Datasets:
kajuma
/
training_03_05_token

Dataset card Data Studio Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
2.05k
2.05k
attention_mask
sequencelengths
2.05k
2.05k
labels
sequencelengths
2.05k
2.05k
[ 48864, 126559, 126101, 39880, 45923, 109554, 127298, 48864, 16144, 112442, 95221, 109669, 76622, 45829, 101662, 38144, 117158, 38093, 16995, 5486, 103350, 124299, 9174, 112990, 25197, 102803, 32131, 29295, 106266, 114485, 15024, 5486, 45829, 67645, 32977, 110792, 116690, 32977, 103424, 115737, 31431, 5486, 45829, 101662, 38144, 121142, 103470, 37087, 38144, 16144, 105908, 119539, 115717, 79721, 9174, 112599, 15682, 127359, 68759, 70141, 76622, 20230, 112442, 95221, 109669, 76622, 114341, 103605, 5486, 114341, 102446, 112415, 30512, 127145, 9174, 53900, 5486, 112442, 95221, 109669, 76622, 20230, 45829, 67645, 102944, 39177, 55031, 109835, 33121, 40862, 107800, 33503, 5486, 105994, 20230, 37026, 22023, 29295, 59739, 50834, 123726, 30369, 123457, 96356, 107294, 105784, 105908, 108608, 6447, 121110, 106515, 72342, 26854, 120987, 8, 106046, 16995, 120268, 106718, 70141, 76622, 20230, 112442, 95221, 109669, 76622, 114341, 103605, 5486, 45829, 67645, 32977, 38093, 104760, 32977, 87447, 113497, 9174, 45829, 67645, 32977, 126027, 43568, 48249, 16144, 125396, 30512, 118322, 40265, 28713, 112586, 15024, 115408, 116907, 32977, 112442, 95221, 109669, 76622, 124195, 61689, 9174, 112442, 95221, 109669, 76622, 16144, 53901, 112495, 110229, 198, 108064, 72661, 36896, 37271, 5486, 110382, 55031, 118587, 78698, 105262, 103984, 28542, 9174, 112442, 95221, 109669, 76622, 117158, 38093, 30297, 25580, 15682, 5486, 103188, 86436, 16144, 100909, 71289, 120987, 16144, 106592, 78698, 107290, 120175, 104526, 102189, 31431, 101128, 102, 102189, 31431, 122416, 16556, 56051, 9174, 72661, 36896, 37271, 5486, 110382, 55031, 118587, 37689, 109375, 54926, 101200, 117084, 5486, 102769, 109913, 29295, 103856, 115737, 31431, 5486, 101128, 102, 17129, 123733, 31431, 79721, 1811, 19732, 114598, 124749, 78459, 16073, 38641, 9174, 567, 111925, 104858, 106353, 102765, 10110, 15682, 72342, 220, 21105, 248, 32149, 23954, 112442, 95221, 109669, 76622, 106759, 45829, 127298, 48864, 114341, 103605, 114341, 104599, 10110, 117669, 126835, 124417, 124597, 124606, 37823, 117697, 11972, 9458, 124606, 124597, 126835, 20251, 44971, 109793, 11972, 7705, 9458, 52030, 106528, 104599, 9458, 33563, 101662, 101559, 9458, 102832, 91482, 38248, 113, 76171, 114341, 104599, 198, 112442, 95221, 16144, 21105, 248, 47884, 220, 106691, 271, 4468, 17, 8107, 21990, 9085, 99742, 60174, 72099, 59739, 47884, 81219, 23530, 19000, 101987, 10110, 103005, 106344, 72099, 20834, 96356, 23954, 34617, 116581, 16144, 103760, 198, 52030, 106528, 104599, 605, 8107, 5486, 102832, 91482, 38248, 113, 76171, 114341, 104599, 605, 8107, 5486, 111528, 113261, 116581, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 107420, 103306, 5486, 7467, 13372, 71689, 16144, 106759, 45829, 19732, 97518, 78183, 30369, 9174, 101544, 58850, 29295, 19, 97049, 5486, 33671, 58850, 29295, 16, 97049, 16144, 39177, 5486, 45829, 101662, 38144, 120650, 50834, 50520, 108, 115464, 9174, 17297, 117255, 29295, 21990, 17129, 104028, 17129, 77181, 114318, 111243, 27384, 102769, 20230, 91763, 106358, 17905, 117255, 111363, 120208, 29295, 124500, 107462, 47884, 9174, 104405, 39926, 104712, 32149, 17620, 124403, 31195, 1811, 107943, 126101, 5486, 112442, 95221, 109669, 76622, 117158, 38093, 30297, 9174, 39880, 45923, 109554, 127298, 48864, 30512, 48864, 102802, 5486, 105994, 116907, 5486, 80539, 122013, 105352, 104721, 33208, 29295, 125119, 100472, 9174, 37823, 117697, 11972, 103087, 35083, 30512, 115181, 74482, 5486, 114341, 103605, 125523, 114341, 9174, 101682, 114341, 21990, 103826, 105352, 67645, 124592, 25827, 104721, 33208, 29295, 16556, 38144, 5486, 112442, 95221, 109669, 76622, 114341, 103605, 114341, 104599, 30512, 36827, 107430, 106046, 105262, 108680, 20230, 9174, 112832, 32149, 30512, 112442, 95221, 109669, 105784, 103846, 102052, 5486, 126843, 15682, 5486, 105994, 116907, 16144, 64209, 16144, 103672, 127764, 30512, 112442, 95221, 16144, 21105, 248, 47884, 16556, 112624, 28713, 17663, 100909, 9174, 112624, 127065, 117084, 108149, 105104, 33121, 22957, 109416, 103468, 115303, 21105, 248, 47884, 29295, 5486, 43511, 124911, 105352, 103682, 27869, 233, 30512, 108285, 102639, 100481, 47884, 9174, 64209, 16144, 103672, 127764, 30512, 112624, 28713, 17663, 33334, 46034, 108044, 16995, 29295, 56051, 16995, 102677, 101067, 16995, 30512, 104526, 107436, 112415, 103792, 9174, 112599, 5486, 45829, 101662, 38144, 68759, 68759, 5486, 52030, 106528, 104599, 5486, 52030, 106528, 106718, 5486, 33563, 101662, 101559, 5486, 113261, 24615, 248, 104674, 100927, 101790, 255, 5486, 113598, 106528, 100927, 101790, 255, 70141, 76622, 123160, 101772, 23951, 5486, 114341, 103605, 5486, 114341, 102446, 30512, 43240, 9039, 87447, 113497, 9174, 39880, 45923, 109554, 127298, 48864, 16144, 101523, 227, 48634, 5486, 115364, 104721, 33208, 104309, 198, 115364, 125456, 16144, 23706, 244, 30512, 53283, 31431, 5486, 64209, 29295, 106644, 30369, 64121, 5486, 16937, 108038, 26854, 105994, 32977, 101682, 76622, 125639, 110071, 101200, 110276, 105908, 114318, 111243, 119448, 16995, 9174, 567, 103993, 110362, 58666, 121995, 45829, 10110, 64121, 71289, 76622, 64121, 58942, 22957, 23954, 49838, 105791, 117255, 101662, 38144, 100927, 102452, 13177, 12481, 12224, 10646, 36668, 8676, 108, 198, 108936, 61337, 108638, 122491, 102832, 91482, 38248, 113, 76171, 108975, 38093, 106982, 115332, 114341, 104599, 198, 107461, 72369, 108941, 16073, 9458, 104603, 123186, 114363, 49988, 14031, 3015, 37823, 117697, 11972, 271, 4468, 15, 8107, 21990, 115728, 105065, 72099, 106150, 114035, 23530, 19000, 101987, 220, 25963, 116581, 16144, 103760, 198, 102832, 91482, 38248, 113, 76171, 19732, 112442, 95221, 109669, 76622, 30512, 33035, 39926, 108948, 103760, 98369, 19732, 33334, 45829, 115867, 49838, 115499, 115079, 126172, 198, 33334, 46034, 108044, 16995, 30512, 127145, 9174, 112185, 33334, 87177, 16144, 106084, 100604, 109657, 108056, 16144, 119400, 55031, 108048, 108422, 33121, 13177, 102159, 66383, 39926, 16144, 5486, 119883, 50834, 114792, 76947, 61689, 9174, 58426, 45829, 67645, 102944, 30832, 16556, 91774, 38144, 5486, 45829, 67645, 102944, 108870, 16556, 36735, 112, 102532, 5486, 45829, 67645, 102944, 64209, 16556, 112391, 30369, 106592, 27384, 102769, 117657, 100909, 9174, 53900, 5486, 105994, 116907, 30512, 53283, 76947, 105994, 30512, 27384, 102769, 117657, 118733, 5486, 125821, 27384, 53901, 112495, 124563, 31431, 106956, 105994, 108176, 103846, 112197, 87177, 30512, 114341, 103605, 5486, 114341, 102446, 108948, 100927, 102452, 30512, 33035, 39926, 107726, 100481, 90620, 102532, 61689, 9174, 45829, 101662, 38144, 16144, 25580, 29172, 30512, 110745, 104721, 127587, 240, 105465, 102800, 9458, 105994, 30512, 13153, 101544, 107726, 38144, 124089, 102944, 124259, 104721, 58942, 100481, 50834, 33541, 106609, 115364, 105908, 27384, 120111, 6447, 19732, 78244, 105262, 33334, 103760, 98369, 108948, 45829, 98369, 30512, 115079, 71289, 109768, 105898, 16995, 38641, 9174, 20834, 38093, 107290, 57980, 102518, 114318, 33334, 103760, 98369, 126027, 104157, 116245, 101983, 104028, 105908, 115408, 16144, 24186, 95221, 16144, 39084, 38641, 40620, 198, 39880, 45923, 109554, 127298, 48864, 16144, 101523, 227, 48634, 198, 86127, 29295, 39880, 45923, 109554, 127298, 48864, 16144, 53901, 112495, 110229, 15682, 36896, 40053, 20230, 103926, 114792, 76947, 5486, 112772, 103130, 104004, 10646, 28542, 38641, 9174, 105994, 30512, 22023, 100204, 38144, 5486, 41642, 31431, 30512, 22023, 100204, 38144, 5486, 80539, 41642, 111842, 108975, 48634, 39926, 5486, 120987, 30512, 115364, 48634, 16556, 109832, 107462, 47884, 113727, 24273, 20230, 101523, 227, 123457, 112391, 127280, 9174, 115364, 91774, 24273, 30512, 104721, 58942, 104533, 5486, 41642, 112586, 36117, 95, 115032, 103926, 29295, 91774, 107290, 50834, 33541, 40620, 198, 567, 4996, 114, 233, 107380, 116421, 45829, 10110, 103801, 33334, 220, 116421, 22957, 23954, 39880, 45923, 109554, 127298, 48864, 2818, 44, 114341, 103605, 10110, 112442, 95221, 109669, 76622, 30512, 48864, 104369, 7705, 114341, 104599, 5486, 114435, 101772, 23951, 114341, 104599, 9174, 117813, 103991, 122411, 121987, 10110, 116622, 117813, 103991, 102667, 121987, 111681, 39607, 23951, 35287, 23954, 103188, 86436, 102052, 102667, 113245, 108901, 106581, 113954, 16144, 114341, 104599, 32977, 106613, 111186, 9174, 7927, 5208, 91082, 8676, 108, 271, 4468, 23, 8107, 21990, 104932, 108931, 27384, 101129, 24775, 19000, 101987, 220, 17, 116581, 16144, 31809, 106718, 16144, 103760, 198, 101778, 59563, 39880, 125581, 32335, 80631, 100, 29504, 19732, 103458, 126832, 32131, 90962, 22398, 20230, 44597, 8107, 56965, 73597, 252, 19000, 15024, 121593, 127557, 48864, 19732, 106581, 17792, 104770, 48864, 16144, 41920, 112169, 55031, 13177, 108044, 105156, 127557, 118587, 102473, 9174, 110924, 55031, 106839, 32149, 103468, 198, 11144, 43511, 106581, 30512, 53283, 30369, 52118, 37026, 106581, 30512, 53283, 30369, 52118, 105994, 30512, 53283, 30369, 11199, 102677, 107420, 64810, 22398, 30512, 106613, 38144, 118969, 75694, 17129, 26854, 102944, 16144, 91774, 24273, 16144, 48706, 20230, 109834, 103868, 30512, 110794, 36896, 106515, 72342, 30512, 112391, 30369, 102944, 16144, 91774, 24273, 117503, 106767, 32018, 29295, 27704, 115464, 9174, 115963, 23538, 117158, 38093, 100472, 39880, 45923, 109554, 127298, 48864, 16556, 13177, 106515, 72342, 30512, 112391, 30369, 102944, 16144, 91774, 24273, 117503, 100818, 116, 30512, 50928, 28713, 100909, 112212, 108048, 103296, 112391, 101732, 43511, 17792, 20230, 47260, 52414, 42634, 64178, 103646, 17792, 21990, 55031, 5486, 33354, 237, 71289, 32149, 16556, 113116, 112535, 37026, 80195, 56051, 17792, 21990, 124259, 104721, 33208, 54926, 9174, 58426, 74482, 39880, 45923, 109554, 127298, 48864, 5486, 37026, 33503, 112973, 25827, 101545, 44309, 113245, 95221, 109669, 50834, 30512, 105156, 40862, 9174, 103983, 101911, 16556, 122502, 47884, 91482, 76428, 102750, 22398, 80805, 38248, 121, 16073, 30512, 103359, 47523, 20230, 13177, 64209, 30590, 104712, 114516, 116690, 30512, 101662, 104004, 118587, 102494, 67075, 11972, 116446, 112442, 95221, 109669, 76622, 5486, 119046, 33014, 99750, 112854, 30512, 30358, 103984, 56051, 17792, 103234, 101662, 13153, 16144, 46034, 25333, 30512, 5486, 114435, 113245, 101772, 23951, 5486, 114341, 103605, 5486, 64810, 101198, 118567, 5486, 121568, 64810, 26269, 104272, 16556, 104908, 103792, 9174, 99849, 19732, 78244, 114598, 113173, 105242, 16144, 39880, 107420, 113335, 16556, 103984, 28542, 16144, 104721, 109033, 29295, 72718, 50834, 30369, 100909, 106609, 567, 101961, 107380, 122447, 101734, 233, 10110, 16995, 43514, 33334, 220, 21105, 240, 104328, 22957, 23954, 15120, 107380, 59657, 122, 116814, 122, 101544, 198, 37026, 36668, 104575, 10447, 222, 105, 109076, 103223, 29220, 33710, 115592, 64178, 104102, 233, 112167, 113160, 49988, 30046, 271, 39880, 29220, 103906, 52884, 9458, 52884, 44971, 76171, 9458, 64810, 101198, 118567, 104736, 23187, 114341, 104599, 271, 4468, 20, 8107, 21990, 118828, 53283, 72099, 120354, 109076, 23530, 19000, 101987, 220, 17, 116581, 16144, 104503, 198, 605, 8107, 56965, 60868, 32131, 37823, 108941, 16073, 103306, 103826, 104680, 26854, 101275, 104091, 5486, 107430, 104091, 30512, 106613, 111186, 9174, 85701, 117758, 106222, 30512, 123726, 113487, 47884, 124122, 123457, 101662, 104004, 104378, 16144, 109215, 34171, 30512, 108631, 99750, 109807, 104356, 126067, 121711, 105262, 103378, 16144, 48634, 104195, 30813, 114792, 100472, 39880, 45923, 109554, 127298, 48864, 19732, 20834, 38093, 30297, 9174, 1049, 24, 116033, 86127, 59657, 122, 16556, 118326, 87447, 101275, 39926, 126328, 120268, 16325, 106718, 21909, 102667, 21990, 5486, 123050, 30046, 5486, 100927, 102351, 5486, 106222, 17792, 20230, 39880, 45923, 109554, 127298, 48864, 30512, 104356, 114267, 114341, 103605, 125523, 113497, 9174, 679, 19, 8107, 126328, 5486, 45829, 67645, 32977, 105459, 29295, 123726, 123726, 19732, 121410, 9080, 30512, 103188, 48154, 17663, 105908, 103082, 5486, 122270, 115847, 117758, 113146, 121960, 106515, 72342, 20230, 123726, 100481, 105784, 105933, 119208, 106222, 19732, 107391, 104612, 16144, 19000, 31431, 24273, 116825, 109749, 113009, 37026, 36668, 104575, 120354, 109076, 103223, 29220, 33710, 115592, 64178, 30512, 109832, 80195, 9174, 17039, 102800, 35417, 104378, 16144, 83799, 121254, 107441, 112415, 103792, 9174, 13177, 104378, 15682, 106222, 30512, 104721, 105262, 48634, 114792, 103836, 66383, 95604, 39880, 45923, 109554, 16144, 104195, 16995, 114284, 29295, 96412, 17129, 115032, 110229, 20230, 101523, 227, 32149, 115032, 118855, 5486, 114516, 106063, 66378, 16144, 125396, 30512, 64209, 55031, 22023, 117943, 103792, 113727, 24273, 71289, 120987, 125456, 103195, 115789, 27384, 112495, 101523, 227, 48634, 9174, 115364, 104721, 33208, 198, 39880, 45923, 109554, 127298, 48864, 30512, 115364, 23039, 103836, 104378, 16144, 104356, 117657, 118733, 5486, 74090, 55038, 19732, 113173, 29295, 15682, 121381, 31431, 15024, 5486, 115364, 104378, 103350, 124299, 20230, 51385, 23187, 99750, 30512, 32977, 127567, 56051, 109900, 112212, 5486, 103826, 104680, 26854, 103350, 124299, 105352, 114099, 102669, 108608, 101200, 110276, 9174, 567, 123335, 76505, 122393, 10110, 15682, 30369, 50834, 18049, 223, 104699, 64121, 23954, 1548, 6862, 10902, 458, 104736, 23187, 106759, 45829, 127298, 48864, 114341, 104599, 198, 40, 2607, 32, 127123, 103927, 112997, 103906, 48552, 64810, 32131, 93298, 108975, 38093, 104736, 23187, 112673, 102472, 76171, 71634, 119539, 102514, 271, 4468, 20, 8107, 21990, 123606, 1811, 103005, 106344, 72099, 20834, 96356, 1811, 116622, 19000, 101987, 9174, 24, 97049, 9458, 21, 97049, 9458, 16, 97049, 5486, 18, 107707, 71208, 117255, 16144, 103760, 9174, 126326, 108134, 116044, 16144, 114835, 103857, 44971, 29220, 102514, 103306, 605, 8107, 114731, 102781, 9174, 107167, 76739, 25197, 103906, 52884, 48634, 16144, 126574, 42016, 59999, 248, 20230, 116310, 17129, 106824, 5486, 110219, 120195, 30369, 105994, 20230, 37026, 22023, 29295, 32977, 38144, 100604, 9080, 104680, 30512, 37705, 30369, 9174, 45829, 101662, 111243, 5486, 30297, 17129, 47884, 118544, 100604, 100909, 16144, 89046, 106307, 16556, 5486, 117876, 32977, 99959, 39850, 5486, 45829, 101662, 111243, 99959, 39850, 1981, 19732, 5486, 122270, 37026, 22023, 30512, 103470, 17663, 9174, 86127, 120950, 119436, 20230, 101662, 38144, 38144, 112987, 124324, 19732, 5486, 23018, 45829, 30512, 106782, 240, 107436, 110137, 81219, 102131, 117408, 102944, 16144, 5486, 99959, 39850, 20834, 21105, 108, 107277, 16556, 5486, 25197, 102803, 32131, 113799, 122173, 30369, 121410, 9080, 9174, 102756, 32131, 105352, 17663, 29295, 30369, 114284, 16556, 13177, 112442, 95221, 109669, 76622, 114341, 103605, 10646, 114475, 114341, 9174, 21388, 113529, 21105, 103, 16995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48864, 126559, 126101, 39880, 45923, 109554, 127298, 48864, 16144, 112442, 95221, 109669, 76622, 45829, 101662, 38144, 117158, 38093, 16995, 5486, 103350, 124299, 9174, 112990, 25197, 102803, 32131, 29295, 106266, 114485, 15024, 5486, 45829, 67645, 32977, 110792, 116690, 32977, 103424, 115737, 31431, 5486, 45829, 101662, 38144, 121142, 103470, 37087, 38144, 16144, 105908, 119539, 115717, 79721, 9174, 112599, 15682, 127359, 68759, 70141, 76622, 20230, 112442, 95221, 109669, 76622, 114341, 103605, 5486, 114341, 102446, 112415, 30512, 127145, 9174, 53900, 5486, 112442, 95221, 109669, 76622, 20230, 45829, 67645, 102944, 39177, 55031, 109835, 33121, 40862, 107800, 33503, 5486, 105994, 20230, 37026, 22023, 29295, 59739, 50834, 123726, 30369, 123457, 96356, 107294, 105784, 105908, 108608, 6447, 121110, 106515, 72342, 26854, 120987, 8, 106046, 16995, 120268, 106718, 70141, 76622, 20230, 112442, 95221, 109669, 76622, 114341, 103605, 5486, 45829, 67645, 32977, 38093, 104760, 32977, 87447, 113497, 9174, 45829, 67645, 32977, 126027, 43568, 48249, 16144, 125396, 30512, 118322, 40265, 28713, 112586, 15024, 115408, 116907, 32977, 112442, 95221, 109669, 76622, 124195, 61689, 9174, 112442, 95221, 109669, 76622, 16144, 53901, 112495, 110229, 198, 108064, 72661, 36896, 37271, 5486, 110382, 55031, 118587, 78698, 105262, 103984, 28542, 9174, 112442, 95221, 109669, 76622, 117158, 38093, 30297, 25580, 15682, 5486, 103188, 86436, 16144, 100909, 71289, 120987, 16144, 106592, 78698, 107290, 120175, 104526, 102189, 31431, 101128, 102, 102189, 31431, 122416, 16556, 56051, 9174, 72661, 36896, 37271, 5486, 110382, 55031, 118587, 37689, 109375, 54926, 101200, 117084, 5486, 102769, 109913, 29295, 103856, 115737, 31431, 5486, 101128, 102, 17129, 123733, 31431, 79721, 1811, 19732, 114598, 124749, 78459, 16073, 38641, 9174, 567, 111925, 104858, 106353, 102765, 10110, 15682, 72342, 220, 21105, 248, 32149, 23954, 112442, 95221, 109669, 76622, 106759, 45829, 127298, 48864, 114341, 103605, 114341, 104599, 10110, 117669, 126835, 124417, 124597, 124606, 37823, 117697, 11972, 9458, 124606, 124597, 126835, 20251, 44971, 109793, 11972, 7705, 9458, 52030, 106528, 104599, 9458, 33563, 101662, 101559, 9458, 102832, 91482, 38248, 113, 76171, 114341, 104599, 198, 112442, 95221, 16144, 21105, 248, 47884, 220, 106691, 271, 4468, 17, 8107, 21990, 9085, 99742, 60174, 72099, 59739, 47884, 81219, 23530, 19000, 101987, 10110, 103005, 106344, 72099, 20834, 96356, 23954, 34617, 116581, 16144, 103760, 198, 52030, 106528, 104599, 605, 8107, 5486, 102832, 91482, 38248, 113, 76171, 114341, 104599, 605, 8107, 5486, 111528, 113261, 116581, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 107420, 103306, 5486, 7467, 13372, 71689, 16144, 106759, 45829, 19732, 97518, 78183, 30369, 9174, 101544, 58850, 29295, 19, 97049, 5486, 33671, 58850, 29295, 16, 97049, 16144, 39177, 5486, 45829, 101662, 38144, 120650, 50834, 50520, 108, 115464, 9174, 17297, 117255, 29295, 21990, 17129, 104028, 17129, 77181, 114318, 111243, 27384, 102769, 20230, 91763, 106358, 17905, 117255, 111363, 120208, 29295, 124500, 107462, 47884, 9174, 104405, 39926, 104712, 32149, 17620, 124403, 31195, 1811, 107943, 126101, 5486, 112442, 95221, 109669, 76622, 117158, 38093, 30297, 9174, 39880, 45923, 109554, 127298, 48864, 30512, 48864, 102802, 5486, 105994, 116907, 5486, 80539, 122013, 105352, 104721, 33208, 29295, 125119, 100472, 9174, 37823, 117697, 11972, 103087, 35083, 30512, 115181, 74482, 5486, 114341, 103605, 125523, 114341, 9174, 101682, 114341, 21990, 103826, 105352, 67645, 124592, 25827, 104721, 33208, 29295, 16556, 38144, 5486, 112442, 95221, 109669, 76622, 114341, 103605, 114341, 104599, 30512, 36827, 107430, 106046, 105262, 108680, 20230, 9174, 112832, 32149, 30512, 112442, 95221, 109669, 105784, 103846, 102052, 5486, 126843, 15682, 5486, 105994, 116907, 16144, 64209, 16144, 103672, 127764, 30512, 112442, 95221, 16144, 21105, 248, 47884, 16556, 112624, 28713, 17663, 100909, 9174, 112624, 127065, 117084, 108149, 105104, 33121, 22957, 109416, 103468, 115303, 21105, 248, 47884, 29295, 5486, 43511, 124911, 105352, 103682, 27869, 233, 30512, 108285, 102639, 100481, 47884, 9174, 64209, 16144, 103672, 127764, 30512, 112624, 28713, 17663, 33334, 46034, 108044, 16995, 29295, 56051, 16995, 102677, 101067, 16995, 30512, 104526, 107436, 112415, 103792, 9174, 112599, 5486, 45829, 101662, 38144, 68759, 68759, 5486, 52030, 106528, 104599, 5486, 52030, 106528, 106718, 5486, 33563, 101662, 101559, 5486, 113261, 24615, 248, 104674, 100927, 101790, 255, 5486, 113598, 106528, 100927, 101790, 255, 70141, 76622, 123160, 101772, 23951, 5486, 114341, 103605, 5486, 114341, 102446, 30512, 43240, 9039, 87447, 113497, 9174, 39880, 45923, 109554, 127298, 48864, 16144, 101523, 227, 48634, 5486, 115364, 104721, 33208, 104309, 198, 115364, 125456, 16144, 23706, 244, 30512, 53283, 31431, 5486, 64209, 29295, 106644, 30369, 64121, 5486, 16937, 108038, 26854, 105994, 32977, 101682, 76622, 125639, 110071, 101200, 110276, 105908, 114318, 111243, 119448, 16995, 9174, 567, 103993, 110362, 58666, 121995, 45829, 10110, 64121, 71289, 76622, 64121, 58942, 22957, 23954, 49838, 105791, 117255, 101662, 38144, 100927, 102452, 13177, 12481, 12224, 10646, 36668, 8676, 108, 198, 108936, 61337, 108638, 122491, 102832, 91482, 38248, 113, 76171, 108975, 38093, 106982, 115332, 114341, 104599, 198, 107461, 72369, 108941, 16073, 9458, 104603, 123186, 114363, 49988, 14031, 3015, 37823, 117697, 11972, 271, 4468, 15, 8107, 21990, 115728, 105065, 72099, 106150, 114035, 23530, 19000, 101987, 220, 25963, 116581, 16144, 103760, 198, 102832, 91482, 38248, 113, 76171, 19732, 112442, 95221, 109669, 76622, 30512, 33035, 39926, 108948, 103760, 98369, 19732, 33334, 45829, 115867, 49838, 115499, 115079, 126172, 198, 33334, 46034, 108044, 16995, 30512, 127145, 9174, 112185, 33334, 87177, 16144, 106084, 100604, 109657, 108056, 16144, 119400, 55031, 108048, 108422, 33121, 13177, 102159, 66383, 39926, 16144, 5486, 119883, 50834, 114792, 76947, 61689, 9174, 58426, 45829, 67645, 102944, 30832, 16556, 91774, 38144, 5486, 45829, 67645, 102944, 108870, 16556, 36735, 112, 102532, 5486, 45829, 67645, 102944, 64209, 16556, 112391, 30369, 106592, 27384, 102769, 117657, 100909, 9174, 53900, 5486, 105994, 116907, 30512, 53283, 76947, 105994, 30512, 27384, 102769, 117657, 118733, 5486, 125821, 27384, 53901, 112495, 124563, 31431, 106956, 105994, 108176, 103846, 112197, 87177, 30512, 114341, 103605, 5486, 114341, 102446, 108948, 100927, 102452, 30512, 33035, 39926, 107726, 100481, 90620, 102532, 61689, 9174, 45829, 101662, 38144, 16144, 25580, 29172, 30512, 110745, 104721, 127587, 240, 105465, 102800, 9458, 105994, 30512, 13153, 101544, 107726, 38144, 124089, 102944, 124259, 104721, 58942, 100481, 50834, 33541, 106609, 115364, 105908, 27384, 120111, 6447, 19732, 78244, 105262, 33334, 103760, 98369, 108948, 45829, 98369, 30512, 115079, 71289, 109768, 105898, 16995, 38641, 9174, 20834, 38093, 107290, 57980, 102518, 114318, 33334, 103760, 98369, 126027, 104157, 116245, 101983, 104028, 105908, 115408, 16144, 24186, 95221, 16144, 39084, 38641, 40620, 198, 39880, 45923, 109554, 127298, 48864, 16144, 101523, 227, 48634, 198, 86127, 29295, 39880, 45923, 109554, 127298, 48864, 16144, 53901, 112495, 110229, 15682, 36896, 40053, 20230, 103926, 114792, 76947, 5486, 112772, 103130, 104004, 10646, 28542, 38641, 9174, 105994, 30512, 22023, 100204, 38144, 5486, 41642, 31431, 30512, 22023, 100204, 38144, 5486, 80539, 41642, 111842, 108975, 48634, 39926, 5486, 120987, 30512, 115364, 48634, 16556, 109832, 107462, 47884, 113727, 24273, 20230, 101523, 227, 123457, 112391, 127280, 9174, 115364, 91774, 24273, 30512, 104721, 58942, 104533, 5486, 41642, 112586, 36117, 95, 115032, 103926, 29295, 91774, 107290, 50834, 33541, 40620, 198, 567, 4996, 114, 233, 107380, 116421, 45829, 10110, 103801, 33334, 220, 116421, 22957, 23954, 39880, 45923, 109554, 127298, 48864, 2818, 44, 114341, 103605, 10110, 112442, 95221, 109669, 76622, 30512, 48864, 104369, 7705, 114341, 104599, 5486, 114435, 101772, 23951, 114341, 104599, 9174, 117813, 103991, 122411, 121987, 10110, 116622, 117813, 103991, 102667, 121987, 111681, 39607, 23951, 35287, 23954, 103188, 86436, 102052, 102667, 113245, 108901, 106581, 113954, 16144, 114341, 104599, 32977, 106613, 111186, 9174, 7927, 5208, 91082, 8676, 108, 271, 4468, 23, 8107, 21990, 104932, 108931, 27384, 101129, 24775, 19000, 101987, 220, 17, 116581, 16144, 31809, 106718, 16144, 103760, 198, 101778, 59563, 39880, 125581, 32335, 80631, 100, 29504, 19732, 103458, 126832, 32131, 90962, 22398, 20230, 44597, 8107, 56965, 73597, 252, 19000, 15024, 121593, 127557, 48864, 19732, 106581, 17792, 104770, 48864, 16144, 41920, 112169, 55031, 13177, 108044, 105156, 127557, 118587, 102473, 9174, 110924, 55031, 106839, 32149, 103468, 198, 11144, 43511, 106581, 30512, 53283, 30369, 52118, 37026, 106581, 30512, 53283, 30369, 52118, 105994, 30512, 53283, 30369, 11199, 102677, 107420, 64810, 22398, 30512, 106613, 38144, 118969, 75694, 17129, 26854, 102944, 16144, 91774, 24273, 16144, 48706, 20230, 109834, 103868, 30512, 110794, 36896, 106515, 72342, 30512, 112391, 30369, 102944, 16144, 91774, 24273, 117503, 106767, 32018, 29295, 27704, 115464, 9174, 115963, 23538, 117158, 38093, 100472, 39880, 45923, 109554, 127298, 48864, 16556, 13177, 106515, 72342, 30512, 112391, 30369, 102944, 16144, 91774, 24273, 117503, 100818, 116, 30512, 50928, 28713, 100909, 112212, 108048, 103296, 112391, 101732, 43511, 17792, 20230, 47260, 52414, 42634, 64178, 103646, 17792, 21990, 55031, 5486, 33354, 237, 71289, 32149, 16556, 113116, 112535, 37026, 80195, 56051, 17792, 21990, 124259, 104721, 33208, 54926, 9174, 58426, 74482, 39880, 45923, 109554, 127298, 48864, 5486, 37026, 33503, 112973, 25827, 101545, 44309, 113245, 95221, 109669, 50834, 30512, 105156, 40862, 9174, 103983, 101911, 16556, 122502, 47884, 91482, 76428, 102750, 22398, 80805, 38248, 121, 16073, 30512, 103359, 47523, 20230, 13177, 64209, 30590, 104712, 114516, 116690, 30512, 101662, 104004, 118587, 102494, 67075, 11972, 116446, 112442, 95221, 109669, 76622, 5486, 119046, 33014, 99750, 112854, 30512, 30358, 103984, 56051, 17792, 103234, 101662, 13153, 16144, 46034, 25333, 30512, 5486, 114435, 113245, 101772, 23951, 5486, 114341, 103605, 5486, 64810, 101198, 118567, 5486, 121568, 64810, 26269, 104272, 16556, 104908, 103792, 9174, 99849, 19732, 78244, 114598, 113173, 105242, 16144, 39880, 107420, 113335, 16556, 103984, 28542, 16144, 104721, 109033, 29295, 72718, 50834, 30369, 100909, 106609, 567, 101961, 107380, 122447, 101734, 233, 10110, 16995, 43514, 33334, 220, 21105, 240, 104328, 22957, 23954, 15120, 107380, 59657, 122, 116814, 122, 101544, 198, 37026, 36668, 104575, 10447, 222, 105, 109076, 103223, 29220, 33710, 115592, 64178, 104102, 233, 112167, 113160, 49988, 30046, 271, 39880, 29220, 103906, 52884, 9458, 52884, 44971, 76171, 9458, 64810, 101198, 118567, 104736, 23187, 114341, 104599, 271, 4468, 20, 8107, 21990, 118828, 53283, 72099, 120354, 109076, 23530, 19000, 101987, 220, 17, 116581, 16144, 104503, 198, 605, 8107, 56965, 60868, 32131, 37823, 108941, 16073, 103306, 103826, 104680, 26854, 101275, 104091, 5486, 107430, 104091, 30512, 106613, 111186, 9174, 85701, 117758, 106222, 30512, 123726, 113487, 47884, 124122, 123457, 101662, 104004, 104378, 16144, 109215, 34171, 30512, 108631, 99750, 109807, 104356, 126067, 121711, 105262, 103378, 16144, 48634, 104195, 30813, 114792, 100472, 39880, 45923, 109554, 127298, 48864, 19732, 20834, 38093, 30297, 9174, 1049, 24, 116033, 86127, 59657, 122, 16556, 118326, 87447, 101275, 39926, 126328, 120268, 16325, 106718, 21909, 102667, 21990, 5486, 123050, 30046, 5486, 100927, 102351, 5486, 106222, 17792, 20230, 39880, 45923, 109554, 127298, 48864, 30512, 104356, 114267, 114341, 103605, 125523, 113497, 9174, 679, 19, 8107, 126328, 5486, 45829, 67645, 32977, 105459, 29295, 123726, 123726, 19732, 121410, 9080, 30512, 103188, 48154, 17663, 105908, 103082, 5486, 122270, 115847, 117758, 113146, 121960, 106515, 72342, 20230, 123726, 100481, 105784, 105933, 119208, 106222, 19732, 107391, 104612, 16144, 19000, 31431, 24273, 116825, 109749, 113009, 37026, 36668, 104575, 120354, 109076, 103223, 29220, 33710, 115592, 64178, 30512, 109832, 80195, 9174, 17039, 102800, 35417, 104378, 16144, 83799, 121254, 107441, 112415, 103792, 9174, 13177, 104378, 15682, 106222, 30512, 104721, 105262, 48634, 114792, 103836, 66383, 95604, 39880, 45923, 109554, 16144, 104195, 16995, 114284, 29295, 96412, 17129, 115032, 110229, 20230, 101523, 227, 32149, 115032, 118855, 5486, 114516, 106063, 66378, 16144, 125396, 30512, 64209, 55031, 22023, 117943, 103792, 113727, 24273, 71289, 120987, 125456, 103195, 115789, 27384, 112495, 101523, 227, 48634, 9174, 115364, 104721, 33208, 198, 39880, 45923, 109554, 127298, 48864, 30512, 115364, 23039, 103836, 104378, 16144, 104356, 117657, 118733, 5486, 74090, 55038, 19732, 113173, 29295, 15682, 121381, 31431, 15024, 5486, 115364, 104378, 103350, 124299, 20230, 51385, 23187, 99750, 30512, 32977, 127567, 56051, 109900, 112212, 5486, 103826, 104680, 26854, 103350, 124299, 105352, 114099, 102669, 108608, 101200, 110276, 9174, 567, 123335, 76505, 122393, 10110, 15682, 30369, 50834, 18049, 223, 104699, 64121, 23954, 1548, 6862, 10902, 458, 104736, 23187, 106759, 45829, 127298, 48864, 114341, 104599, 198, 40, 2607, 32, 127123, 103927, 112997, 103906, 48552, 64810, 32131, 93298, 108975, 38093, 104736, 23187, 112673, 102472, 76171, 71634, 119539, 102514, 271, 4468, 20, 8107, 21990, 123606, 1811, 103005, 106344, 72099, 20834, 96356, 1811, 116622, 19000, 101987, 9174, 24, 97049, 9458, 21, 97049, 9458, 16, 97049, 5486, 18, 107707, 71208, 117255, 16144, 103760, 9174, 126326, 108134, 116044, 16144, 114835, 103857, 44971, 29220, 102514, 103306, 605, 8107, 114731, 102781, 9174, 107167, 76739, 25197, 103906, 52884, 48634, 16144, 126574, 42016, 59999, 248, 20230, 116310, 17129, 106824, 5486, 110219, 120195, 30369, 105994, 20230, 37026, 22023, 29295, 32977, 38144, 100604, 9080, 104680, 30512, 37705, 30369, 9174, 45829, 101662, 111243, 5486, 30297, 17129, 47884, 118544, 100604, 100909, 16144, 89046, 106307, 16556, 5486, 117876, 32977, 99959, 39850, 5486, 45829, 101662, 111243, 99959, 39850, 1981, 19732, 5486, 122270, 37026, 22023, 30512, 103470, 17663, 9174, 86127, 120950, 119436, 20230, 101662, 38144, 38144, 112987, 124324, 19732, 5486, 23018, 45829, 30512, 106782, 240, 107436, 110137, 81219, 102131, 117408, 102944, 16144, 5486, 99959, 39850, 20834, 21105, 108, 107277, 16556, 5486, 25197, 102803, 32131, 113799, 122173, 30369, 121410, 9080, 9174, 102756, 32131, 105352, 17663, 29295, 30369, 114284, 16556, 13177, 112442, 95221, 109669, 76622, 114341, 103605, 10646, 114475, 114341, 9174, 21388, 113529, 21105, 103, 16995 ]
[ 104466, 123726, 38144, 105898, 105994, 5486, 37026, 22023, 16144, 26854, 30813, 30512, 106759, 16144, 72342, 119178, 107113, 105994, 20230, 95221, 109669, 47884, 9174, 23018, 45829, 105459, 102052, 5486, 105994, 16556, 113871, 30512, 64121, 59739, 107441, 123120, 108608, 119436, 117084, 102717, 102800, 114318, 104195, 47884, 114284, 5486, 126843, 15682, 105994, 29295, 113871, 30512, 109339, 105262, 17792, 21990, 30512, 37705, 30369, 106592, 104662, 37689, 9174, 108695, 30512, 56906, 107430, 15024, 110745, 53901, 112495, 112673, 102472, 16144, 53508, 231, 104195, 30512, 15682, 100204, 62004, 5486, 45829, 89046, 33121, 68759, 68759, 70141, 76622, 16144, 112673, 102472, 100927, 102452, 30512, 105335, 84477, 9174, 13177, 33354, 237, 71289, 107188, 68759, 68759, 108176, 118587, 109713, 64810, 57326, 20251, 20230, 5486, 20, 8107, 16556, 11711, 103214, 16144, 68759, 68759, 30512, 23706, 240, 17663, 9174, 679, 18, 8107, 105755, 112442, 95221, 109669, 76622, 114341, 103605, 32977, 111671, 66327, 45829, 101662, 38144, 16144, 109440, 16995, 29295, 105465, 21105, 123, 20230, 124500, 100472, 59712, 113799, 122173, 30369, 105908, 114485, 100472, 59712, 105465, 110276, 66383, 53901, 107624, 9174, 102803, 102514, 106613, 111186, 30512, 118544, 56051, 44620, 112442, 95221, 109669, 76622, 39850, 33710, 68759, 102472, 36761, 15682, 98499, 30046, 9039, 2636, 13372, 30512, 72404, 58942, 36896, 71289, 30813, 102800, 112690, 20230, 23706, 240, 107001, 59712, 33354, 237, 71289, 107188, 120208, 101983, 104028, 66383, 5486, 111717, 55031, 104940, 102802, 16144, 99750, 101067, 29295, 109948, 47884, 9174, 62903, 26269, 78525, 78459, 39880, 99959, 107446, 100927, 102452, 120268, 104575, 16144, 118006, 104378, 48864, 104297, 5486, 113261, 24615, 248, 104674, 16144, 123050, 30046, 38093, 102083, 100472, 114341, 102446, 103963, 117943, 32977, 43240, 9039, 9174, 679, 20, 116033, 124226, 71208, 30512, 20834, 106518, 1811, 30358, 27479, 16144, 61826, 36827, 34171, 64209, 116436, 111694, 115991, 5486, 105994, 30512, 113160, 109315, 107202, 21105, 243, 30512, 33014, 111186, 1811, 102099, 112442, 95221, 109669, 76622, 16144, 76739, 124643, 104603, 11972, 30512, 108631, 99750, 54926, 9174, 107202, 111108, 30512, 110498, 31431, 104087, 107800, 46091, 71208, 19732, 126419, 20230, 112442, 95221, 109669, 76622, 30512, 108044, 58942, 106956, 19732, 112391, 5486, 33563, 101662, 105335, 26269, 52591, 59739, 50834, 16556, 13177, 112442, 95221, 109669, 76622, 114341, 103605, 118587, 37823, 105335, 84477, 9174, 112442, 95221, 109669, 76622, 117158, 38093, 30297, 123628, 37026, 22023, 16144, 26854, 30813, 29295, 65299, 102741, 119775, 123334, 31431, 106956, 120266, 25580, 70141, 112495, 105994, 20230, 121602, 119188, 9174, 122013, 16144, 60868, 121057, 32977, 104195, 48634, 16556, 5486, 107202, 46034, 26854, 103350, 103760, 110792, 78183, 36785, 32149, 109709, 29295, 19732, 107441, 105898, 115789, 115515, 123470, 112415, 20230, 118544, 109768, 105898, 16995, 9174, 567, 106181, 116, 58911, 31938, 223, 58666, 10110, 115464, 71289, 17129, 113202, 47884, 64121, 23954, 112442, 95221, 109669, 76622, 103927, 103202, 90962, 38248, 105, 96452, 25197, 119534, 198, 76428, 52884, 107446, 62903, 108994, 25197, 52591, 220, 106691, 198, 119695, 116229, 198, 4468, 24, 8107, 21990, 104932, 108931, 16325, 102212, 24775, 19000, 101987, 220, 25963, 116581, 16144, 103760, 198, 102667, 124305, 101275, 74482, 5486, 122770, 101275, 98220, 20230, 81258, 107430, 54926, 29295, 5486, 100525, 232, 101310, 254, 19732, 115963, 20230, 56906, 107430, 9174, 106515, 72342, 26854, 118006, 30512, 113871, 91774, 28713, 123017, 64063, 16144, 56965, 5486, 45829, 101662, 38144, 29295, 27704, 17129, 76947, 55031, 91763, 30297, 104466, 114834, 30512, 64531, 105262, 105908, 103082, 123733, 31431, 5486, 25197, 102803, 32131, 68759, 68759, 20230, 9174, 25197, 102803, 32131, 30512, 99849, 110162, 56051, 16995, 15120, 64209, 16556, 102494, 101335, 30512, 15017, 101, 38144, 5486, 114834, 30512, 35818, 109669, 76622, 27704, 109315, 29295, 5486, 114834, 29295, 35818, 109669, 102334, 19732, 28713, 25827, 115515, 27479, 15682, 107471, 33503, 32149, 17663, 122013, 30512, 113160, 109315, 101200, 117084, 114732, 9174, 117032, 16144, 35818, 109669, 76622, 101335, 65299, 102040, 65299, 103378, 77181, 106515, 72342, 26854, 118006, 15682, 113638, 124324, 106592, 103350, 99750, 15024, 5486, 1049, 23, 8107, 55031, 39880, 45923, 109554, 127298, 48864, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 46034, 25333, 30512, 35818, 109669, 76622, 20230, 108167, 17701, 104028, 9174, 113702, 5486, 122013, 64121, 103171, 16144, 64209, 20230, 106644, 19732, 31431, 29295, 21990, 123606, 5486, 46729, 16144, 116414, 104088, 18904, 120837, 13177, 102395, 117503, 125641, 67016, 112391, 102204, 100604, 108975, 48634, 15024, 40862, 105262, 118006, 126694, 31431, 109415, 30369, 9174, 121410, 9080, 49838, 105791, 16556, 16995, 110071, 120208, 57980, 30813, 19732, 5486, 122013, 30512, 112442, 95221, 109669, 105784, 27384, 102769, 30813, 30512, 108044, 105262, 103846, 108948, 35818, 109669, 76622, 16144, 107420, 103306, 112415, 30512, 111671, 9174, 13177, 105994, 105352, 103082, 102131, 0, 59712, 105994, 30512, 124615, 39926, 122765, 109115, 0, 59712, 64209, 29295, 117355, 115737, 31431, 79721, 0, 10646, 19732, 35818, 109669, 76622, 20230, 101128, 102, 104004, 17792, 104680, 20230, 112442, 95221, 19732, 37026, 22023, 30512, 109948, 76622, 100934, 9174, 39880, 45923, 109554, 127298, 48864, 19732, 20834, 38093, 76947, 5486, 125641, 29295, 47260, 42634, 47260, 42634, 19732, 114652, 91875, 47884, 105994, 114475, 76622, 125639, 110071, 101200, 115717, 79721, 106609, 102099, 112442, 95221, 109669, 76622, 113468, 105994, 116907, 29295, 15120, 87217, 16144, 103868, 24273, 16556, 16995, 124195, 5486, 120987, 16144, 125396, 20230, 36117, 95, 115032, 110229, 29295, 27384, 120111, 38641, 106609, 567, 61696, 239, 101129, 30591, 106644, 64121, 10110, 104004, 33503, 28713, 113170, 106644, 64121, 23954, 2059, 6577, 47373, 106691, 198, 104378, 107420, 89154, 38248, 114, 11972, 10110, 48864, 102802, 16144, 29172, 81742, 46729, 23954, 45280, 3204, 104736, 23187, 104650, 48864, 39880, 45923, 119732, 119534, 198, 39880, 45923, 109554, 127298, 48864, 124606, 124597, 126835, 37823, 117697, 11972, 114341, 104599, 198, 39880, 45923, 109554, 127298, 48864, 117669, 1569, 101, 124417, 1569, 106, 124606, 37823, 117697, 11972, 114341, 104599, 198, 13177, 78698, 105262, 48634, 18028, 102404, 22023, 48634, 121409, 55999, 99750, 48634, 118587, 110137, 81219, 17663, 39880, 45923, 109554, 89753, 112442, 95221, 109669, 76622, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 48154, 29172, 81742, 15024, 5486, 127032, 105459, 29295, 37026, 22023, 30512, 32977, 76947, 105994, 16556, 115364, 17792, 21990, 30512, 125174, 87447, 47884, 123457, 101662, 125655, 41007, 30512, 108044, 105262, 118347, 105988, 124766, 9174, 112442, 95221, 109669, 76622, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 102832, 61398, 20230, 5486, 972, 8107, 56965, 117734, 100927, 102351, 103306, 91774, 38144, 105898, 117734, 21990, 16144, 110783, 30512, 108044, 105262, 118733, 13177, 30832, 101911, 30512, 122765, 28713, 45829, 101662, 38144, 10646, 29295, 106084, 30369, 39880, 107420, 113335, 30512, 123050, 30046, 20230, 108285, 62004, 100934, 9174, 20713, 66115, 8107, 56965, 5486, 101365, 106618, 101701, 72099, 5486, 35722, 120, 106157, 72099, 16144, 86127, 80195, 16325, 45736, 16556, 29504, 102158, 70626, 100927, 101790, 255, 103306, 114731, 102781, 9174, 100927, 70626, 64467, 106839, 16144, 43511, 115132, 114740, 5486, 112673, 118517, 26269, 80805, 115132, 125581, 5486, 90962, 64810, 39880, 114676, 113245, 125559, 101772, 23951, 73686, 96455, 5486, 127123, 113954, 104378, 5486, 104650, 106718, 64467, 106839, 117824, 26854, 30297, 1811, 125559, 16144, 104378, 5486, 100927, 102351, 16144, 110783, 110095, 16144, 121953, 30512, 48864, 102802, 123085, 112028, 7741, 231, 48864, 108710, 105335, 106696, 20230, 107750, 99397, 30512, 108623, 102334, 105908, 2059, 6577, 47373, 30512, 118013, 109415, 28713, 53229, 28542, 117282, 9174, 100927, 102351, 113146, 15682, 127032, 126027, 43240, 103826, 34171, 30512, 102404, 127327, 108608, 104466, 48864, 102802, 40862, 114774, 21990, 107263, 36668, 33014, 16144, 107141, 101275, 105335, 106696, 30512, 106391, 113638, 15024, 5486, 105994, 20230, 37026, 22023, 30512, 32977, 76947, 102404, 22023, 108608, 123457, 101662, 25827, 103082, 28713, 9174, 53900, 5486, 20713, 66115, 8107, 56965, 107809, 16556, 117734, 21990, 16144, 110783, 110095, 71289, 68759, 76171, 45923, 16144, 104721, 33208, 30512, 118322, 40265, 28713, 112586, 15024, 118006, 104378, 126636, 102769, 30813, 30512, 103350, 99750, 15024, 5486, 48864, 102802, 16144, 117501, 30512, 100927, 102452, 19732, 118006, 16144, 110176, 24273, 16556, 64531, 58942, 100481, 47884, 106592, 102404, 22023, 15024, 106307, 107674, 9174, 108895, 56051, 106613, 111186, 55031, 5486, 127032, 105459, 29295, 123726, 123726, 19732, 119883, 102532, 48864, 104369, 103846, 102052, 123050, 30046, 19732, 104575, 29295, 55999, 20230, 127032, 105459, 30512, 113797, 114330, 5486, 22023, 117943, 39926, 91774, 106154, 30369, 100909, 126636, 102769, 30813, 30512, 104836, 24273, 20230, 108044, 58942, 100934, 1811, 115143, 102052, 5486, 35417, 104378, 20230, 43240, 103826, 34171, 30512, 32977, 28713, 124949, 5486, 115364, 48864, 102802, 30512, 105994, 16556, 121507, 108608, 106222, 16144, 103350, 102321, 16144, 113009, 90962, 33710, 47307, 96452, 103906, 52884, 104378, 71289, 39880, 29220, 103906, 52884, 9458, 32131, 118928, 94550, 123160, 103572, 82317, 105352, 115619, 62004, 100934, 9174, 13177, 17792, 102052, 43568, 48249, 16144, 125396, 107407, 111329, 13177, 116537, 108064, 72661, 124500, 30369, 105908, 108608, 111329, 51330, 41920, 59739, 29295, 39880, 45923, 109554, 16144, 112690, 107809, 72661, 66378, 20230, 127879, 76947, 61689, 9174, 86127, 127282, 108064, 72661, 43568, 48249, 16144, 125396, 20230, 114099, 102669, 54926, 112442, 95221, 30512, 32977, 59739, 105908, 108608, 1811, 115364, 17792, 21990, 30512, 115364, 46034, 16556, 125174, 119619, 16995, 100481, 105784, 1811, 108064, 32977, 51330, 112690, 20230, 112442, 95221, 109669, 76622, 124195, 25580, 103130, 127145, 9174, 567, 105007, 120354, 116664, 45829, 10110, 32977, 32977, 72342, 18049, 228, 30297, 22957, 23954, 107420, 71493, 32131, 38248, 119, 32131, 70563, 71634, 120740, 103906, 113335, 68581, 11972, 198, 71493, 32131, 38248, 111, 114228, 57183, 102750, 120770, 198, 80805, 106826, 33710, 34208, 39880, 84477, 104736, 23187, 114341, 104599, 198, 9039, 109243, 120740, 71493, 32131, 107610, 44971, 108270, 16073, 102514, 198, 39880, 45923, 109554, 127298, 48864, 2818, 44, 37823, 117697, 11972, 198, 39135, 124905, 76947, 5486, 101523, 227, 48634, 109904, 105994, 108176, 41007, 126130, 108044, 58942, 127145, 9174, 71493, 32131, 38248, 119, 32131, 93298, 5486, 80805, 38248, 121, 115307, 71493, 109554, 5486, 80805, 106826, 33710, 34208, 39880, 84477, 9458, 9039, 109243, 71493, 109554, 30512, 100818, 116, 20230, 5486, 102159, 105390, 26854, 71493, 115691, 64810, 122835, 30512, 15682, 100204, 62004, 5486, 102208, 104091, 114341, 103605, 5486, 25197, 102832, 52414, 111363, 20834, 77413, 5486, 71493, 32131, 38248, 119, 32131, 70563, 71634, 9458, 80805, 106826, 33710, 34208, 39880, 84477, 76171, 71634, 119539, 102514, 16144, 101662, 13153, 104309, 117824, 76947, 61689, 9174, 64209, 20230, 108385, 31431, 114001, 16995, 5486, 48915, 91774, 9458, 32943, 28190, 55999, 20230, 105994, 33503, 106624, 119883, 50834, 37026, 22023, 114792, 76947, 25580, 103130, 54926, 24273, 30512, 106608, 110238, 127145, 9174, 39880, 45923, 109554, 127298, 48864, 19732, 20834, 38093, 16995, 5486, 105755, 105994, 30512, 120111, 115717, 37026, 22023, 114792, 59739, 105908, 103082, 5486, 45829, 101662, 38144, 29295, 105465, 106624, 26854, 31431, 79721, 9174, 105994, 100818, 116, 30512, 32977, 38144, 5486, 41642, 112586, 123927, 18904, 107001, 105908, 114485, 112586, 22957, 20230, 22957, 68759, 68759, 115717, 79721, 9174, 567, 109481, 102, 105243, 107322, 15973, 249, 10110, 16995, 78183, 105722, 97718, 104369, 104328, 85791, 23954, 103672, 93488, 103906, 39880, 108638, 33014, 13177, 70563, 61398, 103927, 103202, 68759, 68759, 60868, 105048, 33710, 10646, 106691, 198, 103005, 55228, 231, 102667, 30512, 124305, 101275, 74482, 5486, 964, 114435, 16144, 123141, 76739, 123581, 114676, 5486, 75910, 106528, 102923, 102332, 16144, 40452, 30046, 5486, 112599, 126783, 108695, 16144, 126783, 39880, 45923, 119732, 119534, 103306, 123532, 30926, 9174, 30590, 24186, 106496, 106894, 20230, 605, 8107, 104369, 112586, 114941, 31431, 119208, 80631, 95, 112500, 117824, 30297, 103854, 47884, 103672, 93488, 103906, 39880, 108638, 33014, 13177, 70563, 61398, 103927, 103202, 68759, 68759, 60868, 105048, 33710, 118587, 102332, 80195, 9174, 126783, 108695, 16144, 123357, 32938, 117083, 52591, 37823, 61398, 99695, 61398, 30512, 92693, 16556, 119208, 20230, 50338, 54322, 54926, 125175, 30512, 77413, 87447, 15024, 5486, 86436, 8107, 16, 8107, 56965, 16556, 8929, 103214, 16144, 68759, 68759, 105459, 20230, 107740, 16995, 90620, 50834, 5486, 1114, 103214, 16144, 25197, 102832, 16073, 102514, 19732, 4370, 25197, 102832, 52414, 30512, 103350, 102923, 9174, 112599, 15682, 107338, 107173, 47260, 32131, 103672, 21105, 103, 29295, 33503, 25197, 102832, 52414, 125523, 113497, 9174, 119208, 80631, 95, 112500, 16144, 113009, 5486, 126843, 15682, 119208, 16144, 68759, 68759, 105459, 29295, 24186, 95221, 117657, 106116, 113009, 25197, 102832, 16073, 102514, 16144, 102404, 19012, 246, 19732, 60868, 121057, 117824, 16995, 106116, 104983, 25197, 102832, 16073, 102514, 16144, 112442, 95221, 109669, 76622, 117824, 30297, 9174, 567, 18630, 230, 112, 76505, 103993, 33354, 224, 45829, 10110, 17663, 101860, 50834, 127334, 102717, 22957, 23954, 39880, 45923, 109554, 127298, 48864, 114341, 103605, 13177, 39, 946, 71302, 111329, 58850, 19732, 71208, 16144, 39880, 45923, 109554, 127298, 48864, 114341, 103605, 13177, 793, 946, 9311, 111329, 111482, 30512, 112442, 95221, 109669, 105784, 13177, 44597, 118821, 64209, 19732, 33014, 16144, 119883, 50834, 108710, 101557, 96, 114341, 103605, 111329, 104309, 118028, 76428, 115307, 114341, 103605, 30512, 36668, 113497, 9174, 25963, 60596, 97049, 16144, 23018, 45829, 19732, 122558, 127331, 124949, 198, 2589, 8107, 105755, 39880, 45923, 109554, 127298, 48864, 16144, 113173, 105242, 5486, 103359, 17792, 116690, 105242, 5486, 119046, 33014, 99750, 112854, 30512, 102832, 61398, 20230, 56051, 13177, 112442, 95221, 109669, 76622, 10646, 2818, 44, 20251, 44971, 109793, 11972, 113598, 13153, 114341, 103605, 30512, 122401, 9174, 111717, 102208, 30590, 16556, 76706, 109526, 235, 54926, 13177, 112442, 95221, 109669, 76622, 10646 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 104466, 123726, 38144, 105898, 105994, 5486, 37026, 22023, 16144, 26854, 30813, 30512, 106759, 16144, 72342, 119178, 107113, 105994, 20230, 95221, 109669, 47884, 9174, 23018, 45829, 105459, 102052, 5486, 105994, 16556, 113871, 30512, 64121, 59739, 107441, 123120, 108608, 119436, 117084, 102717, 102800, 114318, 104195, 47884, 114284, 5486, 126843, 15682, 105994, 29295, 113871, 30512, 109339, 105262, 17792, 21990, 30512, 37705, 30369, 106592, 104662, 37689, 9174, 108695, 30512, 56906, 107430, 15024, 110745, 53901, 112495, 112673, 102472, 16144, 53508, 231, 104195, 30512, 15682, 100204, 62004, 5486, 45829, 89046, 33121, 68759, 68759, 70141, 76622, 16144, 112673, 102472, 100927, 102452, 30512, 105335, 84477, 9174, 13177, 33354, 237, 71289, 107188, 68759, 68759, 108176, 118587, 109713, 64810, 57326, 20251, 20230, 5486, 20, 8107, 16556, 11711, 103214, 16144, 68759, 68759, 30512, 23706, 240, 17663, 9174, 679, 18, 8107, 105755, 112442, 95221, 109669, 76622, 114341, 103605, 32977, 111671, 66327, 45829, 101662, 38144, 16144, 109440, 16995, 29295, 105465, 21105, 123, 20230, 124500, 100472, 59712, 113799, 122173, 30369, 105908, 114485, 100472, 59712, 105465, 110276, 66383, 53901, 107624, 9174, 102803, 102514, 106613, 111186, 30512, 118544, 56051, 44620, 112442, 95221, 109669, 76622, 39850, 33710, 68759, 102472, 36761, 15682, 98499, 30046, 9039, 2636, 13372, 30512, 72404, 58942, 36896, 71289, 30813, 102800, 112690, 20230, 23706, 240, 107001, 59712, 33354, 237, 71289, 107188, 120208, 101983, 104028, 66383, 5486, 111717, 55031, 104940, 102802, 16144, 99750, 101067, 29295, 109948, 47884, 9174, 62903, 26269, 78525, 78459, 39880, 99959, 107446, 100927, 102452, 120268, 104575, 16144, 118006, 104378, 48864, 104297, 5486, 113261, 24615, 248, 104674, 16144, 123050, 30046, 38093, 102083, 100472, 114341, 102446, 103963, 117943, 32977, 43240, 9039, 9174, 679, 20, 116033, 124226, 71208, 30512, 20834, 106518, 1811, 30358, 27479, 16144, 61826, 36827, 34171, 64209, 116436, 111694, 115991, 5486, 105994, 30512, 113160, 109315, 107202, 21105, 243, 30512, 33014, 111186, 1811, 102099, 112442, 95221, 109669, 76622, 16144, 76739, 124643, 104603, 11972, 30512, 108631, 99750, 54926, 9174, 107202, 111108, 30512, 110498, 31431, 104087, 107800, 46091, 71208, 19732, 126419, 20230, 112442, 95221, 109669, 76622, 30512, 108044, 58942, 106956, 19732, 112391, 5486, 33563, 101662, 105335, 26269, 52591, 59739, 50834, 16556, 13177, 112442, 95221, 109669, 76622, 114341, 103605, 118587, 37823, 105335, 84477, 9174, 112442, 95221, 109669, 76622, 117158, 38093, 30297, 123628, 37026, 22023, 16144, 26854, 30813, 29295, 65299, 102741, 119775, 123334, 31431, 106956, 120266, 25580, 70141, 112495, 105994, 20230, 121602, 119188, 9174, 122013, 16144, 60868, 121057, 32977, 104195, 48634, 16556, 5486, 107202, 46034, 26854, 103350, 103760, 110792, 78183, 36785, 32149, 109709, 29295, 19732, 107441, 105898, 115789, 115515, 123470, 112415, 20230, 118544, 109768, 105898, 16995, 9174, 567, 106181, 116, 58911, 31938, 223, 58666, 10110, 115464, 71289, 17129, 113202, 47884, 64121, 23954, 112442, 95221, 109669, 76622, 103927, 103202, 90962, 38248, 105, 96452, 25197, 119534, 198, 76428, 52884, 107446, 62903, 108994, 25197, 52591, 220, 106691, 198, 119695, 116229, 198, 4468, 24, 8107, 21990, 104932, 108931, 16325, 102212, 24775, 19000, 101987, 220, 25963, 116581, 16144, 103760, 198, 102667, 124305, 101275, 74482, 5486, 122770, 101275, 98220, 20230, 81258, 107430, 54926, 29295, 5486, 100525, 232, 101310, 254, 19732, 115963, 20230, 56906, 107430, 9174, 106515, 72342, 26854, 118006, 30512, 113871, 91774, 28713, 123017, 64063, 16144, 56965, 5486, 45829, 101662, 38144, 29295, 27704, 17129, 76947, 55031, 91763, 30297, 104466, 114834, 30512, 64531, 105262, 105908, 103082, 123733, 31431, 5486, 25197, 102803, 32131, 68759, 68759, 20230, 9174, 25197, 102803, 32131, 30512, 99849, 110162, 56051, 16995, 15120, 64209, 16556, 102494, 101335, 30512, 15017, 101, 38144, 5486, 114834, 30512, 35818, 109669, 76622, 27704, 109315, 29295, 5486, 114834, 29295, 35818, 109669, 102334, 19732, 28713, 25827, 115515, 27479, 15682, 107471, 33503, 32149, 17663, 122013, 30512, 113160, 109315, 101200, 117084, 114732, 9174, 117032, 16144, 35818, 109669, 76622, 101335, 65299, 102040, 65299, 103378, 77181, 106515, 72342, 26854, 118006, 15682, 113638, 124324, 106592, 103350, 99750, 15024, 5486, 1049, 23, 8107, 55031, 39880, 45923, 109554, 127298, 48864, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 46034, 25333, 30512, 35818, 109669, 76622, 20230, 108167, 17701, 104028, 9174, 113702, 5486, 122013, 64121, 103171, 16144, 64209, 20230, 106644, 19732, 31431, 29295, 21990, 123606, 5486, 46729, 16144, 116414, 104088, 18904, 120837, 13177, 102395, 117503, 125641, 67016, 112391, 102204, 100604, 108975, 48634, 15024, 40862, 105262, 118006, 126694, 31431, 109415, 30369, 9174, 121410, 9080, 49838, 105791, 16556, 16995, 110071, 120208, 57980, 30813, 19732, 5486, 122013, 30512, 112442, 95221, 109669, 105784, 27384, 102769, 30813, 30512, 108044, 105262, 103846, 108948, 35818, 109669, 76622, 16144, 107420, 103306, 112415, 30512, 111671, 9174, 13177, 105994, 105352, 103082, 102131, 0, 59712, 105994, 30512, 124615, 39926, 122765, 109115, 0, 59712, 64209, 29295, 117355, 115737, 31431, 79721, 0, 10646, 19732, 35818, 109669, 76622, 20230, 101128, 102, 104004, 17792, 104680, 20230, 112442, 95221, 19732, 37026, 22023, 30512, 109948, 76622, 100934, 9174, 39880, 45923, 109554, 127298, 48864, 19732, 20834, 38093, 76947, 5486, 125641, 29295, 47260, 42634, 47260, 42634, 19732, 114652, 91875, 47884, 105994, 114475, 76622, 125639, 110071, 101200, 115717, 79721, 106609, 102099, 112442, 95221, 109669, 76622, 113468, 105994, 116907, 29295, 15120, 87217, 16144, 103868, 24273, 16556, 16995, 124195, 5486, 120987, 16144, 125396, 20230, 36117, 95, 115032, 110229, 29295, 27384, 120111, 38641, 106609, 567, 61696, 239, 101129, 30591, 106644, 64121, 10110, 104004, 33503, 28713, 113170, 106644, 64121, 23954, 2059, 6577, 47373, 106691, 198, 104378, 107420, 89154, 38248, 114, 11972, 10110, 48864, 102802, 16144, 29172, 81742, 46729, 23954, 45280, 3204, 104736, 23187, 104650, 48864, 39880, 45923, 119732, 119534, 198, 39880, 45923, 109554, 127298, 48864, 124606, 124597, 126835, 37823, 117697, 11972, 114341, 104599, 198, 39880, 45923, 109554, 127298, 48864, 117669, 1569, 101, 124417, 1569, 106, 124606, 37823, 117697, 11972, 114341, 104599, 198, 13177, 78698, 105262, 48634, 18028, 102404, 22023, 48634, 121409, 55999, 99750, 48634, 118587, 110137, 81219, 17663, 39880, 45923, 109554, 89753, 112442, 95221, 109669, 76622, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 48154, 29172, 81742, 15024, 5486, 127032, 105459, 29295, 37026, 22023, 30512, 32977, 76947, 105994, 16556, 115364, 17792, 21990, 30512, 125174, 87447, 47884, 123457, 101662, 125655, 41007, 30512, 108044, 105262, 118347, 105988, 124766, 9174, 112442, 95221, 109669, 76622, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 102832, 61398, 20230, 5486, 972, 8107, 56965, 117734, 100927, 102351, 103306, 91774, 38144, 105898, 117734, 21990, 16144, 110783, 30512, 108044, 105262, 118733, 13177, 30832, 101911, 30512, 122765, 28713, 45829, 101662, 38144, 10646, 29295, 106084, 30369, 39880, 107420, 113335, 30512, 123050, 30046, 20230, 108285, 62004, 100934, 9174, 20713, 66115, 8107, 56965, 5486, 101365, 106618, 101701, 72099, 5486, 35722, 120, 106157, 72099, 16144, 86127, 80195, 16325, 45736, 16556, 29504, 102158, 70626, 100927, 101790, 255, 103306, 114731, 102781, 9174, 100927, 70626, 64467, 106839, 16144, 43511, 115132, 114740, 5486, 112673, 118517, 26269, 80805, 115132, 125581, 5486, 90962, 64810, 39880, 114676, 113245, 125559, 101772, 23951, 73686, 96455, 5486, 127123, 113954, 104378, 5486, 104650, 106718, 64467, 106839, 117824, 26854, 30297, 1811, 125559, 16144, 104378, 5486, 100927, 102351, 16144, 110783, 110095, 16144, 121953, 30512, 48864, 102802, 123085, 112028, 7741, 231, 48864, 108710, 105335, 106696, 20230, 107750, 99397, 30512, 108623, 102334, 105908, 2059, 6577, 47373, 30512, 118013, 109415, 28713, 53229, 28542, 117282, 9174, 100927, 102351, 113146, 15682, 127032, 126027, 43240, 103826, 34171, 30512, 102404, 127327, 108608, 104466, 48864, 102802, 40862, 114774, 21990, 107263, 36668, 33014, 16144, 107141, 101275, 105335, 106696, 30512, 106391, 113638, 15024, 5486, 105994, 20230, 37026, 22023, 30512, 32977, 76947, 102404, 22023, 108608, 123457, 101662, 25827, 103082, 28713, 9174, 53900, 5486, 20713, 66115, 8107, 56965, 107809, 16556, 117734, 21990, 16144, 110783, 110095, 71289, 68759, 76171, 45923, 16144, 104721, 33208, 30512, 118322, 40265, 28713, 112586, 15024, 118006, 104378, 126636, 102769, 30813, 30512, 103350, 99750, 15024, 5486, 48864, 102802, 16144, 117501, 30512, 100927, 102452, 19732, 118006, 16144, 110176, 24273, 16556, 64531, 58942, 100481, 47884, 106592, 102404, 22023, 15024, 106307, 107674, 9174, 108895, 56051, 106613, 111186, 55031, 5486, 127032, 105459, 29295, 123726, 123726, 19732, 119883, 102532, 48864, 104369, 103846, 102052, 123050, 30046, 19732, 104575, 29295, 55999, 20230, 127032, 105459, 30512, 113797, 114330, 5486, 22023, 117943, 39926, 91774, 106154, 30369, 100909, 126636, 102769, 30813, 30512, 104836, 24273, 20230, 108044, 58942, 100934, 1811, 115143, 102052, 5486, 35417, 104378, 20230, 43240, 103826, 34171, 30512, 32977, 28713, 124949, 5486, 115364, 48864, 102802, 30512, 105994, 16556, 121507, 108608, 106222, 16144, 103350, 102321, 16144, 113009, 90962, 33710, 47307, 96452, 103906, 52884, 104378, 71289, 39880, 29220, 103906, 52884, 9458, 32131, 118928, 94550, 123160, 103572, 82317, 105352, 115619, 62004, 100934, 9174, 13177, 17792, 102052, 43568, 48249, 16144, 125396, 107407, 111329, 13177, 116537, 108064, 72661, 124500, 30369, 105908, 108608, 111329, 51330, 41920, 59739, 29295, 39880, 45923, 109554, 16144, 112690, 107809, 72661, 66378, 20230, 127879, 76947, 61689, 9174, 86127, 127282, 108064, 72661, 43568, 48249, 16144, 125396, 20230, 114099, 102669, 54926, 112442, 95221, 30512, 32977, 59739, 105908, 108608, 1811, 115364, 17792, 21990, 30512, 115364, 46034, 16556, 125174, 119619, 16995, 100481, 105784, 1811, 108064, 32977, 51330, 112690, 20230, 112442, 95221, 109669, 76622, 124195, 25580, 103130, 127145, 9174, 567, 105007, 120354, 116664, 45829, 10110, 32977, 32977, 72342, 18049, 228, 30297, 22957, 23954, 107420, 71493, 32131, 38248, 119, 32131, 70563, 71634, 120740, 103906, 113335, 68581, 11972, 198, 71493, 32131, 38248, 111, 114228, 57183, 102750, 120770, 198, 80805, 106826, 33710, 34208, 39880, 84477, 104736, 23187, 114341, 104599, 198, 9039, 109243, 120740, 71493, 32131, 107610, 44971, 108270, 16073, 102514, 198, 39880, 45923, 109554, 127298, 48864, 2818, 44, 37823, 117697, 11972, 198, 39135, 124905, 76947, 5486, 101523, 227, 48634, 109904, 105994, 108176, 41007, 126130, 108044, 58942, 127145, 9174, 71493, 32131, 38248, 119, 32131, 93298, 5486, 80805, 38248, 121, 115307, 71493, 109554, 5486, 80805, 106826, 33710, 34208, 39880, 84477, 9458, 9039, 109243, 71493, 109554, 30512, 100818, 116, 20230, 5486, 102159, 105390, 26854, 71493, 115691, 64810, 122835, 30512, 15682, 100204, 62004, 5486, 102208, 104091, 114341, 103605, 5486, 25197, 102832, 52414, 111363, 20834, 77413, 5486, 71493, 32131, 38248, 119, 32131, 70563, 71634, 9458, 80805, 106826, 33710, 34208, 39880, 84477, 76171, 71634, 119539, 102514, 16144, 101662, 13153, 104309, 117824, 76947, 61689, 9174, 64209, 20230, 108385, 31431, 114001, 16995, 5486, 48915, 91774, 9458, 32943, 28190, 55999, 20230, 105994, 33503, 106624, 119883, 50834, 37026, 22023, 114792, 76947, 25580, 103130, 54926, 24273, 30512, 106608, 110238, 127145, 9174, 39880, 45923, 109554, 127298, 48864, 19732, 20834, 38093, 16995, 5486, 105755, 105994, 30512, 120111, 115717, 37026, 22023, 114792, 59739, 105908, 103082, 5486, 45829, 101662, 38144, 29295, 105465, 106624, 26854, 31431, 79721, 9174, 105994, 100818, 116, 30512, 32977, 38144, 5486, 41642, 112586, 123927, 18904, 107001, 105908, 114485, 112586, 22957, 20230, 22957, 68759, 68759, 115717, 79721, 9174, 567, 109481, 102, 105243, 107322, 15973, 249, 10110, 16995, 78183, 105722, 97718, 104369, 104328, 85791, 23954, 103672, 93488, 103906, 39880, 108638, 33014, 13177, 70563, 61398, 103927, 103202, 68759, 68759, 60868, 105048, 33710, 10646, 106691, 198, 103005, 55228, 231, 102667, 30512, 124305, 101275, 74482, 5486, 964, 114435, 16144, 123141, 76739, 123581, 114676, 5486, 75910, 106528, 102923, 102332, 16144, 40452, 30046, 5486, 112599, 126783, 108695, 16144, 126783, 39880, 45923, 119732, 119534, 103306, 123532, 30926, 9174, 30590, 24186, 106496, 106894, 20230, 605, 8107, 104369, 112586, 114941, 31431, 119208, 80631, 95, 112500, 117824, 30297, 103854, 47884, 103672, 93488, 103906, 39880, 108638, 33014, 13177, 70563, 61398, 103927, 103202, 68759, 68759, 60868, 105048, 33710, 118587, 102332, 80195, 9174, 126783, 108695, 16144, 123357, 32938, 117083, 52591, 37823, 61398, 99695, 61398, 30512, 92693, 16556, 119208, 20230, 50338, 54322, 54926, 125175, 30512, 77413, 87447, 15024, 5486, 86436, 8107, 16, 8107, 56965, 16556, 8929, 103214, 16144, 68759, 68759, 105459, 20230, 107740, 16995, 90620, 50834, 5486, 1114, 103214, 16144, 25197, 102832, 16073, 102514, 19732, 4370, 25197, 102832, 52414, 30512, 103350, 102923, 9174, 112599, 15682, 107338, 107173, 47260, 32131, 103672, 21105, 103, 29295, 33503, 25197, 102832, 52414, 125523, 113497, 9174, 119208, 80631, 95, 112500, 16144, 113009, 5486, 126843, 15682, 119208, 16144, 68759, 68759, 105459, 29295, 24186, 95221, 117657, 106116, 113009, 25197, 102832, 16073, 102514, 16144, 102404, 19012, 246, 19732, 60868, 121057, 117824, 16995, 106116, 104983, 25197, 102832, 16073, 102514, 16144, 112442, 95221, 109669, 76622, 117824, 30297, 9174, 567, 18630, 230, 112, 76505, 103993, 33354, 224, 45829, 10110, 17663, 101860, 50834, 127334, 102717, 22957, 23954, 39880, 45923, 109554, 127298, 48864, 114341, 103605, 13177, 39, 946, 71302, 111329, 58850, 19732, 71208, 16144, 39880, 45923, 109554, 127298, 48864, 114341, 103605, 13177, 793, 946, 9311, 111329, 111482, 30512, 112442, 95221, 109669, 105784, 13177, 44597, 118821, 64209, 19732, 33014, 16144, 119883, 50834, 108710, 101557, 96, 114341, 103605, 111329, 104309, 118028, 76428, 115307, 114341, 103605, 30512, 36668, 113497, 9174, 25963, 60596, 97049, 16144, 23018, 45829, 19732, 122558, 127331, 124949, 198, 2589, 8107, 105755, 39880, 45923, 109554, 127298, 48864, 16144, 113173, 105242, 5486, 103359, 17792, 116690, 105242, 5486, 119046, 33014, 99750, 112854, 30512, 102832, 61398, 20230, 56051, 13177, 112442, 95221, 109669, 76622, 10646, 2818, 44, 20251, 44971, 109793, 11972, 113598, 13153, 114341, 103605, 30512, 122401, 9174, 111717, 102208, 30590, 16556, 76706, 109526, 235, 54926, 13177, 112442, 95221, 109669, 76622, 10646 ]
[ 64467, 106839, 30046, 15682, 1041, 15, 13372, 20230, 82317, 104369, 1811, 39880, 45923, 109554, 105647, 16144, 66378, 17599, 112, 103195, 103359, 87177, 111848, 71493, 115691, 64810, 122835, 30512, 50928, 37689, 117408, 1811, 111943, 103926, 5486, 126326, 5486, 45829, 101662, 38144, 5486, 107430, 75267, 104309, 103359, 17792, 116690, 16144, 101128, 102, 64121, 114792, 59739, 50021, 111813, 30046, 30512, 13177, 112442, 95221, 109669, 76622, 10646, 118789, 109904, 76537, 43514, 112909, 106391, 113638, 39926, 106644, 47884, 46034, 117395, 29295, 109189, 110731, 1811, 1987, 97049, 16144, 39177, 5486, 25963, 116358, 75910, 106528, 16144, 106968, 20230, 1272, 97049, 16144, 101908, 30512, 52030, 18655, 30369, 9174, 122617, 16144, 106084, 30926, 15682, 59614, 61994, 116787, 104087, 58942, 102204, 100604, 110482, 111108, 120937, 19732, 22023, 100204, 17792, 30512, 112442, 95221, 109669, 105784, 106592, 33655, 51609, 117408, 1811, 112599, 15682, 5486, 103350, 103760, 110792, 116690, 23226, 106594, 19732, 75910, 106528, 106613, 111186, 30512, 76706, 123772, 122603, 106036, 95, 16144, 106759, 110792, 116690, 30512, 112442, 95221, 109669, 105784, 39880, 45923, 109554, 127298, 48864, 114341, 103605, 13177, 39, 946, 71302, 10646, 5486, 58850, 19732, 71208, 16144, 39880, 45923, 109554, 127298, 48864, 114341, 103605, 13177, 793, 946, 9311, 10646, 5486, 111482, 30512, 112442, 95221, 109669, 105784, 13177, 44597, 118821, 64209, 19732, 33014, 16144, 119883, 50834, 108710, 101557, 96, 114341, 103605, 10646, 104309, 118028, 76428, 115307, 114341, 103605, 30512, 36668, 113497, 9174, 103188, 86436, 16144, 114341, 102446, 104932, 108931, 103354, 24775, 104378, 114373, 38093, 103354, 24775, 104654, 104575, 89046, 117139, 108975, 104760, 38093, 5486, 103354, 24775, 80195, 17039, 106554, 116581, 109421, 104517, 5486, 103354, 24775, 107734, 32938, 5486, 110776, 64209, 114083, 102667, 5486, 10110, 61337, 7705, 102433, 106613, 111587, 108638, 33014, 89046, 40862, 38093, 5486, 101701, 40526, 23530, 52030, 106528, 108975, 38093, 5486, 121450, 98499, 105525, 108285, 58655, 61337, 5486, 121450, 35, 17, 34, 5486, 103354, 24775, 80195, 109657, 115641, 16325, 104575, 104309, 198, 28713, 19732, 58942, 67645, 103171, 20230, 103188, 100845, 115, 26854, 105908, 13177, 37271, 10646, 125119, 106358, 103306, 32977, 108048, 30512, 104405, 15017, 231, 105262, 32149, 15682, 86127, 126027, 13177, 111764, 10646, 38641, 1811, 28713, 19732, 116285, 117119, 116421, 72342, 16995, 116446, 5486, 124233, 16995, 120550, 105994, 108176, 115789, 125545, 9174, 72661, 110371, 96356, 20230, 125119, 30369, 106084, 30926, 15682, 5486, 105994, 20230, 70563, 26269, 47307, 37823, 16144, 111681, 104482, 32149, 121061, 1811, 102131, 91763, 100472, 110018, 115408, 16144, 102616, 15682, 104721, 116547, 79721, 1811, 86127, 127282, 111681, 104482, 30512, 50338, 104662, 54926, 123457, 17663, 16556, 20230, 69978, 76947, 61689, 1811, 113727, 100934, 126036, 115364, 123457, 22023, 100204, 38144, 123120, 54926, 24273, 29295, 5486, 103350, 116497, 104043, 112825, 110904, 38641, 1811, 21043, 66776, 126419, 20230, 48864, 102802, 17129, 109954, 6447, 128001, 128000, 567, 108477, 108, 72661, 112825, 110904, 20230, 108608, 6447, 1929, 32, 71005, 109519, 16144, 8239, 114503, 30512, 45736, 109315, 116696, 48552, 120098, 198, 14711, 75966, 232, 104680, 108285, 29295, 30369, 1929, 32, 71005, 109519, 16144, 46034, 38574, 198, 24186, 104680, 15682, 5486, 116213, 105811, 71289, 113487, 76622, 105811, 104309, 16995, 78183, 106644, 30369, 123737, 20230, 118430, 102404, 54926, 111571, 103397, 103306, 15017, 231, 58942, 102204, 100481, 79721, 29295, 106116, 123470, 103242, 109519, 112113, 16144, 103130, 105564, 71289, 102473, 16144, 113096, 103130, 104309, 30512, 33035, 100204, 103242, 109519, 101513, 97518, 113245, 71005, 109519, 29295, 88367, 119012, 116436, 111694, 103306, 104736, 62004, 109115, 112973, 5486, 123737, 25287, 110645, 105811, 111571, 7, 1929, 32, 8, 38641, 9174, 103242, 109519, 101513, 97518, 30512, 33035, 100204, 28713, 71005, 109519, 29295, 104736, 62004, 110071, 116436, 111694, 103306, 104736, 23187, 103646, 106592, 101682, 76622, 5486, 112599, 77181, 111717, 102208, 30590, 16144, 32943, 70626, 71289, 105871, 104735, 248, 70626, 5486, 58666, 37729, 105871, 104735, 248, 70626, 123160, 120761, 109519, 70626, 30512, 33035, 100204, 38144, 1929, 32, 71005, 109519, 114475, 105784, 105908, 108608, 101200, 110276, 102717, 32149, 5486, 118899, 77181, 1929, 32, 114363, 103722, 16144, 120761, 109519, 48915, 37507, 29295, 17039, 28713, 20230, 102332, 76622, 110071, 104309, 5486, 102321, 31640, 16144, 103429, 16144, 16, 59739, 103306, 110577, 20230, 23187, 100815, 127145, 9174, 53900, 5486, 1929, 32, 102677, 111571, 103397, 30512, 23226, 106594, 15024, 103911, 103181, 54926, 46034, 38574, 103306, 5486, 108895, 56051, 120761, 109519, 70626, 30512, 33035, 100204, 28713, 71005, 109519, 103359, 105226, 121142, 103470, 5486, 64810, 33710, 96841, 109, 39880, 112028, 108476, 103306, 103350, 124299, 108608, 101662, 105811, 21403, 97, 71289, 102404, 105811, 21403, 97, 102083, 100472, 105107, 25446, 16144, 76706, 11883, 32977, 23039, 105262, 101200, 115717, 5486, 28713, 19732, 58942, 114363, 103722, 103242, 30512, 120007, 116446, 32977, 43511, 17792, 20230, 50021, 111813, 54926, 112973, 104405, 120837, 107202, 108631, 103195, 102677, 24273, 105352, 5486, 46034, 117355, 20230, 1929, 32, 103359, 105226, 29295, 23039, 105262, 101200, 115717, 79721, 9174, 90620, 15024, 5486, 1929, 32, 111363, 103359, 105226, 71289, 71005, 109519, 30512, 107167, 122842, 104309, 16556, 103350, 104983, 20230, 101682, 107674, 107803, 32977, 5486, 71005, 109519, 111848, 23226, 106594, 8239, 114503, 30512, 34226, 20230, 103350, 99750, 54926, 103846, 102052, 5486, 64810, 33710, 96841, 109, 39880, 30512, 33035, 100204, 28713, 48154, 116907, 16144, 121837, 30512, 103350, 124299, 54926, 30926, 29295, 32018, 62004, 102204, 33541, 1811, 107803, 113468, 15682, 5486, 64810, 33710, 96841, 109, 39880, 16144, 44915, 103458, 104680, 113468, 107167, 122842, 113245, 71005, 109519, 71289, 103359, 105226, 8239, 114503, 30512, 34226, 20230, 45736, 109315, 105908, 106084, 30369, 15120, 24273, 5486, 64810, 33710, 96841, 109, 39880, 30512, 17486, 254, 76947, 114732, 19732, 5486, 72342, 42891, 32149, 119064, 8239, 114503, 29295, 103167, 17297, 39926, 114732, 109755, 33121, 32977, 57903, 33541, 9174, 77181, 5486, 67645, 120950, 64810, 33710, 96841, 109, 39880, 30512, 9080, 40053, 104654, 107809, 16556, 23039, 30297, 118733, 5486, 107167, 122842, 16556, 101682, 107674, 71005, 109519, 8239, 114503, 30512, 34226, 20230, 45736, 109315, 105908, 108608, 105879, 109954, 32149, 95532, 77693, 33503, 109853, 116696, 48552, 120098, 30512, 102332, 107441, 114140, 109768, 50834, 17129, 109954, 9174, 14711, 103879, 119, 109519, 8239, 114503, 30512, 34226, 20230, 45736, 109315, 116696, 48552, 120098, 198, 827, 125389, 104654, 16144, 23226, 106594, 198, 64810, 33710, 96841, 109, 39880, 16556, 103350, 124299, 108608, 32335, 32977, 108729, 109904, 46034, 38574, 106272, 32977, 108048, 30512, 103350, 124299, 54926, 32149, 104405, 32149, 16556, 1929, 32, 103359, 105226, 16144, 113702, 30512, 119448, 47884, 118396, 54926, 31634, 72238, 117282, 112973, 5486, 102456, 104654, 38641, 9174, 27452, 116285, 5486, 107167, 122842, 30512, 33035, 100204, 114363, 103722, 103242, 111848, 8239, 114503, 109904, 71005, 109519, 114475, 107674, 105352, 32149, 124233, 121140, 5486, 9080, 40053, 104654, 107809, 16556, 99046, 224, 18655, 54926, 102456, 30926, 29295, 39880, 113155, 119930, 26854, 102944, 118816, 5486, 72342, 42891, 32149, 119064, 71005, 109519, 8239, 114503, 29295, 33014, 99750, 118765, 67645, 107404, 32149, 5486, 109161, 16995, 102456, 104654, 113468, 111571, 103397, 29295, 109161, 33208, 39926, 114732, 109755, 33121, 115991, 33541, 9174, 85701, 15682, 5486, 1929, 32, 16144, 102404, 111571, 113385, 16144, 16, 59739, 103306, 121496, 105284, 16144, 99046, 224, 31431, 120195, 71289, 102404, 105811, 20230, 109215, 26854, 15308, 226, 113598, 72238, 16144, 124490, 30624, 104309, 107407, 103846, 16556, 5486, 105298, 37087, 26854, 102456, 104654, 30512, 103350, 124299, 21105, 103, 102518, 107803, 115847, 120577, 113385, 20230, 109638, 40265, 39926, 103801, 16995, 1929, 32, 30512, 103911, 103181, 54926, 67645, 107404, 32149, 116900, 20230, 100845, 115, 115737, 76947, 114732, 125396, 32977, 57903, 33541, 9174, 66378, 20230, 5486, 102456, 53953, 103721, 232, 109205, 71289, 91482, 47307, 101198, 16073, 33, 104770, 104309, 102404, 105811, 19732, 101662, 105811, 20230, 109215, 26854, 15308, 226, 113598, 72238, 15682, 5486, 105811, 103760, 104398, 112506, 16144, 76706, 34171, 33208, 71289, 108602, 72238, 16144, 84844, 110698, 20230, 109947, 124490, 26854, 104473, 89753, 30512, 105298, 37087, 26854, 121894, 20230, 109205, 69978, 54926, 113009, 124490, 32149, 72342, 100604, 31634, 72238, 117282, 105879, 5486, 1929, 32, 71005, 109519, 114475, 107674, 126513, 5486, 105360, 23039, 39926, 102456, 104654, 16144, 23226, 106594, 20230, 115619, 62004, 17129, 109954, 9174, 827, 108837, 98, 37087, 26854, 103892, 105871, 117501, 16144, 109205, 69978, 198, 1929, 32, 71005, 109519, 30512, 114363, 103722, 103242, 104309, 55031, 109467, 101682, 107674, 107803, 5486, 59614, 101860, 64810, 33710, 96841, 109, 39880, 112028, 108476, 103306, 64467, 112419, 107001, 31634, 72238, 16144, 16, 59739, 29295, 5486, 103892, 105871, 117501, 30512, 105298, 37087, 26854, 121894, 20230, 33563, 59739, 102677, 28542, 38641, 9174, 48154, 25359, 53283, 119775, 5486, 105811, 122615, 29295, 21990, 105262, 103892, 105871, 102677, 121606, 15682, 5486, 111006, 107809, 72661, 66378, 20230, 105871, 121496, 19732, 123529, 16144, 17620, 14888, 234, 33857, 29295, 127181, 34048, 25129, 16144, 16, 59739, 38641, 1811, 33014, 32943, 16556, 110577, 20230, 113473, 119012, 121496, 105284, 71289, 92877, 25766, 225, 53953, 30512, 105871, 121496, 71289, 123529, 16144, 83799, 16556, 61056, 20834, 54926, 118733, 113614, 26854, 111006, 30512, 109205, 69978, 54926, 101399, 5486, 40053, 20230, 103892, 105871, 30512, 104356, 114267, 105811, 123222, 126328, 108895, 56051, 61056, 20834, 34048, 29295, 61056, 20834, 116216, 61689, 9174, 105871, 121496, 71289, 123529, 123160, 92877, 25766, 225, 53953, 15682, 106116, 110674, 54322, 76947, 33334, 126145, 108602, 72238, 19732, 102971, 40862, 39926, 108602, 33208, 53953, 105284, 121711, 105871, 104735, 248, 71289, 105811, 123222, 123274, 16144, 105811, 111528, 103892, 71289, 105811, 103760, 104398, 112506, 20230, 109161, 117375, 30512, 82317, 109416, 17663, 109755, 33121, 107407, 103846, 5486, 1929, 32, 30512, 23226, 106594, 54926, 17905, 16556, 59614, 101860, 61633, 29295, 109215, 38641, 9174, 92877, 25766, 225, 53953, 30512, 108167, 30813, 30369, 41007, 103306, 17701, 118959, 125344, 108914, 122615, 29295, 108936, 9554, 119627, 110371, 39177, 5486, 90620, 13357, 229, 116169, 20230, 108914, 21403, 97, 124905, 76947, 108914, 30297, 16144, 126194, 5486, 105811, 123222, 123274, 16144, 21980, 248, 33121, 30512, 110408, 15024, 121406, 104466, 37689, 109375, 21105, 103, 29295, 33503, 32977, 64121, 108914, 16995, 54926, 112973, 57942, 251, 64209, 118855, 5486, 105988, 108969, 11972, 21403, 97, 37026, 33014, 29295, 108618, 76947, 114732, 19732, 85701, 29295, 92877, 25766, 225, 53953, 117282, 105879, 5486, 108914, 122615, 74482, 15682, 37689, 109375, 21105, 97, 59739, 108914, 16995, 89753, 103801, 109954, 9174, 827, 126292, 47260, 64178, 19732, 83601, 104, 124623, 30512, 111098, 105784, 198, 115320, 103882, 71289, 83601, 104, 124623, 32977, 53900, 5486, 1929, 32, 71005, 109519, 16144, 8239, 114503, 30512, 100525, 101, 102639, 30369, 27384, 112495, 31634, 63212, 16144, 16, 59739, 38641, 1811, 115320, 103882, 113468, 33014, 32943, 109156, 100472, 107908, 47260, 64178, 15682, 5486, 57942, 251, 26274, 241, 16556, 17620, 50338, 54926, 104983, 20230, 43240, 33857, 16144, 91482, 47307, 101198, 16073, 30512, 33420, 106382, 78434, 1811, 122615, 16144, 101662, 13153, 20230, 109215, 26854, 91482, 47307, 101198, 16073, 30512, 32977, 38129, 39926, 114732, 103846, 5486, 101662, 105811, 30512, 114632, 104698, 54926, 31634, 72238, 121711, 33541, 9174, 53900, 5486, 83601, 104, 124623, 113468, 33014, 32943, 109156, 100472, 78683, 47260, 78459, 16073, 15682, 5486, 104473, 36651, 30512, 110226, 123332, 124545, 8239, 114503, 30512, 32977, 127567, 17663, 103846, 5486, 43240, 33857, 16144, 108602, 72238, 30512, 109215, 117408, 105811, 103760, 104398, 112506, 111363, 108602, 72238, 16144, 84844, 110698, 30512, 114632, 104698, 54926, 109755, 33121, 115991, 33541, 1811, 108895, 56051, 109161, 117375, 30512, 111098, 105784, 101399, 105352, 5486, 1929, 32, 71005, 109519, 16325, 16144, 115320, 103882, 71289, 83601, 104, 124623, 15682, 108608, 103378, 111098, 105784, 112973, 102832, 71634, 38641, 9174, 51330, 47260, 32131, 91062, 29295, 127879, 100472, 33503, 198, 112371, 104328, 13177, 104712, 101832, 76864, 126130, 124730, 78434, 40620, 198, 64121, 103171, 20230, 107734, 80195, 59739, 108134, 126130, 109948, 76622, 78434, 1811, 128001, 128000, 2, 107301, 20251, 103830, 102472, 16073, 36761, 106307, 104817, 127359, 25005, 112, 78349, 37823, 48552, 29295, 103188, 86436, 19732, 70141, 50834, 40862, 30297, 53953, 102158, 20230, 119258, 75966, 96, 106978, 13177, 103031, 15682, 50338, 104662, 21105, 103, 118145, 16995, 76622, 107515, 111329, 39880, 122131, 9458, 115332, 5486, 20251, 91062, 9458, 29220, 33710, 106240, 104198, 116358, 13372, 19967, 44620, 20251, 103830, 102472, 16073, 121359, 3753, 21, 120732, 106307, 104817, 117282, 198, 44620, 20251, 103830, 102472, 16073, 106982, 25005, 112, 78349, 37823, 48552, 36761, 77181, 5486, 122768, 35417, 68759, 25005, 112, 78349, 37823, 48552, 29295, 13177, 103188, 86436, 19732, 70141, 50834, 40862, 30297, 10646, 110783, 29295, 110240, 32149, 104028, 102677, 1811, 102321, 107734, 30512, 73686, 56906, 15024, 5486, 33671, 101083, 31640, 80805, 25197, 42634, 67075, 30512, 101662, 13153, 54926, 100927, 102078, 103306, 120955, 54926, 68759, 25005, 112, 78349, 37823, 48552, 15682, 108048, 103296, 20230, 67645, 120950, 103188, 86436, 30512, 105564, 64121, 124563, 112371, 70141, 50834, 40862, 30297, 109215, 107407, 120900, 32149, 95532, 1958, 8107, 104087, 119432, 106307, 104817, 19732, 103378, 57903, 127359, 25005, 112, 78349, 37823, 48552, 16144, 106613, 28713, 104721, 33208, 29295, 95221, 101983, 104533, 107404, 109846, 5486, 123113, 30512, 102781, 109315, 113909, 64810, 52591, 9458, 47260, 57207, 107446, 118639, 103732, 104984, 13177, 198, 43240, 119064, 28542, 16556, 112073, 121944, 112854, 58942, 100934, 105933, 71208, 16144, 110674, 10646, 36785, 102677, 66327, 103031, 15682, 71493, 110590, 16556, 117633, 100472, 11881, 242, 16144, 103926, 101918, 45, 42520, 10110, 119732, 29220, 7705, 30512, 102472, 44971, 78767 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64467, 106839, 30046, 15682, 1041, 15, 13372, 20230, 82317, 104369, 1811, 39880, 45923, 109554, 105647, 16144, 66378, 17599, 112, 103195, 103359, 87177, 111848, 71493, 115691, 64810, 122835, 30512, 50928, 37689, 117408, 1811, 111943, 103926, 5486, 126326, 5486, 45829, 101662, 38144, 5486, 107430, 75267, 104309, 103359, 17792, 116690, 16144, 101128, 102, 64121, 114792, 59739, 50021, 111813, 30046, 30512, 13177, 112442, 95221, 109669, 76622, 10646, 118789, 109904, 76537, 43514, 112909, 106391, 113638, 39926, 106644, 47884, 46034, 117395, 29295, 109189, 110731, 1811, 1987, 97049, 16144, 39177, 5486, 25963, 116358, 75910, 106528, 16144, 106968, 20230, 1272, 97049, 16144, 101908, 30512, 52030, 18655, 30369, 9174, 122617, 16144, 106084, 30926, 15682, 59614, 61994, 116787, 104087, 58942, 102204, 100604, 110482, 111108, 120937, 19732, 22023, 100204, 17792, 30512, 112442, 95221, 109669, 105784, 106592, 33655, 51609, 117408, 1811, 112599, 15682, 5486, 103350, 103760, 110792, 116690, 23226, 106594, 19732, 75910, 106528, 106613, 111186, 30512, 76706, 123772, 122603, 106036, 95, 16144, 106759, 110792, 116690, 30512, 112442, 95221, 109669, 105784, 39880, 45923, 109554, 127298, 48864, 114341, 103605, 13177, 39, 946, 71302, 10646, 5486, 58850, 19732, 71208, 16144, 39880, 45923, 109554, 127298, 48864, 114341, 103605, 13177, 793, 946, 9311, 10646, 5486, 111482, 30512, 112442, 95221, 109669, 105784, 13177, 44597, 118821, 64209, 19732, 33014, 16144, 119883, 50834, 108710, 101557, 96, 114341, 103605, 10646, 104309, 118028, 76428, 115307, 114341, 103605, 30512, 36668, 113497, 9174, 103188, 86436, 16144, 114341, 102446, 104932, 108931, 103354, 24775, 104378, 114373, 38093, 103354, 24775, 104654, 104575, 89046, 117139, 108975, 104760, 38093, 5486, 103354, 24775, 80195, 17039, 106554, 116581, 109421, 104517, 5486, 103354, 24775, 107734, 32938, 5486, 110776, 64209, 114083, 102667, 5486, 10110, 61337, 7705, 102433, 106613, 111587, 108638, 33014, 89046, 40862, 38093, 5486, 101701, 40526, 23530, 52030, 106528, 108975, 38093, 5486, 121450, 98499, 105525, 108285, 58655, 61337, 5486, 121450, 35, 17, 34, 5486, 103354, 24775, 80195, 109657, 115641, 16325, 104575, 104309, 198, 28713, 19732, 58942, 67645, 103171, 20230, 103188, 100845, 115, 26854, 105908, 13177, 37271, 10646, 125119, 106358, 103306, 32977, 108048, 30512, 104405, 15017, 231, 105262, 32149, 15682, 86127, 126027, 13177, 111764, 10646, 38641, 1811, 28713, 19732, 116285, 117119, 116421, 72342, 16995, 116446, 5486, 124233, 16995, 120550, 105994, 108176, 115789, 125545, 9174, 72661, 110371, 96356, 20230, 125119, 30369, 106084, 30926, 15682, 5486, 105994, 20230, 70563, 26269, 47307, 37823, 16144, 111681, 104482, 32149, 121061, 1811, 102131, 91763, 100472, 110018, 115408, 16144, 102616, 15682, 104721, 116547, 79721, 1811, 86127, 127282, 111681, 104482, 30512, 50338, 104662, 54926, 123457, 17663, 16556, 20230, 69978, 76947, 61689, 1811, 113727, 100934, 126036, 115364, 123457, 22023, 100204, 38144, 123120, 54926, 24273, 29295, 5486, 103350, 116497, 104043, 112825, 110904, 38641, 1811, 21043, 66776, 126419, 20230, 48864, 102802, 17129, 109954, 6447, 128001, 128000, 567, 108477, 108, 72661, 112825, 110904, 20230, 108608, 6447, 1929, 32, 71005, 109519, 16144, 8239, 114503, 30512, 45736, 109315, 116696, 48552, 120098, 198, 14711, 75966, 232, 104680, 108285, 29295, 30369, 1929, 32, 71005, 109519, 16144, 46034, 38574, 198, 24186, 104680, 15682, 5486, 116213, 105811, 71289, 113487, 76622, 105811, 104309, 16995, 78183, 106644, 30369, 123737, 20230, 118430, 102404, 54926, 111571, 103397, 103306, 15017, 231, 58942, 102204, 100481, 79721, 29295, 106116, 123470, 103242, 109519, 112113, 16144, 103130, 105564, 71289, 102473, 16144, 113096, 103130, 104309, 30512, 33035, 100204, 103242, 109519, 101513, 97518, 113245, 71005, 109519, 29295, 88367, 119012, 116436, 111694, 103306, 104736, 62004, 109115, 112973, 5486, 123737, 25287, 110645, 105811, 111571, 7, 1929, 32, 8, 38641, 9174, 103242, 109519, 101513, 97518, 30512, 33035, 100204, 28713, 71005, 109519, 29295, 104736, 62004, 110071, 116436, 111694, 103306, 104736, 23187, 103646, 106592, 101682, 76622, 5486, 112599, 77181, 111717, 102208, 30590, 16144, 32943, 70626, 71289, 105871, 104735, 248, 70626, 5486, 58666, 37729, 105871, 104735, 248, 70626, 123160, 120761, 109519, 70626, 30512, 33035, 100204, 38144, 1929, 32, 71005, 109519, 114475, 105784, 105908, 108608, 101200, 110276, 102717, 32149, 5486, 118899, 77181, 1929, 32, 114363, 103722, 16144, 120761, 109519, 48915, 37507, 29295, 17039, 28713, 20230, 102332, 76622, 110071, 104309, 5486, 102321, 31640, 16144, 103429, 16144, 16, 59739, 103306, 110577, 20230, 23187, 100815, 127145, 9174, 53900, 5486, 1929, 32, 102677, 111571, 103397, 30512, 23226, 106594, 15024, 103911, 103181, 54926, 46034, 38574, 103306, 5486, 108895, 56051, 120761, 109519, 70626, 30512, 33035, 100204, 28713, 71005, 109519, 103359, 105226, 121142, 103470, 5486, 64810, 33710, 96841, 109, 39880, 112028, 108476, 103306, 103350, 124299, 108608, 101662, 105811, 21403, 97, 71289, 102404, 105811, 21403, 97, 102083, 100472, 105107, 25446, 16144, 76706, 11883, 32977, 23039, 105262, 101200, 115717, 5486, 28713, 19732, 58942, 114363, 103722, 103242, 30512, 120007, 116446, 32977, 43511, 17792, 20230, 50021, 111813, 54926, 112973, 104405, 120837, 107202, 108631, 103195, 102677, 24273, 105352, 5486, 46034, 117355, 20230, 1929, 32, 103359, 105226, 29295, 23039, 105262, 101200, 115717, 79721, 9174, 90620, 15024, 5486, 1929, 32, 111363, 103359, 105226, 71289, 71005, 109519, 30512, 107167, 122842, 104309, 16556, 103350, 104983, 20230, 101682, 107674, 107803, 32977, 5486, 71005, 109519, 111848, 23226, 106594, 8239, 114503, 30512, 34226, 20230, 103350, 99750, 54926, 103846, 102052, 5486, 64810, 33710, 96841, 109, 39880, 30512, 33035, 100204, 28713, 48154, 116907, 16144, 121837, 30512, 103350, 124299, 54926, 30926, 29295, 32018, 62004, 102204, 33541, 1811, 107803, 113468, 15682, 5486, 64810, 33710, 96841, 109, 39880, 16144, 44915, 103458, 104680, 113468, 107167, 122842, 113245, 71005, 109519, 71289, 103359, 105226, 8239, 114503, 30512, 34226, 20230, 45736, 109315, 105908, 106084, 30369, 15120, 24273, 5486, 64810, 33710, 96841, 109, 39880, 30512, 17486, 254, 76947, 114732, 19732, 5486, 72342, 42891, 32149, 119064, 8239, 114503, 29295, 103167, 17297, 39926, 114732, 109755, 33121, 32977, 57903, 33541, 9174, 77181, 5486, 67645, 120950, 64810, 33710, 96841, 109, 39880, 30512, 9080, 40053, 104654, 107809, 16556, 23039, 30297, 118733, 5486, 107167, 122842, 16556, 101682, 107674, 71005, 109519, 8239, 114503, 30512, 34226, 20230, 45736, 109315, 105908, 108608, 105879, 109954, 32149, 95532, 77693, 33503, 109853, 116696, 48552, 120098, 30512, 102332, 107441, 114140, 109768, 50834, 17129, 109954, 9174, 14711, 103879, 119, 109519, 8239, 114503, 30512, 34226, 20230, 45736, 109315, 116696, 48552, 120098, 198, 827, 125389, 104654, 16144, 23226, 106594, 198, 64810, 33710, 96841, 109, 39880, 16556, 103350, 124299, 108608, 32335, 32977, 108729, 109904, 46034, 38574, 106272, 32977, 108048, 30512, 103350, 124299, 54926, 32149, 104405, 32149, 16556, 1929, 32, 103359, 105226, 16144, 113702, 30512, 119448, 47884, 118396, 54926, 31634, 72238, 117282, 112973, 5486, 102456, 104654, 38641, 9174, 27452, 116285, 5486, 107167, 122842, 30512, 33035, 100204, 114363, 103722, 103242, 111848, 8239, 114503, 109904, 71005, 109519, 114475, 107674, 105352, 32149, 124233, 121140, 5486, 9080, 40053, 104654, 107809, 16556, 99046, 224, 18655, 54926, 102456, 30926, 29295, 39880, 113155, 119930, 26854, 102944, 118816, 5486, 72342, 42891, 32149, 119064, 71005, 109519, 8239, 114503, 29295, 33014, 99750, 118765, 67645, 107404, 32149, 5486, 109161, 16995, 102456, 104654, 113468, 111571, 103397, 29295, 109161, 33208, 39926, 114732, 109755, 33121, 115991, 33541, 9174, 85701, 15682, 5486, 1929, 32, 16144, 102404, 111571, 113385, 16144, 16, 59739, 103306, 121496, 105284, 16144, 99046, 224, 31431, 120195, 71289, 102404, 105811, 20230, 109215, 26854, 15308, 226, 113598, 72238, 16144, 124490, 30624, 104309, 107407, 103846, 16556, 5486, 105298, 37087, 26854, 102456, 104654, 30512, 103350, 124299, 21105, 103, 102518, 107803, 115847, 120577, 113385, 20230, 109638, 40265, 39926, 103801, 16995, 1929, 32, 30512, 103911, 103181, 54926, 67645, 107404, 32149, 116900, 20230, 100845, 115, 115737, 76947, 114732, 125396, 32977, 57903, 33541, 9174, 66378, 20230, 5486, 102456, 53953, 103721, 232, 109205, 71289, 91482, 47307, 101198, 16073, 33, 104770, 104309, 102404, 105811, 19732, 101662, 105811, 20230, 109215, 26854, 15308, 226, 113598, 72238, 15682, 5486, 105811, 103760, 104398, 112506, 16144, 76706, 34171, 33208, 71289, 108602, 72238, 16144, 84844, 110698, 20230, 109947, 124490, 26854, 104473, 89753, 30512, 105298, 37087, 26854, 121894, 20230, 109205, 69978, 54926, 113009, 124490, 32149, 72342, 100604, 31634, 72238, 117282, 105879, 5486, 1929, 32, 71005, 109519, 114475, 107674, 126513, 5486, 105360, 23039, 39926, 102456, 104654, 16144, 23226, 106594, 20230, 115619, 62004, 17129, 109954, 9174, 827, 108837, 98, 37087, 26854, 103892, 105871, 117501, 16144, 109205, 69978, 198, 1929, 32, 71005, 109519, 30512, 114363, 103722, 103242, 104309, 55031, 109467, 101682, 107674, 107803, 5486, 59614, 101860, 64810, 33710, 96841, 109, 39880, 112028, 108476, 103306, 64467, 112419, 107001, 31634, 72238, 16144, 16, 59739, 29295, 5486, 103892, 105871, 117501, 30512, 105298, 37087, 26854, 121894, 20230, 33563, 59739, 102677, 28542, 38641, 9174, 48154, 25359, 53283, 119775, 5486, 105811, 122615, 29295, 21990, 105262, 103892, 105871, 102677, 121606, 15682, 5486, 111006, 107809, 72661, 66378, 20230, 105871, 121496, 19732, 123529, 16144, 17620, 14888, 234, 33857, 29295, 127181, 34048, 25129, 16144, 16, 59739, 38641, 1811, 33014, 32943, 16556, 110577, 20230, 113473, 119012, 121496, 105284, 71289, 92877, 25766, 225, 53953, 30512, 105871, 121496, 71289, 123529, 16144, 83799, 16556, 61056, 20834, 54926, 118733, 113614, 26854, 111006, 30512, 109205, 69978, 54926, 101399, 5486, 40053, 20230, 103892, 105871, 30512, 104356, 114267, 105811, 123222, 126328, 108895, 56051, 61056, 20834, 34048, 29295, 61056, 20834, 116216, 61689, 9174, 105871, 121496, 71289, 123529, 123160, 92877, 25766, 225, 53953, 15682, 106116, 110674, 54322, 76947, 33334, 126145, 108602, 72238, 19732, 102971, 40862, 39926, 108602, 33208, 53953, 105284, 121711, 105871, 104735, 248, 71289, 105811, 123222, 123274, 16144, 105811, 111528, 103892, 71289, 105811, 103760, 104398, 112506, 20230, 109161, 117375, 30512, 82317, 109416, 17663, 109755, 33121, 107407, 103846, 5486, 1929, 32, 30512, 23226, 106594, 54926, 17905, 16556, 59614, 101860, 61633, 29295, 109215, 38641, 9174, 92877, 25766, 225, 53953, 30512, 108167, 30813, 30369, 41007, 103306, 17701, 118959, 125344, 108914, 122615, 29295, 108936, 9554, 119627, 110371, 39177, 5486, 90620, 13357, 229, 116169, 20230, 108914, 21403, 97, 124905, 76947, 108914, 30297, 16144, 126194, 5486, 105811, 123222, 123274, 16144, 21980, 248, 33121, 30512, 110408, 15024, 121406, 104466, 37689, 109375, 21105, 103, 29295, 33503, 32977, 64121, 108914, 16995, 54926, 112973, 57942, 251, 64209, 118855, 5486, 105988, 108969, 11972, 21403, 97, 37026, 33014, 29295, 108618, 76947, 114732, 19732, 85701, 29295, 92877, 25766, 225, 53953, 117282, 105879, 5486, 108914, 122615, 74482, 15682, 37689, 109375, 21105, 97, 59739, 108914, 16995, 89753, 103801, 109954, 9174, 827, 126292, 47260, 64178, 19732, 83601, 104, 124623, 30512, 111098, 105784, 198, 115320, 103882, 71289, 83601, 104, 124623, 32977, 53900, 5486, 1929, 32, 71005, 109519, 16144, 8239, 114503, 30512, 100525, 101, 102639, 30369, 27384, 112495, 31634, 63212, 16144, 16, 59739, 38641, 1811, 115320, 103882, 113468, 33014, 32943, 109156, 100472, 107908, 47260, 64178, 15682, 5486, 57942, 251, 26274, 241, 16556, 17620, 50338, 54926, 104983, 20230, 43240, 33857, 16144, 91482, 47307, 101198, 16073, 30512, 33420, 106382, 78434, 1811, 122615, 16144, 101662, 13153, 20230, 109215, 26854, 91482, 47307, 101198, 16073, 30512, 32977, 38129, 39926, 114732, 103846, 5486, 101662, 105811, 30512, 114632, 104698, 54926, 31634, 72238, 121711, 33541, 9174, 53900, 5486, 83601, 104, 124623, 113468, 33014, 32943, 109156, 100472, 78683, 47260, 78459, 16073, 15682, 5486, 104473, 36651, 30512, 110226, 123332, 124545, 8239, 114503, 30512, 32977, 127567, 17663, 103846, 5486, 43240, 33857, 16144, 108602, 72238, 30512, 109215, 117408, 105811, 103760, 104398, 112506, 111363, 108602, 72238, 16144, 84844, 110698, 30512, 114632, 104698, 54926, 109755, 33121, 115991, 33541, 1811, 108895, 56051, 109161, 117375, 30512, 111098, 105784, 101399, 105352, 5486, 1929, 32, 71005, 109519, 16325, 16144, 115320, 103882, 71289, 83601, 104, 124623, 15682, 108608, 103378, 111098, 105784, 112973, 102832, 71634, 38641, 9174, 51330, 47260, 32131, 91062, 29295, 127879, 100472, 33503, 198, 112371, 104328, 13177, 104712, 101832, 76864, 126130, 124730, 78434, 40620, 198, 64121, 103171, 20230, 107734, 80195, 59739, 108134, 126130, 109948, 76622, 78434, 1811, 128001, 128000, 2, 107301, 20251, 103830, 102472, 16073, 36761, 106307, 104817, 127359, 25005, 112, 78349, 37823, 48552, 29295, 103188, 86436, 19732, 70141, 50834, 40862, 30297, 53953, 102158, 20230, 119258, 75966, 96, 106978, 13177, 103031, 15682, 50338, 104662, 21105, 103, 118145, 16995, 76622, 107515, 111329, 39880, 122131, 9458, 115332, 5486, 20251, 91062, 9458, 29220, 33710, 106240, 104198, 116358, 13372, 19967, 44620, 20251, 103830, 102472, 16073, 121359, 3753, 21, 120732, 106307, 104817, 117282, 198, 44620, 20251, 103830, 102472, 16073, 106982, 25005, 112, 78349, 37823, 48552, 36761, 77181, 5486, 122768, 35417, 68759, 25005, 112, 78349, 37823, 48552, 29295, 13177, 103188, 86436, 19732, 70141, 50834, 40862, 30297, 10646, 110783, 29295, 110240, 32149, 104028, 102677, 1811, 102321, 107734, 30512, 73686, 56906, 15024, 5486, 33671, 101083, 31640, 80805, 25197, 42634, 67075, 30512, 101662, 13153, 54926, 100927, 102078, 103306, 120955, 54926, 68759, 25005, 112, 78349, 37823, 48552, 15682, 108048, 103296, 20230, 67645, 120950, 103188, 86436, 30512, 105564, 64121, 124563, 112371, 70141, 50834, 40862, 30297, 109215, 107407, 120900, 32149, 95532, 1958, 8107, 104087, 119432, 106307, 104817, 19732, 103378, 57903, 127359, 25005, 112, 78349, 37823, 48552, 16144, 106613, 28713, 104721, 33208, 29295, 95221, 101983, 104533, 107404, 109846, 5486, 123113, 30512, 102781, 109315, 113909, 64810, 52591, 9458, 47260, 57207, 107446, 118639, 103732, 104984, 13177, 198, 43240, 119064, 28542, 16556, 112073, 121944, 112854, 58942, 100934, 105933, 71208, 16144, 110674, 10646, 36785, 102677, 66327, 103031, 15682, 71493, 110590, 16556, 117633, 100472, 11881, 242, 16144, 103926, 101918, 45, 42520, 10110, 119732, 29220, 7705, 30512, 102472, 44971, 78767 ]
[ 20230, 33563, 36651, 39926, 33541, 15024, 5486, 108748, 66953, 113883, 39880, 91482, 76739, 25197, 102514, 16144, 60868, 94550, 112718, 119707, 107441, 61689, 66383, 83947, 29831, 556, 126250, 87177, 103792, 66327, 103031, 15682, 115364, 71289, 113017, 120266, 37026, 22023, 114792, 76947, 61689, 124845, 5486, 17792, 21990, 30512, 107850, 23039, 101513, 20230, 15017, 100, 102639, 100934, 116233, 126557, 107420, 68408, 72369, 38248, 113, 115247, 109531, 102540, 9458, 110101, 26269, 71493, 25197, 68759, 11972, 32977, 13177, 37271, 72661, 68759, 25005, 112, 78349, 37823, 48552, 16144, 110674, 66383, 87177, 103792, 104466, 5486, 101067, 66201, 71689, 20230, 68759, 25005, 112, 78349, 37823, 48552, 15682, 124500, 110104, 110674, 26854, 104865, 121061, 9174, 80673, 106116, 2118, 124500, 33503, 26854, 30813, 863, 20230, 127105, 127359, 25005, 112, 78349, 37823, 48552, 29295, 103188, 86436, 19732, 70141, 50834, 40862, 78183, 75694, 30369, 30512, 50928, 100604, 102936, 19732, 15024, 123222, 29295, 119100, 126559, 101200, 36785, 1811, 27929, 32977, 27929, 32977, 68759, 25005, 112, 78349, 37823, 48552, 29295, 100927, 102078, 103306, 114941, 121118, 104468, 115847, 103296, 16144, 119883, 32149, 102800, 17860, 116486, 19732, 103350, 48634, 104088, 104526, 17129, 106824, 16144, 100909, 1811, 80805, 25197, 42634, 67075, 15120, 119049, 16556, 105564, 25827, 103082, 28713, 110480, 104346, 112624, 13821, 228, 26854, 17792, 21990, 29295, 17885, 118, 105262, 102677, 102944, 109846, 5486, 47260, 57207, 107446, 118639, 123113, 16995, 78183, 47884, 106116, 32149, 28713, 78183, 33503, 68759, 25005, 112, 78349, 37823, 48552, 15682, 13177, 102159, 105390, 26854, 101890, 254, 17044, 110, 30512, 124237, 121118, 66383, 95604, 105272, 54747, 101890, 254, 17044, 110, 863, 29295, 68759, 25005, 112, 78349, 37823, 48552, 125030, 76947, 99849, 30512, 64467, 103792, 104865, 15682, 103911, 108867, 32977, 59739, 126660, 29295, 36896, 198, 103031, 15682, 103188, 86436, 16144, 99849, 111201, 70141, 50834, 40862, 16995, 5486, 50338, 104662, 21105, 103, 118145, 26854, 31431, 107515, 66383, 123113, 15682, 87177, 103792, 66327, 30537, 16, 19967, 115226, 20230, 126954, 118273, 107591, 16144, 53953, 102158, 105321, 38641, 1811, 16995, 17129, 103031, 15682, 17792, 21990, 16144, 108010, 30297, 106826, 78767, 20230, 61689, 10646, 9174, 91763, 116285, 106307, 104817, 102052, 127359, 25005, 112, 78349, 37823, 48552, 16144, 120117, 115541, 21990, 113146, 16144, 102803, 66953, 33710, 103351, 111090, 22398, 111817, 10110, 115687, 33710, 9458, 62903, 33710, 68759, 11972, 7705, 119775, 68759, 25005, 112, 78349, 37823, 48552, 16144, 85701, 103296, 30512, 2118, 53283, 31431, 50928, 30369, 863, 107391, 119539, 102514, 32977, 88356, 102802, 120955, 54926, 1811, 120117, 115541, 123429, 16556, 51609, 30512, 102936, 114267, 68759, 25005, 112, 78349, 37823, 48552, 16144, 109988, 50834, 106759, 98915, 41758, 61398, 16144, 23018, 45829, 5486, 110101, 105404, 102540, 9458, 2118, 33710, 61398, 102514, 863, 9458, 110101, 105404, 102895, 11972, 10110, 68759, 106696, 78525, 9458, 57933, 109554, 120732, 120955, 32977, 17620, 126469, 108086, 5486, 106307, 104817, 15682, 2118, 103188, 86436, 863, 29295, 28741, 30177, 114556, 108826, 54926, 68759, 25005, 112, 78349, 37823, 48552, 16144, 53953, 102158, 108176, 109335, 56965, 121953, 26854, 30813, 102131, 36785, 1811, 128001, 128000, 567, 114577, 36668, 121930, 107118, 43240, 9039, 104662, 198, 12, 220, 2437, 25, 1758, 198, 121302, 121930, 107118, 43240, 9039, 104662, 198, 365, 441, 8480, 198, 83354, 121302, 121930, 107118, 5486, 43240, 9039, 104662, 26854, 105272, 9174, 108010, 30297, 57980, 1811, 121302, 121930, 107118, 121568, 121930, 26854, 105272, 55031, 5486, 43240, 9039, 104662, 16144, 53229, 22649, 19732, 83747, 9039, 105647, 10110, 83747, 9039, 30046, 120732, 112607, 60632, 29295, 100543, 249, 16555, 122, 39926, 15682, 105110, 100604, 113334, 9174, 31634, 54926, 20230, 101832, 5486, 43240, 9039, 104662, 16144, 53229, 22649, 19732, 83747, 9039, 105647, 16144, 112607, 60632, 29295, 100543, 249, 16555, 122, 112990, 121302, 121930, 15682, 13153, 31431, 80195, 28713, 100604, 102189, 57980, 9174, 43240, 9039, 104662, 29295, 121302, 121930, 36785, 105321, 100481, 103836, 116537, 31809, 106718, 25129, 108995, 101832, 9174, 112672, 108948, 25580, 33503, 15682, 121302, 121930, 16144, 53229, 22649, 71289, 53229, 108630, 104309, 15682, 48864, 108710, 21105, 103, 16995, 123794, 11571, 99849, 72342, 102433, 17792, 111769, 105272, 55031, 101832, 9174, 83354, 13177, 83747, 9039, 105647, 10110, 83747, 9039, 30046, 120732, 112607, 60632, 66383, 71289, 33503, 29295, 5486, 121302, 121930, 16144, 106391, 13153, 53229, 22649, 117282, 109335, 43568, 16995, 102189, 57980, 9174, 100525, 226, 101067, 15682, 116414, 103296, 23039, 114598, 100525, 226, 101067, 113461, 57980, 9174, 33334, 25580, 15682, 102433, 29504, 107063, 110, 25333, 30512, 53283, 110104, 113334, 9174, 121302, 121930, 107118, 121568, 121930, 126529, 101832, 1811, 56051, 29295, 76947, 5486, 27452, 58942, 83747, 9039, 105647, 127303, 103950, 29295, 29504, 70821, 15682, 121568, 103306, 113797, 30358, 84389, 123207, 105110, 100604, 102189, 57980, 9174, 102433, 17792, 28190, 30512, 39926, 102433, 16556, 123726, 38144, 23039, 47884, 105879, 30591, 104984, 5486, 107063, 110, 25333, 1032, 40089, 127253, 717, 40089, 5486, 1313, 40089, 5486, 1682, 40089, 30512, 57980, 11972, 47884, 98499, 64121, 17129, 109954, 101832, 9174, 108936, 106222, 20230, 102572, 102532, 43240, 9039, 104662, 15682, 121302, 121930, 36785, 114016, 78244, 107462, 104533, 49838, 126832, 57980, 9174, 43240, 9039, 104662, 15682, 43240, 9039, 112919, 114363, 44416, 30512, 21990, 100204, 107726, 38144, 83747, 9039, 105647, 16144, 112607, 60632, 30512, 117976, 104698, 39926, 114732, 105908, 101182, 102189, 57980, 9174, 85701, 77181, 121302, 121930, 15682, 13153, 31431, 80195, 28713, 100604, 113334, 109860, 5486, 83747, 9039, 105647, 16144, 112607, 60632, 30512, 106154, 30369, 109215, 107407, 113334, 9174, 121302, 121930, 29504, 107118, 102159, 114754, 17792, 103306, 123726, 38144, 23039, 47884, 124122, 119046, 33014, 113461, 108422, 1811, 57980, 76947, 5486, 43240, 9039, 104662, 16556, 102159, 114754, 17792, 103306, 123726, 38144, 23039, 47884, 112607, 60632, 30512, 127696, 76947, 112987, 124324, 102189, 108422, 9174, 15120, 9080, 16325, 114387, 110229, 109156, 31431, 27699, 116, 103836, 88399, 229, 107407, 16144, 105110, 5486, 121302, 121930, 16144, 75146, 17920, 236, 53283, 109375, 25129, 15682, 48864, 108710, 56051, 17129, 58942, 9174, 83354, 76947, 108948, 123628, 29504, 104446, 120268, 104575, 16556, 43240, 9039, 104662, 108710, 78183, 25827, 104865, 95532, 126843, 5486, 121302, 44416, 29295, 30832, 64467, 17663, 104468, 37087, 38093, 15120, 105260, 36785, 102677, 106592, 119852, 33334, 47884, 57980, 9174, 33334, 25580, 15682, 102433, 16144, 104378, 114475, 76622, 126386, 55031, 118522, 16144, 103005, 55228, 231, 16144, 115552, 30512, 53283, 110104, 113334, 9174, 118522, 16144, 103005, 55228, 231, 107118, 118522, 16144, 60632, 105576, 30512, 64467, 17663, 102189, 108422, 9174, 17792, 112607, 19732, 17792, 112607, 15682, 59614, 101860, 127852, 104584, 54926, 102944, 109846, 112160, 24273, 110366, 29295, 43240, 9039, 16144, 48634, 113468, 112607, 60632, 30512, 33035, 102131, 19732, 126693, 5486, 108031, 15120, 24273, 16144, 83747, 9039, 105647, 16144, 112607, 60632, 15682, 44416, 103664, 116216, 114732, 102189, 57980, 9174, 85701, 77181, 118522, 16144, 60632, 105576, 101983, 110104, 113334, 109860, 112160, 24273, 110366, 16144, 112607, 60632, 103378, 29295, 104736, 62004, 110071, 121894, 30512, 118522, 16144, 103005, 55228, 231, 20230, 95543, 112990, 112844, 102189, 108422, 9174, 77181, 120953, 126693, 118522, 16144, 60632, 105576, 108176, 104865, 19732, 78244, 116285, 5486, 105564, 64121, 108385, 30369, 67016, 100604, 102189, 57980, 9174, 100525, 98, 108975, 39926, 105564, 64121, 108385, 30369, 105908, 118522, 16144, 103005, 55228, 231, 5486, 59739, 109709, 118522, 16144, 60632, 105576, 113461, 108422, 9174, 27452, 116285, 26854, 5486, 43240, 9039, 105647, 16144, 37689, 91774, 30512, 33035, 102131, 117408, 100909, 113468, 106222, 9554, 112294, 30046, 29295, 125174, 15017, 101, 38144, 110071, 127749, 20230, 14309, 98, 30369, 125396, 29295, 126574, 107803, 5486, 43240, 9039, 105647, 15682, 115364, 60632, 105576, 30512, 101890, 254, 17044, 110, 116446, 17129, 72661, 106222, 9554, 112294, 30046, 30512, 123050, 54926, 121507, 123410, 105908, 101182, 102189, 57980, 9174, 31634, 54926, 20230, 5486, 118522, 16144, 103005, 55228, 231, 20230, 103721, 233, 29295, 30369, 121507, 123410, 102189, 57980, 1811, 99849, 104604, 105110, 108048, 29295, 45163, 110782, 20230, 115364, 60632, 105576, 108176, 55031, 36785, 9174, 105184, 111201, 5486, 114640, 122074, 16144, 46034, 106307, 50834, 15682, 43240, 9039, 104662, 127303, 114598, 5486, 83747, 9039, 105647, 16144, 112607, 60632, 30512, 123050, 54926, 121507, 123410, 106592, 44620, 83747, 9039, 104662, 36761, 19732, 112844, 113334, 9174, 37046, 104680, 102433, 116537, 101832, 5486, 107063, 110, 25333, 20230, 105037, 111, 78183, 115032, 108729, 104123, 112607, 16144, 113797, 30358, 30512, 113954, 103792, 55031, 5486, 43240, 119064, 75267, 28190, 16556, 83747, 9039, 104662, 117824, 103836, 102189, 57980, 9174, 33334, 25580, 120577, 43240, 9039, 104662, 16144, 126067, 15682, 104284, 43514, 109972, 76622, 116787, 5486, 104662, 39926, 83747, 9039, 16144, 112294, 112919, 112607, 60632, 30512, 123050, 119607, 107118, 21105, 103, 16995, 113334, 9174, 31634, 54926, 20230, 108948, 25580, 120577, 113727, 15682, 60632, 101923, 121930, 116787, 5486, 121302, 121930, 16144, 121568, 121930, 107118, 37087, 47884, 103283, 16144, 118729, 113461, 57980, 9174, 83747, 9039, 105647, 124911, 112607, 29295, 117976, 104698, 84389, 111243, 108048, 15682, 43240, 9039, 104662, 16144, 113702, 109860, 106548, 24273, 119703, 19732, 112844, 117694, 15682, 5486, 121302, 121930, 30512, 37087, 47884, 53283, 110104, 117694, 16144, 102404, 78244, 109860, 101832, 9174, 83354, 122582, 43240, 9039, 104662, 36785, 1811, 39880, 103927, 9174, 118116, 101832, 5486, 37087, 38093, 15120, 105260, 30512, 53229, 108630, 114267, 104662, 104760, 117824, 30297, 107803, 112160, 59739, 72661, 95543, 103359, 37689, 91774, 29295, 30591, 104984, 107624, 104662, 16937, 116166, 108176, 113334, 9174, 43240, 9039, 104662, 15682, 101832, 5486, 37689, 91774, 125001, 47884, 59739, 111201, 17620, 32149, 103468, 126101, 83812, 249, 13153, 112919, 127181, 37689, 91774, 30512, 118935, 11883, 54926, 107624, 104662, 16144, 100909, 116787, 5486, 37087, 38093, 15120, 105260, 107118, 37087, 47884, 108901, 109020, 107624, 104662, 41007, 113461, 57980, 9174, 27452, 116285, 5486, 32149, 59739, 38144, 127123, 89046, 107808, 102677, 127123, 121606, 29295, 30591, 76947, 101832, 5486, 89046, 107808, 16144, 104662, 104760, 15682, 37087, 38093, 15120, 105260, 30512, 25580, 29172, 114267, 107624, 104662, 29295, 23039, 123671, 101732, 113009, 53953, 30926, 29295, 16325, 104680, 104662, 17129, 110104, 30926, 107328, 20230, 14309, 98, 30369, 105908, 43240, 102518, 113334, 9174, 127123, 89046, 40862, 102677, 127123, 121606, 29295, 19967, 109115, 104983, 20230, 5486, 127123, 89046, 107808, 29295, 121432, 103082, 104435, 113385, 16144, 37087, 38093, 15120, 105260, 102677, 107624, 104662, 41007, 126194, 5486, 43240, 9039, 104662, 102677, 107624, 104662, 41007, 30512, 118935, 11883, 56051, 102189, 57980, 9174, 37087, 38093, 15120, 105260, 19732, 43240, 9039, 104662, 16144, 121953, 15682, 113954, 103082, 28713, 95532, 121302, 121930, 15682, 121568, 121930, 116787, 5486, 83747, 9039, 105647, 16144, 102159, 114754, 125174, 15017, 101, 38144, 110071, 105908, 30591, 76947, 15682, 105110, 100604, 105272, 55031, 37087, 38093, 15120, 105260, 30512, 53229, 108630, 117408, 103854, 112495, 105272, 29295, 5486, 48249, 109115, 82973, 16556, 53953, 30926, 30512, 122074, 54926, 126513, 109431, 102769, 26854, 107624, 104662, 41007, 107118, 78244, 119841, 102189, 57980, 9174, 109860, 5486, 38093, 104760, 20230, 102572, 105784, 104662, 104760, 15682, 43240, 9039, 104662, 30512, 118935, 11883, 54926, 107803, 29295, 127181, 105272, 29295, 5486, 43240, 9039, 112919, 114363, 44416, 30512, 21990, 100204, 107726, 38144, 83747, 9039, 105647, 16144, 112607, 60632, 30512, 117976, 104698, 39926, 114732, 109335, 110008, 84389, 100604, 113334, 9174, 109860, 43240, 119064, 75267, 28190, 16556, 83747, 9039, 104662, 29295, 23039, 78183, 115032, 102189, 57980, 1811, 43240, 9039, 104662, 15682, 104662, 39926, 104284, 43514, 109972, 76622, 126194, 5486, 83747, 9039, 30046, 15682, 43240, 9039, 30046, 20230, 123532, 58942, 102677, 102944, 111769, 102189, 57980, 9174, 43240, 9039, 104662, 30512, 53283, 110104, 103803, 115933, 29295, 107991, 120266, 84150, 244, 61994, 114267, 29295, 5486, 43240, 9039, 104662, 16144, 115552, 32977, 53283, 121140, 20230, 13177, 121302, 121930, 107118, 5486, 43240, 9039, 104662, 26854, 105272, 66383, 119852, 114732, 120266, 121602, 102334, 57980, 9174, 83354, 37087, 38093, 15120, 105260, 105110, 108048, 29295, 43240, 9039, 16144, 37689, 91774, 103306, 118935, 11883, 107001, 102189, 57980, 9174, 15682, 30591, 11571, 33334, 25580, 5486, 53900, 53900, 71289, 120240, 117864, 26854, 9174, 37087, 38093, 15120, 105260, 102677, 126067, 102052, 43240, 9039, 32977, 83747, 9039, 32977, 48706, 21105, 103, 16995, 102189, 57980, 9174, 64121, 104043, 126758, 120267, 117735, 30512, 119852, 25827, 104446, 101832, 38248, 230, 1811, 43240, 9039, 104662, 16144, 115552, 30512, 53283, 110104, 117694, 29295, 51330, 101083, 20230, 16995, 104533, 15682, 121602, 50834, 120572, 9174, 37087, 38093, 15120, 105260, 19732, 43240, 9039, 104662, 15682, 42016, 104577, 118816, 112844, 117694, 15682, 5486, 102616, 16325, 16556, 33334, 25580, 103378, 36785, 9174, 118116, 26854, 5486, 121302, 121930, 15682, 121568, 121930, 104604, 20230, 37087, 38093, 15120, 105260, 30512, 30832, 64467, 39926, 104760, 105242, 30512, 21105, 103, 118145, 105110, 100604, 16144, 101832, 9174, 37087, 38093, 15120, 105260, 20230, 57237, 33503, 104435, 107803, 20230, 48249, 31431, 123334, 104004, 30512, 50928, 101860, 43240, 9039, 104662, 111848, 107624, 104662, 117824, 30297, 102189, 57980, 9174, 43240, 9039, 16144, 103359, 80195, 126067, 15682, 83747, 9039, 120572, 1811, 72661, 26854, 5486, 37087, 38093, 15120, 105260, 102052, 15120, 118821, 95543, 103359, 37689, 91774, 32977, 48706, 21105, 103, 16995, 29295, 5486, 43240, 9039, 104662, 102052, 83812, 249, 33476, 110176, 105242, 29295, 48706, 54926, 113334, 109860, 5486, 37087, 38093, 15120, 105260, 19732, 43240, 9039, 104662, 15682, 119045, 112535, 108901, 109020, 126067, 113461, 57980, 9174, 101083, 56965, 16556, 37087, 38093, 15120, 105260, 19732, 43240, 9039, 104662, 15682, 112361, 118816, 119852, 48154, 33503, 25827 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20230, 33563, 36651, 39926, 33541, 15024, 5486, 108748, 66953, 113883, 39880, 91482, 76739, 25197, 102514, 16144, 60868, 94550, 112718, 119707, 107441, 61689, 66383, 83947, 29831, 556, 126250, 87177, 103792, 66327, 103031, 15682, 115364, 71289, 113017, 120266, 37026, 22023, 114792, 76947, 61689, 124845, 5486, 17792, 21990, 30512, 107850, 23039, 101513, 20230, 15017, 100, 102639, 100934, 116233, 126557, 107420, 68408, 72369, 38248, 113, 115247, 109531, 102540, 9458, 110101, 26269, 71493, 25197, 68759, 11972, 32977, 13177, 37271, 72661, 68759, 25005, 112, 78349, 37823, 48552, 16144, 110674, 66383, 87177, 103792, 104466, 5486, 101067, 66201, 71689, 20230, 68759, 25005, 112, 78349, 37823, 48552, 15682, 124500, 110104, 110674, 26854, 104865, 121061, 9174, 80673, 106116, 2118, 124500, 33503, 26854, 30813, 863, 20230, 127105, 127359, 25005, 112, 78349, 37823, 48552, 29295, 103188, 86436, 19732, 70141, 50834, 40862, 78183, 75694, 30369, 30512, 50928, 100604, 102936, 19732, 15024, 123222, 29295, 119100, 126559, 101200, 36785, 1811, 27929, 32977, 27929, 32977, 68759, 25005, 112, 78349, 37823, 48552, 29295, 100927, 102078, 103306, 114941, 121118, 104468, 115847, 103296, 16144, 119883, 32149, 102800, 17860, 116486, 19732, 103350, 48634, 104088, 104526, 17129, 106824, 16144, 100909, 1811, 80805, 25197, 42634, 67075, 15120, 119049, 16556, 105564, 25827, 103082, 28713, 110480, 104346, 112624, 13821, 228, 26854, 17792, 21990, 29295, 17885, 118, 105262, 102677, 102944, 109846, 5486, 47260, 57207, 107446, 118639, 123113, 16995, 78183, 47884, 106116, 32149, 28713, 78183, 33503, 68759, 25005, 112, 78349, 37823, 48552, 15682, 13177, 102159, 105390, 26854, 101890, 254, 17044, 110, 30512, 124237, 121118, 66383, 95604, 105272, 54747, 101890, 254, 17044, 110, 863, 29295, 68759, 25005, 112, 78349, 37823, 48552, 125030, 76947, 99849, 30512, 64467, 103792, 104865, 15682, 103911, 108867, 32977, 59739, 126660, 29295, 36896, 198, 103031, 15682, 103188, 86436, 16144, 99849, 111201, 70141, 50834, 40862, 16995, 5486, 50338, 104662, 21105, 103, 118145, 26854, 31431, 107515, 66383, 123113, 15682, 87177, 103792, 66327, 30537, 16, 19967, 115226, 20230, 126954, 118273, 107591, 16144, 53953, 102158, 105321, 38641, 1811, 16995, 17129, 103031, 15682, 17792, 21990, 16144, 108010, 30297, 106826, 78767, 20230, 61689, 10646, 9174, 91763, 116285, 106307, 104817, 102052, 127359, 25005, 112, 78349, 37823, 48552, 16144, 120117, 115541, 21990, 113146, 16144, 102803, 66953, 33710, 103351, 111090, 22398, 111817, 10110, 115687, 33710, 9458, 62903, 33710, 68759, 11972, 7705, 119775, 68759, 25005, 112, 78349, 37823, 48552, 16144, 85701, 103296, 30512, 2118, 53283, 31431, 50928, 30369, 863, 107391, 119539, 102514, 32977, 88356, 102802, 120955, 54926, 1811, 120117, 115541, 123429, 16556, 51609, 30512, 102936, 114267, 68759, 25005, 112, 78349, 37823, 48552, 16144, 109988, 50834, 106759, 98915, 41758, 61398, 16144, 23018, 45829, 5486, 110101, 105404, 102540, 9458, 2118, 33710, 61398, 102514, 863, 9458, 110101, 105404, 102895, 11972, 10110, 68759, 106696, 78525, 9458, 57933, 109554, 120732, 120955, 32977, 17620, 126469, 108086, 5486, 106307, 104817, 15682, 2118, 103188, 86436, 863, 29295, 28741, 30177, 114556, 108826, 54926, 68759, 25005, 112, 78349, 37823, 48552, 16144, 53953, 102158, 108176, 109335, 56965, 121953, 26854, 30813, 102131, 36785, 1811, 128001, 128000, 567, 114577, 36668, 121930, 107118, 43240, 9039, 104662, 198, 12, 220, 2437, 25, 1758, 198, 121302, 121930, 107118, 43240, 9039, 104662, 198, 365, 441, 8480, 198, 83354, 121302, 121930, 107118, 5486, 43240, 9039, 104662, 26854, 105272, 9174, 108010, 30297, 57980, 1811, 121302, 121930, 107118, 121568, 121930, 26854, 105272, 55031, 5486, 43240, 9039, 104662, 16144, 53229, 22649, 19732, 83747, 9039, 105647, 10110, 83747, 9039, 30046, 120732, 112607, 60632, 29295, 100543, 249, 16555, 122, 39926, 15682, 105110, 100604, 113334, 9174, 31634, 54926, 20230, 101832, 5486, 43240, 9039, 104662, 16144, 53229, 22649, 19732, 83747, 9039, 105647, 16144, 112607, 60632, 29295, 100543, 249, 16555, 122, 112990, 121302, 121930, 15682, 13153, 31431, 80195, 28713, 100604, 102189, 57980, 9174, 43240, 9039, 104662, 29295, 121302, 121930, 36785, 105321, 100481, 103836, 116537, 31809, 106718, 25129, 108995, 101832, 9174, 112672, 108948, 25580, 33503, 15682, 121302, 121930, 16144, 53229, 22649, 71289, 53229, 108630, 104309, 15682, 48864, 108710, 21105, 103, 16995, 123794, 11571, 99849, 72342, 102433, 17792, 111769, 105272, 55031, 101832, 9174, 83354, 13177, 83747, 9039, 105647, 10110, 83747, 9039, 30046, 120732, 112607, 60632, 66383, 71289, 33503, 29295, 5486, 121302, 121930, 16144, 106391, 13153, 53229, 22649, 117282, 109335, 43568, 16995, 102189, 57980, 9174, 100525, 226, 101067, 15682, 116414, 103296, 23039, 114598, 100525, 226, 101067, 113461, 57980, 9174, 33334, 25580, 15682, 102433, 29504, 107063, 110, 25333, 30512, 53283, 110104, 113334, 9174, 121302, 121930, 107118, 121568, 121930, 126529, 101832, 1811, 56051, 29295, 76947, 5486, 27452, 58942, 83747, 9039, 105647, 127303, 103950, 29295, 29504, 70821, 15682, 121568, 103306, 113797, 30358, 84389, 123207, 105110, 100604, 102189, 57980, 9174, 102433, 17792, 28190, 30512, 39926, 102433, 16556, 123726, 38144, 23039, 47884, 105879, 30591, 104984, 5486, 107063, 110, 25333, 1032, 40089, 127253, 717, 40089, 5486, 1313, 40089, 5486, 1682, 40089, 30512, 57980, 11972, 47884, 98499, 64121, 17129, 109954, 101832, 9174, 108936, 106222, 20230, 102572, 102532, 43240, 9039, 104662, 15682, 121302, 121930, 36785, 114016, 78244, 107462, 104533, 49838, 126832, 57980, 9174, 43240, 9039, 104662, 15682, 43240, 9039, 112919, 114363, 44416, 30512, 21990, 100204, 107726, 38144, 83747, 9039, 105647, 16144, 112607, 60632, 30512, 117976, 104698, 39926, 114732, 105908, 101182, 102189, 57980, 9174, 85701, 77181, 121302, 121930, 15682, 13153, 31431, 80195, 28713, 100604, 113334, 109860, 5486, 83747, 9039, 105647, 16144, 112607, 60632, 30512, 106154, 30369, 109215, 107407, 113334, 9174, 121302, 121930, 29504, 107118, 102159, 114754, 17792, 103306, 123726, 38144, 23039, 47884, 124122, 119046, 33014, 113461, 108422, 1811, 57980, 76947, 5486, 43240, 9039, 104662, 16556, 102159, 114754, 17792, 103306, 123726, 38144, 23039, 47884, 112607, 60632, 30512, 127696, 76947, 112987, 124324, 102189, 108422, 9174, 15120, 9080, 16325, 114387, 110229, 109156, 31431, 27699, 116, 103836, 88399, 229, 107407, 16144, 105110, 5486, 121302, 121930, 16144, 75146, 17920, 236, 53283, 109375, 25129, 15682, 48864, 108710, 56051, 17129, 58942, 9174, 83354, 76947, 108948, 123628, 29504, 104446, 120268, 104575, 16556, 43240, 9039, 104662, 108710, 78183, 25827, 104865, 95532, 126843, 5486, 121302, 44416, 29295, 30832, 64467, 17663, 104468, 37087, 38093, 15120, 105260, 36785, 102677, 106592, 119852, 33334, 47884, 57980, 9174, 33334, 25580, 15682, 102433, 16144, 104378, 114475, 76622, 126386, 55031, 118522, 16144, 103005, 55228, 231, 16144, 115552, 30512, 53283, 110104, 113334, 9174, 118522, 16144, 103005, 55228, 231, 107118, 118522, 16144, 60632, 105576, 30512, 64467, 17663, 102189, 108422, 9174, 17792, 112607, 19732, 17792, 112607, 15682, 59614, 101860, 127852, 104584, 54926, 102944, 109846, 112160, 24273, 110366, 29295, 43240, 9039, 16144, 48634, 113468, 112607, 60632, 30512, 33035, 102131, 19732, 126693, 5486, 108031, 15120, 24273, 16144, 83747, 9039, 105647, 16144, 112607, 60632, 15682, 44416, 103664, 116216, 114732, 102189, 57980, 9174, 85701, 77181, 118522, 16144, 60632, 105576, 101983, 110104, 113334, 109860, 112160, 24273, 110366, 16144, 112607, 60632, 103378, 29295, 104736, 62004, 110071, 121894, 30512, 118522, 16144, 103005, 55228, 231, 20230, 95543, 112990, 112844, 102189, 108422, 9174, 77181, 120953, 126693, 118522, 16144, 60632, 105576, 108176, 104865, 19732, 78244, 116285, 5486, 105564, 64121, 108385, 30369, 67016, 100604, 102189, 57980, 9174, 100525, 98, 108975, 39926, 105564, 64121, 108385, 30369, 105908, 118522, 16144, 103005, 55228, 231, 5486, 59739, 109709, 118522, 16144, 60632, 105576, 113461, 108422, 9174, 27452, 116285, 26854, 5486, 43240, 9039, 105647, 16144, 37689, 91774, 30512, 33035, 102131, 117408, 100909, 113468, 106222, 9554, 112294, 30046, 29295, 125174, 15017, 101, 38144, 110071, 127749, 20230, 14309, 98, 30369, 125396, 29295, 126574, 107803, 5486, 43240, 9039, 105647, 15682, 115364, 60632, 105576, 30512, 101890, 254, 17044, 110, 116446, 17129, 72661, 106222, 9554, 112294, 30046, 30512, 123050, 54926, 121507, 123410, 105908, 101182, 102189, 57980, 9174, 31634, 54926, 20230, 5486, 118522, 16144, 103005, 55228, 231, 20230, 103721, 233, 29295, 30369, 121507, 123410, 102189, 57980, 1811, 99849, 104604, 105110, 108048, 29295, 45163, 110782, 20230, 115364, 60632, 105576, 108176, 55031, 36785, 9174, 105184, 111201, 5486, 114640, 122074, 16144, 46034, 106307, 50834, 15682, 43240, 9039, 104662, 127303, 114598, 5486, 83747, 9039, 105647, 16144, 112607, 60632, 30512, 123050, 54926, 121507, 123410, 106592, 44620, 83747, 9039, 104662, 36761, 19732, 112844, 113334, 9174, 37046, 104680, 102433, 116537, 101832, 5486, 107063, 110, 25333, 20230, 105037, 111, 78183, 115032, 108729, 104123, 112607, 16144, 113797, 30358, 30512, 113954, 103792, 55031, 5486, 43240, 119064, 75267, 28190, 16556, 83747, 9039, 104662, 117824, 103836, 102189, 57980, 9174, 33334, 25580, 120577, 43240, 9039, 104662, 16144, 126067, 15682, 104284, 43514, 109972, 76622, 116787, 5486, 104662, 39926, 83747, 9039, 16144, 112294, 112919, 112607, 60632, 30512, 123050, 119607, 107118, 21105, 103, 16995, 113334, 9174, 31634, 54926, 20230, 108948, 25580, 120577, 113727, 15682, 60632, 101923, 121930, 116787, 5486, 121302, 121930, 16144, 121568, 121930, 107118, 37087, 47884, 103283, 16144, 118729, 113461, 57980, 9174, 83747, 9039, 105647, 124911, 112607, 29295, 117976, 104698, 84389, 111243, 108048, 15682, 43240, 9039, 104662, 16144, 113702, 109860, 106548, 24273, 119703, 19732, 112844, 117694, 15682, 5486, 121302, 121930, 30512, 37087, 47884, 53283, 110104, 117694, 16144, 102404, 78244, 109860, 101832, 9174, 83354, 122582, 43240, 9039, 104662, 36785, 1811, 39880, 103927, 9174, 118116, 101832, 5486, 37087, 38093, 15120, 105260, 30512, 53229, 108630, 114267, 104662, 104760, 117824, 30297, 107803, 112160, 59739, 72661, 95543, 103359, 37689, 91774, 29295, 30591, 104984, 107624, 104662, 16937, 116166, 108176, 113334, 9174, 43240, 9039, 104662, 15682, 101832, 5486, 37689, 91774, 125001, 47884, 59739, 111201, 17620, 32149, 103468, 126101, 83812, 249, 13153, 112919, 127181, 37689, 91774, 30512, 118935, 11883, 54926, 107624, 104662, 16144, 100909, 116787, 5486, 37087, 38093, 15120, 105260, 107118, 37087, 47884, 108901, 109020, 107624, 104662, 41007, 113461, 57980, 9174, 27452, 116285, 5486, 32149, 59739, 38144, 127123, 89046, 107808, 102677, 127123, 121606, 29295, 30591, 76947, 101832, 5486, 89046, 107808, 16144, 104662, 104760, 15682, 37087, 38093, 15120, 105260, 30512, 25580, 29172, 114267, 107624, 104662, 29295, 23039, 123671, 101732, 113009, 53953, 30926, 29295, 16325, 104680, 104662, 17129, 110104, 30926, 107328, 20230, 14309, 98, 30369, 105908, 43240, 102518, 113334, 9174, 127123, 89046, 40862, 102677, 127123, 121606, 29295, 19967, 109115, 104983, 20230, 5486, 127123, 89046, 107808, 29295, 121432, 103082, 104435, 113385, 16144, 37087, 38093, 15120, 105260, 102677, 107624, 104662, 41007, 126194, 5486, 43240, 9039, 104662, 102677, 107624, 104662, 41007, 30512, 118935, 11883, 56051, 102189, 57980, 9174, 37087, 38093, 15120, 105260, 19732, 43240, 9039, 104662, 16144, 121953, 15682, 113954, 103082, 28713, 95532, 121302, 121930, 15682, 121568, 121930, 116787, 5486, 83747, 9039, 105647, 16144, 102159, 114754, 125174, 15017, 101, 38144, 110071, 105908, 30591, 76947, 15682, 105110, 100604, 105272, 55031, 37087, 38093, 15120, 105260, 30512, 53229, 108630, 117408, 103854, 112495, 105272, 29295, 5486, 48249, 109115, 82973, 16556, 53953, 30926, 30512, 122074, 54926, 126513, 109431, 102769, 26854, 107624, 104662, 41007, 107118, 78244, 119841, 102189, 57980, 9174, 109860, 5486, 38093, 104760, 20230, 102572, 105784, 104662, 104760, 15682, 43240, 9039, 104662, 30512, 118935, 11883, 54926, 107803, 29295, 127181, 105272, 29295, 5486, 43240, 9039, 112919, 114363, 44416, 30512, 21990, 100204, 107726, 38144, 83747, 9039, 105647, 16144, 112607, 60632, 30512, 117976, 104698, 39926, 114732, 109335, 110008, 84389, 100604, 113334, 9174, 109860, 43240, 119064, 75267, 28190, 16556, 83747, 9039, 104662, 29295, 23039, 78183, 115032, 102189, 57980, 1811, 43240, 9039, 104662, 15682, 104662, 39926, 104284, 43514, 109972, 76622, 126194, 5486, 83747, 9039, 30046, 15682, 43240, 9039, 30046, 20230, 123532, 58942, 102677, 102944, 111769, 102189, 57980, 9174, 43240, 9039, 104662, 30512, 53283, 110104, 103803, 115933, 29295, 107991, 120266, 84150, 244, 61994, 114267, 29295, 5486, 43240, 9039, 104662, 16144, 115552, 32977, 53283, 121140, 20230, 13177, 121302, 121930, 107118, 5486, 43240, 9039, 104662, 26854, 105272, 66383, 119852, 114732, 120266, 121602, 102334, 57980, 9174, 83354, 37087, 38093, 15120, 105260, 105110, 108048, 29295, 43240, 9039, 16144, 37689, 91774, 103306, 118935, 11883, 107001, 102189, 57980, 9174, 15682, 30591, 11571, 33334, 25580, 5486, 53900, 53900, 71289, 120240, 117864, 26854, 9174, 37087, 38093, 15120, 105260, 102677, 126067, 102052, 43240, 9039, 32977, 83747, 9039, 32977, 48706, 21105, 103, 16995, 102189, 57980, 9174, 64121, 104043, 126758, 120267, 117735, 30512, 119852, 25827, 104446, 101832, 38248, 230, 1811, 43240, 9039, 104662, 16144, 115552, 30512, 53283, 110104, 117694, 29295, 51330, 101083, 20230, 16995, 104533, 15682, 121602, 50834, 120572, 9174, 37087, 38093, 15120, 105260, 19732, 43240, 9039, 104662, 15682, 42016, 104577, 118816, 112844, 117694, 15682, 5486, 102616, 16325, 16556, 33334, 25580, 103378, 36785, 9174, 118116, 26854, 5486, 121302, 121930, 15682, 121568, 121930, 104604, 20230, 37087, 38093, 15120, 105260, 30512, 30832, 64467, 39926, 104760, 105242, 30512, 21105, 103, 118145, 105110, 100604, 16144, 101832, 9174, 37087, 38093, 15120, 105260, 20230, 57237, 33503, 104435, 107803, 20230, 48249, 31431, 123334, 104004, 30512, 50928, 101860, 43240, 9039, 104662, 111848, 107624, 104662, 117824, 30297, 102189, 57980, 9174, 43240, 9039, 16144, 103359, 80195, 126067, 15682, 83747, 9039, 120572, 1811, 72661, 26854, 5486, 37087, 38093, 15120, 105260, 102052, 15120, 118821, 95543, 103359, 37689, 91774, 32977, 48706, 21105, 103, 16995, 29295, 5486, 43240, 9039, 104662, 102052, 83812, 249, 33476, 110176, 105242, 29295, 48706, 54926, 113334, 109860, 5486, 37087, 38093, 15120, 105260, 19732, 43240, 9039, 104662, 15682, 119045, 112535, 108901, 109020, 126067, 113461, 57980, 9174, 101083, 56965, 16556, 37087, 38093, 15120, 105260, 19732, 43240, 9039, 104662, 15682, 112361, 118816, 119852, 48154, 33503, 25827 ]
[ 1811, 31809, 106718, 20230, 64467, 30512, 64467, 116216, 27384, 49838, 16995, 107001, 108422, 1811, 128001, 128000, 12, 426, 25287, 57942, 251, 114052, 110698, 47000, 35330, 109311, 32018, 26450, 198, 12, 107879, 99, 47000, 35330, 29295, 46456, 110698, 107001, 77195, 198, 110698, 47000, 35330, 29295, 46456, 110698, 107001, 77195, 19732, 109544, 198, 2, 107879, 99, 47000, 35330, 29295, 46456, 110698, 107001, 77195, 198, 33, 25287, 57942, 251, 114052, 16144, 110698, 47000, 35330, 29295, 46456, 110698, 107001, 102052, 5486, 109215, 19732, 107001, 77195, 10110, 31634, 14558, 102083, 61689, 7705, 115991, 33541, 1811, 90620, 15024, 5486, 31634, 14558, 15682, 111573, 99750, 108208, 19732, 103760, 45829, 99750, 108208, 123160, 41920, 33671, 99750, 108208, 19732, 113468, 100909, 26854, 31431, 33541, 1811, 110382, 77181, 108048, 108422, 33121, 16144, 31634, 14558, 109853, 78183, 107441, 5486, 17620, 107277, 126172, 47884, 122984, 78434, 9174, 567, 101961, 33671, 99750, 108208, 112919, 107803, 198, 103760, 45829, 99750, 108208, 123160, 41920, 33671, 99750, 108208, 126194, 5486, 48154, 22656, 114754, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 16556, 33, 25287, 57942, 251, 114052, 20230, 99750, 108208, 56051, 107803, 5486, 110698, 47000, 114475, 105784, 20230, 30591, 28713, 76947, 5486, 33671, 16144, 20, 118821, 31634, 14558, 115991, 33541, 1811, 43514, 26854, 64121, 20230, 5486, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 16144, 13177, 50667, 10646, 15682, 5486, 43167, 108638, 103911, 103181, 30177, 104091, 19732, 103223, 115882, 107167, 16073, 95543, 106608, 111800, 112984, 16144, 106592, 64467, 78434, 9174, 14711, 43444, 16, 7705, 124944, 25287, 57942, 251, 114052, 65299, 106696, 22398, 20230, 69978, 106307, 99750, 108208, 103792, 100909, 198, 69978, 106307, 99750, 108208, 107118, 5486, 65299, 106696, 22398, 29295, 61056, 20834, 84389, 101860, 20230, 99750, 108208, 121894, 29295, 106307, 119188, 106592, 16995, 61689, 29295, 5486, 33, 25287, 57942, 251, 114052, 126014, 29245, 253, 77181, 5486, 124944, 25287, 57942, 251, 114052, 65299, 106696, 22398, 29295, 21, 113746, 71689, 20230, 104473, 107654, 16144, 26854, 111201, 107991, 106592, 16995, 61689, 9174, 14711, 43444, 17, 7705, 112624, 66224, 97049, 108176, 103296, 20230, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 114475, 76622, 100934, 100909, 198, 43167, 108638, 103911, 103181, 30177, 104091, 9458, 103223, 115882, 107167, 16073, 95543, 106608, 111800, 112984, 114475, 107674, 100909, 111848, 102944, 103195, 106592, 20379, 78434, 9174, 14711, 43444, 18, 7705, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 122692, 26130, 105644, 32648, 16144, 89046, 106307, 38129, 122291, 100909, 198, 26130, 105644, 32648, 16144, 33655, 16995, 18904, 21105, 234, 113385, 103195, 106592, 20379, 78434, 9174, 14711, 43444, 19, 7705, 103760, 45829, 99750, 108208, 16556, 100604, 100909, 198, 103760, 45829, 99750, 108208, 104309, 41920, 33671, 99750, 108208, 111769, 106592, 20379, 78434, 9174, 14711, 43444, 20, 7705, 114950, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 116749, 16144, 99750, 108208, 113385, 119703, 100909, 198, 43167, 108638, 103911, 103181, 30177, 104091, 9458, 103223, 115882, 107167, 16073, 95543, 106608, 111800, 112984, 116749, 16144, 113385, 16556, 99750, 108208, 109768, 100604, 106592, 20379, 78434, 9174, 567, 104465, 33671, 99750, 108208, 112919, 107803, 198, 14711, 43444, 16, 7705, 41920, 33671, 99750, 108208, 112919, 103760, 106759, 29295, 111573, 99750, 108208, 112919, 31634, 14558, 30512, 112624, 28713, 17663, 100909, 198, 114715, 17620, 107277, 20230, 47884, 16995, 119627, 5486, 103760, 106759, 55031, 33, 25287, 57942, 251, 114052, 20230, 99750, 108208, 56051, 41920, 33671, 99750, 108208, 30046, 103195, 106592, 20379, 17663, 102052, 5486, 126843, 15682, 103760, 106759, 29295, 111573, 99750, 108208, 30046, 103195, 106592, 20379, 17663, 109215, 115991, 33541, 9174, 14711, 43444, 17, 7705, 41920, 33671, 99750, 108208, 30046, 29295, 69978, 106307, 99750, 108208, 103792, 100909, 198, 111573, 99750, 108208, 16144, 107803, 19732, 42016, 103826, 20230, 5486, 124944, 25287, 57942, 251, 114052, 65299, 106696, 22398, 29295, 21, 113746, 71689, 20230, 104473, 107654, 16144, 26854, 111201, 107991, 106592, 16995, 61689, 9174, 14711, 43444, 18, 7705, 103760, 45829, 99750, 108208, 103195, 100909, 198, 20834, 21990, 74245, 123090, 99750, 108208, 107113, 100909, 71289, 104473, 107654, 111800, 112984, 30512, 33035, 100204, 38144, 127862, 33671, 99750, 108208, 103195, 106592, 20379, 78434, 9174, 33671, 20230, 115847, 120577, 31634, 14558, 77693, 108422, 33121, 16144, 107803, 16556, 5486, 109311, 32018, 20230, 109215, 26854, 102181, 104770, 109853, 48154, 122984, 78434, 1811, 33, 25287, 57942, 251, 114052, 110698, 47000, 35330, 109311, 32018, 20230, 109215, 26854, 109544, 198, 39850, 78683, 109496, 198, 12, 426, 25287, 57942, 251, 114052, 110698, 47000, 35330, 26450, 198, 12, 426, 25287, 57942, 251, 114052, 110698, 47000, 35330, 109311, 32018, 20230, 109215, 26854, 109544, 198, 12, 426, 25287, 57942, 251, 114052, 126014, 29245, 253, 16144, 102181, 104770, 43167, 62004, 198, 12, 86222, 104662, 30926, 27452, 198, 12, 110758, 111813, 30926, 27452, 198, 12, 33281, 121, 21601, 110698, 47000, 35330, 109311, 32018, 109853, 198, 12, 220, 48154, 115514, 71869, 111363, 110698, 47000, 198, 12, 426, 25287, 57942, 251, 114052, 65299, 106696, 117718, 43568, 111571, 103550, 34171, 107391, 104612, 198, 12, 426, 25287, 57942, 251, 114052, 126014, 29245, 253, 16144, 114652, 101182, 105284, 99397, 198, 33, 25287, 57942, 251, 114052, 30512, 50520, 111, 106624, 53283, 30369, 198, 99849, 27479, 72661, 92693, 50021, 111813, 6109, 120999, 1187, 82973, 101682, 47000, 198, 50021, 111813, 92693, 198, 33, 25287, 57942, 251, 114052, 110698, 47000, 35330, 109311, 32018, 16144, 48154, 50021, 111813, 15682, 111717, 117271, 9174, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 1811, 128001, 128000, 10110, 117039, 16144, 107391, 57326, 104272, 15682, 78525, 103202, 126101, 52563, 84389, 33541, 23954, 27704, 109709, 15682, 68759, 25197, 110305, 52884, 77750, 198, 103350, 15682, 89408, 16144, 105140, 5486, 28741, 111201, 70090, 16144, 127178, 116690, 30046, 71289, 106581, 112686, 123050, 20230, 123532, 30926, 54926, 17792, 104680, 30512, 105522, 240, 29295, 72342, 28713, 58721, 107407, 109900, 15682, 36896, 105600, 102512, 8676, 105, 23226, 67178, 82420, 55723, 10646, 36785, 9174, 30926, 16144, 102404, 79982, 15682, 127359, 25197, 110305, 52884, 77750, 17905, 16556, 125053, 103646, 36896, 105600, 102512, 8676, 105, 118587, 41758, 26269, 105621, 100560, 237, 25197, 91062, 58666, 103991, 104517, 16144, 70090, 17620, 104517, 124259, 23226, 67178, 54926, 57326, 93488, 109853, 16144, 102181, 50834, 121423, 109807, 102181, 50834, 121423, 20230, 110456, 106266, 114475, 107674, 70090, 106581, 112686, 123050, 120690, 16144, 113160, 49988, 30046, 29295, 125053, 56051, 77219, 29295, 108149, 43514, 22957, 43514, 124259, 108436, 37705, 84389, 5486, 103682, 27869, 233, 30512, 105324, 102189, 9174, 58426, 105856, 106053, 30512, 31634, 103664, 126693, 36896, 123050, 107001, 106581, 112686, 127178, 16144, 123274, 16556, 123050, 113173, 116749, 16144, 123079, 23039, 101399, 30512, 108493, 100204, 30369, 44620, 17161, 53953, 123050, 25333, 36761, 108010, 95543, 5486, 105600, 102512, 8676, 105, 16144, 114172, 102512, 9554, 5486, 117813, 103991, 9554, 95001, 112603, 113115, 54926, 117976, 109373, 5486, 114172, 102512, 9554, 103087, 39084, 16144, 110993, 79982, 26854, 33420, 106382, 5486, 80539, 5486, 106581, 112686, 16144, 22324, 32149, 104028, 35894, 56965, 15682, 5486, 107277, 20230, 77693, 29295, 44620, 35894, 36761, 127303, 114598, 5486, 121995, 55723, 16144, 35894, 101828, 19732, 112361, 104466, 115552, 115991, 5486, 21555, 96, 37689, 112535, 123653, 107436, 15682, 105110, 100604, 66383, 95604, 102944, 36785, 9174, 27929, 32977, 27929, 32977, 41758, 26269, 105621, 100560, 237, 25197, 91062, 58666, 103991, 104517, 29295, 70090, 20230, 17620, 104517, 30512, 26892, 125655, 102677, 82420, 55723, 15682, 5486, 60596, 8107, 25580, 5486, 127123, 109904, 39880, 84477, 124011, 67075, 124259, 102404, 77413, 30512, 106307, 76622, 101732, 26519, 117813, 103991, 24775, 30512, 107875, 55038, 20230, 13177, 161, 19044, 117503, 83799, 16556, 108285, 29295, 31431, 5486, 101083, 30512, 105522, 240, 29295, 72342, 28713, 105908, 101182, 109807, 74482, 5486, 123079, 103550, 111983, 30590, 15682, 26519, 55031, 104604, 106496, 20230, 37795, 96, 30177, 54926, 5486, 105600, 102512, 8676, 105, 15120, 115351, 124259, 60634, 100472, 1811, 105600, 102512, 8676, 105, 107118, 5486, 31958, 80866, 113146, 20230, 103293, 120998, 116690, 16144, 107693, 26854, 102181, 108847, 71289, 17161, 102181, 29295, 33563, 36651, 103646, 116245, 36785, 124192, 39177, 5486, 57326, 93488, 126694, 13153, 56051, 104468, 5486, 102700, 13372, 26854, 68408, 103988, 25197, 96452, 115247, 111412, 45048, 10110, 115478, 9458, 99695, 25197, 7705, 58, 45048, 15682, 35330, 10, 107517, 16144, 59739, 47884, 31431, 60, 1811, 70090, 90962, 107805, 70563, 48552, 16556, 119526, 40452, 120690, 103306, 76706, 109526, 235, 56051, 13177, 68408, 76428, 122258, 9458, 70090, 117503, 113404, 30046, 103306, 53283, 110071, 68408, 103988, 25197, 118567, 36785, 1811, 105514, 15682, 58666, 103991, 104517, 68408, 126590, 20230, 107188, 111331, 106613, 111186, 16144, 105623, 226, 108882, 115991, 5486, 119365, 5486, 72368, 70277, 45144, 108, 5486, 14276, 122704, 104309, 16556, 58666, 103991, 104517, 30512, 46034, 115856, 76622, 100934, 109807, 103846, 5486, 679, 15, 116358, 105117, 78349, 102750, 103223, 57183, 39880, 9458, 91482, 76739, 16073, 96452, 117163, 16144, 59795, 104517, 30512, 46034, 115856, 105784, 104309, 5486, 58666, 103991, 116690, 112919, 22023, 103192, 32977, 112950, 16995, 1811, 67016, 32977, 41758, 26269, 105621, 100560, 237, 25197, 91062, 110792, 47260, 32131, 103672, 15682, 85707, 107436, 126194, 5486, 112599, 103031, 29295, 68408, 126590, 56051, 39880, 52884, 99959, 91482, 16144, 41758, 26269, 105621, 100560, 237, 25197, 91062, 58666, 103991, 104517, 16144, 123079, 29295, 116748, 16325, 36785, 9174, 37271, 18904, 116882, 30046, 29295, 121602, 102334, 104468, 5486, 32149, 59739, 38144, 111412, 105514, 20230, 116718, 26854, 124773, 91482, 109496, 117824, 76947, 123434, 5486, 111412, 113115, 15024, 5486, 104004, 15024, 85791, 13177, 102491, 16995, 104773, 105360, 64121, 71289, 108044, 105156, 109904, 26892, 53953, 30512, 21990, 32149, 56051, 88356, 21990, 10646, 20230, 108167, 103214, 104004, 68408, 103988, 25197, 118567, 103195, 5486, 102677, 104371, 47523, 30512, 108623, 102532, 105898, 55031, 103195, 1811, 102700, 13372, 26854, 102321, 31640, 39880, 84477, 19967, 46729, 5486, 107139, 94, 29504, 104195, 16144, 64803, 40862, 94923, 30512, 23226, 67178, 56051, 57326, 93488, 77181, 5486, 103868, 78183, 16995, 101182, 102491, 16995, 111999, 102472, 110426, 30512, 121247, 30297, 104983, 112160, 27479, 50338, 33014, 56051, 74482, 5486, 111983, 104195, 21105, 97, 59739, 108031, 127637, 112361, 111999, 102472, 30512, 15120, 59739, 15120, 59739, 108882, 64121, 74245, 17663, 102677, 46034, 25333, 103296, 11883, 119188, 9174, 32149, 59739, 38144, 116882, 30046, 29295, 41758, 26269, 105621, 100560, 237, 25197, 91062, 16144, 107420, 109531, 110548, 109853, 124118, 101832, 28713, 39177, 32977, 106116, 123079, 103911, 23187, 30590, 109853, 36896, 105600, 102512, 8676, 105, 111769, 112130, 91006, 19732, 124118, 101832, 104533, 36896, 114774, 121906, 111769, 66383, 50834, 112043, 31431, 64889, 78244, 15024, 5486, 106581, 112686, 103195, 13177, 105600, 102512, 8676, 105, 10646, 15682, 91875, 32149, 30813, 100604, 5486, 102677, 107608, 16995, 104662, 37689, 30512, 20379, 107113, 9174, 111179, 102532, 33420, 105262, 127178, 53953, 198, 99849, 15682, 107173, 30591, 33121, 110371, 105933, 16937, 105184, 103350, 32149, 59739, 39442, 114140, 16144, 108134, 20230, 75146, 109669, 102334, 110674, 5486, 105242, 29295, 103188, 106266, 33208, 54926, 109335, 5486, 32977, 107173, 19732, 112909, 102971, 103854, 28713, 116497, 16144, 106581, 112686, 123050, 116690, 30046, 19732, 123050, 30512, 25580, 29172, 114267, 68408, 126590, 117824, 30297, 68408, 103988, 25197, 118567, 110792, 56965, 16144, 106627, 56965, 105352, 59739, 105722, 31431, 5486, 113702, 103306, 15682, 5486, 104662, 39926, 106581, 112686, 16144, 123050, 20230, 19361, 60632, 107118, 105110, 100604, 9174, 110924, 16556, 111412, 105514, 20230, 124773, 91482, 109496, 30512, 102782, 15024, 104526, 104004, 19732, 5486, 107420, 109531, 110548, 16144, 89151, 42891, 32335, 16325, 102677, 100909, 38641, 104699, 102052, 43568, 22649, 103351, 29295, 5486, 9039, 111299, 56965, 123090, 106608, 100204, 38144, 122396, 9174, 105514, 103732, 104984, 5486, 107420, 109531, 110548, 15682, 5486, 1049, 22, 116033, 41758, 26269, 105621, 100560, 237, 25197, 91062, 16144, 22649, 30926, 101544, 103351, 42493, 432, 13, 735, 78440, 105514, 29295, 121355, 107430, 56051, 74482, 5486, 103350, 104983, 15682, 122434, 15024, 5486, 101828, 112810, 20230, 114941, 100472, 5486, 102677, 109807, 74482, 5486, 70090, 20230, 41758, 26269, 105621, 100560, 237, 25197, 91062, 29295, 17620, 104517, 30512, 26892, 125655, 102677, 82420, 55723, 37026, 33014, 29295, 118013, 33420, 58942, 110276, 9174, 53900, 5486, 27929, 32977, 27929, 102944, 111412, 105514, 16144, 68408, 126590, 9458, 57326, 93488, 116446, 32977, 5486, 106581, 112686, 16144, 123050, 20230, 112366, 48249, 16144, 121837, 30512, 26130, 16995, 36785, 102944, 103195, 109335, 107750, 16995, 30512, 17701, 110615, 109807, 57326, 93488, 107118, 5486, 41642, 116310, 16144, 105600, 102512, 8676, 105, 16144, 101182, 121536, 30590, 16144, 35894, 50834, 30590, 20230, 5486, 30590, 28190, 55031, 111179, 102334, 83799, 16144, 102321, 31640, 9554, 127178, 53953, 126694, 31431, 5486, 24186, 104680, 16144, 105600, 102512, 8676, 105, 16144, 26892, 53953, 102052, 112909, 21601, 119841, 67645, 107404, 32149, 5486, 110426, 32977, 107918, 32977, 30177, 21105, 103, 16995, 102677, 102944, 1811, 17039, 102800, 127178, 53953, 15682, 105600, 102512, 8676, 105, 16144, 49409, 110366, 19732, 59563, 110366, 16144, 35894, 56965, 30512, 108928, 109315, 29295, 5486, 59563, 110366, 15682, 27929, 32977, 27929, 32977, 29295, 109242, 9039, 16144, 101083, 115351, 29295, 101987, 104004, 122202, 104157, 30590, 115351, 36785, 1811, 67016, 32977, 5486, 123079, 20230, 30591, 28713, 76947, 15682, 5486, 26892, 103234, 15682, 127177, 116245, 16556, 19967, 31431, 108048, 30512, 102321, 30590, 16556, 103214, 64121, 121697, 38144, 26892, 125655, 105908, 101067, 23187, 84389, 101732, 1811, 59739, 109709, 121453, 102800, 127178, 53953, 107118, 16995, 58942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1811, 31809, 106718, 20230, 64467, 30512, 64467, 116216, 27384, 49838, 16995, 107001, 108422, 1811, 128001, 128000, 12, 426, 25287, 57942, 251, 114052, 110698, 47000, 35330, 109311, 32018, 26450, 198, 12, 107879, 99, 47000, 35330, 29295, 46456, 110698, 107001, 77195, 198, 110698, 47000, 35330, 29295, 46456, 110698, 107001, 77195, 19732, 109544, 198, 2, 107879, 99, 47000, 35330, 29295, 46456, 110698, 107001, 77195, 198, 33, 25287, 57942, 251, 114052, 16144, 110698, 47000, 35330, 29295, 46456, 110698, 107001, 102052, 5486, 109215, 19732, 107001, 77195, 10110, 31634, 14558, 102083, 61689, 7705, 115991, 33541, 1811, 90620, 15024, 5486, 31634, 14558, 15682, 111573, 99750, 108208, 19732, 103760, 45829, 99750, 108208, 123160, 41920, 33671, 99750, 108208, 19732, 113468, 100909, 26854, 31431, 33541, 1811, 110382, 77181, 108048, 108422, 33121, 16144, 31634, 14558, 109853, 78183, 107441, 5486, 17620, 107277, 126172, 47884, 122984, 78434, 9174, 567, 101961, 33671, 99750, 108208, 112919, 107803, 198, 103760, 45829, 99750, 108208, 123160, 41920, 33671, 99750, 108208, 126194, 5486, 48154, 22656, 114754, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 16556, 33, 25287, 57942, 251, 114052, 20230, 99750, 108208, 56051, 107803, 5486, 110698, 47000, 114475, 105784, 20230, 30591, 28713, 76947, 5486, 33671, 16144, 20, 118821, 31634, 14558, 115991, 33541, 1811, 43514, 26854, 64121, 20230, 5486, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 16144, 13177, 50667, 10646, 15682, 5486, 43167, 108638, 103911, 103181, 30177, 104091, 19732, 103223, 115882, 107167, 16073, 95543, 106608, 111800, 112984, 16144, 106592, 64467, 78434, 9174, 14711, 43444, 16, 7705, 124944, 25287, 57942, 251, 114052, 65299, 106696, 22398, 20230, 69978, 106307, 99750, 108208, 103792, 100909, 198, 69978, 106307, 99750, 108208, 107118, 5486, 65299, 106696, 22398, 29295, 61056, 20834, 84389, 101860, 20230, 99750, 108208, 121894, 29295, 106307, 119188, 106592, 16995, 61689, 29295, 5486, 33, 25287, 57942, 251, 114052, 126014, 29245, 253, 77181, 5486, 124944, 25287, 57942, 251, 114052, 65299, 106696, 22398, 29295, 21, 113746, 71689, 20230, 104473, 107654, 16144, 26854, 111201, 107991, 106592, 16995, 61689, 9174, 14711, 43444, 17, 7705, 112624, 66224, 97049, 108176, 103296, 20230, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 114475, 76622, 100934, 100909, 198, 43167, 108638, 103911, 103181, 30177, 104091, 9458, 103223, 115882, 107167, 16073, 95543, 106608, 111800, 112984, 114475, 107674, 100909, 111848, 102944, 103195, 106592, 20379, 78434, 9174, 14711, 43444, 18, 7705, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 122692, 26130, 105644, 32648, 16144, 89046, 106307, 38129, 122291, 100909, 198, 26130, 105644, 32648, 16144, 33655, 16995, 18904, 21105, 234, 113385, 103195, 106592, 20379, 78434, 9174, 14711, 43444, 19, 7705, 103760, 45829, 99750, 108208, 16556, 100604, 100909, 198, 103760, 45829, 99750, 108208, 104309, 41920, 33671, 99750, 108208, 111769, 106592, 20379, 78434, 9174, 14711, 43444, 20, 7705, 114950, 43167, 108638, 103911, 103181, 30177, 104091, 50667, 116749, 16144, 99750, 108208, 113385, 119703, 100909, 198, 43167, 108638, 103911, 103181, 30177, 104091, 9458, 103223, 115882, 107167, 16073, 95543, 106608, 111800, 112984, 116749, 16144, 113385, 16556, 99750, 108208, 109768, 100604, 106592, 20379, 78434, 9174, 567, 104465, 33671, 99750, 108208, 112919, 107803, 198, 14711, 43444, 16, 7705, 41920, 33671, 99750, 108208, 112919, 103760, 106759, 29295, 111573, 99750, 108208, 112919, 31634, 14558, 30512, 112624, 28713, 17663, 100909, 198, 114715, 17620, 107277, 20230, 47884, 16995, 119627, 5486, 103760, 106759, 55031, 33, 25287, 57942, 251, 114052, 20230, 99750, 108208, 56051, 41920, 33671, 99750, 108208, 30046, 103195, 106592, 20379, 17663, 102052, 5486, 126843, 15682, 103760, 106759, 29295, 111573, 99750, 108208, 30046, 103195, 106592, 20379, 17663, 109215, 115991, 33541, 9174, 14711, 43444, 17, 7705, 41920, 33671, 99750, 108208, 30046, 29295, 69978, 106307, 99750, 108208, 103792, 100909, 198, 111573, 99750, 108208, 16144, 107803, 19732, 42016, 103826, 20230, 5486, 124944, 25287, 57942, 251, 114052, 65299, 106696, 22398, 29295, 21, 113746, 71689, 20230, 104473, 107654, 16144, 26854, 111201, 107991, 106592, 16995, 61689, 9174, 14711, 43444, 18, 7705, 103760, 45829, 99750, 108208, 103195, 100909, 198, 20834, 21990, 74245, 123090, 99750, 108208, 107113, 100909, 71289, 104473, 107654, 111800, 112984, 30512, 33035, 100204, 38144, 127862, 33671, 99750, 108208, 103195, 106592, 20379, 78434, 9174, 33671, 20230, 115847, 120577, 31634, 14558, 77693, 108422, 33121, 16144, 107803, 16556, 5486, 109311, 32018, 20230, 109215, 26854, 102181, 104770, 109853, 48154, 122984, 78434, 1811, 33, 25287, 57942, 251, 114052, 110698, 47000, 35330, 109311, 32018, 20230, 109215, 26854, 109544, 198, 39850, 78683, 109496, 198, 12, 426, 25287, 57942, 251, 114052, 110698, 47000, 35330, 26450, 198, 12, 426, 25287, 57942, 251, 114052, 110698, 47000, 35330, 109311, 32018, 20230, 109215, 26854, 109544, 198, 12, 426, 25287, 57942, 251, 114052, 126014, 29245, 253, 16144, 102181, 104770, 43167, 62004, 198, 12, 86222, 104662, 30926, 27452, 198, 12, 110758, 111813, 30926, 27452, 198, 12, 33281, 121, 21601, 110698, 47000, 35330, 109311, 32018, 109853, 198, 12, 220, 48154, 115514, 71869, 111363, 110698, 47000, 198, 12, 426, 25287, 57942, 251, 114052, 65299, 106696, 117718, 43568, 111571, 103550, 34171, 107391, 104612, 198, 12, 426, 25287, 57942, 251, 114052, 126014, 29245, 253, 16144, 114652, 101182, 105284, 99397, 198, 33, 25287, 57942, 251, 114052, 30512, 50520, 111, 106624, 53283, 30369, 198, 99849, 27479, 72661, 92693, 50021, 111813, 6109, 120999, 1187, 82973, 101682, 47000, 198, 50021, 111813, 92693, 198, 33, 25287, 57942, 251, 114052, 110698, 47000, 35330, 109311, 32018, 16144, 48154, 50021, 111813, 15682, 111717, 117271, 9174, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 1811, 128001, 128000, 10110, 117039, 16144, 107391, 57326, 104272, 15682, 78525, 103202, 126101, 52563, 84389, 33541, 23954, 27704, 109709, 15682, 68759, 25197, 110305, 52884, 77750, 198, 103350, 15682, 89408, 16144, 105140, 5486, 28741, 111201, 70090, 16144, 127178, 116690, 30046, 71289, 106581, 112686, 123050, 20230, 123532, 30926, 54926, 17792, 104680, 30512, 105522, 240, 29295, 72342, 28713, 58721, 107407, 109900, 15682, 36896, 105600, 102512, 8676, 105, 23226, 67178, 82420, 55723, 10646, 36785, 9174, 30926, 16144, 102404, 79982, 15682, 127359, 25197, 110305, 52884, 77750, 17905, 16556, 125053, 103646, 36896, 105600, 102512, 8676, 105, 118587, 41758, 26269, 105621, 100560, 237, 25197, 91062, 58666, 103991, 104517, 16144, 70090, 17620, 104517, 124259, 23226, 67178, 54926, 57326, 93488, 109853, 16144, 102181, 50834, 121423, 109807, 102181, 50834, 121423, 20230, 110456, 106266, 114475, 107674, 70090, 106581, 112686, 123050, 120690, 16144, 113160, 49988, 30046, 29295, 125053, 56051, 77219, 29295, 108149, 43514, 22957, 43514, 124259, 108436, 37705, 84389, 5486, 103682, 27869, 233, 30512, 105324, 102189, 9174, 58426, 105856, 106053, 30512, 31634, 103664, 126693, 36896, 123050, 107001, 106581, 112686, 127178, 16144, 123274, 16556, 123050, 113173, 116749, 16144, 123079, 23039, 101399, 30512, 108493, 100204, 30369, 44620, 17161, 53953, 123050, 25333, 36761, 108010, 95543, 5486, 105600, 102512, 8676, 105, 16144, 114172, 102512, 9554, 5486, 117813, 103991, 9554, 95001, 112603, 113115, 54926, 117976, 109373, 5486, 114172, 102512, 9554, 103087, 39084, 16144, 110993, 79982, 26854, 33420, 106382, 5486, 80539, 5486, 106581, 112686, 16144, 22324, 32149, 104028, 35894, 56965, 15682, 5486, 107277, 20230, 77693, 29295, 44620, 35894, 36761, 127303, 114598, 5486, 121995, 55723, 16144, 35894, 101828, 19732, 112361, 104466, 115552, 115991, 5486, 21555, 96, 37689, 112535, 123653, 107436, 15682, 105110, 100604, 66383, 95604, 102944, 36785, 9174, 27929, 32977, 27929, 32977, 41758, 26269, 105621, 100560, 237, 25197, 91062, 58666, 103991, 104517, 29295, 70090, 20230, 17620, 104517, 30512, 26892, 125655, 102677, 82420, 55723, 15682, 5486, 60596, 8107, 25580, 5486, 127123, 109904, 39880, 84477, 124011, 67075, 124259, 102404, 77413, 30512, 106307, 76622, 101732, 26519, 117813, 103991, 24775, 30512, 107875, 55038, 20230, 13177, 161, 19044, 117503, 83799, 16556, 108285, 29295, 31431, 5486, 101083, 30512, 105522, 240, 29295, 72342, 28713, 105908, 101182, 109807, 74482, 5486, 123079, 103550, 111983, 30590, 15682, 26519, 55031, 104604, 106496, 20230, 37795, 96, 30177, 54926, 5486, 105600, 102512, 8676, 105, 15120, 115351, 124259, 60634, 100472, 1811, 105600, 102512, 8676, 105, 107118, 5486, 31958, 80866, 113146, 20230, 103293, 120998, 116690, 16144, 107693, 26854, 102181, 108847, 71289, 17161, 102181, 29295, 33563, 36651, 103646, 116245, 36785, 124192, 39177, 5486, 57326, 93488, 126694, 13153, 56051, 104468, 5486, 102700, 13372, 26854, 68408, 103988, 25197, 96452, 115247, 111412, 45048, 10110, 115478, 9458, 99695, 25197, 7705, 58, 45048, 15682, 35330, 10, 107517, 16144, 59739, 47884, 31431, 60, 1811, 70090, 90962, 107805, 70563, 48552, 16556, 119526, 40452, 120690, 103306, 76706, 109526, 235, 56051, 13177, 68408, 76428, 122258, 9458, 70090, 117503, 113404, 30046, 103306, 53283, 110071, 68408, 103988, 25197, 118567, 36785, 1811, 105514, 15682, 58666, 103991, 104517, 68408, 126590, 20230, 107188, 111331, 106613, 111186, 16144, 105623, 226, 108882, 115991, 5486, 119365, 5486, 72368, 70277, 45144, 108, 5486, 14276, 122704, 104309, 16556, 58666, 103991, 104517, 30512, 46034, 115856, 76622, 100934, 109807, 103846, 5486, 679, 15, 116358, 105117, 78349, 102750, 103223, 57183, 39880, 9458, 91482, 76739, 16073, 96452, 117163, 16144, 59795, 104517, 30512, 46034, 115856, 105784, 104309, 5486, 58666, 103991, 116690, 112919, 22023, 103192, 32977, 112950, 16995, 1811, 67016, 32977, 41758, 26269, 105621, 100560, 237, 25197, 91062, 110792, 47260, 32131, 103672, 15682, 85707, 107436, 126194, 5486, 112599, 103031, 29295, 68408, 126590, 56051, 39880, 52884, 99959, 91482, 16144, 41758, 26269, 105621, 100560, 237, 25197, 91062, 58666, 103991, 104517, 16144, 123079, 29295, 116748, 16325, 36785, 9174, 37271, 18904, 116882, 30046, 29295, 121602, 102334, 104468, 5486, 32149, 59739, 38144, 111412, 105514, 20230, 116718, 26854, 124773, 91482, 109496, 117824, 76947, 123434, 5486, 111412, 113115, 15024, 5486, 104004, 15024, 85791, 13177, 102491, 16995, 104773, 105360, 64121, 71289, 108044, 105156, 109904, 26892, 53953, 30512, 21990, 32149, 56051, 88356, 21990, 10646, 20230, 108167, 103214, 104004, 68408, 103988, 25197, 118567, 103195, 5486, 102677, 104371, 47523, 30512, 108623, 102532, 105898, 55031, 103195, 1811, 102700, 13372, 26854, 102321, 31640, 39880, 84477, 19967, 46729, 5486, 107139, 94, 29504, 104195, 16144, 64803, 40862, 94923, 30512, 23226, 67178, 56051, 57326, 93488, 77181, 5486, 103868, 78183, 16995, 101182, 102491, 16995, 111999, 102472, 110426, 30512, 121247, 30297, 104983, 112160, 27479, 50338, 33014, 56051, 74482, 5486, 111983, 104195, 21105, 97, 59739, 108031, 127637, 112361, 111999, 102472, 30512, 15120, 59739, 15120, 59739, 108882, 64121, 74245, 17663, 102677, 46034, 25333, 103296, 11883, 119188, 9174, 32149, 59739, 38144, 116882, 30046, 29295, 41758, 26269, 105621, 100560, 237, 25197, 91062, 16144, 107420, 109531, 110548, 109853, 124118, 101832, 28713, 39177, 32977, 106116, 123079, 103911, 23187, 30590, 109853, 36896, 105600, 102512, 8676, 105, 111769, 112130, 91006, 19732, 124118, 101832, 104533, 36896, 114774, 121906, 111769, 66383, 50834, 112043, 31431, 64889, 78244, 15024, 5486, 106581, 112686, 103195, 13177, 105600, 102512, 8676, 105, 10646, 15682, 91875, 32149, 30813, 100604, 5486, 102677, 107608, 16995, 104662, 37689, 30512, 20379, 107113, 9174, 111179, 102532, 33420, 105262, 127178, 53953, 198, 99849, 15682, 107173, 30591, 33121, 110371, 105933, 16937, 105184, 103350, 32149, 59739, 39442, 114140, 16144, 108134, 20230, 75146, 109669, 102334, 110674, 5486, 105242, 29295, 103188, 106266, 33208, 54926, 109335, 5486, 32977, 107173, 19732, 112909, 102971, 103854, 28713, 116497, 16144, 106581, 112686, 123050, 116690, 30046, 19732, 123050, 30512, 25580, 29172, 114267, 68408, 126590, 117824, 30297, 68408, 103988, 25197, 118567, 110792, 56965, 16144, 106627, 56965, 105352, 59739, 105722, 31431, 5486, 113702, 103306, 15682, 5486, 104662, 39926, 106581, 112686, 16144, 123050, 20230, 19361, 60632, 107118, 105110, 100604, 9174, 110924, 16556, 111412, 105514, 20230, 124773, 91482, 109496, 30512, 102782, 15024, 104526, 104004, 19732, 5486, 107420, 109531, 110548, 16144, 89151, 42891, 32335, 16325, 102677, 100909, 38641, 104699, 102052, 43568, 22649, 103351, 29295, 5486, 9039, 111299, 56965, 123090, 106608, 100204, 38144, 122396, 9174, 105514, 103732, 104984, 5486, 107420, 109531, 110548, 15682, 5486, 1049, 22, 116033, 41758, 26269, 105621, 100560, 237, 25197, 91062, 16144, 22649, 30926, 101544, 103351, 42493, 432, 13, 735, 78440, 105514, 29295, 121355, 107430, 56051, 74482, 5486, 103350, 104983, 15682, 122434, 15024, 5486, 101828, 112810, 20230, 114941, 100472, 5486, 102677, 109807, 74482, 5486, 70090, 20230, 41758, 26269, 105621, 100560, 237, 25197, 91062, 29295, 17620, 104517, 30512, 26892, 125655, 102677, 82420, 55723, 37026, 33014, 29295, 118013, 33420, 58942, 110276, 9174, 53900, 5486, 27929, 32977, 27929, 102944, 111412, 105514, 16144, 68408, 126590, 9458, 57326, 93488, 116446, 32977, 5486, 106581, 112686, 16144, 123050, 20230, 112366, 48249, 16144, 121837, 30512, 26130, 16995, 36785, 102944, 103195, 109335, 107750, 16995, 30512, 17701, 110615, 109807, 57326, 93488, 107118, 5486, 41642, 116310, 16144, 105600, 102512, 8676, 105, 16144, 101182, 121536, 30590, 16144, 35894, 50834, 30590, 20230, 5486, 30590, 28190, 55031, 111179, 102334, 83799, 16144, 102321, 31640, 9554, 127178, 53953, 126694, 31431, 5486, 24186, 104680, 16144, 105600, 102512, 8676, 105, 16144, 26892, 53953, 102052, 112909, 21601, 119841, 67645, 107404, 32149, 5486, 110426, 32977, 107918, 32977, 30177, 21105, 103, 16995, 102677, 102944, 1811, 17039, 102800, 127178, 53953, 15682, 105600, 102512, 8676, 105, 16144, 49409, 110366, 19732, 59563, 110366, 16144, 35894, 56965, 30512, 108928, 109315, 29295, 5486, 59563, 110366, 15682, 27929, 32977, 27929, 32977, 29295, 109242, 9039, 16144, 101083, 115351, 29295, 101987, 104004, 122202, 104157, 30590, 115351, 36785, 1811, 67016, 32977, 5486, 123079, 20230, 30591, 28713, 76947, 15682, 5486, 26892, 103234, 15682, 127177, 116245, 16556, 19967, 31431, 108048, 30512, 102321, 30590, 16556, 103214, 64121, 121697, 38144, 26892, 125655, 105908, 101067, 23187, 84389, 101732, 1811, 59739, 109709, 121453, 102800, 127178, 53953, 107118, 16995, 58942 ]
[ 5486, 113473, 26854, 39177, 15682, 125261, 9554, 119237, 20230, 108167, 127258, 17663, 115789, 108608, 5486, 124572, 102332, 16144, 26892, 53953, 20230, 60358, 16995, 9174, 116882, 30046, 29295, 125144, 50338, 30512, 50338, 47884, 103854, 47884, 5486, 105856, 106053, 16144, 102404, 22023, 24186, 103195, 70090, 106581, 115514, 106518, 123050, 104356, 20230, 89046, 117139, 30512, 19732, 104533, 5486, 116690, 30046, 15682, 5486, 59795, 16144, 68759, 25197, 110305, 52884, 77750, 16556, 68408, 126590, 57326, 93488, 29295, 108436, 37705, 84389, 101732, 16144, 104088, 38144, 95543, 106608, 56051, 103378, 118816, 102158, 31431, 59739, 59739, 36896, 118116, 68408, 126590, 77181, 5486, 35894, 56965, 16144, 86867, 29295, 104721, 76947, 114732, 118733, 5486, 108044, 105156, 109904, 26892, 53953, 32977, 104405, 120837, 117375, 114475, 105784, 66383, 15024, 5486, 116254, 90397, 233, 20230, 26892, 53953, 111363, 117375, 102677, 28190, 55031, 5486, 103435, 116, 104611, 30512, 104195, 104873, 56051, 9174, 77693, 116446, 32977, 85701, 33503, 112987, 101860, 33121, 32977, 103188, 86436, 16144, 5486, 103350, 102321, 21105, 103, 102518, 57326, 93488, 36785, 1811, 77181, 26854, 112371, 37271, 36896, 105600, 102512, 8676, 105, 117503, 68408, 126590, 29295, 105104, 28713, 28713, 102802, 109606, 101983, 103836, 104865, 1811, 111412, 105514, 15682, 58426, 114667, 30512, 13177, 16937, 31958, 66383, 21105, 103, 29295, 33503, 32977, 5486, 108895, 102158, 30369, 9174, 13177, 37271, 123334, 15682, 31431, 59795, 16144, 102491, 16995, 127178, 30512, 62004, 104699, 30369, 17039, 28713, 26854, 106081, 64121, 30512, 126020, 108048, 15682, 5486, 70090, 41758, 26269, 105621, 100560, 237, 25197, 91062, 16144, 107420, 109531, 110548, 19732, 109467, 16144, 97518, 116547, 120937, 29295, 5486, 44915, 112535, 58426, 109337, 101544, 101911, 17905, 117083, 109900, 15682, 107139, 94, 29504, 104195, 16144, 64803, 40862, 94923, 107420, 109531, 110548, 104309, 19732, 112361, 109846, 5486, 80673, 108048, 29295, 118789, 109904, 83799, 101983, 104984, 5486, 41642, 116310, 16144, 105856, 106053, 16144, 64936, 27479, 105352, 104721, 33208, 29295, 21990, 100204, 30369, 108995, 126557, 105184, 111201, 5486, 108323, 50928, 48634, 121960, 5486, 103350, 27452, 20230, 104284, 30369, 102944, 120937, 9174, 109846, 115847, 15682, 30591, 47884, 103296, 125534, 108867, 20230, 103188, 105557, 100604, 29295, 110371, 13177, 44915, 112535, 109337, 101544, 101911, 17905, 117083, 10646, 107420, 109531, 110548, 16144, 44915, 20230, 107750, 99397, 114792, 100472, 30046, 5486, 101182, 16995, 15682, 58426, 45163, 37507, 69978, 59739, 127303, 103950, 117375, 123457, 109688, 33565, 100, 56051, 30046, 29295, 5486, 66953, 26269, 57207, 94550, 16144, 113009, 11881, 242, 16144, 107420, 109531, 110548, 30512, 5877, 102, 50834, 55038, 20230, 56051, 102677, 125396, 32977, 43568, 16995, 107118, 16995, 119841, 9174, 33655, 78183, 100604, 26892, 53953, 15682, 118448, 104028, 198, 109846, 5486, 57326, 93488, 30512, 37271, 23226, 107436, 91774, 111243, 5486, 108044, 105156, 127178, 30512, 13177, 121298, 5486, 76706, 11883, 21105, 103, 29295, 33503, 123050, 119607, 103306, 107991, 66383, 95604, 115552, 16556, 5486, 105600, 102512, 8676, 105, 16144, 121536, 30590, 16144, 23226, 67178, 81742, 15682, 110993, 107436, 101523, 227, 126235, 36785, 9174, 111412, 105514, 32977, 108895, 102158, 30369, 66327, 114172, 102512, 109904, 5486, 102491, 16995, 127178, 53953, 16144, 123050, 109853, 15682, 5486, 108044, 105156, 127178, 30512, 110589, 124911, 104680, 16144, 104654, 107809, 20230, 108167, 125639, 100481, 47884, 109215, 115991, 33541, 1811, 102321, 103397, 16144, 123050, 103378, 126194, 5486, 114172, 102512, 16144, 102404, 77413, 102677, 64936, 27479, 55031, 32977, 91774, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 26854, 112371, 118969, 75694, 17129, 26854, 114172, 102512, 9554, 127178, 53953, 29295, 108618, 121118, 104865, 5486, 78698, 107290, 64121, 17129, 109954, 1811, 27452, 116285, 26854, 112371, 39880, 89154, 125933, 101365, 113290, 29295, 37271, 103296, 108618, 100472, 104865, 1811, 102491, 31640, 124911, 102052, 102491, 16995, 127178, 53953, 30512, 108618, 102131, 104309, 95604, 37689, 109375, 15682, 104435, 116497, 38641, 1811, 27929, 32977, 27929, 32977, 40265, 39177, 15682, 102491, 16995, 26892, 53953, 72661, 104435, 16144, 38641, 55031, 109900, 72661, 37271, 103296, 108618, 100472, 104468, 5486, 76622, 42891, 39926, 101682, 91875, 112535, 108618, 100472, 16144, 77181, 124897, 1811, 26892, 53953, 103378, 30512, 108618, 15024, 5486, 90620, 123050, 16144, 103846, 103378, 20230, 123050, 119607, 114267, 105879, 30591, 104984, 115515, 103296, 108618, 107462, 100604, 125396, 29295, 45736, 117201, 109954, 1811, 33420, 21388, 21105, 103, 102518, 104468, 108048, 29295, 44620, 91875, 107328, 36761, 107809, 20230, 105693, 55031, 38641, 1811, 42634, 108941, 113146, 29295, 105721, 78183, 100472, 122416, 16144, 40265, 39177, 115132, 89154, 125933, 101365, 113290, 15682, 5486, 40265, 39177, 17039, 109834, 16144, 106699, 100927, 115287, 62903, 124766, 100927, 16144, 127178, 53953, 115717, 79721, 1811, 59739, 109709, 58426, 124620, 76706, 11883, 108608, 121432, 36761, 113468, 47585, 103646, 16144, 38641, 10646, 9174, 13177, 58426, 113146, 16144, 106581, 19732, 117271, 15024, 5486, 113841, 107407, 100909, 5486, 26892, 53953, 16144, 112366, 16144, 95001, 112603, 15682, 110924, 117083, 66383, 102158, 30369, 111412, 105514, 15682, 36896, 38129, 108608, 26892, 53953, 15682, 5486, 110993, 48634, 38129, 54926, 125231, 66383, 36668, 105714, 54926, 1811, 117382, 5486, 105994, 11883, 20230, 107691, 100472, 64803, 40862, 94923, 16144, 27452, 30512, 123680, 102639, 5486, 111412, 105514, 15682, 108895, 106307, 107674, 66327, 22656, 37507, 16144, 26892, 53953, 30512, 58426, 110674, 47585, 56051, 16995, 102677, 124730, 55031, 115847, 103296, 101860, 104043, 110726, 15024, 117158, 30813, 104435, 29295, 115515, 91774, 120650, 126145, 5486, 1049, 22, 8107, 119400, 19732, 57106, 115694, 36785, 16995, 104369, 118448, 106824, 114604, 126557, 27929, 32977, 27929, 32977, 5486, 102491, 16995, 127178, 53953, 15682, 114754, 33655, 78183, 100604, 19732, 118448, 104028, 1811, 112599, 15682, 5486, 105994, 20230, 53283, 109375, 29295, 104435, 106592, 74482, 101128, 242, 103792, 102677, 9174, 13177, 109095, 24186, 105110, 71289, 114598, 104712, 66383, 54926, 112160, 34048, 16144, 106581, 112686, 123050, 116690, 112919, 113727, 113115, 15024, 5486, 111412, 105514, 15682, 36896, 26892, 38144, 74245, 15024, 15682, 16937, 88367, 66383, 54926, 66327, 28713, 19732, 58942, 118448, 33121, 100481, 100472, 103306, 32977, 108048, 15682, 114172, 102512, 16144, 61304, 125534, 1811, 115514, 122561, 127303, 114598, 95001, 112603, 107407, 1811, 109846, 5486, 32977, 21105, 251, 33121, 30512, 43568, 22649, 71289, 31431, 26892, 38144, 74245, 127564, 5486, 117475, 16144, 105150, 127258, 117084, 114732, 66383, 78698, 105262, 55031, 36785, 9174, 58666, 103991, 104517, 33208, 111848, 88356, 21990, 198, 11883, 108968, 71289, 121432, 16144, 109606, 20230, 87177, 104482, 30512, 60634, 72342, 81219, 5486, 27929, 32977, 27929, 32977, 5486, 114172, 102512, 101182, 26892, 53953, 30512, 119263, 78767, 39880, 91062, 103306, 107740, 54926, 109335, 5486, 102616, 112535, 91774, 111243, 117902, 102800, 100909, 111769, 1811, 58666, 103991, 104517, 15682, 5486, 80699, 71289, 53610, 71289, 101721, 95221, 16144, 38129, 29295, 32335, 31809, 48249, 20230, 126128, 58942, 110071, 5486, 102491, 16995, 127178, 125030, 76947, 15682, 22649, 101067, 109904, 11883, 108968, 109860, 36785, 1811, 104604, 106496, 127078, 94923, 29295, 58426, 106691, 27452, 116787, 5486, 53900, 118899, 77181, 44971, 91062, 9458, 47260, 64178, 102040, 61398, 29295, 29220, 44971, 91062, 107805, 30512, 58666, 103991, 104517, 103306, 108936, 87447, 54322, 15024, 5486, 106135, 16144, 115941, 101198, 47307, 78767, 72369, 119775, 39926, 15682, 104405, 32149, 114318, 29172, 81742, 103792, 9174, 85701, 109853, 5486, 111412, 105514, 32977, 108895, 36668, 105714, 54926, 66327, 33710, 121294, 106496, 113290, 120885, 5486, 58666, 103991, 104517, 103306, 107740, 54926, 118733, 106116, 86867, 30512, 108618, 15024, 5486, 58666, 106624, 47585, 103082, 100934, 1811, 112599, 16144, 105600, 102512, 8676, 105, 15682, 112160, 34048, 29295, 122202, 104157, 109224, 101983, 103836, 1811, 110924, 30512, 23226, 67178, 39926, 106116, 31640, 78183, 112586, 121995, 55723, 30512, 22324, 102532, 116414, 29295, 109161, 16995, 104865, 5486, 17620, 124403, 10646, 9174, 105184, 111201, 5486, 105600, 102512, 8676, 105, 16144, 101182, 121536, 30590, 112028, 34048, 15682, 5486, 101987, 70821, 16144, 122202, 104157, 54926, 76739, 104612, 117084, 108086, 5486, 35894, 56965, 30512, 119448, 47884, 108928, 26955, 254, 103792, 1811, 80699, 126462, 71289, 102472, 22398, 108947, 102404, 104309, 29295, 5486, 101987, 70821, 116907, 15682, 32977, 43514, 85791, 25827, 5486, 125525, 106581, 112686, 105352, 109688, 104698, 30512, 82317, 109416, 17663, 109688, 117126, 30512, 109243, 62004, 100934, 105272, 1811, 59739, 109709, 5486, 67016, 30369, 125231, 111983, 101268, 253, 30512, 33563, 110322, 56051, 17905, 16556, 103031, 33503, 30512, 118013, 56906, 32149, 72342, 5486, 110924, 20230, 80699, 32977, 102472, 22398, 32977, 33655, 124059, 5486, 16906, 111, 30358, 26854, 104970, 104874, 29295, 23039, 126832, 58666, 103991, 104517, 29295, 17701, 30369, 104468, 110745, 104721, 40862, 22649, 109904, 81742, 119775, 91774, 105262, 1811, 103350, 104983, 5486, 116882, 112919, 53283, 30369, 48249, 31431, 5486, 95598, 8107, 108680, 25580, 112028, 39177, 23538, 5486, 105600, 102512, 8676, 105, 30512, 116310, 104004, 26892, 53953, 112028, 64936, 102052, 110745, 46034, 16144, 55723, 127103, 29295, 17701, 106358, 9174, 122270, 78244, 116285, 5486, 108044, 105156, 127178, 19732, 102321, 31640, 39880, 84477, 16144, 103214, 64121, 114146, 15682, 59795, 77181, 117902, 106624, 103470, 5486, 70090, 16144, 119869, 23538, 16144, 102321, 31640, 39880, 84477, 77413, 77181, 21105, 108, 21105, 108, 102491, 16995, 26892, 53953, 29295, 107740, 84389, 5486, 105755, 104604, 106496, 19732, 28741, 30177, 26854, 116690, 30512, 32977, 59739, 36896, 101402, 25766, 253, 10646, 112028, 64936, 105352, 5486, 104959, 73361, 103087, 22656, 16144, 17701, 100472, 102321, 31640, 39880, 84477, 16144, 55723, 127103, 29295, 17701, 106358, 39177, 23538, 107407, 118855, 5486, 70090, 16144, 60174, 110426, 41723, 20230, 57903, 5486, 102321, 25359, 77181, 121821, 16144, 64936, 106681, 103195, 101778, 102924, 103722, 16144, 64936, 106681, 112028, 106090, 19732, 41920, 106090, 102052, 5486, 101544, 116033, 78183, 28713, 76947, 5486, 90962, 125913, 32131, 104612, 39276, 16144, 102321, 31640, 39880, 84477, 55723, 127103, 29295, 17701, 103836, 9174, 32977, 43514, 85791, 25827, 5486, 33563, 106154, 109904, 39880, 71493, 68408, 101198, 78525, 91062, 30512, 104356, 20230, 5486, 108044, 105156, 127178, 19732, 102321, 31640, 39880, 84477, 102677, 103214, 64121, 114146, 30512, 120853, 33476, 54926, 101427, 122, 70141, 32977, 104195, 16995, 1811, 116882, 30046, 29295, 80866, 105189, 102667, 16556, 100927, 111896, 255, 30512, 19732, 30369, 5486, 101182, 127178, 68408, 103988, 25197, 118567, 20230, 37689, 91774, 30512, 32018, 109013, 110229, 36896, 114172, 102512, 101182, 127178, 53953, 19732, 102321, 31640, 39880, 84477, 104309, 5486, 32977, 107173, 19732, 117864, 47884, 13393, 96, 31431, 40862, 78183, 100604, 1811, 105600, 102512, 8676, 105, 20230, 41758, 26269, 105621, 100560, 237, 25197, 91062, 29295, 17701, 30369, 104309, 57903, 50928, 100604, 87177, 66383, 15120, 115064, 112, 116216, 114604, 1811, 128001, 128000, 567, 43949, 110, 102138, 101275, 19732, 91875, 55723, 76706, 11883, 16144, 68759, 108981, 94550, 198, 109683, 30512, 120007, 20230, 117876, 123410, 114407, 102138, 101275, 19732, 91875, 55723, 76706, 11883, 107118, 124563, 107188, 32149, 25197, 126989, 29295, 102971, 102802, 59739, 126660, 32149, 110241, 33121, 107515, 1811, 110229, 29295, 102321, 31640, 16144, 114407, 102138, 101275, 102052, 5486, 61826, 79982, 112113, 29295, 119448, 47884, 97518, 78183, 103836, 115789, 57903, 108149, 33503, 106644, 104533, 107404, 20230, 91875, 55723, 30512, 76706, 11883, 54926, 109933, 107446, 107407, 16144, 38641, 9174, 77693, 116749, 105352, 5486, 43240, 103826, 26854, 53283, 109375, 71289, 22398, 62903, 33710, 30512, 32018, 62004, 110071, 114407, 102138, 101275, 77181, 106116, 108710, 50928, 20230, 91875, 55723, 30512, 76706, 11883, 54926, 118733, 5486, 17792, 103234, 101662, 13153, 16144, 126120, 96455, 33208, 30512, 111629, 30369, 115789, 125545, 9174, 77181, 5486, 114407, 101275, 71289, 102138, 101275, 16144, 102616, 16556, 118789, 112535, 91875, 55723, 30512, 76706, 11883, 54926, 107803, 5486, 67645, 120950, 11883, 108968, 29295, 113727, 110071, 104865, 5486, 119869, 20230, 106691, 109904, 126465, 30512, 18, 59739, 20230, 123011, 107436, 126362, 103801, 109954, 9174, 14711, 8871, 112113, 16144, 106839, 17701, 20230, 76706, 11883, 54926, 198, 85701, 117758, 114407, 102138, 101275, 15682, 5486, 964, 112113, 19732, 125174, 106627, 17663, 105908, 118765, 116690, 20230, 57903, 33541, 109900, 30512, 71634, 44971, 84477, 20230, 21405, 17663, 112690, 29295, 5486, 60358, 8107, 108870, 117657, 101513, 38093, 29295, 43240, 115737, 100472, 13177, 124131, 84477, 114407, 101275, 66383, 13177, 124131, 84477, 102138, 101275, 10646, 38641, 9174, 29504, 29295, 84851, 103130, 54926, 85701, 120577, 108167, 103214, 64121, 15682, 115515, 123470, 17792, 103234, 127242, 104088, 17663, 58942, 106272, 5486, 964, 112113, 16144, 106839, 17701, 113468, 114407, 102138, 101275, 16144, 126120, 96455, 33208, 30512, 111629, 30369, 102944, 38641, 9174, 27452, 116285, 114407, 101275, 77181, 5486, 45923, 42634, 107060, 124905, 100472, 114407, 117434, 107471, 52927, 15682, 17663, 16556, 20230, 108936, 9554, 115717, 59739, 59739, 57903, 5486, 108285, 16995, 114407, 75267, 16556, 43568, 107707, 114407, 101275, 101513, 109472, 29295, 37026, 104063, 112535, 19967, 101275, 30512, 103130, 109315, 115789, 88367, 117084, 61689, 9174, 108895, 56051, 112113, 124905, 16995, 22957, 26854, 17663, 103846, 102052, 5486, 19967, 101275, 30512, 126913, 54926, 105335, 26269, 52591, 16144, 104378, 29295, 109215, 119627, 106116, 126120, 96455, 33208, 102052, 91875, 55723, 29295, 27384, 112495, 105578, 123457, 102404, 127327, 78434, 9174, 14711, 122928, 103991, 71289, 53283, 109375, 16144, 108044, 104067, 20230, 76706, 11883, 54926, 198, 102138, 101275, 16144, 17620, 102212, 72661, 17039, 102800, 112113, 29295, 106839, 17701, 116216, 61689, 109900, 29295, 964, 30512, 107740, 39926, 105466, 102138, 30512, 40452, 54926, 68759, 102750, 76428, 73590, 123141, 38641, 9174, 90620, 15024, 5486, 108729, 112535, 102138, 101275, 15682, 114754, 58911, 107809, 109156, 76947, 19967, 101275, 54926, 103846, 5486, 106613, 111186, 119515, 105469, 26854, 102138, 101275, 123532, 30926, 112919, 101335, 65299, 102040, 65299, 30512, 115847, 117758, 101083 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5486, 113473, 26854, 39177, 15682, 125261, 9554, 119237, 20230, 108167, 127258, 17663, 115789, 108608, 5486, 124572, 102332, 16144, 26892, 53953, 20230, 60358, 16995, 9174, 116882, 30046, 29295, 125144, 50338, 30512, 50338, 47884, 103854, 47884, 5486, 105856, 106053, 16144, 102404, 22023, 24186, 103195, 70090, 106581, 115514, 106518, 123050, 104356, 20230, 89046, 117139, 30512, 19732, 104533, 5486, 116690, 30046, 15682, 5486, 59795, 16144, 68759, 25197, 110305, 52884, 77750, 16556, 68408, 126590, 57326, 93488, 29295, 108436, 37705, 84389, 101732, 16144, 104088, 38144, 95543, 106608, 56051, 103378, 118816, 102158, 31431, 59739, 59739, 36896, 118116, 68408, 126590, 77181, 5486, 35894, 56965, 16144, 86867, 29295, 104721, 76947, 114732, 118733, 5486, 108044, 105156, 109904, 26892, 53953, 32977, 104405, 120837, 117375, 114475, 105784, 66383, 15024, 5486, 116254, 90397, 233, 20230, 26892, 53953, 111363, 117375, 102677, 28190, 55031, 5486, 103435, 116, 104611, 30512, 104195, 104873, 56051, 9174, 77693, 116446, 32977, 85701, 33503, 112987, 101860, 33121, 32977, 103188, 86436, 16144, 5486, 103350, 102321, 21105, 103, 102518, 57326, 93488, 36785, 1811, 77181, 26854, 112371, 37271, 36896, 105600, 102512, 8676, 105, 117503, 68408, 126590, 29295, 105104, 28713, 28713, 102802, 109606, 101983, 103836, 104865, 1811, 111412, 105514, 15682, 58426, 114667, 30512, 13177, 16937, 31958, 66383, 21105, 103, 29295, 33503, 32977, 5486, 108895, 102158, 30369, 9174, 13177, 37271, 123334, 15682, 31431, 59795, 16144, 102491, 16995, 127178, 30512, 62004, 104699, 30369, 17039, 28713, 26854, 106081, 64121, 30512, 126020, 108048, 15682, 5486, 70090, 41758, 26269, 105621, 100560, 237, 25197, 91062, 16144, 107420, 109531, 110548, 19732, 109467, 16144, 97518, 116547, 120937, 29295, 5486, 44915, 112535, 58426, 109337, 101544, 101911, 17905, 117083, 109900, 15682, 107139, 94, 29504, 104195, 16144, 64803, 40862, 94923, 107420, 109531, 110548, 104309, 19732, 112361, 109846, 5486, 80673, 108048, 29295, 118789, 109904, 83799, 101983, 104984, 5486, 41642, 116310, 16144, 105856, 106053, 16144, 64936, 27479, 105352, 104721, 33208, 29295, 21990, 100204, 30369, 108995, 126557, 105184, 111201, 5486, 108323, 50928, 48634, 121960, 5486, 103350, 27452, 20230, 104284, 30369, 102944, 120937, 9174, 109846, 115847, 15682, 30591, 47884, 103296, 125534, 108867, 20230, 103188, 105557, 100604, 29295, 110371, 13177, 44915, 112535, 109337, 101544, 101911, 17905, 117083, 10646, 107420, 109531, 110548, 16144, 44915, 20230, 107750, 99397, 114792, 100472, 30046, 5486, 101182, 16995, 15682, 58426, 45163, 37507, 69978, 59739, 127303, 103950, 117375, 123457, 109688, 33565, 100, 56051, 30046, 29295, 5486, 66953, 26269, 57207, 94550, 16144, 113009, 11881, 242, 16144, 107420, 109531, 110548, 30512, 5877, 102, 50834, 55038, 20230, 56051, 102677, 125396, 32977, 43568, 16995, 107118, 16995, 119841, 9174, 33655, 78183, 100604, 26892, 53953, 15682, 118448, 104028, 198, 109846, 5486, 57326, 93488, 30512, 37271, 23226, 107436, 91774, 111243, 5486, 108044, 105156, 127178, 30512, 13177, 121298, 5486, 76706, 11883, 21105, 103, 29295, 33503, 123050, 119607, 103306, 107991, 66383, 95604, 115552, 16556, 5486, 105600, 102512, 8676, 105, 16144, 121536, 30590, 16144, 23226, 67178, 81742, 15682, 110993, 107436, 101523, 227, 126235, 36785, 9174, 111412, 105514, 32977, 108895, 102158, 30369, 66327, 114172, 102512, 109904, 5486, 102491, 16995, 127178, 53953, 16144, 123050, 109853, 15682, 5486, 108044, 105156, 127178, 30512, 110589, 124911, 104680, 16144, 104654, 107809, 20230, 108167, 125639, 100481, 47884, 109215, 115991, 33541, 1811, 102321, 103397, 16144, 123050, 103378, 126194, 5486, 114172, 102512, 16144, 102404, 77413, 102677, 64936, 27479, 55031, 32977, 91774, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 26854, 112371, 118969, 75694, 17129, 26854, 114172, 102512, 9554, 127178, 53953, 29295, 108618, 121118, 104865, 5486, 78698, 107290, 64121, 17129, 109954, 1811, 27452, 116285, 26854, 112371, 39880, 89154, 125933, 101365, 113290, 29295, 37271, 103296, 108618, 100472, 104865, 1811, 102491, 31640, 124911, 102052, 102491, 16995, 127178, 53953, 30512, 108618, 102131, 104309, 95604, 37689, 109375, 15682, 104435, 116497, 38641, 1811, 27929, 32977, 27929, 32977, 40265, 39177, 15682, 102491, 16995, 26892, 53953, 72661, 104435, 16144, 38641, 55031, 109900, 72661, 37271, 103296, 108618, 100472, 104468, 5486, 76622, 42891, 39926, 101682, 91875, 112535, 108618, 100472, 16144, 77181, 124897, 1811, 26892, 53953, 103378, 30512, 108618, 15024, 5486, 90620, 123050, 16144, 103846, 103378, 20230, 123050, 119607, 114267, 105879, 30591, 104984, 115515, 103296, 108618, 107462, 100604, 125396, 29295, 45736, 117201, 109954, 1811, 33420, 21388, 21105, 103, 102518, 104468, 108048, 29295, 44620, 91875, 107328, 36761, 107809, 20230, 105693, 55031, 38641, 1811, 42634, 108941, 113146, 29295, 105721, 78183, 100472, 122416, 16144, 40265, 39177, 115132, 89154, 125933, 101365, 113290, 15682, 5486, 40265, 39177, 17039, 109834, 16144, 106699, 100927, 115287, 62903, 124766, 100927, 16144, 127178, 53953, 115717, 79721, 1811, 59739, 109709, 58426, 124620, 76706, 11883, 108608, 121432, 36761, 113468, 47585, 103646, 16144, 38641, 10646, 9174, 13177, 58426, 113146, 16144, 106581, 19732, 117271, 15024, 5486, 113841, 107407, 100909, 5486, 26892, 53953, 16144, 112366, 16144, 95001, 112603, 15682, 110924, 117083, 66383, 102158, 30369, 111412, 105514, 15682, 36896, 38129, 108608, 26892, 53953, 15682, 5486, 110993, 48634, 38129, 54926, 125231, 66383, 36668, 105714, 54926, 1811, 117382, 5486, 105994, 11883, 20230, 107691, 100472, 64803, 40862, 94923, 16144, 27452, 30512, 123680, 102639, 5486, 111412, 105514, 15682, 108895, 106307, 107674, 66327, 22656, 37507, 16144, 26892, 53953, 30512, 58426, 110674, 47585, 56051, 16995, 102677, 124730, 55031, 115847, 103296, 101860, 104043, 110726, 15024, 117158, 30813, 104435, 29295, 115515, 91774, 120650, 126145, 5486, 1049, 22, 8107, 119400, 19732, 57106, 115694, 36785, 16995, 104369, 118448, 106824, 114604, 126557, 27929, 32977, 27929, 32977, 5486, 102491, 16995, 127178, 53953, 15682, 114754, 33655, 78183, 100604, 19732, 118448, 104028, 1811, 112599, 15682, 5486, 105994, 20230, 53283, 109375, 29295, 104435, 106592, 74482, 101128, 242, 103792, 102677, 9174, 13177, 109095, 24186, 105110, 71289, 114598, 104712, 66383, 54926, 112160, 34048, 16144, 106581, 112686, 123050, 116690, 112919, 113727, 113115, 15024, 5486, 111412, 105514, 15682, 36896, 26892, 38144, 74245, 15024, 15682, 16937, 88367, 66383, 54926, 66327, 28713, 19732, 58942, 118448, 33121, 100481, 100472, 103306, 32977, 108048, 15682, 114172, 102512, 16144, 61304, 125534, 1811, 115514, 122561, 127303, 114598, 95001, 112603, 107407, 1811, 109846, 5486, 32977, 21105, 251, 33121, 30512, 43568, 22649, 71289, 31431, 26892, 38144, 74245, 127564, 5486, 117475, 16144, 105150, 127258, 117084, 114732, 66383, 78698, 105262, 55031, 36785, 9174, 58666, 103991, 104517, 33208, 111848, 88356, 21990, 198, 11883, 108968, 71289, 121432, 16144, 109606, 20230, 87177, 104482, 30512, 60634, 72342, 81219, 5486, 27929, 32977, 27929, 32977, 5486, 114172, 102512, 101182, 26892, 53953, 30512, 119263, 78767, 39880, 91062, 103306, 107740, 54926, 109335, 5486, 102616, 112535, 91774, 111243, 117902, 102800, 100909, 111769, 1811, 58666, 103991, 104517, 15682, 5486, 80699, 71289, 53610, 71289, 101721, 95221, 16144, 38129, 29295, 32335, 31809, 48249, 20230, 126128, 58942, 110071, 5486, 102491, 16995, 127178, 125030, 76947, 15682, 22649, 101067, 109904, 11883, 108968, 109860, 36785, 1811, 104604, 106496, 127078, 94923, 29295, 58426, 106691, 27452, 116787, 5486, 53900, 118899, 77181, 44971, 91062, 9458, 47260, 64178, 102040, 61398, 29295, 29220, 44971, 91062, 107805, 30512, 58666, 103991, 104517, 103306, 108936, 87447, 54322, 15024, 5486, 106135, 16144, 115941, 101198, 47307, 78767, 72369, 119775, 39926, 15682, 104405, 32149, 114318, 29172, 81742, 103792, 9174, 85701, 109853, 5486, 111412, 105514, 32977, 108895, 36668, 105714, 54926, 66327, 33710, 121294, 106496, 113290, 120885, 5486, 58666, 103991, 104517, 103306, 107740, 54926, 118733, 106116, 86867, 30512, 108618, 15024, 5486, 58666, 106624, 47585, 103082, 100934, 1811, 112599, 16144, 105600, 102512, 8676, 105, 15682, 112160, 34048, 29295, 122202, 104157, 109224, 101983, 103836, 1811, 110924, 30512, 23226, 67178, 39926, 106116, 31640, 78183, 112586, 121995, 55723, 30512, 22324, 102532, 116414, 29295, 109161, 16995, 104865, 5486, 17620, 124403, 10646, 9174, 105184, 111201, 5486, 105600, 102512, 8676, 105, 16144, 101182, 121536, 30590, 112028, 34048, 15682, 5486, 101987, 70821, 16144, 122202, 104157, 54926, 76739, 104612, 117084, 108086, 5486, 35894, 56965, 30512, 119448, 47884, 108928, 26955, 254, 103792, 1811, 80699, 126462, 71289, 102472, 22398, 108947, 102404, 104309, 29295, 5486, 101987, 70821, 116907, 15682, 32977, 43514, 85791, 25827, 5486, 125525, 106581, 112686, 105352, 109688, 104698, 30512, 82317, 109416, 17663, 109688, 117126, 30512, 109243, 62004, 100934, 105272, 1811, 59739, 109709, 5486, 67016, 30369, 125231, 111983, 101268, 253, 30512, 33563, 110322, 56051, 17905, 16556, 103031, 33503, 30512, 118013, 56906, 32149, 72342, 5486, 110924, 20230, 80699, 32977, 102472, 22398, 32977, 33655, 124059, 5486, 16906, 111, 30358, 26854, 104970, 104874, 29295, 23039, 126832, 58666, 103991, 104517, 29295, 17701, 30369, 104468, 110745, 104721, 40862, 22649, 109904, 81742, 119775, 91774, 105262, 1811, 103350, 104983, 5486, 116882, 112919, 53283, 30369, 48249, 31431, 5486, 95598, 8107, 108680, 25580, 112028, 39177, 23538, 5486, 105600, 102512, 8676, 105, 30512, 116310, 104004, 26892, 53953, 112028, 64936, 102052, 110745, 46034, 16144, 55723, 127103, 29295, 17701, 106358, 9174, 122270, 78244, 116285, 5486, 108044, 105156, 127178, 19732, 102321, 31640, 39880, 84477, 16144, 103214, 64121, 114146, 15682, 59795, 77181, 117902, 106624, 103470, 5486, 70090, 16144, 119869, 23538, 16144, 102321, 31640, 39880, 84477, 77413, 77181, 21105, 108, 21105, 108, 102491, 16995, 26892, 53953, 29295, 107740, 84389, 5486, 105755, 104604, 106496, 19732, 28741, 30177, 26854, 116690, 30512, 32977, 59739, 36896, 101402, 25766, 253, 10646, 112028, 64936, 105352, 5486, 104959, 73361, 103087, 22656, 16144, 17701, 100472, 102321, 31640, 39880, 84477, 16144, 55723, 127103, 29295, 17701, 106358, 39177, 23538, 107407, 118855, 5486, 70090, 16144, 60174, 110426, 41723, 20230, 57903, 5486, 102321, 25359, 77181, 121821, 16144, 64936, 106681, 103195, 101778, 102924, 103722, 16144, 64936, 106681, 112028, 106090, 19732, 41920, 106090, 102052, 5486, 101544, 116033, 78183, 28713, 76947, 5486, 90962, 125913, 32131, 104612, 39276, 16144, 102321, 31640, 39880, 84477, 55723, 127103, 29295, 17701, 103836, 9174, 32977, 43514, 85791, 25827, 5486, 33563, 106154, 109904, 39880, 71493, 68408, 101198, 78525, 91062, 30512, 104356, 20230, 5486, 108044, 105156, 127178, 19732, 102321, 31640, 39880, 84477, 102677, 103214, 64121, 114146, 30512, 120853, 33476, 54926, 101427, 122, 70141, 32977, 104195, 16995, 1811, 116882, 30046, 29295, 80866, 105189, 102667, 16556, 100927, 111896, 255, 30512, 19732, 30369, 5486, 101182, 127178, 68408, 103988, 25197, 118567, 20230, 37689, 91774, 30512, 32018, 109013, 110229, 36896, 114172, 102512, 101182, 127178, 53953, 19732, 102321, 31640, 39880, 84477, 104309, 5486, 32977, 107173, 19732, 117864, 47884, 13393, 96, 31431, 40862, 78183, 100604, 1811, 105600, 102512, 8676, 105, 20230, 41758, 26269, 105621, 100560, 237, 25197, 91062, 29295, 17701, 30369, 104309, 57903, 50928, 100604, 87177, 66383, 15120, 115064, 112, 116216, 114604, 1811, 128001, 128000, 567, 43949, 110, 102138, 101275, 19732, 91875, 55723, 76706, 11883, 16144, 68759, 108981, 94550, 198, 109683, 30512, 120007, 20230, 117876, 123410, 114407, 102138, 101275, 19732, 91875, 55723, 76706, 11883, 107118, 124563, 107188, 32149, 25197, 126989, 29295, 102971, 102802, 59739, 126660, 32149, 110241, 33121, 107515, 1811, 110229, 29295, 102321, 31640, 16144, 114407, 102138, 101275, 102052, 5486, 61826, 79982, 112113, 29295, 119448, 47884, 97518, 78183, 103836, 115789, 57903, 108149, 33503, 106644, 104533, 107404, 20230, 91875, 55723, 30512, 76706, 11883, 54926, 109933, 107446, 107407, 16144, 38641, 9174, 77693, 116749, 105352, 5486, 43240, 103826, 26854, 53283, 109375, 71289, 22398, 62903, 33710, 30512, 32018, 62004, 110071, 114407, 102138, 101275, 77181, 106116, 108710, 50928, 20230, 91875, 55723, 30512, 76706, 11883, 54926, 118733, 5486, 17792, 103234, 101662, 13153, 16144, 126120, 96455, 33208, 30512, 111629, 30369, 115789, 125545, 9174, 77181, 5486, 114407, 101275, 71289, 102138, 101275, 16144, 102616, 16556, 118789, 112535, 91875, 55723, 30512, 76706, 11883, 54926, 107803, 5486, 67645, 120950, 11883, 108968, 29295, 113727, 110071, 104865, 5486, 119869, 20230, 106691, 109904, 126465, 30512, 18, 59739, 20230, 123011, 107436, 126362, 103801, 109954, 9174, 14711, 8871, 112113, 16144, 106839, 17701, 20230, 76706, 11883, 54926, 198, 85701, 117758, 114407, 102138, 101275, 15682, 5486, 964, 112113, 19732, 125174, 106627, 17663, 105908, 118765, 116690, 20230, 57903, 33541, 109900, 30512, 71634, 44971, 84477, 20230, 21405, 17663, 112690, 29295, 5486, 60358, 8107, 108870, 117657, 101513, 38093, 29295, 43240, 115737, 100472, 13177, 124131, 84477, 114407, 101275, 66383, 13177, 124131, 84477, 102138, 101275, 10646, 38641, 9174, 29504, 29295, 84851, 103130, 54926, 85701, 120577, 108167, 103214, 64121, 15682, 115515, 123470, 17792, 103234, 127242, 104088, 17663, 58942, 106272, 5486, 964, 112113, 16144, 106839, 17701, 113468, 114407, 102138, 101275, 16144, 126120, 96455, 33208, 30512, 111629, 30369, 102944, 38641, 9174, 27452, 116285, 114407, 101275, 77181, 5486, 45923, 42634, 107060, 124905, 100472, 114407, 117434, 107471, 52927, 15682, 17663, 16556, 20230, 108936, 9554, 115717, 59739, 59739, 57903, 5486, 108285, 16995, 114407, 75267, 16556, 43568, 107707, 114407, 101275, 101513, 109472, 29295, 37026, 104063, 112535, 19967, 101275, 30512, 103130, 109315, 115789, 88367, 117084, 61689, 9174, 108895, 56051, 112113, 124905, 16995, 22957, 26854, 17663, 103846, 102052, 5486, 19967, 101275, 30512, 126913, 54926, 105335, 26269, 52591, 16144, 104378, 29295, 109215, 119627, 106116, 126120, 96455, 33208, 102052, 91875, 55723, 29295, 27384, 112495, 105578, 123457, 102404, 127327, 78434, 9174, 14711, 122928, 103991, 71289, 53283, 109375, 16144, 108044, 104067, 20230, 76706, 11883, 54926, 198, 102138, 101275, 16144, 17620, 102212, 72661, 17039, 102800, 112113, 29295, 106839, 17701, 116216, 61689, 109900, 29295, 964, 30512, 107740, 39926, 105466, 102138, 30512, 40452, 54926, 68759, 102750, 76428, 73590, 123141, 38641, 9174, 90620, 15024, 5486, 108729, 112535, 102138, 101275, 15682, 114754, 58911, 107809, 109156, 76947, 19967, 101275, 54926, 103846, 5486, 106613, 111186, 119515, 105469, 26854, 102138, 101275, 123532, 30926, 112919, 101335, 65299, 102040, 65299, 30512, 115847, 117758, 101083 ]
[ 31640, 105352, 108044, 105262, 109215, 115991, 33541, 9174, 112361, 104466, 114407, 101275, 72661, 5486, 74090, 124905, 124059, 119389, 26854, 106384, 33710, 91062, 16556, 19967, 53953, 30512, 15308, 121, 107517, 54926, 114407, 25333, 71289, 5486, 37087, 115681, 16556, 114407, 101275, 102040, 115474, 123727, 126287, 40452, 55031, 66285, 234, 53610, 103296, 117824, 30297, 123141, 104309, 121453, 102800, 112113, 29295, 33671, 104680, 20230, 106839, 17701, 116216, 61689, 9174, 80673, 114407, 101275, 32977, 22656, 37507, 15682, 109683, 30512, 120007, 117657, 117876, 26854, 105879, 5486, 101544, 8107, 106613, 111186, 30512, 108882, 102189, 102832, 57933, 93488, 114407, 46729, 16144, 101335, 65299, 102040, 65299, 30512, 5486, 105268, 16995, 101083, 31640, 20230, 108044, 58942, 123207, 26854, 31431, 107515, 113637, 105933, 57207, 107060, 72661, 5486, 91875, 55723, 29295, 27384, 119178, 76706, 109526, 235, 78434, 9174, 14711, 115799, 103, 103468, 17792, 103234, 16144, 105184, 33563, 20230, 76706, 11883, 54926, 198, 67645, 16144, 101275, 98220, 72661, 17792, 103234, 127242, 29295, 110020, 34171, 33208, 127145, 29295, 5486, 114407, 102138, 101275, 72661, 127749, 15682, 104721, 116547, 107515, 1811, 107430, 30512, 32018, 109315, 17792, 105459, 113115, 39926, 15682, 117119, 110162, 39926, 114407, 102138, 101275, 16144, 101523, 227, 123457, 108044, 58942, 123207, 115515, 74482, 33541, 33541, 17792, 103234, 16144, 105184, 33563, 29295, 111108, 106624, 26854, 76947, 114732, 123253, 9174, 112599, 32018, 17792, 119890, 43167, 20230, 91875, 55723, 30512, 76706, 11883, 54926, 91875, 50834, 29295, 108285, 29295, 76947, 61689, 1811, 107430, 75267, 16144, 25132, 108, 116310, 95221, 30512, 53283, 31431, 106956, 102677, 32018, 107430, 30046, 125030, 76947, 5486, 110577, 25359, 16144, 32018, 17792, 116229, 77181, 109215, 26854, 108134, 30512, 50928, 30369, 109335, 103082, 107515, 9174, 32018, 17792, 116229, 77181, 108149, 47884, 17129, 72661, 119890, 43167, 16144, 77195, 30512, 46239, 54926, 100909, 67016, 118765, 55031, 38641, 1811, 110229, 29295, 91875, 55723, 30512, 76706, 11883, 126693, 5486, 17792, 103234, 30512, 119890, 43167, 54926, 110366, 29295, 108882, 110993, 112535, 107430, 75267, 16144, 101523, 227, 123457, 39880, 70563, 64178, 54926, 105908, 108608, 16144, 38641, 9174, 51330, 104466, 91875, 55723, 30512, 76706, 11883, 54926, 100909, 113468, 5486, 114407, 102138, 101275, 16144, 102616, 72661, 118969, 75694, 17129, 26854, 39850, 37823, 67075, 29295, 50928, 110071, 125396, 115991, 33541, 125939, 27479, 15682, 58426, 39850, 37823, 67075, 30512, 5486, 67645, 119775, 103350, 104983, 16144, 102321, 75267, 16556, 21990, 32149, 17663, 32149, 5486, 118789, 109904, 30926, 27452, 104088, 38144, 64121, 17129, 109954, 9174, 567, 106030, 107060, 20230, 114146, 28713, 118969, 75694, 17129, 26854, 91875, 55723, 76706, 11883, 25333, 198, 110382, 126328, 103350, 104983, 16144, 30926, 27452, 91875, 55723, 30512, 126362, 21105, 103, 29295, 33503, 5486, 118789, 109904, 91875, 55723, 76706, 11883, 16144, 41007, 30512, 50338, 108323, 103801, 109954, 9174, 14711, 83639, 17039, 112113, 16144, 108710, 50928, 20230, 91875, 55723, 76706, 11883, 198, 121846, 116229, 5232, 121450, 68759, 108270, 107840, 13177, 107850, 103129, 33039, 107420, 102494, 38248, 115, 78205, 16073, 91875, 55723, 111329, 51330, 91875, 55723, 15682, 114407, 101275, 11883, 45923, 42634, 107060, 16144, 39850, 38248, 104, 11972, 29295, 5486, 107420, 102494, 38248, 115, 78205, 16073, 11883, 103306, 114835, 56051, 102944, 38641, 1811, 45923, 42634, 107060, 16144, 106548, 103214, 64121, 19732, 121432, 30512, 104356, 20230, 5486, 103350, 62543, 30512, 39209, 58942, 106272, 5486, 114363, 103722, 109904, 44915, 32977, 17620, 107277, 126172, 47884, 122984, 127145, 9174, 85701, 103296, 117864, 47884, 45923, 42634, 107060, 16144, 53283, 109375, 29295, 104435, 17792, 72661, 108948, 57980, 27929, 22, 17620, 112294, 16144, 51330, 91875, 55723, 104088, 104984, 5486, 114407, 101275, 11883, 45923, 42634, 107060, 16144, 19361, 126120, 34171, 109853, 113954, 108608, 123253, 9174, 121846, 116229, 5232, 2818, 47, 106518, 101275, 13177, 102138, 101275, 11883, 45923, 42634, 107060, 105466, 107850, 48154, 126362, 91875, 55723, 111329, 51330, 91875, 55723, 15682, 102138, 101275, 11883, 20230, 122401, 103646, 45923, 42634, 107060, 29295, 5486, 103350, 104983, 16144, 102321, 75267, 16556, 122502, 47884, 103826, 45829, 30512, 126362, 56051, 102944, 38641, 1811, 45923, 42634, 107060, 58426, 102944, 16144, 126362, 126194, 5486, 19967, 101275, 104346, 86354, 20230, 124011, 67075, 30512, 40265, 38144, 100934, 103846, 5486, 102138, 101275, 123532, 30926, 112919, 104378, 11883, 91875, 55723, 103306, 32977, 33655, 30297, 105908, 108608, 123253, 9174, 85701, 120577, 30926, 27452, 55031, 17620, 117295, 121640, 5486, 91875, 55723, 124905, 30297, 19732, 109242, 122202, 26854, 123128, 16144, 122984, 32977, 108008, 20230, 113954, 15024, 126172, 115737, 31431, 5486, 103350, 104983, 102052, 112825, 110904, 126365, 102204, 100604, 105933, 102321, 75267, 16144, 103826, 45829, 32977, 5486, 115464, 16556, 110924, 20230, 105994, 29295, 107991, 105933, 99750, 112854, 16556, 114140, 54926, 105908, 125545, 9174, 103350, 53953, 29295, 118322, 112772, 101182, 104466, 5486, 125845, 103350, 104983, 16144, 102321, 75267, 30512, 33014, 111186, 54926, 104466, 5486, 91875, 55723, 124905, 30297, 19732, 17039, 102800, 112113, 16144, 108710, 50928, 29295, 119237, 108176, 16144, 38641, 9174, 14711, 102362, 103234, 16144, 101662, 13153, 20230, 91875, 55723, 76706, 11883, 198, 121846, 116229, 5232, 104328, 85791, 108056, 114407, 104674, 13177, 106901, 102472, 25197, 102494, 74090, 19967, 31431, 111329, 51330, 91875, 55723, 77181, 5486, 102832, 57933, 93488, 114407, 46729, 29295, 115364, 106613, 111186, 30512, 32977, 19732, 20230, 5486, 114407, 19967, 101275, 16144, 103130, 62004, 24273, 30512, 122984, 127145, 9174, 114407, 101275, 15682, 103350, 104983, 20230, 105994, 16556, 125338, 64121, 100604, 19732, 5486, 30297, 17129, 47884, 19967, 53953, 29295, 15308, 121, 107517, 108608, 32149, 104405, 32149, 15682, 17620, 107277, 107515, 1811, 17039, 17792, 114407, 46729, 125030, 76947, 15682, 108048, 29295, 27384, 112495, 101128, 102, 64121, 16144, 16, 59739, 38641, 9174, 80673, 91875, 55723, 16556, 106613, 111186, 119515, 107188, 102832, 57933, 93488, 16144, 101335, 65299, 102040, 65299, 29295, 91774, 102204, 104984, 5486, 107188, 31431, 111828, 30358, 26854, 103911, 104874, 53283, 109375, 30512, 50928, 30369, 105908, 125545, 113637, 30926, 27452, 91875, 55723, 15682, 5486, 118969, 75694, 17129, 26854, 19967, 53953, 48154, 19732, 20230, 114971, 33208, 110731, 101200, 16556, 121453, 17792, 114407, 46729, 16144, 101772, 23951, 105352, 114392, 20230, 76706, 11883, 108608, 123253, 9174, 51330, 104466, 5486, 112690, 103378, 77181, 122984, 29295, 111108, 102800, 112113, 71289, 101335, 65299, 102040, 65299, 16144, 108044, 104067, 32977, 5486, 91875, 55723, 76706, 11883, 113468, 27384, 111044, 26854, 126120, 96455, 33208, 29295, 88367, 108176, 16144, 38641, 9174, 14711, 102362, 103234, 16144, 105184, 33563, 20230, 91875, 55723, 76706, 11883, 198, 121846, 116229, 5232, 111405, 46034, 72099, 119695, 91875, 55723, 109933, 100560, 235, 33710, 13177, 16995, 78183, 38144, 16144, 102138, 101275, 123731, 122765, 101200, 111329, 102138, 101275, 16144, 101523, 227, 123457, 108044, 105262, 91875, 55723, 15682, 5486, 111717, 102208, 30590, 16556, 114835, 21909, 55487, 22023, 116216, 61689, 113637, 30926, 27452, 91875, 55723, 77181, 5486, 105268, 16995, 111482, 71289, 105268, 16995, 101908, 122924, 104309, 29295, 120955, 54926, 118733, 121453, 102800, 117876, 30512, 106767, 17663, 105268, 30046, 105459, 20230, 5486, 55999, 99750, 15024, 126172, 16995, 39850, 26269, 64810, 78767, 30512, 37705, 30369, 120266, 19653, 127145, 9174, 32018, 17792, 20230, 91875, 55723, 76706, 11883, 54926, 109335, 5486, 39442, 53283, 16144, 107430, 75267, 20230, 102780, 30512, 119870, 64121, 17701, 104028, 102677, 127408, 99750, 30512, 34208, 33503, 102639, 5486, 115963, 126365, 100934, 110366, 20230, 125641, 60634, 17701, 30512, 113096, 17663, 8239, 114503, 32977, 57903, 33541, 9174, 114407, 101275, 72661, 102138, 101275, 72661, 115515, 123470, 17792, 103234, 127242, 30512, 50338, 33420, 54926, 103846, 102052, 5486, 108882, 110993, 112535, 91875, 55723, 30512, 55487, 22023, 39926, 126120, 96455, 109904, 32018, 17792, 102669, 105838, 30512, 121697, 30369, 109215, 107407, 123253, 9174, 567, 43949, 110, 102138, 101275, 98220, 37087, 33014, 16144, 25197, 126989, 122060, 20230, 91875, 55723, 76706, 11883, 198, 91875, 55723, 76706, 11883, 15682, 5486, 114407, 102138, 101275, 30512, 60868, 121057, 54926, 39850, 38248, 104, 11972, 104309, 55031, 3484, 28359, 43240, 47884, 55487, 22023, 116216, 61689, 1811, 32977, 43514, 85791, 25827, 36668, 26854, 113173, 15682, 5486, 105107, 25446, 71289, 60868, 113649, 117718, 6616, 38641, 9174, 43511, 105352, 45923, 42634, 107060, 16144, 126362, 16556, 91774, 28713, 104466, 5486, 110770, 112113, 16144, 50338, 108323, 102052, 32977, 15682, 71289, 91875, 55723, 15682, 124490, 32149, 17663, 100909, 16144, 118765, 48706, 38641, 9174, 91875, 55723, 102052, 5486, 103984, 112854, 109904, 108134, 19732, 36735, 112, 112854, 55031, 17701, 30369, 108134, 110792, 50021, 110498, 8239, 114503, 16556, 5486, 106649, 16995, 82973, 16556, 105755, 43240, 119064, 108134, 30512, 108044, 58942, 110071, 102677, 39850, 37823, 67075, 115991, 33541, 9174, 114407, 102138, 101275, 119775, 45163, 37507, 121254, 107441, 16144, 111681, 104482, 29295, 127181, 101275, 98220, 77181, 5486, 108134, 102404, 22023, 48634, 16144, 126574, 91875, 55723, 124905, 76947, 5486, 6616, 102669, 105838, 30512, 104195, 33208, 54926, 109215, 107407, 16144, 111769, 123253, 32149, 9174, 37271, 74482, 15682, 114407, 102138, 101275, 123532, 30926, 30046, 19732, 39850, 38248, 104, 11972, 5486, 80539, 114407, 102138, 101275, 97518, 89046, 101513, 97518, 104309, 29295, 108975, 48634, 21105, 103, 29295, 33503, 5486, 101275, 98220, 37087, 33014, 16144, 25197, 126989, 122060, 16144, 113009, 5486, 118969, 75694, 17129, 26854, 117809, 16144, 91875, 55723, 30512, 55487, 22023, 54926, 109215, 107407, 32149, 110241, 33121, 107515, 9174, 77693, 19732, 115963, 20230, 17792, 103234, 16144, 105184, 33563, 55031, 17792, 103234, 16144, 101662, 13153, 5486, 122270, 103350, 104983, 16144, 19967, 101275, 22398, 62903, 114615, 108710, 50928, 105352, 91875, 55723, 30512, 76706, 11883, 17663, 125231, 123253, 9174, 114407, 102138, 101275, 72661, 49792, 101908, 21105, 254, 117201, 5486, 43240, 103826, 26854, 57207, 107060, 113245, 91875, 55723, 76706, 11883, 25333, 29295, 88367, 38641, 1811, 90620, 15024, 5486, 105755, 8239, 114503, 109904, 91875, 55723, 19967, 13153, 123410, 103846, 102052, 5486, 106482, 66201, 16144, 107420, 20230, 50021, 111813, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 107420, 111848, 60868, 121057, 29295, 46034, 117355, 20230, 101682, 76622, 110071, 123141, 32977, 101182, 105879, 5486, 16, 27479, 111800, 118219, 39926, 64121, 38144, 72315, 1811, 128001, 128000, 106353, 82533, 55723, 107118, 117039, 71289, 25197, 32131, 71634, 5486, 88435, 123160, 89046, 106307, 109768, 100604, 110904, 106063, 16144, 115240, 30512, 115552, 78434, 109807, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 100909, 112212, 5486, 46034, 56965, 71289, 47260, 71634, 30512, 126128, 58942, 106272, 32977, 118969, 75694, 17129, 26854, 47260, 108304, 119495, 16144, 126014, 32018, 29295, 88367, 38641, 9174, 110924, 16556, 22656, 77219, 77181, 5486, 106353, 82533, 55723, 55031, 91875, 55723, 126694, 13153, 54926, 41007, 71289, 120098, 5486, 39850, 37823, 67075, 30512, 126362, 78434, 9174, 30832, 33671, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 18, 118821, 39850, 37823, 67075, 198, 60358, 8107, 5486, 106353, 82533, 55723, 124905, 100472, 91875, 55723, 30512, 107420, 102494, 38248, 115, 78205, 16073, 102923, 105226, 16144, 16, 59739, 20230, 108167, 17701, 104028, 114435, 29295, 115079, 107290, 61689, 1811, 91875, 55723, 15682, 106353, 82533, 55723, 20230, 57106, 115694, 43240, 119064, 108134, 30512, 108044, 105262, 105908, 125545, 9174, 122270, 5486, 106353, 82533, 55723, 20230, 57106, 115694, 108044, 105262, 110366, 19732, 101682, 76622, 46034, 110792, 104736, 109375, 20230, 50021, 108010, 29295, 72718, 50834, 109669, 110706, 112973, 66378, 17599, 112, 38641, 1811, 110382, 77181, 13177, 106353, 82533, 55723, 118587, 91875, 55723, 33208, 54926, 39850, 37823, 67075, 30512, 18, 59739, 126362, 78434, 9174, 16, 13, 106198, 244, 112854, 19732, 36735, 112, 112854, 16144, 110176, 24273, 20230, 126014, 32018, 108608, 220, 17, 13, 102542, 242, 16325, 113245, 106627, 110645, 30512, 103181, 102639, 30369, 220, 18, 13, 112084, 38248, 110, 67075, 16144, 104371, 47523, 20230, 108618, 31431, 126172, 16995, 198, 77693, 108422, 33121, 16144, 44915, 30512, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 20713, 7705, 103984, 112854, 19732, 36735, 112, 112854, 16144, 110176, 24273, 20230, 126014, 32018, 108608, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 118733, 5486, 103984, 112854, 19732, 36735, 112, 112854, 16144, 110176, 24273, 20230, 108134, 30512, 126014, 32018, 125545, 1811, 116537, 198, 13177, 103984, 112854, 9458, 36735, 112, 112854, 9458, 106347, 227, 112854, 9458, 109835, 112854, 9458, 103868, 112854, 117503, 76208, 99750, 107809, 72661, 5486, 66378, 20230, 45631, 103984, 112854, 66383, 45631, 36735, 112, 112854, 10646, 55031, 43240, 119064, 108134, 30512, 50928, 127280, 9174, 106353, 82533, 55723, 16144, 107803, 5486, 115240, 71289, 57933, 62903, 71634, 104309, 111848, 103984, 112854, 116771, 55031, 108134, 30512, 50928, 30369, 103846, 112160, 27479, 20230, 43240, 119064, 108134, 30512, 50928, 30369, 105908, 103082, 107515, 1811, 122270, 5486, 108134, 16144, 113954, 105352, 43240, 119064, 82973, 30512, 31634, 78434, 9174, 15120, 24273, 5486, 91875, 55723, 16144, 126513, 13177, 103984, 112854, 66383, 13177, 36735, 112, 112854, 117503, 110176, 24273, 55031, 104735, 101, 27384, 26854, 108134, 30512, 50928, 102204, 5486, 115143, 102052, 108134, 16144, 113954, 30512, 103856, 109315, 8239, 114503, 107407, 16144, 38641, 9174, 25963, 7705, 108968, 16325, 113245, 106627, 110645, 30512, 103181, 102639, 30369, 198, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 113468, 5486, 108152, 38248, 114, 11972, 15682, 32018, 109315, 108134, 20230, 103856, 47884, 28713, 67645, 31431, 59739, 47884, 105908, 103082, 5486, 108968, 16325, 113245, 106627, 110645, 30512, 103181, 102639, 33541, 1811, 108152, 38248, 114, 11972, 29295, 106353, 82533, 55723, 55031, 108134, 30512, 50928, 30369, 102052, 112160, 59739, 115303, 118821, 115240, 71289, 57933, 62903, 71634, 30512, 21105, 96, 107277, 19732, 98499, 64121, 104526, 104004, 109215, 115991, 33541, 1811, 108134 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31640, 105352, 108044, 105262, 109215, 115991, 33541, 9174, 112361, 104466, 114407, 101275, 72661, 5486, 74090, 124905, 124059, 119389, 26854, 106384, 33710, 91062, 16556, 19967, 53953, 30512, 15308, 121, 107517, 54926, 114407, 25333, 71289, 5486, 37087, 115681, 16556, 114407, 101275, 102040, 115474, 123727, 126287, 40452, 55031, 66285, 234, 53610, 103296, 117824, 30297, 123141, 104309, 121453, 102800, 112113, 29295, 33671, 104680, 20230, 106839, 17701, 116216, 61689, 9174, 80673, 114407, 101275, 32977, 22656, 37507, 15682, 109683, 30512, 120007, 117657, 117876, 26854, 105879, 5486, 101544, 8107, 106613, 111186, 30512, 108882, 102189, 102832, 57933, 93488, 114407, 46729, 16144, 101335, 65299, 102040, 65299, 30512, 5486, 105268, 16995, 101083, 31640, 20230, 108044, 58942, 123207, 26854, 31431, 107515, 113637, 105933, 57207, 107060, 72661, 5486, 91875, 55723, 29295, 27384, 119178, 76706, 109526, 235, 78434, 9174, 14711, 115799, 103, 103468, 17792, 103234, 16144, 105184, 33563, 20230, 76706, 11883, 54926, 198, 67645, 16144, 101275, 98220, 72661, 17792, 103234, 127242, 29295, 110020, 34171, 33208, 127145, 29295, 5486, 114407, 102138, 101275, 72661, 127749, 15682, 104721, 116547, 107515, 1811, 107430, 30512, 32018, 109315, 17792, 105459, 113115, 39926, 15682, 117119, 110162, 39926, 114407, 102138, 101275, 16144, 101523, 227, 123457, 108044, 58942, 123207, 115515, 74482, 33541, 33541, 17792, 103234, 16144, 105184, 33563, 29295, 111108, 106624, 26854, 76947, 114732, 123253, 9174, 112599, 32018, 17792, 119890, 43167, 20230, 91875, 55723, 30512, 76706, 11883, 54926, 91875, 50834, 29295, 108285, 29295, 76947, 61689, 1811, 107430, 75267, 16144, 25132, 108, 116310, 95221, 30512, 53283, 31431, 106956, 102677, 32018, 107430, 30046, 125030, 76947, 5486, 110577, 25359, 16144, 32018, 17792, 116229, 77181, 109215, 26854, 108134, 30512, 50928, 30369, 109335, 103082, 107515, 9174, 32018, 17792, 116229, 77181, 108149, 47884, 17129, 72661, 119890, 43167, 16144, 77195, 30512, 46239, 54926, 100909, 67016, 118765, 55031, 38641, 1811, 110229, 29295, 91875, 55723, 30512, 76706, 11883, 126693, 5486, 17792, 103234, 30512, 119890, 43167, 54926, 110366, 29295, 108882, 110993, 112535, 107430, 75267, 16144, 101523, 227, 123457, 39880, 70563, 64178, 54926, 105908, 108608, 16144, 38641, 9174, 51330, 104466, 91875, 55723, 30512, 76706, 11883, 54926, 100909, 113468, 5486, 114407, 102138, 101275, 16144, 102616, 72661, 118969, 75694, 17129, 26854, 39850, 37823, 67075, 29295, 50928, 110071, 125396, 115991, 33541, 125939, 27479, 15682, 58426, 39850, 37823, 67075, 30512, 5486, 67645, 119775, 103350, 104983, 16144, 102321, 75267, 16556, 21990, 32149, 17663, 32149, 5486, 118789, 109904, 30926, 27452, 104088, 38144, 64121, 17129, 109954, 9174, 567, 106030, 107060, 20230, 114146, 28713, 118969, 75694, 17129, 26854, 91875, 55723, 76706, 11883, 25333, 198, 110382, 126328, 103350, 104983, 16144, 30926, 27452, 91875, 55723, 30512, 126362, 21105, 103, 29295, 33503, 5486, 118789, 109904, 91875, 55723, 76706, 11883, 16144, 41007, 30512, 50338, 108323, 103801, 109954, 9174, 14711, 83639, 17039, 112113, 16144, 108710, 50928, 20230, 91875, 55723, 76706, 11883, 198, 121846, 116229, 5232, 121450, 68759, 108270, 107840, 13177, 107850, 103129, 33039, 107420, 102494, 38248, 115, 78205, 16073, 91875, 55723, 111329, 51330, 91875, 55723, 15682, 114407, 101275, 11883, 45923, 42634, 107060, 16144, 39850, 38248, 104, 11972, 29295, 5486, 107420, 102494, 38248, 115, 78205, 16073, 11883, 103306, 114835, 56051, 102944, 38641, 1811, 45923, 42634, 107060, 16144, 106548, 103214, 64121, 19732, 121432, 30512, 104356, 20230, 5486, 103350, 62543, 30512, 39209, 58942, 106272, 5486, 114363, 103722, 109904, 44915, 32977, 17620, 107277, 126172, 47884, 122984, 127145, 9174, 85701, 103296, 117864, 47884, 45923, 42634, 107060, 16144, 53283, 109375, 29295, 104435, 17792, 72661, 108948, 57980, 27929, 22, 17620, 112294, 16144, 51330, 91875, 55723, 104088, 104984, 5486, 114407, 101275, 11883, 45923, 42634, 107060, 16144, 19361, 126120, 34171, 109853, 113954, 108608, 123253, 9174, 121846, 116229, 5232, 2818, 47, 106518, 101275, 13177, 102138, 101275, 11883, 45923, 42634, 107060, 105466, 107850, 48154, 126362, 91875, 55723, 111329, 51330, 91875, 55723, 15682, 102138, 101275, 11883, 20230, 122401, 103646, 45923, 42634, 107060, 29295, 5486, 103350, 104983, 16144, 102321, 75267, 16556, 122502, 47884, 103826, 45829, 30512, 126362, 56051, 102944, 38641, 1811, 45923, 42634, 107060, 58426, 102944, 16144, 126362, 126194, 5486, 19967, 101275, 104346, 86354, 20230, 124011, 67075, 30512, 40265, 38144, 100934, 103846, 5486, 102138, 101275, 123532, 30926, 112919, 104378, 11883, 91875, 55723, 103306, 32977, 33655, 30297, 105908, 108608, 123253, 9174, 85701, 120577, 30926, 27452, 55031, 17620, 117295, 121640, 5486, 91875, 55723, 124905, 30297, 19732, 109242, 122202, 26854, 123128, 16144, 122984, 32977, 108008, 20230, 113954, 15024, 126172, 115737, 31431, 5486, 103350, 104983, 102052, 112825, 110904, 126365, 102204, 100604, 105933, 102321, 75267, 16144, 103826, 45829, 32977, 5486, 115464, 16556, 110924, 20230, 105994, 29295, 107991, 105933, 99750, 112854, 16556, 114140, 54926, 105908, 125545, 9174, 103350, 53953, 29295, 118322, 112772, 101182, 104466, 5486, 125845, 103350, 104983, 16144, 102321, 75267, 30512, 33014, 111186, 54926, 104466, 5486, 91875, 55723, 124905, 30297, 19732, 17039, 102800, 112113, 16144, 108710, 50928, 29295, 119237, 108176, 16144, 38641, 9174, 14711, 102362, 103234, 16144, 101662, 13153, 20230, 91875, 55723, 76706, 11883, 198, 121846, 116229, 5232, 104328, 85791, 108056, 114407, 104674, 13177, 106901, 102472, 25197, 102494, 74090, 19967, 31431, 111329, 51330, 91875, 55723, 77181, 5486, 102832, 57933, 93488, 114407, 46729, 29295, 115364, 106613, 111186, 30512, 32977, 19732, 20230, 5486, 114407, 19967, 101275, 16144, 103130, 62004, 24273, 30512, 122984, 127145, 9174, 114407, 101275, 15682, 103350, 104983, 20230, 105994, 16556, 125338, 64121, 100604, 19732, 5486, 30297, 17129, 47884, 19967, 53953, 29295, 15308, 121, 107517, 108608, 32149, 104405, 32149, 15682, 17620, 107277, 107515, 1811, 17039, 17792, 114407, 46729, 125030, 76947, 15682, 108048, 29295, 27384, 112495, 101128, 102, 64121, 16144, 16, 59739, 38641, 9174, 80673, 91875, 55723, 16556, 106613, 111186, 119515, 107188, 102832, 57933, 93488, 16144, 101335, 65299, 102040, 65299, 29295, 91774, 102204, 104984, 5486, 107188, 31431, 111828, 30358, 26854, 103911, 104874, 53283, 109375, 30512, 50928, 30369, 105908, 125545, 113637, 30926, 27452, 91875, 55723, 15682, 5486, 118969, 75694, 17129, 26854, 19967, 53953, 48154, 19732, 20230, 114971, 33208, 110731, 101200, 16556, 121453, 17792, 114407, 46729, 16144, 101772, 23951, 105352, 114392, 20230, 76706, 11883, 108608, 123253, 9174, 51330, 104466, 5486, 112690, 103378, 77181, 122984, 29295, 111108, 102800, 112113, 71289, 101335, 65299, 102040, 65299, 16144, 108044, 104067, 32977, 5486, 91875, 55723, 76706, 11883, 113468, 27384, 111044, 26854, 126120, 96455, 33208, 29295, 88367, 108176, 16144, 38641, 9174, 14711, 102362, 103234, 16144, 105184, 33563, 20230, 91875, 55723, 76706, 11883, 198, 121846, 116229, 5232, 111405, 46034, 72099, 119695, 91875, 55723, 109933, 100560, 235, 33710, 13177, 16995, 78183, 38144, 16144, 102138, 101275, 123731, 122765, 101200, 111329, 102138, 101275, 16144, 101523, 227, 123457, 108044, 105262, 91875, 55723, 15682, 5486, 111717, 102208, 30590, 16556, 114835, 21909, 55487, 22023, 116216, 61689, 113637, 30926, 27452, 91875, 55723, 77181, 5486, 105268, 16995, 111482, 71289, 105268, 16995, 101908, 122924, 104309, 29295, 120955, 54926, 118733, 121453, 102800, 117876, 30512, 106767, 17663, 105268, 30046, 105459, 20230, 5486, 55999, 99750, 15024, 126172, 16995, 39850, 26269, 64810, 78767, 30512, 37705, 30369, 120266, 19653, 127145, 9174, 32018, 17792, 20230, 91875, 55723, 76706, 11883, 54926, 109335, 5486, 39442, 53283, 16144, 107430, 75267, 20230, 102780, 30512, 119870, 64121, 17701, 104028, 102677, 127408, 99750, 30512, 34208, 33503, 102639, 5486, 115963, 126365, 100934, 110366, 20230, 125641, 60634, 17701, 30512, 113096, 17663, 8239, 114503, 32977, 57903, 33541, 9174, 114407, 101275, 72661, 102138, 101275, 72661, 115515, 123470, 17792, 103234, 127242, 30512, 50338, 33420, 54926, 103846, 102052, 5486, 108882, 110993, 112535, 91875, 55723, 30512, 55487, 22023, 39926, 126120, 96455, 109904, 32018, 17792, 102669, 105838, 30512, 121697, 30369, 109215, 107407, 123253, 9174, 567, 43949, 110, 102138, 101275, 98220, 37087, 33014, 16144, 25197, 126989, 122060, 20230, 91875, 55723, 76706, 11883, 198, 91875, 55723, 76706, 11883, 15682, 5486, 114407, 102138, 101275, 30512, 60868, 121057, 54926, 39850, 38248, 104, 11972, 104309, 55031, 3484, 28359, 43240, 47884, 55487, 22023, 116216, 61689, 1811, 32977, 43514, 85791, 25827, 36668, 26854, 113173, 15682, 5486, 105107, 25446, 71289, 60868, 113649, 117718, 6616, 38641, 9174, 43511, 105352, 45923, 42634, 107060, 16144, 126362, 16556, 91774, 28713, 104466, 5486, 110770, 112113, 16144, 50338, 108323, 102052, 32977, 15682, 71289, 91875, 55723, 15682, 124490, 32149, 17663, 100909, 16144, 118765, 48706, 38641, 9174, 91875, 55723, 102052, 5486, 103984, 112854, 109904, 108134, 19732, 36735, 112, 112854, 55031, 17701, 30369, 108134, 110792, 50021, 110498, 8239, 114503, 16556, 5486, 106649, 16995, 82973, 16556, 105755, 43240, 119064, 108134, 30512, 108044, 58942, 110071, 102677, 39850, 37823, 67075, 115991, 33541, 9174, 114407, 102138, 101275, 119775, 45163, 37507, 121254, 107441, 16144, 111681, 104482, 29295, 127181, 101275, 98220, 77181, 5486, 108134, 102404, 22023, 48634, 16144, 126574, 91875, 55723, 124905, 76947, 5486, 6616, 102669, 105838, 30512, 104195, 33208, 54926, 109215, 107407, 16144, 111769, 123253, 32149, 9174, 37271, 74482, 15682, 114407, 102138, 101275, 123532, 30926, 30046, 19732, 39850, 38248, 104, 11972, 5486, 80539, 114407, 102138, 101275, 97518, 89046, 101513, 97518, 104309, 29295, 108975, 48634, 21105, 103, 29295, 33503, 5486, 101275, 98220, 37087, 33014, 16144, 25197, 126989, 122060, 16144, 113009, 5486, 118969, 75694, 17129, 26854, 117809, 16144, 91875, 55723, 30512, 55487, 22023, 54926, 109215, 107407, 32149, 110241, 33121, 107515, 9174, 77693, 19732, 115963, 20230, 17792, 103234, 16144, 105184, 33563, 55031, 17792, 103234, 16144, 101662, 13153, 5486, 122270, 103350, 104983, 16144, 19967, 101275, 22398, 62903, 114615, 108710, 50928, 105352, 91875, 55723, 30512, 76706, 11883, 17663, 125231, 123253, 9174, 114407, 102138, 101275, 72661, 49792, 101908, 21105, 254, 117201, 5486, 43240, 103826, 26854, 57207, 107060, 113245, 91875, 55723, 76706, 11883, 25333, 29295, 88367, 38641, 1811, 90620, 15024, 5486, 105755, 8239, 114503, 109904, 91875, 55723, 19967, 13153, 123410, 103846, 102052, 5486, 106482, 66201, 16144, 107420, 20230, 50021, 111813, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 107420, 111848, 60868, 121057, 29295, 46034, 117355, 20230, 101682, 76622, 110071, 123141, 32977, 101182, 105879, 5486, 16, 27479, 111800, 118219, 39926, 64121, 38144, 72315, 1811, 128001, 128000, 106353, 82533, 55723, 107118, 117039, 71289, 25197, 32131, 71634, 5486, 88435, 123160, 89046, 106307, 109768, 100604, 110904, 106063, 16144, 115240, 30512, 115552, 78434, 109807, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 100909, 112212, 5486, 46034, 56965, 71289, 47260, 71634, 30512, 126128, 58942, 106272, 32977, 118969, 75694, 17129, 26854, 47260, 108304, 119495, 16144, 126014, 32018, 29295, 88367, 38641, 9174, 110924, 16556, 22656, 77219, 77181, 5486, 106353, 82533, 55723, 55031, 91875, 55723, 126694, 13153, 54926, 41007, 71289, 120098, 5486, 39850, 37823, 67075, 30512, 126362, 78434, 9174, 30832, 33671, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 18, 118821, 39850, 37823, 67075, 198, 60358, 8107, 5486, 106353, 82533, 55723, 124905, 100472, 91875, 55723, 30512, 107420, 102494, 38248, 115, 78205, 16073, 102923, 105226, 16144, 16, 59739, 20230, 108167, 17701, 104028, 114435, 29295, 115079, 107290, 61689, 1811, 91875, 55723, 15682, 106353, 82533, 55723, 20230, 57106, 115694, 43240, 119064, 108134, 30512, 108044, 105262, 105908, 125545, 9174, 122270, 5486, 106353, 82533, 55723, 20230, 57106, 115694, 108044, 105262, 110366, 19732, 101682, 76622, 46034, 110792, 104736, 109375, 20230, 50021, 108010, 29295, 72718, 50834, 109669, 110706, 112973, 66378, 17599, 112, 38641, 1811, 110382, 77181, 13177, 106353, 82533, 55723, 118587, 91875, 55723, 33208, 54926, 39850, 37823, 67075, 30512, 18, 59739, 126362, 78434, 9174, 16, 13, 106198, 244, 112854, 19732, 36735, 112, 112854, 16144, 110176, 24273, 20230, 126014, 32018, 108608, 220, 17, 13, 102542, 242, 16325, 113245, 106627, 110645, 30512, 103181, 102639, 30369, 220, 18, 13, 112084, 38248, 110, 67075, 16144, 104371, 47523, 20230, 108618, 31431, 126172, 16995, 198, 77693, 108422, 33121, 16144, 44915, 30512, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 20713, 7705, 103984, 112854, 19732, 36735, 112, 112854, 16144, 110176, 24273, 20230, 126014, 32018, 108608, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 118733, 5486, 103984, 112854, 19732, 36735, 112, 112854, 16144, 110176, 24273, 20230, 108134, 30512, 126014, 32018, 125545, 1811, 116537, 198, 13177, 103984, 112854, 9458, 36735, 112, 112854, 9458, 106347, 227, 112854, 9458, 109835, 112854, 9458, 103868, 112854, 117503, 76208, 99750, 107809, 72661, 5486, 66378, 20230, 45631, 103984, 112854, 66383, 45631, 36735, 112, 112854, 10646, 55031, 43240, 119064, 108134, 30512, 50928, 127280, 9174, 106353, 82533, 55723, 16144, 107803, 5486, 115240, 71289, 57933, 62903, 71634, 104309, 111848, 103984, 112854, 116771, 55031, 108134, 30512, 50928, 30369, 103846, 112160, 27479, 20230, 43240, 119064, 108134, 30512, 50928, 30369, 105908, 103082, 107515, 1811, 122270, 5486, 108134, 16144, 113954, 105352, 43240, 119064, 82973, 30512, 31634, 78434, 9174, 15120, 24273, 5486, 91875, 55723, 16144, 126513, 13177, 103984, 112854, 66383, 13177, 36735, 112, 112854, 117503, 110176, 24273, 55031, 104735, 101, 27384, 26854, 108134, 30512, 50928, 102204, 5486, 115143, 102052, 108134, 16144, 113954, 30512, 103856, 109315, 8239, 114503, 107407, 16144, 38641, 9174, 25963, 7705, 108968, 16325, 113245, 106627, 110645, 30512, 103181, 102639, 30369, 198, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 113468, 5486, 108152, 38248, 114, 11972, 15682, 32018, 109315, 108134, 20230, 103856, 47884, 28713, 67645, 31431, 59739, 47884, 105908, 103082, 5486, 108968, 16325, 113245, 106627, 110645, 30512, 103181, 102639, 33541, 1811, 108152, 38248, 114, 11972, 29295, 106353, 82533, 55723, 55031, 108134, 30512, 50928, 30369, 102052, 112160, 59739, 115303, 118821, 115240, 71289, 57933, 62903, 71634, 30512, 21105, 96, 107277, 19732, 98499, 64121, 104526, 104004, 109215, 115991, 33541, 1811, 108134 ]
[ 30512, 103856, 47884, 50928, 106956, 119150, 108152, 38248, 114, 11972, 125030, 76947, 98499, 64121, 104526, 104004, 23039, 101399, 15682, 66776, 126120, 96455, 116787, 5486, 108968, 16325, 16556, 106627, 110645, 54926, 125396, 29295, 45736, 47884, 109020, 16144, 38641, 9174, 15120, 24273, 16556, 5486, 115240, 30512, 91875, 55723, 33208, 54926, 118733, 108152, 38248, 114, 11972, 15682, 103984, 112854, 19732, 36735, 112, 112854, 124905, 105262, 103846, 5486, 72406, 121, 50834, 30369, 100909, 103470, 109215, 26854, 108134, 20230, 28713, 67645, 31431, 100815, 76622, 33541, 109807, 113702, 103306, 108152, 38248, 114, 115247, 103856, 23538, 106627, 110645, 30512, 103181, 105557, 5486, 114435, 29295, 108044, 58942, 106956, 39850, 26269, 64810, 78767, 30512, 21105, 96, 107277, 19732, 126014, 32018, 125545, 9174, 34617, 7705, 47307, 38248, 110, 67075, 16144, 104371, 47523, 20230, 108618, 31431, 126172, 16995, 198, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 15682, 5486, 47307, 38248, 110, 67075, 16144, 104371, 47523, 20230, 104195, 47884, 108618, 31431, 126172, 16995, 28542, 32977, 27384, 112495, 39850, 37823, 67075, 16144, 16, 59739, 38641, 1811, 28713, 19732, 116285, 5486, 111926, 10190, 16556, 89753, 104028, 39850, 42634, 103857, 38248, 226, 123646, 106240, 116825, 16995, 40526, 101860, 98369, 36785, 106613, 111186, 107407, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 1811, 76171, 80805, 110548, 16144, 101182, 115240, 71289, 33, 21287, 5486, 96452, 44971, 38248, 115, 78205, 16073, 104309, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 5486, 106063, 37026, 16144, 71634, 111672, 11972, 34171, 71289, 102446, 20834, 30512, 125894, 33655, 54926, 118733, 5486, 108152, 38248, 114, 11972, 20230, 104195, 47884, 104371, 47523, 30512, 108618, 17663, 105908, 88367, 38641, 9174, 122270, 5486, 115240, 30512, 91875, 55723, 33208, 54926, 118733, 198, 13177, 91875, 50834, 10646, 111848, 118969, 75694, 17129, 26854, 122984, 117824, 58942, 33541, 1811, 47043, 122984, 123160, 75267, 28190, 127303, 104984, 5486, 103350, 104983, 20230, 38129, 56051, 104983, 16144, 103826, 45829, 30512, 22398, 102803, 45923, 16556, 126362, 56051, 31431, 5486, 50338, 108323, 30512, 96452, 44971, 38248, 115, 78205, 16073, 16556, 111983, 102780, 56051, 31431, 102083, 100472, 41007, 16556, 5486, 105755, 104195, 47884, 104371, 47523, 109669, 105784, 105908, 108608, 123253, 9174, 106353, 82533, 55723, 55031, 91875, 55723, 126694, 13153, 54926, 18, 118821, 41007, 198, 118288, 37271, 5486, 91875, 55723, 108285, 58655, 117903, 15682, 27384, 112495, 108285, 29295, 31431, 104088, 127397, 108086, 106116, 16325, 72661, 124131, 84477, 108526, 16073, 70141, 76622, 16144, 19967, 13153, 103223, 64178, 16144, 110095, 16995, 15682, 30832, 112854, 17129, 102800, 102944, 115991, 33541, 1811, 107943, 124131, 84477, 108526, 16073, 70141, 76622, 16144, 103223, 64178, 30512, 96412, 62004, 5486, 106353, 82533, 55723, 55031, 91875, 55723, 126694, 13153, 54926, 106691, 9554, 16144, 41007, 15682, 33671, 16144, 18, 59739, 38641, 9174, 12, 220, 16, 627, 106353, 82533, 55723, 55031, 22398, 102803, 45923, 102895, 11972, 126694, 30369, 198, 12, 220, 17, 627, 47260, 68759, 102860, 118372, 16556, 19967, 30369, 198, 12, 220, 18, 627, 16, 109577, 16144, 106353, 82533, 55723, 20230, 79785, 126390, 110498, 122101, 198, 91875, 55723, 19967, 13153, 123863, 53283, 109375, 71289, 22398, 62903, 33710, 5486, 117501, 104309, 20230, 106608, 100204, 38144, 37026, 61337, 20230, 40862, 30297, 41007, 30512, 121507, 39926, 64121, 38144, 72315, 9174, 20713, 7705, 106353, 82533, 55723, 55031, 22398, 102803, 45923, 102895, 11972, 126694, 30369, 198, 106353, 82533, 55723, 30512, 11883, 102334, 22398, 102803, 45923, 102895, 115247, 19967, 13153, 113468, 91875, 55723, 33208, 29295, 125545, 1811, 22398, 102803, 45923, 102895, 11972, 107118, 5486, 109242, 9039, 56051, 115240, 30512, 89046, 106307, 112535, 52563, 124545, 100909, 38641, 9174, 112599, 15682, 5486, 124131, 84477, 108526, 16073, 39880, 115507, 113468, 22398, 102803, 45923, 102895, 11972, 30512, 112825, 110904, 20230, 19967, 13153, 108608, 101200, 115717, 79721, 1811, 22398, 102803, 45923, 102895, 11972, 29295, 19967, 13153, 108608, 39880, 115507, 16144, 27452, 15682, 33671, 16144, 19732, 108086, 38641, 9174, 7594, 45800, 41628, 17216, 12420, 38728, 5482, 19771, 21608, 6178, 7968, 104309, 198, 85701, 103296, 115240, 16144, 22398, 102803, 45923, 102895, 11972, 126694, 13153, 56051, 106613, 111186, 119703, 17792, 72661, 5486, 124131, 84477, 108526, 16073, 39880, 115507, 30512, 107740, 126693, 117039, 71289, 115240, 5486, 127557, 30512, 121507, 54926, 121142, 112825, 110904, 20230, 91875, 55723, 33208, 125545, 9174, 25963, 7705, 47260, 68759, 102860, 118372, 16556, 19967, 30369, 198, 47260, 68759, 102860, 118372, 17905, 16556, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 41007, 32977, 57903, 33541, 1811, 57326, 77750, 32131, 68759, 11972, 104309, 29295, 111199, 16995, 55723, 28190, 121254, 126469, 62903, 125024, 65575, 30512, 76537, 103836, 110783, 30512, 111926, 71289, 120366, 104309, 16556, 91774, 28713, 105908, 101182, 24273, 32977, 43240, 117201, 109954, 9174, 58426, 111199, 16995, 55723, 28190, 30512, 198, 13177, 47260, 68759, 102860, 118372, 10646, 112031, 105324, 102802, 33541, 1811, 47260, 68759, 102860, 118372, 17905, 16556, 62903, 125024, 65575, 55031, 17701, 48634, 56051, 57933, 62903, 71634, 113468, 109713, 70563, 72369, 120770, 20230, 118279, 30512, 20834, 39926, 104774, 106696, 104088, 115926, 5486, 44915, 30512, 122489, 56051, 31431, 54926, 16144, 38641, 9174, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 102052, 198, 13177, 73522, 66383, 95604, 47260, 68759, 102860, 30512, 38129, 78434, 1811, 73522, 15682, 5486, 91875, 55723, 71289, 79785, 71174, 16144, 40862, 13153, 71289, 55723, 105284, 122489, 123160, 104817, 43167, 121432, 114792, 59739, 102944, 38641, 127211, 17129, 107188, 19967, 13153, 16144, 89753, 33121, 15682, 33671, 16144, 121640, 38641, 9174, 106353, 82533, 55723, 77693, 108422, 33121, 20230, 111419, 82973, 52563, 54926, 91875, 55723, 126694, 13153, 109145, 13153, 56051, 91875, 55723, 42016, 101559, 30512, 103721, 233, 102639, 30369, 10447, 117, 233, 102639, 28713, 91875, 55723, 20230, 33, 21287, 30512, 47000, 105784, 198, 90620, 15024, 5486, 47260, 68759, 102860, 118372, 123863, 53283, 109375, 30512, 32977, 107462, 100604, 24273, 102052, 114715, 111108, 87844, 27479, 16144, 126574, 19967, 31431, 24273, 102083, 105262, 123253, 9174, 34617, 7705, 16, 109577, 16144, 106353, 82533, 55723, 20230, 79785, 126390, 16144, 122101, 198, 16, 109577, 16144, 106353, 82533, 55723, 113115, 39926, 79785, 126390, 16144, 122101, 118733, 91875, 55723, 33208, 54926, 123017, 41007, 112028, 59739, 38641, 1811, 16, 109577, 16144, 117039, 71289, 115240, 20230, 127557, 71289, 79785, 71174, 104309, 116825, 105784, 103378, 72661, 5486, 36735, 112, 112854, 124905, 30297, 118733, 104371, 47523, 29295, 104721, 116547, 33541, 9174, 16, 109577, 16144, 106353, 82533, 55723, 20230, 79785, 126390, 110498, 122101, 102052, 5486, 80805, 102741, 109713, 16144, 104817, 43167, 103223, 64178, 71289, 124131, 84477, 108526, 16073, 39880, 115507, 30512, 11883, 107991, 112973, 108936, 9554, 38641, 1811, 106691, 109904, 80805, 102741, 109713, 16144, 104817, 43167, 103223, 64178, 15682, 33671, 16144, 19732, 108086, 38641, 9174, 10835, 1223, 4126, 6995, 45800, 36778, 7572, 38294, 8828, 67726, 104309, 198, 53900, 5486, 124131, 84477, 108526, 16073, 39880, 115507, 102052, 33671, 120950, 102944, 115991, 33541, 9174, 31798, 1623, 602, 20244, 8519, 7968, 29966, 69924, 35175, 104309, 198, 16995, 101860, 33121, 32977, 106353, 82533, 55723, 30512, 121507, 39926, 79785, 126390, 116155, 54926, 100909, 121142, 91875, 55723, 33208, 125545, 1811, 32018, 109315, 105284, 71289, 33655, 16995, 104284, 46034, 104309, 55031, 122225, 39926, 5486, 104817, 43167, 103223, 64178, 71289, 39880, 115507, 30512, 102647, 104127, 64121, 38144, 72315, 9174, 91875, 55723, 114835, 16144, 32943, 105107, 33208, 105110, 13177, 10955, 74863, 691, 10646, 45631, 10955, 74863, 691, 10646, 15682, 5486, 107420, 29295, 33655, 30297, 105933, 104817, 43167, 121432, 16556, 112832, 72661, 112825, 110904, 20230, 91875, 55723, 126694, 30369, 105908, 108608, 91875, 55723, 114835, 103223, 64178, 38641, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 16144, 120098, 15682, 20, 59739, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 16144, 120098, 20230, 33671, 16144, 20, 59739, 29295, 123680, 102639, 102204, 33541, 9174, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 111848, 39850, 37823, 102040, 37823, 30512, 126120, 32149, 122101, 198, 126014, 32018, 103359, 47523, 30512, 104662, 109315, 198, 108044, 58942, 106956, 44915, 30512, 31958, 33503, 111201, 54926, 198, 12, 220, 19, 627, 127557, 71289, 22398, 124603, 30512, 49792, 101908, 54926, 198, 12, 220, 20, 627, 91875, 55723, 104817, 43167, 103223, 64178, 16556, 126120, 96455, 33208, 30512, 111629, 30369, 198, 115240, 30512, 91875, 55723, 33208, 54926, 41007, 15682, 77693, 108680, 111108, 102800, 102944, 77181, 124897, 119520, 5486, 105284, 16144, 126574, 91875, 55723, 117657, 104856, 104533, 114715, 102040, 65575, 33710, 29295, 30591, 29295, 31431, 33541, 9174, 105755, 126014, 32018, 8239, 114503, 16144, 126574, 91875, 55723, 117657, 103846, 105352, 5486, 110382, 77181, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 16144, 120098, 109853, 58426, 44915, 30512, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 20713, 7705, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 111848, 39850, 37823, 102040, 37823, 30512, 126120, 32149, 122101, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 15682, 5486, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 111848, 39850, 37823, 102040, 37823, 30512, 126120, 32149, 122101, 104466, 39926, 64121, 38144, 72315, 1811, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 107118, 111476, 115240, 71289, 117039, 5486, 57933, 62903, 71634, 5486, 111629, 83799, 104309, 20230, 79785, 71289, 91875, 50834, 30512, 21601, 107800, 91875, 55723, 16144, 100909, 38641, 9174, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 30512, 107740, 112990, 106353, 82533, 55723, 77181, 108044, 58942, 20230, 47884, 16995, 25197, 126989, 71289, 108134, 30512, 108044, 105262, 105908, 125545, 1811, 90620, 15024, 5486, 22398, 102803, 45923, 102895, 11972, 113468, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 126513, 5486, 90620, 115240, 30512, 22398, 102803, 45923, 120837, 91875, 55723, 102052, 91774, 58942, 107515, 9174, 114835, 110366, 16144, 37689, 111629, 29295, 33035, 100204, 30369, 104466, 71634, 111672, 11972, 34171, 114792, 28713, 72342, 5486, 108152, 38248, 114, 11972, 125030, 114598, 33503, 102334, 16995, 123120, 30512, 31958, 33503, 111201, 39926, 45918, 246, 106839, 78434, 1811, 110904, 104873, 26854, 91875, 55723, 101983, 110104, 101200, 5486, 91763, 124059, 114626, 103296, 91774, 38144, 114732, 105933, 49792, 101908, 30512, 118314, 33503, 103801, 109954, 9174, 25963, 7705, 126014, 32018, 103359, 47523, 30512, 104662, 109315, 198, 67645, 120950, 108152, 38248, 114, 11972, 20230, 91875, 55723, 104088, 111243, 33503, 30297, 32149, 30512, 104662, 109315, 123017, 107693, 26854, 120098, 16144, 16, 59739, 38641, 1811, 126014, 32018, 103359, 47523, 29295, 23187, 17129, 107462, 100604, 110674, 20230, 91875, 55723, 126694, 13153, 112990, 5486, 108044, 58942, 106956, 44915, 29295, 116213, 33121, 33541, 9174, 115464, 16556, 58426, 103359, 47523, 29295, 103350, 19000, 54926, 116421, 104466, 104398, 32149, 47884, 116700, 54926, 118881, 29295, 5486, 105755, 91875, 55723, 16144, 112169, 34171, 29295, 105755, 23187, 109709, 33541, 9174, 8107, 106036, 95, 71289, 34171, 103283, 5486, 8107, 110226, 123160, 80356, 30512, 102832, 61398, 20230, 126014, 32018, 103359, 47523, 30512, 104398, 17620, 33208, 39926, 64121, 38144, 72315, 9174, 80539, 5486, 122074, 56051, 47307, 38248, 110, 67075, 29295, 91875, 55723, 20230, 32018, 109315, 78683, 106240, 30512, 101067, 23187, 21105, 103, 29295, 33503, 114835, 20230, 108167, 103214, 104004, 105908, 5486, 8239, 114503, 16144, 126574, 91875, 55723, 19967, 13153, 107294, 105722, 31431, 33541, 9174, 34617, 7705, 108044, 58942, 106956, 44915, 30512, 31958, 33503, 111201, 54926, 198, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 113468, 99849, 30512, 108044, 58942, 106956, 104865, 30512, 30926, 112772, 31958, 33503, 111201, 103801, 109954, 9174, 13177, 17039, 106045, 14167, 100, 65854, 30512, 43167, 65854, 56051, 16995, 59712, 17039, 47043, 30512, 39880, 70563, 64178, 56051, 16995, 10646, 104309, 5486, 91875, 55723, 16144, 113173, 30512, 31958, 105184, 20230, 78434, 1811, 108044, 58942, 106956, 44915, 29295, 15682, 121381, 31431, 21105, 103, 16995, 91875, 55723, 15682, 107471, 109620, 26854, 104371, 47523, 30512, 58318, 107800, 31431, 5486, 44915, 20230, 52884, 44971, 29295, 21990, 100204, 115926, 54926, 126465, 107407, 55031, 38641, 9174, 80539, 111476, 108044, 58942, 106956, 44915, 29295, 104662, 17129, 104984, 47307, 38248, 110, 67075, 113115, 39926, 67645, 119775, 39880, 107420, 113335, 54926, 32149, 30512, 113727, 33541, 1811, 90620, 15024, 108149, 109709, 105352, 43240, 119064, 44915, 30512, 50520, 108, 62004, 121423, 103188, 105557, 104533, 5486, 32149, 58942, 76947, 108152, 38248, 114, 115247, 104371, 47523, 20230, 108618, 110104, 91875, 55723, 115717, 32149, 101832, 107515, 9174, 16, 22656, 16144, 91875, 55723, 16556, 108044, 105262, 44915, 15682, 108608, 103378, 58254, 252, 31431, 104526, 104004, 118733, 5486, 108152, 38248, 114, 11972, 20230, 91875, 55723, 16144, 37689, 111629, 29295, 105755, 108044, 116547, 126172, 115737, 31431, 33541, 9174, 46702, 7705, 127557, 71289, 22398, 124603, 30512, 49792, 101908, 54926, 198, 127557, 71289, 22398, 124603, 15682, 5486, 91875, 55723, 16144, 47260, 108304, 119495, 37087, 33014, 20230, 27384, 112495, 117375, 30512, 82317, 109416, 78434, 1811, 66378, 20230, 5486, 115240, 71289, 117039, 30512, 91875, 55723, 33208, 54926, 126513, 5486, 102446, 20834, 103306, 127557, 71289, 22398, 124603, 15682, 27384, 112495, 107734, 111017, 30512, 28873, 28713, 78434, 9174, 127557, 15682, 198, 44915, 20230, 114146, 28713, 33, 21287, 71289, 8239, 114503, 79785, 30512, 76706, 11883, 54926, 100909, 112212, 5486, 91875, 55723, 20230, 104526, 109013, 39850, 26269, 64810, 78767, 29295, 108044, 116547, 126172, 47884, 109020, 123253, 1811, 122270, 5486, 118370, 71289, 22398, 124603, 104309, 16556, 127242, 108134, 32977, 116155, 112990, 5486, 91875, 55723, 16144, 44915, 29295, 105755, 108044, 116547, 126172, 115737, 31431 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30512, 103856, 47884, 50928, 106956, 119150, 108152, 38248, 114, 11972, 125030, 76947, 98499, 64121, 104526, 104004, 23039, 101399, 15682, 66776, 126120, 96455, 116787, 5486, 108968, 16325, 16556, 106627, 110645, 54926, 125396, 29295, 45736, 47884, 109020, 16144, 38641, 9174, 15120, 24273, 16556, 5486, 115240, 30512, 91875, 55723, 33208, 54926, 118733, 108152, 38248, 114, 11972, 15682, 103984, 112854, 19732, 36735, 112, 112854, 124905, 105262, 103846, 5486, 72406, 121, 50834, 30369, 100909, 103470, 109215, 26854, 108134, 20230, 28713, 67645, 31431, 100815, 76622, 33541, 109807, 113702, 103306, 108152, 38248, 114, 115247, 103856, 23538, 106627, 110645, 30512, 103181, 105557, 5486, 114435, 29295, 108044, 58942, 106956, 39850, 26269, 64810, 78767, 30512, 21105, 96, 107277, 19732, 126014, 32018, 125545, 9174, 34617, 7705, 47307, 38248, 110, 67075, 16144, 104371, 47523, 20230, 108618, 31431, 126172, 16995, 198, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 15682, 5486, 47307, 38248, 110, 67075, 16144, 104371, 47523, 20230, 104195, 47884, 108618, 31431, 126172, 16995, 28542, 32977, 27384, 112495, 39850, 37823, 67075, 16144, 16, 59739, 38641, 1811, 28713, 19732, 116285, 5486, 111926, 10190, 16556, 89753, 104028, 39850, 42634, 103857, 38248, 226, 123646, 106240, 116825, 16995, 40526, 101860, 98369, 36785, 106613, 111186, 107407, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 1811, 76171, 80805, 110548, 16144, 101182, 115240, 71289, 33, 21287, 5486, 96452, 44971, 38248, 115, 78205, 16073, 104309, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 5486, 106063, 37026, 16144, 71634, 111672, 11972, 34171, 71289, 102446, 20834, 30512, 125894, 33655, 54926, 118733, 5486, 108152, 38248, 114, 11972, 20230, 104195, 47884, 104371, 47523, 30512, 108618, 17663, 105908, 88367, 38641, 9174, 122270, 5486, 115240, 30512, 91875, 55723, 33208, 54926, 118733, 198, 13177, 91875, 50834, 10646, 111848, 118969, 75694, 17129, 26854, 122984, 117824, 58942, 33541, 1811, 47043, 122984, 123160, 75267, 28190, 127303, 104984, 5486, 103350, 104983, 20230, 38129, 56051, 104983, 16144, 103826, 45829, 30512, 22398, 102803, 45923, 16556, 126362, 56051, 31431, 5486, 50338, 108323, 30512, 96452, 44971, 38248, 115, 78205, 16073, 16556, 111983, 102780, 56051, 31431, 102083, 100472, 41007, 16556, 5486, 105755, 104195, 47884, 104371, 47523, 109669, 105784, 105908, 108608, 123253, 9174, 106353, 82533, 55723, 55031, 91875, 55723, 126694, 13153, 54926, 18, 118821, 41007, 198, 118288, 37271, 5486, 91875, 55723, 108285, 58655, 117903, 15682, 27384, 112495, 108285, 29295, 31431, 104088, 127397, 108086, 106116, 16325, 72661, 124131, 84477, 108526, 16073, 70141, 76622, 16144, 19967, 13153, 103223, 64178, 16144, 110095, 16995, 15682, 30832, 112854, 17129, 102800, 102944, 115991, 33541, 1811, 107943, 124131, 84477, 108526, 16073, 70141, 76622, 16144, 103223, 64178, 30512, 96412, 62004, 5486, 106353, 82533, 55723, 55031, 91875, 55723, 126694, 13153, 54926, 106691, 9554, 16144, 41007, 15682, 33671, 16144, 18, 59739, 38641, 9174, 12, 220, 16, 627, 106353, 82533, 55723, 55031, 22398, 102803, 45923, 102895, 11972, 126694, 30369, 198, 12, 220, 17, 627, 47260, 68759, 102860, 118372, 16556, 19967, 30369, 198, 12, 220, 18, 627, 16, 109577, 16144, 106353, 82533, 55723, 20230, 79785, 126390, 110498, 122101, 198, 91875, 55723, 19967, 13153, 123863, 53283, 109375, 71289, 22398, 62903, 33710, 5486, 117501, 104309, 20230, 106608, 100204, 38144, 37026, 61337, 20230, 40862, 30297, 41007, 30512, 121507, 39926, 64121, 38144, 72315, 9174, 20713, 7705, 106353, 82533, 55723, 55031, 22398, 102803, 45923, 102895, 11972, 126694, 30369, 198, 106353, 82533, 55723, 30512, 11883, 102334, 22398, 102803, 45923, 102895, 115247, 19967, 13153, 113468, 91875, 55723, 33208, 29295, 125545, 1811, 22398, 102803, 45923, 102895, 11972, 107118, 5486, 109242, 9039, 56051, 115240, 30512, 89046, 106307, 112535, 52563, 124545, 100909, 38641, 9174, 112599, 15682, 5486, 124131, 84477, 108526, 16073, 39880, 115507, 113468, 22398, 102803, 45923, 102895, 11972, 30512, 112825, 110904, 20230, 19967, 13153, 108608, 101200, 115717, 79721, 1811, 22398, 102803, 45923, 102895, 11972, 29295, 19967, 13153, 108608, 39880, 115507, 16144, 27452, 15682, 33671, 16144, 19732, 108086, 38641, 9174, 7594, 45800, 41628, 17216, 12420, 38728, 5482, 19771, 21608, 6178, 7968, 104309, 198, 85701, 103296, 115240, 16144, 22398, 102803, 45923, 102895, 11972, 126694, 13153, 56051, 106613, 111186, 119703, 17792, 72661, 5486, 124131, 84477, 108526, 16073, 39880, 115507, 30512, 107740, 126693, 117039, 71289, 115240, 5486, 127557, 30512, 121507, 54926, 121142, 112825, 110904, 20230, 91875, 55723, 33208, 125545, 9174, 25963, 7705, 47260, 68759, 102860, 118372, 16556, 19967, 30369, 198, 47260, 68759, 102860, 118372, 17905, 16556, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 41007, 32977, 57903, 33541, 1811, 57326, 77750, 32131, 68759, 11972, 104309, 29295, 111199, 16995, 55723, 28190, 121254, 126469, 62903, 125024, 65575, 30512, 76537, 103836, 110783, 30512, 111926, 71289, 120366, 104309, 16556, 91774, 28713, 105908, 101182, 24273, 32977, 43240, 117201, 109954, 9174, 58426, 111199, 16995, 55723, 28190, 30512, 198, 13177, 47260, 68759, 102860, 118372, 10646, 112031, 105324, 102802, 33541, 1811, 47260, 68759, 102860, 118372, 17905, 16556, 62903, 125024, 65575, 55031, 17701, 48634, 56051, 57933, 62903, 71634, 113468, 109713, 70563, 72369, 120770, 20230, 118279, 30512, 20834, 39926, 104774, 106696, 104088, 115926, 5486, 44915, 30512, 122489, 56051, 31431, 54926, 16144, 38641, 9174, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 102052, 198, 13177, 73522, 66383, 95604, 47260, 68759, 102860, 30512, 38129, 78434, 1811, 73522, 15682, 5486, 91875, 55723, 71289, 79785, 71174, 16144, 40862, 13153, 71289, 55723, 105284, 122489, 123160, 104817, 43167, 121432, 114792, 59739, 102944, 38641, 127211, 17129, 107188, 19967, 13153, 16144, 89753, 33121, 15682, 33671, 16144, 121640, 38641, 9174, 106353, 82533, 55723, 77693, 108422, 33121, 20230, 111419, 82973, 52563, 54926, 91875, 55723, 126694, 13153, 109145, 13153, 56051, 91875, 55723, 42016, 101559, 30512, 103721, 233, 102639, 30369, 10447, 117, 233, 102639, 28713, 91875, 55723, 20230, 33, 21287, 30512, 47000, 105784, 198, 90620, 15024, 5486, 47260, 68759, 102860, 118372, 123863, 53283, 109375, 30512, 32977, 107462, 100604, 24273, 102052, 114715, 111108, 87844, 27479, 16144, 126574, 19967, 31431, 24273, 102083, 105262, 123253, 9174, 34617, 7705, 16, 109577, 16144, 106353, 82533, 55723, 20230, 79785, 126390, 16144, 122101, 198, 16, 109577, 16144, 106353, 82533, 55723, 113115, 39926, 79785, 126390, 16144, 122101, 118733, 91875, 55723, 33208, 54926, 123017, 41007, 112028, 59739, 38641, 1811, 16, 109577, 16144, 117039, 71289, 115240, 20230, 127557, 71289, 79785, 71174, 104309, 116825, 105784, 103378, 72661, 5486, 36735, 112, 112854, 124905, 30297, 118733, 104371, 47523, 29295, 104721, 116547, 33541, 9174, 16, 109577, 16144, 106353, 82533, 55723, 20230, 79785, 126390, 110498, 122101, 102052, 5486, 80805, 102741, 109713, 16144, 104817, 43167, 103223, 64178, 71289, 124131, 84477, 108526, 16073, 39880, 115507, 30512, 11883, 107991, 112973, 108936, 9554, 38641, 1811, 106691, 109904, 80805, 102741, 109713, 16144, 104817, 43167, 103223, 64178, 15682, 33671, 16144, 19732, 108086, 38641, 9174, 10835, 1223, 4126, 6995, 45800, 36778, 7572, 38294, 8828, 67726, 104309, 198, 53900, 5486, 124131, 84477, 108526, 16073, 39880, 115507, 102052, 33671, 120950, 102944, 115991, 33541, 9174, 31798, 1623, 602, 20244, 8519, 7968, 29966, 69924, 35175, 104309, 198, 16995, 101860, 33121, 32977, 106353, 82533, 55723, 30512, 121507, 39926, 79785, 126390, 116155, 54926, 100909, 121142, 91875, 55723, 33208, 125545, 1811, 32018, 109315, 105284, 71289, 33655, 16995, 104284, 46034, 104309, 55031, 122225, 39926, 5486, 104817, 43167, 103223, 64178, 71289, 39880, 115507, 30512, 102647, 104127, 64121, 38144, 72315, 9174, 91875, 55723, 114835, 16144, 32943, 105107, 33208, 105110, 13177, 10955, 74863, 691, 10646, 45631, 10955, 74863, 691, 10646, 15682, 5486, 107420, 29295, 33655, 30297, 105933, 104817, 43167, 121432, 16556, 112832, 72661, 112825, 110904, 20230, 91875, 55723, 126694, 30369, 105908, 108608, 91875, 55723, 114835, 103223, 64178, 38641, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 16144, 120098, 15682, 20, 59739, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 16144, 120098, 20230, 33671, 16144, 20, 59739, 29295, 123680, 102639, 102204, 33541, 9174, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 111848, 39850, 37823, 102040, 37823, 30512, 126120, 32149, 122101, 198, 126014, 32018, 103359, 47523, 30512, 104662, 109315, 198, 108044, 58942, 106956, 44915, 30512, 31958, 33503, 111201, 54926, 198, 12, 220, 19, 627, 127557, 71289, 22398, 124603, 30512, 49792, 101908, 54926, 198, 12, 220, 20, 627, 91875, 55723, 104817, 43167, 103223, 64178, 16556, 126120, 96455, 33208, 30512, 111629, 30369, 198, 115240, 30512, 91875, 55723, 33208, 54926, 41007, 15682, 77693, 108680, 111108, 102800, 102944, 77181, 124897, 119520, 5486, 105284, 16144, 126574, 91875, 55723, 117657, 104856, 104533, 114715, 102040, 65575, 33710, 29295, 30591, 29295, 31431, 33541, 9174, 105755, 126014, 32018, 8239, 114503, 16144, 126574, 91875, 55723, 117657, 103846, 105352, 5486, 110382, 77181, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 16144, 120098, 109853, 58426, 44915, 30512, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 20713, 7705, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 111848, 39850, 37823, 102040, 37823, 30512, 126120, 32149, 122101, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 15682, 5486, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 111848, 39850, 37823, 102040, 37823, 30512, 126120, 32149, 122101, 104466, 39926, 64121, 38144, 72315, 1811, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 107118, 111476, 115240, 71289, 117039, 5486, 57933, 62903, 71634, 5486, 111629, 83799, 104309, 20230, 79785, 71289, 91875, 50834, 30512, 21601, 107800, 91875, 55723, 16144, 100909, 38641, 9174, 102494, 38248, 115, 78205, 94550, 32131, 106384, 107840, 30512, 107740, 112990, 106353, 82533, 55723, 77181, 108044, 58942, 20230, 47884, 16995, 25197, 126989, 71289, 108134, 30512, 108044, 105262, 105908, 125545, 1811, 90620, 15024, 5486, 22398, 102803, 45923, 102895, 11972, 113468, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 126513, 5486, 90620, 115240, 30512, 22398, 102803, 45923, 120837, 91875, 55723, 102052, 91774, 58942, 107515, 9174, 114835, 110366, 16144, 37689, 111629, 29295, 33035, 100204, 30369, 104466, 71634, 111672, 11972, 34171, 114792, 28713, 72342, 5486, 108152, 38248, 114, 11972, 125030, 114598, 33503, 102334, 16995, 123120, 30512, 31958, 33503, 111201, 39926, 45918, 246, 106839, 78434, 1811, 110904, 104873, 26854, 91875, 55723, 101983, 110104, 101200, 5486, 91763, 124059, 114626, 103296, 91774, 38144, 114732, 105933, 49792, 101908, 30512, 118314, 33503, 103801, 109954, 9174, 25963, 7705, 126014, 32018, 103359, 47523, 30512, 104662, 109315, 198, 67645, 120950, 108152, 38248, 114, 11972, 20230, 91875, 55723, 104088, 111243, 33503, 30297, 32149, 30512, 104662, 109315, 123017, 107693, 26854, 120098, 16144, 16, 59739, 38641, 1811, 126014, 32018, 103359, 47523, 29295, 23187, 17129, 107462, 100604, 110674, 20230, 91875, 55723, 126694, 13153, 112990, 5486, 108044, 58942, 106956, 44915, 29295, 116213, 33121, 33541, 9174, 115464, 16556, 58426, 103359, 47523, 29295, 103350, 19000, 54926, 116421, 104466, 104398, 32149, 47884, 116700, 54926, 118881, 29295, 5486, 105755, 91875, 55723, 16144, 112169, 34171, 29295, 105755, 23187, 109709, 33541, 9174, 8107, 106036, 95, 71289, 34171, 103283, 5486, 8107, 110226, 123160, 80356, 30512, 102832, 61398, 20230, 126014, 32018, 103359, 47523, 30512, 104398, 17620, 33208, 39926, 64121, 38144, 72315, 9174, 80539, 5486, 122074, 56051, 47307, 38248, 110, 67075, 29295, 91875, 55723, 20230, 32018, 109315, 78683, 106240, 30512, 101067, 23187, 21105, 103, 29295, 33503, 114835, 20230, 108167, 103214, 104004, 105908, 5486, 8239, 114503, 16144, 126574, 91875, 55723, 19967, 13153, 107294, 105722, 31431, 33541, 9174, 34617, 7705, 108044, 58942, 106956, 44915, 30512, 31958, 33503, 111201, 54926, 198, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 113468, 99849, 30512, 108044, 58942, 106956, 104865, 30512, 30926, 112772, 31958, 33503, 111201, 103801, 109954, 9174, 13177, 17039, 106045, 14167, 100, 65854, 30512, 43167, 65854, 56051, 16995, 59712, 17039, 47043, 30512, 39880, 70563, 64178, 56051, 16995, 10646, 104309, 5486, 91875, 55723, 16144, 113173, 30512, 31958, 105184, 20230, 78434, 1811, 108044, 58942, 106956, 44915, 29295, 15682, 121381, 31431, 21105, 103, 16995, 91875, 55723, 15682, 107471, 109620, 26854, 104371, 47523, 30512, 58318, 107800, 31431, 5486, 44915, 20230, 52884, 44971, 29295, 21990, 100204, 115926, 54926, 126465, 107407, 55031, 38641, 9174, 80539, 111476, 108044, 58942, 106956, 44915, 29295, 104662, 17129, 104984, 47307, 38248, 110, 67075, 113115, 39926, 67645, 119775, 39880, 107420, 113335, 54926, 32149, 30512, 113727, 33541, 1811, 90620, 15024, 108149, 109709, 105352, 43240, 119064, 44915, 30512, 50520, 108, 62004, 121423, 103188, 105557, 104533, 5486, 32149, 58942, 76947, 108152, 38248, 114, 115247, 104371, 47523, 20230, 108618, 110104, 91875, 55723, 115717, 32149, 101832, 107515, 9174, 16, 22656, 16144, 91875, 55723, 16556, 108044, 105262, 44915, 15682, 108608, 103378, 58254, 252, 31431, 104526, 104004, 118733, 5486, 108152, 38248, 114, 11972, 20230, 91875, 55723, 16144, 37689, 111629, 29295, 105755, 108044, 116547, 126172, 115737, 31431, 33541, 9174, 46702, 7705, 127557, 71289, 22398, 124603, 30512, 49792, 101908, 54926, 198, 127557, 71289, 22398, 124603, 15682, 5486, 91875, 55723, 16144, 47260, 108304, 119495, 37087, 33014, 20230, 27384, 112495, 117375, 30512, 82317, 109416, 78434, 1811, 66378, 20230, 5486, 115240, 71289, 117039, 30512, 91875, 55723, 33208, 54926, 126513, 5486, 102446, 20834, 103306, 127557, 71289, 22398, 124603, 15682, 27384, 112495, 107734, 111017, 30512, 28873, 28713, 78434, 9174, 127557, 15682, 198, 44915, 20230, 114146, 28713, 33, 21287, 71289, 8239, 114503, 79785, 30512, 76706, 11883, 54926, 100909, 112212, 5486, 91875, 55723, 20230, 104526, 109013, 39850, 26269, 64810, 78767, 29295, 108044, 116547, 126172, 47884, 109020, 123253, 1811, 122270, 5486, 118370, 71289, 22398, 124603, 104309, 16556, 127242, 108134, 32977, 116155, 112990, 5486, 91875, 55723, 16144, 44915, 29295, 105755, 108044, 116547, 126172, 115737, 31431 ]
[ 33541, 1811, 90620, 15024, 5486, 109215, 71689, 20230, 43240, 11883, 112990, 104371, 47523, 30512, 125173, 101832, 30369, 125396, 32977, 101182, 103846, 61633, 29295, 109215, 38641, 9174, 44597, 7705, 91875, 55723, 104817, 43167, 103223, 64178, 16556, 126120, 96455, 33208, 30512, 111629, 30369, 198, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 20230, 48249, 121140, 5486, 91875, 55723, 19967, 13153, 102052, 98897, 55723, 71289, 106391, 13153, 5486, 125152, 58322, 5486, 104817, 43167, 102083, 100472, 22398, 62903, 33710, 29295, 32018, 62004, 102204, 33541, 1811, 90620, 15024, 115847, 120577, 109215, 22398, 62903, 33710, 15682, 114225, 20230, 96356, 107294, 47884, 102944, 77181, 124897, 9174, 66378, 20230, 5486, 104817, 43167, 16144, 104010, 77181, 114363, 11883, 16144, 91875, 55723, 104817, 43167, 102741, 112508, 124905, 100472, 118969, 75694, 17129, 26854, 117041, 104309, 29295, 109215, 38641, 1811, 122270, 5486, 114435, 113468, 15682, 91875, 55723, 104817, 43167, 114556, 78183, 30369, 17792, 71289, 82973, 123160, 37823, 102741, 61398, 105184, 33563, 29295, 111108, 102800, 102677, 126465, 32977, 113727, 102204, 33541, 9174, 51330, 105933, 126513, 13177, 91875, 55723, 115681, 45059, 125175, 117503, 76706, 11883, 126130, 125683, 62004, 78434, 1811, 91875, 55723, 115681, 45059, 103223, 64178, 127303, 104984, 5486, 106353, 82533, 55723, 71289, 57933, 62903, 71634, 5486, 127557, 123160, 72238, 103234, 19732, 57933, 108969, 44971, 84477, 30512, 102647, 104369, 121142, 45736, 25446, 105284, 26854, 91875, 55723, 126694, 13153, 125545, 1811, 91875, 55723, 114835, 16144, 106613, 111186, 71289, 22398, 62903, 33710, 20230, 127408, 16144, 101182, 114435, 77181, 5486, 112371, 104328, 107740, 30512, 111800, 118219, 39926, 64121, 38144, 72315, 9174, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 15682, 91875, 55723, 104817, 43167, 103223, 64178, 119279, 125683, 62004, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 5486, 90620, 115240, 30512, 103214, 64121, 114146, 90620, 76622, 77181, 108152, 38248, 114, 115247, 64209, 30512, 91875, 32149, 17663, 109335, 103082, 107515, 66327, 126014, 32018, 103359, 47523, 10646, 71289, 13177, 108044, 58942, 106956, 44915, 118587, 31958, 33503, 111201, 56051, 30297, 58942, 16556, 5486, 108152, 38248, 114, 115247, 32018, 109315, 44915, 30512, 15017, 231, 107800, 91875, 55723, 114835, 29295, 32018, 62004, 102204, 33541, 9174, 90620, 15024, 5486, 61337, 32943, 122692, 37823, 102741, 61398, 105184, 33563, 71289, 22398, 62903, 33710, 122635, 16144, 28190, 16556, 111681, 104482, 107407, 114435, 29295, 43240, 117714, 32977, 30926, 103350, 38641, 109807, 105933, 101128, 102, 64121, 114792, 59739, 114435, 126913, 112919, 24273, 102052, 5486, 91875, 55723, 115681, 45059, 103223, 64178, 16144, 13177, 10955, 74863, 691, 10110, 91482, 68408, 90962, 52884, 44971, 76171, 7705, 10646, 10646, 126130, 125683, 62004, 78434, 9174, 10955, 74863, 691, 127303, 104984, 5486, 106353, 82533, 55723, 30512, 107740, 56051, 61648, 27479, 16144, 126574, 91875, 55723, 30512, 112825, 110904, 20230, 114835, 125545, 109807, 41007, 15682, 5486, 119515, 105469, 20230, 11883, 37689, 103646, 57933, 108969, 44971, 84477, 20230, 115240, 71289, 127557, 5486, 96452, 44971, 38248, 115, 78205, 16073, 104309, 30512, 30775, 123, 17701, 54926, 103378, 38641, 9174, 122270, 5486, 96452, 44971, 38248, 115, 78205, 16073, 71289, 22398, 117243, 116700, 115132, 120292, 38248, 115, 78205, 16073, 116700, 104309, 17039, 28713, 26854, 121432, 32977, 106161, 39177, 122060, 68408, 84477, 116216, 108086, 5486, 108152, 38248, 114, 115247, 78683, 106240, 20230, 114146, 38144, 111764, 20230, 91875, 55723, 30512, 104817, 43167, 125545, 1811, 120098, 30512, 110408, 30813, 107800, 91875, 55723, 104817, 43167, 30512, 46034, 117355, 120650, 102334, 16995, 126513, 5486, 112371, 104328, 10955, 74863, 691, 30512, 76706, 11883, 39926, 64121, 38144, 72315, 9174, 51330, 77219, 30512, 122908, 39880, 54926, 128001, 128000, 109898, 101275, 98220, 16144, 104371, 85188, 102052, 5486, 114601, 34048, 9039, 104371, 85188, 19732, 103350, 105525, 104371, 85188, 16144, 17, 104091, 104770, 107407, 1811, 13870, 232, 61337, 15682, 102717, 109416, 114601, 34048, 9039, 104371, 85188, 16144, 41401, 24186, 19732, 19732, 67016, 117876, 30512, 109768, 100604, 29295, 5486, 110298, 9458, 16325, 106613, 109898, 104309, 15682, 10110, 28713, 104369, 25827, 42, 1846, 4012, 14757, 32, 16144, 118482, 34048, 103306, 107809, 106613, 109898, 112987, 17129, 32977, 109846, 65459, 103350, 105525, 104371, 85188, 30512, 118935, 11883, 103792, 9174, 114601, 34048, 9039, 104371, 85188, 107118, 5486, 105525, 104028, 5486, 105525, 110615, 112649, 124233, 121140, 5486, 114601, 100472, 17620, 103378, 104371, 85188, 30512, 124237, 30297, 102677, 106548, 103214, 64121, 103195, 1811, 59739, 109709, 5486, 53229, 95001, 20230, 103214, 64121, 104526, 104004, 102677, 113727, 24273, 36785, 9174, 16995, 17129, 16144, 109898, 101275, 98220, 77181, 5486, 103350, 105525, 96455, 29295, 1490, 113127, 103296, 16995, 76622, 81219, 17905, 50667, 103195, 10110, 85707, 41401, 16144, 118935, 70203, 17620, 58699, 238, 28542, 29295, 5486, 108936, 16144, 41401, 24186, 15682, 36785, 102334, 16995, 1399, 113127, 20230, 116700, 110731, 1811, 115274, 16144, 103350, 105525, 96455, 15682, 1135, 113127, 55038, 74482, 103268, 109846, 14382, 75376, 51330, 105525, 106824, 100604, 110115, 124237, 103836, 508, 113127, 15682, 43568, 102147, 226, 110034, 32149, 19732, 123085, 72661, 10110, 33334, 27929, 124749, 7705, 112832, 32149, 29295, 91763, 108064, 102532, 105335, 84477, 56051, 112973, 5486, 103350, 105525, 104371, 85188, 102677, 123141, 36785, 1811, 125559, 77181, 25580, 124237, 35330, 19732, 103350, 105525, 104371, 85188, 16144, 125702, 11883, 123141, 29295, 105335, 108506, 65575, 26854, 105879, 5486, 41758, 42634, 112164, 33710, 20230, 114146, 28713, 107173, 78244, 105262, 9174, 103350, 105525, 104371, 85188, 16144, 109606, 28542, 15682, 105104, 28713, 59739, 101182, 1811, 115303, 59739, 15682, 116898, 17129, 16144, 109898, 101275, 98220, 16144, 123141, 77181, 112810, 16144, 22656, 16144, 103350, 105525, 30512, 108038, 20230, 102178, 111665, 118765, 100909, 10110, 102865, 16144, 102181, 72516, 15682, 17914, 44971, 76428, 104309, 29295, 106839, 17701, 116216, 33334, 121140, 5486, 105525, 103468, 32149, 105525, 106824, 100604, 32149, 29295, 102178, 111665, 118765, 75376, 108031, 115303, 59739, 15682, 5486, 105525, 33121, 104435, 107803, 20230, 109755, 85791, 106624, 103167, 16995, 104371, 85188, 109518, 108176, 102677, 100909, 36785, 1811, 9039, 102718, 34048, 67016, 105525, 110615, 22656, 29295, 58911, 108680, 101182, 102321, 103397, 77181, 5486, 18, 71493, 9953, 32149, 107441, 102181, 102532, 5486, 104371, 85188, 9039, 110743, 102677, 115789, 125119, 31431, 30297, 30369, 9174, 110924, 16556, 123085, 16144, 10110, 112810, 16144, 22656, 16144, 7705, 103350, 105525, 104371, 85188, 16556, 105335, 108506, 65575, 104856, 103836, 112973, 5486, 114035, 107086, 20230, 100604, 102944, 15682, 105525, 103468, 19732, 64121, 110214, 5486, 85707, 41401, 104371, 85188, 16144, 103268, 109518, 15682, 33563, 110322, 54926, 102677, 123141, 36785, 9174, 75694, 121710, 31431, 112844, 19732, 5486, 85707, 41401, 29295, 2636, 15, 34048, 36785, 114267, 33503, 5486, 121225, 15682, 5486, 114601, 31431, 34048, 9039, 18028, 104371, 85188, 96455, 18028, 15, 13, 20, 30512, 102700, 30046, 20230, 126843, 46456, 124237, 30297, 10110, 5154, 15, 119752, 17620, 16144, 104371, 85188, 75376, 103268, 8107, 123090, 114035, 107086, 19000, 107086, 29295, 3965, 15, 119752, 105693, 114267, 33503, 5486, 1041, 15, 119752, 17620, 16144, 104371, 85188, 30512, 116155, 16556, 46456, 124237, 30297, 1811, 122270, 103268, 8107, 74482, 5486, 114035, 107086, 19000, 107086, 29295, 5245, 15, 119752, 110276, 103306, 32977, 5486, 102700, 30046, 15682, 104196, 35330, 54926, 109215, 119703, 102677, 106548, 103214, 64121, 103195, 9174, 102700, 30046, 15682, 104371, 85188, 29295, 9039, 110743, 102677, 30926, 107328, 15682, 18904, 111098, 108608, 15024, 5486, 121225, 32977, 3965, 15, 119752, 17620, 10110, 37087, 33014, 16144, 966, 113127, 7705, 16144, 104371, 85188, 15682, 46456, 124237, 78183, 103470, 100481, 16995, 105879, 5486, 17905, 61304, 16144, 22656, 15682, 71289, 71289, 109657, 19113, 115717, 102131, 109846, 5486, 109657, 19113, 109518, 30512, 123332, 31809, 108608, 9174, 114601, 34048, 9039, 104371, 85188, 19732, 57106, 115694, 102700, 112919, 39850, 37823, 67075, 15682, 115303, 59739, 126758, 105879, 5486, 102321, 39177, 28542, 77181, 5486, 13870, 232, 61337, 15682, 102700, 30046, 20230, 103350, 105525, 104371, 85188, 16144, 121225, 126130, 125683, 62004, 109768, 21105, 103, 16995, 10110, 83747, 104680, 16144, 104371, 85188, 112997, 29220, 30512, 18655, 110615, 98897, 55723, 105110, 109898, 104088, 37705, 104984, 104712, 106046, 103836, 1811, 90620, 16556, 30813, 58942, 22656, 15682, 20834, 103188, 105557, 36785, 123505, 90620, 5486, 37087, 33014, 112535, 85707, 41401, 34048, 9039, 29295, 83747, 103470, 109020, 26854, 32149, 16556, 5486, 23187, 95001, 30512, 103167, 47884, 109205, 69978, 54926, 113009, 104371, 85188, 109518, 30512, 114485, 33503, 17663, 41401, 24186, 29295, 115079, 58942, 100481, 108112, 103950, 15024, 10110, 104371, 85188, 30512, 16, 113127, 114485, 33503, 17663, 19732, 5486, 53229, 95001, 96455, 15682, 16, 13, 20, 113127, 120264, 17297, 29295, 30369, 65459, 103350, 105525, 104371, 85188, 30512, 118935, 11883, 54926, 110229, 32977, 115079, 107290, 109749, 108995, 9174, 43514, 26854, 64121, 20230, 5486, 120115, 102181, 108847, 16144, 107803, 5486, 46456, 124237, 126832, 104371, 85188, 15682, 126920, 103350, 105525, 17620, 103378, 26854, 105879, 5486, 106548, 103214, 64121, 15682, 78183, 107277, 126172, 16995, 1811, 108936, 102181, 114556, 39926, 15682, 104371, 85188, 29295, 9039, 110743, 23897, 32943, 108176, 105908, 102717, 19732, 124592, 16556, 5486, 120115, 102181, 108847, 116771, 16556, 118935, 70203, 30512, 19732, 30369, 104468, 57237, 111108, 16144, 101275, 109846, 1811, 128001, 128000, 25904, 109832, 101275, 112919, 106901, 48552, 9458, 45923, 38248, 115, 11972, 105514, 29295, 119869, 16144, 103223, 25197, 84477, 30512, 45, 4082, 103306, 114421, 39926, 103664, 18, 117913, 35757, 16556, 102936, 116510, 103646, 30926, 16556, 102433, 72661, 27384, 112495, 87177, 104482, 121711, 5486, 102208, 29504, 16556, 106307, 104680, 19732, 68408, 76428, 122258, 39880, 84477, 30512, 45, 4082, 103306, 114421, 54926, 91875, 50834, 29295, 106307, 119188, 1811, 33, 2176, 698, 16144, 529, 11769, 14097, 1389, 578, 5629, 220, 2636, 15, 21882, 529, 102677, 68408, 76428, 122258, 39880, 84477, 15682, 2075, 117913, 35757, 16556, 102936, 116510, 107001, 104309, 106116, 45736, 109518, 30813, 102052, 121602, 32149, 107001, 9174, 68408, 76428, 122258, 39880, 84477, 30512, 45, 4082, 103306, 114421, 120837, 106116, 106942, 37026, 33014, 16144, 47260, 93298, 15682, 103048, 110615, 15024, 117119, 105110, 106942, 16144, 47260, 52414, 32131, 110548, 39880, 45923, 108744, 19732, 20251, 105048, 16073, 926, 124905, 76947, 29220, 76739, 37823, 30512, 45059, 39926, 5877, 102, 76622, 81219, 5486, 112832, 72661, 68408, 76428, 122258, 39880, 84477, 37026, 33014, 30512, 99959, 115691, 42634, 65575, 108608, 9174, 77693, 72661, 13177, 95001, 112603, 107407, 66383, 78244, 105262, 104468, 36896, 109298, 109298, 20230, 119869, 20230, 10634, 111, 117913, 35757, 46456, 124237, 100472, 66383, 95604, 95001, 112603, 116787, 115847, 15682, 102321, 31640, 39880, 84477, 16556, 103087, 106518, 46729, 29295, 117813, 103991, 102512, 30512, 13177, 19967, 30369, 10646, 17161, 101171, 230, 19732, 112361, 103195, 59459, 102321, 31640, 39880, 84477, 16144, 95001, 112603, 115376, 109853, 15682, 103188, 86436, 77219, 72661, 78244, 82317, 103792, 1811, 23954, 80673, 5486, 51385, 87844, 20230, 68408, 76428, 122258, 39880, 84477, 30512, 45, 4082, 103306, 114421, 54926, 100909, 102052, 27384, 112495, 112997, 29220, 30512, 112183, 30297, 120266, 61633, 21105, 103, 118145, 105110, 100604, 9174, 105184, 111201, 122571, 45, 4082, 111848, 68408, 76428, 122258, 39880, 84477, 102052, 95001, 112603, 107407, 19732, 115791, 109900, 20230, 103001, 246, 49691, 121, 31431, 15682, 43568, 16995, 119520, 5486, 110577, 25359, 16144, 45, 4082, 39880, 84477, 16144, 18655, 73686, 125540, 67075, 108526, 103202, 30512, 75910, 56051, 114421, 102052, 112997, 29220, 107407, 9174, 122582, 3378, 8653, 105621, 84477, 111234, 25197, 16144, 119962, 109349, 244, 112997, 29220, 103195, 9174, 68408, 76428, 122258, 39880, 84477, 30512, 45, 4082, 103306, 114421, 56051, 107803, 5486, 45, 4082, 20230, 96412, 17129, 104028, 104468, 108149, 47884, 17129, 72661, 47260, 52414, 32131, 110548, 39880, 45923, 108744, 19732, 20251, 105048, 16073, 926, 103195, 1811, 25580, 30046, 113468, 5486, 105184, 111201, 45, 4082, 39880, 84477, 29295, 18655, 73686, 103646, 123259, 114172, 30512, 110322, 31958, 103082, 108048, 29295, 45, 4082, 39880, 84477, 16144, 95001, 112603, 16144, 39084, 109026, 19732, 78244, 105262, 119520, 5486, 74482, 30046, 15682, 30591, 47884, 17129, 72661, 926, 116787, 5486, 103350, 104983, 16144, 106942, 15682, 10110, 27384, 112495, 119526, 16144, 107803, 5486, 7705, 3378, 8653, 118823, 102756, 105048, 17905, 16144, 17620, 107471, 55038, 13821, 111, 20230, 57933, 62903, 71634, 103306, 107471, 33503, 81219, 103836, 121894, 103195, 9174, 47, 17, 47, 124905, 100472, 3378, 8653, 118823, 102756, 105048, 15682, 47260, 108304, 119495, 64467, 70141, 16144, 118823, 102756, 105048, 19732, 117952, 33121, 5486, 110577, 25359, 16144, 9412, 120950, 42634, 102663, 38248, 115, 78205, 16073, 64467, 70141, 16144, 118823, 102756, 105048, 103195, 1811, 42634, 102663, 38248, 115, 78205, 16073, 64467, 70141, 19732, 78244, 116285, 111476, 103359, 39926, 5486, 47260, 108304, 119495, 64467, 70141, 118823, 102756, 105048, 15682, 5486, 116245, 126194, 13177, 47260, 108304, 119495, 10646, 29295, 104356, 104856, 76947, 108086, 5486, 45, 4082, 39880, 84477, 16144, 107803, 106116, 20251, 105048, 16073, 926, 30512, 109823, 54926, 118733, 5486, 106942, 20230, 39880, 122086, 22398, 54926, 102677, 83799, 103195, 9174, 80673, 5486, 3378, 8653, 118823, 102756, 105048, 32977, 108149, 47884, 17129, 72661, 110577, 25359, 16144, 9412, 118823, 102756, 105048, 16144, 26955, 94, 105714, 16556, 19967, 109115, 102944, 103195, 1811, 9412, 118823, 102756, 105048, 55031, 3378, 8653, 118823, 102756, 105048, 102052, 5486, 110577, 25359, 16144, 3222, 16144, 83799, 16556, 39880, 122086, 22398, 54926, 100909, 108176, 113637, 39177, 5486, 9412, 118823, 102756, 105048, 55031, 3378, 8653, 118823, 102756, 105048, 111363, 106613, 47095, 30512, 104908, 54926, 3378, 8653, 105621, 84477, 111234, 25197, 29295, 109215, 117282, 9174, 102321, 103397, 5486, 120351 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33541, 1811, 90620, 15024, 5486, 109215, 71689, 20230, 43240, 11883, 112990, 104371, 47523, 30512, 125173, 101832, 30369, 125396, 32977, 101182, 103846, 61633, 29295, 109215, 38641, 9174, 44597, 7705, 91875, 55723, 104817, 43167, 103223, 64178, 16556, 126120, 96455, 33208, 30512, 111629, 30369, 198, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 20230, 48249, 121140, 5486, 91875, 55723, 19967, 13153, 102052, 98897, 55723, 71289, 106391, 13153, 5486, 125152, 58322, 5486, 104817, 43167, 102083, 100472, 22398, 62903, 33710, 29295, 32018, 62004, 102204, 33541, 1811, 90620, 15024, 115847, 120577, 109215, 22398, 62903, 33710, 15682, 114225, 20230, 96356, 107294, 47884, 102944, 77181, 124897, 9174, 66378, 20230, 5486, 104817, 43167, 16144, 104010, 77181, 114363, 11883, 16144, 91875, 55723, 104817, 43167, 102741, 112508, 124905, 100472, 118969, 75694, 17129, 26854, 117041, 104309, 29295, 109215, 38641, 1811, 122270, 5486, 114435, 113468, 15682, 91875, 55723, 104817, 43167, 114556, 78183, 30369, 17792, 71289, 82973, 123160, 37823, 102741, 61398, 105184, 33563, 29295, 111108, 102800, 102677, 126465, 32977, 113727, 102204, 33541, 9174, 51330, 105933, 126513, 13177, 91875, 55723, 115681, 45059, 125175, 117503, 76706, 11883, 126130, 125683, 62004, 78434, 1811, 91875, 55723, 115681, 45059, 103223, 64178, 127303, 104984, 5486, 106353, 82533, 55723, 71289, 57933, 62903, 71634, 5486, 127557, 123160, 72238, 103234, 19732, 57933, 108969, 44971, 84477, 30512, 102647, 104369, 121142, 45736, 25446, 105284, 26854, 91875, 55723, 126694, 13153, 125545, 1811, 91875, 55723, 114835, 16144, 106613, 111186, 71289, 22398, 62903, 33710, 20230, 127408, 16144, 101182, 114435, 77181, 5486, 112371, 104328, 107740, 30512, 111800, 118219, 39926, 64121, 38144, 72315, 9174, 106353, 82533, 55723, 16144, 91875, 55723, 33208, 15682, 91875, 55723, 104817, 43167, 103223, 64178, 119279, 125683, 62004, 198, 106353, 82533, 55723, 30512, 91875, 55723, 33208, 54926, 104983, 5486, 90620, 115240, 30512, 103214, 64121, 114146, 90620, 76622, 77181, 108152, 38248, 114, 115247, 64209, 30512, 91875, 32149, 17663, 109335, 103082, 107515, 66327, 126014, 32018, 103359, 47523, 10646, 71289, 13177, 108044, 58942, 106956, 44915, 118587, 31958, 33503, 111201, 56051, 30297, 58942, 16556, 5486, 108152, 38248, 114, 115247, 32018, 109315, 44915, 30512, 15017, 231, 107800, 91875, 55723, 114835, 29295, 32018, 62004, 102204, 33541, 9174, 90620, 15024, 5486, 61337, 32943, 122692, 37823, 102741, 61398, 105184, 33563, 71289, 22398, 62903, 33710, 122635, 16144, 28190, 16556, 111681, 104482, 107407, 114435, 29295, 43240, 117714, 32977, 30926, 103350, 38641, 109807, 105933, 101128, 102, 64121, 114792, 59739, 114435, 126913, 112919, 24273, 102052, 5486, 91875, 55723, 115681, 45059, 103223, 64178, 16144, 13177, 10955, 74863, 691, 10110, 91482, 68408, 90962, 52884, 44971, 76171, 7705, 10646, 10646, 126130, 125683, 62004, 78434, 9174, 10955, 74863, 691, 127303, 104984, 5486, 106353, 82533, 55723, 30512, 107740, 56051, 61648, 27479, 16144, 126574, 91875, 55723, 30512, 112825, 110904, 20230, 114835, 125545, 109807, 41007, 15682, 5486, 119515, 105469, 20230, 11883, 37689, 103646, 57933, 108969, 44971, 84477, 20230, 115240, 71289, 127557, 5486, 96452, 44971, 38248, 115, 78205, 16073, 104309, 30512, 30775, 123, 17701, 54926, 103378, 38641, 9174, 122270, 5486, 96452, 44971, 38248, 115, 78205, 16073, 71289, 22398, 117243, 116700, 115132, 120292, 38248, 115, 78205, 16073, 116700, 104309, 17039, 28713, 26854, 121432, 32977, 106161, 39177, 122060, 68408, 84477, 116216, 108086, 5486, 108152, 38248, 114, 115247, 78683, 106240, 20230, 114146, 38144, 111764, 20230, 91875, 55723, 30512, 104817, 43167, 125545, 1811, 120098, 30512, 110408, 30813, 107800, 91875, 55723, 104817, 43167, 30512, 46034, 117355, 120650, 102334, 16995, 126513, 5486, 112371, 104328, 10955, 74863, 691, 30512, 76706, 11883, 39926, 64121, 38144, 72315, 9174, 51330, 77219, 30512, 122908, 39880, 54926, 128001, 128000, 109898, 101275, 98220, 16144, 104371, 85188, 102052, 5486, 114601, 34048, 9039, 104371, 85188, 19732, 103350, 105525, 104371, 85188, 16144, 17, 104091, 104770, 107407, 1811, 13870, 232, 61337, 15682, 102717, 109416, 114601, 34048, 9039, 104371, 85188, 16144, 41401, 24186, 19732, 19732, 67016, 117876, 30512, 109768, 100604, 29295, 5486, 110298, 9458, 16325, 106613, 109898, 104309, 15682, 10110, 28713, 104369, 25827, 42, 1846, 4012, 14757, 32, 16144, 118482, 34048, 103306, 107809, 106613, 109898, 112987, 17129, 32977, 109846, 65459, 103350, 105525, 104371, 85188, 30512, 118935, 11883, 103792, 9174, 114601, 34048, 9039, 104371, 85188, 107118, 5486, 105525, 104028, 5486, 105525, 110615, 112649, 124233, 121140, 5486, 114601, 100472, 17620, 103378, 104371, 85188, 30512, 124237, 30297, 102677, 106548, 103214, 64121, 103195, 1811, 59739, 109709, 5486, 53229, 95001, 20230, 103214, 64121, 104526, 104004, 102677, 113727, 24273, 36785, 9174, 16995, 17129, 16144, 109898, 101275, 98220, 77181, 5486, 103350, 105525, 96455, 29295, 1490, 113127, 103296, 16995, 76622, 81219, 17905, 50667, 103195, 10110, 85707, 41401, 16144, 118935, 70203, 17620, 58699, 238, 28542, 29295, 5486, 108936, 16144, 41401, 24186, 15682, 36785, 102334, 16995, 1399, 113127, 20230, 116700, 110731, 1811, 115274, 16144, 103350, 105525, 96455, 15682, 1135, 113127, 55038, 74482, 103268, 109846, 14382, 75376, 51330, 105525, 106824, 100604, 110115, 124237, 103836, 508, 113127, 15682, 43568, 102147, 226, 110034, 32149, 19732, 123085, 72661, 10110, 33334, 27929, 124749, 7705, 112832, 32149, 29295, 91763, 108064, 102532, 105335, 84477, 56051, 112973, 5486, 103350, 105525, 104371, 85188, 102677, 123141, 36785, 1811, 125559, 77181, 25580, 124237, 35330, 19732, 103350, 105525, 104371, 85188, 16144, 125702, 11883, 123141, 29295, 105335, 108506, 65575, 26854, 105879, 5486, 41758, 42634, 112164, 33710, 20230, 114146, 28713, 107173, 78244, 105262, 9174, 103350, 105525, 104371, 85188, 16144, 109606, 28542, 15682, 105104, 28713, 59739, 101182, 1811, 115303, 59739, 15682, 116898, 17129, 16144, 109898, 101275, 98220, 16144, 123141, 77181, 112810, 16144, 22656, 16144, 103350, 105525, 30512, 108038, 20230, 102178, 111665, 118765, 100909, 10110, 102865, 16144, 102181, 72516, 15682, 17914, 44971, 76428, 104309, 29295, 106839, 17701, 116216, 33334, 121140, 5486, 105525, 103468, 32149, 105525, 106824, 100604, 32149, 29295, 102178, 111665, 118765, 75376, 108031, 115303, 59739, 15682, 5486, 105525, 33121, 104435, 107803, 20230, 109755, 85791, 106624, 103167, 16995, 104371, 85188, 109518, 108176, 102677, 100909, 36785, 1811, 9039, 102718, 34048, 67016, 105525, 110615, 22656, 29295, 58911, 108680, 101182, 102321, 103397, 77181, 5486, 18, 71493, 9953, 32149, 107441, 102181, 102532, 5486, 104371, 85188, 9039, 110743, 102677, 115789, 125119, 31431, 30297, 30369, 9174, 110924, 16556, 123085, 16144, 10110, 112810, 16144, 22656, 16144, 7705, 103350, 105525, 104371, 85188, 16556, 105335, 108506, 65575, 104856, 103836, 112973, 5486, 114035, 107086, 20230, 100604, 102944, 15682, 105525, 103468, 19732, 64121, 110214, 5486, 85707, 41401, 104371, 85188, 16144, 103268, 109518, 15682, 33563, 110322, 54926, 102677, 123141, 36785, 9174, 75694, 121710, 31431, 112844, 19732, 5486, 85707, 41401, 29295, 2636, 15, 34048, 36785, 114267, 33503, 5486, 121225, 15682, 5486, 114601, 31431, 34048, 9039, 18028, 104371, 85188, 96455, 18028, 15, 13, 20, 30512, 102700, 30046, 20230, 126843, 46456, 124237, 30297, 10110, 5154, 15, 119752, 17620, 16144, 104371, 85188, 75376, 103268, 8107, 123090, 114035, 107086, 19000, 107086, 29295, 3965, 15, 119752, 105693, 114267, 33503, 5486, 1041, 15, 119752, 17620, 16144, 104371, 85188, 30512, 116155, 16556, 46456, 124237, 30297, 1811, 122270, 103268, 8107, 74482, 5486, 114035, 107086, 19000, 107086, 29295, 5245, 15, 119752, 110276, 103306, 32977, 5486, 102700, 30046, 15682, 104196, 35330, 54926, 109215, 119703, 102677, 106548, 103214, 64121, 103195, 9174, 102700, 30046, 15682, 104371, 85188, 29295, 9039, 110743, 102677, 30926, 107328, 15682, 18904, 111098, 108608, 15024, 5486, 121225, 32977, 3965, 15, 119752, 17620, 10110, 37087, 33014, 16144, 966, 113127, 7705, 16144, 104371, 85188, 15682, 46456, 124237, 78183, 103470, 100481, 16995, 105879, 5486, 17905, 61304, 16144, 22656, 15682, 71289, 71289, 109657, 19113, 115717, 102131, 109846, 5486, 109657, 19113, 109518, 30512, 123332, 31809, 108608, 9174, 114601, 34048, 9039, 104371, 85188, 19732, 57106, 115694, 102700, 112919, 39850, 37823, 67075, 15682, 115303, 59739, 126758, 105879, 5486, 102321, 39177, 28542, 77181, 5486, 13870, 232, 61337, 15682, 102700, 30046, 20230, 103350, 105525, 104371, 85188, 16144, 121225, 126130, 125683, 62004, 109768, 21105, 103, 16995, 10110, 83747, 104680, 16144, 104371, 85188, 112997, 29220, 30512, 18655, 110615, 98897, 55723, 105110, 109898, 104088, 37705, 104984, 104712, 106046, 103836, 1811, 90620, 16556, 30813, 58942, 22656, 15682, 20834, 103188, 105557, 36785, 123505, 90620, 5486, 37087, 33014, 112535, 85707, 41401, 34048, 9039, 29295, 83747, 103470, 109020, 26854, 32149, 16556, 5486, 23187, 95001, 30512, 103167, 47884, 109205, 69978, 54926, 113009, 104371, 85188, 109518, 30512, 114485, 33503, 17663, 41401, 24186, 29295, 115079, 58942, 100481, 108112, 103950, 15024, 10110, 104371, 85188, 30512, 16, 113127, 114485, 33503, 17663, 19732, 5486, 53229, 95001, 96455, 15682, 16, 13, 20, 113127, 120264, 17297, 29295, 30369, 65459, 103350, 105525, 104371, 85188, 30512, 118935, 11883, 54926, 110229, 32977, 115079, 107290, 109749, 108995, 9174, 43514, 26854, 64121, 20230, 5486, 120115, 102181, 108847, 16144, 107803, 5486, 46456, 124237, 126832, 104371, 85188, 15682, 126920, 103350, 105525, 17620, 103378, 26854, 105879, 5486, 106548, 103214, 64121, 15682, 78183, 107277, 126172, 16995, 1811, 108936, 102181, 114556, 39926, 15682, 104371, 85188, 29295, 9039, 110743, 23897, 32943, 108176, 105908, 102717, 19732, 124592, 16556, 5486, 120115, 102181, 108847, 116771, 16556, 118935, 70203, 30512, 19732, 30369, 104468, 57237, 111108, 16144, 101275, 109846, 1811, 128001, 128000, 25904, 109832, 101275, 112919, 106901, 48552, 9458, 45923, 38248, 115, 11972, 105514, 29295, 119869, 16144, 103223, 25197, 84477, 30512, 45, 4082, 103306, 114421, 39926, 103664, 18, 117913, 35757, 16556, 102936, 116510, 103646, 30926, 16556, 102433, 72661, 27384, 112495, 87177, 104482, 121711, 5486, 102208, 29504, 16556, 106307, 104680, 19732, 68408, 76428, 122258, 39880, 84477, 30512, 45, 4082, 103306, 114421, 54926, 91875, 50834, 29295, 106307, 119188, 1811, 33, 2176, 698, 16144, 529, 11769, 14097, 1389, 578, 5629, 220, 2636, 15, 21882, 529, 102677, 68408, 76428, 122258, 39880, 84477, 15682, 2075, 117913, 35757, 16556, 102936, 116510, 107001, 104309, 106116, 45736, 109518, 30813, 102052, 121602, 32149, 107001, 9174, 68408, 76428, 122258, 39880, 84477, 30512, 45, 4082, 103306, 114421, 120837, 106116, 106942, 37026, 33014, 16144, 47260, 93298, 15682, 103048, 110615, 15024, 117119, 105110, 106942, 16144, 47260, 52414, 32131, 110548, 39880, 45923, 108744, 19732, 20251, 105048, 16073, 926, 124905, 76947, 29220, 76739, 37823, 30512, 45059, 39926, 5877, 102, 76622, 81219, 5486, 112832, 72661, 68408, 76428, 122258, 39880, 84477, 37026, 33014, 30512, 99959, 115691, 42634, 65575, 108608, 9174, 77693, 72661, 13177, 95001, 112603, 107407, 66383, 78244, 105262, 104468, 36896, 109298, 109298, 20230, 119869, 20230, 10634, 111, 117913, 35757, 46456, 124237, 100472, 66383, 95604, 95001, 112603, 116787, 115847, 15682, 102321, 31640, 39880, 84477, 16556, 103087, 106518, 46729, 29295, 117813, 103991, 102512, 30512, 13177, 19967, 30369, 10646, 17161, 101171, 230, 19732, 112361, 103195, 59459, 102321, 31640, 39880, 84477, 16144, 95001, 112603, 115376, 109853, 15682, 103188, 86436, 77219, 72661, 78244, 82317, 103792, 1811, 23954, 80673, 5486, 51385, 87844, 20230, 68408, 76428, 122258, 39880, 84477, 30512, 45, 4082, 103306, 114421, 54926, 100909, 102052, 27384, 112495, 112997, 29220, 30512, 112183, 30297, 120266, 61633, 21105, 103, 118145, 105110, 100604, 9174, 105184, 111201, 122571, 45, 4082, 111848, 68408, 76428, 122258, 39880, 84477, 102052, 95001, 112603, 107407, 19732, 115791, 109900, 20230, 103001, 246, 49691, 121, 31431, 15682, 43568, 16995, 119520, 5486, 110577, 25359, 16144, 45, 4082, 39880, 84477, 16144, 18655, 73686, 125540, 67075, 108526, 103202, 30512, 75910, 56051, 114421, 102052, 112997, 29220, 107407, 9174, 122582, 3378, 8653, 105621, 84477, 111234, 25197, 16144, 119962, 109349, 244, 112997, 29220, 103195, 9174, 68408, 76428, 122258, 39880, 84477, 30512, 45, 4082, 103306, 114421, 56051, 107803, 5486, 45, 4082, 20230, 96412, 17129, 104028, 104468, 108149, 47884, 17129, 72661, 47260, 52414, 32131, 110548, 39880, 45923, 108744, 19732, 20251, 105048, 16073, 926, 103195, 1811, 25580, 30046, 113468, 5486, 105184, 111201, 45, 4082, 39880, 84477, 29295, 18655, 73686, 103646, 123259, 114172, 30512, 110322, 31958, 103082, 108048, 29295, 45, 4082, 39880, 84477, 16144, 95001, 112603, 16144, 39084, 109026, 19732, 78244, 105262, 119520, 5486, 74482, 30046, 15682, 30591, 47884, 17129, 72661, 926, 116787, 5486, 103350, 104983, 16144, 106942, 15682, 10110, 27384, 112495, 119526, 16144, 107803, 5486, 7705, 3378, 8653, 118823, 102756, 105048, 17905, 16144, 17620, 107471, 55038, 13821, 111, 20230, 57933, 62903, 71634, 103306, 107471, 33503, 81219, 103836, 121894, 103195, 9174, 47, 17, 47, 124905, 100472, 3378, 8653, 118823, 102756, 105048, 15682, 47260, 108304, 119495, 64467, 70141, 16144, 118823, 102756, 105048, 19732, 117952, 33121, 5486, 110577, 25359, 16144, 9412, 120950, 42634, 102663, 38248, 115, 78205, 16073, 64467, 70141, 16144, 118823, 102756, 105048, 103195, 1811, 42634, 102663, 38248, 115, 78205, 16073, 64467, 70141, 19732, 78244, 116285, 111476, 103359, 39926, 5486, 47260, 108304, 119495, 64467, 70141, 118823, 102756, 105048, 15682, 5486, 116245, 126194, 13177, 47260, 108304, 119495, 10646, 29295, 104356, 104856, 76947, 108086, 5486, 45, 4082, 39880, 84477, 16144, 107803, 106116, 20251, 105048, 16073, 926, 30512, 109823, 54926, 118733, 5486, 106942, 20230, 39880, 122086, 22398, 54926, 102677, 83799, 103195, 9174, 80673, 5486, 3378, 8653, 118823, 102756, 105048, 32977, 108149, 47884, 17129, 72661, 110577, 25359, 16144, 9412, 118823, 102756, 105048, 16144, 26955, 94, 105714, 16556, 19967, 109115, 102944, 103195, 1811, 9412, 118823, 102756, 105048, 55031, 3378, 8653, 118823, 102756, 105048, 102052, 5486, 110577, 25359, 16144, 3222, 16144, 83799, 16556, 39880, 122086, 22398, 54926, 100909, 108176, 113637, 39177, 5486, 9412, 118823, 102756, 105048, 55031, 3378, 8653, 118823, 102756, 105048, 111363, 106613, 47095, 30512, 104908, 54926, 3378, 8653, 105621, 84477, 111234, 25197, 29295, 109215, 117282, 9174, 102321, 103397, 5486, 120351 ]
[ 59739, 116421, 125540, 67075, 108526, 103202, 30512, 104356, 20230, 45, 4082, 39880, 84477, 29295, 18655, 73686, 116216, 108086, 5486, 3378, 8653, 105621, 84477, 111234, 25197, 32977, 11883, 37689, 110731, 1811, 103350, 104983, 5486, 45, 4082, 20251, 105048, 113883, 47260, 52414, 32131, 110548, 39880, 45923, 108744, 19732, 20251, 105048, 16073, 926, 30512, 5877, 102, 102532, 20834, 38144, 109749, 104468, 5486, 106942, 111363, 3222, 103195, 9174, 77181, 5486, 103768, 112167, 112919, 119962, 109349, 244, 104309, 16556, 3378, 8653, 105621, 84477, 111234, 25197, 29295, 43568, 47884, 109020, 102083, 100472, 126465, 29295, 30591, 104984, 104405, 108995, 32149, 1811, 105184, 111201, 106942, 37026, 33014, 15682, 10110, 118823, 102756, 105048, 30512, 109205, 69978, 54926, 114754, 107991, 48249, 31431, 7705, 3378, 8653, 118823, 102756, 105048, 17905, 16144, 17620, 107471, 55038, 13821, 111, 20230, 108618, 31431, 106307, 105784, 119520, 5486, 110924, 111363, 106613, 47095, 29295, 43568, 115737, 104984, 39880, 84477, 37026, 33014, 20230, 39880, 122086, 22398, 54926, 89783, 30590, 15682, 103470, 109020, 9174, 53508, 123, 105242, 5486, 45, 4082, 20251, 105048, 16073, 37026, 33014, 15682, 108618, 31431, 106307, 105784, 109807, 47260, 52414, 32131, 110548, 123259, 114172, 32977, 105298, 19000, 36785, 1811, 109606, 15682, 5486, 103350, 104983, 16144, 39880, 84477, 111363, 39880, 122086, 22398, 106613, 47095, 29295, 115924, 28713, 103468, 121894, 16556, 5486, 45, 4082, 20251, 105048, 113883, 95001, 112603, 107407, 104865, 102677, 28542, 103195, 9174, 45, 4082, 20251, 105048, 113883, 33563, 19361, 30046, 16556, 103470, 111243, 106942, 20230, 39880, 122086, 22398, 54926, 30926, 15682, 108608, 105879, 5486, 106942, 37026, 33014, 15682, 107693, 16556, 100604, 102677, 113727, 24273, 15682, 101182, 32149, 121061, 119520, 5486, 110904, 109020, 47260, 52414, 32131, 110548, 39880, 45923, 108744, 19732, 20251, 105048, 16073, 926, 103378, 16144, 31640, 53953, 127303, 76947, 5486, 43568, 95001, 112603, 102677, 100909, 105352, 109020, 32149, 121061, 9174, 67645, 112384, 16144, 125396, 32977, 101182, 1811, 27452, 116285, 5486, 102616, 16556, 85707, 107436, 102404, 23039, 103646, 120366, 78459, 113821, 122291, 19732, 119607, 109900, 29295, 67645, 33121, 32149, 15682, 53283, 110104, 29295, 5486, 109755, 124749, 102321, 25359, 9039, 29295, 83747, 100604, 105879, 104437, 83747, 95001, 112603, 29295, 59739, 119188, 108995, 1811, 53508, 123, 105242, 110371, 120366, 78459, 113821, 16556, 13177, 120366, 114447, 109335, 118765, 10646, 29295, 105184, 111201, 95001, 112603, 15682, 101182, 9174, 116882, 112919, 103911, 101067, 77181, 5486, 106901, 48552, 9458, 45923, 38248, 115, 11972, 105514, 16144, 119869, 16144, 103223, 25197, 84477, 102083, 100472, 13177, 47523, 17599, 112, 109904, 45, 4082, 117503, 95001, 112603, 15682, 108618, 31431, 106307, 105784, 108995, 119520, 106116, 74482, 5486, 106786, 123470, 29857, 235, 16144, 30624, 47884, 114421, 103646, 45, 4082, 39880, 84477, 16144, 104770, 15682, 5486, 110241, 3378, 8653, 105621, 84477, 111234, 25197, 29295, 21388, 78183, 106824, 103801, 116285, 95001, 112603, 30512, 21388, 76947, 114732, 16144, 111769, 32149, 19732, 113727, 100934, 9174, 89783, 111813, 109846, 5486, 102321, 31640, 39880, 84477, 16556, 19361, 13372, 26854, 101634, 17905, 109596, 105514, 15682, 5486, 45, 4082, 39880, 84477, 16144, 114421, 30512, 111800, 118219, 107113, 29295, 5486, 61826, 9080, 5486, 50444, 16556, 15120, 121022, 64889, 104611, 54926, 102677, 120270, 30512, 107113, 9174, 40265, 85707, 15682, 13177, 126843, 15682, 125338, 64121, 101200, 117503, 113116, 16556, 5486, 46034, 106767, 111331, 121894, 16556, 106942, 16144, 107253, 104874, 55031, 45, 4082, 68759, 38248, 109, 67075, 57326, 108748, 22398, 111363, 76739, 52414, 102540, 103296, 103130, 62004, 79721, 127211, 104721, 22398, 70563, 114228, 57183, 11972, 20230, 107253, 104874, 29295, 106084, 28713, 19732, 78698, 107290, 61689, 9174, 15120, 24273, 16556, 5486, 103826, 104680, 26854, 47260, 44971, 29220, 102514, 103826, 71289, 114363, 103722, 46729, 103826, 5486, 19361, 109375, 30046, 103826, 117758, 111828, 30358, 26854, 48154, 37689, 91774, 71289, 39880, 45923, 66953, 112900, 104309, 32977, 115962, 117555, 15024, 115408, 19732, 126913, 124180, 15682, 104760, 105242, 71289, 104736, 109375, 30512, 102987, 62004, 79721, 9174, 45, 4082, 16144, 101544, 32938, 30512, 21990, 123772, 5486, 47260, 44971, 29220, 102514, 14, 90962, 109793, 115247, 112073, 103826, 16144, 60632, 102924, 34171, 5486, 106942, 56438, 16144, 112624, 102780, 27479, 71289, 51385, 64209, 99750, 30512, 112366, 33208, 54926, 103846, 102052, 13177, 106942, 16144, 109713, 64810, 57326, 20251, 30512, 119870, 17129, 58942, 5486, 28534, 20873, 71289, 7322, 20, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 30512, 78698, 101557, 106, 56051, 121507, 59712, 106063, 37026, 16144, 124131, 84477, 47260, 52414, 32131, 110548, 16144, 31634, 33476, 59712, 106063, 37026, 71634, 39880, 52591, 42634, 52414, 106391, 113638, 16144, 31634, 33476, 59712, 3378, 8653, 16144, 31634, 33476, 10646, 114950, 5486, 118969, 75694, 17129, 26854, 57933, 108941, 113115, 39926, 127762, 30358, 26854, 111800, 118219, 19732, 104760, 105242, 30512, 30358, 101832, 38144, 5486, 105755, 32335, 109431, 26854, 115707, 16556, 45, 4082, 30512, 48154, 104908, 39926, 23039, 47884, 112973, 126521, 108995, 19732, 113727, 79721, 1811, 20834, 105586, 5232, 50444, 11, 63923, 254, 83, 95095, 575, 316, 198, 37271, 74482, 5486, 103283, 16144, 115707, 16556, 45, 4082, 39880, 84477, 30512, 25580, 70141, 50834, 20230, 111800, 118219, 54926, 102677, 6079, 101, 15682, 43032, 103854, 100934, 29295, 5486, 112599, 101182, 105933, 125540, 67075, 108526, 103202, 113245, 104908, 15682, 64889, 104611, 56051, 102677, 100909, 36785, 1811, 66378, 20230, 5486, 106063, 37026, 71634, 39880, 52591, 42634, 52414, 71289, 3378, 8653, 109853, 78244, 82317, 110731, 104466, 5486, 116882, 30046, 19732, 42016, 103826, 16144, 103435, 116, 104611, 30512, 103792, 125396, 107407, 9174, 117813, 103991, 46729, 29295, 103087, 35330, 104873, 104067, 5486, 106942, 30512, 105525, 31431, 104526, 104004, 124122, 20713, 46034, 38574, 103306, 45, 4082, 39880, 84477, 30512, 111800, 118219, 54926, 104468, 28190, 101828, 16995, 118855, 5486, 80172, 101513, 113173, 16556, 58426, 39880, 84477, 30512, 102936, 116510, 54926, 123017, 102216, 76537, 103306, 15682, 28190, 101828, 16995, 108995, 119520, 106116, 22656, 105284, 109904, 112997, 29220, 109853, 15682, 114652, 113954, 39926, 33334, 47884, 125231, 108995, 1811, 128001, 128000, 117434, 30512, 44309, 11883, 54926, 126101, 112832, 72661, 95221, 108176, 112973, 106966, 113266, 108176, 16144, 119627, 5486, 117434, 102052, 8239, 114503, 103378, 126194, 106966, 113266, 115991, 33541, 9174, 66953, 108958, 44971, 107840, 30512, 44309, 11883, 112990, 1187, 82973, 16556, 4044, 80805, 38248, 119, 52414, 55031, 3534, 4, 16144, 103242, 117434, 13153, 17620, 30512, 126017, 71289, 102924, 60632, 103306, 61056, 14888, 226, 116216, 101921, 236, 26274, 241, 71289, 57942, 251, 26274, 241, 123160, 105572, 26854, 26274, 241, 32648, 20230, 105623, 226, 108882, 107001, 30926, 119703, 105879, 106966, 113266, 15682, 83747, 100604, 24273, 38641, 9174, 122270, 30358, 83898, 97, 26854, 106966, 113266, 32977, 102404, 111571, 16144, 112997, 29220, 32977, 103167, 47884, 57903, 33541, 9174, 101182, 114267, 33503, 5486, 17297, 101576, 95, 71289, 118328, 50834, 95221, 123160, 91939, 225, 101921, 116, 111571, 103397, 5486, 102404, 101734, 117, 123160, 105871, 104735, 248, 111571, 103397, 5486, 102456, 111654, 16937, 107084, 5486, 102404, 107969, 71289, 101576, 240, 64121, 62004, 17129, 114774, 103892, 108631, 5486, 120379, 95221, 38641, 9174, 90620, 15024, 5486, 103188, 33857, 101983, 104533, 37689, 109375, 108502, 104698, 71289, 113116, 104721, 104873, 30512, 125119, 15024, 126172, 115737, 31431, 33541, 9174, 66378, 20230, 24186, 104680, 101921, 236, 26274, 241, 16144, 122502, 50834, 29295, 120175, 100934, 17792, 71289, 45736, 106036, 95, 30046, 104309, 15682, 61633, 29295, 109215, 115717, 33541, 9174, 66953, 108958, 44971, 107840, 15682, 57942, 251, 26274, 241, 71289, 101921, 236, 26274, 241, 120268, 101921, 116, 16556, 76706, 34171, 33208, 84389, 33541, 105879, 5486, 33014, 105284, 113468, 15682, 5486, 105047, 34171, 164, 90279, 114052, 104309, 29295, 30591, 33503, 126832, 30926, 29295, 24615, 222, 20230, 57903, 33541, 9174, 30358, 83898, 97, 26854, 106966, 113266, 103306, 15682, 88852, 16144, 111571, 103397, 29295, 122765, 102204, 33541, 9174, 12, 91576, 98, 34171, 101921, 236, 16937, 37087, 198, 12, 120066, 226, 101067, 198, 12, 114354, 107, 107202, 102800, 198, 12, 121655, 30297, 103950, 121894, 5486, 37689, 109375, 29295, 116213, 104028, 198, 12, 220, 76622, 16995, 33121, 25827, 198, 12, 108834, 230, 28194, 106, 121894, 198, 12, 105228, 96356, 102404, 101734, 117, 5486, 109304, 223, 108068, 101734, 117, 198, 12, 220, 105791, 71289, 161, 52375, 16144, 101921, 104, 33121, 198, 12, 94632, 96452, 106384, 32131, 62903, 57207, 38248, 115, 78205, 48552, 198, 12, 220, 105871, 104735, 248, 20834, 104473, 5486, 118694, 104473, 198, 12, 105357, 241, 105284, 34171, 57942, 118, 114052, 198, 12, 107732, 104369, 120700, 198, 12, 220, 105871, 29295, 21403, 98, 105784, 198, 12, 105750, 120, 107246, 126128, 44416, 104309, 198, 115681, 101918, 71289, 37026, 108436, 101918, 16144, 103768, 108436, 5486, 109688, 117126, 30512, 112183, 30297, 101513, 109472, 16144, 106121, 102057, 99, 123410, 24273, 15682, 106966, 113266, 103306, 120379, 95221, 107407, 107803, 102052, 5486, 123429, 20230, 103721, 233, 29295, 30369, 125396, 107407, 105879, 5486, 120379, 95221, 107407, 126513, 103768, 108436, 30512, 111098, 105784, 104466, 78434, 9174, 66953, 108958, 44971, 107840, 30512, 44309, 11883, 39926, 55031, 57942, 251, 26274, 241, 20230, 106966, 113266, 29295, 72718, 50834, 126172, 16995, 104468, 66953, 108958, 44971, 107840, 16144, 19361, 126120, 13153, 17620, 5486, 66953, 32131, 57207, 110305, 91482, 33710, 29295, 57942, 251, 26274, 241, 16556, 31640, 118835, 107001, 55031, 38641, 9174, 57942, 251, 26274, 241, 16144, 108502, 104698, 29295, 107750, 126832, 106966, 113266, 16144, 111571, 103397, 103306, 15682, 5486, 105791, 71289, 111006, 16144, 105871, 104735, 248, 29295, 105310, 96356, 29295, 32149, 102518, 31431, 5486, 105104, 126910, 15682, 105557, 20230, 17486, 254, 30813, 29295, 16556, 115926, 78434, 9174, 117434, 30512, 115320, 102189, 117375, 16556, 57942, 251, 26274, 241, 16144, 111800, 112984, 9039, 112603, 29295, 75146, 107253, 112603, 126036, 45736, 47884, 109020, 125396, 29295, 16556, 38144, 50834, 33541, 9174, 80673, 24186, 104680, 57942, 251, 26274, 241, 16144, 121432, 29295, 112294, 47884, 111243, 122270, 109161, 47884, 109020, 102677, 30926, 120937, 19732, 116216, 61689, 9174, 105047, 34171, 101921, 236, 16937, 37087, 16144, 37026, 112854, 111571, 103397, 103306, 15682, 5486, 111006, 29295, 17486, 254, 16995, 5486, 111006, 16144, 111179, 101921, 104, 64121, 5486, 127814, 33121, 126172, 16995, 5486, 30832, 29295, 101921, 104, 33121, 109416, 100472, 16995, 5486, 126017, 125334, 100604, 5486, 126017, 33857, 29295, 83747, 100604, 109020, 102083, 100472, 111571, 103397, 107407, 126513, 5486, 105047, 34171, 101921, 236, 16937, 37087, 20230, 14309, 98, 103836, 125396, 29295, 45736, 47884, 57903, 33541, 9174, 102404, 21990, 96455, 29295, 16, 4, 39442, 112624, 127303, 76947, 118430, 27479, 29295, 16937, 31958, 126529, 119627, 5486, 30358, 83898, 97, 26854, 106966, 113266, 103306, 115132, 96452, 106384, 32131, 62903, 57207, 38248, 115, 78205, 48552, 29295, 30591, 76947, 105324, 107246, 110482, 111108, 71289, 104473, 36651, 111179, 101921, 104, 29295, 125119, 30369, 30926, 115991, 33541, 9174, 39880, 96452, 106384, 32131, 62903, 57207, 38248, 115, 78205, 48552, 15682, 69978, 103429, 16144, 100604, 24273, 16144, 102404, 21990, 96455, 127303, 76947, 5486, 69978, 103429, 107407, 24273, 77181, 102404, 21990, 96455, 29295, 45736, 115464, 125396, 32977, 45736, 109709, 33541, 9174, 101921, 236, 26274, 241, 108502, 104698, 16144, 101182, 24273, 15682, 71289, 101921, 236, 121432, 29295, 103167, 17297, 103792, 24273, 5486, 53610, 101576, 246, 111571, 16144, 121648, 5486, 110645, 53610, 30512, 125119, 15024, 126172, 16995, 24273, 122603, 106036, 95, 30046, 104309, 29295, 44309, 11883, 54926, 107803, 102052, 5486, 53610, 17620, 111983, 110698, 29295, 109215, 121711, 33541, 9174, 53900, 5486, 33014, 123727, 39880, 57207, 110305, 91482, 33710, 33857, 29295, 115079, 21601, 56051, 107803, 102052, 5486, 101921, 236, 121432, 108502, 104698, 71289, 113116, 101365, 106613, 16144, 106966, 113266, 29295, 125119, 30369, 109688, 117126, 34171, 29295, 45736, 109709, 33541, 9174, 101921, 236, 121432, 108502, 104698, 16144, 108502, 104698, 114792, 103836, 24273, 121960, 15682, 5486, 127177, 116436, 103429, 20230, 57106, 115694, 37689, 109375, 108502, 104698, 29295, 125119, 31431, 126172, 117714, 38641, 9174, 66953, 108958, 44971, 107840, 16144, 36668, 13153, 17620, 103195, 66953, 32131, 57207, 110305, 91482, 33710, 29295, 76706, 34171, 31640, 118835, 53953, 16144, 39880, 57207, 110305, 91482, 33710, 20230, 104721, 109033, 103646, 123090, 5486, 61056, 20834, 84389, 101860, 20230, 33014, 32943, 20230, 108618, 76947, 114732, 55031, 38641, 9174, 117434, 21403, 97, 111848, 106966, 113266, 16144, 102404, 21990, 15682, 121568, 104364, 115991, 5486, 17792, 113468, 117355, 27479, 5486, 30358, 27479, 16144, 27479, 40862, 16995, 32977, 124500, 76947, 50834, 33541, 9174, 113614, 26854, 17792, 127303, 114598, 106966, 113266, 29295, 16556, 30369, 107803, 32977, 101182, 15024, 5486, 69978, 103429, 107407, 24273, 71289, 45736, 106036, 95, 30046, 5486, 100525, 232, 122924, 71289, 31809, 30813, 26854, 45829, 67645, 32977, 77181, 125478, 26854, 102944, 108176, 125396, 32977, 57903, 33541, 9174, 100525, 232, 101310, 254, 16325, 32977, 106624, 15682, 100525, 232, 101310, 254, 16144, 125396, 107407, 111482, 120332, 15682, 103429, 95221, 16144, 109688, 117126, 34171, 126036, 71005, 109519, 56051, 24273, 29295, 104712, 107803, 20230, 44309, 11883, 54926, 104466, 78434, 9174, 102321, 103397, 5486, 100525, 232, 122924, 111363, 105509, 34171, 29295, 39442, 114140, 16144, 103846, 5486, 44309, 11883, 15682, 111098, 105784, 112973, 30537, 16, 38641, 9174, 66953, 108958, 44971, 107840, 16144, 36668, 13153, 17620, 29295, 33014, 32943, 16556, 19361, 126120, 13153, 17620, 20230, 104721, 109033, 103646, 39880, 57207, 110305, 91482, 33710, 29295, 103760, 111528, 20230, 107960, 75694, 76947, 103801, 16995, 117375, 54926, 102677, 119526, 115991, 33541, 9174, 58426, 101399, 5486, 20834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 59739, 116421, 125540, 67075, 108526, 103202, 30512, 104356, 20230, 45, 4082, 39880, 84477, 29295, 18655, 73686, 116216, 108086, 5486, 3378, 8653, 105621, 84477, 111234, 25197, 32977, 11883, 37689, 110731, 1811, 103350, 104983, 5486, 45, 4082, 20251, 105048, 113883, 47260, 52414, 32131, 110548, 39880, 45923, 108744, 19732, 20251, 105048, 16073, 926, 30512, 5877, 102, 102532, 20834, 38144, 109749, 104468, 5486, 106942, 111363, 3222, 103195, 9174, 77181, 5486, 103768, 112167, 112919, 119962, 109349, 244, 104309, 16556, 3378, 8653, 105621, 84477, 111234, 25197, 29295, 43568, 47884, 109020, 102083, 100472, 126465, 29295, 30591, 104984, 104405, 108995, 32149, 1811, 105184, 111201, 106942, 37026, 33014, 15682, 10110, 118823, 102756, 105048, 30512, 109205, 69978, 54926, 114754, 107991, 48249, 31431, 7705, 3378, 8653, 118823, 102756, 105048, 17905, 16144, 17620, 107471, 55038, 13821, 111, 20230, 108618, 31431, 106307, 105784, 119520, 5486, 110924, 111363, 106613, 47095, 29295, 43568, 115737, 104984, 39880, 84477, 37026, 33014, 20230, 39880, 122086, 22398, 54926, 89783, 30590, 15682, 103470, 109020, 9174, 53508, 123, 105242, 5486, 45, 4082, 20251, 105048, 16073, 37026, 33014, 15682, 108618, 31431, 106307, 105784, 109807, 47260, 52414, 32131, 110548, 123259, 114172, 32977, 105298, 19000, 36785, 1811, 109606, 15682, 5486, 103350, 104983, 16144, 39880, 84477, 111363, 39880, 122086, 22398, 106613, 47095, 29295, 115924, 28713, 103468, 121894, 16556, 5486, 45, 4082, 20251, 105048, 113883, 95001, 112603, 107407, 104865, 102677, 28542, 103195, 9174, 45, 4082, 20251, 105048, 113883, 33563, 19361, 30046, 16556, 103470, 111243, 106942, 20230, 39880, 122086, 22398, 54926, 30926, 15682, 108608, 105879, 5486, 106942, 37026, 33014, 15682, 107693, 16556, 100604, 102677, 113727, 24273, 15682, 101182, 32149, 121061, 119520, 5486, 110904, 109020, 47260, 52414, 32131, 110548, 39880, 45923, 108744, 19732, 20251, 105048, 16073, 926, 103378, 16144, 31640, 53953, 127303, 76947, 5486, 43568, 95001, 112603, 102677, 100909, 105352, 109020, 32149, 121061, 9174, 67645, 112384, 16144, 125396, 32977, 101182, 1811, 27452, 116285, 5486, 102616, 16556, 85707, 107436, 102404, 23039, 103646, 120366, 78459, 113821, 122291, 19732, 119607, 109900, 29295, 67645, 33121, 32149, 15682, 53283, 110104, 29295, 5486, 109755, 124749, 102321, 25359, 9039, 29295, 83747, 100604, 105879, 104437, 83747, 95001, 112603, 29295, 59739, 119188, 108995, 1811, 53508, 123, 105242, 110371, 120366, 78459, 113821, 16556, 13177, 120366, 114447, 109335, 118765, 10646, 29295, 105184, 111201, 95001, 112603, 15682, 101182, 9174, 116882, 112919, 103911, 101067, 77181, 5486, 106901, 48552, 9458, 45923, 38248, 115, 11972, 105514, 16144, 119869, 16144, 103223, 25197, 84477, 102083, 100472, 13177, 47523, 17599, 112, 109904, 45, 4082, 117503, 95001, 112603, 15682, 108618, 31431, 106307, 105784, 108995, 119520, 106116, 74482, 5486, 106786, 123470, 29857, 235, 16144, 30624, 47884, 114421, 103646, 45, 4082, 39880, 84477, 16144, 104770, 15682, 5486, 110241, 3378, 8653, 105621, 84477, 111234, 25197, 29295, 21388, 78183, 106824, 103801, 116285, 95001, 112603, 30512, 21388, 76947, 114732, 16144, 111769, 32149, 19732, 113727, 100934, 9174, 89783, 111813, 109846, 5486, 102321, 31640, 39880, 84477, 16556, 19361, 13372, 26854, 101634, 17905, 109596, 105514, 15682, 5486, 45, 4082, 39880, 84477, 16144, 114421, 30512, 111800, 118219, 107113, 29295, 5486, 61826, 9080, 5486, 50444, 16556, 15120, 121022, 64889, 104611, 54926, 102677, 120270, 30512, 107113, 9174, 40265, 85707, 15682, 13177, 126843, 15682, 125338, 64121, 101200, 117503, 113116, 16556, 5486, 46034, 106767, 111331, 121894, 16556, 106942, 16144, 107253, 104874, 55031, 45, 4082, 68759, 38248, 109, 67075, 57326, 108748, 22398, 111363, 76739, 52414, 102540, 103296, 103130, 62004, 79721, 127211, 104721, 22398, 70563, 114228, 57183, 11972, 20230, 107253, 104874, 29295, 106084, 28713, 19732, 78698, 107290, 61689, 9174, 15120, 24273, 16556, 5486, 103826, 104680, 26854, 47260, 44971, 29220, 102514, 103826, 71289, 114363, 103722, 46729, 103826, 5486, 19361, 109375, 30046, 103826, 117758, 111828, 30358, 26854, 48154, 37689, 91774, 71289, 39880, 45923, 66953, 112900, 104309, 32977, 115962, 117555, 15024, 115408, 19732, 126913, 124180, 15682, 104760, 105242, 71289, 104736, 109375, 30512, 102987, 62004, 79721, 9174, 45, 4082, 16144, 101544, 32938, 30512, 21990, 123772, 5486, 47260, 44971, 29220, 102514, 14, 90962, 109793, 115247, 112073, 103826, 16144, 60632, 102924, 34171, 5486, 106942, 56438, 16144, 112624, 102780, 27479, 71289, 51385, 64209, 99750, 30512, 112366, 33208, 54926, 103846, 102052, 13177, 106942, 16144, 109713, 64810, 57326, 20251, 30512, 119870, 17129, 58942, 5486, 28534, 20873, 71289, 7322, 20, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 30512, 78698, 101557, 106, 56051, 121507, 59712, 106063, 37026, 16144, 124131, 84477, 47260, 52414, 32131, 110548, 16144, 31634, 33476, 59712, 106063, 37026, 71634, 39880, 52591, 42634, 52414, 106391, 113638, 16144, 31634, 33476, 59712, 3378, 8653, 16144, 31634, 33476, 10646, 114950, 5486, 118969, 75694, 17129, 26854, 57933, 108941, 113115, 39926, 127762, 30358, 26854, 111800, 118219, 19732, 104760, 105242, 30512, 30358, 101832, 38144, 5486, 105755, 32335, 109431, 26854, 115707, 16556, 45, 4082, 30512, 48154, 104908, 39926, 23039, 47884, 112973, 126521, 108995, 19732, 113727, 79721, 1811, 20834, 105586, 5232, 50444, 11, 63923, 254, 83, 95095, 575, 316, 198, 37271, 74482, 5486, 103283, 16144, 115707, 16556, 45, 4082, 39880, 84477, 30512, 25580, 70141, 50834, 20230, 111800, 118219, 54926, 102677, 6079, 101, 15682, 43032, 103854, 100934, 29295, 5486, 112599, 101182, 105933, 125540, 67075, 108526, 103202, 113245, 104908, 15682, 64889, 104611, 56051, 102677, 100909, 36785, 1811, 66378, 20230, 5486, 106063, 37026, 71634, 39880, 52591, 42634, 52414, 71289, 3378, 8653, 109853, 78244, 82317, 110731, 104466, 5486, 116882, 30046, 19732, 42016, 103826, 16144, 103435, 116, 104611, 30512, 103792, 125396, 107407, 9174, 117813, 103991, 46729, 29295, 103087, 35330, 104873, 104067, 5486, 106942, 30512, 105525, 31431, 104526, 104004, 124122, 20713, 46034, 38574, 103306, 45, 4082, 39880, 84477, 30512, 111800, 118219, 54926, 104468, 28190, 101828, 16995, 118855, 5486, 80172, 101513, 113173, 16556, 58426, 39880, 84477, 30512, 102936, 116510, 54926, 123017, 102216, 76537, 103306, 15682, 28190, 101828, 16995, 108995, 119520, 106116, 22656, 105284, 109904, 112997, 29220, 109853, 15682, 114652, 113954, 39926, 33334, 47884, 125231, 108995, 1811, 128001, 128000, 117434, 30512, 44309, 11883, 54926, 126101, 112832, 72661, 95221, 108176, 112973, 106966, 113266, 108176, 16144, 119627, 5486, 117434, 102052, 8239, 114503, 103378, 126194, 106966, 113266, 115991, 33541, 9174, 66953, 108958, 44971, 107840, 30512, 44309, 11883, 112990, 1187, 82973, 16556, 4044, 80805, 38248, 119, 52414, 55031, 3534, 4, 16144, 103242, 117434, 13153, 17620, 30512, 126017, 71289, 102924, 60632, 103306, 61056, 14888, 226, 116216, 101921, 236, 26274, 241, 71289, 57942, 251, 26274, 241, 123160, 105572, 26854, 26274, 241, 32648, 20230, 105623, 226, 108882, 107001, 30926, 119703, 105879, 106966, 113266, 15682, 83747, 100604, 24273, 38641, 9174, 122270, 30358, 83898, 97, 26854, 106966, 113266, 32977, 102404, 111571, 16144, 112997, 29220, 32977, 103167, 47884, 57903, 33541, 9174, 101182, 114267, 33503, 5486, 17297, 101576, 95, 71289, 118328, 50834, 95221, 123160, 91939, 225, 101921, 116, 111571, 103397, 5486, 102404, 101734, 117, 123160, 105871, 104735, 248, 111571, 103397, 5486, 102456, 111654, 16937, 107084, 5486, 102404, 107969, 71289, 101576, 240, 64121, 62004, 17129, 114774, 103892, 108631, 5486, 120379, 95221, 38641, 9174, 90620, 15024, 5486, 103188, 33857, 101983, 104533, 37689, 109375, 108502, 104698, 71289, 113116, 104721, 104873, 30512, 125119, 15024, 126172, 115737, 31431, 33541, 9174, 66378, 20230, 24186, 104680, 101921, 236, 26274, 241, 16144, 122502, 50834, 29295, 120175, 100934, 17792, 71289, 45736, 106036, 95, 30046, 104309, 15682, 61633, 29295, 109215, 115717, 33541, 9174, 66953, 108958, 44971, 107840, 15682, 57942, 251, 26274, 241, 71289, 101921, 236, 26274, 241, 120268, 101921, 116, 16556, 76706, 34171, 33208, 84389, 33541, 105879, 5486, 33014, 105284, 113468, 15682, 5486, 105047, 34171, 164, 90279, 114052, 104309, 29295, 30591, 33503, 126832, 30926, 29295, 24615, 222, 20230, 57903, 33541, 9174, 30358, 83898, 97, 26854, 106966, 113266, 103306, 15682, 88852, 16144, 111571, 103397, 29295, 122765, 102204, 33541, 9174, 12, 91576, 98, 34171, 101921, 236, 16937, 37087, 198, 12, 120066, 226, 101067, 198, 12, 114354, 107, 107202, 102800, 198, 12, 121655, 30297, 103950, 121894, 5486, 37689, 109375, 29295, 116213, 104028, 198, 12, 220, 76622, 16995, 33121, 25827, 198, 12, 108834, 230, 28194, 106, 121894, 198, 12, 105228, 96356, 102404, 101734, 117, 5486, 109304, 223, 108068, 101734, 117, 198, 12, 220, 105791, 71289, 161, 52375, 16144, 101921, 104, 33121, 198, 12, 94632, 96452, 106384, 32131, 62903, 57207, 38248, 115, 78205, 48552, 198, 12, 220, 105871, 104735, 248, 20834, 104473, 5486, 118694, 104473, 198, 12, 105357, 241, 105284, 34171, 57942, 118, 114052, 198, 12, 107732, 104369, 120700, 198, 12, 220, 105871, 29295, 21403, 98, 105784, 198, 12, 105750, 120, 107246, 126128, 44416, 104309, 198, 115681, 101918, 71289, 37026, 108436, 101918, 16144, 103768, 108436, 5486, 109688, 117126, 30512, 112183, 30297, 101513, 109472, 16144, 106121, 102057, 99, 123410, 24273, 15682, 106966, 113266, 103306, 120379, 95221, 107407, 107803, 102052, 5486, 123429, 20230, 103721, 233, 29295, 30369, 125396, 107407, 105879, 5486, 120379, 95221, 107407, 126513, 103768, 108436, 30512, 111098, 105784, 104466, 78434, 9174, 66953, 108958, 44971, 107840, 30512, 44309, 11883, 39926, 55031, 57942, 251, 26274, 241, 20230, 106966, 113266, 29295, 72718, 50834, 126172, 16995, 104468, 66953, 108958, 44971, 107840, 16144, 19361, 126120, 13153, 17620, 5486, 66953, 32131, 57207, 110305, 91482, 33710, 29295, 57942, 251, 26274, 241, 16556, 31640, 118835, 107001, 55031, 38641, 9174, 57942, 251, 26274, 241, 16144, 108502, 104698, 29295, 107750, 126832, 106966, 113266, 16144, 111571, 103397, 103306, 15682, 5486, 105791, 71289, 111006, 16144, 105871, 104735, 248, 29295, 105310, 96356, 29295, 32149, 102518, 31431, 5486, 105104, 126910, 15682, 105557, 20230, 17486, 254, 30813, 29295, 16556, 115926, 78434, 9174, 117434, 30512, 115320, 102189, 117375, 16556, 57942, 251, 26274, 241, 16144, 111800, 112984, 9039, 112603, 29295, 75146, 107253, 112603, 126036, 45736, 47884, 109020, 125396, 29295, 16556, 38144, 50834, 33541, 9174, 80673, 24186, 104680, 57942, 251, 26274, 241, 16144, 121432, 29295, 112294, 47884, 111243, 122270, 109161, 47884, 109020, 102677, 30926, 120937, 19732, 116216, 61689, 9174, 105047, 34171, 101921, 236, 16937, 37087, 16144, 37026, 112854, 111571, 103397, 103306, 15682, 5486, 111006, 29295, 17486, 254, 16995, 5486, 111006, 16144, 111179, 101921, 104, 64121, 5486, 127814, 33121, 126172, 16995, 5486, 30832, 29295, 101921, 104, 33121, 109416, 100472, 16995, 5486, 126017, 125334, 100604, 5486, 126017, 33857, 29295, 83747, 100604, 109020, 102083, 100472, 111571, 103397, 107407, 126513, 5486, 105047, 34171, 101921, 236, 16937, 37087, 20230, 14309, 98, 103836, 125396, 29295, 45736, 47884, 57903, 33541, 9174, 102404, 21990, 96455, 29295, 16, 4, 39442, 112624, 127303, 76947, 118430, 27479, 29295, 16937, 31958, 126529, 119627, 5486, 30358, 83898, 97, 26854, 106966, 113266, 103306, 115132, 96452, 106384, 32131, 62903, 57207, 38248, 115, 78205, 48552, 29295, 30591, 76947, 105324, 107246, 110482, 111108, 71289, 104473, 36651, 111179, 101921, 104, 29295, 125119, 30369, 30926, 115991, 33541, 9174, 39880, 96452, 106384, 32131, 62903, 57207, 38248, 115, 78205, 48552, 15682, 69978, 103429, 16144, 100604, 24273, 16144, 102404, 21990, 96455, 127303, 76947, 5486, 69978, 103429, 107407, 24273, 77181, 102404, 21990, 96455, 29295, 45736, 115464, 125396, 32977, 45736, 109709, 33541, 9174, 101921, 236, 26274, 241, 108502, 104698, 16144, 101182, 24273, 15682, 71289, 101921, 236, 121432, 29295, 103167, 17297, 103792, 24273, 5486, 53610, 101576, 246, 111571, 16144, 121648, 5486, 110645, 53610, 30512, 125119, 15024, 126172, 16995, 24273, 122603, 106036, 95, 30046, 104309, 29295, 44309, 11883, 54926, 107803, 102052, 5486, 53610, 17620, 111983, 110698, 29295, 109215, 121711, 33541, 9174, 53900, 5486, 33014, 123727, 39880, 57207, 110305, 91482, 33710, 33857, 29295, 115079, 21601, 56051, 107803, 102052, 5486, 101921, 236, 121432, 108502, 104698, 71289, 113116, 101365, 106613, 16144, 106966, 113266, 29295, 125119, 30369, 109688, 117126, 34171, 29295, 45736, 109709, 33541, 9174, 101921, 236, 121432, 108502, 104698, 16144, 108502, 104698, 114792, 103836, 24273, 121960, 15682, 5486, 127177, 116436, 103429, 20230, 57106, 115694, 37689, 109375, 108502, 104698, 29295, 125119, 31431, 126172, 117714, 38641, 9174, 66953, 108958, 44971, 107840, 16144, 36668, 13153, 17620, 103195, 66953, 32131, 57207, 110305, 91482, 33710, 29295, 76706, 34171, 31640, 118835, 53953, 16144, 39880, 57207, 110305, 91482, 33710, 20230, 104721, 109033, 103646, 123090, 5486, 61056, 20834, 84389, 101860, 20230, 33014, 32943, 20230, 108618, 76947, 114732, 55031, 38641, 9174, 117434, 21403, 97, 111848, 106966, 113266, 16144, 102404, 21990, 15682, 121568, 104364, 115991, 5486, 17792, 113468, 117355, 27479, 5486, 30358, 27479, 16144, 27479, 40862, 16995, 32977, 124500, 76947, 50834, 33541, 9174, 113614, 26854, 17792, 127303, 114598, 106966, 113266, 29295, 16556, 30369, 107803, 32977, 101182, 15024, 5486, 69978, 103429, 107407, 24273, 71289, 45736, 106036, 95, 30046, 5486, 100525, 232, 122924, 71289, 31809, 30813, 26854, 45829, 67645, 32977, 77181, 125478, 26854, 102944, 108176, 125396, 32977, 57903, 33541, 9174, 100525, 232, 101310, 254, 16325, 32977, 106624, 15682, 100525, 232, 101310, 254, 16144, 125396, 107407, 111482, 120332, 15682, 103429, 95221, 16144, 109688, 117126, 34171, 126036, 71005, 109519, 56051, 24273, 29295, 104712, 107803, 20230, 44309, 11883, 54926, 104466, 78434, 9174, 102321, 103397, 5486, 100525, 232, 122924, 111363, 105509, 34171, 29295, 39442, 114140, 16144, 103846, 5486, 44309, 11883, 15682, 111098, 105784, 112973, 30537, 16, 38641, 9174, 66953, 108958, 44971, 107840, 16144, 36668, 13153, 17620, 29295, 33014, 32943, 16556, 19361, 126120, 13153, 17620, 20230, 104721, 109033, 103646, 39880, 57207, 110305, 91482, 33710, 29295, 103760, 111528, 20230, 107960, 75694, 76947, 103801, 16995, 117375, 54926, 102677, 119526, 115991, 33541, 9174, 58426, 101399, 5486, 20834 ]
[ 106518, 74482, 71289, 107141, 111528, 16325, 120332, 15682, 61633, 29295, 109215, 38641, 9174, 77693, 19732, 5486, 45829, 67645, 32977, 29295, 44309, 11883, 54926, 39177, 102052, 66953, 108958, 44971, 107840, 15682, 31809, 116581, 32149, 104405, 116421, 122225, 75146, 107253, 15682, 8107, 106036, 95, 121142, 103470, 5486, 33014, 30358, 115717, 33541, 9174, 108936, 9554, 102052, 1272, 7501, 39442, 112624, 30512, 31809, 116581, 103306, 102532, 108048, 71689, 15682, 118104, 19732, 112361, 44309, 11883, 33857, 115717, 33541, 105879, 5486, 44309, 11883, 16144, 37729, 33857, 30512, 56965, 108010, 119841, 104466, 21105, 103, 16995, 102083, 76622, 107515, 9174, 66953, 108958, 44971, 107840, 15682, 45829, 67645, 32977, 72661, 44309, 11883, 108608, 117434, 16556, 5486, 45829, 67645, 32977, 29295, 115320, 104004, 107803, 102052, 5486, 110918, 117434, 115717, 33541, 9174, 66953, 108958, 44971, 107840, 15682, 105509, 26854, 117434, 112028, 104091, 103195, 30926, 102052, 56965, 121953, 119703, 105933, 16144, 119627, 123334, 15682, 31431, 11883, 25333, 30512, 56965, 108010, 58942, 104533, 30358, 83898, 97, 26854, 106966, 113266, 30512, 113801, 125119, 78434, 9174, 103242, 104599, 16144, 64467, 20379, 20230, 123532, 76947, 37656, 106624, 44309, 11883, 123410, 104466, 78434, 9174, 112990, 117355, 27479, 26854, 106966, 113266, 55031, 30358, 83898, 97, 26854, 106966, 113266, 103296, 103181, 102639, 30369, 30926, 29295, 108608, 55031, 38641, 1811, 128001, 128000, 101544, 106894, 16144, 123488, 46729, 9458, 61786, 106344, 68171, 102765, 16144, 110770, 19967, 44620, 101307, 108947, 68759, 104612, 16144, 55228, 230, 31431, 36761, 29295, 66224, 9953, 5486, 101544, 106894, 124055, 61337, 105755, 107680, 23039, 103646, 1811, 101307, 108947, 30512, 33014, 111186, 56051, 34617, 107707, 110322, 78244, 30512, 5486, 123488, 102677, 106759, 21105, 123, 126172, 16995, 39850, 125380, 124905, 76947, 126362, 15024, 36896, 53229, 108947, 15682, 114516, 20230, 99849, 126198, 104865, 66383, 95604, 106592, 111179, 50834, 14608, 104, 112586, 54926, 124845, 36896, 67645, 51330, 112832, 120938, 105352, 53229, 108947, 15682, 102936, 19732, 116216, 15682, 105110, 100604, 66383, 95604, 124730, 29295, 5486, 34617, 107707, 110322, 78244, 30512, 33035, 39926, 108044, 78183, 76947, 109749, 106942, 104856, 103836, 9174, 66224, 27113, 8107, 123628, 66115, 9953, 68093, 9080, 5486, 101544, 106894, 23530, 110622, 17905, 109224, 120938, 35894, 20230, 5486, 108285, 102687, 20230, 113801, 106307, 50834, 80172, 17297, 103646, 53229, 45829, 108947, 119375, 1811, 102865, 37087, 33014, 30512, 33420, 121143, 124545, 108680, 16144, 105578, 48634, 114792, 59739, 53229, 108947, 16144, 101307, 104698, 15682, 5486, 102669, 106106, 29295, 105721, 78183, 114598, 104662, 39926, 105721, 78183, 33503, 104435, 102677, 105908, 5486, 34617, 107707, 110322, 78244, 55031, 31958, 33503, 111201, 107001, 1811, 54322, 105644, 101911, 16144, 101307, 81219, 47884, 111848, 118969, 75694, 17129, 26854, 74482, 108502, 104698, 5486, 115598, 91774, 110792, 119895, 16995, 5486, 123726, 108618, 100472, 100909, 111363, 101128, 242, 127500, 10110, 121867, 69847, 75376, 34617, 107707, 110322, 78244, 15682, 5486, 102669, 74482, 102433, 29295, 109095, 109834, 15024, 5486, 119515, 32149, 110276, 103306, 32977, 5486, 53229, 108947, 113468, 106145, 64121, 122382, 109115, 13177, 114218, 10646, 15682, 104662, 39926, 33420, 105262, 105908, 103470, 106116, 13177, 114218, 118587, 108623, 58942, 106272, 123726, 38144, 105898, 106592, 108044, 105262, 9174, 22656, 102181, 20230, 120955, 54926, 110322, 78244, 30046, 15682, 120268, 110677, 106241, 118022, 98369, 5486, 102987, 45144, 222, 107805, 98369, 5486, 35818, 106344, 103223, 112673, 98369, 1811, 112798, 103892, 16144, 107420, 42634, 38248, 108, 16556, 36896, 107461, 66953, 29220, 105988, 66383, 95604, 112690, 30512, 102616, 20230, 108285, 109315, 50834, 42891, 126929, 119012, 20713, 68093, 66224, 66224, 116358, 1569, 106, 1569, 100, 119010, 101307, 108947, 109606, 127123, 57207, 16073, 89154, 76428, 65299, 91062, 87447, 113497, 105352, 107542, 48634, 56051, 106222, 48864, 112919, 102465, 101129, 112427, 105514, 10110, 81191, 20713, 20713, 8107, 102625, 86436, 7705, 29295, 5486, 20713, 68093, 68093, 34617, 116033, 111344, 9458, 15120, 106554, 102667, 16556, 85707, 107436, 101307, 108947, 33014, 111186, 30512, 102158, 30369, 114341, 102446, 38093, 30512, 112772, 126238, 105714, 54926, 31809, 110677, 98369, 20230, 36896, 86127, 105459, 20230, 104655, 32149, 127397, 72315, 113170, 112568, 29295, 105564, 25827, 103082, 28713, 45893, 30512, 111830, 108947, 29295, 114516, 20230, 99849, 126198, 104865, 30512, 103794, 10646, 19732, 102158, 104533, 107404, 55031, 27704, 115464, 9174, 112361, 117816, 101307, 108947, 56051, 34617, 17792, 123601, 102181, 77181, 5486, 112361, 33014, 111186, 126198, 34617, 107707, 77693, 108422, 33121, 124911, 21990, 29295, 102158, 102204, 100481, 47884, 1811, 46702, 97049, 16556, 101307, 108947, 15024, 110745, 71289, 107493, 30512, 109972, 100472, 65917, 102780, 61075, 29295, 102663, 42634, 114265, 16556, 64121, 20230, 47884, 47884, 104721, 83799, 56051, 31809, 110677, 117940, 5486, 81258, 107430, 32977, 110674, 105110, 101860, 121270, 48864, 124305, 101275, 74482, 5486, 22649, 37729, 104599, 91774, 108710, 16995, 5486, 109088, 107591, 121299, 35417, 30512, 106613, 38144, 22649, 37729, 104599, 119012, 1811, 111943, 103926, 126326, 126198, 102944, 16144, 5486, 53229, 108947, 16144, 58322, 107898, 102802, 107800, 109297, 110792, 36117, 251, 29295, 102987, 109709, 5486, 50211, 118641, 102083, 105262, 106515, 72342, 30512, 114632, 17129, 106824, 114604, 1811, 31809, 102138, 117940, 13177, 86127, 124911, 21990, 15682, 53229, 108947, 110792, 28713, 28713, 32149, 117201, 56051, 66383, 95604, 119520, 5486, 103760, 106759, 16144, 102987, 16995, 103926, 15682, 120268, 102138, 98369, 30512, 53229, 108947, 16144, 13357, 229, 124259, 14309, 98, 33121, 104435, 1811, 31809, 102138, 117940, 13177, 114516, 15682, 53229, 108947, 105755, 104195, 16995, 110745, 102769, 26854, 17792, 30512, 106154, 31431, 106956, 102677, 120208, 107407, 32149, 105557, 31431, 53229, 108947, 30512, 103470, 122101, 66383, 64889, 78244, 54926, 9174, 53900, 5486, 101307, 108947, 123090, 108057, 106528, 104615, 103306, 119208, 16144, 33565, 101, 103397, 121254, 121867, 40862, 16995, 110745, 102769, 26854, 17792, 30512, 118322, 25580, 16556, 33671, 104680, 20230, 21388, 121118, 102987, 45144, 222, 107805, 117940, 36896, 123726, 112179, 47884, 105908, 53229, 108947, 20230, 118013, 70141, 32149, 30297, 100909, 103351, 66383, 87177, 17663, 1811, 102987, 45144, 222, 115867, 110322, 78244, 77181, 5486, 53229, 108947, 16556, 105150, 127258, 103646, 110622, 17905, 36827, 36668, 104509, 109853, 32977, 109835, 33121, 125398, 123601, 102181, 16144, 47260, 32131, 91062, 102052, 5486, 110622, 17905, 120938, 16556, 30813, 47884, 117068, 56051, 53229, 108947, 113468, 110622, 17905, 36827, 36668, 104509, 15682, 105987, 127258, 5486, 22023, 107263, 103664, 20713, 32307, 25963, 103633, 107707, 117591, 103664, 66115, 44597, 27113, 27113, 114754, 108947, 102625, 56051, 102083, 78183, 106824, 61689, 114318, 101182, 1811, 102987, 45144, 222, 115867, 110322, 78244, 107809, 105352, 5486, 110622, 17905, 16144, 22023, 107263, 105459, 106046, 105262, 17792, 105459, 29295, 5486, 102465, 66201, 119775, 104328, 75694, 126843, 102532, 102625, 126559, 110783, 125334, 38144, 109749, 123601, 102181, 16144, 21405, 104482, 104856, 103836, 13177, 101307, 108947, 68759, 104612, 66201, 10646, 32977, 5486, 110622, 17905, 36827, 36668, 104509, 16556, 101307, 108947, 56051, 102944, 36785, 1811, 105791, 15682, 108631, 17129, 106624, 71289, 76622, 127862, 118821, 104921, 111, 29295, 111199, 16995, 35894, 113312, 104856, 76947, 115515, 15682, 110622, 17905, 36827, 36668, 104509, 112028, 64936, 117083, 13177, 101307, 108947, 68759, 104612, 31809, 110776, 104509, 10646, 20230, 22324, 32149, 115032, 9174, 102700, 30046, 15682, 110371, 13177, 101307, 108947, 68759, 104612, 66201, 66383, 34617, 17792, 118322, 110322, 78244, 30046, 5486, 35818, 106344, 103223, 112673, 98369, 30512, 30358, 101832, 30369, 124192, 39177, 25963, 46702, 97049, 103351, 35818, 106344, 117940, 5486, 110622, 17905, 36827, 36668, 104509, 16144, 68759, 104612, 66201, 16144, 25580, 16556, 126326, 29430, 30512, 123680, 102639, 30369, 106592, 113871, 91774, 30369, 71493, 122148, 48552, 22023, 107263, 103351, 1811, 109846, 5486, 53229, 108947, 16144, 108947, 104346, 15682, 80699, 16144, 91062, 78459, 104856, 76947, 35818, 106344, 115867, 115499, 74245, 107666, 122262, 116826, 33121, 32977, 5486, 126326, 16144, 113871, 32977, 15120, 112661, 20230, 100702, 243, 76622, 107471, 100472, 112661, 56965, 103351, 109900, 72661, 27384, 33503, 107188, 103760, 16144, 103926, 20230, 46456, 58942, 124195, 123726, 100481, 47884, 105908, 103082, 28713, 29295, 5486, 103760, 16144, 102625, 74482, 5486, 15973, 224, 21105, 243, 20230, 76537, 43514, 104328, 21105, 234, 115032, 39177, 5486, 101544, 106894, 30512, 120824, 99397, 56051, 42634, 108941, 100927, 105600, 16144, 13177, 102669, 106106, 15682, 114516, 16144, 15024, 78183, 75694, 38641, 66383, 112844, 16144, 30512, 104655, 50834, 110745, 112495, 99750, 103842, 246, 114475, 107674, 66327, 114387, 86127, 72661, 50211, 34208, 16144, 45893, 77913, 101983, 104028, 71289, 85791, 32149, 66383, 95604, 114284, 16556, 5486, 53229, 108947, 61304, 108565, 120366, 44620, 20230, 25827, 102639, 25827, 119707, 58942, 72342, 36761, 117158, 102446, 54926, 9174, 35818, 106344, 121944, 5486, 42634, 108941, 100927, 105600, 20230, 104394, 32149, 33121, 66953, 78459, 71493, 16073, 16556, 100927, 105600, 19732, 164, 71831, 91774, 54926, 57207, 107060, 15682, 121819, 112959, 66327, 53229, 108947, 16556, 33014, 32977, 17792, 21990, 32977, 62903, 78525, 102944, 20230, 103646, 81219, 76947, 25827, 31195, 37271, 15682, 126920, 59363, 32149, 103646, 120266, 99750, 118835, 15024, 19732, 104533, 57980, 66383, 102700, 30046, 20230, 102158, 30369, 35818, 106344, 115867, 120208, 29295, 110382, 20230, 21405, 115032, 1811, 35818, 106344, 117940, 5486, 118288, 8107, 20713, 25963, 9953, 20230, 109988, 115737, 31431, 5486, 102700, 30046, 15682, 5486, 35818, 106344, 121944, 115515, 105352, 127258, 33121, 120550, 102472, 112718, 120950, 33014, 16556, 123726, 38144, 105898, 106592, 114284, 36896, 110776, 103760, 107118, 110596, 47884, 55031, 102717, 102717, 58942, 64121, 32149, 105784, 17792, 104446, 103470, 38144, 102362, 112197, 32149, 56051, 108789, 105352, 36785, 58942, 107202, 15024, 104004, 17792, 30512, 95604, 104865, 121061, 31195, 10646, 19732, 36896, 101307, 108947, 68759, 104612, 66201, 118587, 112772, 39926, 35818, 106344, 98369, 102416, 114284, 30512, 46065, 111, 122101, 9174, 71289, 30813, 102800, 47307, 108981, 16144, 121995, 116787, 106272, 5486, 101307, 108947, 30046, 29295, 115408, 105459, 20230, 115364, 114218, 59739, 102334, 33014, 19732, 64209, 30512, 115143, 76622, 20834, 39926, 5486, 120987, 124911, 104770, 16144, 50211, 34208, 16144, 113009, 102158, 31431, 106307, 76622, 100934, 105272, 102677, 105908, 5486, 104328, 21105, 110, 15024, 19732, 108044, 78183, 76947, 109749, 51330, 106942, 1811, 102669, 74482, 66224, 27113, 116358, 89408, 5486, 112832, 29295, 102669, 106106, 30512, 125119, 56051, 104865, 120953, 126693, 102669, 106106, 30512, 71289, 109315, 105908, 108608, 104865, 30512, 78698, 105262, 17905, 113245, 5486, 32335, 103424, 26854, 15120, 119752, 117282, 108995, 1811, 128001, 128000, 10110, 1544, 7705, 6806, 220, 90115, 115847, 15682, 40452, 107707, 102494, 33710, 103857, 38641, 1811, 43444, 16, 7705, 6806, 110233, 103, 15682, 121410, 9080, 83747, 21105, 248, 59739, 13153, 101544, 78434, 29295, 5486, 59739, 17129, 61826, 16144, 61826, 79982, 121254, 126469, 116771, 13153, 101544, 78434, 1811, 113851, 104, 102701, 117785, 71289, 99959, 108941, 118283, 107610, 30512, 33035, 39926, 91774, 104533, 50834, 5486, 12870, 116, 34048, 16144, 12870, 117, 12870, 116, 105494, 20230, 39135, 72238, 29295, 120766, 112990, 109688, 117126, 38641, 1811, 119653, 64121, 114218, 16144, 41642, 116310, 15682, 103664, 605, 10166, 101921, 104, 33121, 115442, 31431, 5486, 32149, 106644, 64121, 30512, 112183, 16995, 5486, 108631, 64121, 30512, 112183, 16995, 122603, 107969, 108176, 105908, 57903, 33541, 1811, 125447, 16144, 107049, 249, 116882, 15682, 74245, 67669, 103664, 22, 3906, 102083, 78183, 106824, 61689, 105879, 108048, 20230, 60358, 16995, 115844, 16144, 126513, 48154, 61633, 72315, 1811, 220, 28713, 19732, 116285, 5486, 108044, 108208, 34171, 122279, 103204, 101921, 104, 10110, 53610, 16995, 109416, 75376, 43444, 64803, 7705, 6806, 45631, 106613, 40526, 111983, 53610, 107654, 15682, 5486, 53610, 5486, 59657, 102, 5486, 120843, 117587, 30512, 38129, 39926, 46034, 16556, 19967, 30369, 115789, 125545, 1811, 5971, 198, 56051, 29295, 76947, 5486, 110645, 53610, 111571, 15682, 62004, 17129, 16995, 5486, 161, 52375, 16144, 35086, 229, 50834, 5486, 103892, 108631, 30512, 113801, 125119, 78434, 1811, 80050, 62903, 16073, 102663, 39880, 71289, 104699, 42891, 17663, 31431, 120379, 30369, 104309, 108149, 112568, 124911, 21990, 30512, 27384, 102769, 117657, 115789, 27384, 102769, 38641, 1811, 220, 80673, 106116, 105933, 33710, 64178, 30512, 78698, 101557, 106, 21105, 103, 118145, 5486, 29295, 25827, 104398, 112506, 16144, 9039, 15682, 115079, 21601, 78434, 1811, 123516, 107290, 64121, 111243, 27384, 121313, 38641, 105879, 5486, 59614, 101860, 13177, 102780, 118124, 16144, 102717, 47884, 85791, 5486, 39135, 71289, 115844, 29295, 124500, 76947, 61689, 32149, 91006, 30512, 116696, 48552, 1811, 104102, 102, 106608, 111571, 103306, 15682, 5486, 105871, 104735, 248, 70626, 103242, 19732, 54322, 105644, 101911, 101921, 104, 114431, 235, 103242, 16144, 89046, 120988, 29295, 107693, 38641, 1811, 109006, 103991, 16144, 126794, 102181, 19732, 104655, 102532, 46034, 103991, 16144, 112997, 29220, 20230, 121602, 32149, 104028, 32149, 110241, 33121, 107515, 29295, 5486, 126238, 105047, 125344, 122412, 110366, 16144, 117271, 26854, 105879, 64209, 55487, 21105, 103, 117201, 72315, 1811, 110849, 23706, 105, 15682, 109657, 108056, 16144, 103892, 105871, 20230, 108936, 9554, 116787, 5486, 15682, 102639, 30512, 66378, 17599, 112, 103306, 61689, 1811, 5971, 198, 32149, 30813, 104369, 28713, 29295, 115376, 84389, 104533, 5486, 71005, 23706, 240, 78434, 1811, 43444, 14815, 7705, 6806, 108350, 104792, 104398, 112506, 29295, 25827, 15682, 102717, 47884, 85791, 119775, 91774, 58942, 5486, 15355, 223, 50211, 17905, 105871, 29295, 25827, 15682, 100204, 25827, 17129, 15024, 25827, 71289, 16995, 109416, 119775, 91774, 58942, 33541, 1811, 116056, 102717, 47884, 85791, 29295, 23706, 234, 103195, 19732, 112185, 64209, 55487, 103792, 126513, 5486, 111800, 112984, 114475, 107441, 72315, 1811, 116056, 100909, 55031, 5486, 127194, 101335, 108941, 16144, 103911, 103181, 15682, 23042, 71493, 67075, 30512, 120837, 8239, 114503, 119703, 104466, 91774 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 106518, 74482, 71289, 107141, 111528, 16325, 120332, 15682, 61633, 29295, 109215, 38641, 9174, 77693, 19732, 5486, 45829, 67645, 32977, 29295, 44309, 11883, 54926, 39177, 102052, 66953, 108958, 44971, 107840, 15682, 31809, 116581, 32149, 104405, 116421, 122225, 75146, 107253, 15682, 8107, 106036, 95, 121142, 103470, 5486, 33014, 30358, 115717, 33541, 9174, 108936, 9554, 102052, 1272, 7501, 39442, 112624, 30512, 31809, 116581, 103306, 102532, 108048, 71689, 15682, 118104, 19732, 112361, 44309, 11883, 33857, 115717, 33541, 105879, 5486, 44309, 11883, 16144, 37729, 33857, 30512, 56965, 108010, 119841, 104466, 21105, 103, 16995, 102083, 76622, 107515, 9174, 66953, 108958, 44971, 107840, 15682, 45829, 67645, 32977, 72661, 44309, 11883, 108608, 117434, 16556, 5486, 45829, 67645, 32977, 29295, 115320, 104004, 107803, 102052, 5486, 110918, 117434, 115717, 33541, 9174, 66953, 108958, 44971, 107840, 15682, 105509, 26854, 117434, 112028, 104091, 103195, 30926, 102052, 56965, 121953, 119703, 105933, 16144, 119627, 123334, 15682, 31431, 11883, 25333, 30512, 56965, 108010, 58942, 104533, 30358, 83898, 97, 26854, 106966, 113266, 30512, 113801, 125119, 78434, 9174, 103242, 104599, 16144, 64467, 20379, 20230, 123532, 76947, 37656, 106624, 44309, 11883, 123410, 104466, 78434, 9174, 112990, 117355, 27479, 26854, 106966, 113266, 55031, 30358, 83898, 97, 26854, 106966, 113266, 103296, 103181, 102639, 30369, 30926, 29295, 108608, 55031, 38641, 1811, 128001, 128000, 101544, 106894, 16144, 123488, 46729, 9458, 61786, 106344, 68171, 102765, 16144, 110770, 19967, 44620, 101307, 108947, 68759, 104612, 16144, 55228, 230, 31431, 36761, 29295, 66224, 9953, 5486, 101544, 106894, 124055, 61337, 105755, 107680, 23039, 103646, 1811, 101307, 108947, 30512, 33014, 111186, 56051, 34617, 107707, 110322, 78244, 30512, 5486, 123488, 102677, 106759, 21105, 123, 126172, 16995, 39850, 125380, 124905, 76947, 126362, 15024, 36896, 53229, 108947, 15682, 114516, 20230, 99849, 126198, 104865, 66383, 95604, 106592, 111179, 50834, 14608, 104, 112586, 54926, 124845, 36896, 67645, 51330, 112832, 120938, 105352, 53229, 108947, 15682, 102936, 19732, 116216, 15682, 105110, 100604, 66383, 95604, 124730, 29295, 5486, 34617, 107707, 110322, 78244, 30512, 33035, 39926, 108044, 78183, 76947, 109749, 106942, 104856, 103836, 9174, 66224, 27113, 8107, 123628, 66115, 9953, 68093, 9080, 5486, 101544, 106894, 23530, 110622, 17905, 109224, 120938, 35894, 20230, 5486, 108285, 102687, 20230, 113801, 106307, 50834, 80172, 17297, 103646, 53229, 45829, 108947, 119375, 1811, 102865, 37087, 33014, 30512, 33420, 121143, 124545, 108680, 16144, 105578, 48634, 114792, 59739, 53229, 108947, 16144, 101307, 104698, 15682, 5486, 102669, 106106, 29295, 105721, 78183, 114598, 104662, 39926, 105721, 78183, 33503, 104435, 102677, 105908, 5486, 34617, 107707, 110322, 78244, 55031, 31958, 33503, 111201, 107001, 1811, 54322, 105644, 101911, 16144, 101307, 81219, 47884, 111848, 118969, 75694, 17129, 26854, 74482, 108502, 104698, 5486, 115598, 91774, 110792, 119895, 16995, 5486, 123726, 108618, 100472, 100909, 111363, 101128, 242, 127500, 10110, 121867, 69847, 75376, 34617, 107707, 110322, 78244, 15682, 5486, 102669, 74482, 102433, 29295, 109095, 109834, 15024, 5486, 119515, 32149, 110276, 103306, 32977, 5486, 53229, 108947, 113468, 106145, 64121, 122382, 109115, 13177, 114218, 10646, 15682, 104662, 39926, 33420, 105262, 105908, 103470, 106116, 13177, 114218, 118587, 108623, 58942, 106272, 123726, 38144, 105898, 106592, 108044, 105262, 9174, 22656, 102181, 20230, 120955, 54926, 110322, 78244, 30046, 15682, 120268, 110677, 106241, 118022, 98369, 5486, 102987, 45144, 222, 107805, 98369, 5486, 35818, 106344, 103223, 112673, 98369, 1811, 112798, 103892, 16144, 107420, 42634, 38248, 108, 16556, 36896, 107461, 66953, 29220, 105988, 66383, 95604, 112690, 30512, 102616, 20230, 108285, 109315, 50834, 42891, 126929, 119012, 20713, 68093, 66224, 66224, 116358, 1569, 106, 1569, 100, 119010, 101307, 108947, 109606, 127123, 57207, 16073, 89154, 76428, 65299, 91062, 87447, 113497, 105352, 107542, 48634, 56051, 106222, 48864, 112919, 102465, 101129, 112427, 105514, 10110, 81191, 20713, 20713, 8107, 102625, 86436, 7705, 29295, 5486, 20713, 68093, 68093, 34617, 116033, 111344, 9458, 15120, 106554, 102667, 16556, 85707, 107436, 101307, 108947, 33014, 111186, 30512, 102158, 30369, 114341, 102446, 38093, 30512, 112772, 126238, 105714, 54926, 31809, 110677, 98369, 20230, 36896, 86127, 105459, 20230, 104655, 32149, 127397, 72315, 113170, 112568, 29295, 105564, 25827, 103082, 28713, 45893, 30512, 111830, 108947, 29295, 114516, 20230, 99849, 126198, 104865, 30512, 103794, 10646, 19732, 102158, 104533, 107404, 55031, 27704, 115464, 9174, 112361, 117816, 101307, 108947, 56051, 34617, 17792, 123601, 102181, 77181, 5486, 112361, 33014, 111186, 126198, 34617, 107707, 77693, 108422, 33121, 124911, 21990, 29295, 102158, 102204, 100481, 47884, 1811, 46702, 97049, 16556, 101307, 108947, 15024, 110745, 71289, 107493, 30512, 109972, 100472, 65917, 102780, 61075, 29295, 102663, 42634, 114265, 16556, 64121, 20230, 47884, 47884, 104721, 83799, 56051, 31809, 110677, 117940, 5486, 81258, 107430, 32977, 110674, 105110, 101860, 121270, 48864, 124305, 101275, 74482, 5486, 22649, 37729, 104599, 91774, 108710, 16995, 5486, 109088, 107591, 121299, 35417, 30512, 106613, 38144, 22649, 37729, 104599, 119012, 1811, 111943, 103926, 126326, 126198, 102944, 16144, 5486, 53229, 108947, 16144, 58322, 107898, 102802, 107800, 109297, 110792, 36117, 251, 29295, 102987, 109709, 5486, 50211, 118641, 102083, 105262, 106515, 72342, 30512, 114632, 17129, 106824, 114604, 1811, 31809, 102138, 117940, 13177, 86127, 124911, 21990, 15682, 53229, 108947, 110792, 28713, 28713, 32149, 117201, 56051, 66383, 95604, 119520, 5486, 103760, 106759, 16144, 102987, 16995, 103926, 15682, 120268, 102138, 98369, 30512, 53229, 108947, 16144, 13357, 229, 124259, 14309, 98, 33121, 104435, 1811, 31809, 102138, 117940, 13177, 114516, 15682, 53229, 108947, 105755, 104195, 16995, 110745, 102769, 26854, 17792, 30512, 106154, 31431, 106956, 102677, 120208, 107407, 32149, 105557, 31431, 53229, 108947, 30512, 103470, 122101, 66383, 64889, 78244, 54926, 9174, 53900, 5486, 101307, 108947, 123090, 108057, 106528, 104615, 103306, 119208, 16144, 33565, 101, 103397, 121254, 121867, 40862, 16995, 110745, 102769, 26854, 17792, 30512, 118322, 25580, 16556, 33671, 104680, 20230, 21388, 121118, 102987, 45144, 222, 107805, 117940, 36896, 123726, 112179, 47884, 105908, 53229, 108947, 20230, 118013, 70141, 32149, 30297, 100909, 103351, 66383, 87177, 17663, 1811, 102987, 45144, 222, 115867, 110322, 78244, 77181, 5486, 53229, 108947, 16556, 105150, 127258, 103646, 110622, 17905, 36827, 36668, 104509, 109853, 32977, 109835, 33121, 125398, 123601, 102181, 16144, 47260, 32131, 91062, 102052, 5486, 110622, 17905, 120938, 16556, 30813, 47884, 117068, 56051, 53229, 108947, 113468, 110622, 17905, 36827, 36668, 104509, 15682, 105987, 127258, 5486, 22023, 107263, 103664, 20713, 32307, 25963, 103633, 107707, 117591, 103664, 66115, 44597, 27113, 27113, 114754, 108947, 102625, 56051, 102083, 78183, 106824, 61689, 114318, 101182, 1811, 102987, 45144, 222, 115867, 110322, 78244, 107809, 105352, 5486, 110622, 17905, 16144, 22023, 107263, 105459, 106046, 105262, 17792, 105459, 29295, 5486, 102465, 66201, 119775, 104328, 75694, 126843, 102532, 102625, 126559, 110783, 125334, 38144, 109749, 123601, 102181, 16144, 21405, 104482, 104856, 103836, 13177, 101307, 108947, 68759, 104612, 66201, 10646, 32977, 5486, 110622, 17905, 36827, 36668, 104509, 16556, 101307, 108947, 56051, 102944, 36785, 1811, 105791, 15682, 108631, 17129, 106624, 71289, 76622, 127862, 118821, 104921, 111, 29295, 111199, 16995, 35894, 113312, 104856, 76947, 115515, 15682, 110622, 17905, 36827, 36668, 104509, 112028, 64936, 117083, 13177, 101307, 108947, 68759, 104612, 31809, 110776, 104509, 10646, 20230, 22324, 32149, 115032, 9174, 102700, 30046, 15682, 110371, 13177, 101307, 108947, 68759, 104612, 66201, 66383, 34617, 17792, 118322, 110322, 78244, 30046, 5486, 35818, 106344, 103223, 112673, 98369, 30512, 30358, 101832, 30369, 124192, 39177, 25963, 46702, 97049, 103351, 35818, 106344, 117940, 5486, 110622, 17905, 36827, 36668, 104509, 16144, 68759, 104612, 66201, 16144, 25580, 16556, 126326, 29430, 30512, 123680, 102639, 30369, 106592, 113871, 91774, 30369, 71493, 122148, 48552, 22023, 107263, 103351, 1811, 109846, 5486, 53229, 108947, 16144, 108947, 104346, 15682, 80699, 16144, 91062, 78459, 104856, 76947, 35818, 106344, 115867, 115499, 74245, 107666, 122262, 116826, 33121, 32977, 5486, 126326, 16144, 113871, 32977, 15120, 112661, 20230, 100702, 243, 76622, 107471, 100472, 112661, 56965, 103351, 109900, 72661, 27384, 33503, 107188, 103760, 16144, 103926, 20230, 46456, 58942, 124195, 123726, 100481, 47884, 105908, 103082, 28713, 29295, 5486, 103760, 16144, 102625, 74482, 5486, 15973, 224, 21105, 243, 20230, 76537, 43514, 104328, 21105, 234, 115032, 39177, 5486, 101544, 106894, 30512, 120824, 99397, 56051, 42634, 108941, 100927, 105600, 16144, 13177, 102669, 106106, 15682, 114516, 16144, 15024, 78183, 75694, 38641, 66383, 112844, 16144, 30512, 104655, 50834, 110745, 112495, 99750, 103842, 246, 114475, 107674, 66327, 114387, 86127, 72661, 50211, 34208, 16144, 45893, 77913, 101983, 104028, 71289, 85791, 32149, 66383, 95604, 114284, 16556, 5486, 53229, 108947, 61304, 108565, 120366, 44620, 20230, 25827, 102639, 25827, 119707, 58942, 72342, 36761, 117158, 102446, 54926, 9174, 35818, 106344, 121944, 5486, 42634, 108941, 100927, 105600, 20230, 104394, 32149, 33121, 66953, 78459, 71493, 16073, 16556, 100927, 105600, 19732, 164, 71831, 91774, 54926, 57207, 107060, 15682, 121819, 112959, 66327, 53229, 108947, 16556, 33014, 32977, 17792, 21990, 32977, 62903, 78525, 102944, 20230, 103646, 81219, 76947, 25827, 31195, 37271, 15682, 126920, 59363, 32149, 103646, 120266, 99750, 118835, 15024, 19732, 104533, 57980, 66383, 102700, 30046, 20230, 102158, 30369, 35818, 106344, 115867, 120208, 29295, 110382, 20230, 21405, 115032, 1811, 35818, 106344, 117940, 5486, 118288, 8107, 20713, 25963, 9953, 20230, 109988, 115737, 31431, 5486, 102700, 30046, 15682, 5486, 35818, 106344, 121944, 115515, 105352, 127258, 33121, 120550, 102472, 112718, 120950, 33014, 16556, 123726, 38144, 105898, 106592, 114284, 36896, 110776, 103760, 107118, 110596, 47884, 55031, 102717, 102717, 58942, 64121, 32149, 105784, 17792, 104446, 103470, 38144, 102362, 112197, 32149, 56051, 108789, 105352, 36785, 58942, 107202, 15024, 104004, 17792, 30512, 95604, 104865, 121061, 31195, 10646, 19732, 36896, 101307, 108947, 68759, 104612, 66201, 118587, 112772, 39926, 35818, 106344, 98369, 102416, 114284, 30512, 46065, 111, 122101, 9174, 71289, 30813, 102800, 47307, 108981, 16144, 121995, 116787, 106272, 5486, 101307, 108947, 30046, 29295, 115408, 105459, 20230, 115364, 114218, 59739, 102334, 33014, 19732, 64209, 30512, 115143, 76622, 20834, 39926, 5486, 120987, 124911, 104770, 16144, 50211, 34208, 16144, 113009, 102158, 31431, 106307, 76622, 100934, 105272, 102677, 105908, 5486, 104328, 21105, 110, 15024, 19732, 108044, 78183, 76947, 109749, 51330, 106942, 1811, 102669, 74482, 66224, 27113, 116358, 89408, 5486, 112832, 29295, 102669, 106106, 30512, 125119, 56051, 104865, 120953, 126693, 102669, 106106, 30512, 71289, 109315, 105908, 108608, 104865, 30512, 78698, 105262, 17905, 113245, 5486, 32335, 103424, 26854, 15120, 119752, 117282, 108995, 1811, 128001, 128000, 10110, 1544, 7705, 6806, 220, 90115, 115847, 15682, 40452, 107707, 102494, 33710, 103857, 38641, 1811, 43444, 16, 7705, 6806, 110233, 103, 15682, 121410, 9080, 83747, 21105, 248, 59739, 13153, 101544, 78434, 29295, 5486, 59739, 17129, 61826, 16144, 61826, 79982, 121254, 126469, 116771, 13153, 101544, 78434, 1811, 113851, 104, 102701, 117785, 71289, 99959, 108941, 118283, 107610, 30512, 33035, 39926, 91774, 104533, 50834, 5486, 12870, 116, 34048, 16144, 12870, 117, 12870, 116, 105494, 20230, 39135, 72238, 29295, 120766, 112990, 109688, 117126, 38641, 1811, 119653, 64121, 114218, 16144, 41642, 116310, 15682, 103664, 605, 10166, 101921, 104, 33121, 115442, 31431, 5486, 32149, 106644, 64121, 30512, 112183, 16995, 5486, 108631, 64121, 30512, 112183, 16995, 122603, 107969, 108176, 105908, 57903, 33541, 1811, 125447, 16144, 107049, 249, 116882, 15682, 74245, 67669, 103664, 22, 3906, 102083, 78183, 106824, 61689, 105879, 108048, 20230, 60358, 16995, 115844, 16144, 126513, 48154, 61633, 72315, 1811, 220, 28713, 19732, 116285, 5486, 108044, 108208, 34171, 122279, 103204, 101921, 104, 10110, 53610, 16995, 109416, 75376, 43444, 64803, 7705, 6806, 45631, 106613, 40526, 111983, 53610, 107654, 15682, 5486, 53610, 5486, 59657, 102, 5486, 120843, 117587, 30512, 38129, 39926, 46034, 16556, 19967, 30369, 115789, 125545, 1811, 5971, 198, 56051, 29295, 76947, 5486, 110645, 53610, 111571, 15682, 62004, 17129, 16995, 5486, 161, 52375, 16144, 35086, 229, 50834, 5486, 103892, 108631, 30512, 113801, 125119, 78434, 1811, 80050, 62903, 16073, 102663, 39880, 71289, 104699, 42891, 17663, 31431, 120379, 30369, 104309, 108149, 112568, 124911, 21990, 30512, 27384, 102769, 117657, 115789, 27384, 102769, 38641, 1811, 220, 80673, 106116, 105933, 33710, 64178, 30512, 78698, 101557, 106, 21105, 103, 118145, 5486, 29295, 25827, 104398, 112506, 16144, 9039, 15682, 115079, 21601, 78434, 1811, 123516, 107290, 64121, 111243, 27384, 121313, 38641, 105879, 5486, 59614, 101860, 13177, 102780, 118124, 16144, 102717, 47884, 85791, 5486, 39135, 71289, 115844, 29295, 124500, 76947, 61689, 32149, 91006, 30512, 116696, 48552, 1811, 104102, 102, 106608, 111571, 103306, 15682, 5486, 105871, 104735, 248, 70626, 103242, 19732, 54322, 105644, 101911, 101921, 104, 114431, 235, 103242, 16144, 89046, 120988, 29295, 107693, 38641, 1811, 109006, 103991, 16144, 126794, 102181, 19732, 104655, 102532, 46034, 103991, 16144, 112997, 29220, 20230, 121602, 32149, 104028, 32149, 110241, 33121, 107515, 29295, 5486, 126238, 105047, 125344, 122412, 110366, 16144, 117271, 26854, 105879, 64209, 55487, 21105, 103, 117201, 72315, 1811, 110849, 23706, 105, 15682, 109657, 108056, 16144, 103892, 105871, 20230, 108936, 9554, 116787, 5486, 15682, 102639, 30512, 66378, 17599, 112, 103306, 61689, 1811, 5971, 198, 32149, 30813, 104369, 28713, 29295, 115376, 84389, 104533, 5486, 71005, 23706, 240, 78434, 1811, 43444, 14815, 7705, 6806, 108350, 104792, 104398, 112506, 29295, 25827, 15682, 102717, 47884, 85791, 119775, 91774, 58942, 5486, 15355, 223, 50211, 17905, 105871, 29295, 25827, 15682, 100204, 25827, 17129, 15024, 25827, 71289, 16995, 109416, 119775, 91774, 58942, 33541, 1811, 116056, 102717, 47884, 85791, 29295, 23706, 234, 103195, 19732, 112185, 64209, 55487, 103792, 126513, 5486, 111800, 112984, 114475, 107441, 72315, 1811, 116056, 100909, 55031, 5486, 127194, 101335, 108941, 16144, 103911, 103181, 15682, 23042, 71493, 67075, 30512, 120837, 8239, 114503, 119703, 104466, 91774 ]
[ 58942, 33541, 29295, 5486, 9080, 123307, 76622, 120837, 8239, 114503, 119703, 105879, 5486, 9080, 123307, 76622, 103359, 105226, 30512, 103801, 109954, 1811, 109006, 103991, 37026, 33014, 15682, 9039, 114392, 32149, 107277, 33541, 29295, 5486, 1182, 5486, 79770, 5486, 80504, 5486, 76739, 47260, 11972, 111800, 112984, 30512, 103350, 102923, 39926, 108436, 60634, 30512, 114140, 54926, 105908, 103082, 5486, 113702, 29295, 50928, 110071, 103296, 17701, 94923, 54926, 109335, 102717, 19732, 124592, 124897, 1811, 43444, 64803, 7705, 6806, 115316, 72516, 39926, 109467, 50021, 111813, 103082, 38144, 19732, 111243, 115003, 231, 102800, 119627, 18630, 111, 98, 18655, 72099, 55031, 110596, 47884, 106627, 115032, 126513, 5486, 111234, 52884, 116229, 55031, 33334, 99397, 16995, 114146, 72315, 1811, 5971, 198, 85701, 33503, 15682, 116898, 78183, 81219, 5486, 110567, 30813, 19732, 48915, 114181, 16144, 104721, 33208, 119627, 5486, 103424, 34171, 104398, 112506, 19732, 23706, 234, 34171, 104398, 112506, 16144, 56965, 102052, 5486, 105755, 119045, 109904, 121953, 115991, 33541, 1811, 119653, 106644, 64121, 15682, 107188, 31431, 104328, 67645, 16995, 38641, 1811, 105120, 249, 104398, 104473, 36651, 29295, 21405, 105871, 16144, 89151, 17297, 30512, 126954, 54926, 115789, 91774, 102204, 33541, 1811, 108477, 105, 31958, 54926, 104468, 114715, 111108, 102800, 119627, 5486, 23706, 234, 66378, 19361, 16144, 110567, 30813, 115991, 33541, 1811, 78507, 222, 29295, 102717, 47884, 85791, 16144, 104356, 55031, 89753, 33121, 20834, 38144, 5486, 124428, 102052, 71005, 110104, 103558, 108, 114431, 235, 16144, 101200, 108176, 116245, 1811, 5971, 198, 10110, 18, 7705, 6806, 220, 105871, 104735, 248, 29295, 25827, 29295, 89151, 105871, 20230, 104067, 112990, 5486, 107805, 80805, 71289, 104473, 36651, 30512, 75910, 39926, 37087, 96356, 20230, 108285, 29295, 30369, 112997, 29220, 115991, 33541, 1811, 63415, 104346, 103868, 5486, 43955, 53953, 5486, 110456, 106266, 53953, 29295, 119515, 105469, 26854, 52591, 65575, 71634, 48552, 105228, 33014, 103306, 51330, 105494, 20230, 95221, 116825, 76622, 106956, 106046, 61689, 1811, 220, 102717, 19732, 124592, 16144, 105871, 104735, 248, 29295, 25827, 15682, 5486, 111199, 101860, 64121, 103306, 102321, 33121, 33541, 1811, 112031, 112649, 47884, 5486, 33014, 29295, 104721, 112649, 106644, 64121, 1131, 101961, 24273, 5486, 23706, 234, 16144, 126513, 5486, 76739, 26269, 76428, 29295, 16937, 105266, 15120, 16556, 5486, 103496, 98220, 29295, 15682, 121381, 31431, 21105, 103, 16995, 105908, 114652, 57903, 33541, 1811, 43444, 76208, 7705, 6806, 105729, 114483, 123437, 67075, 16556, 91774, 127567, 99959, 39850, 6447, 102131, 16556, 100604, 126513, 5486, 122412, 120650, 114598, 33503, 102334, 117714, 38641, 76864, 80673, 108048, 15682, 75146, 104792, 104398, 112506, 105871, 104735, 248, 23706, 234, 103195, 105908, 106053, 31958, 127145, 1811, 220, 85701, 15682, 103572, 38574, 95221, 20230, 21105, 103, 16995, 105494, 26854, 105879, 5486, 17701, 118959, 39177, 102052, 61633, 29295, 109215, 38641, 1811, 5971, 198, 105811, 107407, 102677, 109335, 5486, 19361, 105811, 104398, 112506, 30512, 105150, 127258, 54926, 100909, 103470, 102717, 47884, 85791, 29295, 13153, 101544, 54926, 106592, 115552, 78434, 1811, 220, 28713, 19732, 116285, 36896, 51330, 102717, 47884, 85791, 15682, 23706, 234, 108176, 125396, 115991, 33541, 1811, 220, 105871, 104735, 248, 29295, 25827, 15682, 5486, 104398, 112506, 16144, 108901, 40053, 115079, 125131, 112212, 108901, 40053, 115079, 125131, 78434, 1811, 220, 53900, 5486, 115289, 33503, 32149, 120195, 30369, 102944, 5486, 53610, 17620, 29295, 28713, 108005, 115, 31431, 17701, 103836, 102944, 5486, 78459, 109496, 76171, 102472, 91062, 119775, 108008, 20230, 119375, 48634, 34171, 16144, 101182, 102944, 15682, 43568, 104698, 38641, 1811, 220, 102717, 47884, 85791, 29295, 21405, 105871, 20230, 108618, 76947, 102532, 32977, 71005, 109519, 15682, 105721, 35287, 15024, 5486, 102717, 109416, 1041, 113127, 15682, 103721, 108, 31431, 104196, 84389, 107515, 1811, 110325, 20230, 5486, 102780, 16144, 17297, 34048, 15682, 13177, 122279, 33014, 91875, 53953, 105721, 106968, 25287, 10646, 115717, 126172, 102334, 62004, 5486, 91774, 20230, 47884, 47884, 5486, 91774, 102936, 19732, 84389, 29295, 43514, 38641, 1811, 43444, 508, 7705, 6806, 110325, 20230, 9080, 123307, 76622, 111848, 111199, 101860, 102189, 120044, 16144, 107803, 5486, 120044, 16144, 104398, 112506, 20230, 117508, 48915, 101911, 111848, 99959, 126989, 29295, 105623, 226, 108882, 54926, 120266, 61633, 54926, 105908, 107693, 38641, 1811, 5971, 198, 21405, 105871, 20230, 108618, 103836, 103429, 104721, 15682, 7741, 239, 28542, 119775, 91774, 58942, 33541, 1811, 123252, 236, 121432, 29295, 39442, 13153, 109809, 116787, 5486, 31640, 118835, 29295, 76706, 102404, 116787, 5486, 43240, 119064, 53610, 17620, 29295, 21388, 126832, 103846, 5486, 110645, 53610, 111571, 103397, 29295, 125119, 31431, 126172, 115737, 31431, 33541, 1811, 98261, 39926, 72315, 6447, 39880, 38248, 104, 25197, 52884, 6806, 220, 77693, 16556, 5486, 126843, 103983, 20230, 115847, 33503, 15682, 104735, 251, 16144, 74482, 85791, 19732, 57942, 246, 16144, 74482, 85791, 16144, 111571, 103397, 38641, 1811, 113168, 95, 60634, 16144, 118430, 27479, 15682, 45736, 47884, 120268, 30813, 26854, 101921, 104, 114431, 235, 72661, 108436, 60634, 54926, 125396, 115991, 33541, 1811, 220, 85701, 15682, 114715, 111108, 102800, 105879, 5486, 17905, 16144, 117039, 16144, 101200, 110276, 33503, 5486, 60358, 119064, 105871, 104735, 248, 70626, 103242, 20230, 50021, 111813, 39926, 72315, 1811, 5971, 128001, 128000, 567, 26029, 16144, 113949, 108044, 108323, 30512, 50338, 47884, 109335, 63879, 103359, 105226, 16144, 108729, 110783, 110095, 198, 63879, 123863, 118823, 108134, 102052, 5486, 121308, 84150, 122, 109904, 87177, 104482, 3484, 28359, 43240, 117714, 119627, 108048, 33503, 30512, 16555, 110, 30832, 112535, 165, 72581, 17857, 239, 64121, 116446, 5486, 122270, 43511, 78244, 39926, 114732, 101200, 105110, 81219, 108149, 112568, 20230, 63879, 123410, 103087, 35083, 15682, 43568, 16995, 114318, 117952, 106824, 32977, 106548, 24273, 119703, 100909, 36785, 106046, 61689, 9174, 66378, 20230, 5486, 117375, 48634, 16144, 101182, 7, 19732, 34273, 110, 111182, 30046, 29295, 104284, 124475, 114284, 104526, 126559, 8, 63879, 118565, 102472, 115247, 47260, 32131, 91062, 71289, 103350, 124299, 77219, 30512, 16555, 110, 30832, 112535, 122975, 39926, 5486, 103350, 111186, 32977, 72342, 101860, 20230, 16995, 112495, 31431, 39850, 76171, 116229, 20230, 123577, 118928, 94550, 39926, 114732, 109335, 5486, 21043, 66776, 107173, 111098, 76622, 106956, 110229, 38641, 9174, 63879, 15682, 111800, 52084, 76739, 123581, 16073, 20230, 109431, 40862, 124545, 124122, 111234, 52884, 116229, 111363, 17792, 101399, 109904, 71493, 105335, 68759, 122624, 38641, 9174, 67016, 32977, 37656, 50338, 15682, 124897, 9174, 30591, 47884, 17129, 72661, 125534, 108867, 111848, 124572, 108323, 30512, 75146, 20230, 56051, 111800, 110322, 113702, 29295, 43167, 62004, 124195, 5486, 55999, 33035, 39926, 103424, 53901, 26854, 113702, 30512, 20834, 103792, 57933, 29220, 122842, 29295, 102321, 39177, 28542, 16556, 37656, 50338, 20230, 60358, 16995, 122502, 50834, 123410, 102677, 103378, 26854, 105879, 5486, 118124, 109669, 76622, 16144, 43568, 16995, 101335, 65299, 102040, 65299, 15682, 115534, 78244, 19732, 78244, 114598, 104712, 113334, 38641, 9174, 121450, 107908, 115054, 78525, 91062, 103768, 112167, 16144, 63879, 59657, 122, 52884, 77750, 46091, 31640, 30832, 198, 17943, 103359, 105226, 16144, 57933, 108969, 44971, 84477, 105107, 5486, 63879, 59657, 122, 52884, 77750, 271, 32977, 43514, 85791, 25827, 14783, 71289, 97427, 16144, 119695, 39850, 26269, 64810, 78767, 32977, 27384, 102769, 26854, 63879, 16144, 107461, 52414, 115717, 33541, 29295, 5486, 84851, 108867, 121142, 64889, 23187, 54926, 104468, 108008, 20230, 112997, 29220, 30512, 112391, 33541, 9174, 51330, 110783, 110095, 15682, 63879, 16144, 108729, 106826, 103830, 19732, 117952, 115032, 5486, 124572, 108323, 5486, 111800, 110322, 5486, 107624, 95001, 5486, 23226, 106594, 30512, 37087, 47884, 43568, 103984, 56051, 123120, 72661, 101182, 105879, 5486, 63879, 16144, 112113, 70141, 17905, 71289, 109713, 60868, 33710, 103906, 94550, 105352, 119448, 47884, 117375, 114475, 105784, 100909, 108176, 16144, 38641, 9174, 107624, 105242, 46729, 126194, 113702, 16144, 20834, 122101, 63879, 126913, 30046, 103306, 118368, 50834, 119707, 76622, 100481, 47884, 106592, 78698, 105262, 125231, 125651, 1811, 128001, 128000, 2, 121503, 17792, 118482, 109853, 198, 2, 220, 110382, 29295, 27384, 30926, 6447, 121568, 118482, 16144, 13821, 111, 107218, 123, 19967, 13153, 16144, 120098, 198, 567, 98359, 249, 95001, 101268, 253, 105368, 106382, 16144, 30591, 59739, 121867, 198, 114485, 95001, 101268, 253, 105368, 103087, 106518, 15682, 113420, 11883, 8107, 9039, 20230, 106608, 100204, 38144, 9039, 8107, 56965, 32149, 107441, 109215, 106613, 106382, 20230, 78434, 9174, 115181, 95001, 109518, 29295, 78250, 110743, 39442, 112624, 16144, 102944, 109853, 15682, 38129, 30512, 111671, 56051, 8107, 17620, 16144, 109215, 106613, 106382, 117408, 105908, 125545, 9174, 567, 125283, 21990, 121930, 5232, 105525, 17905, 15682, 25446, 53953, 30512, 113801, 110968, 39926, 55031, 82420, 17905, 106609, 110226, 17701, 16144, 82420, 17905, 39177, 23538, 15682, 5486, 53229, 108630, 103306, 113801, 110968, 119432, 9080, 19732, 116216, 61689, 9174, 104604, 20230, 5486, 89408, 126867, 31640, 35330, 114475, 76622, 18655, 76947, 102532, 32977, 47043, 16144, 113801, 110968, 15024, 71289, 60868, 113649, 117718, 104908, 29295, 102048, 234, 8107, 23897, 104989, 16144, 38093, 82420, 117232, 108176, 107803, 5486, 37507, 116358, 110226, 17701, 103306, 82420, 17905, 78434, 9174, 116900, 20230, 5486, 89408, 126867, 47043, 16144, 113801, 110968, 15024, 71289, 60868, 113649, 117718, 104908, 29295, 111587, 104127, 102532, 5486, 31640, 35330, 16144, 18904, 110226, 29295, 103082, 100481, 103470, 111243, 89408, 16144, 38093, 82420, 117232, 16144, 110226, 17701, 20230, 82420, 17905, 21105, 103, 47884, 38144, 15682, 26854, 31431, 107515, 9174, 567, 109517, 119, 11883, 16144, 91774, 104087, 15024, 9458, 103721, 108, 109337, 103854, 10110, 25580, 124237, 106613, 106382, 9458, 39442, 124237, 106613, 106382, 104309, 23954, 25580, 124237, 106382, 11883, 107118, 5486, 112185, 102494, 101335, 71289, 60868, 113649, 117718, 104908, 114475, 76622, 126386, 110115, 31640, 35330, 30512, 46456, 124237, 103836, 102944, 5486, 39442, 124237, 106613, 106382, 107118, 5486, 17663, 16556, 20230, 102494, 101335, 71289, 60868, 113649, 117718, 104908, 114475, 76622, 100934, 110115, 31640, 35330, 16144, 46456, 124237, 16995, 29295, 105721, 78183, 107462, 26854, 102944, 30512, 16995, 61689, 9174, 102048, 234, 8107, 23897, 104989, 16144, 38093, 82420, 117232, 112649, 117295, 33563, 117126, 42506, 71289, 30590, 31640, 46729, 83812, 225, 123160, 46456, 124237, 16995, 15682, 106116, 116358, 106613, 106382, 102052, 72342, 101860, 20230, 5486, 25580, 124237, 33563, 117126, 42506, 71289, 25580, 124237, 46729, 83812, 225, 103306, 117120, 22649, 78434, 9174, 567, 47850, 243, 100472, 33563, 117126, 32977, 106613, 106382, 20230, 125545, 5232, 106649, 23538, 16144, 25580, 124237, 106382, 11883, 198, 72516, 124750, 123160, 115856, 76622, 15017, 101, 38144, 16144, 80699, 126462, 33563, 117126, 42506, 30512, 8107, 124237, 117201, 46456, 124237, 103836, 107803, 104309, 15682, 5486, 46456, 124237, 117714, 9080, 55031, 717, 9953, 2148, 9080, 103296, 16144, 117232, 113115, 106608, 54926, 105494, 16144, 33563, 117126, 42506, 103378, 29295, 109215, 106613, 106382, 117282, 112973, 53229, 108630, 119627, 5486, 106649, 117232, 16144, 25580, 124237, 106382, 11883, 16144, 117591, 120273, 103664, 117232, 29295, 16, 8107, 23897, 123727, 102944, 109853, 15682, 5486, 37087, 109518, 30512, 46456, 124237, 100472, 8107, 17620, 16144, 109215, 106613, 106382, 117408, 105908, 125545, 9174, 567, 110927, 104157, 106759, 71869, 20230, 46456, 124237, 30297, 46729, 83812, 225, 15682, 99959, 39850, 5486, 124108, 103087, 106518, 85188, 5486, 114485, 95001, 101268, 253, 105368, 106382, 15682, 4012, 198, 42016, 104157, 103792, 106759, 71869, 29295, 56438, 54926, 26892, 53953, 104309, 30512, 108703, 31431, 38144, 33122, 105525, 30512, 103792, 105933, 107803, 20230, 106116, 42016, 104157, 106759, 71869, 113115, 39926, 46456, 124237, 30297, 46729, 83812, 225, 104309, 15682, 109215, 106613, 106382, 103306, 104736, 62004, 102204, 107515, 9174, 90620, 15024, 106116, 26892, 53953, 16144, 124108, 103087, 106518, 85188, 71289, 114485, 95001, 101268, 253, 105368, 106382, 109853, 15682, 109215, 106613, 106382, 20230, 70203, 17701, 54926, 105908, 125545, 9174, 53900, 5486, 42016, 104157, 106759, 71869, 55031, 26892, 53953, 50667, 30512, 92693, 16556, 108703, 31431, 38144, 38129, 107113, 107803, 72661, 106116, 26892, 53953, 16144, 124108, 103087, 106518, 85188, 71289, 114485, 95001, 101268, 253, 105368, 106382, 15682, 109215, 106613, 106382, 117408, 105908, 104736, 62004, 124195, 61689, 9174, 567, 111279, 16556, 33655, 100472, 102944, 32977, 106613, 106382, 20230, 108608, 95532, 47043, 30512, 46729, 30926, 11883, 20230, 33420, 106382, 56051, 31431, 5486, 53283, 31431, 40862, 119178, 92693, 16556, 122765, 115926, 56051, 107803, 102052, 106116, 47043, 16144, 117032, 16144, 105525, 112603, 30512, 110226, 17701, 103306, 82420, 17905, 54926, 112973, 53229, 108630, 119627, 106116, 47043, 16144, 106548, 17701, 112603, 19732, 117032, 16144, 105525, 112603, 16144, 66224, 27113, 113127, 120019, 109518, 16144, 117591, 116898, 101860, 33121, 32149, 127181, 24273, 16144, 35330, 109518, 30512, 110226, 17701, 20230, 82420, 17905, 126693, 57980, 16995, 100909, 117084, 61689, 9174, 567, 63091, 110362, 114196, 90962, 106384, 22398, 76947, 104405, 109020, 16144, 95532, 72516, 124750, 125702, 11883, 126783, 123160, 107803, 102052, 5486, 101721, 95221, 31640, 5486, 53610, 45893, 42506, 35330, 123160, 53610, 45893, 101426, 107969, 106382, 71289, 72516, 124750, 16144, 80699, 126462, 33563, 117126, 42506, 5486, 124108, 103087, 106518, 85188, 123160, 106382, 11883, 30512, 118482, 11883, 19732, 46729, 30926, 11883, 20230, 40862, 22649, 9554, 24775, 17620, 54926, 109215, 115991, 33541, 9174, 15120, 87217, 5486, 40862, 22649, 109904, 75146, 107253, 103306, 15682, 107918, 124175, 112212, 60979, 17620, 54926, 41007, 115991, 33541, 29295, 5486, 107918, 124175, 16144, 111017, 40862, 16556, 60979, 17620, 54926, 105908, 110482, 111108, 26854, 107803, 104309, 5486, 115303, 118821, 75146, 107253, 116825, 47884, 31431, 5486, 24775, 17620, 104309, 39926, 106382, 11883, 19732, 15024, 82420, 17905, 126693, 5486, 102782, 58655, 20230, 108323, 50928, 48634, 29295, 21990, 123606 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 58942, 33541, 29295, 5486, 9080, 123307, 76622, 120837, 8239, 114503, 119703, 105879, 5486, 9080, 123307, 76622, 103359, 105226, 30512, 103801, 109954, 1811, 109006, 103991, 37026, 33014, 15682, 9039, 114392, 32149, 107277, 33541, 29295, 5486, 1182, 5486, 79770, 5486, 80504, 5486, 76739, 47260, 11972, 111800, 112984, 30512, 103350, 102923, 39926, 108436, 60634, 30512, 114140, 54926, 105908, 103082, 5486, 113702, 29295, 50928, 110071, 103296, 17701, 94923, 54926, 109335, 102717, 19732, 124592, 124897, 1811, 43444, 64803, 7705, 6806, 115316, 72516, 39926, 109467, 50021, 111813, 103082, 38144, 19732, 111243, 115003, 231, 102800, 119627, 18630, 111, 98, 18655, 72099, 55031, 110596, 47884, 106627, 115032, 126513, 5486, 111234, 52884, 116229, 55031, 33334, 99397, 16995, 114146, 72315, 1811, 5971, 198, 85701, 33503, 15682, 116898, 78183, 81219, 5486, 110567, 30813, 19732, 48915, 114181, 16144, 104721, 33208, 119627, 5486, 103424, 34171, 104398, 112506, 19732, 23706, 234, 34171, 104398, 112506, 16144, 56965, 102052, 5486, 105755, 119045, 109904, 121953, 115991, 33541, 1811, 119653, 106644, 64121, 15682, 107188, 31431, 104328, 67645, 16995, 38641, 1811, 105120, 249, 104398, 104473, 36651, 29295, 21405, 105871, 16144, 89151, 17297, 30512, 126954, 54926, 115789, 91774, 102204, 33541, 1811, 108477, 105, 31958, 54926, 104468, 114715, 111108, 102800, 119627, 5486, 23706, 234, 66378, 19361, 16144, 110567, 30813, 115991, 33541, 1811, 78507, 222, 29295, 102717, 47884, 85791, 16144, 104356, 55031, 89753, 33121, 20834, 38144, 5486, 124428, 102052, 71005, 110104, 103558, 108, 114431, 235, 16144, 101200, 108176, 116245, 1811, 5971, 198, 10110, 18, 7705, 6806, 220, 105871, 104735, 248, 29295, 25827, 29295, 89151, 105871, 20230, 104067, 112990, 5486, 107805, 80805, 71289, 104473, 36651, 30512, 75910, 39926, 37087, 96356, 20230, 108285, 29295, 30369, 112997, 29220, 115991, 33541, 1811, 63415, 104346, 103868, 5486, 43955, 53953, 5486, 110456, 106266, 53953, 29295, 119515, 105469, 26854, 52591, 65575, 71634, 48552, 105228, 33014, 103306, 51330, 105494, 20230, 95221, 116825, 76622, 106956, 106046, 61689, 1811, 220, 102717, 19732, 124592, 16144, 105871, 104735, 248, 29295, 25827, 15682, 5486, 111199, 101860, 64121, 103306, 102321, 33121, 33541, 1811, 112031, 112649, 47884, 5486, 33014, 29295, 104721, 112649, 106644, 64121, 1131, 101961, 24273, 5486, 23706, 234, 16144, 126513, 5486, 76739, 26269, 76428, 29295, 16937, 105266, 15120, 16556, 5486, 103496, 98220, 29295, 15682, 121381, 31431, 21105, 103, 16995, 105908, 114652, 57903, 33541, 1811, 43444, 76208, 7705, 6806, 105729, 114483, 123437, 67075, 16556, 91774, 127567, 99959, 39850, 6447, 102131, 16556, 100604, 126513, 5486, 122412, 120650, 114598, 33503, 102334, 117714, 38641, 76864, 80673, 108048, 15682, 75146, 104792, 104398, 112506, 105871, 104735, 248, 23706, 234, 103195, 105908, 106053, 31958, 127145, 1811, 220, 85701, 15682, 103572, 38574, 95221, 20230, 21105, 103, 16995, 105494, 26854, 105879, 5486, 17701, 118959, 39177, 102052, 61633, 29295, 109215, 38641, 1811, 5971, 198, 105811, 107407, 102677, 109335, 5486, 19361, 105811, 104398, 112506, 30512, 105150, 127258, 54926, 100909, 103470, 102717, 47884, 85791, 29295, 13153, 101544, 54926, 106592, 115552, 78434, 1811, 220, 28713, 19732, 116285, 36896, 51330, 102717, 47884, 85791, 15682, 23706, 234, 108176, 125396, 115991, 33541, 1811, 220, 105871, 104735, 248, 29295, 25827, 15682, 5486, 104398, 112506, 16144, 108901, 40053, 115079, 125131, 112212, 108901, 40053, 115079, 125131, 78434, 1811, 220, 53900, 5486, 115289, 33503, 32149, 120195, 30369, 102944, 5486, 53610, 17620, 29295, 28713, 108005, 115, 31431, 17701, 103836, 102944, 5486, 78459, 109496, 76171, 102472, 91062, 119775, 108008, 20230, 119375, 48634, 34171, 16144, 101182, 102944, 15682, 43568, 104698, 38641, 1811, 220, 102717, 47884, 85791, 29295, 21405, 105871, 20230, 108618, 76947, 102532, 32977, 71005, 109519, 15682, 105721, 35287, 15024, 5486, 102717, 109416, 1041, 113127, 15682, 103721, 108, 31431, 104196, 84389, 107515, 1811, 110325, 20230, 5486, 102780, 16144, 17297, 34048, 15682, 13177, 122279, 33014, 91875, 53953, 105721, 106968, 25287, 10646, 115717, 126172, 102334, 62004, 5486, 91774, 20230, 47884, 47884, 5486, 91774, 102936, 19732, 84389, 29295, 43514, 38641, 1811, 43444, 508, 7705, 6806, 110325, 20230, 9080, 123307, 76622, 111848, 111199, 101860, 102189, 120044, 16144, 107803, 5486, 120044, 16144, 104398, 112506, 20230, 117508, 48915, 101911, 111848, 99959, 126989, 29295, 105623, 226, 108882, 54926, 120266, 61633, 54926, 105908, 107693, 38641, 1811, 5971, 198, 21405, 105871, 20230, 108618, 103836, 103429, 104721, 15682, 7741, 239, 28542, 119775, 91774, 58942, 33541, 1811, 123252, 236, 121432, 29295, 39442, 13153, 109809, 116787, 5486, 31640, 118835, 29295, 76706, 102404, 116787, 5486, 43240, 119064, 53610, 17620, 29295, 21388, 126832, 103846, 5486, 110645, 53610, 111571, 103397, 29295, 125119, 31431, 126172, 115737, 31431, 33541, 1811, 98261, 39926, 72315, 6447, 39880, 38248, 104, 25197, 52884, 6806, 220, 77693, 16556, 5486, 126843, 103983, 20230, 115847, 33503, 15682, 104735, 251, 16144, 74482, 85791, 19732, 57942, 246, 16144, 74482, 85791, 16144, 111571, 103397, 38641, 1811, 113168, 95, 60634, 16144, 118430, 27479, 15682, 45736, 47884, 120268, 30813, 26854, 101921, 104, 114431, 235, 72661, 108436, 60634, 54926, 125396, 115991, 33541, 1811, 220, 85701, 15682, 114715, 111108, 102800, 105879, 5486, 17905, 16144, 117039, 16144, 101200, 110276, 33503, 5486, 60358, 119064, 105871, 104735, 248, 70626, 103242, 20230, 50021, 111813, 39926, 72315, 1811, 5971, 128001, 128000, 567, 26029, 16144, 113949, 108044, 108323, 30512, 50338, 47884, 109335, 63879, 103359, 105226, 16144, 108729, 110783, 110095, 198, 63879, 123863, 118823, 108134, 102052, 5486, 121308, 84150, 122, 109904, 87177, 104482, 3484, 28359, 43240, 117714, 119627, 108048, 33503, 30512, 16555, 110, 30832, 112535, 165, 72581, 17857, 239, 64121, 116446, 5486, 122270, 43511, 78244, 39926, 114732, 101200, 105110, 81219, 108149, 112568, 20230, 63879, 123410, 103087, 35083, 15682, 43568, 16995, 114318, 117952, 106824, 32977, 106548, 24273, 119703, 100909, 36785, 106046, 61689, 9174, 66378, 20230, 5486, 117375, 48634, 16144, 101182, 7, 19732, 34273, 110, 111182, 30046, 29295, 104284, 124475, 114284, 104526, 126559, 8, 63879, 118565, 102472, 115247, 47260, 32131, 91062, 71289, 103350, 124299, 77219, 30512, 16555, 110, 30832, 112535, 122975, 39926, 5486, 103350, 111186, 32977, 72342, 101860, 20230, 16995, 112495, 31431, 39850, 76171, 116229, 20230, 123577, 118928, 94550, 39926, 114732, 109335, 5486, 21043, 66776, 107173, 111098, 76622, 106956, 110229, 38641, 9174, 63879, 15682, 111800, 52084, 76739, 123581, 16073, 20230, 109431, 40862, 124545, 124122, 111234, 52884, 116229, 111363, 17792, 101399, 109904, 71493, 105335, 68759, 122624, 38641, 9174, 67016, 32977, 37656, 50338, 15682, 124897, 9174, 30591, 47884, 17129, 72661, 125534, 108867, 111848, 124572, 108323, 30512, 75146, 20230, 56051, 111800, 110322, 113702, 29295, 43167, 62004, 124195, 5486, 55999, 33035, 39926, 103424, 53901, 26854, 113702, 30512, 20834, 103792, 57933, 29220, 122842, 29295, 102321, 39177, 28542, 16556, 37656, 50338, 20230, 60358, 16995, 122502, 50834, 123410, 102677, 103378, 26854, 105879, 5486, 118124, 109669, 76622, 16144, 43568, 16995, 101335, 65299, 102040, 65299, 15682, 115534, 78244, 19732, 78244, 114598, 104712, 113334, 38641, 9174, 121450, 107908, 115054, 78525, 91062, 103768, 112167, 16144, 63879, 59657, 122, 52884, 77750, 46091, 31640, 30832, 198, 17943, 103359, 105226, 16144, 57933, 108969, 44971, 84477, 105107, 5486, 63879, 59657, 122, 52884, 77750, 271, 32977, 43514, 85791, 25827, 14783, 71289, 97427, 16144, 119695, 39850, 26269, 64810, 78767, 32977, 27384, 102769, 26854, 63879, 16144, 107461, 52414, 115717, 33541, 29295, 5486, 84851, 108867, 121142, 64889, 23187, 54926, 104468, 108008, 20230, 112997, 29220, 30512, 112391, 33541, 9174, 51330, 110783, 110095, 15682, 63879, 16144, 108729, 106826, 103830, 19732, 117952, 115032, 5486, 124572, 108323, 5486, 111800, 110322, 5486, 107624, 95001, 5486, 23226, 106594, 30512, 37087, 47884, 43568, 103984, 56051, 123120, 72661, 101182, 105879, 5486, 63879, 16144, 112113, 70141, 17905, 71289, 109713, 60868, 33710, 103906, 94550, 105352, 119448, 47884, 117375, 114475, 105784, 100909, 108176, 16144, 38641, 9174, 107624, 105242, 46729, 126194, 113702, 16144, 20834, 122101, 63879, 126913, 30046, 103306, 118368, 50834, 119707, 76622, 100481, 47884, 106592, 78698, 105262, 125231, 125651, 1811, 128001, 128000, 2, 121503, 17792, 118482, 109853, 198, 2, 220, 110382, 29295, 27384, 30926, 6447, 121568, 118482, 16144, 13821, 111, 107218, 123, 19967, 13153, 16144, 120098, 198, 567, 98359, 249, 95001, 101268, 253, 105368, 106382, 16144, 30591, 59739, 121867, 198, 114485, 95001, 101268, 253, 105368, 103087, 106518, 15682, 113420, 11883, 8107, 9039, 20230, 106608, 100204, 38144, 9039, 8107, 56965, 32149, 107441, 109215, 106613, 106382, 20230, 78434, 9174, 115181, 95001, 109518, 29295, 78250, 110743, 39442, 112624, 16144, 102944, 109853, 15682, 38129, 30512, 111671, 56051, 8107, 17620, 16144, 109215, 106613, 106382, 117408, 105908, 125545, 9174, 567, 125283, 21990, 121930, 5232, 105525, 17905, 15682, 25446, 53953, 30512, 113801, 110968, 39926, 55031, 82420, 17905, 106609, 110226, 17701, 16144, 82420, 17905, 39177, 23538, 15682, 5486, 53229, 108630, 103306, 113801, 110968, 119432, 9080, 19732, 116216, 61689, 9174, 104604, 20230, 5486, 89408, 126867, 31640, 35330, 114475, 76622, 18655, 76947, 102532, 32977, 47043, 16144, 113801, 110968, 15024, 71289, 60868, 113649, 117718, 104908, 29295, 102048, 234, 8107, 23897, 104989, 16144, 38093, 82420, 117232, 108176, 107803, 5486, 37507, 116358, 110226, 17701, 103306, 82420, 17905, 78434, 9174, 116900, 20230, 5486, 89408, 126867, 47043, 16144, 113801, 110968, 15024, 71289, 60868, 113649, 117718, 104908, 29295, 111587, 104127, 102532, 5486, 31640, 35330, 16144, 18904, 110226, 29295, 103082, 100481, 103470, 111243, 89408, 16144, 38093, 82420, 117232, 16144, 110226, 17701, 20230, 82420, 17905, 21105, 103, 47884, 38144, 15682, 26854, 31431, 107515, 9174, 567, 109517, 119, 11883, 16144, 91774, 104087, 15024, 9458, 103721, 108, 109337, 103854, 10110, 25580, 124237, 106613, 106382, 9458, 39442, 124237, 106613, 106382, 104309, 23954, 25580, 124237, 106382, 11883, 107118, 5486, 112185, 102494, 101335, 71289, 60868, 113649, 117718, 104908, 114475, 76622, 126386, 110115, 31640, 35330, 30512, 46456, 124237, 103836, 102944, 5486, 39442, 124237, 106613, 106382, 107118, 5486, 17663, 16556, 20230, 102494, 101335, 71289, 60868, 113649, 117718, 104908, 114475, 76622, 100934, 110115, 31640, 35330, 16144, 46456, 124237, 16995, 29295, 105721, 78183, 107462, 26854, 102944, 30512, 16995, 61689, 9174, 102048, 234, 8107, 23897, 104989, 16144, 38093, 82420, 117232, 112649, 117295, 33563, 117126, 42506, 71289, 30590, 31640, 46729, 83812, 225, 123160, 46456, 124237, 16995, 15682, 106116, 116358, 106613, 106382, 102052, 72342, 101860, 20230, 5486, 25580, 124237, 33563, 117126, 42506, 71289, 25580, 124237, 46729, 83812, 225, 103306, 117120, 22649, 78434, 9174, 567, 47850, 243, 100472, 33563, 117126, 32977, 106613, 106382, 20230, 125545, 5232, 106649, 23538, 16144, 25580, 124237, 106382, 11883, 198, 72516, 124750, 123160, 115856, 76622, 15017, 101, 38144, 16144, 80699, 126462, 33563, 117126, 42506, 30512, 8107, 124237, 117201, 46456, 124237, 103836, 107803, 104309, 15682, 5486, 46456, 124237, 117714, 9080, 55031, 717, 9953, 2148, 9080, 103296, 16144, 117232, 113115, 106608, 54926, 105494, 16144, 33563, 117126, 42506, 103378, 29295, 109215, 106613, 106382, 117282, 112973, 53229, 108630, 119627, 5486, 106649, 117232, 16144, 25580, 124237, 106382, 11883, 16144, 117591, 120273, 103664, 117232, 29295, 16, 8107, 23897, 123727, 102944, 109853, 15682, 5486, 37087, 109518, 30512, 46456, 124237, 100472, 8107, 17620, 16144, 109215, 106613, 106382, 117408, 105908, 125545, 9174, 567, 110927, 104157, 106759, 71869, 20230, 46456, 124237, 30297, 46729, 83812, 225, 15682, 99959, 39850, 5486, 124108, 103087, 106518, 85188, 5486, 114485, 95001, 101268, 253, 105368, 106382, 15682, 4012, 198, 42016, 104157, 103792, 106759, 71869, 29295, 56438, 54926, 26892, 53953, 104309, 30512, 108703, 31431, 38144, 33122, 105525, 30512, 103792, 105933, 107803, 20230, 106116, 42016, 104157, 106759, 71869, 113115, 39926, 46456, 124237, 30297, 46729, 83812, 225, 104309, 15682, 109215, 106613, 106382, 103306, 104736, 62004, 102204, 107515, 9174, 90620, 15024, 106116, 26892, 53953, 16144, 124108, 103087, 106518, 85188, 71289, 114485, 95001, 101268, 253, 105368, 106382, 109853, 15682, 109215, 106613, 106382, 20230, 70203, 17701, 54926, 105908, 125545, 9174, 53900, 5486, 42016, 104157, 106759, 71869, 55031, 26892, 53953, 50667, 30512, 92693, 16556, 108703, 31431, 38144, 38129, 107113, 107803, 72661, 106116, 26892, 53953, 16144, 124108, 103087, 106518, 85188, 71289, 114485, 95001, 101268, 253, 105368, 106382, 15682, 109215, 106613, 106382, 117408, 105908, 104736, 62004, 124195, 61689, 9174, 567, 111279, 16556, 33655, 100472, 102944, 32977, 106613, 106382, 20230, 108608, 95532, 47043, 30512, 46729, 30926, 11883, 20230, 33420, 106382, 56051, 31431, 5486, 53283, 31431, 40862, 119178, 92693, 16556, 122765, 115926, 56051, 107803, 102052, 106116, 47043, 16144, 117032, 16144, 105525, 112603, 30512, 110226, 17701, 103306, 82420, 17905, 54926, 112973, 53229, 108630, 119627, 106116, 47043, 16144, 106548, 17701, 112603, 19732, 117032, 16144, 105525, 112603, 16144, 66224, 27113, 113127, 120019, 109518, 16144, 117591, 116898, 101860, 33121, 32149, 127181, 24273, 16144, 35330, 109518, 30512, 110226, 17701, 20230, 82420, 17905, 126693, 57980, 16995, 100909, 117084, 61689, 9174, 567, 63091, 110362, 114196, 90962, 106384, 22398, 76947, 104405, 109020, 16144, 95532, 72516, 124750, 125702, 11883, 126783, 123160, 107803, 102052, 5486, 101721, 95221, 31640, 5486, 53610, 45893, 42506, 35330, 123160, 53610, 45893, 101426, 107969, 106382, 71289, 72516, 124750, 16144, 80699, 126462, 33563, 117126, 42506, 5486, 124108, 103087, 106518, 85188, 123160, 106382, 11883, 30512, 118482, 11883, 19732, 46729, 30926, 11883, 20230, 40862, 22649, 9554, 24775, 17620, 54926, 109215, 115991, 33541, 9174, 15120, 87217, 5486, 40862, 22649, 109904, 75146, 107253, 103306, 15682, 107918, 124175, 112212, 60979, 17620, 54926, 41007, 115991, 33541, 29295, 5486, 107918, 124175, 16144, 111017, 40862, 16556, 60979, 17620, 54926, 105908, 110482, 111108, 26854, 107803, 104309, 5486, 115303, 118821, 75146, 107253, 116825, 47884, 31431, 5486, 24775, 17620, 104309, 39926, 106382, 11883, 19732, 15024, 82420, 17905, 126693, 5486, 102782, 58655, 20230, 108323, 50928, 48634, 29295, 21990, 123606 ]
[ 33541, 1811, 128001, 128000, 2, 3749, 683, 97718, 102803, 52884, 55487, 22023, 41007, 109853, 198, 90115, 5486, 1585, 683, 6457, 356, 5319, 16144, 110968, 45932, 231, 38641, 1811, 110589, 15682, 114652, 48154, 105284, 99397, 30512, 16995, 90620, 47884, 5486, 110191, 118372, 113245, 102803, 52884, 55487, 22023, 41007, 109853, 83747, 21105, 232, 87177, 56051, 16995, 106046, 61689, 1811, 1585, 683, 77181, 33334, 65854, 103826, 16144, 78683, 106240, 20230, 106608, 100204, 38144, 5486, 43240, 103311, 26854, 55487, 22023, 41007, 30512, 11883, 37689, 126020, 33541, 109900, 108422, 33121, 16144, 66378, 34171, 30512, 113954, 56051, 17905, 16556, 5486, 32335, 109431, 26854, 55487, 22023, 41007, 30512, 121507, 109768, 90620, 118145, 106515, 16995, 38641, 1811, 126738, 5486, 108608, 103378, 43240, 119064, 17792, 126365, 100481, 90620, 105898, 102334, 62004, 5486, 112113, 109904, 11883, 102158, 15682, 110993, 48634, 33655, 78183, 100604, 104466, 127145, 1811, 107803, 113468, 15682, 112113, 109904, 122984, 29295, 16937, 114392, 103195, 23964, 229, 32938, 32977, 101182, 106046, 61689, 29295, 106116, 28542, 15682, 99849, 124305, 48154, 37729, 28425, 99, 72315, 9174, 567, 118759, 11883, 88367, 26854, 102803, 52884, 55487, 22023, 41007, 198, 77181, 126843, 1585, 683, 16556, 107740, 108608, 102803, 52884, 55487, 22023, 41007, 15682, 17297, 61304, 16144, 121640, 38641, 9174, 20713, 59983, 1585, 683, 80050, 122148, 25005, 253, 94550, 43444, 5463, 5901, 124905, 100472, 71634, 37823, 25005, 253, 94550, 23954, 25963, 59983, 1585, 683, 109228, 113335, 68581, 33710, 33710, 103202, 43444, 6109, 49773, 23954, 34617, 59983, 1585, 683, 111707, 78349, 91482, 118567, 10110, 6109, 49773, 23954, 5463, 5901, 5486, 6109, 49773, 102677, 112113, 124905, 100472, 71634, 37823, 25005, 253, 94550, 104836, 24273, 113115, 106608, 103792, 112973, 66378, 17599, 112, 38641, 113637, 11883, 102158, 102052, 26854, 100204, 64121, 16144, 100604, 24273, 32977, 107991, 32149, 110241, 33121, 107515, 105879, 108048, 77181, 103856, 95399, 77693, 108422, 33121, 16144, 55487, 22023, 41007, 109853, 122984, 78434, 9174, 1585, 683, 80050, 122148, 25005, 253, 94550, 43444, 5463, 5901, 124905, 100472, 71634, 37823, 25005, 253, 94550, 23954, 1585, 683, 80050, 122148, 25005, 253, 94550, 15682, 112113, 9554, 102052, 32335, 32977, 108936, 109904, 71634, 37823, 25005, 253, 94550, 55487, 22023, 41007, 30512, 102832, 61398, 116446, 61689, 1811, 92767, 116474, 78683, 47260, 21990, 104309, 112073, 121944, 103572, 38574, 91774, 100934, 102803, 52884, 55487, 22023, 19732, 112361, 115707, 38641, 1811, 117896, 15682, 126843, 60868, 112164, 11972, 110366, 20230, 5463, 5901, 102677, 107420, 20251, 47260, 33710, 10110, 119526, 30512, 37705, 30369, 124122, 106548, 103214, 64121, 7705, 30512, 38129, 39926, 106482, 66201, 119526, 30512, 89753, 78434, 1811, 60868, 112164, 11972, 110366, 15682, 101682, 76622, 18655, 100472, 106482, 66201, 119526, 30512, 43240, 119064, 17792, 20230, 55487, 22023, 54926, 107734, 111017, 30512, 106529, 76947, 61689, 118855, 5486, 103826, 104680, 26854, 124773, 123437, 67075, 16144, 117501, 20230, 114146, 38144, 106482, 66201, 25446, 105284, 30512, 102936, 114267, 16144, 102944, 30512, 109242, 9039, 107253, 104874, 39926, 55487, 22023, 78434, 9174, 51330, 41007, 16144, 39850, 37823, 67075, 103306, 15682, 5486, 67645, 120950, 103984, 36735, 112, 117501, 121960, 32977, 125261, 9554, 108968, 102769, 33121, 101860, 20230, 5486, 53900, 99849, 103633, 117119, 32307, 102677, 110904, 25129, 72661, 91875, 55723, 30512, 55487, 22023, 54926, 105908, 88367, 103195, 100909, 38641, 9174, 116900, 20230, 68408, 39850, 37823, 67075, 103306, 15682, 5486, 106482, 66201, 30512, 5463, 5901, 20230, 104721, 109033, 39926, 60868, 112164, 11972, 20230, 89753, 17663, 113009, 114715, 19967, 101275, 29295, 109215, 26854, 28542, 38641, 1811, 108936, 9554, 102052, 76960, 19074, 220, 123160, 102741, 112508, 111234, 39880, 16556, 89753, 56051, 31431, 5486, 53900, 26728, 72661, 1360, 71689, 16144, 102803, 64810, 107446, 77181, 26728, 16144, 106482, 66201, 30512, 5463, 5901, 16556, 48915, 34048, 60868, 112164, 11972, 20230, 89753, 17663, 102677, 121432, 29295, 103350, 99741, 103646, 31431, 127145, 9174, 53900, 120953, 120837, 60868, 112164, 11972, 110366, 20230, 127637, 110968, 39926, 110924, 55031, 104721, 109033, 19967, 101275, 19732, 55487, 22023, 29295, 23039, 126832, 103846, 5486, 55487, 22023, 110366, 19732, 103984, 36735, 112, 110366, 16144, 122756, 105268, 104055, 16144, 107507, 91062, 32131, 41758, 10110, 30250, 227, 109337, 7705, 29295, 21990, 100204, 33541, 113637, 55487, 22023, 41007, 16144, 107803, 5486, 103984, 36735, 112, 30046, 19732, 104612, 33710, 107507, 91062, 113245, 71289, 111842, 31431, 15682, 57933, 62903, 71634, 109933, 67075, 20230, 48249, 110071, 103846, 77693, 29295, 27384, 112495, 46456, 108502, 108176, 109335, 102717, 109416, 124897, 1811, 109933, 67075, 77181, 127091, 105284, 99397, 126198, 33503, 114715, 75293, 59739, 123160, 103768, 11883, 117824, 30297, 83799, 121711, 33541, 1811, 104612, 33710, 107507, 91062, 34171, 29295, 32018, 62004, 110071, 55487, 22023, 109853, 15682, 5486, 33671, 20230, 122984, 54926, 66953, 113335, 68581, 33710, 33710, 103202, 5486, 111234, 91482, 118567, 30512, 48154, 111800, 118219, 72315, 9174, 1585, 683, 109228, 113335, 68581, 33710, 33710, 103202, 43444, 6109, 49773, 23954, 1585, 683, 97718, 13177, 66953, 113335, 68581, 33710, 33710, 103202, 10646, 115707, 107118, 112825, 110904, 20230, 112844, 19732, 6109, 17905, 16556, 104612, 33710, 107507, 91062, 20230, 91482, 68408, 90962, 33035, 87177, 29295, 108608, 38629, 97718, 105933, 102944, 38641, 1811, 115612, 127091, 39880, 115507, 30512, 125639, 103470, 111243, 5486, 110101, 65299, 119534, 121142, 46034, 117355, 20230, 107740, 54926, 105908, 88367, 38641, 9174, 51330, 41007, 16144, 39850, 37823, 67075, 15682, 26728, 104309, 16556, 112073, 98369, 32977, 25197, 126989, 109768, 90620, 76622, 104533, 91763, 61689, 29295, 5486, 46034, 117355, 30813, 19732, 104612, 33710, 107507, 91062, 34171, 38641, 1811, 103984, 36735, 112, 30046, 19732, 38093, 104760, 119775, 38093, 87177, 21105, 103, 29295, 33503, 103130, 62004, 106956, 64810, 26269, 104272, 109853, 15682, 51330, 41007, 29295, 121507, 57942, 95, 121711, 33541, 1811, 6109, 49773, 102677, 112113, 30512, 102832, 61398, 116446, 108086, 5486, 6109, 71493, 127194, 16144, 106482, 66201, 19732, 68759, 125596, 16144, 79785, 126390, 110101, 65299, 119534, 30512, 33035, 100204, 38144, 71289, 31431, 108167, 54926, 105908, 88367, 117282, 102944, 38641, 113637, 6109, 49773, 102677, 112113, 30512, 118899, 16144, 50170, 71289, 11918, 11, 88750, 21861, 60739, 102083, 100472, 110101, 65299, 119534, 77181, 60868, 121057, 103792, 103846, 5486, 110101, 65299, 119534, 30512, 33035, 100204, 38144, 46034, 117355, 20230, 91482, 68408, 90962, 33035, 87177, 117824, 30297, 105908, 88367, 38641, 9174, 68408, 39850, 37823, 67075, 103306, 15682, 110284, 17792, 9039, 29295, 71634, 37823, 25005, 253, 94550, 126036, 44416, 48249, 115991, 33541, 113637, 41007, 16144, 107803, 102052, 104405, 120837, 122617, 16144, 103984, 36735, 112, 112919, 56965, 16556, 119526, 114475, 22023, 54926, 121142, 103470, 5486, 115364, 79785, 71174, 71289, 106482, 66201, 30512, 37705, 22023, 54926, 109215, 115991, 33541, 109807, 103846, 17792, 9039, 107407, 113314, 44416, 48249, 84389, 33541, 118844, 15682, 5486, 26728, 29295, 92693, 41401, 16556, 112366, 1041, 17792, 103296, 104856, 103836, 16144, 19732, 42016, 103826, 38641, 59459, 2366, 18, 8107, 16, 9953, 112599, 7705, 53900, 120953, 120837, 51385, 23187, 34171, 15682, 25580, 43032, 56051, 5463, 5901, 30512, 107740, 56051, 71634, 37823, 25005, 253, 94550, 115707, 103195, 3749, 683, 80050, 122148, 25005, 253, 94550, 105755, 15682, 124490, 105784, 28190, 115991, 33541, 1811, 112073, 98369, 32977, 91482, 68408, 90962, 38093, 104760, 104309, 16556, 110284, 112919, 107707, 106482, 66201, 29295, 114715, 108968, 102769, 103468, 31431, 102083, 100472, 106613, 111186, 15682, 101182, 106046, 61689, 29295, 106116, 105933, 25197, 126989, 38641, 9174, 1585, 683, 111707, 78349, 91482, 118567, 43444, 6109, 49773, 23954, 1585, 683, 16144, 13177, 111234, 91482, 118567, 10646, 115707, 15682, 108729, 9554, 102052, 66953, 113335, 68581, 33710, 33710, 103202, 19732, 112361, 126529, 119627, 5486, 103984, 36735, 112, 30046, 110366, 15682, 91482, 68408, 90962, 33035, 87177, 15682, 90962, 52591, 110276, 102494, 65575, 38641, 1811, 22398, 70563, 38248, 104, 115247, 64121, 17701, 102452, 88367, 26854, 116974, 30512, 102404, 23039, 15024, 106116, 16325, 16556, 22398, 70563, 38248, 104, 11972, 15682, 66953, 113335, 68581, 33710, 33710, 103202, 19732, 112361, 104466, 111764, 20230, 68759, 125596, 19732, 71493, 127194, 30512, 110191, 116446, 102404, 78244, 29295, 88367, 38641, 9174, 51330, 41007, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 32977, 108729, 9554, 102052, 25580, 43032, 56051, 13177, 66953, 113335, 68581, 33710, 33710, 103202, 10646, 121432, 20230, 107253, 100204, 33541, 1811, 110284, 30046, 37087, 102351, 29295, 119526, 30512, 37705, 22023, 54926, 113334, 111769, 105879, 5486, 22649, 105242, 17905, 51385, 23187, 34171, 15682, 66953, 113335, 68581, 33710, 33710, 103202, 105755, 15682, 115442, 104533, 91763, 61689, 15024, 118823, 102756, 105048, 20230, 32018, 62004, 110071, 115351, 103438, 32977, 110924, 103296, 109215, 124897, 1811, 38641, 105879, 5486, 110284, 30046, 37087, 102351, 29295, 111764, 20230, 87177, 56051, 31431, 54926, 109215, 29295, 103470, 95221, 117355, 20230, 111234, 91482, 118567, 125523, 105898, 16995, 107803, 102052, 117896, 30512, 48154, 111800, 118219, 72315, 9174, 567, 123485, 16144, 115707, 198, 1585, 683, 77181, 114950, 105352, 36896, 123653, 62004, 121423, 118192, 25005, 97, 11972, 10646, 71289, 13177, 48915, 34048, 116974, 66383, 16995, 100472, 41007, 16556, 48915, 34048, 16144, 102803, 52884, 55487, 22023, 125175, 30512, 107740, 54926, 105908, 88367, 38641, 1811, 117896, 114556, 39926, 15682, 103283, 16144, 77219, 126250, 122984, 54926, 103911, 23187, 38641, 9174, 51330, 104466, 5486, 1585, 683, 15682, 43240, 103826, 26854, 55487, 22023, 16144, 78683, 106240, 107898, 106608, 58942, 108608, 115789, 39850, 37823, 67075, 112028, 59739, 38641, 1811, 13870, 232, 61337, 105107, 25446, 30512, 107740, 54926, 17905, 16556, 5486, 110241, 127091, 16937, 31958, 26854, 28542, 29295, 30591, 104984, 33334, 95221, 117355, 20230, 112167, 101275, 32977, 106624, 15682, 71493, 105335, 68759, 38248, 113, 121057, 68408, 115592, 103296, 33334, 99397, 16995, 114146, 72315, 9174, 567, 116056, 77219, 30512, 102181, 102334, 17792, 128001, 128000, 122481, 16144, 22656, 17161, 38641, 9174, 51330, 27479, 15682, 3922, 104517, 58911, 122678, 56235, 103350, 111186, 32938, 10110, 112827, 111418, 112027, 104378, 102473, 120690, 7705, 102416, 48154, 108385, 47000, 3922, 124097, 20230, 3922, 97135, 16995, 79721, 9174, 33334, 127122, 103826, 16556, 110022, 109518, 3922, 18, 11, 25388, 11, 3101, 35757, 30512, 104517, 58911, 122678, 56235, 103350, 111186, 32938, 107898, 37705, 31431, 54926, 105908, 106084, 79721, 9174, 104517, 58911, 122678, 56235, 103350, 111186, 32938, 10110, 112827, 111418, 112027, 104378, 102473, 120690, 120732, 120690, 101544, 16144, 80866, 22656, 105408, 126328, 3922, 13177, 108008, 11883, 16144, 102404, 101721, 101513, 71289, 89154, 108969, 123160, 95475, 101721, 103359, 105226, 104309, 20230, 103856, 95399, 76706, 11883, 107726, 100481, 90620, 108895, 19732, 78698, 107290, 61689, 118084, 19732, 104655, 102532, 61689, 9174, 112073, 103826, 16144, 48154, 112950, 37689, 30512, 3922, 103856, 95399, 3922, 107734, 80195, 28713, 72342, 100481, 90620, 102532, 108086, 33541, 9174, 126920, 3922, 48154, 108975, 48634, 3922, 97135, 16995, 79721, 9174, 48864, 70626, 101544, 4996, 102246, 101129, 198, 123726, 53953, 114556, 64209, 107407, 3922, 118958, 102321, 47523, 20230, 53901, 103698, 64209, 114792, 103836, 3922, 117501, 109606, 16144, 50338, 104662, 71289, 103242, 109519, 16144, 102404, 77413, 20230, 80631, 95, 112500, 56051, 106046, 103836, 114754, 43167, 30297, 116245, 3922, 77693, 29295, 3922, 33334, 108104, 27384, 9458, 112027, 48864, 70626, 38641, 9174, 33334, 108104, 27384, 9458, 112027, 48864, 70626, 16144, 106718, 71289, 100927, 102351, 15682, 3922, 123331, 71289, 117734, 16556, 112027, 16144, 111629, 108323, 30512, 99849, 27479, 32977, 62004, 47884, 76947, 15682, 13177, 123726, 53953, 15682, 28190, 101828, 16995, 26854, 102836, 91763, 104760, 122543, 3922, 17663, 48154, 16995, 26854, 66383, 102756, 29220, 102756, 29220, 56051, 120208, 30512, 16995, 112185, 20230, 110794, 106307, 76622, 100481, 38144, 3922, 112832, 32977, 29295, 16937, 91763, 104760, 19732, 112391, 30369, 123726, 53953, 16144, 105037, 236, 50338, 50834, 20230, 114099, 102669, 15024, 3922, 117501, 71289, 114754, 97518, 78183, 30369, 106222, 109606, 16144, 50338, 31958, 9458, 50338, 104662, 20230, 28873, 116773, 20230, 114099, 104127, 61689, 9174, 33334, 108104, 27384, 9458, 112027, 48864, 70626, 16556, 3922, 91763, 30297, 25359, 17620, 3922, 123726, 53953, 30512, 106767, 102012, 39926, 17297, 65316, 6447, 118958, 16144, 113954, 71289, 3922, 105755, 126521, 106222, 104654, 16144, 103350, 102321, 121142, 103470, 3922, 33334, 108104, 27384, 9458, 112027, 48864, 70626, 113245, 9080, 104680, 30512, 33035, 100204, 38144, 3922, 106222, 16144, 43240, 119064, 75267, 28190, 16556, 109215, 26854, 109606, 50338, 50338, 48634, 3922, 37823, 117697, 115247, 103087, 105284, 3922, 80988, 239, 105714, 30369, 48634, 3922, 113312, 105085, 48634, 3922, 108975, 104873, 34171, 3922, 41758, 42634, 112164, 33710, 26854, 125456, 123457, 118368, 50834, 109415, 3922, 115364, 22649, 101067, 117408, 120987, 111363, 15355, 231, 125523, 50834, 17129, 109954, 9174, 679, 24, 110895, 59363, 53953, 48864, 70626, 101544, 4996, 102246, 101129, 103480, 118, 198, 112027, 48864, 126636, 112495, 66378, 17599, 112, 15682, 3922, 43240, 103826, 34171, 30512, 121247, 30297, 120266, 57903, 33541, 1811, 28713, 19732, 116285, 125261, 21990, 22649, 48864, 102677, 112027, 48864, 16144, 17620, 102212, 115991, 3922, 125261, 83799, 107328, 48864, 3922, 125261, 32943, 17620, 14888, 234, 48864, 102677, 17620, 102212, 32977, 57903, 33541, 118844, 33503, 15682, 3922, 112027, 16144, 121432, 71289, 106391, 67178, 19732, 20230, 27384, 112495, 121953, 107407, 106592, 104736, 109013, 17905, 16556, 3922, 77693, 33503, 30512, 125261, 54926, 118733, 118958, 112415, 16144, 102831, 39084, 20230, 117598, 103950, 117408, 102944, 38641, 1811, 43240, 103826, 34171, 15682, 112027, 30512, 113954, 54926, 17905, 113245, 107693, 26854, 62903, 25005, 107, 65575, 38641, 9174, 53900, 15120, 24273, 16556, 3922, 118958, 16144, 55999, 33035, 53229, 22649, 30512, 106767, 30369, 115789 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33541, 1811, 128001, 128000, 2, 3749, 683, 97718, 102803, 52884, 55487, 22023, 41007, 109853, 198, 90115, 5486, 1585, 683, 6457, 356, 5319, 16144, 110968, 45932, 231, 38641, 1811, 110589, 15682, 114652, 48154, 105284, 99397, 30512, 16995, 90620, 47884, 5486, 110191, 118372, 113245, 102803, 52884, 55487, 22023, 41007, 109853, 83747, 21105, 232, 87177, 56051, 16995, 106046, 61689, 1811, 1585, 683, 77181, 33334, 65854, 103826, 16144, 78683, 106240, 20230, 106608, 100204, 38144, 5486, 43240, 103311, 26854, 55487, 22023, 41007, 30512, 11883, 37689, 126020, 33541, 109900, 108422, 33121, 16144, 66378, 34171, 30512, 113954, 56051, 17905, 16556, 5486, 32335, 109431, 26854, 55487, 22023, 41007, 30512, 121507, 109768, 90620, 118145, 106515, 16995, 38641, 1811, 126738, 5486, 108608, 103378, 43240, 119064, 17792, 126365, 100481, 90620, 105898, 102334, 62004, 5486, 112113, 109904, 11883, 102158, 15682, 110993, 48634, 33655, 78183, 100604, 104466, 127145, 1811, 107803, 113468, 15682, 112113, 109904, 122984, 29295, 16937, 114392, 103195, 23964, 229, 32938, 32977, 101182, 106046, 61689, 29295, 106116, 28542, 15682, 99849, 124305, 48154, 37729, 28425, 99, 72315, 9174, 567, 118759, 11883, 88367, 26854, 102803, 52884, 55487, 22023, 41007, 198, 77181, 126843, 1585, 683, 16556, 107740, 108608, 102803, 52884, 55487, 22023, 41007, 15682, 17297, 61304, 16144, 121640, 38641, 9174, 20713, 59983, 1585, 683, 80050, 122148, 25005, 253, 94550, 43444, 5463, 5901, 124905, 100472, 71634, 37823, 25005, 253, 94550, 23954, 25963, 59983, 1585, 683, 109228, 113335, 68581, 33710, 33710, 103202, 43444, 6109, 49773, 23954, 34617, 59983, 1585, 683, 111707, 78349, 91482, 118567, 10110, 6109, 49773, 23954, 5463, 5901, 5486, 6109, 49773, 102677, 112113, 124905, 100472, 71634, 37823, 25005, 253, 94550, 104836, 24273, 113115, 106608, 103792, 112973, 66378, 17599, 112, 38641, 113637, 11883, 102158, 102052, 26854, 100204, 64121, 16144, 100604, 24273, 32977, 107991, 32149, 110241, 33121, 107515, 105879, 108048, 77181, 103856, 95399, 77693, 108422, 33121, 16144, 55487, 22023, 41007, 109853, 122984, 78434, 9174, 1585, 683, 80050, 122148, 25005, 253, 94550, 43444, 5463, 5901, 124905, 100472, 71634, 37823, 25005, 253, 94550, 23954, 1585, 683, 80050, 122148, 25005, 253, 94550, 15682, 112113, 9554, 102052, 32335, 32977, 108936, 109904, 71634, 37823, 25005, 253, 94550, 55487, 22023, 41007, 30512, 102832, 61398, 116446, 61689, 1811, 92767, 116474, 78683, 47260, 21990, 104309, 112073, 121944, 103572, 38574, 91774, 100934, 102803, 52884, 55487, 22023, 19732, 112361, 115707, 38641, 1811, 117896, 15682, 126843, 60868, 112164, 11972, 110366, 20230, 5463, 5901, 102677, 107420, 20251, 47260, 33710, 10110, 119526, 30512, 37705, 30369, 124122, 106548, 103214, 64121, 7705, 30512, 38129, 39926, 106482, 66201, 119526, 30512, 89753, 78434, 1811, 60868, 112164, 11972, 110366, 15682, 101682, 76622, 18655, 100472, 106482, 66201, 119526, 30512, 43240, 119064, 17792, 20230, 55487, 22023, 54926, 107734, 111017, 30512, 106529, 76947, 61689, 118855, 5486, 103826, 104680, 26854, 124773, 123437, 67075, 16144, 117501, 20230, 114146, 38144, 106482, 66201, 25446, 105284, 30512, 102936, 114267, 16144, 102944, 30512, 109242, 9039, 107253, 104874, 39926, 55487, 22023, 78434, 9174, 51330, 41007, 16144, 39850, 37823, 67075, 103306, 15682, 5486, 67645, 120950, 103984, 36735, 112, 117501, 121960, 32977, 125261, 9554, 108968, 102769, 33121, 101860, 20230, 5486, 53900, 99849, 103633, 117119, 32307, 102677, 110904, 25129, 72661, 91875, 55723, 30512, 55487, 22023, 54926, 105908, 88367, 103195, 100909, 38641, 9174, 116900, 20230, 68408, 39850, 37823, 67075, 103306, 15682, 5486, 106482, 66201, 30512, 5463, 5901, 20230, 104721, 109033, 39926, 60868, 112164, 11972, 20230, 89753, 17663, 113009, 114715, 19967, 101275, 29295, 109215, 26854, 28542, 38641, 1811, 108936, 9554, 102052, 76960, 19074, 220, 123160, 102741, 112508, 111234, 39880, 16556, 89753, 56051, 31431, 5486, 53900, 26728, 72661, 1360, 71689, 16144, 102803, 64810, 107446, 77181, 26728, 16144, 106482, 66201, 30512, 5463, 5901, 16556, 48915, 34048, 60868, 112164, 11972, 20230, 89753, 17663, 102677, 121432, 29295, 103350, 99741, 103646, 31431, 127145, 9174, 53900, 120953, 120837, 60868, 112164, 11972, 110366, 20230, 127637, 110968, 39926, 110924, 55031, 104721, 109033, 19967, 101275, 19732, 55487, 22023, 29295, 23039, 126832, 103846, 5486, 55487, 22023, 110366, 19732, 103984, 36735, 112, 110366, 16144, 122756, 105268, 104055, 16144, 107507, 91062, 32131, 41758, 10110, 30250, 227, 109337, 7705, 29295, 21990, 100204, 33541, 113637, 55487, 22023, 41007, 16144, 107803, 5486, 103984, 36735, 112, 30046, 19732, 104612, 33710, 107507, 91062, 113245, 71289, 111842, 31431, 15682, 57933, 62903, 71634, 109933, 67075, 20230, 48249, 110071, 103846, 77693, 29295, 27384, 112495, 46456, 108502, 108176, 109335, 102717, 109416, 124897, 1811, 109933, 67075, 77181, 127091, 105284, 99397, 126198, 33503, 114715, 75293, 59739, 123160, 103768, 11883, 117824, 30297, 83799, 121711, 33541, 1811, 104612, 33710, 107507, 91062, 34171, 29295, 32018, 62004, 110071, 55487, 22023, 109853, 15682, 5486, 33671, 20230, 122984, 54926, 66953, 113335, 68581, 33710, 33710, 103202, 5486, 111234, 91482, 118567, 30512, 48154, 111800, 118219, 72315, 9174, 1585, 683, 109228, 113335, 68581, 33710, 33710, 103202, 43444, 6109, 49773, 23954, 1585, 683, 97718, 13177, 66953, 113335, 68581, 33710, 33710, 103202, 10646, 115707, 107118, 112825, 110904, 20230, 112844, 19732, 6109, 17905, 16556, 104612, 33710, 107507, 91062, 20230, 91482, 68408, 90962, 33035, 87177, 29295, 108608, 38629, 97718, 105933, 102944, 38641, 1811, 115612, 127091, 39880, 115507, 30512, 125639, 103470, 111243, 5486, 110101, 65299, 119534, 121142, 46034, 117355, 20230, 107740, 54926, 105908, 88367, 38641, 9174, 51330, 41007, 16144, 39850, 37823, 67075, 15682, 26728, 104309, 16556, 112073, 98369, 32977, 25197, 126989, 109768, 90620, 76622, 104533, 91763, 61689, 29295, 5486, 46034, 117355, 30813, 19732, 104612, 33710, 107507, 91062, 34171, 38641, 1811, 103984, 36735, 112, 30046, 19732, 38093, 104760, 119775, 38093, 87177, 21105, 103, 29295, 33503, 103130, 62004, 106956, 64810, 26269, 104272, 109853, 15682, 51330, 41007, 29295, 121507, 57942, 95, 121711, 33541, 1811, 6109, 49773, 102677, 112113, 30512, 102832, 61398, 116446, 108086, 5486, 6109, 71493, 127194, 16144, 106482, 66201, 19732, 68759, 125596, 16144, 79785, 126390, 110101, 65299, 119534, 30512, 33035, 100204, 38144, 71289, 31431, 108167, 54926, 105908, 88367, 117282, 102944, 38641, 113637, 6109, 49773, 102677, 112113, 30512, 118899, 16144, 50170, 71289, 11918, 11, 88750, 21861, 60739, 102083, 100472, 110101, 65299, 119534, 77181, 60868, 121057, 103792, 103846, 5486, 110101, 65299, 119534, 30512, 33035, 100204, 38144, 46034, 117355, 20230, 91482, 68408, 90962, 33035, 87177, 117824, 30297, 105908, 88367, 38641, 9174, 68408, 39850, 37823, 67075, 103306, 15682, 110284, 17792, 9039, 29295, 71634, 37823, 25005, 253, 94550, 126036, 44416, 48249, 115991, 33541, 113637, 41007, 16144, 107803, 102052, 104405, 120837, 122617, 16144, 103984, 36735, 112, 112919, 56965, 16556, 119526, 114475, 22023, 54926, 121142, 103470, 5486, 115364, 79785, 71174, 71289, 106482, 66201, 30512, 37705, 22023, 54926, 109215, 115991, 33541, 109807, 103846, 17792, 9039, 107407, 113314, 44416, 48249, 84389, 33541, 118844, 15682, 5486, 26728, 29295, 92693, 41401, 16556, 112366, 1041, 17792, 103296, 104856, 103836, 16144, 19732, 42016, 103826, 38641, 59459, 2366, 18, 8107, 16, 9953, 112599, 7705, 53900, 120953, 120837, 51385, 23187, 34171, 15682, 25580, 43032, 56051, 5463, 5901, 30512, 107740, 56051, 71634, 37823, 25005, 253, 94550, 115707, 103195, 3749, 683, 80050, 122148, 25005, 253, 94550, 105755, 15682, 124490, 105784, 28190, 115991, 33541, 1811, 112073, 98369, 32977, 91482, 68408, 90962, 38093, 104760, 104309, 16556, 110284, 112919, 107707, 106482, 66201, 29295, 114715, 108968, 102769, 103468, 31431, 102083, 100472, 106613, 111186, 15682, 101182, 106046, 61689, 29295, 106116, 105933, 25197, 126989, 38641, 9174, 1585, 683, 111707, 78349, 91482, 118567, 43444, 6109, 49773, 23954, 1585, 683, 16144, 13177, 111234, 91482, 118567, 10646, 115707, 15682, 108729, 9554, 102052, 66953, 113335, 68581, 33710, 33710, 103202, 19732, 112361, 126529, 119627, 5486, 103984, 36735, 112, 30046, 110366, 15682, 91482, 68408, 90962, 33035, 87177, 15682, 90962, 52591, 110276, 102494, 65575, 38641, 1811, 22398, 70563, 38248, 104, 115247, 64121, 17701, 102452, 88367, 26854, 116974, 30512, 102404, 23039, 15024, 106116, 16325, 16556, 22398, 70563, 38248, 104, 11972, 15682, 66953, 113335, 68581, 33710, 33710, 103202, 19732, 112361, 104466, 111764, 20230, 68759, 125596, 19732, 71493, 127194, 30512, 110191, 116446, 102404, 78244, 29295, 88367, 38641, 9174, 51330, 41007, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 32977, 108729, 9554, 102052, 25580, 43032, 56051, 13177, 66953, 113335, 68581, 33710, 33710, 103202, 10646, 121432, 20230, 107253, 100204, 33541, 1811, 110284, 30046, 37087, 102351, 29295, 119526, 30512, 37705, 22023, 54926, 113334, 111769, 105879, 5486, 22649, 105242, 17905, 51385, 23187, 34171, 15682, 66953, 113335, 68581, 33710, 33710, 103202, 105755, 15682, 115442, 104533, 91763, 61689, 15024, 118823, 102756, 105048, 20230, 32018, 62004, 110071, 115351, 103438, 32977, 110924, 103296, 109215, 124897, 1811, 38641, 105879, 5486, 110284, 30046, 37087, 102351, 29295, 111764, 20230, 87177, 56051, 31431, 54926, 109215, 29295, 103470, 95221, 117355, 20230, 111234, 91482, 118567, 125523, 105898, 16995, 107803, 102052, 117896, 30512, 48154, 111800, 118219, 72315, 9174, 567, 123485, 16144, 115707, 198, 1585, 683, 77181, 114950, 105352, 36896, 123653, 62004, 121423, 118192, 25005, 97, 11972, 10646, 71289, 13177, 48915, 34048, 116974, 66383, 16995, 100472, 41007, 16556, 48915, 34048, 16144, 102803, 52884, 55487, 22023, 125175, 30512, 107740, 54926, 105908, 88367, 38641, 1811, 117896, 114556, 39926, 15682, 103283, 16144, 77219, 126250, 122984, 54926, 103911, 23187, 38641, 9174, 51330, 104466, 5486, 1585, 683, 15682, 43240, 103826, 26854, 55487, 22023, 16144, 78683, 106240, 107898, 106608, 58942, 108608, 115789, 39850, 37823, 67075, 112028, 59739, 38641, 1811, 13870, 232, 61337, 105107, 25446, 30512, 107740, 54926, 17905, 16556, 5486, 110241, 127091, 16937, 31958, 26854, 28542, 29295, 30591, 104984, 33334, 95221, 117355, 20230, 112167, 101275, 32977, 106624, 15682, 71493, 105335, 68759, 38248, 113, 121057, 68408, 115592, 103296, 33334, 99397, 16995, 114146, 72315, 9174, 567, 116056, 77219, 30512, 102181, 102334, 17792, 128001, 128000, 122481, 16144, 22656, 17161, 38641, 9174, 51330, 27479, 15682, 3922, 104517, 58911, 122678, 56235, 103350, 111186, 32938, 10110, 112827, 111418, 112027, 104378, 102473, 120690, 7705, 102416, 48154, 108385, 47000, 3922, 124097, 20230, 3922, 97135, 16995, 79721, 9174, 33334, 127122, 103826, 16556, 110022, 109518, 3922, 18, 11, 25388, 11, 3101, 35757, 30512, 104517, 58911, 122678, 56235, 103350, 111186, 32938, 107898, 37705, 31431, 54926, 105908, 106084, 79721, 9174, 104517, 58911, 122678, 56235, 103350, 111186, 32938, 10110, 112827, 111418, 112027, 104378, 102473, 120690, 120732, 120690, 101544, 16144, 80866, 22656, 105408, 126328, 3922, 13177, 108008, 11883, 16144, 102404, 101721, 101513, 71289, 89154, 108969, 123160, 95475, 101721, 103359, 105226, 104309, 20230, 103856, 95399, 76706, 11883, 107726, 100481, 90620, 108895, 19732, 78698, 107290, 61689, 118084, 19732, 104655, 102532, 61689, 9174, 112073, 103826, 16144, 48154, 112950, 37689, 30512, 3922, 103856, 95399, 3922, 107734, 80195, 28713, 72342, 100481, 90620, 102532, 108086, 33541, 9174, 126920, 3922, 48154, 108975, 48634, 3922, 97135, 16995, 79721, 9174, 48864, 70626, 101544, 4996, 102246, 101129, 198, 123726, 53953, 114556, 64209, 107407, 3922, 118958, 102321, 47523, 20230, 53901, 103698, 64209, 114792, 103836, 3922, 117501, 109606, 16144, 50338, 104662, 71289, 103242, 109519, 16144, 102404, 77413, 20230, 80631, 95, 112500, 56051, 106046, 103836, 114754, 43167, 30297, 116245, 3922, 77693, 29295, 3922, 33334, 108104, 27384, 9458, 112027, 48864, 70626, 38641, 9174, 33334, 108104, 27384, 9458, 112027, 48864, 70626, 16144, 106718, 71289, 100927, 102351, 15682, 3922, 123331, 71289, 117734, 16556, 112027, 16144, 111629, 108323, 30512, 99849, 27479, 32977, 62004, 47884, 76947, 15682, 13177, 123726, 53953, 15682, 28190, 101828, 16995, 26854, 102836, 91763, 104760, 122543, 3922, 17663, 48154, 16995, 26854, 66383, 102756, 29220, 102756, 29220, 56051, 120208, 30512, 16995, 112185, 20230, 110794, 106307, 76622, 100481, 38144, 3922, 112832, 32977, 29295, 16937, 91763, 104760, 19732, 112391, 30369, 123726, 53953, 16144, 105037, 236, 50338, 50834, 20230, 114099, 102669, 15024, 3922, 117501, 71289, 114754, 97518, 78183, 30369, 106222, 109606, 16144, 50338, 31958, 9458, 50338, 104662, 20230, 28873, 116773, 20230, 114099, 104127, 61689, 9174, 33334, 108104, 27384, 9458, 112027, 48864, 70626, 16556, 3922, 91763, 30297, 25359, 17620, 3922, 123726, 53953, 30512, 106767, 102012, 39926, 17297, 65316, 6447, 118958, 16144, 113954, 71289, 3922, 105755, 126521, 106222, 104654, 16144, 103350, 102321, 121142, 103470, 3922, 33334, 108104, 27384, 9458, 112027, 48864, 70626, 113245, 9080, 104680, 30512, 33035, 100204, 38144, 3922, 106222, 16144, 43240, 119064, 75267, 28190, 16556, 109215, 26854, 109606, 50338, 50338, 48634, 3922, 37823, 117697, 115247, 103087, 105284, 3922, 80988, 239, 105714, 30369, 48634, 3922, 113312, 105085, 48634, 3922, 108975, 104873, 34171, 3922, 41758, 42634, 112164, 33710, 26854, 125456, 123457, 118368, 50834, 109415, 3922, 115364, 22649, 101067, 117408, 120987, 111363, 15355, 231, 125523, 50834, 17129, 109954, 9174, 679, 24, 110895, 59363, 53953, 48864, 70626, 101544, 4996, 102246, 101129, 103480, 118, 198, 112027, 48864, 126636, 112495, 66378, 17599, 112, 15682, 3922, 43240, 103826, 34171, 30512, 121247, 30297, 120266, 57903, 33541, 1811, 28713, 19732, 116285, 125261, 21990, 22649, 48864, 102677, 112027, 48864, 16144, 17620, 102212, 115991, 3922, 125261, 83799, 107328, 48864, 3922, 125261, 32943, 17620, 14888, 234, 48864, 102677, 17620, 102212, 32977, 57903, 33541, 118844, 33503, 15682, 3922, 112027, 16144, 121432, 71289, 106391, 67178, 19732, 20230, 27384, 112495, 121953, 107407, 106592, 104736, 109013, 17905, 16556, 3922, 77693, 33503, 30512, 125261, 54926, 118733, 118958, 112415, 16144, 102831, 39084, 20230, 117598, 103950, 117408, 102944, 38641, 1811, 43240, 103826, 34171, 15682, 112027, 30512, 113954, 54926, 17905, 113245, 107693, 26854, 62903, 25005, 107, 65575, 38641, 9174, 53900, 15120, 24273, 16556, 3922, 118958, 16144, 55999, 33035, 53229, 22649, 30512, 106767, 30369, 115789 ]
[ 112027, 48864, 16144, 30832, 105888, 16144, 115303, 59739, 38641, 1811, 43240, 104091, 43240, 103826, 26854, 118958, 112415, 30512, 88367, 117408, 53229, 22649, 107118, 127091, 109900, 30512, 104584, 50834, 50520, 108, 62004, 104984, 3922, 127960, 17905, 16144, 118958, 33014, 16144, 48706, 30512, 88356, 23187, 104577, 54926, 100909, 108176, 123253, 9174, 33334, 108104, 16144, 53610, 114083, 102667, 16144, 112027, 48864, 70626, 15682, 3922, 51330, 105933, 43240, 103826, 34171, 19732, 105156, 15120, 34171, 16144, 110176, 24273, 30512, 103984, 102212, 109156, 106824, 3922, 102473, 19732, 104378, 30512, 77413, 87447, 127145, 1811, 118958, 30512, 102158, 30369, 124122, 104195, 107608, 26854, 48864, 103991, 75146, 114457, 126694, 31431, 109415, 3922, 77693, 30512, 32977, 19732, 20230, 106222, 111363, 80631, 95, 112500, 30512, 30832, 64467, 78434, 9174, 86127, 105459, 19732, 126419, 20230, 13177, 112027, 46091, 11881, 100, 118587, 103868, 78183, 76947, 64121, 107515, 32149, 9174, 114565, 966, 110895, 59363, 53953, 48864, 70626, 101544, 83639, 17905, 106594, 108285, 198, 108285, 119318, 116310, 20230, 110968, 30369, 112027, 48864, 108761, 103438, 16144, 48864, 34048, 104378, 30512, 83747, 17792, 9039, 16144, 42016, 104297, 21990, 19732, 101682, 76622, 110071, 109335, 108948, 108104, 27384, 112027, 48864, 70626, 105110, 77181, 16144, 101523, 227, 48634, 38641, 1811, 123737, 20230, 117943, 110615, 118733, 5486, 102473, 102452, 77181, 111482, 121142, 105321, 72661, 71289, 31431, 79721, 109807, 106613, 111186, 15682, 121453, 102800, 48864, 99397, 30512, 109832, 13153, 54926, 100909, 121453, 102800, 121606, 30512, 109832, 30369, 120266, 5486, 109526, 232, 109526, 229, 54926, 100909, 103470, 124563, 31431, 105104, 31431, 32149, 17129, 124059, 120650, 91875, 54926, 100909, 107294, 105722, 31431, 79721, 9174, 105466, 18630, 37209, 122393, 198, 1049, 21, 8107, 10447, 234, 123, 106554, 108363, 101682, 108363, 220, 103932, 17905, 48864, 103991, 108363, 101682, 108363, 198, 102667, 113146, 16144, 106592, 114284, 36785, 17663, 110018, 5486, 108064, 108031, 26854, 36785, 106824, 103801, 61689, 1811, 26854, 20230, 15024, 85791, 5486, 19000, 48864, 16325, 5486, 107188, 31431, 53508, 231, 104195, 30512, 21105, 103, 102518, 55031, 38641, 9174, 53508, 231, 104195, 30512, 21105, 103, 117201, 99849, 30512, 107113, 32149, 102083, 116285, 5486, 107141, 101275, 30512, 30813, 109416, 76947, 111629, 124020, 120650, 50834, 16995, 43514, 20230, 43514, 100204, 116186, 30297, 22656, 30512, 98499, 104127, 102334, 31431, 5486, 107980, 110898, 117083, 13372, 55723, 103605, 20230, 16995, 43514, 20230, 43514, 100204, 116186, 30297, 124629, 27699, 116, 76947, 120366, 104088, 101732, 31431, 116898, 43514, 20230, 43514, 100204, 116186, 30297, 60868, 105048, 114615, 34048, 102452, 20230, 22957, 32977, 76947, 30297, 36785, 30297, 36785, 56051, 31431, 107113, 31431, 5486, 107113, 105879, 56051, 9174, 31809, 108323, 46729, 198, 2550, 21, 8107, 107820, 98, 101701, 108363, 101682, 108363, 198, 122571, 4468, 22, 12, 3753, 16, 116358, 56965, 5486, 22649, 48864, 34048, 112027, 48864, 70626, 10110, 104398, 112506, 112027, 48864, 114341, 103605, 7705, 16556, 48864, 102802, 5486, 23951, 101559, 111681, 39607, 23951, 35287, 74482, 5486, 101778, 49409, 102667, 16144, 22649, 48864, 34048, 121987, 111681, 39607, 23951, 35287, 30512, 106613, 38144, 5486, 40265, 125344, 114407, 102138, 53610, 106518, 66870, 105466, 102138, 110022, 40862, 121224, 127253, 114407, 101275, 112027, 103087, 39084, 121224, 16556, 89154, 22398, 45923, 29220, 103306, 114407, 101275, 102473, 102321, 75267, 30512, 110968, 31431, 105564, 50834, 79721, 10110, 51330, 56965, 5486, 126326, 5486, 20834, 106518, 5486, 101662, 116581, 30512, 114196, 101275, 123505, 36668, 105350, 102473, 102351, 198, 33334, 108104, 27384, 112027, 102052, 5486, 19268, 17701, 106081, 5486, 120972, 17701, 106081, 5486, 25580, 23538, 9080, 39607, 5486, 74482, 23538, 9080, 39607, 5486, 18, 8107, 33671, 104817, 17701, 104309, 108048, 108422, 33121, 127742, 16144, 101182, 17701, 48864, 106081, 111186, 117824, 76947, 61689, 9174, 52118, 17701, 106081, 108134, 102416, 198, 33334, 108104, 27384, 112027, 77181, 36896, 90962, 107610, 16073, 107391, 115695, 22398, 10646, 36896, 122678, 56235, 103350, 111186, 32938, 113245, 104149, 105677, 64121, 16144, 117734, 21990, 103350, 108710, 10646, 36896, 118192, 108270, 101198, 96452, 64178, 10646, 104309, 5486, 117734, 21990, 107898, 108104, 27384, 112027, 30512, 96356, 60358, 20230, 112391, 111243, 33503, 30297, 25197, 102832, 52414, 30512, 98897, 55723, 127145, 1811, 21043, 66776, 5486, 48154, 110284, 16995, 90620, 50834, 108948, 108104, 27384, 112027, 30512, 96356, 60358, 20230, 112391, 38144, 72315, 9174, 52118, 90962, 107610, 16073, 107391, 115695, 22398, 52118, 104149, 105677, 64121, 16144, 117734, 21990, 103350, 108710, 52118, 118192, 108270, 101198, 96452, 64178, 198, 50834, 62004, 104398, 121867, 104378, 9458, 102473, 9458, 106718, 104654, 60868, 121057, 16556, 5486, 17701, 48864, 55031, 124305, 101275, 103296, 16144, 19, 8107, 56965, 30512, 19361, 37689, 104577, 26854, 102944, 20230, 15024, 5486, 33671, 16144, 107391, 104612, 102416, 103721, 233, 105557, 33541, 9174, 52118, 60868, 121057, 33014, 44416, 198, 33334, 108104, 27384, 112027, 77181, 36896, 16995, 50834, 102944, 10646, 123863, 15777, 380, 16556, 20989, 380, 30512, 113598, 13153, 54926, 103846, 5486, 127742, 16144, 101182, 114341, 104577, 9458, 103350, 108710, 107391, 37823, 123283, 32131, 91062, 125523, 114341, 127145, 1811, 66378, 20230, 103350, 108710, 102052, 121801, 30512, 22324, 16995, 100481, 38144, 5486, 122678, 56235, 103350, 108710, 19, 70626, 30832, 123213, 101467, 103350, 108710, 1032, 70626, 118146, 87447, 114341, 127145, 9174, 52118, 114341, 104577, 9458, 103350, 108710, 198, 19000, 106718, 55031, 5486, 118075, 33334, 108104, 27384, 112027, 114475, 111186, 56051, 114667, 5486, 119560, 103350, 104983, 109156, 76947, 64121, 38144, 112391, 28713, 100909, 5486, 126892, 28190, 101828, 102518, 114341, 104577, 9458, 103350, 108710, 5486, 49412, 96, 45163, 37507, 111363, 110526, 109853, 113164, 102663, 84477, 126130, 22957, 100604, 79721, 9174, 52118, 19000, 101467, 21990, 16144, 71174, 198, 33334, 108104, 27384, 112027, 77181, 5486, 48864, 34048, 21990, 9458, 102667, 94923, 113245, 125559, 104650, 48864, 30512, 84851, 28194, 101, 127145, 107644, 101467, 21990, 15682, 5486, 111828, 30358, 26854, 106613, 111186, 19732, 102158, 48864, 48634, 19732, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 16144, 70141, 17905, 30512, 30832, 64467, 15024, 5486, 125559, 104650, 48864, 117158, 126929, 33541, 9174, 52118, 125559, 104650, 48864, 198, 18, 8107, 21990, 16144, 22, 9953, 20230, 5486, 102208, 102473, 102452, 20230, 125151, 15024, 5486, 124305, 101275, 102473, 125001, 57980, 16995, 57980, 27704, 109709, 33541, 1811, 102473, 112919, 16, 17792, 103306, 5486, 32131, 103672, 39850, 127058, 16144, 60868, 121057, 114475, 76622, 106272, 103350, 111186, 113702, 30512, 108882, 64121, 30358, 101832, 33541, 1811, 679, 23, 110895, 55031, 48864, 34048, 19732, 102667, 94923, 30512, 102971, 104369, 13177, 48864, 101559, 9458, 23951, 101559, 15120, 80631, 104, 104378, 20251, 118359, 10646, 114305, 29295, 106839, 17701, 116216, 61689, 9174, 52118, 102473, 102452, 55487, 103204, 5486, 124305, 101275, 102473, 198, 102473, 13153, 28873, 15682, 5486, 120284, 106901, 109793, 33710, 113245, 105242, 17161, 35417, 21405, 71289, 124052, 113245, 40526, 103892, 9458, 89154, 115332, 125053, 54926, 118733, 5486, 33671, 16144, 102473, 16144, 75146, 114457, 71289, 57207, 106240, 121711, 33541, 1811, 48864, 48915, 16144, 102473, 30046, 110792, 113841, 16144, 75267, 103306, 32977, 124052, 110284, 15682, 111828, 30358, 26854, 106613, 111186, 16556, 5486, 108882, 110993, 9554, 107898, 22957, 26854, 76947, 61689, 9174, 52118, 106718, 29295, 103983, 102700, 112919, 105242, 17161, 198, 52118, 101682, 108363, 198, 48864, 34048, 124305, 16556, 81258, 107430, 5486, 102667, 94923, 23951, 101559, 16556, 81258, 107430, 5486, 102667, 94923, 121987, 103296, 103130, 104127, 81258, 107430, 123405, 112568, 15682, 67645, 103171, 107391, 104612, 30512, 30832, 64467, 78434, 32149, 95532, 52118, 81258, 107430, 9458, 103130, 48864, 198, 33334, 108104, 27384, 112027, 16144, 61826, 101477, 102, 24273, 15682, 5486, 103188, 100845, 115, 26854, 81258, 107430, 112415, 30512, 104284, 43514, 113487, 50834, 5486, 105994, 114420, 113871, 121254, 126469, 106222, 16556, 76706, 109526, 235, 127145, 1811, 118075, 33334, 108104, 27384, 112027, 16556, 57980, 102518, 100909, 5486, 119560, 112599, 16144, 117876, 16144, 101523, 227, 48634, 5486, 126892, 45163, 37507, 16144, 113871, 220, 104309, 113164, 102663, 84477, 126130, 22957, 100604, 79721, 9174, 52118, 124305, 101275, 21990, 16144, 71174, 198, 33334, 108104, 27384, 112027, 102052, 5486, 17, 13372, 112197, 108104, 27384, 112027, 12501, 16144, 100927, 102351, 29295, 61689, 1811, 96356, 60358, 26854, 42634, 64178, 123604, 103306, 5486, 102473, 20230, 104378, 20230, 80988, 239, 105714, 30369, 105408, 24273, 15682, 5486, 19000, 101467, 21990, 112197, 46034, 22656, 101983, 103836, 117840, 1811, 128001, 128000, 90115, 5486, 13372, 119906, 16144, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 16144, 35330, 45829, 103043, 226, 38641, 9174, 111299, 106968, 15682, 118937, 32149, 102518, 119627, 5486, 110589, 15682, 15120, 108436, 39926, 117759, 16144, 114941, 31431, 119627, 111476, 122571, 102185, 110918, 111571, 29295, 102717, 127842, 100845, 115, 47884, 38144, 111476, 111299, 106968, 16144, 17, 9080, 56965, 16556, 5486, 102717, 109416, 74396, 103906, 116219, 124905, 16995, 125174, 79721, 42038, 62, 10, 340, 112832, 32149, 103129, 107441, 120700, 21909, 198, 103129, 107441, 120700, 119902, 118647, 198, 31195, 198, 103129, 76622, 30512, 105324, 102189, 29295, 5486, 112832, 32977, 37507, 104435, 31195, 9174, 30813, 42891, 6447, 37271, 111299, 32977, 80988, 239, 105714, 107462, 105898, 16995, 106046, 61689, 32351, 198, 18, 9953, 32977, 124042, 111299, 38641, 9174, 19, 9953, 121254, 107441, 104662, 62004, 123207, 16995, 124324, 105908, 111476, 35417, 86127, 107173, 126250, 25827, 22957, 109466, 31431, 38641, 7, 29, 42843, 340, 30813, 38144, 5486, 110589, 15682, 19, 9953, 20230, 17792, 30926, 108901, 91875, 102677, 24273, 32977, 127181, 119150, 105879, 111476, 17792, 30926, 108901, 91875, 109853, 115408, 91774, 30512, 43032, 103854, 106956, 106046, 61689, 9174, 86127, 124911, 30926, 108901, 91875, 16144, 106613, 111186, 198, 122571, 108901, 91875, 106613, 111186, 29295, 18259, 237, 106624, 38144, 5486, 25580, 107430, 113245, 72516, 124750, 56965, 108901, 91875, 19732, 111476, 107734, 107430, 29295, 106966, 72516, 101544, 52118, 72516, 101544, 52118, 18282, 19732, 115442, 100472, 106613, 111186, 116771, 38641, 9174, 67016, 32977, 5486, 108436, 104157, 56051, 105908, 127637, 126758, 19732, 105898, 9174, 42016, 23538, 16144, 112073, 15682, 5486, 103178, 55139, 71289, 33503, 22023, 104087, 71289, 33503, 111344, 71289, 33503, 101778, 49409, 71289, 33503, 19732, 198, 111717, 23039, 107928, 30512, 103792, 110115, 31195, 9174, 102131, 5486, 59739, 109709, 51330, 87177, 15682, 127880, 106613, 111186, 127303, 109709, 102158, 110615, 31195, 9174, 122270, 5486, 16937, 91763, 104760, 26854, 120266, 72516, 124750, 56965, 108901, 91875, 16144, 125344, 106613, 111186, 9458, 64209, 103496, 102677, 112973, 111476, 37087, 47884, 114284, 20834, 72342, 100604, 116233, 9174, 115389, 104680, 103351, 104865, 5486, 89154, 76428, 103906, 52884, 103351, 104865, 111476, 37087, 47884, 114284, 20834, 72342, 107515, 9174, 102677, 118733, 111476, 37271, 18904, 15682, 127880, 33014, 111186, 111813, 126194, 111476, 28190, 111813, 16556, 33334, 38093, 16995, 54926, 32018, 107430, 112919, 24273, 16144, 64209, 103496, 30512, 102832, 61398, 20230, 198, 113727, 100481, 105898, 16995, 106046, 61689, 9174, 17792, 30926, 108901, 91875, 19732, 108436, 107430, 16144, 116690, 34171, 198, 17792, 30926, 108901, 91875, 102083, 114598, 5486, 34048, 32943, 127284, 19732, 34048, 113112, 108901, 91875, 19732, 57903, 33541, 9174, 34048, 32943, 127284, 15682, 5486, 117876, 44915, 29295, 119448, 47884, 124500, 30369, 117735, 111769, 126465, 29295, 127181, 105879, 111476, 77693, 30512, 50834, 42891, 126929, 20230, 108436, 107430, 30512, 111800, 118219, 107001, 24273, 15682, 37656, 74245, 83747, 100604, 38641, 9174, 101182, 19732, 126693, 5486, 17905, 101544, 110792, 50021, 34171, 29295, 40862, 78183, 100604, 126465, 25129, 38641, 9174, 43511, 24273, 5486, 34048, 113112, 108901, 91875, 109853, 15682, 111476, 117876, 44915, 29295, 124500, 30369, 126465, 29295, 43240, 47884, 111476, 105994, 29295, 58426, 117876, 16556, 107391, 104612, 30512, 108882, 64121, 30358, 101832, 100481, 108895, 106046, 103836, 24273, 15682, 111476, 34048, 113112, 108901, 91875, 29295, 50834, 42891, 126929, 16556, 108436, 107430, 30512, 111800, 118219, 107001, 24273, 29295, 127181, 38641, 9174, 51330, 107803, 16144, 111800, 118219, 17663, 125231, 109335, 111476, 105994, 29295, 108695, 112454, 103204, 25287, 32149, 5486, 117876, 112454, 103204, 25287, 16144, 67645, 112384, 20230, 40265, 38144, 15682, 115464, 32149, 102677, 100909, 38641, 9174, 108695, 112454, 103204, 25287, 102677, 104468, 5486, 88435, 121640, 117119, 123410, 32149, 102677, 126036, 111476, 58426, 108695, 20230, 112454, 103204, 37689, 109375, 114792, 103836, 24273, 30512, 64467, 78434, 9174, 50928, 46034, 115820, 46034, 15682, 30591, 114598, 117876, 44915, 20230, 22957, 36785, 78183, 110104, 24273, 29295, 127181, 38641, 9174, 43511, 24273, 5486, 117876, 112454, 103204, 25287, 15682, 111476, 117876, 5486, 107430, 104091, 20230, 112454, 103204, 54926, 105879, 5486, 34048, 113112, 108901, 91875, 29295, 50834, 42891, 126929, 16556, 111476, 108436, 107430, 20230, 91875, 32149, 104028, 24273, 15682, 127181, 38641, 9174, 122571, 102159, 105390, 20230, 67645, 112384, 29295, 104712, 102677, 117735, 111769, 16144, 119627, 111476, 110698, 42506, 30512, 109415, 30369, 102677, 99750, 112854, 16556, 16995, 76622, 81219, 5486, 107734, 107430, 30512, 109415, 100481, 47884, 111476, 59739, 109709, 108695, 16556, 17905, 20230, 29741, 107462, 107188, 118145, 16995, 124324, 105879, 111476, 58426, 103984, 28542, 16556, 78698, 105262, 125231, 106592, 108031, 114715, 113727, 33541, 9174, 117876, 112454, 103204, 25287, 120332, 29295, 78698, 105262, 125231, 103984, 28542, 198, 117876, 44915, 30512, 104622, 61826, 39926, 113727, 100934, 102677, 28542, 16556, 78244, 116285, 111476, 88435, 121640, 5486, 118347, 105988, 124766, 103306, 16144, 107391, 104612, 30512, 198, 19967, 107462, 76622, 33541, 9174, 80673, 5486, 17905, 25129, 107430, 30046, 20230, 115442, 107462, 126145, 5486, 34048, 113112, 56965, 113245, 104873, 64531, 32977, 43240, 115737, 31431, 111476, 43511, 34048, 113112, 113954, 71289, 5486, 102831, 18904, 119432, 100472, 106556, 50667, 32977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 112027, 48864, 16144, 30832, 105888, 16144, 115303, 59739, 38641, 1811, 43240, 104091, 43240, 103826, 26854, 118958, 112415, 30512, 88367, 117408, 53229, 22649, 107118, 127091, 109900, 30512, 104584, 50834, 50520, 108, 62004, 104984, 3922, 127960, 17905, 16144, 118958, 33014, 16144, 48706, 30512, 88356, 23187, 104577, 54926, 100909, 108176, 123253, 9174, 33334, 108104, 16144, 53610, 114083, 102667, 16144, 112027, 48864, 70626, 15682, 3922, 51330, 105933, 43240, 103826, 34171, 19732, 105156, 15120, 34171, 16144, 110176, 24273, 30512, 103984, 102212, 109156, 106824, 3922, 102473, 19732, 104378, 30512, 77413, 87447, 127145, 1811, 118958, 30512, 102158, 30369, 124122, 104195, 107608, 26854, 48864, 103991, 75146, 114457, 126694, 31431, 109415, 3922, 77693, 30512, 32977, 19732, 20230, 106222, 111363, 80631, 95, 112500, 30512, 30832, 64467, 78434, 9174, 86127, 105459, 19732, 126419, 20230, 13177, 112027, 46091, 11881, 100, 118587, 103868, 78183, 76947, 64121, 107515, 32149, 9174, 114565, 966, 110895, 59363, 53953, 48864, 70626, 101544, 83639, 17905, 106594, 108285, 198, 108285, 119318, 116310, 20230, 110968, 30369, 112027, 48864, 108761, 103438, 16144, 48864, 34048, 104378, 30512, 83747, 17792, 9039, 16144, 42016, 104297, 21990, 19732, 101682, 76622, 110071, 109335, 108948, 108104, 27384, 112027, 48864, 70626, 105110, 77181, 16144, 101523, 227, 48634, 38641, 1811, 123737, 20230, 117943, 110615, 118733, 5486, 102473, 102452, 77181, 111482, 121142, 105321, 72661, 71289, 31431, 79721, 109807, 106613, 111186, 15682, 121453, 102800, 48864, 99397, 30512, 109832, 13153, 54926, 100909, 121453, 102800, 121606, 30512, 109832, 30369, 120266, 5486, 109526, 232, 109526, 229, 54926, 100909, 103470, 124563, 31431, 105104, 31431, 32149, 17129, 124059, 120650, 91875, 54926, 100909, 107294, 105722, 31431, 79721, 9174, 105466, 18630, 37209, 122393, 198, 1049, 21, 8107, 10447, 234, 123, 106554, 108363, 101682, 108363, 220, 103932, 17905, 48864, 103991, 108363, 101682, 108363, 198, 102667, 113146, 16144, 106592, 114284, 36785, 17663, 110018, 5486, 108064, 108031, 26854, 36785, 106824, 103801, 61689, 1811, 26854, 20230, 15024, 85791, 5486, 19000, 48864, 16325, 5486, 107188, 31431, 53508, 231, 104195, 30512, 21105, 103, 102518, 55031, 38641, 9174, 53508, 231, 104195, 30512, 21105, 103, 117201, 99849, 30512, 107113, 32149, 102083, 116285, 5486, 107141, 101275, 30512, 30813, 109416, 76947, 111629, 124020, 120650, 50834, 16995, 43514, 20230, 43514, 100204, 116186, 30297, 22656, 30512, 98499, 104127, 102334, 31431, 5486, 107980, 110898, 117083, 13372, 55723, 103605, 20230, 16995, 43514, 20230, 43514, 100204, 116186, 30297, 124629, 27699, 116, 76947, 120366, 104088, 101732, 31431, 116898, 43514, 20230, 43514, 100204, 116186, 30297, 60868, 105048, 114615, 34048, 102452, 20230, 22957, 32977, 76947, 30297, 36785, 30297, 36785, 56051, 31431, 107113, 31431, 5486, 107113, 105879, 56051, 9174, 31809, 108323, 46729, 198, 2550, 21, 8107, 107820, 98, 101701, 108363, 101682, 108363, 198, 122571, 4468, 22, 12, 3753, 16, 116358, 56965, 5486, 22649, 48864, 34048, 112027, 48864, 70626, 10110, 104398, 112506, 112027, 48864, 114341, 103605, 7705, 16556, 48864, 102802, 5486, 23951, 101559, 111681, 39607, 23951, 35287, 74482, 5486, 101778, 49409, 102667, 16144, 22649, 48864, 34048, 121987, 111681, 39607, 23951, 35287, 30512, 106613, 38144, 5486, 40265, 125344, 114407, 102138, 53610, 106518, 66870, 105466, 102138, 110022, 40862, 121224, 127253, 114407, 101275, 112027, 103087, 39084, 121224, 16556, 89154, 22398, 45923, 29220, 103306, 114407, 101275, 102473, 102321, 75267, 30512, 110968, 31431, 105564, 50834, 79721, 10110, 51330, 56965, 5486, 126326, 5486, 20834, 106518, 5486, 101662, 116581, 30512, 114196, 101275, 123505, 36668, 105350, 102473, 102351, 198, 33334, 108104, 27384, 112027, 102052, 5486, 19268, 17701, 106081, 5486, 120972, 17701, 106081, 5486, 25580, 23538, 9080, 39607, 5486, 74482, 23538, 9080, 39607, 5486, 18, 8107, 33671, 104817, 17701, 104309, 108048, 108422, 33121, 127742, 16144, 101182, 17701, 48864, 106081, 111186, 117824, 76947, 61689, 9174, 52118, 17701, 106081, 108134, 102416, 198, 33334, 108104, 27384, 112027, 77181, 36896, 90962, 107610, 16073, 107391, 115695, 22398, 10646, 36896, 122678, 56235, 103350, 111186, 32938, 113245, 104149, 105677, 64121, 16144, 117734, 21990, 103350, 108710, 10646, 36896, 118192, 108270, 101198, 96452, 64178, 10646, 104309, 5486, 117734, 21990, 107898, 108104, 27384, 112027, 30512, 96356, 60358, 20230, 112391, 111243, 33503, 30297, 25197, 102832, 52414, 30512, 98897, 55723, 127145, 1811, 21043, 66776, 5486, 48154, 110284, 16995, 90620, 50834, 108948, 108104, 27384, 112027, 30512, 96356, 60358, 20230, 112391, 38144, 72315, 9174, 52118, 90962, 107610, 16073, 107391, 115695, 22398, 52118, 104149, 105677, 64121, 16144, 117734, 21990, 103350, 108710, 52118, 118192, 108270, 101198, 96452, 64178, 198, 50834, 62004, 104398, 121867, 104378, 9458, 102473, 9458, 106718, 104654, 60868, 121057, 16556, 5486, 17701, 48864, 55031, 124305, 101275, 103296, 16144, 19, 8107, 56965, 30512, 19361, 37689, 104577, 26854, 102944, 20230, 15024, 5486, 33671, 16144, 107391, 104612, 102416, 103721, 233, 105557, 33541, 9174, 52118, 60868, 121057, 33014, 44416, 198, 33334, 108104, 27384, 112027, 77181, 36896, 16995, 50834, 102944, 10646, 123863, 15777, 380, 16556, 20989, 380, 30512, 113598, 13153, 54926, 103846, 5486, 127742, 16144, 101182, 114341, 104577, 9458, 103350, 108710, 107391, 37823, 123283, 32131, 91062, 125523, 114341, 127145, 1811, 66378, 20230, 103350, 108710, 102052, 121801, 30512, 22324, 16995, 100481, 38144, 5486, 122678, 56235, 103350, 108710, 19, 70626, 30832, 123213, 101467, 103350, 108710, 1032, 70626, 118146, 87447, 114341, 127145, 9174, 52118, 114341, 104577, 9458, 103350, 108710, 198, 19000, 106718, 55031, 5486, 118075, 33334, 108104, 27384, 112027, 114475, 111186, 56051, 114667, 5486, 119560, 103350, 104983, 109156, 76947, 64121, 38144, 112391, 28713, 100909, 5486, 126892, 28190, 101828, 102518, 114341, 104577, 9458, 103350, 108710, 5486, 49412, 96, 45163, 37507, 111363, 110526, 109853, 113164, 102663, 84477, 126130, 22957, 100604, 79721, 9174, 52118, 19000, 101467, 21990, 16144, 71174, 198, 33334, 108104, 27384, 112027, 77181, 5486, 48864, 34048, 21990, 9458, 102667, 94923, 113245, 125559, 104650, 48864, 30512, 84851, 28194, 101, 127145, 107644, 101467, 21990, 15682, 5486, 111828, 30358, 26854, 106613, 111186, 19732, 102158, 48864, 48634, 19732, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 16144, 70141, 17905, 30512, 30832, 64467, 15024, 5486, 125559, 104650, 48864, 117158, 126929, 33541, 9174, 52118, 125559, 104650, 48864, 198, 18, 8107, 21990, 16144, 22, 9953, 20230, 5486, 102208, 102473, 102452, 20230, 125151, 15024, 5486, 124305, 101275, 102473, 125001, 57980, 16995, 57980, 27704, 109709, 33541, 1811, 102473, 112919, 16, 17792, 103306, 5486, 32131, 103672, 39850, 127058, 16144, 60868, 121057, 114475, 76622, 106272, 103350, 111186, 113702, 30512, 108882, 64121, 30358, 101832, 33541, 1811, 679, 23, 110895, 55031, 48864, 34048, 19732, 102667, 94923, 30512, 102971, 104369, 13177, 48864, 101559, 9458, 23951, 101559, 15120, 80631, 104, 104378, 20251, 118359, 10646, 114305, 29295, 106839, 17701, 116216, 61689, 9174, 52118, 102473, 102452, 55487, 103204, 5486, 124305, 101275, 102473, 198, 102473, 13153, 28873, 15682, 5486, 120284, 106901, 109793, 33710, 113245, 105242, 17161, 35417, 21405, 71289, 124052, 113245, 40526, 103892, 9458, 89154, 115332, 125053, 54926, 118733, 5486, 33671, 16144, 102473, 16144, 75146, 114457, 71289, 57207, 106240, 121711, 33541, 1811, 48864, 48915, 16144, 102473, 30046, 110792, 113841, 16144, 75267, 103306, 32977, 124052, 110284, 15682, 111828, 30358, 26854, 106613, 111186, 16556, 5486, 108882, 110993, 9554, 107898, 22957, 26854, 76947, 61689, 9174, 52118, 106718, 29295, 103983, 102700, 112919, 105242, 17161, 198, 52118, 101682, 108363, 198, 48864, 34048, 124305, 16556, 81258, 107430, 5486, 102667, 94923, 23951, 101559, 16556, 81258, 107430, 5486, 102667, 94923, 121987, 103296, 103130, 104127, 81258, 107430, 123405, 112568, 15682, 67645, 103171, 107391, 104612, 30512, 30832, 64467, 78434, 32149, 95532, 52118, 81258, 107430, 9458, 103130, 48864, 198, 33334, 108104, 27384, 112027, 16144, 61826, 101477, 102, 24273, 15682, 5486, 103188, 100845, 115, 26854, 81258, 107430, 112415, 30512, 104284, 43514, 113487, 50834, 5486, 105994, 114420, 113871, 121254, 126469, 106222, 16556, 76706, 109526, 235, 127145, 1811, 118075, 33334, 108104, 27384, 112027, 16556, 57980, 102518, 100909, 5486, 119560, 112599, 16144, 117876, 16144, 101523, 227, 48634, 5486, 126892, 45163, 37507, 16144, 113871, 220, 104309, 113164, 102663, 84477, 126130, 22957, 100604, 79721, 9174, 52118, 124305, 101275, 21990, 16144, 71174, 198, 33334, 108104, 27384, 112027, 102052, 5486, 17, 13372, 112197, 108104, 27384, 112027, 12501, 16144, 100927, 102351, 29295, 61689, 1811, 96356, 60358, 26854, 42634, 64178, 123604, 103306, 5486, 102473, 20230, 104378, 20230, 80988, 239, 105714, 30369, 105408, 24273, 15682, 5486, 19000, 101467, 21990, 112197, 46034, 22656, 101983, 103836, 117840, 1811, 128001, 128000, 90115, 5486, 13372, 119906, 16144, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 16144, 35330, 45829, 103043, 226, 38641, 9174, 111299, 106968, 15682, 118937, 32149, 102518, 119627, 5486, 110589, 15682, 15120, 108436, 39926, 117759, 16144, 114941, 31431, 119627, 111476, 122571, 102185, 110918, 111571, 29295, 102717, 127842, 100845, 115, 47884, 38144, 111476, 111299, 106968, 16144, 17, 9080, 56965, 16556, 5486, 102717, 109416, 74396, 103906, 116219, 124905, 16995, 125174, 79721, 42038, 62, 10, 340, 112832, 32149, 103129, 107441, 120700, 21909, 198, 103129, 107441, 120700, 119902, 118647, 198, 31195, 198, 103129, 76622, 30512, 105324, 102189, 29295, 5486, 112832, 32977, 37507, 104435, 31195, 9174, 30813, 42891, 6447, 37271, 111299, 32977, 80988, 239, 105714, 107462, 105898, 16995, 106046, 61689, 32351, 198, 18, 9953, 32977, 124042, 111299, 38641, 9174, 19, 9953, 121254, 107441, 104662, 62004, 123207, 16995, 124324, 105908, 111476, 35417, 86127, 107173, 126250, 25827, 22957, 109466, 31431, 38641, 7, 29, 42843, 340, 30813, 38144, 5486, 110589, 15682, 19, 9953, 20230, 17792, 30926, 108901, 91875, 102677, 24273, 32977, 127181, 119150, 105879, 111476, 17792, 30926, 108901, 91875, 109853, 115408, 91774, 30512, 43032, 103854, 106956, 106046, 61689, 9174, 86127, 124911, 30926, 108901, 91875, 16144, 106613, 111186, 198, 122571, 108901, 91875, 106613, 111186, 29295, 18259, 237, 106624, 38144, 5486, 25580, 107430, 113245, 72516, 124750, 56965, 108901, 91875, 19732, 111476, 107734, 107430, 29295, 106966, 72516, 101544, 52118, 72516, 101544, 52118, 18282, 19732, 115442, 100472, 106613, 111186, 116771, 38641, 9174, 67016, 32977, 5486, 108436, 104157, 56051, 105908, 127637, 126758, 19732, 105898, 9174, 42016, 23538, 16144, 112073, 15682, 5486, 103178, 55139, 71289, 33503, 22023, 104087, 71289, 33503, 111344, 71289, 33503, 101778, 49409, 71289, 33503, 19732, 198, 111717, 23039, 107928, 30512, 103792, 110115, 31195, 9174, 102131, 5486, 59739, 109709, 51330, 87177, 15682, 127880, 106613, 111186, 127303, 109709, 102158, 110615, 31195, 9174, 122270, 5486, 16937, 91763, 104760, 26854, 120266, 72516, 124750, 56965, 108901, 91875, 16144, 125344, 106613, 111186, 9458, 64209, 103496, 102677, 112973, 111476, 37087, 47884, 114284, 20834, 72342, 100604, 116233, 9174, 115389, 104680, 103351, 104865, 5486, 89154, 76428, 103906, 52884, 103351, 104865, 111476, 37087, 47884, 114284, 20834, 72342, 107515, 9174, 102677, 118733, 111476, 37271, 18904, 15682, 127880, 33014, 111186, 111813, 126194, 111476, 28190, 111813, 16556, 33334, 38093, 16995, 54926, 32018, 107430, 112919, 24273, 16144, 64209, 103496, 30512, 102832, 61398, 20230, 198, 113727, 100481, 105898, 16995, 106046, 61689, 9174, 17792, 30926, 108901, 91875, 19732, 108436, 107430, 16144, 116690, 34171, 198, 17792, 30926, 108901, 91875, 102083, 114598, 5486, 34048, 32943, 127284, 19732, 34048, 113112, 108901, 91875, 19732, 57903, 33541, 9174, 34048, 32943, 127284, 15682, 5486, 117876, 44915, 29295, 119448, 47884, 124500, 30369, 117735, 111769, 126465, 29295, 127181, 105879, 111476, 77693, 30512, 50834, 42891, 126929, 20230, 108436, 107430, 30512, 111800, 118219, 107001, 24273, 15682, 37656, 74245, 83747, 100604, 38641, 9174, 101182, 19732, 126693, 5486, 17905, 101544, 110792, 50021, 34171, 29295, 40862, 78183, 100604, 126465, 25129, 38641, 9174, 43511, 24273, 5486, 34048, 113112, 108901, 91875, 109853, 15682, 111476, 117876, 44915, 29295, 124500, 30369, 126465, 29295, 43240, 47884, 111476, 105994, 29295, 58426, 117876, 16556, 107391, 104612, 30512, 108882, 64121, 30358, 101832, 100481, 108895, 106046, 103836, 24273, 15682, 111476, 34048, 113112, 108901, 91875, 29295, 50834, 42891, 126929, 16556, 108436, 107430, 30512, 111800, 118219, 107001, 24273, 29295, 127181, 38641, 9174, 51330, 107803, 16144, 111800, 118219, 17663, 125231, 109335, 111476, 105994, 29295, 108695, 112454, 103204, 25287, 32149, 5486, 117876, 112454, 103204, 25287, 16144, 67645, 112384, 20230, 40265, 38144, 15682, 115464, 32149, 102677, 100909, 38641, 9174, 108695, 112454, 103204, 25287, 102677, 104468, 5486, 88435, 121640, 117119, 123410, 32149, 102677, 126036, 111476, 58426, 108695, 20230, 112454, 103204, 37689, 109375, 114792, 103836, 24273, 30512, 64467, 78434, 9174, 50928, 46034, 115820, 46034, 15682, 30591, 114598, 117876, 44915, 20230, 22957, 36785, 78183, 110104, 24273, 29295, 127181, 38641, 9174, 43511, 24273, 5486, 117876, 112454, 103204, 25287, 15682, 111476, 117876, 5486, 107430, 104091, 20230, 112454, 103204, 54926, 105879, 5486, 34048, 113112, 108901, 91875, 29295, 50834, 42891, 126929, 16556, 111476, 108436, 107430, 20230, 91875, 32149, 104028, 24273, 15682, 127181, 38641, 9174, 122571, 102159, 105390, 20230, 67645, 112384, 29295, 104712, 102677, 117735, 111769, 16144, 119627, 111476, 110698, 42506, 30512, 109415, 30369, 102677, 99750, 112854, 16556, 16995, 76622, 81219, 5486, 107734, 107430, 30512, 109415, 100481, 47884, 111476, 59739, 109709, 108695, 16556, 17905, 20230, 29741, 107462, 107188, 118145, 16995, 124324, 105879, 111476, 58426, 103984, 28542, 16556, 78698, 105262, 125231, 106592, 108031, 114715, 113727, 33541, 9174, 117876, 112454, 103204, 25287, 120332, 29295, 78698, 105262, 125231, 103984, 28542, 198, 117876, 44915, 30512, 104622, 61826, 39926, 113727, 100934, 102677, 28542, 16556, 78244, 116285, 111476, 88435, 121640, 5486, 118347, 105988, 124766, 103306, 16144, 107391, 104612, 30512, 198, 19967, 107462, 76622, 33541, 9174, 80673, 5486, 17905, 25129, 107430, 30046, 20230, 115442, 107462, 126145, 5486, 34048, 113112, 56965, 113245, 104873, 64531, 32977, 43240, 115737, 31431, 111476, 43511, 34048, 113112, 113954, 71289, 5486, 102831, 18904, 119432, 100472, 106556, 50667, 32977 ]
[ 117876, 30512, 35757, 113764, 20230, 103130, 62004, 100481, 47884, 30297, 58942, 77181, 198, 109215, 101983, 107462, 50834, 33541, 9174, 43511, 34048, 113112, 110792, 104873, 64531, 29295, 17905, 46034, 47884, 23039, 126660, 19732, 5486, 59614, 101860, 109526, 241, 50834, 33541, 9174, 80539, 110371, 104873, 64531, 121960, 15682, 5486, 43511, 34048, 113112, 16144, 106613, 111186, 15682, 76706, 50834, 38144, 50834, 33541, 9174, 120007, 16144, 80195, 75267, 20230, 121697, 30369, 102677, 109335, 114318, 111243, 27384, 102769, 38641, 9174, 117876, 112454, 103204, 25287, 120332, 15682, 117876, 16144, 22398, 62903, 33710, 15682, 45736, 47884, 111243, 111476, 51330, 103984, 28542, 29295, 124490, 76622, 100934, 126465, 29295, 127181, 38641, 9174, 38641, 105879, 5486, 110241, 108436, 107430, 107001, 116446, 32977, 111476, 74482, 104680, 102131, 16995, 100472, 117501, 20230, 96356, 30512, 22324, 47884, 100909, 108176, 105879, 5486, 108436, 107430, 30512, 103721, 108, 31431, 104196, 103792, 103378, 77181, 111476, 17905, 25129, 120650, 124324, 120266, 103856, 104680, 20230, 95221, 109669, 47884, 105908, 109215, 38641, 9174, 108695, 112454, 103204, 25287, 16144, 114754, 78698, 105262, 125231, 17792, 103984, 28542, 198, 108695, 112454, 103204, 25287, 102677, 24273, 29295, 127181, 106046, 61689, 9174, 102433, 16144, 113909, 118565, 111073, 38248, 115, 78205, 16073, 44416, 15682, 5486, 17129, 30813, 20230, 108695, 112454, 103204, 25287, 20230, 68759, 108981, 56051, 114305, 38641, 9174, 80673, 5486, 118288, 37271, 15682, 105721, 96356, 25132, 229, 11883, 29295, 103553, 102, 127258, 39926, 101704, 106624, 111476, 108695, 29295, 106154, 76947, 124089, 113146, 15682, 105721, 116547, 79721, 9174, 51330, 107803, 20230, 5486, 105994, 107407, 13177, 29220, 91482, 66383, 48915, 20230, 54322, 31431, 20834, 103646, 33503, 111476, 99849, 32977, 108608, 117876, 29295, 103470, 36896, 99849, 29295, 108608, 16144, 91006, 19732, 104655, 32149, 103468, 33503, 198, 13177, 111681, 101544, 38641, 66383, 49838, 16995, 87177, 26854, 113925, 30512, 39926, 114732, 100909, 105352, 26854, 31431, 32149, 101832, 107515, 9174, 103350, 104983, 110745, 46034, 16144, 124766, 32131, 117824, 100472, 104983, 20230, 5486, 1272, 31640, 5486, 1135, 31640, 120332, 29295, 14309, 98, 31431, 126172, 16995, 87177, 38641, 9174, 102677, 118733, 5486, 108695, 112454, 103204, 25287, 16144, 116537, 111476, 107118, 16995, 58942, 5486, 115364, 47260, 39880, 22398, 62903, 33710, 15682, 26854, 112649, 102677, 106592, 198, 37689, 109375, 56051, 107391, 104612, 115376, 29295, 109215, 38641, 9174, 112690, 15682, 109161, 16995, 119627, 5486, 19, 3922, 1135, 31640, 16556, 47095, 103892, 20230, 109440, 78183, 115032, 24273, 15682, 111476, 17, 3922, 966, 31640, 16144, 126101, 102131, 16995, 100472, 106592, 37689, 109375, 39926, 37507, 104435, 24273, 29295, 127181, 104371, 47523, 38641, 9174, 58426, 103846, 115847, 30512, 98499, 104127, 16995, 90620, 119188, 105268, 46034, 120332, 15682, 111476, 95543, 28190, 100927, 104599, 77181, 124897, 29295, 115515, 55031, 124500, 107462, 50834, 17129, 109954, 9174, 77181, 5486, 118789, 112535, 104405, 126693, 126521, 105879, 109954, 32149, 95532, 108695, 19732, 55999, 20230, 105994, 32977, 55999, 20230, 13153, 101544, 54926, 37689, 109375, 114792, 59739, 198, 116414, 72661, 110968, 31431, 105564, 16995, 100481, 105784, 22398, 62903, 33710, 30512, 110794, 17129, 109954, 110162, 111476, 37026, 80195, 34171, 29295, 27384, 102769, 19732, 117952, 33121, 33541, 29295, 111476, 117876, 44915, 71289, 108695, 113468, 15682, 108048, 29295, 111108, 102800, 126465, 32977, 127181, 38641, 9174, 58426, 107803, 115408, 29295, 39880, 45923, 66953, 112900, 56051, 16995, 109335, 111476, 108695, 32977, 13153, 101544, 107726, 5486, 105994, 32977, 58426, 107420, 64810, 22398, 16556, 13153, 101544, 109768, 47884, 102677, 198, 55999, 20230, 24185, 101983, 104028, 106592, 40053, 104680, 37689, 109375, 103801, 109954, 102677, 100909, 38641, 9174, 112825, 110904, 20230, 16995, 116285, 111476, 13177, 108695, 16144, 101399, 20230, 71289, 103836, 117876, 66383, 198, 13177, 115364, 101399, 20230, 71289, 103836, 117876, 117503, 55999, 33035, 105904, 30512, 117876, 20230, 109768, 47884, 102677, 100909, 38641, 9174, 80539, 36896, 115364, 101399, 20230, 71289, 103836, 117876, 118587, 31958, 105184, 117657, 103846, 102052, 111476, 105994, 29295, 45163, 37507, 104405, 26854, 31431, 106956, 32149, 30512, 118789, 33208, 109768, 107188, 118145, 16995, 76622, 107515, 9174, 61826, 29295, 91774, 16995, 36785, 122101, 55031, 127105, 5486, 105994, 29295, 26854, 20230, 30512, 17663, 125231, 32149, 31958, 105184, 115717, 33541, 9174, 51330, 37689, 109375, 114792, 107462, 104984, 111476, 116499, 122382, 81219, 5486, 21980, 236, 11883, 109904, 22398, 62903, 33710, 32977, 96356, 20230, 47000, 119188, 116497, 38641, 9174, 17792, 30926, 108901, 91875, 16144, 51609, 15682, 108695, 16144, 39135, 104680, 26854, 115517, 29295, 40862, 78183, 30813, 76947, 13153, 31431, 80195, 76947, 61689, 9174, 90620, 108048, 30512, 107063, 224, 16995, 100481, 111243, 106548, 24273, 100604, 105879, 111476, 126843, 15682, 105994, 29295, 104405, 101182, 32149, 30512, 113727, 17129, 109954, 9174, 60094, 103, 107322, 108044, 60094, 104, 198, 122571, 5486, 13372, 119906, 22656, 61337, 16144, 49, 19, 34, 4577, 643, 102677, 17792, 103234, 126362, 108695, 16556, 198, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 30512, 126020, 33541, 9174, 101778, 56235, 109224, 113245, 108436, 107430, 126130, 113727, 120332, 15682, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 105823, 9174, 10110, 30926, 25580, 120999, 44416, 5232, 50211, 9080, 24, 25, 410, 93, 1313, 25, 410, 107824, 42506, 23954, 13870, 232, 61337, 6748, 55031, 76739, 52414, 102540, 72315, 1811, 128001, 128000, 2, 52561, 103, 29430, 126330, 16144, 27704, 62004, 24273, 198, 108156, 29430, 126330, 15682, 5486, 103087, 106518, 103768, 11883, 112028, 118821, 41007, 103306, 108008, 20230, 126909, 115991, 33541, 1811, 108156, 29430, 126330, 30512, 27704, 109315, 103846, 102052, 16995, 47884, 59739, 116421, 106826, 103830, 115991, 33541, 29295, 5486, 119869, 15682, 19732, 111243, 112825, 110904, 38641, 113637, 77219, 77181, 5486, 108156, 29430, 126330, 30512, 27704, 109315, 113009, 109215, 26854, 106592, 50520, 111, 106624, 122984, 78434, 9174, 567, 110124, 229, 35330, 30512, 80631, 107, 109315, 198, 126843, 5486, 108156, 29430, 126330, 123410, 103846, 102052, 103087, 35330, 29295, 109215, 38641, 1811, 108156, 29430, 126330, 102052, 33334, 35330, 29295, 109215, 26854, 121142, 103470, 5486, 108156, 29430, 117903, 16144, 112997, 29220, 32977, 57903, 33541, 109807, 103846, 5486, 108156, 29430, 126330, 30512, 27704, 109315, 112772, 115364, 112686, 75513, 127749, 30512, 114392, 20230, 113954, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 567, 52561, 103, 29430, 126330, 16144, 117809, 30512, 102647, 104369, 198, 33671, 20230, 5486, 108156, 29430, 126330, 16144, 117809, 30512, 102647, 102802, 33541, 1811, 108156, 29430, 126330, 102052, 16995, 47884, 59739, 116421, 117809, 115991, 108048, 108422, 33121, 20230, 66378, 17599, 112, 115991, 33541, 115397, 87217, 108936, 109904, 108156, 29430, 126330, 16144, 117809, 15682, 5486, 101544, 23538, 126330, 38641, 113637, 117809, 15682, 5486, 45163, 110782, 20230, 108156, 29430, 95001, 112603, 29295, 115442, 104533, 113727, 125398, 114435, 16144, 108156, 29430, 30512, 109198, 17701, 39926, 5486, 101544, 23538, 112535, 60632, 105576, 30512, 109415, 30369, 106592, 113173, 103306, 61689, 9174, 567, 27951, 96, 103605, 87447, 102332, 198, 108156, 29430, 126330, 123410, 103846, 102052, 5486, 108156, 29430, 117903, 20230, 110284, 54926, 124122, 39880, 71493, 65299, 52414, 125523, 102332, 54926, 109215, 115991, 33541, 1811, 108156, 29430, 117903, 20230, 110284, 54926, 124122, 39880, 71493, 65299, 52414, 15682, 5486, 126330, 22023, 29245, 245, 71289, 110322, 106306, 108695, 104309, 16556, 87447, 102332, 54926, 105908, 125545, 1811, 39880, 71493, 65299, 52414, 125523, 102332, 54926, 104983, 102052, 5486, 121568, 108134, 71289, 40526, 103605, 108134, 104309, 29295, 109215, 108176, 103846, 5486, 59614, 101860, 37656, 105184, 26854, 108134, 30512, 17701, 48634, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 567, 124934, 246, 120910, 102647, 23187, 198, 33671, 20230, 5486, 108156, 29430, 126330, 54926, 114435, 30512, 102647, 104369, 109215, 115991, 33541, 1811, 108156, 29430, 126330, 54926, 114435, 16144, 102647, 102802, 24273, 102052, 16995, 47884, 59739, 116421, 120098, 115991, 33541, 29295, 5486, 32335, 32977, 107693, 26854, 104468, 5486, 114435, 16144, 118482, 44915, 71289, 101275, 116486, 5486, 45163, 37507, 34171, 104309, 109853, 114392, 20230, 37823, 60868, 113335, 54926, 100909, 38641, 118855, 5486, 108156, 29430, 117903, 16144, 108134, 71289, 101275, 98220, 91875, 70141, 5486, 106613, 111587, 40474, 110095, 104309, 32977, 107693, 26854, 31634, 72238, 121711, 33541, 105879, 5486, 61633, 102987, 47884, 104873, 112984, 54926, 105908, 27384, 102769, 38641, 9174, 567, 109517, 119, 11883, 104088, 108882, 32977, 30369, 198, 108156, 29430, 126330, 123410, 103846, 102052, 5486, 108156, 29430, 16144, 105525, 107691, 46034, 9039, 42506, 71289, 85188, 35330, 123160, 106382, 11883, 32977, 32149, 107277, 33541, 105879, 5486, 103911, 62004, 85701, 120577, 106382, 11883, 30512, 122282, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 118855, 5486, 108156, 29430, 126330, 102052, 112997, 29220, 29295, 112183, 61689, 105879, 5486, 115364, 112686, 75513, 127749, 71289, 112997, 29220, 110008, 37729, 27479, 104309, 20230, 40862, 100472, 126330, 117824, 30297, 105908, 27384, 102769, 38641, 9174, 567, 111925, 23538, 109904, 103984, 28542, 16556, 78698, 105262, 198, 108156, 29430, 126330, 15682, 101544, 23538, 109904, 114181, 28542, 55031, 23039, 30297, 105908, 27384, 102769, 38641, 1811, 108156, 29430, 117903, 15682, 106649, 23538, 109904, 91875, 50834, 115991, 33541, 29295, 5486, 101544, 23538, 112535, 91774, 104533, 104622, 103424, 26854, 114435, 16144, 108156, 29430, 15682, 95001, 112603, 29295, 115442, 30369, 101427, 122, 70141, 20230, 57903, 33541, 109807, 103846, 5486, 108156, 29430, 126330, 15682, 101544, 23538, 109904, 114181, 28542, 55031, 23039, 30297, 105908, 27384, 102769, 38641, 9174, 567, 107964, 231, 104195, 30512, 106307, 105784, 198, 53900, 5486, 108156, 29430, 126330, 123863, 53283, 109375, 30512, 108882, 110993, 112535, 70141, 17905, 124545, 115789, 27384, 102769, 38641, 1811, 108156, 29430, 126330, 114556, 89046, 54926, 22656, 71289, 111234, 52884, 116229, 5486, 110191, 102803, 52414, 44971, 118928, 94550, 104309, 30512, 107740, 54926, 118733, 5486, 108156, 29430, 126330, 123863, 53283, 109375, 30512, 70141, 17905, 124545, 105908, 125545, 9174, 567, 117082, 84477, 108526, 37823, 90962, 30512, 40452, 54926, 198, 108156, 29430, 126330, 16144, 121057, 108526, 37823, 90962, 30512, 40452, 54926, 115789, 107693, 38641, 1811, 121057, 108526, 37823, 90962, 30512, 40452, 54926, 118733, 5486, 115364, 126330, 127749, 30512, 102178, 111665, 54926, 105908, 103082, 5486, 108156, 29430, 126330, 16144, 80805, 108526, 108941, 107446, 30512, 107624, 95001, 54926, 105908, 125545, 9174, 71689, 29295, 108156, 29430, 126330, 16144, 27704, 62004, 24273, 114556, 39926, 16144, 112825, 110904, 26854, 122984, 38641, 1811, 108156, 29430, 126330, 15682, 85707, 62004, 15682, 114715, 111108, 102800, 32149, 110241, 33121, 107515, 29295, 5486, 108882, 110993, 112535, 48864, 104369, 118733, 5486, 108156, 29430, 126330, 123863, 53283, 109375, 30512, 70141, 17905, 107726, 5486, 108156, 29430, 126330, 30512, 8239, 114503, 112535, 23039, 30297, 105908, 108608, 101200, 115717, 33541, 1811, 128001, 128000, 11144, 59657, 122, 19732, 118006, 100927, 104599, 106613, 111186, 30046, 11199, 29295, 77693, 108422, 33121, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 30512, 110665, 105651, 78434, 106609, 51330, 122481, 30512, 48154, 111182, 101983, 125398, 30591, 112568, 15682, 115515, 33334, 45829, 115867, 53508, 231, 104195, 28190, 30512, 105321, 110162, 119607, 19732, 33334, 113727, 16556, 36896, 59657, 122, 20230, 119607, 32149, 118006, 100927, 104599, 20230, 119607, 32149, 59712, 59657, 122, 72661, 43167, 108638, 19732, 102159, 103283, 107407, 21105, 103, 59712, 118006, 100927, 104599, 32977, 117032, 16144, 19732, 110191, 118372, 107407, 26854, 66383, 110482, 103836, 24273, 36785, 106046, 61689, 9174, 103350, 104983, 20230, 125338, 64121, 100604, 55031, 102052, 78183, 107277, 107515, 29295, 108948, 35330, 32977, 32149, 117295, 15024, 71289, 112043, 31431, 109134, 112772, 51330, 115195, 16144, 121953, 15682, 21105, 96, 107277, 53283, 76947, 33334, 105898, 16995, 110229, 38641, 123794, 9174, 110924, 16556, 5486, 102321, 107734, 59657, 122, 114341, 104599, 19732, 118006, 100927, 104599, 72661, 101182, 86127, 30297, 30813, 105557, 105408, 29295, 36896, 59657, 122, 19732, 118006, 100927, 104599, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 10646, 109853, 50520, 111, 106624, 48154, 122984, 107726, 100481, 90620, 50834, 33541, 9174, 59657, 122, 19732, 118006, 100927, 104599, 102052, 67645, 103171, 121953, 115991, 5486, 67645, 103171, 45829, 20230, 40862, 103836, 104865, 5486, 37087, 38144, 100927, 58942, 33541, 106609, 567, 220, 16, 13, 121503, 103283, 59657, 122, 16144, 39850, 37823, 67075, 198, 102159, 103283, 59657, 122, 16144, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 121503, 104680, 20230, 114146, 28713, 64467, 106839, 30512, 39926, 124089, 9174, 119560, 116201, 232, 105714, 99750, 115991, 53508, 231, 104195, 20230, 120766, 108608, 198, 126892, 220, 21105, 96, 107277, 56051, 101682, 111186, 50021, 111813, 29295, 108608, 198, 49412, 96, 113545, 71634, 112772, 111983, 108710, 29295, 101682, 76622, 110071, 198, 14711, 220, 118075, 121503, 104680, 20230, 114146, 28713, 64467, 106839, 30512, 39926, 124089, 198, 102159, 103283, 59657, 122, 15682, 112160, 17792, 122485, 20230, 114146, 28713, 64467, 106839, 30512, 39926, 124089, 123017, 39850, 37823, 67075, 112028, 59739, 38641, 9174, 104721, 26854, 87177, 5486, 104575, 16144, 107141, 101275, 27929, 120240, 16144, 76622, 16556, 102472, 125057, 16073, 61826, 61826, 103130, 104004, 32977, 57980, 15024, 9174, 116900, 105352, 104043, 123628, 119318, 116310, 20230, 114941, 76947, 109134, 32977, 57980, 15024, 9174, 90620, 5486, 104575, 16144, 57933, 71634, 16144, 28542, 9039, 30512, 109415, 30369, 105908, 30832, 109904, 105879, 111476, 27384, 33014, 16144, 59657, 122, 29295, 13177, 37271, 104575, 16556, 71289, 113017, 119318, 116310, 121409, 10646, 16556, 100927, 107290, 124089, 110229, 29295, 127181, 38641, 9174, 61826, 61826, 103130, 64121, 120195, 38144, 37271, 71289, 113017, 44915, 30512, 112727, 106824, 114604, 33503, 22656, 106968, 108436, 105987, 38641, 21105, 255, 9174, 14711, 220, 119560, 116201, 232, 105714, 99750, 115991, 53508, 231, 104195, 20230, 120766 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 117876, 30512, 35757, 113764, 20230, 103130, 62004, 100481, 47884, 30297, 58942, 77181, 198, 109215, 101983, 107462, 50834, 33541, 9174, 43511, 34048, 113112, 110792, 104873, 64531, 29295, 17905, 46034, 47884, 23039, 126660, 19732, 5486, 59614, 101860, 109526, 241, 50834, 33541, 9174, 80539, 110371, 104873, 64531, 121960, 15682, 5486, 43511, 34048, 113112, 16144, 106613, 111186, 15682, 76706, 50834, 38144, 50834, 33541, 9174, 120007, 16144, 80195, 75267, 20230, 121697, 30369, 102677, 109335, 114318, 111243, 27384, 102769, 38641, 9174, 117876, 112454, 103204, 25287, 120332, 15682, 117876, 16144, 22398, 62903, 33710, 15682, 45736, 47884, 111243, 111476, 51330, 103984, 28542, 29295, 124490, 76622, 100934, 126465, 29295, 127181, 38641, 9174, 38641, 105879, 5486, 110241, 108436, 107430, 107001, 116446, 32977, 111476, 74482, 104680, 102131, 16995, 100472, 117501, 20230, 96356, 30512, 22324, 47884, 100909, 108176, 105879, 5486, 108436, 107430, 30512, 103721, 108, 31431, 104196, 103792, 103378, 77181, 111476, 17905, 25129, 120650, 124324, 120266, 103856, 104680, 20230, 95221, 109669, 47884, 105908, 109215, 38641, 9174, 108695, 112454, 103204, 25287, 16144, 114754, 78698, 105262, 125231, 17792, 103984, 28542, 198, 108695, 112454, 103204, 25287, 102677, 24273, 29295, 127181, 106046, 61689, 9174, 102433, 16144, 113909, 118565, 111073, 38248, 115, 78205, 16073, 44416, 15682, 5486, 17129, 30813, 20230, 108695, 112454, 103204, 25287, 20230, 68759, 108981, 56051, 114305, 38641, 9174, 80673, 5486, 118288, 37271, 15682, 105721, 96356, 25132, 229, 11883, 29295, 103553, 102, 127258, 39926, 101704, 106624, 111476, 108695, 29295, 106154, 76947, 124089, 113146, 15682, 105721, 116547, 79721, 9174, 51330, 107803, 20230, 5486, 105994, 107407, 13177, 29220, 91482, 66383, 48915, 20230, 54322, 31431, 20834, 103646, 33503, 111476, 99849, 32977, 108608, 117876, 29295, 103470, 36896, 99849, 29295, 108608, 16144, 91006, 19732, 104655, 32149, 103468, 33503, 198, 13177, 111681, 101544, 38641, 66383, 49838, 16995, 87177, 26854, 113925, 30512, 39926, 114732, 100909, 105352, 26854, 31431, 32149, 101832, 107515, 9174, 103350, 104983, 110745, 46034, 16144, 124766, 32131, 117824, 100472, 104983, 20230, 5486, 1272, 31640, 5486, 1135, 31640, 120332, 29295, 14309, 98, 31431, 126172, 16995, 87177, 38641, 9174, 102677, 118733, 5486, 108695, 112454, 103204, 25287, 16144, 116537, 111476, 107118, 16995, 58942, 5486, 115364, 47260, 39880, 22398, 62903, 33710, 15682, 26854, 112649, 102677, 106592, 198, 37689, 109375, 56051, 107391, 104612, 115376, 29295, 109215, 38641, 9174, 112690, 15682, 109161, 16995, 119627, 5486, 19, 3922, 1135, 31640, 16556, 47095, 103892, 20230, 109440, 78183, 115032, 24273, 15682, 111476, 17, 3922, 966, 31640, 16144, 126101, 102131, 16995, 100472, 106592, 37689, 109375, 39926, 37507, 104435, 24273, 29295, 127181, 104371, 47523, 38641, 9174, 58426, 103846, 115847, 30512, 98499, 104127, 16995, 90620, 119188, 105268, 46034, 120332, 15682, 111476, 95543, 28190, 100927, 104599, 77181, 124897, 29295, 115515, 55031, 124500, 107462, 50834, 17129, 109954, 9174, 77181, 5486, 118789, 112535, 104405, 126693, 126521, 105879, 109954, 32149, 95532, 108695, 19732, 55999, 20230, 105994, 32977, 55999, 20230, 13153, 101544, 54926, 37689, 109375, 114792, 59739, 198, 116414, 72661, 110968, 31431, 105564, 16995, 100481, 105784, 22398, 62903, 33710, 30512, 110794, 17129, 109954, 110162, 111476, 37026, 80195, 34171, 29295, 27384, 102769, 19732, 117952, 33121, 33541, 29295, 111476, 117876, 44915, 71289, 108695, 113468, 15682, 108048, 29295, 111108, 102800, 126465, 32977, 127181, 38641, 9174, 58426, 107803, 115408, 29295, 39880, 45923, 66953, 112900, 56051, 16995, 109335, 111476, 108695, 32977, 13153, 101544, 107726, 5486, 105994, 32977, 58426, 107420, 64810, 22398, 16556, 13153, 101544, 109768, 47884, 102677, 198, 55999, 20230, 24185, 101983, 104028, 106592, 40053, 104680, 37689, 109375, 103801, 109954, 102677, 100909, 38641, 9174, 112825, 110904, 20230, 16995, 116285, 111476, 13177, 108695, 16144, 101399, 20230, 71289, 103836, 117876, 66383, 198, 13177, 115364, 101399, 20230, 71289, 103836, 117876, 117503, 55999, 33035, 105904, 30512, 117876, 20230, 109768, 47884, 102677, 100909, 38641, 9174, 80539, 36896, 115364, 101399, 20230, 71289, 103836, 117876, 118587, 31958, 105184, 117657, 103846, 102052, 111476, 105994, 29295, 45163, 37507, 104405, 26854, 31431, 106956, 32149, 30512, 118789, 33208, 109768, 107188, 118145, 16995, 76622, 107515, 9174, 61826, 29295, 91774, 16995, 36785, 122101, 55031, 127105, 5486, 105994, 29295, 26854, 20230, 30512, 17663, 125231, 32149, 31958, 105184, 115717, 33541, 9174, 51330, 37689, 109375, 114792, 107462, 104984, 111476, 116499, 122382, 81219, 5486, 21980, 236, 11883, 109904, 22398, 62903, 33710, 32977, 96356, 20230, 47000, 119188, 116497, 38641, 9174, 17792, 30926, 108901, 91875, 16144, 51609, 15682, 108695, 16144, 39135, 104680, 26854, 115517, 29295, 40862, 78183, 30813, 76947, 13153, 31431, 80195, 76947, 61689, 9174, 90620, 108048, 30512, 107063, 224, 16995, 100481, 111243, 106548, 24273, 100604, 105879, 111476, 126843, 15682, 105994, 29295, 104405, 101182, 32149, 30512, 113727, 17129, 109954, 9174, 60094, 103, 107322, 108044, 60094, 104, 198, 122571, 5486, 13372, 119906, 22656, 61337, 16144, 49, 19, 34, 4577, 643, 102677, 17792, 103234, 126362, 108695, 16556, 198, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 30512, 126020, 33541, 9174, 101778, 56235, 109224, 113245, 108436, 107430, 126130, 113727, 120332, 15682, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 105823, 9174, 10110, 30926, 25580, 120999, 44416, 5232, 50211, 9080, 24, 25, 410, 93, 1313, 25, 410, 107824, 42506, 23954, 13870, 232, 61337, 6748, 55031, 76739, 52414, 102540, 72315, 1811, 128001, 128000, 2, 52561, 103, 29430, 126330, 16144, 27704, 62004, 24273, 198, 108156, 29430, 126330, 15682, 5486, 103087, 106518, 103768, 11883, 112028, 118821, 41007, 103306, 108008, 20230, 126909, 115991, 33541, 1811, 108156, 29430, 126330, 30512, 27704, 109315, 103846, 102052, 16995, 47884, 59739, 116421, 106826, 103830, 115991, 33541, 29295, 5486, 119869, 15682, 19732, 111243, 112825, 110904, 38641, 113637, 77219, 77181, 5486, 108156, 29430, 126330, 30512, 27704, 109315, 113009, 109215, 26854, 106592, 50520, 111, 106624, 122984, 78434, 9174, 567, 110124, 229, 35330, 30512, 80631, 107, 109315, 198, 126843, 5486, 108156, 29430, 126330, 123410, 103846, 102052, 103087, 35330, 29295, 109215, 38641, 1811, 108156, 29430, 126330, 102052, 33334, 35330, 29295, 109215, 26854, 121142, 103470, 5486, 108156, 29430, 117903, 16144, 112997, 29220, 32977, 57903, 33541, 109807, 103846, 5486, 108156, 29430, 126330, 30512, 27704, 109315, 112772, 115364, 112686, 75513, 127749, 30512, 114392, 20230, 113954, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 567, 52561, 103, 29430, 126330, 16144, 117809, 30512, 102647, 104369, 198, 33671, 20230, 5486, 108156, 29430, 126330, 16144, 117809, 30512, 102647, 102802, 33541, 1811, 108156, 29430, 126330, 102052, 16995, 47884, 59739, 116421, 117809, 115991, 108048, 108422, 33121, 20230, 66378, 17599, 112, 115991, 33541, 115397, 87217, 108936, 109904, 108156, 29430, 126330, 16144, 117809, 15682, 5486, 101544, 23538, 126330, 38641, 113637, 117809, 15682, 5486, 45163, 110782, 20230, 108156, 29430, 95001, 112603, 29295, 115442, 104533, 113727, 125398, 114435, 16144, 108156, 29430, 30512, 109198, 17701, 39926, 5486, 101544, 23538, 112535, 60632, 105576, 30512, 109415, 30369, 106592, 113173, 103306, 61689, 9174, 567, 27951, 96, 103605, 87447, 102332, 198, 108156, 29430, 126330, 123410, 103846, 102052, 5486, 108156, 29430, 117903, 20230, 110284, 54926, 124122, 39880, 71493, 65299, 52414, 125523, 102332, 54926, 109215, 115991, 33541, 1811, 108156, 29430, 117903, 20230, 110284, 54926, 124122, 39880, 71493, 65299, 52414, 15682, 5486, 126330, 22023, 29245, 245, 71289, 110322, 106306, 108695, 104309, 16556, 87447, 102332, 54926, 105908, 125545, 1811, 39880, 71493, 65299, 52414, 125523, 102332, 54926, 104983, 102052, 5486, 121568, 108134, 71289, 40526, 103605, 108134, 104309, 29295, 109215, 108176, 103846, 5486, 59614, 101860, 37656, 105184, 26854, 108134, 30512, 17701, 48634, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 567, 124934, 246, 120910, 102647, 23187, 198, 33671, 20230, 5486, 108156, 29430, 126330, 54926, 114435, 30512, 102647, 104369, 109215, 115991, 33541, 1811, 108156, 29430, 126330, 54926, 114435, 16144, 102647, 102802, 24273, 102052, 16995, 47884, 59739, 116421, 120098, 115991, 33541, 29295, 5486, 32335, 32977, 107693, 26854, 104468, 5486, 114435, 16144, 118482, 44915, 71289, 101275, 116486, 5486, 45163, 37507, 34171, 104309, 109853, 114392, 20230, 37823, 60868, 113335, 54926, 100909, 38641, 118855, 5486, 108156, 29430, 117903, 16144, 108134, 71289, 101275, 98220, 91875, 70141, 5486, 106613, 111587, 40474, 110095, 104309, 32977, 107693, 26854, 31634, 72238, 121711, 33541, 105879, 5486, 61633, 102987, 47884, 104873, 112984, 54926, 105908, 27384, 102769, 38641, 9174, 567, 109517, 119, 11883, 104088, 108882, 32977, 30369, 198, 108156, 29430, 126330, 123410, 103846, 102052, 5486, 108156, 29430, 16144, 105525, 107691, 46034, 9039, 42506, 71289, 85188, 35330, 123160, 106382, 11883, 32977, 32149, 107277, 33541, 105879, 5486, 103911, 62004, 85701, 120577, 106382, 11883, 30512, 122282, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 118855, 5486, 108156, 29430, 126330, 102052, 112997, 29220, 29295, 112183, 61689, 105879, 5486, 115364, 112686, 75513, 127749, 71289, 112997, 29220, 110008, 37729, 27479, 104309, 20230, 40862, 100472, 126330, 117824, 30297, 105908, 27384, 102769, 38641, 9174, 567, 111925, 23538, 109904, 103984, 28542, 16556, 78698, 105262, 198, 108156, 29430, 126330, 15682, 101544, 23538, 109904, 114181, 28542, 55031, 23039, 30297, 105908, 27384, 102769, 38641, 1811, 108156, 29430, 117903, 15682, 106649, 23538, 109904, 91875, 50834, 115991, 33541, 29295, 5486, 101544, 23538, 112535, 91774, 104533, 104622, 103424, 26854, 114435, 16144, 108156, 29430, 15682, 95001, 112603, 29295, 115442, 30369, 101427, 122, 70141, 20230, 57903, 33541, 109807, 103846, 5486, 108156, 29430, 126330, 15682, 101544, 23538, 109904, 114181, 28542, 55031, 23039, 30297, 105908, 27384, 102769, 38641, 9174, 567, 107964, 231, 104195, 30512, 106307, 105784, 198, 53900, 5486, 108156, 29430, 126330, 123863, 53283, 109375, 30512, 108882, 110993, 112535, 70141, 17905, 124545, 115789, 27384, 102769, 38641, 1811, 108156, 29430, 126330, 114556, 89046, 54926, 22656, 71289, 111234, 52884, 116229, 5486, 110191, 102803, 52414, 44971, 118928, 94550, 104309, 30512, 107740, 54926, 118733, 5486, 108156, 29430, 126330, 123863, 53283, 109375, 30512, 70141, 17905, 124545, 105908, 125545, 9174, 567, 117082, 84477, 108526, 37823, 90962, 30512, 40452, 54926, 198, 108156, 29430, 126330, 16144, 121057, 108526, 37823, 90962, 30512, 40452, 54926, 115789, 107693, 38641, 1811, 121057, 108526, 37823, 90962, 30512, 40452, 54926, 118733, 5486, 115364, 126330, 127749, 30512, 102178, 111665, 54926, 105908, 103082, 5486, 108156, 29430, 126330, 16144, 80805, 108526, 108941, 107446, 30512, 107624, 95001, 54926, 105908, 125545, 9174, 71689, 29295, 108156, 29430, 126330, 16144, 27704, 62004, 24273, 114556, 39926, 16144, 112825, 110904, 26854, 122984, 38641, 1811, 108156, 29430, 126330, 15682, 85707, 62004, 15682, 114715, 111108, 102800, 32149, 110241, 33121, 107515, 29295, 5486, 108882, 110993, 112535, 48864, 104369, 118733, 5486, 108156, 29430, 126330, 123863, 53283, 109375, 30512, 70141, 17905, 107726, 5486, 108156, 29430, 126330, 30512, 8239, 114503, 112535, 23039, 30297, 105908, 108608, 101200, 115717, 33541, 1811, 128001, 128000, 11144, 59657, 122, 19732, 118006, 100927, 104599, 106613, 111186, 30046, 11199, 29295, 77693, 108422, 33121, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 30512, 110665, 105651, 78434, 106609, 51330, 122481, 30512, 48154, 111182, 101983, 125398, 30591, 112568, 15682, 115515, 33334, 45829, 115867, 53508, 231, 104195, 28190, 30512, 105321, 110162, 119607, 19732, 33334, 113727, 16556, 36896, 59657, 122, 20230, 119607, 32149, 118006, 100927, 104599, 20230, 119607, 32149, 59712, 59657, 122, 72661, 43167, 108638, 19732, 102159, 103283, 107407, 21105, 103, 59712, 118006, 100927, 104599, 32977, 117032, 16144, 19732, 110191, 118372, 107407, 26854, 66383, 110482, 103836, 24273, 36785, 106046, 61689, 9174, 103350, 104983, 20230, 125338, 64121, 100604, 55031, 102052, 78183, 107277, 107515, 29295, 108948, 35330, 32977, 32149, 117295, 15024, 71289, 112043, 31431, 109134, 112772, 51330, 115195, 16144, 121953, 15682, 21105, 96, 107277, 53283, 76947, 33334, 105898, 16995, 110229, 38641, 123794, 9174, 110924, 16556, 5486, 102321, 107734, 59657, 122, 114341, 104599, 19732, 118006, 100927, 104599, 72661, 101182, 86127, 30297, 30813, 105557, 105408, 29295, 36896, 59657, 122, 19732, 118006, 100927, 104599, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 10646, 109853, 50520, 111, 106624, 48154, 122984, 107726, 100481, 90620, 50834, 33541, 9174, 59657, 122, 19732, 118006, 100927, 104599, 102052, 67645, 103171, 121953, 115991, 5486, 67645, 103171, 45829, 20230, 40862, 103836, 104865, 5486, 37087, 38144, 100927, 58942, 33541, 106609, 567, 220, 16, 13, 121503, 103283, 59657, 122, 16144, 39850, 37823, 67075, 198, 102159, 103283, 59657, 122, 16144, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 121503, 104680, 20230, 114146, 28713, 64467, 106839, 30512, 39926, 124089, 9174, 119560, 116201, 232, 105714, 99750, 115991, 53508, 231, 104195, 20230, 120766, 108608, 198, 126892, 220, 21105, 96, 107277, 56051, 101682, 111186, 50021, 111813, 29295, 108608, 198, 49412, 96, 113545, 71634, 112772, 111983, 108710, 29295, 101682, 76622, 110071, 198, 14711, 220, 118075, 121503, 104680, 20230, 114146, 28713, 64467, 106839, 30512, 39926, 124089, 198, 102159, 103283, 59657, 122, 15682, 112160, 17792, 122485, 20230, 114146, 28713, 64467, 106839, 30512, 39926, 124089, 123017, 39850, 37823, 67075, 112028, 59739, 38641, 9174, 104721, 26854, 87177, 5486, 104575, 16144, 107141, 101275, 27929, 120240, 16144, 76622, 16556, 102472, 125057, 16073, 61826, 61826, 103130, 104004, 32977, 57980, 15024, 9174, 116900, 105352, 104043, 123628, 119318, 116310, 20230, 114941, 76947, 109134, 32977, 57980, 15024, 9174, 90620, 5486, 104575, 16144, 57933, 71634, 16144, 28542, 9039, 30512, 109415, 30369, 105908, 30832, 109904, 105879, 111476, 27384, 33014, 16144, 59657, 122, 29295, 13177, 37271, 104575, 16556, 71289, 113017, 119318, 116310, 121409, 10646, 16556, 100927, 107290, 124089, 110229, 29295, 127181, 38641, 9174, 61826, 61826, 103130, 64121, 120195, 38144, 37271, 71289, 113017, 44915, 30512, 112727, 106824, 114604, 33503, 22656, 106968, 108436, 105987, 38641, 21105, 255, 9174, 14711, 220, 119560, 116201, 232, 105714, 99750, 115991, 53508, 231, 104195, 20230, 120766 ]
[ 108608, 198, 46729, 16556, 53508, 231, 104195, 54926, 126036, 5486, 105268, 104055, 13177, 70563, 37823, 26269, 66383, 56051, 35894, 95221, 120332, 29295, 120766, 108608, 121240, 126513, 102159, 103283, 59657, 122, 70141, 50834, 125651, 9174, 90620, 121270, 102052, 89151, 28190, 30832, 20230, 71289, 31431, 106956, 110115, 41642, 111331, 33334, 116826, 103854, 31431, 26854, 121240, 71174, 29295, 119448, 47884, 38144, 120766, 103082, 123733, 76947, 1131, 76947, 45829, 32977, 61689, 9174, 26854, 105879, 5486, 110382, 15682, 102159, 103283, 59657, 122, 20230, 103350, 104983, 20230, 102780, 30512, 103768, 104127, 21105, 96, 107277, 91774, 110993, 109315, 109215, 115991, 33541, 9174, 14711, 220, 126892, 220, 21105, 96, 107277, 56051, 101682, 111186, 50021, 111813, 29295, 108608, 198, 58426, 119208, 16144, 101682, 111186, 109853, 50520, 111, 102800, 198, 105408, 10110, 27384, 33014, 29295, 59657, 122, 101544, 7705, 29295, 5486, 101682, 111186, 23538, 101983, 104533, 101682, 111186, 50021, 111813, 71289, 106759, 45829, 28190, 111813, 5486, 101682, 111186, 102472, 25197, 99959, 107446, 104309, 117824, 76947, 120700, 33541, 9174, 118899, 118816, 104575, 16144, 105408, 20230, 104655, 102532, 32977, 30591, 109709, 101682, 111186, 114556, 39926, 50520, 111, 106624, 103470, 38144, 5486, 118789, 109904, 39880, 45923, 66953, 112900, 30512, 32977, 33503, 58942, 104435, 114016, 126390, 114652, 33334, 104655, 50834, 78434, 9174, 58426, 115195, 15682, 59657, 122, 118816, 50338, 104662, 125545, 101832, 9174, 14711, 220, 49412, 96, 113545, 71634, 112772, 111983, 108710, 29295, 101682, 76622, 110071, 198, 23187, 23538, 57933, 71634, 25580, 102052, 5486, 108064, 102944, 59657, 122, 16144, 121914, 107118, 103283, 16144, 117816, 198, 13177, 57933, 71634, 25580, 111983, 108710, 10646, 109904, 112391, 16556, 5486, 57933, 71634, 103359, 105226, 30512, 39926, 124089, 110229, 32977, 127181, 38641, 9174, 77693, 32977, 5486, 101682, 114341, 15682, 39926, 100604, 70626, 30832, 72661, 57933, 71634, 25580, 102052, 91774, 38144, 124089, 110229, 15682, 127181, 38641, 9174, 29504, 9039, 83947, 67016, 19732, 76947, 100604, 107493, 5486, 57933, 71634, 123628, 111983, 108710, 16556, 22649, 61337, 32977, 91774, 111243, 33503, 113017, 76947, 71174, 15682, 114652, 104655, 50834, 33541, 9174, 567, 220, 17, 13, 121503, 103283, 59657, 122, 16144, 68408, 39850, 37823, 67075, 198, 102159, 103283, 59657, 122, 16144, 68408, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 120616, 21990, 20230, 100927, 78183, 113017, 82973, 15682, 106649, 16995, 198, 119560, 107668, 108710, 108710, 101557, 96, 15682, 96356, 20230, 114308, 20230, 47884, 16995, 198, 126892, 121983, 109169, 16144, 109215, 34171, 125334, 38144, 47884, 104533, 27384, 104721, 198, 49412, 96, 102966, 108, 110362, 82973, 29295, 30250, 227, 16995, 198, 49412, 97, 105120, 236, 18904, 105408, 29295, 124500, 104533, 107404, 32977, 101182, 198, 49412, 98, 42579, 253, 15682, 105408, 30512, 122489, 118765, 59657, 122, 29295, 127181, 198, 49412, 99, 126292, 66953, 78983, 16144, 102667, 21990, 16144, 105408, 29295, 127181, 198, 49412, 100, 108477, 108, 116421, 126362, 16556, 17701, 38093, 127564, 71289, 62004, 109669, 110706, 198, 14711, 220, 118075, 120616, 21990, 20230, 100927, 78183, 113017, 82973, 15682, 106649, 16995, 198, 102159, 103283, 64467, 106839, 118816, 105408, 16, 17792, 103359, 21990, 107263, 17, 56040, 18, 17792, 26854, 105879, 5486, 27452, 116285, 17, 103359, 16, 16556, 15120, 47260, 68759, 1954, 17620, 36785, 114267, 33503, 5486, 110904, 116254, 20230, 198, 103268, 17620, 16144, 1774, 17620, 67016, 91774, 111243, 33503, 58942, 123733, 31431, 33541, 9174, 26854, 105879, 5486, 102159, 103283, 59657, 122, 16556, 114652, 101182, 112973, 111476, 9458, 198, 105408, 117158, 103646, 111681, 104482, 29295, 105721, 78183, 76947, 117119, 32977, 21105, 103, 117201, 75293, 113017, 82973, 107407, 198, 16325, 104680, 105408, 29295, 37507, 38144, 47884, 110615, 198, 105408, 29295, 112008, 21105, 251, 30297, 16556, 105284, 99397, 21105, 98, 110706, 198, 102677, 16144, 30512, 114652, 114652, 33334, 104655, 50834, 78434, 9174, 33334, 35330, 32977, 32149, 126469, 33541, 15024, 115847, 15682, 27384, 112495, 68408, 39850, 37823, 67075, 125651, 9174, 14711, 220, 119560, 107668, 108710, 108710, 101557, 96, 15682, 96356, 20230, 114308, 20230, 47884, 16995, 198, 102159, 103283, 59657, 122, 16144, 109249, 104482, 16144, 121216, 24273, 76947, 111476, 27384, 116875, 13177, 111299, 111017, 31431, 10646, 105321, 125651, 9174, 13177, 37507, 111299, 103296, 20230, 115412, 115412, 30512, 125338, 50834, 38144, 101832, 56040, 10646, 76947, 95604, 121216, 24273, 38641, 9174, 32977, 107173, 19732, 101182, 113314, 16144, 102099, 40452, 29295, 103082, 100481, 38144, 5486, 111681, 104482, 30512, 83747, 21105, 98, 59739, 103130, 109315, 105908, 103082, 100934, 121240, 126513, 99849, 32977, 109606, 15682, 124897, 29295, 108048, 29295, 103082, 126386, 124863, 198, 59657, 122, 16144, 25580, 9080, 71289, 40265, 117816, 109249, 104482, 30512, 123011, 107436, 109134, 198, 109249, 104482, 29295, 105721, 78183, 110104, 110674, 59657, 122, 120650, 47884, 198, 103899, 58942, 30512, 86348, 62543, 17663, 198, 105721, 78183, 33503, 104435, 109249, 104482, 30512, 59657, 122, 16144, 64467, 106839, 126867, 109134, 198, 114016, 115789, 114652, 114652, 57903, 33541, 9174, 77693, 104446, 30591, 13153, 116486, 15682, 16325, 104680, 115442, 110104, 38641, 123794, 9174, 14711, 220, 126892, 121983, 109169, 16144, 109215, 34171, 125334, 38144, 47884, 104533, 27384, 104721, 198, 43167, 108638, 59657, 122, 116446, 32977, 102159, 103283, 59657, 122, 116446, 32977, 5486, 46729, 55031, 110596, 16995, 19732, 198, 37705, 109169, 16144, 109215, 34171, 125334, 38144, 109749, 107803, 32977, 57903, 33541, 9174, 26854, 105879, 5486, 37705, 109169, 29295, 107202, 110034, 48154, 118006, 105110, 103424, 117714, 119627, 5486, 55999, 122502, 50834, 16144, 48154, 118006, 103351, 31431, 112008, 102800, 118006, 16144, 107803, 118816, 5486, 37705, 109169, 15682, 107188, 111331, 109972, 106529, 117084, 103801, 61689, 9174, 14711, 220, 49412, 96, 102966, 108, 110362, 82973, 29295, 30250, 227, 16995, 198, 102159, 103283, 59657, 122, 15682, 107141, 101275, 114475, 107674, 123090, 5486, 37026, 108710, 102452, 16556, 53508, 231, 104195, 30512, 39926, 55031, 112454, 100472, 31431, 54926, 105879, 111476, 59657, 122, 30512, 20834, 30369, 112973, 1313, 39177, 114016, 115789, 75694, 33503, 20230, 57903, 33541, 9174, 59657, 122, 103296, 16144, 45893, 16144, 31431, 29295, 109163, 102518, 31431, 17792, 121640, 29295, 83747, 104435, 31431, 112990, 64209, 55487, 125651, 9174, 102131, 95604, 107803, 20230, 13177, 37705, 109169, 16144, 109215, 34171, 10646, 125334, 38144, 109749, 115789, 57903, 33541, 9174, 14711, 220, 49412, 97, 105120, 236, 18904, 105408, 29295, 124500, 104533, 107404, 32977, 101182, 198, 15120, 34048, 16144, 59657, 122, 77181, 111476, 112361, 70626, 30832, 26854, 110115, 105408, 29295, 118430, 118095, 20230, 124500, 76947, 114732, 110229, 32977, 57903, 33541, 9174, 13177, 37271, 111299, 16144, 118687, 15682, 58911, 101129, 105408, 125743, 5486, 37507, 111299, 15682, 101129, 16325, 105408, 16556, 1131, 111329, 115226, 26854, 9174, 120550, 104533, 100927, 58942, 24273, 29295, 47260, 42634, 47260, 42634, 104721, 116547, 33541, 55031, 121270, 104680, 13153, 116486, 122060, 15682, 91774, 104526, 62004, 107515, 101832, 9174, 14711, 220, 49412, 98, 42579, 253, 15682, 105408, 30512, 122489, 118765, 59657, 122, 29295, 127181, 198, 17701, 59657, 122, 54926, 104983, 20230, 13177, 50021, 34171, 29295, 40862, 78183, 123207, 105408, 30512, 104721, 58942, 102204, 33541, 66383, 117952, 103468, 105352, 32149, 124233, 121140, 103350, 104983, 104721, 58942, 101200, 114267, 33503, 198, 13177, 17663, 64121, 107515, 5486, 104721, 58942, 102204, 107515, 66383, 117952, 103468, 102677, 126465, 9174, 85701, 5486, 103350, 15682, 114652, 57903, 33541, 9174, 101129, 63105, 236, 16144, 102159, 103283, 64467, 106839, 59657, 122, 105321, 32149, 118816, 127181, 116233, 29295, 5486, 27929, 32977, 27929, 32977, 58426, 101467, 63105, 236, 20230, 125151, 54926, 105408, 29295, 83747, 100604, 19732, 198, 13177, 39209, 31640, 108608, 107493, 5486, 105408, 125001, 100604, 55031, 118656, 112535, 118765, 10646, 115226, 26854, 102321, 47523, 29295, 72718, 50834, 33541, 9174, 85701, 15682, 108631, 16995, 125651, 9174, 14711, 220, 49412, 99, 126292, 66953, 78983, 16144, 102667, 21990, 16144, 105408, 29295, 127181, 198, 102159, 103283, 59657, 122, 15682, 27384, 103268, 16144, 110229, 29295, 198, 127712, 78983, 16144, 102667, 21990, 16144, 105408, 16556, 13153, 31431, 80195, 76947, 61689, 9174, 26854, 105879, 5486, 64467, 106839, 48634, 30358, 103984, 127303, 104984, 43167, 108638, 59657, 122, 20230, 56051, 24273, 29295, 104712, 32149, 110241, 33121, 107515, 9174, 90620, 5486, 102667, 21990, 109860, 64467, 106839, 29295, 17297, 46034, 32149, 19732, 117952, 104028, 19732, 59614, 101860, 15024, 32977, 102131, 77181, 124897, 15024, 110745, 107707, 105408, 29295, 59614, 101860, 17905, 46034, 32149, 102677, 19732, 102131, 107173, 48249, 31431, 107515, 9174, 58426, 115195, 15682, 5486, 17792, 103732, 104533, 91763, 61689, 9174, 90620, 5486, 105408, 16144, 64209, 110794, 9554, 102052, 106718, 16144, 66953, 78983, 16144, 105408, 126036, 110745, 107707, 37656, 61337, 102351, 16144, 105408, 120332, 29295, 108056, 19732, 91774, 38144, 124089, 116537, 127181, 125651, 9174, 14711, 220, 49412, 100, 108477, 108, 116421, 126362, 16556, 17701, 38093, 127564, 71289, 62004, 109669, 110706, 198, 13177, 98915, 17792, 117758, 126362, 16556, 10646, 17701, 59657, 122, 107001, 24273, 15682, 32977, 43514, 85791, 25827, 127181, 116233, 29295, 108048, 16556, 32307, 29295, 15120, 45059, 29295, 110137, 102802, 104435, 39177, 123334, 62004, 109669, 33503, 115737, 42891, 104702, 30297, 116233, 123794, 9174, 43167, 108638, 59657, 122, 110162, 105110, 13177, 71289, 112043, 31431, 123331, 101682, 111186, 71289, 109013, 16144, 57980, 10646, 115226, 20230, 119852, 103801, 116285, 103424, 117714, 119627, 5486, 102159, 103283, 59657, 122, 118816, 104405, 120837, 102131, 95604, 112973, 26854, 107188, 126660, 105879, 36896, 71289, 62004, 106956, 107493, 108948, 98915, 104067, 16144, 126362, 36785, 15024, 5486, 102782, 15024, 117735, 100604, 1131, 10646, 104856, 76947, 58426, 74482, 32977, 105321, 19732, 103470, 106307, 107441, 114732, 126465, 29295, 127181, 116233, 9174, 26854, 105879, 5486, 110241, 20230, 102159, 103283, 59657, 122, 109156, 30369, 104983, 102052, 108608, 103378, 98915, 104067, 16144, 126362, 110162, 126194, 863, 110219, 20230, 863, 17701, 59657, 122, 112990, 126521, 38641, 57980, 9174, 567, 220, 18, 13, 122973, 108638, 59657, 122, 16144, 39850, 37823, 67075, 198, 43167, 108638, 59657, 122, 16144, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 220, 113850, 56965, 19732, 102769, 108419, 233, 20321, 95, 118368, 21105, 103, 29295, 33503, 53508, 231, 104195, 108608, 198, 119560, 107668, 101467, 126036, 103856, 16995, 99695, 61398, 16556, 53508, 231, 104195, 108608, 198, 126892, 59330, 224, 103722, 34171, 16144, 126574, 64467, 106839, 29295, 101682, 76622, 110071, 198, 49412, 96, 126762, 32943, 54872, 106081, 71289, 59657, 122, 32943, 57933, 71634, 16556, 48864, 48634, 16144, 104721, 33208, 29295, 78183, 117295, 198, 14711, 220, 118075, 220, 113850, 56965, 19732, 102769, 108419, 233, 20321, 95, 118368, 21105, 103, 29295, 33503, 53508, 231, 104195, 108608, 198, 117952, 101860, 32977, 29295, 26854, 119627, 5486, 112361, 30832, 105888, 121254, 126469, 103130, 126559, 198, 113850, 56965, 19732, 102769, 108419, 233, 20321, 95, 118368, 21105, 103, 29295, 33503, 53508, 231, 104195, 108608, 104468, 27384, 112495, 39850, 37823, 67075, 38641, 9174, 102159, 103283, 59657, 122, 15682, 116898, 85791, 103171, 48864, 116358, 45829, 104067, 5486, 30832, 105888, 32977, 48864, 48634, 44971, 115882, 32977, 66953, 32131, 66953, 32131, 119627, 5486, 43167, 108638, 59657, 122, 15682, 27384, 116875, 44971, 115882, 20230, 106608, 100204, 38144, 107059, 22398, 17620, 76622, 84389, 33541, 105879, 5486, 114300, 106106, 64209, 29295, 19012, 119, 50834, 121697, 124195, 102494, 78459, 102832, 38248, 115, 78205, 16073, 32977, 115442, 31431, 33541, 9174, 14711, 220, 119560, 107668, 101467, 126036, 103856, 16995, 99695, 61398, 16556, 53508, 231, 104195, 108608, 198, 30832, 64467, 17663, 104575, 113468, 15682, 198, 13177, 58426, 99695, 61398, 16556, 53508, 231, 104195, 30512, 103130, 62004, 100481, 38144, 15682, 101682, 111186, 20230, 122756, 40862, 78183, 100604, 10646, 104575, 32977, 57903, 33541, 9174, 123331, 101682, 111186, 71289, 111108, 97518, 117734, 29295, 127181, 38641, 9174, 102131, 95604, 107803, 102052, 5486, 104575, 16144, 99695, 61398, 20230, 114146, 101860, 59657, 122, 16144, 99695, 61398, 16556, 102472, 125057, 16073, 103130, 62004, 100481, 47884, 109215, 115991, 33541, 9174, 43167, 108638, 59657, 122, 15682, 110924, 32977, 39850, 37823, 67075, 112028, 59739, 38641, 9174, 14711, 220, 126892, 59330, 224, 103722, 34171, 16144, 126574, 64467, 106839, 29295, 101682, 76622, 110071, 198, 111108, 97518, 123331, 114475, 111186, 107001, 24273, 71289, 5486, 111108, 97518, 117734, 30512, 30832, 64467, 17663, 45829, 104309, 5486, 108056, 19732, 198, 13177, 58426, 104575, 20230, 101682, 117295, 124122, 39850, 102741, 105404, 10646, 29295, 43167, 108638, 59657, 122, 102052, 57903, 33541, 9174, 26854, 105879, 5486, 31958, 105184, 26854, 126574, 30832, 105888, 107407, 45829, 102052, 43167, 108638, 59657, 122, 15682, 2243, 112, 100472, 31431, 38641, 9174, 90620, 121270, 102052, 13177, 43167, 108638, 59657, 122, 116771, 10646, 126194, 5486, 39850, 76171, 15682, 43167, 108638, 59657, 122, 16556, 53508, 231, 104195, 30512, 100927, 116547, 106272, 120953, 120837, 198, 107202, 46034, 26854, 100927, 70626, 103378, 102159, 103283, 59657, 122, 71289, 118006, 100927, 104599, 16556, 111983, 30297, 126465, 32977, 57903, 33541, 9174, 14711, 220, 49412, 96, 126762, 32943, 54872, 106081, 71289, 59657, 122, 32943, 57933, 71634, 16556, 48864, 48634, 16144, 104721, 33208, 29295, 78183, 117295, 198, 102159, 103283, 59657, 122, 71289, 118006, 100927, 104599, 19732, 108901, 26854, 31431, 111476, 101467, 32943, 54872, 106081, 71289, 59657, 122, 32943, 57933, 71634, 16144, 18904, 9039, 29295, 43167, 108638, 59657, 122, 16144, 107803, 107188, 31431, 127181, 38641, 9174, 26854, 105879, 5486, 106649, 16995, 22398, 124535, 16556, 108056, 19732, 13153, 116486, 16144, 104721, 33208, 71289, 13153, 101544, 29295, 78183, 117295, 105879, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 109205, 69978, 105352, 103721, 233, 29295, 31431, 33541, 101832 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 108608, 198, 46729, 16556, 53508, 231, 104195, 54926, 126036, 5486, 105268, 104055, 13177, 70563, 37823, 26269, 66383, 56051, 35894, 95221, 120332, 29295, 120766, 108608, 121240, 126513, 102159, 103283, 59657, 122, 70141, 50834, 125651, 9174, 90620, 121270, 102052, 89151, 28190, 30832, 20230, 71289, 31431, 106956, 110115, 41642, 111331, 33334, 116826, 103854, 31431, 26854, 121240, 71174, 29295, 119448, 47884, 38144, 120766, 103082, 123733, 76947, 1131, 76947, 45829, 32977, 61689, 9174, 26854, 105879, 5486, 110382, 15682, 102159, 103283, 59657, 122, 20230, 103350, 104983, 20230, 102780, 30512, 103768, 104127, 21105, 96, 107277, 91774, 110993, 109315, 109215, 115991, 33541, 9174, 14711, 220, 126892, 220, 21105, 96, 107277, 56051, 101682, 111186, 50021, 111813, 29295, 108608, 198, 58426, 119208, 16144, 101682, 111186, 109853, 50520, 111, 102800, 198, 105408, 10110, 27384, 33014, 29295, 59657, 122, 101544, 7705, 29295, 5486, 101682, 111186, 23538, 101983, 104533, 101682, 111186, 50021, 111813, 71289, 106759, 45829, 28190, 111813, 5486, 101682, 111186, 102472, 25197, 99959, 107446, 104309, 117824, 76947, 120700, 33541, 9174, 118899, 118816, 104575, 16144, 105408, 20230, 104655, 102532, 32977, 30591, 109709, 101682, 111186, 114556, 39926, 50520, 111, 106624, 103470, 38144, 5486, 118789, 109904, 39880, 45923, 66953, 112900, 30512, 32977, 33503, 58942, 104435, 114016, 126390, 114652, 33334, 104655, 50834, 78434, 9174, 58426, 115195, 15682, 59657, 122, 118816, 50338, 104662, 125545, 101832, 9174, 14711, 220, 49412, 96, 113545, 71634, 112772, 111983, 108710, 29295, 101682, 76622, 110071, 198, 23187, 23538, 57933, 71634, 25580, 102052, 5486, 108064, 102944, 59657, 122, 16144, 121914, 107118, 103283, 16144, 117816, 198, 13177, 57933, 71634, 25580, 111983, 108710, 10646, 109904, 112391, 16556, 5486, 57933, 71634, 103359, 105226, 30512, 39926, 124089, 110229, 32977, 127181, 38641, 9174, 77693, 32977, 5486, 101682, 114341, 15682, 39926, 100604, 70626, 30832, 72661, 57933, 71634, 25580, 102052, 91774, 38144, 124089, 110229, 15682, 127181, 38641, 9174, 29504, 9039, 83947, 67016, 19732, 76947, 100604, 107493, 5486, 57933, 71634, 123628, 111983, 108710, 16556, 22649, 61337, 32977, 91774, 111243, 33503, 113017, 76947, 71174, 15682, 114652, 104655, 50834, 33541, 9174, 567, 220, 17, 13, 121503, 103283, 59657, 122, 16144, 68408, 39850, 37823, 67075, 198, 102159, 103283, 59657, 122, 16144, 68408, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 120616, 21990, 20230, 100927, 78183, 113017, 82973, 15682, 106649, 16995, 198, 119560, 107668, 108710, 108710, 101557, 96, 15682, 96356, 20230, 114308, 20230, 47884, 16995, 198, 126892, 121983, 109169, 16144, 109215, 34171, 125334, 38144, 47884, 104533, 27384, 104721, 198, 49412, 96, 102966, 108, 110362, 82973, 29295, 30250, 227, 16995, 198, 49412, 97, 105120, 236, 18904, 105408, 29295, 124500, 104533, 107404, 32977, 101182, 198, 49412, 98, 42579, 253, 15682, 105408, 30512, 122489, 118765, 59657, 122, 29295, 127181, 198, 49412, 99, 126292, 66953, 78983, 16144, 102667, 21990, 16144, 105408, 29295, 127181, 198, 49412, 100, 108477, 108, 116421, 126362, 16556, 17701, 38093, 127564, 71289, 62004, 109669, 110706, 198, 14711, 220, 118075, 120616, 21990, 20230, 100927, 78183, 113017, 82973, 15682, 106649, 16995, 198, 102159, 103283, 64467, 106839, 118816, 105408, 16, 17792, 103359, 21990, 107263, 17, 56040, 18, 17792, 26854, 105879, 5486, 27452, 116285, 17, 103359, 16, 16556, 15120, 47260, 68759, 1954, 17620, 36785, 114267, 33503, 5486, 110904, 116254, 20230, 198, 103268, 17620, 16144, 1774, 17620, 67016, 91774, 111243, 33503, 58942, 123733, 31431, 33541, 9174, 26854, 105879, 5486, 102159, 103283, 59657, 122, 16556, 114652, 101182, 112973, 111476, 9458, 198, 105408, 117158, 103646, 111681, 104482, 29295, 105721, 78183, 76947, 117119, 32977, 21105, 103, 117201, 75293, 113017, 82973, 107407, 198, 16325, 104680, 105408, 29295, 37507, 38144, 47884, 110615, 198, 105408, 29295, 112008, 21105, 251, 30297, 16556, 105284, 99397, 21105, 98, 110706, 198, 102677, 16144, 30512, 114652, 114652, 33334, 104655, 50834, 78434, 9174, 33334, 35330, 32977, 32149, 126469, 33541, 15024, 115847, 15682, 27384, 112495, 68408, 39850, 37823, 67075, 125651, 9174, 14711, 220, 119560, 107668, 108710, 108710, 101557, 96, 15682, 96356, 20230, 114308, 20230, 47884, 16995, 198, 102159, 103283, 59657, 122, 16144, 109249, 104482, 16144, 121216, 24273, 76947, 111476, 27384, 116875, 13177, 111299, 111017, 31431, 10646, 105321, 125651, 9174, 13177, 37507, 111299, 103296, 20230, 115412, 115412, 30512, 125338, 50834, 38144, 101832, 56040, 10646, 76947, 95604, 121216, 24273, 38641, 9174, 32977, 107173, 19732, 101182, 113314, 16144, 102099, 40452, 29295, 103082, 100481, 38144, 5486, 111681, 104482, 30512, 83747, 21105, 98, 59739, 103130, 109315, 105908, 103082, 100934, 121240, 126513, 99849, 32977, 109606, 15682, 124897, 29295, 108048, 29295, 103082, 126386, 124863, 198, 59657, 122, 16144, 25580, 9080, 71289, 40265, 117816, 109249, 104482, 30512, 123011, 107436, 109134, 198, 109249, 104482, 29295, 105721, 78183, 110104, 110674, 59657, 122, 120650, 47884, 198, 103899, 58942, 30512, 86348, 62543, 17663, 198, 105721, 78183, 33503, 104435, 109249, 104482, 30512, 59657, 122, 16144, 64467, 106839, 126867, 109134, 198, 114016, 115789, 114652, 114652, 57903, 33541, 9174, 77693, 104446, 30591, 13153, 116486, 15682, 16325, 104680, 115442, 110104, 38641, 123794, 9174, 14711, 220, 126892, 121983, 109169, 16144, 109215, 34171, 125334, 38144, 47884, 104533, 27384, 104721, 198, 43167, 108638, 59657, 122, 116446, 32977, 102159, 103283, 59657, 122, 116446, 32977, 5486, 46729, 55031, 110596, 16995, 19732, 198, 37705, 109169, 16144, 109215, 34171, 125334, 38144, 109749, 107803, 32977, 57903, 33541, 9174, 26854, 105879, 5486, 37705, 109169, 29295, 107202, 110034, 48154, 118006, 105110, 103424, 117714, 119627, 5486, 55999, 122502, 50834, 16144, 48154, 118006, 103351, 31431, 112008, 102800, 118006, 16144, 107803, 118816, 5486, 37705, 109169, 15682, 107188, 111331, 109972, 106529, 117084, 103801, 61689, 9174, 14711, 220, 49412, 96, 102966, 108, 110362, 82973, 29295, 30250, 227, 16995, 198, 102159, 103283, 59657, 122, 15682, 107141, 101275, 114475, 107674, 123090, 5486, 37026, 108710, 102452, 16556, 53508, 231, 104195, 30512, 39926, 55031, 112454, 100472, 31431, 54926, 105879, 111476, 59657, 122, 30512, 20834, 30369, 112973, 1313, 39177, 114016, 115789, 75694, 33503, 20230, 57903, 33541, 9174, 59657, 122, 103296, 16144, 45893, 16144, 31431, 29295, 109163, 102518, 31431, 17792, 121640, 29295, 83747, 104435, 31431, 112990, 64209, 55487, 125651, 9174, 102131, 95604, 107803, 20230, 13177, 37705, 109169, 16144, 109215, 34171, 10646, 125334, 38144, 109749, 115789, 57903, 33541, 9174, 14711, 220, 49412, 97, 105120, 236, 18904, 105408, 29295, 124500, 104533, 107404, 32977, 101182, 198, 15120, 34048, 16144, 59657, 122, 77181, 111476, 112361, 70626, 30832, 26854, 110115, 105408, 29295, 118430, 118095, 20230, 124500, 76947, 114732, 110229, 32977, 57903, 33541, 9174, 13177, 37271, 111299, 16144, 118687, 15682, 58911, 101129, 105408, 125743, 5486, 37507, 111299, 15682, 101129, 16325, 105408, 16556, 1131, 111329, 115226, 26854, 9174, 120550, 104533, 100927, 58942, 24273, 29295, 47260, 42634, 47260, 42634, 104721, 116547, 33541, 55031, 121270, 104680, 13153, 116486, 122060, 15682, 91774, 104526, 62004, 107515, 101832, 9174, 14711, 220, 49412, 98, 42579, 253, 15682, 105408, 30512, 122489, 118765, 59657, 122, 29295, 127181, 198, 17701, 59657, 122, 54926, 104983, 20230, 13177, 50021, 34171, 29295, 40862, 78183, 123207, 105408, 30512, 104721, 58942, 102204, 33541, 66383, 117952, 103468, 105352, 32149, 124233, 121140, 103350, 104983, 104721, 58942, 101200, 114267, 33503, 198, 13177, 17663, 64121, 107515, 5486, 104721, 58942, 102204, 107515, 66383, 117952, 103468, 102677, 126465, 9174, 85701, 5486, 103350, 15682, 114652, 57903, 33541, 9174, 101129, 63105, 236, 16144, 102159, 103283, 64467, 106839, 59657, 122, 105321, 32149, 118816, 127181, 116233, 29295, 5486, 27929, 32977, 27929, 32977, 58426, 101467, 63105, 236, 20230, 125151, 54926, 105408, 29295, 83747, 100604, 19732, 198, 13177, 39209, 31640, 108608, 107493, 5486, 105408, 125001, 100604, 55031, 118656, 112535, 118765, 10646, 115226, 26854, 102321, 47523, 29295, 72718, 50834, 33541, 9174, 85701, 15682, 108631, 16995, 125651, 9174, 14711, 220, 49412, 99, 126292, 66953, 78983, 16144, 102667, 21990, 16144, 105408, 29295, 127181, 198, 102159, 103283, 59657, 122, 15682, 27384, 103268, 16144, 110229, 29295, 198, 127712, 78983, 16144, 102667, 21990, 16144, 105408, 16556, 13153, 31431, 80195, 76947, 61689, 9174, 26854, 105879, 5486, 64467, 106839, 48634, 30358, 103984, 127303, 104984, 43167, 108638, 59657, 122, 20230, 56051, 24273, 29295, 104712, 32149, 110241, 33121, 107515, 9174, 90620, 5486, 102667, 21990, 109860, 64467, 106839, 29295, 17297, 46034, 32149, 19732, 117952, 104028, 19732, 59614, 101860, 15024, 32977, 102131, 77181, 124897, 15024, 110745, 107707, 105408, 29295, 59614, 101860, 17905, 46034, 32149, 102677, 19732, 102131, 107173, 48249, 31431, 107515, 9174, 58426, 115195, 15682, 5486, 17792, 103732, 104533, 91763, 61689, 9174, 90620, 5486, 105408, 16144, 64209, 110794, 9554, 102052, 106718, 16144, 66953, 78983, 16144, 105408, 126036, 110745, 107707, 37656, 61337, 102351, 16144, 105408, 120332, 29295, 108056, 19732, 91774, 38144, 124089, 116537, 127181, 125651, 9174, 14711, 220, 49412, 100, 108477, 108, 116421, 126362, 16556, 17701, 38093, 127564, 71289, 62004, 109669, 110706, 198, 13177, 98915, 17792, 117758, 126362, 16556, 10646, 17701, 59657, 122, 107001, 24273, 15682, 32977, 43514, 85791, 25827, 127181, 116233, 29295, 108048, 16556, 32307, 29295, 15120, 45059, 29295, 110137, 102802, 104435, 39177, 123334, 62004, 109669, 33503, 115737, 42891, 104702, 30297, 116233, 123794, 9174, 43167, 108638, 59657, 122, 110162, 105110, 13177, 71289, 112043, 31431, 123331, 101682, 111186, 71289, 109013, 16144, 57980, 10646, 115226, 20230, 119852, 103801, 116285, 103424, 117714, 119627, 5486, 102159, 103283, 59657, 122, 118816, 104405, 120837, 102131, 95604, 112973, 26854, 107188, 126660, 105879, 36896, 71289, 62004, 106956, 107493, 108948, 98915, 104067, 16144, 126362, 36785, 15024, 5486, 102782, 15024, 117735, 100604, 1131, 10646, 104856, 76947, 58426, 74482, 32977, 105321, 19732, 103470, 106307, 107441, 114732, 126465, 29295, 127181, 116233, 9174, 26854, 105879, 5486, 110241, 20230, 102159, 103283, 59657, 122, 109156, 30369, 104983, 102052, 108608, 103378, 98915, 104067, 16144, 126362, 110162, 126194, 863, 110219, 20230, 863, 17701, 59657, 122, 112990, 126521, 38641, 57980, 9174, 567, 220, 18, 13, 122973, 108638, 59657, 122, 16144, 39850, 37823, 67075, 198, 43167, 108638, 59657, 122, 16144, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 220, 113850, 56965, 19732, 102769, 108419, 233, 20321, 95, 118368, 21105, 103, 29295, 33503, 53508, 231, 104195, 108608, 198, 119560, 107668, 101467, 126036, 103856, 16995, 99695, 61398, 16556, 53508, 231, 104195, 108608, 198, 126892, 59330, 224, 103722, 34171, 16144, 126574, 64467, 106839, 29295, 101682, 76622, 110071, 198, 49412, 96, 126762, 32943, 54872, 106081, 71289, 59657, 122, 32943, 57933, 71634, 16556, 48864, 48634, 16144, 104721, 33208, 29295, 78183, 117295, 198, 14711, 220, 118075, 220, 113850, 56965, 19732, 102769, 108419, 233, 20321, 95, 118368, 21105, 103, 29295, 33503, 53508, 231, 104195, 108608, 198, 117952, 101860, 32977, 29295, 26854, 119627, 5486, 112361, 30832, 105888, 121254, 126469, 103130, 126559, 198, 113850, 56965, 19732, 102769, 108419, 233, 20321, 95, 118368, 21105, 103, 29295, 33503, 53508, 231, 104195, 108608, 104468, 27384, 112495, 39850, 37823, 67075, 38641, 9174, 102159, 103283, 59657, 122, 15682, 116898, 85791, 103171, 48864, 116358, 45829, 104067, 5486, 30832, 105888, 32977, 48864, 48634, 44971, 115882, 32977, 66953, 32131, 66953, 32131, 119627, 5486, 43167, 108638, 59657, 122, 15682, 27384, 116875, 44971, 115882, 20230, 106608, 100204, 38144, 107059, 22398, 17620, 76622, 84389, 33541, 105879, 5486, 114300, 106106, 64209, 29295, 19012, 119, 50834, 121697, 124195, 102494, 78459, 102832, 38248, 115, 78205, 16073, 32977, 115442, 31431, 33541, 9174, 14711, 220, 119560, 107668, 101467, 126036, 103856, 16995, 99695, 61398, 16556, 53508, 231, 104195, 108608, 198, 30832, 64467, 17663, 104575, 113468, 15682, 198, 13177, 58426, 99695, 61398, 16556, 53508, 231, 104195, 30512, 103130, 62004, 100481, 38144, 15682, 101682, 111186, 20230, 122756, 40862, 78183, 100604, 10646, 104575, 32977, 57903, 33541, 9174, 123331, 101682, 111186, 71289, 111108, 97518, 117734, 29295, 127181, 38641, 9174, 102131, 95604, 107803, 102052, 5486, 104575, 16144, 99695, 61398, 20230, 114146, 101860, 59657, 122, 16144, 99695, 61398, 16556, 102472, 125057, 16073, 103130, 62004, 100481, 47884, 109215, 115991, 33541, 9174, 43167, 108638, 59657, 122, 15682, 110924, 32977, 39850, 37823, 67075, 112028, 59739, 38641, 9174, 14711, 220, 126892, 59330, 224, 103722, 34171, 16144, 126574, 64467, 106839, 29295, 101682, 76622, 110071, 198, 111108, 97518, 123331, 114475, 111186, 107001, 24273, 71289, 5486, 111108, 97518, 117734, 30512, 30832, 64467, 17663, 45829, 104309, 5486, 108056, 19732, 198, 13177, 58426, 104575, 20230, 101682, 117295, 124122, 39850, 102741, 105404, 10646, 29295, 43167, 108638, 59657, 122, 102052, 57903, 33541, 9174, 26854, 105879, 5486, 31958, 105184, 26854, 126574, 30832, 105888, 107407, 45829, 102052, 43167, 108638, 59657, 122, 15682, 2243, 112, 100472, 31431, 38641, 9174, 90620, 121270, 102052, 13177, 43167, 108638, 59657, 122, 116771, 10646, 126194, 5486, 39850, 76171, 15682, 43167, 108638, 59657, 122, 16556, 53508, 231, 104195, 30512, 100927, 116547, 106272, 120953, 120837, 198, 107202, 46034, 26854, 100927, 70626, 103378, 102159, 103283, 59657, 122, 71289, 118006, 100927, 104599, 16556, 111983, 30297, 126465, 32977, 57903, 33541, 9174, 14711, 220, 49412, 96, 126762, 32943, 54872, 106081, 71289, 59657, 122, 32943, 57933, 71634, 16556, 48864, 48634, 16144, 104721, 33208, 29295, 78183, 117295, 198, 102159, 103283, 59657, 122, 71289, 118006, 100927, 104599, 19732, 108901, 26854, 31431, 111476, 101467, 32943, 54872, 106081, 71289, 59657, 122, 32943, 57933, 71634, 16144, 18904, 9039, 29295, 43167, 108638, 59657, 122, 16144, 107803, 107188, 31431, 127181, 38641, 9174, 26854, 105879, 5486, 106649, 16995, 22398, 124535, 16556, 108056, 19732, 13153, 116486, 16144, 104721, 33208, 71289, 13153, 101544, 29295, 78183, 117295, 105879, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 109205, 69978, 105352, 103721, 233, 29295, 31431, 33541, 101832 ]
[ 9174, 567, 220, 19, 13, 122973, 108638, 59657, 122, 16144, 68408, 39850, 37823, 67075, 198, 43167, 108638, 59657, 122, 16144, 68408, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 108350, 17920, 236, 29295, 78183, 126469, 100604, 19732, 59739, 16995, 100481, 124324, 198, 119560, 220, 118765, 124863, 91774, 15017, 101, 38144, 110071, 198, 126892, 116814, 122, 16144, 99695, 61398, 20230, 114146, 30369, 109215, 107407, 198, 49412, 96, 42579, 123, 104482, 29295, 127181, 198, 49412, 97, 110453, 119, 118095, 20230, 107059, 22398, 29295, 124500, 30369, 107803, 107407, 198, 14711, 220, 118075, 108350, 17920, 236, 29295, 78183, 126469, 100604, 19732, 59739, 16995, 100481, 124324, 198, 104575, 16144, 53508, 231, 104195, 29295, 110674, 105110, 100604, 121894, 77181, 5486, 43167, 108638, 59657, 122, 32977, 112672, 59739, 16995, 100481, 76622, 107515, 9174, 26854, 105879, 5486, 67645, 112384, 32149, 102677, 19732, 198, 13177, 24186, 104680, 53508, 231, 104195, 29295, 103082, 125655, 45829, 10646, 71289, 34226, 109020, 106826, 103830, 122060, 30512, 103192, 104127, 30369, 45829, 105321, 32149, 29295, 43167, 108638, 59657, 122, 102052, 127181, 38641, 9174, 14711, 220, 119560, 220, 118765, 124863, 91774, 15017, 101, 38144, 110071, 198, 43167, 108638, 59657, 122, 15682, 27384, 116875, 44971, 115882, 113468, 107059, 22398, 17620, 76622, 29295, 84389, 100481, 38144, 5486, 20251, 103830, 107059, 22398, 117255, 15682, 102472, 125057, 16073, 53508, 231, 104195, 30512, 109134, 105879, 103192, 102189, 113702, 125334, 126172, 16995, 38641, 9174, 119627, 5486, 116900, 20230, 198, 15120, 87217, 17297, 16144, 107059, 22398, 117084, 114604, 45829, 105321, 32149, 15682, 5486, 112179, 30369, 17129, 124527, 20230, 27699, 116, 126469, 105465, 106624, 125338, 15682, 107991, 29295, 5486, 113702, 32977, 30591, 109709, 16556, 101860, 5486, 113202, 78183, 106644, 30369, 118133, 65854, 98369, 10646, 121894, 117084, 103801, 61689, 9174, 51330, 115195, 16144, 109335, 43167, 108638, 59657, 122, 16144, 108008, 20230, 57207, 91482, 39880, 26854, 110229, 125651, 9174, 14711, 220, 126892, 116814, 122, 16144, 99695, 61398, 20230, 114146, 30369, 109215, 107407, 198, 53508, 231, 104195, 16144, 99695, 61398, 114556, 120837, 5486, 59657, 122, 16144, 18904, 9039, 71289, 105343, 107792, 114341, 108710, 104309, 5486, 39135, 104680, 26854, 28190, 16556, 48154, 118006, 29295, 59657, 122, 20230, 114146, 30369, 107507, 101198, 94550, 29295, 127181, 38641, 9174, 103721, 108, 31431, 104196, 15024, 102052, 26854, 31431, 33541, 29295, 5486, 43167, 108638, 59657, 122, 109156, 113017, 121240, 198, 30832, 105888, 76947, 13177, 123331, 101682, 111186, 59712, 111108, 97518, 101467, 101682, 111186, 10646, 104309, 122603, 16995, 30832, 105888, 114792, 100472, 45829, 29295, 127181, 38641, 9174, 120550, 104533, 77693, 26854, 112586, 103856, 16995, 99695, 61398, 16556, 53508, 231, 104195, 30512, 103130, 107436, 5486, 121771, 115867, 53508, 231, 104195, 33857, 30512, 22957, 26854, 17663, 109215, 115991, 33541, 105879, 5486, 59657, 122, 20230, 114146, 30369, 76947, 123017, 106548, 24273, 119703, 42891, 104702, 106548, 24273, 119703, 107118, 91763, 61689, 9174, 26854, 105879, 5486, 101682, 117295, 113009, 91875, 102532, 47884, 115032, 59657, 122, 110366, 20230, 49988, 72342, 110071, 105879, 30591, 104984, 49988, 127397, 33334, 102334, 118881, 29295, 5486, 105755, 104712, 113702, 29295, 103192, 109315, 32149, 106046, 61689, 9174, 14711, 220, 49412, 96, 42579, 123, 104482, 29295, 127181, 198, 66378, 20230, 123331, 101682, 111186, 16144, 43167, 108638, 59657, 122, 20230, 127181, 112973, 5486, 102717, 127842, 20230, 198, 62004, 104702, 47884, 104702, 109249, 104482, 125334, 30369, 102677, 100909, 38641, 9174, 104575, 16144, 109249, 104482, 19732, 57326, 112718, 107908, 104774, 16556, 107188, 111331, 33857, 29295, 59657, 122, 55031, 20834, 33541, 15024, 5486, 43167, 108638, 59657, 122, 15682, 118430, 118095, 20230, 59657, 122, 32943, 57933, 71634, 115991, 33541, 105879, 108048, 16144, 103359, 105226, 32977, 21105, 103, 47884, 38144, 112987, 76622, 107515, 9174, 85701, 29295, 13177, 27384, 104721, 102131, 1131, 59712, 22957, 26854, 122101, 37026, 22023, 119703, 1131, 59712, 104575, 16144, 109249, 104482, 32977, 118765, 39177, 107407, 10646, 105933, 124863, 37656, 74245, 115200, 47884, 109020, 103378, 26854, 105879, 71289, 107436, 33334, 102334, 24273, 29295, 104712, 38641, 9174, 53508, 231, 104195, 29295, 24186, 104680, 120111, 16556, 5486, 37026, 102404, 112535, 71289, 113017, 45829, 105321, 32149, 102052, 70141, 119188, 106046, 61689, 9174, 14711, 220, 49412, 97, 110453, 119, 118095, 20230, 107059, 22398, 29295, 124500, 30369, 107803, 107407, 198, 118430, 118095, 120650, 126832, 101467, 32943, 54872, 106081, 71289, 59657, 122, 32943, 57933, 71634, 123160, 113702, 113468, 107059, 22398, 29295, 124500, 30369, 105908, 57903, 33541, 9174, 85701, 32977, 5486, 107059, 22398, 107809, 16556, 115274, 109904, 48864, 48634, 117255, 15682, 110924, 103296, 107059, 22398, 122489, 15682, 124897, 29295, 5486, 17905, 25129, 107059, 22398, 19732, 17297, 25129, 107059, 22398, 107809, 56965, 120264, 16144, 48864, 48634, 117255, 118816, 5486, 118430, 118095, 20230, 107059, 22398, 29295, 124500, 76947, 103801, 16995, 109972, 106529, 108176, 115789, 57903, 33541, 9174, 567, 220, 20, 13, 111279, 107983, 100927, 104599, 16144, 39850, 37823, 67075, 198, 118006, 100927, 104599, 16144, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 111279, 113245, 53508, 231, 104195, 16144, 108710, 101557, 96, 29295, 96356, 20230, 47000, 47884, 198, 119560, 59363, 107263, 20230, 114146, 28713, 64467, 106839, 29295, 101682, 76622, 110071, 198, 126892, 113040, 56965, 16144, 106075, 33035, 29295, 126120, 50834, 126172, 16995, 198, 49412, 96, 120616, 21990, 29295, 109749, 55031, 60868, 103672, 110615, 198, 14711, 220, 118075, 111279, 113245, 53508, 231, 104195, 16144, 108710, 101557, 96, 29295, 96356, 20230, 47000, 47884, 198, 59657, 122, 118816, 120953, 120837, 46729, 16556, 53508, 231, 104195, 30512, 21105, 103, 47884, 109020, 101427, 122, 70141, 115991, 33541, 9174, 13177, 59657, 122, 120650, 113017, 55031, 104712, 104446, 25827, 111329, 13177, 109249, 104482, 15682, 37026, 108710, 102452, 16556, 111587, 105823, 28713, 55031, 46729, 77181, 99849, 32977, 71289, 110104, 111329, 123160, 114667, 16556, 5486, 127032, 29295, 46729, 16556, 53508, 231, 104195, 30512, 103792, 110783, 104088, 28713, 100909, 100604, 102677, 71174, 15682, 108008, 20230, 43240, 47884, 108870, 20230, 78434, 9174, 58426, 28542, 118006, 100927, 104599, 118816, 5486, 27929, 32977, 27929, 32977, 29295, 46729, 16556, 53508, 231, 104195, 123410, 108710, 101557, 96, 116825, 105784, 112973, 30832, 112535, 57903, 33541, 105879, 5486, 118006, 48864, 108710, 16144, 108710, 101557, 96, 29295, 59739, 47884, 104468, 39850, 37823, 67075, 125651, 9174, 14711, 220, 119560, 59363, 107263, 20230, 114146, 28713, 64467, 106839, 29295, 101682, 76622, 110071, 198, 118006, 100927, 104599, 15682, 106116, 45829, 20230, 114146, 28713, 64467, 106839, 29295, 101682, 76622, 110071, 105879, 5486, 27452, 116285, 16937, 29741, 101467, 16556, 21105, 108, 124749, 104575, 120650, 107441, 104435, 33334, 45829, 98369, 103351, 31431, 5486, 48864, 108710, 108502, 104698, 16556, 70203, 9039, 29295, 107202, 46034, 103351, 31431, 5486, 39135, 104680, 126738, 45829, 115867, 115517, 20230, 114146, 28713, 64467, 106839, 29295, 101682, 76622, 110071, 102677, 104468, 118006, 100927, 104599, 126636, 112495, 39850, 37823, 67075, 125651, 9174, 14711, 220, 126892, 113040, 56965, 16144, 106075, 33035, 29295, 126120, 50834, 126172, 16995, 198, 127134, 124180, 71289, 108710, 16995, 30926, 104309, 16556, 124563, 107188, 32149, 104662, 117864, 121914, 71289, 82973, 30512, 35894, 76622, 102204, 100604, 45829, 105321, 32149, 15682, 5486, 82973, 71289, 110195, 117073, 106075, 33035, 29295, 126120, 50834, 126172, 16995, 105879, 118006, 100927, 104599, 119279, 125683, 62004, 38641, 9174, 59657, 122, 118816, 13177, 80699, 110195, 15682, 118687, 16556, 35330, 110195, 15682, 114654, 16556, 66383, 111017, 19732, 124108, 117084, 103801, 61689, 29295, 5486, 118006, 100927, 104599, 16144, 126513, 48154, 118006, 19732, 105408, 110792, 103911, 23187, 30512, 17663, 31431, 114146, 38144, 33671, 16144, 64467, 106839, 9080, 30512, 104662, 62004, 33541, 9174, 26854, 105879, 36896, 37271, 111299, 15682, 80699, 110195, 117816, 37507, 111243, 33503, 30297, 107493, 5486, 37507, 111299, 15682, 80699, 121914, 29295, 103911, 23187, 101182, 105879, 53610, 121914, 116446, 10646, 115226, 26854, 105908, 125545, 9174, 14711, 220, 49412, 96, 120616, 21990, 29295, 37507, 30369, 55031, 60868, 103672, 110615, 198, 59657, 122, 118816, 13177, 110589, 15682, 59657, 122, 23039, 105898, 47884, 100604, 55031, 105677, 104004, 66383, 125545, 29295, 5486, 118006, 100927, 104599, 15682, 105408, 29295, 46729, 20230, 37507, 38144, 124089, 105879, 124563, 107188, 32149, 102131, 95604, 109335, 103082, 107515, 9174, 53900, 5486, 115681, 112535, 105408, 29295, 109749, 102677, 109335, 5486, 33035, 59657, 122, 16144, 46034, 56965, 32977, 66870, 76622, 33541, 15024, 5486, 82973, 9554, 105352, 89783, 116664, 125334, 38144, 50834, 33541, 9174, 567, 220, 21, 13, 111279, 107983, 100927, 104599, 16144, 68408, 39850, 37823, 67075, 198, 118006, 100927, 104599, 16144, 68408, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 102542, 109, 20230, 99849, 18904, 32977, 109134, 104468, 111108, 102800, 198, 119560, 102362, 113468, 15682, 95221, 127814, 33121, 54926, 198, 126892, 113228, 111331, 45829, 110792, 114300, 106106, 29295, 118765, 198, 49412, 96, 32386, 247, 35330, 29295, 126574, 110229, 29295, 127181, 198, 14711, 220, 118075, 102542, 109, 20230, 99849, 18904, 32977, 109134, 104468, 111108, 102800, 198, 59657, 122, 118816, 5486, 111299, 34617, 56040, 19, 18904, 19732, 121771, 98369, 71289, 113017, 126465, 32977, 114652, 57903, 33541, 29295, 5486, 118006, 20230, 105408, 125334, 70141, 47884, 102677, 118006, 100927, 104599, 16144, 34171, 105284, 17905, 13177, 111299, 20230, 99849, 27479, 32977, 66383, 95604, 104468, 111108, 106624, 26854, 76947, 103801, 61689, 9174, 102667, 21990, 16144, 105408, 105110, 5486, 102667, 16144, 71493, 37823, 123283, 32131, 91062, 71289, 127177, 66953, 78983, 16144, 103911, 23187, 110745, 107707, 105408, 16556, 106966, 101275, 16556, 118006, 100927, 104599, 30512, 71289, 113017, 24273, 105110, 22656, 101275, 16144, 117876, 16144, 103911, 23187, 104309, 32977, 21601, 103868, 54926, 109215, 115991, 33541, 9174, 53900, 5486, 118006, 100927, 104599, 15682, 18904, 9039, 30512, 115079, 126172, 19732, 42506, 35330, 29295, 115442, 107462, 47884, 105879, 5486, 106382, 11883, 109904, 28190, 72661, 111299, 20230, 99849, 27479, 32977, 64467, 106839, 114475, 105784, 102677, 104468, 111108, 102800, 125651, 9174, 14711, 220, 119560, 102362, 113468, 15682, 95221, 127814, 33121, 54926, 198, 121410, 111299, 46729, 20230, 17792, 30512, 122765, 33541, 55031, 5486, 37507, 30369, 112772, 19012, 225, 21418, 126198, 31431, 5486, 105408, 19732, 38093, 87177, 126198, 31431, 108948, 108104, 15682, 121406, 125231, 32149, 20834, 30813, 103470, 111243, 104712, 104865, 497, 19732, 78698, 107800, 31431, 54926, 112973, 107202, 26854, 24273, 32977, 16995, 104533, 91763, 61689, 9174, 102131, 95604, 24273, 16144, 126513, 118006, 100927, 104599, 104446, 103470, 38144, 5486, 59657, 122, 104309, 16556, 46729, 16144, 48915, 16556, 53508, 231, 104195, 120837, 33503, 30297, 105335, 106696, 120332, 29295, 70141, 102532, 30369, 32149, 106046, 61689, 9174, 14711, 220, 126892, 113228, 111331, 45829, 110792, 114300, 106106, 29295, 118765, 198, 105994, 16556, 64467, 106839, 114475, 105784, 105879, 106548, 24273, 119703, 42891, 104702, 106548, 24273, 119703, 116233, 29295, 5486, 59657, 122, 115226, 20230, 41642, 112586, 80988, 239, 105714, 113017, 45829, 125001, 107515, 105879, 5486, 114300, 106106, 64209, 16144, 101182, 45829, 71289, 16, 17792, 118816, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 33563, 38144, 100604, 45829, 102052, 114715, 15024, 124592, 118544, 110241, 33121, 107515, 9174, 14711, 220, 49412, 96, 32386, 247, 35330, 29295, 126574, 110229, 29295, 127181, 198, 108695, 105352, 105755, 33541, 29295, 110745, 46034, 110162, 118816, 118006, 100927, 104599, 15682, 104405, 120837, 42506, 35330, 29295, 45736, 115737, 76947, 114732, 110229, 29295, 127181, 38641, 9174, 90620, 121270, 102052, 110219, 16144, 59657, 122, 19732, 112361, 120264, 32149, 5486, 101182, 16995, 15682, 77693, 88852, 16144, 110229, 32977, 57903, 33541, 9174, 110924, 15682, 5486, 118006, 100927, 104599, 30512, 27704, 109315, 104983, 20230, 21105, 96, 107277, 91774, 110993, 109315, 109215, 115991, 33541, 9174, 567, 220, 22, 13, 107289, 16073, 118372, 118006, 100927, 104599, 16144, 39850, 37823, 67075, 198, 110191, 118372, 118006, 100927, 104599, 16144, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 112606, 112, 32938, 30512, 99397, 124059, 116414, 55031, 72661, 108608, 198, 119560, 110758, 34171, 16144, 126521, 105408, 30512, 102647, 102802, 126172, 16995, 198, 126892, 49854, 122, 28190, 118816, 126238, 105714, 21105, 94, 101668, 30297, 45829, 102052, 127066, 198, 49412, 96, 103241, 245, 127814, 33121, 21105, 103, 16995, 198, 14711, 220, 118075, 112606, 112, 32938, 30512, 99397, 124059, 116414, 55031, 72661, 108608, 198, 118006, 100927, 104599, 71289, 59657, 122, 30512, 71289, 103950, 19732, 113727, 100934, 48154, 118006, 107809, 102052, 5486, 116245, 29295, 103449, 55031, 110596, 102518, 31431, 5486, 106848, 120332, 118816, 13177, 60358, 47884, 20230, 59657, 122, 119703, 59712, 118006, 100927, 104599, 16144, 105408, 32977, 16995, 100604, 10646, 104309, 16556, 53508, 231, 104195, 28190, 16144, 103359, 105226, 30512, 18655, 110615, 24273, 32977, 16995, 33503, 42891, 116826, 61689, 9174, 110191, 118372, 118006, 100927, 104599, 118816, 58426, 101128, 102, 64121, 15682, 15120, 112661, 16556, 50338, 104662, 125545, 101832, 9174, 85701, 15682, 5486, 110191, 118372, 118006, 100927, 104599, 126636, 112495, 39850, 37823, 67075, 38641, 9174, 14711, 220, 119560, 110758, 34171, 16144, 126521, 105408, 30512, 102647, 102802, 126172, 16995, 198, 110191, 118372, 64467, 106839, 16144, 107803, 5486, 105408, 16144, 101987, 104127, 30369, 116245, 30512, 95221, 117657, 109215, 32977, 123733, 31431, 33541, 105879, 5486, 105408, 16144, 103760, 9039, 29295, 62004, 104702, 47884, 104702, 115079, 58942, 33541, 9174, 26854, 105879, 36896, 106848, 20230, 101987, 104127, 30369, 107493, 105408, 110792, 50021, 34171, 15682, 27384, 30926, 20230, 56051, 16995, 10646, 24273, 102052, 2243, 112, 100472, 31431, 38641, 9174, 14711, 220, 126892, 49854, 122, 28190, 118816, 126238, 105714, 21105, 94, 101668, 30297, 45829, 102052, 127066, 198, 47260, 119263, 78683, 102663, 38248 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9174, 567, 220, 19, 13, 122973, 108638, 59657, 122, 16144, 68408, 39850, 37823, 67075, 198, 43167, 108638, 59657, 122, 16144, 68408, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 108350, 17920, 236, 29295, 78183, 126469, 100604, 19732, 59739, 16995, 100481, 124324, 198, 119560, 220, 118765, 124863, 91774, 15017, 101, 38144, 110071, 198, 126892, 116814, 122, 16144, 99695, 61398, 20230, 114146, 30369, 109215, 107407, 198, 49412, 96, 42579, 123, 104482, 29295, 127181, 198, 49412, 97, 110453, 119, 118095, 20230, 107059, 22398, 29295, 124500, 30369, 107803, 107407, 198, 14711, 220, 118075, 108350, 17920, 236, 29295, 78183, 126469, 100604, 19732, 59739, 16995, 100481, 124324, 198, 104575, 16144, 53508, 231, 104195, 29295, 110674, 105110, 100604, 121894, 77181, 5486, 43167, 108638, 59657, 122, 32977, 112672, 59739, 16995, 100481, 76622, 107515, 9174, 26854, 105879, 5486, 67645, 112384, 32149, 102677, 19732, 198, 13177, 24186, 104680, 53508, 231, 104195, 29295, 103082, 125655, 45829, 10646, 71289, 34226, 109020, 106826, 103830, 122060, 30512, 103192, 104127, 30369, 45829, 105321, 32149, 29295, 43167, 108638, 59657, 122, 102052, 127181, 38641, 9174, 14711, 220, 119560, 220, 118765, 124863, 91774, 15017, 101, 38144, 110071, 198, 43167, 108638, 59657, 122, 15682, 27384, 116875, 44971, 115882, 113468, 107059, 22398, 17620, 76622, 29295, 84389, 100481, 38144, 5486, 20251, 103830, 107059, 22398, 117255, 15682, 102472, 125057, 16073, 53508, 231, 104195, 30512, 109134, 105879, 103192, 102189, 113702, 125334, 126172, 16995, 38641, 9174, 119627, 5486, 116900, 20230, 198, 15120, 87217, 17297, 16144, 107059, 22398, 117084, 114604, 45829, 105321, 32149, 15682, 5486, 112179, 30369, 17129, 124527, 20230, 27699, 116, 126469, 105465, 106624, 125338, 15682, 107991, 29295, 5486, 113702, 32977, 30591, 109709, 16556, 101860, 5486, 113202, 78183, 106644, 30369, 118133, 65854, 98369, 10646, 121894, 117084, 103801, 61689, 9174, 51330, 115195, 16144, 109335, 43167, 108638, 59657, 122, 16144, 108008, 20230, 57207, 91482, 39880, 26854, 110229, 125651, 9174, 14711, 220, 126892, 116814, 122, 16144, 99695, 61398, 20230, 114146, 30369, 109215, 107407, 198, 53508, 231, 104195, 16144, 99695, 61398, 114556, 120837, 5486, 59657, 122, 16144, 18904, 9039, 71289, 105343, 107792, 114341, 108710, 104309, 5486, 39135, 104680, 26854, 28190, 16556, 48154, 118006, 29295, 59657, 122, 20230, 114146, 30369, 107507, 101198, 94550, 29295, 127181, 38641, 9174, 103721, 108, 31431, 104196, 15024, 102052, 26854, 31431, 33541, 29295, 5486, 43167, 108638, 59657, 122, 109156, 113017, 121240, 198, 30832, 105888, 76947, 13177, 123331, 101682, 111186, 59712, 111108, 97518, 101467, 101682, 111186, 10646, 104309, 122603, 16995, 30832, 105888, 114792, 100472, 45829, 29295, 127181, 38641, 9174, 120550, 104533, 77693, 26854, 112586, 103856, 16995, 99695, 61398, 16556, 53508, 231, 104195, 30512, 103130, 107436, 5486, 121771, 115867, 53508, 231, 104195, 33857, 30512, 22957, 26854, 17663, 109215, 115991, 33541, 105879, 5486, 59657, 122, 20230, 114146, 30369, 76947, 123017, 106548, 24273, 119703, 42891, 104702, 106548, 24273, 119703, 107118, 91763, 61689, 9174, 26854, 105879, 5486, 101682, 117295, 113009, 91875, 102532, 47884, 115032, 59657, 122, 110366, 20230, 49988, 72342, 110071, 105879, 30591, 104984, 49988, 127397, 33334, 102334, 118881, 29295, 5486, 105755, 104712, 113702, 29295, 103192, 109315, 32149, 106046, 61689, 9174, 14711, 220, 49412, 96, 42579, 123, 104482, 29295, 127181, 198, 66378, 20230, 123331, 101682, 111186, 16144, 43167, 108638, 59657, 122, 20230, 127181, 112973, 5486, 102717, 127842, 20230, 198, 62004, 104702, 47884, 104702, 109249, 104482, 125334, 30369, 102677, 100909, 38641, 9174, 104575, 16144, 109249, 104482, 19732, 57326, 112718, 107908, 104774, 16556, 107188, 111331, 33857, 29295, 59657, 122, 55031, 20834, 33541, 15024, 5486, 43167, 108638, 59657, 122, 15682, 118430, 118095, 20230, 59657, 122, 32943, 57933, 71634, 115991, 33541, 105879, 108048, 16144, 103359, 105226, 32977, 21105, 103, 47884, 38144, 112987, 76622, 107515, 9174, 85701, 29295, 13177, 27384, 104721, 102131, 1131, 59712, 22957, 26854, 122101, 37026, 22023, 119703, 1131, 59712, 104575, 16144, 109249, 104482, 32977, 118765, 39177, 107407, 10646, 105933, 124863, 37656, 74245, 115200, 47884, 109020, 103378, 26854, 105879, 71289, 107436, 33334, 102334, 24273, 29295, 104712, 38641, 9174, 53508, 231, 104195, 29295, 24186, 104680, 120111, 16556, 5486, 37026, 102404, 112535, 71289, 113017, 45829, 105321, 32149, 102052, 70141, 119188, 106046, 61689, 9174, 14711, 220, 49412, 97, 110453, 119, 118095, 20230, 107059, 22398, 29295, 124500, 30369, 107803, 107407, 198, 118430, 118095, 120650, 126832, 101467, 32943, 54872, 106081, 71289, 59657, 122, 32943, 57933, 71634, 123160, 113702, 113468, 107059, 22398, 29295, 124500, 30369, 105908, 57903, 33541, 9174, 85701, 32977, 5486, 107059, 22398, 107809, 16556, 115274, 109904, 48864, 48634, 117255, 15682, 110924, 103296, 107059, 22398, 122489, 15682, 124897, 29295, 5486, 17905, 25129, 107059, 22398, 19732, 17297, 25129, 107059, 22398, 107809, 56965, 120264, 16144, 48864, 48634, 117255, 118816, 5486, 118430, 118095, 20230, 107059, 22398, 29295, 124500, 76947, 103801, 16995, 109972, 106529, 108176, 115789, 57903, 33541, 9174, 567, 220, 20, 13, 111279, 107983, 100927, 104599, 16144, 39850, 37823, 67075, 198, 118006, 100927, 104599, 16144, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 111279, 113245, 53508, 231, 104195, 16144, 108710, 101557, 96, 29295, 96356, 20230, 47000, 47884, 198, 119560, 59363, 107263, 20230, 114146, 28713, 64467, 106839, 29295, 101682, 76622, 110071, 198, 126892, 113040, 56965, 16144, 106075, 33035, 29295, 126120, 50834, 126172, 16995, 198, 49412, 96, 120616, 21990, 29295, 109749, 55031, 60868, 103672, 110615, 198, 14711, 220, 118075, 111279, 113245, 53508, 231, 104195, 16144, 108710, 101557, 96, 29295, 96356, 20230, 47000, 47884, 198, 59657, 122, 118816, 120953, 120837, 46729, 16556, 53508, 231, 104195, 30512, 21105, 103, 47884, 109020, 101427, 122, 70141, 115991, 33541, 9174, 13177, 59657, 122, 120650, 113017, 55031, 104712, 104446, 25827, 111329, 13177, 109249, 104482, 15682, 37026, 108710, 102452, 16556, 111587, 105823, 28713, 55031, 46729, 77181, 99849, 32977, 71289, 110104, 111329, 123160, 114667, 16556, 5486, 127032, 29295, 46729, 16556, 53508, 231, 104195, 30512, 103792, 110783, 104088, 28713, 100909, 100604, 102677, 71174, 15682, 108008, 20230, 43240, 47884, 108870, 20230, 78434, 9174, 58426, 28542, 118006, 100927, 104599, 118816, 5486, 27929, 32977, 27929, 32977, 29295, 46729, 16556, 53508, 231, 104195, 123410, 108710, 101557, 96, 116825, 105784, 112973, 30832, 112535, 57903, 33541, 105879, 5486, 118006, 48864, 108710, 16144, 108710, 101557, 96, 29295, 59739, 47884, 104468, 39850, 37823, 67075, 125651, 9174, 14711, 220, 119560, 59363, 107263, 20230, 114146, 28713, 64467, 106839, 29295, 101682, 76622, 110071, 198, 118006, 100927, 104599, 15682, 106116, 45829, 20230, 114146, 28713, 64467, 106839, 29295, 101682, 76622, 110071, 105879, 5486, 27452, 116285, 16937, 29741, 101467, 16556, 21105, 108, 124749, 104575, 120650, 107441, 104435, 33334, 45829, 98369, 103351, 31431, 5486, 48864, 108710, 108502, 104698, 16556, 70203, 9039, 29295, 107202, 46034, 103351, 31431, 5486, 39135, 104680, 126738, 45829, 115867, 115517, 20230, 114146, 28713, 64467, 106839, 29295, 101682, 76622, 110071, 102677, 104468, 118006, 100927, 104599, 126636, 112495, 39850, 37823, 67075, 125651, 9174, 14711, 220, 126892, 113040, 56965, 16144, 106075, 33035, 29295, 126120, 50834, 126172, 16995, 198, 127134, 124180, 71289, 108710, 16995, 30926, 104309, 16556, 124563, 107188, 32149, 104662, 117864, 121914, 71289, 82973, 30512, 35894, 76622, 102204, 100604, 45829, 105321, 32149, 15682, 5486, 82973, 71289, 110195, 117073, 106075, 33035, 29295, 126120, 50834, 126172, 16995, 105879, 118006, 100927, 104599, 119279, 125683, 62004, 38641, 9174, 59657, 122, 118816, 13177, 80699, 110195, 15682, 118687, 16556, 35330, 110195, 15682, 114654, 16556, 66383, 111017, 19732, 124108, 117084, 103801, 61689, 29295, 5486, 118006, 100927, 104599, 16144, 126513, 48154, 118006, 19732, 105408, 110792, 103911, 23187, 30512, 17663, 31431, 114146, 38144, 33671, 16144, 64467, 106839, 9080, 30512, 104662, 62004, 33541, 9174, 26854, 105879, 36896, 37271, 111299, 15682, 80699, 110195, 117816, 37507, 111243, 33503, 30297, 107493, 5486, 37507, 111299, 15682, 80699, 121914, 29295, 103911, 23187, 101182, 105879, 53610, 121914, 116446, 10646, 115226, 26854, 105908, 125545, 9174, 14711, 220, 49412, 96, 120616, 21990, 29295, 37507, 30369, 55031, 60868, 103672, 110615, 198, 59657, 122, 118816, 13177, 110589, 15682, 59657, 122, 23039, 105898, 47884, 100604, 55031, 105677, 104004, 66383, 125545, 29295, 5486, 118006, 100927, 104599, 15682, 105408, 29295, 46729, 20230, 37507, 38144, 124089, 105879, 124563, 107188, 32149, 102131, 95604, 109335, 103082, 107515, 9174, 53900, 5486, 115681, 112535, 105408, 29295, 109749, 102677, 109335, 5486, 33035, 59657, 122, 16144, 46034, 56965, 32977, 66870, 76622, 33541, 15024, 5486, 82973, 9554, 105352, 89783, 116664, 125334, 38144, 50834, 33541, 9174, 567, 220, 21, 13, 111279, 107983, 100927, 104599, 16144, 68408, 39850, 37823, 67075, 198, 118006, 100927, 104599, 16144, 68408, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 102542, 109, 20230, 99849, 18904, 32977, 109134, 104468, 111108, 102800, 198, 119560, 102362, 113468, 15682, 95221, 127814, 33121, 54926, 198, 126892, 113228, 111331, 45829, 110792, 114300, 106106, 29295, 118765, 198, 49412, 96, 32386, 247, 35330, 29295, 126574, 110229, 29295, 127181, 198, 14711, 220, 118075, 102542, 109, 20230, 99849, 18904, 32977, 109134, 104468, 111108, 102800, 198, 59657, 122, 118816, 5486, 111299, 34617, 56040, 19, 18904, 19732, 121771, 98369, 71289, 113017, 126465, 32977, 114652, 57903, 33541, 29295, 5486, 118006, 20230, 105408, 125334, 70141, 47884, 102677, 118006, 100927, 104599, 16144, 34171, 105284, 17905, 13177, 111299, 20230, 99849, 27479, 32977, 66383, 95604, 104468, 111108, 106624, 26854, 76947, 103801, 61689, 9174, 102667, 21990, 16144, 105408, 105110, 5486, 102667, 16144, 71493, 37823, 123283, 32131, 91062, 71289, 127177, 66953, 78983, 16144, 103911, 23187, 110745, 107707, 105408, 16556, 106966, 101275, 16556, 118006, 100927, 104599, 30512, 71289, 113017, 24273, 105110, 22656, 101275, 16144, 117876, 16144, 103911, 23187, 104309, 32977, 21601, 103868, 54926, 109215, 115991, 33541, 9174, 53900, 5486, 118006, 100927, 104599, 15682, 18904, 9039, 30512, 115079, 126172, 19732, 42506, 35330, 29295, 115442, 107462, 47884, 105879, 5486, 106382, 11883, 109904, 28190, 72661, 111299, 20230, 99849, 27479, 32977, 64467, 106839, 114475, 105784, 102677, 104468, 111108, 102800, 125651, 9174, 14711, 220, 119560, 102362, 113468, 15682, 95221, 127814, 33121, 54926, 198, 121410, 111299, 46729, 20230, 17792, 30512, 122765, 33541, 55031, 5486, 37507, 30369, 112772, 19012, 225, 21418, 126198, 31431, 5486, 105408, 19732, 38093, 87177, 126198, 31431, 108948, 108104, 15682, 121406, 125231, 32149, 20834, 30813, 103470, 111243, 104712, 104865, 497, 19732, 78698, 107800, 31431, 54926, 112973, 107202, 26854, 24273, 32977, 16995, 104533, 91763, 61689, 9174, 102131, 95604, 24273, 16144, 126513, 118006, 100927, 104599, 104446, 103470, 38144, 5486, 59657, 122, 104309, 16556, 46729, 16144, 48915, 16556, 53508, 231, 104195, 120837, 33503, 30297, 105335, 106696, 120332, 29295, 70141, 102532, 30369, 32149, 106046, 61689, 9174, 14711, 220, 126892, 113228, 111331, 45829, 110792, 114300, 106106, 29295, 118765, 198, 105994, 16556, 64467, 106839, 114475, 105784, 105879, 106548, 24273, 119703, 42891, 104702, 106548, 24273, 119703, 116233, 29295, 5486, 59657, 122, 115226, 20230, 41642, 112586, 80988, 239, 105714, 113017, 45829, 125001, 107515, 105879, 5486, 114300, 106106, 64209, 16144, 101182, 45829, 71289, 16, 17792, 118816, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 33563, 38144, 100604, 45829, 102052, 114715, 15024, 124592, 118544, 110241, 33121, 107515, 9174, 14711, 220, 49412, 96, 32386, 247, 35330, 29295, 126574, 110229, 29295, 127181, 198, 108695, 105352, 105755, 33541, 29295, 110745, 46034, 110162, 118816, 118006, 100927, 104599, 15682, 104405, 120837, 42506, 35330, 29295, 45736, 115737, 76947, 114732, 110229, 29295, 127181, 38641, 9174, 90620, 121270, 102052, 110219, 16144, 59657, 122, 19732, 112361, 120264, 32149, 5486, 101182, 16995, 15682, 77693, 88852, 16144, 110229, 32977, 57903, 33541, 9174, 110924, 15682, 5486, 118006, 100927, 104599, 30512, 27704, 109315, 104983, 20230, 21105, 96, 107277, 91774, 110993, 109315, 109215, 115991, 33541, 9174, 567, 220, 22, 13, 107289, 16073, 118372, 118006, 100927, 104599, 16144, 39850, 37823, 67075, 198, 110191, 118372, 118006, 100927, 104599, 16144, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 112606, 112, 32938, 30512, 99397, 124059, 116414, 55031, 72661, 108608, 198, 119560, 110758, 34171, 16144, 126521, 105408, 30512, 102647, 102802, 126172, 16995, 198, 126892, 49854, 122, 28190, 118816, 126238, 105714, 21105, 94, 101668, 30297, 45829, 102052, 127066, 198, 49412, 96, 103241, 245, 127814, 33121, 21105, 103, 16995, 198, 14711, 220, 118075, 112606, 112, 32938, 30512, 99397, 124059, 116414, 55031, 72661, 108608, 198, 118006, 100927, 104599, 71289, 59657, 122, 30512, 71289, 103950, 19732, 113727, 100934, 48154, 118006, 107809, 102052, 5486, 116245, 29295, 103449, 55031, 110596, 102518, 31431, 5486, 106848, 120332, 118816, 13177, 60358, 47884, 20230, 59657, 122, 119703, 59712, 118006, 100927, 104599, 16144, 105408, 32977, 16995, 100604, 10646, 104309, 16556, 53508, 231, 104195, 28190, 16144, 103359, 105226, 30512, 18655, 110615, 24273, 32977, 16995, 33503, 42891, 116826, 61689, 9174, 110191, 118372, 118006, 100927, 104599, 118816, 58426, 101128, 102, 64121, 15682, 15120, 112661, 16556, 50338, 104662, 125545, 101832, 9174, 85701, 15682, 5486, 110191, 118372, 118006, 100927, 104599, 126636, 112495, 39850, 37823, 67075, 38641, 9174, 14711, 220, 119560, 110758, 34171, 16144, 126521, 105408, 30512, 102647, 102802, 126172, 16995, 198, 110191, 118372, 64467, 106839, 16144, 107803, 5486, 105408, 16144, 101987, 104127, 30369, 116245, 30512, 95221, 117657, 109215, 32977, 123733, 31431, 33541, 105879, 5486, 105408, 16144, 103760, 9039, 29295, 62004, 104702, 47884, 104702, 115079, 58942, 33541, 9174, 26854, 105879, 36896, 106848, 20230, 101987, 104127, 30369, 107493, 105408, 110792, 50021, 34171, 15682, 27384, 30926, 20230, 56051, 16995, 10646, 24273, 102052, 2243, 112, 100472, 31431, 38641, 9174, 14711, 220, 126892, 49854, 122, 28190, 118816, 126238, 105714, 21105, 94, 101668, 30297, 45829, 102052, 127066, 198, 47260, 119263, 78683, 102663, 38248 ]
[ 115, 78205, 16073, 30512, 19732, 30369, 112973, 107202, 46034, 26854, 45829, 32977, 16325, 102052, 16995, 33503, 42891, 116826, 61689, 9174, 102131, 95604, 45829, 105321, 32149, 118816, 36896, 110191, 118372, 103351, 33503, 108064, 32977, 126036, 83601, 233, 104028, 101200, 110276, 76864, 76947, 124863, 127181, 38641, 9174, 14711, 220, 49412, 96, 103241, 245, 127814, 33121, 21105, 103, 16995, 198, 118006, 100927, 104599, 19732, 110191, 118372, 118006, 100927, 104599, 126636, 112495, 121953, 15682, 13177, 95221, 127814, 33121, 10646, 20230, 57903, 33541, 9174, 121410, 18904, 105408, 29295, 37507, 30369, 112772, 19012, 225, 21418, 30512, 39926, 108948, 108104, 30512, 20834, 102131, 32149, 104405, 119607, 32149, 1131, 19732, 78698, 105262, 109215, 29295, 110191, 118372, 118816, 123733, 31431, 33541, 9174, 114754, 46729, 20230, 37507, 30369, 104468, 120065, 1131, 76947, 24273, 15682, 110191, 118372, 118006, 100927, 104599, 116446, 64121, 30369, 123017, 46034, 32149, 110241, 33121, 107515, 9174, 567, 220, 23, 13, 107289, 16073, 118372, 118006, 100927, 104599, 16144, 68408, 39850, 37823, 67075, 198, 110191, 118372, 118006, 100927, 104599, 16144, 68408, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 123038, 91763, 16144, 101734, 236, 33035, 29295, 108167, 109669, 110706, 198, 119560, 109359, 22023, 108502, 104698, 112212, 64467, 106839, 29295, 22398, 91062, 106240, 20230, 103130, 17129, 100604, 39177, 107407, 198, 126892, 120174, 111186, 108134, 29295, 17701, 76947, 50834, 109669, 110706, 198, 49412, 96, 116325, 106839, 30512, 60868, 103672, 33121, 104702, 30297, 198, 14711, 220, 118075, 123038, 91763, 16144, 101734, 236, 33035, 29295, 108167, 109669, 110706, 198, 64467, 106839, 15682, 91482, 68408, 90962, 33035, 87177, 16556, 23039, 30297, 105879, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 108167, 109669, 110706, 102677, 104468, 68408, 39850, 37823, 67075, 112028, 59739, 38641, 9174, 26854, 105879, 5486, 108064, 102944, 38093, 87177, 126036, 126390, 105714, 76947, 5486, 96356, 123927, 46034, 123927, 30512, 119448, 47884, 54926, 109215, 115991, 33541, 9174, 53900, 115847, 15682, 105408, 109054, 45923, 16144, 71289, 31431, 109669, 33503, 30813, 119627, 5486, 21990, 107263, 16144, 46034, 24186, 29295, 91774, 119841, 105879, 13177, 78183, 32149, 113017, 124233, 126469, 100604, 32149, 59712, 116414, 16556, 101198, 22398, 30512, 103792, 104865, 59712, 116414, 16556, 101128, 102, 104127, 46034, 29295, 82533, 17129, 113017, 104865, 10646, 29295, 122225, 21105, 98, 110706, 38641, 9174, 108895, 95604, 28542, 107407, 105879, 5486, 114640, 16144, 101734, 236, 33035, 102677, 28190, 77181, 117032, 16144, 118006, 100927, 104599, 120332, 29295, 37656, 74245, 71289, 31431, 126172, 16995, 107118, 91763, 61689, 9174, 14711, 220, 119560, 109359, 22023, 108502, 104698, 112212, 64467, 106839, 29295, 22398, 91062, 106240, 20230, 103130, 17129, 100604, 39177, 107407, 198, 48154, 118006, 110366, 19732, 105408, 110366, 16144, 101721, 103682, 16144, 104873, 45829, 29295, 109161, 16995, 19732, 28713, 102802, 28713, 102802, 118597, 108502, 104698, 29295, 72718, 50834, 30369, 105908, 57903, 33541, 9174, 77693, 113468, 105047, 20230, 55723, 28190, 29295, 107608, 17129, 76947, 103801, 76947, 5486, 108968, 16325, 16556, 64467, 106839, 29295, 16325, 64889, 39926, 114732, 126465, 32977, 57903, 33541, 9174, 14711, 220, 126892, 120174, 111186, 108134, 29295, 17701, 76947, 50834, 109669, 110706, 198, 110191, 118372, 118006, 100927, 104599, 16144, 107803, 5486, 110191, 118372, 16556, 13177, 78183, 124403, 110229, 30512, 100927, 105262, 10646, 112973, 105194, 235, 105194, 238, 103868, 101983, 113017, 105879, 5486, 101682, 111186, 50021, 111813, 103351, 31431, 29295, 30591, 109709, 103082, 107515, 9174, 26854, 112371, 32149, 102677, 19732, 5486, 110191, 118372, 15682, 116245, 30512, 102647, 81219, 101860, 116414, 20230, 102532, 32977, 108608, 112973, 39850, 37823, 67075, 16556, 5486, 116900, 20230, 95604, 19732, 105408, 32977, 116414, 20230, 102532, 32977, 64467, 106839, 29295, 108608, 9174, 59739, 109709, 123085, 111717, 116414, 103296, 72661, 46034, 108285, 47884, 103082, 104702, 30297, 113334, 26854, 105879, 123213, 34048, 16144, 108695, 120332, 32977, 89753, 102465, 20230, 13177, 2618, 72368, 45893, 102697, 72099, 37087, 38144, 16144, 101682, 111186, 108134, 30512, 105550, 108327, 76864, 114016, 109335, 126843, 16937, 88367, 38641, 9174, 26854, 105879, 5486, 101682, 111186, 21990, 16556, 13177, 101682, 111186, 16144, 115789, 100927, 107290, 111654, 102800, 76864, 76947, 24273, 102052, 30591, 109709, 70141, 102532, 107515, 9174, 110904, 116254, 20230, 13177, 53508, 231, 104195, 30512, 100927, 107290, 111654, 102800, 10646, 76947, 113173, 105110, 37087, 61994, 104712, 106046, 61689, 9174, 14711, 220, 49412, 96, 116325, 106839, 30512, 60868, 103672, 33121, 104702, 30297, 198, 110191, 118372, 118006, 100927, 104599, 15682, 105408, 29295, 46729, 20230, 37507, 30369, 113334, 110034, 105879, 5486, 37689, 48915, 19732, 112825, 110904, 20230, 64467, 106839, 30512, 60868, 103672, 33121, 104702, 61689, 9174, 26854, 105879, 5486, 60868, 103672, 31431, 23706, 244, 107407, 45829, 71289, 96452, 112164, 22398, 115717, 29295, 43514, 26854, 121240, 126513, 103350, 104983, 20230, 50834, 111243, 33503, 30297, 118006, 100927, 104599, 120332, 29295, 104712, 32149, 110241, 33121, 107515, 9174, 567, 220, 24, 13, 107301, 59657, 122, 9458, 118006, 100927, 104599, 36761, 109431, 34171, 120761, 64889, 198, 51330, 104466, 5486, 59657, 122, 71289, 118006, 100927, 104599, 15682, 39850, 37823, 67075, 32977, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 9174, 33334, 45829, 115867, 127749, 113468, 5486, 2243, 112, 100472, 111331, 103359, 105226, 15682, 108901, 26854, 76947, 50834, 33541, 9174, 90620, 108048, 30512, 122225, 54926, 16144, 76947, 37656, 74245, 13177, 125338, 64121, 100604, 19732, 10646, 78183, 124403, 38641, 123794, 9174, 72661, 5486, 103359, 105226, 30512, 16995, 112495, 31431, 18655, 30369, 104468, 33334, 35330, 32977, 32149, 107277, 33541, 15024, 112997, 29220, 115991, 33541, 123794, 9174, 110924, 16556, 5486, 103350, 104983, 20230, 59657, 122, 19732, 118006, 100927, 104599, 30512, 106613, 111186, 103792, 86127, 29295, 115515, 112197, 45829, 115867, 127749, 118816, 99849, 16144, 103359, 105226, 30512, 102647, 104369, 103854, 112495, 104865, 5486, 109431, 34171, 120761, 64889, 103223, 64178, 126694, 31431, 79721, 9174, 20, 99397, 23897, 32943, 16556, 113925, 125334, 30369, 101200, 101983, 113017, 105879, 5486, 57980, 102518, 33503, 33655, 76947, 64121, 38144, 72315, 9174, 100437, 11144, 44597, 47018, 16556, 120761, 64889, 11199, 102159, 103283, 59657, 122, 9458, 43167, 108638, 59657, 122, 9458, 118006, 100927, 104599, 117093, 30591, 112568, 121254, 102532, 30369, 104468, 67645, 33121, 95532, 48, 17, 13, 104575, 16144, 107141, 101275, 102052, 59739, 16995, 100481, 107441, 33541, 32149, 11571, 119869, 20230, 114941, 30369, 198, 48, 18, 13, 104575, 16144, 107141, 101275, 102052, 59739, 16995, 100481, 107441, 33541, 32149, 11571, 119869, 20230, 114941, 30369, 198, 48, 19, 13, 57933, 71634, 53508, 231, 104195, 15682, 114392, 20230, 103082, 127280, 32149, 11571, 119869, 20230, 114941, 30369, 198, 30591, 112568, 107898, 125683, 62004, 26854, 104468, 90578, 827, 107301, 43167, 108638, 59657, 122, 36761, 38641, 32351, 119869, 20230, 114941, 30369, 198, 68431, 117826, 107734, 59657, 122, 114341, 104599, 16144, 30297, 30813, 105557, 105408, 29295, 13177, 103633, 105065, 72099, 32943, 16556, 33334, 125683, 62004, 16144, 59657, 122, 118587, 126362, 106609, 827, 107301, 102159, 103283, 59657, 122, 36761, 38641, 32351, 119869, 20230, 114941, 30369, 198, 827, 107301, 118006, 100927, 104599, 36761, 38641, 32351, 119869, 20230, 114941, 30369, 198, 68431, 117826, 107734, 118006, 100927, 104599, 16144, 30297, 30813, 105557, 105408, 29295, 13177, 103633, 105065, 72099, 32943, 16556, 33334, 125683, 62004, 16144, 118006, 100927, 104599, 118587, 126362, 106609, 30591, 110027, 38144, 98499, 115226, 198, 30297, 30813, 105557, 105408, 16144, 107420, 106384, 64178, 198, 107430, 101275, 1131, 59657, 122, 114341, 104599, 9458, 118006, 100927, 104599, 198, 10110, 59657, 122, 114341, 104599, 114172, 605, 8107, 14, 118006, 100927, 104599, 114172, 717, 8107, 23954, 59657, 122, 71289, 118006, 100927, 104599, 30512, 102647, 104369, 104983, 20230, 40526, 47260, 101198, 71289, 107624, 106053, 30512, 104873, 115694, 64121, 111243, 198, 102971, 91077, 102181, 102532, 101182, 44915, 15682, 116414, 32977, 112361, 9174, 77693, 105110, 86127, 29295, 116907, 16144, 106613, 111186, 30512, 32977, 19732, 20230, 19967, 42891, 104702, 58942, 106609, 76947, 118733, 51330, 116229, 126694, 31431, 79721, 1811, 128001, 128000, 13177, 45736, 106036, 95, 30046, 110276, 33503, 5486, 103242, 109519, 106382, 15682, 114485, 30369, 76864, 198, 107943, 113146, 15682, 105721, 116547, 33541, 106609, 64121, 26854, 117940, 5486, 112599, 16144, 102433, 16144, 103242, 109519, 106382, 114305, 30512, 5486, 67645, 16144, 120264, 113954, 127145, 32149, 95532, 45736, 106036, 95, 112919, 103242, 109519, 106382, 111476, 99849, 111017, 30512, 109972, 106529, 54926, 104865, 114225, 20230, 103899, 58942, 102204, 33541, 32149, 95532, 13177, 36785, 102334, 16995, 20713, 111017, 109972, 106529, 16556, 124304, 91006, 104309, 106046, 107462, 107515, 32149, 95532, 122270, 37271, 74482, 5486, 103242, 109519, 106382, 29295, 104405, 26854, 107462, 47884, 104865, 5486, 21105, 96, 107277, 102178, 111665, 127145, 32149, 95532, 103242, 109519, 106382, 19732, 43568, 116690, 124911, 114016, 116898, 107515, 123794, 9174, 97049, 30512, 18655, 110104, 114516, 125001, 100604, 104466, 112160, 27479, 32977, 103429, 95221, 101983, 110104, 17792, 105321, 100481, 107515, 9174, 22656, 77219, 77181, 13177, 45736, 106036, 95, 112919, 103242, 109519, 106382, 76947, 37271, 15682, 104405, 26854, 103836, 16144, 11571, 37271, 74482, 15682, 104405, 26854, 107462, 119064, 91006, 102677, 107750, 99397, 20230, 50338, 104662, 17663, 103854, 47884, 5486, 88852, 120950, 28542, 30512, 104356, 114267, 48154, 122984, 30512, 109768, 50834, 33541, 9174, 12, 117826, 19000, 16144, 103242, 109519, 106382, 16144, 114305, 109853, 198, 12, 116564, 74482, 113727, 110071, 114305, 16144, 23226, 37656, 198, 12, 124908, 109519, 106382, 16144, 107792, 103664, 41007, 198, 12, 220, 58426, 113009, 109215, 26854, 100909, 198, 103350, 15682, 122603, 106036, 95, 30046, 127303, 114598, 115515, 103296, 19732, 112361, 104466, 103242, 109519, 106382, 30512, 109972, 106529, 21105, 103, 118145, 105110, 100604, 113146, 15682, 5486, 108031, 114225, 110924, 103296, 37507, 127280, 9174, 107943, 113146, 20230, 104874, 107290, 115408, 104067, 121568, 20230, 106084, 30369, 100909, 26854, 104127, 109954, 95532, 110904, 116254, 119627, 108048, 15682, 13177, 198, 113614, 16556, 107991, 100909, 10646, 111769, 112130, 95532, 122571, 106116, 112258, 113, 30512, 111665, 30369, 112973, 13177, 198, 104473, 107654, 10646, 103195, 19732, 113727, 33541, 9174, 22656, 77219, 29295, 5486, 112073, 98369, 32977, 113614, 111363, 37689, 109375, 30512, 45736, 62004, 5486, 35330, 103842, 255, 9554, 105352, 113116, 9554, 105352, 89783, 116664, 114792, 100472, 92877, 74482, 37705, 30369, 124122, 5486, 103983, 105564, 104856, 104028, 106592, 112622, 61689, 9174, 92877, 123470, 104874, 58942, 15682, 2118, 198, 111006, 863, 55031, 6447, 111006, 16144, 104874, 58942, 15682, 2118, 108477, 255, 104127, 863, 55031, 106609, 30832, 33671, 198, 567, 220, 20713, 117826, 19000, 16144, 103242, 109519, 114305, 15682, 95532, 61826, 104680, 16144, 87177, 123410, 112772, 5486, 112599, 16144, 103242, 109519, 106382, 114305, 109853, 48154, 122984, 78434, 9174, 14711, 124908, 109519, 106382, 16144, 102099, 109972, 106529, 111017, 40862, 109853, 198, 77181, 112599, 16144, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 109518, 15682, 5486, 102208, 112425, 67645, 16144, 120264, 46456, 124237, 30297, 105879, 109954, 32149, 95532, 112425, 48154, 110792, 111017, 40862, 15682, 5486, 88852, 16144, 19732, 108086, 38641, 9174, 12, 220, 2075, 97049, 71689, 52118, 20713, 111017, 109972, 106529, 10110, 74482, 23538, 45736, 106036, 95, 103242, 109519, 33563, 117126, 124259, 125174, 109913, 78183, 30369, 23954, 12, 220, 66224, 27113, 56040, 66224, 46702, 97049, 52118, 25963, 111017, 109972, 106529, 198, 12, 220, 66224, 27113, 97049, 39442, 112624, 52118, 34617, 111017, 109972, 106529, 198, 12, 220, 60596, 97049, 39442, 112624, 10110, 104577, 102781, 104378, 81258, 48864, 25580, 7705, 52118, 25963, 111017, 109972, 106529, 198, 679, 22, 8107, 104149, 17129, 77181, 110371, 101200, 101983, 107462, 79721, 9174, 80673, 679, 22, 8107, 105140, 55031, 5486, 110382, 20230, 17039, 28713, 26854, 111831, 29295, 116155, 84389, 79721, 9174, 13177, 198, 8107, 106036, 95, 116690, 103470, 5486, 102321, 107734, 105360, 64121, 16144, 32938, 50928, 30046, 15682, 34617, 111017, 109972, 106529, 66383, 26854, 31431, 79721, 9174, 102321, 107734, 66383, 95604, 104468, 5486, 85188, 35330, 30512, 102321, 107734, 16556, 46456, 124237, 103836, 101083, 31640, 102677, 100909, 38641, 9174, 43514, 26854, 64121, 20230, 102321, 107734, 105360, 64121, 16144, 110226, 17701, 107118, 5486, 108729, 112535, 13177, 198, 8107, 110226, 34617, 66224, 27113, 110743, 220, 71689, 66383, 26854, 76947, 61689, 9174, 14711, 103372, 109518, 109519, 113598, 106382, 114305, 198, 45736, 109518, 109519, 113598, 106382, 114305, 66383, 15682, 46729, 82420, 113115, 39926, 5486, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 109518, 29295, 111600, 30358, 101983, 110104, 104466, 5486, 9953, 48154, 110792, 102099, 109972, 106529, 48249, 27479, 109518, 30512, 72404, 105262, 105494, 109853, 5486, 30926, 74482, 112535, 33563, 117126, 30046, 55031, 13177, 115799, 253, 109818, 124237, 16995, 10110, 64780, 7705, 10646, 107001, 123141, 16144, 100909, 38641, 9174, 43514, 26854, 64121, 20230, 13177, 198, 102099, 109972, 106529, 109518, 10646, 15682, 123070, 33563, 117126, 112919, 110226, 17701, 113468, 5486, 116700, 116216, 61689, 9174, 64780, 15120, 121022, 15682, 101307, 33563, 117126, 30046, 29295, 5486, 103242, 109519, 101513, 97518, 20230, 58426, 109518, 30512, 46456, 124237, 16995, 106116, 74482, 5486, 107338, 20230, 102782, 109311, 117824, 30297, 118733, 5486, 104364, 109518, 17620, 30512, 104196, 35330, 120837, 33503, 30297, 100909, 59459, 17620, 107277, 126172, 47884, 112844, 19732, 13177, 121697, 109913, 58942, 117503, 105933, 102944, 23954, 125821, 17620, 107277, 126172, 47884, 48154, 122984, 78434, 9174, 16995, 126910, 34617, 111017, 109972, 106529, 19732, 78244, 114598, 5486, 46034, 103991, 71289, 17701, 94923, 104309, 104856, 104533, 123334, 15682, 31431, 103242, 109519, 106382, 15682, 77693, 26854, 112586, 45736, 109518, 117084, 103801, 61689, 9174, 32977, 21105, 251, 16144, 103242, 109519, 106382, 29295, 46729, 82420 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 115, 78205, 16073, 30512, 19732, 30369, 112973, 107202, 46034, 26854, 45829, 32977, 16325, 102052, 16995, 33503, 42891, 116826, 61689, 9174, 102131, 95604, 45829, 105321, 32149, 118816, 36896, 110191, 118372, 103351, 33503, 108064, 32977, 126036, 83601, 233, 104028, 101200, 110276, 76864, 76947, 124863, 127181, 38641, 9174, 14711, 220, 49412, 96, 103241, 245, 127814, 33121, 21105, 103, 16995, 198, 118006, 100927, 104599, 19732, 110191, 118372, 118006, 100927, 104599, 126636, 112495, 121953, 15682, 13177, 95221, 127814, 33121, 10646, 20230, 57903, 33541, 9174, 121410, 18904, 105408, 29295, 37507, 30369, 112772, 19012, 225, 21418, 30512, 39926, 108948, 108104, 30512, 20834, 102131, 32149, 104405, 119607, 32149, 1131, 19732, 78698, 105262, 109215, 29295, 110191, 118372, 118816, 123733, 31431, 33541, 9174, 114754, 46729, 20230, 37507, 30369, 104468, 120065, 1131, 76947, 24273, 15682, 110191, 118372, 118006, 100927, 104599, 116446, 64121, 30369, 123017, 46034, 32149, 110241, 33121, 107515, 9174, 567, 220, 23, 13, 107289, 16073, 118372, 118006, 100927, 104599, 16144, 68408, 39850, 37823, 67075, 198, 110191, 118372, 118006, 100927, 104599, 16144, 68408, 39850, 37823, 67075, 15682, 117896, 9522, 118075, 123038, 91763, 16144, 101734, 236, 33035, 29295, 108167, 109669, 110706, 198, 119560, 109359, 22023, 108502, 104698, 112212, 64467, 106839, 29295, 22398, 91062, 106240, 20230, 103130, 17129, 100604, 39177, 107407, 198, 126892, 120174, 111186, 108134, 29295, 17701, 76947, 50834, 109669, 110706, 198, 49412, 96, 116325, 106839, 30512, 60868, 103672, 33121, 104702, 30297, 198, 14711, 220, 118075, 123038, 91763, 16144, 101734, 236, 33035, 29295, 108167, 109669, 110706, 198, 64467, 106839, 15682, 91482, 68408, 90962, 33035, 87177, 16556, 23039, 30297, 105879, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 108167, 109669, 110706, 102677, 104468, 68408, 39850, 37823, 67075, 112028, 59739, 38641, 9174, 26854, 105879, 5486, 108064, 102944, 38093, 87177, 126036, 126390, 105714, 76947, 5486, 96356, 123927, 46034, 123927, 30512, 119448, 47884, 54926, 109215, 115991, 33541, 9174, 53900, 115847, 15682, 105408, 109054, 45923, 16144, 71289, 31431, 109669, 33503, 30813, 119627, 5486, 21990, 107263, 16144, 46034, 24186, 29295, 91774, 119841, 105879, 13177, 78183, 32149, 113017, 124233, 126469, 100604, 32149, 59712, 116414, 16556, 101198, 22398, 30512, 103792, 104865, 59712, 116414, 16556, 101128, 102, 104127, 46034, 29295, 82533, 17129, 113017, 104865, 10646, 29295, 122225, 21105, 98, 110706, 38641, 9174, 108895, 95604, 28542, 107407, 105879, 5486, 114640, 16144, 101734, 236, 33035, 102677, 28190, 77181, 117032, 16144, 118006, 100927, 104599, 120332, 29295, 37656, 74245, 71289, 31431, 126172, 16995, 107118, 91763, 61689, 9174, 14711, 220, 119560, 109359, 22023, 108502, 104698, 112212, 64467, 106839, 29295, 22398, 91062, 106240, 20230, 103130, 17129, 100604, 39177, 107407, 198, 48154, 118006, 110366, 19732, 105408, 110366, 16144, 101721, 103682, 16144, 104873, 45829, 29295, 109161, 16995, 19732, 28713, 102802, 28713, 102802, 118597, 108502, 104698, 29295, 72718, 50834, 30369, 105908, 57903, 33541, 9174, 77693, 113468, 105047, 20230, 55723, 28190, 29295, 107608, 17129, 76947, 103801, 76947, 5486, 108968, 16325, 16556, 64467, 106839, 29295, 16325, 64889, 39926, 114732, 126465, 32977, 57903, 33541, 9174, 14711, 220, 126892, 120174, 111186, 108134, 29295, 17701, 76947, 50834, 109669, 110706, 198, 110191, 118372, 118006, 100927, 104599, 16144, 107803, 5486, 110191, 118372, 16556, 13177, 78183, 124403, 110229, 30512, 100927, 105262, 10646, 112973, 105194, 235, 105194, 238, 103868, 101983, 113017, 105879, 5486, 101682, 111186, 50021, 111813, 103351, 31431, 29295, 30591, 109709, 103082, 107515, 9174, 26854, 112371, 32149, 102677, 19732, 5486, 110191, 118372, 15682, 116245, 30512, 102647, 81219, 101860, 116414, 20230, 102532, 32977, 108608, 112973, 39850, 37823, 67075, 16556, 5486, 116900, 20230, 95604, 19732, 105408, 32977, 116414, 20230, 102532, 32977, 64467, 106839, 29295, 108608, 9174, 59739, 109709, 123085, 111717, 116414, 103296, 72661, 46034, 108285, 47884, 103082, 104702, 30297, 113334, 26854, 105879, 123213, 34048, 16144, 108695, 120332, 32977, 89753, 102465, 20230, 13177, 2618, 72368, 45893, 102697, 72099, 37087, 38144, 16144, 101682, 111186, 108134, 30512, 105550, 108327, 76864, 114016, 109335, 126843, 16937, 88367, 38641, 9174, 26854, 105879, 5486, 101682, 111186, 21990, 16556, 13177, 101682, 111186, 16144, 115789, 100927, 107290, 111654, 102800, 76864, 76947, 24273, 102052, 30591, 109709, 70141, 102532, 107515, 9174, 110904, 116254, 20230, 13177, 53508, 231, 104195, 30512, 100927, 107290, 111654, 102800, 10646, 76947, 113173, 105110, 37087, 61994, 104712, 106046, 61689, 9174, 14711, 220, 49412, 96, 116325, 106839, 30512, 60868, 103672, 33121, 104702, 30297, 198, 110191, 118372, 118006, 100927, 104599, 15682, 105408, 29295, 46729, 20230, 37507, 30369, 113334, 110034, 105879, 5486, 37689, 48915, 19732, 112825, 110904, 20230, 64467, 106839, 30512, 60868, 103672, 33121, 104702, 61689, 9174, 26854, 105879, 5486, 60868, 103672, 31431, 23706, 244, 107407, 45829, 71289, 96452, 112164, 22398, 115717, 29295, 43514, 26854, 121240, 126513, 103350, 104983, 20230, 50834, 111243, 33503, 30297, 118006, 100927, 104599, 120332, 29295, 104712, 32149, 110241, 33121, 107515, 9174, 567, 220, 24, 13, 107301, 59657, 122, 9458, 118006, 100927, 104599, 36761, 109431, 34171, 120761, 64889, 198, 51330, 104466, 5486, 59657, 122, 71289, 118006, 100927, 104599, 15682, 39850, 37823, 67075, 32977, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 9174, 33334, 45829, 115867, 127749, 113468, 5486, 2243, 112, 100472, 111331, 103359, 105226, 15682, 108901, 26854, 76947, 50834, 33541, 9174, 90620, 108048, 30512, 122225, 54926, 16144, 76947, 37656, 74245, 13177, 125338, 64121, 100604, 19732, 10646, 78183, 124403, 38641, 123794, 9174, 72661, 5486, 103359, 105226, 30512, 16995, 112495, 31431, 18655, 30369, 104468, 33334, 35330, 32977, 32149, 107277, 33541, 15024, 112997, 29220, 115991, 33541, 123794, 9174, 110924, 16556, 5486, 103350, 104983, 20230, 59657, 122, 19732, 118006, 100927, 104599, 30512, 106613, 111186, 103792, 86127, 29295, 115515, 112197, 45829, 115867, 127749, 118816, 99849, 16144, 103359, 105226, 30512, 102647, 104369, 103854, 112495, 104865, 5486, 109431, 34171, 120761, 64889, 103223, 64178, 126694, 31431, 79721, 9174, 20, 99397, 23897, 32943, 16556, 113925, 125334, 30369, 101200, 101983, 113017, 105879, 5486, 57980, 102518, 33503, 33655, 76947, 64121, 38144, 72315, 9174, 100437, 11144, 44597, 47018, 16556, 120761, 64889, 11199, 102159, 103283, 59657, 122, 9458, 43167, 108638, 59657, 122, 9458, 118006, 100927, 104599, 117093, 30591, 112568, 121254, 102532, 30369, 104468, 67645, 33121, 95532, 48, 17, 13, 104575, 16144, 107141, 101275, 102052, 59739, 16995, 100481, 107441, 33541, 32149, 11571, 119869, 20230, 114941, 30369, 198, 48, 18, 13, 104575, 16144, 107141, 101275, 102052, 59739, 16995, 100481, 107441, 33541, 32149, 11571, 119869, 20230, 114941, 30369, 198, 48, 19, 13, 57933, 71634, 53508, 231, 104195, 15682, 114392, 20230, 103082, 127280, 32149, 11571, 119869, 20230, 114941, 30369, 198, 30591, 112568, 107898, 125683, 62004, 26854, 104468, 90578, 827, 107301, 43167, 108638, 59657, 122, 36761, 38641, 32351, 119869, 20230, 114941, 30369, 198, 68431, 117826, 107734, 59657, 122, 114341, 104599, 16144, 30297, 30813, 105557, 105408, 29295, 13177, 103633, 105065, 72099, 32943, 16556, 33334, 125683, 62004, 16144, 59657, 122, 118587, 126362, 106609, 827, 107301, 102159, 103283, 59657, 122, 36761, 38641, 32351, 119869, 20230, 114941, 30369, 198, 827, 107301, 118006, 100927, 104599, 36761, 38641, 32351, 119869, 20230, 114941, 30369, 198, 68431, 117826, 107734, 118006, 100927, 104599, 16144, 30297, 30813, 105557, 105408, 29295, 13177, 103633, 105065, 72099, 32943, 16556, 33334, 125683, 62004, 16144, 118006, 100927, 104599, 118587, 126362, 106609, 30591, 110027, 38144, 98499, 115226, 198, 30297, 30813, 105557, 105408, 16144, 107420, 106384, 64178, 198, 107430, 101275, 1131, 59657, 122, 114341, 104599, 9458, 118006, 100927, 104599, 198, 10110, 59657, 122, 114341, 104599, 114172, 605, 8107, 14, 118006, 100927, 104599, 114172, 717, 8107, 23954, 59657, 122, 71289, 118006, 100927, 104599, 30512, 102647, 104369, 104983, 20230, 40526, 47260, 101198, 71289, 107624, 106053, 30512, 104873, 115694, 64121, 111243, 198, 102971, 91077, 102181, 102532, 101182, 44915, 15682, 116414, 32977, 112361, 9174, 77693, 105110, 86127, 29295, 116907, 16144, 106613, 111186, 30512, 32977, 19732, 20230, 19967, 42891, 104702, 58942, 106609, 76947, 118733, 51330, 116229, 126694, 31431, 79721, 1811, 128001, 128000, 13177, 45736, 106036, 95, 30046, 110276, 33503, 5486, 103242, 109519, 106382, 15682, 114485, 30369, 76864, 198, 107943, 113146, 15682, 105721, 116547, 33541, 106609, 64121, 26854, 117940, 5486, 112599, 16144, 102433, 16144, 103242, 109519, 106382, 114305, 30512, 5486, 67645, 16144, 120264, 113954, 127145, 32149, 95532, 45736, 106036, 95, 112919, 103242, 109519, 106382, 111476, 99849, 111017, 30512, 109972, 106529, 54926, 104865, 114225, 20230, 103899, 58942, 102204, 33541, 32149, 95532, 13177, 36785, 102334, 16995, 20713, 111017, 109972, 106529, 16556, 124304, 91006, 104309, 106046, 107462, 107515, 32149, 95532, 122270, 37271, 74482, 5486, 103242, 109519, 106382, 29295, 104405, 26854, 107462, 47884, 104865, 5486, 21105, 96, 107277, 102178, 111665, 127145, 32149, 95532, 103242, 109519, 106382, 19732, 43568, 116690, 124911, 114016, 116898, 107515, 123794, 9174, 97049, 30512, 18655, 110104, 114516, 125001, 100604, 104466, 112160, 27479, 32977, 103429, 95221, 101983, 110104, 17792, 105321, 100481, 107515, 9174, 22656, 77219, 77181, 13177, 45736, 106036, 95, 112919, 103242, 109519, 106382, 76947, 37271, 15682, 104405, 26854, 103836, 16144, 11571, 37271, 74482, 15682, 104405, 26854, 107462, 119064, 91006, 102677, 107750, 99397, 20230, 50338, 104662, 17663, 103854, 47884, 5486, 88852, 120950, 28542, 30512, 104356, 114267, 48154, 122984, 30512, 109768, 50834, 33541, 9174, 12, 117826, 19000, 16144, 103242, 109519, 106382, 16144, 114305, 109853, 198, 12, 116564, 74482, 113727, 110071, 114305, 16144, 23226, 37656, 198, 12, 124908, 109519, 106382, 16144, 107792, 103664, 41007, 198, 12, 220, 58426, 113009, 109215, 26854, 100909, 198, 103350, 15682, 122603, 106036, 95, 30046, 127303, 114598, 115515, 103296, 19732, 112361, 104466, 103242, 109519, 106382, 30512, 109972, 106529, 21105, 103, 118145, 105110, 100604, 113146, 15682, 5486, 108031, 114225, 110924, 103296, 37507, 127280, 9174, 107943, 113146, 20230, 104874, 107290, 115408, 104067, 121568, 20230, 106084, 30369, 100909, 26854, 104127, 109954, 95532, 110904, 116254, 119627, 108048, 15682, 13177, 198, 113614, 16556, 107991, 100909, 10646, 111769, 112130, 95532, 122571, 106116, 112258, 113, 30512, 111665, 30369, 112973, 13177, 198, 104473, 107654, 10646, 103195, 19732, 113727, 33541, 9174, 22656, 77219, 29295, 5486, 112073, 98369, 32977, 113614, 111363, 37689, 109375, 30512, 45736, 62004, 5486, 35330, 103842, 255, 9554, 105352, 113116, 9554, 105352, 89783, 116664, 114792, 100472, 92877, 74482, 37705, 30369, 124122, 5486, 103983, 105564, 104856, 104028, 106592, 112622, 61689, 9174, 92877, 123470, 104874, 58942, 15682, 2118, 198, 111006, 863, 55031, 6447, 111006, 16144, 104874, 58942, 15682, 2118, 108477, 255, 104127, 863, 55031, 106609, 30832, 33671, 198, 567, 220, 20713, 117826, 19000, 16144, 103242, 109519, 114305, 15682, 95532, 61826, 104680, 16144, 87177, 123410, 112772, 5486, 112599, 16144, 103242, 109519, 106382, 114305, 109853, 48154, 122984, 78434, 9174, 14711, 124908, 109519, 106382, 16144, 102099, 109972, 106529, 111017, 40862, 109853, 198, 77181, 112599, 16144, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 109518, 15682, 5486, 102208, 112425, 67645, 16144, 120264, 46456, 124237, 30297, 105879, 109954, 32149, 95532, 112425, 48154, 110792, 111017, 40862, 15682, 5486, 88852, 16144, 19732, 108086, 38641, 9174, 12, 220, 2075, 97049, 71689, 52118, 20713, 111017, 109972, 106529, 10110, 74482, 23538, 45736, 106036, 95, 103242, 109519, 33563, 117126, 124259, 125174, 109913, 78183, 30369, 23954, 12, 220, 66224, 27113, 56040, 66224, 46702, 97049, 52118, 25963, 111017, 109972, 106529, 198, 12, 220, 66224, 27113, 97049, 39442, 112624, 52118, 34617, 111017, 109972, 106529, 198, 12, 220, 60596, 97049, 39442, 112624, 10110, 104577, 102781, 104378, 81258, 48864, 25580, 7705, 52118, 25963, 111017, 109972, 106529, 198, 679, 22, 8107, 104149, 17129, 77181, 110371, 101200, 101983, 107462, 79721, 9174, 80673, 679, 22, 8107, 105140, 55031, 5486, 110382, 20230, 17039, 28713, 26854, 111831, 29295, 116155, 84389, 79721, 9174, 13177, 198, 8107, 106036, 95, 116690, 103470, 5486, 102321, 107734, 105360, 64121, 16144, 32938, 50928, 30046, 15682, 34617, 111017, 109972, 106529, 66383, 26854, 31431, 79721, 9174, 102321, 107734, 66383, 95604, 104468, 5486, 85188, 35330, 30512, 102321, 107734, 16556, 46456, 124237, 103836, 101083, 31640, 102677, 100909, 38641, 9174, 43514, 26854, 64121, 20230, 102321, 107734, 105360, 64121, 16144, 110226, 17701, 107118, 5486, 108729, 112535, 13177, 198, 8107, 110226, 34617, 66224, 27113, 110743, 220, 71689, 66383, 26854, 76947, 61689, 9174, 14711, 103372, 109518, 109519, 113598, 106382, 114305, 198, 45736, 109518, 109519, 113598, 106382, 114305, 66383, 15682, 46729, 82420, 113115, 39926, 5486, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 109518, 29295, 111600, 30358, 101983, 110104, 104466, 5486, 9953, 48154, 110792, 102099, 109972, 106529, 48249, 27479, 109518, 30512, 72404, 105262, 105494, 109853, 5486, 30926, 74482, 112535, 33563, 117126, 30046, 55031, 13177, 115799, 253, 109818, 124237, 16995, 10110, 64780, 7705, 10646, 107001, 123141, 16144, 100909, 38641, 9174, 43514, 26854, 64121, 20230, 13177, 198, 102099, 109972, 106529, 109518, 10646, 15682, 123070, 33563, 117126, 112919, 110226, 17701, 113468, 5486, 116700, 116216, 61689, 9174, 64780, 15120, 121022, 15682, 101307, 33563, 117126, 30046, 29295, 5486, 103242, 109519, 101513, 97518, 20230, 58426, 109518, 30512, 46456, 124237, 16995, 106116, 74482, 5486, 107338, 20230, 102782, 109311, 117824, 30297, 118733, 5486, 104364, 109518, 17620, 30512, 104196, 35330, 120837, 33503, 30297, 100909, 59459, 17620, 107277, 126172, 47884, 112844, 19732, 13177, 121697, 109913, 58942, 117503, 105933, 102944, 23954, 125821, 17620, 107277, 126172, 47884, 48154, 122984, 78434, 9174, 16995, 126910, 34617, 111017, 109972, 106529, 19732, 78244, 114598, 5486, 46034, 103991, 71289, 17701, 94923, 104309, 104856, 104533, 123334, 15682, 31431, 103242, 109519, 106382, 15682, 77693, 26854, 112586, 45736, 109518, 117084, 103801, 61689, 9174, 32977, 21105, 251, 16144, 103242, 109519, 106382, 29295, 46729, 82420 ]
[ 30512, 121819, 117598, 54926, 101200, 101983, 104984, 5486, 32938, 50928, 29295, 83747, 100604, 30046, 104309, 15682, 5486, 16937, 104873, 71289, 107297, 37046, 126198, 110018, 105352, 5486, 114225, 20230, 122412, 102416, 23039, 47884, 105908, 103082, 123733, 76947, 103801, 61689, 9174, 26854, 105879, 106116, 107707, 32938, 50928, 113468, 13177, 198, 102099, 109972, 106529, 48249, 27479, 109518, 118587, 23187, 62004, 122603, 109518, 117084, 103801, 114598, 48249, 27479, 109518, 71689, 30512, 46456, 124237, 78183, 103470, 111243, 126521, 102677, 100909, 116446, 61689, 9174, 10110, 30591, 47884, 17129, 72661, 106116, 9953, 16144, 103242, 109519, 106382, 16144, 110022, 109518, 26854, 103846, 5486, 42016, 15120, 16144, 103242, 109519, 101513, 97518, 16556, 103470, 111243, 126521, 23954, 827, 120436, 110698, 16144, 106548, 103214, 64121, 10110, 46034, 106307, 50834, 109853, 23954, 13177, 102040, 68759, 108056, 115240, 111329, 17905, 61304, 15682, 5486, 112825, 110904, 20230, 46456, 110698, 103296, 16144, 89753, 33121, 30512, 111629, 16556, 21405, 56051, 123017, 115717, 33541, 9174, 51330, 103826, 20230, 13177, 198, 108975, 38093, 76622, 25827, 2243, 121, 46456, 34048, 10646, 102416, 102782, 109311, 15024, 5486, 124237, 16995, 114941, 15024, 30512, 120837, 33503, 61689, 9174, 80673, 5486, 110382, 16556, 61633, 21105, 103, 118145, 105110, 100604, 112973, 13177, 198, 124237, 16995, 114941, 15024, 103296, 16144, 117232, 10646, 38641, 9174, 124237, 16995, 114941, 15024, 15682, 5486, 103242, 109519, 101513, 97518, 55031, 118664, 107001, 31958, 104398, 102181, 16144, 117859, 112984, 30512, 106613, 38144, 23039, 123671, 33541, 9174, 58426, 103846, 103350, 104983, 20230, 108948, 35330, 29295, 104196, 76947, 109749, 103296, 102052, 5486, 34617, 113746, 71689, 32149, 126469, 103801, 61689, 9174, 106613, 111587, 127749, 15682, 16906, 111, 106624, 5486, 122270, 58426, 123470, 33035, 94923, 123160, 106382, 11883, 32977, 109215, 104856, 103836, 127749, 77181, 112160, 106145, 32977, 103856, 47884, 124237, 16995, 114941, 21105, 234, 84389, 100604, 19732, 110482, 30369, 102677, 17792, 32977, 107991, 123253, 9174, 107943, 107803, 102052, 36896, 198, 45736, 109518, 103242, 109519, 106382, 46456, 110698, 91774, 104526, 110726, 47000, 114305, 66383, 95604, 102944, 115991, 33541, 9174, 51330, 114305, 15682, 5486, 46456, 124237, 100472, 103242, 109519, 106382, 29295, 124237, 16995, 114941, 107001, 103296, 16144, 56965, 5486, 103242, 109519, 106382, 20230, 105843, 125655, 103087, 35330, 30512, 198, 43568, 60632, 45829, 16556, 110726, 15024, 47000, 107441, 124089, 102677, 102944, 38641, 9174, 110726, 47000, 109518, 15682, 13177, 198, 45736, 109518, 109519, 113598, 106382, 110726, 47000, 114305, 117503, 220, 66115, 111017, 120019, 38641, 9174, 10110, 50520, 111, 106624, 15682, 13177, 108975, 38093, 76622, 25827, 2243, 121, 46456, 34048, 10646, 102416, 33334, 99397, 16995, 114146, 72315, 1811, 23954, 14711, 103372, 109518, 75910, 106528, 40862, 70203, 109519, 113598, 114305, 198, 45736, 109518, 75910, 106528, 40862, 70203, 109519, 113598, 114305, 66383, 15682, 5486, 20713, 8107, 56965, 10110, 121410, 8107, 23, 14, 16, 56040, 102048, 234, 8107, 22, 14, 2148, 120732, 124908, 109519, 33563, 117126, 19732, 5486, 220, 75910, 106528, 33563, 117126, 122692, 63091, 101923, 109972, 106529, 16144, 40862, 70203, 109518, 29295, 102700, 106624, 45736, 109518, 108176, 107803, 20230, 5486, 75146, 107253, 109518, 30512, 72404, 107800, 35330, 109518, 30512, 124237, 16995, 114941, 17663, 118733, 109972, 106529, 30512, 117355, 114485, 54926, 106548, 103214, 64121, 38641, 9174, 51330, 110018, 16144, 75146, 107253, 109518, 15682, 5486, 101307, 33563, 117126, 112919, 109972, 106529, 106556, 20230, 106608, 100204, 38144, 5486, 104398, 32149, 47884, 116700, 127145, 9174, 33334, 33334, 57980, 58426, 75146, 107253, 109518, 16144, 5486, 2031, 97049, 39442, 112624, 16144, 27452, 15682, 88852, 16144, 19732, 108086, 38641, 9174, 12, 101377, 110226, 8027, 15, 32307, 56040, 52118, 11227, 32307, 198, 12, 101377, 110226, 20772, 56040, 8027, 15, 32307, 52118, 9335, 32307, 198, 12, 101377, 110226, 14648, 56040, 20772, 32307, 52118, 3080, 32307, 198, 12, 127935, 14648, 32307, 52118, 1399, 32307, 198, 12, 109450, 102865, 101634, 70821, 85188, 101083, 115351, 66776, 111681, 85188, 96555, 8107, 35330, 110226, 17701, 66115, 27113, 110743, 88852, 52118, 1958, 32307, 198, 126843, 85707, 62004, 20230, 5486, 118075, 23530, 102865, 101634, 16144, 13177, 198, 75910, 106528, 33563, 117126, 30046, 10646, 102416, 102782, 109311, 30512, 20834, 78434, 9174, 80539, 5486, 119560, 75910, 106528, 33563, 117126, 30046, 55031, 13177, 198, 75910, 106528, 102099, 109972, 106529, 109518, 110322, 31958, 102181, 118587, 102404, 23039, 120837, 110706, 5486, 126892, 37271, 27479, 15682, 77693, 30512, 114001, 47000, 56051, 102782, 109311, 102181, 30512, 13177, 124908, 109519, 33563, 117126, 30046, 10646, 102416, 118664, 78434, 9174, 30591, 107118, 5486, 75910, 106528, 33563, 117126, 30046, 9458, 103242, 109519, 33563, 117126, 112919, 77693, 108422, 33121, 55031, 124237, 16995, 114941, 15024, 109518, 16144, 46456, 110698, 30512, 75293, 43514, 33541, 9174, 58426, 122756, 111476, 103242, 109519, 33563, 117126, 30046, 15682, 75910, 106528, 33563, 117126, 30046, 20230, 49412, 96, 120436, 110698, 109518, 16144, 89046, 117139, 30512, 78434, 9174, 58426, 74482, 5486, 49412, 97, 124237, 16995, 114941, 15024, 103087, 35330, 29295, 198, 46456, 110698, 84389, 33541, 9174, 2118, 101778, 108931, 117255, 67645, 102944, 103242, 109519, 106382, 89874, 112361, 102433, 72661, 5486, 119208, 113468, 45829, 67645, 102944, 103242, 109519, 106382, 102052, 104364, 115991, 33541, 9174, 110382, 77181, 198, 101778, 108931, 117255, 67645, 102944, 103242, 109519, 114305, 109853, 108948, 87177, 78434, 9174, 101778, 108931, 16144, 107803, 5486, 108729, 112535, 39442, 81258, 48864, 116581, 10110, 60596, 97049, 39442, 112624, 7705, 109853, 15682, 5486, 33035, 94923, 9458, 17701, 94923, 106382, 16144, 16995, 101860, 33121, 32977, 103129, 13153, 84389, 33541, 9174, 122270, 111476, 25963, 34617, 24775, 15682, 121270, 48864, 124305, 101275, 10110, 104577, 102781, 104378, 81258, 48864, 116581, 7705, 17129, 77181, 5486, 17701, 94923, 125344, 104364, 109518, 16144, 102832, 105404, 31640, 9458, 33035, 94923, 39177, 10110, 16, 18904, 1049, 35757, 7705, 116749, 20230, 102099, 109972, 106529, 54926, 102944, 15682, 124897, 9174, 85701, 20230, 21601, 107290, 94134, 33014, 16144, 103129, 13153, 32977, 101182, 103846, 111476, 103350, 105284, 123331, 124305, 101275, 103296, 103242, 109519, 106382, 15682, 108270, 42634, 102677, 100909, 115717, 33541, 1811, 104179, 24775, 5486, 115728, 31640, 101129, 24775, 15682, 34226, 20230, 46034, 112950, 16995, 122521, 117824, 76947, 108086, 5486, 49409, 24775, 77181, 972, 97049, 103296, 117255, 67645, 32977, 102052, 5486, 17701, 94923, 106382, 30512, 103129, 13153, 1811, 103633, 31640, 101129, 24775, 15682, 117734, 21990, 113115, 15024, 5486, 33035, 94923, 9458, 17701, 94923, 107173, 20230, 103129, 13153, 127145, 9174, 567, 220, 25963, 109517, 254, 106529, 109518, 15682, 105184, 103350, 20230, 115079, 21601, 54926, 106609, 17905, 61304, 103296, 29295, 5486, 112599, 16144, 103242, 109519, 114305, 109853, 38641, 9174, 110382, 126328, 114715, 120987, 112197, 87177, 30512, 109768, 50834, 33541, 9174, 126843, 118288, 8107, 15682, 5486, 102321, 107734, 105360, 64121, 16144, 32938, 50928, 107407, 45736, 106036, 95, 30046, 29295, 5486, 102099, 109972, 106529, 109518, 29295, 34617, 111017, 121711, 79721, 9174, 77181, 37271, 74482, 123085, 16144, 103242, 109519, 106382, 114305, 15682, 104405, 109020, 105879, 109954, 32149, 95532, 14711, 119767, 38093, 118788, 106382, 19732, 112686, 75513, 198, 105212, 120332, 13393, 251, 77181, 112599, 5486, 88852, 16144, 25963, 118821, 105908, 111800, 118219, 116216, 61689, 9174, 12, 220, 2075, 97049, 71689, 29295, 118065, 54926, 5486, 74482, 23538, 45736, 106036, 95, 103242, 109519, 33563, 117126, 113245, 103826, 104680, 26854, 13177, 117355, 114485, 66378, 27452, 117503, 91774, 74245, 15024, 198, 12, 220, 75910, 106528, 33563, 117126, 60868, 113649, 117718, 102099, 109972, 106529, 109518, 16144, 115079, 21601, 10110, 679, 23, 8107, 103911, 23187, 23954, 26854, 112371, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 15682, 5486, 8107, 104680, 115079, 21601, 109768, 47884, 105879, 109954, 32149, 95532, 122582, 105047, 106266, 26854, 198, 45736, 106036, 95, 33208, 113468, 5486, 103242, 109519, 106382, 30512, 27704, 62004, 117408, 106222, 118788, 106382, 29295, 114114, 245, 27384, 15024, 106307, 76622, 100934, 120266, 57903, 33541, 9174, 121410, 8107, 198, 20713, 6708, 228, 35757, 106045, 54872, 16556, 115079, 58942, 106307, 107441, 108086, 115847, 29295, 109517, 94, 75513, 30512, 121819, 117598, 15024, 5486, 103826, 104680, 26854, 91774, 74245, 15024, 30512, 89783, 118273, 103470, 127145, 9174, 115079, 27384, 30512, 106307, 105784, 106222, 118788, 106382, 30512, 5486, 85188, 35330, 19732, 109972, 101427, 113, 30512, 115079, 126172, 118733, 105321, 110162, 83812, 226, 103836, 112973, 5486, 37046, 29295, 125525, 102321, 103397, 38641, 9174, 14711, 73028, 95, 17129, 110104, 83747, 45829, 45736, 106036, 95, 33208, 198, 103242, 109519, 16144, 102099, 109972, 106529, 109518, 115079, 21601, 16144, 5486, 119045, 109904, 113385, 15682, 13177, 198, 83747, 45829, 45736, 106036, 95, 33208, 10646, 115717, 33541, 9174, 10110, 83747, 45829, 45736, 106036, 95, 33208, 103378, 29295, 113385, 77181, 124897, 29295, 1811, 23954, 80673, 110371, 83747, 45829, 45736, 106036, 95, 33208, 29295, 82533, 115464, 91774, 121423, 15682, 124897, 9174, 20834, 21990, 96455, 15682, 17297, 104989, 30512, 106307, 76622, 122603, 106036, 95, 30046, 15682, 115079, 58942, 106307, 107441, 61689, 9174, 6280, 15, 8107, 102052, 5486, 16, 107707, 45736, 106036, 95, 112919, 103242, 109519, 106382, 30512, 198, 20713, 25963, 13, 20713, 107707, 102321, 107734, 101083, 31640, 16556, 46456, 58942, 100481, 79721, 9174, 80673, 112599, 77181, 5486, 679, 17, 8107, 102052, 198, 25963, 13, 60596, 17792, 16556, 20713, 107707, 45736, 106036, 95, 30046, 30512, 46456, 107290, 108086, 5486, 11056, 15, 8107, 102052, 220, 20713, 13, 34617, 17792, 16556, 46456, 58942, 100481, 107188, 118145, 26854, 31431, 107515, 9174, 34226, 20230, 102987, 106145, 33208, 56051, 107803, 5486, 20713, 13, 27113, 17792, 88852, 117084, 114732, 115789, 5486, 114392, 20230, 113727, 102204, 33541, 9174, 120550, 100472, 107803, 5486, 102321, 107734, 101083, 31640, 16144, 85188, 35330, 77181, 37087, 47884, 111983, 58942, 123733, 31431, 33541, 9174, 53900, 5486, 2366, 20, 8107, 102052, 13177, 198, 108638, 59657, 232, 16144, 101083, 31640, 10646, 29295, 2075, 97049, 71689, 16144, 74482, 23538, 45736, 106036, 95, 30046, 121711, 33541, 9174, 45736, 106036, 95, 101983, 104984, 112672, 5486, 103429, 95221, 71289, 31634, 75910, 106528, 16144, 112997, 29220, 15682, 45736, 109709, 5486, 103242, 109519, 106382, 29295, 109215, 38641, 9174, 105212, 103306, 15682, 110371, 13177, 108638, 59657, 232, 16144, 101083, 31640, 10646, 29295, 2031, 97049, 71689, 108176, 2366, 15, 8107, 103296, 20230, 5486, 103242, 109519, 9458, 75910, 106528, 114305, 119254, 30512, 103130, 109315, 106592, 5486, 30832, 105888, 103306, 61689, 9174, 567, 220, 34617, 63091, 17620, 16144, 96356, 15682, 105994, 16556, 106154, 30369, 198, 77181, 37271, 74482, 5486, 105576, 104680, 115079, 58942, 100481, 47884, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 109518, 16144, 115079, 21601, 109606, 9174, 108618, 104611, 106272, 115847, 30512, 102456, 16995, 82533, 109315, 102052, 108008, 20230, 82973, 29295, 32149, 107277, 102131, 38641, 9174, 111482, 16144, 106222, 103130, 20834, 20230, 112183, 16995, 5486, 20834, 21990, 96455, 15682, 17297, 29295, 107462, 50834, 33541, 29295, 115847, 30512, 11881, 242, 119775, 114941, 17663, 109335, 32977, 15682, 71289, 16937, 88367, 123253, 9174, 127303, 104984, 5486, 111482, 29295, 122502, 50834, 106272, 32977, 51385, 64209, 39926, 45829, 101662, 38144, 29295, 106084, 30369, 106222, 20230, 109768, 47884, 105908, 109215, 119627, 5486, 112073, 98369, 32977, 33334, 17620, 107277, 26854, 104466, 116898, 126910, 114305, 17905, 102131, 16995, 100472, 122521, 122291, 103306, 32977, 5486, 103350, 106222, 71289, 108695, 20230, 27699, 116, 108950, 109768, 47884, 104468, 82973, 29295, 32149, 107277, 33541, 9174, 119254, 30512, 90620, 75293, 59739, 126036, 112160, 17792, 15120, 114754, 106084, 30369, 106592, 54926, 125231, 118816, 112391, 33541, 9174, 14711, 108837, 98, 104915, 16556, 107991, 105908, 99849, 105755, 16144, 107792, 103664, 198, 40265, 115926, 123628, 100909, 119627, 5486, 113614, 16556, 16995, 104984, 103242, 109519, 106382, 15682, 77693, 108680, 32149, 107277, 107515, 9174, 10110, 113614, 120761, 64889, 104309, 15682, 23187, 23538, 112535, 16995, 47884, 125231, 119627, 1811, 23954, 37271, 74482, 105576, 104680, 5486, 113614, 16556, 107991, 105908, 15120, 87217, 16144, 107792, 103664, 117282, 113146, 124259, 70141, 32149, 107462, 50834, 33541, 9174, 80673, 113614, 26854, 111006, 107118, 5486, 110589, 31958, 9080, 16556, 46034, 109156, 30369, 102944, 77181, 124897, 9174, 101544, 116358, 108882, 64121, 30358, 101832, 113468, 104654, 108710, 101557, 96, 103429, 115717, 33541, 9174, 59739, 109709, 77693, 120577, 103429, 95221, 30512, 103181, 104699, 102052, 5486, 101544, 8107, 95221, 30512, 122382, 106307, 76622, 123207, 105110, 100604, 102677, 100909, 38641, 9174, 58426, 104466, 104655, 126145, 5486, 113461, 32149, 15120, 21990, 16937, 111764, 108176, 116499, 39926, 103801, 61689, 29295, 117119, 32977, 32149, 32977, 30512, 17599, 117, 104792, 112535, 95221, 116825, 76622, 123207, 105110, 100604, 102677, 113334, 77181, 124897, 9174, 109215, 71689, 20230, 101365, 106613, 105284, 115717, 5486, 95221, 116825, 76622, 120195, 30369, 115789, 32149, 58942, 76947, 71634, 108744, 121711, 33541, 9174, 26854, 105879, 5486, 120098, 30512, 126128, 107800, 17905, 16556, 108149, 109709, 25132, 223, 19113, 102729, 99, 62004, 101983, 121140, 5486, 109431, 27479, 20230, 111764, 103195, 106592, 33334, 125683, 62004, 78434, 9174, 567, 220, 46702, 108837, 98, 104915, 111363, 103983, 105564, 15682, 13177, 104473, 107654, 111329, 77181, 5486, 17905, 61304, 16144, 13177, 120098, 66383, 15682, 99849, 123253, 32149, 95532, 122571, 85701, 15682, 13177, 198, 104473, 107654, 10646, 118816, 78698, 107290, 61689, 9174, 110382, 16556, 95604, 104473, 107654, 102052, 36896, 198, 104473, 89753, 9458, 104473, 107654, 16144, 105284, 9458, 104473, 36651, 16144, 104195, 27479, 10646, 104309, 29295, 96412, 17129, 106824, 61689, 9174, 112844, 17129, 72661, 124897, 29295, 5486, 104473, 107654, 107118, 5486, 107707, 33014, 126694, 30369, 75146, 17920, 236, 117282, 15308, 226, 113598, 72238, 30512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30512, 121819, 117598, 54926, 101200, 101983, 104984, 5486, 32938, 50928, 29295, 83747, 100604, 30046, 104309, 15682, 5486, 16937, 104873, 71289, 107297, 37046, 126198, 110018, 105352, 5486, 114225, 20230, 122412, 102416, 23039, 47884, 105908, 103082, 123733, 76947, 103801, 61689, 9174, 26854, 105879, 106116, 107707, 32938, 50928, 113468, 13177, 198, 102099, 109972, 106529, 48249, 27479, 109518, 118587, 23187, 62004, 122603, 109518, 117084, 103801, 114598, 48249, 27479, 109518, 71689, 30512, 46456, 124237, 78183, 103470, 111243, 126521, 102677, 100909, 116446, 61689, 9174, 10110, 30591, 47884, 17129, 72661, 106116, 9953, 16144, 103242, 109519, 106382, 16144, 110022, 109518, 26854, 103846, 5486, 42016, 15120, 16144, 103242, 109519, 101513, 97518, 16556, 103470, 111243, 126521, 23954, 827, 120436, 110698, 16144, 106548, 103214, 64121, 10110, 46034, 106307, 50834, 109853, 23954, 13177, 102040, 68759, 108056, 115240, 111329, 17905, 61304, 15682, 5486, 112825, 110904, 20230, 46456, 110698, 103296, 16144, 89753, 33121, 30512, 111629, 16556, 21405, 56051, 123017, 115717, 33541, 9174, 51330, 103826, 20230, 13177, 198, 108975, 38093, 76622, 25827, 2243, 121, 46456, 34048, 10646, 102416, 102782, 109311, 15024, 5486, 124237, 16995, 114941, 15024, 30512, 120837, 33503, 61689, 9174, 80673, 5486, 110382, 16556, 61633, 21105, 103, 118145, 105110, 100604, 112973, 13177, 198, 124237, 16995, 114941, 15024, 103296, 16144, 117232, 10646, 38641, 9174, 124237, 16995, 114941, 15024, 15682, 5486, 103242, 109519, 101513, 97518, 55031, 118664, 107001, 31958, 104398, 102181, 16144, 117859, 112984, 30512, 106613, 38144, 23039, 123671, 33541, 9174, 58426, 103846, 103350, 104983, 20230, 108948, 35330, 29295, 104196, 76947, 109749, 103296, 102052, 5486, 34617, 113746, 71689, 32149, 126469, 103801, 61689, 9174, 106613, 111587, 127749, 15682, 16906, 111, 106624, 5486, 122270, 58426, 123470, 33035, 94923, 123160, 106382, 11883, 32977, 109215, 104856, 103836, 127749, 77181, 112160, 106145, 32977, 103856, 47884, 124237, 16995, 114941, 21105, 234, 84389, 100604, 19732, 110482, 30369, 102677, 17792, 32977, 107991, 123253, 9174, 107943, 107803, 102052, 36896, 198, 45736, 109518, 103242, 109519, 106382, 46456, 110698, 91774, 104526, 110726, 47000, 114305, 66383, 95604, 102944, 115991, 33541, 9174, 51330, 114305, 15682, 5486, 46456, 124237, 100472, 103242, 109519, 106382, 29295, 124237, 16995, 114941, 107001, 103296, 16144, 56965, 5486, 103242, 109519, 106382, 20230, 105843, 125655, 103087, 35330, 30512, 198, 43568, 60632, 45829, 16556, 110726, 15024, 47000, 107441, 124089, 102677, 102944, 38641, 9174, 110726, 47000, 109518, 15682, 13177, 198, 45736, 109518, 109519, 113598, 106382, 110726, 47000, 114305, 117503, 220, 66115, 111017, 120019, 38641, 9174, 10110, 50520, 111, 106624, 15682, 13177, 108975, 38093, 76622, 25827, 2243, 121, 46456, 34048, 10646, 102416, 33334, 99397, 16995, 114146, 72315, 1811, 23954, 14711, 103372, 109518, 75910, 106528, 40862, 70203, 109519, 113598, 114305, 198, 45736, 109518, 75910, 106528, 40862, 70203, 109519, 113598, 114305, 66383, 15682, 5486, 20713, 8107, 56965, 10110, 121410, 8107, 23, 14, 16, 56040, 102048, 234, 8107, 22, 14, 2148, 120732, 124908, 109519, 33563, 117126, 19732, 5486, 220, 75910, 106528, 33563, 117126, 122692, 63091, 101923, 109972, 106529, 16144, 40862, 70203, 109518, 29295, 102700, 106624, 45736, 109518, 108176, 107803, 20230, 5486, 75146, 107253, 109518, 30512, 72404, 107800, 35330, 109518, 30512, 124237, 16995, 114941, 17663, 118733, 109972, 106529, 30512, 117355, 114485, 54926, 106548, 103214, 64121, 38641, 9174, 51330, 110018, 16144, 75146, 107253, 109518, 15682, 5486, 101307, 33563, 117126, 112919, 109972, 106529, 106556, 20230, 106608, 100204, 38144, 5486, 104398, 32149, 47884, 116700, 127145, 9174, 33334, 33334, 57980, 58426, 75146, 107253, 109518, 16144, 5486, 2031, 97049, 39442, 112624, 16144, 27452, 15682, 88852, 16144, 19732, 108086, 38641, 9174, 12, 101377, 110226, 8027, 15, 32307, 56040, 52118, 11227, 32307, 198, 12, 101377, 110226, 20772, 56040, 8027, 15, 32307, 52118, 9335, 32307, 198, 12, 101377, 110226, 14648, 56040, 20772, 32307, 52118, 3080, 32307, 198, 12, 127935, 14648, 32307, 52118, 1399, 32307, 198, 12, 109450, 102865, 101634, 70821, 85188, 101083, 115351, 66776, 111681, 85188, 96555, 8107, 35330, 110226, 17701, 66115, 27113, 110743, 88852, 52118, 1958, 32307, 198, 126843, 85707, 62004, 20230, 5486, 118075, 23530, 102865, 101634, 16144, 13177, 198, 75910, 106528, 33563, 117126, 30046, 10646, 102416, 102782, 109311, 30512, 20834, 78434, 9174, 80539, 5486, 119560, 75910, 106528, 33563, 117126, 30046, 55031, 13177, 198, 75910, 106528, 102099, 109972, 106529, 109518, 110322, 31958, 102181, 118587, 102404, 23039, 120837, 110706, 5486, 126892, 37271, 27479, 15682, 77693, 30512, 114001, 47000, 56051, 102782, 109311, 102181, 30512, 13177, 124908, 109519, 33563, 117126, 30046, 10646, 102416, 118664, 78434, 9174, 30591, 107118, 5486, 75910, 106528, 33563, 117126, 30046, 9458, 103242, 109519, 33563, 117126, 112919, 77693, 108422, 33121, 55031, 124237, 16995, 114941, 15024, 109518, 16144, 46456, 110698, 30512, 75293, 43514, 33541, 9174, 58426, 122756, 111476, 103242, 109519, 33563, 117126, 30046, 15682, 75910, 106528, 33563, 117126, 30046, 20230, 49412, 96, 120436, 110698, 109518, 16144, 89046, 117139, 30512, 78434, 9174, 58426, 74482, 5486, 49412, 97, 124237, 16995, 114941, 15024, 103087, 35330, 29295, 198, 46456, 110698, 84389, 33541, 9174, 2118, 101778, 108931, 117255, 67645, 102944, 103242, 109519, 106382, 89874, 112361, 102433, 72661, 5486, 119208, 113468, 45829, 67645, 102944, 103242, 109519, 106382, 102052, 104364, 115991, 33541, 9174, 110382, 77181, 198, 101778, 108931, 117255, 67645, 102944, 103242, 109519, 114305, 109853, 108948, 87177, 78434, 9174, 101778, 108931, 16144, 107803, 5486, 108729, 112535, 39442, 81258, 48864, 116581, 10110, 60596, 97049, 39442, 112624, 7705, 109853, 15682, 5486, 33035, 94923, 9458, 17701, 94923, 106382, 16144, 16995, 101860, 33121, 32977, 103129, 13153, 84389, 33541, 9174, 122270, 111476, 25963, 34617, 24775, 15682, 121270, 48864, 124305, 101275, 10110, 104577, 102781, 104378, 81258, 48864, 116581, 7705, 17129, 77181, 5486, 17701, 94923, 125344, 104364, 109518, 16144, 102832, 105404, 31640, 9458, 33035, 94923, 39177, 10110, 16, 18904, 1049, 35757, 7705, 116749, 20230, 102099, 109972, 106529, 54926, 102944, 15682, 124897, 9174, 85701, 20230, 21601, 107290, 94134, 33014, 16144, 103129, 13153, 32977, 101182, 103846, 111476, 103350, 105284, 123331, 124305, 101275, 103296, 103242, 109519, 106382, 15682, 108270, 42634, 102677, 100909, 115717, 33541, 1811, 104179, 24775, 5486, 115728, 31640, 101129, 24775, 15682, 34226, 20230, 46034, 112950, 16995, 122521, 117824, 76947, 108086, 5486, 49409, 24775, 77181, 972, 97049, 103296, 117255, 67645, 32977, 102052, 5486, 17701, 94923, 106382, 30512, 103129, 13153, 1811, 103633, 31640, 101129, 24775, 15682, 117734, 21990, 113115, 15024, 5486, 33035, 94923, 9458, 17701, 94923, 107173, 20230, 103129, 13153, 127145, 9174, 567, 220, 25963, 109517, 254, 106529, 109518, 15682, 105184, 103350, 20230, 115079, 21601, 54926, 106609, 17905, 61304, 103296, 29295, 5486, 112599, 16144, 103242, 109519, 114305, 109853, 38641, 9174, 110382, 126328, 114715, 120987, 112197, 87177, 30512, 109768, 50834, 33541, 9174, 126843, 118288, 8107, 15682, 5486, 102321, 107734, 105360, 64121, 16144, 32938, 50928, 107407, 45736, 106036, 95, 30046, 29295, 5486, 102099, 109972, 106529, 109518, 29295, 34617, 111017, 121711, 79721, 9174, 77181, 37271, 74482, 123085, 16144, 103242, 109519, 106382, 114305, 15682, 104405, 109020, 105879, 109954, 32149, 95532, 14711, 119767, 38093, 118788, 106382, 19732, 112686, 75513, 198, 105212, 120332, 13393, 251, 77181, 112599, 5486, 88852, 16144, 25963, 118821, 105908, 111800, 118219, 116216, 61689, 9174, 12, 220, 2075, 97049, 71689, 29295, 118065, 54926, 5486, 74482, 23538, 45736, 106036, 95, 103242, 109519, 33563, 117126, 113245, 103826, 104680, 26854, 13177, 117355, 114485, 66378, 27452, 117503, 91774, 74245, 15024, 198, 12, 220, 75910, 106528, 33563, 117126, 60868, 113649, 117718, 102099, 109972, 106529, 109518, 16144, 115079, 21601, 10110, 679, 23, 8107, 103911, 23187, 23954, 26854, 112371, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 15682, 5486, 8107, 104680, 115079, 21601, 109768, 47884, 105879, 109954, 32149, 95532, 122582, 105047, 106266, 26854, 198, 45736, 106036, 95, 33208, 113468, 5486, 103242, 109519, 106382, 30512, 27704, 62004, 117408, 106222, 118788, 106382, 29295, 114114, 245, 27384, 15024, 106307, 76622, 100934, 120266, 57903, 33541, 9174, 121410, 8107, 198, 20713, 6708, 228, 35757, 106045, 54872, 16556, 115079, 58942, 106307, 107441, 108086, 115847, 29295, 109517, 94, 75513, 30512, 121819, 117598, 15024, 5486, 103826, 104680, 26854, 91774, 74245, 15024, 30512, 89783, 118273, 103470, 127145, 9174, 115079, 27384, 30512, 106307, 105784, 106222, 118788, 106382, 30512, 5486, 85188, 35330, 19732, 109972, 101427, 113, 30512, 115079, 126172, 118733, 105321, 110162, 83812, 226, 103836, 112973, 5486, 37046, 29295, 125525, 102321, 103397, 38641, 9174, 14711, 73028, 95, 17129, 110104, 83747, 45829, 45736, 106036, 95, 33208, 198, 103242, 109519, 16144, 102099, 109972, 106529, 109518, 115079, 21601, 16144, 5486, 119045, 109904, 113385, 15682, 13177, 198, 83747, 45829, 45736, 106036, 95, 33208, 10646, 115717, 33541, 9174, 10110, 83747, 45829, 45736, 106036, 95, 33208, 103378, 29295, 113385, 77181, 124897, 29295, 1811, 23954, 80673, 110371, 83747, 45829, 45736, 106036, 95, 33208, 29295, 82533, 115464, 91774, 121423, 15682, 124897, 9174, 20834, 21990, 96455, 15682, 17297, 104989, 30512, 106307, 76622, 122603, 106036, 95, 30046, 15682, 115079, 58942, 106307, 107441, 61689, 9174, 6280, 15, 8107, 102052, 5486, 16, 107707, 45736, 106036, 95, 112919, 103242, 109519, 106382, 30512, 198, 20713, 25963, 13, 20713, 107707, 102321, 107734, 101083, 31640, 16556, 46456, 58942, 100481, 79721, 9174, 80673, 112599, 77181, 5486, 679, 17, 8107, 102052, 198, 25963, 13, 60596, 17792, 16556, 20713, 107707, 45736, 106036, 95, 30046, 30512, 46456, 107290, 108086, 5486, 11056, 15, 8107, 102052, 220, 20713, 13, 34617, 17792, 16556, 46456, 58942, 100481, 107188, 118145, 26854, 31431, 107515, 9174, 34226, 20230, 102987, 106145, 33208, 56051, 107803, 5486, 20713, 13, 27113, 17792, 88852, 117084, 114732, 115789, 5486, 114392, 20230, 113727, 102204, 33541, 9174, 120550, 100472, 107803, 5486, 102321, 107734, 101083, 31640, 16144, 85188, 35330, 77181, 37087, 47884, 111983, 58942, 123733, 31431, 33541, 9174, 53900, 5486, 2366, 20, 8107, 102052, 13177, 198, 108638, 59657, 232, 16144, 101083, 31640, 10646, 29295, 2075, 97049, 71689, 16144, 74482, 23538, 45736, 106036, 95, 30046, 121711, 33541, 9174, 45736, 106036, 95, 101983, 104984, 112672, 5486, 103429, 95221, 71289, 31634, 75910, 106528, 16144, 112997, 29220, 15682, 45736, 109709, 5486, 103242, 109519, 106382, 29295, 109215, 38641, 9174, 105212, 103306, 15682, 110371, 13177, 108638, 59657, 232, 16144, 101083, 31640, 10646, 29295, 2031, 97049, 71689, 108176, 2366, 15, 8107, 103296, 20230, 5486, 103242, 109519, 9458, 75910, 106528, 114305, 119254, 30512, 103130, 109315, 106592, 5486, 30832, 105888, 103306, 61689, 9174, 567, 220, 34617, 63091, 17620, 16144, 96356, 15682, 105994, 16556, 106154, 30369, 198, 77181, 37271, 74482, 5486, 105576, 104680, 115079, 58942, 100481, 47884, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 109518, 16144, 115079, 21601, 109606, 9174, 108618, 104611, 106272, 115847, 30512, 102456, 16995, 82533, 109315, 102052, 108008, 20230, 82973, 29295, 32149, 107277, 102131, 38641, 9174, 111482, 16144, 106222, 103130, 20834, 20230, 112183, 16995, 5486, 20834, 21990, 96455, 15682, 17297, 29295, 107462, 50834, 33541, 29295, 115847, 30512, 11881, 242, 119775, 114941, 17663, 109335, 32977, 15682, 71289, 16937, 88367, 123253, 9174, 127303, 104984, 5486, 111482, 29295, 122502, 50834, 106272, 32977, 51385, 64209, 39926, 45829, 101662, 38144, 29295, 106084, 30369, 106222, 20230, 109768, 47884, 105908, 109215, 119627, 5486, 112073, 98369, 32977, 33334, 17620, 107277, 26854, 104466, 116898, 126910, 114305, 17905, 102131, 16995, 100472, 122521, 122291, 103306, 32977, 5486, 103350, 106222, 71289, 108695, 20230, 27699, 116, 108950, 109768, 47884, 104468, 82973, 29295, 32149, 107277, 33541, 9174, 119254, 30512, 90620, 75293, 59739, 126036, 112160, 17792, 15120, 114754, 106084, 30369, 106592, 54926, 125231, 118816, 112391, 33541, 9174, 14711, 108837, 98, 104915, 16556, 107991, 105908, 99849, 105755, 16144, 107792, 103664, 198, 40265, 115926, 123628, 100909, 119627, 5486, 113614, 16556, 16995, 104984, 103242, 109519, 106382, 15682, 77693, 108680, 32149, 107277, 107515, 9174, 10110, 113614, 120761, 64889, 104309, 15682, 23187, 23538, 112535, 16995, 47884, 125231, 119627, 1811, 23954, 37271, 74482, 105576, 104680, 5486, 113614, 16556, 107991, 105908, 15120, 87217, 16144, 107792, 103664, 117282, 113146, 124259, 70141, 32149, 107462, 50834, 33541, 9174, 80673, 113614, 26854, 111006, 107118, 5486, 110589, 31958, 9080, 16556, 46034, 109156, 30369, 102944, 77181, 124897, 9174, 101544, 116358, 108882, 64121, 30358, 101832, 113468, 104654, 108710, 101557, 96, 103429, 115717, 33541, 9174, 59739, 109709, 77693, 120577, 103429, 95221, 30512, 103181, 104699, 102052, 5486, 101544, 8107, 95221, 30512, 122382, 106307, 76622, 123207, 105110, 100604, 102677, 100909, 38641, 9174, 58426, 104466, 104655, 126145, 5486, 113461, 32149, 15120, 21990, 16937, 111764, 108176, 116499, 39926, 103801, 61689, 29295, 117119, 32977, 32149, 32977, 30512, 17599, 117, 104792, 112535, 95221, 116825, 76622, 123207, 105110, 100604, 102677, 113334, 77181, 124897, 9174, 109215, 71689, 20230, 101365, 106613, 105284, 115717, 5486, 95221, 116825, 76622, 120195, 30369, 115789, 32149, 58942, 76947, 71634, 108744, 121711, 33541, 9174, 26854, 105879, 5486, 120098, 30512, 126128, 107800, 17905, 16556, 108149, 109709, 25132, 223, 19113, 102729, 99, 62004, 101983, 121140, 5486, 109431, 27479, 20230, 111764, 103195, 106592, 33334, 125683, 62004, 78434, 9174, 567, 220, 46702, 108837, 98, 104915, 111363, 103983, 105564, 15682, 13177, 104473, 107654, 111329, 77181, 5486, 17905, 61304, 16144, 13177, 120098, 66383, 15682, 99849, 123253, 32149, 95532, 122571, 85701, 15682, 13177, 198, 104473, 107654, 10646, 118816, 78698, 107290, 61689, 9174, 110382, 16556, 95604, 104473, 107654, 102052, 36896, 198, 104473, 89753, 9458, 104473, 107654, 16144, 105284, 9458, 104473, 36651, 16144, 104195, 27479, 10646, 104309, 29295, 96412, 17129, 106824, 61689, 9174, 112844, 17129, 72661, 124897, 29295, 5486, 104473, 107654, 107118, 5486, 107707, 33014, 126694, 30369, 75146, 17920, 236, 117282, 15308, 226, 113598, 72238, 30512 ]
[ 5486, 33014, 126867, 103768, 104369, 107734, 111017, 31431, 30512, 127145, 9174, 80539, 104473, 89753, 15682, 15308, 226, 113598, 30512, 103768, 104369, 22398, 70563, 65575, 5486, 104473, 107654, 16144, 105284, 15682, 15308, 226, 113598, 72238, 16144, 105284, 10110, 108321, 16144, 105284, 65459, 104473, 36651, 15682, 45893, 116787, 5486, 67645, 33121, 32977, 124490, 107441, 15682, 105110, 100604, 102677, 109335, 5486, 112073, 98369, 105352, 33334, 17620, 107277, 123253, 9174, 77181, 58426, 113009, 115408, 104067, 15682, 99849, 123410, 103854, 112495, 105879, 109954, 95532, 14711, 78507, 222, 89753, 30512, 114652, 54926, 198, 104473, 89753, 30512, 114652, 54926, 113009, 107693, 26854, 109335, 13177, 198, 111006, 30512, 104840, 109315, 100909, 10646, 38641, 9174, 118789, 9554, 102052, 88852, 16144, 19732, 108086, 38641, 9174, 12, 114424, 118959, 10110, 1272, 112631, 25580, 74482, 23954, 12, 220, 22957, 17129, 62004, 26854, 33014, 104840, 104873, 107792, 198, 12, 104102, 102, 27479, 26854, 117401, 198, 12, 106004, 25827, 20230, 47884, 5486, 21990, 21589, 250, 104309, 111006, 30512, 104840, 109315, 119008, 198, 107707, 33014, 15682, 86127, 104067, 29295, 91763, 103836, 126036, 106142, 58942, 126172, 47884, 5486, 95221, 116825, 76622, 126386, 19732, 114225, 20230, 106142, 107290, 103801, 61689, 9174, 53900, 5486, 106142, 58942, 16144, 113385, 117282, 102944, 32977, 115408, 104067, 29295, 91763, 103836, 126036, 5486, 101860, 104043, 104654, 107809, 20230, 43240, 47884, 119100, 104127, 61689, 9174, 14711, 78507, 222, 107654, 16144, 105284, 30512, 109415, 30369, 198, 104473, 107654, 16144, 105284, 30512, 32335, 32977, 112825, 110904, 20230, 109415, 30369, 41007, 15682, 13177, 102456, 30926, 10646, 116787, 5486, 66378, 20230, 13177, 117587, 105284, 117503, 99046, 224, 31431, 24273, 102052, 114392, 20230, 61633, 29295, 109215, 38641, 9174, 104473, 107654, 126867, 89783, 100472, 117587, 15682, 123334, 29295, 38144, 16325, 34171, 121496, 57942, 103, 124259, 104721, 33208, 78434, 9174, 80539, 5486, 17620, 50338, 116216, 47260, 44971, 106826, 42634, 64178, 104856, 76947, 114732, 16144, 38641, 9174, 47260, 44971, 106826, 42634, 64178, 102052, 13177, 12615, 43, 66383, 13177, 39, 16931, 117503, 25963, 104091, 104770, 115991, 33541, 9174, 13177, 39, 16931, 10646, 102052, 89783, 17620, 26854, 47260, 44971, 106826, 42634, 64178, 30512, 18904, 110226, 54926, 107734, 111017, 31431, 115991, 5486, 80539, 51330, 89783, 17620, 26854, 47260, 44971, 106826, 42634, 64178, 102677, 112973, 13177, 12615, 43, 10646, 38641, 9174, 105284, 16144, 109161, 16995, 104473, 107654, 107118, 36896, 12615, 43, 47260, 44971, 106826, 42634, 64178, 10646, 29295, 127181, 104473, 107654, 16144, 106592, 64467, 78434, 9174, 12615, 43, 47260, 44971, 106826, 42634, 64178, 30512, 114485, 124949, 5486, 39, 16931, 47260, 44971, 106826, 42634, 64178, 30512, 115079, 126172, 102052, 88852, 120950, 119008, 30512, 108882, 110993, 112535, 99046, 224, 18655, 54926, 104466, 103801, 109954, 9174, 12, 18049, 112, 68759, 10110, 104473, 107654, 30512, 45923, 42634, 45923, 42634, 117657, 76706, 34171, 108602, 72238, 16144, 115079, 21601, 30512, 126128, 105262, 23954, 12, 125372, 108171, 10110, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 5486, 102456, 53953, 103721, 232, 109205, 104309, 29295, 119515, 105469, 23954, 12, 111054, 115371, 10110, 35, 17455, 9458, 36, 8201, 29295, 104473, 16325, 16144, 89783, 17620, 26854, 12615, 43, 47260, 44971, 106826, 42634, 64178, 30512, 114485, 33503, 17663, 23954, 14711, 78507, 222, 36651, 30512, 104195, 47884, 54926, 198, 104473, 36651, 37026, 33014, 105352, 103826, 104680, 26854, 112997, 29220, 115991, 33541, 9174, 12, 119786, 105, 47884, 109020, 198, 12, 104626, 108, 115464, 198, 12, 20033, 229, 104028, 198, 12, 104102, 123, 105784, 198, 71689, 16144, 112997, 29220, 29295, 113727, 102204, 33541, 9174, 13177, 104473, 36651, 30512, 104195, 47884, 54926, 100909, 10646, 121960, 107693, 26854, 28542, 15682, 13177, 114485, 59657, 102, 10646, 54926, 100909, 38641, 9174, 59657, 102, 17620, 58426, 102944, 32977, 5486, 104473, 36651, 30512, 114218, 109315, 113385, 121711, 33541, 29295, 5486, 59657, 102, 17620, 16144, 99046, 224, 31431, 120195, 16556, 104473, 121819, 29295, 109415, 104533, 5486, 32943, 105871, 104398, 112506, 29295, 114218, 59739, 50834, 5486, 121432, 29295, 103167, 17297, 78434, 9174, 26854, 105879, 88852, 120950, 109335, 5486, 108608, 103378, 111098, 105784, 104466, 103801, 109954, 9174, 12, 116814, 102, 5486, 105194, 97, 104754, 5486, 103868, 101042, 234, 5486, 102741, 61398, 5486, 45923, 44971, 26269, 57207, 94550, 50667, 16144, 104873, 103868, 42506, 198, 12, 107399, 231, 16144, 117041, 25446, 10110, 102040, 91062, 71289, 102832, 38248, 111, 16073, 50667, 23954, 12, 116201, 112, 31431, 105107, 25446, 10110, 32149, 17129, 109416, 22957, 50667, 23954, 12, 116814, 102, 119154, 80631, 100, 10110, 127567, 22957, 50667, 23954, 12, 75677, 110, 53953, 198, 12, 110385, 105, 53953, 198, 53900, 5486, 110577, 20230, 33014, 32943, 20230, 105623, 226, 108882, 116216, 103801, 103836, 59657, 102, 17620, 30512, 61056, 20834, 54926, 119008, 102052, 88852, 120950, 102944, 115991, 33541, 9174, 12, 101678, 117203, 105107, 25446, 198, 12, 109283, 102508, 119, 104770, 198, 12, 116561, 42634, 108768, 117733, 198, 85701, 120577, 119008, 15682, 5486, 118006, 72661, 118430, 118095, 20230, 99046, 224, 18655, 54926, 106592, 90962, 22398, 22398, 39850, 78434, 9174, 567, 220, 60596, 83639, 123090, 198, 118544, 32149, 16556, 56051, 32149, 95532, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 109518, 115079, 21601, 109606, 15682, 5486, 8107, 104680, 102987, 106145, 33208, 127145, 29295, 5486, 37087, 38144, 15682, 113614, 127303, 104984, 30591, 109709, 109606, 111769, 100909, 38641, 9174, 80539, 77693, 102052, 13177, 104473, 89753, 9458, 104473, 107654, 16144, 105284, 9458, 104473, 36651, 16144, 104195, 30813, 10646, 104309, 30512, 110022, 40862, 56051, 13177, 104473, 107654, 118587, 23226, 106594, 15024, 5486, 33563, 107462, 47884, 105908, 109215, 38641, 9174, 92877, 123470, 104874, 58942, 15682, 198, 2118, 111006, 863, 55031, 6447, 111006, 16144, 104874, 58942, 15682, 1054, 37271, 863, 55031, 6447, 128001, 128000, 567, 123252, 108, 123575, 107964, 229, 107707, 13372, 78244, 18276, 4428, 735, 9451, 307, 26261, 198, 827, 45631, 44597, 118821, 45918, 241, 16995, 111329, 40526, 15682, 17792, 30512, 119680, 33541, 112690, 71289, 99750, 118835, 16144, 112690, 30512, 112844, 113009, 33655, 33334, 30297, 9174, 108870, 15682, 107707, 112690, 30512, 114626, 103296, 36735, 112, 102532, 122765, 30369, 113009, 33655, 33334, 30297, 9174, 30832, 15682, 107707, 57980, 16995, 110229, 114447, 113009, 33655, 33334, 30297, 9174, 46034, 102780, 15682, 17792, 30512, 103129, 105784, 113009, 33655, 33334, 30297, 9174, 64209, 15682, 107707, 108631, 64121, 29295, 78183, 117295, 113009, 33655, 33334, 30297, 9174, 827, 123252, 108, 123575, 107964, 229, 17792, 18276, 4428, 735, 9451, 307, 26261, 198, 114341, 102446, 46729, 13177, 51609, 16144, 107141, 101275, 10646, 24186, 16325, 104575, 105964, 100927, 104599, 220, 5162, 20, 56040, 198, 107420, 106384, 64178, 198, 99849, 30512, 76208, 99750, 16556, 112391, 38144, 76171, 57326, 67075, 54926, 32149, 15682, 115132, 125916, 57326, 67075, 29295, 58426, 117375, 30512, 28713, 104369, 25827, 20230, 101682, 76622, 33541, 55031, 114318, 111243, 27384, 102769, 26854, 100909, 125651, 9174, 90620, 43240, 119064, 107803, 5486, 76208, 99750, 16556, 112391, 104533, 112844, 105755, 15682, 5486, 76208, 99750, 16556, 112391, 38144, 78698, 107800, 102944, 30512, 76171, 57326, 67075, 103792, 123253, 9174, 22656, 37507, 91774, 28713, 102944, 71289, 109835, 103468, 102944, 104309, 15682, 99750, 34171, 5486, 119100, 19000, 101171, 111, 29295, 22656, 105284, 104088, 113487, 102532, 61689, 9174, 26854, 105879, 58426, 78698, 107800, 102944, 126194, 123213, 37507, 16144, 112391, 28713, 102944, 20230, 108526, 38248, 104, 22398, 39926, 102987, 47884, 112391, 100481, 76622, 81219, 5486, 27452, 116285, 112391, 28713, 53953, 71289, 107707, 22656, 105284, 5486, 112844, 26854, 104984, 126521, 110229, 20230, 16205, 123, 31431, 100815, 50834, 33541, 55031, 108048, 30512, 76171, 57326, 67075, 109768, 104984, 39880, 125916, 57326, 67075, 32977, 58426, 126521, 110229, 30512, 112391, 28713, 95543, 106608, 115717, 33541, 9174, 27452, 116285, 109161, 37689, 16144, 101182, 112690, 30512, 80172, 102639, 126929, 109115, 103306, 32977, 5486, 99750, 34171, 77181, 58426, 113385, 71289, 22656, 105284, 30512, 112391, 127280, 55031, 106116, 27384, 103268, 16144, 31634, 63212, 103195, 105994, 29295, 80172, 102639, 32149, 107674, 76739, 124643, 104603, 11972, 20230, 113385, 29295, 30591, 104984, 100927, 107290, 47884, 106824, 86790, 115717, 33541, 101832, 9174, 53900, 64209, 30512, 108526, 38248, 104, 22398, 56051, 120007, 120332, 16144, 22656, 105284, 32977, 99750, 34171, 15682, 107391, 108981, 127145, 105879, 108048, 30512, 102987, 47884, 112391, 100481, 76622, 81219, 126521, 110229, 71289, 108631, 64121, 20230, 16205, 123, 31431, 100815, 50834, 33541, 9174, 85701, 30512, 80172, 102639, 126929, 109115, 112690, 37026, 33014, 16144, 115552, 71289, 5486, 110498, 103836, 125641, 104309, 30512, 125456, 16556, 78698, 107290, 125641, 20230, 113801, 110968, 39926, 114732, 105908, 127181, 105879, 125641, 20230, 123927, 18904, 116216, 114732, 100909, 115717, 33541, 9174, 99750, 34171, 16556, 112391, 30369, 100909, 55031, 5486, 125456, 16556, 113727, 125641, 20230, 113801, 110968, 17663, 17129, 77181, 5486, 126654, 107188, 82973, 107809, 16556, 23039, 26854, 78183, 106824, 61689, 29295, 5486, 114652, 114652, 112391, 38144, 64121, 104533, 99750, 34171, 16556, 112391, 28713, 100909, 106046, 78698, 16556, 78698, 107800, 100909, 16144, 121953, 29295, 78183, 107277, 33541, 9174, 43240, 119064, 107803, 5486, 126521, 110229, 104088, 59739, 105784, 102677, 104468, 125456, 16144, 108761, 103438, 16556, 23039, 26854, 123671, 33541, 105879, 110371, 108761, 103438, 16556, 77693, 30512, 103350, 102321, 109768, 47884, 102052, 125456, 108710, 101557, 96, 30512, 102131, 109768, 47884, 67016, 124897, 9174, 90620, 125456, 23897, 112772, 99750, 34171, 16556, 13177, 112391, 30369, 10646, 102944, 30512, 27384, 102769, 20230, 109768, 47884, 118733, 5486, 76171, 57326, 67075, 107001, 102944, 29295, 108010, 76947, 50834, 33541, 55031, 5486, 125456, 108710, 101557, 96, 30512, 96356, 107294, 105784, 71689, 16144, 117375, 30512, 39880, 125916, 57326, 67075, 20230, 58318, 105262, 100909, 115717, 33541, 9174, 108710, 101557, 96, 30512, 72404, 58942, 108710, 101557, 96, 30512, 32977, 64531, 105262, 105908, 123213, 105284, 30512, 13177, 112391, 30369, 10646, 106592, 27384, 102769, 117657, 118733, 113598, 123671, 100481, 50834, 33541, 9174, 112371, 104328, 9080, 40053, 16144, 30591, 33503, 106644, 30369, 75267, 28190, 16556, 125456, 106046, 99750, 16144, 121953, 30512, 112391, 17620, 107441, 72315, 9174, 85701, 15682, 30591, 112568, 16144, 22656, 105284, 71289, 119100, 19000, 106556, 30512, 113801, 121406, 120266, 108008, 20230, 107693, 26854, 100909, 115717, 33541, 9174, 99750, 34171, 5486, 119100, 19000, 101171, 111, 29295, 112391, 28713, 106592, 17905, 124475, 107391, 108981, 109768, 126145, 108149, 33503, 106644, 30369, 75267, 28190, 113245, 78244, 91875, 29295, 114225, 20230, 124500, 107462, 50834, 33541, 9174, 58426, 39880, 125916, 57326, 67075, 20230, 105324, 106608, 54926, 104466, 108149, 112568, 16144, 120073, 5486, 106556, 32977, 122270, 103130, 33208, 109768, 50834, 33541, 15024, 5486, 21105, 103, 71289, 32149, 30813, 104840, 32149, 30813, 20230, 102987, 64121, 29295, 115079, 109768, 50834, 33541, 57980, 1811, 128001, 128000, 2, 220, 60596, 111017, 29295, 124807, 76739, 67075, 20230, 21388, 113529, 54926, 6447, 41920, 27479, 19732, 37823, 66953, 65299, 102860, 21105, 103, 102334, 62004, 16144, 113385, 19732, 103359, 105226, 198, 33334, 57980, 27929, 124807, 76739, 67075, 20230, 19653, 56051, 107707, 117591, 5486, 60596, 111017, 5486, 32977, 106624, 15682, 77693, 71689, 16144, 114754, 37823, 66953, 65299, 102860, 20230, 14309, 98, 104533, 117952, 106824, 61689, 9174, 124807, 76739, 67075, 16556, 114652, 101182, 21388, 113529, 107118, 5486, 37823, 66953, 65299, 102860, 38641, 1811, 29295, 25827, 81219, 76947, 33014, 30358, 30512, 102936, 114267, 110115, 108948, 113351, 15682, 2243, 121, 42891, 22957, 31431, 101402, 32977, 32977, 71289, 117395, 16144, 112371, 16995, 107079, 32977, 19732, 33121, 101860, 31195, 107943, 109335, 124897, 32149, 9174, 37271, 18904, 15682, 127862, 27479, 19732, 37823, 66953, 65299, 102860, 21105, 103, 102334, 62004, 16144, 113385, 19732, 103359, 105226, 109853, 5486, 48154, 126362, 102334, 78434, 9174, 567, 108791, 66953, 65299, 102860, 21105, 103, 102334, 62004, 20230, 53283, 76947, 33334, 102334, 118881, 29295, 104712, 100909, 198, 15120, 39177, 112535, 101576, 102, 72342, 111243, 124807, 76739, 67075, 25580, 105755, 33014, 30358, 29295, 115079, 107290, 103801, 76947, 15682, 5486, 115552, 115991, 107515, 1811, 126843, 15682, 37823, 66953, 65299, 102860, 21105, 103, 102334, 62004, 20230, 53283, 76947, 33334, 102334, 118881, 29295, 104712, 106592, 48154, 126362, 78434, 9174, 14711, 116196, 224, 57942, 103, 30512, 102936, 19732, 17663, 19732, 5486, 119049, 107079, 32977, 120175, 30369, 198, 67645, 33121, 103378, 29295, 25827, 81219, 76947, 124807, 76739, 67075, 120837, 5486, 121496, 57942, 103, 19732, 107173, 20230, 119049, 107079, 32977, 120175, 100481, 50834, 33541, 1811, 119049, 107079, 29295, 120175, 104533, 112160, 117073, 75146, 17920, 236, 31640, 118835, 33857, 29295, 114485, 31431, 5486, 33420, 106382, 71493, 42634, 102540, 29295, 33420, 106382, 103082, 103470, 109020, 105879, 5486, 121496, 57942, 103, 29295, 59739, 50834, 126172, 16995, 33014, 117084, 103801, 61689, 9174, 37823, 66953, 65299, 102860, 39926, 103801, 76947, 5486, 53900, 124807, 76739, 67075, 30512, 21105, 103, 16995, 102083, 124324, 16449, 16449, 102677, 105933, 121894, 30512, 106307, 107441, 114732, 19732, 5486, 119049, 107079, 33857, 29295, 114485, 31431, 5486, 75146, 17920, 236, 31640, 118835, 33857, 29295, 114485, 76947, 124807, 76739, 67075, 15024, 20230, 47884, 115737, 31431, 33541, 1811, 43568, 22649, 26854, 124807, 76739, 67075, 15682, 103851, 58942, 17129, 109954, 9174, 14711, 114617, 244, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 37823, 66953, 65299, 102860, 16144, 112997, 29220, 107407, 198, 37271, 89753, 23039, 111331, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 32335, 32977, 8239, 114503, 109904, 124807, 76739, 67075, 41007, 112028, 59739, 38641, 9174, 58426, 114667, 15682, 36896, 121496, 57942, 103, 115717, 126172 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5486, 33014, 126867, 103768, 104369, 107734, 111017, 31431, 30512, 127145, 9174, 80539, 104473, 89753, 15682, 15308, 226, 113598, 30512, 103768, 104369, 22398, 70563, 65575, 5486, 104473, 107654, 16144, 105284, 15682, 15308, 226, 113598, 72238, 16144, 105284, 10110, 108321, 16144, 105284, 65459, 104473, 36651, 15682, 45893, 116787, 5486, 67645, 33121, 32977, 124490, 107441, 15682, 105110, 100604, 102677, 109335, 5486, 112073, 98369, 105352, 33334, 17620, 107277, 123253, 9174, 77181, 58426, 113009, 115408, 104067, 15682, 99849, 123410, 103854, 112495, 105879, 109954, 95532, 14711, 78507, 222, 89753, 30512, 114652, 54926, 198, 104473, 89753, 30512, 114652, 54926, 113009, 107693, 26854, 109335, 13177, 198, 111006, 30512, 104840, 109315, 100909, 10646, 38641, 9174, 118789, 9554, 102052, 88852, 16144, 19732, 108086, 38641, 9174, 12, 114424, 118959, 10110, 1272, 112631, 25580, 74482, 23954, 12, 220, 22957, 17129, 62004, 26854, 33014, 104840, 104873, 107792, 198, 12, 104102, 102, 27479, 26854, 117401, 198, 12, 106004, 25827, 20230, 47884, 5486, 21990, 21589, 250, 104309, 111006, 30512, 104840, 109315, 119008, 198, 107707, 33014, 15682, 86127, 104067, 29295, 91763, 103836, 126036, 106142, 58942, 126172, 47884, 5486, 95221, 116825, 76622, 126386, 19732, 114225, 20230, 106142, 107290, 103801, 61689, 9174, 53900, 5486, 106142, 58942, 16144, 113385, 117282, 102944, 32977, 115408, 104067, 29295, 91763, 103836, 126036, 5486, 101860, 104043, 104654, 107809, 20230, 43240, 47884, 119100, 104127, 61689, 9174, 14711, 78507, 222, 107654, 16144, 105284, 30512, 109415, 30369, 198, 104473, 107654, 16144, 105284, 30512, 32335, 32977, 112825, 110904, 20230, 109415, 30369, 41007, 15682, 13177, 102456, 30926, 10646, 116787, 5486, 66378, 20230, 13177, 117587, 105284, 117503, 99046, 224, 31431, 24273, 102052, 114392, 20230, 61633, 29295, 109215, 38641, 9174, 104473, 107654, 126867, 89783, 100472, 117587, 15682, 123334, 29295, 38144, 16325, 34171, 121496, 57942, 103, 124259, 104721, 33208, 78434, 9174, 80539, 5486, 17620, 50338, 116216, 47260, 44971, 106826, 42634, 64178, 104856, 76947, 114732, 16144, 38641, 9174, 47260, 44971, 106826, 42634, 64178, 102052, 13177, 12615, 43, 66383, 13177, 39, 16931, 117503, 25963, 104091, 104770, 115991, 33541, 9174, 13177, 39, 16931, 10646, 102052, 89783, 17620, 26854, 47260, 44971, 106826, 42634, 64178, 30512, 18904, 110226, 54926, 107734, 111017, 31431, 115991, 5486, 80539, 51330, 89783, 17620, 26854, 47260, 44971, 106826, 42634, 64178, 102677, 112973, 13177, 12615, 43, 10646, 38641, 9174, 105284, 16144, 109161, 16995, 104473, 107654, 107118, 36896, 12615, 43, 47260, 44971, 106826, 42634, 64178, 10646, 29295, 127181, 104473, 107654, 16144, 106592, 64467, 78434, 9174, 12615, 43, 47260, 44971, 106826, 42634, 64178, 30512, 114485, 124949, 5486, 39, 16931, 47260, 44971, 106826, 42634, 64178, 30512, 115079, 126172, 102052, 88852, 120950, 119008, 30512, 108882, 110993, 112535, 99046, 224, 18655, 54926, 104466, 103801, 109954, 9174, 12, 18049, 112, 68759, 10110, 104473, 107654, 30512, 45923, 42634, 45923, 42634, 117657, 76706, 34171, 108602, 72238, 16144, 115079, 21601, 30512, 126128, 105262, 23954, 12, 125372, 108171, 10110, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 5486, 102456, 53953, 103721, 232, 109205, 104309, 29295, 119515, 105469, 23954, 12, 111054, 115371, 10110, 35, 17455, 9458, 36, 8201, 29295, 104473, 16325, 16144, 89783, 17620, 26854, 12615, 43, 47260, 44971, 106826, 42634, 64178, 30512, 114485, 33503, 17663, 23954, 14711, 78507, 222, 36651, 30512, 104195, 47884, 54926, 198, 104473, 36651, 37026, 33014, 105352, 103826, 104680, 26854, 112997, 29220, 115991, 33541, 9174, 12, 119786, 105, 47884, 109020, 198, 12, 104626, 108, 115464, 198, 12, 20033, 229, 104028, 198, 12, 104102, 123, 105784, 198, 71689, 16144, 112997, 29220, 29295, 113727, 102204, 33541, 9174, 13177, 104473, 36651, 30512, 104195, 47884, 54926, 100909, 10646, 121960, 107693, 26854, 28542, 15682, 13177, 114485, 59657, 102, 10646, 54926, 100909, 38641, 9174, 59657, 102, 17620, 58426, 102944, 32977, 5486, 104473, 36651, 30512, 114218, 109315, 113385, 121711, 33541, 29295, 5486, 59657, 102, 17620, 16144, 99046, 224, 31431, 120195, 16556, 104473, 121819, 29295, 109415, 104533, 5486, 32943, 105871, 104398, 112506, 29295, 114218, 59739, 50834, 5486, 121432, 29295, 103167, 17297, 78434, 9174, 26854, 105879, 88852, 120950, 109335, 5486, 108608, 103378, 111098, 105784, 104466, 103801, 109954, 9174, 12, 116814, 102, 5486, 105194, 97, 104754, 5486, 103868, 101042, 234, 5486, 102741, 61398, 5486, 45923, 44971, 26269, 57207, 94550, 50667, 16144, 104873, 103868, 42506, 198, 12, 107399, 231, 16144, 117041, 25446, 10110, 102040, 91062, 71289, 102832, 38248, 111, 16073, 50667, 23954, 12, 116201, 112, 31431, 105107, 25446, 10110, 32149, 17129, 109416, 22957, 50667, 23954, 12, 116814, 102, 119154, 80631, 100, 10110, 127567, 22957, 50667, 23954, 12, 75677, 110, 53953, 198, 12, 110385, 105, 53953, 198, 53900, 5486, 110577, 20230, 33014, 32943, 20230, 105623, 226, 108882, 116216, 103801, 103836, 59657, 102, 17620, 30512, 61056, 20834, 54926, 119008, 102052, 88852, 120950, 102944, 115991, 33541, 9174, 12, 101678, 117203, 105107, 25446, 198, 12, 109283, 102508, 119, 104770, 198, 12, 116561, 42634, 108768, 117733, 198, 85701, 120577, 119008, 15682, 5486, 118006, 72661, 118430, 118095, 20230, 99046, 224, 18655, 54926, 106592, 90962, 22398, 22398, 39850, 78434, 9174, 567, 220, 60596, 83639, 123090, 198, 118544, 32149, 16556, 56051, 32149, 95532, 103242, 109519, 106382, 16144, 102099, 109972, 106529, 109518, 115079, 21601, 109606, 15682, 5486, 8107, 104680, 102987, 106145, 33208, 127145, 29295, 5486, 37087, 38144, 15682, 113614, 127303, 104984, 30591, 109709, 109606, 111769, 100909, 38641, 9174, 80539, 77693, 102052, 13177, 104473, 89753, 9458, 104473, 107654, 16144, 105284, 9458, 104473, 36651, 16144, 104195, 30813, 10646, 104309, 30512, 110022, 40862, 56051, 13177, 104473, 107654, 118587, 23226, 106594, 15024, 5486, 33563, 107462, 47884, 105908, 109215, 38641, 9174, 92877, 123470, 104874, 58942, 15682, 198, 2118, 111006, 863, 55031, 6447, 111006, 16144, 104874, 58942, 15682, 1054, 37271, 863, 55031, 6447, 128001, 128000, 567, 123252, 108, 123575, 107964, 229, 107707, 13372, 78244, 18276, 4428, 735, 9451, 307, 26261, 198, 827, 45631, 44597, 118821, 45918, 241, 16995, 111329, 40526, 15682, 17792, 30512, 119680, 33541, 112690, 71289, 99750, 118835, 16144, 112690, 30512, 112844, 113009, 33655, 33334, 30297, 9174, 108870, 15682, 107707, 112690, 30512, 114626, 103296, 36735, 112, 102532, 122765, 30369, 113009, 33655, 33334, 30297, 9174, 30832, 15682, 107707, 57980, 16995, 110229, 114447, 113009, 33655, 33334, 30297, 9174, 46034, 102780, 15682, 17792, 30512, 103129, 105784, 113009, 33655, 33334, 30297, 9174, 64209, 15682, 107707, 108631, 64121, 29295, 78183, 117295, 113009, 33655, 33334, 30297, 9174, 827, 123252, 108, 123575, 107964, 229, 17792, 18276, 4428, 735, 9451, 307, 26261, 198, 114341, 102446, 46729, 13177, 51609, 16144, 107141, 101275, 10646, 24186, 16325, 104575, 105964, 100927, 104599, 220, 5162, 20, 56040, 198, 107420, 106384, 64178, 198, 99849, 30512, 76208, 99750, 16556, 112391, 38144, 76171, 57326, 67075, 54926, 32149, 15682, 115132, 125916, 57326, 67075, 29295, 58426, 117375, 30512, 28713, 104369, 25827, 20230, 101682, 76622, 33541, 55031, 114318, 111243, 27384, 102769, 26854, 100909, 125651, 9174, 90620, 43240, 119064, 107803, 5486, 76208, 99750, 16556, 112391, 104533, 112844, 105755, 15682, 5486, 76208, 99750, 16556, 112391, 38144, 78698, 107800, 102944, 30512, 76171, 57326, 67075, 103792, 123253, 9174, 22656, 37507, 91774, 28713, 102944, 71289, 109835, 103468, 102944, 104309, 15682, 99750, 34171, 5486, 119100, 19000, 101171, 111, 29295, 22656, 105284, 104088, 113487, 102532, 61689, 9174, 26854, 105879, 58426, 78698, 107800, 102944, 126194, 123213, 37507, 16144, 112391, 28713, 102944, 20230, 108526, 38248, 104, 22398, 39926, 102987, 47884, 112391, 100481, 76622, 81219, 5486, 27452, 116285, 112391, 28713, 53953, 71289, 107707, 22656, 105284, 5486, 112844, 26854, 104984, 126521, 110229, 20230, 16205, 123, 31431, 100815, 50834, 33541, 55031, 108048, 30512, 76171, 57326, 67075, 109768, 104984, 39880, 125916, 57326, 67075, 32977, 58426, 126521, 110229, 30512, 112391, 28713, 95543, 106608, 115717, 33541, 9174, 27452, 116285, 109161, 37689, 16144, 101182, 112690, 30512, 80172, 102639, 126929, 109115, 103306, 32977, 5486, 99750, 34171, 77181, 58426, 113385, 71289, 22656, 105284, 30512, 112391, 127280, 55031, 106116, 27384, 103268, 16144, 31634, 63212, 103195, 105994, 29295, 80172, 102639, 32149, 107674, 76739, 124643, 104603, 11972, 20230, 113385, 29295, 30591, 104984, 100927, 107290, 47884, 106824, 86790, 115717, 33541, 101832, 9174, 53900, 64209, 30512, 108526, 38248, 104, 22398, 56051, 120007, 120332, 16144, 22656, 105284, 32977, 99750, 34171, 15682, 107391, 108981, 127145, 105879, 108048, 30512, 102987, 47884, 112391, 100481, 76622, 81219, 126521, 110229, 71289, 108631, 64121, 20230, 16205, 123, 31431, 100815, 50834, 33541, 9174, 85701, 30512, 80172, 102639, 126929, 109115, 112690, 37026, 33014, 16144, 115552, 71289, 5486, 110498, 103836, 125641, 104309, 30512, 125456, 16556, 78698, 107290, 125641, 20230, 113801, 110968, 39926, 114732, 105908, 127181, 105879, 125641, 20230, 123927, 18904, 116216, 114732, 100909, 115717, 33541, 9174, 99750, 34171, 16556, 112391, 30369, 100909, 55031, 5486, 125456, 16556, 113727, 125641, 20230, 113801, 110968, 17663, 17129, 77181, 5486, 126654, 107188, 82973, 107809, 16556, 23039, 26854, 78183, 106824, 61689, 29295, 5486, 114652, 114652, 112391, 38144, 64121, 104533, 99750, 34171, 16556, 112391, 28713, 100909, 106046, 78698, 16556, 78698, 107800, 100909, 16144, 121953, 29295, 78183, 107277, 33541, 9174, 43240, 119064, 107803, 5486, 126521, 110229, 104088, 59739, 105784, 102677, 104468, 125456, 16144, 108761, 103438, 16556, 23039, 26854, 123671, 33541, 105879, 110371, 108761, 103438, 16556, 77693, 30512, 103350, 102321, 109768, 47884, 102052, 125456, 108710, 101557, 96, 30512, 102131, 109768, 47884, 67016, 124897, 9174, 90620, 125456, 23897, 112772, 99750, 34171, 16556, 13177, 112391, 30369, 10646, 102944, 30512, 27384, 102769, 20230, 109768, 47884, 118733, 5486, 76171, 57326, 67075, 107001, 102944, 29295, 108010, 76947, 50834, 33541, 55031, 5486, 125456, 108710, 101557, 96, 30512, 96356, 107294, 105784, 71689, 16144, 117375, 30512, 39880, 125916, 57326, 67075, 20230, 58318, 105262, 100909, 115717, 33541, 9174, 108710, 101557, 96, 30512, 72404, 58942, 108710, 101557, 96, 30512, 32977, 64531, 105262, 105908, 123213, 105284, 30512, 13177, 112391, 30369, 10646, 106592, 27384, 102769, 117657, 118733, 113598, 123671, 100481, 50834, 33541, 9174, 112371, 104328, 9080, 40053, 16144, 30591, 33503, 106644, 30369, 75267, 28190, 16556, 125456, 106046, 99750, 16144, 121953, 30512, 112391, 17620, 107441, 72315, 9174, 85701, 15682, 30591, 112568, 16144, 22656, 105284, 71289, 119100, 19000, 106556, 30512, 113801, 121406, 120266, 108008, 20230, 107693, 26854, 100909, 115717, 33541, 9174, 99750, 34171, 5486, 119100, 19000, 101171, 111, 29295, 112391, 28713, 106592, 17905, 124475, 107391, 108981, 109768, 126145, 108149, 33503, 106644, 30369, 75267, 28190, 113245, 78244, 91875, 29295, 114225, 20230, 124500, 107462, 50834, 33541, 9174, 58426, 39880, 125916, 57326, 67075, 20230, 105324, 106608, 54926, 104466, 108149, 112568, 16144, 120073, 5486, 106556, 32977, 122270, 103130, 33208, 109768, 50834, 33541, 15024, 5486, 21105, 103, 71289, 32149, 30813, 104840, 32149, 30813, 20230, 102987, 64121, 29295, 115079, 109768, 50834, 33541, 57980, 1811, 128001, 128000, 2, 220, 60596, 111017, 29295, 124807, 76739, 67075, 20230, 21388, 113529, 54926, 6447, 41920, 27479, 19732, 37823, 66953, 65299, 102860, 21105, 103, 102334, 62004, 16144, 113385, 19732, 103359, 105226, 198, 33334, 57980, 27929, 124807, 76739, 67075, 20230, 19653, 56051, 107707, 117591, 5486, 60596, 111017, 5486, 32977, 106624, 15682, 77693, 71689, 16144, 114754, 37823, 66953, 65299, 102860, 20230, 14309, 98, 104533, 117952, 106824, 61689, 9174, 124807, 76739, 67075, 16556, 114652, 101182, 21388, 113529, 107118, 5486, 37823, 66953, 65299, 102860, 38641, 1811, 29295, 25827, 81219, 76947, 33014, 30358, 30512, 102936, 114267, 110115, 108948, 113351, 15682, 2243, 121, 42891, 22957, 31431, 101402, 32977, 32977, 71289, 117395, 16144, 112371, 16995, 107079, 32977, 19732, 33121, 101860, 31195, 107943, 109335, 124897, 32149, 9174, 37271, 18904, 15682, 127862, 27479, 19732, 37823, 66953, 65299, 102860, 21105, 103, 102334, 62004, 16144, 113385, 19732, 103359, 105226, 109853, 5486, 48154, 126362, 102334, 78434, 9174, 567, 108791, 66953, 65299, 102860, 21105, 103, 102334, 62004, 20230, 53283, 76947, 33334, 102334, 118881, 29295, 104712, 100909, 198, 15120, 39177, 112535, 101576, 102, 72342, 111243, 124807, 76739, 67075, 25580, 105755, 33014, 30358, 29295, 115079, 107290, 103801, 76947, 15682, 5486, 115552, 115991, 107515, 1811, 126843, 15682, 37823, 66953, 65299, 102860, 21105, 103, 102334, 62004, 20230, 53283, 76947, 33334, 102334, 118881, 29295, 104712, 106592, 48154, 126362, 78434, 9174, 14711, 116196, 224, 57942, 103, 30512, 102936, 19732, 17663, 19732, 5486, 119049, 107079, 32977, 120175, 30369, 198, 67645, 33121, 103378, 29295, 25827, 81219, 76947, 124807, 76739, 67075, 120837, 5486, 121496, 57942, 103, 19732, 107173, 20230, 119049, 107079, 32977, 120175, 100481, 50834, 33541, 1811, 119049, 107079, 29295, 120175, 104533, 112160, 117073, 75146, 17920, 236, 31640, 118835, 33857, 29295, 114485, 31431, 5486, 33420, 106382, 71493, 42634, 102540, 29295, 33420, 106382, 103082, 103470, 109020, 105879, 5486, 121496, 57942, 103, 29295, 59739, 50834, 126172, 16995, 33014, 117084, 103801, 61689, 9174, 37823, 66953, 65299, 102860, 39926, 103801, 76947, 5486, 53900, 124807, 76739, 67075, 30512, 21105, 103, 16995, 102083, 124324, 16449, 16449, 102677, 105933, 121894, 30512, 106307, 107441, 114732, 19732, 5486, 119049, 107079, 33857, 29295, 114485, 31431, 5486, 75146, 17920, 236, 31640, 118835, 33857, 29295, 114485, 76947, 124807, 76739, 67075, 15024, 20230, 47884, 115737, 31431, 33541, 1811, 43568, 22649, 26854, 124807, 76739, 67075, 15682, 103851, 58942, 17129, 109954, 9174, 14711, 114617, 244, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 37823, 66953, 65299, 102860, 16144, 112997, 29220, 107407, 198, 37271, 89753, 23039, 111331, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 32335, 32977, 8239, 114503, 109904, 124807, 76739, 67075, 41007, 112028, 59739, 38641, 9174, 58426, 114667, 15682, 36896, 121496, 57942, 103, 115717, 126172 ]
[ 16995, 117587, 105284, 118587, 107792, 44416, 54926, 118733, 5486, 121496, 57942, 103, 30512, 114485, 33503, 17663, 102677, 102944, 119627, 106116, 17620, 37823, 66953, 65299, 102860, 16144, 112997, 29220, 29295, 115442, 76947, 103801, 61689, 9174, 86127, 126027, 33014, 15682, 5486, 163, 65620, 53610, 33208, 53953, 5486, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 104309, 118969, 75694, 17129, 26854, 15308, 226, 113598, 72238, 55031, 113614, 30512, 109205, 69978, 127145, 1811, 99849, 116421, 15308, 226, 113598, 72238, 30512, 44416, 48249, 39926, 15682, 5486, 112672, 109688, 117126, 29295, 112183, 30297, 102677, 100909, 125651, 9174, 567, 108791, 66953, 65299, 102860, 21105, 103, 102334, 62004, 16144, 103359, 105226, 107118, 95532, 108936, 109904, 124807, 76739, 67075, 30512, 19653, 124545, 109243, 29245, 96, 107118, 112160, 117073, 75146, 17920, 236, 31640, 118835, 33857, 30512, 53283, 31431, 5486, 99046, 224, 18655, 54926, 76739, 124643, 104603, 11972, 33857, 30512, 83747, 103470, 54926, 100909, 38641, 1811, 32977, 43514, 85791, 25827, 66953, 93488, 117718, 126521, 15308, 226, 113598, 72238, 30512, 99046, 224, 18655, 21105, 103, 29295, 33503, 5486, 109431, 27479, 26854, 117401, 126130, 22957, 26854, 100472, 110674, 113637, 108729, 30512, 106154, 30369, 118733, 5486, 37823, 66953, 65299, 102860, 21105, 98, 33503, 115737, 31431, 33541, 9174, 110382, 77181, 37823, 66953, 65299, 102860, 107118, 127091, 11571, 30512, 23226, 107436, 122984, 78434, 9174, 14711, 108791, 66953, 65299, 102860, 107118, 127091, 95532, 13177, 37823, 66953, 65299, 102860, 66383, 15682, 5486, 67645, 120950, 121894, 30512, 20379, 17663, 104865, 5486, 108031, 127637, 123011, 107436, 33334, 50834, 33541, 101832, 9174, 13177, 37823, 66953, 65299, 102860, 66383, 15682, 5486, 124807, 76739, 67075, 20230, 19653, 56051, 30591, 19732, 5486, 33014, 30358, 29295, 117382, 16144, 53610, 107253, 20230, 114941, 100472, 31431, 5486, 101182, 16995, 15682, 77693, 71689, 20230, 115079, 107290, 114732, 113702, 30512, 64467, 78434, 9174, 117382, 105755, 33014, 30358, 29295, 115079, 107290, 114732, 13177, 37823, 66953, 65299, 102860, 10646, 15682, 5486, 116292, 102800, 120208, 117084, 103801, 61689, 1811, 112361, 21388, 113529, 30512, 103721, 108, 31431, 104196, 30813, 100604, 101200, 5486, 34617, 118821, 108729, 109904, 37823, 66953, 65299, 102860, 21105, 103, 16995, 103359, 105226, 30512, 78698, 107290, 64121, 17129, 109954, 9174, 14711, 107824, 22649, 26854, 102456, 30926, 44416, 48249, 30512, 21105, 103, 16995, 198, 27452, 116285, 5486, 89753, 23039, 111331, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 126130, 22957, 26854, 30297, 116446, 32977, 5486, 117587, 105284, 16144, 31640, 78183, 112586, 107079, 122416, 30512, 102456, 115694, 99046, 224, 18655, 71493, 42634, 102540, 29295, 112361, 77181, 5486, 8239, 114503, 15682, 116213, 47884, 109020, 123253, 9174, 115598, 100472, 102456, 30926, 30512, 106307, 107441, 61689, 19732, 5486, 101921, 116, 32943, 117501, 32977, 109161, 33208, 15024, 126172, 115737, 31431, 33541, 109807, 113702, 115132, 44971, 33710, 104603, 11972, 5486, 117587, 126017, 103429, 71289, 91875, 101171, 230, 110567, 33208, 123160, 103429, 95221, 16144, 112997, 29220, 29295, 45736, 47884, 109020, 115789, 9174, 117587, 105284, 30512, 37087, 47884, 18655, 33503, 104435, 31431, 5486, 66378, 23187, 16144, 15308, 226, 113598, 72238, 67016, 99046, 224, 18655, 21105, 103, 16995, 105933, 102456, 30926, 44416, 48249, 15682, 5486, 37823, 66953, 65299, 102860, 16144, 112997, 29220, 30512, 109415, 38144, 5486, 124807, 76739, 67075, 15024, 20230, 47884, 115737, 31431, 33541, 1811, 66953, 119930, 103424, 47884, 15308, 226, 113598, 30512, 99046, 224, 30369, 106592, 64209, 29295, 76622, 17129, 109954, 9174, 14711, 18049, 230, 47884, 101042, 249, 104127, 125764, 30369, 198, 110993, 79982, 20230, 71493, 42634, 102540, 99046, 224, 18655, 33857, 30512, 114485, 117063, 81219, 5486, 106649, 23538, 112535, 33014, 30358, 15682, 114485, 31431, 33541, 1811, 90620, 15024, 108048, 15682, 33014, 121496, 57942, 103, 29295, 114485, 83747, 109768, 104533, 107173, 20230, 5486, 53610, 17620, 33857, 71289, 119049, 107079, 33857, 32977, 114485, 83747, 103792, 125396, 115991, 33541, 9174, 125764, 30369, 18904, 9039, 30512, 115079, 126172, 100909, 113468, 5486, 112624, 113351, 99750, 30512, 112391, 126172, 47884, 124545, 115789, 27384, 30926, 1811, 102456, 30926, 20230, 43240, 47884, 82973, 30512, 19732, 31431, 106272, 5486, 66953, 93488, 117718, 126521, 102456, 30926, 30512, 19732, 30369, 106592, 113727, 17129, 109954, 101832, 9174, 14711, 104102, 233, 91875, 30512, 108167, 17701, 104028, 198, 124807, 76739, 67075, 16144, 113009, 27704, 109013, 117401, 15682, 5486, 124807, 76739, 67075, 30512, 121355, 109013, 119400, 55031, 5486, 112361, 47884, 121355, 107436, 114732, 105908, 57903, 33541, 1811, 22649, 101067, 103306, 15682, 5486, 124807, 76739, 67075, 74482, 32977, 106307, 76622, 110071, 101200, 5486, 104654, 107809, 20230, 108167, 17701, 103468, 117401, 29295, 104712, 125651, 9174, 28713, 19732, 116285, 5486, 33035, 114731, 16144, 104983, 20230, 20713, 103449, 17620, 105564, 102532, 64121, 115926, 5486, 37026, 110362, 72661, 108608, 71634, 44971, 108981, 71289, 119049, 20251, 44971, 104309, 9174, 121410, 117073, 108710, 101557, 96, 16144, 26854, 111201, 108618, 30369, 105933, 5486, 105994, 20230, 40862, 100472, 117401, 71289, 76739, 29220, 60868, 115844, 15682, 5486, 101182, 113314, 71493, 42634, 102540, 33420, 106382, 29295, 108618, 30369, 103846, 5486, 37823, 66953, 65299, 102860, 15024, 20230, 47884, 115737, 31431, 33541, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 32149, 11571, 37271, 18904, 15682, 127862, 27479, 19732, 37823, 66953, 65299, 102860, 21105, 103, 16995, 103359, 105226, 30512, 48154, 126362, 121256, 9174, 124807, 76739, 67075, 20230, 19653, 56051, 74245, 74482, 5486, 75293, 103836, 104468, 13177, 37823, 66953, 65299, 102860, 10646, 38641, 1811, 37823, 66953, 65299, 102860, 15682, 5486, 29295, 25827, 81219, 76947, 124807, 76739, 67075, 30512, 19653, 56051, 17792, 108680, 5486, 64209, 55487, 108176, 102944, 38641, 1811, 38641, 55031, 5486, 124807, 76739, 67075, 102052, 5486, 37823, 66953, 65299, 102860, 103359, 105226, 29295, 109947, 124490, 38641, 1811, 105994, 125030, 76947, 112160, 87217, 51385, 64209, 108608, 41007, 16556, 112160, 105564, 15120, 105564, 25580, 103130, 109768, 50834, 17129, 109954, 9174, 110241, 5486, 124807, 76739, 67075, 20230, 48249, 98220, 30512, 112391, 127567, 115515, 16144, 124807, 76739, 67075, 41007, 30512, 50021, 111813, 108608, 114363, 103722, 46729, 5486, 32977, 106624, 15682, 107167, 122842, 30512, 120824, 106824, 64121, 17129, 109954, 115397, 17792, 77181, 118765, 39880, 107420, 113335, 16556, 108149, 112568, 30512, 60868, 121057, 39926, 120700, 33541, 1811, 128001, 128000, 2, 34676, 4977, 37026, 19967, 16144, 64209, 50928, 11199, 20251, 32131, 112193, 30512, 111098, 105784, 103846, 5486, 101721, 39084, 37729, 33857, 15682, 43240, 62004, 16144, 102944, 20230, 119607, 198, 567, 63091, 19967, 39276, 80805, 102741, 109713, 16144, 20251, 32131, 112193, 20230, 127181, 5486, 101721, 39084, 16144, 108901, 40053, 198, 40265, 72516, 20230, 110794, 104526, 17129, 104028, 80805, 102741, 109713, 16144, 23951, 22649, 103963, 117943, 15682, 43240, 104680, 57903, 33541, 29295, 108948, 65854, 103826, 116907, 125845, 80805, 102741, 109713, 20230, 50520, 111, 102800, 53283, 31431, 40862, 16995, 29295, 80805, 109089, 30512, 102647, 104127, 37026, 19967, 56051, 106046, 126832, 80805, 102741, 109713, 20230, 66378, 20230, 127181, 112973, 5486, 101721, 39084, 18904, 31431, 113245, 20251, 32131, 112193, 38641, 9174, 12, 106030, 68581, 67075, 99959, 115691, 41190, 126198, 16144, 101983, 107188, 32149, 105721, 35287, 72342, 101860, 91875, 19967, 93488, 57326, 29295, 33420, 119841, 198, 12, 110147, 39084, 22398, 25197, 108981, 30512, 110408, 120837, 101721, 39084, 29295, 17701, 110104, 107803, 107407, 198, 12, 107964, 251, 124475, 72718, 91875, 54926, 107803, 107407, 198, 12, 69839, 235, 72718, 91875, 30512, 103721, 108, 31431, 104196, 17663, 107803, 107407, 198, 12, 5099, 198, 110904, 116254, 20230, 13177, 127258, 106824, 114604, 66383, 95604, 107803, 32977, 57903, 33541, 29295, 115408, 16144, 106613, 111186, 17905, 13177, 125821, 101721, 39084, 37729, 33857, 29295, 119448, 16995, 102944, 105110, 112185, 27384, 121313, 103351, 110115, 66383, 16995, 100472, 126465, 29295, 127181, 38641, 9174, 12, 110147, 39084, 108152, 78683, 67075, 16144, 121507, 101198, 22398, 16556, 5486, 109215, 26854, 101721, 48634, 29295, 105184, 33563, 103082, 126386, 198, 12, 107879, 226, 102189, 40265, 85707, 15682, 110008, 37729, 119318, 116310, 32943, 103351, 29295, 5486, 123090, 17039, 102800, 80805, 109089, 30512, 18655, 47000, 9458, 39209, 109033, 56051, 104983, 20230, 33420, 106382, 101721, 48634, 29295, 115079, 107800, 198, 12, 107879, 234, 8107, 8239, 96, 33208, 16556, 101721, 39084, 108152, 78683, 67075, 37026, 33014, 16144, 20834, 48634, 29295, 120175, 28713, 198, 12, 101961, 34048, 16144, 80805, 109089, 29295, 89783, 82420, 20230, 101721, 123457, 102456, 30297, 101200, 110276, 198, 59739, 109709, 80805, 102741, 109713, 30512, 103214, 104004, 39177, 102052, 5486, 33655, 102334, 16995, 80805, 109089, 29295, 109215, 117408, 17620, 105755, 43240, 62004, 16144, 20834, 48634, 16144, 101721, 39084, 108152, 78683, 67075, 30512, 103214, 64121, 104526, 104127, 33334, 76622, 81219, 5486, 20251, 32131, 112193, 16144, 102404, 21990, 105184, 96455, 30512, 17297, 102639, 5486, 51385, 23187, 39926, 33655, 105262, 117232, 29295, 101544, 47884, 109020, 113334, 125651, 9174, 567, 63091, 17620, 16556, 103214, 104004, 39177, 72661, 101721, 39084, 20230, 89783, 116664, 15682, 69978, 28713, 72342, 106956, 198, 105994, 16556, 105994, 11883, 16144, 80805, 102741, 109713, 126694, 30369, 104983, 102052, 120953, 120837, 88852, 120950, 37689, 109375, 29295, 122502, 50834, 29295, 43514, 38641, 9174, 12, 220, 109020, 103854, 47884, 47260, 71634, 30512, 17297, 102639, 106956, 198, 12, 114163, 16144, 118463, 20230, 74245, 102971, 54926, 105494, 10110, 32715, 5486, 111134, 106384, 48552, 103672, 65575, 104309, 7705, 107898, 35330, 30512, 115856, 76622, 106956, 198, 12, 107964, 243, 50834, 30813, 58942, 126693, 126521, 198, 12, 220, 104405, 72342, 9039, 8107, 16556, 53900, 17039, 106624, 54926, 55031, 10110, 101544, 23538, 16144, 51385, 23187, 34171, 30512, 117355, 103984, 23954, 12, 125867, 61398, 20230, 47000, 103204, 107113, 101721, 39084, 124905, 102334, 16995, 5486, 103283, 20230, 11883, 37689, 54926, 104468, 28190, 105987, 198, 12, 87109, 77913, 40862, 29295, 72718, 50834, 38144, 55031, 113727, 104984, 126521, 10110, 105994, 16556, 39209, 109033, 126693, 57980, 16995, 23954, 119627, 116898, 75694, 109606, 29295, 102404, 21990, 39926, 114732, 19732, 5486, 119526, 29295, 21388, 78183, 106824, 114604, 31431, 5486, 32149, 58942, 76947, 89783, 82420, 26854, 47260, 71634, 29295, 115856, 126469, 103801, 61689, 1811, 80805, 102741, 109713, 22656, 33014, 16144, 101721, 39084, 108152, 78683, 67075, 15682, 5486, 109020, 103854, 47884, 89783, 116664, 114792, 28713, 127397, 18655, 47000, 105784, 118881, 119279, 53508, 100, 62004, 38641, 9174, 80805, 109089, 102895, 103830, 16144, 111234, 52884, 116229, 104309, 16556, 115364, 103214, 115226, 80805, 102741, 109713, 16144, 33420, 106382, 101721, 48634, 16144, 122282, 126198, 17905, 16556, 5486, 122270, 58426, 17, 98406, 16144, 37729, 33857, 30512, 11883, 37689, 54926, 112973, 22649, 101067, 38641, 9174, 567, 102362, 20230, 92148, 110, 30369, 126513, 126738, 15120, 114050, 16144, 61633, 30512, 1811, 72342, 107436, 15120, 78244, 114001, 107290, 198, 115364, 33655, 78183, 123733, 100472, 80805, 102741, 109713, 30512, 118133, 17297, 29295, 31431, 10646, 16556, 92148, 110, 110968, 56051, 31431, 5486, 122626, 54926, 126465, 32977, 114652, 91774, 102204, 33541, 109807, 104983, 102052, 5486, 45163, 37507, 125119, 31431, 50928, 30369, 109606, 109853, 32977, 124097, 103350, 20230, 108044, 107290, 33334, 47884, 104466, 56051, 16995, 102944, 38641, 9174, 40265, 72516, 102052, 13177, 17792, 55031, 32977, 33503, 100472, 80805, 102741, 109713, 10646, 109853, 16144, 110482, 31431, 30926, 50021, 111813, 29295, 107188, 31431, 43240, 47884, 108385, 72342, 102204, 33541, 1811, 116292, 102800, 100909, 119627, 5486, 105994, 29295, 33655, 30297, 103378, 33655, 76947, 5486, 74482, 15682, 114225, 20230, 102147, 226, 30832, 115717, 120550, 80805, 102741, 109713, 30512, 39850, 33710, 71493, 37823, 104309, 16556, 45736, 47884, 105525, 31431, 59739, 105784, 1981, 102083, 100472, 27452, 32977, 48706, 78434, 59459, 108729, 109904, 118463, 15682, 116696, 48552, 120837, 5486, 101721, 39084, 16144, 8239, 96, 33208, 77913, 40862, 104309, 15682, 102178, 111665, 119607, 119703, 38641, 55031, 5486, 67645, 33121, 108680, 80805, 102741, 109713, 20230, 50520, 111, 106624, 111243, 30926, 112772, 91774, 113487, 47884, 109335, 110482, 111108, 38641, 23954, 53900, 5486, 92148, 110, 30369, 110366, 29295, 112997, 29220, 37026, 33014, 30512, 37026, 112854, 109768, 100604, 107803, 32977, 57903, 33541, 1811, 19732, 105352, 32149, 47884, 105352, 5486, 37026, 19967, 39276, 80805, 102741, 109713, 16144, 102159, 114516, 18655, 73686, 15682, 74482, 104680, 20230, 20251, 32131, 112193, 108176, 125396, 29295, 125261, 9554, 126574, 38641, 1811, 110241, 127091, 16556, 33334, 110482, 111331, 104983, 15682, 5486, 40265, 72516, 103296, 48154, 50021, 111813, 72315, 1811, 128001, 128000, 101182, 104575, 120650, 124324, 36827, 102280, 116581, 29295, 5486, 9039, 8107, 32149, 107441, 111108, 102800, 9039, 29430, 30512, 102404, 31958, 39926, 102667, 16144, 116891, 126365, 72342, 28713, 110229, 110745, 50834, 47884, 102936, 124533, 103646, 102677, 87177, 107407, 110162, 100604, 110162, 9174, 37026, 48634, 16556, 9039, 29430, 30512, 102404, 31958, 54926, 109335, 12870, 226, 16995, 30926, 119627, 5486, 110577, 117083, 53283, 109375, 15682, 100927, 70626, 102181, 71289, 105408, 20230, 104655, 76622, 81219, 112825, 110904, 20230, 78183, 117295, 118733, 5486, 9039, 8107, 102677, 82973, 121142, 103470, 120073, 30512, 32977, 43568, 102147, 226, 116446, 114732, 102677, 87177, 38641, 9174, 85701, 15682, 101662, 116581, 32977, 112361, 16556, 5486, 106518, 17129, 103468, 122416, 16144, 109657, 108056, 120007, 20230, 106081, 23039, 126845, 125144, 21105, 103, 29295, 33503, 101662, 125655, 126036, 5486, 101662, 116581, 22656, 104309, 30512, 121846, 20230, 21105, 103, 29295, 33503, 127032, 16144, 101083, 87177, 126198, 24273, 29295, 30250, 98, 111201, 105509, 16556, 56965, 121953, 29295, 83747, 123733, 31431, 33541, 9174, 90620, 5486, 127032, 102052, 121568, 104364, 107407, 105879, 37087, 38144, 30512, 68759, 118331, 107908, 20230, 123532, 16995, 101662, 116581 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16995, 117587, 105284, 118587, 107792, 44416, 54926, 118733, 5486, 121496, 57942, 103, 30512, 114485, 33503, 17663, 102677, 102944, 119627, 106116, 17620, 37823, 66953, 65299, 102860, 16144, 112997, 29220, 29295, 115442, 76947, 103801, 61689, 9174, 86127, 126027, 33014, 15682, 5486, 163, 65620, 53610, 33208, 53953, 5486, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 104309, 118969, 75694, 17129, 26854, 15308, 226, 113598, 72238, 55031, 113614, 30512, 109205, 69978, 127145, 1811, 99849, 116421, 15308, 226, 113598, 72238, 30512, 44416, 48249, 39926, 15682, 5486, 112672, 109688, 117126, 29295, 112183, 30297, 102677, 100909, 125651, 9174, 567, 108791, 66953, 65299, 102860, 21105, 103, 102334, 62004, 16144, 103359, 105226, 107118, 95532, 108936, 109904, 124807, 76739, 67075, 30512, 19653, 124545, 109243, 29245, 96, 107118, 112160, 117073, 75146, 17920, 236, 31640, 118835, 33857, 30512, 53283, 31431, 5486, 99046, 224, 18655, 54926, 76739, 124643, 104603, 11972, 33857, 30512, 83747, 103470, 54926, 100909, 38641, 1811, 32977, 43514, 85791, 25827, 66953, 93488, 117718, 126521, 15308, 226, 113598, 72238, 30512, 99046, 224, 18655, 21105, 103, 29295, 33503, 5486, 109431, 27479, 26854, 117401, 126130, 22957, 26854, 100472, 110674, 113637, 108729, 30512, 106154, 30369, 118733, 5486, 37823, 66953, 65299, 102860, 21105, 98, 33503, 115737, 31431, 33541, 9174, 110382, 77181, 37823, 66953, 65299, 102860, 107118, 127091, 11571, 30512, 23226, 107436, 122984, 78434, 9174, 14711, 108791, 66953, 65299, 102860, 107118, 127091, 95532, 13177, 37823, 66953, 65299, 102860, 66383, 15682, 5486, 67645, 120950, 121894, 30512, 20379, 17663, 104865, 5486, 108031, 127637, 123011, 107436, 33334, 50834, 33541, 101832, 9174, 13177, 37823, 66953, 65299, 102860, 66383, 15682, 5486, 124807, 76739, 67075, 20230, 19653, 56051, 30591, 19732, 5486, 33014, 30358, 29295, 117382, 16144, 53610, 107253, 20230, 114941, 100472, 31431, 5486, 101182, 16995, 15682, 77693, 71689, 20230, 115079, 107290, 114732, 113702, 30512, 64467, 78434, 9174, 117382, 105755, 33014, 30358, 29295, 115079, 107290, 114732, 13177, 37823, 66953, 65299, 102860, 10646, 15682, 5486, 116292, 102800, 120208, 117084, 103801, 61689, 1811, 112361, 21388, 113529, 30512, 103721, 108, 31431, 104196, 30813, 100604, 101200, 5486, 34617, 118821, 108729, 109904, 37823, 66953, 65299, 102860, 21105, 103, 16995, 103359, 105226, 30512, 78698, 107290, 64121, 17129, 109954, 9174, 14711, 107824, 22649, 26854, 102456, 30926, 44416, 48249, 30512, 21105, 103, 16995, 198, 27452, 116285, 5486, 89753, 23039, 111331, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 126130, 22957, 26854, 30297, 116446, 32977, 5486, 117587, 105284, 16144, 31640, 78183, 112586, 107079, 122416, 30512, 102456, 115694, 99046, 224, 18655, 71493, 42634, 102540, 29295, 112361, 77181, 5486, 8239, 114503, 15682, 116213, 47884, 109020, 123253, 9174, 115598, 100472, 102456, 30926, 30512, 106307, 107441, 61689, 19732, 5486, 101921, 116, 32943, 117501, 32977, 109161, 33208, 15024, 126172, 115737, 31431, 33541, 109807, 113702, 115132, 44971, 33710, 104603, 11972, 5486, 117587, 126017, 103429, 71289, 91875, 101171, 230, 110567, 33208, 123160, 103429, 95221, 16144, 112997, 29220, 29295, 45736, 47884, 109020, 115789, 9174, 117587, 105284, 30512, 37087, 47884, 18655, 33503, 104435, 31431, 5486, 66378, 23187, 16144, 15308, 226, 113598, 72238, 67016, 99046, 224, 18655, 21105, 103, 16995, 105933, 102456, 30926, 44416, 48249, 15682, 5486, 37823, 66953, 65299, 102860, 16144, 112997, 29220, 30512, 109415, 38144, 5486, 124807, 76739, 67075, 15024, 20230, 47884, 115737, 31431, 33541, 1811, 66953, 119930, 103424, 47884, 15308, 226, 113598, 30512, 99046, 224, 30369, 106592, 64209, 29295, 76622, 17129, 109954, 9174, 14711, 18049, 230, 47884, 101042, 249, 104127, 125764, 30369, 198, 110993, 79982, 20230, 71493, 42634, 102540, 99046, 224, 18655, 33857, 30512, 114485, 117063, 81219, 5486, 106649, 23538, 112535, 33014, 30358, 15682, 114485, 31431, 33541, 1811, 90620, 15024, 108048, 15682, 33014, 121496, 57942, 103, 29295, 114485, 83747, 109768, 104533, 107173, 20230, 5486, 53610, 17620, 33857, 71289, 119049, 107079, 33857, 32977, 114485, 83747, 103792, 125396, 115991, 33541, 9174, 125764, 30369, 18904, 9039, 30512, 115079, 126172, 100909, 113468, 5486, 112624, 113351, 99750, 30512, 112391, 126172, 47884, 124545, 115789, 27384, 30926, 1811, 102456, 30926, 20230, 43240, 47884, 82973, 30512, 19732, 31431, 106272, 5486, 66953, 93488, 117718, 126521, 102456, 30926, 30512, 19732, 30369, 106592, 113727, 17129, 109954, 101832, 9174, 14711, 104102, 233, 91875, 30512, 108167, 17701, 104028, 198, 124807, 76739, 67075, 16144, 113009, 27704, 109013, 117401, 15682, 5486, 124807, 76739, 67075, 30512, 121355, 109013, 119400, 55031, 5486, 112361, 47884, 121355, 107436, 114732, 105908, 57903, 33541, 1811, 22649, 101067, 103306, 15682, 5486, 124807, 76739, 67075, 74482, 32977, 106307, 76622, 110071, 101200, 5486, 104654, 107809, 20230, 108167, 17701, 103468, 117401, 29295, 104712, 125651, 9174, 28713, 19732, 116285, 5486, 33035, 114731, 16144, 104983, 20230, 20713, 103449, 17620, 105564, 102532, 64121, 115926, 5486, 37026, 110362, 72661, 108608, 71634, 44971, 108981, 71289, 119049, 20251, 44971, 104309, 9174, 121410, 117073, 108710, 101557, 96, 16144, 26854, 111201, 108618, 30369, 105933, 5486, 105994, 20230, 40862, 100472, 117401, 71289, 76739, 29220, 60868, 115844, 15682, 5486, 101182, 113314, 71493, 42634, 102540, 33420, 106382, 29295, 108618, 30369, 103846, 5486, 37823, 66953, 65299, 102860, 15024, 20230, 47884, 115737, 31431, 33541, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 32149, 11571, 37271, 18904, 15682, 127862, 27479, 19732, 37823, 66953, 65299, 102860, 21105, 103, 16995, 103359, 105226, 30512, 48154, 126362, 121256, 9174, 124807, 76739, 67075, 20230, 19653, 56051, 74245, 74482, 5486, 75293, 103836, 104468, 13177, 37823, 66953, 65299, 102860, 10646, 38641, 1811, 37823, 66953, 65299, 102860, 15682, 5486, 29295, 25827, 81219, 76947, 124807, 76739, 67075, 30512, 19653, 56051, 17792, 108680, 5486, 64209, 55487, 108176, 102944, 38641, 1811, 38641, 55031, 5486, 124807, 76739, 67075, 102052, 5486, 37823, 66953, 65299, 102860, 103359, 105226, 29295, 109947, 124490, 38641, 1811, 105994, 125030, 76947, 112160, 87217, 51385, 64209, 108608, 41007, 16556, 112160, 105564, 15120, 105564, 25580, 103130, 109768, 50834, 17129, 109954, 9174, 110241, 5486, 124807, 76739, 67075, 20230, 48249, 98220, 30512, 112391, 127567, 115515, 16144, 124807, 76739, 67075, 41007, 30512, 50021, 111813, 108608, 114363, 103722, 46729, 5486, 32977, 106624, 15682, 107167, 122842, 30512, 120824, 106824, 64121, 17129, 109954, 115397, 17792, 77181, 118765, 39880, 107420, 113335, 16556, 108149, 112568, 30512, 60868, 121057, 39926, 120700, 33541, 1811, 128001, 128000, 2, 34676, 4977, 37026, 19967, 16144, 64209, 50928, 11199, 20251, 32131, 112193, 30512, 111098, 105784, 103846, 5486, 101721, 39084, 37729, 33857, 15682, 43240, 62004, 16144, 102944, 20230, 119607, 198, 567, 63091, 19967, 39276, 80805, 102741, 109713, 16144, 20251, 32131, 112193, 20230, 127181, 5486, 101721, 39084, 16144, 108901, 40053, 198, 40265, 72516, 20230, 110794, 104526, 17129, 104028, 80805, 102741, 109713, 16144, 23951, 22649, 103963, 117943, 15682, 43240, 104680, 57903, 33541, 29295, 108948, 65854, 103826, 116907, 125845, 80805, 102741, 109713, 20230, 50520, 111, 102800, 53283, 31431, 40862, 16995, 29295, 80805, 109089, 30512, 102647, 104127, 37026, 19967, 56051, 106046, 126832, 80805, 102741, 109713, 20230, 66378, 20230, 127181, 112973, 5486, 101721, 39084, 18904, 31431, 113245, 20251, 32131, 112193, 38641, 9174, 12, 106030, 68581, 67075, 99959, 115691, 41190, 126198, 16144, 101983, 107188, 32149, 105721, 35287, 72342, 101860, 91875, 19967, 93488, 57326, 29295, 33420, 119841, 198, 12, 110147, 39084, 22398, 25197, 108981, 30512, 110408, 120837, 101721, 39084, 29295, 17701, 110104, 107803, 107407, 198, 12, 107964, 251, 124475, 72718, 91875, 54926, 107803, 107407, 198, 12, 69839, 235, 72718, 91875, 30512, 103721, 108, 31431, 104196, 17663, 107803, 107407, 198, 12, 5099, 198, 110904, 116254, 20230, 13177, 127258, 106824, 114604, 66383, 95604, 107803, 32977, 57903, 33541, 29295, 115408, 16144, 106613, 111186, 17905, 13177, 125821, 101721, 39084, 37729, 33857, 29295, 119448, 16995, 102944, 105110, 112185, 27384, 121313, 103351, 110115, 66383, 16995, 100472, 126465, 29295, 127181, 38641, 9174, 12, 110147, 39084, 108152, 78683, 67075, 16144, 121507, 101198, 22398, 16556, 5486, 109215, 26854, 101721, 48634, 29295, 105184, 33563, 103082, 126386, 198, 12, 107879, 226, 102189, 40265, 85707, 15682, 110008, 37729, 119318, 116310, 32943, 103351, 29295, 5486, 123090, 17039, 102800, 80805, 109089, 30512, 18655, 47000, 9458, 39209, 109033, 56051, 104983, 20230, 33420, 106382, 101721, 48634, 29295, 115079, 107800, 198, 12, 107879, 234, 8107, 8239, 96, 33208, 16556, 101721, 39084, 108152, 78683, 67075, 37026, 33014, 16144, 20834, 48634, 29295, 120175, 28713, 198, 12, 101961, 34048, 16144, 80805, 109089, 29295, 89783, 82420, 20230, 101721, 123457, 102456, 30297, 101200, 110276, 198, 59739, 109709, 80805, 102741, 109713, 30512, 103214, 104004, 39177, 102052, 5486, 33655, 102334, 16995, 80805, 109089, 29295, 109215, 117408, 17620, 105755, 43240, 62004, 16144, 20834, 48634, 16144, 101721, 39084, 108152, 78683, 67075, 30512, 103214, 64121, 104526, 104127, 33334, 76622, 81219, 5486, 20251, 32131, 112193, 16144, 102404, 21990, 105184, 96455, 30512, 17297, 102639, 5486, 51385, 23187, 39926, 33655, 105262, 117232, 29295, 101544, 47884, 109020, 113334, 125651, 9174, 567, 63091, 17620, 16556, 103214, 104004, 39177, 72661, 101721, 39084, 20230, 89783, 116664, 15682, 69978, 28713, 72342, 106956, 198, 105994, 16556, 105994, 11883, 16144, 80805, 102741, 109713, 126694, 30369, 104983, 102052, 120953, 120837, 88852, 120950, 37689, 109375, 29295, 122502, 50834, 29295, 43514, 38641, 9174, 12, 220, 109020, 103854, 47884, 47260, 71634, 30512, 17297, 102639, 106956, 198, 12, 114163, 16144, 118463, 20230, 74245, 102971, 54926, 105494, 10110, 32715, 5486, 111134, 106384, 48552, 103672, 65575, 104309, 7705, 107898, 35330, 30512, 115856, 76622, 106956, 198, 12, 107964, 243, 50834, 30813, 58942, 126693, 126521, 198, 12, 220, 104405, 72342, 9039, 8107, 16556, 53900, 17039, 106624, 54926, 55031, 10110, 101544, 23538, 16144, 51385, 23187, 34171, 30512, 117355, 103984, 23954, 12, 125867, 61398, 20230, 47000, 103204, 107113, 101721, 39084, 124905, 102334, 16995, 5486, 103283, 20230, 11883, 37689, 54926, 104468, 28190, 105987, 198, 12, 87109, 77913, 40862, 29295, 72718, 50834, 38144, 55031, 113727, 104984, 126521, 10110, 105994, 16556, 39209, 109033, 126693, 57980, 16995, 23954, 119627, 116898, 75694, 109606, 29295, 102404, 21990, 39926, 114732, 19732, 5486, 119526, 29295, 21388, 78183, 106824, 114604, 31431, 5486, 32149, 58942, 76947, 89783, 82420, 26854, 47260, 71634, 29295, 115856, 126469, 103801, 61689, 1811, 80805, 102741, 109713, 22656, 33014, 16144, 101721, 39084, 108152, 78683, 67075, 15682, 5486, 109020, 103854, 47884, 89783, 116664, 114792, 28713, 127397, 18655, 47000, 105784, 118881, 119279, 53508, 100, 62004, 38641, 9174, 80805, 109089, 102895, 103830, 16144, 111234, 52884, 116229, 104309, 16556, 115364, 103214, 115226, 80805, 102741, 109713, 16144, 33420, 106382, 101721, 48634, 16144, 122282, 126198, 17905, 16556, 5486, 122270, 58426, 17, 98406, 16144, 37729, 33857, 30512, 11883, 37689, 54926, 112973, 22649, 101067, 38641, 9174, 567, 102362, 20230, 92148, 110, 30369, 126513, 126738, 15120, 114050, 16144, 61633, 30512, 1811, 72342, 107436, 15120, 78244, 114001, 107290, 198, 115364, 33655, 78183, 123733, 100472, 80805, 102741, 109713, 30512, 118133, 17297, 29295, 31431, 10646, 16556, 92148, 110, 110968, 56051, 31431, 5486, 122626, 54926, 126465, 32977, 114652, 91774, 102204, 33541, 109807, 104983, 102052, 5486, 45163, 37507, 125119, 31431, 50928, 30369, 109606, 109853, 32977, 124097, 103350, 20230, 108044, 107290, 33334, 47884, 104466, 56051, 16995, 102944, 38641, 9174, 40265, 72516, 102052, 13177, 17792, 55031, 32977, 33503, 100472, 80805, 102741, 109713, 10646, 109853, 16144, 110482, 31431, 30926, 50021, 111813, 29295, 107188, 31431, 43240, 47884, 108385, 72342, 102204, 33541, 1811, 116292, 102800, 100909, 119627, 5486, 105994, 29295, 33655, 30297, 103378, 33655, 76947, 5486, 74482, 15682, 114225, 20230, 102147, 226, 30832, 115717, 120550, 80805, 102741, 109713, 30512, 39850, 33710, 71493, 37823, 104309, 16556, 45736, 47884, 105525, 31431, 59739, 105784, 1981, 102083, 100472, 27452, 32977, 48706, 78434, 59459, 108729, 109904, 118463, 15682, 116696, 48552, 120837, 5486, 101721, 39084, 16144, 8239, 96, 33208, 77913, 40862, 104309, 15682, 102178, 111665, 119607, 119703, 38641, 55031, 5486, 67645, 33121, 108680, 80805, 102741, 109713, 20230, 50520, 111, 106624, 111243, 30926, 112772, 91774, 113487, 47884, 109335, 110482, 111108, 38641, 23954, 53900, 5486, 92148, 110, 30369, 110366, 29295, 112997, 29220, 37026, 33014, 30512, 37026, 112854, 109768, 100604, 107803, 32977, 57903, 33541, 1811, 19732, 105352, 32149, 47884, 105352, 5486, 37026, 19967, 39276, 80805, 102741, 109713, 16144, 102159, 114516, 18655, 73686, 15682, 74482, 104680, 20230, 20251, 32131, 112193, 108176, 125396, 29295, 125261, 9554, 126574, 38641, 1811, 110241, 127091, 16556, 33334, 110482, 111331, 104983, 15682, 5486, 40265, 72516, 103296, 48154, 50021, 111813, 72315, 1811, 128001, 128000, 101182, 104575, 120650, 124324, 36827, 102280, 116581, 29295, 5486, 9039, 8107, 32149, 107441, 111108, 102800, 9039, 29430, 30512, 102404, 31958, 39926, 102667, 16144, 116891, 126365, 72342, 28713, 110229, 110745, 50834, 47884, 102936, 124533, 103646, 102677, 87177, 107407, 110162, 100604, 110162, 9174, 37026, 48634, 16556, 9039, 29430, 30512, 102404, 31958, 54926, 109335, 12870, 226, 16995, 30926, 119627, 5486, 110577, 117083, 53283, 109375, 15682, 100927, 70626, 102181, 71289, 105408, 20230, 104655, 76622, 81219, 112825, 110904, 20230, 78183, 117295, 118733, 5486, 9039, 8107, 102677, 82973, 121142, 103470, 120073, 30512, 32977, 43568, 102147, 226, 116446, 114732, 102677, 87177, 38641, 9174, 85701, 15682, 101662, 116581, 32977, 112361, 16556, 5486, 106518, 17129, 103468, 122416, 16144, 109657, 108056, 120007, 20230, 106081, 23039, 126845, 125144, 21105, 103, 29295, 33503, 101662, 125655, 126036, 5486, 101662, 116581, 22656, 104309, 30512, 121846, 20230, 21105, 103, 29295, 33503, 127032, 16144, 101083, 87177, 126198, 24273, 29295, 30250, 98, 111201, 105509, 16556, 56965, 121953, 29295, 83747, 123733, 31431, 33541, 9174, 90620, 5486, 127032, 102052, 121568, 104364, 107407, 105879, 37087, 38144, 30512, 68759, 118331, 107908, 20230, 123532, 16995, 101662, 116581 ]
[ 54926, 105908, 5486, 59614, 101860, 15024, 32977, 126521, 113702, 20230, 103721, 233, 29295, 104533, 15682, 48249, 110104, 105879, 106116, 106592, 103892, 16144, 35818, 37795, 227, 109156, 106824, 33334, 47884, 109215, 15682, 101182, 16144, 111769, 32149, 106046, 61689, 9174, 567, 102240, 106036, 95, 20230, 114146, 28713, 106627, 111528, 102456, 16144, 44971, 57207, 70563, 109606, 198, 106627, 111528, 102456, 16144, 44971, 57207, 70563, 22656, 30512, 121846, 20230, 21105, 103, 29295, 33503, 20713, 97049, 117255, 84844, 29295, 125764, 30369, 48154, 114053, 126694, 103836, 16144, 119627, 5486, 9953, 106036, 95, 20230, 114146, 38144, 113727, 109115, 44971, 57207, 70563, 72661, 115924, 103359, 20230, 125764, 102204, 100604, 123794, 102677, 44915, 125001, 47884, 59739, 32977, 57903, 33541, 9174, 106627, 111528, 102456, 30512, 27704, 109013, 122416, 16144, 109657, 108056, 15682, 127480, 29295, 37087, 47884, 21990, 58942, 126386, 105879, 115132, 44971, 33710, 104603, 115247, 100909, 30813, 58942, 61633, 126693, 44971, 57207, 70563, 33035, 111331, 125764, 53953, 30512, 125764, 107726, 111243, 64209, 55487, 100604, 16144, 119627, 5486, 20713, 97049, 30512, 103188, 105557, 28713, 119400, 55031, 127032, 16144, 13153, 101544, 27479, 40862, 119178, 114146, 28713, 106627, 111528, 102456, 30512, 11883, 37689, 54926, 109215, 107407, 16144, 111769, 32149, 106046, 61689, 9174, 110382, 16556, 112844, 127032, 16144, 13153, 101544, 27479, 40862, 16995, 107118, 5486, 126507, 126507, 71289, 105564, 47884, 105908, 103082, 104533, 32149, 126194, 127480, 29295, 21990, 58942, 100934, 22656, 9039, 16144, 118733, 5486, 20713, 97049, 108176, 25580, 55031, 99849, 22656, 32977, 127480, 29295, 21990, 105262, 45829, 32977, 16995, 104984, 5486, 20713, 97049, 60596, 32149, 9953, 30512, 103188, 105557, 111243, 30591, 109709, 127480, 29295, 21990, 107290, 22957, 100604, 45829, 32977, 61689, 9174, 112185, 126507, 126507, 29295, 118765, 127032, 20230, 106759, 29295, 43568, 22649, 71289, 31431, 105564, 32149, 72342, 101200, 107118, 103801, 72342, 25827, 29295, 117119, 104604, 32149, 102456, 30926, 114556, 39926, 15682, 127480, 29295, 21990, 58942, 21441, 225, 107462, 100604, 110115, 5486, 101662, 116581, 22656, 71289, 108134, 116229, 16556, 126362, 110731, 9953, 106036, 95, 33035, 111331, 44971, 57207, 70563, 30512, 121846, 116446, 103801, 61689, 9174, 127480, 29295, 21990, 58942, 100934, 22656, 9039, 29295, 83747, 100604, 19732, 5486, 9953, 106036, 95, 20230, 114146, 28713, 106627, 111528, 102456, 16144, 44971, 57207, 70563, 72661, 101042, 249, 62004, 103470, 38144, 113692, 17857, 239, 64121, 39926, 114732, 105908, 101182, 105879, 5486, 44971, 57207, 70563, 126036, 115289, 33503, 32149, 47884, 56051, 31431, 104398, 32149, 47884, 54926, 123160, 39880, 111999, 76428, 29295, 109215, 108176, 16144, 111769, 32149, 19732, 78698, 107290, 61689, 9174, 9953, 106036, 95, 66115, 32149, 9953, 16144, 109657, 108056, 20230, 21990, 16144, 101701, 115371, 30512, 125764, 124545, 68759, 118331, 107908, 43568, 103984, 15682, 105242, 48915, 119627, 5486, 108038, 68759, 118331, 107908, 33208, 103646, 101662, 116581, 32977, 108010, 30297, 119150, 105879, 5486, 107707, 106759, 108176, 104468, 126920, 27384, 104721, 26854, 100909, 118816, 59739, 47884, 109669, 47884, 91763, 61689, 9174, 567, 67621, 240, 111528, 39177, 23538, 16144, 89151, 50021, 15682, 13357, 229, 107809, 198, 78183, 29295, 46729, 16144, 107571, 15682, 34617, 97049, 120264, 103296, 107141, 111528, 30512, 119607, 19732, 78698, 107290, 61689, 29295, 5486, 20713, 97049, 105298, 120761, 71289, 31809, 116581, 70626, 16144, 105408, 20230, 38093, 30297, 27479, 20230, 124305, 111528, 30512, 21105, 243, 100604, 19732, 117952, 106824, 5486, 64209, 29295, 21441, 118, 30813, 104369, 110071, 105908, 99849, 27479, 32977, 57903, 79721, 9174, 106518, 105677, 29295, 20713, 8107, 67016, 100604, 126513, 20713, 97049, 108176, 25580, 55031, 124305, 111528, 21105, 103, 118145, 117876, 20230, 109095, 112454, 54926, 105908, 118765, 105879, 124305, 111528, 32977, 106548, 24273, 100604, 106046, 61689, 29295, 121906, 16556, 123207, 22656, 114754, 103192, 104004, 48249, 31431, 115320, 105823, 111243, 103424, 117714, 111769, 32149, 19732, 102159, 105390, 102052, 91763, 61689, 9174, 90620, 5486, 103760, 111528, 103378, 77181, 109215, 26854, 15308, 226, 113598, 30512, 99046, 224, 30369, 105908, 118765, 105879, 5486, 34617, 102456, 16144, 102456, 30926, 71289, 33334, 71289, 59739, 15682, 109215, 118816, 113727, 100934, 105879, 108149, 47884, 17129, 72661, 103760, 111528, 101662, 116581, 15682, 127032, 16144, 113116, 51385, 23187, 19732, 103760, 106759, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 46034, 38574, 103306, 78698, 107290, 61689, 9174, 78847, 15682, 34617, 97049, 103296, 103760, 111528, 101662, 116581, 30512, 106307, 105784, 106592, 84851, 28194, 101, 103792, 117840, 29295, 115847, 15682, 53610, 71289, 125764, 53953, 16144, 108581, 21990, 28190, 20230, 109606, 16144, 101182, 29504, 30512, 75146, 107253, 20230, 113727, 109115, 100909, 36785, 106046, 103836, 105879, 5486, 110918, 101198, 125041, 71289, 106627, 111528, 102456, 29295, 109161, 16995, 107118, 37087, 47884, 91763, 107462, 107515, 9174, 90620, 115847, 15682, 30591, 47884, 17129, 72661, 39135, 103171, 108134, 30512, 121846, 20230, 21105, 103, 29295, 33503, 105994, 26854, 112586, 78698, 107800, 37656, 74245, 37656, 50338, 26854, 104865, 16937, 37656, 50338, 26854, 104865, 78183, 32977, 78183, 55031, 16995, 100909, 26854, 105879, 5486, 121846, 113314, 20230, 98499, 104127, 16995, 90620, 118145, 106046, 61689, 9174, 53283, 31431, 40862, 117714, 68759, 68759, 98915, 15682, 103760, 111528, 16144, 105284, 29295, 30591, 109709, 103424, 47884, 100604, 105879, 110918, 101198, 125041, 16144, 123457, 108703, 31431, 127280, 29295, 127032, 15682, 17663, 47884, 17663, 47884, 101662, 76947, 61689, 15024, 5486, 103760, 111528, 16556, 101662, 38144, 28713, 37046, 29295, 45829, 32977, 24186, 95221, 20230, 101662, 103836, 105879, 89151, 50021, 15682, 112832, 105352, 78183, 124403, 16144, 111769, 123253, 32149, 9174, 90620, 5486, 20713, 97049, 16144, 105298, 120761, 126101, 127032, 16144, 104473, 107654, 111800, 112984, 30512, 120837, 33503, 100472, 110229, 5486, 103429, 95221, 113115, 54926, 108324, 33014, 15682, 102944, 12870, 226, 47884, 126574, 29295, 109673, 17620, 29295, 127242, 39926, 39926, 80631, 100, 104473, 95221, 103868, 19732, 117952, 103468, 104468, 105184, 107188, 100909, 26854, 105879, 5486, 88367, 105110, 104473, 107654, 111800, 112984, 30512, 120837, 33503, 30297, 112973, 126521, 106046, 61689, 9174, 37271, 15682, 103826, 104680, 26854, 107707, 80195, 75267, 19732, 65854, 114181, 109904, 113727, 29295, 124629, 107960, 100204, 30369, 121894, 119627, 115847, 55031, 108396, 71289, 126784, 29295, 102404, 77413, 39926, 118935, 104473, 72342, 101860, 20230, 127032, 16144, 113614, 121894, 30512, 31540, 103984, 33208, 108608, 101200, 101983, 104984, 5486, 101662, 116581, 113115, 54926, 89151, 50021, 29295, 31958, 33503, 32149, 108176, 16144, 111769, 123253, 32149, 9174, 108134, 102677, 68759, 118331, 107908, 20230, 115581, 235, 99750, 120195, 30369, 123017, 109606, 119627, 5486, 112163, 99750, 115717, 120195, 104533, 78459, 37823, 106518, 16144, 117262, 255, 71289, 120843, 117587, 5486, 109022, 111528, 30512, 125764, 102204, 103470, 109020, 105879, 5486, 109431, 27479, 20230, 108134, 30512, 30250, 106, 64889, 54926, 123017, 27384, 102769, 126529, 111769, 32149, 106046, 61689, 9174, 37656, 102800, 108134, 102677, 104468, 37271, 103296, 108882, 64121, 30358, 101832, 38144, 105898, 21388, 113529, 120938, 20230, 13153, 31431, 80195, 59739, 102944, 26854, 105879, 108149, 109709, 47406, 104812, 100, 30512, 30832, 64467, 30813, 101860, 117083, 113314, 21388, 113529, 30512, 110008, 37729, 54926, 120208, 32977, 109215, 26854, 104865, 110241, 33121, 107515, 1811, 128001, 128000, 2, 121158, 29504, 102781, 101544, 102078, 5486, 59795, 20230, 109054, 110590, 121551, 16144, 104873, 112984, 30512, 105324, 102802, 126929, 198, 567, 116056, 118331, 61398, 30512, 122908, 39880, 198, 11144, 16, 9953, 1313, 9080, 27746, 11199, 107461, 32131, 102540, 9458, 107167, 52414, 16073, 10110, 65476, 8283, 7705, 73361, 29504, 102781, 101544, 102078, 15682, 1691, 9080, 5486, 73361, 102756, 57207, 52414, 16073, 35, 732, 13, 10110, 39231, 423, 732, 13, 7705, 16144, 78943, 45893, 127078, 104517, 13177, 118331, 78767, 39880, 91062, 10110, 3648, 325, 372, 7705, 10646, 16556, 114341, 102446, 15024, 5486, 41758, 38248, 108, 33710, 10110, 14783, 7705, 123160, 73361, 114435, 29295, 101307, 104698, 114475, 107674, 109054, 110590, 121551, 109853, 104873, 112984, 54926, 101200, 59795, 105212, 20230, 105324, 102802, 126929, 104533, 107173, 20230, 5486, 124773, 123437, 67075, 17905, 16144, 111800, 34273, 110, 30512, 122521, 21105, 103, 16995, 101200, 73361, 964, 114435, 20230, 126014, 107800, 9174, 107167, 52414, 16073, 101544, 102078, 15682, 13177, 108134, 16144, 111764, 26854, 89753, 33121, 20230, 44416, 103664, 30512, 21601, 58942, 100934, 29504, 66383, 39926, 59795, 5486, 49409, 103293, 121200, 5486, 123577, 78683, 125581, 5486, 65299, 78525, 102832, 62903, 105335, 16073, 30512, 123680, 102639, 5486, 59795, 30512, 13372, 64467, 15024, 54926, 109335, 111098, 76622, 59739, 59739, 32977, 5486, 109054, 110590, 121551, 114556, 58318, 56051, 29504, 71289, 102159, 116537, 15581, 108, 72342, 110071, 125231, 118816, 43032, 103854, 28713, 9174, 42016, 101544, 102078, 15682, 53900, 13177, 21405, 102321, 16144, 111764, 30512, 106154, 30369, 30297, 58942, 16556, 70821, 56965, 114435, 32977, 113160, 49988, 112028, 79982, 30512, 109972, 103836, 1811, 118482, 16144, 30250, 224, 23039, 29295, 51330, 111764, 30512, 101171, 227, 32149, 17663, 110018, 5486, 114435, 15682, 30832, 61826, 16144, 60632, 105576, 30512, 105184, 33563, 54926, 121142, 103470, 117119, 29295, 37656, 102800, 104865, 102677, 106592, 78698, 105262, 109215, 107407, 66383, 102158, 31431, 5486, 73361, 29504, 15682, 111800, 34273, 110, 30512, 18904, 111098, 54926, 118733, 13177, 23530, 70821, 29295, 21405, 102321, 16144, 111764, 16144, 112607, 60632, 117824, 33655, 108608, 101200, 108176, 10646, 17039, 102800, 103223, 64178, 16144, 122401, 30512, 109189, 109768, 104533, 64467, 112419, 15024, 5486, 73361, 125525, 964, 114435, 105352, 108975, 123457, 32018, 109013, 9174, 15120, 24273, 5486, 124773, 123437, 67075, 17905, 16144, 111764, 123863, 73361, 29504, 110792, 103359, 80195, 16144, 106266, 33208, 30512, 111098, 76622, 106956, 59795, 15682, 42016, 9080, 5486, 41758, 38248, 108, 33710, 29295, 111800, 34273, 110, 71289, 109054, 110590, 121551, 30512, 114667, 20230, 59795, 117758, 125844, 56906, 30512, 111800, 118219, 103792, 106592, 73361, 16325, 116690, 19732, 102971, 102802, 59739, 105784, 125231, 111769, 110792, 110783, 110095, 30512, 20379, 56051, 97999, 66, 8, 47754, 14, 32978, 445, 830, 74, 363, 128001, 128000, 11144, 115612, 98897, 55723, 112479, 2, 113204, 239, 16995, 105140, 5486, 110298, 102433, 103472, 13177, 17857, 231, 116467, 106154, 102697, 10646, 102416, 110776, 30590, 116348, 107591, 39926, 50834, 79721, 198, 567, 121238, 115432, 26854, 56235, 37026, 119100, 53610, 111900, 110901, 50834, 21105, 232, 66383, 13177, 16, 14, 605, 102669, 111900, 27384, 34208, 10646, 20230, 21105, 111, 104028, 198, 13177, 23, 9953, 66383, 16995, 76947, 114284, 121406, 104468, 99849, 107407, 108995, 32149, 1811, 105140, 105677, 64121, 5486, 104486, 45829, 104674, 5486, 56235, 53610, 118959, 5486, 107391, 108969, 104309, 104309, 1811, 8107, 106968, 8107, 27704, 123434, 16144, 101544, 16995, 105677, 64121, 1811, 105465, 102800, 44971, 106901, 11972, 29295, 75293, 103836, 17792, 32977, 127181, 119150, 119520, 5486, 66378, 117158, 32149, 105784, 11883, 30926, 119703, 17792, 20230, 90962, 22398, 22398, 39850, 56051, 16995, 112973, 124981, 38248, 110, 25005, 253, 94550, 106901, 124535, 29295, 125175, 30512, 103792, 13177, 10343, 315, 5111, 18143, 116326, 88852, 5486, 63862, 75833, 7705, 36785, 1811, 105140, 19732, 78244, 116285, 56235, 16556, 124304, 106609, 116882, 112919, 111656, 104503, 29295, 102433, 113692, 10110, 85707, 31640, 1811, 16995, 17129, 15682, 109203, 113569, 20230, 127950, 116216, 30369, 71289, 59739, 120732, 110498, 103214, 102351, 103351, 31431, 5486, 123183, 104503, 29295, 56235, 103472, 104443, 104575, 20834, 96356, 103351, 31431, 54926, 105879, 120268, 106718, 16144, 119400, 55031, 56235, 103472, 114318, 31431, 113334, 110298, 102433, 56235, 103472, 16144, 103472, 111900, 15682, 120111, 103351, 127211, 34208, 71289, 103787, 119154, 5486, 101544, 103722, 5486, 35330, 124343, 5486, 57106, 5877, 94, 5486, 108269, 249, 13372, 5486, 103460, 110095, 102083, 100472, 102669, 111900, 15682, 32977, 43514, 85791, 102189, 29295, 5486, 21601, 114896, 5486, 109657, 60174, 5486, 103858, 120, 108777, 5486, 107850, 108777, 5486, 121633, 165, 114, 112, 5486, 108224, 165, 114, 112, 102083, 100472, 35894, 103760, 29295, 27384, 120111, 1811, 47307, 101198, 104930, 71289, 102040, 64810, 102472, 102756, 115132, 90962, 57207, 68759, 16144, 124981, 108337, 108994, 76171, 114971, 30512, 27929, 85791, 107290, 15682, 19967, 31431, 110745, 111900, 104542, 30512, 103214, 104127, 105360, 103854, 112160, 17792, 101128, 99, 109156, 106358, 102944, 36785, 9174, 110924, 55031, 85707, 107436, 116348, 106390, 111900, 71289, 125894, 114380, 111900, 103296, 87177, 30512, 108285, 102639, 100481, 126145, 28873, 38144, 21105, 103, 16995, 105879, 71289, 109315, 29295, 5486, 125540, 123604, 30512, 103214, 104004, 17129, 72661, 103470, 5486, 105994, 29295, 103472, 111900, 20230, 110498, 76947, 64467, 127327, 30512, 39926, 114737, 30512, 105987, 17663, 105194, 235, 105194, 238, 103868, 30512, 103868, 78183, 105262, 112973, 13177, 63862, 75833, 10646, 36785, 1811, 87447, 102669, 19732, 115963, 20230, 56235, 53229, 20230, 110498, 31431, 121216, 5486, 114737, 30512, 72238, 103856, 47884, 91774, 59739, 107441, 121551, 39926, 50021, 112909, 105987, 17663, 119520, 70141, 108895, 32977, 121551, 39926, 109749, 105879, 116898, 111201, 124233, 21105, 97, 59739, 119375, 30512, 28713, 28713, 50834, 104526, 104004, 32149, 29295, 107693, 117282, 1811, 119375, 30512, 76537, 59739, 102677, 23039, 101399, 15682, 57207, 108969, 33710, 109846, 5486, 106121, 63105, 113, 5486, 101462, 247, 16995, 5486, 114737, 16144, 82912, 103911, 101067, 5486, 103868, 24273, 16144, 121551, 48634, 104309, 104309, 5486, 109242, 122202, 26854, 31634, 72238, 29295, 117139, 64121, 40862, 76947, 102669, 119895, 15682, 13153, 31431, 80195, 103836, 9174, 107943, 108881, 5486, 124981, 38248, 110, 25005, 253, 94550, 106901, 124535, 55031, 13177, 17857, 231, 20230, 37507, 100604, 91006, 102677, 33334, 45918, 246, 16995, 30512, 16995, 90620, 102334, 1811, 103350, 15682, 116882, 30046, 5486, 56235, 103472, 120111, 125743, 17857, 231, 76947, 112185, 23039, 100472, 100909, 104435, 105272, 1811, 109203, 116156 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54926, 105908, 5486, 59614, 101860, 15024, 32977, 126521, 113702, 20230, 103721, 233, 29295, 104533, 15682, 48249, 110104, 105879, 106116, 106592, 103892, 16144, 35818, 37795, 227, 109156, 106824, 33334, 47884, 109215, 15682, 101182, 16144, 111769, 32149, 106046, 61689, 9174, 567, 102240, 106036, 95, 20230, 114146, 28713, 106627, 111528, 102456, 16144, 44971, 57207, 70563, 109606, 198, 106627, 111528, 102456, 16144, 44971, 57207, 70563, 22656, 30512, 121846, 20230, 21105, 103, 29295, 33503, 20713, 97049, 117255, 84844, 29295, 125764, 30369, 48154, 114053, 126694, 103836, 16144, 119627, 5486, 9953, 106036, 95, 20230, 114146, 38144, 113727, 109115, 44971, 57207, 70563, 72661, 115924, 103359, 20230, 125764, 102204, 100604, 123794, 102677, 44915, 125001, 47884, 59739, 32977, 57903, 33541, 9174, 106627, 111528, 102456, 30512, 27704, 109013, 122416, 16144, 109657, 108056, 15682, 127480, 29295, 37087, 47884, 21990, 58942, 126386, 105879, 115132, 44971, 33710, 104603, 115247, 100909, 30813, 58942, 61633, 126693, 44971, 57207, 70563, 33035, 111331, 125764, 53953, 30512, 125764, 107726, 111243, 64209, 55487, 100604, 16144, 119627, 5486, 20713, 97049, 30512, 103188, 105557, 28713, 119400, 55031, 127032, 16144, 13153, 101544, 27479, 40862, 119178, 114146, 28713, 106627, 111528, 102456, 30512, 11883, 37689, 54926, 109215, 107407, 16144, 111769, 32149, 106046, 61689, 9174, 110382, 16556, 112844, 127032, 16144, 13153, 101544, 27479, 40862, 16995, 107118, 5486, 126507, 126507, 71289, 105564, 47884, 105908, 103082, 104533, 32149, 126194, 127480, 29295, 21990, 58942, 100934, 22656, 9039, 16144, 118733, 5486, 20713, 97049, 108176, 25580, 55031, 99849, 22656, 32977, 127480, 29295, 21990, 105262, 45829, 32977, 16995, 104984, 5486, 20713, 97049, 60596, 32149, 9953, 30512, 103188, 105557, 111243, 30591, 109709, 127480, 29295, 21990, 107290, 22957, 100604, 45829, 32977, 61689, 9174, 112185, 126507, 126507, 29295, 118765, 127032, 20230, 106759, 29295, 43568, 22649, 71289, 31431, 105564, 32149, 72342, 101200, 107118, 103801, 72342, 25827, 29295, 117119, 104604, 32149, 102456, 30926, 114556, 39926, 15682, 127480, 29295, 21990, 58942, 21441, 225, 107462, 100604, 110115, 5486, 101662, 116581, 22656, 71289, 108134, 116229, 16556, 126362, 110731, 9953, 106036, 95, 33035, 111331, 44971, 57207, 70563, 30512, 121846, 116446, 103801, 61689, 9174, 127480, 29295, 21990, 58942, 100934, 22656, 9039, 29295, 83747, 100604, 19732, 5486, 9953, 106036, 95, 20230, 114146, 28713, 106627, 111528, 102456, 16144, 44971, 57207, 70563, 72661, 101042, 249, 62004, 103470, 38144, 113692, 17857, 239, 64121, 39926, 114732, 105908, 101182, 105879, 5486, 44971, 57207, 70563, 126036, 115289, 33503, 32149, 47884, 56051, 31431, 104398, 32149, 47884, 54926, 123160, 39880, 111999, 76428, 29295, 109215, 108176, 16144, 111769, 32149, 19732, 78698, 107290, 61689, 9174, 9953, 106036, 95, 66115, 32149, 9953, 16144, 109657, 108056, 20230, 21990, 16144, 101701, 115371, 30512, 125764, 124545, 68759, 118331, 107908, 43568, 103984, 15682, 105242, 48915, 119627, 5486, 108038, 68759, 118331, 107908, 33208, 103646, 101662, 116581, 32977, 108010, 30297, 119150, 105879, 5486, 107707, 106759, 108176, 104468, 126920, 27384, 104721, 26854, 100909, 118816, 59739, 47884, 109669, 47884, 91763, 61689, 9174, 567, 67621, 240, 111528, 39177, 23538, 16144, 89151, 50021, 15682, 13357, 229, 107809, 198, 78183, 29295, 46729, 16144, 107571, 15682, 34617, 97049, 120264, 103296, 107141, 111528, 30512, 119607, 19732, 78698, 107290, 61689, 29295, 5486, 20713, 97049, 105298, 120761, 71289, 31809, 116581, 70626, 16144, 105408, 20230, 38093, 30297, 27479, 20230, 124305, 111528, 30512, 21105, 243, 100604, 19732, 117952, 106824, 5486, 64209, 29295, 21441, 118, 30813, 104369, 110071, 105908, 99849, 27479, 32977, 57903, 79721, 9174, 106518, 105677, 29295, 20713, 8107, 67016, 100604, 126513, 20713, 97049, 108176, 25580, 55031, 124305, 111528, 21105, 103, 118145, 117876, 20230, 109095, 112454, 54926, 105908, 118765, 105879, 124305, 111528, 32977, 106548, 24273, 100604, 106046, 61689, 29295, 121906, 16556, 123207, 22656, 114754, 103192, 104004, 48249, 31431, 115320, 105823, 111243, 103424, 117714, 111769, 32149, 19732, 102159, 105390, 102052, 91763, 61689, 9174, 90620, 5486, 103760, 111528, 103378, 77181, 109215, 26854, 15308, 226, 113598, 30512, 99046, 224, 30369, 105908, 118765, 105879, 5486, 34617, 102456, 16144, 102456, 30926, 71289, 33334, 71289, 59739, 15682, 109215, 118816, 113727, 100934, 105879, 108149, 47884, 17129, 72661, 103760, 111528, 101662, 116581, 15682, 127032, 16144, 113116, 51385, 23187, 19732, 103760, 106759, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 46034, 38574, 103306, 78698, 107290, 61689, 9174, 78847, 15682, 34617, 97049, 103296, 103760, 111528, 101662, 116581, 30512, 106307, 105784, 106592, 84851, 28194, 101, 103792, 117840, 29295, 115847, 15682, 53610, 71289, 125764, 53953, 16144, 108581, 21990, 28190, 20230, 109606, 16144, 101182, 29504, 30512, 75146, 107253, 20230, 113727, 109115, 100909, 36785, 106046, 103836, 105879, 5486, 110918, 101198, 125041, 71289, 106627, 111528, 102456, 29295, 109161, 16995, 107118, 37087, 47884, 91763, 107462, 107515, 9174, 90620, 115847, 15682, 30591, 47884, 17129, 72661, 39135, 103171, 108134, 30512, 121846, 20230, 21105, 103, 29295, 33503, 105994, 26854, 112586, 78698, 107800, 37656, 74245, 37656, 50338, 26854, 104865, 16937, 37656, 50338, 26854, 104865, 78183, 32977, 78183, 55031, 16995, 100909, 26854, 105879, 5486, 121846, 113314, 20230, 98499, 104127, 16995, 90620, 118145, 106046, 61689, 9174, 53283, 31431, 40862, 117714, 68759, 68759, 98915, 15682, 103760, 111528, 16144, 105284, 29295, 30591, 109709, 103424, 47884, 100604, 105879, 110918, 101198, 125041, 16144, 123457, 108703, 31431, 127280, 29295, 127032, 15682, 17663, 47884, 17663, 47884, 101662, 76947, 61689, 15024, 5486, 103760, 111528, 16556, 101662, 38144, 28713, 37046, 29295, 45829, 32977, 24186, 95221, 20230, 101662, 103836, 105879, 89151, 50021, 15682, 112832, 105352, 78183, 124403, 16144, 111769, 123253, 32149, 9174, 90620, 5486, 20713, 97049, 16144, 105298, 120761, 126101, 127032, 16144, 104473, 107654, 111800, 112984, 30512, 120837, 33503, 100472, 110229, 5486, 103429, 95221, 113115, 54926, 108324, 33014, 15682, 102944, 12870, 226, 47884, 126574, 29295, 109673, 17620, 29295, 127242, 39926, 39926, 80631, 100, 104473, 95221, 103868, 19732, 117952, 103468, 104468, 105184, 107188, 100909, 26854, 105879, 5486, 88367, 105110, 104473, 107654, 111800, 112984, 30512, 120837, 33503, 30297, 112973, 126521, 106046, 61689, 9174, 37271, 15682, 103826, 104680, 26854, 107707, 80195, 75267, 19732, 65854, 114181, 109904, 113727, 29295, 124629, 107960, 100204, 30369, 121894, 119627, 115847, 55031, 108396, 71289, 126784, 29295, 102404, 77413, 39926, 118935, 104473, 72342, 101860, 20230, 127032, 16144, 113614, 121894, 30512, 31540, 103984, 33208, 108608, 101200, 101983, 104984, 5486, 101662, 116581, 113115, 54926, 89151, 50021, 29295, 31958, 33503, 32149, 108176, 16144, 111769, 123253, 32149, 9174, 108134, 102677, 68759, 118331, 107908, 20230, 115581, 235, 99750, 120195, 30369, 123017, 109606, 119627, 5486, 112163, 99750, 115717, 120195, 104533, 78459, 37823, 106518, 16144, 117262, 255, 71289, 120843, 117587, 5486, 109022, 111528, 30512, 125764, 102204, 103470, 109020, 105879, 5486, 109431, 27479, 20230, 108134, 30512, 30250, 106, 64889, 54926, 123017, 27384, 102769, 126529, 111769, 32149, 106046, 61689, 9174, 37656, 102800, 108134, 102677, 104468, 37271, 103296, 108882, 64121, 30358, 101832, 38144, 105898, 21388, 113529, 120938, 20230, 13153, 31431, 80195, 59739, 102944, 26854, 105879, 108149, 109709, 47406, 104812, 100, 30512, 30832, 64467, 30813, 101860, 117083, 113314, 21388, 113529, 30512, 110008, 37729, 54926, 120208, 32977, 109215, 26854, 104865, 110241, 33121, 107515, 1811, 128001, 128000, 2, 121158, 29504, 102781, 101544, 102078, 5486, 59795, 20230, 109054, 110590, 121551, 16144, 104873, 112984, 30512, 105324, 102802, 126929, 198, 567, 116056, 118331, 61398, 30512, 122908, 39880, 198, 11144, 16, 9953, 1313, 9080, 27746, 11199, 107461, 32131, 102540, 9458, 107167, 52414, 16073, 10110, 65476, 8283, 7705, 73361, 29504, 102781, 101544, 102078, 15682, 1691, 9080, 5486, 73361, 102756, 57207, 52414, 16073, 35, 732, 13, 10110, 39231, 423, 732, 13, 7705, 16144, 78943, 45893, 127078, 104517, 13177, 118331, 78767, 39880, 91062, 10110, 3648, 325, 372, 7705, 10646, 16556, 114341, 102446, 15024, 5486, 41758, 38248, 108, 33710, 10110, 14783, 7705, 123160, 73361, 114435, 29295, 101307, 104698, 114475, 107674, 109054, 110590, 121551, 109853, 104873, 112984, 54926, 101200, 59795, 105212, 20230, 105324, 102802, 126929, 104533, 107173, 20230, 5486, 124773, 123437, 67075, 17905, 16144, 111800, 34273, 110, 30512, 122521, 21105, 103, 16995, 101200, 73361, 964, 114435, 20230, 126014, 107800, 9174, 107167, 52414, 16073, 101544, 102078, 15682, 13177, 108134, 16144, 111764, 26854, 89753, 33121, 20230, 44416, 103664, 30512, 21601, 58942, 100934, 29504, 66383, 39926, 59795, 5486, 49409, 103293, 121200, 5486, 123577, 78683, 125581, 5486, 65299, 78525, 102832, 62903, 105335, 16073, 30512, 123680, 102639, 5486, 59795, 30512, 13372, 64467, 15024, 54926, 109335, 111098, 76622, 59739, 59739, 32977, 5486, 109054, 110590, 121551, 114556, 58318, 56051, 29504, 71289, 102159, 116537, 15581, 108, 72342, 110071, 125231, 118816, 43032, 103854, 28713, 9174, 42016, 101544, 102078, 15682, 53900, 13177, 21405, 102321, 16144, 111764, 30512, 106154, 30369, 30297, 58942, 16556, 70821, 56965, 114435, 32977, 113160, 49988, 112028, 79982, 30512, 109972, 103836, 1811, 118482, 16144, 30250, 224, 23039, 29295, 51330, 111764, 30512, 101171, 227, 32149, 17663, 110018, 5486, 114435, 15682, 30832, 61826, 16144, 60632, 105576, 30512, 105184, 33563, 54926, 121142, 103470, 117119, 29295, 37656, 102800, 104865, 102677, 106592, 78698, 105262, 109215, 107407, 66383, 102158, 31431, 5486, 73361, 29504, 15682, 111800, 34273, 110, 30512, 18904, 111098, 54926, 118733, 13177, 23530, 70821, 29295, 21405, 102321, 16144, 111764, 16144, 112607, 60632, 117824, 33655, 108608, 101200, 108176, 10646, 17039, 102800, 103223, 64178, 16144, 122401, 30512, 109189, 109768, 104533, 64467, 112419, 15024, 5486, 73361, 125525, 964, 114435, 105352, 108975, 123457, 32018, 109013, 9174, 15120, 24273, 5486, 124773, 123437, 67075, 17905, 16144, 111764, 123863, 73361, 29504, 110792, 103359, 80195, 16144, 106266, 33208, 30512, 111098, 76622, 106956, 59795, 15682, 42016, 9080, 5486, 41758, 38248, 108, 33710, 29295, 111800, 34273, 110, 71289, 109054, 110590, 121551, 30512, 114667, 20230, 59795, 117758, 125844, 56906, 30512, 111800, 118219, 103792, 106592, 73361, 16325, 116690, 19732, 102971, 102802, 59739, 105784, 125231, 111769, 110792, 110783, 110095, 30512, 20379, 56051, 97999, 66, 8, 47754, 14, 32978, 445, 830, 74, 363, 128001, 128000, 11144, 115612, 98897, 55723, 112479, 2, 113204, 239, 16995, 105140, 5486, 110298, 102433, 103472, 13177, 17857, 231, 116467, 106154, 102697, 10646, 102416, 110776, 30590, 116348, 107591, 39926, 50834, 79721, 198, 567, 121238, 115432, 26854, 56235, 37026, 119100, 53610, 111900, 110901, 50834, 21105, 232, 66383, 13177, 16, 14, 605, 102669, 111900, 27384, 34208, 10646, 20230, 21105, 111, 104028, 198, 13177, 23, 9953, 66383, 16995, 76947, 114284, 121406, 104468, 99849, 107407, 108995, 32149, 1811, 105140, 105677, 64121, 5486, 104486, 45829, 104674, 5486, 56235, 53610, 118959, 5486, 107391, 108969, 104309, 104309, 1811, 8107, 106968, 8107, 27704, 123434, 16144, 101544, 16995, 105677, 64121, 1811, 105465, 102800, 44971, 106901, 11972, 29295, 75293, 103836, 17792, 32977, 127181, 119150, 119520, 5486, 66378, 117158, 32149, 105784, 11883, 30926, 119703, 17792, 20230, 90962, 22398, 22398, 39850, 56051, 16995, 112973, 124981, 38248, 110, 25005, 253, 94550, 106901, 124535, 29295, 125175, 30512, 103792, 13177, 10343, 315, 5111, 18143, 116326, 88852, 5486, 63862, 75833, 7705, 36785, 1811, 105140, 19732, 78244, 116285, 56235, 16556, 124304, 106609, 116882, 112919, 111656, 104503, 29295, 102433, 113692, 10110, 85707, 31640, 1811, 16995, 17129, 15682, 109203, 113569, 20230, 127950, 116216, 30369, 71289, 59739, 120732, 110498, 103214, 102351, 103351, 31431, 5486, 123183, 104503, 29295, 56235, 103472, 104443, 104575, 20834, 96356, 103351, 31431, 54926, 105879, 120268, 106718, 16144, 119400, 55031, 56235, 103472, 114318, 31431, 113334, 110298, 102433, 56235, 103472, 16144, 103472, 111900, 15682, 120111, 103351, 127211, 34208, 71289, 103787, 119154, 5486, 101544, 103722, 5486, 35330, 124343, 5486, 57106, 5877, 94, 5486, 108269, 249, 13372, 5486, 103460, 110095, 102083, 100472, 102669, 111900, 15682, 32977, 43514, 85791, 102189, 29295, 5486, 21601, 114896, 5486, 109657, 60174, 5486, 103858, 120, 108777, 5486, 107850, 108777, 5486, 121633, 165, 114, 112, 5486, 108224, 165, 114, 112, 102083, 100472, 35894, 103760, 29295, 27384, 120111, 1811, 47307, 101198, 104930, 71289, 102040, 64810, 102472, 102756, 115132, 90962, 57207, 68759, 16144, 124981, 108337, 108994, 76171, 114971, 30512, 27929, 85791, 107290, 15682, 19967, 31431, 110745, 111900, 104542, 30512, 103214, 104127, 105360, 103854, 112160, 17792, 101128, 99, 109156, 106358, 102944, 36785, 9174, 110924, 55031, 85707, 107436, 116348, 106390, 111900, 71289, 125894, 114380, 111900, 103296, 87177, 30512, 108285, 102639, 100481, 126145, 28873, 38144, 21105, 103, 16995, 105879, 71289, 109315, 29295, 5486, 125540, 123604, 30512, 103214, 104004, 17129, 72661, 103470, 5486, 105994, 29295, 103472, 111900, 20230, 110498, 76947, 64467, 127327, 30512, 39926, 114737, 30512, 105987, 17663, 105194, 235, 105194, 238, 103868, 30512, 103868, 78183, 105262, 112973, 13177, 63862, 75833, 10646, 36785, 1811, 87447, 102669, 19732, 115963, 20230, 56235, 53229, 20230, 110498, 31431, 121216, 5486, 114737, 30512, 72238, 103856, 47884, 91774, 59739, 107441, 121551, 39926, 50021, 112909, 105987, 17663, 119520, 70141, 108895, 32977, 121551, 39926, 109749, 105879, 116898, 111201, 124233, 21105, 97, 59739, 119375, 30512, 28713, 28713, 50834, 104526, 104004, 32149, 29295, 107693, 117282, 1811, 119375, 30512, 76537, 59739, 102677, 23039, 101399, 15682, 57207, 108969, 33710, 109846, 5486, 106121, 63105, 113, 5486, 101462, 247, 16995, 5486, 114737, 16144, 82912, 103911, 101067, 5486, 103868, 24273, 16144, 121551, 48634, 104309, 104309, 5486, 109242, 122202, 26854, 31634, 72238, 29295, 117139, 64121, 40862, 76947, 102669, 119895, 15682, 13153, 31431, 80195, 103836, 9174, 107943, 108881, 5486, 124981, 38248, 110, 25005, 253, 94550, 106901, 124535, 55031, 13177, 17857, 231, 20230, 37507, 100604, 91006, 102677, 33334, 45918, 246, 16995, 30512, 16995, 90620, 102334, 1811, 103350, 15682, 116882, 30046, 5486, 56235, 103472, 120111, 125743, 17857, 231, 76947, 112185, 23039, 100472, 100909, 104435, 105272, 1811, 109203, 116156 ]
[ 114896, 110162, 15682, 124304, 120240, 116186, 30297, 23039, 113017, 102189, 107493, 101832, 127891, 85701, 15682, 108031, 5486, 33476, 32977, 106608, 32977, 103470, 32977, 43514, 85791, 25827, 110284, 38641, 57980, 124845, 23, 9953, 16144, 88399, 239, 16995, 105140, 16144, 117073, 103293, 5486, 108285, 102687, 35894, 103354, 20230, 104989, 31431, 80195, 100472, 16144, 103351, 9174, 14711, 125606, 101860, 15682, 13177, 56235, 17905, 37026, 108581, 104542, 17857, 231, 109544, 104517, 116326, 103926, 25666, 5232, 38144, 118821, 47884, 100204, 33503, 104517, 7705, 102416, 198, 110924, 55031, 126843, 70141, 102518, 104468, 13177, 56235, 17905, 37026, 108581, 104542, 17857, 231, 109544, 104517, 126557, 110382, 15682, 103926, 25666, 16556, 2118, 38144, 118821, 47884, 100204, 33503, 104517, 863, 102677, 120613, 29295, 122382, 125398, 1811, 99849, 32977, 53283, 33503, 123207, 2118, 38144, 118821, 47884, 100204, 33503, 863, 76947, 99849, 108995, 119150, 32149, 121061, 29295, 5486, 110924, 102052, 103350, 104983, 20230, 33655, 123671, 101732, 56235, 17905, 37026, 108581, 104542, 16144, 119100, 53610, 111900, 110901, 50834, 21105, 232, 10646, 29295, 103768, 127651, 9458, 102332, 22324, 84389, 5486, 111900, 32943, 114447, 105908, 108608, 101200, 101983, 103836, 105272, 66327, 30591, 50834, 21105, 232, 118587, 165, 107, 101, 126365, 121697, 100934, 5486, 102677, 113334, 36785, 9174, 17857, 231, 103449, 55031, 114715, 105564, 126145, 38144, 118821, 47884, 100204, 33503, 104517, 15682, 101182, 105272, 29295, 5486, 102895, 26269, 70563, 94550, 120690, 30512, 103188, 105557, 38144, 33035, 112586, 20834, 30369, 102083, 112495, 31431, 110901, 50834, 21105, 232, 10646, 29295, 30832, 109156, 76947, 109749, 105879, 17620, 107277, 126172, 16995, 109900, 116446, 32977, 109098, 27384, 26854, 115844, 1811, 109203, 116156, 114896, 16556, 119100, 53610, 111900, 30512, 99849, 18904, 32977, 91774, 100934, 105272, 29295, 5486, 110596, 30832, 126365, 100934, 72342, 118544, 77693, 108680, 119448, 16995, 107118, 112391, 104435, 1811, 67016, 21105, 241, 30297, 39926, 56965, 60358, 126365, 104533, 58426, 115844, 20230, 121602, 47884, 9174, 38144, 118821, 47884, 100204, 33503, 104517, 16144, 22656, 104517, 102052, 56235, 17905, 37026, 108581, 104542, 16144, 114172, 102512, 19732, 5486, 99695, 33710, 105988, 112827, 16556, 23039, 26854, 125167, 19012, 225, 56235, 49988, 102781, 109853, 16144, 127950, 71289, 5486, 119100, 53610, 111900, 114556, 119432, 127950, 107407, 1811, 32977, 43514, 85791, 25827, 110901, 50834, 21105, 232, 10646, 105352, 17701, 30369, 105908, 108608, 9174, 16, 106090, 16144, 127950, 5486, 56235, 17905, 37026, 108581, 104542, 16144, 114172, 102512, 109853, 15682, 5486, 56235, 103472, 66870, 55031, 56235, 17905, 104970, 104874, 104542, 5486, 56235, 17905, 37026, 108581, 104542, 124259, 104721, 33208, 109768, 100472, 114172, 102512, 29295, 80805, 124643, 16556, 110240, 32149, 115032, 1811, 103472, 29295, 50338, 33014, 116216, 55031, 16995, 17129, 20230, 57237, 30369, 114172, 102512, 104088, 38144, 33334, 119064, 32977, 57980, 16995, 108995, 9174, 17, 106090, 117083, 19012, 225, 56235, 49988, 102781, 16144, 127950, 76739, 104612, 77181, 5486, 103350, 53953, 27384, 16144, 101513, 97565, 29295, 127950, 110731, 1811, 101513, 97565, 102052, 5486, 30177, 109835, 39926, 108947, 102404, 54926, 13177, 109835, 102404, 101513, 97565, 10646, 121142, 103470, 5486, 50034, 112294, 26854, 117450, 95221, 5486, 106670, 29295, 121406, 79785, 104309, 30512, 99750, 53283, 39926, 108947, 102404, 54926, 13177, 99750, 106608, 101513, 97565, 10646, 32977, 101182, 118844, 29295, 71289, 42891, 32149, 117201, 5486, 19012, 225, 56235, 34048, 104542, 29295, 99959, 126989, 114475, 107441, 114732, 115789, 101182, 102677, 1811, 60358, 8107, 115079, 58942, 100934, 104468, 51330, 99750, 106608, 101513, 97565, 1811, 113714, 118718, 29295, 109215, 26854, 103846, 66953, 26269, 57933, 102540, 30512, 108882, 126559, 105879, 5486, 32149, 59739, 38144, 15682, 66953, 26269, 57933, 102540, 16144, 117539, 51609, 29295, 101513, 97565, 16144, 117539, 51609, 19732, 117952, 103468, 105272, 29295, 116898, 17129, 77181, 66953, 26269, 57933, 102540, 16144, 118463, 32977, 70141, 17905, 15024, 5486, 113714, 60868, 115247, 66870, 101721, 48634, 33208, 32977, 103130, 104127, 5486, 117539, 51609, 29295, 101544, 115737, 103836, 102131, 36785, 113637, 103846, 109688, 117126, 29295, 115079, 27384, 118844, 17129, 77181, 53610, 16325, 117120, 17620, 102351, 29295, 23039, 106358, 101513, 97565, 21418, 86436, 30512, 5486, 17792, 111848, 19967, 101275, 20230, 124500, 76947, 13177, 101513, 97565, 117120, 17620, 77913, 10646, 29295, 11883, 16995, 110071, 105908, 43240, 115737, 100472, 9174, 18, 106090, 15682, 119100, 53610, 111900, 123863, 127950, 36785, 1811, 119100, 53610, 111900, 16144, 71493, 67075, 123604, 123123, 29295, 22324, 32149, 106824, 108086, 5486, 123274, 15682, 67645, 120950, 86867, 101983, 103836, 104865, 30512, 53283, 30369, 105908, 108608, 9174, 80539, 33671, 112987, 57980, 16995, 57980, 110901, 50834, 21105, 232, 117503, 106670, 32943, 109156, 30369, 100909, 108176, 1811, 67645, 120950, 106391, 67178, 101983, 103836, 104865, 125494, 29295, 45736, 115464, 9174, 103350, 104983, 109156, 76947, 64121, 104533, 71289, 15682, 31431, 101462, 255, 16995, 1811, 48249, 109115, 118347, 61398, 30512, 114392, 20230, 33655, 30297, 103846, 5486, 121432, 112535, 19967, 125398, 1811, 91774, 48864, 108608, 104468, 20251, 25197, 44971, 71289, 108914, 28190, 55038, 5486, 121120, 102452, 5486, 111900, 101544, 102452, 5486, 106121, 63105, 113, 102452, 112028, 34048, 104309, 103378, 109846, 5486, 81258, 107734, 107113, 106670, 107809, 109156, 104028, 102677, 118733, 5486, 105140, 105677, 64121, 117255, 84844, 105459, 125001, 124387, 1811, 16325, 72661, 126909, 26854, 104468, 106121, 63105, 113, 105350, 1811, 105140, 105677, 64121, 117255, 84844, 105459, 29295, 125639, 31640, 116547, 118013, 31640, 116547, 103605, 76947, 15682, 106121, 102057, 99, 32149, 25827, 30512, 111665, 106358, 9174, 91774, 48864, 16144, 104983, 102052, 82973, 20230, 89783, 116664, 122291, 105879, 37087, 104517, 30512, 17, 41642, 39926, 114604, 29295, 36896, 30591, 50834, 21105, 232, 10646, 111900, 32943, 30512, 96412, 107436, 16, 18904, 30832, 118816, 91774, 102936, 103306, 102334, 32938, 32977, 57903, 116898, 85791, 16995, 85791, 26854, 102404, 91774, 122291, 1811, 120824, 103468, 104983, 15682, 17, 41642, 39926, 64121, 30369, 106592, 90962, 22398, 22398, 39850, 54926, 9174, 14711, 220, 80539, 102669, 111900, 27384, 34208, 16144, 110776, 30590, 13177, 27384, 34208, 119263, 78767, 39880, 91062, 10646, 102416, 198, 38144, 118821, 47884, 100204, 33503, 104517, 30512, 15120, 121640, 91774, 105721, 78183, 100472, 30591, 107118, 5486, 114225, 60358, 47884, 117083, 13177, 27384, 34208, 119263, 78767, 39880, 91062, 10110, 17857, 231, 23530, 56235, 30926, 114172, 102512, 108396, 104517, 7705, 10646, 102416, 1811, 17857, 231, 15682, 56235, 103472, 16144, 49792, 122109, 122291, 100909, 72661, 78183, 117295, 104466, 5486, 31958, 71005, 126328, 67178, 106670, 16144, 104773, 103306, 15308, 226, 107800, 124845, 17857, 231, 49792, 122109, 15682, 27384, 34208, 126694, 100472, 116245, 72661, 101182, 1811, 119869, 20230, 43032, 103854, 28713, 116882, 112919, 123183, 104503, 29295, 70277, 101129, 102687, 20230, 102334, 110018, 5486, 103350, 104983, 20230, 27384, 34208, 104088, 28713, 105908, 101182, 102677, 1811, 104836, 102701, 117785, 109156, 33503, 104435, 108680, 119448, 102518, 105272, 19732, 104655, 102334, 9174, 27384, 34208, 119263, 78767, 39880, 91062, 102416, 17701, 104533, 114225, 20230, 30832, 20230, 47000, 47884, 112973, 27384, 34208, 16144, 123123, 1811, 16, 14, 605, 115844, 16556, 37087, 101544, 29295, 1627, 13, 18, 39850, 84477, 33710, 19732, 107188, 31431, 27384, 112495, 115844, 1811, 104699, 30369, 104043, 18904, 30369, 103378, 72661, 102971, 106391, 105564, 47884, 119520, 119448, 16995, 104604, 20230, 31809, 30813, 26854, 125540, 123604, 107118, 112672, 106272, 117864, 47884, 121953, 5486, 104398, 34048, 103296, 21105, 96, 107277, 19732, 88356, 102321, 116216, 108086, 110745, 34208, 29295, 67645, 120950, 106391, 67178, 30512, 107113, 104865, 114652, 17620, 117295, 9174, 27384, 34208, 119263, 78767, 39880, 91062, 15682, 16, 106090, 55031, 19, 106090, 103296, 16144, 106391, 67178, 104856, 76947, 108086, 5486, 17905, 20230, 43032, 103854, 28713, 27384, 34208, 16144, 123123, 16144, 102717, 32149, 110745, 34208, 16144, 113404, 111629, 5486, 117039, 20230, 21601, 107290, 5486, 61826, 119400, 91774, 59739, 102518, 110745, 34208, 29295, 120299, 104127, 16995, 104533, 50834, 16144, 110783, 30512, 117039, 16556, 15017, 231, 107800, 80805, 124643, 19732, 5486, 103350, 104983, 20230, 18904, 110226, 103646, 102944, 29295, 127950, 110731, 1811, 102717, 32149, 105352, 17857, 231, 29295, 31958, 71005, 23897, 104989, 67645, 120950, 118095, 15308, 226, 30512, 39926, 105898, 104865, 78183, 117295, 13177, 17857, 231, 16144, 114172, 102512, 66383, 95604, 127950, 32977, 101182, 9174, 110382, 20230, 37507, 104533, 114318, 112649, 47884, 27384, 34208, 30512, 112391, 30369, 105908, 108608, 1811, 48915, 102052, 104486, 88631, 30512, 54872, 56051, 119951, 32977, 57903, 5486, 111900, 106554, 55031, 111900, 61075, 20230, 57237, 30369, 103296, 16144, 124349, 17620, 20230, 120019, 54926, 124175, 30512, 88631, 16556, 117633, 100472, 116245, 32977, 101182, 1811, 105564, 102532, 64121, 104533, 58426, 119448, 30813, 29295, 17620, 117295, 108995, 1811, 127950, 107809, 102052, 27384, 34208, 114626, 16144, 20834, 107666, 119012, 126101, 110498, 31431, 103214, 104127, 102334, 107707, 13372, 107218, 123, 71289, 115514, 102181, 104309, 32977, 57903, 5486, 102669, 106106, 16144, 45826, 106, 115924, 30813, 30512, 53283, 30369, 105908, 108608, 1811, 128001, 128000, 13177, 106222, 72718, 101275, 46729, 126557, 118899, 77181, 51330, 112690, 30512, 108870, 117657, 101513, 38093, 32977, 43240, 115737, 100472, 16144, 111769, 123253, 32149, 9174, 67016, 21105, 103, 29295, 33503, 5486, 103350, 104983, 20230, 105994, 29295, 106222, 72718, 101275, 46729, 108176, 106592, 114284, 110240, 119188, 116537, 83747, 100604, 123253, 1811, 107943, 16325, 5486, 106222, 30512, 104721, 58942, 106956, 102677, 104195, 16995, 78228, 114792, 100472, 17792, 105459, 20230, 43167, 17129, 76947, 50834, 38144, 102717, 102800, 102677, 108695, 115991, 33541, 9174, 37271, 18904, 15682, 5486, 106222, 72718, 101275, 46729, 16144, 103983, 101911, 16556, 76706, 109526, 235, 110731, 5486, 121450, 103672, 117697, 108744, 9458, 106901, 124535, 106691, 18655, 126233, 107734, 106966, 38093, 101544, 9458, 115581, 112, 76505, 72125, 124343, 10110, 17663, 101860, 50834, 17129, 30813, 57980, 15024, 7705, 98369, 20230, 58426, 101067, 16995, 30512, 17885, 118, 16995, 79721, 59459, 104655, 50834, 46034, 5232, 101129, 102280, 101790, 240, 20648, 231, 23954, 567, 120738, 117697, 108744, 9458, 106901, 124535, 107118, 198, 121450, 103672, 117697, 108744, 9458, 106901, 124535, 9458, 115581, 112, 76505, 72125, 124343, 98369, 198, 127998, 126843, 15682, 5486, 103672, 117697, 108744, 9458, 106901, 124535, 109853, 100927, 107290, 72315, 9174, 86127, 127282, 13177, 106222, 72718, 101275, 118587, 114363, 103722, 120650, 76947, 61689, 1811, 80631, 100, 110482, 71289, 117501, 109606, 5486, 104364, 103283, 71289, 115598, 91774, 30512, 91482, 76428, 102750, 117718, 48634, 16556, 50338, 104662, 54926, 16144, 38641, 9174, 80539, 115408, 127282, 106222, 72718, 101275, 46729, 16144, 125540, 67075, 103927, 103202, 30512, 30832, 64467, 127145, 1811, 118482, 101335, 65299, 102040, 65299, 5486, 103087, 35330, 5486, 106222, 109606, 30512, 50338, 104662, 56051, 16995, 78228, 114792, 100472, 113850, 56965, 29295, 43167, 115464, 116245, 124845, 5486, 101083, 107809, 16556, 72718, 50834, 100934, 109606, 113115, 39926, 32335, 95399, 16556, 39880, 107420, 113335, 29295, 108608, 118844, 33503, 30512, 30832, 64467, 39926, 106222, 109606, 16144, 50338, 104662, 20230, 108167, 103214, 104127, 61689, 9174, 567, 220, 85701, 117758, 106222, 30512, 106529, 30297, 106718, 105459, 20230, 108044, 58942, 106956, 100909, 198, 127998, 115581, 112, 76505, 121944, 106222, 72718, 101275, 46729, 103306, 115408, 105459, 120950, 106718, 20230, 108044, 58942, 106956, 109335, 99849, 123253, 32149, 9174, 106718, 113146, 5486, 103672, 93488, 103906, 39880, 71289, 6269, 46, 112415, 104309, 20230, 108167, 103214, 64121, 5486, 106222, 109606, 30512, 118322, 40265, 28713, 112586, 56051, 17792, 127282, 27384, 110095, 16995, 104533, 91763, 61689, 124845, 36896, 85701, 16556, 126920, 126521, 104865, 59712, 105321, 110162, 56051, 16995, 66383, 95604, 101067, 16995, 30512, 108623, 102334, 17792, 32977, 107991, 123253, 9174, 80673, 5486, 81258, 107430, 112415, 16144, 57207, 106240, 16073, 110276, 108968, 79982, 20230, 58426, 101067, 16995, 15682, 58322, 30512, 119100, 107436, 114732, 1811, 110022, 40862, 33122, 61337, 71289, 115191, 104309, 30512, 30832, 64467, 39926, 81258, 107430, 112415, 30512, 109768, 47884, 1811, 32977, 43514, 85791, 25827, 5486, 105994, 125030, 76947, 77693, 29295, 102832, 71634, 26854, 121507, 127303, 104984, 109606, 15682, 124897, 9174, 110241, 22656, 95221, 16556, 101083, 107809, 16144, 106222, 109606, 30512, 50338, 104662, 56051, 16995, 102677, 39880, 103223, 16995, 101067, 16995, 114792, 103836, 16144, 105352, 97518, 78183, 121140, 108048, 30512, 103350, 102321, 118765, 45893, 20230, 103130, 64121, 123653, 32977, 106824, 114732, 104468, 32977, 100472, 16995, 100604, 119150, 16144, 38641, 1811, 71289, 33503, 123207, 16995, 124324, 106046, 100472, 114754, 71289, 33503, 123207, 5486, 106222, 15682, 124500, 110104, 16144, 38641, 9174, 127998, 127880, 41642, 31431, 105352, 5486, 106718, 113146, 20230, 106222, 80631, 95, 112500, 112415, 30512, 39926, 105898, 17792, 127282, 121771, 98369, 61689, 119520, 116898, 75694, 122502, 47884, 104856, 104533, 124563, 107188, 32149, 58426, 15120, 105564, 30512, 119870, 64121, 20834, 72342, 100604, 105272, 106046, 61689, 109807, 28542, 114556, 39926, 112987, 32149, 29295, 123253, 32149, 95532, 32977, 43514, 85791, 25827, 116898, 112495, 31431, 106222, 72718, 101275, 123410, 102677, 104468, 111108, 102800, 1811, 101335, 65299, 102040, 65299, 32977, 33334, 35330, 126758, 105110, 109461, 34226, 38641, 9174, 109860, 19732, 119852, 5486, 70821, 56965, 114435, 20230, 81258, 107430, 15024, 5486, 53508, 231, 104195, 39926, 55031, 118013, 109415, 101200, 102677, 123017, 53900, 108010, 30297, 109807, 9039, 116358, 56965, 105352, 5486, 101083, 107809, 16556, 72718, 50834, 100934, 109606, 16556, 107202, 15024, 126559, 17792, 105459, 29295, 107991, 16144, 38641, 9174, 109860, 115408, 127282, 32335, 106649, 124349, 16556, 106222, 72718, 101275, 46729, 108176, 45893, 30512, 46239, 119607, 103306, 61689, 1811, 103672, 117697, 108744, 9458, 106901, 124535, 102052, 115847, 103296, 16144, 118482, 101335, 65299, 102040, 65299, 71289, 103087, 35330, 124563, 112212, 106222, 30512, 104721, 58942, 106956, 102677, 112361 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 114896, 110162, 15682, 124304, 120240, 116186, 30297, 23039, 113017, 102189, 107493, 101832, 127891, 85701, 15682, 108031, 5486, 33476, 32977, 106608, 32977, 103470, 32977, 43514, 85791, 25827, 110284, 38641, 57980, 124845, 23, 9953, 16144, 88399, 239, 16995, 105140, 16144, 117073, 103293, 5486, 108285, 102687, 35894, 103354, 20230, 104989, 31431, 80195, 100472, 16144, 103351, 9174, 14711, 125606, 101860, 15682, 13177, 56235, 17905, 37026, 108581, 104542, 17857, 231, 109544, 104517, 116326, 103926, 25666, 5232, 38144, 118821, 47884, 100204, 33503, 104517, 7705, 102416, 198, 110924, 55031, 126843, 70141, 102518, 104468, 13177, 56235, 17905, 37026, 108581, 104542, 17857, 231, 109544, 104517, 126557, 110382, 15682, 103926, 25666, 16556, 2118, 38144, 118821, 47884, 100204, 33503, 104517, 863, 102677, 120613, 29295, 122382, 125398, 1811, 99849, 32977, 53283, 33503, 123207, 2118, 38144, 118821, 47884, 100204, 33503, 863, 76947, 99849, 108995, 119150, 32149, 121061, 29295, 5486, 110924, 102052, 103350, 104983, 20230, 33655, 123671, 101732, 56235, 17905, 37026, 108581, 104542, 16144, 119100, 53610, 111900, 110901, 50834, 21105, 232, 10646, 29295, 103768, 127651, 9458, 102332, 22324, 84389, 5486, 111900, 32943, 114447, 105908, 108608, 101200, 101983, 103836, 105272, 66327, 30591, 50834, 21105, 232, 118587, 165, 107, 101, 126365, 121697, 100934, 5486, 102677, 113334, 36785, 9174, 17857, 231, 103449, 55031, 114715, 105564, 126145, 38144, 118821, 47884, 100204, 33503, 104517, 15682, 101182, 105272, 29295, 5486, 102895, 26269, 70563, 94550, 120690, 30512, 103188, 105557, 38144, 33035, 112586, 20834, 30369, 102083, 112495, 31431, 110901, 50834, 21105, 232, 10646, 29295, 30832, 109156, 76947, 109749, 105879, 17620, 107277, 126172, 16995, 109900, 116446, 32977, 109098, 27384, 26854, 115844, 1811, 109203, 116156, 114896, 16556, 119100, 53610, 111900, 30512, 99849, 18904, 32977, 91774, 100934, 105272, 29295, 5486, 110596, 30832, 126365, 100934, 72342, 118544, 77693, 108680, 119448, 16995, 107118, 112391, 104435, 1811, 67016, 21105, 241, 30297, 39926, 56965, 60358, 126365, 104533, 58426, 115844, 20230, 121602, 47884, 9174, 38144, 118821, 47884, 100204, 33503, 104517, 16144, 22656, 104517, 102052, 56235, 17905, 37026, 108581, 104542, 16144, 114172, 102512, 19732, 5486, 99695, 33710, 105988, 112827, 16556, 23039, 26854, 125167, 19012, 225, 56235, 49988, 102781, 109853, 16144, 127950, 71289, 5486, 119100, 53610, 111900, 114556, 119432, 127950, 107407, 1811, 32977, 43514, 85791, 25827, 110901, 50834, 21105, 232, 10646, 105352, 17701, 30369, 105908, 108608, 9174, 16, 106090, 16144, 127950, 5486, 56235, 17905, 37026, 108581, 104542, 16144, 114172, 102512, 109853, 15682, 5486, 56235, 103472, 66870, 55031, 56235, 17905, 104970, 104874, 104542, 5486, 56235, 17905, 37026, 108581, 104542, 124259, 104721, 33208, 109768, 100472, 114172, 102512, 29295, 80805, 124643, 16556, 110240, 32149, 115032, 1811, 103472, 29295, 50338, 33014, 116216, 55031, 16995, 17129, 20230, 57237, 30369, 114172, 102512, 104088, 38144, 33334, 119064, 32977, 57980, 16995, 108995, 9174, 17, 106090, 117083, 19012, 225, 56235, 49988, 102781, 16144, 127950, 76739, 104612, 77181, 5486, 103350, 53953, 27384, 16144, 101513, 97565, 29295, 127950, 110731, 1811, 101513, 97565, 102052, 5486, 30177, 109835, 39926, 108947, 102404, 54926, 13177, 109835, 102404, 101513, 97565, 10646, 121142, 103470, 5486, 50034, 112294, 26854, 117450, 95221, 5486, 106670, 29295, 121406, 79785, 104309, 30512, 99750, 53283, 39926, 108947, 102404, 54926, 13177, 99750, 106608, 101513, 97565, 10646, 32977, 101182, 118844, 29295, 71289, 42891, 32149, 117201, 5486, 19012, 225, 56235, 34048, 104542, 29295, 99959, 126989, 114475, 107441, 114732, 115789, 101182, 102677, 1811, 60358, 8107, 115079, 58942, 100934, 104468, 51330, 99750, 106608, 101513, 97565, 1811, 113714, 118718, 29295, 109215, 26854, 103846, 66953, 26269, 57933, 102540, 30512, 108882, 126559, 105879, 5486, 32149, 59739, 38144, 15682, 66953, 26269, 57933, 102540, 16144, 117539, 51609, 29295, 101513, 97565, 16144, 117539, 51609, 19732, 117952, 103468, 105272, 29295, 116898, 17129, 77181, 66953, 26269, 57933, 102540, 16144, 118463, 32977, 70141, 17905, 15024, 5486, 113714, 60868, 115247, 66870, 101721, 48634, 33208, 32977, 103130, 104127, 5486, 117539, 51609, 29295, 101544, 115737, 103836, 102131, 36785, 113637, 103846, 109688, 117126, 29295, 115079, 27384, 118844, 17129, 77181, 53610, 16325, 117120, 17620, 102351, 29295, 23039, 106358, 101513, 97565, 21418, 86436, 30512, 5486, 17792, 111848, 19967, 101275, 20230, 124500, 76947, 13177, 101513, 97565, 117120, 17620, 77913, 10646, 29295, 11883, 16995, 110071, 105908, 43240, 115737, 100472, 9174, 18, 106090, 15682, 119100, 53610, 111900, 123863, 127950, 36785, 1811, 119100, 53610, 111900, 16144, 71493, 67075, 123604, 123123, 29295, 22324, 32149, 106824, 108086, 5486, 123274, 15682, 67645, 120950, 86867, 101983, 103836, 104865, 30512, 53283, 30369, 105908, 108608, 9174, 80539, 33671, 112987, 57980, 16995, 57980, 110901, 50834, 21105, 232, 117503, 106670, 32943, 109156, 30369, 100909, 108176, 1811, 67645, 120950, 106391, 67178, 101983, 103836, 104865, 125494, 29295, 45736, 115464, 9174, 103350, 104983, 109156, 76947, 64121, 104533, 71289, 15682, 31431, 101462, 255, 16995, 1811, 48249, 109115, 118347, 61398, 30512, 114392, 20230, 33655, 30297, 103846, 5486, 121432, 112535, 19967, 125398, 1811, 91774, 48864, 108608, 104468, 20251, 25197, 44971, 71289, 108914, 28190, 55038, 5486, 121120, 102452, 5486, 111900, 101544, 102452, 5486, 106121, 63105, 113, 102452, 112028, 34048, 104309, 103378, 109846, 5486, 81258, 107734, 107113, 106670, 107809, 109156, 104028, 102677, 118733, 5486, 105140, 105677, 64121, 117255, 84844, 105459, 125001, 124387, 1811, 16325, 72661, 126909, 26854, 104468, 106121, 63105, 113, 105350, 1811, 105140, 105677, 64121, 117255, 84844, 105459, 29295, 125639, 31640, 116547, 118013, 31640, 116547, 103605, 76947, 15682, 106121, 102057, 99, 32149, 25827, 30512, 111665, 106358, 9174, 91774, 48864, 16144, 104983, 102052, 82973, 20230, 89783, 116664, 122291, 105879, 37087, 104517, 30512, 17, 41642, 39926, 114604, 29295, 36896, 30591, 50834, 21105, 232, 10646, 111900, 32943, 30512, 96412, 107436, 16, 18904, 30832, 118816, 91774, 102936, 103306, 102334, 32938, 32977, 57903, 116898, 85791, 16995, 85791, 26854, 102404, 91774, 122291, 1811, 120824, 103468, 104983, 15682, 17, 41642, 39926, 64121, 30369, 106592, 90962, 22398, 22398, 39850, 54926, 9174, 14711, 220, 80539, 102669, 111900, 27384, 34208, 16144, 110776, 30590, 13177, 27384, 34208, 119263, 78767, 39880, 91062, 10646, 102416, 198, 38144, 118821, 47884, 100204, 33503, 104517, 30512, 15120, 121640, 91774, 105721, 78183, 100472, 30591, 107118, 5486, 114225, 60358, 47884, 117083, 13177, 27384, 34208, 119263, 78767, 39880, 91062, 10110, 17857, 231, 23530, 56235, 30926, 114172, 102512, 108396, 104517, 7705, 10646, 102416, 1811, 17857, 231, 15682, 56235, 103472, 16144, 49792, 122109, 122291, 100909, 72661, 78183, 117295, 104466, 5486, 31958, 71005, 126328, 67178, 106670, 16144, 104773, 103306, 15308, 226, 107800, 124845, 17857, 231, 49792, 122109, 15682, 27384, 34208, 126694, 100472, 116245, 72661, 101182, 1811, 119869, 20230, 43032, 103854, 28713, 116882, 112919, 123183, 104503, 29295, 70277, 101129, 102687, 20230, 102334, 110018, 5486, 103350, 104983, 20230, 27384, 34208, 104088, 28713, 105908, 101182, 102677, 1811, 104836, 102701, 117785, 109156, 33503, 104435, 108680, 119448, 102518, 105272, 19732, 104655, 102334, 9174, 27384, 34208, 119263, 78767, 39880, 91062, 102416, 17701, 104533, 114225, 20230, 30832, 20230, 47000, 47884, 112973, 27384, 34208, 16144, 123123, 1811, 16, 14, 605, 115844, 16556, 37087, 101544, 29295, 1627, 13, 18, 39850, 84477, 33710, 19732, 107188, 31431, 27384, 112495, 115844, 1811, 104699, 30369, 104043, 18904, 30369, 103378, 72661, 102971, 106391, 105564, 47884, 119520, 119448, 16995, 104604, 20230, 31809, 30813, 26854, 125540, 123604, 107118, 112672, 106272, 117864, 47884, 121953, 5486, 104398, 34048, 103296, 21105, 96, 107277, 19732, 88356, 102321, 116216, 108086, 110745, 34208, 29295, 67645, 120950, 106391, 67178, 30512, 107113, 104865, 114652, 17620, 117295, 9174, 27384, 34208, 119263, 78767, 39880, 91062, 15682, 16, 106090, 55031, 19, 106090, 103296, 16144, 106391, 67178, 104856, 76947, 108086, 5486, 17905, 20230, 43032, 103854, 28713, 27384, 34208, 16144, 123123, 16144, 102717, 32149, 110745, 34208, 16144, 113404, 111629, 5486, 117039, 20230, 21601, 107290, 5486, 61826, 119400, 91774, 59739, 102518, 110745, 34208, 29295, 120299, 104127, 16995, 104533, 50834, 16144, 110783, 30512, 117039, 16556, 15017, 231, 107800, 80805, 124643, 19732, 5486, 103350, 104983, 20230, 18904, 110226, 103646, 102944, 29295, 127950, 110731, 1811, 102717, 32149, 105352, 17857, 231, 29295, 31958, 71005, 23897, 104989, 67645, 120950, 118095, 15308, 226, 30512, 39926, 105898, 104865, 78183, 117295, 13177, 17857, 231, 16144, 114172, 102512, 66383, 95604, 127950, 32977, 101182, 9174, 110382, 20230, 37507, 104533, 114318, 112649, 47884, 27384, 34208, 30512, 112391, 30369, 105908, 108608, 1811, 48915, 102052, 104486, 88631, 30512, 54872, 56051, 119951, 32977, 57903, 5486, 111900, 106554, 55031, 111900, 61075, 20230, 57237, 30369, 103296, 16144, 124349, 17620, 20230, 120019, 54926, 124175, 30512, 88631, 16556, 117633, 100472, 116245, 32977, 101182, 1811, 105564, 102532, 64121, 104533, 58426, 119448, 30813, 29295, 17620, 117295, 108995, 1811, 127950, 107809, 102052, 27384, 34208, 114626, 16144, 20834, 107666, 119012, 126101, 110498, 31431, 103214, 104127, 102334, 107707, 13372, 107218, 123, 71289, 115514, 102181, 104309, 32977, 57903, 5486, 102669, 106106, 16144, 45826, 106, 115924, 30813, 30512, 53283, 30369, 105908, 108608, 1811, 128001, 128000, 13177, 106222, 72718, 101275, 46729, 126557, 118899, 77181, 51330, 112690, 30512, 108870, 117657, 101513, 38093, 32977, 43240, 115737, 100472, 16144, 111769, 123253, 32149, 9174, 67016, 21105, 103, 29295, 33503, 5486, 103350, 104983, 20230, 105994, 29295, 106222, 72718, 101275, 46729, 108176, 106592, 114284, 110240, 119188, 116537, 83747, 100604, 123253, 1811, 107943, 16325, 5486, 106222, 30512, 104721, 58942, 106956, 102677, 104195, 16995, 78228, 114792, 100472, 17792, 105459, 20230, 43167, 17129, 76947, 50834, 38144, 102717, 102800, 102677, 108695, 115991, 33541, 9174, 37271, 18904, 15682, 5486, 106222, 72718, 101275, 46729, 16144, 103983, 101911, 16556, 76706, 109526, 235, 110731, 5486, 121450, 103672, 117697, 108744, 9458, 106901, 124535, 106691, 18655, 126233, 107734, 106966, 38093, 101544, 9458, 115581, 112, 76505, 72125, 124343, 10110, 17663, 101860, 50834, 17129, 30813, 57980, 15024, 7705, 98369, 20230, 58426, 101067, 16995, 30512, 17885, 118, 16995, 79721, 59459, 104655, 50834, 46034, 5232, 101129, 102280, 101790, 240, 20648, 231, 23954, 567, 120738, 117697, 108744, 9458, 106901, 124535, 107118, 198, 121450, 103672, 117697, 108744, 9458, 106901, 124535, 9458, 115581, 112, 76505, 72125, 124343, 98369, 198, 127998, 126843, 15682, 5486, 103672, 117697, 108744, 9458, 106901, 124535, 109853, 100927, 107290, 72315, 9174, 86127, 127282, 13177, 106222, 72718, 101275, 118587, 114363, 103722, 120650, 76947, 61689, 1811, 80631, 100, 110482, 71289, 117501, 109606, 5486, 104364, 103283, 71289, 115598, 91774, 30512, 91482, 76428, 102750, 117718, 48634, 16556, 50338, 104662, 54926, 16144, 38641, 9174, 80539, 115408, 127282, 106222, 72718, 101275, 46729, 16144, 125540, 67075, 103927, 103202, 30512, 30832, 64467, 127145, 1811, 118482, 101335, 65299, 102040, 65299, 5486, 103087, 35330, 5486, 106222, 109606, 30512, 50338, 104662, 56051, 16995, 78228, 114792, 100472, 113850, 56965, 29295, 43167, 115464, 116245, 124845, 5486, 101083, 107809, 16556, 72718, 50834, 100934, 109606, 113115, 39926, 32335, 95399, 16556, 39880, 107420, 113335, 29295, 108608, 118844, 33503, 30512, 30832, 64467, 39926, 106222, 109606, 16144, 50338, 104662, 20230, 108167, 103214, 104127, 61689, 9174, 567, 220, 85701, 117758, 106222, 30512, 106529, 30297, 106718, 105459, 20230, 108044, 58942, 106956, 100909, 198, 127998, 115581, 112, 76505, 121944, 106222, 72718, 101275, 46729, 103306, 115408, 105459, 120950, 106718, 20230, 108044, 58942, 106956, 109335, 99849, 123253, 32149, 9174, 106718, 113146, 5486, 103672, 93488, 103906, 39880, 71289, 6269, 46, 112415, 104309, 20230, 108167, 103214, 64121, 5486, 106222, 109606, 30512, 118322, 40265, 28713, 112586, 56051, 17792, 127282, 27384, 110095, 16995, 104533, 91763, 61689, 124845, 36896, 85701, 16556, 126920, 126521, 104865, 59712, 105321, 110162, 56051, 16995, 66383, 95604, 101067, 16995, 30512, 108623, 102334, 17792, 32977, 107991, 123253, 9174, 80673, 5486, 81258, 107430, 112415, 16144, 57207, 106240, 16073, 110276, 108968, 79982, 20230, 58426, 101067, 16995, 15682, 58322, 30512, 119100, 107436, 114732, 1811, 110022, 40862, 33122, 61337, 71289, 115191, 104309, 30512, 30832, 64467, 39926, 81258, 107430, 112415, 30512, 109768, 47884, 1811, 32977, 43514, 85791, 25827, 5486, 105994, 125030, 76947, 77693, 29295, 102832, 71634, 26854, 121507, 127303, 104984, 109606, 15682, 124897, 9174, 110241, 22656, 95221, 16556, 101083, 107809, 16144, 106222, 109606, 30512, 50338, 104662, 56051, 16995, 102677, 39880, 103223, 16995, 101067, 16995, 114792, 103836, 16144, 105352, 97518, 78183, 121140, 108048, 30512, 103350, 102321, 118765, 45893, 20230, 103130, 64121, 123653, 32977, 106824, 114732, 104468, 32977, 100472, 16995, 100604, 119150, 16144, 38641, 1811, 71289, 33503, 123207, 16995, 124324, 106046, 100472, 114754, 71289, 33503, 123207, 5486, 106222, 15682, 124500, 110104, 16144, 38641, 9174, 127998, 127880, 41642, 31431, 105352, 5486, 106718, 113146, 20230, 106222, 80631, 95, 112500, 112415, 30512, 39926, 105898, 17792, 127282, 121771, 98369, 61689, 119520, 116898, 75694, 122502, 47884, 104856, 104533, 124563, 107188, 32149, 58426, 15120, 105564, 30512, 119870, 64121, 20834, 72342, 100604, 105272, 106046, 61689, 109807, 28542, 114556, 39926, 112987, 32149, 29295, 123253, 32149, 95532, 32977, 43514, 85791, 25827, 116898, 112495, 31431, 106222, 72718, 101275, 123410, 102677, 104468, 111108, 102800, 1811, 101335, 65299, 102040, 65299, 32977, 33334, 35330, 126758, 105110, 109461, 34226, 38641, 9174, 109860, 19732, 119852, 5486, 70821, 56965, 114435, 20230, 81258, 107430, 15024, 5486, 53508, 231, 104195, 39926, 55031, 118013, 109415, 101200, 102677, 123017, 53900, 108010, 30297, 109807, 9039, 116358, 56965, 105352, 5486, 101083, 107809, 16556, 72718, 50834, 100934, 109606, 16556, 107202, 15024, 126559, 17792, 105459, 29295, 107991, 16144, 38641, 9174, 109860, 115408, 127282, 32335, 106649, 124349, 16556, 106222, 72718, 101275, 46729, 108176, 45893, 30512, 46239, 119607, 103306, 61689, 1811, 103672, 117697, 108744, 9458, 106901, 124535, 102052, 115847, 103296, 16144, 118482, 101335, 65299, 102040, 65299, 71289, 103087, 35330, 124563, 112212, 106222, 30512, 104721, 58942, 106956, 102677, 112361 ]
[ 101067, 16995, 114792, 100472, 113850, 56965, 29295, 43167, 17129, 76947, 61689, 9174, 77693, 30512, 25359, 17620, 20230, 76706, 123772, 112160, 47018, 72661, 103856, 47884, 5486, 32335, 95399, 16556, 106222, 109606, 30512, 50338, 104662, 54926, 45893, 30512, 102647, 104127, 111654, 102800, 123601, 95221, 16556, 106222, 30512, 104721, 58942, 106956, 119150, 123120, 48634, 16144, 101182, 106718, 20230, 115408, 126027, 37823, 102741, 61398, 30512, 104908, 56051, 16995, 19732, 78698, 107290, 61689, 9174, 567, 220, 85701, 55031, 81258, 107430, 112415, 30512, 109169, 105262, 106718, 20230, 39850, 26269, 64810, 78767, 198, 127998, 112599, 5486, 81258, 107430, 112415, 117824, 103836, 106718, 115847, 55031, 81258, 107430, 112415, 30512, 103851, 105262, 106718, 105459, 20230, 39850, 26269, 64810, 78767, 126130, 124730, 78434, 9174, 15120, 87217, 108044, 58942, 106956, 109335, 5486, 863, 104662, 109315, 106592, 109755, 110615, 16556, 102717, 102800, 863, 102677, 100909, 38641, 1811, 45163, 37507, 16144, 109335, 5486, 67645, 103171, 45893, 20230, 103130, 102189, 103306, 32977, 17620, 107277, 107515, 1811, 106222, 113115, 39926, 105994, 29295, 5486, 127749, 30512, 104721, 58942, 106956, 5486, 105321, 110162, 56051, 16995, 106046, 100472, 110018, 5486, 59739, 109709, 36896, 106222, 113115, 39926, 119448, 47884, 64209, 29295, 91875, 102334, 110018, 10646, 29295, 105335, 84477, 124134, 126529, 38641, 9174, 115364, 71289, 31431, 106956, 100909, 5486, 30832, 105888, 104088, 16423, 107800, 110018, 5486, 85707, 107436, 109215, 26854, 102944, 29295, 91774, 107290, 109749, 16144, 38641, 1811, 110241, 108149, 112568, 29295, 13177, 106222, 113115, 39926, 119448, 47884, 64209, 29295, 91875, 102334, 117503, 105110, 81219, 115408, 127282, 37087, 48634, 16556, 106222, 72718, 101275, 16144, 124122, 101335, 65299, 102040, 65299, 71289, 39880, 45923, 66953, 112900, 30512, 5877, 102, 50834, 121423, 33541, 9174, 22656, 95221, 16556, 106222, 109606, 30512, 50338, 104662, 56051, 16995, 102677, 78228, 114792, 100472, 17792, 105459, 29295, 43167, 17129, 76947, 109749, 106592, 115408, 127282, 105465, 21105, 123, 20230, 75293, 76947, 61689, 9174, 118544, 29295, 16556, 56051, 123253, 32149, 118844, 103296, 106222, 109606, 113115, 39926, 114715, 72661, 64209, 29295, 91875, 102334, 106613, 111186, 16144, 101182, 24273, 5486, 45163, 37507, 16144, 121507, 57942, 95, 103306, 13177, 106222, 72718, 101275, 46729, 10646, 108176, 115789, 78698, 107290, 64121, 38144, 15682, 104405, 123253, 32149, 9174, 121450, 103672, 117697, 108744, 9458, 106901, 124535, 77181, 5486, 112599, 22, 118821, 102741, 38248, 115, 68581, 33710, 91482, 76428, 102750, 22398, 117824, 76947, 61689, 1811, 20251, 113909, 65299, 76739, 123581, 16073, 72661, 85701, 103296, 20230, 106116, 117591, 112028, 118821, 118482, 30512, 108167, 109415, 127280, 1811, 112371, 104328, 48154, 111182, 117084, 64121, 38144, 72315, 1811, 128001, 128000, 18655, 103234, 9458, 17161, 96555, 105104, 100204, 16144, 30591, 71289, 22957, 198, 115638, 5486, 114565, 5486, 103507, 34208, 19732, 113146, 29295, 60634, 31431, 124500, 30369, 16144, 19732, 42016, 103826, 20230, 5486, 122013, 104865, 105459, 32977, 109429, 71869, 55031, 72237, 122013, 124259, 104721, 33208, 39926, 50834, 100934, 123601, 89046, 107121, 77181, 5486, 106759, 110792, 122013, 116690, 30512, 106613, 38144, 5486, 105994, 29295, 122013, 114792, 59739, 101200, 117084, 112391, 28713, 100909, 5486, 106759, 109853, 5486, 80539, 127032, 109853, 91763, 30297, 106592, 102158, 114598, 110706, 115515, 16144, 122013, 104865, 105459, 20230, 117598, 30369, 9174, 121980, 198, 45, 2089, 122491, 104774, 103988, 111672, 94550, 9458, 106901, 124535, 77181, 5486, 23226, 37656, 101662, 116581, 9458, 75910, 106528, 105677, 101275, 25333, 16144, 102923, 23039, 55031, 16, 8107, 56965, 16144, 8239, 114503, 30512, 111800, 110322, 54926, 37689, 111629, 30512, 96412, 62004, 5486, 2366, 17, 8107, 46702, 9953, 23897, 104989, 20230, 21990, 17129, 103468, 45829, 67645, 32977, 114792, 59739, 508, 97049, 71689, 16144, 123737, 30512, 103359, 47523, 20230, 13177, 125062, 33121, 101662, 105677, 104873, 112984, 2366, 18, 118587, 103350, 102923, 10110, 103350, 102923, 9080, 5232, 2366, 18, 8107, 46702, 9953, 1114, 9080, 56040, 777, 9080, 5486, 19361, 126120, 60868, 108969, 33710, 9039, 5232, 6889, 15, 75376, 104873, 112984, 113702, 77181, 13177, 108695, 20230, 100525, 232, 101310, 254, 9458, 20834, 106518, 30512, 120270, 56051, 74482, 5486, 108695, 55031, 101662, 105677, 114305, 16144, 41642, 53283, 9458, 101662, 105677, 115181, 37689, 70141, 16144, 114140, 15682, 103646, 32149, 91006, 102677, 105284, 99397, 113115, 39926, 13177, 108695, 55031, 114140, 116216, 33334, 121140, 5486, 105994, 55031, 32977, 114140, 109768, 100604, 66383, 113925, 56051, 116537, 1958, 113127, 105352, 17905, 100472, 9174, 2366, 17, 116358, 104873, 112984, 72661, 17905, 61304, 120950, 113702, 104856, 76947, 108086, 5486, 11881, 242, 15682, 122270, 123737, 16144, 101662, 116581, 111363, 37689, 109375, 15682, 103167, 102518, 105908, 103911, 101067, 107001, 119520, 5486, 41642, 116310, 117758, 2118, 123737, 15682, 45829, 101662, 38144, 16144, 107734, 20230, 80195, 28713, 100604, 863, 102677, 44971, 26269, 113834, 55031, 45829, 101662, 38144, 20230, 110284, 107726, 111243, 33503, 58942, 104435, 123737, 32977, 107991, 125939, 18904, 33334, 87177, 30512, 17885, 118, 100472, 5486, 121633, 50211, 98369, 10110, 124572, 13372, 9458, 2137, 97049, 119735, 30250, 227, 47884, 20230, 103082, 28713, 45829, 67645, 32977, 30512, 36117, 118, 103926, 126020, 5486, 108882, 110993, 112535, 101662, 116581, 114556, 116547, 28713, 102518, 29295, 36896, 122013, 29295, 102131, 107726, 38144, 120700, 104435, 66383, 102158, 30369, 1811, 11144, 21909, 58426, 20713, 21909, 15682, 47260, 78459, 32131, 112479, 567, 120066, 119, 16144, 122013, 29295, 21441, 225, 76947, 104503, 106759, 30512, 61056, 21418, 39926, 109749, 198, 99849, 27479, 32977, 108323, 50928, 30512, 30358, 101832, 38144, 109297, 29295, 70349, 112454, 31431, 20834, 106518, 55031, 112454, 121118, 110018, 102052, 5486, 45829, 67645, 32977, 15682, 21990, 74482, 46702, 32149, 9953, 1811, 121633, 50211, 117940, 110924, 55031, 108882, 110993, 112535, 45829, 101662, 38144, 20230, 110284, 54926, 59739, 123731, 103351, 29295, 5486, 104577, 103760, 29295, 50211, 117073, 102717, 19732, 124592, 16556, 45829, 101662, 38144, 30512, 46034, 108044, 119178, 37507, 30369, 101200, 115717, 36896, 10110, 45829, 101662, 38144, 15682, 7705, 86127, 105459, 29295, 54926, 55031, 66383, 121881, 232, 13821, 111, 16144, 48915, 103351, 102677, 9174, 13177, 126920, 5486, 109297, 45829, 29295, 90620, 112454, 76947, 37507, 90620, 76622, 16556, 56051, 1811, 109297, 19732, 45829, 29295, 104577, 103350, 46729, 16556, 127331, 33503, 107113, 119400, 19732, 90620, 101987, 104004, 116245, 29295, 124500, 42891, 90620, 76622, 1811, 115364, 46729, 104468, 101860, 26854, 110115, 5486, 104577, 103760, 29295, 111299, 16144, 103268, 17620, 15682, 117856, 109709, 20230, 37507, 30369, 101200, 115717, 5486, 46729, 16144, 104157, 64209, 30590, 15682, 32335, 109161, 16556, 56051, 9174, 86127, 119279, 104004, 59739, 109913, 58942, 71289, 33334, 104346, 17857, 224, 104309, 45829, 101662, 38144, 20230, 110284, 119607, 19732, 112990, 124620, 33334, 104503, 98369, 10110, 121633, 50211, 98369, 7705, 29295, 107943, 106592, 54926, 109215, 100604, 36761, 19732, 104577, 103760, 20230, 117952, 33121, 100481, 79721, 111329, 104577, 103760, 29295, 117856, 17129, 76947, 103296, 112454, 110104, 104468, 109297, 119279, 124730, 107113, 55031, 1811, 45829, 101662, 38144, 20230, 110284, 56051, 16995, 106592, 109297, 20230, 126014, 58942, 104533, 5486, 100525, 232, 101310, 254, 39177, 23538, 16144, 16937, 112624, 30512, 104369, 126268, 124195, 114732, 9174, 13177, 122412, 16556, 103350, 102923, 84389, 101732, 110176, 106759, 48864, 104297, 10110, 104503, 106759, 108176, 124122, 37026, 112854, 30512, 113096, 17663, 106592, 30832, 112535, 103350, 102923, 110731, 57326, 77750, 32131, 91062, 7705, 20230, 117876, 16144, 72368, 40862, 16556, 110284, 103082, 104435, 116233, 1811, 127880, 117876, 15682, 111299, 105677, 25963, 9080, 44416, 103351, 16144, 119627, 5486, 114166, 9080, 29295, 17701, 100472, 111299, 15682, 58426, 74090, 121914, 125334, 114731, 117084, 103801, 76947, 109807, 106592, 109297, 20230, 64467, 112419, 116216, 124620, 118116, 110018, 55031, 104503, 106759, 108176, 102677, 37026, 112854, 119703, 47884, 72342, 20230, 36761, 19732, 117952, 106824, 103801, 16995, 79721, 111329, 11144, 101908, 122924, 16556, 101662, 116581, 117824, 30297, 102052, 109297, 16144, 37689, 109375, 119254, 32977, 109215, 1811, 115338, 122481, 20230, 106307, 50834, 33541, 11199, 128001, 128000, 2, 220, 114225, 108608, 102456, 106382, 107792, 103664, 16144, 47260, 103223, 6447, 102456, 106382, 29295, 32149, 117295, 102456, 103234, 76947, 11571, 107691, 16995, 53953, 54926, 110018, 16144, 61633, 120098, 32977, 198, 102456, 106382, 16144, 107792, 103664, 102052, 67645, 120950, 41007, 107407, 105879, 109954, 32149, 11571, 102456, 106382, 29295, 32149, 117295, 102456, 103234, 107118, 99849, 11571, 107792, 103664, 16144, 113009, 5486, 102456, 106382, 16144, 32943, 117735, 15682, 67645, 119775, 40452, 17663, 125231, 11571, 123011, 62004, 107691, 114774, 102456, 106382, 16144, 103911, 70203, 16144, 121697, 24273, 5486, 107691, 16995, 53953, 16144, 47260, 103223, 104309, 5486, 110589, 55031, 108608, 102456, 106382, 16144, 107792, 103664, 41007, 30512, 50338, 108323, 78434, 9174, 124042, 51107, 9080, 25, 2366, 16, 8107, 19, 9953, 1691, 9080, 198, 567, 116056, 77219, 16144, 103856, 78183, 107277, 31634, 103664, 108477, 255, 35287, 30832, 51385, 82973, 512, 17, 17792, 71689, 16144, 101083, 115351, 16144, 102456, 106382, 15682, 115274, 16556, 9953, 20230, 103664, 22, 32307, 20, 11, 931, 35757, 198, 102456, 106382, 16556, 32335, 32977, 43240, 47884, 30512, 108928, 109315, 104468, 48915, 102456, 106382, 198, 123011, 62004, 107691, 16995, 5486, 103911, 70203, 104662, 62004, 5486, 110898, 17620, 76622, 104309, 5486, 43568, 22649, 16144, 100604, 102456, 106382, 16144, 107792, 103664, 103991, 30512, 102647, 109416, 30297, 198, 567, 112562, 33671, 198, 567, 220, 16, 2845, 113, 9953, 16144, 102456, 106382, 16144, 115274, 35330, 109518, 30512, 8107, 110226, 103283, 126365, 104533, 95532, 102456, 106382, 30512, 107792, 103664, 54926, 110018, 102052, 115515, 126036, 16995, 126910, 107792, 103664, 126693, 104712, 104865, 5486, 102456, 106382, 120938, 48249, 30512, 16995, 126910, 20230, 126128, 58942, 104984, 104712, 104865, 30512, 126843, 53283, 76947, 33334, 105898, 16995, 102944, 38641, 1811, 110924, 16556, 102456, 106382, 16144, 115274, 35330, 109518, 104088, 38144, 64121, 17129, 109954, 9174, 110022, 102781, 66870, 16144, 13177, 46729, 82420, 104873, 112984, 10110, 679, 24, 8107, 7705, 10646, 103732, 104533, 5486, 17, 17792, 71689, 16144, 101083, 115351, 16144, 198, 102456, 106382, 15682, 115274, 16556, 9953, 22, 32307, 20, 11, 15966, 35757, 38641, 9174, 102456, 106382, 104865, 107277, 32149, 28713, 15682, 5486, 8107, 110226, 113468, 121953, 115991, 33541, 9174, 8107, 110226, 29295, 126574, 101083, 115351, 108680, 102456, 106382, 29295, 126574, 101427, 122, 70141, 115991, 5486, 8107, 110226, 1049, 110743, 55038, 16144, 101083, 115351, 77181, 5486, 106547, 102456, 106382, 30512, 21418, 47884, 102456, 103234, 106382, 29295, 9953, 20, 32307, 18, 11, 15531, 35757, 113115, 39926, 5486, 8107, 110226, 3443, 110743, 55038, 77181, 105490, 226, 21, 110743, 5486, 8107, 110226, 16, 11, 931, 110743, 30512, 72404, 58942, 104533, 220, 22, 110743, 30512, 72404, 107290, 61689, 9174, 58, 111629, 21405, 16, 933, 8107, 110226, 103283, 102240, 56965, 16144, 46456, 20834, 19732, 102456, 106382, 16144, 108928, 109315, 111017, 40862, 10110, 110904, 25129, 5232, 35757, 23954, 64780, 20834, 105586, 5232, 110022, 102781, 66870, 105156, 82420, 91077, 5486, 118326, 107338, 122491, 105156, 82420, 120690, 105212, 105156, 82420, 89154, 108337, 33710, 116229, 13177, 68, 12, 16257, 10646, 30537, 17, 11972, 19, 21405, 101377, 56965, 110226, 17701, 76208, 17620, 25129, 106090, 104297, 103283, 16, 101083, 115351, 40265, 115926, 16, 2845, 113, 9953, 16144, 110226, 17701, 19732, 46456, 20834, 10110, 679, 24, 8107, 7705, 30512, 32977, 19732, 20230, 116882, 30046, 19967, 21405, 198, 67645, 103171, 106382, 30832, 72661, 5486, 108936, 112535, 107792, 103664, 123410, 110018, 102052, 5486, 104654, 106382, 113115, 39926, 67645, 33121, 120264, 16144, 109972, 106529, 101983, 103836, 32149, 30512, 114140, 39926, 111476, 109972, 106529, 16144, 119448, 16995, 102944, 55031, 21403, 232, 104533, 5486, 8239, 114503, 30512, 103350, 99750, 15024, 126172, 16995, 38641, 1811, 66378, 20230, 102456, 106382, 109853, 15682, 5486, 104654, 106382, 20230, 108928, 109315, 102456, 106382, 16144, 111017, 40862, 30512, 13177, 107748, 16073, 105621, 33710, 11743, 28359, 66383, 104712, 5486, 9080, 119400, 55031, 95221, 20230, 103792, 32149, 110241, 33121, 107515, 9174, 104654, 106382, 16144, 115274, 15682, 103664, 1682, 110743, 16556, 106116, 117591, 102456, 106382, 15682, 22, 32307, 20, 11, 15966, 35757, 5486, 59739, 109709, 5486, 76739, 16073, 105621, 33710, 11743, 28359, 15682, 220, 914, 13, 22, 113127, 38641, 1811, 125389, 106382, 29295, 104654, 106382, 16144, 19, 17620, 16144, 16, 71689, 30512, 108928, 109315, 105908, 78183, 107277, 33541, 9174, 102456, 106382, 15682, 9080, 40053, 104654, 20230, 124490, 32149, 72342, 100604, 20834, 106382, 38641, 55031, 5486, 8107, 110226, 112649, 124233, 121140, 101182, 113314, 15682, 109215, 38641, 113637, 103846, 198, 76739, 16073, 105621, 33710, 11743, 28359, 15682, 5486, 8107, 110226, 29295, 126574, 108680, 103167, 16995, 101427, 122, 70141, 115991, 33541, 1811, 8107, 110226, 16, 11, 931, 110743, 30512, 72404, 105262, 101083, 115351, 16144, 76739, 16073, 105621, 33710, 11743, 28359, 15682, 103664, 1313, 4, 19732, 5486, 8107, 110226, 1049, 110743, 55038, 16144, 101083, 115351, 10110, 966, 13, 21, 4, 7705, 105755, 22, 120098, 71689, 103167, 16995, 53610, 107253, 38641, 9174, 8107, 110226, 71289, 104654, 106382, 29295, 45736, 47884, 5486, 32149, 59739, 76739, 16073, 105621, 33710, 11743, 28359, 29295, 126574, 110018, 102052, 5486, 107792, 103664, 113468, 102456, 106382, 30512, 27384, 111044, 20230, 71493, 67075, 108608, 125396, 115991, 33541, 29295, 5486, 8107, 110226, 29295, 103167, 16995, 5486, 125845, 17663, 16556, 20230, 104654, 106382, 30512, 125174, 50520, 108, 62004, 100481, 38144, 76739, 16073, 105621, 33710, 11743, 28359, 29295, 126574, 110018, 102052, 115847, 71689, 102456, 106382, 16556, 107792, 103664, 108608, 89783, 30590, 15682, 30591, 109709, 100604, 105908, 57903, 33541, 9174, 567, 125389, 106382, 107809, 16556, 111017, 40862, 29295, 126574, 104468, 48915 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101067, 16995, 114792, 100472, 113850, 56965, 29295, 43167, 17129, 76947, 61689, 9174, 77693, 30512, 25359, 17620, 20230, 76706, 123772, 112160, 47018, 72661, 103856, 47884, 5486, 32335, 95399, 16556, 106222, 109606, 30512, 50338, 104662, 54926, 45893, 30512, 102647, 104127, 111654, 102800, 123601, 95221, 16556, 106222, 30512, 104721, 58942, 106956, 119150, 123120, 48634, 16144, 101182, 106718, 20230, 115408, 126027, 37823, 102741, 61398, 30512, 104908, 56051, 16995, 19732, 78698, 107290, 61689, 9174, 567, 220, 85701, 55031, 81258, 107430, 112415, 30512, 109169, 105262, 106718, 20230, 39850, 26269, 64810, 78767, 198, 127998, 112599, 5486, 81258, 107430, 112415, 117824, 103836, 106718, 115847, 55031, 81258, 107430, 112415, 30512, 103851, 105262, 106718, 105459, 20230, 39850, 26269, 64810, 78767, 126130, 124730, 78434, 9174, 15120, 87217, 108044, 58942, 106956, 109335, 5486, 863, 104662, 109315, 106592, 109755, 110615, 16556, 102717, 102800, 863, 102677, 100909, 38641, 1811, 45163, 37507, 16144, 109335, 5486, 67645, 103171, 45893, 20230, 103130, 102189, 103306, 32977, 17620, 107277, 107515, 1811, 106222, 113115, 39926, 105994, 29295, 5486, 127749, 30512, 104721, 58942, 106956, 5486, 105321, 110162, 56051, 16995, 106046, 100472, 110018, 5486, 59739, 109709, 36896, 106222, 113115, 39926, 119448, 47884, 64209, 29295, 91875, 102334, 110018, 10646, 29295, 105335, 84477, 124134, 126529, 38641, 9174, 115364, 71289, 31431, 106956, 100909, 5486, 30832, 105888, 104088, 16423, 107800, 110018, 5486, 85707, 107436, 109215, 26854, 102944, 29295, 91774, 107290, 109749, 16144, 38641, 1811, 110241, 108149, 112568, 29295, 13177, 106222, 113115, 39926, 119448, 47884, 64209, 29295, 91875, 102334, 117503, 105110, 81219, 115408, 127282, 37087, 48634, 16556, 106222, 72718, 101275, 16144, 124122, 101335, 65299, 102040, 65299, 71289, 39880, 45923, 66953, 112900, 30512, 5877, 102, 50834, 121423, 33541, 9174, 22656, 95221, 16556, 106222, 109606, 30512, 50338, 104662, 56051, 16995, 102677, 78228, 114792, 100472, 17792, 105459, 29295, 43167, 17129, 76947, 109749, 106592, 115408, 127282, 105465, 21105, 123, 20230, 75293, 76947, 61689, 9174, 118544, 29295, 16556, 56051, 123253, 32149, 118844, 103296, 106222, 109606, 113115, 39926, 114715, 72661, 64209, 29295, 91875, 102334, 106613, 111186, 16144, 101182, 24273, 5486, 45163, 37507, 16144, 121507, 57942, 95, 103306, 13177, 106222, 72718, 101275, 46729, 10646, 108176, 115789, 78698, 107290, 64121, 38144, 15682, 104405, 123253, 32149, 9174, 121450, 103672, 117697, 108744, 9458, 106901, 124535, 77181, 5486, 112599, 22, 118821, 102741, 38248, 115, 68581, 33710, 91482, 76428, 102750, 22398, 117824, 76947, 61689, 1811, 20251, 113909, 65299, 76739, 123581, 16073, 72661, 85701, 103296, 20230, 106116, 117591, 112028, 118821, 118482, 30512, 108167, 109415, 127280, 1811, 112371, 104328, 48154, 111182, 117084, 64121, 38144, 72315, 1811, 128001, 128000, 18655, 103234, 9458, 17161, 96555, 105104, 100204, 16144, 30591, 71289, 22957, 198, 115638, 5486, 114565, 5486, 103507, 34208, 19732, 113146, 29295, 60634, 31431, 124500, 30369, 16144, 19732, 42016, 103826, 20230, 5486, 122013, 104865, 105459, 32977, 109429, 71869, 55031, 72237, 122013, 124259, 104721, 33208, 39926, 50834, 100934, 123601, 89046, 107121, 77181, 5486, 106759, 110792, 122013, 116690, 30512, 106613, 38144, 5486, 105994, 29295, 122013, 114792, 59739, 101200, 117084, 112391, 28713, 100909, 5486, 106759, 109853, 5486, 80539, 127032, 109853, 91763, 30297, 106592, 102158, 114598, 110706, 115515, 16144, 122013, 104865, 105459, 20230, 117598, 30369, 9174, 121980, 198, 45, 2089, 122491, 104774, 103988, 111672, 94550, 9458, 106901, 124535, 77181, 5486, 23226, 37656, 101662, 116581, 9458, 75910, 106528, 105677, 101275, 25333, 16144, 102923, 23039, 55031, 16, 8107, 56965, 16144, 8239, 114503, 30512, 111800, 110322, 54926, 37689, 111629, 30512, 96412, 62004, 5486, 2366, 17, 8107, 46702, 9953, 23897, 104989, 20230, 21990, 17129, 103468, 45829, 67645, 32977, 114792, 59739, 508, 97049, 71689, 16144, 123737, 30512, 103359, 47523, 20230, 13177, 125062, 33121, 101662, 105677, 104873, 112984, 2366, 18, 118587, 103350, 102923, 10110, 103350, 102923, 9080, 5232, 2366, 18, 8107, 46702, 9953, 1114, 9080, 56040, 777, 9080, 5486, 19361, 126120, 60868, 108969, 33710, 9039, 5232, 6889, 15, 75376, 104873, 112984, 113702, 77181, 13177, 108695, 20230, 100525, 232, 101310, 254, 9458, 20834, 106518, 30512, 120270, 56051, 74482, 5486, 108695, 55031, 101662, 105677, 114305, 16144, 41642, 53283, 9458, 101662, 105677, 115181, 37689, 70141, 16144, 114140, 15682, 103646, 32149, 91006, 102677, 105284, 99397, 113115, 39926, 13177, 108695, 55031, 114140, 116216, 33334, 121140, 5486, 105994, 55031, 32977, 114140, 109768, 100604, 66383, 113925, 56051, 116537, 1958, 113127, 105352, 17905, 100472, 9174, 2366, 17, 116358, 104873, 112984, 72661, 17905, 61304, 120950, 113702, 104856, 76947, 108086, 5486, 11881, 242, 15682, 122270, 123737, 16144, 101662, 116581, 111363, 37689, 109375, 15682, 103167, 102518, 105908, 103911, 101067, 107001, 119520, 5486, 41642, 116310, 117758, 2118, 123737, 15682, 45829, 101662, 38144, 16144, 107734, 20230, 80195, 28713, 100604, 863, 102677, 44971, 26269, 113834, 55031, 45829, 101662, 38144, 20230, 110284, 107726, 111243, 33503, 58942, 104435, 123737, 32977, 107991, 125939, 18904, 33334, 87177, 30512, 17885, 118, 100472, 5486, 121633, 50211, 98369, 10110, 124572, 13372, 9458, 2137, 97049, 119735, 30250, 227, 47884, 20230, 103082, 28713, 45829, 67645, 32977, 30512, 36117, 118, 103926, 126020, 5486, 108882, 110993, 112535, 101662, 116581, 114556, 116547, 28713, 102518, 29295, 36896, 122013, 29295, 102131, 107726, 38144, 120700, 104435, 66383, 102158, 30369, 1811, 11144, 21909, 58426, 20713, 21909, 15682, 47260, 78459, 32131, 112479, 567, 120066, 119, 16144, 122013, 29295, 21441, 225, 76947, 104503, 106759, 30512, 61056, 21418, 39926, 109749, 198, 99849, 27479, 32977, 108323, 50928, 30512, 30358, 101832, 38144, 109297, 29295, 70349, 112454, 31431, 20834, 106518, 55031, 112454, 121118, 110018, 102052, 5486, 45829, 67645, 32977, 15682, 21990, 74482, 46702, 32149, 9953, 1811, 121633, 50211, 117940, 110924, 55031, 108882, 110993, 112535, 45829, 101662, 38144, 20230, 110284, 54926, 59739, 123731, 103351, 29295, 5486, 104577, 103760, 29295, 50211, 117073, 102717, 19732, 124592, 16556, 45829, 101662, 38144, 30512, 46034, 108044, 119178, 37507, 30369, 101200, 115717, 36896, 10110, 45829, 101662, 38144, 15682, 7705, 86127, 105459, 29295, 54926, 55031, 66383, 121881, 232, 13821, 111, 16144, 48915, 103351, 102677, 9174, 13177, 126920, 5486, 109297, 45829, 29295, 90620, 112454, 76947, 37507, 90620, 76622, 16556, 56051, 1811, 109297, 19732, 45829, 29295, 104577, 103350, 46729, 16556, 127331, 33503, 107113, 119400, 19732, 90620, 101987, 104004, 116245, 29295, 124500, 42891, 90620, 76622, 1811, 115364, 46729, 104468, 101860, 26854, 110115, 5486, 104577, 103760, 29295, 111299, 16144, 103268, 17620, 15682, 117856, 109709, 20230, 37507, 30369, 101200, 115717, 5486, 46729, 16144, 104157, 64209, 30590, 15682, 32335, 109161, 16556, 56051, 9174, 86127, 119279, 104004, 59739, 109913, 58942, 71289, 33334, 104346, 17857, 224, 104309, 45829, 101662, 38144, 20230, 110284, 119607, 19732, 112990, 124620, 33334, 104503, 98369, 10110, 121633, 50211, 98369, 7705, 29295, 107943, 106592, 54926, 109215, 100604, 36761, 19732, 104577, 103760, 20230, 117952, 33121, 100481, 79721, 111329, 104577, 103760, 29295, 117856, 17129, 76947, 103296, 112454, 110104, 104468, 109297, 119279, 124730, 107113, 55031, 1811, 45829, 101662, 38144, 20230, 110284, 56051, 16995, 106592, 109297, 20230, 126014, 58942, 104533, 5486, 100525, 232, 101310, 254, 39177, 23538, 16144, 16937, 112624, 30512, 104369, 126268, 124195, 114732, 9174, 13177, 122412, 16556, 103350, 102923, 84389, 101732, 110176, 106759, 48864, 104297, 10110, 104503, 106759, 108176, 124122, 37026, 112854, 30512, 113096, 17663, 106592, 30832, 112535, 103350, 102923, 110731, 57326, 77750, 32131, 91062, 7705, 20230, 117876, 16144, 72368, 40862, 16556, 110284, 103082, 104435, 116233, 1811, 127880, 117876, 15682, 111299, 105677, 25963, 9080, 44416, 103351, 16144, 119627, 5486, 114166, 9080, 29295, 17701, 100472, 111299, 15682, 58426, 74090, 121914, 125334, 114731, 117084, 103801, 76947, 109807, 106592, 109297, 20230, 64467, 112419, 116216, 124620, 118116, 110018, 55031, 104503, 106759, 108176, 102677, 37026, 112854, 119703, 47884, 72342, 20230, 36761, 19732, 117952, 106824, 103801, 16995, 79721, 111329, 11144, 101908, 122924, 16556, 101662, 116581, 117824, 30297, 102052, 109297, 16144, 37689, 109375, 119254, 32977, 109215, 1811, 115338, 122481, 20230, 106307, 50834, 33541, 11199, 128001, 128000, 2, 220, 114225, 108608, 102456, 106382, 107792, 103664, 16144, 47260, 103223, 6447, 102456, 106382, 29295, 32149, 117295, 102456, 103234, 76947, 11571, 107691, 16995, 53953, 54926, 110018, 16144, 61633, 120098, 32977, 198, 102456, 106382, 16144, 107792, 103664, 102052, 67645, 120950, 41007, 107407, 105879, 109954, 32149, 11571, 102456, 106382, 29295, 32149, 117295, 102456, 103234, 107118, 99849, 11571, 107792, 103664, 16144, 113009, 5486, 102456, 106382, 16144, 32943, 117735, 15682, 67645, 119775, 40452, 17663, 125231, 11571, 123011, 62004, 107691, 114774, 102456, 106382, 16144, 103911, 70203, 16144, 121697, 24273, 5486, 107691, 16995, 53953, 16144, 47260, 103223, 104309, 5486, 110589, 55031, 108608, 102456, 106382, 16144, 107792, 103664, 41007, 30512, 50338, 108323, 78434, 9174, 124042, 51107, 9080, 25, 2366, 16, 8107, 19, 9953, 1691, 9080, 198, 567, 116056, 77219, 16144, 103856, 78183, 107277, 31634, 103664, 108477, 255, 35287, 30832, 51385, 82973, 512, 17, 17792, 71689, 16144, 101083, 115351, 16144, 102456, 106382, 15682, 115274, 16556, 9953, 20230, 103664, 22, 32307, 20, 11, 931, 35757, 198, 102456, 106382, 16556, 32335, 32977, 43240, 47884, 30512, 108928, 109315, 104468, 48915, 102456, 106382, 198, 123011, 62004, 107691, 16995, 5486, 103911, 70203, 104662, 62004, 5486, 110898, 17620, 76622, 104309, 5486, 43568, 22649, 16144, 100604, 102456, 106382, 16144, 107792, 103664, 103991, 30512, 102647, 109416, 30297, 198, 567, 112562, 33671, 198, 567, 220, 16, 2845, 113, 9953, 16144, 102456, 106382, 16144, 115274, 35330, 109518, 30512, 8107, 110226, 103283, 126365, 104533, 95532, 102456, 106382, 30512, 107792, 103664, 54926, 110018, 102052, 115515, 126036, 16995, 126910, 107792, 103664, 126693, 104712, 104865, 5486, 102456, 106382, 120938, 48249, 30512, 16995, 126910, 20230, 126128, 58942, 104984, 104712, 104865, 30512, 126843, 53283, 76947, 33334, 105898, 16995, 102944, 38641, 1811, 110924, 16556, 102456, 106382, 16144, 115274, 35330, 109518, 104088, 38144, 64121, 17129, 109954, 9174, 110022, 102781, 66870, 16144, 13177, 46729, 82420, 104873, 112984, 10110, 679, 24, 8107, 7705, 10646, 103732, 104533, 5486, 17, 17792, 71689, 16144, 101083, 115351, 16144, 198, 102456, 106382, 15682, 115274, 16556, 9953, 22, 32307, 20, 11, 15966, 35757, 38641, 9174, 102456, 106382, 104865, 107277, 32149, 28713, 15682, 5486, 8107, 110226, 113468, 121953, 115991, 33541, 9174, 8107, 110226, 29295, 126574, 101083, 115351, 108680, 102456, 106382, 29295, 126574, 101427, 122, 70141, 115991, 5486, 8107, 110226, 1049, 110743, 55038, 16144, 101083, 115351, 77181, 5486, 106547, 102456, 106382, 30512, 21418, 47884, 102456, 103234, 106382, 29295, 9953, 20, 32307, 18, 11, 15531, 35757, 113115, 39926, 5486, 8107, 110226, 3443, 110743, 55038, 77181, 105490, 226, 21, 110743, 5486, 8107, 110226, 16, 11, 931, 110743, 30512, 72404, 58942, 104533, 220, 22, 110743, 30512, 72404, 107290, 61689, 9174, 58, 111629, 21405, 16, 933, 8107, 110226, 103283, 102240, 56965, 16144, 46456, 20834, 19732, 102456, 106382, 16144, 108928, 109315, 111017, 40862, 10110, 110904, 25129, 5232, 35757, 23954, 64780, 20834, 105586, 5232, 110022, 102781, 66870, 105156, 82420, 91077, 5486, 118326, 107338, 122491, 105156, 82420, 120690, 105212, 105156, 82420, 89154, 108337, 33710, 116229, 13177, 68, 12, 16257, 10646, 30537, 17, 11972, 19, 21405, 101377, 56965, 110226, 17701, 76208, 17620, 25129, 106090, 104297, 103283, 16, 101083, 115351, 40265, 115926, 16, 2845, 113, 9953, 16144, 110226, 17701, 19732, 46456, 20834, 10110, 679, 24, 8107, 7705, 30512, 32977, 19732, 20230, 116882, 30046, 19967, 21405, 198, 67645, 103171, 106382, 30832, 72661, 5486, 108936, 112535, 107792, 103664, 123410, 110018, 102052, 5486, 104654, 106382, 113115, 39926, 67645, 33121, 120264, 16144, 109972, 106529, 101983, 103836, 32149, 30512, 114140, 39926, 111476, 109972, 106529, 16144, 119448, 16995, 102944, 55031, 21403, 232, 104533, 5486, 8239, 114503, 30512, 103350, 99750, 15024, 126172, 16995, 38641, 1811, 66378, 20230, 102456, 106382, 109853, 15682, 5486, 104654, 106382, 20230, 108928, 109315, 102456, 106382, 16144, 111017, 40862, 30512, 13177, 107748, 16073, 105621, 33710, 11743, 28359, 66383, 104712, 5486, 9080, 119400, 55031, 95221, 20230, 103792, 32149, 110241, 33121, 107515, 9174, 104654, 106382, 16144, 115274, 15682, 103664, 1682, 110743, 16556, 106116, 117591, 102456, 106382, 15682, 22, 32307, 20, 11, 15966, 35757, 5486, 59739, 109709, 5486, 76739, 16073, 105621, 33710, 11743, 28359, 15682, 220, 914, 13, 22, 113127, 38641, 1811, 125389, 106382, 29295, 104654, 106382, 16144, 19, 17620, 16144, 16, 71689, 30512, 108928, 109315, 105908, 78183, 107277, 33541, 9174, 102456, 106382, 15682, 9080, 40053, 104654, 20230, 124490, 32149, 72342, 100604, 20834, 106382, 38641, 55031, 5486, 8107, 110226, 112649, 124233, 121140, 101182, 113314, 15682, 109215, 38641, 113637, 103846, 198, 76739, 16073, 105621, 33710, 11743, 28359, 15682, 5486, 8107, 110226, 29295, 126574, 108680, 103167, 16995, 101427, 122, 70141, 115991, 33541, 1811, 8107, 110226, 16, 11, 931, 110743, 30512, 72404, 105262, 101083, 115351, 16144, 76739, 16073, 105621, 33710, 11743, 28359, 15682, 103664, 1313, 4, 19732, 5486, 8107, 110226, 1049, 110743, 55038, 16144, 101083, 115351, 10110, 966, 13, 21, 4, 7705, 105755, 22, 120098, 71689, 103167, 16995, 53610, 107253, 38641, 9174, 8107, 110226, 71289, 104654, 106382, 29295, 45736, 47884, 5486, 32149, 59739, 76739, 16073, 105621, 33710, 11743, 28359, 29295, 126574, 110018, 102052, 5486, 107792, 103664, 113468, 102456, 106382, 30512, 27384, 111044, 20230, 71493, 67075, 108608, 125396, 115991, 33541, 29295, 5486, 8107, 110226, 29295, 103167, 16995, 5486, 125845, 17663, 16556, 20230, 104654, 106382, 30512, 125174, 50520, 108, 62004, 100481, 38144, 76739, 16073, 105621, 33710, 11743, 28359, 29295, 126574, 110018, 102052, 115847, 71689, 102456, 106382, 16556, 107792, 103664, 108608, 89783, 30590, 15682, 30591, 109709, 100604, 105908, 57903, 33541, 9174, 567, 125389, 106382, 107809, 16556, 111017, 40862, 29295, 126574, 104468, 48915 ]
[ 102456, 106382, 198, 104654, 106382, 107809, 113245, 102456, 106382, 16144, 111017, 40862, 104088, 127567, 5486, 33671, 20230, 198, 102456, 106382, 16144, 32943, 117735, 32977, 64121, 38144, 64121, 17129, 109954, 9174, 17905, 43032, 16144, 110022, 102781, 66870, 16144, 104873, 112984, 77181, 5486, 102456, 106382, 30512, 33354, 222, 104770, 5486, 115371, 75910, 104770, 5486, 107079, 104770, 104309, 717, 104091, 104770, 16144, 46456, 20834, 20230, 17620, 104770, 127145, 113637, 117591, 5486, 32335, 32977, 43240, 47884, 30512, 108928, 109315, 104468, 198, 48915, 102456, 106382, 38641, 1811, 115274, 77181, 5486, 102456, 106382, 37087, 33014, 103664, 22, 32307, 20, 11, 931, 35757, 16144, 117591, 5486, 106547, 102456, 106382, 15682, 103664, 16, 32307, 17, 11, 7007, 35757, 102677, 113702, 38641, 9174, 8107, 110226, 3443, 110743, 55038, 103296, 16144, 118006, 77181, 5486, 48915, 102456, 106382, 15682, 115274, 109518, 20230, 57106, 103854, 27384, 111044, 20230, 126128, 58942, 124195, 61689, 109807, 103846, 5486, 102456, 106382, 16556, 43240, 47884, 30512, 108928, 109315, 104468, 198, 104873, 22649, 119008, 102677, 113702, 117084, 61689, 9174, 116900, 20230, 5486, 33354, 222, 104770, 71289, 115371, 75910, 104770, 5486, 111528, 105107, 25446, 71289, 11239, 113, 5486, 102212, 108171, 104309, 15682, 5486, 102456, 106382, 20230, 108928, 109315, 111017, 40862, 29295, 77693, 108680, 119448, 47884, 103470, 5486, 32149, 59739, 5486, 107079, 104770, 30512, 16144, 108422, 126145, 8107, 110226, 111848, 104364, 32977, 30591, 109709, 119448, 47884, 100604, 117840, 1811, 102456, 30926, 126694, 30369, 124122, 102456, 103234, 106382, 15682, 5486, 16, 9080, 18, 102456, 5486, 16, 2845, 113, 9953, 20230, 966, 9080, 17620, 29295, 109215, 38641, 55031, 5486, 40862, 82420, 126693, 123011, 117864, 35330, 109518, 108176, 102944, 16144, 5486, 16, 102456, 30591, 115926, 77181, 77693, 108680, 45736, 109518, 26854, 102944, 15682, 48154, 47884, 15120, 34048, 123253, 9174, 38641, 55031, 5486, 102456, 106382, 30512, 107792, 103664, 54926, 110018, 102052, 111476, 118430, 27479, 29295, 103167, 16995, 78183, 112586, 46456, 20834, 29295, 127181, 48915, 102456, 106382, 71289, 104873, 22649, 119008, 30512, 104622, 61826, 112535, 91774, 74245, 15024, 106116, 123090, 104398, 107188, 102456, 103234, 106382, 16144, 107792, 103664, 30512, 111800, 118219, 112990, 103424, 117714, 111769, 123253, 32149, 9174, 77181, 5486, 102456, 106382, 16144, 107792, 103664, 41007, 30512, 118789, 112535, 123680, 102639, 38144, 64121, 17129, 109954, 9174, 58, 111629, 21405, 17, 933, 8107, 110226, 24775, 17620, 103283, 125389, 106382, 16144, 16, 2845, 113, 9953, 115274, 109518, 32943, 117735, 10110, 110904, 25129, 5232, 35757, 23954, 567, 55699, 114503, 109904, 102456, 106382, 16144, 107792, 103664, 103991, 33334, 125683, 62004, 23, 59739, 198, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 16, 13, 102456, 106382, 16144, 103911, 70203, 30512, 104662, 109315, 198, 126843, 106081, 56051, 16995, 112973, 111476, 102456, 106382, 16144, 103911, 70203, 30512, 104662, 109315, 100909, 38641, 9174, 102456, 42506, 15682, 121410, 9080, 109215, 26854, 102944, 38641, 55031, 123334, 64121, 47884, 32977, 20230, 125174, 50520, 108, 62004, 106307, 76622, 104533, 127814, 106824, 103801, 61689, 1811, 113614, 28190, 72661, 64209, 55487, 38641, 1811, 16, 2845, 113, 9953, 16144, 102456, 106382, 16144, 20834, 106382, 109518, 30512, 16995, 126910, 117657, 32149, 106116, 113009, 102321, 103397, 126036, 16995, 126910, 107792, 103664, 54926, 32149, 5486, 31958, 105184, 26854, 83687, 16556, 30832, 105888, 30512, 121697, 104533, 5486, 82420, 55723, 112535, 107792, 103664, 125545, 9174, 110241, 5486, 108064, 32977, 46729, 82420, 107218, 123, 30512, 122382, 100934, 104309, 16556, 5486, 78183, 29295, 46729, 16144, 102456, 106382, 29295, 16, 2845, 113, 9953, 20230, 16995, 126910, 32149, 32149, 103836, 32149, 30512, 102178, 111665, 109768, 104984, 106116, 35330, 109518, 30512, 32977, 19732, 20230, 103911, 70203, 19732, 30832, 105888, 30512, 116700, 78434, 9174, 28713, 19732, 116285, 102456, 106382, 30512, 198, 102321, 103397, 126036, 16, 111017, 71493, 67075, 54926, 106592, 30832, 105888, 116446, 64121, 30369, 5486, 104309, 38641, 1811, 102321, 103397, 16556, 32149, 32149, 103836, 102456, 106382, 29295, 23, 110743, 105110, 5486, 71493, 67075, 56051, 16995, 35330, 109518, 15682, 9953, 20230, 23, 11, 931, 35757, 5486, 102456, 106382, 16144, 30832, 105888, 109518, 15682, 22, 32307, 17, 11, 931, 35757, 115717, 33541, 9174, 16995, 17129, 5486, 102456, 106382, 20230, 16995, 126910, 32149, 32149, 103836, 104865, 102178, 111665, 103082, 126386, 5486, 121410, 9953, 16144, 104721, 91875, 29295, 106266, 106624, 38144, 114652, 78183, 124403, 126513, 5486, 17905, 43032, 56051, 198, 115274, 109518, 30512, 121846, 116446, 32977, 32149, 17129, 16995, 107515, 9174, 17905, 43032, 16144, 119526, 15682, 8107, 110226, 103283, 16144, 115274, 109518, 30512, 19012, 110, 107121, 127145, 29295, 5486, 102456, 106382, 104865, 107277, 24273, 15682, 122013, 124911, 9039, 113468, 32977, 124500, 76947, 50834, 33541, 9174, 101908, 122924, 17, 107707, 118006, 105110, 9953, 20230, 21, 110743, 21909, 22, 110743, 5486, 45829, 67645, 32977, 29295, 107991, 118006, 104309, 220, 18, 21909, 19, 17792, 122013, 105110, 22, 110743, 21909, 23, 110743, 25580, 74482, 5486, 20, 17792, 71689, 105110, 24, 110743, 21909, 605, 110743, 29295, 30832, 51385, 115717, 102131, 38641, 9174, 90620, 5486, 102321, 103397, 16556, 115274, 126036, 107188, 31431, 102456, 106382, 29295, 32149, 32149, 103836, 118006, 77181, 5486, 105047, 20230, 115274, 109518, 20230, 103296, 126128, 105262, 104468, 111108, 102800, 123253, 127211, 111044, 20230, 114485, 33503, 17663, 19732, 5486, 122013, 16144, 104654, 113245, 112624, 102780, 99750, 32977, 125173, 26854, 123671, 32149, 101832, 107515, 55031, 111476, 126843, 15682, 31809, 30813, 26854, 35330, 109518, 72661, 32149, 17129, 16995, 107515, 9174, 37271, 9953, 15682, 68759, 25197, 96452, 22398, 20, 11, 931, 35757, 5486, 37507, 9953, 15682, 68759, 25197, 96452, 22398, 16, 110743, 119775, 5486, 83747, 21105, 248, 59739, 107792, 103664, 109518, 30512, 115079, 126172, 41007, 32977, 57903, 33541, 1811, 102321, 103350, 109904, 30832, 105888, 55031, 27704, 107436, 5486, 43568, 22649, 103470, 120321, 106307, 112535, 107792, 103664, 54926, 105908, 27384, 102769, 38641, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 17, 13, 48915, 102456, 106382, 16144, 103911, 70203, 30512, 78183, 105784, 198, 102456, 106382, 37087, 33014, 16144, 103911, 70203, 30512, 104662, 109315, 112973, 111108, 102800, 110018, 102052, 111476, 48915, 102456, 106382, 16144, 103911, 70203, 103378, 30512, 116700, 54926, 41007, 32977, 57903, 33541, 1811, 106547, 102456, 106382, 15682, 102456, 106382, 107809, 16556, 32335, 32977, 43240, 47884, 30512, 108928, 107436, 61689, 118855, 5486, 37026, 100479, 232, 20230, 109215, 26854, 102456, 103234, 16144, 109198, 17701, 106382, 126036, 110904, 95001, 29295, 45736, 109518, 26854, 103846, 5486, 102240, 20230, 9039, 18904, 113314, 16144, 48915, 102456, 72661, 20834, 106382, 29295, 105104, 126910, 64121, 29295, 43514, 38641, 9174, 18, 11, 931, 35757, 30512, 107792, 103664, 119607, 114267, 110018, 5486, 109022, 111528, 71289, 11239, 113, 104309, 102456, 103234, 16144, 109198, 17701, 106382, 30512, 18, 11, 931, 35757, 17620, 107792, 103664, 54926, 16144, 19732, 5486, 115320, 64121, 120650, 119064, 30512, 16, 18904, 71289, 107436, 18, 11, 931, 35757, 107792, 103664, 54926, 16144, 77181, 5486, 32149, 117295, 8239, 112, 48634, 29295, 119448, 47884, 108010, 30297, 116497, 38641, 9174, 48915, 102456, 106382, 103378, 72661, 107792, 103664, 39926, 5486, 46456, 20834, 30512, 103911, 70203, 32943, 20230, 110226, 109315, 108710, 101557, 96, 116825, 76622, 104533, 5486, 8239, 114503, 30512, 103350, 99750, 15024, 126172, 16995, 38641, 9174, 48915, 102456, 106382, 16144, 103911, 70203, 15682, 5486, 122013, 106391, 13153, 71289, 8107, 110226, 5486, 104654, 105335, 106696, 104309, 113468, 119448, 47884, 108901, 26854, 31431, 33541, 29295, 111476, 115274, 9554, 102052, 9953, 20230, 16, 110743, 25580, 74482, 29295, 30832, 51385, 38641, 9174, 16, 111299, 122756, 112990, 18, 11, 931, 35757, 25580, 74482, 119627, 5486, 8107, 106968, 8107, 27704, 104309, 25197, 102832, 52414, 48154, 19732, 71289, 114308, 40862, 117714, 127181, 57207, 106240, 16073, 102052, 72404, 107290, 114732, 115789, 101182, 123253, 9174, 8107, 56965, 16144, 103911, 70203, 32977, 121697, 38144, 5486, 72404, 107290, 114604, 33503, 102048, 234, 9953, 15682, 103851, 105262, 104309, 39926, 104873, 64531, 103082, 104533, 57980, 16995, 38641, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 18, 13, 102456, 103234, 30512, 123011, 62004, 107691, 16995, 54926, 198, 102456, 100853, 100, 25446, 16144, 109198, 17701, 16556, 102456, 106382, 29295, 104735, 101, 33503, 64121, 29295, 43514, 26854, 110018, 102052, 111476, 123011, 62004, 107691, 16995, 30512, 106081, 39926, 64121, 17129, 109954, 9174, 43568, 82420, 55723, 20230, 107691, 16995, 53953, 120650, 119064, 30512, 71289, 109315, 118733, 5486, 66378, 20230, 107691, 30297, 103911, 23187, 29295, 104435, 16144, 101983, 127842, 103470, 22398, 113390, 108941, 38248, 109, 67075, 71289, 109713, 91482, 78683, 76739, 107446, 71634, 39880, 20230, 118013, 108385, 76947, 5486, 109215, 100604, 102944, 30512, 107691, 76947, 114732, 16144, 30512, 103181, 104699, 105908, 125545, 118855, 16, 111299, 56965, 17620, 104309, 61826, 16144, 103911, 23187, 30512, 113727, 106272, 107691, 30297, 118733, 111476, 82420, 55723, 112535, 109215, 26854, 102944, 103378, 30512, 107691, 30297, 108710, 101557, 96, 30512, 96356, 107294, 76622, 102204, 33541, 9174, 123011, 62004, 107691, 16995, 15682, 198, 16, 111299, 122756, 16, 18904, 5486, 16, 111299, 122756, 17, 18904, 104309, 5486, 105994, 125030, 76947, 106307, 76622, 126172, 16995, 118430, 27479, 16556, 32149, 17129, 16995, 107515, 9174, 102456, 106382, 16144, 103911, 70203, 30512, 104662, 62004, 100481, 104984, 5486, 123011, 62004, 107691, 117714, 118430, 27479, 20230, 114146, 38144, 5486, 16, 18904, 16144, 107691, 16995, 53953, 16556, 33655, 105262, 103911, 70203, 32977, 104662, 62004, 102204, 33541, 1811, 28713, 19732, 116285, 16, 2845, 113, 9953, 16144, 102456, 103234, 106382, 16144, 103911, 70203, 29295, 21, 110743, 36785, 114267, 33503, 5486, 16, 111299, 122756, 33655, 105262, 104468, 16, 32307, 20, 11, 931, 35757, 1811, 111299, 20230, 17, 18904, 107691, 16995, 53953, 120650, 47884, 105110, 5486, 16, 18904, 16556, 33655, 105262, 104468, 22, 11, 2636, 35757, 115717, 33541, 9174, 44971, 76428, 113245, 38093, 82420, 126101, 51330, 103911, 70203, 107898, 30813, 115464, 104466, 37689, 109375, 39926, 33334, 76622, 81219, 5486, 111654, 102800, 55031, 102083, 76947, 109215, 100604, 102944, 116825, 16995, 71493, 103621, 109156, 106824, 114732, 16144, 30512, 126128, 58942, 110071, 32149, 110241, 33121, 107515, 1811, 125634, 67075, 22398, 124603, 30512, 107740, 103792, 126513, 5486, 23187, 23538, 109198, 17701, 16144, 125175, 30512, 102332, 76622, 100934, 110229, 32977, 57903, 5486, 220, 123011, 62004, 107691, 16995, 30512, 15024, 126172, 16995, 38641, 1811, 104662, 111587, 123410, 112772, 106555, 103621, 107809, 16144, 47043, 16144, 40862, 82420, 109518, 29295, 52563, 107001, 105879, 5486, 103911, 70203, 32943, 16556, 107691, 16995, 53953, 103082, 100934, 32149, 32977, 114140, 125545, 9174, 109198, 17701, 56051, 74482, 105352, 106116, 198, 9953, 16144, 109198, 17701, 16144, 116011, 82420, 109518, 104088, 102204, 104533, 107404, 29295, 127181, 105879, 5486, 9953, 106968, 103296, 30591, 102083, 126910, 103911, 70203, 29295, 108618, 103836, 32149, 32977, 114140, 125545, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 19, 13, 107691, 16995, 53953, 120650, 47884, 9080, 30512, 104662, 109315, 198, 123011, 62004, 107691, 16995, 19732, 107173, 20230, 106081, 56051, 16995, 112973, 111476, 107691, 16995, 53953, 120650, 47884, 9080, 30512, 104662, 109315, 100909, 38641, 9174, 121410, 111299, 9080, 121914, 5486, 121410, 9953, 868, 9080, 104309, 5486, 104662, 109013, 9080, 103378, 20230, 107691, 16995, 53953, 112990, 104662, 107436, 33334, 50834, 33541, 1811, 120098, 18, 98406, 68408, 38248, 226, 66378, 105525, 104309, 30512, 109768, 104533, 5486, 59739, 16995, 103911, 23187, 101983, 47884, 111243, 107691, 16995, 53953, 20230, 118013, 108385, 31431, 28713, 115737, 31431, 33541, 29295, 5486, 110924, 15682, 104699, 104043, 22957, 33503, 107290, 29295, 17129, 25827, 78434, 9174, 120098, 15682, 77693, 108680, 80631, 107, 17129, 33503, 103470, 111243, 5486, 66378, 105525, 16144, 9080, 126036, 51385, 47884, 107691, 58942, 103470, 111243, 5486, 43568, 102147, 226, 26854, 102944, 30512, 107691, 76947, 114732, 105755, 15682, 107792, 103664, 108608, 105908, 127181, 38641, 9174, 107691, 16995, 53953, 120650, 47884, 9080, 30512, 104662, 107436, 33334, 76622, 81219, 5486, 103911, 23187, 48915, 20230, 102456, 106382, 124905, 76947, 114732, 109335, 124897, 55031, 5486, 103911, 70203, 16144, 40452, 110241, 126172, 115737, 31431, 33541, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 20, 13, 102456, 106382, 11883, 16144, 112686, 52927, 30512, 103283, 117657, 198, 118656, 112535, 103911, 70203, 71689, 20230, 33655, 78183, 100604, 106624, 64121, 126694, 30369, 41007, 32977, 57903, 33541, 109807, 106691, 27452, 29295, 13177, 198, 110898, 17620, 76622, 10646, 38641, 1811, 115861, 233, 17620, 76622, 107118, 5486, 106382, 30832, 48154, 110792, 107248, 127946, 30512, 11883, 37689, 39926, 108048, 108422, 33121, 16144, 107248, 127946, 20230, 106382, 30832, 48154, 110792, 103911, 70203, 109518, 16144, 102321, 35330, 30512, 17701, 106824, 33334, 47884, 46729, 82420, 40452, 25333, 38641, 122262, 35330, 124905, 30297, 110018, 102052, 106116, 107248, 127946, 55031, 108167, 20834, 39926, 33655, 61689, 1811, 108618, 45736, 29295, 123733, 104984, 77693, 71689, 107691, 16995, 53953, 118765, 105879, 5486, 91062, 99959, 124955, 16995, 30512, 103181, 102639, 33541, 9174, 110898, 17620, 76622, 123410, 118733, 111476, 37271, 9953, 20230, 30591, 19732, 67645, 33121, 120264, 33655, 105262, 32149, 29295, 15120, 30832, 104921, 255, 61994, 38641, 1811, 85707, 62004, 109156, 103468, 35330, 109518, 19732, 112599, 16144, 108618, 109518, 30512, 57106, 103854, 104984, 115515, 103296, 20230, 33655, 100472, 35330, 109518, 16144, 116011, 82420, 32977, 78183, 107277, 33541, 124845, 112686, 52927, 19732, 108010, 30297, 104468, 5486, 59330, 223, 127946, 20230, 102181, 50834, 104526, 109315, 100909, 1811, 33655, 100472, 35330, 109518, 71289, 108618, 109518, 104309, 30512, 21405, 20230, 102181, 102532, 33334, 76622, 81219, 5486, 110898, 125523, 107441, 64121, 103470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 102456, 106382, 198, 104654, 106382, 107809, 113245, 102456, 106382, 16144, 111017, 40862, 104088, 127567, 5486, 33671, 20230, 198, 102456, 106382, 16144, 32943, 117735, 32977, 64121, 38144, 64121, 17129, 109954, 9174, 17905, 43032, 16144, 110022, 102781, 66870, 16144, 104873, 112984, 77181, 5486, 102456, 106382, 30512, 33354, 222, 104770, 5486, 115371, 75910, 104770, 5486, 107079, 104770, 104309, 717, 104091, 104770, 16144, 46456, 20834, 20230, 17620, 104770, 127145, 113637, 117591, 5486, 32335, 32977, 43240, 47884, 30512, 108928, 109315, 104468, 198, 48915, 102456, 106382, 38641, 1811, 115274, 77181, 5486, 102456, 106382, 37087, 33014, 103664, 22, 32307, 20, 11, 931, 35757, 16144, 117591, 5486, 106547, 102456, 106382, 15682, 103664, 16, 32307, 17, 11, 7007, 35757, 102677, 113702, 38641, 9174, 8107, 110226, 3443, 110743, 55038, 103296, 16144, 118006, 77181, 5486, 48915, 102456, 106382, 15682, 115274, 109518, 20230, 57106, 103854, 27384, 111044, 20230, 126128, 58942, 124195, 61689, 109807, 103846, 5486, 102456, 106382, 16556, 43240, 47884, 30512, 108928, 109315, 104468, 198, 104873, 22649, 119008, 102677, 113702, 117084, 61689, 9174, 116900, 20230, 5486, 33354, 222, 104770, 71289, 115371, 75910, 104770, 5486, 111528, 105107, 25446, 71289, 11239, 113, 5486, 102212, 108171, 104309, 15682, 5486, 102456, 106382, 20230, 108928, 109315, 111017, 40862, 29295, 77693, 108680, 119448, 47884, 103470, 5486, 32149, 59739, 5486, 107079, 104770, 30512, 16144, 108422, 126145, 8107, 110226, 111848, 104364, 32977, 30591, 109709, 119448, 47884, 100604, 117840, 1811, 102456, 30926, 126694, 30369, 124122, 102456, 103234, 106382, 15682, 5486, 16, 9080, 18, 102456, 5486, 16, 2845, 113, 9953, 20230, 966, 9080, 17620, 29295, 109215, 38641, 55031, 5486, 40862, 82420, 126693, 123011, 117864, 35330, 109518, 108176, 102944, 16144, 5486, 16, 102456, 30591, 115926, 77181, 77693, 108680, 45736, 109518, 26854, 102944, 15682, 48154, 47884, 15120, 34048, 123253, 9174, 38641, 55031, 5486, 102456, 106382, 30512, 107792, 103664, 54926, 110018, 102052, 111476, 118430, 27479, 29295, 103167, 16995, 78183, 112586, 46456, 20834, 29295, 127181, 48915, 102456, 106382, 71289, 104873, 22649, 119008, 30512, 104622, 61826, 112535, 91774, 74245, 15024, 106116, 123090, 104398, 107188, 102456, 103234, 106382, 16144, 107792, 103664, 30512, 111800, 118219, 112990, 103424, 117714, 111769, 123253, 32149, 9174, 77181, 5486, 102456, 106382, 16144, 107792, 103664, 41007, 30512, 118789, 112535, 123680, 102639, 38144, 64121, 17129, 109954, 9174, 58, 111629, 21405, 17, 933, 8107, 110226, 24775, 17620, 103283, 125389, 106382, 16144, 16, 2845, 113, 9953, 115274, 109518, 32943, 117735, 10110, 110904, 25129, 5232, 35757, 23954, 567, 55699, 114503, 109904, 102456, 106382, 16144, 107792, 103664, 103991, 33334, 125683, 62004, 23, 59739, 198, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 16, 13, 102456, 106382, 16144, 103911, 70203, 30512, 104662, 109315, 198, 126843, 106081, 56051, 16995, 112973, 111476, 102456, 106382, 16144, 103911, 70203, 30512, 104662, 109315, 100909, 38641, 9174, 102456, 42506, 15682, 121410, 9080, 109215, 26854, 102944, 38641, 55031, 123334, 64121, 47884, 32977, 20230, 125174, 50520, 108, 62004, 106307, 76622, 104533, 127814, 106824, 103801, 61689, 1811, 113614, 28190, 72661, 64209, 55487, 38641, 1811, 16, 2845, 113, 9953, 16144, 102456, 106382, 16144, 20834, 106382, 109518, 30512, 16995, 126910, 117657, 32149, 106116, 113009, 102321, 103397, 126036, 16995, 126910, 107792, 103664, 54926, 32149, 5486, 31958, 105184, 26854, 83687, 16556, 30832, 105888, 30512, 121697, 104533, 5486, 82420, 55723, 112535, 107792, 103664, 125545, 9174, 110241, 5486, 108064, 32977, 46729, 82420, 107218, 123, 30512, 122382, 100934, 104309, 16556, 5486, 78183, 29295, 46729, 16144, 102456, 106382, 29295, 16, 2845, 113, 9953, 20230, 16995, 126910, 32149, 32149, 103836, 32149, 30512, 102178, 111665, 109768, 104984, 106116, 35330, 109518, 30512, 32977, 19732, 20230, 103911, 70203, 19732, 30832, 105888, 30512, 116700, 78434, 9174, 28713, 19732, 116285, 102456, 106382, 30512, 198, 102321, 103397, 126036, 16, 111017, 71493, 67075, 54926, 106592, 30832, 105888, 116446, 64121, 30369, 5486, 104309, 38641, 1811, 102321, 103397, 16556, 32149, 32149, 103836, 102456, 106382, 29295, 23, 110743, 105110, 5486, 71493, 67075, 56051, 16995, 35330, 109518, 15682, 9953, 20230, 23, 11, 931, 35757, 5486, 102456, 106382, 16144, 30832, 105888, 109518, 15682, 22, 32307, 17, 11, 931, 35757, 115717, 33541, 9174, 16995, 17129, 5486, 102456, 106382, 20230, 16995, 126910, 32149, 32149, 103836, 104865, 102178, 111665, 103082, 126386, 5486, 121410, 9953, 16144, 104721, 91875, 29295, 106266, 106624, 38144, 114652, 78183, 124403, 126513, 5486, 17905, 43032, 56051, 198, 115274, 109518, 30512, 121846, 116446, 32977, 32149, 17129, 16995, 107515, 9174, 17905, 43032, 16144, 119526, 15682, 8107, 110226, 103283, 16144, 115274, 109518, 30512, 19012, 110, 107121, 127145, 29295, 5486, 102456, 106382, 104865, 107277, 24273, 15682, 122013, 124911, 9039, 113468, 32977, 124500, 76947, 50834, 33541, 9174, 101908, 122924, 17, 107707, 118006, 105110, 9953, 20230, 21, 110743, 21909, 22, 110743, 5486, 45829, 67645, 32977, 29295, 107991, 118006, 104309, 220, 18, 21909, 19, 17792, 122013, 105110, 22, 110743, 21909, 23, 110743, 25580, 74482, 5486, 20, 17792, 71689, 105110, 24, 110743, 21909, 605, 110743, 29295, 30832, 51385, 115717, 102131, 38641, 9174, 90620, 5486, 102321, 103397, 16556, 115274, 126036, 107188, 31431, 102456, 106382, 29295, 32149, 32149, 103836, 118006, 77181, 5486, 105047, 20230, 115274, 109518, 20230, 103296, 126128, 105262, 104468, 111108, 102800, 123253, 127211, 111044, 20230, 114485, 33503, 17663, 19732, 5486, 122013, 16144, 104654, 113245, 112624, 102780, 99750, 32977, 125173, 26854, 123671, 32149, 101832, 107515, 55031, 111476, 126843, 15682, 31809, 30813, 26854, 35330, 109518, 72661, 32149, 17129, 16995, 107515, 9174, 37271, 9953, 15682, 68759, 25197, 96452, 22398, 20, 11, 931, 35757, 5486, 37507, 9953, 15682, 68759, 25197, 96452, 22398, 16, 110743, 119775, 5486, 83747, 21105, 248, 59739, 107792, 103664, 109518, 30512, 115079, 126172, 41007, 32977, 57903, 33541, 1811, 102321, 103350, 109904, 30832, 105888, 55031, 27704, 107436, 5486, 43568, 22649, 103470, 120321, 106307, 112535, 107792, 103664, 54926, 105908, 27384, 102769, 38641, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 17, 13, 48915, 102456, 106382, 16144, 103911, 70203, 30512, 78183, 105784, 198, 102456, 106382, 37087, 33014, 16144, 103911, 70203, 30512, 104662, 109315, 112973, 111108, 102800, 110018, 102052, 111476, 48915, 102456, 106382, 16144, 103911, 70203, 103378, 30512, 116700, 54926, 41007, 32977, 57903, 33541, 1811, 106547, 102456, 106382, 15682, 102456, 106382, 107809, 16556, 32335, 32977, 43240, 47884, 30512, 108928, 107436, 61689, 118855, 5486, 37026, 100479, 232, 20230, 109215, 26854, 102456, 103234, 16144, 109198, 17701, 106382, 126036, 110904, 95001, 29295, 45736, 109518, 26854, 103846, 5486, 102240, 20230, 9039, 18904, 113314, 16144, 48915, 102456, 72661, 20834, 106382, 29295, 105104, 126910, 64121, 29295, 43514, 38641, 9174, 18, 11, 931, 35757, 30512, 107792, 103664, 119607, 114267, 110018, 5486, 109022, 111528, 71289, 11239, 113, 104309, 102456, 103234, 16144, 109198, 17701, 106382, 30512, 18, 11, 931, 35757, 17620, 107792, 103664, 54926, 16144, 19732, 5486, 115320, 64121, 120650, 119064, 30512, 16, 18904, 71289, 107436, 18, 11, 931, 35757, 107792, 103664, 54926, 16144, 77181, 5486, 32149, 117295, 8239, 112, 48634, 29295, 119448, 47884, 108010, 30297, 116497, 38641, 9174, 48915, 102456, 106382, 103378, 72661, 107792, 103664, 39926, 5486, 46456, 20834, 30512, 103911, 70203, 32943, 20230, 110226, 109315, 108710, 101557, 96, 116825, 76622, 104533, 5486, 8239, 114503, 30512, 103350, 99750, 15024, 126172, 16995, 38641, 9174, 48915, 102456, 106382, 16144, 103911, 70203, 15682, 5486, 122013, 106391, 13153, 71289, 8107, 110226, 5486, 104654, 105335, 106696, 104309, 113468, 119448, 47884, 108901, 26854, 31431, 33541, 29295, 111476, 115274, 9554, 102052, 9953, 20230, 16, 110743, 25580, 74482, 29295, 30832, 51385, 38641, 9174, 16, 111299, 122756, 112990, 18, 11, 931, 35757, 25580, 74482, 119627, 5486, 8107, 106968, 8107, 27704, 104309, 25197, 102832, 52414, 48154, 19732, 71289, 114308, 40862, 117714, 127181, 57207, 106240, 16073, 102052, 72404, 107290, 114732, 115789, 101182, 123253, 9174, 8107, 56965, 16144, 103911, 70203, 32977, 121697, 38144, 5486, 72404, 107290, 114604, 33503, 102048, 234, 9953, 15682, 103851, 105262, 104309, 39926, 104873, 64531, 103082, 104533, 57980, 16995, 38641, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 18, 13, 102456, 103234, 30512, 123011, 62004, 107691, 16995, 54926, 198, 102456, 100853, 100, 25446, 16144, 109198, 17701, 16556, 102456, 106382, 29295, 104735, 101, 33503, 64121, 29295, 43514, 26854, 110018, 102052, 111476, 123011, 62004, 107691, 16995, 30512, 106081, 39926, 64121, 17129, 109954, 9174, 43568, 82420, 55723, 20230, 107691, 16995, 53953, 120650, 119064, 30512, 71289, 109315, 118733, 5486, 66378, 20230, 107691, 30297, 103911, 23187, 29295, 104435, 16144, 101983, 127842, 103470, 22398, 113390, 108941, 38248, 109, 67075, 71289, 109713, 91482, 78683, 76739, 107446, 71634, 39880, 20230, 118013, 108385, 76947, 5486, 109215, 100604, 102944, 30512, 107691, 76947, 114732, 16144, 30512, 103181, 104699, 105908, 125545, 118855, 16, 111299, 56965, 17620, 104309, 61826, 16144, 103911, 23187, 30512, 113727, 106272, 107691, 30297, 118733, 111476, 82420, 55723, 112535, 109215, 26854, 102944, 103378, 30512, 107691, 30297, 108710, 101557, 96, 30512, 96356, 107294, 76622, 102204, 33541, 9174, 123011, 62004, 107691, 16995, 15682, 198, 16, 111299, 122756, 16, 18904, 5486, 16, 111299, 122756, 17, 18904, 104309, 5486, 105994, 125030, 76947, 106307, 76622, 126172, 16995, 118430, 27479, 16556, 32149, 17129, 16995, 107515, 9174, 102456, 106382, 16144, 103911, 70203, 30512, 104662, 62004, 100481, 104984, 5486, 123011, 62004, 107691, 117714, 118430, 27479, 20230, 114146, 38144, 5486, 16, 18904, 16144, 107691, 16995, 53953, 16556, 33655, 105262, 103911, 70203, 32977, 104662, 62004, 102204, 33541, 1811, 28713, 19732, 116285, 16, 2845, 113, 9953, 16144, 102456, 103234, 106382, 16144, 103911, 70203, 29295, 21, 110743, 36785, 114267, 33503, 5486, 16, 111299, 122756, 33655, 105262, 104468, 16, 32307, 20, 11, 931, 35757, 1811, 111299, 20230, 17, 18904, 107691, 16995, 53953, 120650, 47884, 105110, 5486, 16, 18904, 16556, 33655, 105262, 104468, 22, 11, 2636, 35757, 115717, 33541, 9174, 44971, 76428, 113245, 38093, 82420, 126101, 51330, 103911, 70203, 107898, 30813, 115464, 104466, 37689, 109375, 39926, 33334, 76622, 81219, 5486, 111654, 102800, 55031, 102083, 76947, 109215, 100604, 102944, 116825, 16995, 71493, 103621, 109156, 106824, 114732, 16144, 30512, 126128, 58942, 110071, 32149, 110241, 33121, 107515, 1811, 125634, 67075, 22398, 124603, 30512, 107740, 103792, 126513, 5486, 23187, 23538, 109198, 17701, 16144, 125175, 30512, 102332, 76622, 100934, 110229, 32977, 57903, 5486, 220, 123011, 62004, 107691, 16995, 30512, 15024, 126172, 16995, 38641, 1811, 104662, 111587, 123410, 112772, 106555, 103621, 107809, 16144, 47043, 16144, 40862, 82420, 109518, 29295, 52563, 107001, 105879, 5486, 103911, 70203, 32943, 16556, 107691, 16995, 53953, 103082, 100934, 32149, 32977, 114140, 125545, 9174, 109198, 17701, 56051, 74482, 105352, 106116, 198, 9953, 16144, 109198, 17701, 16144, 116011, 82420, 109518, 104088, 102204, 104533, 107404, 29295, 127181, 105879, 5486, 9953, 106968, 103296, 30591, 102083, 126910, 103911, 70203, 29295, 108618, 103836, 32149, 32977, 114140, 125545, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 19, 13, 107691, 16995, 53953, 120650, 47884, 9080, 30512, 104662, 109315, 198, 123011, 62004, 107691, 16995, 19732, 107173, 20230, 106081, 56051, 16995, 112973, 111476, 107691, 16995, 53953, 120650, 47884, 9080, 30512, 104662, 109315, 100909, 38641, 9174, 121410, 111299, 9080, 121914, 5486, 121410, 9953, 868, 9080, 104309, 5486, 104662, 109013, 9080, 103378, 20230, 107691, 16995, 53953, 112990, 104662, 107436, 33334, 50834, 33541, 1811, 120098, 18, 98406, 68408, 38248, 226, 66378, 105525, 104309, 30512, 109768, 104533, 5486, 59739, 16995, 103911, 23187, 101983, 47884, 111243, 107691, 16995, 53953, 20230, 118013, 108385, 31431, 28713, 115737, 31431, 33541, 29295, 5486, 110924, 15682, 104699, 104043, 22957, 33503, 107290, 29295, 17129, 25827, 78434, 9174, 120098, 15682, 77693, 108680, 80631, 107, 17129, 33503, 103470, 111243, 5486, 66378, 105525, 16144, 9080, 126036, 51385, 47884, 107691, 58942, 103470, 111243, 5486, 43568, 102147, 226, 26854, 102944, 30512, 107691, 76947, 114732, 105755, 15682, 107792, 103664, 108608, 105908, 127181, 38641, 9174, 107691, 16995, 53953, 120650, 47884, 9080, 30512, 104662, 107436, 33334, 76622, 81219, 5486, 103911, 23187, 48915, 20230, 102456, 106382, 124905, 76947, 114732, 109335, 124897, 55031, 5486, 103911, 70203, 16144, 40452, 110241, 126172, 115737, 31431, 33541, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 20, 13, 102456, 106382, 11883, 16144, 112686, 52927, 30512, 103283, 117657, 198, 118656, 112535, 103911, 70203, 71689, 20230, 33655, 78183, 100604, 106624, 64121, 126694, 30369, 41007, 32977, 57903, 33541, 109807, 106691, 27452, 29295, 13177, 198, 110898, 17620, 76622, 10646, 38641, 1811, 115861, 233, 17620, 76622, 107118, 5486, 106382, 30832, 48154, 110792, 107248, 127946, 30512, 11883, 37689, 39926, 108048, 108422, 33121, 16144, 107248, 127946, 20230, 106382, 30832, 48154, 110792, 103911, 70203, 109518, 16144, 102321, 35330, 30512, 17701, 106824, 33334, 47884, 46729, 82420, 40452, 25333, 38641, 122262, 35330, 124905, 30297, 110018, 102052, 106116, 107248, 127946, 55031, 108167, 20834, 39926, 33655, 61689, 1811, 108618, 45736, 29295, 123733, 104984, 77693, 71689, 107691, 16995, 53953, 118765, 105879, 5486, 91062, 99959, 124955, 16995, 30512, 103181, 102639, 33541, 9174, 110898, 17620, 76622, 123410, 118733, 111476, 37271, 9953, 20230, 30591, 19732, 67645, 33121, 120264, 33655, 105262, 32149, 29295, 15120, 30832, 104921, 255, 61994, 38641, 1811, 85707, 62004, 109156, 103468, 35330, 109518, 19732, 112599, 16144, 108618, 109518, 30512, 57106, 103854, 104984, 115515, 103296, 20230, 33655, 100472, 35330, 109518, 16144, 116011, 82420, 32977, 78183, 107277, 33541, 124845, 112686, 52927, 19732, 108010, 30297, 104468, 5486, 59330, 223, 127946, 20230, 102181, 50834, 104526, 109315, 100909, 1811, 33655, 100472, 35330, 109518, 71289, 108618, 109518, 104309, 30512, 21405, 20230, 102181, 102532, 33334, 76622, 81219, 5486, 110898, 125523, 107441, 64121, 103470 ]
[ 111243, 114225, 20230, 78183, 107277, 33541, 9174, 110898, 17620, 76622, 15682, 102456, 106382, 20230, 48249, 121140, 102717, 116421, 106382, 118322, 46729, 82420, 40452, 72661, 114652, 11883, 16995, 102204, 33541, 1811, 122617, 16144, 106382, 30832, 16556, 110898, 30512, 11883, 37689, 126693, 21105, 96, 107277, 40452, 103082, 102131, 119627, 5486, 121771, 115867, 110898, 30512, 40452, 54926, 104468, 109972, 106529, 105352, 26854, 31431, 33541, 9174, 102456, 106382, 103378, 30512, 110898, 17620, 76622, 117657, 16144, 72661, 5486, 114392, 20230, 107792, 103664, 8239, 114503, 15682, 103192, 62004, 33541, 9174, 110898, 30512, 11883, 37689, 54926, 112973, 28190, 105987, 26854, 110018, 102052, 111476, 102456, 106382, 114363, 11883, 16144, 112686, 52927, 109156, 106824, 33334, 119064, 72661, 5486, 112361, 105933, 8239, 114503, 30512, 103192, 62004, 33541, 9174, 58, 111629, 21405, 18, 933, 64780, 116882, 30046, 19967, 13153, 198, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 21, 13, 102456, 106382, 114363, 11883, 16144, 120115, 68759, 102750, 11972, 126694, 30369, 198, 110898, 17620, 76622, 15682, 102321, 35330, 16144, 20834, 124629, 30512, 40452, 54926, 39880, 96452, 77750, 26854, 41007, 119627, 5486, 68408, 76428, 47307, 114615, 119526, 124905, 30297, 123017, 102924, 60632, 38641, 9174, 9080, 119400, 107691, 16995, 53953, 123410, 22398, 113390, 108941, 38248, 109, 67075, 71289, 109713, 91482, 78683, 76739, 107446, 71634, 39880, 29295, 120115, 68759, 102750, 11972, 113115, 106608, 103792, 105110, 111476, 102456, 106382, 114363, 11883, 16144, 120115, 68759, 102750, 11972, 126694, 30369, 41007, 32977, 57903, 33541, 1811, 220, 16, 2845, 113, 9953, 16144, 102456, 106382, 16144, 103911, 70203, 109518, 30512, 9953, 85707, 20230, 109933, 78767, 39926, 5486, 102456, 103234, 30512, 107691, 30297, 110018, 103378, 58426, 120115, 68759, 102750, 11972, 16556, 107691, 16995, 53953, 30512, 78434, 9174, 85707, 62004, 20230, 16, 2845, 113, 9953, 17620, 109933, 78767, 126693, 5486, 107691, 16995, 53953, 123410, 28713, 102802, 20230, 112686, 52927, 71289, 107248, 127946, 55031, 102321, 35330, 30512, 108167, 20834, 30813, 101860, 20230, 17663, 64121, 33541, 1811, 112686, 52927, 71289, 110898, 17620, 76622, 19732, 112361, 104466, 5486, 108618, 45736, 29295, 123733, 104984, 77693, 71689, 107691, 16995, 53953, 118765, 105879, 5486, 91062, 99959, 124955, 16995, 30512, 103181, 102639, 33541, 9174, 120115, 68759, 102750, 115247, 104091, 104770, 113468, 15682, 111476, 107740, 123259, 114172, 16144, 119526, 30512, 111234, 52884, 17905, 16556, 34273, 110, 111182, 103082, 115926, 5486, 119526, 30512, 46729, 82420, 107218, 123, 39880, 115507, 20230, 89046, 120988, 103082, 115926, 78434, 9174, 122013, 29295, 43240, 47884, 5486, 32149, 59739, 45829, 67645, 32977, 29295, 119448, 115737, 31431, 33334, 35330, 124905, 30297, 101200, 101983, 104533, 111476, 46729, 82420, 30512, 40452, 54926, 17792, 116749, 29295, 110898, 17620, 76622, 16144, 110898, 55031, 33334, 35330, 30512, 108167, 121406, 105908, 101182, 32149, 110241, 33121, 107515, 1811, 116499, 59739, 107188, 95604, 43514, 20230, 110898, 107809, 16144, 108618, 45736, 29295, 83747, 123733, 103836, 5486, 9953, 106968, 103296, 102456, 103234, 30512, 114392, 20230, 107691, 30297, 108618, 35330, 29295, 108618, 107462, 100604, 5486, 114016, 30926, 107328, 108176, 32149, 110241, 33121, 107515, 9174, 58426, 105933, 109755, 33121, 107407, 110018, 105352, 111476, 120115, 68759, 102750, 38248, 226, 115507, 99695, 114265, 123218, 30512, 76706, 11883, 125545, 1811, 106369, 35330, 124905, 30297, 122013, 16144, 109577, 9039, 17620, 16144, 123218, 126694, 31431, 5486, 102208, 123218, 20230, 5486, 102208, 37026, 29295, 33655, 114598, 104712, 35330, 109518, 30512, 109933, 78767, 39926, 33334, 47884, 104466, 126693, 5486, 101067, 23187, 71689, 20230, 33655, 78183, 106824, 114732, 64209, 55487, 30512, 103181, 102639, 33541, 1811, 107740, 123259, 114172, 16144, 119526, 30512, 111234, 52884, 17905, 16556, 34273, 110, 111182, 108608, 123218, 105110, 5486, 122013, 16144, 43568, 102147, 226, 124955, 16995, 32977, 116696, 48552, 108608, 32149, 110241, 33121, 107515, 9174, 15120, 34048, 16144, 29220, 44971, 76428, 67075, 123218, 77181, 111476, 122013, 123218, 20230, 120115, 68759, 102750, 11972, 121432, 30512, 47000, 58318, 108608, 102944, 115991, 33541, 113637, 107803, 32977, 5486, 123218, 16144, 22656, 38093, 102351, 15682, 122013, 123218, 16144, 107740, 123259, 114172, 30512, 114140, 108608, 112973, 108936, 9554, 38641, 1811, 80050, 68759, 84477, 108526, 113883, 104662, 111587, 39880, 115507, 32977, 102924, 60632, 38641, 1811, 50, 2507, 16556, 59739, 105722, 103836, 122013, 104309, 107898, 35330, 30512, 37705, 35330, 108608, 102944, 105110, 5486, 103911, 70203, 30512, 122013, 56965, 16556, 17620, 76622, 40862, 30297, 110018, 5486, 124131, 103927, 115303, 59739, 16556, 47406, 102971, 125545, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 22, 13, 46729, 82420, 107218, 123, 116825, 105784, 198, 102456, 42506, 15682, 121410, 117073, 104654, 20230, 124490, 32149, 72342, 107515, 55031, 5486, 102456, 106382, 16144, 107792, 103664, 15682, 120321, 106307, 54926, 105908, 27384, 102769, 38641, 9174, 37271, 9953, 15682, 107792, 103664, 103082, 111243, 5486, 37507, 9953, 20230, 114115, 106382, 39926, 103801, 116285, 46729, 82420, 23226, 106594, 16144, 8239, 114503, 15682, 30591, 109709, 124897, 9174, 108968, 16325, 16556, 30775, 104, 108881, 72342, 101860, 20230, 107792, 103664, 30512, 106307, 105784, 102052, 5486, 46729, 82420, 107218, 123, 116825, 107441, 103350, 104983, 117158, 106382, 56051, 102456, 106382, 30512, 61304, 108565, 39926, 5486, 30832, 105888, 20230, 60358, 109669, 119188, 32149, 5486, 103911, 70203, 30512, 72404, 58942, 126386, 32149, 30512, 114140, 103801, 109954, 9174, 90620, 5486, 102456, 106382, 15682, 104654, 107809, 72661, 66378, 20230, 118430, 118095, 117158, 100481, 47884, 33334, 35330, 38641, 55031, 5486, 46729, 82420, 107218, 123, 116825, 105784, 104468, 127177, 106382, 30832, 20230, 57106, 115694, 46034, 56965, 29295, 32149, 107277, 33541, 1811, 115303, 59739, 115303, 59739, 104398, 107188, 102456, 103234, 16144, 104091, 104770, 104309, 20230, 17620, 107441, 61304, 108565, 54926, 104468, 28190, 105987, 123253, 1811, 107943, 110018, 102052, 111476, 33334, 33334, 17129, 111201, 61304, 108565, 54926, 105879, 32149, 17129, 16995, 107515, 9174, 28713, 19732, 116285, 16, 7705, 102456, 103234, 109198, 17701, 106382, 10110, 107079, 5486, 102212, 108171, 5486, 11239, 113, 5486, 111528, 105107, 25446, 104309, 65459, 17, 7705, 36668, 102456, 9458, 104873, 103868, 42506, 5486, 18, 7705, 48915, 102456, 9458, 15024, 53901, 25446, 16144, 18, 59739, 20230, 78183, 107441, 111476, 77693, 108422, 33121, 16144, 40862, 82420, 35330, 109518, 103378, 30512, 61304, 17701, 54926, 104309, 38641, 9174, 85701, 103378, 72661, 5486, 78183, 29295, 46729, 15682, 48915, 102456, 29295, 43240, 47884, 38144, 102456, 106382, 29295, 32149, 98369, 16556, 107991, 104865, 11571, 220, 125845, 107079, 71289, 115371, 104309, 102456, 103234, 30512, 121771, 98369, 107691, 103836, 104865, 11571, 220, 104309, 5486, 102456, 106382, 16144, 33655, 16995, 24273, 16144, 23706, 244, 29295, 91774, 107290, 50834, 33541, 9174, 58, 111629, 21405, 19, 933, 17905, 61304, 16144, 17620, 104770, 15682, 15120, 27452, 38641, 1811, 17620, 104770, 16144, 67016, 28713, 71289, 9039, 15682, 111764, 20230, 104662, 107436, 32149, 17129, 16995, 107515, 118855, 5486, 46729, 82420, 107218, 123, 30512, 78183, 75694, 78183, 75694, 11883, 37689, 72342, 101860, 20230, 111476, 39850, 102494, 71289, 101335, 84477, 104309, 20230, 102181, 119064, 72661, 32149, 17129, 16995, 107515, 9174, 105994, 29295, 40452, 15024, 126172, 16995, 41007, 16556, 5486, 46729, 82420, 107218, 123, 116825, 107441, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 23, 13, 46729, 82420, 107218, 123, 39880, 115507, 124905, 30297, 198, 77693, 72661, 5486, 46034, 102181, 50834, 16556, 46729, 82420, 107218, 123, 116825, 105784, 104468, 46034, 122756, 112391, 30369, 105908, 101182, 32149, 110241, 33121, 107515, 1811, 110924, 16556, 5486, 17701, 48634, 71289, 122282, 16144, 46034, 56965, 30512, 66870, 105784, 112973, 111476, 80805, 102741, 109713, 71289, 124131, 84477, 108526, 16073, 16556, 126268, 110071, 46729, 82420, 107218, 123, 39880, 115507, 38641, 9174, 124131, 84477, 108526, 113883, 71493, 127194, 121432, 16556, 198, 44971, 57207, 84477, 30512, 125152, 58322, 54926, 121142, 5486, 115681, 16556, 46729, 82420, 107218, 123, 17701, 48634, 108608, 5486, 17701, 48634, 56051, 111831, 30512, 115681, 16556, 43167, 82420, 39926, 124089, 121432, 29295, 59739, 119188, 102944, 115991, 33541, 9174, 29220, 44971, 76428, 67075, 123218, 71289, 120115, 68759, 102750, 11972, 5486, 124131, 84477, 108526, 16073, 104662, 111587, 113245, 107691, 16995, 53953, 15682, 115681, 112535, 119526, 30512, 108167, 104526, 104127, 46729, 82420, 107218, 123, 17905, 20230, 52563, 39926, 124089, 102944, 71289, 5486, 122270, 5486, 83687, 30512, 111134, 52591, 33208, 39926, 78183, 107277, 126172, 47884, 52563, 108608, 102944, 32977, 57903, 33541, 9174, 61826, 9953, 19732, 57106, 115694, 37271, 9953, 16144, 102456, 106382, 15682, 33655, 16995, 120195, 111769, 32149, 5486, 89408, 15682, 86436, 8107, 19732, 57106, 115694, 102456, 106382, 30512, 107792, 103664, 103082, 28713, 32149, 104309, 5486, 107792, 103664, 16144, 113702, 30512, 106596, 54926, 16144, 105352, 102924, 60632, 38641, 9174, 567, 125389, 106382, 116749, 30512, 107792, 103664, 54926, 102677, 121507, 57942, 95, 32977, 39880, 37823, 106609, 110382, 103296, 16995, 85791, 16995, 85791, 26854, 102456, 106382, 16144, 107792, 103664, 41007, 30512, 122984, 121256, 29295, 116898, 101860, 33121, 16144, 41007, 72661, 5486, 104654, 54926, 48249, 31431, 101860, 104043, 106307, 47884, 102456, 106382, 30512, 198, 107792, 103664, 54926, 102052, 5486, 43568, 22649, 30512, 21105, 103, 16995, 105908, 19732, 111243, 27384, 102769, 38641, 9174, 53900, 5486, 121410, 117073, 104654, 20230, 124490, 32149, 72342, 100604, 102944, 38641, 55031, 5486, 112672, 106272, 108270, 42634, 117657, 109335, 16937, 88367, 38641, 1811, 67645, 103171, 20230, 29295, 25827, 81219, 114598, 85701, 71689, 15682, 17297, 102639, 102204, 100604, 53610, 107253, 115991, 33541, 55031, 111476, 16995, 112495, 31431, 27384, 111044, 20230, 71493, 67075, 54926, 109335, 30832, 64467, 30813, 103470, 38144, 32149, 17129, 16995, 107515, 9174, 17663, 16556, 20230, 16995, 85791, 16995, 85791, 26854, 107792, 103664, 41007, 30512, 103350, 124299, 56051, 116537, 115847, 71689, 15682, 102456, 106382, 30512, 107792, 103664, 54926, 112973, 43568, 22649, 26854, 126465, 115991, 33541, 1811, 102456, 106382, 126194, 5486, 44971, 106901, 11972, 106382, 71289, 118597, 106382, 5486, 33563, 117126, 42506, 104309, 103283, 16144, 106382, 118146, 107792, 103664, 54926, 24273, 29295, 126120, 96455, 9554, 5486, 46729, 82420, 37087, 33014, 16144, 23226, 106594, 20230, 8239, 114503, 109904, 126465, 32977, 57903, 33541, 9174, 104774, 25197, 96452, 16073, 123618, 9458, 57326, 93488, 118567, 10110, 11960, 119735, 5486, 46729, 82420, 37087, 33014, 30512, 120761, 64889, 21105, 103, 29295, 33503, 5486, 102456, 106382, 30512, 67645, 33121, 120264, 107792, 103664, 108608, 32149, 5486, 118789, 112535, 102456, 106382, 30512, 67645, 119775, 107792, 103664, 126693, 57980, 118544, 5486, 50021, 111813, 20230, 16144, 30369, 105908, 125545, 9174, 64780, 22656, 122481, 20230, 61304, 107121, 110731, 108134, 15682, 2366, 16, 8107, 17, 9953, 717, 9080, 39177, 28542, 16144, 102944, 38641, 198, 11144, 121846, 124055, 112479, 47774, 110022, 102781, 66870, 13177, 679, 24, 8107, 46729, 82420, 104873, 112984, 101377, 78943, 104465, 17792, 71689, 16144, 101083, 115351, 10110, 114731, 8239, 112, 30046, 101083, 115351, 7705, 111329, 21601, 105635, 116209, 101, 70349, 10110, 32149, 78699, 18049, 232, 31431, 7705, 128001, 128000, 567, 107023, 111, 29295, 25827, 16144, 103991, 29430, 109853, 198, 111528, 29295, 25827, 16144, 71005, 109519, 15682, 5486, 46034, 103991, 5486, 117434, 53953, 71005, 109519, 5486, 54322, 105644, 101911, 71005, 109519, 30512, 5486, 29295, 25827, 16144, 117809, 5486, 116748, 27479, 104309, 20230, 106608, 100204, 38144, 23039, 107462, 50834, 33541, 1811, 46034, 103991, 15682, 119869, 16144, 102404, 21990, 116245, 103195, 111528, 102064, 19732, 5486, 112361, 110366, 16144, 101921, 233, 91739, 102, 10110, 78183, 50834, 16144, 56051, 7705, 30512, 46034, 103991, 78434, 1811, 111528, 102064, 113115, 54926, 46034, 103991, 41007, 103306, 5486, 111528, 102064, 104840, 25359, 46034, 103991, 19732, 111528, 102064, 102769, 21418, 103991, 10110, 16995, 78183, 106644, 30369, 37087, 112419, 7705, 19732, 119448, 47884, 17, 59739, 20230, 17620, 32149, 33121, 33541, 1811, 107188, 31431, 117382, 15682, 111528, 102064, 121142, 103470, 111528, 102064, 16144, 105665, 117083, 27384, 111140, 119049, 71289, 31809, 111140, 119049, 103296, 16995, 42891, 124304, 20230, 102769, 21418, 109768, 79721, 29295, 5486, 112599, 77181, 111528, 102064, 102769, 21418, 103991, 102083, 116285, 102717, 19732, 124592, 29295, 27384, 111140, 119049, 32977, 31809, 111140, 119049, 32977, 104840, 25359, 54926, 111140, 119049, 104840, 25359, 111528, 102064, 102769, 21418, 103991, 38641, 1811, 111528, 102064, 104840, 25359, 46034, 103991, 15682, 29295, 25827, 55031, 114715, 124349, 30512, 19732, 76947, 5486, 29295, 25827, 29295, 124721, 21105, 103, 16995, 104466, 111528, 102064, 30512, 105494, 112535, 102769, 21418, 54926, 103991, 29430, 16556, 5486, 111528, 102064, 104840, 25359, 46034, 103991, 20230, 108618, 56051, 111528, 102064, 111363, 54322, 105644, 101911, 71005, 109519, 30512, 116155, 54926, 100909, 113468, 111528, 102064, 102769, 21418, 103991, 19732, 42016, 50667, 16144, 71005, 109519, 13153, 116486, 29295, 50928, 110071, 105908, 78183, 107277, 5486, 21105, 254, 119178, 108285, 109709, 112599, 77181, 111528, 102064, 104840, 25359, 46034, 103991, 120332, 29295, 43240, 115737, 76947, 61689, 9174, 40265, 94923, 72661, 46034, 103991, 41007, 114556, 39926, 15682, 5486, 126843, 68759, 100560, 95, 111134, 106384, 5486, 72404, 79785, 103682, 111800, 112984, 5486, 80539, 88367, 26854, 48249, 31431, 79770, 111800, 112984, 103296, 23039, 16995, 103991, 29430, 109853, 111800, 118219, 78434, 1811, 21105, 241, 31431, 29295, 119448, 16995, 107803, 71289, 5486, 21105, 241, 31431, 15682, 109835, 33121, 103470, 111243, 108285, 16995, 119318, 116310, 20230, 29295, 25827, 29295, 48706, 103792, 105933, 117809, 104309, 15682, 111528, 102064, 104840, 25359, 46034, 103991, 15682, 109431, 106608, 115717, 107515, 118855, 32977, 107173, 110792, 111528, 102064, 16144, 119448, 30813, 19732, 5486, 29295, 25827, 16144, 103082, 28713, 116245, 71289, 102769, 21418, 54926, 119318, 116310, 110792, 66953, 119930, 16556, 5486, 50834 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 111243, 114225, 20230, 78183, 107277, 33541, 9174, 110898, 17620, 76622, 15682, 102456, 106382, 20230, 48249, 121140, 102717, 116421, 106382, 118322, 46729, 82420, 40452, 72661, 114652, 11883, 16995, 102204, 33541, 1811, 122617, 16144, 106382, 30832, 16556, 110898, 30512, 11883, 37689, 126693, 21105, 96, 107277, 40452, 103082, 102131, 119627, 5486, 121771, 115867, 110898, 30512, 40452, 54926, 104468, 109972, 106529, 105352, 26854, 31431, 33541, 9174, 102456, 106382, 103378, 30512, 110898, 17620, 76622, 117657, 16144, 72661, 5486, 114392, 20230, 107792, 103664, 8239, 114503, 15682, 103192, 62004, 33541, 9174, 110898, 30512, 11883, 37689, 54926, 112973, 28190, 105987, 26854, 110018, 102052, 111476, 102456, 106382, 114363, 11883, 16144, 112686, 52927, 109156, 106824, 33334, 119064, 72661, 5486, 112361, 105933, 8239, 114503, 30512, 103192, 62004, 33541, 9174, 58, 111629, 21405, 18, 933, 64780, 116882, 30046, 19967, 13153, 198, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 21, 13, 102456, 106382, 114363, 11883, 16144, 120115, 68759, 102750, 11972, 126694, 30369, 198, 110898, 17620, 76622, 15682, 102321, 35330, 16144, 20834, 124629, 30512, 40452, 54926, 39880, 96452, 77750, 26854, 41007, 119627, 5486, 68408, 76428, 47307, 114615, 119526, 124905, 30297, 123017, 102924, 60632, 38641, 9174, 9080, 119400, 107691, 16995, 53953, 123410, 22398, 113390, 108941, 38248, 109, 67075, 71289, 109713, 91482, 78683, 76739, 107446, 71634, 39880, 29295, 120115, 68759, 102750, 11972, 113115, 106608, 103792, 105110, 111476, 102456, 106382, 114363, 11883, 16144, 120115, 68759, 102750, 11972, 126694, 30369, 41007, 32977, 57903, 33541, 1811, 220, 16, 2845, 113, 9953, 16144, 102456, 106382, 16144, 103911, 70203, 109518, 30512, 9953, 85707, 20230, 109933, 78767, 39926, 5486, 102456, 103234, 30512, 107691, 30297, 110018, 103378, 58426, 120115, 68759, 102750, 11972, 16556, 107691, 16995, 53953, 30512, 78434, 9174, 85707, 62004, 20230, 16, 2845, 113, 9953, 17620, 109933, 78767, 126693, 5486, 107691, 16995, 53953, 123410, 28713, 102802, 20230, 112686, 52927, 71289, 107248, 127946, 55031, 102321, 35330, 30512, 108167, 20834, 30813, 101860, 20230, 17663, 64121, 33541, 1811, 112686, 52927, 71289, 110898, 17620, 76622, 19732, 112361, 104466, 5486, 108618, 45736, 29295, 123733, 104984, 77693, 71689, 107691, 16995, 53953, 118765, 105879, 5486, 91062, 99959, 124955, 16995, 30512, 103181, 102639, 33541, 9174, 120115, 68759, 102750, 115247, 104091, 104770, 113468, 15682, 111476, 107740, 123259, 114172, 16144, 119526, 30512, 111234, 52884, 17905, 16556, 34273, 110, 111182, 103082, 115926, 5486, 119526, 30512, 46729, 82420, 107218, 123, 39880, 115507, 20230, 89046, 120988, 103082, 115926, 78434, 9174, 122013, 29295, 43240, 47884, 5486, 32149, 59739, 45829, 67645, 32977, 29295, 119448, 115737, 31431, 33334, 35330, 124905, 30297, 101200, 101983, 104533, 111476, 46729, 82420, 30512, 40452, 54926, 17792, 116749, 29295, 110898, 17620, 76622, 16144, 110898, 55031, 33334, 35330, 30512, 108167, 121406, 105908, 101182, 32149, 110241, 33121, 107515, 1811, 116499, 59739, 107188, 95604, 43514, 20230, 110898, 107809, 16144, 108618, 45736, 29295, 83747, 123733, 103836, 5486, 9953, 106968, 103296, 102456, 103234, 30512, 114392, 20230, 107691, 30297, 108618, 35330, 29295, 108618, 107462, 100604, 5486, 114016, 30926, 107328, 108176, 32149, 110241, 33121, 107515, 9174, 58426, 105933, 109755, 33121, 107407, 110018, 105352, 111476, 120115, 68759, 102750, 38248, 226, 115507, 99695, 114265, 123218, 30512, 76706, 11883, 125545, 1811, 106369, 35330, 124905, 30297, 122013, 16144, 109577, 9039, 17620, 16144, 123218, 126694, 31431, 5486, 102208, 123218, 20230, 5486, 102208, 37026, 29295, 33655, 114598, 104712, 35330, 109518, 30512, 109933, 78767, 39926, 33334, 47884, 104466, 126693, 5486, 101067, 23187, 71689, 20230, 33655, 78183, 106824, 114732, 64209, 55487, 30512, 103181, 102639, 33541, 1811, 107740, 123259, 114172, 16144, 119526, 30512, 111234, 52884, 17905, 16556, 34273, 110, 111182, 108608, 123218, 105110, 5486, 122013, 16144, 43568, 102147, 226, 124955, 16995, 32977, 116696, 48552, 108608, 32149, 110241, 33121, 107515, 9174, 15120, 34048, 16144, 29220, 44971, 76428, 67075, 123218, 77181, 111476, 122013, 123218, 20230, 120115, 68759, 102750, 11972, 121432, 30512, 47000, 58318, 108608, 102944, 115991, 33541, 113637, 107803, 32977, 5486, 123218, 16144, 22656, 38093, 102351, 15682, 122013, 123218, 16144, 107740, 123259, 114172, 30512, 114140, 108608, 112973, 108936, 9554, 38641, 1811, 80050, 68759, 84477, 108526, 113883, 104662, 111587, 39880, 115507, 32977, 102924, 60632, 38641, 1811, 50, 2507, 16556, 59739, 105722, 103836, 122013, 104309, 107898, 35330, 30512, 37705, 35330, 108608, 102944, 105110, 5486, 103911, 70203, 30512, 122013, 56965, 16556, 17620, 76622, 40862, 30297, 110018, 5486, 124131, 103927, 115303, 59739, 16556, 47406, 102971, 125545, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 22, 13, 46729, 82420, 107218, 123, 116825, 105784, 198, 102456, 42506, 15682, 121410, 117073, 104654, 20230, 124490, 32149, 72342, 107515, 55031, 5486, 102456, 106382, 16144, 107792, 103664, 15682, 120321, 106307, 54926, 105908, 27384, 102769, 38641, 9174, 37271, 9953, 15682, 107792, 103664, 103082, 111243, 5486, 37507, 9953, 20230, 114115, 106382, 39926, 103801, 116285, 46729, 82420, 23226, 106594, 16144, 8239, 114503, 15682, 30591, 109709, 124897, 9174, 108968, 16325, 16556, 30775, 104, 108881, 72342, 101860, 20230, 107792, 103664, 30512, 106307, 105784, 102052, 5486, 46729, 82420, 107218, 123, 116825, 107441, 103350, 104983, 117158, 106382, 56051, 102456, 106382, 30512, 61304, 108565, 39926, 5486, 30832, 105888, 20230, 60358, 109669, 119188, 32149, 5486, 103911, 70203, 30512, 72404, 58942, 126386, 32149, 30512, 114140, 103801, 109954, 9174, 90620, 5486, 102456, 106382, 15682, 104654, 107809, 72661, 66378, 20230, 118430, 118095, 117158, 100481, 47884, 33334, 35330, 38641, 55031, 5486, 46729, 82420, 107218, 123, 116825, 105784, 104468, 127177, 106382, 30832, 20230, 57106, 115694, 46034, 56965, 29295, 32149, 107277, 33541, 1811, 115303, 59739, 115303, 59739, 104398, 107188, 102456, 103234, 16144, 104091, 104770, 104309, 20230, 17620, 107441, 61304, 108565, 54926, 104468, 28190, 105987, 123253, 1811, 107943, 110018, 102052, 111476, 33334, 33334, 17129, 111201, 61304, 108565, 54926, 105879, 32149, 17129, 16995, 107515, 9174, 28713, 19732, 116285, 16, 7705, 102456, 103234, 109198, 17701, 106382, 10110, 107079, 5486, 102212, 108171, 5486, 11239, 113, 5486, 111528, 105107, 25446, 104309, 65459, 17, 7705, 36668, 102456, 9458, 104873, 103868, 42506, 5486, 18, 7705, 48915, 102456, 9458, 15024, 53901, 25446, 16144, 18, 59739, 20230, 78183, 107441, 111476, 77693, 108422, 33121, 16144, 40862, 82420, 35330, 109518, 103378, 30512, 61304, 17701, 54926, 104309, 38641, 9174, 85701, 103378, 72661, 5486, 78183, 29295, 46729, 15682, 48915, 102456, 29295, 43240, 47884, 38144, 102456, 106382, 29295, 32149, 98369, 16556, 107991, 104865, 11571, 220, 125845, 107079, 71289, 115371, 104309, 102456, 103234, 30512, 121771, 98369, 107691, 103836, 104865, 11571, 220, 104309, 5486, 102456, 106382, 16144, 33655, 16995, 24273, 16144, 23706, 244, 29295, 91774, 107290, 50834, 33541, 9174, 58, 111629, 21405, 19, 933, 17905, 61304, 16144, 17620, 104770, 15682, 15120, 27452, 38641, 1811, 17620, 104770, 16144, 67016, 28713, 71289, 9039, 15682, 111764, 20230, 104662, 107436, 32149, 17129, 16995, 107515, 118855, 5486, 46729, 82420, 107218, 123, 30512, 78183, 75694, 78183, 75694, 11883, 37689, 72342, 101860, 20230, 111476, 39850, 102494, 71289, 101335, 84477, 104309, 20230, 102181, 119064, 72661, 32149, 17129, 16995, 107515, 9174, 105994, 29295, 40452, 15024, 126172, 16995, 41007, 16556, 5486, 46729, 82420, 107218, 123, 116825, 107441, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 14711, 125389, 106382, 16144, 107792, 103664, 103991, 23, 13, 46729, 82420, 107218, 123, 39880, 115507, 124905, 30297, 198, 77693, 72661, 5486, 46034, 102181, 50834, 16556, 46729, 82420, 107218, 123, 116825, 105784, 104468, 46034, 122756, 112391, 30369, 105908, 101182, 32149, 110241, 33121, 107515, 1811, 110924, 16556, 5486, 17701, 48634, 71289, 122282, 16144, 46034, 56965, 30512, 66870, 105784, 112973, 111476, 80805, 102741, 109713, 71289, 124131, 84477, 108526, 16073, 16556, 126268, 110071, 46729, 82420, 107218, 123, 39880, 115507, 38641, 9174, 124131, 84477, 108526, 113883, 71493, 127194, 121432, 16556, 198, 44971, 57207, 84477, 30512, 125152, 58322, 54926, 121142, 5486, 115681, 16556, 46729, 82420, 107218, 123, 17701, 48634, 108608, 5486, 17701, 48634, 56051, 111831, 30512, 115681, 16556, 43167, 82420, 39926, 124089, 121432, 29295, 59739, 119188, 102944, 115991, 33541, 9174, 29220, 44971, 76428, 67075, 123218, 71289, 120115, 68759, 102750, 11972, 5486, 124131, 84477, 108526, 16073, 104662, 111587, 113245, 107691, 16995, 53953, 15682, 115681, 112535, 119526, 30512, 108167, 104526, 104127, 46729, 82420, 107218, 123, 17905, 20230, 52563, 39926, 124089, 102944, 71289, 5486, 122270, 5486, 83687, 30512, 111134, 52591, 33208, 39926, 78183, 107277, 126172, 47884, 52563, 108608, 102944, 32977, 57903, 33541, 9174, 61826, 9953, 19732, 57106, 115694, 37271, 9953, 16144, 102456, 106382, 15682, 33655, 16995, 120195, 111769, 32149, 5486, 89408, 15682, 86436, 8107, 19732, 57106, 115694, 102456, 106382, 30512, 107792, 103664, 103082, 28713, 32149, 104309, 5486, 107792, 103664, 16144, 113702, 30512, 106596, 54926, 16144, 105352, 102924, 60632, 38641, 9174, 567, 125389, 106382, 116749, 30512, 107792, 103664, 54926, 102677, 121507, 57942, 95, 32977, 39880, 37823, 106609, 110382, 103296, 16995, 85791, 16995, 85791, 26854, 102456, 106382, 16144, 107792, 103664, 41007, 30512, 122984, 121256, 29295, 116898, 101860, 33121, 16144, 41007, 72661, 5486, 104654, 54926, 48249, 31431, 101860, 104043, 106307, 47884, 102456, 106382, 30512, 198, 107792, 103664, 54926, 102052, 5486, 43568, 22649, 30512, 21105, 103, 16995, 105908, 19732, 111243, 27384, 102769, 38641, 9174, 53900, 5486, 121410, 117073, 104654, 20230, 124490, 32149, 72342, 100604, 102944, 38641, 55031, 5486, 112672, 106272, 108270, 42634, 117657, 109335, 16937, 88367, 38641, 1811, 67645, 103171, 20230, 29295, 25827, 81219, 114598, 85701, 71689, 15682, 17297, 102639, 102204, 100604, 53610, 107253, 115991, 33541, 55031, 111476, 16995, 112495, 31431, 27384, 111044, 20230, 71493, 67075, 54926, 109335, 30832, 64467, 30813, 103470, 38144, 32149, 17129, 16995, 107515, 9174, 17663, 16556, 20230, 16995, 85791, 16995, 85791, 26854, 107792, 103664, 41007, 30512, 103350, 124299, 56051, 116537, 115847, 71689, 15682, 102456, 106382, 30512, 107792, 103664, 54926, 112973, 43568, 22649, 26854, 126465, 115991, 33541, 1811, 102456, 106382, 126194, 5486, 44971, 106901, 11972, 106382, 71289, 118597, 106382, 5486, 33563, 117126, 42506, 104309, 103283, 16144, 106382, 118146, 107792, 103664, 54926, 24273, 29295, 126120, 96455, 9554, 5486, 46729, 82420, 37087, 33014, 16144, 23226, 106594, 20230, 8239, 114503, 109904, 126465, 32977, 57903, 33541, 9174, 104774, 25197, 96452, 16073, 123618, 9458, 57326, 93488, 118567, 10110, 11960, 119735, 5486, 46729, 82420, 37087, 33014, 30512, 120761, 64889, 21105, 103, 29295, 33503, 5486, 102456, 106382, 30512, 67645, 33121, 120264, 107792, 103664, 108608, 32149, 5486, 118789, 112535, 102456, 106382, 30512, 67645, 119775, 107792, 103664, 126693, 57980, 118544, 5486, 50021, 111813, 20230, 16144, 30369, 105908, 125545, 9174, 64780, 22656, 122481, 20230, 61304, 107121, 110731, 108134, 15682, 2366, 16, 8107, 17, 9953, 717, 9080, 39177, 28542, 16144, 102944, 38641, 198, 11144, 121846, 124055, 112479, 47774, 110022, 102781, 66870, 13177, 679, 24, 8107, 46729, 82420, 104873, 112984, 101377, 78943, 104465, 17792, 71689, 16144, 101083, 115351, 10110, 114731, 8239, 112, 30046, 101083, 115351, 7705, 111329, 21601, 105635, 116209, 101, 70349, 10110, 32149, 78699, 18049, 232, 31431, 7705, 128001, 128000, 567, 107023, 111, 29295, 25827, 16144, 103991, 29430, 109853, 198, 111528, 29295, 25827, 16144, 71005, 109519, 15682, 5486, 46034, 103991, 5486, 117434, 53953, 71005, 109519, 5486, 54322, 105644, 101911, 71005, 109519, 30512, 5486, 29295, 25827, 16144, 117809, 5486, 116748, 27479, 104309, 20230, 106608, 100204, 38144, 23039, 107462, 50834, 33541, 1811, 46034, 103991, 15682, 119869, 16144, 102404, 21990, 116245, 103195, 111528, 102064, 19732, 5486, 112361, 110366, 16144, 101921, 233, 91739, 102, 10110, 78183, 50834, 16144, 56051, 7705, 30512, 46034, 103991, 78434, 1811, 111528, 102064, 113115, 54926, 46034, 103991, 41007, 103306, 5486, 111528, 102064, 104840, 25359, 46034, 103991, 19732, 111528, 102064, 102769, 21418, 103991, 10110, 16995, 78183, 106644, 30369, 37087, 112419, 7705, 19732, 119448, 47884, 17, 59739, 20230, 17620, 32149, 33121, 33541, 1811, 107188, 31431, 117382, 15682, 111528, 102064, 121142, 103470, 111528, 102064, 16144, 105665, 117083, 27384, 111140, 119049, 71289, 31809, 111140, 119049, 103296, 16995, 42891, 124304, 20230, 102769, 21418, 109768, 79721, 29295, 5486, 112599, 77181, 111528, 102064, 102769, 21418, 103991, 102083, 116285, 102717, 19732, 124592, 29295, 27384, 111140, 119049, 32977, 31809, 111140, 119049, 32977, 104840, 25359, 54926, 111140, 119049, 104840, 25359, 111528, 102064, 102769, 21418, 103991, 38641, 1811, 111528, 102064, 104840, 25359, 46034, 103991, 15682, 29295, 25827, 55031, 114715, 124349, 30512, 19732, 76947, 5486, 29295, 25827, 29295, 124721, 21105, 103, 16995, 104466, 111528, 102064, 30512, 105494, 112535, 102769, 21418, 54926, 103991, 29430, 16556, 5486, 111528, 102064, 104840, 25359, 46034, 103991, 20230, 108618, 56051, 111528, 102064, 111363, 54322, 105644, 101911, 71005, 109519, 30512, 116155, 54926, 100909, 113468, 111528, 102064, 102769, 21418, 103991, 19732, 42016, 50667, 16144, 71005, 109519, 13153, 116486, 29295, 50928, 110071, 105908, 78183, 107277, 5486, 21105, 254, 119178, 108285, 109709, 112599, 77181, 111528, 102064, 104840, 25359, 46034, 103991, 120332, 29295, 43240, 115737, 76947, 61689, 9174, 40265, 94923, 72661, 46034, 103991, 41007, 114556, 39926, 15682, 5486, 126843, 68759, 100560, 95, 111134, 106384, 5486, 72404, 79785, 103682, 111800, 112984, 5486, 80539, 88367, 26854, 48249, 31431, 79770, 111800, 112984, 103296, 23039, 16995, 103991, 29430, 109853, 111800, 118219, 78434, 1811, 21105, 241, 31431, 29295, 119448, 16995, 107803, 71289, 5486, 21105, 241, 31431, 15682, 109835, 33121, 103470, 111243, 108285, 16995, 119318, 116310, 20230, 29295, 25827, 29295, 48706, 103792, 105933, 117809, 104309, 15682, 111528, 102064, 104840, 25359, 46034, 103991, 15682, 109431, 106608, 115717, 107515, 118855, 32977, 107173, 110792, 111528, 102064, 16144, 119448, 30813, 19732, 5486, 29295, 25827, 16144, 103082, 28713, 116245, 71289, 102769, 21418, 54926, 119318, 116310, 110792, 66953, 119930, 16556, 5486, 50834 ]
[ 33121, 119178, 111528, 102064, 29295, 108618, 72342, 102131, 20230, 100604, 107803, 32977, 111528, 102064, 104840, 25359, 46034, 103991, 15682, 53508, 100, 62004, 102204, 107515, 118855, 111528, 102064, 104840, 25359, 46034, 103991, 117824, 100472, 126513, 53229, 108630, 103306, 104840, 25359, 111528, 102064, 111363, 54322, 105644, 101911, 71005, 109519, 117824, 30297, 101200, 115717, 33541, 29295, 5486, 103826, 104680, 26854, 113385, 16556, 54322, 105644, 101911, 71005, 109519, 117824, 30297, 105908, 110482, 111108, 26854, 107803, 32977, 111528, 102064, 104840, 25359, 46034, 103991, 15682, 53508, 100, 62004, 102204, 107515, 9174, 77693, 77181, 5486, 29295, 25827, 29295, 108008, 20230, 31809, 30813, 47884, 101462, 255, 16995, 119318, 116310, 20230, 48249, 91077, 39926, 102532, 5486, 54322, 105644, 101911, 71005, 109519, 117824, 30297, 115789, 88367, 16556, 123213, 114754, 111528, 102064, 104840, 25359, 46034, 103991, 30512, 110526, 126693, 37087, 38144, 111528, 102064, 104840, 25359, 46034, 103991, 16556, 109606, 100604, 123253, 32149, 11571, 118899, 77181, 58426, 111694, 112919, 32977, 59739, 111528, 29295, 25827, 16144, 112997, 29220, 32977, 78698, 107290, 103991, 29430, 30512, 122074, 78434, 1811, 114715, 112772, 101182, 19361, 13372, 26854, 58850, 104622, 29295, 103911, 103181, 112535, 111528, 102064, 102769, 21418, 19732, 111528, 102064, 88356, 26892, 46034, 103991, 117824, 100472, 105908, 87177, 104482, 115717, 79721, 1811, 122013, 32943, 20230, 111528, 29295, 25827, 71289, 11239, 113, 17597, 96, 29295, 25827, 29295, 43240, 47884, 102404, 21990, 103792, 104309, 5486, 111528, 29295, 25827, 108176, 112997, 29220, 29295, 32977, 107173, 19732, 126574, 19732, 113727, 110071, 17792, 77181, 112160, 27479, 111528, 29295, 25827, 115717, 5486, 71005, 109519, 117824, 16995, 58426, 29295, 25827, 29295, 47406, 71005, 120837, 5486, 66378, 20230, 105268, 8107, 30046, 77181, 58426, 123470, 21990, 96311, 107, 16144, 117591, 20230, 88356, 27479, 103283, 16144, 111528, 29295, 25827, 29295, 17039, 106045, 20230, 102404, 21990, 54926, 112997, 29220, 30512, 78698, 105262, 109215, 115991, 33541, 109900, 15682, 95543, 103359, 110366, 16144, 111528, 102064, 115287, 31431, 5486, 111528, 102064, 104840, 25359, 46034, 103991, 117824, 100472, 126513, 58426, 104840, 25359, 111528, 102064, 115287, 31431, 78434, 1811, 38641, 55031, 111528, 102064, 104840, 25359, 46034, 103991, 16144, 57980, 16995, 109431, 106608, 127303, 114598, 108149, 107290, 111528, 102064, 102769, 21418, 103991, 117824, 30297, 115789, 113727, 33541, 9174, 51330, 104466, 117382, 126036, 127762, 30358, 20230, 103991, 29430, 30512, 111800, 118219, 54926, 101200, 110276, 100909, 19732, 5486, 57207, 37823, 109713, 76171, 125540, 52414, 30512, 11883, 102334, 111528, 102064, 88356, 26892, 46034, 103991, 29295, 33563, 117126, 109431, 106608, 110276, 115789, 30358, 26854, 76947, 5486, 110382, 118899, 77181, 111528, 102064, 104840, 25359, 46034, 103991, 16144, 111017, 40862, 29295, 117382, 105755, 15682, 114715, 114485, 83747, 109768, 104533, 16144, 120270, 32977, 57903, 33541, 1811, 128001, 128000, 114387, 101067, 16995, 30512, 32977, 100472, 109335, 124897, 32149, 95532, 863, 119883, 102532, 91774, 105262, 17792, 863, 112031, 19524, 119883, 102532, 91774, 119841, 17792, 89874, 30591, 112568, 15682, 67645, 112384, 123253, 32149, 95532, 58426, 31634, 63212, 29295, 26854, 103171, 104865, 15682, 104398, 32149, 47884, 78244, 119841, 5486, 105321, 19732, 103470, 112391, 30369, 102189, 106046, 61689, 9174, 119883, 102532, 91774, 105262, 17792, 5486, 63091, 22023, 29295, 64121, 26854, 105557, 103836, 17792, 30512, 47453, 101, 17129, 102800, 19732, 112391, 28713, 109335, 112832, 72661, 57903, 33541, 9174, 58426, 95543, 103359, 20230, 61689, 123794, 16449, 5486, 16995, 78183, 106644, 30369, 198, 13177, 80805, 26269, 19732, 21105, 103, 16995, 107461, 20251, 111329, 107943, 126101, 198, 13177, 26854, 104127, 105994, 15682, 119883, 50834, 29295, 43568, 16995, 104865, 26854, 108861, 16449, 111329, 114016, 103001, 228, 102532, 64121, 111243, 106548, 24273, 124897, 9174, 119883, 119188, 17792, 19732, 102131, 16556, 100604, 17792, 110792, 121953, 15682, 26854, 104127, 109954, 32149, 95532, 103350, 15682, 5486, 102717, 25827, 16144, 863, 120065, 56051, 121953, 863, 16556, 67016, 100604, 16144, 38641, 9174, 58426, 121953, 107118, 31195, 111476, 863, 115364, 103188, 86436, 30512, 57326, 112718, 20230, 15017, 231, 58942, 100934, 32149, 104405, 32149, 82364, 198, 126529, 38641, 9174, 14711, 113170, 112568, 16144, 103188, 86436, 16144, 106613, 111186, 16144, 101682, 76622, 82533, 62004, 24273, 20230, 109606, 39880, 37823, 106609, 112832, 72661, 5486, 113261, 16995, 107404, 55031, 105994, 29295, 105564, 102532, 105898, 17792, 21990, 76947, 57903, 33541, 9174, 105104, 31431, 104196, 76947, 64121, 104533, 5486, 105465, 102800, 106613, 111186, 32977, 30591, 104984, 59739, 33503, 102518, 106613, 111186, 5486, 17792, 20230, 78244, 119841, 105933, 101128, 102, 64121, 31195, 118969, 75694, 17129, 101182, 100909, 19732, 123253, 9174, 102131, 31195, 198, 112832, 20230, 72661, 58426, 17792, 26854, 111331, 103188, 86436, 107407, 97718, 38641, 9174, 77181, 111476, 58426, 103188, 86436, 16144, 106613, 111186, 29295, 116898, 17129, 112599, 16144, 30591, 112568, 20230, 104405, 117375, 103792, 123253, 32149, 95532, 105465, 67016, 100472, 31431, 5486, 19653, 56051, 106613, 111186, 15682, 57326, 112718, 20230, 122502, 119188, 118733, 109954, 9174, 58426, 95543, 103359, 20230, 111476, 59739, 33503, 102518, 5486, 107202, 67016, 100472, 5486, 116292, 67016, 100472, 106613, 111186, 15682, 104405, 123253, 32149, 95532, 107943, 106613, 111186, 15682, 108149, 112568, 125030, 76947, 127359, 25197, 96452, 22398, 20230, 122502, 16995, 126386, 123253, 32149, 95532, 27452, 116285, 114387, 112391, 20230, 31195, 9174, 9458, 106759, 20230, 16906, 111, 106624, 101662, 38144, 109115, 72342, 117201, 5486, 109163, 16995, 34171, 35083, 110276, 16449, 198, 9458, 104328, 67645, 16995, 21388, 111943, 126198, 28713, 72342, 117201, 5486, 89151, 119063, 20230, 17792, 30512, 120111, 101983, 33121, 123733, 100472, 31195, 198, 9458, 81258, 107430, 30320, 115, 103232, 23538, 42891, 103351, 72342, 117201, 5486, 85791, 115737, 117876, 107294, 76622, 126386, 16449, 16449, 198, 9458, 46729, 29295, 80631, 100, 18259, 237, 103351, 72342, 117201, 5486, 11239, 239, 23602, 230, 26854, 34171, 35083, 110276, 16449, 16449, 198, 118544, 29295, 112130, 95532, 40265, 38144, 15682, 17129, 33503, 103470, 111243, 115847, 19732, 104409, 28713, 105933, 863, 101067, 16995, 863, 30512, 5486, 64209, 16144, 116414, 32149, 69978, 106358, 31431, 21105, 103, 117201, 109954, 32149, 95532, 17905, 16144, 27452, 77181, 5486, 93488, 99959, 91062, 20230, 102181, 50834, 79721, 29295, 5486, 55999, 33035, 103792, 28542, 29295, 15120, 59739, 57903, 33541, 9174, 122582, 111476, 115412, 115412, 16144, 72342, 117201, 5486, 31195, 198, 102677, 113727, 24273, 38641, 9174, 45631, 10110, 105994, 126194, 7705, 41642, 111331, 117501, 16144, 72342, 117201, 31195, 108895, 26854, 100472, 111329, 102677, 125456, 41007, 16556, 113727, 125398, 16144, 38641, 9174, 85701, 15682, 111476, 16937, 106515, 26854, 122768, 35417, 16144, 53953, 102158, 38641, 9174, 102131, 108149, 112568, 15682, 198, 863, 116292, 108740, 16144, 107461, 118517, 11972, 863, 126529, 38641, 9174, 51330, 105933, 113727, 24273, 29295, 109606, 26854, 104468, 5486, 101860, 11972, 104043, 101544, 116033, 78183, 28713, 76947, 113801, 101860, 30369, 100909, 38641, 9174, 51330, 105933, 125456, 41007, 114792, 107462, 104533, 71289, 42891, 121867, 38641, 9174, 85701, 55031, 61826, 32977, 108149, 112568, 16144, 41642, 31431, 102052, 16937, 106515, 26854, 106084, 30926, 15682, 104405, 120837, 125119, 76947, 103801, 61689, 9174, 26854, 107188, 32149, 111098, 107441, 33035, 110615, 100909, 102083, 95604, 104468, 125119, 30369, 32977, 116233, 9174, 110229, 29295, 106116, 28713, 102802, 20230, 117119, 8107, 32149, 28713, 114598, 112361, 104466, 111476, 110901, 16144, 125344, 109298, 109298, 16144, 72342, 117201, 16449, 16449, 111329, 19732, 78244, 103836, 105994, 29295, 107991, 16144, 38641, 9174, 85701, 29295, 111476, 105586, 25287, 109904, 119883, 16995, 126386, 107707, 113727, 24273, 198, 14711, 220, 67645, 112384, 16144, 53953, 102158, 10110, 71634, 111672, 11972, 7705, 30512, 102647, 102802, 33541, 32149, 95532, 77181, 95543, 103359, 20230, 5486, 119883, 119188, 116537, 5486, 67645, 103171, 125456, 25333, 30512, 103792, 105879, 109954, 32149, 95532, 119883, 16995, 126386, 17792, 107118, 198, 863, 117864, 47884, 116900, 16144, 113727, 24273, 863, 30512, 103792, 16144, 38641, 9174, 9458, 106759, 20230, 16906, 111, 106624, 101662, 38144, 109115, 33334, 32149, 102639, 16556, 5486, 53953, 30926, 30512, 50834, 120240, 31431, 22957, 26854, 17663, 34171, 35083, 110276, 198, 9458, 104328, 67645, 16995, 21388, 111943, 126198, 33334, 32149, 102639, 16556, 5486, 89151, 119063, 20230, 17792, 30512, 103926, 54926, 104466, 16995, 26854, 100472, 198, 9458, 81258, 107430, 30320, 115, 103232, 23538, 42891, 103351, 33334, 32149, 102639, 16556, 5486, 106222, 16144, 16906, 111, 21105, 243, 30512, 112391, 5486, 115364, 22398, 62903, 33710, 30512, 45736, 109013, 198, 9458, 46729, 29295, 80631, 100, 18259, 237, 103351, 72342, 33334, 32149, 102639, 16556, 108948, 35330, 30512, 27384, 102769, 117657, 101200, 110276, 198, 45631, 115412, 115412, 16144, 72342, 117201, 5486, 31195, 115188, 126194, 36896, 115412, 115412, 112197, 32149, 102639, 16556, 31195, 111329, 19732, 113727, 100934, 16144, 38641, 9174, 125119, 103836, 100909, 5486, 106613, 111186, 103792, 109335, 112361, 38641, 9174, 110229, 29295, 5486, 15017, 231, 58942, 24273, 15120, 59739, 16556, 198, 37087, 61994, 108010, 30297, 53953, 102158, 10110, 71634, 111672, 11972, 23954, 108176, 16144, 38641, 9174, 59739, 109709, 108149, 112568, 16144, 113727, 24273, 33671, 30537, 16556, 108149, 112568, 16144, 103188, 86436, 16144, 106613, 111186, 30512, 111476, 111366, 30369, 47884, 119883, 47884, 53953, 102158, 19732, 78434, 32149, 11571, 109163, 47884, 116292, 102800, 53953, 102158, 19732, 78434, 32149, 95532, 67645, 112384, 16144, 53953, 102158, 108176, 32149, 31195, 111476, 30591, 112568, 15682, 102647, 104369, 105908, 108608, 16144, 38641, 9174, 30813, 38144, 117119, 8107, 32149, 28713, 100472, 45163, 37507, 16144, 30591, 112568, 15682, 5486, 67645, 112384, 16144, 71634, 111672, 11972, 30512, 102158, 106358, 16995, 112130, 11571, 128001, 128000, 2, 220, 85701, 120577, 1544, 16144, 64810, 123283, 37823, 103906, 112997, 29220, 30512, 18904, 111098, 54926, 113009, 5486, 58805, 38529, 50991, 45923, 102803, 110590, 30512, 37271, 114225, 51107, 39926, 72315, 198, 58805, 15682, 5486, 13466, 220, 605, 11883, 16144, 49, 33809, 111134, 106384, 107840, 45923, 102803, 110590, 20230, 1544, 16144, 64810, 123283, 37823, 103906, 112997, 29220, 107407, 106592, 31958, 33503, 111201, 121256, 1811, 58805, 103732, 104533, 115847, 120577, 101171, 228, 112294, 34171, 15682, 13177, 66378, 112607, 16144, 76739, 122407, 44971, 38248, 115, 78205, 16073, 5486, 60868, 113649, 117718, 120853, 33476, 5486, 108134, 87447, 20379, 5486, 42, 1950, 20721, 119732, 80805, 22398, 5486, 125845, 71493, 123437, 33710, 39850, 102494, 37823, 111363, 49988, 37689, 16144, 102181, 50834, 121423, 30512, 113801, 125119, 17663, 125396, 107407, 10646, 103846, 5486, 84851, 28194, 101, 78434, 1811, 23501, 45923, 102803, 110590, 30512, 108608, 103378, 103856, 47884, 51107, 78434, 9174, 58805, 15682, 5486, 1544, 16144, 109606, 16144, 117591, 972, 29295, 13177, 45736, 117503, 125478, 27479, 103195, 19732, 43032, 103854, 5486, 101171, 228, 112294, 34171, 30512, 64810, 123283, 37823, 103906, 108134, 20230, 61304, 107121, 121256, 1811, 109606, 16144, 16, 59739, 10110, 68902, 12, 2366, 15, 12, 9748, 1399, 7705, 112212, 5486, 309, 3013, 408, 81, 35151, 29295, 17701, 48634, 111800, 110322, 30512, 125144, 76947, 117120, 22649, 15024, 5486, 125175, 120853, 33476, 107294, 105722, 30369, 125396, 115991, 33541, 1811, 103283, 16144, 10110, 68902, 12, 2366, 15, 12, 4386, 6083, 119735, 5486, 49, 33809, 76171, 71634, 108994, 11972, 20230, 22023, 117943, 118765, 111800, 52084, 80805, 22398, 115991, 5486, 66378, 112607, 16144, 123716, 35083, 125845, 16937, 37656, 26854, 121159, 103350, 23039, 107294, 105722, 30369, 125396, 115991, 33541, 9174, 85701, 120577, 101171, 228, 112294, 34171, 29295, 4977, 30512, 109688, 117126, 20230, 115143, 103792, 106592, 53283, 30369, 113009, 5486, 109054, 66953, 38248, 119, 123283, 37823, 103906, 16144, 114363, 103722, 46729, 103195, 109215, 15682, 124897, 1811, 25300, 15682, 45923, 102803, 110590, 16144, 51107, 30512, 33035, 100204, 38144, 122617, 16144, 109606, 113115, 117120, 121256, 29295, 5486, 108695, 15682, 127637, 20230, 122617, 16144, 109606, 113115, 117120, 54926, 109335, 103082, 105823, 104127, 56051, 1811, 109606, 16144, 119869, 16144, 66953, 108981, 15682, 49, 33809, 19805, 66953, 78767, 78205, 16073, 508, 13, 22, 13, 16, 16556, 50338, 104662, 84389, 79721, 29295, 5486, 114626, 16144, 109606, 15682, 66953, 78767, 78205, 16073, 1691, 13, 19, 13, 16, 103296, 23951, 37656, 84389, 105823, 104127, 56051, 9174, 85701, 15682, 5486, 45923, 102803, 110590, 30512, 110770, 16144, 121894, 20230, 33563, 59739, 105908, 16995, 111201, 107693, 103195, 32149, 30512, 104195, 104873, 127145, 1811, 102717, 19732, 124592, 122617, 16144, 37823, 37823, 61398, 102052, 16995, 47884, 59739, 116421, 101171, 228, 112294, 34171, 115991, 33541, 29295, 5486, 23951, 37656, 29295, 37823, 37823, 61398, 116216, 55031, 107188, 31431, 106613, 76947, 55031, 108048, 120577, 101171, 228, 112294, 34171, 29295, 121298, 107001, 103296, 20230, 9039, 111299, 56965, 55031, 9039, 32149, 9953, 32149, 117295, 105908, 114652, 57903, 33541, 9174, 122582, 5486, 50991, 45923, 102803, 110590, 29295, 21105, 108, 21105, 108, 32977, 127567, 17663, 80805, 108526, 108941, 107446, 17905, 16144, 60632, 28542, 15682, 112844, 17129, 72661, 124897, 1811, 17039, 102800, 114567, 16144, 32335, 109431, 33208, 20230, 21601, 107290, 121453, 102800, 45923, 102803, 110590, 15682, 117032, 5486, 102040, 65575, 111234, 39880, 55031, 89783, 17620, 26854, 80805, 108526, 108941, 107446, 30512, 113801, 121406, 105908, 125545, 1811, 23501, 102832, 109482, 68759, 105048, 16144, 104873, 112984, 77181, 5486, 121642, 123434, 5486, 58805, 16144, 46913, 220, 17814, 15, 62966, 16556, 24, 113127, 16144, 23226, 106594, 29295, 91774, 102204, 79721, 118844, 15682, 5486, 36668, 20230, 45923, 102803, 110590, 16144, 32335, 109431, 33208, 111848, 102944, 38641, 9174, 45923, 102803, 110590, 15682, 114567, 116749, 16144, 109606, 32977, 23951, 37656, 125545, 1811, 220, 23, 9953, 5486, 58805, 15682, 54846, 113245, 19, 42, 88356, 21990, 30512, 23226, 106594, 54926, 124122, 51107, 103646, 45923, 102803, 110590, 30512, 37823, 37823 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33121, 119178, 111528, 102064, 29295, 108618, 72342, 102131, 20230, 100604, 107803, 32977, 111528, 102064, 104840, 25359, 46034, 103991, 15682, 53508, 100, 62004, 102204, 107515, 118855, 111528, 102064, 104840, 25359, 46034, 103991, 117824, 100472, 126513, 53229, 108630, 103306, 104840, 25359, 111528, 102064, 111363, 54322, 105644, 101911, 71005, 109519, 117824, 30297, 101200, 115717, 33541, 29295, 5486, 103826, 104680, 26854, 113385, 16556, 54322, 105644, 101911, 71005, 109519, 117824, 30297, 105908, 110482, 111108, 26854, 107803, 32977, 111528, 102064, 104840, 25359, 46034, 103991, 15682, 53508, 100, 62004, 102204, 107515, 9174, 77693, 77181, 5486, 29295, 25827, 29295, 108008, 20230, 31809, 30813, 47884, 101462, 255, 16995, 119318, 116310, 20230, 48249, 91077, 39926, 102532, 5486, 54322, 105644, 101911, 71005, 109519, 117824, 30297, 115789, 88367, 16556, 123213, 114754, 111528, 102064, 104840, 25359, 46034, 103991, 30512, 110526, 126693, 37087, 38144, 111528, 102064, 104840, 25359, 46034, 103991, 16556, 109606, 100604, 123253, 32149, 11571, 118899, 77181, 58426, 111694, 112919, 32977, 59739, 111528, 29295, 25827, 16144, 112997, 29220, 32977, 78698, 107290, 103991, 29430, 30512, 122074, 78434, 1811, 114715, 112772, 101182, 19361, 13372, 26854, 58850, 104622, 29295, 103911, 103181, 112535, 111528, 102064, 102769, 21418, 19732, 111528, 102064, 88356, 26892, 46034, 103991, 117824, 100472, 105908, 87177, 104482, 115717, 79721, 1811, 122013, 32943, 20230, 111528, 29295, 25827, 71289, 11239, 113, 17597, 96, 29295, 25827, 29295, 43240, 47884, 102404, 21990, 103792, 104309, 5486, 111528, 29295, 25827, 108176, 112997, 29220, 29295, 32977, 107173, 19732, 126574, 19732, 113727, 110071, 17792, 77181, 112160, 27479, 111528, 29295, 25827, 115717, 5486, 71005, 109519, 117824, 16995, 58426, 29295, 25827, 29295, 47406, 71005, 120837, 5486, 66378, 20230, 105268, 8107, 30046, 77181, 58426, 123470, 21990, 96311, 107, 16144, 117591, 20230, 88356, 27479, 103283, 16144, 111528, 29295, 25827, 29295, 17039, 106045, 20230, 102404, 21990, 54926, 112997, 29220, 30512, 78698, 105262, 109215, 115991, 33541, 109900, 15682, 95543, 103359, 110366, 16144, 111528, 102064, 115287, 31431, 5486, 111528, 102064, 104840, 25359, 46034, 103991, 117824, 100472, 126513, 58426, 104840, 25359, 111528, 102064, 115287, 31431, 78434, 1811, 38641, 55031, 111528, 102064, 104840, 25359, 46034, 103991, 16144, 57980, 16995, 109431, 106608, 127303, 114598, 108149, 107290, 111528, 102064, 102769, 21418, 103991, 117824, 30297, 115789, 113727, 33541, 9174, 51330, 104466, 117382, 126036, 127762, 30358, 20230, 103991, 29430, 30512, 111800, 118219, 54926, 101200, 110276, 100909, 19732, 5486, 57207, 37823, 109713, 76171, 125540, 52414, 30512, 11883, 102334, 111528, 102064, 88356, 26892, 46034, 103991, 29295, 33563, 117126, 109431, 106608, 110276, 115789, 30358, 26854, 76947, 5486, 110382, 118899, 77181, 111528, 102064, 104840, 25359, 46034, 103991, 16144, 111017, 40862, 29295, 117382, 105755, 15682, 114715, 114485, 83747, 109768, 104533, 16144, 120270, 32977, 57903, 33541, 1811, 128001, 128000, 114387, 101067, 16995, 30512, 32977, 100472, 109335, 124897, 32149, 95532, 863, 119883, 102532, 91774, 105262, 17792, 863, 112031, 19524, 119883, 102532, 91774, 119841, 17792, 89874, 30591, 112568, 15682, 67645, 112384, 123253, 32149, 95532, 58426, 31634, 63212, 29295, 26854, 103171, 104865, 15682, 104398, 32149, 47884, 78244, 119841, 5486, 105321, 19732, 103470, 112391, 30369, 102189, 106046, 61689, 9174, 119883, 102532, 91774, 105262, 17792, 5486, 63091, 22023, 29295, 64121, 26854, 105557, 103836, 17792, 30512, 47453, 101, 17129, 102800, 19732, 112391, 28713, 109335, 112832, 72661, 57903, 33541, 9174, 58426, 95543, 103359, 20230, 61689, 123794, 16449, 5486, 16995, 78183, 106644, 30369, 198, 13177, 80805, 26269, 19732, 21105, 103, 16995, 107461, 20251, 111329, 107943, 126101, 198, 13177, 26854, 104127, 105994, 15682, 119883, 50834, 29295, 43568, 16995, 104865, 26854, 108861, 16449, 111329, 114016, 103001, 228, 102532, 64121, 111243, 106548, 24273, 124897, 9174, 119883, 119188, 17792, 19732, 102131, 16556, 100604, 17792, 110792, 121953, 15682, 26854, 104127, 109954, 32149, 95532, 103350, 15682, 5486, 102717, 25827, 16144, 863, 120065, 56051, 121953, 863, 16556, 67016, 100604, 16144, 38641, 9174, 58426, 121953, 107118, 31195, 111476, 863, 115364, 103188, 86436, 30512, 57326, 112718, 20230, 15017, 231, 58942, 100934, 32149, 104405, 32149, 82364, 198, 126529, 38641, 9174, 14711, 113170, 112568, 16144, 103188, 86436, 16144, 106613, 111186, 16144, 101682, 76622, 82533, 62004, 24273, 20230, 109606, 39880, 37823, 106609, 112832, 72661, 5486, 113261, 16995, 107404, 55031, 105994, 29295, 105564, 102532, 105898, 17792, 21990, 76947, 57903, 33541, 9174, 105104, 31431, 104196, 76947, 64121, 104533, 5486, 105465, 102800, 106613, 111186, 32977, 30591, 104984, 59739, 33503, 102518, 106613, 111186, 5486, 17792, 20230, 78244, 119841, 105933, 101128, 102, 64121, 31195, 118969, 75694, 17129, 101182, 100909, 19732, 123253, 9174, 102131, 31195, 198, 112832, 20230, 72661, 58426, 17792, 26854, 111331, 103188, 86436, 107407, 97718, 38641, 9174, 77181, 111476, 58426, 103188, 86436, 16144, 106613, 111186, 29295, 116898, 17129, 112599, 16144, 30591, 112568, 20230, 104405, 117375, 103792, 123253, 32149, 95532, 105465, 67016, 100472, 31431, 5486, 19653, 56051, 106613, 111186, 15682, 57326, 112718, 20230, 122502, 119188, 118733, 109954, 9174, 58426, 95543, 103359, 20230, 111476, 59739, 33503, 102518, 5486, 107202, 67016, 100472, 5486, 116292, 67016, 100472, 106613, 111186, 15682, 104405, 123253, 32149, 95532, 107943, 106613, 111186, 15682, 108149, 112568, 125030, 76947, 127359, 25197, 96452, 22398, 20230, 122502, 16995, 126386, 123253, 32149, 95532, 27452, 116285, 114387, 112391, 20230, 31195, 9174, 9458, 106759, 20230, 16906, 111, 106624, 101662, 38144, 109115, 72342, 117201, 5486, 109163, 16995, 34171, 35083, 110276, 16449, 198, 9458, 104328, 67645, 16995, 21388, 111943, 126198, 28713, 72342, 117201, 5486, 89151, 119063, 20230, 17792, 30512, 120111, 101983, 33121, 123733, 100472, 31195, 198, 9458, 81258, 107430, 30320, 115, 103232, 23538, 42891, 103351, 72342, 117201, 5486, 85791, 115737, 117876, 107294, 76622, 126386, 16449, 16449, 198, 9458, 46729, 29295, 80631, 100, 18259, 237, 103351, 72342, 117201, 5486, 11239, 239, 23602, 230, 26854, 34171, 35083, 110276, 16449, 16449, 198, 118544, 29295, 112130, 95532, 40265, 38144, 15682, 17129, 33503, 103470, 111243, 115847, 19732, 104409, 28713, 105933, 863, 101067, 16995, 863, 30512, 5486, 64209, 16144, 116414, 32149, 69978, 106358, 31431, 21105, 103, 117201, 109954, 32149, 95532, 17905, 16144, 27452, 77181, 5486, 93488, 99959, 91062, 20230, 102181, 50834, 79721, 29295, 5486, 55999, 33035, 103792, 28542, 29295, 15120, 59739, 57903, 33541, 9174, 122582, 111476, 115412, 115412, 16144, 72342, 117201, 5486, 31195, 198, 102677, 113727, 24273, 38641, 9174, 45631, 10110, 105994, 126194, 7705, 41642, 111331, 117501, 16144, 72342, 117201, 31195, 108895, 26854, 100472, 111329, 102677, 125456, 41007, 16556, 113727, 125398, 16144, 38641, 9174, 85701, 15682, 111476, 16937, 106515, 26854, 122768, 35417, 16144, 53953, 102158, 38641, 9174, 102131, 108149, 112568, 15682, 198, 863, 116292, 108740, 16144, 107461, 118517, 11972, 863, 126529, 38641, 9174, 51330, 105933, 113727, 24273, 29295, 109606, 26854, 104468, 5486, 101860, 11972, 104043, 101544, 116033, 78183, 28713, 76947, 113801, 101860, 30369, 100909, 38641, 9174, 51330, 105933, 125456, 41007, 114792, 107462, 104533, 71289, 42891, 121867, 38641, 9174, 85701, 55031, 61826, 32977, 108149, 112568, 16144, 41642, 31431, 102052, 16937, 106515, 26854, 106084, 30926, 15682, 104405, 120837, 125119, 76947, 103801, 61689, 9174, 26854, 107188, 32149, 111098, 107441, 33035, 110615, 100909, 102083, 95604, 104468, 125119, 30369, 32977, 116233, 9174, 110229, 29295, 106116, 28713, 102802, 20230, 117119, 8107, 32149, 28713, 114598, 112361, 104466, 111476, 110901, 16144, 125344, 109298, 109298, 16144, 72342, 117201, 16449, 16449, 111329, 19732, 78244, 103836, 105994, 29295, 107991, 16144, 38641, 9174, 85701, 29295, 111476, 105586, 25287, 109904, 119883, 16995, 126386, 107707, 113727, 24273, 198, 14711, 220, 67645, 112384, 16144, 53953, 102158, 10110, 71634, 111672, 11972, 7705, 30512, 102647, 102802, 33541, 32149, 95532, 77181, 95543, 103359, 20230, 5486, 119883, 119188, 116537, 5486, 67645, 103171, 125456, 25333, 30512, 103792, 105879, 109954, 32149, 95532, 119883, 16995, 126386, 17792, 107118, 198, 863, 117864, 47884, 116900, 16144, 113727, 24273, 863, 30512, 103792, 16144, 38641, 9174, 9458, 106759, 20230, 16906, 111, 106624, 101662, 38144, 109115, 33334, 32149, 102639, 16556, 5486, 53953, 30926, 30512, 50834, 120240, 31431, 22957, 26854, 17663, 34171, 35083, 110276, 198, 9458, 104328, 67645, 16995, 21388, 111943, 126198, 33334, 32149, 102639, 16556, 5486, 89151, 119063, 20230, 17792, 30512, 103926, 54926, 104466, 16995, 26854, 100472, 198, 9458, 81258, 107430, 30320, 115, 103232, 23538, 42891, 103351, 33334, 32149, 102639, 16556, 5486, 106222, 16144, 16906, 111, 21105, 243, 30512, 112391, 5486, 115364, 22398, 62903, 33710, 30512, 45736, 109013, 198, 9458, 46729, 29295, 80631, 100, 18259, 237, 103351, 72342, 33334, 32149, 102639, 16556, 108948, 35330, 30512, 27384, 102769, 117657, 101200, 110276, 198, 45631, 115412, 115412, 16144, 72342, 117201, 5486, 31195, 115188, 126194, 36896, 115412, 115412, 112197, 32149, 102639, 16556, 31195, 111329, 19732, 113727, 100934, 16144, 38641, 9174, 125119, 103836, 100909, 5486, 106613, 111186, 103792, 109335, 112361, 38641, 9174, 110229, 29295, 5486, 15017, 231, 58942, 24273, 15120, 59739, 16556, 198, 37087, 61994, 108010, 30297, 53953, 102158, 10110, 71634, 111672, 11972, 23954, 108176, 16144, 38641, 9174, 59739, 109709, 108149, 112568, 16144, 113727, 24273, 33671, 30537, 16556, 108149, 112568, 16144, 103188, 86436, 16144, 106613, 111186, 30512, 111476, 111366, 30369, 47884, 119883, 47884, 53953, 102158, 19732, 78434, 32149, 11571, 109163, 47884, 116292, 102800, 53953, 102158, 19732, 78434, 32149, 95532, 67645, 112384, 16144, 53953, 102158, 108176, 32149, 31195, 111476, 30591, 112568, 15682, 102647, 104369, 105908, 108608, 16144, 38641, 9174, 30813, 38144, 117119, 8107, 32149, 28713, 100472, 45163, 37507, 16144, 30591, 112568, 15682, 5486, 67645, 112384, 16144, 71634, 111672, 11972, 30512, 102158, 106358, 16995, 112130, 11571, 128001, 128000, 2, 220, 85701, 120577, 1544, 16144, 64810, 123283, 37823, 103906, 112997, 29220, 30512, 18904, 111098, 54926, 113009, 5486, 58805, 38529, 50991, 45923, 102803, 110590, 30512, 37271, 114225, 51107, 39926, 72315, 198, 58805, 15682, 5486, 13466, 220, 605, 11883, 16144, 49, 33809, 111134, 106384, 107840, 45923, 102803, 110590, 20230, 1544, 16144, 64810, 123283, 37823, 103906, 112997, 29220, 107407, 106592, 31958, 33503, 111201, 121256, 1811, 58805, 103732, 104533, 115847, 120577, 101171, 228, 112294, 34171, 15682, 13177, 66378, 112607, 16144, 76739, 122407, 44971, 38248, 115, 78205, 16073, 5486, 60868, 113649, 117718, 120853, 33476, 5486, 108134, 87447, 20379, 5486, 42, 1950, 20721, 119732, 80805, 22398, 5486, 125845, 71493, 123437, 33710, 39850, 102494, 37823, 111363, 49988, 37689, 16144, 102181, 50834, 121423, 30512, 113801, 125119, 17663, 125396, 107407, 10646, 103846, 5486, 84851, 28194, 101, 78434, 1811, 23501, 45923, 102803, 110590, 30512, 108608, 103378, 103856, 47884, 51107, 78434, 9174, 58805, 15682, 5486, 1544, 16144, 109606, 16144, 117591, 972, 29295, 13177, 45736, 117503, 125478, 27479, 103195, 19732, 43032, 103854, 5486, 101171, 228, 112294, 34171, 30512, 64810, 123283, 37823, 103906, 108134, 20230, 61304, 107121, 121256, 1811, 109606, 16144, 16, 59739, 10110, 68902, 12, 2366, 15, 12, 9748, 1399, 7705, 112212, 5486, 309, 3013, 408, 81, 35151, 29295, 17701, 48634, 111800, 110322, 30512, 125144, 76947, 117120, 22649, 15024, 5486, 125175, 120853, 33476, 107294, 105722, 30369, 125396, 115991, 33541, 1811, 103283, 16144, 10110, 68902, 12, 2366, 15, 12, 4386, 6083, 119735, 5486, 49, 33809, 76171, 71634, 108994, 11972, 20230, 22023, 117943, 118765, 111800, 52084, 80805, 22398, 115991, 5486, 66378, 112607, 16144, 123716, 35083, 125845, 16937, 37656, 26854, 121159, 103350, 23039, 107294, 105722, 30369, 125396, 115991, 33541, 9174, 85701, 120577, 101171, 228, 112294, 34171, 29295, 4977, 30512, 109688, 117126, 20230, 115143, 103792, 106592, 53283, 30369, 113009, 5486, 109054, 66953, 38248, 119, 123283, 37823, 103906, 16144, 114363, 103722, 46729, 103195, 109215, 15682, 124897, 1811, 25300, 15682, 45923, 102803, 110590, 16144, 51107, 30512, 33035, 100204, 38144, 122617, 16144, 109606, 113115, 117120, 121256, 29295, 5486, 108695, 15682, 127637, 20230, 122617, 16144, 109606, 113115, 117120, 54926, 109335, 103082, 105823, 104127, 56051, 1811, 109606, 16144, 119869, 16144, 66953, 108981, 15682, 49, 33809, 19805, 66953, 78767, 78205, 16073, 508, 13, 22, 13, 16, 16556, 50338, 104662, 84389, 79721, 29295, 5486, 114626, 16144, 109606, 15682, 66953, 78767, 78205, 16073, 1691, 13, 19, 13, 16, 103296, 23951, 37656, 84389, 105823, 104127, 56051, 9174, 85701, 15682, 5486, 45923, 102803, 110590, 30512, 110770, 16144, 121894, 20230, 33563, 59739, 105908, 16995, 111201, 107693, 103195, 32149, 30512, 104195, 104873, 127145, 1811, 102717, 19732, 124592, 122617, 16144, 37823, 37823, 61398, 102052, 16995, 47884, 59739, 116421, 101171, 228, 112294, 34171, 115991, 33541, 29295, 5486, 23951, 37656, 29295, 37823, 37823, 61398, 116216, 55031, 107188, 31431, 106613, 76947, 55031, 108048, 120577, 101171, 228, 112294, 34171, 29295, 121298, 107001, 103296, 20230, 9039, 111299, 56965, 55031, 9039, 32149, 9953, 32149, 117295, 105908, 114652, 57903, 33541, 9174, 122582, 5486, 50991, 45923, 102803, 110590, 29295, 21105, 108, 21105, 108, 32977, 127567, 17663, 80805, 108526, 108941, 107446, 17905, 16144, 60632, 28542, 15682, 112844, 17129, 72661, 124897, 1811, 17039, 102800, 114567, 16144, 32335, 109431, 33208, 20230, 21601, 107290, 121453, 102800, 45923, 102803, 110590, 15682, 117032, 5486, 102040, 65575, 111234, 39880, 55031, 89783, 17620, 26854, 80805, 108526, 108941, 107446, 30512, 113801, 121406, 105908, 125545, 1811, 23501, 102832, 109482, 68759, 105048, 16144, 104873, 112984, 77181, 5486, 121642, 123434, 5486, 58805, 16144, 46913, 220, 17814, 15, 62966, 16556, 24, 113127, 16144, 23226, 106594, 29295, 91774, 102204, 79721, 118844, 15682, 5486, 36668, 20230, 45923, 102803, 110590, 16144, 32335, 109431, 33208, 111848, 102944, 38641, 9174, 45923, 102803, 110590, 15682, 114567, 116749, 16144, 109606, 32977, 23951, 37656, 125545, 1811, 220, 23, 9953, 5486, 58805, 15682, 54846, 113245, 19, 42, 88356, 21990, 30512, 23226, 106594, 54926, 124122, 51107, 103646, 45923, 102803, 110590, 30512, 37823, 37823 ]
[ 61398, 15024, 5486, 58805, 16144, 49, 88, 5797, 45923, 102803, 110590, 16144, 51107, 220, 112212, 5486, 108152, 38248, 114, 113390, 22398, 102756, 65575, 29295, 121298, 107001, 108263, 27327, 34171, 16144, 101182, 109606, 29295, 23951, 37656, 84389, 79721, 1811, 17039, 102800, 45923, 102803, 110590, 15682, 40053, 20230, 51330, 105933, 109606, 30512, 23951, 37656, 54926, 103846, 5486, 108608, 103378, 118430, 118095, 20230, 51107, 30512, 114140, 54926, 109215, 115991, 33541, 9174, 567, 124381, 30512, 106154, 30369, 41007, 198, 107740, 88367, 26854, 110770, 16144, 45923, 102803, 110590, 20230, 51107, 54926, 106592, 33334, 53508, 100, 62004, 78434, 29295, 5486, 58805, 15682, 5486, 49, 33809, 45923, 102803, 110590, 1691, 13, 19, 13, 16, 10110, 76739, 114483, 107610, 102803, 78525, 123218, 16144, 126513, 1691, 10208, 17, 7705, 30512, 38129, 39926, 5486, 64810, 123283, 37823, 103906, 108134, 20230, 61304, 107121, 110731, 1544, 16144, 109606, 30512, 23951, 37656, 121256, 118844, 120577, 114626, 16144, 17, 118821, 45923, 102803, 110590, 15682, 110176, 24273, 19732, 3484, 28359, 32149, 9953, 112772, 37823, 37823, 61398, 84389, 79721, 1811, 110770, 16144, 45923, 102803, 110590, 15682, 1691, 13, 806, 13, 17, 16556, 5486, 76505, 110195, 117816, 37823, 37823, 61398, 84389, 79721, 9174, 33334, 33655, 117714, 45923, 102803, 110590, 16144, 66953, 78767, 78205, 16073, 30512, 114140, 54926, 102052, 5486, 4977, 16556, 58805, 38529, 116700, 125523, 50834, 5486, 9837, 9, 45923, 102803, 110590, 19732, 102741, 112508, 111234, 39880, 9, 60, 47307, 52884, 30512, 114140, 78434, 1811, 38129, 103792, 45923, 102803, 110590, 16144, 66953, 78767, 78205, 16073, 30512, 114140, 56051, 31431, 5486, 51107, 30512, 114140, 56051, 31431, 125545, 1811, 17297, 117083, 58, 353, 51107, 9, 16144, 353, 114140, 9, 60, 103672, 127065, 30512, 107167, 48552, 39926, 5486, 38129, 88367, 26854, 45923, 102803, 110590, 107407, 32149, 104405, 32149, 30512, 353, 114140, 15024, 9, 33541, 9174, 49, 33809, 102741, 112508, 111234, 39880, 30512, 112185, 76171, 71634, 64178, 109768, 100604, 126513, 5486, 58805, 16144, 45923, 102803, 66953, 117697, 115691, 42634, 65575, 122481, 20230, 39880, 122086, 22398, 39926, 72315, 1811, 45923, 102803, 66953, 30512, 46034, 91875, 16556, 76171, 71634, 64178, 54926, 126513, 108948, 110794, 16144, 111134, 106384, 48552, 123218, 30512, 121507, 112990, 5486, 116229, 16556, 107740, 88367, 26854, 110770, 66953, 78767, 78205, 16073, 29295, 52563, 84389, 33541, 1811, 90620, 15024, 5486, 58805, 16144, 115681, 111800, 20834, 108152, 117675, 37823, 103906, 30512, 38129, 54926, 106592, 33334, 53508, 100, 62004, 78434, 113637, 103223, 64178, 15682, 5486, 49, 33809, 102741, 112508, 111234, 39880, 30512, 76171, 71634, 64178, 54926, 121142, 103470, 5486, 45163, 110782, 20230, 45923, 102803, 110590, 16144, 51107, 29295, 119237, 108176, 121142, 103470, 5486, 4977, 30512, 22398, 107391, 16073, 39926, 58805, 105107, 25446, 16144, 51107, 30512, 114140, 78434, 1811, 128001, 128000, 2, 76502, 123307, 76622, 82533, 62004, 126328, 100204, 109709, 5486, 102181, 50834, 107471, 33503, 17663, 64780, 17129, 100204, 62004, 109163, 62004, 61633, 198, 45840, 16144, 51537, 27608, 15682, 76739, 102860, 108744, 9174, 124131, 103927, 4977, 5486, 101426, 103359, 105226, 32307, 37087, 116446, 110589, 32977, 33334, 117876, 9174, 58666, 120044, 71289, 58666, 21105, 243, 123334, 112043, 31431, 105243, 110596, 112622, 30297, 102944, 9174, 37087, 13153, 17620, 30512, 116696, 48552, 39926, 5486, 16, 59739, 20, 11, 931, 35757, 108680, 16144, 90962, 38248, 105, 122842, 9080, 123307, 76622, 82533, 62004, 124905, 16995, 5486, 117816, 99849, 27479, 32149, 15682, 59657, 245, 31431, 74245, 15024, 5486, 60868, 113155, 104612, 16144, 9080, 101427, 246, 71289, 127779, 124863, 59614, 116156, 5486, 111199, 107542, 47884, 62004, 16144, 58850, 113146, 32977, 57903, 79721, 10110, 112672, 5486, 117508, 48915, 101911, 126845, 108267, 21403, 97, 123505, 103378, 120811, 39135, 103171, 64936, 27479, 55031, 113727, 112391, 38144, 9174, 10110, 103087, 22656, 121930, 106613, 111587, 71289, 5486, 109972, 107674, 110366, 16144, 101161, 105, 31431, 86436, 109115, 114172, 102512, 5486, 60632, 112607, 16556, 21405, 102052, 16556, 20230, 47884, 16995, 15024, 33476, 23187, 84389, 29295, 43514, 26854, 100909, 71289, 5486, 863, 40053, 109375, 863, 108295, 40053, 20230, 78459, 71493, 32131, 101182, 102944, 29295, 19967, 121118, 5486, 110596, 18904, 15024, 20230, 67016, 102181, 105898, 47884, 100604, 105933, 100909, 110162, 123505, 37271, 112599, 5486, 120044, 20230, 13177, 9080, 123307, 76622, 82533, 62004, 10646, 15682, 59657, 245, 107462, 107515, 9174, 125764, 53953, 9458, 113136, 120379, 9458, 104654, 108710, 101557, 96, 108048, 33503, 108729, 30512, 17599, 117, 104792, 54926, 118733, 5486, 108608, 103378, 109683, 26854, 102944, 117657, 100909, 19732, 5486, 127779, 45829, 19732, 109683, 15308, 121, 107517, 100990, 123, 16144, 46034, 19967, 31431, 9080, 21418, 76622, 68759, 115592, 19732, 127779, 45829, 16556, 116414, 103296, 58666, 120044, 20230, 114099, 102669, 108608, 108995, 32149, 9174, 103378, 120811, 8107, 106036, 95, 30512, 30358, 101832, 127567, 5486, 101987, 104004, 116245, 29295, 124500, 100472, 33503, 5486, 113727, 24273, 29295, 124500, 100472, 33503, 5486, 59657, 245, 30369, 32149, 110241, 33121, 107515, 1811, 120328, 23039, 43568, 40053, 5486, 105994, 120885, 124500, 30369, 105272, 55031, 33563, 110322, 15682, 118765, 30019, 1811, 9174, 120044, 92877, 33208, 16144, 23, 111017, 29295, 117508, 48915, 101911, 118816, 117952, 115032, 118288, 37271, 9174, 101083, 102052, 89151, 116900, 16144, 108134, 29295, 36117, 95, 115032, 9174, 47260, 44971, 29295, 37656, 102800, 122582, 65299, 102741, 9174, 111800, 52084, 110480, 25129, 32977, 33334, 35330, 16556, 110480, 25129, 104873, 64531, 108608, 15120, 28190, 1811, 103378, 120811, 122582, 37271, 20230, 27704, 117864, 100909, 110034, 1811, 101083, 16144, 863, 40053, 109375, 863, 5486, 53283, 109375, 16144, 102832, 61398, 5486, 100927, 70626, 102181, 116825, 47884, 104533, 50834, 120885, 108948, 35330, 15682, 91774, 119841, 105068, 123470, 105068, 74482, 16556, 120351, 30358, 105352, 91774, 58942, 109669, 124749, 104195, 47884, 117139, 17129, 103836, 9174, 108134, 16144, 20834, 67645, 107404, 15682, 116414, 95532, 21405, 28190, 126194, 112160, 59739, 61826, 126194, 5486, 24186, 30512, 16205, 123, 33121, 127211, 24186, 126636, 24186, 16144, 100909, 5486, 110219, 116446, 127567, 17620, 124403, 108995, 1811, 86127, 120885, 53283, 100472, 15682, 30320, 115, 58911, 112028, 64936, 5486, 103378, 120811, 77693, 17663, 33503, 89151, 103350, 26854, 104865, 15682, 13357, 229, 107809, 9174, 10110, 76739, 91482, 68408, 107446, 108048, 33503, 120885, 17792, 101399, 112535, 19967, 106824, 114732, 1811, 103087, 35330, 48634, 71289, 110886, 48634, 29295, 30591, 104984, 1811, 17129, 108861, 108048, 16995, 100472, 33503, 105156, 82420, 120885, 39135, 103171, 91763, 115461, 30512, 118544, 105352, 77693, 108005, 121, 16995, 111134, 52591, 16144, 105665, 20230, 125062, 39926, 125053, 103082, 38144, 114732, 1811, 110904, 25129, 15682, 11571, 122282, 41007, 15682, 11571, 26854, 112371, 58426, 117232, 11571, 43511, 19732, 57106, 115694, 11571, 80673, 53283, 109375, 100604, 17620, 102212, 114016, 122270, 122270, 13357, 229, 16144, 26854, 32149, 123505, 105242, 17161, 9458, 102473, 16144, 91774, 119841, 20834, 103087, 30046, 5486, 102473, 120885, 33334, 35330, 32977, 82973, 32977, 32149, 117295, 1811, 66776, 40474, 26854, 108680, 20230, 103087, 22656, 121930, 1811, 89151, 103350, 15682, 19732, 111243, 91774, 58942, 109669, 110706, 1811, 29504, 105755, 112424, 105755, 103350, 105284, 104195, 27929, 26854, 43240, 29504, 108847, 114435, 9174, 77693, 33503, 104088, 113487, 47884, 125231, 116497, 16144, 74245, 99750, 15682, 5486, 115303, 59739, 103378, 30512, 37656, 50338, 19732, 103646, 19524, 104378, 863, 112031, 5486, 36785, 33121, 111201, 19732, 76947, 72368, 40862, 114652, 19967, 109115, 863, 40053, 109375, 863, 112031, 5486, 109683, 55031, 106627, 33121, 120195, 28713, 102456, 104654, 16556, 27552, 229, 112586, 27552, 229, 76947, 114604, 9174, 10110, 37271, 16144, 104378, 114318, 111243, 863, 17129, 100204, 62004, 863, 20230, 89151, 20230, 101682, 76622, 101732, 33503, 5486, 17129, 100204, 62004, 26854, 17792, 108680, 102625, 20230, 121771, 109020, 104468, 114318, 111243, 40265, 115926, 25580, 26854, 100909, 26854, 95221, 32977, 54926, 123505, 103378, 120811, 127880, 123120, 71289, 122225, 75146, 107253, 120885, 102131, 1811, 20251, 68759, 20251, 29295, 58666, 120044, 103732, 16995, 19732, 104655, 50834, 5486, 20251, 68759, 20251, 29295, 120111, 110276, 9174, 108134, 30512, 5486, 125764, 100934, 9174, 10110, 102212, 21990, 109904, 99750, 112854, 15682, 116414, 102416, 198, 87177, 15682, 67645, 124592, 127842, 89753, 33121, 100481, 47884, 9174, 16, 107707, 102321, 31640, 111482, 103306, 5486, 50834, 33121, 16995, 26854, 120044, 30512, 33563, 43514, 106956, 19732, 9080, 123307, 76622, 82533, 62004, 109853, 39880, 44971, 47260, 44971, 104873, 115694, 17792, 33014, 103350, 111186, 30019, 9174, 30019, 9174, 13177, 9080, 21418, 76622, 66383, 95604, 126067, 15682, 108064, 55031, 105693, 95532, 91763, 30297, 20230, 50834, 104043, 122582, 5486, 88399, 239, 16995, 101402, 107873, 101426, 19732, 114516, 29295, 102334, 119400, 55031, 1811, 104149, 16144, 30591, 28713, 28713, 107188, 9080, 104364, 15024, 15682, 75293, 43514, 118220, 29295, 104028, 123682, 32977, 5486, 66285, 120, 107969, 101402, 107873, 15682, 120044, 30512, 76428, 37823, 76428, 37823, 9174, 102491, 31640, 113146, 9174, 9080, 104364, 119432, 104195, 16995, 9080, 102052, 111398, 76505, 16144, 17297, 71289, 113312, 91739, 253, 107809, 29295, 16556, 9080, 21418, 76622, 30512, 39926, 96311, 120, 30512, 50928, 101732, 104468, 114093, 17620, 20230, 113727, 110071, 9174, 101538, 103826, 71289, 112607, 48634, 112919, 103892, 17905, 20230, 9080, 101427, 246, 120950, 102944, 30512, 46729, 37507, 106046, 21105, 235, 114754, 30813, 103792, 102491, 31640, 76739, 76428, 57326, 20251, 71289, 102491, 16995, 59795, 16144, 121995, 32977, 57903, 79721, 9174, 39880, 52591, 109896, 16144, 19732, 101182, 104091, 71869, 16144, 111482, 15682, 103892, 34048, 19732, 111199, 16995, 52927, 16556, 117633, 16995, 5486, 45829, 67645, 32977, 15682, 9080, 21418, 76622, 16144, 113009, 104328, 107106, 28713, 25827, 16144, 108768, 33710, 39850, 67075, 19732, 119147, 124905, 30297, 105272, 110162, 9174, 127177, 121593, 72661, 119147, 71289, 109657, 74090, 5486, 102465, 118954, 30512, 33014, 20230, 59657, 245, 30369, 106581, 29295, 91774, 110071, 104468, 50834, 104043, 5486, 120843, 78256, 254, 30590, 115351, 16556, 104195, 16995, 9080, 104364, 67016, 33503, 111098, 105784, 115552, 40862, 16995, 122291, 116497, 9174, 19361, 13372, 26854, 110229, 77181, 5486, 111199, 16995, 52927, 16556, 115499, 109972, 30297, 107461, 106901, 52884, 110162, 107461, 68759, 64178, 5486, 78683, 71493, 52884, 19732, 127173, 104028, 102944, 10110, 58426, 30590, 77181, 107461, 106901, 52884, 29295, 92979, 2099, 1691, 110162, 72661, 105525, 107462, 104533, 32149, 75376, 39880, 96841, 105, 78683, 105335, 113883, 112193, 71493, 32977, 19361, 13372, 5486, 88399, 239, 16995, 105140, 16144, 9080, 102052, 89151, 104409, 56051, 47884, 109020, 1811, 9080, 123307, 76622, 82533, 62004, 110214, 16556, 120044, 71289, 76622, 26854, 102131, 30019, 9174, 67016, 21105, 241, 33121, 33503, 15682, 58666, 120044, 102677, 105755, 5486, 104195, 120195, 30369, 9080, 104364, 67016, 33503, 120044, 30512, 13177, 106154, 30369, 10646, 115552, 113245, 33655, 123671, 24273, 36785, 5486, 112169, 34171, 1981, 10110, 9080, 104364, 15024, 112294, 16995, 49409, 104959, 50667, 77181, 108895, 95604, 106581, 15682, 102404, 104067, 72342, 101860, 20230, 5486, 116900, 20230, 9080, 102867, 82973, 29295, 106649, 16995, 19732, 108882, 110993, 112535, 9080, 101426, 118959, 54926, 106581, 29295, 21990, 17129, 103468, 31431, 108149, 108861, 5486, 57326, 112718, 32977, 43514, 85791, 25827, 106699, 100927, 109904, 114667, 32977, 77693, 108422, 33121, 101182, 32149, 32977, 119627, 123505, 87177, 29295, 101860, 33121, 120195, 5486, 109163, 120195, 119627, 5486, 100818, 234, 45893, 23951, 37656, 32977, 72342, 101860, 9080, 123307, 76622, 82533, 62004, 114556, 39926, 91763, 30297, 15682, 10110, 80673, 99849, 30926, 32977, 115303, 118821, 106592, 102987, 45144, 222, 31431, 105104, 32149, 109416, 31431, 126693, 5486, 112424, 110886, 5486, 106699, 100927, 115981, 48864, 5486, 97518, 78183, 30369, 109335, 43240, 58699, 238, 20230, 110968, 30369, 16144, 111769, 36785, 85791, 32149, 1811, 102321, 31640, 106222, 5486, 116414, 20230, 120885, 102717, 109416, 15722, 103, 101182, 55031, 123505, 46729, 10110, 127960, 7705, 29295, 102780, 16144, 119870, 64121, 75267, 126758, 108680, 118448, 33121, 20230, 118448, 106824, 103553, 102, 127258, 111352, 25580, 26854, 110115, 5486, 107943, 118448, 33121, 28873, 38144, 28713, 104612, 33710, 20230, 108901, 26274, 255, 125210, 30297, 103621, 101198, 102571, 121536, 107809, 5486, 108031, 111017, 106824, 27552, 229, 100472, 117785, 107809, 16144, 115364, 58666, 21105, 243, 122416, 95221, 116446, 30369, 115226, 26854, 198, 107943, 99750, 112854, 29295, 17663, 22957, 15024, 5486, 45951, 121, 21990, 107800, 55031, 38641, 9174, 10110, 80673, 122571, 114652, 117785, 30512, 64121, 38144, 110783, 71493, 47307, 78459, 30512, 95221, 20230, 103792, 1811, 91774, 28713, 30832, 32977, 33334, 116826, 33121, 32977, 77693, 26854, 112586, 22957, 36785, 78183, 30369, 16144, 120111, 1811, 117501, 16144, 115789, 5486, 95221, 20230, 21105, 103, 16995, 95221, 109669, 126660, 105494, 15682, 127181, 116497, 1811, 99959, 112193, 105335, 108506, 65575, 107118, 127880, 100909, 32149, 110241, 33121, 107515, 123505, 863, 108936, 112535, 863, 5486, 863, 127960, 20230, 104622, 102800, 863, 112031, 110731, 100909, 17663, 33503, 104584, 50834, 50520, 108, 109013, 33503, 5486, 37087, 61994, 104622, 106624, 100604, 115789, 101182, 120266, 31374, 243, 61994, 109900, 17663, 33503, 60632, 112607, 106391, 67178, 107809, 20230, 103214, 64121, 104526, 123606, 101732, 1811, 40053, 109375, 19732, 37656, 21105, 243, 16556, 47884, 32977, 100472, 30832, 77181, 5486, 108064, 103296, 28713, 114598, 127960, 30512, 21980, 248, 17663, 9174, 39880, 57207, 47307, 71493, 15682, 13177, 27552, 229, 31431, 26854, 50834, 102701, 16556, 91774, 23187, 62004, 5486, 104662, 109315, 66383, 16995, 100472, 123682, 117119, 30512, 27552, 229, 107462, 104533, 23187, 104577, 54926, 11571, 13177, 27552, 229, 31431, 26854, 50834, 66383, 78244, 103836, 39177, 28542, 16556, 122582, 5486, 114516, 66378, 19361, 16144, 23187, 104577, 109669, 76622, 9458, 40053, 109375, 122382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 61398, 15024, 5486, 58805, 16144, 49, 88, 5797, 45923, 102803, 110590, 16144, 51107, 220, 112212, 5486, 108152, 38248, 114, 113390, 22398, 102756, 65575, 29295, 121298, 107001, 108263, 27327, 34171, 16144, 101182, 109606, 29295, 23951, 37656, 84389, 79721, 1811, 17039, 102800, 45923, 102803, 110590, 15682, 40053, 20230, 51330, 105933, 109606, 30512, 23951, 37656, 54926, 103846, 5486, 108608, 103378, 118430, 118095, 20230, 51107, 30512, 114140, 54926, 109215, 115991, 33541, 9174, 567, 124381, 30512, 106154, 30369, 41007, 198, 107740, 88367, 26854, 110770, 16144, 45923, 102803, 110590, 20230, 51107, 54926, 106592, 33334, 53508, 100, 62004, 78434, 29295, 5486, 58805, 15682, 5486, 49, 33809, 45923, 102803, 110590, 1691, 13, 19, 13, 16, 10110, 76739, 114483, 107610, 102803, 78525, 123218, 16144, 126513, 1691, 10208, 17, 7705, 30512, 38129, 39926, 5486, 64810, 123283, 37823, 103906, 108134, 20230, 61304, 107121, 110731, 1544, 16144, 109606, 30512, 23951, 37656, 121256, 118844, 120577, 114626, 16144, 17, 118821, 45923, 102803, 110590, 15682, 110176, 24273, 19732, 3484, 28359, 32149, 9953, 112772, 37823, 37823, 61398, 84389, 79721, 1811, 110770, 16144, 45923, 102803, 110590, 15682, 1691, 13, 806, 13, 17, 16556, 5486, 76505, 110195, 117816, 37823, 37823, 61398, 84389, 79721, 9174, 33334, 33655, 117714, 45923, 102803, 110590, 16144, 66953, 78767, 78205, 16073, 30512, 114140, 54926, 102052, 5486, 4977, 16556, 58805, 38529, 116700, 125523, 50834, 5486, 9837, 9, 45923, 102803, 110590, 19732, 102741, 112508, 111234, 39880, 9, 60, 47307, 52884, 30512, 114140, 78434, 1811, 38129, 103792, 45923, 102803, 110590, 16144, 66953, 78767, 78205, 16073, 30512, 114140, 56051, 31431, 5486, 51107, 30512, 114140, 56051, 31431, 125545, 1811, 17297, 117083, 58, 353, 51107, 9, 16144, 353, 114140, 9, 60, 103672, 127065, 30512, 107167, 48552, 39926, 5486, 38129, 88367, 26854, 45923, 102803, 110590, 107407, 32149, 104405, 32149, 30512, 353, 114140, 15024, 9, 33541, 9174, 49, 33809, 102741, 112508, 111234, 39880, 30512, 112185, 76171, 71634, 64178, 109768, 100604, 126513, 5486, 58805, 16144, 45923, 102803, 66953, 117697, 115691, 42634, 65575, 122481, 20230, 39880, 122086, 22398, 39926, 72315, 1811, 45923, 102803, 66953, 30512, 46034, 91875, 16556, 76171, 71634, 64178, 54926, 126513, 108948, 110794, 16144, 111134, 106384, 48552, 123218, 30512, 121507, 112990, 5486, 116229, 16556, 107740, 88367, 26854, 110770, 66953, 78767, 78205, 16073, 29295, 52563, 84389, 33541, 1811, 90620, 15024, 5486, 58805, 16144, 115681, 111800, 20834, 108152, 117675, 37823, 103906, 30512, 38129, 54926, 106592, 33334, 53508, 100, 62004, 78434, 113637, 103223, 64178, 15682, 5486, 49, 33809, 102741, 112508, 111234, 39880, 30512, 76171, 71634, 64178, 54926, 121142, 103470, 5486, 45163, 110782, 20230, 45923, 102803, 110590, 16144, 51107, 29295, 119237, 108176, 121142, 103470, 5486, 4977, 30512, 22398, 107391, 16073, 39926, 58805, 105107, 25446, 16144, 51107, 30512, 114140, 78434, 1811, 128001, 128000, 2, 76502, 123307, 76622, 82533, 62004, 126328, 100204, 109709, 5486, 102181, 50834, 107471, 33503, 17663, 64780, 17129, 100204, 62004, 109163, 62004, 61633, 198, 45840, 16144, 51537, 27608, 15682, 76739, 102860, 108744, 9174, 124131, 103927, 4977, 5486, 101426, 103359, 105226, 32307, 37087, 116446, 110589, 32977, 33334, 117876, 9174, 58666, 120044, 71289, 58666, 21105, 243, 123334, 112043, 31431, 105243, 110596, 112622, 30297, 102944, 9174, 37087, 13153, 17620, 30512, 116696, 48552, 39926, 5486, 16, 59739, 20, 11, 931, 35757, 108680, 16144, 90962, 38248, 105, 122842, 9080, 123307, 76622, 82533, 62004, 124905, 16995, 5486, 117816, 99849, 27479, 32149, 15682, 59657, 245, 31431, 74245, 15024, 5486, 60868, 113155, 104612, 16144, 9080, 101427, 246, 71289, 127779, 124863, 59614, 116156, 5486, 111199, 107542, 47884, 62004, 16144, 58850, 113146, 32977, 57903, 79721, 10110, 112672, 5486, 117508, 48915, 101911, 126845, 108267, 21403, 97, 123505, 103378, 120811, 39135, 103171, 64936, 27479, 55031, 113727, 112391, 38144, 9174, 10110, 103087, 22656, 121930, 106613, 111587, 71289, 5486, 109972, 107674, 110366, 16144, 101161, 105, 31431, 86436, 109115, 114172, 102512, 5486, 60632, 112607, 16556, 21405, 102052, 16556, 20230, 47884, 16995, 15024, 33476, 23187, 84389, 29295, 43514, 26854, 100909, 71289, 5486, 863, 40053, 109375, 863, 108295, 40053, 20230, 78459, 71493, 32131, 101182, 102944, 29295, 19967, 121118, 5486, 110596, 18904, 15024, 20230, 67016, 102181, 105898, 47884, 100604, 105933, 100909, 110162, 123505, 37271, 112599, 5486, 120044, 20230, 13177, 9080, 123307, 76622, 82533, 62004, 10646, 15682, 59657, 245, 107462, 107515, 9174, 125764, 53953, 9458, 113136, 120379, 9458, 104654, 108710, 101557, 96, 108048, 33503, 108729, 30512, 17599, 117, 104792, 54926, 118733, 5486, 108608, 103378, 109683, 26854, 102944, 117657, 100909, 19732, 5486, 127779, 45829, 19732, 109683, 15308, 121, 107517, 100990, 123, 16144, 46034, 19967, 31431, 9080, 21418, 76622, 68759, 115592, 19732, 127779, 45829, 16556, 116414, 103296, 58666, 120044, 20230, 114099, 102669, 108608, 108995, 32149, 9174, 103378, 120811, 8107, 106036, 95, 30512, 30358, 101832, 127567, 5486, 101987, 104004, 116245, 29295, 124500, 100472, 33503, 5486, 113727, 24273, 29295, 124500, 100472, 33503, 5486, 59657, 245, 30369, 32149, 110241, 33121, 107515, 1811, 120328, 23039, 43568, 40053, 5486, 105994, 120885, 124500, 30369, 105272, 55031, 33563, 110322, 15682, 118765, 30019, 1811, 9174, 120044, 92877, 33208, 16144, 23, 111017, 29295, 117508, 48915, 101911, 118816, 117952, 115032, 118288, 37271, 9174, 101083, 102052, 89151, 116900, 16144, 108134, 29295, 36117, 95, 115032, 9174, 47260, 44971, 29295, 37656, 102800, 122582, 65299, 102741, 9174, 111800, 52084, 110480, 25129, 32977, 33334, 35330, 16556, 110480, 25129, 104873, 64531, 108608, 15120, 28190, 1811, 103378, 120811, 122582, 37271, 20230, 27704, 117864, 100909, 110034, 1811, 101083, 16144, 863, 40053, 109375, 863, 5486, 53283, 109375, 16144, 102832, 61398, 5486, 100927, 70626, 102181, 116825, 47884, 104533, 50834, 120885, 108948, 35330, 15682, 91774, 119841, 105068, 123470, 105068, 74482, 16556, 120351, 30358, 105352, 91774, 58942, 109669, 124749, 104195, 47884, 117139, 17129, 103836, 9174, 108134, 16144, 20834, 67645, 107404, 15682, 116414, 95532, 21405, 28190, 126194, 112160, 59739, 61826, 126194, 5486, 24186, 30512, 16205, 123, 33121, 127211, 24186, 126636, 24186, 16144, 100909, 5486, 110219, 116446, 127567, 17620, 124403, 108995, 1811, 86127, 120885, 53283, 100472, 15682, 30320, 115, 58911, 112028, 64936, 5486, 103378, 120811, 77693, 17663, 33503, 89151, 103350, 26854, 104865, 15682, 13357, 229, 107809, 9174, 10110, 76739, 91482, 68408, 107446, 108048, 33503, 120885, 17792, 101399, 112535, 19967, 106824, 114732, 1811, 103087, 35330, 48634, 71289, 110886, 48634, 29295, 30591, 104984, 1811, 17129, 108861, 108048, 16995, 100472, 33503, 105156, 82420, 120885, 39135, 103171, 91763, 115461, 30512, 118544, 105352, 77693, 108005, 121, 16995, 111134, 52591, 16144, 105665, 20230, 125062, 39926, 125053, 103082, 38144, 114732, 1811, 110904, 25129, 15682, 11571, 122282, 41007, 15682, 11571, 26854, 112371, 58426, 117232, 11571, 43511, 19732, 57106, 115694, 11571, 80673, 53283, 109375, 100604, 17620, 102212, 114016, 122270, 122270, 13357, 229, 16144, 26854, 32149, 123505, 105242, 17161, 9458, 102473, 16144, 91774, 119841, 20834, 103087, 30046, 5486, 102473, 120885, 33334, 35330, 32977, 82973, 32977, 32149, 117295, 1811, 66776, 40474, 26854, 108680, 20230, 103087, 22656, 121930, 1811, 89151, 103350, 15682, 19732, 111243, 91774, 58942, 109669, 110706, 1811, 29504, 105755, 112424, 105755, 103350, 105284, 104195, 27929, 26854, 43240, 29504, 108847, 114435, 9174, 77693, 33503, 104088, 113487, 47884, 125231, 116497, 16144, 74245, 99750, 15682, 5486, 115303, 59739, 103378, 30512, 37656, 50338, 19732, 103646, 19524, 104378, 863, 112031, 5486, 36785, 33121, 111201, 19732, 76947, 72368, 40862, 114652, 19967, 109115, 863, 40053, 109375, 863, 112031, 5486, 109683, 55031, 106627, 33121, 120195, 28713, 102456, 104654, 16556, 27552, 229, 112586, 27552, 229, 76947, 114604, 9174, 10110, 37271, 16144, 104378, 114318, 111243, 863, 17129, 100204, 62004, 863, 20230, 89151, 20230, 101682, 76622, 101732, 33503, 5486, 17129, 100204, 62004, 26854, 17792, 108680, 102625, 20230, 121771, 109020, 104468, 114318, 111243, 40265, 115926, 25580, 26854, 100909, 26854, 95221, 32977, 54926, 123505, 103378, 120811, 127880, 123120, 71289, 122225, 75146, 107253, 120885, 102131, 1811, 20251, 68759, 20251, 29295, 58666, 120044, 103732, 16995, 19732, 104655, 50834, 5486, 20251, 68759, 20251, 29295, 120111, 110276, 9174, 108134, 30512, 5486, 125764, 100934, 9174, 10110, 102212, 21990, 109904, 99750, 112854, 15682, 116414, 102416, 198, 87177, 15682, 67645, 124592, 127842, 89753, 33121, 100481, 47884, 9174, 16, 107707, 102321, 31640, 111482, 103306, 5486, 50834, 33121, 16995, 26854, 120044, 30512, 33563, 43514, 106956, 19732, 9080, 123307, 76622, 82533, 62004, 109853, 39880, 44971, 47260, 44971, 104873, 115694, 17792, 33014, 103350, 111186, 30019, 9174, 30019, 9174, 13177, 9080, 21418, 76622, 66383, 95604, 126067, 15682, 108064, 55031, 105693, 95532, 91763, 30297, 20230, 50834, 104043, 122582, 5486, 88399, 239, 16995, 101402, 107873, 101426, 19732, 114516, 29295, 102334, 119400, 55031, 1811, 104149, 16144, 30591, 28713, 28713, 107188, 9080, 104364, 15024, 15682, 75293, 43514, 118220, 29295, 104028, 123682, 32977, 5486, 66285, 120, 107969, 101402, 107873, 15682, 120044, 30512, 76428, 37823, 76428, 37823, 9174, 102491, 31640, 113146, 9174, 9080, 104364, 119432, 104195, 16995, 9080, 102052, 111398, 76505, 16144, 17297, 71289, 113312, 91739, 253, 107809, 29295, 16556, 9080, 21418, 76622, 30512, 39926, 96311, 120, 30512, 50928, 101732, 104468, 114093, 17620, 20230, 113727, 110071, 9174, 101538, 103826, 71289, 112607, 48634, 112919, 103892, 17905, 20230, 9080, 101427, 246, 120950, 102944, 30512, 46729, 37507, 106046, 21105, 235, 114754, 30813, 103792, 102491, 31640, 76739, 76428, 57326, 20251, 71289, 102491, 16995, 59795, 16144, 121995, 32977, 57903, 79721, 9174, 39880, 52591, 109896, 16144, 19732, 101182, 104091, 71869, 16144, 111482, 15682, 103892, 34048, 19732, 111199, 16995, 52927, 16556, 117633, 16995, 5486, 45829, 67645, 32977, 15682, 9080, 21418, 76622, 16144, 113009, 104328, 107106, 28713, 25827, 16144, 108768, 33710, 39850, 67075, 19732, 119147, 124905, 30297, 105272, 110162, 9174, 127177, 121593, 72661, 119147, 71289, 109657, 74090, 5486, 102465, 118954, 30512, 33014, 20230, 59657, 245, 30369, 106581, 29295, 91774, 110071, 104468, 50834, 104043, 5486, 120843, 78256, 254, 30590, 115351, 16556, 104195, 16995, 9080, 104364, 67016, 33503, 111098, 105784, 115552, 40862, 16995, 122291, 116497, 9174, 19361, 13372, 26854, 110229, 77181, 5486, 111199, 16995, 52927, 16556, 115499, 109972, 30297, 107461, 106901, 52884, 110162, 107461, 68759, 64178, 5486, 78683, 71493, 52884, 19732, 127173, 104028, 102944, 10110, 58426, 30590, 77181, 107461, 106901, 52884, 29295, 92979, 2099, 1691, 110162, 72661, 105525, 107462, 104533, 32149, 75376, 39880, 96841, 105, 78683, 105335, 113883, 112193, 71493, 32977, 19361, 13372, 5486, 88399, 239, 16995, 105140, 16144, 9080, 102052, 89151, 104409, 56051, 47884, 109020, 1811, 9080, 123307, 76622, 82533, 62004, 110214, 16556, 120044, 71289, 76622, 26854, 102131, 30019, 9174, 67016, 21105, 241, 33121, 33503, 15682, 58666, 120044, 102677, 105755, 5486, 104195, 120195, 30369, 9080, 104364, 67016, 33503, 120044, 30512, 13177, 106154, 30369, 10646, 115552, 113245, 33655, 123671, 24273, 36785, 5486, 112169, 34171, 1981, 10110, 9080, 104364, 15024, 112294, 16995, 49409, 104959, 50667, 77181, 108895, 95604, 106581, 15682, 102404, 104067, 72342, 101860, 20230, 5486, 116900, 20230, 9080, 102867, 82973, 29295, 106649, 16995, 19732, 108882, 110993, 112535, 9080, 101426, 118959, 54926, 106581, 29295, 21990, 17129, 103468, 31431, 108149, 108861, 5486, 57326, 112718, 32977, 43514, 85791, 25827, 106699, 100927, 109904, 114667, 32977, 77693, 108422, 33121, 101182, 32149, 32977, 119627, 123505, 87177, 29295, 101860, 33121, 120195, 5486, 109163, 120195, 119627, 5486, 100818, 234, 45893, 23951, 37656, 32977, 72342, 101860, 9080, 123307, 76622, 82533, 62004, 114556, 39926, 91763, 30297, 15682, 10110, 80673, 99849, 30926, 32977, 115303, 118821, 106592, 102987, 45144, 222, 31431, 105104, 32149, 109416, 31431, 126693, 5486, 112424, 110886, 5486, 106699, 100927, 115981, 48864, 5486, 97518, 78183, 30369, 109335, 43240, 58699, 238, 20230, 110968, 30369, 16144, 111769, 36785, 85791, 32149, 1811, 102321, 31640, 106222, 5486, 116414, 20230, 120885, 102717, 109416, 15722, 103, 101182, 55031, 123505, 46729, 10110, 127960, 7705, 29295, 102780, 16144, 119870, 64121, 75267, 126758, 108680, 118448, 33121, 20230, 118448, 106824, 103553, 102, 127258, 111352, 25580, 26854, 110115, 5486, 107943, 118448, 33121, 28873, 38144, 28713, 104612, 33710, 20230, 108901, 26274, 255, 125210, 30297, 103621, 101198, 102571, 121536, 107809, 5486, 108031, 111017, 106824, 27552, 229, 100472, 117785, 107809, 16144, 115364, 58666, 21105, 243, 122416, 95221, 116446, 30369, 115226, 26854, 198, 107943, 99750, 112854, 29295, 17663, 22957, 15024, 5486, 45951, 121, 21990, 107800, 55031, 38641, 9174, 10110, 80673, 122571, 114652, 117785, 30512, 64121, 38144, 110783, 71493, 47307, 78459, 30512, 95221, 20230, 103792, 1811, 91774, 28713, 30832, 32977, 33334, 116826, 33121, 32977, 77693, 26854, 112586, 22957, 36785, 78183, 30369, 16144, 120111, 1811, 117501, 16144, 115789, 5486, 95221, 20230, 21105, 103, 16995, 95221, 109669, 126660, 105494, 15682, 127181, 116497, 1811, 99959, 112193, 105335, 108506, 65575, 107118, 127880, 100909, 32149, 110241, 33121, 107515, 123505, 863, 108936, 112535, 863, 5486, 863, 127960, 20230, 104622, 102800, 863, 112031, 110731, 100909, 17663, 33503, 104584, 50834, 50520, 108, 109013, 33503, 5486, 37087, 61994, 104622, 106624, 100604, 115789, 101182, 120266, 31374, 243, 61994, 109900, 17663, 33503, 60632, 112607, 106391, 67178, 107809, 20230, 103214, 64121, 104526, 123606, 101732, 1811, 40053, 109375, 19732, 37656, 21105, 243, 16556, 47884, 32977, 100472, 30832, 77181, 5486, 108064, 103296, 28713, 114598, 127960, 30512, 21980, 248, 17663, 9174, 39880, 57207, 47307, 71493, 15682, 13177, 27552, 229, 31431, 26854, 50834, 102701, 16556, 91774, 23187, 62004, 5486, 104662, 109315, 66383, 16995, 100472, 123682, 117119, 30512, 27552, 229, 107462, 104533, 23187, 104577, 54926, 11571, 13177, 27552, 229, 31431, 26854, 50834, 66383, 78244, 103836, 39177, 28542, 16556, 122582, 5486, 114516, 66378, 19361, 16144, 23187, 104577, 109669, 76622, 9458, 40053, 109375, 122382 ]
[ 16144, 119318, 16325, 55031, 20834, 100604, 105879, 100604, 32149, 1811, 37656, 21105, 243, 16144, 75146, 107253, 29295, 108010, 30297, 121142, 108048, 17663, 33503, 114516, 29295, 19967, 100472, 102944, 77181, 1811, 40053, 109375, 16556, 5486, 23187, 104577, 16556, 13177, 37656, 102800, 66383, 110731, 100909, 17663, 33503, 5486, 112832, 116421, 60632, 105576, 91763, 115461, 16995, 124387, 26854, 115789, 105693, 31431, 104435, 31431, 198, 123726, 30369, 110115, 110526, 71289, 105465, 21105, 243, 15682, 109215, 9174, 13177, 60632, 101923, 112535, 123726, 30369, 10646, 77693, 17663, 33503, 19732, 111243, 5486, 112027, 103306, 118958, 48634, 107407, 100909, 26854, 104865, 121061, 9174, 103001, 228, 50834, 116292, 21105, 123, 123726, 30369, 32977, 53900, 5486, 112027, 103306, 15682, 108010, 30297, 119150, 9174, 64780, 64780, 64780, 30591, 19732, 5486, 108008, 20230, 107693, 26854, 109335, 106609, 64780, 64780, 104004, 15024, 85791, 22656, 63212, 22957, 120240, 32351, 198, 52118, 9080, 123307, 76622, 82533, 62004, 96452, 57207, 16556, 102456, 30926, 71289, 111006, 16144, 106548, 103214, 64121, 30512, 17905, 46034, 47884, 33655, 76947, 10110, 11571, 7705, 58666, 102800, 24273, 30512, 53283, 100472, 115789, 101182, 55031, 122262, 86894, 241, 124863, 117475, 5486, 36785, 16995, 104369, 111654, 21105, 103, 115737, 100472, 15024, 5486, 124402, 16556, 43955, 53953, 127181, 104468, 58666, 103868, 106624, 100604, 19732, 27384, 33014, 112391, 30369, 101200, 115717, 79721, 9174, 58666, 21105, 243, 30512, 101790, 99, 109013, 113334, 126194, 28190, 63105, 113, 16995, 124387, 5486, 112169, 108436, 109033, 6447, 116414, 103296, 115303, 31431, 17792, 33014, 103350, 111186, 108608, 108995, 32149, 5486, 108608, 127960, 16556, 5486, 106222, 127303, 76947, 102717, 102800, 9174, 37087, 61994, 51107, 39926, 100604, 110115, 5486, 98499, 104127, 108112, 30813, 30369, 24273, 29295, 102532, 85777, 106956, 26854, 108861, 106046, 61689, 9174, 27384, 112495, 120266, 113727, 30512, 116348, 117063, 30369, 122416, 72661, 106548, 24273, 100604, 9174, 10110, 51330, 83125, 117119, 78244, 102334, 118544, 32977, 17620, 124403, 1811, 100543, 249, 16555, 122, 105360, 45277, 61304, 23954, 103378, 120811, 9080, 104680, 30512, 17792, 21990, 30512, 126407, 104004, 100909, 9174, 58426, 16325, 16556, 108608, 106592, 109768, 47884, 100909, 9174, 101083, 102052, 72238, 114737, 26854, 17792, 32977, 107991, 105272, 26854, 108861, 106046, 61689, 9174, 120264, 5486, 109163, 16995, 110229, 15682, 43568, 103984, 54926, 126194, 112160, 27479, 15682, 74245, 103984, 54926, 32977, 198, 103378, 120811, 117430, 105459, 119775, 5486, 31958, 30369, 16995, 24273, 124259, 70141, 126469, 123726, 100481, 105898, 16995, 26854, 108861, 106046, 61689, 1811, 128001, 128000, 14711, 113442, 68581, 25197, 96452, 112997, 29220, 111363, 117271, 19732, 59795, 106613, 111587, 16144, 37271, 123470, 91875, 70141, 16, 198, 81191, 20713, 25963, 8107, 68093, 9953, 20713, 20713, 9080, 96555, 68093, 13, 20713, 20713, 20230, 119522, 34273, 96, 120328, 102687, 15682, 117727, 20230, 29504, 19361, 33208, 84389, 79721, 1811, 105180, 105212, 15682, 5486, 32977, 107173, 19732, 117409, 16144, 108761, 74090, 5486, 123746, 102057, 226, 72099, 36651, 15568, 226, 117083, 86127, 19361, 30590, 16144, 102687, 30512, 29504, 19361, 33208, 56051, 103378, 16144, 87177, 16556, 5486, 104004, 15024, 85791, 9080, 16325, 109606, 30512, 23226, 106594, 54926, 113009, 19732, 100472, 123120, 16556, 56051, 1811, 220, 77693, 29295, 59795, 16556, 103926, 29504, 30512, 105424, 104369, 59795, 107707, 102987, 106145, 26854, 110665, 91875, 30512, 113801, 125119, 17663, 113385, 121711, 79721, 1811, 116056, 110665, 91875, 15682, 115515, 103296, 16144, 95543, 9080, 68408, 102494, 16144, 110665, 91875, 107118, 125261, 101983, 110104, 108680, 27384, 106045, 54872, 16556, 5486, 105838, 127696, 71289, 110665, 23039, 5486, 105150, 127258, 104309, 57933, 42634, 23039, 101399, 20230, 60358, 16995, 102944, 16556, 56051, 1811, 113204, 112, 91875, 123470, 101307, 104698, 15682, 15120, 108323, 77181, 78250, 27113, 117913, 35757, 20230, 16144, 109416, 31431, 106116, 83812, 254, 101268, 253, 32977, 102717, 19732, 124592, 43568, 16995, 16325, 108149, 33503, 103846, 38144, 102321, 30590, 16144, 9080, 39276, 114435, 15682, 109933, 25197, 96452, 112997, 29220, 30512, 78698, 105262, 126521, 120273, 101513, 121711, 79721, 1811, 220, 101182, 113949, 16144, 68408, 102494, 102052, 5486, 119642, 113112, 101544, 71289, 101513, 91875, 104542, 16144, 114516, 29295, 107960, 100204, 76947, 5486, 110665, 91875, 30512, 15355, 229, 91875, 107113, 102677, 87177, 115991, 120953, 71289, 33503, 105212, 36668, 106839, 16144, 102078, 105107, 68408, 102494, 16144, 107750, 16995, 32977, 57903, 33541, 1811, 105180, 16144, 33563, 106154, 39276, 118823, 16144, 91875, 55723, 116229, 16556, 5486, 59795, 16144, 106613, 111587, 105150, 100990, 119, 111848, 109933, 25197, 96452, 112997, 29220, 16144, 102987, 106145, 30813, 29295, 119448, 47884, 83601, 100, 108044, 84389, 5486, 59795, 117758, 125844, 56906, 29295, 71174, 45736, 20230, 105424, 81219, 106824, 61689, 1811, 109933, 25197, 96452, 112997, 29220, 107118, 5486, 103087, 22656, 121930, 109904, 106613, 111587, 123604, 16556, 102404, 77413, 54926, 59795, 29295, 5486, 103350, 15682, 121302, 106444, 16556, 103470, 112160, 104478, 106063, 114940, 16144, 55999, 106518, 121930, 16144, 75513, 112607, 112212, 105156, 71005, 110731, 100543, 249, 16555, 122, 55031, 21990, 100204, 30369, 103826, 104680, 26854, 106613, 111587, 5486, 110886, 17905, 16144, 109606, 30512, 115552, 78434, 1811, 116564, 71289, 55999, 106518, 121930, 109904, 116254, 90397, 233, 16144, 106222, 121930, 106444, 15682, 5486, 123283, 112164, 71289, 49409, 103293, 121200, 102083, 100472, 48154, 47884, 15120, 34048, 16144, 29504, 20230, 67016, 108618, 76947, 33334, 121140, 5486, 102717, 19732, 124592, 16144, 29504, 29295, 103087, 22656, 121930, 16144, 106222, 123141, 102416, 60634, 23039, 127145, 1811, 107637, 32977, 27452, 48915, 126194, 5486, 55999, 106518, 121930, 16144, 110886, 30512, 84851, 103130, 54926, 75513, 112607, 119627, 5486, 110219, 16144, 121302, 106444, 126036, 122270, 103188, 106266, 26854, 103087, 22656, 121930, 5486, 114300, 106106, 121930, 30512, 84851, 103130, 127145, 1811, 220, 77693, 106644, 58942, 5486, 121302, 9554, 16556, 100604, 100543, 249, 16555, 122, 56051, 103087, 22656, 121930, 30512, 104862, 82317, 54926, 59795, 77181, 5486, 103826, 104680, 26854, 102987, 106145, 26854, 109606, 29295, 125119, 76947, 61689, 1811, 109517, 100, 105469, 16144, 104364, 113115, 54926, 11795, 114, 70821, 16144, 113799, 31431, 71289, 110665, 91875, 32977, 58426, 15120, 59739, 38641, 1811, 220, 80539, 106116, 110665, 91875, 71289, 68408, 102494, 19732, 95543, 117073, 91062, 109229, 73590, 29295, 50034, 115590, 20230, 57207, 16073, 110305, 39926, 115515, 18904, 16144, 110665, 91875, 105522, 240, 105557, 20230, 102404, 77413, 127145, 1811, 121655, 107173, 19732, 59795, 16144, 55999, 106518, 104478, 75513, 112607, 15682, 5486, 46456, 100823, 30926, 104721, 16144, 119400, 16144, 102433, 71289, 29504, 70821, 104478, 110792, 102669, 119178, 104284, 43514, 113487, 102532, 16325, 105189, 118514, 30512, 26892, 29504, 56051, 114172, 102512, 115991, 33541, 1811, 50534, 99, 74482, 5486, 29504, 70821, 104478, 15682, 55038, 112827, 20230, 110074, 102639, 38144, 33420, 121143, 56051, 103846, 115515, 77181, 95543, 117073, 102669, 16995, 116771, 29295, 59795, 26892, 125525, 53229, 28542, 104856, 76947, 61689, 109807, 110322, 26955, 254, 20230, 59795, 16144, 29504, 104261, 102052, 116898, 112185, 20230, 114737, 30512, 71289, 42891, 126268, 85791, 102677, 112442, 17129, 102800, 112690, 29295, 108618, 76947, 61689, 29295, 106116, 114737, 107118, 17129, 30813, 20230, 102669, 123628, 46456, 100823, 30926, 104721, 16144, 119400, 16144, 102433, 30512, 115552, 78434, 1811, 128001, 128000, 101918, 30512, 56438, 54926, 105908, 108936, 9554, 115287, 113146, 107118, 121953, 115515, 71289, 71493, 38248, 115, 78349, 39880, 71289, 101918, 16144, 60868, 52884, 115592, 29295, 126909, 30512, 43167, 107436, 61689, 9174, 80673, 5486, 67645, 112384, 30512, 102647, 104369, 103854, 112495, 104865, 109440, 76947, 114732, 17792, 32977, 127181, 118733, 109954, 9174, 51330, 77219, 77181, 5486, 71493, 38248, 115, 78349, 39880, 19732, 101918, 16144, 60868, 52884, 115592, 77693, 108422, 33121, 16144, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 109853, 50338, 108323, 15024, 5486, 102647, 104369, 104983, 16144, 125261, 75146, 107253, 117282, 120098, 30512, 126362, 78434, 9174, 30591, 112568, 125030, 76947, 32335, 109431, 26854, 121507, 57942, 95, 104088, 59739, 105784, 113009, 5486, 112371, 104328, 121846, 116446, 64121, 38144, 72315, 9174, 567, 34676, 101918, 16144, 109198, 17701, 15682, 108031, 102491, 16995, 11571, 71493, 38248, 115, 78349, 39880, 120740, 101918, 16144, 60868, 52884, 115592, 29295, 126909, 112479, 85701, 117758, 101918, 16144, 110498, 31431, 24273, 30512, 78698, 107800, 104983, 5486, 71493, 38248, 115, 78349, 39880, 117657, 32149, 101918, 16144, 60868, 52884, 115592, 30512, 107740, 54926, 32149, 109440, 30297, 110229, 38641, 123794, 9174, 117382, 17129, 77181, 101918, 20230, 110498, 30369, 102083, 116285, 107691, 30297, 112973, 108936, 9554, 16556, 56051, 119520, 111476, 118899, 15682, 71493, 38248, 115, 78349, 39880, 71289, 101918, 16144, 60868, 52884, 115592, 17792, 116499, 105047, 115079, 127145, 9174, 35417, 105576, 112686, 108638, 122491, 109060, 76739, 47260, 42634, 76428, 11972, 9458, 102494, 91482, 37823, 103906, 112686, 108638, 103732, 104533, 5486, 2366, 15, 116358, 102433, 16144, 71493, 38248, 115, 78349, 39880, 101918, 110176, 55038, 9039, 15682, 103664, 19, 32307, 55038, 16556, 38093, 102351, 9039, 15682, 1049, 32307, 17792, 19732, 125053, 116216, 61689, 9174, 605, 8107, 123628, 679, 15, 116358, 101918, 110176, 55038, 9039, 15682, 16, 11, 3101, 55038, 5486, 38093, 102351, 9039, 16, 13, 22, 32307, 17792, 103351, 106592, 113727, 104533, 5486, 31958, 33503, 111201, 106222, 20230, 27699, 116, 108950, 39926, 50834, 127280, 123794, 9174, 53900, 5486, 101918, 16144, 60868, 52884, 115592, 125175, 107809, 72661, 126909, 16144, 13177, 42, 3301, 46, 117503, 120273, 27869, 94537, 9039, 15682, 5486, 2366, 17, 8107, 806, 9953, 106968, 39177, 28542, 16556, 116011, 82420, 20, 13, 17, 32307, 14558, 20230, 28037, 104067, 121256, 9174, 679, 24, 116033, 125175, 30512, 111671, 55031, 2366, 16, 8107, 106968, 39177, 28542, 103296, 16144, 120273, 27869, 94537, 9039, 15682, 18, 32307, 14558, 16556, 56051, 105879, 110371, 9039, 113746, 16556, 17, 13, 17, 32307, 14558, 32977, 115079, 21601, 56051, 100909, 115717, 33541, 9174, 51330, 104466, 5486, 101918, 20230, 110498, 30369, 121507, 57942, 95, 15682, 109198, 17701, 103378, 77181, 123733, 76947, 61689, 9174, 71493, 38248, 115, 78349, 39880, 71289, 101918, 16144, 60868, 52884, 115592, 15682, 37271, 74482, 33541, 33541, 108936, 33208, 109768, 47884, 105908, 103911, 101067, 107001, 105879, 115515, 117591, 55031, 106081, 39926, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 110382, 126328, 71493, 38248, 115, 78349, 39880, 19732, 101918, 16144, 60868, 52884, 115592, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 5486, 118789, 109904, 107740, 41007, 30512, 50338, 108323, 109768, 50834, 33541, 1811, 105994, 102052, 67645, 120240, 29295, 40862, 103836, 32149, 25197, 126989, 21105, 103, 29295, 33503, 125261, 39926, 64121, 38144, 72315, 9174, 567, 34676, 71493, 38248, 115, 78349, 39880, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 112479, 71493, 38248, 115, 78349, 39880, 19732, 101918, 16144, 60868, 52884, 115592, 30512, 125261, 54926, 20230, 30591, 115926, 5486, 126843, 15682, 71493, 38248, 115, 78349, 39880, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 109853, 50338, 108323, 78434, 9174, 14711, 63415, 71493, 38248, 115, 78349, 39880, 16144, 39850, 37823, 67075, 198, 71493, 38248, 115, 78349, 39880, 102052, 88852, 120950, 39850, 37823, 67075, 115991, 33541, 9174, 71493, 38248, 115, 78349, 39880, 30512, 107740, 54926, 118733, 5486, 85707, 23538, 106382, 11883, 29295, 51385, 47884, 5486, 39850, 108304, 96452, 107446, 71289, 23951, 22649, 106382, 11883, 29295, 113473, 108176, 103846, 5486, 101918, 30512, 56438, 54926, 120266, 57106, 115694, 106382, 11883, 29295, 126128, 58942, 102204, 33541, 9174, 53900, 5486, 109215, 26854, 39177, 103378, 101918, 30512, 107740, 54926, 105908, 108608, 103846, 5486, 43568, 102147, 226, 26854, 33563, 19361, 105352, 26854, 31431, 107515, 9174, 122270, 5486, 71493, 38248, 115, 78349, 39880, 30512, 107740, 54926, 118733, 5486, 102472, 102741, 107805, 31640, 71289, 126202, 101918, 75267, 31640, 30512, 95221, 117657, 109215, 29295, 103470, 5486, 111999, 47307, 71493, 38248, 230, 31431, 32977, 102924, 60632, 38641, 9174, 107740, 32977, 120999, 32977, 1187, 82973, 53901, 112495, 110018, 20230, 88367, 1811, 53901, 112495, 110229, 16556, 110498, 104028, 105879, 5486, 105047, 26854, 11883, 30926, 71289, 120523, 61826, 113245, 127284, 46034, 38574, 103306, 32977, 30358, 104734, 78434, 9174, 14711, 63415, 71493, 38248, 115, 78349, 39880, 16144, 68408, 39850, 37823, 67075, 198, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 102052, 88852, 120950, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 9174, 107740, 82973, 29295, 48249, 125398, 100909, 112212, 5486, 71634, 108744, 30512, 112391, 30369, 109335, 101182, 123253, 118855, 5486, 120999, 71289, 46034, 106307, 50834, 16144, 46034, 56965, 107407, 103846, 5486, 107740, 54926, 104983, 20230, 16995, 43514, 16995, 43514, 89783, 17620, 26854, 82973, 71289, 46034, 56965, 29295, 32149, 107277, 33541, 9174, 122270, 5486, 101918, 104091, 71289, 90962, 57326, 104272, 16144, 121507, 57942, 95, 29295, 48249, 125398, 103846, 5486, 115364, 53901, 64121, 20230, 40862, 100472, 101918, 30512, 102647, 104369, 109335, 103082, 107515, 9174, 20251, 32131, 112193, 39177, 102052, 117271, 29295, 111108, 102800, 123017, 68408, 39850, 37823, 67075, 20230, 123680, 102639, 102204, 33541, 1811, 71493, 38248, 115, 78349, 39880, 108695, 20230, 89046, 117139, 120837, 5486, 114225, 113115, 106608, 118765, 82973, 115351, 32977, 101182, 103846, 5486, 107740, 30046, 116907, 16556, 109606, 30512, 50338, 104662, 21105, 103, 16995, 102083, 124324, 104468, 27384, 104721, 38641, 123794, 9174, 111999, 47307, 107487, 119775, 58426, 72368, 27479, 39850, 108304, 96452, 107446, 107001, 102944, 111769, 105879, 5486, 108703, 31431, 28713, 101918, 29295, 21980, 248, 33121, 101732, 19732, 112844, 71174, 32977, 1811, 101918, 29295, 102040, 78525, 44971, 118816, 72342, 42891, 32149, 119064, 45923, 102803, 52884, 32977, 105465, 106624, 123733, 76947, 103801, 61689, 9174, 125175, 113468, 15682, 107740, 42506, 35330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16144, 119318, 16325, 55031, 20834, 100604, 105879, 100604, 32149, 1811, 37656, 21105, 243, 16144, 75146, 107253, 29295, 108010, 30297, 121142, 108048, 17663, 33503, 114516, 29295, 19967, 100472, 102944, 77181, 1811, 40053, 109375, 16556, 5486, 23187, 104577, 16556, 13177, 37656, 102800, 66383, 110731, 100909, 17663, 33503, 5486, 112832, 116421, 60632, 105576, 91763, 115461, 16995, 124387, 26854, 115789, 105693, 31431, 104435, 31431, 198, 123726, 30369, 110115, 110526, 71289, 105465, 21105, 243, 15682, 109215, 9174, 13177, 60632, 101923, 112535, 123726, 30369, 10646, 77693, 17663, 33503, 19732, 111243, 5486, 112027, 103306, 118958, 48634, 107407, 100909, 26854, 104865, 121061, 9174, 103001, 228, 50834, 116292, 21105, 123, 123726, 30369, 32977, 53900, 5486, 112027, 103306, 15682, 108010, 30297, 119150, 9174, 64780, 64780, 64780, 30591, 19732, 5486, 108008, 20230, 107693, 26854, 109335, 106609, 64780, 64780, 104004, 15024, 85791, 22656, 63212, 22957, 120240, 32351, 198, 52118, 9080, 123307, 76622, 82533, 62004, 96452, 57207, 16556, 102456, 30926, 71289, 111006, 16144, 106548, 103214, 64121, 30512, 17905, 46034, 47884, 33655, 76947, 10110, 11571, 7705, 58666, 102800, 24273, 30512, 53283, 100472, 115789, 101182, 55031, 122262, 86894, 241, 124863, 117475, 5486, 36785, 16995, 104369, 111654, 21105, 103, 115737, 100472, 15024, 5486, 124402, 16556, 43955, 53953, 127181, 104468, 58666, 103868, 106624, 100604, 19732, 27384, 33014, 112391, 30369, 101200, 115717, 79721, 9174, 58666, 21105, 243, 30512, 101790, 99, 109013, 113334, 126194, 28190, 63105, 113, 16995, 124387, 5486, 112169, 108436, 109033, 6447, 116414, 103296, 115303, 31431, 17792, 33014, 103350, 111186, 108608, 108995, 32149, 5486, 108608, 127960, 16556, 5486, 106222, 127303, 76947, 102717, 102800, 9174, 37087, 61994, 51107, 39926, 100604, 110115, 5486, 98499, 104127, 108112, 30813, 30369, 24273, 29295, 102532, 85777, 106956, 26854, 108861, 106046, 61689, 9174, 27384, 112495, 120266, 113727, 30512, 116348, 117063, 30369, 122416, 72661, 106548, 24273, 100604, 9174, 10110, 51330, 83125, 117119, 78244, 102334, 118544, 32977, 17620, 124403, 1811, 100543, 249, 16555, 122, 105360, 45277, 61304, 23954, 103378, 120811, 9080, 104680, 30512, 17792, 21990, 30512, 126407, 104004, 100909, 9174, 58426, 16325, 16556, 108608, 106592, 109768, 47884, 100909, 9174, 101083, 102052, 72238, 114737, 26854, 17792, 32977, 107991, 105272, 26854, 108861, 106046, 61689, 9174, 120264, 5486, 109163, 16995, 110229, 15682, 43568, 103984, 54926, 126194, 112160, 27479, 15682, 74245, 103984, 54926, 32977, 198, 103378, 120811, 117430, 105459, 119775, 5486, 31958, 30369, 16995, 24273, 124259, 70141, 126469, 123726, 100481, 105898, 16995, 26854, 108861, 106046, 61689, 1811, 128001, 128000, 14711, 113442, 68581, 25197, 96452, 112997, 29220, 111363, 117271, 19732, 59795, 106613, 111587, 16144, 37271, 123470, 91875, 70141, 16, 198, 81191, 20713, 25963, 8107, 68093, 9953, 20713, 20713, 9080, 96555, 68093, 13, 20713, 20713, 20230, 119522, 34273, 96, 120328, 102687, 15682, 117727, 20230, 29504, 19361, 33208, 84389, 79721, 1811, 105180, 105212, 15682, 5486, 32977, 107173, 19732, 117409, 16144, 108761, 74090, 5486, 123746, 102057, 226, 72099, 36651, 15568, 226, 117083, 86127, 19361, 30590, 16144, 102687, 30512, 29504, 19361, 33208, 56051, 103378, 16144, 87177, 16556, 5486, 104004, 15024, 85791, 9080, 16325, 109606, 30512, 23226, 106594, 54926, 113009, 19732, 100472, 123120, 16556, 56051, 1811, 220, 77693, 29295, 59795, 16556, 103926, 29504, 30512, 105424, 104369, 59795, 107707, 102987, 106145, 26854, 110665, 91875, 30512, 113801, 125119, 17663, 113385, 121711, 79721, 1811, 116056, 110665, 91875, 15682, 115515, 103296, 16144, 95543, 9080, 68408, 102494, 16144, 110665, 91875, 107118, 125261, 101983, 110104, 108680, 27384, 106045, 54872, 16556, 5486, 105838, 127696, 71289, 110665, 23039, 5486, 105150, 127258, 104309, 57933, 42634, 23039, 101399, 20230, 60358, 16995, 102944, 16556, 56051, 1811, 113204, 112, 91875, 123470, 101307, 104698, 15682, 15120, 108323, 77181, 78250, 27113, 117913, 35757, 20230, 16144, 109416, 31431, 106116, 83812, 254, 101268, 253, 32977, 102717, 19732, 124592, 43568, 16995, 16325, 108149, 33503, 103846, 38144, 102321, 30590, 16144, 9080, 39276, 114435, 15682, 109933, 25197, 96452, 112997, 29220, 30512, 78698, 105262, 126521, 120273, 101513, 121711, 79721, 1811, 220, 101182, 113949, 16144, 68408, 102494, 102052, 5486, 119642, 113112, 101544, 71289, 101513, 91875, 104542, 16144, 114516, 29295, 107960, 100204, 76947, 5486, 110665, 91875, 30512, 15355, 229, 91875, 107113, 102677, 87177, 115991, 120953, 71289, 33503, 105212, 36668, 106839, 16144, 102078, 105107, 68408, 102494, 16144, 107750, 16995, 32977, 57903, 33541, 1811, 105180, 16144, 33563, 106154, 39276, 118823, 16144, 91875, 55723, 116229, 16556, 5486, 59795, 16144, 106613, 111587, 105150, 100990, 119, 111848, 109933, 25197, 96452, 112997, 29220, 16144, 102987, 106145, 30813, 29295, 119448, 47884, 83601, 100, 108044, 84389, 5486, 59795, 117758, 125844, 56906, 29295, 71174, 45736, 20230, 105424, 81219, 106824, 61689, 1811, 109933, 25197, 96452, 112997, 29220, 107118, 5486, 103087, 22656, 121930, 109904, 106613, 111587, 123604, 16556, 102404, 77413, 54926, 59795, 29295, 5486, 103350, 15682, 121302, 106444, 16556, 103470, 112160, 104478, 106063, 114940, 16144, 55999, 106518, 121930, 16144, 75513, 112607, 112212, 105156, 71005, 110731, 100543, 249, 16555, 122, 55031, 21990, 100204, 30369, 103826, 104680, 26854, 106613, 111587, 5486, 110886, 17905, 16144, 109606, 30512, 115552, 78434, 1811, 116564, 71289, 55999, 106518, 121930, 109904, 116254, 90397, 233, 16144, 106222, 121930, 106444, 15682, 5486, 123283, 112164, 71289, 49409, 103293, 121200, 102083, 100472, 48154, 47884, 15120, 34048, 16144, 29504, 20230, 67016, 108618, 76947, 33334, 121140, 5486, 102717, 19732, 124592, 16144, 29504, 29295, 103087, 22656, 121930, 16144, 106222, 123141, 102416, 60634, 23039, 127145, 1811, 107637, 32977, 27452, 48915, 126194, 5486, 55999, 106518, 121930, 16144, 110886, 30512, 84851, 103130, 54926, 75513, 112607, 119627, 5486, 110219, 16144, 121302, 106444, 126036, 122270, 103188, 106266, 26854, 103087, 22656, 121930, 5486, 114300, 106106, 121930, 30512, 84851, 103130, 127145, 1811, 220, 77693, 106644, 58942, 5486, 121302, 9554, 16556, 100604, 100543, 249, 16555, 122, 56051, 103087, 22656, 121930, 30512, 104862, 82317, 54926, 59795, 77181, 5486, 103826, 104680, 26854, 102987, 106145, 26854, 109606, 29295, 125119, 76947, 61689, 1811, 109517, 100, 105469, 16144, 104364, 113115, 54926, 11795, 114, 70821, 16144, 113799, 31431, 71289, 110665, 91875, 32977, 58426, 15120, 59739, 38641, 1811, 220, 80539, 106116, 110665, 91875, 71289, 68408, 102494, 19732, 95543, 117073, 91062, 109229, 73590, 29295, 50034, 115590, 20230, 57207, 16073, 110305, 39926, 115515, 18904, 16144, 110665, 91875, 105522, 240, 105557, 20230, 102404, 77413, 127145, 1811, 121655, 107173, 19732, 59795, 16144, 55999, 106518, 104478, 75513, 112607, 15682, 5486, 46456, 100823, 30926, 104721, 16144, 119400, 16144, 102433, 71289, 29504, 70821, 104478, 110792, 102669, 119178, 104284, 43514, 113487, 102532, 16325, 105189, 118514, 30512, 26892, 29504, 56051, 114172, 102512, 115991, 33541, 1811, 50534, 99, 74482, 5486, 29504, 70821, 104478, 15682, 55038, 112827, 20230, 110074, 102639, 38144, 33420, 121143, 56051, 103846, 115515, 77181, 95543, 117073, 102669, 16995, 116771, 29295, 59795, 26892, 125525, 53229, 28542, 104856, 76947, 61689, 109807, 110322, 26955, 254, 20230, 59795, 16144, 29504, 104261, 102052, 116898, 112185, 20230, 114737, 30512, 71289, 42891, 126268, 85791, 102677, 112442, 17129, 102800, 112690, 29295, 108618, 76947, 61689, 29295, 106116, 114737, 107118, 17129, 30813, 20230, 102669, 123628, 46456, 100823, 30926, 104721, 16144, 119400, 16144, 102433, 30512, 115552, 78434, 1811, 128001, 128000, 101918, 30512, 56438, 54926, 105908, 108936, 9554, 115287, 113146, 107118, 121953, 115515, 71289, 71493, 38248, 115, 78349, 39880, 71289, 101918, 16144, 60868, 52884, 115592, 29295, 126909, 30512, 43167, 107436, 61689, 9174, 80673, 5486, 67645, 112384, 30512, 102647, 104369, 103854, 112495, 104865, 109440, 76947, 114732, 17792, 32977, 127181, 118733, 109954, 9174, 51330, 77219, 77181, 5486, 71493, 38248, 115, 78349, 39880, 19732, 101918, 16144, 60868, 52884, 115592, 77693, 108422, 33121, 16144, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 109853, 50338, 108323, 15024, 5486, 102647, 104369, 104983, 16144, 125261, 75146, 107253, 117282, 120098, 30512, 126362, 78434, 9174, 30591, 112568, 125030, 76947, 32335, 109431, 26854, 121507, 57942, 95, 104088, 59739, 105784, 113009, 5486, 112371, 104328, 121846, 116446, 64121, 38144, 72315, 9174, 567, 34676, 101918, 16144, 109198, 17701, 15682, 108031, 102491, 16995, 11571, 71493, 38248, 115, 78349, 39880, 120740, 101918, 16144, 60868, 52884, 115592, 29295, 126909, 112479, 85701, 117758, 101918, 16144, 110498, 31431, 24273, 30512, 78698, 107800, 104983, 5486, 71493, 38248, 115, 78349, 39880, 117657, 32149, 101918, 16144, 60868, 52884, 115592, 30512, 107740, 54926, 32149, 109440, 30297, 110229, 38641, 123794, 9174, 117382, 17129, 77181, 101918, 20230, 110498, 30369, 102083, 116285, 107691, 30297, 112973, 108936, 9554, 16556, 56051, 119520, 111476, 118899, 15682, 71493, 38248, 115, 78349, 39880, 71289, 101918, 16144, 60868, 52884, 115592, 17792, 116499, 105047, 115079, 127145, 9174, 35417, 105576, 112686, 108638, 122491, 109060, 76739, 47260, 42634, 76428, 11972, 9458, 102494, 91482, 37823, 103906, 112686, 108638, 103732, 104533, 5486, 2366, 15, 116358, 102433, 16144, 71493, 38248, 115, 78349, 39880, 101918, 110176, 55038, 9039, 15682, 103664, 19, 32307, 55038, 16556, 38093, 102351, 9039, 15682, 1049, 32307, 17792, 19732, 125053, 116216, 61689, 9174, 605, 8107, 123628, 679, 15, 116358, 101918, 110176, 55038, 9039, 15682, 16, 11, 3101, 55038, 5486, 38093, 102351, 9039, 16, 13, 22, 32307, 17792, 103351, 106592, 113727, 104533, 5486, 31958, 33503, 111201, 106222, 20230, 27699, 116, 108950, 39926, 50834, 127280, 123794, 9174, 53900, 5486, 101918, 16144, 60868, 52884, 115592, 125175, 107809, 72661, 126909, 16144, 13177, 42, 3301, 46, 117503, 120273, 27869, 94537, 9039, 15682, 5486, 2366, 17, 8107, 806, 9953, 106968, 39177, 28542, 16556, 116011, 82420, 20, 13, 17, 32307, 14558, 20230, 28037, 104067, 121256, 9174, 679, 24, 116033, 125175, 30512, 111671, 55031, 2366, 16, 8107, 106968, 39177, 28542, 103296, 16144, 120273, 27869, 94537, 9039, 15682, 18, 32307, 14558, 16556, 56051, 105879, 110371, 9039, 113746, 16556, 17, 13, 17, 32307, 14558, 32977, 115079, 21601, 56051, 100909, 115717, 33541, 9174, 51330, 104466, 5486, 101918, 20230, 110498, 30369, 121507, 57942, 95, 15682, 109198, 17701, 103378, 77181, 123733, 76947, 61689, 9174, 71493, 38248, 115, 78349, 39880, 71289, 101918, 16144, 60868, 52884, 115592, 15682, 37271, 74482, 33541, 33541, 108936, 33208, 109768, 47884, 105908, 103911, 101067, 107001, 105879, 115515, 117591, 55031, 106081, 39926, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 110382, 126328, 71493, 38248, 115, 78349, 39880, 19732, 101918, 16144, 60868, 52884, 115592, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 5486, 118789, 109904, 107740, 41007, 30512, 50338, 108323, 109768, 50834, 33541, 1811, 105994, 102052, 67645, 120240, 29295, 40862, 103836, 32149, 25197, 126989, 21105, 103, 29295, 33503, 125261, 39926, 64121, 38144, 72315, 9174, 567, 34676, 71493, 38248, 115, 78349, 39880, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 112479, 71493, 38248, 115, 78349, 39880, 19732, 101918, 16144, 60868, 52884, 115592, 30512, 125261, 54926, 20230, 30591, 115926, 5486, 126843, 15682, 71493, 38248, 115, 78349, 39880, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 109853, 50338, 108323, 78434, 9174, 14711, 63415, 71493, 38248, 115, 78349, 39880, 16144, 39850, 37823, 67075, 198, 71493, 38248, 115, 78349, 39880, 102052, 88852, 120950, 39850, 37823, 67075, 115991, 33541, 9174, 71493, 38248, 115, 78349, 39880, 30512, 107740, 54926, 118733, 5486, 85707, 23538, 106382, 11883, 29295, 51385, 47884, 5486, 39850, 108304, 96452, 107446, 71289, 23951, 22649, 106382, 11883, 29295, 113473, 108176, 103846, 5486, 101918, 30512, 56438, 54926, 120266, 57106, 115694, 106382, 11883, 29295, 126128, 58942, 102204, 33541, 9174, 53900, 5486, 109215, 26854, 39177, 103378, 101918, 30512, 107740, 54926, 105908, 108608, 103846, 5486, 43568, 102147, 226, 26854, 33563, 19361, 105352, 26854, 31431, 107515, 9174, 122270, 5486, 71493, 38248, 115, 78349, 39880, 30512, 107740, 54926, 118733, 5486, 102472, 102741, 107805, 31640, 71289, 126202, 101918, 75267, 31640, 30512, 95221, 117657, 109215, 29295, 103470, 5486, 111999, 47307, 71493, 38248, 230, 31431, 32977, 102924, 60632, 38641, 9174, 107740, 32977, 120999, 32977, 1187, 82973, 53901, 112495, 110018, 20230, 88367, 1811, 53901, 112495, 110229, 16556, 110498, 104028, 105879, 5486, 105047, 26854, 11883, 30926, 71289, 120523, 61826, 113245, 127284, 46034, 38574, 103306, 32977, 30358, 104734, 78434, 9174, 14711, 63415, 71493, 38248, 115, 78349, 39880, 16144, 68408, 39850, 37823, 67075, 198, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 102052, 88852, 120950, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 9174, 107740, 82973, 29295, 48249, 125398, 100909, 112212, 5486, 71634, 108744, 30512, 112391, 30369, 109335, 101182, 123253, 118855, 5486, 120999, 71289, 46034, 106307, 50834, 16144, 46034, 56965, 107407, 103846, 5486, 107740, 54926, 104983, 20230, 16995, 43514, 16995, 43514, 89783, 17620, 26854, 82973, 71289, 46034, 56965, 29295, 32149, 107277, 33541, 9174, 122270, 5486, 101918, 104091, 71289, 90962, 57326, 104272, 16144, 121507, 57942, 95, 29295, 48249, 125398, 103846, 5486, 115364, 53901, 64121, 20230, 40862, 100472, 101918, 30512, 102647, 104369, 109335, 103082, 107515, 9174, 20251, 32131, 112193, 39177, 102052, 117271, 29295, 111108, 102800, 123017, 68408, 39850, 37823, 67075, 20230, 123680, 102639, 102204, 33541, 1811, 71493, 38248, 115, 78349, 39880, 108695, 20230, 89046, 117139, 120837, 5486, 114225, 113115, 106608, 118765, 82973, 115351, 32977, 101182, 103846, 5486, 107740, 30046, 116907, 16556, 109606, 30512, 50338, 104662, 21105, 103, 16995, 102083, 124324, 104468, 27384, 104721, 38641, 123794, 9174, 111999, 47307, 107487, 119775, 58426, 72368, 27479, 39850, 108304, 96452, 107446, 107001, 102944, 111769, 105879, 5486, 108703, 31431, 28713, 101918, 29295, 21980, 248, 33121, 101732, 19732, 112844, 71174, 32977, 1811, 101918, 29295, 102040, 78525, 44971, 118816, 72342, 42891, 32149, 119064, 45923, 102803, 52884, 32977, 105465, 106624, 123733, 76947, 103801, 61689, 9174, 125175, 113468, 15682, 107740, 42506, 35330 ]
[ 16144, 43511, 20230, 9953, 109518, 42506, 35330, 29295, 32149, 117295, 107803, 32977, 1811, 113702, 112535, 5486, 111999, 47307, 71493, 38248, 230, 31431, 32977, 45736, 47884, 109020, 112997, 29220, 107407, 109335, 53283, 76947, 33334, 47884, 109215, 115991, 33541, 9174, 71689, 119775, 5486, 71493, 38248, 115, 78349, 39880, 30512, 107740, 54926, 104983, 102052, 103826, 104680, 26854, 111681, 104482, 115991, 33541, 1811, 28713, 198, 36785, 15024, 5486, 115364, 101918, 114792, 28713, 100604, 17792, 71289, 109215, 26854, 39177, 103378, 101918, 30512, 107740, 54926, 17792, 125030, 76947, 15682, 5486, 71493, 38248, 115, 78349, 39880, 15682, 102924, 60632, 26854, 125175, 116787, 5486, 115681, 101918, 56438, 20230, 57106, 115694, 47260, 71634, 71289, 46034, 56965, 29295, 83747, 103470, 111587, 104004, 103846, 5486, 19361, 126120, 26854, 121507, 57942, 95, 112028, 59739, 117282, 123253, 9174, 14711, 63415, 71493, 38248, 115, 78349, 39880, 16144, 107740, 41007, 198, 71493, 38248, 115, 78349, 39880, 124905, 102334, 16995, 107803, 5486, 88852, 120950, 106826, 103830, 16556, 107740, 29295, 125545, 9174, 12, 112828, 112772, 38093, 102351, 125104, 54926, 10110, 103048, 110008, 110322, 29295, 109215, 23954, 12, 220, 120999, 117824, 30297, 198, 12, 116325, 23187, 16144, 106826, 38248, 115, 78205, 16073, 120650, 76947, 42634, 48552, 30512, 124131, 103927, 71289, 38093, 102351, 123218, 16556, 50338, 21418, 198, 12, 104102, 233, 108436, 54926, 198, 12, 126075, 31634, 20230, 106608, 100204, 38144, 110698, 104754, 71289, 108914, 101918, 117824, 30297, 198, 12, 121655, 110792, 106826, 38248, 115, 78205, 16073, 20230, 104196, 105368, 198, 12, 32386, 247, 35330, 16144, 46456, 124237, 16995, 198, 33655, 30297, 28713, 102802, 20230, 120999, 30512, 21105, 103, 47884, 38144, 112987, 124324, 103846, 5486, 111764, 27479, 15682, 45736, 47884, 124897, 9174, 567, 34676, 101918, 16144, 60868, 52884, 115592, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 112479, 106307, 102532, 101918, 16144, 60868, 52884, 115592, 60868, 113649, 117718, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 126130, 108044, 58942, 78434, 9174, 14711, 63415, 101918, 16144, 60868, 52884, 115592, 16144, 39850, 37823, 67075, 198, 101918, 16144, 60868, 52884, 115592, 102052, 88852, 120950, 39850, 37823, 67075, 115991, 33541, 9174, 101918, 30512, 56438, 54926, 109335, 122603, 16995, 85707, 23538, 106382, 11883, 71289, 85188, 35330, 5486, 39850, 108304, 96452, 107446, 106382, 11883, 104309, 43240, 119064, 106382, 11883, 29295, 32149, 107277, 33541, 9174, 80673, 5486, 101918, 16144, 60868, 52884, 115592, 125175, 30512, 107740, 54926, 118733, 85701, 120577, 106382, 11883, 30512, 27384, 111044, 20230, 21403, 232, 114485, 54926, 105908, 88367, 38641, 9174, 103892, 35330, 71289, 125104, 106382, 11883, 15682, 32149, 55031, 101860, 5486, 109205, 69978, 106382, 103306, 109215, 26854, 85188, 35330, 71289, 64531, 104874, 106382, 11883, 29295, 121410, 9953, 46456, 124237, 30297, 42506, 35330, 20230, 96412, 17129, 104028, 103846, 112160, 27479, 20230, 43240, 119064, 20834, 106382, 29295, 32149, 107277, 107515, 9174, 122270, 5486, 60868, 52884, 115592, 125175, 77181, 43240, 103826, 26854, 101918, 104091, 71289, 39135, 5486, 90962, 57326, 104272, 30512, 111764, 20230, 102647, 104369, 105908, 125545, 9174, 105994, 20230, 40862, 100472, 101918, 104091, 30512, 102647, 103854, 30369, 105879, 5486, 105755, 102395, 109431, 26854, 71493, 108994, 25197, 52591, 30512, 37705, 30369, 105908, 108608, 123253, 9174, 39850, 108304, 96452, 107446, 71289, 125175, 32977, 105843, 103350, 103792, 105879, 5486, 32307, 29295, 15120, 16144, 101918, 16144, 20251, 32131, 112193, 105352, 118649, 95399, 113115, 106608, 39926, 120700, 33541, 9174, 101918, 16144, 60868, 52884, 115592, 60868, 113649, 117718, 42506, 35330, 29295, 51385, 16995, 114667, 15682, 5486, 108618, 95001, 116700, 102677, 106548, 103214, 64121, 32977, 117375, 127145, 9174, 60868, 52884, 115592, 125175, 77181, 108618, 95001, 17620, 10110, 104196, 105368, 125344, 95001, 112603, 7705, 30512, 73686, 102334, 112603, 38574, 16556, 101918, 30512, 107740, 108608, 103846, 5486, 109198, 17701, 54926, 126036, 51385, 47884, 111587, 104004, 16144, 38641, 9174, 14711, 63415, 101918, 16144, 60868, 52884, 115592, 16144, 68408, 39850, 37823, 67075, 198, 101918, 16144, 60868, 52884, 115592, 125175, 105352, 16995, 47884, 59739, 116421, 68408, 39850, 37823, 67075, 115991, 33541, 9174, 121410, 9953, 23187, 109518, 113245, 46456, 124237, 16995, 117282, 103846, 5486, 71493, 38248, 115, 78349, 39880, 20230, 57106, 115694, 126574, 106382, 11883, 29295, 32149, 107277, 33541, 118855, 5486, 102149, 23039, 124349, 123160, 44416, 48249, 107407, 103846, 5486, 44416, 48249, 30512, 72404, 58942, 104533, 116155, 42506, 35330, 29295, 102404, 21990, 54926, 107803, 32977, 9174, 126202, 101918, 75267, 71289, 102472, 102741, 107805, 5486, 28542, 111800, 106382, 11883, 104309, 9080, 40053, 109904, 109205, 69978, 106382, 32977, 109215, 26854, 105879, 5486, 42506, 35330, 28190, 16556, 113727, 104533, 71493, 38248, 115, 78349, 39880, 120332, 119279, 50928, 123253, 9174, 80673, 5486, 53901, 112495, 101918, 30512, 102647, 115694, 5486, 53901, 112495, 110018, 20230, 111764, 20230, 101918, 20230, 110498, 104028, 104468, 115003, 231, 102800, 120098, 38641, 123794, 1811, 109198, 17701, 126036, 33334, 50928, 26854, 105879, 5486, 118430, 118095, 20230, 101918, 20230, 110498, 30369, 105933, 24273, 102052, 71493, 38248, 115, 78349, 39880, 105755, 33334, 125683, 62004, 125545, 9174, 14711, 63415, 101918, 16144, 60868, 52884, 22398, 107167, 57326, 104272, 16144, 107740, 41007, 198, 101918, 16144, 60868, 52884, 115592, 125175, 30512, 107740, 54926, 41007, 15682, 88852, 16144, 121640, 38641, 9174, 12, 127167, 16144, 60868, 52884, 115592, 16144, 119695, 116229, 17905, 16556, 110498, 31431, 106956, 101918, 30512, 121507, 198, 12, 127167, 110176, 90962, 57326, 104272, 71289, 39850, 108304, 96452, 107446, 57326, 93488, 16144, 19361, 43568, 30512, 121507, 198, 12, 105790, 71289, 101987, 32938, 5486, 117859, 112984, 20230, 109215, 26854, 121568, 108134, 30512, 17701, 48634, 39926, 102782, 15024, 121423, 198, 12, 49854, 102, 112984, 126954, 74482, 5486, 117384, 16556, 50520, 111, 102800, 120273, 103664, 44915, 16144, 122984, 19732, 57326, 93488, 16144, 50021, 111813, 198, 12, 102601, 239, 103664, 102181, 29295, 28037, 100815, 127564, 5486, 61304, 17701, 9458, 15017, 118, 104371, 30512, 39926, 104196, 37705, 198, 12, 220, 102782, 104526, 126233, 102971, 74482, 5486, 103857, 108994, 11972, 55031, 108446, 101918, 103911, 23187, 117073, 89046, 117139, 198, 12, 105490, 235, 101918, 198, 12, 107531, 23187, 28542, 111800, 9458, 101918, 111800, 123160, 81742, 32943, 29295, 109948, 102334, 33503, 106116, 72368, 27479, 39850, 108304, 96452, 107446, 30512, 103350, 102923, 198, 12, 102601, 239, 103664, 105721, 35287, 117232, 29295, 60358, 109669, 102334, 33503, 89046, 117139, 29295, 37507, 30369, 105879, 5486, 64467, 20379, 20230, 123532, 76947, 104196, 105368, 71289, 88356, 120273, 103664, 117824, 30297, 198, 71493, 38248, 115, 78349, 39880, 15682, 111999, 47307, 107487, 20230, 60358, 16995, 119627, 5486, 101918, 16144, 60868, 52884, 115592, 15682, 103857, 108994, 11972, 113245, 109198, 17701, 20230, 60358, 16995, 102677, 121953, 115991, 33541, 9174, 44416, 48249, 15682, 101182, 102944, 16144, 5486, 115364, 101918, 103306, 108064, 72661, 111764, 20230, 107740, 125545, 9174, 90620, 15024, 5486, 120273, 103664, 117232, 29295, 105721, 35287, 112990, 104196, 105368, 71289, 109337, 101544, 5486, 108703, 31431, 109033, 58942, 104309, 30512, 102647, 81219, 123207, 26854, 31431, 107515, 9174, 567, 34676, 60868, 52884, 115592, 19732, 71493, 38248, 115, 78349, 39880, 15682, 67645, 120240, 29295, 32335, 109431, 11571, 114043, 112274, 54926, 104983, 20230, 37689, 109375, 17663, 125231, 120098, 112479, 101918, 16144, 60868, 52884, 115592, 125175, 19732, 71493, 38248, 115, 78349, 39880, 15682, 108048, 108422, 33121, 16144, 66378, 17599, 112, 71289, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 29295, 108901, 26854, 31431, 33541, 9174, 67645, 112384, 29295, 105994, 20230, 40862, 103836, 32149, 30512, 122225, 54926, 103846, 102052, 5486, 88852, 16144, 120098, 30512, 125261, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 12, 220, 103911, 70203, 198, 12, 118759, 11883, 9080, 9039, 198, 12, 107023, 245, 31431, 106956, 101918, 16144, 19361, 43568, 198, 12, 106555, 38248, 115, 78349, 39880, 16144, 107740, 15024, 126172, 30813, 198, 12, 111747, 108968, 198, 12, 116201, 237, 47260, 71634, 198, 77693, 108422, 33121, 50338, 108323, 78434, 9174, 14711, 63415, 103911, 70203, 198, 101918, 16144, 60868, 52884, 115592, 125175, 15682, 5486, 9953, 109518, 42506, 35330, 29295, 32149, 107277, 33541, 29295, 106116, 31640, 78183, 112586, 101918, 110176, 33563, 117126, 71289, 101918, 111800, 5486, 85188, 35330, 5486, 39850, 108304, 96452, 107446, 106382, 11883, 104309, 29295, 96412, 17129, 115032, 105908, 43240, 47884, 5486, 111419, 16144, 103911, 70203, 32943, 16556, 101918, 30512, 109205, 69978, 125545, 9174, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 15682, 107740, 54926, 27479, 20230, 42506, 35330, 29295, 102404, 21990, 78434, 29295, 5486, 107740, 118430, 27479, 29295, 83747, 100604, 126513, 5486, 101918, 16144, 60868, 52884, 115592, 126036, 47260, 71634, 29295, 126128, 58942, 110071, 105908, 57903, 33541, 9174, 101918, 16144, 107740, 20230, 9039, 110743, 119707, 76622, 110071, 105879, 30591, 104984, 60868, 52884, 115592, 120332, 29295, 102924, 60632, 38641, 15024, 114318, 112649, 47884, 51385, 47884, 126128, 58942, 106956, 24273, 15682, 115251, 16937, 102924, 72661, 71493, 38248, 115, 78349, 39880, 120332, 119279, 50928, 38641, 9174, 14711, 63415, 107740, 9080, 9039, 198, 101918, 16144, 60868, 52884, 115592, 125175, 15682, 5486, 9953, 109518, 42506, 35330, 30512, 46456, 124237, 103836, 117232, 16325, 15682, 111764, 20230, 101918, 30512, 107740, 125545, 9174, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 15682, 120999, 29295, 109215, 116787, 5486, 107740, 108608, 9080, 9039, 71289, 82973, 115351, 20230, 44416, 48249, 107407, 107803, 115991, 33541, 9174, 118430, 118095, 20230, 107740, 54926, 105879, 30591, 104984, 5486, 71493, 38248, 115, 78349, 39880, 15682, 16937, 102924, 20230, 112391, 30369, 115789, 43240, 117201, 109954, 9174, 80673, 5486, 9953, 20230, 9039, 18904, 67016, 110498, 110104, 105933, 24273, 125030, 76947, 15682, 43568, 102147, 226, 20230, 56438, 54926, 126036, 33655, 30297, 110018, 103378, 107740, 108608, 71493, 38248, 115, 78349, 39880, 120332, 29295, 70141, 102532, 61689, 9174, 14711, 63415, 110498, 31431, 106956, 101918, 16144, 19361, 43568, 198, 101918, 16144, 60868, 52884, 115592, 125175, 15682, 5486, 115364, 53901, 64121, 71289, 102803, 52591, 105335, 106696, 20230, 114146, 28713, 101918, 30512, 102647, 104369, 105908, 125545, 9174, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 15682, 5486, 101182, 113314, 16144, 101918, 104091, 71289, 41758, 44971, 65575, 15682, 102647, 103854, 30369, 102944, 16144, 5486, 59614, 101860, 15024, 32977, 105994, 29295, 110498, 31431, 106956, 101918, 102052, 110498, 110615, 107803, 115991, 33541, 9174, 14711, 63415, 71493, 38248, 115, 78349, 39880, 16144, 107740, 15024, 126172, 30813, 10110, 120999, 15024, 126172, 30813, 5486, 126202, 101918, 75267, 103296, 16144, 124349, 104309, 23954, 71493, 38248, 115, 78349, 39880, 15682, 5486, 120999, 29295, 109215, 116787, 5486, 120999, 41007, 71289, 46034, 106307, 50834, 113468, 15682, 46034, 56965, 29295, 32149, 117295, 107803, 115991, 33541, 1811, 121410, 18904, 58426, 46034, 56965, 119707, 76622, 110071, 32149, 15682, 78698, 101557, 106, 17663, 125231, 123253, 9174, 53900, 5486, 126202, 101918, 75267, 103296, 16144, 124349, 29295, 110596, 16995, 19732, 95221, 117355, 20230, 107740, 29295, 103082, 107515, 1811, 108729, 112535, 105564, 102532, 23039, 105784, 124349, 20230, 71493, 38248, 115, 78349, 39880, 125175, 119703, 126513, 70141, 16995, 126386, 19732, 78244, 58942, 33541, 9174, 122270, 5486, 60358, 119064, 71493, 38248, 115, 78349, 39880, 16144, 107740, 30046, 29295, 43240, 47884, 5486, 108703, 31431, 106956, 110018, 20230, 108703, 31431, 102204, 100604, 127749, 29295, 127181, 19732, 16937, 102924, 29295, 119448, 115737, 31431, 33541, 9174, 102782, 15024, 121423, 112772, 107740, 30512, 113727, 100934, 71493, 38248, 115, 78349, 39880, 16144, 19000, 107086, 10110, 19000, 101918, 7705, 127749, 30512, 116696, 48552, 39926, 33334, 126145, 103424, 117201, 109954, 9174, 14711, 63415, 11883, 108968, 198, 101918, 16144, 60868, 52884, 115592, 125175, 15682, 5486, 105994, 29295, 109215, 117408, 11883, 108968, 20230, 114146, 38144, 101918, 30512, 107740, 125545, 9174, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 15682, 106649, 82973, 16144, 107740, 20230, 109431, 126020, 5486, 101544, 124349, 71289, 101544, 82973, 16144, 107740, 102052, 70141, 16995, 126386, 107803, 115991, 33541, 9174, 14711, 63415, 110022, 47260, 71634, 10110, 109060, 101513, 97518, 107740, 71289, 126202, 101918, 75267, 5486, 39850, 114483, 33710, 32977, 96412, 62004, 23954, 101918, 16144, 60868, 52884, 115592, 125175, 19732, 71493, 38248, 115, 78349, 39880, 16144, 110022, 47260, 71634, 30512, 125261, 54926, 104983, 102052, 5486, 42506, 35330, 121142, 103470, 39850, 114483, 33710, 28190, 113245, 71634, 108744, 71289, 82973, 123863, 47260, 71634, 32977, 78698, 101557, 106, 54926, 109215, 115991, 33541, 9174, 110904, 116254, 26854, 42506, 35330, 16556, 125261, 112990, 71493, 38248, 115, 78349, 39880, 120332, 119279, 50928, 108176, 123253, 119520, 5486, 95221, 117355, 20230, 101918, 20230, 110498, 110615, 101851, 102, 78183, 21105, 243, 71289, 53901, 112495, 101918, 20230, 110498, 110615, 71634, 108744, 30512, 112391, 30369, 115789, 101182, 123253, 1811, 101918, 29295, 21980, 248, 33121, 101732, 33503, 120208, 32977, 116366, 33121, 107515, 9174, 53900, 5486, 71493, 38248, 115, 78349, 39880, 30512, 107740, 118765, 107803, 102052, 118522, 109060, 101513, 97518, 104309, 30512, 107740, 39926, 127284, 54926, 100909, 108176, 103846, 5486, 113702, 112535, 91763, 100472, 71689, 112197, 35330, 71289, 82973, 29295, 32149, 117295, 115789, 9174, 107740, 57207, 107060, 30512, 25197, 126989, 39926, 64121, 38144, 5486, 20251, 108337, 114615, 47260, 71634, 16556, 122225, 54926, 109215, 115991, 33541, 9174, 71689, 119775, 5486, 101918, 16144, 60868, 52884, 115592, 125175, 19732, 71493, 38248, 115, 78349, 39880, 15682, 108048, 108422, 33121, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 115991, 5486, 107740, 112919, 103911, 70203, 71289, 107740, 30832, 112535, 106608, 100204, 38144, 102647, 104369, 105908, 109215, 38641, 9174, 9953, 104680, 16144, 103911, 70203, 15682, 126128, 58942 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16144, 43511, 20230, 9953, 109518, 42506, 35330, 29295, 32149, 117295, 107803, 32977, 1811, 113702, 112535, 5486, 111999, 47307, 71493, 38248, 230, 31431, 32977, 45736, 47884, 109020, 112997, 29220, 107407, 109335, 53283, 76947, 33334, 47884, 109215, 115991, 33541, 9174, 71689, 119775, 5486, 71493, 38248, 115, 78349, 39880, 30512, 107740, 54926, 104983, 102052, 103826, 104680, 26854, 111681, 104482, 115991, 33541, 1811, 28713, 198, 36785, 15024, 5486, 115364, 101918, 114792, 28713, 100604, 17792, 71289, 109215, 26854, 39177, 103378, 101918, 30512, 107740, 54926, 17792, 125030, 76947, 15682, 5486, 71493, 38248, 115, 78349, 39880, 15682, 102924, 60632, 26854, 125175, 116787, 5486, 115681, 101918, 56438, 20230, 57106, 115694, 47260, 71634, 71289, 46034, 56965, 29295, 83747, 103470, 111587, 104004, 103846, 5486, 19361, 126120, 26854, 121507, 57942, 95, 112028, 59739, 117282, 123253, 9174, 14711, 63415, 71493, 38248, 115, 78349, 39880, 16144, 107740, 41007, 198, 71493, 38248, 115, 78349, 39880, 124905, 102334, 16995, 107803, 5486, 88852, 120950, 106826, 103830, 16556, 107740, 29295, 125545, 9174, 12, 112828, 112772, 38093, 102351, 125104, 54926, 10110, 103048, 110008, 110322, 29295, 109215, 23954, 12, 220, 120999, 117824, 30297, 198, 12, 116325, 23187, 16144, 106826, 38248, 115, 78205, 16073, 120650, 76947, 42634, 48552, 30512, 124131, 103927, 71289, 38093, 102351, 123218, 16556, 50338, 21418, 198, 12, 104102, 233, 108436, 54926, 198, 12, 126075, 31634, 20230, 106608, 100204, 38144, 110698, 104754, 71289, 108914, 101918, 117824, 30297, 198, 12, 121655, 110792, 106826, 38248, 115, 78205, 16073, 20230, 104196, 105368, 198, 12, 32386, 247, 35330, 16144, 46456, 124237, 16995, 198, 33655, 30297, 28713, 102802, 20230, 120999, 30512, 21105, 103, 47884, 38144, 112987, 124324, 103846, 5486, 111764, 27479, 15682, 45736, 47884, 124897, 9174, 567, 34676, 101918, 16144, 60868, 52884, 115592, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 112479, 106307, 102532, 101918, 16144, 60868, 52884, 115592, 60868, 113649, 117718, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 126130, 108044, 58942, 78434, 9174, 14711, 63415, 101918, 16144, 60868, 52884, 115592, 16144, 39850, 37823, 67075, 198, 101918, 16144, 60868, 52884, 115592, 102052, 88852, 120950, 39850, 37823, 67075, 115991, 33541, 9174, 101918, 30512, 56438, 54926, 109335, 122603, 16995, 85707, 23538, 106382, 11883, 71289, 85188, 35330, 5486, 39850, 108304, 96452, 107446, 106382, 11883, 104309, 43240, 119064, 106382, 11883, 29295, 32149, 107277, 33541, 9174, 80673, 5486, 101918, 16144, 60868, 52884, 115592, 125175, 30512, 107740, 54926, 118733, 85701, 120577, 106382, 11883, 30512, 27384, 111044, 20230, 21403, 232, 114485, 54926, 105908, 88367, 38641, 9174, 103892, 35330, 71289, 125104, 106382, 11883, 15682, 32149, 55031, 101860, 5486, 109205, 69978, 106382, 103306, 109215, 26854, 85188, 35330, 71289, 64531, 104874, 106382, 11883, 29295, 121410, 9953, 46456, 124237, 30297, 42506, 35330, 20230, 96412, 17129, 104028, 103846, 112160, 27479, 20230, 43240, 119064, 20834, 106382, 29295, 32149, 107277, 107515, 9174, 122270, 5486, 60868, 52884, 115592, 125175, 77181, 43240, 103826, 26854, 101918, 104091, 71289, 39135, 5486, 90962, 57326, 104272, 30512, 111764, 20230, 102647, 104369, 105908, 125545, 9174, 105994, 20230, 40862, 100472, 101918, 104091, 30512, 102647, 103854, 30369, 105879, 5486, 105755, 102395, 109431, 26854, 71493, 108994, 25197, 52591, 30512, 37705, 30369, 105908, 108608, 123253, 9174, 39850, 108304, 96452, 107446, 71289, 125175, 32977, 105843, 103350, 103792, 105879, 5486, 32307, 29295, 15120, 16144, 101918, 16144, 20251, 32131, 112193, 105352, 118649, 95399, 113115, 106608, 39926, 120700, 33541, 9174, 101918, 16144, 60868, 52884, 115592, 60868, 113649, 117718, 42506, 35330, 29295, 51385, 16995, 114667, 15682, 5486, 108618, 95001, 116700, 102677, 106548, 103214, 64121, 32977, 117375, 127145, 9174, 60868, 52884, 115592, 125175, 77181, 108618, 95001, 17620, 10110, 104196, 105368, 125344, 95001, 112603, 7705, 30512, 73686, 102334, 112603, 38574, 16556, 101918, 30512, 107740, 108608, 103846, 5486, 109198, 17701, 54926, 126036, 51385, 47884, 111587, 104004, 16144, 38641, 9174, 14711, 63415, 101918, 16144, 60868, 52884, 115592, 16144, 68408, 39850, 37823, 67075, 198, 101918, 16144, 60868, 52884, 115592, 125175, 105352, 16995, 47884, 59739, 116421, 68408, 39850, 37823, 67075, 115991, 33541, 9174, 121410, 9953, 23187, 109518, 113245, 46456, 124237, 16995, 117282, 103846, 5486, 71493, 38248, 115, 78349, 39880, 20230, 57106, 115694, 126574, 106382, 11883, 29295, 32149, 107277, 33541, 118855, 5486, 102149, 23039, 124349, 123160, 44416, 48249, 107407, 103846, 5486, 44416, 48249, 30512, 72404, 58942, 104533, 116155, 42506, 35330, 29295, 102404, 21990, 54926, 107803, 32977, 9174, 126202, 101918, 75267, 71289, 102472, 102741, 107805, 5486, 28542, 111800, 106382, 11883, 104309, 9080, 40053, 109904, 109205, 69978, 106382, 32977, 109215, 26854, 105879, 5486, 42506, 35330, 28190, 16556, 113727, 104533, 71493, 38248, 115, 78349, 39880, 120332, 119279, 50928, 123253, 9174, 80673, 5486, 53901, 112495, 101918, 30512, 102647, 115694, 5486, 53901, 112495, 110018, 20230, 111764, 20230, 101918, 20230, 110498, 104028, 104468, 115003, 231, 102800, 120098, 38641, 123794, 1811, 109198, 17701, 126036, 33334, 50928, 26854, 105879, 5486, 118430, 118095, 20230, 101918, 20230, 110498, 30369, 105933, 24273, 102052, 71493, 38248, 115, 78349, 39880, 105755, 33334, 125683, 62004, 125545, 9174, 14711, 63415, 101918, 16144, 60868, 52884, 22398, 107167, 57326, 104272, 16144, 107740, 41007, 198, 101918, 16144, 60868, 52884, 115592, 125175, 30512, 107740, 54926, 41007, 15682, 88852, 16144, 121640, 38641, 9174, 12, 127167, 16144, 60868, 52884, 115592, 16144, 119695, 116229, 17905, 16556, 110498, 31431, 106956, 101918, 30512, 121507, 198, 12, 127167, 110176, 90962, 57326, 104272, 71289, 39850, 108304, 96452, 107446, 57326, 93488, 16144, 19361, 43568, 30512, 121507, 198, 12, 105790, 71289, 101987, 32938, 5486, 117859, 112984, 20230, 109215, 26854, 121568, 108134, 30512, 17701, 48634, 39926, 102782, 15024, 121423, 198, 12, 49854, 102, 112984, 126954, 74482, 5486, 117384, 16556, 50520, 111, 102800, 120273, 103664, 44915, 16144, 122984, 19732, 57326, 93488, 16144, 50021, 111813, 198, 12, 102601, 239, 103664, 102181, 29295, 28037, 100815, 127564, 5486, 61304, 17701, 9458, 15017, 118, 104371, 30512, 39926, 104196, 37705, 198, 12, 220, 102782, 104526, 126233, 102971, 74482, 5486, 103857, 108994, 11972, 55031, 108446, 101918, 103911, 23187, 117073, 89046, 117139, 198, 12, 105490, 235, 101918, 198, 12, 107531, 23187, 28542, 111800, 9458, 101918, 111800, 123160, 81742, 32943, 29295, 109948, 102334, 33503, 106116, 72368, 27479, 39850, 108304, 96452, 107446, 30512, 103350, 102923, 198, 12, 102601, 239, 103664, 105721, 35287, 117232, 29295, 60358, 109669, 102334, 33503, 89046, 117139, 29295, 37507, 30369, 105879, 5486, 64467, 20379, 20230, 123532, 76947, 104196, 105368, 71289, 88356, 120273, 103664, 117824, 30297, 198, 71493, 38248, 115, 78349, 39880, 15682, 111999, 47307, 107487, 20230, 60358, 16995, 119627, 5486, 101918, 16144, 60868, 52884, 115592, 15682, 103857, 108994, 11972, 113245, 109198, 17701, 20230, 60358, 16995, 102677, 121953, 115991, 33541, 9174, 44416, 48249, 15682, 101182, 102944, 16144, 5486, 115364, 101918, 103306, 108064, 72661, 111764, 20230, 107740, 125545, 9174, 90620, 15024, 5486, 120273, 103664, 117232, 29295, 105721, 35287, 112990, 104196, 105368, 71289, 109337, 101544, 5486, 108703, 31431, 109033, 58942, 104309, 30512, 102647, 81219, 123207, 26854, 31431, 107515, 9174, 567, 34676, 60868, 52884, 115592, 19732, 71493, 38248, 115, 78349, 39880, 15682, 67645, 120240, 29295, 32335, 109431, 11571, 114043, 112274, 54926, 104983, 20230, 37689, 109375, 17663, 125231, 120098, 112479, 101918, 16144, 60868, 52884, 115592, 125175, 19732, 71493, 38248, 115, 78349, 39880, 15682, 108048, 108422, 33121, 16144, 66378, 17599, 112, 71289, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 29295, 108901, 26854, 31431, 33541, 9174, 67645, 112384, 29295, 105994, 20230, 40862, 103836, 32149, 30512, 122225, 54926, 103846, 102052, 5486, 88852, 16144, 120098, 30512, 125261, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 12, 220, 103911, 70203, 198, 12, 118759, 11883, 9080, 9039, 198, 12, 107023, 245, 31431, 106956, 101918, 16144, 19361, 43568, 198, 12, 106555, 38248, 115, 78349, 39880, 16144, 107740, 15024, 126172, 30813, 198, 12, 111747, 108968, 198, 12, 116201, 237, 47260, 71634, 198, 77693, 108422, 33121, 50338, 108323, 78434, 9174, 14711, 63415, 103911, 70203, 198, 101918, 16144, 60868, 52884, 115592, 125175, 15682, 5486, 9953, 109518, 42506, 35330, 29295, 32149, 107277, 33541, 29295, 106116, 31640, 78183, 112586, 101918, 110176, 33563, 117126, 71289, 101918, 111800, 5486, 85188, 35330, 5486, 39850, 108304, 96452, 107446, 106382, 11883, 104309, 29295, 96412, 17129, 115032, 105908, 43240, 47884, 5486, 111419, 16144, 103911, 70203, 32943, 16556, 101918, 30512, 109205, 69978, 125545, 9174, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 15682, 107740, 54926, 27479, 20230, 42506, 35330, 29295, 102404, 21990, 78434, 29295, 5486, 107740, 118430, 27479, 29295, 83747, 100604, 126513, 5486, 101918, 16144, 60868, 52884, 115592, 126036, 47260, 71634, 29295, 126128, 58942, 110071, 105908, 57903, 33541, 9174, 101918, 16144, 107740, 20230, 9039, 110743, 119707, 76622, 110071, 105879, 30591, 104984, 60868, 52884, 115592, 120332, 29295, 102924, 60632, 38641, 15024, 114318, 112649, 47884, 51385, 47884, 126128, 58942, 106956, 24273, 15682, 115251, 16937, 102924, 72661, 71493, 38248, 115, 78349, 39880, 120332, 119279, 50928, 38641, 9174, 14711, 63415, 107740, 9080, 9039, 198, 101918, 16144, 60868, 52884, 115592, 125175, 15682, 5486, 9953, 109518, 42506, 35330, 30512, 46456, 124237, 103836, 117232, 16325, 15682, 111764, 20230, 101918, 30512, 107740, 125545, 9174, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 15682, 120999, 29295, 109215, 116787, 5486, 107740, 108608, 9080, 9039, 71289, 82973, 115351, 20230, 44416, 48249, 107407, 107803, 115991, 33541, 9174, 118430, 118095, 20230, 107740, 54926, 105879, 30591, 104984, 5486, 71493, 38248, 115, 78349, 39880, 15682, 16937, 102924, 20230, 112391, 30369, 115789, 43240, 117201, 109954, 9174, 80673, 5486, 9953, 20230, 9039, 18904, 67016, 110498, 110104, 105933, 24273, 125030, 76947, 15682, 43568, 102147, 226, 20230, 56438, 54926, 126036, 33655, 30297, 110018, 103378, 107740, 108608, 71493, 38248, 115, 78349, 39880, 120332, 29295, 70141, 102532, 61689, 9174, 14711, 63415, 110498, 31431, 106956, 101918, 16144, 19361, 43568, 198, 101918, 16144, 60868, 52884, 115592, 125175, 15682, 5486, 115364, 53901, 64121, 71289, 102803, 52591, 105335, 106696, 20230, 114146, 28713, 101918, 30512, 102647, 104369, 105908, 125545, 9174, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 15682, 5486, 101182, 113314, 16144, 101918, 104091, 71289, 41758, 44971, 65575, 15682, 102647, 103854, 30369, 102944, 16144, 5486, 59614, 101860, 15024, 32977, 105994, 29295, 110498, 31431, 106956, 101918, 102052, 110498, 110615, 107803, 115991, 33541, 9174, 14711, 63415, 71493, 38248, 115, 78349, 39880, 16144, 107740, 15024, 126172, 30813, 10110, 120999, 15024, 126172, 30813, 5486, 126202, 101918, 75267, 103296, 16144, 124349, 104309, 23954, 71493, 38248, 115, 78349, 39880, 15682, 5486, 120999, 29295, 109215, 116787, 5486, 120999, 41007, 71289, 46034, 106307, 50834, 113468, 15682, 46034, 56965, 29295, 32149, 117295, 107803, 115991, 33541, 1811, 121410, 18904, 58426, 46034, 56965, 119707, 76622, 110071, 32149, 15682, 78698, 101557, 106, 17663, 125231, 123253, 9174, 53900, 5486, 126202, 101918, 75267, 103296, 16144, 124349, 29295, 110596, 16995, 19732, 95221, 117355, 20230, 107740, 29295, 103082, 107515, 1811, 108729, 112535, 105564, 102532, 23039, 105784, 124349, 20230, 71493, 38248, 115, 78349, 39880, 125175, 119703, 126513, 70141, 16995, 126386, 19732, 78244, 58942, 33541, 9174, 122270, 5486, 60358, 119064, 71493, 38248, 115, 78349, 39880, 16144, 107740, 30046, 29295, 43240, 47884, 5486, 108703, 31431, 106956, 110018, 20230, 108703, 31431, 102204, 100604, 127749, 29295, 127181, 19732, 16937, 102924, 29295, 119448, 115737, 31431, 33541, 9174, 102782, 15024, 121423, 112772, 107740, 30512, 113727, 100934, 71493, 38248, 115, 78349, 39880, 16144, 19000, 107086, 10110, 19000, 101918, 7705, 127749, 30512, 116696, 48552, 39926, 33334, 126145, 103424, 117201, 109954, 9174, 14711, 63415, 11883, 108968, 198, 101918, 16144, 60868, 52884, 115592, 125175, 15682, 5486, 105994, 29295, 109215, 117408, 11883, 108968, 20230, 114146, 38144, 101918, 30512, 107740, 125545, 9174, 15120, 24273, 5486, 71493, 38248, 115, 78349, 39880, 15682, 106649, 82973, 16144, 107740, 20230, 109431, 126020, 5486, 101544, 124349, 71289, 101544, 82973, 16144, 107740, 102052, 70141, 16995, 126386, 107803, 115991, 33541, 9174, 14711, 63415, 110022, 47260, 71634, 10110, 109060, 101513, 97518, 107740, 71289, 126202, 101918, 75267, 5486, 39850, 114483, 33710, 32977, 96412, 62004, 23954, 101918, 16144, 60868, 52884, 115592, 125175, 19732, 71493, 38248, 115, 78349, 39880, 16144, 110022, 47260, 71634, 30512, 125261, 54926, 104983, 102052, 5486, 42506, 35330, 121142, 103470, 39850, 114483, 33710, 28190, 113245, 71634, 108744, 71289, 82973, 123863, 47260, 71634, 32977, 78698, 101557, 106, 54926, 109215, 115991, 33541, 9174, 110904, 116254, 26854, 42506, 35330, 16556, 125261, 112990, 71493, 38248, 115, 78349, 39880, 120332, 119279, 50928, 108176, 123253, 119520, 5486, 95221, 117355, 20230, 101918, 20230, 110498, 110615, 101851, 102, 78183, 21105, 243, 71289, 53901, 112495, 101918, 20230, 110498, 110615, 71634, 108744, 30512, 112391, 30369, 115789, 101182, 123253, 1811, 101918, 29295, 21980, 248, 33121, 101732, 33503, 120208, 32977, 116366, 33121, 107515, 9174, 53900, 5486, 71493, 38248, 115, 78349, 39880, 30512, 107740, 118765, 107803, 102052, 118522, 109060, 101513, 97518, 104309, 30512, 107740, 39926, 127284, 54926, 100909, 108176, 103846, 5486, 113702, 112535, 91763, 100472, 71689, 112197, 35330, 71289, 82973, 29295, 32149, 117295, 115789, 9174, 107740, 57207, 107060, 30512, 25197, 126989, 39926, 64121, 38144, 5486, 20251, 108337, 114615, 47260, 71634, 16556, 122225, 54926, 109215, 115991, 33541, 9174, 71689, 119775, 5486, 101918, 16144, 60868, 52884, 115592, 125175, 19732, 71493, 38248, 115, 78349, 39880, 15682, 108048, 108422, 33121, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 115991, 5486, 107740, 112919, 103911, 70203, 71289, 107740, 30832, 112535, 106608, 100204, 38144, 102647, 104369, 105908, 109215, 38641, 9174, 9953, 104680, 16144, 103911, 70203, 15682, 126128, 58942 ]
[ 106956, 123682, 5486, 33655, 102334, 16995, 110018, 20230, 111764, 20230, 33655, 102334, 16995, 102677, 107803, 102052, 5486, 101918, 16144, 60868, 52884, 115592, 29295, 109431, 127145, 9174, 15120, 24273, 5486, 16937, 23187, 23538, 16556, 106649, 82973, 16144, 107740, 30512, 101067, 23187, 39926, 102532, 5486, 47260, 71634, 30512, 126128, 58942, 106956, 107803, 102052, 5486, 71493, 38248, 115, 78349, 39880, 29295, 109431, 103792, 123253, 9174, 85701, 120577, 122225, 108321, 30512, 32977, 19732, 20230, 5486, 105994, 20230, 109431, 56051, 125175, 30512, 78698, 107290, 64121, 38144, 72315, 9174, 51330, 77219, 29295, 114715, 72661, 121846, 101983, 104984, 106515, 16995, 38641, 1811, 128001, 128000, 14711, 105864, 118, 64889, 13372, 198, 103359, 17792, 109755, 119467, 111571, 5486, 106222, 127408, 108502, 104698, 10110, 50, 1846, 7705, 104309, 29295, 113727, 102204, 33541, 1811, 102099, 107624, 95001, 29295, 103167, 47884, 5486, 43511, 17792, 110792, 103359, 87177, 29295, 111108, 106624, 112391, 30369, 109335, 85701, 120577, 103429, 103397, 112028, 34048, 103195, 125396, 115991, 33541, 9174, 14711, 76502, 40053, 112535, 95221, 116825, 76622, 106956, 100909, 198, 15120, 103359, 15120, 16144, 127749, 71289, 31809, 30813, 26854, 118953, 107610, 113245, 38093, 87177, 55031, 27704, 62004, 5486, 119273, 104680, 20230, 37026, 22023, 116825, 76622, 100481, 47884, 105908, 19361, 126120, 38641, 118855, 5486, 109834, 103868, 16144, 101182, 20251, 70563, 48552, 109853, 87177, 17663, 115789, 102099, 126120, 48634, 99750, 30512, 70141, 17905, 124545, 103129, 76622, 121711, 33541, 1811, 71634, 108744, 40452, 16144, 112113, 10110, 102987, 105324, 107246, 5486, 104921, 239, 101067, 5486, 109431, 27479, 26854, 117401, 104309, 7705, 32977, 19361, 11883, 38641, 9174, 14711, 124928, 250, 112984, 25333, 198, 85701, 120577, 111571, 103397, 15682, 117032, 5486, 113116, 121894, 16144, 107624, 95001, 71289, 122678, 107918, 28190, 30177, 5486, 105284, 99397, 95544, 10110, 27452, 116285, 5486, 37823, 107610, 111817, 106222, 127408, 22398, 102663, 64178, 7705, 30512, 11883, 102532, 120761, 64889, 84389, 33541, 9174, 14711, 116381, 37823, 122842, 102416, 101682, 120761, 54926, 107507, 101198, 94550, 16144, 91774, 110993, 62004, 24273, 198, 115364, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 20230, 37026, 22023, 114792, 59739, 105908, 103082, 101860, 115847, 29295, 9080, 40053, 104654, 71289, 107430, 75267, 113245, 121432, 5486, 106222, 104654, 20230, 109161, 117375, 30512, 82317, 109416, 103792, 126513, 5486, 114363, 103722, 46729, 20230, 50021, 111813, 54926, 106592, 111800, 118219, 39926, 72315, 9174, 14711, 103879, 119, 109519, 25333, 198, 104736, 53283, 123120, 109519, 25333, 10110, 13276, 51, 119735, 5486, 127408, 71289, 109755, 119467, 99750, 30512, 101545, 44309, 15024, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 107446, 62903, 33710, 30512, 70141, 17905, 124545, 110115, 108008, 20230, 8239, 114503, 9554, 38641, 118855, 5486, 117434, 53953, 109519, 25333, 10110, 1242, 4403, 123160, 108324, 30297, 59739, 117434, 71289, 102832, 16073, 118091, 125581, 108270, 70563, 16073, 39276, 16144, 108324, 127408, 117434, 7705, 32977, 125702, 11883, 107001, 105908, 57903, 33541, 9174, 14711, 111279, 71869, 103306, 16144, 117271, 25333, 198, 30591, 109709, 118192, 26269, 105988, 11972, 119707, 76622, 101860, 5486, 83747, 21105, 248, 59739, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 101513, 38093, 30512, 115079, 126172, 105908, 107734, 118013, 33541, 118855, 106116, 114754, 115364, 125641, 30512, 21405, 102321, 54926, 106592, 28194, 101, 119680, 15024, 5486, 125641, 30512, 43568, 103984, 56051, 31431, 33476, 23187, 21105, 103, 16995, 105908, 107693, 38641, 1811, 122270, 5486, 114363, 103722, 46729, 20230, 50021, 111813, 54926, 106592, 108882, 110993, 112535, 53508, 100, 109315, 115789, 107693, 38641, 1811, 128001, 128000, 8107, 106968, 26854, 105879, 5486, 89408, 30512, 123927, 104196, 76947, 111476, 13153, 8107, 74482, 91774, 114305, 114556, 108826, 54926, 106053, 27452, 121780, 25963, 44597, 8107, 7705, 30512, 126362, 103801, 109954, 9174, 64780, 74482, 91774, 111671, 117859, 106053, 113115, 54926, 108324, 58655, 102782, 80195, 58721, 10110, 111344, 117745, 114940, 106053, 32938, 114565, 25963, 44597, 8107, 10110, 32131, 7705, 30537, 60596, 68093, 34617, 18476, 114565, 25963, 44597, 8107, 60596, 9953, 25963, 44597, 9080, 122074, 23954, 51330, 58721, 15682, 5486, 114940, 106053, 32938, 29295, 74482, 91774, 111671, 16144, 117859, 106053, 117824, 30297, 110018, 102052, 67645, 16144, 113314, 104873, 103854, 127567, 104712, 16144, 95532, 102677, 28542, 123863, 114940, 106053, 38641, 9174, 30813, 38144, 5486, 58721, 16144, 44915, 30512, 122984, 103801, 109954, 9174, 23018, 45829, 29295, 104736, 53283, 111571, 112197, 103760, 98369, 19732, 42016, 104157, 39926, 101083, 87177, 30512, 107113, 16144, 119627, 5486, 75910, 106528, 29295, 23039, 50834, 109948, 16995, 100481, 104435, 110792, 118733, 5486, 24775, 101544, 29295, 13153, 8107, 74482, 91774, 16144, 102782, 15024, 121697, 30512, 118006, 114940, 106053, 32938, 113115, 39926, 23039, 16995, 5486, 74482, 91774, 111671, 16144, 117859, 106053, 29295, 17297, 31431, 38144, 5486, 13153, 8107, 74482, 91774, 17792, 103306, 13870, 223, 106528, 101559, 29295, 102647, 49988, 84389, 79721, 9174, 85701, 113115, 39926, 5486, 23018, 45829, 29295, 16937, 44309, 30512, 102782, 15024, 121697, 28713, 112973, 51330, 58721, 38641, 9174, 51330, 114940, 106053, 16144, 106106, 28542, 112028, 59739, 29295, 198, 118133, 103760, 117940, 5486, 74482, 91774, 114754, 109215, 26854, 108680, 122225, 106556, 29295, 103167, 17297, 107113, 16144, 112130, 91006, 198, 13177, 118006, 114940, 106053, 32938, 15682, 108056, 19732, 77693, 30512, 104873, 103854, 79721, 32149, 91006, 198, 102677, 102944, 16556, 56051, 9174, 51330, 28542, 109853, 5486, 117745, 114940, 106053, 32938, 16144, 122225, 15682, 111476, 13177, 108056, 19732, 104873, 115694, 100604, 16556, 124304, 11571, 108031, 127637, 104873, 103854, 26854, 65316, 76864, 78699, 102944, 16556, 56051, 9174, 118006, 114940, 106053, 32938, 15682, 5486, 102782, 80195, 102181, 16144, 114001, 47000, 102181, 104770, 103195, 120761, 64889, 102181, 20230, 75146, 109669, 102532, 122225, 56051, 16144, 119627, 198, 117745, 114940, 106053, 32938, 15682, 36896, 77693, 103378, 104446, 36785, 62004, 57980, 21909, 1811, 120761, 64889, 102181, 116749, 16144, 110322, 26955, 254, 32977, 104873, 103854, 115926, 123213, 17792, 20230, 38093, 76947, 87177, 15024, 30512, 104655, 102334, 31431, 21105, 103, 118145, 26854, 31431, 107515, 57980, 115204, 19732, 119852, 61689, 9174, 85701, 15682, 5486, 120761, 64889, 102181, 16144, 44915, 29295, 198, 13177, 43511, 17792, 110792, 114640, 101734, 236, 33035, 15682, 5486, 118765, 110018, 32977, 101182, 19732, 107001, 125030, 67645, 109709, 5486, 61304, 125534, 48634, 109853, 32977, 109606, 107407, 29295, 113314, 15682, 117355, 16995, 19732, 84389, 101732, 10646, 103846, 38641, 9174, 122270, 13177, 101544, 104858, 101701, 29430, 104736, 53283, 111571, 22398, 102663, 64178, 16144, 28542, 9039, 29295, 845, 28542, 115287, 10646, 115789, 114667, 117084, 61689, 9174, 101544, 104858, 101701, 29430, 104736, 53283, 111571, 22398, 102663, 64178, 102677, 104468, 5486, 104736, 53283, 111571, 32149, 104405, 32149, 30512, 108867, 30369, 111800, 112984, 38641, 3490, 117355, 27479, 104736, 53283, 111571, 5232, 777, 13, 16, 28542, 96555, 73958, 50667, 27479, 104736, 53283, 111571, 5232, 868, 13, 19, 28542, 198, 19732, 116216, 61689, 9174, 59739, 109709, 110371, 58721, 112197, 103760, 117940, 121270, 50667, 27479, 104736, 53283, 111571, 103351, 116233, 101832, 9174, 33334, 103760, 98369, 20230, 74482, 91774, 17792, 30512, 102647, 49988, 54926, 102052, 108948, 103760, 121944, 13177, 30926, 22649, 13870, 223, 109375, 106556, 30512, 124490, 47884, 40053, 109369, 117083, 100909, 10646, 29295, 109215, 126529, 119627, 5486, 30926, 22649, 13870, 223, 109375, 106556, 107118, 5486, 105994, 29295, 108895, 95604, 23039, 101399, 30512, 126693, 5486, 108895, 95604, 113702, 115717, 33541, 57980, 21909, 102677, 16144, 30512, 113954, 54926, 106556, 16144, 100909, 38641, 1811, 102131, 95604, 106556, 29295, 101860, 21909, 104043, 100604, 121894, 103195, 105908, 109215, 105321, 125651, 9174, 105184, 111201, 120761, 64889, 102181, 103378, 118816, 122225, 20230, 109440, 30297, 50034, 115590, 26854, 30926, 27452, 38641, 123794, 1981, 9174, 114940, 106053, 32938, 15682, 124140, 23187, 117824, 100472, 31431, 5486, 104873, 112984, 102078, 29295, 22656, 17792, 20230, 38093, 76947, 87177, 30512, 104655, 102334, 31431, 54926, 125231, 103351, 102677, 100909, 26854, 104127, 109954, 9174, 72661, 110371, 58721, 15682, 5486, 102750, 41758, 44971, 110548, 111848, 45736, 106036, 95, 30046, 84264, 238, 75293, 103306, 24775, 101544, 55031, 102782, 15024, 121697, 29295, 26854, 84389, 101732, 105933, 105879, 5486, 15682, 28713, 39926, 124140, 23187, 71289, 33503, 104873, 112984, 102078, 104873, 112984, 71289, 33503, 30512, 103792, 89783, 116664, 122291, 104865, 11571, 102677, 107750, 99397, 32977, 57903, 33541, 9174, 90620, 5486, 74482, 91774, 114305, 102677, 104468, 123213, 107707, 112607, 60632, 30512, 44416, 48249, 54926, 114305, 26854, 113334, 38641, 55031, 106116, 114305, 30512, 107740, 54926, 102052, 5486, 127762, 30358, 26854, 122225, 29295, 109215, 19732, 107001, 123017, 53900, 30926, 103350, 38641, 9174, 51330, 105933, 117745, 114940, 106053, 32938, 16144, 122225, 29295, 26854, 103646, 16144, 38641, 55031, 198, 37271, 74482, 15682, 5486, 124140, 23187, 71289, 104873, 112984, 102078, 104873, 112984, 117824, 30297, 126465, 29295, 115079, 58942, 100481, 119064, 111769, 123253, 32149, 1811, 128001, 128000, 118899, 5486, 124807, 76739, 67075, 98220, 7, 11571, 8, 16556, 114652, 108870, 117657, 13177, 117587, 105284, 44416, 48249, 10646, 76947, 104405, 95604, 16144, 11571, 47260, 25005, 240, 11972, 113000, 108104, 107898, 120843, 117587, 30512, 17701, 110615, 76947, 100909, 11571, 110631, 16995, 102944, 30512, 37046, 110020, 54926, 76947, 100909, 11571, 105321, 19732, 103470, 13177, 117587, 105284, 44416, 48249, 10646, 76947, 95604, 64803, 19113, 109809, 102158, 7, 11571, 8, 103378, 77181, 118789, 9554, 25197, 126989, 29295, 31106, 116, 50834, 20230, 47884, 16995, 38641, 123794, 9174, 72661, 109713, 91482, 78683, 71289, 48915, 102456, 116696, 107060, 30813, 58942, 32977, 29295, 13177, 117587, 105284, 44416, 48249, 47043, 66383, 32149, 13177, 117587, 105284, 44416, 48249, 39850, 78683, 109496, 118587, 110219, 117158, 103792, 118288, 37271, 5486, 95221, 115717, 33541, 6447, 51330, 116229, 77181, 124807, 76739, 67075, 30512, 27704, 62004, 101200, 106046, 103836, 24273, 102052, 32977, 43514, 85791, 25827, 5486, 124807, 76739, 67075, 20230, 109834, 103868, 100604, 17792, 105352, 53283, 109375, 103306, 17620, 117295, 104466, 13177, 117587, 105284, 44416, 48249, 118587, 50338, 108323, 78434, 9174, 30832, 33671, 198, 567, 110557, 25197, 76739, 67075, 107118, 95532, 117587, 105284, 44416, 48249, 107118, 11571, 126130, 87177, 15024, 54926, 112772, 5486, 124807, 76739, 67075, 107118, 11571, 102677, 33334, 87177, 30512, 48154, 47884, 79982, 112535, 1811, 124807, 76739, 67075, 107118, 5486, 99046, 224, 18655, 71493, 42634, 102540, 30512, 33420, 106382, 71493, 42634, 37823, 38248, 230, 31431, 83747, 103470, 54926, 100909, 1811, 116900, 16144, 21405, 102321, 123410, 105110, 33420, 106382, 71493, 42634, 102540, 30512, 99046, 224, 18655, 71493, 42634, 37823, 38248, 230, 31431, 43240, 47884, 54926, 100909, 38641, 113637, 53229, 108630, 30512, 48915, 56051, 124807, 76739, 67075, 15682, 48706, 103801, 72342, 25827, 1811, 59739, 109709, 124807, 76739, 67075, 16144, 101538, 45893, 15682, 102456, 30926, 28190, 77181, 13177, 71493, 42634, 102540, 44416, 48249, 10646, 126529, 38641, 9174, 567, 114617, 244, 105284, 44416, 48249, 124807, 76739, 67075, 107118, 95532, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 107118, 5486, 117587, 105284, 30512, 44416, 48249, 54926, 107493, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 15682, 44416, 48249, 21105, 103, 16995, 124807, 76739, 67075, 38641, 1811, 117587, 105284, 30512, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 20230, 13177, 22324, 50834, 109033, 105262, 66383, 95604, 21405, 102321, 32977, 84389, 33541, 1811, 110022, 71493, 42634, 102540, 33857, 16144, 126128, 44416, 126036, 5486, 102456, 30926, 123470, 104473, 117587, 112603, 120938, 123716, 16144, 126128, 44416, 20230, 30358, 50834, 30512, 22324, 50834, 5486, 119049, 107079, 33857, 16144, 109205, 69978, 30512, 103984, 102212, 109156, 33121, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 16144, 99046, 224, 18655, 30512, 110008, 37729, 54926, 124807, 76739, 67075, 38641, 9174, 77181, 30591, 33503, 103846, 38144, 5486, 117587, 105284, 44416, 48249, 107118, 1811, 115303, 126843, 88435, 121640, 36896, 117587, 105284, 118587, 13177, 44416, 48249, 10646, 54926, 100909, 113468, 99046, 224, 18655, 71493, 42634, 102540, 124001, 104473, 117587, 112603, 120938, 123716, 30512, 126128, 105262, 100909, 119627, 5486, 110382, 113245, 13177, 117587, 105284, 66383, 15682, 99849, 123253, 32149, 11571, 13177, 58942, 42891, 108948, 120843, 117587, 16144, 30926, 16556, 124304, 91006, 76947, 91763, 30297, 24273, 108048, 32977, 37656, 50338, 119627, 108031, 114715, 108285, 16995, 115552, 115991, 33541, 9174, 119008, 16144, 46091, 27384, 15308, 226, 113598, 72238, 15682, 5486, 163, 65620, 53610, 33208, 53953, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 38641, 9174, 77693, 108422, 33121, 16144, 15308, 226, 113598, 72238, 30512, 43240, 47884, 96412, 104004, 125764, 53953, 15682, 111476, 45048, 163, 65620, 53610, 33208, 53953, 5232, 48154, 15682, 25827, 5486, 124535, 5486, 102267, 118, 104770, 5486, 45951, 233, 104770, 5486, 28873, 53953, 198, 45048, 28713, 25827, 2243, 109, 47884, 105284, 5232, 107079, 5486, 115371, 5486, 11239, 113, 110745, 117203, 198, 45048, 121496, 105284, 5232, 104754, 5486, 66953, 102514, 127359, 38248, 105, 107805, 220, 102677, 25197, 126989, 125651, 9174, 51330, 117591, 13177, 163, 65620, 53610, 33208, 53953, 10646, 29295, 5486, 102717, 109416, 13177, 117587, 105284, 117503, 115552, 38641, 1811, 110382, 16556, 2118, 102717, 109416, 863, 19732, 102181, 102334, 104468, 5486, 16906, 111, 28741, 20230, 95604, 19732, 198, 163, 65620, 53610, 33208, 53953, 104023, 117587, 105284, 121409, 102456, 53953, 103721, 232, 109205, 220, 103195, 55031, 38641, 9174, 80673, 163, 65620, 53610, 33208, 53953, 122692, 102456, 53953, 103721, 232, 109205, 16144, 96412, 19361, 96455, 15682, 100818, 240, 105360, 64121, 20713, 21909, 34617, 113127, 16556, 5486, 102456, 53953, 103721, 232, 109205, 16144, 104622, 50667, 21990, 19732, 107001, 48154, 109416, 30297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 106956, 123682, 5486, 33655, 102334, 16995, 110018, 20230, 111764, 20230, 33655, 102334, 16995, 102677, 107803, 102052, 5486, 101918, 16144, 60868, 52884, 115592, 29295, 109431, 127145, 9174, 15120, 24273, 5486, 16937, 23187, 23538, 16556, 106649, 82973, 16144, 107740, 30512, 101067, 23187, 39926, 102532, 5486, 47260, 71634, 30512, 126128, 58942, 106956, 107803, 102052, 5486, 71493, 38248, 115, 78349, 39880, 29295, 109431, 103792, 123253, 9174, 85701, 120577, 122225, 108321, 30512, 32977, 19732, 20230, 5486, 105994, 20230, 109431, 56051, 125175, 30512, 78698, 107290, 64121, 38144, 72315, 9174, 51330, 77219, 29295, 114715, 72661, 121846, 101983, 104984, 106515, 16995, 38641, 1811, 128001, 128000, 14711, 105864, 118, 64889, 13372, 198, 103359, 17792, 109755, 119467, 111571, 5486, 106222, 127408, 108502, 104698, 10110, 50, 1846, 7705, 104309, 29295, 113727, 102204, 33541, 1811, 102099, 107624, 95001, 29295, 103167, 47884, 5486, 43511, 17792, 110792, 103359, 87177, 29295, 111108, 106624, 112391, 30369, 109335, 85701, 120577, 103429, 103397, 112028, 34048, 103195, 125396, 115991, 33541, 9174, 14711, 76502, 40053, 112535, 95221, 116825, 76622, 106956, 100909, 198, 15120, 103359, 15120, 16144, 127749, 71289, 31809, 30813, 26854, 118953, 107610, 113245, 38093, 87177, 55031, 27704, 62004, 5486, 119273, 104680, 20230, 37026, 22023, 116825, 76622, 100481, 47884, 105908, 19361, 126120, 38641, 118855, 5486, 109834, 103868, 16144, 101182, 20251, 70563, 48552, 109853, 87177, 17663, 115789, 102099, 126120, 48634, 99750, 30512, 70141, 17905, 124545, 103129, 76622, 121711, 33541, 1811, 71634, 108744, 40452, 16144, 112113, 10110, 102987, 105324, 107246, 5486, 104921, 239, 101067, 5486, 109431, 27479, 26854, 117401, 104309, 7705, 32977, 19361, 11883, 38641, 9174, 14711, 124928, 250, 112984, 25333, 198, 85701, 120577, 111571, 103397, 15682, 117032, 5486, 113116, 121894, 16144, 107624, 95001, 71289, 122678, 107918, 28190, 30177, 5486, 105284, 99397, 95544, 10110, 27452, 116285, 5486, 37823, 107610, 111817, 106222, 127408, 22398, 102663, 64178, 7705, 30512, 11883, 102532, 120761, 64889, 84389, 33541, 9174, 14711, 116381, 37823, 122842, 102416, 101682, 120761, 54926, 107507, 101198, 94550, 16144, 91774, 110993, 62004, 24273, 198, 115364, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 20230, 37026, 22023, 114792, 59739, 105908, 103082, 101860, 115847, 29295, 9080, 40053, 104654, 71289, 107430, 75267, 113245, 121432, 5486, 106222, 104654, 20230, 109161, 117375, 30512, 82317, 109416, 103792, 126513, 5486, 114363, 103722, 46729, 20230, 50021, 111813, 54926, 106592, 111800, 118219, 39926, 72315, 9174, 14711, 103879, 119, 109519, 25333, 198, 104736, 53283, 123120, 109519, 25333, 10110, 13276, 51, 119735, 5486, 127408, 71289, 109755, 119467, 99750, 30512, 101545, 44309, 15024, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 107446, 62903, 33710, 30512, 70141, 17905, 124545, 110115, 108008, 20230, 8239, 114503, 9554, 38641, 118855, 5486, 117434, 53953, 109519, 25333, 10110, 1242, 4403, 123160, 108324, 30297, 59739, 117434, 71289, 102832, 16073, 118091, 125581, 108270, 70563, 16073, 39276, 16144, 108324, 127408, 117434, 7705, 32977, 125702, 11883, 107001, 105908, 57903, 33541, 9174, 14711, 111279, 71869, 103306, 16144, 117271, 25333, 198, 30591, 109709, 118192, 26269, 105988, 11972, 119707, 76622, 101860, 5486, 83747, 21105, 248, 59739, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 101513, 38093, 30512, 115079, 126172, 105908, 107734, 118013, 33541, 118855, 106116, 114754, 115364, 125641, 30512, 21405, 102321, 54926, 106592, 28194, 101, 119680, 15024, 5486, 125641, 30512, 43568, 103984, 56051, 31431, 33476, 23187, 21105, 103, 16995, 105908, 107693, 38641, 1811, 122270, 5486, 114363, 103722, 46729, 20230, 50021, 111813, 54926, 106592, 108882, 110993, 112535, 53508, 100, 109315, 115789, 107693, 38641, 1811, 128001, 128000, 8107, 106968, 26854, 105879, 5486, 89408, 30512, 123927, 104196, 76947, 111476, 13153, 8107, 74482, 91774, 114305, 114556, 108826, 54926, 106053, 27452, 121780, 25963, 44597, 8107, 7705, 30512, 126362, 103801, 109954, 9174, 64780, 74482, 91774, 111671, 117859, 106053, 113115, 54926, 108324, 58655, 102782, 80195, 58721, 10110, 111344, 117745, 114940, 106053, 32938, 114565, 25963, 44597, 8107, 10110, 32131, 7705, 30537, 60596, 68093, 34617, 18476, 114565, 25963, 44597, 8107, 60596, 9953, 25963, 44597, 9080, 122074, 23954, 51330, 58721, 15682, 5486, 114940, 106053, 32938, 29295, 74482, 91774, 111671, 16144, 117859, 106053, 117824, 30297, 110018, 102052, 67645, 16144, 113314, 104873, 103854, 127567, 104712, 16144, 95532, 102677, 28542, 123863, 114940, 106053, 38641, 9174, 30813, 38144, 5486, 58721, 16144, 44915, 30512, 122984, 103801, 109954, 9174, 23018, 45829, 29295, 104736, 53283, 111571, 112197, 103760, 98369, 19732, 42016, 104157, 39926, 101083, 87177, 30512, 107113, 16144, 119627, 5486, 75910, 106528, 29295, 23039, 50834, 109948, 16995, 100481, 104435, 110792, 118733, 5486, 24775, 101544, 29295, 13153, 8107, 74482, 91774, 16144, 102782, 15024, 121697, 30512, 118006, 114940, 106053, 32938, 113115, 39926, 23039, 16995, 5486, 74482, 91774, 111671, 16144, 117859, 106053, 29295, 17297, 31431, 38144, 5486, 13153, 8107, 74482, 91774, 17792, 103306, 13870, 223, 106528, 101559, 29295, 102647, 49988, 84389, 79721, 9174, 85701, 113115, 39926, 5486, 23018, 45829, 29295, 16937, 44309, 30512, 102782, 15024, 121697, 28713, 112973, 51330, 58721, 38641, 9174, 51330, 114940, 106053, 16144, 106106, 28542, 112028, 59739, 29295, 198, 118133, 103760, 117940, 5486, 74482, 91774, 114754, 109215, 26854, 108680, 122225, 106556, 29295, 103167, 17297, 107113, 16144, 112130, 91006, 198, 13177, 118006, 114940, 106053, 32938, 15682, 108056, 19732, 77693, 30512, 104873, 103854, 79721, 32149, 91006, 198, 102677, 102944, 16556, 56051, 9174, 51330, 28542, 109853, 5486, 117745, 114940, 106053, 32938, 16144, 122225, 15682, 111476, 13177, 108056, 19732, 104873, 115694, 100604, 16556, 124304, 11571, 108031, 127637, 104873, 103854, 26854, 65316, 76864, 78699, 102944, 16556, 56051, 9174, 118006, 114940, 106053, 32938, 15682, 5486, 102782, 80195, 102181, 16144, 114001, 47000, 102181, 104770, 103195, 120761, 64889, 102181, 20230, 75146, 109669, 102532, 122225, 56051, 16144, 119627, 198, 117745, 114940, 106053, 32938, 15682, 36896, 77693, 103378, 104446, 36785, 62004, 57980, 21909, 1811, 120761, 64889, 102181, 116749, 16144, 110322, 26955, 254, 32977, 104873, 103854, 115926, 123213, 17792, 20230, 38093, 76947, 87177, 15024, 30512, 104655, 102334, 31431, 21105, 103, 118145, 26854, 31431, 107515, 57980, 115204, 19732, 119852, 61689, 9174, 85701, 15682, 5486, 120761, 64889, 102181, 16144, 44915, 29295, 198, 13177, 43511, 17792, 110792, 114640, 101734, 236, 33035, 15682, 5486, 118765, 110018, 32977, 101182, 19732, 107001, 125030, 67645, 109709, 5486, 61304, 125534, 48634, 109853, 32977, 109606, 107407, 29295, 113314, 15682, 117355, 16995, 19732, 84389, 101732, 10646, 103846, 38641, 9174, 122270, 13177, 101544, 104858, 101701, 29430, 104736, 53283, 111571, 22398, 102663, 64178, 16144, 28542, 9039, 29295, 845, 28542, 115287, 10646, 115789, 114667, 117084, 61689, 9174, 101544, 104858, 101701, 29430, 104736, 53283, 111571, 22398, 102663, 64178, 102677, 104468, 5486, 104736, 53283, 111571, 32149, 104405, 32149, 30512, 108867, 30369, 111800, 112984, 38641, 3490, 117355, 27479, 104736, 53283, 111571, 5232, 777, 13, 16, 28542, 96555, 73958, 50667, 27479, 104736, 53283, 111571, 5232, 868, 13, 19, 28542, 198, 19732, 116216, 61689, 9174, 59739, 109709, 110371, 58721, 112197, 103760, 117940, 121270, 50667, 27479, 104736, 53283, 111571, 103351, 116233, 101832, 9174, 33334, 103760, 98369, 20230, 74482, 91774, 17792, 30512, 102647, 49988, 54926, 102052, 108948, 103760, 121944, 13177, 30926, 22649, 13870, 223, 109375, 106556, 30512, 124490, 47884, 40053, 109369, 117083, 100909, 10646, 29295, 109215, 126529, 119627, 5486, 30926, 22649, 13870, 223, 109375, 106556, 107118, 5486, 105994, 29295, 108895, 95604, 23039, 101399, 30512, 126693, 5486, 108895, 95604, 113702, 115717, 33541, 57980, 21909, 102677, 16144, 30512, 113954, 54926, 106556, 16144, 100909, 38641, 1811, 102131, 95604, 106556, 29295, 101860, 21909, 104043, 100604, 121894, 103195, 105908, 109215, 105321, 125651, 9174, 105184, 111201, 120761, 64889, 102181, 103378, 118816, 122225, 20230, 109440, 30297, 50034, 115590, 26854, 30926, 27452, 38641, 123794, 1981, 9174, 114940, 106053, 32938, 15682, 124140, 23187, 117824, 100472, 31431, 5486, 104873, 112984, 102078, 29295, 22656, 17792, 20230, 38093, 76947, 87177, 30512, 104655, 102334, 31431, 54926, 125231, 103351, 102677, 100909, 26854, 104127, 109954, 9174, 72661, 110371, 58721, 15682, 5486, 102750, 41758, 44971, 110548, 111848, 45736, 106036, 95, 30046, 84264, 238, 75293, 103306, 24775, 101544, 55031, 102782, 15024, 121697, 29295, 26854, 84389, 101732, 105933, 105879, 5486, 15682, 28713, 39926, 124140, 23187, 71289, 33503, 104873, 112984, 102078, 104873, 112984, 71289, 33503, 30512, 103792, 89783, 116664, 122291, 104865, 11571, 102677, 107750, 99397, 32977, 57903, 33541, 9174, 90620, 5486, 74482, 91774, 114305, 102677, 104468, 123213, 107707, 112607, 60632, 30512, 44416, 48249, 54926, 114305, 26854, 113334, 38641, 55031, 106116, 114305, 30512, 107740, 54926, 102052, 5486, 127762, 30358, 26854, 122225, 29295, 109215, 19732, 107001, 123017, 53900, 30926, 103350, 38641, 9174, 51330, 105933, 117745, 114940, 106053, 32938, 16144, 122225, 29295, 26854, 103646, 16144, 38641, 55031, 198, 37271, 74482, 15682, 5486, 124140, 23187, 71289, 104873, 112984, 102078, 104873, 112984, 117824, 30297, 126465, 29295, 115079, 58942, 100481, 119064, 111769, 123253, 32149, 1811, 128001, 128000, 118899, 5486, 124807, 76739, 67075, 98220, 7, 11571, 8, 16556, 114652, 108870, 117657, 13177, 117587, 105284, 44416, 48249, 10646, 76947, 104405, 95604, 16144, 11571, 47260, 25005, 240, 11972, 113000, 108104, 107898, 120843, 117587, 30512, 17701, 110615, 76947, 100909, 11571, 110631, 16995, 102944, 30512, 37046, 110020, 54926, 76947, 100909, 11571, 105321, 19732, 103470, 13177, 117587, 105284, 44416, 48249, 10646, 76947, 95604, 64803, 19113, 109809, 102158, 7, 11571, 8, 103378, 77181, 118789, 9554, 25197, 126989, 29295, 31106, 116, 50834, 20230, 47884, 16995, 38641, 123794, 9174, 72661, 109713, 91482, 78683, 71289, 48915, 102456, 116696, 107060, 30813, 58942, 32977, 29295, 13177, 117587, 105284, 44416, 48249, 47043, 66383, 32149, 13177, 117587, 105284, 44416, 48249, 39850, 78683, 109496, 118587, 110219, 117158, 103792, 118288, 37271, 5486, 95221, 115717, 33541, 6447, 51330, 116229, 77181, 124807, 76739, 67075, 30512, 27704, 62004, 101200, 106046, 103836, 24273, 102052, 32977, 43514, 85791, 25827, 5486, 124807, 76739, 67075, 20230, 109834, 103868, 100604, 17792, 105352, 53283, 109375, 103306, 17620, 117295, 104466, 13177, 117587, 105284, 44416, 48249, 118587, 50338, 108323, 78434, 9174, 30832, 33671, 198, 567, 110557, 25197, 76739, 67075, 107118, 95532, 117587, 105284, 44416, 48249, 107118, 11571, 126130, 87177, 15024, 54926, 112772, 5486, 124807, 76739, 67075, 107118, 11571, 102677, 33334, 87177, 30512, 48154, 47884, 79982, 112535, 1811, 124807, 76739, 67075, 107118, 5486, 99046, 224, 18655, 71493, 42634, 102540, 30512, 33420, 106382, 71493, 42634, 37823, 38248, 230, 31431, 83747, 103470, 54926, 100909, 1811, 116900, 16144, 21405, 102321, 123410, 105110, 33420, 106382, 71493, 42634, 102540, 30512, 99046, 224, 18655, 71493, 42634, 37823, 38248, 230, 31431, 43240, 47884, 54926, 100909, 38641, 113637, 53229, 108630, 30512, 48915, 56051, 124807, 76739, 67075, 15682, 48706, 103801, 72342, 25827, 1811, 59739, 109709, 124807, 76739, 67075, 16144, 101538, 45893, 15682, 102456, 30926, 28190, 77181, 13177, 71493, 42634, 102540, 44416, 48249, 10646, 126529, 38641, 9174, 567, 114617, 244, 105284, 44416, 48249, 124807, 76739, 67075, 107118, 95532, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 107118, 5486, 117587, 105284, 30512, 44416, 48249, 54926, 107493, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 15682, 44416, 48249, 21105, 103, 16995, 124807, 76739, 67075, 38641, 1811, 117587, 105284, 30512, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 20230, 13177, 22324, 50834, 109033, 105262, 66383, 95604, 21405, 102321, 32977, 84389, 33541, 1811, 110022, 71493, 42634, 102540, 33857, 16144, 126128, 44416, 126036, 5486, 102456, 30926, 123470, 104473, 117587, 112603, 120938, 123716, 16144, 126128, 44416, 20230, 30358, 50834, 30512, 22324, 50834, 5486, 119049, 107079, 33857, 16144, 109205, 69978, 30512, 103984, 102212, 109156, 33121, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 16144, 99046, 224, 18655, 30512, 110008, 37729, 54926, 124807, 76739, 67075, 38641, 9174, 77181, 30591, 33503, 103846, 38144, 5486, 117587, 105284, 44416, 48249, 107118, 1811, 115303, 126843, 88435, 121640, 36896, 117587, 105284, 118587, 13177, 44416, 48249, 10646, 54926, 100909, 113468, 99046, 224, 18655, 71493, 42634, 102540, 124001, 104473, 117587, 112603, 120938, 123716, 30512, 126128, 105262, 100909, 119627, 5486, 110382, 113245, 13177, 117587, 105284, 66383, 15682, 99849, 123253, 32149, 11571, 13177, 58942, 42891, 108948, 120843, 117587, 16144, 30926, 16556, 124304, 91006, 76947, 91763, 30297, 24273, 108048, 32977, 37656, 50338, 119627, 108031, 114715, 108285, 16995, 115552, 115991, 33541, 9174, 119008, 16144, 46091, 27384, 15308, 226, 113598, 72238, 15682, 5486, 163, 65620, 53610, 33208, 53953, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 38641, 9174, 77693, 108422, 33121, 16144, 15308, 226, 113598, 72238, 30512, 43240, 47884, 96412, 104004, 125764, 53953, 15682, 111476, 45048, 163, 65620, 53610, 33208, 53953, 5232, 48154, 15682, 25827, 5486, 124535, 5486, 102267, 118, 104770, 5486, 45951, 233, 104770, 5486, 28873, 53953, 198, 45048, 28713, 25827, 2243, 109, 47884, 105284, 5232, 107079, 5486, 115371, 5486, 11239, 113, 110745, 117203, 198, 45048, 121496, 105284, 5232, 104754, 5486, 66953, 102514, 127359, 38248, 105, 107805, 220, 102677, 25197, 126989, 125651, 9174, 51330, 117591, 13177, 163, 65620, 53610, 33208, 53953, 10646, 29295, 5486, 102717, 109416, 13177, 117587, 105284, 117503, 115552, 38641, 1811, 110382, 16556, 2118, 102717, 109416, 863, 19732, 102181, 102334, 104468, 5486, 16906, 111, 28741, 20230, 95604, 19732, 198, 163, 65620, 53610, 33208, 53953, 104023, 117587, 105284, 121409, 102456, 53953, 103721, 232, 109205, 220, 103195, 55031, 38641, 9174, 80673, 163, 65620, 53610, 33208, 53953, 122692, 102456, 53953, 103721, 232, 109205, 16144, 96412, 19361, 96455, 15682, 100818, 240, 105360, 64121, 20713, 21909, 34617, 113127, 16556, 5486, 102456, 53953, 103721, 232, 109205, 16144, 104622, 50667, 21990, 19732, 107001, 48154, 109416, 30297 ]
[ 16556, 30813, 107800, 100472, 60596, 113127, 38641, 1811, 59739, 109709, 13177, 163, 65620, 53610, 33208, 53953, 15682, 102717, 109416, 117587, 105284, 66383, 95604, 100909, 38641, 9174, 43514, 26854, 64121, 20230, 118899, 77181, 46091, 27384, 15308, 226, 113598, 72238, 16144, 106592, 163, 65620, 53610, 33208, 53953, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 19732, 21405, 61304, 72342, 101860, 5486, 117587, 105284, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 19732, 21405, 61304, 103792, 124055, 71289, 116229, 32977, 43240, 47884, 57903, 33541, 9174, 125457, 42891, 5486, 104446, 30591, 163, 65620, 53610, 33208, 53953, 30512, 44416, 48249, 54926, 124807, 76739, 67075, 76947, 100909, 11571, 44620, 103167, 163, 65620, 53610, 33208, 53953, 124807, 76739, 67075, 36761, 76947, 95604, 123017, 104655, 102334, 100909, 101182, 107493, 112361, 100909, 91006, 19732, 33334, 42891, 116826, 30369, 24273, 32977, 107991, 123253, 9174, 27384, 37656, 50338, 38641, 6447, 74482, 16556, 43032, 103854, 33541, 29295, 36896, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 10646, 15682, 36896, 103167, 163, 65620, 53610, 33208, 53953, 124807, 76739, 67075, 59712, 103167, 117587, 105284, 124807, 76739, 67075, 59712, 42634, 71493, 103672, 124807, 76739, 67075, 10646, 104309, 19732, 115847, 53900, 13177, 102717, 109416, 112361, 10646, 125845, 13177, 37087, 47884, 112361, 10646, 38641, 9174, 43514, 26854, 64121, 20230, 46091, 27384, 15308, 226, 113598, 72238, 15682, 111476, 45048, 163, 65620, 53610, 33208, 53953, 220, 20713, 15755, 229, 104023, 46702, 62903, 42634, 71493, 42634, 102540, 198, 45048, 28713, 25827, 2243, 109, 47884, 105284, 220, 20713, 15755, 229, 104023, 46702, 62903, 42634, 71493, 42634, 102540, 198, 45048, 121496, 105284, 220, 20713, 15755, 229, 104023, 68093, 62903, 42634, 71493, 42634, 102540, 198, 16144, 76739, 124643, 104603, 11972, 115717, 33541, 9174, 567, 106555, 42634, 102540, 44416, 48249, 110792, 121953, 15682, 95532, 77181, 5486, 17129, 30813, 20230, 2118, 124807, 76739, 67075, 16144, 101538, 45893, 863, 103195, 13177, 71493, 42634, 102540, 44416, 48249, 66383, 121453, 102800, 126067, 103195, 13177, 117587, 105284, 44416, 48249, 66383, 16144, 121953, 15682, 116414, 117083, 105879, 109954, 95532, 112825, 110904, 20230, 78244, 116285, 5486, 71493, 42634, 102540, 44416, 48249, 15682, 5486, 20713, 117073, 10110, 125845, 102456, 30926, 48154, 110792, 7705, 110022, 71493, 42634, 102540, 33857, 30512, 111419, 33857, 88852, 20230, 126128, 105262, 113727, 24273, 116787, 5486, 102456, 30926, 48154, 19732, 20230, 117587, 105284, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 16144, 24775, 103283, 103470, 18655, 15017, 101, 121507, 39926, 110022, 71493, 42634, 102540, 33857, 30512, 104873, 64531, 54926, 113727, 24273, 16556, 5486, 66378, 20230, 117587, 105284, 20230, 108526, 38248, 104, 22398, 109768, 107515, 9174, 15120, 24273, 5486, 117587, 105284, 44416, 48249, 15682, 58426, 13372, 16144, 121640, 117587, 105284, 20230, 108526, 38248, 104, 22398, 126020, 5486, 117587, 105284, 30512, 44416, 48249, 54926, 118733, 71493, 42634, 102540, 33857, 30512, 104873, 64531, 78434, 124845, 117587, 105284, 30512, 114485, 33503, 56051, 17620, 30512, 28713, 25827, 2243, 109, 47884, 105284, 19732, 121496, 105284, 16556, 111983, 30297, 106592, 110008, 37729, 39926, 5486, 119049, 107079, 33857, 16144, 109205, 69978, 30512, 30832, 64467, 17663, 10110, 119049, 107079, 15682, 17129, 30813, 20230, 71493, 42634, 102540, 30512, 33420, 106382, 54926, 116245, 109860, 115847, 30512, 114485, 33503, 17663, 19732, 71493, 42634, 102540, 33420, 106382, 32977, 114485, 76947, 114732, 103846, 7705, 105908, 17039, 102800, 28190, 38641, 9174, 90620, 15024, 5486, 48154, 114053, 30512, 114715, 114485, 33503, 39926, 58426, 31640, 78183, 112586, 55031, 21441, 248, 102639, 71289, 106826, 38248, 255, 30512, 43568, 44416, 48249, 20230, 125764, 111243, 104712, 104865, 102677, 19732, 122582, 110008, 37729, 109768, 107515, 6447, 30591, 47884, 103296, 110022, 71493, 42634, 102540, 33857, 20230, 17905, 48249, 15682, 101182, 105879, 106116, 28542, 15682, 71493, 42634, 102540, 44416, 48249, 16144, 20119, 254, 32943, 117083, 102083, 58942, 33541, 9174, 17663, 16556, 20230, 48154, 111182, 110276, 24273, 32977, 107991, 123253, 29295, 124620, 71493, 42634, 102540, 44416, 48249, 19732, 5486, 117587, 105284, 44416, 48249, 5486, 67645, 120240, 29295, 71289, 122101, 11571, 36761, 110162, 44620, 71493, 42634, 102540, 44416, 48249, 27142, 117587, 105284, 44416, 48249, 85241, 117, 104792, 125261, 6447, 36761, 110162, 76947, 95604, 77219, 71289, 116229, 15682, 121771, 98369, 57903, 33541, 119520, 15682, 121381, 111842, 104622, 8239, 96, 30512, 104662, 62004, 100934, 77219, 15682, 83747, 103470, 5486, 43240, 47884, 15682, 98369, 75694, 25827, 125261, 56051, 30297, 58942, 16556, 102971, 91077, 13177, 105994, 20230, 40862, 100472, 124807, 76739, 67075, 30512, 76864, 19732, 126233, 62004, 47884, 47884, 76947, 61689, 9174, 77386, 20834, 77413, 5232, 71493, 42634, 102540, 44416, 48249, 102456, 27142, 117587, 105284, 44416, 48249, 102456, 5486, 102971, 91077, 67645, 120240, 29295, 71289, 122101, 104865, 198, 567, 45631, 103167, 117587, 105284, 59712, 103167, 163, 65620, 53610, 33208, 53953, 59712, 42634, 71493, 103672, 66383, 112361, 95532, 15682, 121381, 31431, 120267, 17129, 109954, 1811, 112361, 38641, 106609, 114774, 114774, 5486, 117864, 47884, 112361, 110034, 123253, 6447, 76947, 91763, 30297, 17792, 20230, 111983, 102780, 112990, 5486, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 103167, 163, 65620, 53610, 33208, 53953, 124807, 76739, 67075, 5486, 103167, 117587, 105284, 124807, 76739, 67075, 5486, 42634, 71493, 103672, 124807, 76739, 67075, 19732, 5486, 102717, 19732, 124592, 112361, 38641, 6447, 13177, 27384, 42016, 31809, 108901, 10646, 38641, 6447, 113727, 24273, 15682, 112361, 116787, 113314, 16144, 104364, 107407, 120264, 38641, 106609, 42634, 71493, 103672, 124807, 76739, 67075, 15682, 108870, 17039, 102800, 112690, 119627, 36896, 42634, 38248, 104, 125024, 100560, 237, 114265, 44971, 84477, 124807, 76739, 67075, 117503, 105838, 116787, 5486, 74245, 117735, 126693, 13177, 103167, 163, 65620, 53610, 33208, 53953, 124807, 76739, 67075, 10646, 16556, 5486, 110904, 20230, 114654, 116446, 105838, 56051, 121142, 16325, 96356, 15682, 19732, 47884, 20230, 17039, 106624, 124897, 9174, 567, 45631, 71493, 42634, 102540, 44416, 48249, 124807, 76739, 67075, 10646, 29295, 89753, 23039, 110104, 104468, 26854, 112371, 95532, 122582, 108149, 109709, 105352, 101538, 45893, 103188, 105557, 38144, 112832, 32977, 13177, 86127, 20230, 40862, 103836, 124807, 76739, 67075, 15682, 85701, 36785, 76864, 106046, 78183, 100604, 55031, 38641, 1811, 112832, 15024, 32977, 124807, 76739, 67075, 54926, 105110, 32335, 31809, 48249, 16144, 37046, 110020, 16556, 112366, 16144, 8239, 114503, 30512, 125494, 78434, 119520, 16995, 112495, 31431, 27384, 17905, 38574, 55031, 13177, 71493, 42634, 102540, 30512, 44416, 48249, 119607, 76864, 77181, 112832, 32977, 110498, 76947, 37507, 107515, 9174, 110924, 16556, 13177, 117587, 105284, 103378, 37046, 110020, 126693, 104712, 6447, 59712, 33334, 107079, 15682, 125764, 111243, 27384, 121313, 76864, 102083, 100472, 17620, 107277, 126172, 47884, 101523, 227, 48634, 109904, 112690, 16556, 5486, 124807, 76739, 67075, 30512, 27704, 109315, 102040, 65575, 33710, 30512, 17297, 102639, 100934, 112973, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 38641, 9174, 119627, 5486, 25580, 43032, 16144, 19732, 108086, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 32977, 30591, 47884, 103296, 71493, 42634, 102540, 44416, 48249, 124807, 76739, 67075, 16144, 20119, 254, 32943, 38641, 1811, 71493, 42634, 102540, 44416, 48249, 124807, 76739, 67075, 102677, 112690, 15682, 89753, 23039, 76947, 104533, 15682, 78244, 58942, 107515, 29295, 5486, 122617, 16144, 124807, 76739, 67075, 16144, 102832, 61398, 117084, 108086, 5486, 91774, 24273, 30512, 104721, 58942, 104984, 13177, 27384, 89753, 23039, 10646, 109768, 104533, 78244, 105262, 123253, 9174, 567, 114617, 244, 105284, 44416, 48249, 124807, 76739, 67075, 30512, 27704, 62004, 101200, 106609, 67645, 103171, 124807, 76739, 67075, 30512, 27704, 62004, 101200, 32149, 11571, 19732, 78698, 107290, 33503, 42891, 116826, 30369, 24273, 108149, 33121, 85701, 101128, 102, 126559, 120264, 105110, 5486, 108031, 109440, 124059, 20230, 110589, 55031, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 30512, 27704, 109315, 125231, 38641, 9174, 105994, 20230, 40862, 113017, 16144, 11571, 110162, 5486, 125821, 112825, 110904, 26854, 124807, 76739, 67075, 107407, 16144, 77181, 11571, 110162, 5486, 78698, 105262, 126036, 36896, 27704, 109315, 10646, 100909, 120332, 29295, 27384, 102769, 38641, 1811, 117587, 126017, 103429, 110162, 103429, 95221, 126194, 110219, 16144, 117178, 112624, 120332, 15682, 5486, 67645, 16144, 124807, 76739, 67075, 30512, 109134, 125231, 32149, 11571, 114016, 102647, 104369, 109215, 120937, 16144, 38641, 1811, 126843, 15682, 103350, 124299, 21105, 103, 29295, 33503, 5486, 83747, 21105, 248, 59739, 105994, 26854, 111331, 68759, 118331, 107908, 30512, 106391, 113638, 126693, 104712, 16144, 38641, 9174, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 103167, 117587, 105284, 5486, 103167, 163, 65620, 53610, 33208, 53953, 5486, 42634, 71493, 103672, 104309, 103283, 16144, 120613, 72661, 126362, 84389, 5486, 108285, 47884, 101083, 107809, 20230, 27699, 116, 108950, 21105, 97, 59739, 57903, 33541, 1811, 112672, 106272, 97518, 89046, 16144, 44971, 57207, 70563, 43167, 32977, 43240, 47884, 5486, 109713, 91482, 78683, 5486, 48915, 102456, 116696, 107060, 72661, 97518, 89046, 47043, 71289, 97518, 89046, 39850, 78683, 109496, 29295, 121771, 98369, 20834, 127280, 1811, 17129, 30813, 20230, 57237, 33121, 31431, 107542, 47884, 72342, 31431, 121894, 126529, 38641, 1811, 107943, 16325, 16556, 13177, 32977, 42891, 102083, 16995, 124807, 76739, 67075, 120937, 32149, 91006, 114016, 78698, 105262, 104468, 71289, 62004, 17129, 109954, 9174, 567, 109450, 114622, 16144, 102717, 19732, 124592, 16144, 119008, 16556, 117587, 105284, 33857, 29295, 52563, 110731, 198, 23530, 114622, 16144, 119008, 15682, 15308, 226, 113598, 13153, 17620, 52563, 29295, 104577, 102781, 122382, 124195, 108086, 106116, 126867, 13177, 117587, 105284, 117503, 111831, 32977, 57903, 5486, 102717, 19732, 124592, 16144, 23530, 114622, 16144, 119008, 15682, 15120, 30832, 16556, 117587, 105284, 33857, 29295, 17620, 107277, 33541, 1811, 117587, 105284, 33857, 16144, 111831, 119703, 107803, 32977, 57903, 33541, 29295, 5486, 163, 65620, 53610, 33208, 53953, 16144, 111831, 29295, 30591, 104984, 77693, 29295, 117587, 105284, 16144, 33857, 19732, 78698, 107290, 56965, 121953, 124897, 9174, 77386, 108056, 19732, 52563, 116216, 33541, 106609, 567, 114617, 244, 105284, 44416, 48249, 16144, 44971, 57207, 70563, 43167, 198, 117587, 105284, 44416, 48249, 16144, 44971, 57207, 70563, 43167, 15682, 111800, 52084, 126693, 58911, 108680, 20834, 38144, 50834, 33541, 1811, 101523, 227, 48634, 109904, 116229, 104088, 59739, 105784, 100909, 55031, 27704, 109315, 123017, 57980, 117201, 109954, 9174, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 124911, 95221, 44971, 57207, 70563, 1811, 103167, 117587, 105284, 26854, 39850, 78683, 109496, 12425, 25446, 123011, 62004, 9174, 117587, 105284, 44416, 48249, 44971, 57207, 70563, 123011, 62004, 1811, 23, 7501, 101576, 102, 72342, 28713, 86127, 112197, 125683, 62004, 806, 102647, 19732, 5486, 37046, 110020, 21105, 103, 16995, 22324, 50834, 109033, 58942, 25333, 198, 567, 68042, 16073, 91482, 78683, 72661, 117587, 105284, 44416, 48249, 198, 27384, 46034, 109713, 91482, 78683, 72661, 117587, 105284, 44416, 48249, 47043, 16144, 25446, 108422, 85791, 58942, 30512, 114300, 76947, 61689, 1811, 124807, 76739, 67075, 16325, 15682, 109713, 91482, 78683, 102456, 114016, 99959, 39850, 6447, 102677, 113334, 72661, 100604, 16144, 38641, 9174, 11144, 18, 32149, 9953, 16556, 24, 13, 22, 7501, 101576, 102, 72342, 28713, 11199, 109713, 91482, 78683, 16556, 117587, 105284, 44416, 48249, 33334, 125683, 62004, 11144, 64810, 52884, 16073, 25197, 44971, 52884, 16073, 112479, 104774, 101198, 37823, 108941, 84477, 16556, 117587, 105284, 44416, 48249, 54926, 105110, 67645, 16144, 47043, 11571, 106369, 16995, 106624, 38144, 103167, 117587, 105284, 126738, 125683, 62004, 39850, 78683, 109496, 198, 42634, 38248, 121, 113883, 90962, 22398, 22398, 39850, 117587, 105284, 44416, 48249, 39850, 78683, 109496, 20, 102647, 1811, 42634, 71493, 103672, 105110, 33334, 113351, 16995, 124387, 125764, 111243, 4012, 95532, 567, 106547, 102456, 116696, 107060, 72661, 117587, 105284, 44416, 48249, 198, 27384, 46034, 48915, 102456, 116696, 107060, 16144, 72516, 77181, 5486, 87641, 101668, 47884, 102267, 118, 9458, 105988, 37823, 16144, 105494, 29295, 101828, 73361, 16556, 100604, 117539, 65743, 9458, 102212, 108171, 16556, 30775, 253, 102189, 102040, 113155, 38248, 105, 11972, 104309, 5486, 91774, 28713, 30832, 105352, 58666, 103868, 21105, 251, 30297, 26854, 53953, 29295, 121771, 98369, 121642, 116216, 61689, 57980, 9174, 117587, 105284, 44416, 48249, 16325, 72661, 48915, 102456, 4012, 6447, 109006, 117355, 20230, 117587, 105284, 90962, 52591, 103082, 38144, 33334, 16995, 106624, 126407, 109315, 48915, 102456, 116696, 107060, 39850, 78683, 109496, 123011, 62004, 198, 567, 220, 123011, 62004, 198, 71689, 5486, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 71493, 42634, 102540, 44416, 48249, 124807, 76739, 67075, 30512, 102832, 61398, 20230, 21105, 103, 29295, 33503, 32977, 17620, 107277, 126172, 47884, 37046, 110020, 32977, 83747, 103470, 5486, 103350, 124299, 25333, 105352, 121507, 57942, 95, 29295, 108285, 115737, 76947, 61689, 1811, 52884, 103202, 104856, 76947, 15682, 33420, 58942, 100481, 100472, 9039, 104680, 16144, 124807, 76739, 67075, 107118, 121953, 5486, 120613, 29295, 124500, 30369, 125396, 15682, 30591, 114598, 106116, 113727, 24273, 15682, 17039, 102800, 101538, 45893, 121711, 23187, 100815, 54926, 123253, 1811, 16995, 58942, 5486, 108031, 23187, 100815, 109768, 104533, 78244, 114598, 104712, 123253, 9174, 30813, 30591, 108149, 112568, 26854, 111331, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 30512, 32018, 107436, 5486, 30813, 42891, 27929, 47884, 110589, 55031, 103350, 124299, 103801, 109954, 6447, 128001, 128000, 20713, 59983, 16937, 37656, 109311, 32018, 56051, 104412, 106382, 30512, 103435, 229, 106759, 38093, 50667, 16144, 106382, 11883, 20230, 105843, 38144, 101732, 30926, 81742, 198, 61337, 11883, 101918, 124905, 76947, 20834, 105714, 56051, 110115, 5486, 118522, 109060, 101513, 97518, 30512, 107740, 56051, 102944 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16556, 30813, 107800, 100472, 60596, 113127, 38641, 1811, 59739, 109709, 13177, 163, 65620, 53610, 33208, 53953, 15682, 102717, 109416, 117587, 105284, 66383, 95604, 100909, 38641, 9174, 43514, 26854, 64121, 20230, 118899, 77181, 46091, 27384, 15308, 226, 113598, 72238, 16144, 106592, 163, 65620, 53610, 33208, 53953, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 19732, 21405, 61304, 72342, 101860, 5486, 117587, 105284, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 19732, 21405, 61304, 103792, 124055, 71289, 116229, 32977, 43240, 47884, 57903, 33541, 9174, 125457, 42891, 5486, 104446, 30591, 163, 65620, 53610, 33208, 53953, 30512, 44416, 48249, 54926, 124807, 76739, 67075, 76947, 100909, 11571, 44620, 103167, 163, 65620, 53610, 33208, 53953, 124807, 76739, 67075, 36761, 76947, 95604, 123017, 104655, 102334, 100909, 101182, 107493, 112361, 100909, 91006, 19732, 33334, 42891, 116826, 30369, 24273, 32977, 107991, 123253, 9174, 27384, 37656, 50338, 38641, 6447, 74482, 16556, 43032, 103854, 33541, 29295, 36896, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 10646, 15682, 36896, 103167, 163, 65620, 53610, 33208, 53953, 124807, 76739, 67075, 59712, 103167, 117587, 105284, 124807, 76739, 67075, 59712, 42634, 71493, 103672, 124807, 76739, 67075, 10646, 104309, 19732, 115847, 53900, 13177, 102717, 109416, 112361, 10646, 125845, 13177, 37087, 47884, 112361, 10646, 38641, 9174, 43514, 26854, 64121, 20230, 46091, 27384, 15308, 226, 113598, 72238, 15682, 111476, 45048, 163, 65620, 53610, 33208, 53953, 220, 20713, 15755, 229, 104023, 46702, 62903, 42634, 71493, 42634, 102540, 198, 45048, 28713, 25827, 2243, 109, 47884, 105284, 220, 20713, 15755, 229, 104023, 46702, 62903, 42634, 71493, 42634, 102540, 198, 45048, 121496, 105284, 220, 20713, 15755, 229, 104023, 68093, 62903, 42634, 71493, 42634, 102540, 198, 16144, 76739, 124643, 104603, 11972, 115717, 33541, 9174, 567, 106555, 42634, 102540, 44416, 48249, 110792, 121953, 15682, 95532, 77181, 5486, 17129, 30813, 20230, 2118, 124807, 76739, 67075, 16144, 101538, 45893, 863, 103195, 13177, 71493, 42634, 102540, 44416, 48249, 66383, 121453, 102800, 126067, 103195, 13177, 117587, 105284, 44416, 48249, 66383, 16144, 121953, 15682, 116414, 117083, 105879, 109954, 95532, 112825, 110904, 20230, 78244, 116285, 5486, 71493, 42634, 102540, 44416, 48249, 15682, 5486, 20713, 117073, 10110, 125845, 102456, 30926, 48154, 110792, 7705, 110022, 71493, 42634, 102540, 33857, 30512, 111419, 33857, 88852, 20230, 126128, 105262, 113727, 24273, 116787, 5486, 102456, 30926, 48154, 19732, 20230, 117587, 105284, 5486, 28713, 25827, 2243, 109, 47884, 105284, 5486, 121496, 105284, 16144, 24775, 103283, 103470, 18655, 15017, 101, 121507, 39926, 110022, 71493, 42634, 102540, 33857, 30512, 104873, 64531, 54926, 113727, 24273, 16556, 5486, 66378, 20230, 117587, 105284, 20230, 108526, 38248, 104, 22398, 109768, 107515, 9174, 15120, 24273, 5486, 117587, 105284, 44416, 48249, 15682, 58426, 13372, 16144, 121640, 117587, 105284, 20230, 108526, 38248, 104, 22398, 126020, 5486, 117587, 105284, 30512, 44416, 48249, 54926, 118733, 71493, 42634, 102540, 33857, 30512, 104873, 64531, 78434, 124845, 117587, 105284, 30512, 114485, 33503, 56051, 17620, 30512, 28713, 25827, 2243, 109, 47884, 105284, 19732, 121496, 105284, 16556, 111983, 30297, 106592, 110008, 37729, 39926, 5486, 119049, 107079, 33857, 16144, 109205, 69978, 30512, 30832, 64467, 17663, 10110, 119049, 107079, 15682, 17129, 30813, 20230, 71493, 42634, 102540, 30512, 33420, 106382, 54926, 116245, 109860, 115847, 30512, 114485, 33503, 17663, 19732, 71493, 42634, 102540, 33420, 106382, 32977, 114485, 76947, 114732, 103846, 7705, 105908, 17039, 102800, 28190, 38641, 9174, 90620, 15024, 5486, 48154, 114053, 30512, 114715, 114485, 33503, 39926, 58426, 31640, 78183, 112586, 55031, 21441, 248, 102639, 71289, 106826, 38248, 255, 30512, 43568, 44416, 48249, 20230, 125764, 111243, 104712, 104865, 102677, 19732, 122582, 110008, 37729, 109768, 107515, 6447, 30591, 47884, 103296, 110022, 71493, 42634, 102540, 33857, 20230, 17905, 48249, 15682, 101182, 105879, 106116, 28542, 15682, 71493, 42634, 102540, 44416, 48249, 16144, 20119, 254, 32943, 117083, 102083, 58942, 33541, 9174, 17663, 16556, 20230, 48154, 111182, 110276, 24273, 32977, 107991, 123253, 29295, 124620, 71493, 42634, 102540, 44416, 48249, 19732, 5486, 117587, 105284, 44416, 48249, 5486, 67645, 120240, 29295, 71289, 122101, 11571, 36761, 110162, 44620, 71493, 42634, 102540, 44416, 48249, 27142, 117587, 105284, 44416, 48249, 85241, 117, 104792, 125261, 6447, 36761, 110162, 76947, 95604, 77219, 71289, 116229, 15682, 121771, 98369, 57903, 33541, 119520, 15682, 121381, 111842, 104622, 8239, 96, 30512, 104662, 62004, 100934, 77219, 15682, 83747, 103470, 5486, 43240, 47884, 15682, 98369, 75694, 25827, 125261, 56051, 30297, 58942, 16556, 102971, 91077, 13177, 105994, 20230, 40862, 100472, 124807, 76739, 67075, 30512, 76864, 19732, 126233, 62004, 47884, 47884, 76947, 61689, 9174, 77386, 20834, 77413, 5232, 71493, 42634, 102540, 44416, 48249, 102456, 27142, 117587, 105284, 44416, 48249, 102456, 5486, 102971, 91077, 67645, 120240, 29295, 71289, 122101, 104865, 198, 567, 45631, 103167, 117587, 105284, 59712, 103167, 163, 65620, 53610, 33208, 53953, 59712, 42634, 71493, 103672, 66383, 112361, 95532, 15682, 121381, 31431, 120267, 17129, 109954, 1811, 112361, 38641, 106609, 114774, 114774, 5486, 117864, 47884, 112361, 110034, 123253, 6447, 76947, 91763, 30297, 17792, 20230, 111983, 102780, 112990, 5486, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 103167, 163, 65620, 53610, 33208, 53953, 124807, 76739, 67075, 5486, 103167, 117587, 105284, 124807, 76739, 67075, 5486, 42634, 71493, 103672, 124807, 76739, 67075, 19732, 5486, 102717, 19732, 124592, 112361, 38641, 6447, 13177, 27384, 42016, 31809, 108901, 10646, 38641, 6447, 113727, 24273, 15682, 112361, 116787, 113314, 16144, 104364, 107407, 120264, 38641, 106609, 42634, 71493, 103672, 124807, 76739, 67075, 15682, 108870, 17039, 102800, 112690, 119627, 36896, 42634, 38248, 104, 125024, 100560, 237, 114265, 44971, 84477, 124807, 76739, 67075, 117503, 105838, 116787, 5486, 74245, 117735, 126693, 13177, 103167, 163, 65620, 53610, 33208, 53953, 124807, 76739, 67075, 10646, 16556, 5486, 110904, 20230, 114654, 116446, 105838, 56051, 121142, 16325, 96356, 15682, 19732, 47884, 20230, 17039, 106624, 124897, 9174, 567, 45631, 71493, 42634, 102540, 44416, 48249, 124807, 76739, 67075, 10646, 29295, 89753, 23039, 110104, 104468, 26854, 112371, 95532, 122582, 108149, 109709, 105352, 101538, 45893, 103188, 105557, 38144, 112832, 32977, 13177, 86127, 20230, 40862, 103836, 124807, 76739, 67075, 15682, 85701, 36785, 76864, 106046, 78183, 100604, 55031, 38641, 1811, 112832, 15024, 32977, 124807, 76739, 67075, 54926, 105110, 32335, 31809, 48249, 16144, 37046, 110020, 16556, 112366, 16144, 8239, 114503, 30512, 125494, 78434, 119520, 16995, 112495, 31431, 27384, 17905, 38574, 55031, 13177, 71493, 42634, 102540, 30512, 44416, 48249, 119607, 76864, 77181, 112832, 32977, 110498, 76947, 37507, 107515, 9174, 110924, 16556, 13177, 117587, 105284, 103378, 37046, 110020, 126693, 104712, 6447, 59712, 33334, 107079, 15682, 125764, 111243, 27384, 121313, 76864, 102083, 100472, 17620, 107277, 126172, 47884, 101523, 227, 48634, 109904, 112690, 16556, 5486, 124807, 76739, 67075, 30512, 27704, 109315, 102040, 65575, 33710, 30512, 17297, 102639, 100934, 112973, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 38641, 9174, 119627, 5486, 25580, 43032, 16144, 19732, 108086, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 32977, 30591, 47884, 103296, 71493, 42634, 102540, 44416, 48249, 124807, 76739, 67075, 16144, 20119, 254, 32943, 38641, 1811, 71493, 42634, 102540, 44416, 48249, 124807, 76739, 67075, 102677, 112690, 15682, 89753, 23039, 76947, 104533, 15682, 78244, 58942, 107515, 29295, 5486, 122617, 16144, 124807, 76739, 67075, 16144, 102832, 61398, 117084, 108086, 5486, 91774, 24273, 30512, 104721, 58942, 104984, 13177, 27384, 89753, 23039, 10646, 109768, 104533, 78244, 105262, 123253, 9174, 567, 114617, 244, 105284, 44416, 48249, 124807, 76739, 67075, 30512, 27704, 62004, 101200, 106609, 67645, 103171, 124807, 76739, 67075, 30512, 27704, 62004, 101200, 32149, 11571, 19732, 78698, 107290, 33503, 42891, 116826, 30369, 24273, 108149, 33121, 85701, 101128, 102, 126559, 120264, 105110, 5486, 108031, 109440, 124059, 20230, 110589, 55031, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 30512, 27704, 109315, 125231, 38641, 9174, 105994, 20230, 40862, 113017, 16144, 11571, 110162, 5486, 125821, 112825, 110904, 26854, 124807, 76739, 67075, 107407, 16144, 77181, 11571, 110162, 5486, 78698, 105262, 126036, 36896, 27704, 109315, 10646, 100909, 120332, 29295, 27384, 102769, 38641, 1811, 117587, 126017, 103429, 110162, 103429, 95221, 126194, 110219, 16144, 117178, 112624, 120332, 15682, 5486, 67645, 16144, 124807, 76739, 67075, 30512, 109134, 125231, 32149, 11571, 114016, 102647, 104369, 109215, 120937, 16144, 38641, 1811, 126843, 15682, 103350, 124299, 21105, 103, 29295, 33503, 5486, 83747, 21105, 248, 59739, 105994, 26854, 111331, 68759, 118331, 107908, 30512, 106391, 113638, 126693, 104712, 16144, 38641, 9174, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 103167, 117587, 105284, 5486, 103167, 163, 65620, 53610, 33208, 53953, 5486, 42634, 71493, 103672, 104309, 103283, 16144, 120613, 72661, 126362, 84389, 5486, 108285, 47884, 101083, 107809, 20230, 27699, 116, 108950, 21105, 97, 59739, 57903, 33541, 1811, 112672, 106272, 97518, 89046, 16144, 44971, 57207, 70563, 43167, 32977, 43240, 47884, 5486, 109713, 91482, 78683, 5486, 48915, 102456, 116696, 107060, 72661, 97518, 89046, 47043, 71289, 97518, 89046, 39850, 78683, 109496, 29295, 121771, 98369, 20834, 127280, 1811, 17129, 30813, 20230, 57237, 33121, 31431, 107542, 47884, 72342, 31431, 121894, 126529, 38641, 1811, 107943, 16325, 16556, 13177, 32977, 42891, 102083, 16995, 124807, 76739, 67075, 120937, 32149, 91006, 114016, 78698, 105262, 104468, 71289, 62004, 17129, 109954, 9174, 567, 109450, 114622, 16144, 102717, 19732, 124592, 16144, 119008, 16556, 117587, 105284, 33857, 29295, 52563, 110731, 198, 23530, 114622, 16144, 119008, 15682, 15308, 226, 113598, 13153, 17620, 52563, 29295, 104577, 102781, 122382, 124195, 108086, 106116, 126867, 13177, 117587, 105284, 117503, 111831, 32977, 57903, 5486, 102717, 19732, 124592, 16144, 23530, 114622, 16144, 119008, 15682, 15120, 30832, 16556, 117587, 105284, 33857, 29295, 17620, 107277, 33541, 1811, 117587, 105284, 33857, 16144, 111831, 119703, 107803, 32977, 57903, 33541, 29295, 5486, 163, 65620, 53610, 33208, 53953, 16144, 111831, 29295, 30591, 104984, 77693, 29295, 117587, 105284, 16144, 33857, 19732, 78698, 107290, 56965, 121953, 124897, 9174, 77386, 108056, 19732, 52563, 116216, 33541, 106609, 567, 114617, 244, 105284, 44416, 48249, 16144, 44971, 57207, 70563, 43167, 198, 117587, 105284, 44416, 48249, 16144, 44971, 57207, 70563, 43167, 15682, 111800, 52084, 126693, 58911, 108680, 20834, 38144, 50834, 33541, 1811, 101523, 227, 48634, 109904, 116229, 104088, 59739, 105784, 100909, 55031, 27704, 109315, 123017, 57980, 117201, 109954, 9174, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 124911, 95221, 44971, 57207, 70563, 1811, 103167, 117587, 105284, 26854, 39850, 78683, 109496, 12425, 25446, 123011, 62004, 9174, 117587, 105284, 44416, 48249, 44971, 57207, 70563, 123011, 62004, 1811, 23, 7501, 101576, 102, 72342, 28713, 86127, 112197, 125683, 62004, 806, 102647, 19732, 5486, 37046, 110020, 21105, 103, 16995, 22324, 50834, 109033, 58942, 25333, 198, 567, 68042, 16073, 91482, 78683, 72661, 117587, 105284, 44416, 48249, 198, 27384, 46034, 109713, 91482, 78683, 72661, 117587, 105284, 44416, 48249, 47043, 16144, 25446, 108422, 85791, 58942, 30512, 114300, 76947, 61689, 1811, 124807, 76739, 67075, 16325, 15682, 109713, 91482, 78683, 102456, 114016, 99959, 39850, 6447, 102677, 113334, 72661, 100604, 16144, 38641, 9174, 11144, 18, 32149, 9953, 16556, 24, 13, 22, 7501, 101576, 102, 72342, 28713, 11199, 109713, 91482, 78683, 16556, 117587, 105284, 44416, 48249, 33334, 125683, 62004, 11144, 64810, 52884, 16073, 25197, 44971, 52884, 16073, 112479, 104774, 101198, 37823, 108941, 84477, 16556, 117587, 105284, 44416, 48249, 54926, 105110, 67645, 16144, 47043, 11571, 106369, 16995, 106624, 38144, 103167, 117587, 105284, 126738, 125683, 62004, 39850, 78683, 109496, 198, 42634, 38248, 121, 113883, 90962, 22398, 22398, 39850, 117587, 105284, 44416, 48249, 39850, 78683, 109496, 20, 102647, 1811, 42634, 71493, 103672, 105110, 33334, 113351, 16995, 124387, 125764, 111243, 4012, 95532, 567, 106547, 102456, 116696, 107060, 72661, 117587, 105284, 44416, 48249, 198, 27384, 46034, 48915, 102456, 116696, 107060, 16144, 72516, 77181, 5486, 87641, 101668, 47884, 102267, 118, 9458, 105988, 37823, 16144, 105494, 29295, 101828, 73361, 16556, 100604, 117539, 65743, 9458, 102212, 108171, 16556, 30775, 253, 102189, 102040, 113155, 38248, 105, 11972, 104309, 5486, 91774, 28713, 30832, 105352, 58666, 103868, 21105, 251, 30297, 26854, 53953, 29295, 121771, 98369, 121642, 116216, 61689, 57980, 9174, 117587, 105284, 44416, 48249, 16325, 72661, 48915, 102456, 4012, 6447, 109006, 117355, 20230, 117587, 105284, 90962, 52591, 103082, 38144, 33334, 16995, 106624, 126407, 109315, 48915, 102456, 116696, 107060, 39850, 78683, 109496, 123011, 62004, 198, 567, 220, 123011, 62004, 198, 71689, 5486, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 15682, 5486, 71493, 42634, 102540, 44416, 48249, 124807, 76739, 67075, 30512, 102832, 61398, 20230, 21105, 103, 29295, 33503, 32977, 17620, 107277, 126172, 47884, 37046, 110020, 32977, 83747, 103470, 5486, 103350, 124299, 25333, 105352, 121507, 57942, 95, 29295, 108285, 115737, 76947, 61689, 1811, 52884, 103202, 104856, 76947, 15682, 33420, 58942, 100481, 100472, 9039, 104680, 16144, 124807, 76739, 67075, 107118, 121953, 5486, 120613, 29295, 124500, 30369, 125396, 15682, 30591, 114598, 106116, 113727, 24273, 15682, 17039, 102800, 101538, 45893, 121711, 23187, 100815, 54926, 123253, 1811, 16995, 58942, 5486, 108031, 23187, 100815, 109768, 104533, 78244, 114598, 104712, 123253, 9174, 30813, 30591, 108149, 112568, 26854, 111331, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 30512, 32018, 107436, 5486, 30813, 42891, 27929, 47884, 110589, 55031, 103350, 124299, 103801, 109954, 6447, 128001, 128000, 20713, 59983, 16937, 37656, 109311, 32018, 56051, 104412, 106382, 30512, 103435, 229, 106759, 38093, 50667, 16144, 106382, 11883, 20230, 105843, 38144, 101732, 30926, 81742, 198, 61337, 11883, 101918, 124905, 76947, 20834, 105714, 56051, 110115, 5486, 118522, 109060, 101513, 97518, 30512, 107740, 56051, 102944 ]
[ 103306, 106116, 107740, 103732, 100472, 107803, 16144, 104412, 106382, 30512, 109311, 32018, 54926, 41007, 16556, 5486, 104412, 106382, 50667, 30512, 16937, 37656, 109311, 32018, 107113, 114754, 16995, 79721, 113637, 116537, 115847, 116749, 105352, 5486, 29220, 90962, 123218, 31640, 35330, 29295, 109249, 117856, 106382, 20230, 17905, 110498, 72342, 84389, 101732, 109249, 117856, 57326, 93488, 30512, 107740, 39926, 109249, 117856, 15024, 5486, 29220, 90962, 123218, 114475, 108761, 21105, 103, 29295, 33503, 106116, 106592, 58655, 102639, 101860, 20230, 104412, 106382, 30512, 109311, 32018, 54926, 123160, 16937, 37656, 23039, 101399, 105352, 82317, 104127, 16995, 79721, 9174, 16937, 37656, 23039, 101399, 30512, 114667, 20230, 103435, 110, 120544, 50338, 25132, 229, 103646, 51330, 24273, 15682, 106116, 126120, 123457, 106106, 16995, 126014, 58942, 30512, 29172, 72718, 121256, 1811, 116510, 7190, 234, 30590, 106053, 103507, 25963, 59983, 20713, 59983, 25963, 34617, 8239, 112, 122502, 106053, 27452, 20713, 25963, 20713, 66224, 90581, 34617, 25963, 105180, 31938, 113, 102924, 10110, 49409, 119194, 46456, 61337, 9458, 22656, 126014, 7705, 58721, 38641, 9174, 51330, 58721, 16144, 66378, 17599, 112, 15682, 5486, 16937, 37656, 109311, 32018, 16556, 50928, 28713, 35330, 103842, 255, 71289, 29220, 90962, 123218, 30512, 5486, 20834, 105714, 61826, 16144, 107430, 102351, 33503, 110792, 103435, 229, 106759, 38093, 106382, 104309, 20230, 105843, 38144, 101732, 100909, 38641, 9174, 22656, 14558, 16556, 101307, 58655, 110276, 104468, 5486, 58721, 13372, 105352, 26854, 103836, 102433, 31938, 113, 102924, 38641, 9174, 103435, 110, 120544, 50338, 25132, 229, 103646, 123532, 101275, 102351, 9458, 53229, 58655, 15682, 5486, 33563, 117126, 126913, 16144, 108285, 103438, 76171, 71634, 119539, 102514, 102677, 30590, 25129, 20230, 105693, 24273, 38641, 1811, 108285, 103438, 76171, 71634, 119539, 102514, 15682, 5486, 116510, 7190, 234, 23530, 123727, 31938, 113, 102924, 91077, 20230, 126202, 19000, 21105, 103, 29295, 33503, 5486, 49409, 119194, 32943, 37087, 103438, 16144, 31938, 113, 102924, 91077, 30512, 120824, 99397, 15024, 5486, 91739, 241, 40526, 61337, 102351, 113115, 39926, 33563, 117126, 112167, 101275, 16144, 112113, 5486, 53283, 109375, 30512, 64467, 106839, 54926, 107734, 107430, 38641, 9174, 108285, 103438, 76171, 71634, 119539, 102514, 125334, 105714, 56051, 104983, 102052, 5486, 103882, 102456, 30512, 112183, 30297, 103435, 229, 106759, 38093, 29295, 87447, 113497, 107001, 105908, 43240, 47884, 57903, 79721, 120234, 37656, 109311, 32018, 16556, 50928, 109115, 104412, 106382, 50667, 15682, 110371, 103435, 229, 106759, 38093, 106382, 50667, 20230, 105843, 38144, 102204, 100481, 38144, 5486, 116254, 90397, 233, 20230, 86127, 109904, 111654, 32018, 30512, 112624, 28713, 17663, 113009, 104412, 106382, 50667, 29295, 50520, 238, 18655, 84389, 101732, 104865, 15682, 50034, 115590, 26854, 30926, 81742, 16556, 56051, 9174, 51330, 52884, 77750, 72661, 99849, 27479, 32149, 78244, 82317, 39926, 105898, 19732, 108086, 5486, 109203, 108761, 9458, 105068, 49988, 123160, 35330, 103842, 255, 109904, 16937, 37656, 23039, 101399, 109853, 15682, 5486, 35330, 109518, 16144, 93132, 112649, 124233, 121140, 5486, 103435, 110, 120544, 50338, 25132, 229, 29295, 19361, 126120, 108176, 27452, 29295, 43240, 47884, 64121, 102204, 33541, 10110, 101828, 102465, 115981, 104817, 102700, 44620, 8239, 112, 122502, 116690, 126014, 29245, 253, 16144, 103350, 102781, 36761, 118590, 33122, 30926, 25333, 102781, 5486, 30537, 25963, 41401, 5486, 50211, 34617, 27113, 116335, 34617, 68093, 68093, 117183, 126229, 75376, 114940, 106053, 27452, 15682, 5486, 35330, 103842, 255, 20230, 117139, 104004, 16937, 37656, 23039, 101399, 109853, 5486, 8239, 112, 122502, 30046, 20230, 16906, 111, 102800, 122225, 123410, 101427, 122, 70141, 115991, 33541, 9174, 80673, 5486, 108895, 56051, 16906, 111, 102800, 122225, 15682, 5486, 114731, 102781, 61826, 55031, 50520, 238, 18655, 56051, 33334, 35330, 30512, 5486, 107430, 75267, 113245, 103435, 229, 106759, 38093, 106382, 11883, 20230, 105843, 40265, 107113, 105933, 107803, 105352, 100525, 98, 40265, 54926, 105879, 109954, 32149, 95532, 25963, 59983, 124572, 117120, 17620, 58721, 16144, 45736, 114940, 19732, 123213, 126014, 16144, 30590, 114940, 19732, 16556, 122225, 29295, 17620, 32149, 104028, 198, 22656, 14558, 16556, 66378, 17599, 112, 9554, 36785, 106046, 125167, 104468, 5486, 124572, 117120, 17620, 58721, 30512, 126913, 56051, 45736, 114940, 19732, 123213, 126014, 30512, 126913, 56051, 30590, 114940, 19732, 16556, 122225, 29295, 89151, 116900, 110276, 100909, 38641, 9174, 124572, 117120, 17620, 58721, 30512, 126913, 56051, 45736, 114940, 10110, 116510, 7190, 234, 45736, 104662, 103507, 24186, 59983, 78250, 59983, 25963, 44597, 8239, 112, 122502, 106053, 27452, 20713, 25963, 20713, 66224, 90581, 46702, 34617, 119735, 111476, 13177, 108324, 58655, 114754, 108285, 103438, 76171, 71634, 119539, 102514, 102677, 127177, 91077, 102351, 30512, 64467, 106839, 54926, 80195, 75267, 20230, 105693, 100909, 5486, 108324, 58655, 107707, 20834, 105714, 61826, 15682, 108285, 119318, 116310, 20230, 82317, 104127, 108086, 5486, 120824, 99397, 61826, 16144, 31938, 113, 102924, 91077, 16556, 103435, 229, 106759, 38093, 29295, 43240, 47884, 87447, 113497, 110731, 100909, 55031, 126693, 5486, 108324, 58655, 17792, 100604, 15024, 120824, 99397, 61826, 16144, 31938, 113, 102924, 91077, 61337, 102351, 29295, 37087, 119064, 86127, 109904, 38093, 40862, 103306, 103435, 229, 106759, 38093, 125523, 113497, 107113, 107118, 113727, 111108, 47884, 5486, 101307, 108324, 58655, 17792, 55031, 118789, 109904, 64467, 20379, 29295, 104435, 103306, 32977, 5486, 121101, 16144, 109337, 101544, 17905, 117083, 32149, 38093, 40862, 115287, 19732, 78698, 105262, 112973, 109683, 103195, 1811, 120824, 99397, 61826, 16144, 31938, 113, 102924, 91077, 61337, 102351, 110792, 103435, 229, 106759, 38093, 50667, 16144, 106382, 11883, 30512, 37087, 119064, 86127, 109904, 103435, 229, 106759, 38093, 106382, 19732, 64121, 30369, 109335, 120019, 16556, 26854, 10646, 16995, 198, 104309, 19732, 106053, 20379, 15024, 5486, 103435, 110, 120544, 50338, 25132, 229, 15682, 43568, 126120, 118816, 122225, 121256, 9174, 85701, 113115, 15024, 5486, 30590, 114940, 15682, 111476, 13177, 53229, 58655, 29295, 110284, 56051, 103435, 229, 106759, 38093, 127253, 102456, 30926, 16144, 101513, 38093, 29295, 101307, 58655, 16144, 107430, 102781, 118279, 20230, 75146, 109669, 47884, 109335, 110322, 26955, 254, 17905, 30297, 32149, 29295, 123671, 101860, 110371, 28542, 121960, 86127, 109904, 102944, 19732, 64121, 30369, 102717, 126660, 1811, 107430, 102781, 123863, 103129, 78244, 50667, 15682, 5486, 101307, 58655, 125030, 114598, 19361, 105576, 103195, 19732, 107624, 95001, 54926, 89783, 30590, 15682, 101182, 29295, 5486, 108895, 56051, 103129, 78244, 50667, 19732, 103882, 102456, 16144, 106382, 11883, 107118, 74245, 43514, 114556, 89046, 21105, 103, 16995, 55031, 5486, 17905, 61304, 16144, 107624, 95001, 29295, 107001, 100909, 55031, 17905, 61304, 16144, 106382, 11883, 29295, 101307, 58655, 16144, 113009, 106382, 33420, 107001, 125231, 102944, 19732, 64121, 30369, 109335, 118765, 1811, 56051, 29295, 76947, 5486, 17905, 61304, 16144, 106382, 11883, 15682, 53229, 58655, 16144, 86127, 109904, 102944, 102677, 125231, 16556, 5486, 16937, 25333, 108761, 50928, 16144, 114640, 32977, 104736, 62004, 110071, 105879, 57903, 5486, 50520, 238, 18655, 102677, 107624, 95001, 15682, 120019, 103195, 1811, 111329, 104309, 19732, 106053, 20379, 15024, 5486, 103435, 110, 120544, 50338, 25132, 229, 15682, 19361, 126120, 118816, 122225, 121256, 9174, 34617, 59983, 103435, 110, 120544, 50338, 25132, 229, 16144, 31540, 33476, 20230, 64121, 30369, 107430, 75267, 16144, 103435, 229, 106759, 38093, 113115, 54926, 101083, 50021, 16144, 60634, 31431, 104721, 116547, 198, 102159, 105390, 20230, 109834, 103868, 102987, 16995, 106046, 100472, 112973, 122603, 114940, 126036, 30590, 114940, 120332, 29295, 16906, 111, 102800, 122225, 126198, 100909, 38641, 9174, 108936, 105242, 103306, 112844, 19732, 122603, 114940, 120332, 29295, 30590, 114940, 126036, 33563, 106154, 109904, 122225, 30512, 21105, 234, 43514, 26854, 101427, 122, 70141, 115991, 33541, 9174, 45736, 114940, 29295, 103435, 110, 120544, 50338, 25132, 229, 54926, 108680, 16144, 102944, 111769, 117408, 15120, 24273, 16556, 5486, 30590, 114940, 29295, 103435, 110, 120544, 50338, 25132, 229, 120019, 118816, 122225, 56051, 104468, 5486, 107430, 75267, 16144, 103435, 229, 106759, 38093, 113115, 54926, 101083, 50021, 16144, 60634, 31431, 104721, 116547, 30512, 95543, 106482, 103792, 16144, 111769, 32149, 106046, 123671, 33541, 9174, 103188, 86436, 5486, 66776, 119695, 16144, 103435, 229, 106759, 38093, 29295, 107430, 75267, 113245, 53283, 109375, 9458, 118552, 16144, 108044, 105005, 20230, 103087, 107113, 28190, 15682, 105693, 123253, 15024, 5486, 112599, 72661, 111419, 16144, 121432, 30512, 28873, 28713, 103792, 16144, 111769, 32149, 106046, 61689, 9174, 80673, 5486, 117876, 16144, 87177, 29295, 26854, 107001, 109335, 105693, 103306, 32977, 5486, 119695, 16144, 75267, 19732, 5486, 66776, 119695, 16144, 75267, 30512, 5486, 15682, 121381, 111842, 24775, 103283, 15024, 5486, 76622, 100204, 62004, 116825, 107441, 23039, 108895, 102677, 112973, 113146, 16144, 89753, 33121, 116787, 110371, 89753, 33121, 15682, 108948, 27929, 124749, 82533, 115464, 109335, 100604, 108995, 106046, 61689, 1811, 108895, 56051, 113146, 16144, 104721, 33208, 20230, 112163, 99750, 115287, 112973, 5486, 30590, 114940, 16144, 122225, 26854, 120900, 106046, 61689, 9174, 35330, 103842, 255, 20230, 17129, 59739, 78183, 30369, 66776, 108010, 23039, 101399, 113115, 54926, 114940, 106053, 32938, 16144, 110783, 110095, 15682, 115515, 74482, 33541, 33541, 16906, 111, 106624, 26854, 76947, 23039, 47884, 105908, 103911, 101067, 84389, 33541, 1811, 108695, 16144, 35330, 103842, 255, 16144, 40452, 15682, 5486, 33710, 106240, 101983, 110104, 101200, 5486, 66378, 20230, 95221, 30512, 47000, 107441, 33334, 47884, 105908, 109215, 38641, 1811, 128001, 128000, 33334, 73361, 15682, 102433, 16144, 36668, 102456, 16556, 56051, 119520, 5486, 60358, 8107, 15682, 124535, 102456, 32977, 115079, 107290, 108948, 73361, 16144, 32018, 62004, 110071, 57207, 107060, 29295, 83747, 123733, 76947, 50834, 79721, 1811, 124535, 32977, 19732, 111243, 58666, 103868, 102800, 119627, 108948, 73361, 30512, 73361, 110918, 117657, 118733, 80805, 113883, 53229, 42506, 103195, 31809, 114452, 110918, 16144, 31640, 11883, 103306, 33655, 30297, 105908, 103082, 5486, 102456, 116450, 16144, 66953, 37823, 76739, 38248, 115, 78205, 16073, 29295, 122270, 115079, 58942, 33541, 9174, 73361, 110918, 124905, 30297, 118733, 33420, 106382, 30046, 105352, 21990, 106518, 30046, 105352, 104712, 100909, 109669, 47884, 62004, 38641, 1811, 73361, 110918, 16144, 104712, 110229, 30512, 48154, 126362, 78434, 9174, 567, 52561, 226, 113598, 95001, 29295, 126574, 198, 73361, 110918, 15682, 33334, 73361, 30512, 110918, 20230, 103792, 105879, 33334, 73361, 16144, 15308, 226, 113598, 30512, 105557, 116186, 104043, 118314, 123332, 39926, 57903, 33541, 122262, 73361, 15682, 163, 65620, 53610, 33208, 53953, 116787, 106272, 39880, 101198, 101335, 108602, 118283, 39880, 29295, 45736, 47884, 112160, 114262, 20230, 125764, 30369, 118733, 47307, 115695, 29220, 105284, 16144, 15308, 226, 113598, 16144, 107246, 110226, 96455, 30512, 122765, 38144, 120700, 33541, 9174, 73361, 110918, 105352, 42016, 103826, 16144, 105908, 78244, 105262, 105879, 5486, 48154, 114053, 30512, 110904, 33014, 16556, 125764, 30369, 126036, 5486, 73361, 110918, 19732, 47307, 115695, 29220, 105284, 16556, 19967, 30369, 102944, 5486, 27452, 116285, 33334, 53901, 64121, 123307, 50834, 71289, 117203, 124535, 123160, 45736, 15308, 226, 113598, 95001, 16144, 102944, 19732, 126419, 20230, 104873, 22649, 112990, 5486, 105755, 15308, 226, 113598, 95001, 16144, 107246, 110226, 30512, 122765, 30369, 105908, 108608, 16144, 38641, 9174, 53900, 108948, 73361, 71289, 73361, 110918, 102052, 5486, 163, 65620, 53610, 33208, 53953, 20230, 96412, 17129, 104028, 102456, 53953, 103721, 232, 109205, 30512, 15682, 100204, 62004, 5486, 33014, 16144, 104873, 45829, 30512, 64531, 105262, 91482, 47307, 101198, 16073, 5486, 110135, 30512, 121313, 117657, 115145, 57207, 65299, 91062, 5486, 80631, 100, 104473, 30512, 103181, 104699, 109673, 5486, 110135, 30512, 106391, 13153, 54926, 68759, 41758, 102750, 57207, 65299, 91062, 5486, 104398, 112506, 16144, 115376, 30512, 103129, 105784, 127022, 107049, 249, 32977, 96412, 123606, 33541, 9174, 104959, 73361, 124911, 105352, 34208, 102456, 29295, 113614, 102456, 103306, 26130, 30832, 107001, 104468, 5486, 36668, 102456, 28713, 30369, 33334, 73361, 20230, 15308, 226, 113598, 29295, 21105, 96, 107277, 50520, 108, 17129, 103836, 115789, 31634, 63212, 112028, 59739, 103306, 113727, 102204, 33541, 118855, 108948, 73361, 71289, 73361, 110918, 15682, 110904, 33014, 126194, 5486, 127177, 47307, 115695, 29220, 105284, 71289, 102212, 108171, 104309, 19732, 126419, 20230, 125764, 30369, 106592, 102832, 61398, 116446, 101182, 115789, 5486, 110022, 100204, 38144, 99046, 224, 18655, 54926, 15308, 226, 113598, 95001, 30512, 45736, 107436, 113614, 26854, 33014, 126694, 30369, 109243, 29245, 96, 104856, 103836, 123253, 9174, 567, 121158, 110918, 15682, 118953, 57933, 118804, 102540, 198, 39880, 44971, 33710, 104603, 115247, 109606, 15682, 21990, 102625, 114556, 78183, 30369, 125478, 26854, 109606, 38641, 1811, 39880, 44971, 33710, 104603, 11972, 111571, 103397, 15682, 105324, 107246, 32648, 39276, 16144, 108901, 40053, 71289, 39880, 96452, 106384, 32131, 62903, 57207, 38248, 115, 78205, 48552, 32977, 125119, 31431, 30297, 30369, 118733, 5486, 102456, 30926, 113468, 113801, 125119, 107001, 126513, 58426, 113385, 53953, 105284, 103195, 119008, 30512, 111098, 76622, 123207, 26854, 31431, 107515, 9174, 31809, 114452, 15682, 39880, 44971, 33710, 104603, 11972, 30512, 125119, 15024, 126172, 16995, 119008, 112028, 59739, 38641, 1811, 110924, 102052, 118953, 57933, 16073, 102677, 47307, 115695, 29220, 105284, 112028, 104091, 29295, 97518, 116547, 33541, 1811, 80805, 113883, 32977, 120240, 31431, 99750, 71289, 119375, 123457, 19967, 30369, 32977, 19732, 117282, 102944, 119627, 5486, 118953, 57933, 16073, 20230, 39880, 44971, 33710, 104603, 11972, 95543, 106608, 125334, 38144, 114732, 19732, 5486, 124535, 71289, 30297, 67645, 25827, 120268, 114452, 124905, 103836, 102944, 15682, 125764, 33121, 123733, 31431, 33541, 119520, 102321, 31640, 16144, 102433, 77181, 116898, 85791, 103171, 102456, 103234, 20230, 31809, 114452, 29295, 33655, 78183, 115032, 105879, 121771, 115867, 119008, 29295, 125764, 33121, 123733, 76947, 114732, 16144, 38641, 9174, 110924, 16556, 31809, 114452, 110918, 16144, 31640, 11883, 103306 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103306, 106116, 107740, 103732, 100472, 107803, 16144, 104412, 106382, 30512, 109311, 32018, 54926, 41007, 16556, 5486, 104412, 106382, 50667, 30512, 16937, 37656, 109311, 32018, 107113, 114754, 16995, 79721, 113637, 116537, 115847, 116749, 105352, 5486, 29220, 90962, 123218, 31640, 35330, 29295, 109249, 117856, 106382, 20230, 17905, 110498, 72342, 84389, 101732, 109249, 117856, 57326, 93488, 30512, 107740, 39926, 109249, 117856, 15024, 5486, 29220, 90962, 123218, 114475, 108761, 21105, 103, 29295, 33503, 106116, 106592, 58655, 102639, 101860, 20230, 104412, 106382, 30512, 109311, 32018, 54926, 123160, 16937, 37656, 23039, 101399, 105352, 82317, 104127, 16995, 79721, 9174, 16937, 37656, 23039, 101399, 30512, 114667, 20230, 103435, 110, 120544, 50338, 25132, 229, 103646, 51330, 24273, 15682, 106116, 126120, 123457, 106106, 16995, 126014, 58942, 30512, 29172, 72718, 121256, 1811, 116510, 7190, 234, 30590, 106053, 103507, 25963, 59983, 20713, 59983, 25963, 34617, 8239, 112, 122502, 106053, 27452, 20713, 25963, 20713, 66224, 90581, 34617, 25963, 105180, 31938, 113, 102924, 10110, 49409, 119194, 46456, 61337, 9458, 22656, 126014, 7705, 58721, 38641, 9174, 51330, 58721, 16144, 66378, 17599, 112, 15682, 5486, 16937, 37656, 109311, 32018, 16556, 50928, 28713, 35330, 103842, 255, 71289, 29220, 90962, 123218, 30512, 5486, 20834, 105714, 61826, 16144, 107430, 102351, 33503, 110792, 103435, 229, 106759, 38093, 106382, 104309, 20230, 105843, 38144, 101732, 100909, 38641, 9174, 22656, 14558, 16556, 101307, 58655, 110276, 104468, 5486, 58721, 13372, 105352, 26854, 103836, 102433, 31938, 113, 102924, 38641, 9174, 103435, 110, 120544, 50338, 25132, 229, 103646, 123532, 101275, 102351, 9458, 53229, 58655, 15682, 5486, 33563, 117126, 126913, 16144, 108285, 103438, 76171, 71634, 119539, 102514, 102677, 30590, 25129, 20230, 105693, 24273, 38641, 1811, 108285, 103438, 76171, 71634, 119539, 102514, 15682, 5486, 116510, 7190, 234, 23530, 123727, 31938, 113, 102924, 91077, 20230, 126202, 19000, 21105, 103, 29295, 33503, 5486, 49409, 119194, 32943, 37087, 103438, 16144, 31938, 113, 102924, 91077, 30512, 120824, 99397, 15024, 5486, 91739, 241, 40526, 61337, 102351, 113115, 39926, 33563, 117126, 112167, 101275, 16144, 112113, 5486, 53283, 109375, 30512, 64467, 106839, 54926, 107734, 107430, 38641, 9174, 108285, 103438, 76171, 71634, 119539, 102514, 125334, 105714, 56051, 104983, 102052, 5486, 103882, 102456, 30512, 112183, 30297, 103435, 229, 106759, 38093, 29295, 87447, 113497, 107001, 105908, 43240, 47884, 57903, 79721, 120234, 37656, 109311, 32018, 16556, 50928, 109115, 104412, 106382, 50667, 15682, 110371, 103435, 229, 106759, 38093, 106382, 50667, 20230, 105843, 38144, 102204, 100481, 38144, 5486, 116254, 90397, 233, 20230, 86127, 109904, 111654, 32018, 30512, 112624, 28713, 17663, 113009, 104412, 106382, 50667, 29295, 50520, 238, 18655, 84389, 101732, 104865, 15682, 50034, 115590, 26854, 30926, 81742, 16556, 56051, 9174, 51330, 52884, 77750, 72661, 99849, 27479, 32149, 78244, 82317, 39926, 105898, 19732, 108086, 5486, 109203, 108761, 9458, 105068, 49988, 123160, 35330, 103842, 255, 109904, 16937, 37656, 23039, 101399, 109853, 15682, 5486, 35330, 109518, 16144, 93132, 112649, 124233, 121140, 5486, 103435, 110, 120544, 50338, 25132, 229, 29295, 19361, 126120, 108176, 27452, 29295, 43240, 47884, 64121, 102204, 33541, 10110, 101828, 102465, 115981, 104817, 102700, 44620, 8239, 112, 122502, 116690, 126014, 29245, 253, 16144, 103350, 102781, 36761, 118590, 33122, 30926, 25333, 102781, 5486, 30537, 25963, 41401, 5486, 50211, 34617, 27113, 116335, 34617, 68093, 68093, 117183, 126229, 75376, 114940, 106053, 27452, 15682, 5486, 35330, 103842, 255, 20230, 117139, 104004, 16937, 37656, 23039, 101399, 109853, 5486, 8239, 112, 122502, 30046, 20230, 16906, 111, 102800, 122225, 123410, 101427, 122, 70141, 115991, 33541, 9174, 80673, 5486, 108895, 56051, 16906, 111, 102800, 122225, 15682, 5486, 114731, 102781, 61826, 55031, 50520, 238, 18655, 56051, 33334, 35330, 30512, 5486, 107430, 75267, 113245, 103435, 229, 106759, 38093, 106382, 11883, 20230, 105843, 40265, 107113, 105933, 107803, 105352, 100525, 98, 40265, 54926, 105879, 109954, 32149, 95532, 25963, 59983, 124572, 117120, 17620, 58721, 16144, 45736, 114940, 19732, 123213, 126014, 16144, 30590, 114940, 19732, 16556, 122225, 29295, 17620, 32149, 104028, 198, 22656, 14558, 16556, 66378, 17599, 112, 9554, 36785, 106046, 125167, 104468, 5486, 124572, 117120, 17620, 58721, 30512, 126913, 56051, 45736, 114940, 19732, 123213, 126014, 30512, 126913, 56051, 30590, 114940, 19732, 16556, 122225, 29295, 89151, 116900, 110276, 100909, 38641, 9174, 124572, 117120, 17620, 58721, 30512, 126913, 56051, 45736, 114940, 10110, 116510, 7190, 234, 45736, 104662, 103507, 24186, 59983, 78250, 59983, 25963, 44597, 8239, 112, 122502, 106053, 27452, 20713, 25963, 20713, 66224, 90581, 46702, 34617, 119735, 111476, 13177, 108324, 58655, 114754, 108285, 103438, 76171, 71634, 119539, 102514, 102677, 127177, 91077, 102351, 30512, 64467, 106839, 54926, 80195, 75267, 20230, 105693, 100909, 5486, 108324, 58655, 107707, 20834, 105714, 61826, 15682, 108285, 119318, 116310, 20230, 82317, 104127, 108086, 5486, 120824, 99397, 61826, 16144, 31938, 113, 102924, 91077, 16556, 103435, 229, 106759, 38093, 29295, 43240, 47884, 87447, 113497, 110731, 100909, 55031, 126693, 5486, 108324, 58655, 17792, 100604, 15024, 120824, 99397, 61826, 16144, 31938, 113, 102924, 91077, 61337, 102351, 29295, 37087, 119064, 86127, 109904, 38093, 40862, 103306, 103435, 229, 106759, 38093, 125523, 113497, 107113, 107118, 113727, 111108, 47884, 5486, 101307, 108324, 58655, 17792, 55031, 118789, 109904, 64467, 20379, 29295, 104435, 103306, 32977, 5486, 121101, 16144, 109337, 101544, 17905, 117083, 32149, 38093, 40862, 115287, 19732, 78698, 105262, 112973, 109683, 103195, 1811, 120824, 99397, 61826, 16144, 31938, 113, 102924, 91077, 61337, 102351, 110792, 103435, 229, 106759, 38093, 50667, 16144, 106382, 11883, 30512, 37087, 119064, 86127, 109904, 103435, 229, 106759, 38093, 106382, 19732, 64121, 30369, 109335, 120019, 16556, 26854, 10646, 16995, 198, 104309, 19732, 106053, 20379, 15024, 5486, 103435, 110, 120544, 50338, 25132, 229, 15682, 43568, 126120, 118816, 122225, 121256, 9174, 85701, 113115, 15024, 5486, 30590, 114940, 15682, 111476, 13177, 53229, 58655, 29295, 110284, 56051, 103435, 229, 106759, 38093, 127253, 102456, 30926, 16144, 101513, 38093, 29295, 101307, 58655, 16144, 107430, 102781, 118279, 20230, 75146, 109669, 47884, 109335, 110322, 26955, 254, 17905, 30297, 32149, 29295, 123671, 101860, 110371, 28542, 121960, 86127, 109904, 102944, 19732, 64121, 30369, 102717, 126660, 1811, 107430, 102781, 123863, 103129, 78244, 50667, 15682, 5486, 101307, 58655, 125030, 114598, 19361, 105576, 103195, 19732, 107624, 95001, 54926, 89783, 30590, 15682, 101182, 29295, 5486, 108895, 56051, 103129, 78244, 50667, 19732, 103882, 102456, 16144, 106382, 11883, 107118, 74245, 43514, 114556, 89046, 21105, 103, 16995, 55031, 5486, 17905, 61304, 16144, 107624, 95001, 29295, 107001, 100909, 55031, 17905, 61304, 16144, 106382, 11883, 29295, 101307, 58655, 16144, 113009, 106382, 33420, 107001, 125231, 102944, 19732, 64121, 30369, 109335, 118765, 1811, 56051, 29295, 76947, 5486, 17905, 61304, 16144, 106382, 11883, 15682, 53229, 58655, 16144, 86127, 109904, 102944, 102677, 125231, 16556, 5486, 16937, 25333, 108761, 50928, 16144, 114640, 32977, 104736, 62004, 110071, 105879, 57903, 5486, 50520, 238, 18655, 102677, 107624, 95001, 15682, 120019, 103195, 1811, 111329, 104309, 19732, 106053, 20379, 15024, 5486, 103435, 110, 120544, 50338, 25132, 229, 15682, 19361, 126120, 118816, 122225, 121256, 9174, 34617, 59983, 103435, 110, 120544, 50338, 25132, 229, 16144, 31540, 33476, 20230, 64121, 30369, 107430, 75267, 16144, 103435, 229, 106759, 38093, 113115, 54926, 101083, 50021, 16144, 60634, 31431, 104721, 116547, 198, 102159, 105390, 20230, 109834, 103868, 102987, 16995, 106046, 100472, 112973, 122603, 114940, 126036, 30590, 114940, 120332, 29295, 16906, 111, 102800, 122225, 126198, 100909, 38641, 9174, 108936, 105242, 103306, 112844, 19732, 122603, 114940, 120332, 29295, 30590, 114940, 126036, 33563, 106154, 109904, 122225, 30512, 21105, 234, 43514, 26854, 101427, 122, 70141, 115991, 33541, 9174, 45736, 114940, 29295, 103435, 110, 120544, 50338, 25132, 229, 54926, 108680, 16144, 102944, 111769, 117408, 15120, 24273, 16556, 5486, 30590, 114940, 29295, 103435, 110, 120544, 50338, 25132, 229, 120019, 118816, 122225, 56051, 104468, 5486, 107430, 75267, 16144, 103435, 229, 106759, 38093, 113115, 54926, 101083, 50021, 16144, 60634, 31431, 104721, 116547, 30512, 95543, 106482, 103792, 16144, 111769, 32149, 106046, 123671, 33541, 9174, 103188, 86436, 5486, 66776, 119695, 16144, 103435, 229, 106759, 38093, 29295, 107430, 75267, 113245, 53283, 109375, 9458, 118552, 16144, 108044, 105005, 20230, 103087, 107113, 28190, 15682, 105693, 123253, 15024, 5486, 112599, 72661, 111419, 16144, 121432, 30512, 28873, 28713, 103792, 16144, 111769, 32149, 106046, 61689, 9174, 80673, 5486, 117876, 16144, 87177, 29295, 26854, 107001, 109335, 105693, 103306, 32977, 5486, 119695, 16144, 75267, 19732, 5486, 66776, 119695, 16144, 75267, 30512, 5486, 15682, 121381, 111842, 24775, 103283, 15024, 5486, 76622, 100204, 62004, 116825, 107441, 23039, 108895, 102677, 112973, 113146, 16144, 89753, 33121, 116787, 110371, 89753, 33121, 15682, 108948, 27929, 124749, 82533, 115464, 109335, 100604, 108995, 106046, 61689, 1811, 108895, 56051, 113146, 16144, 104721, 33208, 20230, 112163, 99750, 115287, 112973, 5486, 30590, 114940, 16144, 122225, 26854, 120900, 106046, 61689, 9174, 35330, 103842, 255, 20230, 17129, 59739, 78183, 30369, 66776, 108010, 23039, 101399, 113115, 54926, 114940, 106053, 32938, 16144, 110783, 110095, 15682, 115515, 74482, 33541, 33541, 16906, 111, 106624, 26854, 76947, 23039, 47884, 105908, 103911, 101067, 84389, 33541, 1811, 108695, 16144, 35330, 103842, 255, 16144, 40452, 15682, 5486, 33710, 106240, 101983, 110104, 101200, 5486, 66378, 20230, 95221, 30512, 47000, 107441, 33334, 47884, 105908, 109215, 38641, 1811, 128001, 128000, 33334, 73361, 15682, 102433, 16144, 36668, 102456, 16556, 56051, 119520, 5486, 60358, 8107, 15682, 124535, 102456, 32977, 115079, 107290, 108948, 73361, 16144, 32018, 62004, 110071, 57207, 107060, 29295, 83747, 123733, 76947, 50834, 79721, 1811, 124535, 32977, 19732, 111243, 58666, 103868, 102800, 119627, 108948, 73361, 30512, 73361, 110918, 117657, 118733, 80805, 113883, 53229, 42506, 103195, 31809, 114452, 110918, 16144, 31640, 11883, 103306, 33655, 30297, 105908, 103082, 5486, 102456, 116450, 16144, 66953, 37823, 76739, 38248, 115, 78205, 16073, 29295, 122270, 115079, 58942, 33541, 9174, 73361, 110918, 124905, 30297, 118733, 33420, 106382, 30046, 105352, 21990, 106518, 30046, 105352, 104712, 100909, 109669, 47884, 62004, 38641, 1811, 73361, 110918, 16144, 104712, 110229, 30512, 48154, 126362, 78434, 9174, 567, 52561, 226, 113598, 95001, 29295, 126574, 198, 73361, 110918, 15682, 33334, 73361, 30512, 110918, 20230, 103792, 105879, 33334, 73361, 16144, 15308, 226, 113598, 30512, 105557, 116186, 104043, 118314, 123332, 39926, 57903, 33541, 122262, 73361, 15682, 163, 65620, 53610, 33208, 53953, 116787, 106272, 39880, 101198, 101335, 108602, 118283, 39880, 29295, 45736, 47884, 112160, 114262, 20230, 125764, 30369, 118733, 47307, 115695, 29220, 105284, 16144, 15308, 226, 113598, 16144, 107246, 110226, 96455, 30512, 122765, 38144, 120700, 33541, 9174, 73361, 110918, 105352, 42016, 103826, 16144, 105908, 78244, 105262, 105879, 5486, 48154, 114053, 30512, 110904, 33014, 16556, 125764, 30369, 126036, 5486, 73361, 110918, 19732, 47307, 115695, 29220, 105284, 16556, 19967, 30369, 102944, 5486, 27452, 116285, 33334, 53901, 64121, 123307, 50834, 71289, 117203, 124535, 123160, 45736, 15308, 226, 113598, 95001, 16144, 102944, 19732, 126419, 20230, 104873, 22649, 112990, 5486, 105755, 15308, 226, 113598, 95001, 16144, 107246, 110226, 30512, 122765, 30369, 105908, 108608, 16144, 38641, 9174, 53900, 108948, 73361, 71289, 73361, 110918, 102052, 5486, 163, 65620, 53610, 33208, 53953, 20230, 96412, 17129, 104028, 102456, 53953, 103721, 232, 109205, 30512, 15682, 100204, 62004, 5486, 33014, 16144, 104873, 45829, 30512, 64531, 105262, 91482, 47307, 101198, 16073, 5486, 110135, 30512, 121313, 117657, 115145, 57207, 65299, 91062, 5486, 80631, 100, 104473, 30512, 103181, 104699, 109673, 5486, 110135, 30512, 106391, 13153, 54926, 68759, 41758, 102750, 57207, 65299, 91062, 5486, 104398, 112506, 16144, 115376, 30512, 103129, 105784, 127022, 107049, 249, 32977, 96412, 123606, 33541, 9174, 104959, 73361, 124911, 105352, 34208, 102456, 29295, 113614, 102456, 103306, 26130, 30832, 107001, 104468, 5486, 36668, 102456, 28713, 30369, 33334, 73361, 20230, 15308, 226, 113598, 29295, 21105, 96, 107277, 50520, 108, 17129, 103836, 115789, 31634, 63212, 112028, 59739, 103306, 113727, 102204, 33541, 118855, 108948, 73361, 71289, 73361, 110918, 15682, 110904, 33014, 126194, 5486, 127177, 47307, 115695, 29220, 105284, 71289, 102212, 108171, 104309, 19732, 126419, 20230, 125764, 30369, 106592, 102832, 61398, 116446, 101182, 115789, 5486, 110022, 100204, 38144, 99046, 224, 18655, 54926, 15308, 226, 113598, 95001, 30512, 45736, 107436, 113614, 26854, 33014, 126694, 30369, 109243, 29245, 96, 104856, 103836, 123253, 9174, 567, 121158, 110918, 15682, 118953, 57933, 118804, 102540, 198, 39880, 44971, 33710, 104603, 115247, 109606, 15682, 21990, 102625, 114556, 78183, 30369, 125478, 26854, 109606, 38641, 1811, 39880, 44971, 33710, 104603, 11972, 111571, 103397, 15682, 105324, 107246, 32648, 39276, 16144, 108901, 40053, 71289, 39880, 96452, 106384, 32131, 62903, 57207, 38248, 115, 78205, 48552, 32977, 125119, 31431, 30297, 30369, 118733, 5486, 102456, 30926, 113468, 113801, 125119, 107001, 126513, 58426, 113385, 53953, 105284, 103195, 119008, 30512, 111098, 76622, 123207, 26854, 31431, 107515, 9174, 31809, 114452, 15682, 39880, 44971, 33710, 104603, 11972, 30512, 125119, 15024, 126172, 16995, 119008, 112028, 59739, 38641, 1811, 110924, 102052, 118953, 57933, 16073, 102677, 47307, 115695, 29220, 105284, 112028, 104091, 29295, 97518, 116547, 33541, 1811, 80805, 113883, 32977, 120240, 31431, 99750, 71289, 119375, 123457, 19967, 30369, 32977, 19732, 117282, 102944, 119627, 5486, 118953, 57933, 16073, 20230, 39880, 44971, 33710, 104603, 11972, 95543, 106608, 125334, 38144, 114732, 19732, 5486, 124535, 71289, 30297, 67645, 25827, 120268, 114452, 124905, 103836, 102944, 15682, 125764, 33121, 123733, 31431, 33541, 119520, 102321, 31640, 16144, 102433, 77181, 116898, 85791, 103171, 102456, 103234, 20230, 31809, 114452, 29295, 33655, 78183, 115032, 105879, 121771, 115867, 119008, 29295, 125764, 33121, 123733, 76947, 114732, 16144, 38641, 9174, 110924, 16556, 31809, 114452, 110918, 16144, 31640, 11883, 103306 ]
[ 73361, 110918, 124905, 30297, 118733, 116898, 85791, 103171, 110918, 53953, 119008, 30512, 125764, 30369, 105908, 108608, 101200, 115717, 33541, 1811, 73361, 110918, 1041, 113127, 16144, 124535, 102677, 104468, 26854, 107188, 32149, 111108, 102800, 32149, 110241, 33121, 107515, 29295, 5486, 19967, 110615, 109335, 124897, 122262, 53901, 64121, 123307, 50834, 108031, 67645, 25827, 32977, 28713, 22957, 123307, 50834, 32977, 21441, 248, 102639, 53953, 32977, 120268, 114452, 110918, 126194, 73361, 110918, 124905, 30297, 118733, 39880, 44971, 33710, 104603, 11972, 29295, 30591, 114598, 37046, 110020, 72342, 101860, 20230, 125764, 104028, 101200, 115717, 33541, 9174, 567, 111747, 108968, 29295, 111044, 108285, 16995, 198, 39880, 44971, 33710, 104603, 11972, 20230, 101128, 102, 104004, 17792, 105459, 111363, 31809, 114452, 110918, 16144, 31640, 11883, 103306, 32977, 73361, 110918, 15682, 102924, 60632, 119627, 108948, 73361, 29295, 110918, 108176, 118733, 33655, 105262, 57207, 107060, 16144, 125396, 29295, 27384, 111044, 20230, 115079, 58942, 33541, 1811, 30297, 67645, 25827, 110918, 5486, 112609, 21441, 248, 102639, 110918, 5486, 36827, 2243, 115, 33503, 110918, 103306, 32977, 38129, 29295, 88367, 38641, 15024, 5486, 105107, 86894, 241, 11883, 5486, 124535, 11883, 103306, 122626, 39926, 101182, 73361, 110918, 32977, 57903, 33541, 9174, 31809, 114452, 110918, 126036, 15308, 226, 113598, 95001, 15682, 126574, 110115, 103868, 32977, 23706, 244, 29295, 103470, 33655, 114774, 17663, 16995, 105879, 5486, 67645, 112384, 124905, 114598, 109606, 20230, 91763, 30297, 109335, 100604, 123253, 9174, 567, 39533, 116, 104754, 96455, 29295, 103167, 16995, 198, 122270, 73361, 110918, 15682, 104754, 53953, 19732, 50021, 34171, 29295, 104712, 115789, 104712, 110229, 112028, 59739, 38641, 1811, 50021, 34171, 29295, 104712, 102677, 104468, 104754, 26854, 100204, 64121, 29295, 104712, 102677, 115552, 126194, 5486, 121496, 105284, 16144, 103188, 21403, 108, 99046, 224, 18655, 30512, 95221, 117657, 17792, 125030, 76947, 73361, 110918, 15682, 31809, 114452, 110918, 105755, 19361, 105576, 102677, 100909, 38641, 9174, 73361, 110918, 15682, 31809, 114452, 110918, 126036, 107246, 104754, 96455, 29295, 868, 113127, 71689, 32977, 103167, 117714, 38641, 1811, 112609, 21441, 248, 102639, 71289, 36827, 2243, 115, 33503, 5486, 45923, 109793, 103223, 123160, 21441, 248, 102639, 53953, 30512, 31809, 114452, 110918, 126194, 73361, 110918, 16556, 21441, 248, 102639, 30369, 118733, 124807, 76739, 67075, 8239, 114503, 32977, 103192, 62004, 33541, 9174, 567, 123252, 117, 110794, 29295, 104712, 198, 73361, 110918, 15682, 24186, 104680, 33334, 73361, 26854, 105879, 5486, 32977, 43514, 32977, 43514, 39926, 102532, 113351, 110794, 29295, 104712, 115789, 60632, 28542, 112028, 59739, 38641, 1811, 124535, 15682, 102456, 30926, 103306, 32977, 33334, 71289, 59739, 103306, 32977, 104654, 20230, 108167, 125639, 126172, 16995, 119627, 5486, 101828, 73361, 16144, 48154, 114053, 102677, 104468, 26854, 107188, 32149, 33334, 71289, 59739, 103306, 71493, 65299, 52414, 21105, 98, 124749, 120937, 123253, 32149, 9174, 48154, 114053, 15682, 102456, 30926, 114318, 102433, 107707, 106581, 20230, 102831, 104195, 47884, 101182, 55031, 32149, 110241, 33121, 107515, 29295, 108948, 73361, 16144, 113351, 110794, 16144, 103424, 30813, 32977, 119448, 47884, 97518, 78183, 30369, 16144, 111769, 32149, 106046, 61689, 1811, 21105, 96, 107277, 102456, 115694, 80805, 124049, 121711, 126172, 16995, 33334, 73361, 71289, 73361, 110918, 15682, 123085, 107707, 106581, 105352, 33014, 105352, 40862, 103836, 102944, 36785, 106046, 61689, 9174, 567, 106369, 73361, 102571, 121944, 103129, 117295, 198, 124535, 102456, 71289, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 16144, 103682, 20230, 110408, 84389, 33334, 73361, 16144, 33420, 106382, 96455, 29295, 114485, 103836, 16325, 5486, 73361, 110918, 16144, 21980, 236, 11883, 34171, 113468, 33334, 73361, 114407, 46729, 121944, 27384, 119178, 103129, 107277, 33541, 9174, 102433, 16144, 102456, 30926, 16144, 102832, 61398, 115287, 110229, 29295, 43240, 103826, 34171, 112212, 21441, 118, 30369, 29295, 116216, 61689, 29295, 5486, 43240, 103826, 34171, 30512, 116900, 124475, 102456, 30926, 116749, 16144, 57207, 107060, 72661, 73361, 110918, 103306, 22398, 25197, 109089, 16144, 53229, 42506, 110276, 31431, 54926, 105908, 108608, 101200, 115717, 79721, 1811, 73361, 110918, 103306, 16144, 38129, 96455, 29295, 115442, 104984, 108948, 73361, 16144, 33420, 106382, 33857, 32977, 53900, 115079, 58942, 100481, 47884, 118733, 109954, 9174, 73361, 110918, 15682, 33334, 73361, 16144, 125396, 30512, 108285, 102639, 127280, 122262, 73361, 15682, 108285, 47884, 102433, 16556, 103926, 116216, 61689, 29295, 5486, 73361, 110918, 108176, 118733, 122270, 27384, 112495, 117903, 16556, 76706, 109526, 235, 54926, 105908, 125545, 1811, 15308, 226, 113598, 95001, 32977, 45736, 47884, 33014, 105352, 104712, 105879, 108948, 53901, 64121, 123307, 50834, 71289, 112609, 21441, 248, 102639, 104309, 112197, 73361, 20230, 40862, 16995, 120550, 110918, 53953, 55031, 102456, 104654, 20230, 108167, 17701, 106824, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 1811, 128001, 128000, 2, 108072, 37823, 102750, 78525, 101198, 16144, 117178, 112624, 198, 14711, 114514, 106145, 33208, 54926, 99695, 67075, 16144, 117178, 112624, 109606, 198, 110382, 60358, 116358, 99695, 67075, 52884, 103202, 16144, 124858, 117083, 112973, 36896, 25197, 76739, 102750, 47260, 10646, 71289, 13177, 25197, 76739, 25197, 125864, 66383, 16995, 100472, 102452, 32943, 16556, 165, 36246, 101662, 54926, 105908, 108608, 99695, 67075, 16144, 104091, 104770, 16144, 115079, 21601, 38641, 9174, 99695, 67075, 15682, 37271, 71289, 17905, 17297, 116690, 114792, 76947, 165, 36246, 101662, 123410, 102944, 102677, 126036, 5486, 122013, 112028, 102351, 103306, 109169, 58942, 17701, 104028, 102677, 113727, 114792, 103836, 114754, 43240, 115737, 76947, 61689, 9174, 58426, 100909, 37026, 33014, 15682, 104662, 39926, 109161, 16995, 100909, 111769, 16144, 119627, 5486, 17792, 113468, 15682, 77693, 29295, 45736, 100204, 38144, 99695, 67075, 19732, 115364, 104654, 30512, 60358, 47884, 15024, 120195, 38144, 103801, 16995, 5486, 114516, 32977, 125764, 30369, 105933, 45736, 71493, 42634, 102540, 102456, 30512, 58318, 107290, 103801, 16995, 29295, 43514, 38641, 9174, 43514, 26854, 64121, 20230, 112599, 25197, 76739, 25197, 125864, 5486, 25197, 76739, 102750, 47260, 103306, 165, 36246, 101662, 110731, 99695, 67075, 16144, 117591, 116898, 101860, 33121, 32977, 1135, 113127, 71689, 29295, 117178, 112624, 121894, 117083, 102677, 104873, 112984, 113702, 115991, 33541, 9174, 32977, 107173, 19732, 102212, 21990, 16556, 104654, 103792, 91875, 53953, 15682, 114392, 26854, 102456, 100853, 100, 127749, 20230, 100604, 16325, 16556, 123726, 108618, 121118, 115789, 57903, 5486, 119008, 117758, 76739, 124643, 104603, 11972, 126120, 96455, 29295, 108008, 20230, 126574, 38641, 9174, 58426, 103846, 120065, 56051, 125764, 103188, 105557, 32977, 114225, 118969, 117178, 112624, 107294, 105722, 76947, 114732, 115789, 114652, 57903, 33541, 9174, 66378, 20230, 102040, 37823, 102750, 78525, 101198, 15682, 101402, 31431, 126172, 16995, 33014, 105284, 30512, 103792, 105879, 5486, 103572, 38574, 55031, 101960, 234, 16144, 33857, 20230, 61633, 39926, 33014, 25287, 20230, 110993, 79982, 26854, 104721, 33208, 29295, 125119, 107462, 100604, 32149, 30512, 105184, 32149, 107436, 122765, 30369, 104466, 103801, 109954, 9174, 102040, 37823, 102750, 78525, 101198, 15682, 32977, 107173, 19732, 33014, 29295, 113692, 16995, 105879, 5486, 117178, 112624, 102083, 114598, 70563, 16073, 19732, 22957, 100604, 32149, 110241, 33121, 107515, 29295, 33014, 30358, 29295, 115079, 21601, 15024, 120195, 38144, 114604, 102040, 37823, 102750, 78525, 101198, 15682, 31958, 33503, 111201, 119448, 30813, 29295, 108901, 26854, 76947, 91774, 58942, 33541, 9174, 119852, 64121, 104984, 109688, 117126, 30512, 112391, 38144, 113692, 47884, 109020, 17129, 72661, 103470, 110577, 20230, 113692, 16995, 102677, 121894, 16556, 5486, 108895, 26854, 104533, 126920, 33014, 30512, 113692, 47884, 119607, 103306, 32977, 33334, 113351, 16144, 107079, 29295, 123296, 102676, 16556, 33014, 30512, 108881, 31431, 28713, 28713, 104004, 105908, 103082, 107515, 9174, 37026, 48634, 16556, 113692, 115464, 105908, 103082, 123733, 76947, 114604, 33503, 108048, 15682, 30358, 27479, 16144, 117178, 112624, 121894, 117083, 102677, 106592, 126843, 165, 36246, 16995, 36668, 117940, 21105, 96, 107277, 53283, 76947, 33334, 102532, 72315, 9174, 14711, 108072, 37823, 102750, 78525, 101198, 16144, 117178, 112624, 16144, 113385, 19732, 103911, 103181, 41007, 198, 102040, 37823, 102750, 78525, 101198, 16144, 117178, 112624, 104088, 17620, 105784, 108031, 15120, 118821, 41007, 29295, 5486, 105994, 16556, 23039, 30297, 96356, 103721, 243, 16995, 113245, 84150, 122, 107654, 59657, 245, 31431, 29295, 103082, 123733, 76947, 114732, 102677, 105908, 57903, 33541, 9174, 102040, 37823, 102750, 78525, 101198, 15682, 105068, 16325, 16144, 77062, 246, 30512, 105755, 19361, 126120, 26854, 102944, 117657, 113009, 5486, 109177, 72238, 16144, 101182, 84150, 122, 107654, 30512, 13393, 251, 20230, 59657, 245, 31431, 59739, 105784, 102677, 123120, 123410, 16144, 119627, 5486, 117178, 112624, 121894, 115717, 33334, 113351, 30512, 103302, 102639, 30369, 105908, 103082, 123733, 104533, 77693, 32977, 73597, 252, 76947, 103801, 61689, 9174, 102040, 37823, 102750, 78525, 101198, 16144, 117178, 112624, 16144, 32335, 32977, 27384, 112495, 113385, 15682, 71289, 15682, 31431, 121496, 57942, 103, 17620, 71289, 117587, 17620, 16144, 19732, 31431, 120195, 38641, 9174, 103572, 38574, 16144, 101960, 234, 103306, 102040, 37823, 102750, 78525, 101198, 11883, 16144, 119455, 103809, 98, 52591, 65575, 30512, 38129, 103792, 17792, 32977, 127181, 106046, 61689, 29295, 106116, 43511, 107898, 71289, 59739, 103306, 123726, 101960, 234, 71289, 28873, 53953, 104309, 30512, 58318, 58942, 100934, 115789, 53900, 114652, 57903, 33541, 9174, 102131, 56051, 15308, 226, 113598, 95001, 16144, 126574, 119008, 32977, 39177, 104680, 15682, 48154, 106782, 240, 58666, 103306, 122765, 30369, 104468, 57980, 117714, 119627, 5486, 121410, 117073, 104466, 125764, 106307, 76622, 100934, 19732, 91774, 30369, 64121, 30369, 64121, 30369, 117591, 20230, 101402, 107462, 76947, 103801, 61689, 9174, 114516, 16556, 78244, 116285, 121410, 117073, 104466, 52597, 250, 104989, 111331, 106826, 38248, 255, 107079, 126130, 113351, 16995, 124387, 125764, 106307, 76622, 100934, 105933, 102944, 26854, 105879, 5486, 104940, 126559, 55031, 57980, 16995, 102677, 100909, 126194, 5486, 116414, 32149, 16556, 165, 36246, 16995, 36668, 121944, 71634, 103830, 119707, 107441, 122765, 123207, 16995, 76622, 107515, 9174, 103429, 95221, 101983, 112586, 47884, 16995, 33014, 126694, 30369, 103846, 102052, 117401, 29295, 124490, 32149, 72342, 107515, 105879, 5486, 102456, 30926, 44915, 104088, 74245, 17663, 19732, 107173, 20230, 102663, 78767, 30512, 108285, 47884, 54926, 104309, 117401, 15024, 126172, 16995, 117501, 126694, 76947, 72315, 1811, 128001, 128000, 2, 127167, 16144, 112984, 23187, 30512, 119607, 107188, 119150, 15120, 24273, 5486, 121568, 108134, 30512, 102178, 111665, 30813, 198, 101918, 16144, 112984, 23187, 30512, 119607, 107188, 119150, 15120, 24273, 5486, 121568, 108134, 30512, 102178, 111665, 107001, 104468, 110482, 30369, 102677, 113727, 124911, 32977, 61689, 9174, 19732, 31431, 113334, 5486, 118823, 16556, 112028, 106885, 112984, 23187, 16144, 107803, 5486, 43240, 119064, 107691, 18655, 123410, 114435, 20230, 115364, 121568, 108134, 104088, 110071, 112973, 64209, 55487, 115717, 33541, 123794, 1811, 119627, 5486, 112424, 113468, 121568, 108134, 16144, 108167, 121247, 16995, 102052, 16906, 111, 37656, 26854, 40452, 41007, 29295, 104662, 62004, 125398, 105879, 5486, 108729, 9554, 102052, 51385, 64209, 54926, 105908, 106084, 33541, 9174, 16325, 102491, 101918, 122626, 101275, 112919, 102717, 19732, 124592, 20230, 40265, 38144, 15682, 17129, 110104, 30926, 119627, 106116, 9039, 15682, 43240, 47884, 100604, 16144, 119627, 5486, 110993, 109161, 66776, 45893, 26854, 106592, 54926, 101275, 30046, 32977, 27869, 249, 106824, 61689, 109807, 46034, 38574, 112028, 27452, 103306, 15682, 5486, 112984, 23187, 102782, 15024, 121423, 16144, 38574, 106090, 16556, 36896, 91774, 108882, 123731, 56051, 123090, 58426, 101918, 30512, 110794, 112454, 114598, 103424, 118145, 112984, 23187, 109518, 30512, 122060, 124545, 105908, 88367, 38641, 57980, 10646, 104309, 19732, 117952, 33121, 5486, 105525, 105368, 110526, 16144, 101918, 30512, 109020, 103854, 47884, 103856, 47884, 113801, 108167, 108608, 104466, 110526, 116216, 5486, 101918, 16144, 113801, 108167, 117824, 76947, 55031, 33334, 35330, 30512, 110968, 30813, 101860, 20230, 5486, 101275, 112919, 89046, 117139, 61826, 32977, 103721, 233, 29295, 110104, 102677, 50520, 238, 25340, 118, 115991, 33541, 9174, 117032, 23039, 126832, 46034, 106307, 50834, 30512, 72342, 101860, 101983, 112371, 36785, 32149, 115590, 20230, 103856, 47884, 101918, 30512, 113801, 108167, 28713, 29295, 30369, 105335, 26269, 52591, 117158, 38093, 100472, 33503, 16906, 111, 30358, 20230, 61633, 39926, 72315, 9174, 101918, 30512, 107691, 18655, 117158, 56051, 107803, 108948, 35330, 29295, 123927, 104526, 17129, 104028, 103296, 67645, 16144, 120264, 32149, 117295, 32149, 5486, 112073, 98369, 95221, 115717, 33541, 123794, 1811, 110241, 42634, 107060, 29295, 108618, 107462, 104984, 58426, 46034, 106307, 50834, 117824, 16995, 5486, 101918, 30512, 108031, 127637, 28542, 111800, 15024, 5486, 91774, 102936, 103306, 107991, 102944, 119703, 32149, 104405, 32149, 21105, 96, 107277, 19732, 114140, 54926, 82973, 29295, 109215, 26854, 103846, 5486, 117032, 16144, 107803, 5486, 120273, 103664, 30512, 39926, 55031, 20713, 111299, 56965, 23897, 32943, 102052, 33334, 35330, 29295, 46034, 24186, 109156, 30369, 105908, 127181, 117840, 9174, 112672, 32149, 110241, 33121, 107515, 29295, 5486, 115681, 101918, 30512, 111654, 21105, 234, 30369, 114754, 43240, 9039, 107991, 105343, 107792, 120332, 29295, 5486, 105525, 105368, 110366, 125030, 114598, 115681, 101918, 30512, 45736, 47884, 105525, 30369, 109933, 107446, 125651, 1811, 101918, 30512, 107691, 102334, 16995, 102677, 86206, 29295, 122060, 126693, 54926, 108680, 84844, 110698, 32977, 109215, 115717, 5486, 112672, 119775, 107691, 18655, 35330, 109518, 32977, 17905, 123716, 78434, 1811, 108936, 112535, 108695, 16144, 104662, 70203, 9953, 103195, 18, 9953, 19732, 24, 9953, 15682, 117032, 126036, 33334, 72516, 15682, 101918, 16144, 122626, 20230, 123457, 17701, 106824, 50834, 33541, 55031, 5486, 115681, 101918, 105525, 105368, 125344, 121374, 39209, 35086, 231, 32977, 105994, 20230, 19361, 60632, 108176, 104466, 23039, 105262, 107803, 29295, 127181, 19732, 78244, 58942, 33541, 9174, 104662, 70203, 9953, 103195, 120266, 21601, 107290, 5486, 24, 9953, 15682, 105140, 16144, 103672, 109793, 22398 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 73361, 110918, 124905, 30297, 118733, 116898, 85791, 103171, 110918, 53953, 119008, 30512, 125764, 30369, 105908, 108608, 101200, 115717, 33541, 1811, 73361, 110918, 1041, 113127, 16144, 124535, 102677, 104468, 26854, 107188, 32149, 111108, 102800, 32149, 110241, 33121, 107515, 29295, 5486, 19967, 110615, 109335, 124897, 122262, 53901, 64121, 123307, 50834, 108031, 67645, 25827, 32977, 28713, 22957, 123307, 50834, 32977, 21441, 248, 102639, 53953, 32977, 120268, 114452, 110918, 126194, 73361, 110918, 124905, 30297, 118733, 39880, 44971, 33710, 104603, 11972, 29295, 30591, 114598, 37046, 110020, 72342, 101860, 20230, 125764, 104028, 101200, 115717, 33541, 9174, 567, 111747, 108968, 29295, 111044, 108285, 16995, 198, 39880, 44971, 33710, 104603, 11972, 20230, 101128, 102, 104004, 17792, 105459, 111363, 31809, 114452, 110918, 16144, 31640, 11883, 103306, 32977, 73361, 110918, 15682, 102924, 60632, 119627, 108948, 73361, 29295, 110918, 108176, 118733, 33655, 105262, 57207, 107060, 16144, 125396, 29295, 27384, 111044, 20230, 115079, 58942, 33541, 1811, 30297, 67645, 25827, 110918, 5486, 112609, 21441, 248, 102639, 110918, 5486, 36827, 2243, 115, 33503, 110918, 103306, 32977, 38129, 29295, 88367, 38641, 15024, 5486, 105107, 86894, 241, 11883, 5486, 124535, 11883, 103306, 122626, 39926, 101182, 73361, 110918, 32977, 57903, 33541, 9174, 31809, 114452, 110918, 126036, 15308, 226, 113598, 95001, 15682, 126574, 110115, 103868, 32977, 23706, 244, 29295, 103470, 33655, 114774, 17663, 16995, 105879, 5486, 67645, 112384, 124905, 114598, 109606, 20230, 91763, 30297, 109335, 100604, 123253, 9174, 567, 39533, 116, 104754, 96455, 29295, 103167, 16995, 198, 122270, 73361, 110918, 15682, 104754, 53953, 19732, 50021, 34171, 29295, 104712, 115789, 104712, 110229, 112028, 59739, 38641, 1811, 50021, 34171, 29295, 104712, 102677, 104468, 104754, 26854, 100204, 64121, 29295, 104712, 102677, 115552, 126194, 5486, 121496, 105284, 16144, 103188, 21403, 108, 99046, 224, 18655, 30512, 95221, 117657, 17792, 125030, 76947, 73361, 110918, 15682, 31809, 114452, 110918, 105755, 19361, 105576, 102677, 100909, 38641, 9174, 73361, 110918, 15682, 31809, 114452, 110918, 126036, 107246, 104754, 96455, 29295, 868, 113127, 71689, 32977, 103167, 117714, 38641, 1811, 112609, 21441, 248, 102639, 71289, 36827, 2243, 115, 33503, 5486, 45923, 109793, 103223, 123160, 21441, 248, 102639, 53953, 30512, 31809, 114452, 110918, 126194, 73361, 110918, 16556, 21441, 248, 102639, 30369, 118733, 124807, 76739, 67075, 8239, 114503, 32977, 103192, 62004, 33541, 9174, 567, 123252, 117, 110794, 29295, 104712, 198, 73361, 110918, 15682, 24186, 104680, 33334, 73361, 26854, 105879, 5486, 32977, 43514, 32977, 43514, 39926, 102532, 113351, 110794, 29295, 104712, 115789, 60632, 28542, 112028, 59739, 38641, 1811, 124535, 15682, 102456, 30926, 103306, 32977, 33334, 71289, 59739, 103306, 32977, 104654, 20230, 108167, 125639, 126172, 16995, 119627, 5486, 101828, 73361, 16144, 48154, 114053, 102677, 104468, 26854, 107188, 32149, 33334, 71289, 59739, 103306, 71493, 65299, 52414, 21105, 98, 124749, 120937, 123253, 32149, 9174, 48154, 114053, 15682, 102456, 30926, 114318, 102433, 107707, 106581, 20230, 102831, 104195, 47884, 101182, 55031, 32149, 110241, 33121, 107515, 29295, 108948, 73361, 16144, 113351, 110794, 16144, 103424, 30813, 32977, 119448, 47884, 97518, 78183, 30369, 16144, 111769, 32149, 106046, 61689, 1811, 21105, 96, 107277, 102456, 115694, 80805, 124049, 121711, 126172, 16995, 33334, 73361, 71289, 73361, 110918, 15682, 123085, 107707, 106581, 105352, 33014, 105352, 40862, 103836, 102944, 36785, 106046, 61689, 9174, 567, 106369, 73361, 102571, 121944, 103129, 117295, 198, 124535, 102456, 71289, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 16144, 103682, 20230, 110408, 84389, 33334, 73361, 16144, 33420, 106382, 96455, 29295, 114485, 103836, 16325, 5486, 73361, 110918, 16144, 21980, 236, 11883, 34171, 113468, 33334, 73361, 114407, 46729, 121944, 27384, 119178, 103129, 107277, 33541, 9174, 102433, 16144, 102456, 30926, 16144, 102832, 61398, 115287, 110229, 29295, 43240, 103826, 34171, 112212, 21441, 118, 30369, 29295, 116216, 61689, 29295, 5486, 43240, 103826, 34171, 30512, 116900, 124475, 102456, 30926, 116749, 16144, 57207, 107060, 72661, 73361, 110918, 103306, 22398, 25197, 109089, 16144, 53229, 42506, 110276, 31431, 54926, 105908, 108608, 101200, 115717, 79721, 1811, 73361, 110918, 103306, 16144, 38129, 96455, 29295, 115442, 104984, 108948, 73361, 16144, 33420, 106382, 33857, 32977, 53900, 115079, 58942, 100481, 47884, 118733, 109954, 9174, 73361, 110918, 15682, 33334, 73361, 16144, 125396, 30512, 108285, 102639, 127280, 122262, 73361, 15682, 108285, 47884, 102433, 16556, 103926, 116216, 61689, 29295, 5486, 73361, 110918, 108176, 118733, 122270, 27384, 112495, 117903, 16556, 76706, 109526, 235, 54926, 105908, 125545, 1811, 15308, 226, 113598, 95001, 32977, 45736, 47884, 33014, 105352, 104712, 105879, 108948, 53901, 64121, 123307, 50834, 71289, 112609, 21441, 248, 102639, 104309, 112197, 73361, 20230, 40862, 16995, 120550, 110918, 53953, 55031, 102456, 104654, 20230, 108167, 17701, 106824, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 1811, 128001, 128000, 2, 108072, 37823, 102750, 78525, 101198, 16144, 117178, 112624, 198, 14711, 114514, 106145, 33208, 54926, 99695, 67075, 16144, 117178, 112624, 109606, 198, 110382, 60358, 116358, 99695, 67075, 52884, 103202, 16144, 124858, 117083, 112973, 36896, 25197, 76739, 102750, 47260, 10646, 71289, 13177, 25197, 76739, 25197, 125864, 66383, 16995, 100472, 102452, 32943, 16556, 165, 36246, 101662, 54926, 105908, 108608, 99695, 67075, 16144, 104091, 104770, 16144, 115079, 21601, 38641, 9174, 99695, 67075, 15682, 37271, 71289, 17905, 17297, 116690, 114792, 76947, 165, 36246, 101662, 123410, 102944, 102677, 126036, 5486, 122013, 112028, 102351, 103306, 109169, 58942, 17701, 104028, 102677, 113727, 114792, 103836, 114754, 43240, 115737, 76947, 61689, 9174, 58426, 100909, 37026, 33014, 15682, 104662, 39926, 109161, 16995, 100909, 111769, 16144, 119627, 5486, 17792, 113468, 15682, 77693, 29295, 45736, 100204, 38144, 99695, 67075, 19732, 115364, 104654, 30512, 60358, 47884, 15024, 120195, 38144, 103801, 16995, 5486, 114516, 32977, 125764, 30369, 105933, 45736, 71493, 42634, 102540, 102456, 30512, 58318, 107290, 103801, 16995, 29295, 43514, 38641, 9174, 43514, 26854, 64121, 20230, 112599, 25197, 76739, 25197, 125864, 5486, 25197, 76739, 102750, 47260, 103306, 165, 36246, 101662, 110731, 99695, 67075, 16144, 117591, 116898, 101860, 33121, 32977, 1135, 113127, 71689, 29295, 117178, 112624, 121894, 117083, 102677, 104873, 112984, 113702, 115991, 33541, 9174, 32977, 107173, 19732, 102212, 21990, 16556, 104654, 103792, 91875, 53953, 15682, 114392, 26854, 102456, 100853, 100, 127749, 20230, 100604, 16325, 16556, 123726, 108618, 121118, 115789, 57903, 5486, 119008, 117758, 76739, 124643, 104603, 11972, 126120, 96455, 29295, 108008, 20230, 126574, 38641, 9174, 58426, 103846, 120065, 56051, 125764, 103188, 105557, 32977, 114225, 118969, 117178, 112624, 107294, 105722, 76947, 114732, 115789, 114652, 57903, 33541, 9174, 66378, 20230, 102040, 37823, 102750, 78525, 101198, 15682, 101402, 31431, 126172, 16995, 33014, 105284, 30512, 103792, 105879, 5486, 103572, 38574, 55031, 101960, 234, 16144, 33857, 20230, 61633, 39926, 33014, 25287, 20230, 110993, 79982, 26854, 104721, 33208, 29295, 125119, 107462, 100604, 32149, 30512, 105184, 32149, 107436, 122765, 30369, 104466, 103801, 109954, 9174, 102040, 37823, 102750, 78525, 101198, 15682, 32977, 107173, 19732, 33014, 29295, 113692, 16995, 105879, 5486, 117178, 112624, 102083, 114598, 70563, 16073, 19732, 22957, 100604, 32149, 110241, 33121, 107515, 29295, 33014, 30358, 29295, 115079, 21601, 15024, 120195, 38144, 114604, 102040, 37823, 102750, 78525, 101198, 15682, 31958, 33503, 111201, 119448, 30813, 29295, 108901, 26854, 76947, 91774, 58942, 33541, 9174, 119852, 64121, 104984, 109688, 117126, 30512, 112391, 38144, 113692, 47884, 109020, 17129, 72661, 103470, 110577, 20230, 113692, 16995, 102677, 121894, 16556, 5486, 108895, 26854, 104533, 126920, 33014, 30512, 113692, 47884, 119607, 103306, 32977, 33334, 113351, 16144, 107079, 29295, 123296, 102676, 16556, 33014, 30512, 108881, 31431, 28713, 28713, 104004, 105908, 103082, 107515, 9174, 37026, 48634, 16556, 113692, 115464, 105908, 103082, 123733, 76947, 114604, 33503, 108048, 15682, 30358, 27479, 16144, 117178, 112624, 121894, 117083, 102677, 106592, 126843, 165, 36246, 16995, 36668, 117940, 21105, 96, 107277, 53283, 76947, 33334, 102532, 72315, 9174, 14711, 108072, 37823, 102750, 78525, 101198, 16144, 117178, 112624, 16144, 113385, 19732, 103911, 103181, 41007, 198, 102040, 37823, 102750, 78525, 101198, 16144, 117178, 112624, 104088, 17620, 105784, 108031, 15120, 118821, 41007, 29295, 5486, 105994, 16556, 23039, 30297, 96356, 103721, 243, 16995, 113245, 84150, 122, 107654, 59657, 245, 31431, 29295, 103082, 123733, 76947, 114732, 102677, 105908, 57903, 33541, 9174, 102040, 37823, 102750, 78525, 101198, 15682, 105068, 16325, 16144, 77062, 246, 30512, 105755, 19361, 126120, 26854, 102944, 117657, 113009, 5486, 109177, 72238, 16144, 101182, 84150, 122, 107654, 30512, 13393, 251, 20230, 59657, 245, 31431, 59739, 105784, 102677, 123120, 123410, 16144, 119627, 5486, 117178, 112624, 121894, 115717, 33334, 113351, 30512, 103302, 102639, 30369, 105908, 103082, 123733, 104533, 77693, 32977, 73597, 252, 76947, 103801, 61689, 9174, 102040, 37823, 102750, 78525, 101198, 16144, 117178, 112624, 16144, 32335, 32977, 27384, 112495, 113385, 15682, 71289, 15682, 31431, 121496, 57942, 103, 17620, 71289, 117587, 17620, 16144, 19732, 31431, 120195, 38641, 9174, 103572, 38574, 16144, 101960, 234, 103306, 102040, 37823, 102750, 78525, 101198, 11883, 16144, 119455, 103809, 98, 52591, 65575, 30512, 38129, 103792, 17792, 32977, 127181, 106046, 61689, 29295, 106116, 43511, 107898, 71289, 59739, 103306, 123726, 101960, 234, 71289, 28873, 53953, 104309, 30512, 58318, 58942, 100934, 115789, 53900, 114652, 57903, 33541, 9174, 102131, 56051, 15308, 226, 113598, 95001, 16144, 126574, 119008, 32977, 39177, 104680, 15682, 48154, 106782, 240, 58666, 103306, 122765, 30369, 104468, 57980, 117714, 119627, 5486, 121410, 117073, 104466, 125764, 106307, 76622, 100934, 19732, 91774, 30369, 64121, 30369, 64121, 30369, 117591, 20230, 101402, 107462, 76947, 103801, 61689, 9174, 114516, 16556, 78244, 116285, 121410, 117073, 104466, 52597, 250, 104989, 111331, 106826, 38248, 255, 107079, 126130, 113351, 16995, 124387, 125764, 106307, 76622, 100934, 105933, 102944, 26854, 105879, 5486, 104940, 126559, 55031, 57980, 16995, 102677, 100909, 126194, 5486, 116414, 32149, 16556, 165, 36246, 16995, 36668, 121944, 71634, 103830, 119707, 107441, 122765, 123207, 16995, 76622, 107515, 9174, 103429, 95221, 101983, 112586, 47884, 16995, 33014, 126694, 30369, 103846, 102052, 117401, 29295, 124490, 32149, 72342, 107515, 105879, 5486, 102456, 30926, 44915, 104088, 74245, 17663, 19732, 107173, 20230, 102663, 78767, 30512, 108285, 47884, 54926, 104309, 117401, 15024, 126172, 16995, 117501, 126694, 76947, 72315, 1811, 128001, 128000, 2, 127167, 16144, 112984, 23187, 30512, 119607, 107188, 119150, 15120, 24273, 5486, 121568, 108134, 30512, 102178, 111665, 30813, 198, 101918, 16144, 112984, 23187, 30512, 119607, 107188, 119150, 15120, 24273, 5486, 121568, 108134, 30512, 102178, 111665, 107001, 104468, 110482, 30369, 102677, 113727, 124911, 32977, 61689, 9174, 19732, 31431, 113334, 5486, 118823, 16556, 112028, 106885, 112984, 23187, 16144, 107803, 5486, 43240, 119064, 107691, 18655, 123410, 114435, 20230, 115364, 121568, 108134, 104088, 110071, 112973, 64209, 55487, 115717, 33541, 123794, 1811, 119627, 5486, 112424, 113468, 121568, 108134, 16144, 108167, 121247, 16995, 102052, 16906, 111, 37656, 26854, 40452, 41007, 29295, 104662, 62004, 125398, 105879, 5486, 108729, 9554, 102052, 51385, 64209, 54926, 105908, 106084, 33541, 9174, 16325, 102491, 101918, 122626, 101275, 112919, 102717, 19732, 124592, 20230, 40265, 38144, 15682, 17129, 110104, 30926, 119627, 106116, 9039, 15682, 43240, 47884, 100604, 16144, 119627, 5486, 110993, 109161, 66776, 45893, 26854, 106592, 54926, 101275, 30046, 32977, 27869, 249, 106824, 61689, 109807, 46034, 38574, 112028, 27452, 103306, 15682, 5486, 112984, 23187, 102782, 15024, 121423, 16144, 38574, 106090, 16556, 36896, 91774, 108882, 123731, 56051, 123090, 58426, 101918, 30512, 110794, 112454, 114598, 103424, 118145, 112984, 23187, 109518, 30512, 122060, 124545, 105908, 88367, 38641, 57980, 10646, 104309, 19732, 117952, 33121, 5486, 105525, 105368, 110526, 16144, 101918, 30512, 109020, 103854, 47884, 103856, 47884, 113801, 108167, 108608, 104466, 110526, 116216, 5486, 101918, 16144, 113801, 108167, 117824, 76947, 55031, 33334, 35330, 30512, 110968, 30813, 101860, 20230, 5486, 101275, 112919, 89046, 117139, 61826, 32977, 103721, 233, 29295, 110104, 102677, 50520, 238, 25340, 118, 115991, 33541, 9174, 117032, 23039, 126832, 46034, 106307, 50834, 30512, 72342, 101860, 101983, 112371, 36785, 32149, 115590, 20230, 103856, 47884, 101918, 30512, 113801, 108167, 28713, 29295, 30369, 105335, 26269, 52591, 117158, 38093, 100472, 33503, 16906, 111, 30358, 20230, 61633, 39926, 72315, 9174, 101918, 30512, 107691, 18655, 117158, 56051, 107803, 108948, 35330, 29295, 123927, 104526, 17129, 104028, 103296, 67645, 16144, 120264, 32149, 117295, 32149, 5486, 112073, 98369, 95221, 115717, 33541, 123794, 1811, 110241, 42634, 107060, 29295, 108618, 107462, 104984, 58426, 46034, 106307, 50834, 117824, 16995, 5486, 101918, 30512, 108031, 127637, 28542, 111800, 15024, 5486, 91774, 102936, 103306, 107991, 102944, 119703, 32149, 104405, 32149, 21105, 96, 107277, 19732, 114140, 54926, 82973, 29295, 109215, 26854, 103846, 5486, 117032, 16144, 107803, 5486, 120273, 103664, 30512, 39926, 55031, 20713, 111299, 56965, 23897, 32943, 102052, 33334, 35330, 29295, 46034, 24186, 109156, 30369, 105908, 127181, 117840, 9174, 112672, 32149, 110241, 33121, 107515, 29295, 5486, 115681, 101918, 30512, 111654, 21105, 234, 30369, 114754, 43240, 9039, 107991, 105343, 107792, 120332, 29295, 5486, 105525, 105368, 110366, 125030, 114598, 115681, 101918, 30512, 45736, 47884, 105525, 30369, 109933, 107446, 125651, 1811, 101918, 30512, 107691, 102334, 16995, 102677, 86206, 29295, 122060, 126693, 54926, 108680, 84844, 110698, 32977, 109215, 115717, 5486, 112672, 119775, 107691, 18655, 35330, 109518, 32977, 17905, 123716, 78434, 1811, 108936, 112535, 108695, 16144, 104662, 70203, 9953, 103195, 18, 9953, 19732, 24, 9953, 15682, 117032, 126036, 33334, 72516, 15682, 101918, 16144, 122626, 20230, 123457, 17701, 106824, 50834, 33541, 55031, 5486, 115681, 101918, 105525, 105368, 125344, 121374, 39209, 35086, 231, 32977, 105994, 20230, 19361, 60632, 108176, 104466, 23039, 105262, 107803, 29295, 127181, 19732, 78244, 58942, 33541, 9174, 104662, 70203, 9953, 103195, 120266, 21601, 107290, 5486, 24, 9953, 15682, 105140, 16144, 103672, 109793, 22398 ]
[ 125334, 100934, 127749, 16556, 101918, 16144, 105525, 33121, 23039, 50834, 15682, 103424, 47884, 109020, 105879, 105525, 105368, 20230, 109431, 56051, 39177, 23538, 19732, 78244, 58942, 33541, 101832, 1811, 112984, 23187, 109518, 16144, 30512, 109415, 30369, 46034, 38574, 103306, 5486, 43240, 119064, 114754, 119869, 20230, 91763, 108064, 47884, 112973, 108914, 101918, 123253, 9174, 70563, 71493, 70563, 71493, 20230, 108914, 101918, 126198, 121894, 16556, 112984, 23187, 30512, 120837, 33503, 30297, 100909, 112212, 104371, 47523, 29295, 103424, 115737, 31431, 5486, 112984, 23187, 54926, 104983, 16144, 35330, 109518, 29295, 115442, 31431, 33541, 9174, 58426, 104983, 5486, 59614, 101860, 102756, 107840, 32977, 32149, 107441, 33334, 102532, 72315, 1811, 122270, 5486, 101918, 123727, 110645, 26274, 255, 123410, 123017, 91774, 110074, 72342, 100604, 120098, 38641, 1811, 99695, 67075, 71289, 47307, 66953, 47260, 16144, 26274, 255, 16995, 112212, 112984, 23187, 29295, 68759, 25197, 96452, 22398, 117282, 105879, 5486, 59614, 101860, 110645, 26274, 255, 103801, 109954, 9174, 101918, 112984, 23187, 39880, 115507, 19732, 105324, 104369, 102944, 30512, 104655, 102334, 105908, 57903, 33541, 32149, 11571, 101918, 112984, 23187, 39880, 115507, 107118, 111476, 124131, 103927, 16556, 112825, 110904, 20230, 112984, 23187, 109518, 30512, 53283, 30369, 105908, 108608, 39880, 115507, 16144, 106592, 105324, 102802, 33541, 1811, 39880, 115507, 30512, 38129, 54926, 105110, 5486, 121568, 108134, 30512, 53283, 117063, 30369, 109215, 15682, 124897, 15024, 5486, 108064, 72661, 116414, 72661, 58426, 116245, 16556, 48154, 116907, 16556, 101918, 112984, 23187, 16144, 35330, 109518, 29295, 78183, 32149, 104533, 16144, 118733, 5486, 107740, 103792, 114754, 121771, 98369, 61689, 9174, 101918, 30512, 105525, 30369, 39177, 15682, 122603, 109518, 26854, 42506, 35330, 16556, 107691, 16995, 18655, 114598, 33503, 102334, 16995, 102944, 38641, 109807, 126101, 61633, 39926, 33334, 47884, 105908, 57903, 33541, 9174, 122582, 5486, 112984, 23187, 123410, 126913, 124911, 20230, 103001, 246, 71289, 49691, 121, 31431, 30512, 87177, 30813, 100604, 100909, 38641, 1811, 120007, 15682, 112984, 23187, 30512, 114363, 103722, 103306, 61689, 55031, 108149, 112568, 16144, 103001, 246, 30512, 16995, 107173, 28713, 126172, 47884, 91774, 105150, 76947, 103801, 61689, 9174, 65299, 102741, 30512, 43032, 103854, 111243, 57326, 112718, 102052, 28713, 124749, 122416, 32149, 5486, 25197, 126989, 29295, 109161, 115737, 76947, 103801, 16995, 5486, 109972, 16144, 113266, 29295, 15682, 127567, 102532, 114732, 16144, 38641, 9174, 91763, 108064, 47884, 48249, 111331, 101275, 30046, 30512, 40265, 28713, 76947, 64121, 111243, 112603, 38574, 29295, 59739, 126660, 105933, 39177, 15682, 5486, 25766, 225, 101918, 46034, 123628, 101918, 30512, 114363, 103722, 20230, 121247, 30297, 101275, 30046, 20230, 50021, 111813, 39926, 64121, 30369, 123017, 46034, 38641, 9174, 43511, 72516, 16556, 114330, 110596, 84389, 29295, 43514, 26854, 101918, 72661, 102131, 16995, 100472, 101275, 30046, 127303, 104984, 5486, 33655, 105262, 80805, 109089, 110904, 25129, 16556, 112984, 23187, 109768, 47884, 103846, 5486, 112603, 38574, 32977, 59739, 50834, 33541, 15024, 5486, 113801, 18655, 110615, 19732, 117952, 104028, 115789, 124897, 9174, 102717, 111201, 106084, 30369, 100909, 102083, 116285, 25766, 225, 101918, 117120, 17620, 119627, 5486, 105994, 16556, 110135, 108881, 31431, 123410, 110115, 57106, 103854, 127567, 107420, 20230, 49988, 122101, 118881, 29295, 119539, 38641, 15024, 124563, 112212, 103856, 16995, 38641, 9174, 108895, 56051, 114363, 103722, 101275, 112919, 105525, 31431, 15682, 5486, 82973, 19732, 46034, 56965, 104865, 117295, 25766, 225, 101918, 46034, 106307, 50834, 30512, 31640, 78183, 112586, 39926, 124089, 100909, 19732, 5486, 101918, 16144, 117120, 17620, 106382, 29295, 198, 92693, 102677, 100909, 38641, 9174, 107691, 18655, 20230, 17129, 59739, 78183, 30369, 50520, 238, 25340, 118, 101307, 104698, 32977, 72718, 50834, 100934, 105879, 95221, 30512, 47000, 107441, 72315, 9174, 43511, 126036, 45736, 109518, 26854, 112984, 23187, 35330, 109518, 30512, 46239, 39926, 120273, 103664, 30512, 102971, 102802, 5486, 39135, 104680, 19732, 111108, 23706, 244, 47000, 105784, 105933, 106592, 119852, 40265, 85707, 16144, 46239, 109518, 126036, 27384, 111044, 20230, 103167, 16995, 109518, 16556, 107691, 16995, 18655, 103950, 103306, 50834, 33541, 9174, 108446, 50928, 103082, 101860, 5486, 107691, 18655, 30512, 64889, 103950, 19732, 112990, 5486, 101918, 15682, 110577, 20230, 115201, 37705, 111587, 64121, 36785, 104309, 19732, 119852, 5486, 103768, 100066, 5486, 33563, 36651, 42506, 123160, 114667, 16556, 46456, 124237, 16995, 30512, 32018, 109315, 46034, 40526, 32977, 120270, 116216, 61689, 109807, 43511, 105352, 5486, 101918, 16144, 101682, 76622, 110968, 15024, 126198, 110115, 107691, 18655, 31640, 35330, 29295, 123927, 104526, 123606, 104435, 102677, 58721, 32977, 120270, 116216, 61689, 9174, 16325, 102491, 101918, 30512, 109198, 17701, 54926, 107803, 95221, 108176, 77195, 102083, 116285, 5486, 8107, 29430, 20230, 21601, 107290, 5486, 102149, 23039, 124349, 115717, 33541, 123794, 1811, 108936, 112535, 121270, 102491, 101918, 16144, 102149, 23039, 124349, 15682, 102677, 19732, 5486, 20713, 8107, 56965, 16556, 20713, 32307, 16400, 113314, 102677, 112973, 115274, 9554, 38641, 9174, 102131, 112990, 5486, 78250, 8107, 110498, 76947, 78250, 32307, 74, 127881, 108680, 16144, 102149, 23039, 124349, 29295, 108936, 109904, 107809, 102491, 101918, 16144, 102149, 23039, 124349, 108176, 102677, 100909, 38641, 1811, 128001, 128000, 679, 21, 8107, 22, 9953, 1114, 9080, 109935, 13177, 51330, 104364, 76947, 105321, 112130, 91006, 198, 13177, 102756, 62903, 123529, 119707, 50834, 126172, 16995, 17792, 66383, 13177, 102756, 62903, 123529, 119707, 50834, 20230, 47884, 16995, 17792, 117503, 104364, 198, 107118, 31195, 95532, 14711, 119806, 62903, 123529, 102052, 17, 104091, 104770, 101182, 198, 102756, 62903, 16144, 123529, 101921, 118, 102052, 111476, 76739, 107167, 16073, 101921, 118, 19732, 39880, 89154, 107167, 16073, 101921, 118, 198, 16144, 17, 104091, 104770, 115991, 33541, 3490, 76739, 107167, 16073, 101921, 118, 15682, 33014, 104840, 104873, 107792, 16144, 124122, 123529, 119707, 47884, 124122, 198, 123529, 101921, 118, 16556, 5486, 37087, 96356, 20230, 57903, 33541, 9174, 39880, 89154, 107167, 16073, 101921, 118, 15682, 108901, 34171, 30512, 45918, 246, 30297, 104983, 123160, 126238, 105714, 56051, 39177, 111476, 109834, 28194, 106, 39177, 104309, 20230, 123529, 119707, 47884, 123529, 101921, 118, 16556, 111476, 114516, 16144, 126513, 33014, 105811, 19732, 107173, 20230, 56906, 33208, 15024, 5486, 102756, 62903, 104309, 15120, 34048, 20230, 67016, 198, 108618, 107462, 107515, 9174, 102756, 62903, 123529, 119707, 50834, 126172, 16995, 17792, 102052, 111476, 12, 107748, 107167, 16073, 101921, 118, 117758, 123529, 29295, 127181, 17792, 198, 12, 94632, 89154, 107167, 16073, 101921, 118, 117758, 123529, 29295, 127181, 17792, 198, 16144, 25963, 104091, 104770, 115991, 5486, 123529, 119707, 50834, 126172, 47884, 109020, 113385, 71289, 198, 32149, 47884, 123529, 16144, 34171, 105284, 29295, 108901, 26854, 31431, 33541, 9174, 14711, 116201, 232, 105714, 15024, 126172, 118544, 104405, 32149, 198, 102756, 62903, 123529, 119707, 50834, 126172, 16995, 107707, 20713, 59739, 15682, 111476, 126238, 105714, 15024, 126172, 47884, 115132, 89154, 107167, 16073, 101921, 118, 117758, 123529, 119707, 50834, 126172, 16995, 17792, 38641, 9174, 101171, 229, 102052, 105871, 121496, 101921, 118, 32977, 43240, 47884, 111476, 126238, 105714, 9458, 71634, 108744, 113468, 115079, 105262, 103927, 33710, 102494, 113883, 113266, 113468, 198, 123529, 103378, 126194, 105871, 121496, 32977, 43240, 47884, 17620, 14888, 234, 107001, 105879, 111476, 78683, 90962, 25197, 29295, 95221, 108176, 5486, 102677, 101128, 102, 64121, 114792, 103836, 17792, 32977, 198, 127181, 38641, 123794, 9174, 14711, 220, 34617, 102280, 103296, 20230, 103188, 48154, 56051, 117501, 198, 33014, 104840, 104873, 107792, 123410, 124122, 76739, 107167, 16073, 101921, 118, 16144, 9039, 15682, 111476, 34617, 102280, 103296, 16144, 117501, 16556, 104662, 109709, 33541, 9174, 34617, 102280, 48154, 85791, 103296, 20230, 88399, 239, 16995, 116245, 38641, 48154, 56051, 116537, 198, 117759, 16995, 119208, 16556, 103188, 48154, 56051, 17792, 126036, 123529, 101921, 118, 16144, 9039, 29295, 115079, 58942, 111476, 123529, 119707, 50834, 126172, 115737, 31431, 33541, 9174, 117401, 30512, 103424, 47884, 39926, 105898, 17792, 5486, 102677, 123017, 120706, 77181, 77195, 103306, 198, 126362, 84389, 79721, 29295, 5486, 34617, 102280, 103296, 117401, 107113, 17792, 198, 102677, 104468, 30591, 109709, 101067, 23187, 118765, 105879, 198, 95221, 103550, 9458, 95221, 104840, 16144, 117375, 29295, 119448, 16995, 105879, 109954, 9174, 14711, 119806, 62903, 123529, 30512, 82533, 109315, 41007, 198, 102756, 62903, 123529, 120950, 5486, 17905, 103268, 96356, 55031, 102181, 47884, 123529, 30512, 82533, 109315, 102052, 111476, 103268, 110366, 102404, 123529, 10110, 15682, 25827, 27929, 47884, 15682, 42891, 32149, 25827, 23954, 30512, 107740, 112990, 8239, 114503, 9554, 38641, 9174, 120706, 77181, 111476, 102756, 62903, 16144, 17297, 19732, 198, 66953, 71634, 20251, 103830, 55031, 64467, 18, 22656, 17620, 120264, 17905, 30512, 121819, 117598, 54926, 111476, 19732, 122984, 84389, 79721, 29295, 111476, 103268, 110366, 102404, 123529, 15682, 5486, 121819, 117598, 56051, 23964, 229, 32938, 19732, 10110, 110924, 114556, 89046, 54926, 23964, 229, 32938, 120732, 102404, 123529, 29295, 114485, 31431, 111476, 31640, 78183, 112586, 127177, 116245, 55031, 123529, 119707, 47884, 5486, 102677, 102944, 9174, 107875, 100525, 241, 98369, 71289, 104261, 107875, 17885, 236, 107734, 30046, 29295, 115351, 30512, 111140, 45736, 20230, 126233, 109315, 118733, 198, 105791, 71289, 102756, 62903, 16144, 123529, 30512, 103181, 117201, 107991, 104468, 198, 51330, 106548, 103214, 64121, 124905, 103836, 16144, 38641, 9174, 51330, 8239, 114503, 30512, 101462, 247, 100472, 102832, 108958, 32977, 122626, 116216, 61689, 9174, 100815, 53953, 30512, 100815, 100604, 126513, 198, 51330, 105933, 13177, 123529, 82533, 62004, 66953, 102860, 118587, 107740, 54926, 123017, 46034, 38641, 9174, 7511, 53900, 5486, 66953, 71634, 20251, 103830, 16144, 34617, 5486, 46702, 105017, 251, 17905, 15682, 198, 11144, 102571, 102048, 111, 10110, 33334, 47884, 58942, 16995, 7705, 11199, 5486, 102677, 103223, 103672, 16556, 111476, 110382, 15682, 5486, 103268, 110366, 102404, 123529, 113266, 102677, 126036, 198, 37087, 96356, 16144, 123529, 30512, 73686, 32149, 122101, 8239, 114503, 115991, 33541, 9174, 103268, 110366, 102404, 123529, 77181, 111476, 17905, 103268, 96356, 30512, 121819, 117598, 39926, 5486, 102756, 62903, 71289, 105791, 16144, 123529, 30512, 126128, 105262, 31640, 78183, 112586, 111476, 101402, 32977, 32977, 104309, 17297, 103268, 96356, 117758, 123529, 29295, 115079, 105262, 100909, 108176, 105879, 111476, 77693, 77181, 110482, 30369, 5486, 102677, 116537, 198, 102571, 102048, 111, 10110, 33334, 47884, 58942, 16995, 7705, 30512, 64467, 121819, 54926, 112973, 57980, 117201, 109954, 9174, 14711, 119806, 62903, 123529, 119707, 47884, 17792, 110162, 126660, 107707, 104364, 9458, 102756, 62903, 123529, 30512, 82533, 109315, 41007, 107118, 11571, 13177, 51330, 104364, 76947, 105321, 112130, 91006, 123011, 62004, 198, 66378, 20230, 126238, 105714, 113468, 102756, 62903, 123529, 119707, 47884, 117809, 16144, 116537, 111476, 123529, 119707, 47884, 32149, 121061, 198, 19732, 95221, 117657, 105908, 89783, 82420, 20230, 126238, 105714, 54926, 113385, 105352, 109020, 105879, 111476, 48154, 126362, 56051, 123529, 30512, 82533, 109315, 41007, 116749, 20230, 111476, 12, 119806, 62903, 123529, 80805, 105404, 59739, 50834, 16144, 17297, 100815, 30512, 100815, 30369, 198, 12, 104966, 61994, 39880, 91062, 33710, 102465, 71289, 101198, 78205, 65299, 66953, 16073, 123160, 44416, 123529, 103234, 124905, 30297, 198, 102083, 100472, 127177, 103359, 105226, 32977, 54926, 118733, 198, 13177, 85701, 107407, 55031, 27384, 121313, 66383, 95604, 120208, 108176, 115789, 198, 109215, 38641, 123794, 9174, 15120, 24273, 5486, 34617, 102280, 103296, 5486, 123529, 119707, 50834, 126172, 16995, 117501, 20230, 102334, 113009, 198, 102756, 62903, 123529, 29295, 127181, 5486, 102677, 116537, 111476, 102756, 62903, 103378, 126194, 37087, 96356, 16144, 123529, 101921, 118, 29295, 43240, 47884, 111476, 33014, 104840, 104873, 107792, 16144, 124122, 123529, 119707, 50834, 126172, 16995, 17792, 38641, 9174, 85701, 15682, 113727, 101200, 113468, 15682, 111476, 126521, 123529, 119707, 47884, 106556, 10110, 109215, 26854, 101198, 102750, 32131, 33710, 104770, 15682, 88356, 107246, 110226, 108608, 7705, 29295, 126574, 198, 102677, 100909, 38641, 9174, 107118, 16995, 114598, 51, 105988, 103223, 123160, 123529, 76428, 101198, 15682, 71289, 15682, 31431, 110482, 104533, 33334, 32977, 61689, 105879, 111476, 48154, 126362, 56051, 41007, 30512, 106081, 17663, 19732, 57980, 16995, 106046, 61689, 9174, 121846, 116446, 64121, 38144, 72315, 1811, 128001, 128000, 116213, 88631, 81219, 101832, 15682, 5486, 108321, 29295, 24186, 20230, 114941, 103950, 117408, 123457, 76706, 11883, 56051, 117032, 16144, 81219, 101832, 103306, 38129, 107001, 102944, 55031, 5486, 119455, 101721, 107980, 16144, 101721, 110993, 103306, 38129, 107001, 102944, 5486, 101182, 16995, 15682, 123079, 102321, 75267, 16556, 124108, 54926, 113009, 33655, 126832, 81219, 101832, 104309, 103826, 104680, 26854, 11883, 108968, 16556, 38129, 116216, 61689, 1811, 123532, 76947, 5486, 116213, 88631, 81219, 101832, 30512, 113404, 54926, 102052, 5486, 126843, 15682, 11883, 108968, 20230, 106608, 100204, 28713, 32335, 109431, 26854, 103234, 105284, 30512, 102647, 23187, 54926, 105908, 19732, 111243, 107693, 38641, 9174, 110382, 77181, 5486, 116213, 88631, 81219, 101832, 30512, 113404, 107001, 76739, 123581, 114676, 16144, 112073, 103826, 29295, 121846, 116446, 115962, 105784, 101200, 5486, 116213, 88631, 81219, 101832, 16144, 103234, 105284, 109853, 50520, 111, 106624, 122984, 39926, 74843, 31431, 33541, 9174, 126843, 116213, 88631, 81219, 101832, 20230, 118935, 11883, 107001, 103234, 105284, 15682, 5486, 106518, 101275, 11883, 108968, 103306, 15682, 108936, 9554, 102052, 17297, 61304, 29295, 38129, 84389, 33541, 9174, 126843, 15682, 17297, 61304, 30512, 48154, 111182, 72315, 9174, 567, 220, 16, 13, 125202, 81219, 101832, 119807, 198, 108936, 109904, 11883, 108968, 127303, 104984, 5486, 77032, 5486, 16074, 5313, 5486, 37823, 103672, 16073, 119807, 30512, 121507, 78434, 1811, 47260, 71634, 99959, 115691, 117824, 102334, 16995, 107803, 102052, 102832, 109793, 78983, 119807, 30512, 121507, 112990, 103424, 117201, 109954, 9174, 126738, 40265, 61337, 77181, 5486, 113420, 101704, 34171, 29295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 125334, 100934, 127749, 16556, 101918, 16144, 105525, 33121, 23039, 50834, 15682, 103424, 47884, 109020, 105879, 105525, 105368, 20230, 109431, 56051, 39177, 23538, 19732, 78244, 58942, 33541, 101832, 1811, 112984, 23187, 109518, 16144, 30512, 109415, 30369, 46034, 38574, 103306, 5486, 43240, 119064, 114754, 119869, 20230, 91763, 108064, 47884, 112973, 108914, 101918, 123253, 9174, 70563, 71493, 70563, 71493, 20230, 108914, 101918, 126198, 121894, 16556, 112984, 23187, 30512, 120837, 33503, 30297, 100909, 112212, 104371, 47523, 29295, 103424, 115737, 31431, 5486, 112984, 23187, 54926, 104983, 16144, 35330, 109518, 29295, 115442, 31431, 33541, 9174, 58426, 104983, 5486, 59614, 101860, 102756, 107840, 32977, 32149, 107441, 33334, 102532, 72315, 1811, 122270, 5486, 101918, 123727, 110645, 26274, 255, 123410, 123017, 91774, 110074, 72342, 100604, 120098, 38641, 1811, 99695, 67075, 71289, 47307, 66953, 47260, 16144, 26274, 255, 16995, 112212, 112984, 23187, 29295, 68759, 25197, 96452, 22398, 117282, 105879, 5486, 59614, 101860, 110645, 26274, 255, 103801, 109954, 9174, 101918, 112984, 23187, 39880, 115507, 19732, 105324, 104369, 102944, 30512, 104655, 102334, 105908, 57903, 33541, 32149, 11571, 101918, 112984, 23187, 39880, 115507, 107118, 111476, 124131, 103927, 16556, 112825, 110904, 20230, 112984, 23187, 109518, 30512, 53283, 30369, 105908, 108608, 39880, 115507, 16144, 106592, 105324, 102802, 33541, 1811, 39880, 115507, 30512, 38129, 54926, 105110, 5486, 121568, 108134, 30512, 53283, 117063, 30369, 109215, 15682, 124897, 15024, 5486, 108064, 72661, 116414, 72661, 58426, 116245, 16556, 48154, 116907, 16556, 101918, 112984, 23187, 16144, 35330, 109518, 29295, 78183, 32149, 104533, 16144, 118733, 5486, 107740, 103792, 114754, 121771, 98369, 61689, 9174, 101918, 30512, 105525, 30369, 39177, 15682, 122603, 109518, 26854, 42506, 35330, 16556, 107691, 16995, 18655, 114598, 33503, 102334, 16995, 102944, 38641, 109807, 126101, 61633, 39926, 33334, 47884, 105908, 57903, 33541, 9174, 122582, 5486, 112984, 23187, 123410, 126913, 124911, 20230, 103001, 246, 71289, 49691, 121, 31431, 30512, 87177, 30813, 100604, 100909, 38641, 1811, 120007, 15682, 112984, 23187, 30512, 114363, 103722, 103306, 61689, 55031, 108149, 112568, 16144, 103001, 246, 30512, 16995, 107173, 28713, 126172, 47884, 91774, 105150, 76947, 103801, 61689, 9174, 65299, 102741, 30512, 43032, 103854, 111243, 57326, 112718, 102052, 28713, 124749, 122416, 32149, 5486, 25197, 126989, 29295, 109161, 115737, 76947, 103801, 16995, 5486, 109972, 16144, 113266, 29295, 15682, 127567, 102532, 114732, 16144, 38641, 9174, 91763, 108064, 47884, 48249, 111331, 101275, 30046, 30512, 40265, 28713, 76947, 64121, 111243, 112603, 38574, 29295, 59739, 126660, 105933, 39177, 15682, 5486, 25766, 225, 101918, 46034, 123628, 101918, 30512, 114363, 103722, 20230, 121247, 30297, 101275, 30046, 20230, 50021, 111813, 39926, 64121, 30369, 123017, 46034, 38641, 9174, 43511, 72516, 16556, 114330, 110596, 84389, 29295, 43514, 26854, 101918, 72661, 102131, 16995, 100472, 101275, 30046, 127303, 104984, 5486, 33655, 105262, 80805, 109089, 110904, 25129, 16556, 112984, 23187, 109768, 47884, 103846, 5486, 112603, 38574, 32977, 59739, 50834, 33541, 15024, 5486, 113801, 18655, 110615, 19732, 117952, 104028, 115789, 124897, 9174, 102717, 111201, 106084, 30369, 100909, 102083, 116285, 25766, 225, 101918, 117120, 17620, 119627, 5486, 105994, 16556, 110135, 108881, 31431, 123410, 110115, 57106, 103854, 127567, 107420, 20230, 49988, 122101, 118881, 29295, 119539, 38641, 15024, 124563, 112212, 103856, 16995, 38641, 9174, 108895, 56051, 114363, 103722, 101275, 112919, 105525, 31431, 15682, 5486, 82973, 19732, 46034, 56965, 104865, 117295, 25766, 225, 101918, 46034, 106307, 50834, 30512, 31640, 78183, 112586, 39926, 124089, 100909, 19732, 5486, 101918, 16144, 117120, 17620, 106382, 29295, 198, 92693, 102677, 100909, 38641, 9174, 107691, 18655, 20230, 17129, 59739, 78183, 30369, 50520, 238, 25340, 118, 101307, 104698, 32977, 72718, 50834, 100934, 105879, 95221, 30512, 47000, 107441, 72315, 9174, 43511, 126036, 45736, 109518, 26854, 112984, 23187, 35330, 109518, 30512, 46239, 39926, 120273, 103664, 30512, 102971, 102802, 5486, 39135, 104680, 19732, 111108, 23706, 244, 47000, 105784, 105933, 106592, 119852, 40265, 85707, 16144, 46239, 109518, 126036, 27384, 111044, 20230, 103167, 16995, 109518, 16556, 107691, 16995, 18655, 103950, 103306, 50834, 33541, 9174, 108446, 50928, 103082, 101860, 5486, 107691, 18655, 30512, 64889, 103950, 19732, 112990, 5486, 101918, 15682, 110577, 20230, 115201, 37705, 111587, 64121, 36785, 104309, 19732, 119852, 5486, 103768, 100066, 5486, 33563, 36651, 42506, 123160, 114667, 16556, 46456, 124237, 16995, 30512, 32018, 109315, 46034, 40526, 32977, 120270, 116216, 61689, 109807, 43511, 105352, 5486, 101918, 16144, 101682, 76622, 110968, 15024, 126198, 110115, 107691, 18655, 31640, 35330, 29295, 123927, 104526, 123606, 104435, 102677, 58721, 32977, 120270, 116216, 61689, 9174, 16325, 102491, 101918, 30512, 109198, 17701, 54926, 107803, 95221, 108176, 77195, 102083, 116285, 5486, 8107, 29430, 20230, 21601, 107290, 5486, 102149, 23039, 124349, 115717, 33541, 123794, 1811, 108936, 112535, 121270, 102491, 101918, 16144, 102149, 23039, 124349, 15682, 102677, 19732, 5486, 20713, 8107, 56965, 16556, 20713, 32307, 16400, 113314, 102677, 112973, 115274, 9554, 38641, 9174, 102131, 112990, 5486, 78250, 8107, 110498, 76947, 78250, 32307, 74, 127881, 108680, 16144, 102149, 23039, 124349, 29295, 108936, 109904, 107809, 102491, 101918, 16144, 102149, 23039, 124349, 108176, 102677, 100909, 38641, 1811, 128001, 128000, 679, 21, 8107, 22, 9953, 1114, 9080, 109935, 13177, 51330, 104364, 76947, 105321, 112130, 91006, 198, 13177, 102756, 62903, 123529, 119707, 50834, 126172, 16995, 17792, 66383, 13177, 102756, 62903, 123529, 119707, 50834, 20230, 47884, 16995, 17792, 117503, 104364, 198, 107118, 31195, 95532, 14711, 119806, 62903, 123529, 102052, 17, 104091, 104770, 101182, 198, 102756, 62903, 16144, 123529, 101921, 118, 102052, 111476, 76739, 107167, 16073, 101921, 118, 19732, 39880, 89154, 107167, 16073, 101921, 118, 198, 16144, 17, 104091, 104770, 115991, 33541, 3490, 76739, 107167, 16073, 101921, 118, 15682, 33014, 104840, 104873, 107792, 16144, 124122, 123529, 119707, 47884, 124122, 198, 123529, 101921, 118, 16556, 5486, 37087, 96356, 20230, 57903, 33541, 9174, 39880, 89154, 107167, 16073, 101921, 118, 15682, 108901, 34171, 30512, 45918, 246, 30297, 104983, 123160, 126238, 105714, 56051, 39177, 111476, 109834, 28194, 106, 39177, 104309, 20230, 123529, 119707, 47884, 123529, 101921, 118, 16556, 111476, 114516, 16144, 126513, 33014, 105811, 19732, 107173, 20230, 56906, 33208, 15024, 5486, 102756, 62903, 104309, 15120, 34048, 20230, 67016, 198, 108618, 107462, 107515, 9174, 102756, 62903, 123529, 119707, 50834, 126172, 16995, 17792, 102052, 111476, 12, 107748, 107167, 16073, 101921, 118, 117758, 123529, 29295, 127181, 17792, 198, 12, 94632, 89154, 107167, 16073, 101921, 118, 117758, 123529, 29295, 127181, 17792, 198, 16144, 25963, 104091, 104770, 115991, 5486, 123529, 119707, 50834, 126172, 47884, 109020, 113385, 71289, 198, 32149, 47884, 123529, 16144, 34171, 105284, 29295, 108901, 26854, 31431, 33541, 9174, 14711, 116201, 232, 105714, 15024, 126172, 118544, 104405, 32149, 198, 102756, 62903, 123529, 119707, 50834, 126172, 16995, 107707, 20713, 59739, 15682, 111476, 126238, 105714, 15024, 126172, 47884, 115132, 89154, 107167, 16073, 101921, 118, 117758, 123529, 119707, 50834, 126172, 16995, 17792, 38641, 9174, 101171, 229, 102052, 105871, 121496, 101921, 118, 32977, 43240, 47884, 111476, 126238, 105714, 9458, 71634, 108744, 113468, 115079, 105262, 103927, 33710, 102494, 113883, 113266, 113468, 198, 123529, 103378, 126194, 105871, 121496, 32977, 43240, 47884, 17620, 14888, 234, 107001, 105879, 111476, 78683, 90962, 25197, 29295, 95221, 108176, 5486, 102677, 101128, 102, 64121, 114792, 103836, 17792, 32977, 198, 127181, 38641, 123794, 9174, 14711, 220, 34617, 102280, 103296, 20230, 103188, 48154, 56051, 117501, 198, 33014, 104840, 104873, 107792, 123410, 124122, 76739, 107167, 16073, 101921, 118, 16144, 9039, 15682, 111476, 34617, 102280, 103296, 16144, 117501, 16556, 104662, 109709, 33541, 9174, 34617, 102280, 48154, 85791, 103296, 20230, 88399, 239, 16995, 116245, 38641, 48154, 56051, 116537, 198, 117759, 16995, 119208, 16556, 103188, 48154, 56051, 17792, 126036, 123529, 101921, 118, 16144, 9039, 29295, 115079, 58942, 111476, 123529, 119707, 50834, 126172, 115737, 31431, 33541, 9174, 117401, 30512, 103424, 47884, 39926, 105898, 17792, 5486, 102677, 123017, 120706, 77181, 77195, 103306, 198, 126362, 84389, 79721, 29295, 5486, 34617, 102280, 103296, 117401, 107113, 17792, 198, 102677, 104468, 30591, 109709, 101067, 23187, 118765, 105879, 198, 95221, 103550, 9458, 95221, 104840, 16144, 117375, 29295, 119448, 16995, 105879, 109954, 9174, 14711, 119806, 62903, 123529, 30512, 82533, 109315, 41007, 198, 102756, 62903, 123529, 120950, 5486, 17905, 103268, 96356, 55031, 102181, 47884, 123529, 30512, 82533, 109315, 102052, 111476, 103268, 110366, 102404, 123529, 10110, 15682, 25827, 27929, 47884, 15682, 42891, 32149, 25827, 23954, 30512, 107740, 112990, 8239, 114503, 9554, 38641, 9174, 120706, 77181, 111476, 102756, 62903, 16144, 17297, 19732, 198, 66953, 71634, 20251, 103830, 55031, 64467, 18, 22656, 17620, 120264, 17905, 30512, 121819, 117598, 54926, 111476, 19732, 122984, 84389, 79721, 29295, 111476, 103268, 110366, 102404, 123529, 15682, 5486, 121819, 117598, 56051, 23964, 229, 32938, 19732, 10110, 110924, 114556, 89046, 54926, 23964, 229, 32938, 120732, 102404, 123529, 29295, 114485, 31431, 111476, 31640, 78183, 112586, 127177, 116245, 55031, 123529, 119707, 47884, 5486, 102677, 102944, 9174, 107875, 100525, 241, 98369, 71289, 104261, 107875, 17885, 236, 107734, 30046, 29295, 115351, 30512, 111140, 45736, 20230, 126233, 109315, 118733, 198, 105791, 71289, 102756, 62903, 16144, 123529, 30512, 103181, 117201, 107991, 104468, 198, 51330, 106548, 103214, 64121, 124905, 103836, 16144, 38641, 9174, 51330, 8239, 114503, 30512, 101462, 247, 100472, 102832, 108958, 32977, 122626, 116216, 61689, 9174, 100815, 53953, 30512, 100815, 100604, 126513, 198, 51330, 105933, 13177, 123529, 82533, 62004, 66953, 102860, 118587, 107740, 54926, 123017, 46034, 38641, 9174, 7511, 53900, 5486, 66953, 71634, 20251, 103830, 16144, 34617, 5486, 46702, 105017, 251, 17905, 15682, 198, 11144, 102571, 102048, 111, 10110, 33334, 47884, 58942, 16995, 7705, 11199, 5486, 102677, 103223, 103672, 16556, 111476, 110382, 15682, 5486, 103268, 110366, 102404, 123529, 113266, 102677, 126036, 198, 37087, 96356, 16144, 123529, 30512, 73686, 32149, 122101, 8239, 114503, 115991, 33541, 9174, 103268, 110366, 102404, 123529, 77181, 111476, 17905, 103268, 96356, 30512, 121819, 117598, 39926, 5486, 102756, 62903, 71289, 105791, 16144, 123529, 30512, 126128, 105262, 31640, 78183, 112586, 111476, 101402, 32977, 32977, 104309, 17297, 103268, 96356, 117758, 123529, 29295, 115079, 105262, 100909, 108176, 105879, 111476, 77693, 77181, 110482, 30369, 5486, 102677, 116537, 198, 102571, 102048, 111, 10110, 33334, 47884, 58942, 16995, 7705, 30512, 64467, 121819, 54926, 112973, 57980, 117201, 109954, 9174, 14711, 119806, 62903, 123529, 119707, 47884, 17792, 110162, 126660, 107707, 104364, 9458, 102756, 62903, 123529, 30512, 82533, 109315, 41007, 107118, 11571, 13177, 51330, 104364, 76947, 105321, 112130, 91006, 123011, 62004, 198, 66378, 20230, 126238, 105714, 113468, 102756, 62903, 123529, 119707, 47884, 117809, 16144, 116537, 111476, 123529, 119707, 47884, 32149, 121061, 198, 19732, 95221, 117657, 105908, 89783, 82420, 20230, 126238, 105714, 54926, 113385, 105352, 109020, 105879, 111476, 48154, 126362, 56051, 123529, 30512, 82533, 109315, 41007, 116749, 20230, 111476, 12, 119806, 62903, 123529, 80805, 105404, 59739, 50834, 16144, 17297, 100815, 30512, 100815, 30369, 198, 12, 104966, 61994, 39880, 91062, 33710, 102465, 71289, 101198, 78205, 65299, 66953, 16073, 123160, 44416, 123529, 103234, 124905, 30297, 198, 102083, 100472, 127177, 103359, 105226, 32977, 54926, 118733, 198, 13177, 85701, 107407, 55031, 27384, 121313, 66383, 95604, 120208, 108176, 115789, 198, 109215, 38641, 123794, 9174, 15120, 24273, 5486, 34617, 102280, 103296, 5486, 123529, 119707, 50834, 126172, 16995, 117501, 20230, 102334, 113009, 198, 102756, 62903, 123529, 29295, 127181, 5486, 102677, 116537, 111476, 102756, 62903, 103378, 126194, 37087, 96356, 16144, 123529, 101921, 118, 29295, 43240, 47884, 111476, 33014, 104840, 104873, 107792, 16144, 124122, 123529, 119707, 50834, 126172, 16995, 17792, 38641, 9174, 85701, 15682, 113727, 101200, 113468, 15682, 111476, 126521, 123529, 119707, 47884, 106556, 10110, 109215, 26854, 101198, 102750, 32131, 33710, 104770, 15682, 88356, 107246, 110226, 108608, 7705, 29295, 126574, 198, 102677, 100909, 38641, 9174, 107118, 16995, 114598, 51, 105988, 103223, 123160, 123529, 76428, 101198, 15682, 71289, 15682, 31431, 110482, 104533, 33334, 32977, 61689, 105879, 111476, 48154, 126362, 56051, 41007, 30512, 106081, 17663, 19732, 57980, 16995, 106046, 61689, 9174, 121846, 116446, 64121, 38144, 72315, 1811, 128001, 128000, 116213, 88631, 81219, 101832, 15682, 5486, 108321, 29295, 24186, 20230, 114941, 103950, 117408, 123457, 76706, 11883, 56051, 117032, 16144, 81219, 101832, 103306, 38129, 107001, 102944, 55031, 5486, 119455, 101721, 107980, 16144, 101721, 110993, 103306, 38129, 107001, 102944, 5486, 101182, 16995, 15682, 123079, 102321, 75267, 16556, 124108, 54926, 113009, 33655, 126832, 81219, 101832, 104309, 103826, 104680, 26854, 11883, 108968, 16556, 38129, 116216, 61689, 1811, 123532, 76947, 5486, 116213, 88631, 81219, 101832, 30512, 113404, 54926, 102052, 5486, 126843, 15682, 11883, 108968, 20230, 106608, 100204, 28713, 32335, 109431, 26854, 103234, 105284, 30512, 102647, 23187, 54926, 105908, 19732, 111243, 107693, 38641, 9174, 110382, 77181, 5486, 116213, 88631, 81219, 101832, 30512, 113404, 107001, 76739, 123581, 114676, 16144, 112073, 103826, 29295, 121846, 116446, 115962, 105784, 101200, 5486, 116213, 88631, 81219, 101832, 16144, 103234, 105284, 109853, 50520, 111, 106624, 122984, 39926, 74843, 31431, 33541, 9174, 126843, 116213, 88631, 81219, 101832, 20230, 118935, 11883, 107001, 103234, 105284, 15682, 5486, 106518, 101275, 11883, 108968, 103306, 15682, 108936, 9554, 102052, 17297, 61304, 29295, 38129, 84389, 33541, 9174, 126843, 15682, 17297, 61304, 30512, 48154, 111182, 72315, 9174, 567, 220, 16, 13, 125202, 81219, 101832, 119807, 198, 108936, 109904, 11883, 108968, 127303, 104984, 5486, 77032, 5486, 16074, 5313, 5486, 37823, 103672, 16073, 119807, 30512, 121507, 78434, 1811, 47260, 71634, 99959, 115691, 117824, 102334, 16995, 107803, 102052, 102832, 109793, 78983, 119807, 30512, 121507, 112990, 103424, 117201, 109954, 9174, 126738, 40265, 61337, 77181, 5486, 113420, 101704, 34171, 29295 ]
[ 32018, 62004, 110071, 116213, 88631, 81219, 101832, 114556, 39926, 15682, 5486, 16074, 103234, 126250, 117041, 56051, 102944, 20230, 123307, 50834, 125639, 117824, 30297, 41007, 30512, 48154, 29172, 81742, 127145, 9174, 567, 220, 17, 13, 80050, 57933, 16073, 108744, 81219, 101832, 119807, 198, 103181, 91779, 228, 29295, 32018, 62004, 110071, 107803, 20230, 121507, 84389, 33541, 1811, 50, 2078, 12166, 11529, 5486, 50, 2078, 12405, 11529, 5486, 50, 2078, 21729, 11529, 29295, 106691, 35083, 116787, 5486, 102208, 104680, 110567, 30813, 108010, 117714, 87217, 46034, 10110, 327, 815, 2078, 12405, 12, 18, 14, 19, 39, 104309, 7705, 115991, 5486, 38129, 11883, 108968, 20230, 106608, 100204, 38144, 121507, 78434, 9174, 50, 2078, 12166, 11529, 19732, 50, 2078, 12405, 12, 18, 14, 19, 39, 16144, 110567, 27479, 15682, 42016, 113314, 26854, 105879, 5486, 117450, 34171, 104309, 127177, 31634, 72238, 32977, 124140, 64121, 106272, 32018, 109315, 110567, 30813, 30512, 114140, 109768, 50834, 33541, 9174, 567, 220, 18, 13, 108791, 16073, 103271, 103842, 227, 81219, 101832, 198, 36668, 20230, 47260, 102750, 29220, 47307, 9458, 37823, 110494, 9458, 22398, 25197, 108981, 9458, 101721, 110993, 123160, 33035, 101721, 29295, 109215, 26854, 102944, 20230, 38129, 84389, 33541, 1811, 66776, 117450, 34171, 16556, 39850, 26269, 62903, 29295, 102923, 15024, 126172, 16995, 102677, 66378, 17599, 112, 115991, 33541, 9174, 567, 220, 19, 13, 115813, 37823, 37823, 65299, 91062, 103842, 227, 81219, 101832, 198, 107805, 103271, 103842, 227, 81219, 101832, 19732, 42016, 103826, 20230, 5486, 33035, 101721, 29295, 109215, 26854, 30177, 28542, 104309, 20230, 38129, 84389, 33541, 29295, 5486, 107805, 103271, 103842, 227, 81219, 101832, 105755, 110567, 16995, 112973, 66378, 17599, 112, 116787, 10110, 39177, 126120, 117120, 22649, 117824, 16995, 110567, 27479, 30512, 109415, 30369, 65459, 106608, 48634, 71289, 15722, 103, 64121, 29295, 103721, 108, 31431, 104196, 84389, 111243, 83799, 103397, 30512, 109205, 69978, 54926, 109215, 107407, 34048, 25446, 20230, 38129, 84389, 33541, 9174, 567, 220, 20, 13, 113442, 127065, 81219, 101832, 198, 113420, 102456, 34171, 9458, 117355, 33857, 102677, 66378, 17599, 112, 30512, 76706, 123772, 5486, 116945, 9458, 117434, 25446, 123160, 11883, 108968, 16556, 38129, 107001, 119389, 26854, 81219, 101832, 38641, 1811, 78459, 127065, 81219, 101832, 20230, 38129, 107001, 104468, 5486, 78459, 127065, 107809, 72661, 52355, 78459, 127065, 19732, 127173, 104028, 102944, 115717, 33541, 9174, 567, 220, 21, 627, 76171, 47260, 124643, 81219, 101832, 198, 113420, 107969, 34171, 9458, 113420, 102456, 34171, 29295, 32018, 62004, 110071, 11883, 108968, 16556, 38129, 107001, 81219, 101832, 38641, 1811, 45736, 104840, 117501, 16556, 38129, 54926, 114743, 110164, 121040, 9458, 32943, 114887, 101513, 97518, 9458, 127920, 32943, 104309, 119389, 26854, 11883, 108968, 16556, 38129, 84389, 33541, 1811, 116213, 88631, 81219, 101832, 16144, 124448, 121960, 15682, 5486, 76171, 47260, 124643, 29295, 108008, 20230, 110567, 47884, 111108, 87844, 27479, 29295, 126574, 102944, 121711, 33541, 9174, 116213, 88631, 81219, 101832, 16144, 103234, 105284, 30512, 102647, 23187, 54926, 20230, 30591, 28713, 76947, 15682, 5486, 17905, 61304, 20230, 21601, 107290, 108321, 16144, 17701, 46034, 34171, 32977, 78698, 101557, 106, 54926, 109215, 115991, 33541, 9174, 27452, 116285, 77032, 15682, 108936, 9554, 119627, 16074, 103234, 120332, 29295, 17701, 46034, 34171, 29295, 45736, 102334, 62004, 58911, 32943, 22398, 115507, 94550, 124448, 32938, 77181, 16074, 103234, 30512, 48154, 29172, 81742, 54926, 105908, 43240, 115737, 76947, 61689, 1811, 128001, 128000, 2, 109283, 48915, 16556, 33563, 101662, 101559, 108176, 102052, 198, 679, 21, 8107, 22, 9953, 1032, 9080, 111505, 101662, 101559, 107118, 220, 15, 220, 15, 220, 15, 198, 33563, 101662, 101559, 30512, 30832, 64467, 17663, 112073, 98369, 5486, 33563, 101662, 101559, 16144, 76706, 109526, 235, 16144, 75267, 15682, 123085, 103378, 111769, 106592, 48154, 25359, 53283, 112130, 95532, 103350, 15682, 118899, 26130, 30832, 110731, 112973, 13177, 125559, 16556, 122502, 47884, 33563, 101662, 101559, 10646, 38641, 9174, 37689, 48915, 19732, 53283, 102204, 100481, 107515, 29295, 5486, 125559, 126202, 19000, 16144, 102433, 17792, 122013, 117255, 67645, 32977, 104067, 29295, 33035, 30297, 9080, 39276, 33563, 101662, 104674, 77181, 123085, 17792, 33563, 101662, 101559, 16144, 119890, 43167, 29295, 43240, 47884, 57903, 33541, 9174, 112599, 33563, 101662, 101559, 30512, 30832, 64467, 103792, 24273, 5486, 110577, 20230, 33563, 101662, 101559, 71289, 113261, 24615, 248, 104674, 100927, 101790, 255, 30512, 115181, 39926, 122502, 119188, 116537, 5486, 125559, 108436, 107430, 16144, 109933, 107446, 115991, 33541, 57980, 106609, 37271, 18904, 15682, 5486, 107943, 13177, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 10646, 104405, 127564, 126521, 104865, 5486, 30512, 48154, 126362, 78434, 9174, 567, 50550, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5232, 108285, 29295, 30369, 86206, 198, 43240, 119064, 102433, 114754, 125559, 103130, 20834, 123410, 110115, 124560, 39926, 5486, 125559, 16556, 104654, 54926, 122013, 32977, 115079, 107290, 61689, 9174, 58426, 103846, 123085, 114754, 33035, 30297, 9080, 39276, 33563, 101662, 104674, 77181, 123085, 107707, 33563, 101662, 101559, 16144, 86206, 29295, 45736, 17129, 76947, 61689, 9174, 116245, 15682, 127164, 71289, 112673, 118517, 26269, 80805, 115132, 125581, 104309, 103826, 104680, 16556, 5486, 112599, 125559, 16144, 33563, 101662, 104674, 102416, 108436, 107430, 15024, 5486, 76706, 109526, 235, 103792, 33563, 101662, 101559, 98369, 32977, 115079, 107290, 50834, 127280, 9174, 102433, 72661, 5486, 33563, 101662, 104674, 103378, 126194, 5486, 68408, 80805, 84477, 71289, 58666, 37729, 102452, 16144, 29245, 245, 116581, 32938, 104309, 5486, 103826, 104680, 26854, 116245, 113245, 33563, 101662, 101559, 16144, 25132, 229, 11883, 29295, 115079, 107290, 61689, 29295, 5486, 125559, 72661, 42016, 103826, 5486, 33563, 101662, 104674, 121142, 103470, 123085, 17792, 114181, 101426, 65854, 29295, 127181, 37823, 118091, 84477, 30590, 16144, 29245, 245, 116581, 32938, 72661, 123085, 17792, 33563, 101662, 101559, 16144, 119890, 43167, 125334, 30369, 30926, 32977, 101182, 117840, 9174, 33563, 101662, 101559, 115717, 106956, 107493, 5486, 125559, 16556, 127331, 33503, 17663, 100909, 71289, 102158, 48864, 105352, 109834, 103868, 107407, 5486, 102677, 24273, 102052, 5486, 108008, 20230, 101523, 227, 48634, 109904, 117501, 125651, 9174, 14711, 50550, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5232, 22398, 62903, 114615, 77195, 198, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5486, 33563, 101662, 101559, 103087, 35083, 30512, 32977, 103836, 121142, 126521, 105879, 109954, 32149, 95532, 103350, 104983, 102052, 121270, 108968, 118935, 11883, 16556, 119890, 43167, 110731, 105908, 102717, 19732, 124592, 16556, 5486, 17, 56040, 18, 116358, 103350, 102781, 106613, 111186, 30512, 32018, 62004, 110071, 105908, 127181, 117840, 9174, 38641, 55031, 5486, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5486, 126843, 15682, 32335, 103167, 72661, 18, 8107, 113314, 15682, 123085, 16144, 33563, 101662, 104674, 71289, 116581, 109421, 103005, 55228, 231, 102923, 102332, 16556, 114731, 102781, 54926, 105908, 109215, 115717, 102131, 125651, 9174, 53900, 5486, 125559, 20230, 60634, 101987, 54926, 113334, 38641, 55031, 5486, 112672, 64209, 55487, 108176, 112973, 13177, 102158, 48864, 48634, 10646, 38641, 9174, 85701, 109853, 15682, 5486, 102717, 127842, 124592, 16144, 32018, 114754, 123085, 102158, 116771, 16556, 4012, 102677, 107803, 29295, 127181, 117840, 9174, 90620, 15024, 5486, 114654, 12554, 237, 77181, 102433, 102158, 103378, 126194, 5486, 114654, 32977, 45144, 103, 27327, 26854, 17792, 30512, 32018, 109315, 101427, 122, 70141, 29295, 104195, 47884, 5486, 43511, 105352, 48915, 103087, 39276, 16144, 33563, 101662, 104674, 71289, 5486, 124773, 109793, 102895, 115307, 57326, 112997, 29220, 64178, 16144, 126513, 5486, 114654, 48634, 29295, 32018, 62004, 110071, 105908, 127181, 117840, 9174, 14711, 50550, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5232, 81258, 8239, 112, 91482, 103988, 198, 120523, 19732, 121953, 5486, 125559, 16556, 81258, 107430, 54926, 113009, 5486, 67645, 16144, 29504, 72661, 109215, 108176, 112973, 13177, 81258, 8239, 112, 91482, 103988, 10646, 38641, 9174, 81258, 8239, 112, 91482, 103988, 16144, 115181, 102052, 5486, 29504, 113468, 29504, 113468, 103826, 104680, 26854, 77195, 115991, 33541, 9174, 16325, 72661, 13177, 114363, 103722, 107430, 103195, 59712, 40452, 107430, 103195, 10646, 123160, 16906, 111, 102800, 77195, 107407, 115789, 57903, 33541, 29295, 5486, 33563, 101662, 101559, 71289, 113261, 24615, 248, 104674, 100927, 101790, 255, 15682, 114363, 103722, 107430, 38641, 55031, 110371, 77195, 32977, 29220, 104612, 125545, 9174, 53900, 123085, 17792, 70141, 76622, 16144, 33563, 101662, 104674, 71289, 113261, 24615, 248, 104674, 15682, 123085, 102158, 29295, 87177, 72342, 123207, 105110, 100604, 104309, 5486, 102321, 30590, 124911, 125030, 76947, 15682, 116900, 20230, 102040, 65575, 114615, 126574, 107430, 101275, 26854, 103846, 123085, 17792, 103195, 5486, 102677, 105908, 81258, 8239, 112, 91482, 103988, 16144, 115181, 20230, 19361, 60632, 20230, 122502, 47884, 125396, 32977, 57903, 33541, 9174, 117032, 16144, 117876, 127303, 104984, 5486, 81258, 8239, 112, 91482, 103988, 16144, 122635, 15682, 111108, 87844, 27479, 29295, 126574, 115789, 127181, 119627, 5486, 33563, 101662, 101559, 71289, 113261, 24615, 248, 104674, 100927, 101790, 255, 125030, 76947, 15682, 5486, 109606, 103470, 29220, 104612, 108608, 102677, 28542, 32977, 115003, 231, 102800, 125651, 9174, 14711, 50550, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5232, 32018, 107707, 102647, 102802, 24273, 198, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5486, 103983, 105564, 103306, 5486, 125559, 16144, 33563, 101662, 104674, 16144, 32018, 17792, 30512, 106767, 30813, 123207, 26854, 31431, 107515, 9174, 126843, 15682, 108436, 107430, 76739, 78767, 78349, 52414, 71289, 32018, 17792, 116229, 16556, 106767, 39926, 64121, 17129, 109954, 9174, 32018, 114754, 91774, 59739, 102518, 33503, 116898, 47884, 59739, 116421, 120098, 30512, 116696, 48552, 39926, 64121, 17129, 109954, 9174, 125559, 16556, 33563, 101662, 101559, 117282, 102052, 5486, 127408, 26854, 28542, 32977, 127181, 106046, 61689, 105879, 5486, 109020, 103854, 47884, 19361, 60632, 20230, 81258, 107430, 5486, 108436, 107430, 108608, 77195, 107407, 32149, 104405, 32149, 114447, 105908, 27384, 102769, 38641, 9174, 126843, 115303, 59739, 30832, 20230, 116696, 48552, 56051, 16995, 112973, 5486, 81258, 8239, 112, 91482, 103988, 16144, 115181, 60868, 121057, 38641, 9174, 33563, 101662, 101559, 71289, 113261, 24615, 248, 104674, 100927, 101790, 255, 16144, 107803, 5486, 81258, 8239, 112, 91482, 103988, 16144, 115181, 77195, 30512, 112624, 28713, 103792, 126513, 127181, 119627, 5486, 103350, 104983, 20230, 81258, 8239, 112, 91482, 103988, 30512, 115181, 54926, 46034, 106307, 50834, 102052, 5486, 121568, 16556, 23039, 30297, 19732, 102971, 106391, 26854, 8239, 112, 48634, 29295, 32149, 107277, 33541, 9174, 103082, 104984, 5486, 81258, 8239, 112, 91482, 103988, 115181, 60868, 121057, 117824, 107462, 104533, 107404, 104088, 126268, 102204, 104533, 126521, 125651, 9174, 33671, 20230, 5486, 60634, 101987, 106382, 11883, 71289, 101987, 104157, 109853, 60868, 121057, 107407, 32149, 104405, 32149, 38641, 9174, 125559, 16556, 33563, 101662, 101559, 108176, 104468, 5486, 125559, 120650, 76947, 104654, 123410, 109215, 115991, 33541, 55031, 5486, 107188, 31431, 107693, 26854, 120098, 102083, 76947, 103424, 117201, 109954, 9174, 104157, 101987, 116245, 103306, 5486, 15973, 106, 71289, 61337, 110362, 29295, 11883, 37689, 110731, 104865, 11571, 105994, 16556, 108703, 31431, 30369, 107803, 32977, 5486, 46729, 83812, 225, 111983, 103129, 15682, 20834, 30369, 104865, 11571, 104309, 30512, 114140, 39926, 33334, 50834, 17129, 109954, 1811, 66378, 20230, 105994, 16556, 108703, 31431, 30369, 107803, 5486, 125559, 77181, 123085, 105755, 46729, 83812, 225, 50021, 75267, 29295, 126574, 107803, 107407, 105879, 61633, 29295, 109215, 38641, 9174, 53900, 5486, 110968, 104743, 106382, 11883, 15682, 46456, 110698, 107001, 107803, 29295, 127181, 119627, 5486, 81258, 101275, 117232, 71289, 120273, 103664, 44915, 113468, 15682, 112454, 29504, 106382, 11883, 15682, 102099, 109972, 106529, 5486, 104309, 102677, 107803, 32977, 101182, 105879, 5486, 114652, 116696, 48552, 39926, 33334, 50834, 17129, 109954, 9174, 43511, 105352, 5486, 28190, 30177, 30590, 71289, 28190, 30177, 16144, 41007, 5486, 53900, 103350, 104983, 122502, 50834, 27704, 107436, 117758, 110698, 58318, 16144, 46456, 124237, 29295, 5486, 102321, 30590, 33035, 112756, 26854, 104865, 11571, 102433, 35757, 26854, 104865, 11571, 104309, 5486, 104398, 107188, 28542, 32977, 61633, 39926, 91774, 38144, 33334, 105898, 16995, 125651, 1811, 128001, 128000, 45829, 101662, 38144, 19732, 112844, 19732, 21105, 97, 76622, 71289, 53508, 231, 104195, 77693, 20230, 112183, 16995, 13177, 127032, 20230, 67645, 103171, 71174, 115856, 76622, 30512, 39926, 117119, 30512, 124545, 32149, 66383, 16995, 100472, 45829, 67645, 32977, 110792, 109467, 109904, 32149, 32149, 116547, 29295, 110305, 106240, 122060, 84389, 29295, 43514, 119627, 108048, 126036, 125821, 27384, 102769, 26854, 104468, 118006, 117501, 30512, 105298, 37087, 26854, 102944, 20230, 64531, 105262, 100909, 38641, 1811, 26854, 112371, 32149, 102677, 19732, 5486, 105298, 37087, 26854, 118006, 16556, 101662, 100472, 127032, 15682, 5486, 37026, 101860, 19732, 102099, 124615, 99750, 29295, 45736, 115737, 31431, 5486, 116900, 103496, 30512, 110498, 31431, 104087, 105262, 48634, 29295, 96356, 20230, 47000, 47884, 55031, 38641, 9174, 37271, 18904, 15682, 5486, 105298, 37087, 26854, 118006, 29295, 104405, 16995, 100472, 102944, 16556, 108048, 19732, 103359, 102867, 112535, 16937, 105298, 37087, 26854, 118006, 107118, 104405, 16995, 100472, 112391, 26854, 104865, 5486, 16937, 105298, 37087, 26854, 118006, 16556, 101662, 100472, 114754, 26854, 31431, 126172, 16995, 39880, 99959, 108958, 78459, 123186, 111999, 107118, 104405, 16995, 100472, 102944, 26854, 104865, 5486, 80539, 58426, 101545, 44309, 41007, 109853, 33334, 87177, 15024, 78434, 9174, 567, 108837, 98, 37087, 26854, 118006, 107118, 198, 105298, 37087, 26854, 122013, 15682, 5486, 104346, 33035, 119432, 126521, 122013, 107173, 78244, 58942, 33541, 1811, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 27384, 102769, 116446, 5486, 109606, 29295, 30591, 104984, 87177, 15024, 40862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32018, 62004, 110071, 116213, 88631, 81219, 101832, 114556, 39926, 15682, 5486, 16074, 103234, 126250, 117041, 56051, 102944, 20230, 123307, 50834, 125639, 117824, 30297, 41007, 30512, 48154, 29172, 81742, 127145, 9174, 567, 220, 17, 13, 80050, 57933, 16073, 108744, 81219, 101832, 119807, 198, 103181, 91779, 228, 29295, 32018, 62004, 110071, 107803, 20230, 121507, 84389, 33541, 1811, 50, 2078, 12166, 11529, 5486, 50, 2078, 12405, 11529, 5486, 50, 2078, 21729, 11529, 29295, 106691, 35083, 116787, 5486, 102208, 104680, 110567, 30813, 108010, 117714, 87217, 46034, 10110, 327, 815, 2078, 12405, 12, 18, 14, 19, 39, 104309, 7705, 115991, 5486, 38129, 11883, 108968, 20230, 106608, 100204, 38144, 121507, 78434, 9174, 50, 2078, 12166, 11529, 19732, 50, 2078, 12405, 12, 18, 14, 19, 39, 16144, 110567, 27479, 15682, 42016, 113314, 26854, 105879, 5486, 117450, 34171, 104309, 127177, 31634, 72238, 32977, 124140, 64121, 106272, 32018, 109315, 110567, 30813, 30512, 114140, 109768, 50834, 33541, 9174, 567, 220, 18, 13, 108791, 16073, 103271, 103842, 227, 81219, 101832, 198, 36668, 20230, 47260, 102750, 29220, 47307, 9458, 37823, 110494, 9458, 22398, 25197, 108981, 9458, 101721, 110993, 123160, 33035, 101721, 29295, 109215, 26854, 102944, 20230, 38129, 84389, 33541, 1811, 66776, 117450, 34171, 16556, 39850, 26269, 62903, 29295, 102923, 15024, 126172, 16995, 102677, 66378, 17599, 112, 115991, 33541, 9174, 567, 220, 19, 13, 115813, 37823, 37823, 65299, 91062, 103842, 227, 81219, 101832, 198, 107805, 103271, 103842, 227, 81219, 101832, 19732, 42016, 103826, 20230, 5486, 33035, 101721, 29295, 109215, 26854, 30177, 28542, 104309, 20230, 38129, 84389, 33541, 29295, 5486, 107805, 103271, 103842, 227, 81219, 101832, 105755, 110567, 16995, 112973, 66378, 17599, 112, 116787, 10110, 39177, 126120, 117120, 22649, 117824, 16995, 110567, 27479, 30512, 109415, 30369, 65459, 106608, 48634, 71289, 15722, 103, 64121, 29295, 103721, 108, 31431, 104196, 84389, 111243, 83799, 103397, 30512, 109205, 69978, 54926, 109215, 107407, 34048, 25446, 20230, 38129, 84389, 33541, 9174, 567, 220, 20, 13, 113442, 127065, 81219, 101832, 198, 113420, 102456, 34171, 9458, 117355, 33857, 102677, 66378, 17599, 112, 30512, 76706, 123772, 5486, 116945, 9458, 117434, 25446, 123160, 11883, 108968, 16556, 38129, 107001, 119389, 26854, 81219, 101832, 38641, 1811, 78459, 127065, 81219, 101832, 20230, 38129, 107001, 104468, 5486, 78459, 127065, 107809, 72661, 52355, 78459, 127065, 19732, 127173, 104028, 102944, 115717, 33541, 9174, 567, 220, 21, 627, 76171, 47260, 124643, 81219, 101832, 198, 113420, 107969, 34171, 9458, 113420, 102456, 34171, 29295, 32018, 62004, 110071, 11883, 108968, 16556, 38129, 107001, 81219, 101832, 38641, 1811, 45736, 104840, 117501, 16556, 38129, 54926, 114743, 110164, 121040, 9458, 32943, 114887, 101513, 97518, 9458, 127920, 32943, 104309, 119389, 26854, 11883, 108968, 16556, 38129, 84389, 33541, 1811, 116213, 88631, 81219, 101832, 16144, 124448, 121960, 15682, 5486, 76171, 47260, 124643, 29295, 108008, 20230, 110567, 47884, 111108, 87844, 27479, 29295, 126574, 102944, 121711, 33541, 9174, 116213, 88631, 81219, 101832, 16144, 103234, 105284, 30512, 102647, 23187, 54926, 20230, 30591, 28713, 76947, 15682, 5486, 17905, 61304, 20230, 21601, 107290, 108321, 16144, 17701, 46034, 34171, 32977, 78698, 101557, 106, 54926, 109215, 115991, 33541, 9174, 27452, 116285, 77032, 15682, 108936, 9554, 119627, 16074, 103234, 120332, 29295, 17701, 46034, 34171, 29295, 45736, 102334, 62004, 58911, 32943, 22398, 115507, 94550, 124448, 32938, 77181, 16074, 103234, 30512, 48154, 29172, 81742, 54926, 105908, 43240, 115737, 76947, 61689, 1811, 128001, 128000, 2, 109283, 48915, 16556, 33563, 101662, 101559, 108176, 102052, 198, 679, 21, 8107, 22, 9953, 1032, 9080, 111505, 101662, 101559, 107118, 220, 15, 220, 15, 220, 15, 198, 33563, 101662, 101559, 30512, 30832, 64467, 17663, 112073, 98369, 5486, 33563, 101662, 101559, 16144, 76706, 109526, 235, 16144, 75267, 15682, 123085, 103378, 111769, 106592, 48154, 25359, 53283, 112130, 95532, 103350, 15682, 118899, 26130, 30832, 110731, 112973, 13177, 125559, 16556, 122502, 47884, 33563, 101662, 101559, 10646, 38641, 9174, 37689, 48915, 19732, 53283, 102204, 100481, 107515, 29295, 5486, 125559, 126202, 19000, 16144, 102433, 17792, 122013, 117255, 67645, 32977, 104067, 29295, 33035, 30297, 9080, 39276, 33563, 101662, 104674, 77181, 123085, 17792, 33563, 101662, 101559, 16144, 119890, 43167, 29295, 43240, 47884, 57903, 33541, 9174, 112599, 33563, 101662, 101559, 30512, 30832, 64467, 103792, 24273, 5486, 110577, 20230, 33563, 101662, 101559, 71289, 113261, 24615, 248, 104674, 100927, 101790, 255, 30512, 115181, 39926, 122502, 119188, 116537, 5486, 125559, 108436, 107430, 16144, 109933, 107446, 115991, 33541, 57980, 106609, 37271, 18904, 15682, 5486, 107943, 13177, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 10646, 104405, 127564, 126521, 104865, 5486, 30512, 48154, 126362, 78434, 9174, 567, 50550, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5232, 108285, 29295, 30369, 86206, 198, 43240, 119064, 102433, 114754, 125559, 103130, 20834, 123410, 110115, 124560, 39926, 5486, 125559, 16556, 104654, 54926, 122013, 32977, 115079, 107290, 61689, 9174, 58426, 103846, 123085, 114754, 33035, 30297, 9080, 39276, 33563, 101662, 104674, 77181, 123085, 107707, 33563, 101662, 101559, 16144, 86206, 29295, 45736, 17129, 76947, 61689, 9174, 116245, 15682, 127164, 71289, 112673, 118517, 26269, 80805, 115132, 125581, 104309, 103826, 104680, 16556, 5486, 112599, 125559, 16144, 33563, 101662, 104674, 102416, 108436, 107430, 15024, 5486, 76706, 109526, 235, 103792, 33563, 101662, 101559, 98369, 32977, 115079, 107290, 50834, 127280, 9174, 102433, 72661, 5486, 33563, 101662, 104674, 103378, 126194, 5486, 68408, 80805, 84477, 71289, 58666, 37729, 102452, 16144, 29245, 245, 116581, 32938, 104309, 5486, 103826, 104680, 26854, 116245, 113245, 33563, 101662, 101559, 16144, 25132, 229, 11883, 29295, 115079, 107290, 61689, 29295, 5486, 125559, 72661, 42016, 103826, 5486, 33563, 101662, 104674, 121142, 103470, 123085, 17792, 114181, 101426, 65854, 29295, 127181, 37823, 118091, 84477, 30590, 16144, 29245, 245, 116581, 32938, 72661, 123085, 17792, 33563, 101662, 101559, 16144, 119890, 43167, 125334, 30369, 30926, 32977, 101182, 117840, 9174, 33563, 101662, 101559, 115717, 106956, 107493, 5486, 125559, 16556, 127331, 33503, 17663, 100909, 71289, 102158, 48864, 105352, 109834, 103868, 107407, 5486, 102677, 24273, 102052, 5486, 108008, 20230, 101523, 227, 48634, 109904, 117501, 125651, 9174, 14711, 50550, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5232, 22398, 62903, 114615, 77195, 198, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5486, 33563, 101662, 101559, 103087, 35083, 30512, 32977, 103836, 121142, 126521, 105879, 109954, 32149, 95532, 103350, 104983, 102052, 121270, 108968, 118935, 11883, 16556, 119890, 43167, 110731, 105908, 102717, 19732, 124592, 16556, 5486, 17, 56040, 18, 116358, 103350, 102781, 106613, 111186, 30512, 32018, 62004, 110071, 105908, 127181, 117840, 9174, 38641, 55031, 5486, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5486, 126843, 15682, 32335, 103167, 72661, 18, 8107, 113314, 15682, 123085, 16144, 33563, 101662, 104674, 71289, 116581, 109421, 103005, 55228, 231, 102923, 102332, 16556, 114731, 102781, 54926, 105908, 109215, 115717, 102131, 125651, 9174, 53900, 5486, 125559, 20230, 60634, 101987, 54926, 113334, 38641, 55031, 5486, 112672, 64209, 55487, 108176, 112973, 13177, 102158, 48864, 48634, 10646, 38641, 9174, 85701, 109853, 15682, 5486, 102717, 127842, 124592, 16144, 32018, 114754, 123085, 102158, 116771, 16556, 4012, 102677, 107803, 29295, 127181, 117840, 9174, 90620, 15024, 5486, 114654, 12554, 237, 77181, 102433, 102158, 103378, 126194, 5486, 114654, 32977, 45144, 103, 27327, 26854, 17792, 30512, 32018, 109315, 101427, 122, 70141, 29295, 104195, 47884, 5486, 43511, 105352, 48915, 103087, 39276, 16144, 33563, 101662, 104674, 71289, 5486, 124773, 109793, 102895, 115307, 57326, 112997, 29220, 64178, 16144, 126513, 5486, 114654, 48634, 29295, 32018, 62004, 110071, 105908, 127181, 117840, 9174, 14711, 50550, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5232, 81258, 8239, 112, 91482, 103988, 198, 120523, 19732, 121953, 5486, 125559, 16556, 81258, 107430, 54926, 113009, 5486, 67645, 16144, 29504, 72661, 109215, 108176, 112973, 13177, 81258, 8239, 112, 91482, 103988, 10646, 38641, 9174, 81258, 8239, 112, 91482, 103988, 16144, 115181, 102052, 5486, 29504, 113468, 29504, 113468, 103826, 104680, 26854, 77195, 115991, 33541, 9174, 16325, 72661, 13177, 114363, 103722, 107430, 103195, 59712, 40452, 107430, 103195, 10646, 123160, 16906, 111, 102800, 77195, 107407, 115789, 57903, 33541, 29295, 5486, 33563, 101662, 101559, 71289, 113261, 24615, 248, 104674, 100927, 101790, 255, 15682, 114363, 103722, 107430, 38641, 55031, 110371, 77195, 32977, 29220, 104612, 125545, 9174, 53900, 123085, 17792, 70141, 76622, 16144, 33563, 101662, 104674, 71289, 113261, 24615, 248, 104674, 15682, 123085, 102158, 29295, 87177, 72342, 123207, 105110, 100604, 104309, 5486, 102321, 30590, 124911, 125030, 76947, 15682, 116900, 20230, 102040, 65575, 114615, 126574, 107430, 101275, 26854, 103846, 123085, 17792, 103195, 5486, 102677, 105908, 81258, 8239, 112, 91482, 103988, 16144, 115181, 20230, 19361, 60632, 20230, 122502, 47884, 125396, 32977, 57903, 33541, 9174, 117032, 16144, 117876, 127303, 104984, 5486, 81258, 8239, 112, 91482, 103988, 16144, 122635, 15682, 111108, 87844, 27479, 29295, 126574, 115789, 127181, 119627, 5486, 33563, 101662, 101559, 71289, 113261, 24615, 248, 104674, 100927, 101790, 255, 125030, 76947, 15682, 5486, 109606, 103470, 29220, 104612, 108608, 102677, 28542, 32977, 115003, 231, 102800, 125651, 9174, 14711, 50550, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5232, 32018, 107707, 102647, 102802, 24273, 198, 125559, 16556, 33563, 101662, 101559, 108176, 102052, 5486, 103983, 105564, 103306, 5486, 125559, 16144, 33563, 101662, 104674, 16144, 32018, 17792, 30512, 106767, 30813, 123207, 26854, 31431, 107515, 9174, 126843, 15682, 108436, 107430, 76739, 78767, 78349, 52414, 71289, 32018, 17792, 116229, 16556, 106767, 39926, 64121, 17129, 109954, 9174, 32018, 114754, 91774, 59739, 102518, 33503, 116898, 47884, 59739, 116421, 120098, 30512, 116696, 48552, 39926, 64121, 17129, 109954, 9174, 125559, 16556, 33563, 101662, 101559, 117282, 102052, 5486, 127408, 26854, 28542, 32977, 127181, 106046, 61689, 105879, 5486, 109020, 103854, 47884, 19361, 60632, 20230, 81258, 107430, 5486, 108436, 107430, 108608, 77195, 107407, 32149, 104405, 32149, 114447, 105908, 27384, 102769, 38641, 9174, 126843, 115303, 59739, 30832, 20230, 116696, 48552, 56051, 16995, 112973, 5486, 81258, 8239, 112, 91482, 103988, 16144, 115181, 60868, 121057, 38641, 9174, 33563, 101662, 101559, 71289, 113261, 24615, 248, 104674, 100927, 101790, 255, 16144, 107803, 5486, 81258, 8239, 112, 91482, 103988, 16144, 115181, 77195, 30512, 112624, 28713, 103792, 126513, 127181, 119627, 5486, 103350, 104983, 20230, 81258, 8239, 112, 91482, 103988, 30512, 115181, 54926, 46034, 106307, 50834, 102052, 5486, 121568, 16556, 23039, 30297, 19732, 102971, 106391, 26854, 8239, 112, 48634, 29295, 32149, 107277, 33541, 9174, 103082, 104984, 5486, 81258, 8239, 112, 91482, 103988, 115181, 60868, 121057, 117824, 107462, 104533, 107404, 104088, 126268, 102204, 104533, 126521, 125651, 9174, 33671, 20230, 5486, 60634, 101987, 106382, 11883, 71289, 101987, 104157, 109853, 60868, 121057, 107407, 32149, 104405, 32149, 38641, 9174, 125559, 16556, 33563, 101662, 101559, 108176, 104468, 5486, 125559, 120650, 76947, 104654, 123410, 109215, 115991, 33541, 55031, 5486, 107188, 31431, 107693, 26854, 120098, 102083, 76947, 103424, 117201, 109954, 9174, 104157, 101987, 116245, 103306, 5486, 15973, 106, 71289, 61337, 110362, 29295, 11883, 37689, 110731, 104865, 11571, 105994, 16556, 108703, 31431, 30369, 107803, 32977, 5486, 46729, 83812, 225, 111983, 103129, 15682, 20834, 30369, 104865, 11571, 104309, 30512, 114140, 39926, 33334, 50834, 17129, 109954, 1811, 66378, 20230, 105994, 16556, 108703, 31431, 30369, 107803, 5486, 125559, 77181, 123085, 105755, 46729, 83812, 225, 50021, 75267, 29295, 126574, 107803, 107407, 105879, 61633, 29295, 109215, 38641, 9174, 53900, 5486, 110968, 104743, 106382, 11883, 15682, 46456, 110698, 107001, 107803, 29295, 127181, 119627, 5486, 81258, 101275, 117232, 71289, 120273, 103664, 44915, 113468, 15682, 112454, 29504, 106382, 11883, 15682, 102099, 109972, 106529, 5486, 104309, 102677, 107803, 32977, 101182, 105879, 5486, 114652, 116696, 48552, 39926, 33334, 50834, 17129, 109954, 9174, 43511, 105352, 5486, 28190, 30177, 30590, 71289, 28190, 30177, 16144, 41007, 5486, 53900, 103350, 104983, 122502, 50834, 27704, 107436, 117758, 110698, 58318, 16144, 46456, 124237, 29295, 5486, 102321, 30590, 33035, 112756, 26854, 104865, 11571, 102433, 35757, 26854, 104865, 11571, 104309, 5486, 104398, 107188, 28542, 32977, 61633, 39926, 91774, 38144, 33334, 105898, 16995, 125651, 1811, 128001, 128000, 45829, 101662, 38144, 19732, 112844, 19732, 21105, 97, 76622, 71289, 53508, 231, 104195, 77693, 20230, 112183, 16995, 13177, 127032, 20230, 67645, 103171, 71174, 115856, 76622, 30512, 39926, 117119, 30512, 124545, 32149, 66383, 16995, 100472, 45829, 67645, 32977, 110792, 109467, 109904, 32149, 32149, 116547, 29295, 110305, 106240, 122060, 84389, 29295, 43514, 119627, 108048, 126036, 125821, 27384, 102769, 26854, 104468, 118006, 117501, 30512, 105298, 37087, 26854, 102944, 20230, 64531, 105262, 100909, 38641, 1811, 26854, 112371, 32149, 102677, 19732, 5486, 105298, 37087, 26854, 118006, 16556, 101662, 100472, 127032, 15682, 5486, 37026, 101860, 19732, 102099, 124615, 99750, 29295, 45736, 115737, 31431, 5486, 116900, 103496, 30512, 110498, 31431, 104087, 105262, 48634, 29295, 96356, 20230, 47000, 47884, 55031, 38641, 9174, 37271, 18904, 15682, 5486, 105298, 37087, 26854, 118006, 29295, 104405, 16995, 100472, 102944, 16556, 108048, 19732, 103359, 102867, 112535, 16937, 105298, 37087, 26854, 118006, 107118, 104405, 16995, 100472, 112391, 26854, 104865, 5486, 16937, 105298, 37087, 26854, 118006, 16556, 101662, 100472, 114754, 26854, 31431, 126172, 16995, 39880, 99959, 108958, 78459, 123186, 111999, 107118, 104405, 16995, 100472, 102944, 26854, 104865, 5486, 80539, 58426, 101545, 44309, 41007, 109853, 33334, 87177, 15024, 78434, 9174, 567, 108837, 98, 37087, 26854, 118006, 107118, 198, 105298, 37087, 26854, 122013, 15682, 5486, 104346, 33035, 119432, 126521, 122013, 107173, 78244, 58942, 33541, 1811, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 27384, 102769, 116446, 5486, 109606, 29295, 30591, 104984, 87177, 15024, 40862 ]
[ 16995, 5486, 125641, 30512, 96455, 74245, 20230, 21405, 102321, 54926, 105908, 125545, 1811, 122013, 16556, 105465, 21105, 123, 71289, 104940, 102802, 30512, 17620, 32149, 43514, 40862, 16995, 5486, 13153, 101544, 71289, 104721, 33208, 30512, 104940, 102802, 30591, 61689, 1811, 122013, 103306, 112028, 33014, 99750, 30512, 112391, 59739, 59739, 32977, 5486, 17792, 35083, 71289, 102159, 104680, 16144, 57326, 102803, 66953, 120404, 29295, 113797, 30358, 84389, 5486, 102208, 104680, 29295, 115364, 106592, 27384, 30926, 117657, 105908, 125545, 9174, 105298, 37087, 26854, 118006, 15682, 5486, 45829, 67645, 102944, 64209, 19732, 33014, 16144, 105509, 124426, 38641, 1811, 105509, 124426, 77181, 5486, 111006, 109904, 105509, 29295, 105184, 33563, 84389, 5486, 123726, 30369, 113009, 109215, 26854, 105060, 102456, 101987, 29295, 104908, 107001, 121142, 103470, 5486, 106222, 117158, 30369, 124122, 108729, 109904, 33710, 64178, 71289, 64209, 106391, 58942, 29295, 96356, 20230, 114308, 33541, 1811, 105298, 37087, 26854, 118006, 15682, 64209, 16144, 105755, 67645, 107404, 121711, 5486, 116900, 103496, 30512, 110498, 31431, 104087, 105262, 112442, 95221, 30512, 58318, 107290, 120700, 33541, 9174, 86127, 105459, 29295, 102099, 103350, 102321, 30512, 28873, 28713, 17663, 103846, 102052, 5486, 21388, 113529, 71289, 19653, 30512, 103721, 108, 31431, 104196, 21105, 103, 29295, 33503, 106222, 117158, 38144, 106063, 31431, 118013, 54926, 105908, 32018, 62004, 102204, 33541, 109807, 113009, 118006, 29295, 5486, 115200, 16995, 39177, 71289, 127408, 26854, 126101, 108064, 72661, 114941, 76947, 85701, 30369, 51385, 64209, 105509, 26854, 116245, 103195, 105908, 27384, 102769, 38641, 9174, 567, 108837, 98, 37087, 26854, 118006, 113245, 106759, 16144, 107734, 111017, 198, 105298, 37087, 26854, 118006, 77181, 5486, 106759, 29295, 51330, 18, 118821, 107734, 111017, 30512, 106529, 76947, 61689, 9174, 12, 106722, 64209, 99750, 5232, 105060, 102456, 101987, 16144, 104908, 19732, 64209, 19732, 33014, 16144, 105509, 30512, 109205, 69978, 54926, 9174, 12, 63091, 37046, 113797, 30358, 5232, 45829, 67645, 32977, 30512, 15120, 107707, 114516, 103306, 101682, 76622, 125639, 5486, 104736, 62004, 5486, 113797, 30358, 54926, 9174, 12, 124109, 25197, 99959, 107446, 5232, 106222, 112028, 102351, 103306, 53283, 76947, 33334, 47884, 125231, 108729, 109904, 33710, 64178, 71289, 64209, 106391, 58942, 30512, 100927, 105262, 9174, 45829, 67645, 32977, 29295, 109606, 123120, 30512, 125119, 17663, 110018, 15682, 5486, 51385, 64209, 99750, 5486, 37026, 37046, 113797, 30358, 5486, 102472, 25197, 99959, 107446, 16144, 117591, 16144, 67645, 33121, 32149, 29295, 30297, 17129, 47884, 121432, 109768, 100604, 105908, 127181, 38641, 1811, 27452, 116285, 5486, 51385, 64209, 99750, 119703, 19732, 5486, 45829, 67645, 32977, 15682, 108064, 32977, 103760, 106759, 16144, 26130, 118146, 73686, 47884, 105933, 123120, 30512, 78434, 15024, 5486, 37026, 37046, 29295, 113797, 30358, 120837, 33503, 119841, 19732, 5486, 105994, 113115, 39926, 37026, 22023, 29295, 69978, 38144, 107515, 1811, 102472, 25197, 99959, 107446, 15682, 43240, 120195, 104533, 103188, 104055, 35086, 231, 9458, 103188, 123050, 115717, 5486, 106759, 20230, 95543, 102404, 54926, 45829, 67645, 32977, 32977, 20834, 38144, 109749, 123253, 118855, 102472, 25197, 99959, 107446, 29295, 37087, 47884, 100604, 19732, 5486, 45829, 67645, 32977, 15682, 106222, 34171, 29295, 96356, 107294, 32149, 101860, 5486, 66776, 23039, 20230, 102149, 30369, 115789, 57903, 33541, 9174, 567, 87109, 105298, 37087, 26854, 118006, 10110, 121432, 16937, 37087, 122013, 23954, 16937, 105298, 37087, 26854, 122013, 15682, 121432, 16937, 37087, 122013, 107173, 104712, 123213, 37507, 118006, 117083, 125231, 121432, 29295, 105298, 37087, 20230, 121432, 109768, 100604, 118006, 16144, 106592, 64467, 78434, 1811, 27452, 116285, 5486, 111006, 9554, 84264, 238, 75293, 5486, 127298, 9554, 84264, 238, 75293, 5486, 117332, 84264, 238, 75293, 123334, 101662, 116581, 54322, 77062, 226, 10110, 102750, 41758, 44971, 110548, 7705, 104309, 29295, 106691, 109904, 27452, 38641, 1811, 45829, 67645, 102944, 64209, 19732, 33014, 16144, 105509, 29295, 105184, 33563, 84389, 101860, 5486, 106222, 16556, 123726, 100481, 47884, 124122, 108729, 109904, 102472, 25197, 99959, 107446, 29295, 124490, 76622, 101732, 31431, 54926, 115789, 57903, 33541, 9174, 16937, 105298, 37087, 26854, 118006, 102052, 71634, 108744, 29295, 9080, 40053, 112535, 48706, 15024, 5486, 45829, 67645, 102944, 64209, 19732, 33014, 16144, 105298, 37087, 26854, 102404, 101662, 30512, 101171, 227, 32149, 78434, 109807, 105933, 118006, 117501, 126694, 30369, 106759, 15682, 5486, 125641, 112535, 39442, 109809, 103351, 31431, 113116, 112535, 127408, 23187, 103195, 115789, 127181, 38641, 1811, 27452, 116285, 5486, 106759, 29295, 107908, 47260, 64178, 103963, 25359, 111571, 71289, 104603, 68581, 16073, 112193, 103963, 25359, 111571, 103351, 31431, 117119, 33503, 116421, 113116, 116436, 111694, 30512, 108623, 58942, 101732, 31431, 112990, 5486, 106759, 29295, 106759, 16144, 107734, 111017, 30512, 28873, 28713, 72342, 101860, 20230, 45829, 67645, 32977, 20230, 103188, 21403, 108, 20230, 103963, 25359, 39926, 114732, 105908, 57903, 33541, 118855, 5486, 45829, 67645, 32977, 111363, 103188, 27479, 16144, 125494, 71289, 104736, 53283, 16144, 115598, 31431, 113468, 5486, 103188, 21403, 108, 26854, 21105, 97, 76622, 71289, 33710, 64178, 5486, 33014, 15581, 108, 30512, 110408, 15024, 47000, 107674, 31431, 54926, 115789, 57903, 33541, 1811, 104309, 32977, 51330, 105933, 106759, 15682, 45829, 67645, 102944, 109177, 108176, 106759, 102677, 115552, 16556, 13177, 109177, 106759, 66383, 127173, 104028, 115789, 57903, 33541, 9174, 16937, 105298, 37087, 26854, 118006, 77181, 5486, 106759, 29295, 45829, 67645, 32977, 30512, 47260, 52414, 42634, 64178, 15024, 5486, 37026, 80195, 30512, 100525, 101, 102639, 5486, 78244, 91875, 20230, 33476, 118078, 103351, 31431, 54926, 105879, 5486, 37026, 113797, 125641, 71289, 102099, 107624, 95001, 29295, 103167, 47884, 109020, 101427, 122, 70141, 20230, 57903, 33541, 1811, 45829, 67645, 102944, 110018, 20230, 58426, 105933, 118006, 16556, 101662, 43514, 5486, 118104, 39926, 55031, 32977, 123726, 20230, 47884, 30813, 71289, 64209, 20230, 114218, 30512, 108623, 58942, 100934, 107707, 106592, 13177, 39880, 99959, 108958, 78459, 123186, 111999, 66383, 16995, 61689, 9174, 39880, 99959, 108958, 78459, 123186, 111999, 15682, 5486, 103359, 17792, 116690, 121960, 120007, 110792, 124349, 99750, 29295, 109431, 102769, 20230, 18655, 30369, 112973, 107202, 46034, 38641, 107751, 17792, 55031, 104736, 62004, 102204, 106956, 102677, 120208, 29295, 104195, 47884, 5486, 117475, 15682, 115389, 126529, 107294, 108064, 16995, 41642, 111331, 125494, 20230, 106608, 107290, 114604, 31431, 5486, 117943, 64121, 30926, 30512, 64889, 33121, 104435, 31431, 78434, 1811, 115364, 125641, 29295, 105994, 16556, 78183, 55031, 101860, 5486, 123726, 30369, 120266, 105465, 21105, 123, 104088, 20834, 72342, 101860, 5486, 105994, 29295, 99849, 30046, 32149, 30813, 58942, 78183, 124403, 115789, 57903, 33541, 1811, 16325, 102052, 5486, 99046, 224, 102456, 108502, 104698, 10110, 120853, 102456, 111571, 5486, 103188, 102456, 111571, 5486, 103188, 102456, 103001, 242, 118328, 104309, 7705, 30512, 125119, 107113, 31431, 5486, 107908, 47260, 64178, 71289, 117434, 53953, 10110, 103242, 104599, 117758, 117120, 24273, 117434, 21403, 97, 32977, 96412, 104004, 120732, 103963, 25359, 111571, 110276, 31431, 5486, 126128, 30297, 59739, 121894, 20230, 14309, 98, 107991, 115789, 57903, 33541, 9174, 567, 94632, 99959, 108958, 78459, 123186, 111999, 16144, 117809, 198, 127164, 16144, 64810, 32131, 70563, 71634, 5486, 107167, 123428, 66953, 38248, 108, 103732, 104533, 115132, 99959, 108958, 78459, 123186, 111999, 102052, 21, 118821, 117809, 107407, 110792, 100909, 38641, 9174, 14711, 21370, 240, 118517, 11972, 198, 107202, 15024, 126559, 122013, 30512, 46456, 107290, 103129, 105784, 107734, 111017, 1811, 53508, 231, 104195, 71289, 124011, 109089, 16556, 80988, 239, 105714, 31431, 5486, 118006, 72661, 13177, 57980, 16995, 45829, 118587, 102446, 100204, 38144, 5486, 122013, 30512, 46456, 58942, 101200, 19732, 78434, 1811, 107461, 118517, 115247, 107734, 111017, 19732, 106529, 30297, 19732, 5486, 41642, 31431, 117758, 107624, 95001, 29295, 95221, 115717, 5486, 106084, 100604, 105994, 15682, 104736, 62004, 102204, 100604, 19732, 112391, 38144, 5486, 80988, 239, 105714, 31431, 106307, 105784, 100909, 115717, 33541, 9174, 14711, 125752, 76739, 42634, 10110, 45893, 33208, 104599, 23954, 127032, 113146, 20230, 101662, 100472, 117501, 29295, 40053, 20230, 126238, 105714, 121894, 20230, 57903, 5486, 105994, 29295, 41642, 116310, 20230, 95221, 124905, 78183, 100604, 19732, 5486, 122013, 16144, 112832, 32149, 29295, 16937, 101513, 115389, 108176, 117501, 20230, 115143, 84389, 101732, 31431, 56051, 103846, 108948, 104702, 33503, 107674, 31431, 5486, 49838, 16995, 30512, 45918, 246, 30297, 105933, 123120, 16556, 5486, 122013, 56965, 16144, 16995, 30813, 121867, 30512, 111098, 76622, 101200, 19732, 78434, 1811, 70563, 76739, 42634, 15682, 5486, 102099, 107624, 95001, 29295, 103167, 47884, 124563, 20230, 111201, 17486, 107, 107800, 31431, 5486, 127408, 26854, 120208, 30512, 125062, 78434, 1811, 115364, 125641, 30512, 21405, 17663, 105908, 103082, 101860, 5486, 48249, 98220, 103296, 13177, 59739, 110706, 59712, 103129, 107441, 66383, 78244, 119841, 115789, 57903, 33541, 9174, 14711, 109887, 32131, 102663, 120770, 10110, 101557, 108, 62004, 107734, 23954, 109606, 30512, 108623, 105262, 106759, 16144, 112160, 87217, 16144, 113954, 30046, 103306, 55999, 99750, 15024, 101557, 108, 62004, 33541, 1811, 104622, 102800, 95543, 28190, 5486, 115364, 78683, 106240, 126036, 17129, 78183, 111331, 78683, 106240, 30512, 32335, 104622, 61826, 107726, 5486, 105994, 30512, 101890, 254, 17044, 110, 117657, 101427, 122, 70141, 20230, 57903, 33541, 1811, 119436, 117084, 55031, 32977, 5486, 37026, 22023, 16144, 26854, 30813, 120550, 17792, 5486, 110482, 103836, 17792, 104088, 104533, 54322, 76947, 33334, 124324, 110229, 29295, 66378, 17599, 112, 38641, 9174, 14711, 125867, 39880, 57933, 25197, 107487, 10110, 37823, 127764, 96452, 61398, 9458, 101083, 87177, 107734, 23954, 109606, 16144, 101182, 106759, 16144, 31640, 78183, 112586, 106759, 16144, 107734, 111017, 30512, 106529, 16995, 5486, 122013, 16144, 101083, 87177, 30512, 78434, 1811, 106759, 16144, 113160, 49988, 16144, 114948, 31640, 116547, 123410, 118733, 106116, 109606, 117282, 106759, 29295, 112391, 30369, 125231, 74482, 101128, 242, 71289, 108631, 64121, 30512, 117355, 114485, 127145, 1811, 120007, 113115, 54926, 102987, 16995, 114284, 71289, 31431, 107407, 95543, 28190, 5486, 112832, 111201, 107542, 47884, 30813, 100604, 19732, 5486, 115364, 95001, 112603, 29295, 112391, 102204, 100604, 102677, 127749, 20230, 14309, 98, 31431, 29295, 43514, 38641, 9174, 14711, 80050, 102663, 107610, 103621, 84477, 10110, 96356, 31640, 31431, 107734, 23954, 122013, 16144, 112909, 101851, 102, 110027, 5486, 122013, 55031, 5877, 109, 102204, 5486, 64209, 55487, 107001, 16906, 226, 75910, 30046, 1811, 122013, 107809, 16556, 15120, 87217, 16144, 109606, 116581, 121711, 112160, 46729, 107809, 16144, 99959, 39850, 26854, 105494, 30512, 122617, 105068, 109972, 61689, 1811, 108789, 126758, 110115, 109161, 30046, 20230, 84389, 5486, 101890, 254, 17044, 110, 115717, 5486, 113160, 49988, 30512, 109972, 78183, 107001, 112973, 5486, 22398, 102663, 107610, 103621, 84477, 38641, 1811, 122013, 15682, 103031, 125001, 123733, 104984, 122617, 30297, 17129, 115737, 104533, 5486, 70141, 50834, 40862, 30297, 125231, 89151, 16144, 109606, 55031, 122013, 16144, 118146, 95543, 33503, 17663, 118733, 122013, 16144, 66953, 119930, 30512, 33563, 76947, 61689, 9174, 14711, 111002, 71634, 102756, 16073, 10110, 109440, 45829, 117255, 23954, 103572, 38574, 55031, 30591, 109709, 30832, 80195, 28713, 101860, 5486, 105994, 55031, 114640, 30512, 36668, 105714, 56051, 31431, 21105, 103, 117201, 5486, 48706, 99750, 119703, 121894, 126694, 31431, 5486, 105994, 29295, 114218, 59739, 47884, 106592, 103181, 117201, 61689, 1811, 41642, 116310, 126328, 102717, 33334, 76947, 33334, 102532, 32977, 27384, 121313, 106046, 78183, 106824, 61689, 123601, 116537, 54322, 76947, 33334, 32149, 104028, 120266, 101557, 96, 106824, 103801, 16995, 5486, 105368, 76947, 48706, 20230, 95221, 109669, 32149, 103468, 31431, 37689, 109375, 107001, 120266, 107202, 46034, 37689, 109375, 30512, 112391, 30369, 101200, 115717, 33541, 9174, 45829, 67645, 32977, 15682, 5486, 121432, 16937, 37087, 122013, 16556, 101662, 107462, 47884, 117591, 20230, 122013, 30512, 46456, 105262, 113009, 51330, 105933, 107734, 111017, 30512, 109683, 19732, 109311, 76622, 109972, 76947, 103801, 61689, 124845, 118104, 56051, 30591, 19732, 20230, 5486, 41642, 31431, 17792, 107173, 112361, 105933, 116690, 30512, 113638, 102532, 114732, 115789, 127181, 38641, 1811, 27452, 116285, 5486, 126326, 39926, 127032, 29295, 21990, 17129, 103468, 126101, 5486, 45829, 67645, 102944, 110018, 20230, 116216, 115389, 103351, 106759, 16144, 123120, 19732, 112361, 106592, 45829, 67645, 32977, 116446, 114604, 31431, 5486, 101908, 113115, 39926, 103188, 86436, 20230, 106759, 113115, 39926, 69978, 106358, 110018, 19732, 112361, 105933, 125641, 114792, 76947, 114732, 115789, 57903, 33541, 9174, 39880, 99959, 108958, 78459, 123186, 111999, 10110, 1741, 119735, 110745, 17792, 101983, 114598, 105298, 37087, 26854, 114516, 116690, 30512, 101662, 104004, 120266, 111108, 21105, 243, 30512, 112391, 33541, 29295, 5486, 112599, 69978, 59739, 123726, 109669, 33503, 30813, 71289, 114516, 116690, 16144, 101128, 102, 64121, 32977, 5486, 32977, 19732, 30512, 90620, 72342, 81219, 127032, 113146, 16144, 106759, 45829, 116690, 29295, 102404, 79982, 103195, 125396, 29295, 126574, 107173, 78244, 58942, 33541, 9174, 567, 94632, 99959, 108958, 78459, 123186, 111999, 16144, 101545, 44309, 25333, 198, 39880, 99959, 108958, 78459, 123186, 111999, 15682, 45829, 67645, 102944, 119400, 5486, 106759, 16144, 105791, 39135, 30512, 17885, 118, 16995, 106272, 115364, 125641, 30512, 108055, 39926, 123726, 38144, 105898, 105879, 5486, 115364, 117475, 16144, 125641, 20230, 116499, 47000, 47884, 105908, 107202, 46034, 103351, 31431, 5486, 37046, 110020, 30512, 104195, 16995, 124195, 106759, 16144, 114284, 33035, 112586, 123120, 39926, 105898, 113009, 5486, 105994, 29295, 99849, 126198, 16995, 104865, 29295, 78183, 55031, 104435, 31431, 54926, 32149, 110241, 33121, 107515, 1811, 38641, 55031, 5486, 107943, 39880, 99959, 108958, 78459, 123186, 111999, 30512, 101545, 44309, 54926, 102052, 5486, 115364, 45829, 67645, 32977, 113146, 30512, 65854, 114181, 112535, 91774, 59739, 62004, 126738, 17663, 109215, 115991, 33541, 9174, 39880, 99959, 108958, 78459, 123186, 111999, 55031, 18904, 109095, 54926, 106826, 103830 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16995, 5486, 125641, 30512, 96455, 74245, 20230, 21405, 102321, 54926, 105908, 125545, 1811, 122013, 16556, 105465, 21105, 123, 71289, 104940, 102802, 30512, 17620, 32149, 43514, 40862, 16995, 5486, 13153, 101544, 71289, 104721, 33208, 30512, 104940, 102802, 30591, 61689, 1811, 122013, 103306, 112028, 33014, 99750, 30512, 112391, 59739, 59739, 32977, 5486, 17792, 35083, 71289, 102159, 104680, 16144, 57326, 102803, 66953, 120404, 29295, 113797, 30358, 84389, 5486, 102208, 104680, 29295, 115364, 106592, 27384, 30926, 117657, 105908, 125545, 9174, 105298, 37087, 26854, 118006, 15682, 5486, 45829, 67645, 102944, 64209, 19732, 33014, 16144, 105509, 124426, 38641, 1811, 105509, 124426, 77181, 5486, 111006, 109904, 105509, 29295, 105184, 33563, 84389, 5486, 123726, 30369, 113009, 109215, 26854, 105060, 102456, 101987, 29295, 104908, 107001, 121142, 103470, 5486, 106222, 117158, 30369, 124122, 108729, 109904, 33710, 64178, 71289, 64209, 106391, 58942, 29295, 96356, 20230, 114308, 33541, 1811, 105298, 37087, 26854, 118006, 15682, 64209, 16144, 105755, 67645, 107404, 121711, 5486, 116900, 103496, 30512, 110498, 31431, 104087, 105262, 112442, 95221, 30512, 58318, 107290, 120700, 33541, 9174, 86127, 105459, 29295, 102099, 103350, 102321, 30512, 28873, 28713, 17663, 103846, 102052, 5486, 21388, 113529, 71289, 19653, 30512, 103721, 108, 31431, 104196, 21105, 103, 29295, 33503, 106222, 117158, 38144, 106063, 31431, 118013, 54926, 105908, 32018, 62004, 102204, 33541, 109807, 113009, 118006, 29295, 5486, 115200, 16995, 39177, 71289, 127408, 26854, 126101, 108064, 72661, 114941, 76947, 85701, 30369, 51385, 64209, 105509, 26854, 116245, 103195, 105908, 27384, 102769, 38641, 9174, 567, 108837, 98, 37087, 26854, 118006, 113245, 106759, 16144, 107734, 111017, 198, 105298, 37087, 26854, 118006, 77181, 5486, 106759, 29295, 51330, 18, 118821, 107734, 111017, 30512, 106529, 76947, 61689, 9174, 12, 106722, 64209, 99750, 5232, 105060, 102456, 101987, 16144, 104908, 19732, 64209, 19732, 33014, 16144, 105509, 30512, 109205, 69978, 54926, 9174, 12, 63091, 37046, 113797, 30358, 5232, 45829, 67645, 32977, 30512, 15120, 107707, 114516, 103306, 101682, 76622, 125639, 5486, 104736, 62004, 5486, 113797, 30358, 54926, 9174, 12, 124109, 25197, 99959, 107446, 5232, 106222, 112028, 102351, 103306, 53283, 76947, 33334, 47884, 125231, 108729, 109904, 33710, 64178, 71289, 64209, 106391, 58942, 30512, 100927, 105262, 9174, 45829, 67645, 32977, 29295, 109606, 123120, 30512, 125119, 17663, 110018, 15682, 5486, 51385, 64209, 99750, 5486, 37026, 37046, 113797, 30358, 5486, 102472, 25197, 99959, 107446, 16144, 117591, 16144, 67645, 33121, 32149, 29295, 30297, 17129, 47884, 121432, 109768, 100604, 105908, 127181, 38641, 1811, 27452, 116285, 5486, 51385, 64209, 99750, 119703, 19732, 5486, 45829, 67645, 32977, 15682, 108064, 32977, 103760, 106759, 16144, 26130, 118146, 73686, 47884, 105933, 123120, 30512, 78434, 15024, 5486, 37026, 37046, 29295, 113797, 30358, 120837, 33503, 119841, 19732, 5486, 105994, 113115, 39926, 37026, 22023, 29295, 69978, 38144, 107515, 1811, 102472, 25197, 99959, 107446, 15682, 43240, 120195, 104533, 103188, 104055, 35086, 231, 9458, 103188, 123050, 115717, 5486, 106759, 20230, 95543, 102404, 54926, 45829, 67645, 32977, 32977, 20834, 38144, 109749, 123253, 118855, 102472, 25197, 99959, 107446, 29295, 37087, 47884, 100604, 19732, 5486, 45829, 67645, 32977, 15682, 106222, 34171, 29295, 96356, 107294, 32149, 101860, 5486, 66776, 23039, 20230, 102149, 30369, 115789, 57903, 33541, 9174, 567, 87109, 105298, 37087, 26854, 118006, 10110, 121432, 16937, 37087, 122013, 23954, 16937, 105298, 37087, 26854, 122013, 15682, 121432, 16937, 37087, 122013, 107173, 104712, 123213, 37507, 118006, 117083, 125231, 121432, 29295, 105298, 37087, 20230, 121432, 109768, 100604, 118006, 16144, 106592, 64467, 78434, 1811, 27452, 116285, 5486, 111006, 9554, 84264, 238, 75293, 5486, 127298, 9554, 84264, 238, 75293, 5486, 117332, 84264, 238, 75293, 123334, 101662, 116581, 54322, 77062, 226, 10110, 102750, 41758, 44971, 110548, 7705, 104309, 29295, 106691, 109904, 27452, 38641, 1811, 45829, 67645, 102944, 64209, 19732, 33014, 16144, 105509, 29295, 105184, 33563, 84389, 101860, 5486, 106222, 16556, 123726, 100481, 47884, 124122, 108729, 109904, 102472, 25197, 99959, 107446, 29295, 124490, 76622, 101732, 31431, 54926, 115789, 57903, 33541, 9174, 16937, 105298, 37087, 26854, 118006, 102052, 71634, 108744, 29295, 9080, 40053, 112535, 48706, 15024, 5486, 45829, 67645, 102944, 64209, 19732, 33014, 16144, 105298, 37087, 26854, 102404, 101662, 30512, 101171, 227, 32149, 78434, 109807, 105933, 118006, 117501, 126694, 30369, 106759, 15682, 5486, 125641, 112535, 39442, 109809, 103351, 31431, 113116, 112535, 127408, 23187, 103195, 115789, 127181, 38641, 1811, 27452, 116285, 5486, 106759, 29295, 107908, 47260, 64178, 103963, 25359, 111571, 71289, 104603, 68581, 16073, 112193, 103963, 25359, 111571, 103351, 31431, 117119, 33503, 116421, 113116, 116436, 111694, 30512, 108623, 58942, 101732, 31431, 112990, 5486, 106759, 29295, 106759, 16144, 107734, 111017, 30512, 28873, 28713, 72342, 101860, 20230, 45829, 67645, 32977, 20230, 103188, 21403, 108, 20230, 103963, 25359, 39926, 114732, 105908, 57903, 33541, 118855, 5486, 45829, 67645, 32977, 111363, 103188, 27479, 16144, 125494, 71289, 104736, 53283, 16144, 115598, 31431, 113468, 5486, 103188, 21403, 108, 26854, 21105, 97, 76622, 71289, 33710, 64178, 5486, 33014, 15581, 108, 30512, 110408, 15024, 47000, 107674, 31431, 54926, 115789, 57903, 33541, 1811, 104309, 32977, 51330, 105933, 106759, 15682, 45829, 67645, 102944, 109177, 108176, 106759, 102677, 115552, 16556, 13177, 109177, 106759, 66383, 127173, 104028, 115789, 57903, 33541, 9174, 16937, 105298, 37087, 26854, 118006, 77181, 5486, 106759, 29295, 45829, 67645, 32977, 30512, 47260, 52414, 42634, 64178, 15024, 5486, 37026, 80195, 30512, 100525, 101, 102639, 5486, 78244, 91875, 20230, 33476, 118078, 103351, 31431, 54926, 105879, 5486, 37026, 113797, 125641, 71289, 102099, 107624, 95001, 29295, 103167, 47884, 109020, 101427, 122, 70141, 20230, 57903, 33541, 1811, 45829, 67645, 102944, 110018, 20230, 58426, 105933, 118006, 16556, 101662, 43514, 5486, 118104, 39926, 55031, 32977, 123726, 20230, 47884, 30813, 71289, 64209, 20230, 114218, 30512, 108623, 58942, 100934, 107707, 106592, 13177, 39880, 99959, 108958, 78459, 123186, 111999, 66383, 16995, 61689, 9174, 39880, 99959, 108958, 78459, 123186, 111999, 15682, 5486, 103359, 17792, 116690, 121960, 120007, 110792, 124349, 99750, 29295, 109431, 102769, 20230, 18655, 30369, 112973, 107202, 46034, 38641, 107751, 17792, 55031, 104736, 62004, 102204, 106956, 102677, 120208, 29295, 104195, 47884, 5486, 117475, 15682, 115389, 126529, 107294, 108064, 16995, 41642, 111331, 125494, 20230, 106608, 107290, 114604, 31431, 5486, 117943, 64121, 30926, 30512, 64889, 33121, 104435, 31431, 78434, 1811, 115364, 125641, 29295, 105994, 16556, 78183, 55031, 101860, 5486, 123726, 30369, 120266, 105465, 21105, 123, 104088, 20834, 72342, 101860, 5486, 105994, 29295, 99849, 30046, 32149, 30813, 58942, 78183, 124403, 115789, 57903, 33541, 1811, 16325, 102052, 5486, 99046, 224, 102456, 108502, 104698, 10110, 120853, 102456, 111571, 5486, 103188, 102456, 111571, 5486, 103188, 102456, 103001, 242, 118328, 104309, 7705, 30512, 125119, 107113, 31431, 5486, 107908, 47260, 64178, 71289, 117434, 53953, 10110, 103242, 104599, 117758, 117120, 24273, 117434, 21403, 97, 32977, 96412, 104004, 120732, 103963, 25359, 111571, 110276, 31431, 5486, 126128, 30297, 59739, 121894, 20230, 14309, 98, 107991, 115789, 57903, 33541, 9174, 567, 94632, 99959, 108958, 78459, 123186, 111999, 16144, 117809, 198, 127164, 16144, 64810, 32131, 70563, 71634, 5486, 107167, 123428, 66953, 38248, 108, 103732, 104533, 115132, 99959, 108958, 78459, 123186, 111999, 102052, 21, 118821, 117809, 107407, 110792, 100909, 38641, 9174, 14711, 21370, 240, 118517, 11972, 198, 107202, 15024, 126559, 122013, 30512, 46456, 107290, 103129, 105784, 107734, 111017, 1811, 53508, 231, 104195, 71289, 124011, 109089, 16556, 80988, 239, 105714, 31431, 5486, 118006, 72661, 13177, 57980, 16995, 45829, 118587, 102446, 100204, 38144, 5486, 122013, 30512, 46456, 58942, 101200, 19732, 78434, 1811, 107461, 118517, 115247, 107734, 111017, 19732, 106529, 30297, 19732, 5486, 41642, 31431, 117758, 107624, 95001, 29295, 95221, 115717, 5486, 106084, 100604, 105994, 15682, 104736, 62004, 102204, 100604, 19732, 112391, 38144, 5486, 80988, 239, 105714, 31431, 106307, 105784, 100909, 115717, 33541, 9174, 14711, 125752, 76739, 42634, 10110, 45893, 33208, 104599, 23954, 127032, 113146, 20230, 101662, 100472, 117501, 29295, 40053, 20230, 126238, 105714, 121894, 20230, 57903, 5486, 105994, 29295, 41642, 116310, 20230, 95221, 124905, 78183, 100604, 19732, 5486, 122013, 16144, 112832, 32149, 29295, 16937, 101513, 115389, 108176, 117501, 20230, 115143, 84389, 101732, 31431, 56051, 103846, 108948, 104702, 33503, 107674, 31431, 5486, 49838, 16995, 30512, 45918, 246, 30297, 105933, 123120, 16556, 5486, 122013, 56965, 16144, 16995, 30813, 121867, 30512, 111098, 76622, 101200, 19732, 78434, 1811, 70563, 76739, 42634, 15682, 5486, 102099, 107624, 95001, 29295, 103167, 47884, 124563, 20230, 111201, 17486, 107, 107800, 31431, 5486, 127408, 26854, 120208, 30512, 125062, 78434, 1811, 115364, 125641, 30512, 21405, 17663, 105908, 103082, 101860, 5486, 48249, 98220, 103296, 13177, 59739, 110706, 59712, 103129, 107441, 66383, 78244, 119841, 115789, 57903, 33541, 9174, 14711, 109887, 32131, 102663, 120770, 10110, 101557, 108, 62004, 107734, 23954, 109606, 30512, 108623, 105262, 106759, 16144, 112160, 87217, 16144, 113954, 30046, 103306, 55999, 99750, 15024, 101557, 108, 62004, 33541, 1811, 104622, 102800, 95543, 28190, 5486, 115364, 78683, 106240, 126036, 17129, 78183, 111331, 78683, 106240, 30512, 32335, 104622, 61826, 107726, 5486, 105994, 30512, 101890, 254, 17044, 110, 117657, 101427, 122, 70141, 20230, 57903, 33541, 1811, 119436, 117084, 55031, 32977, 5486, 37026, 22023, 16144, 26854, 30813, 120550, 17792, 5486, 110482, 103836, 17792, 104088, 104533, 54322, 76947, 33334, 124324, 110229, 29295, 66378, 17599, 112, 38641, 9174, 14711, 125867, 39880, 57933, 25197, 107487, 10110, 37823, 127764, 96452, 61398, 9458, 101083, 87177, 107734, 23954, 109606, 16144, 101182, 106759, 16144, 31640, 78183, 112586, 106759, 16144, 107734, 111017, 30512, 106529, 16995, 5486, 122013, 16144, 101083, 87177, 30512, 78434, 1811, 106759, 16144, 113160, 49988, 16144, 114948, 31640, 116547, 123410, 118733, 106116, 109606, 117282, 106759, 29295, 112391, 30369, 125231, 74482, 101128, 242, 71289, 108631, 64121, 30512, 117355, 114485, 127145, 1811, 120007, 113115, 54926, 102987, 16995, 114284, 71289, 31431, 107407, 95543, 28190, 5486, 112832, 111201, 107542, 47884, 30813, 100604, 19732, 5486, 115364, 95001, 112603, 29295, 112391, 102204, 100604, 102677, 127749, 20230, 14309, 98, 31431, 29295, 43514, 38641, 9174, 14711, 80050, 102663, 107610, 103621, 84477, 10110, 96356, 31640, 31431, 107734, 23954, 122013, 16144, 112909, 101851, 102, 110027, 5486, 122013, 55031, 5877, 109, 102204, 5486, 64209, 55487, 107001, 16906, 226, 75910, 30046, 1811, 122013, 107809, 16556, 15120, 87217, 16144, 109606, 116581, 121711, 112160, 46729, 107809, 16144, 99959, 39850, 26854, 105494, 30512, 122617, 105068, 109972, 61689, 1811, 108789, 126758, 110115, 109161, 30046, 20230, 84389, 5486, 101890, 254, 17044, 110, 115717, 5486, 113160, 49988, 30512, 109972, 78183, 107001, 112973, 5486, 22398, 102663, 107610, 103621, 84477, 38641, 1811, 122013, 15682, 103031, 125001, 123733, 104984, 122617, 30297, 17129, 115737, 104533, 5486, 70141, 50834, 40862, 30297, 125231, 89151, 16144, 109606, 55031, 122013, 16144, 118146, 95543, 33503, 17663, 118733, 122013, 16144, 66953, 119930, 30512, 33563, 76947, 61689, 9174, 14711, 111002, 71634, 102756, 16073, 10110, 109440, 45829, 117255, 23954, 103572, 38574, 55031, 30591, 109709, 30832, 80195, 28713, 101860, 5486, 105994, 55031, 114640, 30512, 36668, 105714, 56051, 31431, 21105, 103, 117201, 5486, 48706, 99750, 119703, 121894, 126694, 31431, 5486, 105994, 29295, 114218, 59739, 47884, 106592, 103181, 117201, 61689, 1811, 41642, 116310, 126328, 102717, 33334, 76947, 33334, 102532, 32977, 27384, 121313, 106046, 78183, 106824, 61689, 123601, 116537, 54322, 76947, 33334, 32149, 104028, 120266, 101557, 96, 106824, 103801, 16995, 5486, 105368, 76947, 48706, 20230, 95221, 109669, 32149, 103468, 31431, 37689, 109375, 107001, 120266, 107202, 46034, 37689, 109375, 30512, 112391, 30369, 101200, 115717, 33541, 9174, 45829, 67645, 32977, 15682, 5486, 121432, 16937, 37087, 122013, 16556, 101662, 107462, 47884, 117591, 20230, 122013, 30512, 46456, 105262, 113009, 51330, 105933, 107734, 111017, 30512, 109683, 19732, 109311, 76622, 109972, 76947, 103801, 61689, 124845, 118104, 56051, 30591, 19732, 20230, 5486, 41642, 31431, 17792, 107173, 112361, 105933, 116690, 30512, 113638, 102532, 114732, 115789, 127181, 38641, 1811, 27452, 116285, 5486, 126326, 39926, 127032, 29295, 21990, 17129, 103468, 126101, 5486, 45829, 67645, 102944, 110018, 20230, 116216, 115389, 103351, 106759, 16144, 123120, 19732, 112361, 106592, 45829, 67645, 32977, 116446, 114604, 31431, 5486, 101908, 113115, 39926, 103188, 86436, 20230, 106759, 113115, 39926, 69978, 106358, 110018, 19732, 112361, 105933, 125641, 114792, 76947, 114732, 115789, 57903, 33541, 9174, 39880, 99959, 108958, 78459, 123186, 111999, 10110, 1741, 119735, 110745, 17792, 101983, 114598, 105298, 37087, 26854, 114516, 116690, 30512, 101662, 104004, 120266, 111108, 21105, 243, 30512, 112391, 33541, 29295, 5486, 112599, 69978, 59739, 123726, 109669, 33503, 30813, 71289, 114516, 116690, 16144, 101128, 102, 64121, 32977, 5486, 32977, 19732, 30512, 90620, 72342, 81219, 127032, 113146, 16144, 106759, 45829, 116690, 29295, 102404, 79982, 103195, 125396, 29295, 126574, 107173, 78244, 58942, 33541, 9174, 567, 94632, 99959, 108958, 78459, 123186, 111999, 16144, 101545, 44309, 25333, 198, 39880, 99959, 108958, 78459, 123186, 111999, 15682, 45829, 67645, 102944, 119400, 5486, 106759, 16144, 105791, 39135, 30512, 17885, 118, 16995, 106272, 115364, 125641, 30512, 108055, 39926, 123726, 38144, 105898, 105879, 5486, 115364, 117475, 16144, 125641, 20230, 116499, 47000, 47884, 105908, 107202, 46034, 103351, 31431, 5486, 37046, 110020, 30512, 104195, 16995, 124195, 106759, 16144, 114284, 33035, 112586, 123120, 39926, 105898, 113009, 5486, 105994, 29295, 99849, 126198, 16995, 104865, 29295, 78183, 55031, 104435, 31431, 54926, 32149, 110241, 33121, 107515, 1811, 38641, 55031, 5486, 107943, 39880, 99959, 108958, 78459, 123186, 111999, 30512, 101545, 44309, 54926, 102052, 5486, 115364, 45829, 67645, 32977, 113146, 30512, 65854, 114181, 112535, 91774, 59739, 62004, 126738, 17663, 109215, 115991, 33541, 9174, 39880, 99959, 108958, 78459, 123186, 111999, 55031, 18904, 109095, 54926, 106826, 103830 ]
[ 103306, 36896, 39880, 99959, 108958, 78459, 123186, 111999, 10110, 1741, 126067, 7705, 10646, 16144, 21990, 64121, 16144, 106759, 103195, 107059, 65299, 125380, 9458, 110101, 48552, 15682, 5486, 18904, 109095, 16144, 19, 118821, 106826, 103830, 30512, 122984, 127145, 9174, 126843, 106826, 103830, 20713, 77181, 5486, 51385, 64209, 105509, 26854, 75267, 16556, 103188, 86436, 16144, 33014, 111186, 30512, 87177, 15024, 5486, 105994, 107809, 16144, 21388, 100472, 102944, 20230, 95221, 109669, 50834, 5486, 103188, 86436, 16144, 125641, 125523, 54322, 78434, 1811, 33671, 20230, 106826, 103830, 25963, 77181, 106116, 103188, 86436, 16144, 33014, 111186, 29295, 112599, 16144, 105994, 20230, 104405, 117375, 103792, 32149, 30512, 123927, 104196, 31431, 115515, 16144, 105994, 117083, 111681, 104482, 20230, 95221, 109669, 50834, 33541, 9174, 80539, 106826, 103830, 34617, 77181, 5486, 115598, 100472, 125456, 71289, 16937, 109431, 102769, 26854, 33710, 64178, 30512, 46034, 54322, 39926, 5486, 105755, 109431, 102769, 26854, 113727, 24273, 71289, 33710, 64178, 124259, 102181, 50834, 109033, 58942, 100481, 50834, 33541, 1811, 28713, 19732, 116285, 36896, 107707, 105318, 30512, 64889, 76947, 112987, 124324, 66383, 16995, 100472, 113727, 24273, 114792, 106358, 33503, 108048, 30512, 13177, 122571, 71289, 31431, 121771, 100604, 30926, 102052, 9173, 19732, 119852, 104712, 10646, 36896, 102750, 102472, 103906, 52884, 26854, 125641, 30512, 112391, 38144, 112987, 124324, 66383, 91763, 106358, 33503, 13177, 67645, 103171, 125641, 72661, 112391, 100481, 16995, 117503, 104466, 102181, 50834, 109033, 58942, 100481, 50834, 33541, 1811, 114626, 20230, 106826, 103830, 19, 77181, 5486, 102181, 50834, 109033, 107800, 17039, 102800, 113727, 24273, 71289, 33710, 64178, 30512, 115541, 108710, 21105, 103, 29295, 33503, 96356, 20230, 100815, 76622, 100481, 50834, 33541, 9174, 118899, 77181, 115132, 99959, 108958, 78459, 123186, 111999, 30512, 103359, 47523, 20230, 56051, 37026, 103129, 118953, 107610, 32977, 57903, 33541, 15024, 115132, 99959, 108958, 78459, 123186, 111999, 101545, 44309, 22656, 104309, 32977, 121771, 98369, 20834, 127280, 119520, 5486, 122617, 16144, 106826, 103830, 30512, 105994, 121142, 109134, 104468, 111108, 102800, 106046, 61689, 1811, 127298, 71493, 115691, 64810, 122835, 77181, 5486, 76171, 96452, 113335, 68581, 106696, 45923, 64810, 32131, 93298, 5486, 96452, 32131, 103906, 52884, 64810, 32131, 93298, 5486, 104736, 53283, 123120, 109519, 25333, 115132, 60868, 117675, 52884, 102750, 71634, 44971, 118928, 94550, 102083, 100472, 46034, 25333, 30512, 108167, 125639, 115132, 99959, 108958, 78459, 123186, 111999, 30512, 101545, 44309, 54926, 60868, 121057, 29295, 125545, 105879, 5486, 105755, 103856, 47884, 105184, 103350, 20230, 39880, 99959, 108958, 78459, 123186, 111999, 30512, 101545, 44309, 56051, 16995, 24273, 15682, 5486, 114363, 103722, 46729, 20230, 50021, 111813, 107001, 106592, 33334, 53508, 100, 62004, 78434, 9174, 567, 220, 65316, 48154, 20230, 198, 37271, 5486, 112391, 100934, 101128, 102, 64121, 71289, 123726, 109669, 33503, 30813, 15682, 5486, 32977, 67016, 127564, 45829, 67645, 102944, 119400, 16144, 33014, 111186, 19732, 103721, 233, 29295, 103836, 32149, 110241, 33121, 107515, 1811, 39880, 99959, 108958, 78459, 123186, 111999, 123863, 102473, 15682, 103130, 104127, 108086, 106116, 71005, 109519, 41007, 32977, 105184, 80195, 127145, 1811, 110241, 5486, 105994, 15682, 39880, 99959, 108958, 78459, 123186, 111999, 111769, 32149, 11571, 19732, 33334, 113727, 127303, 104984, 5486, 112371, 104328, 71493, 115691, 64810, 122835, 16144, 45923, 39880, 30512, 28713, 28713, 32149, 104028, 106592, 33334, 53508, 100, 62004, 78434, 9174, 41758, 102540, 16073, 91482, 72369, 117675, 108994, 103672, 77181, 5486, 106613, 111186, 119515, 107188, 111482, 71493, 115691, 64810, 109554, 29295, 108149, 112568, 112197, 101128, 102, 64121, 20230, 108385, 31431, 114001, 61689, 1811, 1774, 17620, 16144, 92693, 50021, 111813, 114475, 76622, 47000, 107441, 61689, 105879, 5486, 95221, 108176, 24273, 15682, 112371, 104328, 48154, 50021, 111813, 72315, 1811, 128001, 128000, 567, 20033, 239, 102781, 32938, 16144, 45736, 106036, 95, 33208, 109606, 198, 45736, 106036, 95, 33208, 16144, 109606, 76947, 108285, 47884, 38144, 102987, 16995, 116233, 9174, 30591, 109709, 110745, 112495, 71174, 77181, 16995, 119841, 29295, 5486, 103005, 55228, 231, 112028, 28190, 30512, 15682, 121381, 31431, 16995, 76947, 114732, 19732, 111476, 106222, 123141, 55031, 120175, 22957, 109416, 103468, 17792, 30512, 85188, 35330, 113468, 108057, 111587, 54926, 102944, 198, 36785, 119150, 116233, 9174, 77693, 30512, 47523, 17599, 112, 54926, 112973, 122603, 106036, 95, 101682, 113293, 112919, 103350, 107328, 103195, 9174, 37271, 5486, 113293, 102781, 32938, 15682, 5486, 103005, 55228, 231, 102923, 102332, 120950, 121894, 101983, 103836, 9174, 25333, 102781, 66870, 16144, 127688, 101828, 102181, 7, 114565, 1627, 8107, 41401, 8, 103732, 104533, 122603, 106036, 95, 112919, 88356, 109373, 96455, 15682, 22, 111017, 30512, 72404, 58942, 100934, 198, 20, 17792, 20230, 16, 116537, 17, 8107, 23897, 32943, 20230, 88356, 102802, 113293, 102781, 32938, 102416, 114941, 76947, 109749, 9174, 127688, 16144, 104091, 103283, 109853, 15682, 5486, 91739, 225, 123010, 71289, 50520, 238, 25340, 118, 102083, 100472, 102944, 29295, 43240, 115737, 103836, 9174, 22398, 124603, 16556, 32307, 113801, 126198, 31431, 5486, 47307, 29220, 57207, 115247, 110498, 101918, 83812, 225, 30512, 39442, 124237, 16995, 117657, 102083, 100472, 100909, 38641, 9174, 26854, 112371, 45736, 106036, 95, 30046, 15682, 127688, 30512, 103721, 108, 31431, 104196, 17663, 104865, 95532, 45736, 106036, 95, 30046, 29295, 12870, 114, 109161, 33208, 56051, 114016, 109335, 124897, 9174, 124858, 102052, 5486, 80631, 100, 110482, 71289, 72237, 122013, 33208, 123160, 109606, 29295, 55031, 17129, 76947, 61689, 9174, 118899, 115079, 58942, 100934, 112973, 198, 13177, 23039, 50834, 75267, 119703, 55031, 66383, 95604, 114667, 103195, 9174, 107740, 42506, 108270, 42634, 5486, 52030, 106528, 104599, 40053, 126202, 16144, 103242, 109519, 33563, 110322, 114308, 124226, 102456, 121120, 117856, 31431, 114308, 16144, 103005, 55228, 231, 102923, 102332, 9174, 127637, 72661, 113293, 102781, 32938, 109156, 100472, 100909, 16144, 101182, 45736, 106036, 95, 30046, 15682, 106116, 30926, 103350, 30512, 53283, 76947, 114732, 9174, 32977, 43514, 85791, 25827, 108048, 29295, 102832, 71634, 107118, 91763, 107462, 100604, 9174, 106222, 20230, 102532, 32977, 104654, 118765, 55031, 5486, 106548, 24273, 29295, 103470, 127688, 30512, 109373, 39926, 113293, 102781, 32938, 20230, 114941, 103950, 117408, 9174, 113293, 102781, 32938, 102677, 19732, 5486, 107202, 107734, 20230, 115143, 84389, 5486, 30590, 103198, 226, 120950, 104654, 30512, 104195, 16995, 110071, 32149, 102677, 19732, 5486, 102321, 31640, 77181, 5486, 107943, 109335, 100604, 9174, 102677, 32149, 45736, 106036, 95, 30046, 113115, 39926, 5486, 107202, 107734, 114016, 104195, 107991, 109335, 43568, 22649, 115991, 33541, 9174, 101918, 16995, 17663, 71289, 5486, 14276, 244, 59739, 50834, 16144, 45736, 106036, 95, 30046, 20230, 99849, 30512, 107726, 110071, 126469, 87177, 38641, 9174, 116436, 103429, 104309, 107407, 45736, 106036, 95, 112919, 107803, 109853, 15682, 5486, 113293, 102781, 19967, 101275, 17663, 33503, 117355, 114485, 110731, 121894, 103195, 9174, 104736, 53283, 111571, 16144, 111571, 103397, 29295, 109161, 33208, 103792, 116537, 5486, 32977, 15682, 71289, 113293, 102781, 19967, 101275, 67645, 107404, 111769, 105879, 5486, 111571, 103397, 20230, 109431, 56051, 103048, 21418, 117271, 108176, 9174, 101682, 113293, 112919, 64467, 106839, 67645, 107404, 111769, 126465, 32977, 101182, 9174, 32149, 59739, 38144, 100604, 45736, 106036, 95, 33208, 29295, 5486, 113293, 102781, 32938, 20230, 21990, 100204, 100934, 106592, 112073, 15682, 53283, 110104, 9174, 113293, 102781, 32938, 16144, 109519, 102923, 102332, 77181, 5486, 103429, 95221, 20230, 55487, 101557, 106, 56051, 114485, 59657, 102, 102456, 115287, 31431, 5486, 50834, 75694, 64121, 16144, 102456, 30926, 29295, 104908, 110731, 9174, 101682, 113293, 30046, 109860, 102083, 76947, 103429, 95221, 20230, 55487, 101557, 106, 72342, 101860, 5486, 122617, 112361, 102456, 30926, 7, 47884, 65316, 114053, 8, 30512, 19732, 30369, 114016, 104468, 5486, 111926, 115173, 68759, 16144, 87177, 103195, 9174, 110382, 20230, 107991, 107430, 102351, 15682, 5486, 113293, 102781, 102078, 103195, 9174, 113293, 102781, 102078, 15682, 103329, 52030, 106528, 104599, 16144, 103087, 35083, 30512, 19732, 76947, 108086, 5486, 107430, 102351, 15682, 37087, 102351, 35417, 102781, 102351, 103195, 9174, 114363, 103722, 109904, 103242, 109519, 29295, 109215, 26854, 126513, 5486, 48915, 34048, 16144, 103242, 109519, 101513, 97518, 120650, 47884, 115789, 101182, 9174, 101682, 113293, 30046, 109860, 102083, 76947, 5486, 51609, 114556, 78183, 30369, 71005, 109519, 29295, 101682, 76622, 102204, 100604, 114016, 109335, 103470, 5486, 33563, 117126, 126543, 48915, 16144, 103242, 109519, 103306, 104908, 107001, 9174, 96356, 108385, 31431, 119703, 115397, 17792, 16556, 104654, 118765, 1811, 122013, 55031, 91774, 54322, 110731, 1811, 104405, 127564, 123726, 100481, 105784, 124233, 124403, 16449, 16449, 16449, 198, 107943, 39177, 15682, 5486, 32307, 113801, 104309, 5486, 17792, 30512, 114218, 59739, 124324, 113314, 16144, 127688, 30512, 109373, 17663, 118733, 5486, 113293, 102781, 32938, 109156, 32938, 108608, 101200, 117084, 103801, 103836, 9174, 22656, 37507, 16144, 113293, 102781, 32938, 16144, 107734, 111017, 103306, 15682, 5486, 80805, 112694, 78349, 110548, 20230, 56965, 108010, 103836, 16144, 103195, 29295, 5486, 103350, 107328, 103306, 15682, 5486, 114626, 16144, 101682, 76622, 9444, 123, 103306, 16144, 107734, 111017, 30512, 28873, 28713, 103792, 9174, 105060, 102456, 101987, 102677, 115552, 121960, 111476, 12, 20033, 239, 102781, 32938, 15682, 104654, 20230, 110482, 110104, 198, 12, 20033, 239, 102781, 32938, 16144, 106382, 11883, 15682, 5486, 109972, 106529, 35330, 110214, 198, 12, 124908, 109519, 15682, 33563, 110322, 110731, 198, 85701, 33503, 15682, 5486, 85188, 113468, 83812, 226, 78183, 106824, 61689, 9174, 77181, 5486, 113293, 102781, 32938, 15682, 105465, 104674, 32149, 102677, 19732, 5486, 104662, 39926, 102131, 107118, 16995, 119841, 9174, 27452, 116285, 111476, 12, 102362, 112607, 112028, 34048, 29295, 44416, 48249, 107001, 105908, 101182, 105879, 5486, 48915, 34048, 16144, 103242, 109519, 101513, 97518, 20230, 127651, 37705, 107001, 104983, 104309, 15682, 5486, 46034, 91779, 254, 30512, 107001, 105908, 101182, 9174, 12, 20033, 239, 102781, 102078, 16144, 101682, 113293, 30046, 113115, 54926, 71174, 126929, 15682, 5486, 64467, 106839, 103195, 105879, 5486, 118279, 40526, 104873, 108176, 9174, 12, 105790, 126194, 122532, 16556, 127173, 104028, 9174, 12, 220, 28713, 81219, 22957, 71289, 103882, 123160, 106347, 250, 53901, 25446, 15682, 53901, 25446, 15682, 44416, 48249, 107001, 9174, 101682, 113293, 30046, 103195, 71689, 5486, 17905, 61304, 16144, 28542, 15682, 37046, 110020, 21105, 103, 47884, 38144, 15682, 105110, 100604, 9174, 72661, 5486, 116900, 20230, 78244, 116285, 115847, 33503, 30813, 58942, 37046, 110020, 39926, 103801, 116285, 5486, 32977, 106624, 15682, 95221, 101983, 33503, 123733, 104984, 108149, 107118, 104654, 29295, 51385, 23187, 78434, 9174, 32977, 43514, 85791, 25827, 5486, 64209, 16144, 51385, 23187, 15682, 110924, 102052, 100604, 1811, 66378, 20230, 108789, 30512, 104736, 109375, 108608, 116537, 126738, 115143, 38641, 9174, 113293, 102781, 32938, 127331, 33503, 21105, 103, 25827, 38144, 112832, 120885, 103192, 17129, 100604, 38641, 55031, 101832, 9174, 118104, 74482, 23538, 122692, 127298, 106222, 9554, 109688, 101513, 16144, 121894, 117083, 112973, 110219, 38641, 9174, 37271, 5486, 75910, 106528, 78943, 100845, 105, 29295, 114485, 109518, 84389, 5486, 75910, 106528, 107430, 16144, 83812, 225, 35330, 29295, 115442, 121140, 5486, 75910, 106528, 17792, 103234, 16144, 89753, 20834, 29295, 82533, 109709, 17129, 112371, 25827, 9174, 92877, 17792, 102923, 102332, 29295, 102780, 121140, 5486, 75910, 106528, 106627, 107430, 29295, 115079, 58942, 5486, 103242, 109519, 106382, 15682, 104735, 101, 33503, 64121, 106307, 107441, 61689, 9174, 103911, 70203, 30512, 104405, 126693, 104712, 104865, 64803, 107202, 102397, 107202, 103792, 118124, 16556, 5486, 114626, 16144, 101682, 76622, 9444, 123, 103306, 16144, 113293, 30926, 102923, 102332, 107407, 9174, 80172, 17701, 110731, 85188, 35330, 16144, 109518, 15682, 43240, 109518, 38641, 9174, 27452, 116285, 5486, 113293, 102781, 102078, 15682, 37087, 102351, 35417, 102781, 102351, 16556, 5486, 96356, 17620, 29295, 33563, 110322, 116216, 61689, 9174, 39177, 110698, 1041, 15, 35757, 16144, 66953, 78983, 107430, 102351, 105321, 126386, 9174, 17792, 14558, 106382, 103378, 72661, 27384, 104721, 26854, 109518, 38641, 9174, 113293, 102781, 102078, 15682, 5486, 103329, 52030, 106528, 104599, 16144, 103087, 35083, 30512, 35417, 106382, 16556, 115181, 78434, 1811, 75910, 106528, 9554, 121101, 32977, 23039, 61689, 9174, 110382, 77181, 5486, 75910, 106528, 107430, 16144, 103167, 83812, 225, 35330, 109606, 15682, 48706, 21105, 103, 16995, 1811, 103242, 109519, 23039, 101399, 16144, 108608, 5486, 101182, 115552, 32335, 104195, 16144, 75910, 106528, 101559, 29295, 21441, 225, 107462, 104533, 32977, 16995, 105262, 9174, 70821, 56965, 16144, 75910, 106528, 102923, 102332, 29295, 42016, 103826, 16144, 77195, 115287, 105110, 5486, 75910, 106528, 17792, 103234, 16144, 127242, 15682, 103470, 109020, 108995, 9174, 107430, 75267, 16556, 107253, 52030, 16144, 103087, 35083, 30512, 18655, 117063, 111243, 33503, 105262, 102677, 123017, 103350, 15682, 55723, 23538, 109904, 111090, 68408, 39880, 103195, 29295, 5486, 70821, 56965, 77181, 57903, 119841, 9174, 32977, 43514, 85791, 25827, 102321, 75267, 16144, 113293, 102781, 102078, 16144, 107430, 102781, 15682, 102040, 65575, 16556, 5486, 103558, 97, 111338, 26854, 127348, 16556, 71289, 103836, 113334, 111769, 9174, 17701, 32938, 102923, 102332, 26854, 105879, 114731, 102781, 32977, 16937, 106045, 108630, 103195, 1811, 105465, 26854, 117876, 16556, 100604, 104468, 112672, 103195, 9174, 101682, 113293, 30046, 29295, 43240, 47884, 38144, 5486, 110226, 37729, 118347, 61398, 29295, 102780, 31431, 100604, 102677, 109606, 32977, 101182, 9174, 104873, 103854, 104984, 104873, 103854, 30369, 108680, 5486, 113293, 102781, 32938, 16144, 103005, 55228, 231, 9554, 118522, 34171, 15682, 5486, 70821, 56965, 77181, 57903, 119841, 108680, 126574, 9174, 108031, 115303, 59739, 5486, 113293, 102781, 32938, 16144, 22398, 124603, 103005, 55228, 231, 102923, 102332, 104369, 31431, 30512, 20379, 17663, 15120, 27452, 30512, 20379, 102131, 9174, 106222, 109095, 112454, 32977, 118765, 5486, 96356, 108385, 31431 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103306, 36896, 39880, 99959, 108958, 78459, 123186, 111999, 10110, 1741, 126067, 7705, 10646, 16144, 21990, 64121, 16144, 106759, 103195, 107059, 65299, 125380, 9458, 110101, 48552, 15682, 5486, 18904, 109095, 16144, 19, 118821, 106826, 103830, 30512, 122984, 127145, 9174, 126843, 106826, 103830, 20713, 77181, 5486, 51385, 64209, 105509, 26854, 75267, 16556, 103188, 86436, 16144, 33014, 111186, 30512, 87177, 15024, 5486, 105994, 107809, 16144, 21388, 100472, 102944, 20230, 95221, 109669, 50834, 5486, 103188, 86436, 16144, 125641, 125523, 54322, 78434, 1811, 33671, 20230, 106826, 103830, 25963, 77181, 106116, 103188, 86436, 16144, 33014, 111186, 29295, 112599, 16144, 105994, 20230, 104405, 117375, 103792, 32149, 30512, 123927, 104196, 31431, 115515, 16144, 105994, 117083, 111681, 104482, 20230, 95221, 109669, 50834, 33541, 9174, 80539, 106826, 103830, 34617, 77181, 5486, 115598, 100472, 125456, 71289, 16937, 109431, 102769, 26854, 33710, 64178, 30512, 46034, 54322, 39926, 5486, 105755, 109431, 102769, 26854, 113727, 24273, 71289, 33710, 64178, 124259, 102181, 50834, 109033, 58942, 100481, 50834, 33541, 1811, 28713, 19732, 116285, 36896, 107707, 105318, 30512, 64889, 76947, 112987, 124324, 66383, 16995, 100472, 113727, 24273, 114792, 106358, 33503, 108048, 30512, 13177, 122571, 71289, 31431, 121771, 100604, 30926, 102052, 9173, 19732, 119852, 104712, 10646, 36896, 102750, 102472, 103906, 52884, 26854, 125641, 30512, 112391, 38144, 112987, 124324, 66383, 91763, 106358, 33503, 13177, 67645, 103171, 125641, 72661, 112391, 100481, 16995, 117503, 104466, 102181, 50834, 109033, 58942, 100481, 50834, 33541, 1811, 114626, 20230, 106826, 103830, 19, 77181, 5486, 102181, 50834, 109033, 107800, 17039, 102800, 113727, 24273, 71289, 33710, 64178, 30512, 115541, 108710, 21105, 103, 29295, 33503, 96356, 20230, 100815, 76622, 100481, 50834, 33541, 9174, 118899, 77181, 115132, 99959, 108958, 78459, 123186, 111999, 30512, 103359, 47523, 20230, 56051, 37026, 103129, 118953, 107610, 32977, 57903, 33541, 15024, 115132, 99959, 108958, 78459, 123186, 111999, 101545, 44309, 22656, 104309, 32977, 121771, 98369, 20834, 127280, 119520, 5486, 122617, 16144, 106826, 103830, 30512, 105994, 121142, 109134, 104468, 111108, 102800, 106046, 61689, 1811, 127298, 71493, 115691, 64810, 122835, 77181, 5486, 76171, 96452, 113335, 68581, 106696, 45923, 64810, 32131, 93298, 5486, 96452, 32131, 103906, 52884, 64810, 32131, 93298, 5486, 104736, 53283, 123120, 109519, 25333, 115132, 60868, 117675, 52884, 102750, 71634, 44971, 118928, 94550, 102083, 100472, 46034, 25333, 30512, 108167, 125639, 115132, 99959, 108958, 78459, 123186, 111999, 30512, 101545, 44309, 54926, 60868, 121057, 29295, 125545, 105879, 5486, 105755, 103856, 47884, 105184, 103350, 20230, 39880, 99959, 108958, 78459, 123186, 111999, 30512, 101545, 44309, 56051, 16995, 24273, 15682, 5486, 114363, 103722, 46729, 20230, 50021, 111813, 107001, 106592, 33334, 53508, 100, 62004, 78434, 9174, 567, 220, 65316, 48154, 20230, 198, 37271, 5486, 112391, 100934, 101128, 102, 64121, 71289, 123726, 109669, 33503, 30813, 15682, 5486, 32977, 67016, 127564, 45829, 67645, 102944, 119400, 16144, 33014, 111186, 19732, 103721, 233, 29295, 103836, 32149, 110241, 33121, 107515, 1811, 39880, 99959, 108958, 78459, 123186, 111999, 123863, 102473, 15682, 103130, 104127, 108086, 106116, 71005, 109519, 41007, 32977, 105184, 80195, 127145, 1811, 110241, 5486, 105994, 15682, 39880, 99959, 108958, 78459, 123186, 111999, 111769, 32149, 11571, 19732, 33334, 113727, 127303, 104984, 5486, 112371, 104328, 71493, 115691, 64810, 122835, 16144, 45923, 39880, 30512, 28713, 28713, 32149, 104028, 106592, 33334, 53508, 100, 62004, 78434, 9174, 41758, 102540, 16073, 91482, 72369, 117675, 108994, 103672, 77181, 5486, 106613, 111186, 119515, 107188, 111482, 71493, 115691, 64810, 109554, 29295, 108149, 112568, 112197, 101128, 102, 64121, 20230, 108385, 31431, 114001, 61689, 1811, 1774, 17620, 16144, 92693, 50021, 111813, 114475, 76622, 47000, 107441, 61689, 105879, 5486, 95221, 108176, 24273, 15682, 112371, 104328, 48154, 50021, 111813, 72315, 1811, 128001, 128000, 567, 20033, 239, 102781, 32938, 16144, 45736, 106036, 95, 33208, 109606, 198, 45736, 106036, 95, 33208, 16144, 109606, 76947, 108285, 47884, 38144, 102987, 16995, 116233, 9174, 30591, 109709, 110745, 112495, 71174, 77181, 16995, 119841, 29295, 5486, 103005, 55228, 231, 112028, 28190, 30512, 15682, 121381, 31431, 16995, 76947, 114732, 19732, 111476, 106222, 123141, 55031, 120175, 22957, 109416, 103468, 17792, 30512, 85188, 35330, 113468, 108057, 111587, 54926, 102944, 198, 36785, 119150, 116233, 9174, 77693, 30512, 47523, 17599, 112, 54926, 112973, 122603, 106036, 95, 101682, 113293, 112919, 103350, 107328, 103195, 9174, 37271, 5486, 113293, 102781, 32938, 15682, 5486, 103005, 55228, 231, 102923, 102332, 120950, 121894, 101983, 103836, 9174, 25333, 102781, 66870, 16144, 127688, 101828, 102181, 7, 114565, 1627, 8107, 41401, 8, 103732, 104533, 122603, 106036, 95, 112919, 88356, 109373, 96455, 15682, 22, 111017, 30512, 72404, 58942, 100934, 198, 20, 17792, 20230, 16, 116537, 17, 8107, 23897, 32943, 20230, 88356, 102802, 113293, 102781, 32938, 102416, 114941, 76947, 109749, 9174, 127688, 16144, 104091, 103283, 109853, 15682, 5486, 91739, 225, 123010, 71289, 50520, 238, 25340, 118, 102083, 100472, 102944, 29295, 43240, 115737, 103836, 9174, 22398, 124603, 16556, 32307, 113801, 126198, 31431, 5486, 47307, 29220, 57207, 115247, 110498, 101918, 83812, 225, 30512, 39442, 124237, 16995, 117657, 102083, 100472, 100909, 38641, 9174, 26854, 112371, 45736, 106036, 95, 30046, 15682, 127688, 30512, 103721, 108, 31431, 104196, 17663, 104865, 95532, 45736, 106036, 95, 30046, 29295, 12870, 114, 109161, 33208, 56051, 114016, 109335, 124897, 9174, 124858, 102052, 5486, 80631, 100, 110482, 71289, 72237, 122013, 33208, 123160, 109606, 29295, 55031, 17129, 76947, 61689, 9174, 118899, 115079, 58942, 100934, 112973, 198, 13177, 23039, 50834, 75267, 119703, 55031, 66383, 95604, 114667, 103195, 9174, 107740, 42506, 108270, 42634, 5486, 52030, 106528, 104599, 40053, 126202, 16144, 103242, 109519, 33563, 110322, 114308, 124226, 102456, 121120, 117856, 31431, 114308, 16144, 103005, 55228, 231, 102923, 102332, 9174, 127637, 72661, 113293, 102781, 32938, 109156, 100472, 100909, 16144, 101182, 45736, 106036, 95, 30046, 15682, 106116, 30926, 103350, 30512, 53283, 76947, 114732, 9174, 32977, 43514, 85791, 25827, 108048, 29295, 102832, 71634, 107118, 91763, 107462, 100604, 9174, 106222, 20230, 102532, 32977, 104654, 118765, 55031, 5486, 106548, 24273, 29295, 103470, 127688, 30512, 109373, 39926, 113293, 102781, 32938, 20230, 114941, 103950, 117408, 9174, 113293, 102781, 32938, 102677, 19732, 5486, 107202, 107734, 20230, 115143, 84389, 5486, 30590, 103198, 226, 120950, 104654, 30512, 104195, 16995, 110071, 32149, 102677, 19732, 5486, 102321, 31640, 77181, 5486, 107943, 109335, 100604, 9174, 102677, 32149, 45736, 106036, 95, 30046, 113115, 39926, 5486, 107202, 107734, 114016, 104195, 107991, 109335, 43568, 22649, 115991, 33541, 9174, 101918, 16995, 17663, 71289, 5486, 14276, 244, 59739, 50834, 16144, 45736, 106036, 95, 30046, 20230, 99849, 30512, 107726, 110071, 126469, 87177, 38641, 9174, 116436, 103429, 104309, 107407, 45736, 106036, 95, 112919, 107803, 109853, 15682, 5486, 113293, 102781, 19967, 101275, 17663, 33503, 117355, 114485, 110731, 121894, 103195, 9174, 104736, 53283, 111571, 16144, 111571, 103397, 29295, 109161, 33208, 103792, 116537, 5486, 32977, 15682, 71289, 113293, 102781, 19967, 101275, 67645, 107404, 111769, 105879, 5486, 111571, 103397, 20230, 109431, 56051, 103048, 21418, 117271, 108176, 9174, 101682, 113293, 112919, 64467, 106839, 67645, 107404, 111769, 126465, 32977, 101182, 9174, 32149, 59739, 38144, 100604, 45736, 106036, 95, 33208, 29295, 5486, 113293, 102781, 32938, 20230, 21990, 100204, 100934, 106592, 112073, 15682, 53283, 110104, 9174, 113293, 102781, 32938, 16144, 109519, 102923, 102332, 77181, 5486, 103429, 95221, 20230, 55487, 101557, 106, 56051, 114485, 59657, 102, 102456, 115287, 31431, 5486, 50834, 75694, 64121, 16144, 102456, 30926, 29295, 104908, 110731, 9174, 101682, 113293, 30046, 109860, 102083, 76947, 103429, 95221, 20230, 55487, 101557, 106, 72342, 101860, 5486, 122617, 112361, 102456, 30926, 7, 47884, 65316, 114053, 8, 30512, 19732, 30369, 114016, 104468, 5486, 111926, 115173, 68759, 16144, 87177, 103195, 9174, 110382, 20230, 107991, 107430, 102351, 15682, 5486, 113293, 102781, 102078, 103195, 9174, 113293, 102781, 102078, 15682, 103329, 52030, 106528, 104599, 16144, 103087, 35083, 30512, 19732, 76947, 108086, 5486, 107430, 102351, 15682, 37087, 102351, 35417, 102781, 102351, 103195, 9174, 114363, 103722, 109904, 103242, 109519, 29295, 109215, 26854, 126513, 5486, 48915, 34048, 16144, 103242, 109519, 101513, 97518, 120650, 47884, 115789, 101182, 9174, 101682, 113293, 30046, 109860, 102083, 76947, 5486, 51609, 114556, 78183, 30369, 71005, 109519, 29295, 101682, 76622, 102204, 100604, 114016, 109335, 103470, 5486, 33563, 117126, 126543, 48915, 16144, 103242, 109519, 103306, 104908, 107001, 9174, 96356, 108385, 31431, 119703, 115397, 17792, 16556, 104654, 118765, 1811, 122013, 55031, 91774, 54322, 110731, 1811, 104405, 127564, 123726, 100481, 105784, 124233, 124403, 16449, 16449, 16449, 198, 107943, 39177, 15682, 5486, 32307, 113801, 104309, 5486, 17792, 30512, 114218, 59739, 124324, 113314, 16144, 127688, 30512, 109373, 17663, 118733, 5486, 113293, 102781, 32938, 109156, 32938, 108608, 101200, 117084, 103801, 103836, 9174, 22656, 37507, 16144, 113293, 102781, 32938, 16144, 107734, 111017, 103306, 15682, 5486, 80805, 112694, 78349, 110548, 20230, 56965, 108010, 103836, 16144, 103195, 29295, 5486, 103350, 107328, 103306, 15682, 5486, 114626, 16144, 101682, 76622, 9444, 123, 103306, 16144, 107734, 111017, 30512, 28873, 28713, 103792, 9174, 105060, 102456, 101987, 102677, 115552, 121960, 111476, 12, 20033, 239, 102781, 32938, 15682, 104654, 20230, 110482, 110104, 198, 12, 20033, 239, 102781, 32938, 16144, 106382, 11883, 15682, 5486, 109972, 106529, 35330, 110214, 198, 12, 124908, 109519, 15682, 33563, 110322, 110731, 198, 85701, 33503, 15682, 5486, 85188, 113468, 83812, 226, 78183, 106824, 61689, 9174, 77181, 5486, 113293, 102781, 32938, 15682, 105465, 104674, 32149, 102677, 19732, 5486, 104662, 39926, 102131, 107118, 16995, 119841, 9174, 27452, 116285, 111476, 12, 102362, 112607, 112028, 34048, 29295, 44416, 48249, 107001, 105908, 101182, 105879, 5486, 48915, 34048, 16144, 103242, 109519, 101513, 97518, 20230, 127651, 37705, 107001, 104983, 104309, 15682, 5486, 46034, 91779, 254, 30512, 107001, 105908, 101182, 9174, 12, 20033, 239, 102781, 102078, 16144, 101682, 113293, 30046, 113115, 54926, 71174, 126929, 15682, 5486, 64467, 106839, 103195, 105879, 5486, 118279, 40526, 104873, 108176, 9174, 12, 105790, 126194, 122532, 16556, 127173, 104028, 9174, 12, 220, 28713, 81219, 22957, 71289, 103882, 123160, 106347, 250, 53901, 25446, 15682, 53901, 25446, 15682, 44416, 48249, 107001, 9174, 101682, 113293, 30046, 103195, 71689, 5486, 17905, 61304, 16144, 28542, 15682, 37046, 110020, 21105, 103, 47884, 38144, 15682, 105110, 100604, 9174, 72661, 5486, 116900, 20230, 78244, 116285, 115847, 33503, 30813, 58942, 37046, 110020, 39926, 103801, 116285, 5486, 32977, 106624, 15682, 95221, 101983, 33503, 123733, 104984, 108149, 107118, 104654, 29295, 51385, 23187, 78434, 9174, 32977, 43514, 85791, 25827, 5486, 64209, 16144, 51385, 23187, 15682, 110924, 102052, 100604, 1811, 66378, 20230, 108789, 30512, 104736, 109375, 108608, 116537, 126738, 115143, 38641, 9174, 113293, 102781, 32938, 127331, 33503, 21105, 103, 25827, 38144, 112832, 120885, 103192, 17129, 100604, 38641, 55031, 101832, 9174, 118104, 74482, 23538, 122692, 127298, 106222, 9554, 109688, 101513, 16144, 121894, 117083, 112973, 110219, 38641, 9174, 37271, 5486, 75910, 106528, 78943, 100845, 105, 29295, 114485, 109518, 84389, 5486, 75910, 106528, 107430, 16144, 83812, 225, 35330, 29295, 115442, 121140, 5486, 75910, 106528, 17792, 103234, 16144, 89753, 20834, 29295, 82533, 109709, 17129, 112371, 25827, 9174, 92877, 17792, 102923, 102332, 29295, 102780, 121140, 5486, 75910, 106528, 106627, 107430, 29295, 115079, 58942, 5486, 103242, 109519, 106382, 15682, 104735, 101, 33503, 64121, 106307, 107441, 61689, 9174, 103911, 70203, 30512, 104405, 126693, 104712, 104865, 64803, 107202, 102397, 107202, 103792, 118124, 16556, 5486, 114626, 16144, 101682, 76622, 9444, 123, 103306, 16144, 113293, 30926, 102923, 102332, 107407, 9174, 80172, 17701, 110731, 85188, 35330, 16144, 109518, 15682, 43240, 109518, 38641, 9174, 27452, 116285, 5486, 113293, 102781, 102078, 15682, 37087, 102351, 35417, 102781, 102351, 16556, 5486, 96356, 17620, 29295, 33563, 110322, 116216, 61689, 9174, 39177, 110698, 1041, 15, 35757, 16144, 66953, 78983, 107430, 102351, 105321, 126386, 9174, 17792, 14558, 106382, 103378, 72661, 27384, 104721, 26854, 109518, 38641, 9174, 113293, 102781, 102078, 15682, 5486, 103329, 52030, 106528, 104599, 16144, 103087, 35083, 30512, 35417, 106382, 16556, 115181, 78434, 1811, 75910, 106528, 9554, 121101, 32977, 23039, 61689, 9174, 110382, 77181, 5486, 75910, 106528, 107430, 16144, 103167, 83812, 225, 35330, 109606, 15682, 48706, 21105, 103, 16995, 1811, 103242, 109519, 23039, 101399, 16144, 108608, 5486, 101182, 115552, 32335, 104195, 16144, 75910, 106528, 101559, 29295, 21441, 225, 107462, 104533, 32977, 16995, 105262, 9174, 70821, 56965, 16144, 75910, 106528, 102923, 102332, 29295, 42016, 103826, 16144, 77195, 115287, 105110, 5486, 75910, 106528, 17792, 103234, 16144, 127242, 15682, 103470, 109020, 108995, 9174, 107430, 75267, 16556, 107253, 52030, 16144, 103087, 35083, 30512, 18655, 117063, 111243, 33503, 105262, 102677, 123017, 103350, 15682, 55723, 23538, 109904, 111090, 68408, 39880, 103195, 29295, 5486, 70821, 56965, 77181, 57903, 119841, 9174, 32977, 43514, 85791, 25827, 102321, 75267, 16144, 113293, 102781, 102078, 16144, 107430, 102781, 15682, 102040, 65575, 16556, 5486, 103558, 97, 111338, 26854, 127348, 16556, 71289, 103836, 113334, 111769, 9174, 17701, 32938, 102923, 102332, 26854, 105879, 114731, 102781, 32977, 16937, 106045, 108630, 103195, 1811, 105465, 26854, 117876, 16556, 100604, 104468, 112672, 103195, 9174, 101682, 113293, 30046, 29295, 43240, 47884, 38144, 5486, 110226, 37729, 118347, 61398, 29295, 102780, 31431, 100604, 102677, 109606, 32977, 101182, 9174, 104873, 103854, 104984, 104873, 103854, 30369, 108680, 5486, 113293, 102781, 32938, 16144, 103005, 55228, 231, 9554, 118522, 34171, 15682, 5486, 70821, 56965, 77181, 57903, 119841, 108680, 126574, 9174, 108031, 115303, 59739, 5486, 113293, 102781, 32938, 16144, 22398, 124603, 103005, 55228, 231, 102923, 102332, 104369, 31431, 30512, 20379, 17663, 15120, 27452, 30512, 20379, 102131, 9174, 106222, 109095, 112454, 32977, 118765, 5486, 96356, 108385, 31431 ]
[ 126758, 5486, 122013, 55031, 91774, 54322, 110731, 101682, 113293, 30046, 15682, 5486, 124042, 112535, 109988, 115737, 31431, 33541, 9174, 112990, 104405, 109020, 32149, 95532, 105321, 19732, 5486, 113293, 102781, 32938, 107809, 102052, 108948, 124652, 32977, 57903, 33541, 118844, 102052, 121602, 50834, 79721, 9174, 115514, 110135, 16144, 113801, 108167, 46034, 125001, 100604, 126513, 5486, 113293, 102781, 32938, 107809, 117083, 33334, 124652, 20230, 123653, 101161, 105, 103646, 31431, 78434, 9174, 33334, 124652, 37026, 33014, 15682, 5486, 59657, 222, 16144, 48915, 117083, 102677, 55487, 101557, 106, 32977, 57903, 33541, 9174, 109988, 115737, 114598, 126738, 5486, 59657, 222, 107809, 20230, 107991, 102677, 16144, 77181, 13153, 6271, 237, 118765, 102677, 55487, 101557, 106, 55031, 38641, 9174, 126920, 85701, 16556, 5486, 126521, 105879, 109954, 32149, 11571, 128001, 128000, 101083, 107809, 102052, 121771, 115867, 103087, 35083, 115991, 33541, 101832, 109807, 16325, 72661, 107063, 100, 33121, 107407, 112973, 58666, 37729, 104599, 38641, 123794, 9174, 107943, 122615, 16144, 105811, 30512, 58666, 106624, 50834, 33121, 16995, 116446, 124089, 58666, 37729, 104599, 119627, 111476, 21105, 96, 107277, 103087, 35083, 114792, 100472, 17792, 111769, 19732, 58666, 37729, 102452, 16556, 122502, 124324, 16144, 30512, 48154, 25359, 53283, 123253, 32149, 9174, 80539, 123259, 114172, 102181, 102052, 117727, 31091, 16556, 61304, 17701, 54926, 109215, 115991, 33541, 9174, 51330, 77219, 77181, 58666, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 71289, 58426, 114172, 102512, 109853, 48154, 126362, 102334, 78434, 9174, 567, 105913, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 15682, 95532, 58666, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 15682, 58426, 110674, 13177, 198, 58666, 37729, 104599, 103048, 110008, 10646, 38641, 9174, 58666, 37729, 104599, 103048, 110008, 107118, 53900, 103283, 20230, 22649, 37729, 104599, 103048, 110008, 32977, 57903, 33541, 9174, 25963, 118821, 121953, 15682, 5486, 33671, 16144, 121640, 112424, 16556, 23187, 62004, 124195, 61689, 9174, 12, 112296, 37729, 104599, 25333, 16556, 13177, 103892, 122615, 16144, 6701, 230, 104526, 5486, 105791, 21403, 225, 31431, 50667, 16144, 41007, 16556, 37729, 110783, 30512, 64531, 105262, 100909, 1811, 111329, 12, 105913, 37729, 104599, 25333, 16556, 13177, 80805, 108941, 73590, 111234, 109229, 5486, 102971, 122615, 5486, 33208, 90397, 100, 123160, 41007, 112212, 5486, 37729, 110783, 30512, 58666, 106624, 54926, 100909, 1811, 111329, 31958, 105184, 26854, 121953, 103306, 15682, 5486, 100499, 255, 21403, 225, 31431, 71289, 105791, 21403, 225, 31431, 29295, 108608, 112973, 22649, 37729, 104599, 104856, 76947, 61689, 9174, 51330, 106081, 111186, 15682, 106444, 106081, 111186, 38641, 105879, 111476, 115181, 54926, 100909, 113468, 29504, 55031, 104736, 62004, 125398, 102677, 110322, 121711, 33541, 9174, 567, 105913, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 198, 123259, 114172, 102181, 20230, 104405, 102181, 102334, 33503, 104712, 32149, 101128, 102, 104004, 24273, 32977, 16995, 33503, 42891, 116826, 104533, 91763, 61689, 29295, 106116, 110674, 13177, 198, 58666, 37729, 104599, 103048, 110008, 121619, 50928, 66383, 61304, 17701, 103801, 109954, 9174, 58426, 104983, 102052, 115181, 8107, 9953, 32977, 112727, 100604, 104466, 103801, 109954, 9174, 115181, 8107, 9953, 103296, 17701, 106824, 117727, 31091, 16556, 102181, 126145, 13177, 198, 41832, 107, 8107, 41832, 107, 9953, 105913, 37729, 104599, 103048, 110008, 121619, 50928, 10646, 125651, 106609, 567, 105913, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 16144, 114172, 102512, 198, 58666, 37729, 104599, 103306, 16144, 103087, 35083, 15682, 109349, 234, 114035, 113146, 16144, 122615, 102971, 16995, 55031, 27704, 17129, 76947, 61689, 9174, 100499, 115, 30512, 102971, 30297, 105908, 43240, 102518, 51330, 113146, 119627, 111476, 31958, 71005, 113146, 101983, 104533, 5486, 122615, 16144, 105811, 30512, 111764, 116446, 32977, 126521, 102677, 40089, 103507, 29295, 16556, 79721, 9174, 110924, 126328, 125559, 55031, 108167, 125639, 102204, 5486, 112599, 103296, 103826, 104680, 26854, 108768, 39880, 105335, 106696, 29295, 106084, 115442, 31431, 79721, 9174, 112599, 16144, 198, 58666, 37729, 104599, 29295, 105184, 80195, 103646, 104468, 20713, 68093, 44597, 66224, 116033, 22649, 37729, 104599, 25333, 55031, 58666, 37729, 104599, 25333, 29295, 118326, 39926, 55031, 38641, 9174, 61826, 43032, 56051, 121640, 5486, 108768, 39880, 109753, 71289, 80805, 108941, 5486, 39850, 125596, 104309, 91774, 28713, 118146, 58666, 106624, 54926, 120266, 66378, 33208, 56051, 107430, 104091, 121711, 79721, 9174, 567, 105913, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 30512, 104662, 109013, 104468, 36785, 33121, 95532, 58666, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 16144, 44416, 23187, 119627, 5486, 117896, 15682, 198, 58666, 37729, 104599, 25333, 30512, 23187, 62004, 100934, 125525, 122074, 111848, 102944, 38641, 9174, 106444, 103087, 35083, 16144, 58666, 37729, 104599, 103048, 110008, 119627, 124563, 112371, 106444, 103087, 35083, 26854, 104865, 102677, 19732, 111476, 6701, 225, 53953, 30512, 121247, 30297, 101399, 5486, 80539, 108581, 21990, 17905, 16144, 109606, 38641, 9174, 33334, 65854, 103826, 16144, 122615, 71289, 105871, 104735, 248, 20230, 109835, 104028, 108581, 21990, 28190, 5486, 102040, 60868, 101198, 71289, 71493, 109554, 21403, 97, 50667, 16144, 117434, 25446, 30512, 38129, 54926, 121247, 16995, 104309, 29295, 112424, 16556, 23187, 62004, 124195, 61689, 9174, 58666, 37729, 104599, 103048, 110008, 30512, 19361, 109768, 100604, 114754, 102923, 103991, 123410, 115789, 124260, 116216, 61689, 9174, 567, 105913, 37729, 104599, 16144, 117727, 31091, 123011, 62004, 198, 58666, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 15682, 13177, 198, 123259, 114172, 102181, 20230, 102181, 47884, 104983, 15682, 13177, 198, 41832, 107, 8107, 41832, 107, 9953, 105913, 37729, 104599, 103048, 110008, 121619, 50928, 66383, 61304, 17701, 103801, 109954, 9174, 117727, 31091, 30512, 23187, 62004, 100934, 104468, 58666, 37729, 104599, 25333, 30512, 23187, 62004, 100934, 29504, 104856, 76947, 61689, 9174, 58666, 37729, 104599, 103048, 110008, 15682, 21105, 96, 107277, 19732, 112424, 80539, 29504, 20230, 104736, 62004, 109115, 103087, 35083, 38641, 1811, 106444, 106081, 111186, 30512, 127706, 15024, 36896, 58666, 118587, 104862, 32018, 54926, 58666, 37729, 104599, 109860, 127105, 105284, 16144, 126574, 102923, 103991, 114475, 76622, 110071, 105908, 108608, 16144, 125651, 1811, 128001, 128000, 7511, 13177, 112258, 249, 115541, 23538, 30512, 110498, 31431, 104087, 107290, 111329, 16, 9953, 914, 9080, 55031, 27704, 117864, 48864, 8107, 106968, 23187, 23538, 106081, 111186, 29295, 966, 117816, 105721, 35287, 56051, 1811, 106081, 111186, 16, 111299, 56965, 25580, 55031, 107253, 104874, 117232, 103306, 5486, 102208, 105964, 38093, 34048, 112415, 15682, 5486, 106649, 82973, 16556, 126120, 96455, 16144, 101182, 20251, 44971, 118928, 94550, 30512, 103350, 102923, 56051, 1811, 33014, 123457, 109205, 69978, 54926, 105908, 113173, 16556, 106081, 111186, 53508, 231, 104195, 19732, 20251, 44971, 118928, 94550, 16144, 110176, 80195, 30512, 111629, 31431, 5486, 39850, 37823, 102040, 37823, 16144, 101182, 104654, 30512, 103188, 48154, 56051, 1811, 220, 30813, 38144, 5486, 19, 9953, 126328, 5486, 102717, 19732, 124592, 16144, 34048, 16556, 102667, 16144, 102208, 104091, 112345, 29295, 111671, 84389, 36896, 102667, 102433, 15120, 118587, 62004, 75694, 103792, 1811, 30832, 105888, 104067, 13153, 16144, 103846, 102052, 5486, 61826, 101860, 5486, 115350, 122485, 115303, 31431, 29295, 64209, 96356, 107173, 20230, 80988, 239, 104195, 103195, 100909, 36785, 1811, 117826, 19000, 15682, 5486, 57207, 106240, 16073, 90962, 52591, 103195, 29295, 5486, 20251, 44971, 118928, 94550, 23538, 16556, 78244, 116285, 112258, 249, 91779, 105, 23538, 10110, 23951, 113598, 58246, 120117, 115541, 30512, 108882, 104127, 5486, 64209, 96356, 9458, 118552, 30512, 118368, 47884, 7705, 20230, 30591, 28713, 30369, 1811, 717, 9953, 119400, 55031, 17, 9953, 10110, 103664, 18, 113746, 56965, 7705, 103296, 20230, 116898, 111201, 51330, 39177, 23538, 30512, 103188, 48154, 17663, 32149, 103195, 1811, 33014, 48634, 20251, 44971, 118928, 94550, 77181, 5486, 80805, 124049, 10110, 22398, 70563, 65575, 58246, 119049, 48634, 7705, 9458, 69978, 101704, 48634, 9458, 112163, 118742, 34171, 123160, 113598, 13153, 123410, 1811, 66378, 20230, 13177, 69978, 101704, 48634, 118587, 45736, 62004, 101200, 19732, 112990, 5486, 102149, 76947, 64209, 26274, 241, 20230, 109972, 111600, 119707, 105784, 107202, 102800, 20251, 44971, 118928, 94550, 20230, 17, 21909, 18, 113746, 16144, 101544, 117232, 29295, 109215, 19732, 107001, 9174, 16906, 111, 117759, 16144, 26854, 32149, 5486, 16906, 111, 106624, 9458, 107202, 102800, 20251, 44971, 118928, 94550, 30512, 110498, 31431, 104087, 107290, 127105, 5486, 30832, 105888, 104067, 13153, 108608, 105272, 9174, 13177, 112258, 249, 91779, 105, 15682, 5486, 37507, 23538, 16144, 102669, 116486, 107294, 105722, 30369, 1811, 80988, 239, 105714, 33121, 76864, 320, 101544, 102571, 340, 13177, 108436, 81219, 112179, 61826, 16144, 14276, 244, 10646, 115261, 33420, 106382, 30046, 127298, 47260, 61398, 83354, 198, 33035, 114731, 101721, 101918, 16556, 91774, 32149, 107674, 100909, 38641, 1811, 104603, 72369, 65299, 104603, 72369, 65299, 77181, 124897, 29295, 5486, 80195, 103836, 116537, 37795, 96, 19732, 114948, 29295, 109835, 33121, 40862, 30297, 32149, 33476, 32149, 102677, 121894, 38641, 1811, 37795, 96, 77181, 85707, 92877, 16144, 111482, 29295, 22656, 30512, 98499, 64121, 106272, 80195, 107462, 79721, 1811, 102780, 32977, 107118, 127408, 23187, 16556, 56051, 29295, 5486, 110176, 46034, 16556, 22656, 114792, 107462, 79721, 1811, 102404, 101918, 112990, 101721, 101918, 15682, 21441, 118, 33121, 5486, 111482, 32977, 57980, 85791, 62004, 50834, 127933, 38144, 38144, 59739, 31431, 107804, 116825, 32149, 64121, 33541, 1811, 21105, 108, 124749, 39926, 101721, 101918, 16144, 21441, 118, 33121, 29295, 110226, 17129, 104533, 112909, 106627, 15024, 5486, 53900, 110176, 46034, 16556, 22656, 30512, 110794, 79721, 1811, 51385, 23187, 102149, 23039, 15682, 101544, 47884, 106307, 32149, 101860, 5486, 71493, 109229, 71289, 21601, 114485, 95399, 16556, 101721, 101918, 15682, 21441, 118, 33121, 33541, 1811, 115963, 20230, 111482, 32977, 105104, 33503, 105104, 33503, 39926, 5486, 127933, 38144, 38144, 59739, 31431, 107804, 107294, 32149, 109709, 5486, 110226, 17129, 104533, 53900, 106627, 78434, 109900, 29295, 99849, 27479, 32977, 103721, 108, 31431, 104196, 84389, 106116, 27479, 20230, 111006, 29295, 40265, 28713, 30369, 105879, 114715, 16144, 25197, 102803, 32131, 30512, 112391, 59739, 59739, 5486, 101182, 107750, 99397, 29295, 103892, 20230, 111179, 32149, 102802, 79721, 1811, 26854, 112371, 111482, 15682, 59739, 31431, 107804, 107294, 32149, 117864, 112909, 106627, 39926, 114732, 120900, 32149, 19732, 1811, 101918, 32943, 39880, 96452, 65299, 107446, 72661, 31958, 33503, 107188, 104466, 5486, 27929, 32977, 27929, 32977, 59739, 31431, 107804, 15682, 101067, 23187, 107001, 21441, 118, 33121, 55031, 96356, 30512, 106154, 30369, 103911, 103181, 103223, 64178, 116787, 5486, 30926, 74482, 10110, 21441, 118, 33121, 29295, 125119, 100472, 74482, 7705, 20230, 17663, 29295, 30369, 103223, 64178, 77181, 124897, 1811, 113938, 16144, 21441, 118, 33121, 122291, 104983, 5486, 59739, 31431, 107804, 107294, 32149, 17129, 107462, 104984, 108436, 105987, 54926, 112997, 29220, 15682, 117355, 114485, 84389, 33541, 29295, 5486, 21441, 118, 106824, 55031, 59739, 32149, 104004, 104468, 110482, 111108, 16556, 5486, 108436, 105987, 39926, 107297, 37046, 123410, 112997, 29220, 15682, 45736, 109709, 33541, 1811, 111482, 15682, 5486, 103721, 108, 31431, 104196, 119432, 21441, 118, 33121, 30512, 106613, 111186, 15024, 106116, 27479, 103732, 85791, 62004, 119188, 113334, 38641, 55031, 5486, 48864, 108710, 8239, 114503, 29295, 122502, 47884, 105110, 5486, 59739, 31431, 107804, 55031, 112909, 106627, 30813, 100604, 116497, 38641, 1811, 26854, 112371, 106627, 39926, 114732, 105879, 109954, 32149, 9174, 115303, 59739, 102052, 5486, 41642, 116310, 20230, 114754, 108086, 5486, 57980, 85791, 62004, 102532, 32977, 104405, 20230, 107188, 30369, 108995, 102677, 51385, 64209, 99750, 29295, 105194, 116, 13153, 103646, 125396, 29295, 113727, 102204, 33541, 1811, 21441, 118, 33121, 16144, 119448, 30813, 113468, 15682, 5486, 40265, 38144, 20230, 56051, 17792, 32977, 57980, 85791, 62004, 102532, 106116, 116245, 55031, 91875, 102532, 114732, 32149, 110241, 33121, 107515, 1811, 46456, 105262, 89783, 116664, 29295, 103470, 38144, 45163, 113257, 105987, 15024, 108176, 32149, 110241, 33121, 107515, 1811, 105184, 103350, 111769, 110115, 5486, 119869, 55031, 43511, 17792, 20230, 116907, 16144, 105509, 30512, 103057, 101832, 30369, 83799, 38641, 1811, 104284, 46034, 26854, 84851, 108867, 111848, 16937, 105184, 103350, 26854, 51385, 64209, 99750, 29295, 5486, 105509, 30512, 126845, 112854, 107726, 38144, 114732, 105879, 109954, 9174, 108031, 115303, 59739, 15682, 5486, 45163, 37507, 16144, 125478, 26854, 60632, 104698, 105755, 56965, 60358, 16144, 98184, 104398, 26854, 60632, 104698, 30512, 104622, 61826, 54926, 105242, 22649, 29295, 122502, 102334, 125396, 29295, 113727, 102204, 33541, 1811, 101860, 104043, 112909, 109415, 38144, 59739, 31431, 107804, 116825, 32149, 104127, 16995, 104533, 117395, 15682, 127814, 33121, 33541, 118855, 35818, 46034, 77181, 22656, 30512, 98499, 104004, 110115, 16937, 102924, 38641, 1811, 21441, 118, 33121, 119703, 121894, 77181, 112909, 17297, 102639, 101732, 118881, 29295, 102395, 109431, 16556, 39850, 37823, 67075, 107407, 104466, 91774, 58942, 33541, 1811, 72661, 5486, 110241, 113938, 16144, 21441, 118, 33121, 16556, 108436, 105987, 39926, 110135, 108881, 104309, 127564, 5486, 46034, 29295, 127814, 104028, 67645, 107404, 16144, 30926, 107328, 77181, 124897, 1811, 127814, 33121, 15682, 105677, 107063, 102, 16556, 18904, 109095, 78434, 29295, 5486, 110135, 108881, 15682, 104654, 20230, 27384, 112495, 46456, 108502, 30512, 124284, 78434, 1811, 126920, 111098, 105784, 125231, 15682, 5486, 127814, 33121, 126194, 107297, 37046, 26854, 110115, 5486, 60632, 104698, 16144, 102769, 117598, 27479, 40862, 16995, 113468, 122225, 29295, 115461, 78183, 116216, 114732, 105879, 109954, 9174, 72368, 40862, 16144, 126521, 84851, 108867, 111848, 126845, 112854, 10110, 114284, 121423, 7705, 71289, 82973, 99750, 112854, 111848, 95001, 112603, 114181, 16144, 125144, 104736, 15682, 5486, 9080, 40053, 9554, 103732, 47884, 91774, 110071, 125456, 80805, 102514, 16073, 38641, 1811, 91482, 76428, 102750, 22398, 71289, 57326, 102803, 102832, 84477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 126758, 5486, 122013, 55031, 91774, 54322, 110731, 101682, 113293, 30046, 15682, 5486, 124042, 112535, 109988, 115737, 31431, 33541, 9174, 112990, 104405, 109020, 32149, 95532, 105321, 19732, 5486, 113293, 102781, 32938, 107809, 102052, 108948, 124652, 32977, 57903, 33541, 118844, 102052, 121602, 50834, 79721, 9174, 115514, 110135, 16144, 113801, 108167, 46034, 125001, 100604, 126513, 5486, 113293, 102781, 32938, 107809, 117083, 33334, 124652, 20230, 123653, 101161, 105, 103646, 31431, 78434, 9174, 33334, 124652, 37026, 33014, 15682, 5486, 59657, 222, 16144, 48915, 117083, 102677, 55487, 101557, 106, 32977, 57903, 33541, 9174, 109988, 115737, 114598, 126738, 5486, 59657, 222, 107809, 20230, 107991, 102677, 16144, 77181, 13153, 6271, 237, 118765, 102677, 55487, 101557, 106, 55031, 38641, 9174, 126920, 85701, 16556, 5486, 126521, 105879, 109954, 32149, 11571, 128001, 128000, 101083, 107809, 102052, 121771, 115867, 103087, 35083, 115991, 33541, 101832, 109807, 16325, 72661, 107063, 100, 33121, 107407, 112973, 58666, 37729, 104599, 38641, 123794, 9174, 107943, 122615, 16144, 105811, 30512, 58666, 106624, 50834, 33121, 16995, 116446, 124089, 58666, 37729, 104599, 119627, 111476, 21105, 96, 107277, 103087, 35083, 114792, 100472, 17792, 111769, 19732, 58666, 37729, 102452, 16556, 122502, 124324, 16144, 30512, 48154, 25359, 53283, 123253, 32149, 9174, 80539, 123259, 114172, 102181, 102052, 117727, 31091, 16556, 61304, 17701, 54926, 109215, 115991, 33541, 9174, 51330, 77219, 77181, 58666, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 71289, 58426, 114172, 102512, 109853, 48154, 126362, 102334, 78434, 9174, 567, 105913, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 15682, 95532, 58666, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 15682, 58426, 110674, 13177, 198, 58666, 37729, 104599, 103048, 110008, 10646, 38641, 9174, 58666, 37729, 104599, 103048, 110008, 107118, 53900, 103283, 20230, 22649, 37729, 104599, 103048, 110008, 32977, 57903, 33541, 9174, 25963, 118821, 121953, 15682, 5486, 33671, 16144, 121640, 112424, 16556, 23187, 62004, 124195, 61689, 9174, 12, 112296, 37729, 104599, 25333, 16556, 13177, 103892, 122615, 16144, 6701, 230, 104526, 5486, 105791, 21403, 225, 31431, 50667, 16144, 41007, 16556, 37729, 110783, 30512, 64531, 105262, 100909, 1811, 111329, 12, 105913, 37729, 104599, 25333, 16556, 13177, 80805, 108941, 73590, 111234, 109229, 5486, 102971, 122615, 5486, 33208, 90397, 100, 123160, 41007, 112212, 5486, 37729, 110783, 30512, 58666, 106624, 54926, 100909, 1811, 111329, 31958, 105184, 26854, 121953, 103306, 15682, 5486, 100499, 255, 21403, 225, 31431, 71289, 105791, 21403, 225, 31431, 29295, 108608, 112973, 22649, 37729, 104599, 104856, 76947, 61689, 9174, 51330, 106081, 111186, 15682, 106444, 106081, 111186, 38641, 105879, 111476, 115181, 54926, 100909, 113468, 29504, 55031, 104736, 62004, 125398, 102677, 110322, 121711, 33541, 9174, 567, 105913, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 198, 123259, 114172, 102181, 20230, 104405, 102181, 102334, 33503, 104712, 32149, 101128, 102, 104004, 24273, 32977, 16995, 33503, 42891, 116826, 104533, 91763, 61689, 29295, 106116, 110674, 13177, 198, 58666, 37729, 104599, 103048, 110008, 121619, 50928, 66383, 61304, 17701, 103801, 109954, 9174, 58426, 104983, 102052, 115181, 8107, 9953, 32977, 112727, 100604, 104466, 103801, 109954, 9174, 115181, 8107, 9953, 103296, 17701, 106824, 117727, 31091, 16556, 102181, 126145, 13177, 198, 41832, 107, 8107, 41832, 107, 9953, 105913, 37729, 104599, 103048, 110008, 121619, 50928, 10646, 125651, 106609, 567, 105913, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 16144, 114172, 102512, 198, 58666, 37729, 104599, 103306, 16144, 103087, 35083, 15682, 109349, 234, 114035, 113146, 16144, 122615, 102971, 16995, 55031, 27704, 17129, 76947, 61689, 9174, 100499, 115, 30512, 102971, 30297, 105908, 43240, 102518, 51330, 113146, 119627, 111476, 31958, 71005, 113146, 101983, 104533, 5486, 122615, 16144, 105811, 30512, 111764, 116446, 32977, 126521, 102677, 40089, 103507, 29295, 16556, 79721, 9174, 110924, 126328, 125559, 55031, 108167, 125639, 102204, 5486, 112599, 103296, 103826, 104680, 26854, 108768, 39880, 105335, 106696, 29295, 106084, 115442, 31431, 79721, 9174, 112599, 16144, 198, 58666, 37729, 104599, 29295, 105184, 80195, 103646, 104468, 20713, 68093, 44597, 66224, 116033, 22649, 37729, 104599, 25333, 55031, 58666, 37729, 104599, 25333, 29295, 118326, 39926, 55031, 38641, 9174, 61826, 43032, 56051, 121640, 5486, 108768, 39880, 109753, 71289, 80805, 108941, 5486, 39850, 125596, 104309, 91774, 28713, 118146, 58666, 106624, 54926, 120266, 66378, 33208, 56051, 107430, 104091, 121711, 79721, 9174, 567, 105913, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 30512, 104662, 109013, 104468, 36785, 33121, 95532, 58666, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 16144, 44416, 23187, 119627, 5486, 117896, 15682, 198, 58666, 37729, 104599, 25333, 30512, 23187, 62004, 100934, 125525, 122074, 111848, 102944, 38641, 9174, 106444, 103087, 35083, 16144, 58666, 37729, 104599, 103048, 110008, 119627, 124563, 112371, 106444, 103087, 35083, 26854, 104865, 102677, 19732, 111476, 6701, 225, 53953, 30512, 121247, 30297, 101399, 5486, 80539, 108581, 21990, 17905, 16144, 109606, 38641, 9174, 33334, 65854, 103826, 16144, 122615, 71289, 105871, 104735, 248, 20230, 109835, 104028, 108581, 21990, 28190, 5486, 102040, 60868, 101198, 71289, 71493, 109554, 21403, 97, 50667, 16144, 117434, 25446, 30512, 38129, 54926, 121247, 16995, 104309, 29295, 112424, 16556, 23187, 62004, 124195, 61689, 9174, 58666, 37729, 104599, 103048, 110008, 30512, 19361, 109768, 100604, 114754, 102923, 103991, 123410, 115789, 124260, 116216, 61689, 9174, 567, 105913, 37729, 104599, 16144, 117727, 31091, 123011, 62004, 198, 58666, 37729, 104599, 103048, 110008, 16144, 117727, 31091, 15682, 13177, 198, 123259, 114172, 102181, 20230, 102181, 47884, 104983, 15682, 13177, 198, 41832, 107, 8107, 41832, 107, 9953, 105913, 37729, 104599, 103048, 110008, 121619, 50928, 66383, 61304, 17701, 103801, 109954, 9174, 117727, 31091, 30512, 23187, 62004, 100934, 104468, 58666, 37729, 104599, 25333, 30512, 23187, 62004, 100934, 29504, 104856, 76947, 61689, 9174, 58666, 37729, 104599, 103048, 110008, 15682, 21105, 96, 107277, 19732, 112424, 80539, 29504, 20230, 104736, 62004, 109115, 103087, 35083, 38641, 1811, 106444, 106081, 111186, 30512, 127706, 15024, 36896, 58666, 118587, 104862, 32018, 54926, 58666, 37729, 104599, 109860, 127105, 105284, 16144, 126574, 102923, 103991, 114475, 76622, 110071, 105908, 108608, 16144, 125651, 1811, 128001, 128000, 7511, 13177, 112258, 249, 115541, 23538, 30512, 110498, 31431, 104087, 107290, 111329, 16, 9953, 914, 9080, 55031, 27704, 117864, 48864, 8107, 106968, 23187, 23538, 106081, 111186, 29295, 966, 117816, 105721, 35287, 56051, 1811, 106081, 111186, 16, 111299, 56965, 25580, 55031, 107253, 104874, 117232, 103306, 5486, 102208, 105964, 38093, 34048, 112415, 15682, 5486, 106649, 82973, 16556, 126120, 96455, 16144, 101182, 20251, 44971, 118928, 94550, 30512, 103350, 102923, 56051, 1811, 33014, 123457, 109205, 69978, 54926, 105908, 113173, 16556, 106081, 111186, 53508, 231, 104195, 19732, 20251, 44971, 118928, 94550, 16144, 110176, 80195, 30512, 111629, 31431, 5486, 39850, 37823, 102040, 37823, 16144, 101182, 104654, 30512, 103188, 48154, 56051, 1811, 220, 30813, 38144, 5486, 19, 9953, 126328, 5486, 102717, 19732, 124592, 16144, 34048, 16556, 102667, 16144, 102208, 104091, 112345, 29295, 111671, 84389, 36896, 102667, 102433, 15120, 118587, 62004, 75694, 103792, 1811, 30832, 105888, 104067, 13153, 16144, 103846, 102052, 5486, 61826, 101860, 5486, 115350, 122485, 115303, 31431, 29295, 64209, 96356, 107173, 20230, 80988, 239, 104195, 103195, 100909, 36785, 1811, 117826, 19000, 15682, 5486, 57207, 106240, 16073, 90962, 52591, 103195, 29295, 5486, 20251, 44971, 118928, 94550, 23538, 16556, 78244, 116285, 112258, 249, 91779, 105, 23538, 10110, 23951, 113598, 58246, 120117, 115541, 30512, 108882, 104127, 5486, 64209, 96356, 9458, 118552, 30512, 118368, 47884, 7705, 20230, 30591, 28713, 30369, 1811, 717, 9953, 119400, 55031, 17, 9953, 10110, 103664, 18, 113746, 56965, 7705, 103296, 20230, 116898, 111201, 51330, 39177, 23538, 30512, 103188, 48154, 17663, 32149, 103195, 1811, 33014, 48634, 20251, 44971, 118928, 94550, 77181, 5486, 80805, 124049, 10110, 22398, 70563, 65575, 58246, 119049, 48634, 7705, 9458, 69978, 101704, 48634, 9458, 112163, 118742, 34171, 123160, 113598, 13153, 123410, 1811, 66378, 20230, 13177, 69978, 101704, 48634, 118587, 45736, 62004, 101200, 19732, 112990, 5486, 102149, 76947, 64209, 26274, 241, 20230, 109972, 111600, 119707, 105784, 107202, 102800, 20251, 44971, 118928, 94550, 20230, 17, 21909, 18, 113746, 16144, 101544, 117232, 29295, 109215, 19732, 107001, 9174, 16906, 111, 117759, 16144, 26854, 32149, 5486, 16906, 111, 106624, 9458, 107202, 102800, 20251, 44971, 118928, 94550, 30512, 110498, 31431, 104087, 107290, 127105, 5486, 30832, 105888, 104067, 13153, 108608, 105272, 9174, 13177, 112258, 249, 91779, 105, 15682, 5486, 37507, 23538, 16144, 102669, 116486, 107294, 105722, 30369, 1811, 80988, 239, 105714, 33121, 76864, 320, 101544, 102571, 340, 13177, 108436, 81219, 112179, 61826, 16144, 14276, 244, 10646, 115261, 33420, 106382, 30046, 127298, 47260, 61398, 83354, 198, 33035, 114731, 101721, 101918, 16556, 91774, 32149, 107674, 100909, 38641, 1811, 104603, 72369, 65299, 104603, 72369, 65299, 77181, 124897, 29295, 5486, 80195, 103836, 116537, 37795, 96, 19732, 114948, 29295, 109835, 33121, 40862, 30297, 32149, 33476, 32149, 102677, 121894, 38641, 1811, 37795, 96, 77181, 85707, 92877, 16144, 111482, 29295, 22656, 30512, 98499, 64121, 106272, 80195, 107462, 79721, 1811, 102780, 32977, 107118, 127408, 23187, 16556, 56051, 29295, 5486, 110176, 46034, 16556, 22656, 114792, 107462, 79721, 1811, 102404, 101918, 112990, 101721, 101918, 15682, 21441, 118, 33121, 5486, 111482, 32977, 57980, 85791, 62004, 50834, 127933, 38144, 38144, 59739, 31431, 107804, 116825, 32149, 64121, 33541, 1811, 21105, 108, 124749, 39926, 101721, 101918, 16144, 21441, 118, 33121, 29295, 110226, 17129, 104533, 112909, 106627, 15024, 5486, 53900, 110176, 46034, 16556, 22656, 30512, 110794, 79721, 1811, 51385, 23187, 102149, 23039, 15682, 101544, 47884, 106307, 32149, 101860, 5486, 71493, 109229, 71289, 21601, 114485, 95399, 16556, 101721, 101918, 15682, 21441, 118, 33121, 33541, 1811, 115963, 20230, 111482, 32977, 105104, 33503, 105104, 33503, 39926, 5486, 127933, 38144, 38144, 59739, 31431, 107804, 107294, 32149, 109709, 5486, 110226, 17129, 104533, 53900, 106627, 78434, 109900, 29295, 99849, 27479, 32977, 103721, 108, 31431, 104196, 84389, 106116, 27479, 20230, 111006, 29295, 40265, 28713, 30369, 105879, 114715, 16144, 25197, 102803, 32131, 30512, 112391, 59739, 59739, 5486, 101182, 107750, 99397, 29295, 103892, 20230, 111179, 32149, 102802, 79721, 1811, 26854, 112371, 111482, 15682, 59739, 31431, 107804, 107294, 32149, 117864, 112909, 106627, 39926, 114732, 120900, 32149, 19732, 1811, 101918, 32943, 39880, 96452, 65299, 107446, 72661, 31958, 33503, 107188, 104466, 5486, 27929, 32977, 27929, 32977, 59739, 31431, 107804, 15682, 101067, 23187, 107001, 21441, 118, 33121, 55031, 96356, 30512, 106154, 30369, 103911, 103181, 103223, 64178, 116787, 5486, 30926, 74482, 10110, 21441, 118, 33121, 29295, 125119, 100472, 74482, 7705, 20230, 17663, 29295, 30369, 103223, 64178, 77181, 124897, 1811, 113938, 16144, 21441, 118, 33121, 122291, 104983, 5486, 59739, 31431, 107804, 107294, 32149, 17129, 107462, 104984, 108436, 105987, 54926, 112997, 29220, 15682, 117355, 114485, 84389, 33541, 29295, 5486, 21441, 118, 106824, 55031, 59739, 32149, 104004, 104468, 110482, 111108, 16556, 5486, 108436, 105987, 39926, 107297, 37046, 123410, 112997, 29220, 15682, 45736, 109709, 33541, 1811, 111482, 15682, 5486, 103721, 108, 31431, 104196, 119432, 21441, 118, 33121, 30512, 106613, 111186, 15024, 106116, 27479, 103732, 85791, 62004, 119188, 113334, 38641, 55031, 5486, 48864, 108710, 8239, 114503, 29295, 122502, 47884, 105110, 5486, 59739, 31431, 107804, 55031, 112909, 106627, 30813, 100604, 116497, 38641, 1811, 26854, 112371, 106627, 39926, 114732, 105879, 109954, 32149, 9174, 115303, 59739, 102052, 5486, 41642, 116310, 20230, 114754, 108086, 5486, 57980, 85791, 62004, 102532, 32977, 104405, 20230, 107188, 30369, 108995, 102677, 51385, 64209, 99750, 29295, 105194, 116, 13153, 103646, 125396, 29295, 113727, 102204, 33541, 1811, 21441, 118, 33121, 16144, 119448, 30813, 113468, 15682, 5486, 40265, 38144, 20230, 56051, 17792, 32977, 57980, 85791, 62004, 102532, 106116, 116245, 55031, 91875, 102532, 114732, 32149, 110241, 33121, 107515, 1811, 46456, 105262, 89783, 116664, 29295, 103470, 38144, 45163, 113257, 105987, 15024, 108176, 32149, 110241, 33121, 107515, 1811, 105184, 103350, 111769, 110115, 5486, 119869, 55031, 43511, 17792, 20230, 116907, 16144, 105509, 30512, 103057, 101832, 30369, 83799, 38641, 1811, 104284, 46034, 26854, 84851, 108867, 111848, 16937, 105184, 103350, 26854, 51385, 64209, 99750, 29295, 5486, 105509, 30512, 126845, 112854, 107726, 38144, 114732, 105879, 109954, 9174, 108031, 115303, 59739, 15682, 5486, 45163, 37507, 16144, 125478, 26854, 60632, 104698, 105755, 56965, 60358, 16144, 98184, 104398, 26854, 60632, 104698, 30512, 104622, 61826, 54926, 105242, 22649, 29295, 122502, 102334, 125396, 29295, 113727, 102204, 33541, 1811, 101860, 104043, 112909, 109415, 38144, 59739, 31431, 107804, 116825, 32149, 104127, 16995, 104533, 117395, 15682, 127814, 33121, 33541, 118855, 35818, 46034, 77181, 22656, 30512, 98499, 104004, 110115, 16937, 102924, 38641, 1811, 21441, 118, 33121, 119703, 121894, 77181, 112909, 17297, 102639, 101732, 118881, 29295, 102395, 109431, 16556, 39850, 37823, 67075, 107407, 104466, 91774, 58942, 33541, 1811, 72661, 5486, 110241, 113938, 16144, 21441, 118, 33121, 16556, 108436, 105987, 39926, 110135, 108881, 104309, 127564, 5486, 46034, 29295, 127814, 104028, 67645, 107404, 16144, 30926, 107328, 77181, 124897, 1811, 127814, 33121, 15682, 105677, 107063, 102, 16556, 18904, 109095, 78434, 29295, 5486, 110135, 108881, 15682, 104654, 20230, 27384, 112495, 46456, 108502, 30512, 124284, 78434, 1811, 126920, 111098, 105784, 125231, 15682, 5486, 127814, 33121, 126194, 107297, 37046, 26854, 110115, 5486, 60632, 104698, 16144, 102769, 117598, 27479, 40862, 16995, 113468, 122225, 29295, 115461, 78183, 116216, 114732, 105879, 109954, 9174, 72368, 40862, 16144, 126521, 84851, 108867, 111848, 126845, 112854, 10110, 114284, 121423, 7705, 71289, 82973, 99750, 112854, 111848, 95001, 112603, 114181, 16144, 125144, 104736, 15682, 5486, 9080, 40053, 9554, 103732, 47884, 91774, 110071, 125456, 80805, 102514, 16073, 38641, 1811, 91482, 76428, 102750, 22398, 71289, 57326, 102803, 102832, 84477 ]
[ 16144, 107693, 26854, 91077, 28190, 77181, 110371, 125456, 80805, 102514, 16073, 29295, 27384, 112495, 125173, 21388, 30512, 104394, 47884, 105572, 63212, 108176, 115789, 57903, 33541, 112004, 33035, 114731, 108968, 16325, 16144, 98184, 104398, 26854, 106084, 30926, 119627, 5486, 25580, 32977, 76947, 59739, 31431, 107804, 116825, 32149, 104127, 33334, 47884, 100909, 126636, 102769, 30813, 30512, 88356, 104736, 109375, 54926, 105908, 103082, 79721, 1811, 43444, 40053, 101701, 7705, 128001, 128000, 2, 108477, 108, 32977, 100927, 107290, 47884, 110615, 101734, 96, 13647, 227, 10110, 25197, 103672, 7705, 71005, 109519, 16144, 103350, 104983, 19732, 127880, 49792, 101908, 5486, 47260, 103223, 198, 80721, 222, 32938, 109519, 25333, 19732, 37087, 96356, 109519, 25333, 115408, 15682, 108895, 71005, 109519, 103792, 198, 47774, 114341, 104599, 110004, 101701, 80866, 17161, 120616, 21990, 10110, 111344, 101557, 230, 122393, 38093, 103242, 70626, 102667, 106057, 103204, 122412, 105871, 104735, 248, 70626, 115304, 40053, 114731, 114341, 104599, 5486, 43511, 23954, 29, 114341, 104599, 116718, 15682, 117896, 198, 11144, 64810, 101198, 118567, 107963, 31634, 112479, 101734, 96, 13647, 227, 10110, 16995, 109416, 119735, 5486, 57903, 105104, 103468, 116436, 111694, 38641, 1811, 105871, 104735, 248, 70626, 116749, 105352, 120268, 116581, 70626, 5486, 32943, 70626, 5486, 48915, 70626, 71289, 64531, 83799, 48915, 70626, 5486, 48915, 127122, 34048, 16144, 101734, 96, 13647, 227, 103195, 119522, 112465, 109713, 76428, 42634, 108941, 15682, 14888, 234, 126017, 32648, 70626, 71289, 106518, 122924, 17792, 70626, 16144, 105408, 24273, 29295, 120761, 110071, 115789, 127181, 106046, 61689, 9174, 101734, 96, 13647, 227, 10110, 16995, 109416, 119735, 5486, 105005, 53283, 16144, 30624, 47884, 5486, 120761, 64889, 15682, 119237, 119627, 109606, 15682, 58426, 71005, 109519, 38641, 1811, 110022, 38144, 16144, 121648, 98369, 20230, 15120, 103826, 20230, 104622, 106824, 19361, 126120, 19732, 78244, 105262, 101734, 96, 13647, 227, 71005, 109519, 25333, 15682, 124897, 1811, 121648, 98369, 121410, 20230, 71005, 109519, 25333, 30512, 121507, 78434, 29295, 5486, 34617, 113746, 71689, 106307, 107441, 43568, 126120, 16144, 107803, 5486, 106307, 23039, 120837, 19361, 126120, 20230, 108436, 101860, 30369, 109335, 83747, 100604, 105908, 53283, 124195, 61689, 115397, 24273, 5486, 71005, 109519, 25333, 30512, 122489, 56051, 108968, 79982, 20230, 71005, 23706, 240, 54926, 105908, 101182, 123017, 101734, 96, 13647, 227, 71005, 109519, 16144, 66378, 17599, 112, 38641, 1811, 109020, 103854, 47884, 43240, 119064, 71005, 109519, 25333, 30512, 108710, 50928, 54926, 109215, 107407, 105908, 17620, 107277, 33541, 29295, 5486, 101734, 96, 13647, 227, 71005, 109519, 16144, 43240, 47884, 15682, 53283, 109375, 121142, 103470, 103350, 104983, 109904, 112113, 10110, 22398, 62903, 33710, 120732, 105318, 107001, 91077, 32938, 109519, 25333, 38641, 1811, 105352, 26955, 246, 121140, 5486, 108710, 50928, 101513, 38093, 16144, 83747, 100604, 118288, 37271, 16144, 103242, 109519, 115517, 15682, 110993, 107436, 109606, 19732, 78244, 58942, 33541, 9174, 53900, 5486, 106142, 12870, 235, 109519, 25333, 122692, 106266, 102800, 101734, 120, 108631, 71289, 53610, 101734, 109, 115376, 104309, 5486, 71005, 109519, 25333, 113468, 15682, 59614, 102404, 107173, 78244, 105262, 106966, 113266, 29295, 5486, 29220, 44971, 103202, 16144, 113385, 108176, 115789, 57903, 33541, 1811, 114392, 26854, 76171, 108526, 103202, 45923, 109713, 64810, 52414, 30512, 50928, 38144, 23039, 30297, 109215, 115991, 5486, 33563, 117126, 109431, 106608, 48915, 71005, 109519, 25333, 16144, 127181, 101734, 96, 13647, 227, 71005, 109519, 77181, 5486, 66378, 20230, 104650, 37689, 17663, 125231, 109606, 38641, 9174, 22656, 103242, 109519, 112113, 64810, 101198, 118567, 77181, 5486, 106142, 12870, 235, 109519, 25333, 5486, 101721, 95221, 123307, 66285, 120, 25333, 71289, 44971, 38248, 114, 11972, 103858, 116, 107471, 123160, 48915, 70626, 9554, 71005, 109519, 25333, 16144, 102717, 32149, 5486, 76706, 34171, 25287, 91482, 47307, 101198, 16073, 35, 18, 122279, 104735, 237, 5486, 118953, 122258, 107908, 68408, 107461, 45923, 71289, 111661, 101335, 64178, 25333, 123160, 48915, 11883, 109519, 25333, 71289, 76739, 20251, 44971, 78459, 96452, 84477, 32943, 44309, 123160, 37087, 96356, 109519, 25333, 109853, 50520, 111, 43032, 78434, 29295, 5486, 71005, 109519, 53229, 22649, 71289, 46034, 83301, 121142, 103470, 5486, 109431, 106608, 71289, 66776, 109431, 106608, 5486, 106966, 113266, 71289, 76171, 108526, 103202, 45923, 109713, 64810, 52414, 16144, 103350, 104983, 109853, 32977, 118789, 112535, 43032, 103854, 33541, 54747, 108631, 47884, 100604, 101734, 96, 13647, 227, 71005, 109519, 25333, 10110, 66776, 48915, 70626, 9554, 71005, 109519, 25333, 7705, 863, 15682, 5486, 48915, 70626, 9554, 71005, 109519, 20230, 120988, 78183, 110104, 32943, 70626, 71289, 31809, 116581, 70626, 16144, 105408, 24273, 105352, 119237, 20230, 108608, 19361, 11883, 26854, 71005, 109519, 25333, 38641, 9174, 53900, 5486, 71005, 109519, 20230, 40265, 115926, 109215, 26854, 5486, 101734, 96, 13647, 227, 16144, 103429, 63212, 9458, 103429, 107328, 105242, 5486, 107079, 102701, 120761, 64889, 71289, 99959, 25005, 95, 118283, 107610, 30512, 11883, 102334, 120761, 64889, 5486, 65299, 90962, 101335, 39850, 5486, 47307, 47260, 71289, 92877, 17792, 34171, 101734, 96, 13647, 227, 123160, 124140, 103283, 116436, 111694, 93056, 18655, 30369, 863, 2118, 18655, 110104, 863, 16556, 105242, 106106, 16144, 115924, 119841, 108044, 108208, 34171, 122279, 103204, 101921, 104, 10110, 64121, 101860, 16995, 109416, 120732, 71005, 109519, 109853, 32977, 43032, 103854, 106956, 19732, 78698, 107290, 61689, 9174, 28194, 106, 76947, 48154, 110284, 72315, 9174, 58, 114341, 102446, 57326, 77750, 32131, 91062, 124001, 31634, 6079, 101, 933, 605, 5232, 410, 34363, 806, 5232, 410, 40, 13, 101734, 96, 13647, 227, 16144, 103429, 63212, 19732, 103429, 107328, 5486, 120761, 64889, 19732, 124140, 103283, 120761, 64889, 198, 71005, 109519, 20230, 40265, 115926, 36896, 116436, 111694, 16144, 103429, 63212, 9458, 103429, 107328, 30512, 37656, 106624, 113954, 39926, 33334, 47884, 100909, 66383, 13177, 37656, 105184, 26854, 120761, 64889, 29295, 108608, 100909, 66383, 15682, 117119, 105352, 17129, 39926, 107693, 26854, 100909, 38641, 1811, 6748, 53, 16144, 65299, 106696, 22398, 48864, 9554, 34171, 103397, 71289, 17620, 104770, 5486, 124118, 40053, 34171, 101734, 96, 13647, 227, 5486, 101198, 33710, 39850, 114741, 5486, 15355, 223, 50211, 101734, 96, 13647, 227, 5486, 119522, 112465, 109713, 76428, 42634, 108941, 71289, 103672, 38248, 101, 16073, 103826, 118801, 101734, 117, 111571, 123160, 106691, 9554, 103429, 25287, 109853, 37656, 106624, 120761, 64889, 108608, 104466, 78434, 1811, 103429, 25287, 112212, 71005, 109519, 13153, 116486, 29295, 108901, 109020, 105908, 17620, 126469, 37507, 38144, 108086, 107693, 38641, 1811, 118789, 9554, 102052, 5486, 107079, 102701, 120761, 64889, 71289, 99959, 108941, 118283, 93298, 120761, 64889, 19732, 55999, 20230, 5486, 165, 114, 237, 102701, 10110, 65299, 90962, 101335, 39850, 65459, 102832, 109482, 101921, 104, 10110, 47307, 47260, 65459, 92877, 17792, 34171, 101734, 96, 13647, 227, 71289, 19361, 77062, 246, 104398, 112506, 23706, 234, 50667, 102208, 104091, 105871, 104735, 248, 101921, 104, 114431, 235, 110792, 124140, 103283, 120761, 64889, 109853, 43032, 103854, 33541, 9174, 71005, 109519, 13153, 116486, 70141, 17905, 16144, 103846, 102052, 36896, 101734, 96, 13647, 227, 71005, 109519, 107118, 127091, 56040, 71005, 23706, 240, 20230, 106839, 47884, 103846, 102052, 117119, 29295, 26854, 84389, 123207, 16995, 124324, 104865, 10646, 71005, 109519, 53229, 22649, 30512, 37656, 106624, 113954, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 1811, 118899, 16144, 65299, 106696, 22398, 48864, 9554, 53283, 91774, 20230, 102867, 124949, 114146, 106272, 50338, 108323, 78434, 118855, 5486, 102208, 101734, 96, 13647, 227, 71005, 109519, 25333, 16144, 8428, 44, 16144, 102321, 103397, 109853, 5486, 127515, 105871, 104735, 248, 108396, 38093, 102472, 114265, 118372, 5486, 96830, 93702, 123213, 109861, 122692, 107624, 95001, 50667, 30512, 126362, 21105, 103, 29295, 33503, 50338, 108323, 78434, 9174, 106142, 12870, 235, 109519, 25333, 5486, 101721, 95221, 123307, 66285, 120, 25333, 5486, 44971, 38248, 114, 11972, 103858, 116, 107471, 25333, 116898, 109416, 21403, 98, 105557, 25333, 50667, 16144, 118656, 9554, 71005, 109519, 25333, 5486, 118953, 122258, 107908, 68408, 107461, 45923, 5486, 111661, 101335, 64178, 5486, 76739, 47307, 101335, 64178, 59657, 245, 52927, 25333, 50667, 16144, 116945, 9554, 71005, 109519, 25333, 5486, 44971, 78459, 101335, 114265, 32943, 44309, 5486, 76706, 34171, 25287, 91482, 47307, 101198, 16073, 35, 18, 5486, 44597, 82313, 71289, 91482, 99959, 32131, 91482, 16073, 122279, 104735, 237, 16144, 48915, 11883, 5486, 52884, 44971, 90962, 68759, 25197, 57207, 16073, 91077, 26130, 50667, 16144, 117434, 22649, 48864, 9554, 71005, 109519, 25333, 5486, 112673, 29220, 25197, 78683, 16073, 76739, 62903, 22398, 71289, 57207, 39850, 78459, 76428, 16073, 32943, 44309, 5486, 30177, 109835, 103048, 115075, 109519, 25333, 71289, 25197, 101198, 62903, 102494, 45923, 48915, 11883, 50667, 16144, 103048, 115075, 48864, 9554, 71005, 109519, 25333, 50667, 109853, 5486, 39850, 71493, 78683, 78525, 91062, 71289, 103350, 104983, 109904, 71005, 109519, 46034, 83301, 5486, 109431, 106608, 71289, 66776, 109431, 106608, 5486, 106966, 113266, 50667, 71005, 109519, 20230, 40265, 115926, 61633, 17663, 125231, 100909, 71289, 76171, 108526, 103202, 45923, 109713, 64810, 52414, 16144, 103350, 104983, 107294, 50834, 50338, 108323, 78434, 9174, 975, 5232, 966, 34363, 868, 5232, 410, 3166, 13, 64121, 101860, 16995, 109416, 10110, 108044, 108208, 34171, 122279, 103204, 101921, 104, 120732, 71005, 109519, 198, 64121, 101860, 16995, 109416, 16144, 113385, 103195, 108044, 108208, 34171, 122279, 103204, 101921, 104, 65299, 106696, 22398, 10110, 11865, 53, 120732, 65299, 106696, 22398, 48864, 107381, 105904, 5486, 11865, 53, 29295, 105811, 68379, 30512, 99750, 108208, 105888, 9554, 117408, 123160, 103429, 107328, 5486, 115075, 48864, 71289, 106691, 9554, 71005, 109519, 25333, 103195, 13177, 64121, 101860, 16995, 109416, 108167, 117503, 103350, 104983, 19732, 108631, 64121, 30512, 83747, 103470, 54926, 49792, 101908, 36896, 64121, 101860, 16995, 109416, 108167, 10646, 116749, 16144, 108631, 47884, 100604, 71005, 109519, 25333, 104309, 109853, 50338, 108323, 78434, 9174, 64810, 101198, 118567, 31634, 100990, 109, 198, 91, 64810, 101198, 118567, 9173, 627, 91, 9079, 198, 91, 87447, 113497, 9080, 198, 91, 679, 16, 8107, 605, 9953, 845, 9080, 220, 605, 25, 410, 56040, 868, 25, 410, 198, 91, 114341, 104599, 198, 91, 47774, 70277, 101701, 80866, 17161, 120616, 21990, 10110, 111344, 101557, 230, 122393, 38093, 103242, 70626, 102667, 106057, 103204, 122412, 105871, 104735, 248, 70626, 115304, 40053, 114731, 114341, 104599, 5486, 43511, 23954, 91, 120761, 109519, 70626, 30832, 198, 91, 108936, 126784, 39276, 198, 91, 78239, 121374, 198, 91, 20, 11, 2636, 35757, 10110, 38093, 102351, 121374, 14, 85188, 104526, 23954, 105721, 35287, 56051, 64810, 101198, 96452, 115247, 120270, 19732, 87447, 113497, 16144, 54872, 103826, 198, 47774, 605, 9953, 845, 9080, 10110, 9080, 7705, 20230, 87447, 113497, 121256, 30537, 9079, 18904, 103242, 109519, 112113, 64810, 101198, 118567, 13177, 112832, 32977, 100927, 107290, 47884, 110615, 101734, 96, 13647, 227, 10110, 25197, 103672, 7705, 71005, 109519, 16144, 103350, 104983, 19732, 127880, 49792, 101908, 5486, 47260, 103223, 34363, 91077, 32938, 109519, 25333, 19732, 37087, 96356, 109519, 25333, 115408, 15682, 108895, 71005, 109519, 103792, 10646, 15682, 109466, 38093, 118124, 20230, 105721, 35287, 121256, 9174, 114652, 115847, 103296, 20230, 5486, 72342, 42891, 32149, 119064, 58666, 17792, 113461, 107493, 5486, 105791, 126636, 30926, 26854, 105494, 20230, 25197, 103672, 115991, 5486, 32977, 100472, 16995, 100604, 31195, 106046, 100472, 105908, 121771, 98369, 57903, 79721, 29295, 5486, 66378, 20230, 17620, 107277, 126172, 16995, 109834, 103868, 102987, 16995, 114341, 104577, 116787, 17129, 39926, 5486, 101704, 21105, 114, 112586, 27384, 110095, 16144, 101682, 114341, 30046, 126130, 109169, 58942, 54926, 105908, 103082, 79721, 9174, 114341, 104599, 15682, 5486, 111344, 101557, 230, 122393, 38093, 103242, 70626, 102667, 105871, 104735, 248, 70626, 108008, 114731, 114341, 104599, 5486, 49409, 70349, 102667, 65854, 102351, 116891, 5486, 103005, 103932, 102667, 108008, 114731, 114341, 104599, 16144, 70277, 101701, 80866, 17161, 105408, 107898, 124730, 121256, 9174, 70277, 101701, 105408, 112212, 33541, 19732, 5486, 101734, 96, 13647, 227, 10110, 106644, 30297, 112371, 16995, 120732, 115552, 15682, 5486, 101734, 96, 5232, 25197, 103672, 11972, 105104, 124089, 10110, 118801, 7705, 102677, 118733, 5486, 30, 105871, 104735, 248, 20230, 108608, 31809, 30813, 26854, 32149, 28713, 109709, 5486, 30, 57980, 76622, 16995, 26854, 102944, 16556, 5486, 13647, 227, 5232, 104004, 36785, 11972, 112686, 112756, 30512, 46034, 54322, 17663, 5486, 30, 22957, 104369, 5486, 30, 104004, 36785, 5486, 30, 102535, 123, 113290, 10110, 104004, 22957, 67645, 16144, 7705, 102677, 118733, 5486, 66378, 20230, 30, 15682, 120267, 50928, 38144, 108086, 17129, 39926, 124563, 107188, 32149, 115552, 102987, 16995, 102944, 115991, 33541, 1811, 105408, 29295, 86127, 20230, 108112, 30813, 30369, 39850, 64178, 39880, 45923, 108744, 16144, 105324, 25666, 15682, 111199, 101734, 96, 27384, 101538, 10110, 91, 42, 25197, 103672, 27384, 101538, 7705, 116787, 5486, 114225, 20230, 70277, 101701, 105408, 103195, 19732, 17620, 107277, 33541, 109900, 108680, 16144, 5486, 863, 25197, 103672, 863, 114556, 39926, 90962, 38248, 121, 37823, 103906, 105321, 38641, 9174, 114341, 104577, 15682, 19, 34048, 20230, 17620, 76622, 102204, 5486, 35424, 25580, 126867, 30, 101734, 96, 13647, 227, 10110, 25197, 103672, 120732, 103429, 63212, 19732, 103429, 107328, 5486, 120761, 64889, 19732, 124140, 103283, 120761, 64889, 5486, 30, 71005, 109519, 110022, 105242, 30512, 5486, 35424, 123090, 30, 71005, 109519, 102208, 105242, 5486, 30, 64121, 101860, 16995, 109416, 10110, 108044, 108208, 34171, 122279, 103204, 101921, 104, 120732, 71005, 109519, 109853, 50338, 108323, 109768, 90620, 50834, 79721, 1811, 72238, 116366, 114420, 114341, 104577, 116787, 5486, 109095, 108710, 11883, 16144, 123570, 122913, 123570 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16144, 107693, 26854, 91077, 28190, 77181, 110371, 125456, 80805, 102514, 16073, 29295, 27384, 112495, 125173, 21388, 30512, 104394, 47884, 105572, 63212, 108176, 115789, 57903, 33541, 112004, 33035, 114731, 108968, 16325, 16144, 98184, 104398, 26854, 106084, 30926, 119627, 5486, 25580, 32977, 76947, 59739, 31431, 107804, 116825, 32149, 104127, 33334, 47884, 100909, 126636, 102769, 30813, 30512, 88356, 104736, 109375, 54926, 105908, 103082, 79721, 1811, 43444, 40053, 101701, 7705, 128001, 128000, 2, 108477, 108, 32977, 100927, 107290, 47884, 110615, 101734, 96, 13647, 227, 10110, 25197, 103672, 7705, 71005, 109519, 16144, 103350, 104983, 19732, 127880, 49792, 101908, 5486, 47260, 103223, 198, 80721, 222, 32938, 109519, 25333, 19732, 37087, 96356, 109519, 25333, 115408, 15682, 108895, 71005, 109519, 103792, 198, 47774, 114341, 104599, 110004, 101701, 80866, 17161, 120616, 21990, 10110, 111344, 101557, 230, 122393, 38093, 103242, 70626, 102667, 106057, 103204, 122412, 105871, 104735, 248, 70626, 115304, 40053, 114731, 114341, 104599, 5486, 43511, 23954, 29, 114341, 104599, 116718, 15682, 117896, 198, 11144, 64810, 101198, 118567, 107963, 31634, 112479, 101734, 96, 13647, 227, 10110, 16995, 109416, 119735, 5486, 57903, 105104, 103468, 116436, 111694, 38641, 1811, 105871, 104735, 248, 70626, 116749, 105352, 120268, 116581, 70626, 5486, 32943, 70626, 5486, 48915, 70626, 71289, 64531, 83799, 48915, 70626, 5486, 48915, 127122, 34048, 16144, 101734, 96, 13647, 227, 103195, 119522, 112465, 109713, 76428, 42634, 108941, 15682, 14888, 234, 126017, 32648, 70626, 71289, 106518, 122924, 17792, 70626, 16144, 105408, 24273, 29295, 120761, 110071, 115789, 127181, 106046, 61689, 9174, 101734, 96, 13647, 227, 10110, 16995, 109416, 119735, 5486, 105005, 53283, 16144, 30624, 47884, 5486, 120761, 64889, 15682, 119237, 119627, 109606, 15682, 58426, 71005, 109519, 38641, 1811, 110022, 38144, 16144, 121648, 98369, 20230, 15120, 103826, 20230, 104622, 106824, 19361, 126120, 19732, 78244, 105262, 101734, 96, 13647, 227, 71005, 109519, 25333, 15682, 124897, 1811, 121648, 98369, 121410, 20230, 71005, 109519, 25333, 30512, 121507, 78434, 29295, 5486, 34617, 113746, 71689, 106307, 107441, 43568, 126120, 16144, 107803, 5486, 106307, 23039, 120837, 19361, 126120, 20230, 108436, 101860, 30369, 109335, 83747, 100604, 105908, 53283, 124195, 61689, 115397, 24273, 5486, 71005, 109519, 25333, 30512, 122489, 56051, 108968, 79982, 20230, 71005, 23706, 240, 54926, 105908, 101182, 123017, 101734, 96, 13647, 227, 71005, 109519, 16144, 66378, 17599, 112, 38641, 1811, 109020, 103854, 47884, 43240, 119064, 71005, 109519, 25333, 30512, 108710, 50928, 54926, 109215, 107407, 105908, 17620, 107277, 33541, 29295, 5486, 101734, 96, 13647, 227, 71005, 109519, 16144, 43240, 47884, 15682, 53283, 109375, 121142, 103470, 103350, 104983, 109904, 112113, 10110, 22398, 62903, 33710, 120732, 105318, 107001, 91077, 32938, 109519, 25333, 38641, 1811, 105352, 26955, 246, 121140, 5486, 108710, 50928, 101513, 38093, 16144, 83747, 100604, 118288, 37271, 16144, 103242, 109519, 115517, 15682, 110993, 107436, 109606, 19732, 78244, 58942, 33541, 9174, 53900, 5486, 106142, 12870, 235, 109519, 25333, 122692, 106266, 102800, 101734, 120, 108631, 71289, 53610, 101734, 109, 115376, 104309, 5486, 71005, 109519, 25333, 113468, 15682, 59614, 102404, 107173, 78244, 105262, 106966, 113266, 29295, 5486, 29220, 44971, 103202, 16144, 113385, 108176, 115789, 57903, 33541, 1811, 114392, 26854, 76171, 108526, 103202, 45923, 109713, 64810, 52414, 30512, 50928, 38144, 23039, 30297, 109215, 115991, 5486, 33563, 117126, 109431, 106608, 48915, 71005, 109519, 25333, 16144, 127181, 101734, 96, 13647, 227, 71005, 109519, 77181, 5486, 66378, 20230, 104650, 37689, 17663, 125231, 109606, 38641, 9174, 22656, 103242, 109519, 112113, 64810, 101198, 118567, 77181, 5486, 106142, 12870, 235, 109519, 25333, 5486, 101721, 95221, 123307, 66285, 120, 25333, 71289, 44971, 38248, 114, 11972, 103858, 116, 107471, 123160, 48915, 70626, 9554, 71005, 109519, 25333, 16144, 102717, 32149, 5486, 76706, 34171, 25287, 91482, 47307, 101198, 16073, 35, 18, 122279, 104735, 237, 5486, 118953, 122258, 107908, 68408, 107461, 45923, 71289, 111661, 101335, 64178, 25333, 123160, 48915, 11883, 109519, 25333, 71289, 76739, 20251, 44971, 78459, 96452, 84477, 32943, 44309, 123160, 37087, 96356, 109519, 25333, 109853, 50520, 111, 43032, 78434, 29295, 5486, 71005, 109519, 53229, 22649, 71289, 46034, 83301, 121142, 103470, 5486, 109431, 106608, 71289, 66776, 109431, 106608, 5486, 106966, 113266, 71289, 76171, 108526, 103202, 45923, 109713, 64810, 52414, 16144, 103350, 104983, 109853, 32977, 118789, 112535, 43032, 103854, 33541, 54747, 108631, 47884, 100604, 101734, 96, 13647, 227, 71005, 109519, 25333, 10110, 66776, 48915, 70626, 9554, 71005, 109519, 25333, 7705, 863, 15682, 5486, 48915, 70626, 9554, 71005, 109519, 20230, 120988, 78183, 110104, 32943, 70626, 71289, 31809, 116581, 70626, 16144, 105408, 24273, 105352, 119237, 20230, 108608, 19361, 11883, 26854, 71005, 109519, 25333, 38641, 9174, 53900, 5486, 71005, 109519, 20230, 40265, 115926, 109215, 26854, 5486, 101734, 96, 13647, 227, 16144, 103429, 63212, 9458, 103429, 107328, 105242, 5486, 107079, 102701, 120761, 64889, 71289, 99959, 25005, 95, 118283, 107610, 30512, 11883, 102334, 120761, 64889, 5486, 65299, 90962, 101335, 39850, 5486, 47307, 47260, 71289, 92877, 17792, 34171, 101734, 96, 13647, 227, 123160, 124140, 103283, 116436, 111694, 93056, 18655, 30369, 863, 2118, 18655, 110104, 863, 16556, 105242, 106106, 16144, 115924, 119841, 108044, 108208, 34171, 122279, 103204, 101921, 104, 10110, 64121, 101860, 16995, 109416, 120732, 71005, 109519, 109853, 32977, 43032, 103854, 106956, 19732, 78698, 107290, 61689, 9174, 28194, 106, 76947, 48154, 110284, 72315, 9174, 58, 114341, 102446, 57326, 77750, 32131, 91062, 124001, 31634, 6079, 101, 933, 605, 5232, 410, 34363, 806, 5232, 410, 40, 13, 101734, 96, 13647, 227, 16144, 103429, 63212, 19732, 103429, 107328, 5486, 120761, 64889, 19732, 124140, 103283, 120761, 64889, 198, 71005, 109519, 20230, 40265, 115926, 36896, 116436, 111694, 16144, 103429, 63212, 9458, 103429, 107328, 30512, 37656, 106624, 113954, 39926, 33334, 47884, 100909, 66383, 13177, 37656, 105184, 26854, 120761, 64889, 29295, 108608, 100909, 66383, 15682, 117119, 105352, 17129, 39926, 107693, 26854, 100909, 38641, 1811, 6748, 53, 16144, 65299, 106696, 22398, 48864, 9554, 34171, 103397, 71289, 17620, 104770, 5486, 124118, 40053, 34171, 101734, 96, 13647, 227, 5486, 101198, 33710, 39850, 114741, 5486, 15355, 223, 50211, 101734, 96, 13647, 227, 5486, 119522, 112465, 109713, 76428, 42634, 108941, 71289, 103672, 38248, 101, 16073, 103826, 118801, 101734, 117, 111571, 123160, 106691, 9554, 103429, 25287, 109853, 37656, 106624, 120761, 64889, 108608, 104466, 78434, 1811, 103429, 25287, 112212, 71005, 109519, 13153, 116486, 29295, 108901, 109020, 105908, 17620, 126469, 37507, 38144, 108086, 107693, 38641, 1811, 118789, 9554, 102052, 5486, 107079, 102701, 120761, 64889, 71289, 99959, 108941, 118283, 93298, 120761, 64889, 19732, 55999, 20230, 5486, 165, 114, 237, 102701, 10110, 65299, 90962, 101335, 39850, 65459, 102832, 109482, 101921, 104, 10110, 47307, 47260, 65459, 92877, 17792, 34171, 101734, 96, 13647, 227, 71289, 19361, 77062, 246, 104398, 112506, 23706, 234, 50667, 102208, 104091, 105871, 104735, 248, 101921, 104, 114431, 235, 110792, 124140, 103283, 120761, 64889, 109853, 43032, 103854, 33541, 9174, 71005, 109519, 13153, 116486, 70141, 17905, 16144, 103846, 102052, 36896, 101734, 96, 13647, 227, 71005, 109519, 107118, 127091, 56040, 71005, 23706, 240, 20230, 106839, 47884, 103846, 102052, 117119, 29295, 26854, 84389, 123207, 16995, 124324, 104865, 10646, 71005, 109519, 53229, 22649, 30512, 37656, 106624, 113954, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 1811, 118899, 16144, 65299, 106696, 22398, 48864, 9554, 53283, 91774, 20230, 102867, 124949, 114146, 106272, 50338, 108323, 78434, 118855, 5486, 102208, 101734, 96, 13647, 227, 71005, 109519, 25333, 16144, 8428, 44, 16144, 102321, 103397, 109853, 5486, 127515, 105871, 104735, 248, 108396, 38093, 102472, 114265, 118372, 5486, 96830, 93702, 123213, 109861, 122692, 107624, 95001, 50667, 30512, 126362, 21105, 103, 29295, 33503, 50338, 108323, 78434, 9174, 106142, 12870, 235, 109519, 25333, 5486, 101721, 95221, 123307, 66285, 120, 25333, 5486, 44971, 38248, 114, 11972, 103858, 116, 107471, 25333, 116898, 109416, 21403, 98, 105557, 25333, 50667, 16144, 118656, 9554, 71005, 109519, 25333, 5486, 118953, 122258, 107908, 68408, 107461, 45923, 5486, 111661, 101335, 64178, 5486, 76739, 47307, 101335, 64178, 59657, 245, 52927, 25333, 50667, 16144, 116945, 9554, 71005, 109519, 25333, 5486, 44971, 78459, 101335, 114265, 32943, 44309, 5486, 76706, 34171, 25287, 91482, 47307, 101198, 16073, 35, 18, 5486, 44597, 82313, 71289, 91482, 99959, 32131, 91482, 16073, 122279, 104735, 237, 16144, 48915, 11883, 5486, 52884, 44971, 90962, 68759, 25197, 57207, 16073, 91077, 26130, 50667, 16144, 117434, 22649, 48864, 9554, 71005, 109519, 25333, 5486, 112673, 29220, 25197, 78683, 16073, 76739, 62903, 22398, 71289, 57207, 39850, 78459, 76428, 16073, 32943, 44309, 5486, 30177, 109835, 103048, 115075, 109519, 25333, 71289, 25197, 101198, 62903, 102494, 45923, 48915, 11883, 50667, 16144, 103048, 115075, 48864, 9554, 71005, 109519, 25333, 50667, 109853, 5486, 39850, 71493, 78683, 78525, 91062, 71289, 103350, 104983, 109904, 71005, 109519, 46034, 83301, 5486, 109431, 106608, 71289, 66776, 109431, 106608, 5486, 106966, 113266, 50667, 71005, 109519, 20230, 40265, 115926, 61633, 17663, 125231, 100909, 71289, 76171, 108526, 103202, 45923, 109713, 64810, 52414, 16144, 103350, 104983, 107294, 50834, 50338, 108323, 78434, 9174, 975, 5232, 966, 34363, 868, 5232, 410, 3166, 13, 64121, 101860, 16995, 109416, 10110, 108044, 108208, 34171, 122279, 103204, 101921, 104, 120732, 71005, 109519, 198, 64121, 101860, 16995, 109416, 16144, 113385, 103195, 108044, 108208, 34171, 122279, 103204, 101921, 104, 65299, 106696, 22398, 10110, 11865, 53, 120732, 65299, 106696, 22398, 48864, 107381, 105904, 5486, 11865, 53, 29295, 105811, 68379, 30512, 99750, 108208, 105888, 9554, 117408, 123160, 103429, 107328, 5486, 115075, 48864, 71289, 106691, 9554, 71005, 109519, 25333, 103195, 13177, 64121, 101860, 16995, 109416, 108167, 117503, 103350, 104983, 19732, 108631, 64121, 30512, 83747, 103470, 54926, 49792, 101908, 36896, 64121, 101860, 16995, 109416, 108167, 10646, 116749, 16144, 108631, 47884, 100604, 71005, 109519, 25333, 104309, 109853, 50338, 108323, 78434, 9174, 64810, 101198, 118567, 31634, 100990, 109, 198, 91, 64810, 101198, 118567, 9173, 627, 91, 9079, 198, 91, 87447, 113497, 9080, 198, 91, 679, 16, 8107, 605, 9953, 845, 9080, 220, 605, 25, 410, 56040, 868, 25, 410, 198, 91, 114341, 104599, 198, 91, 47774, 70277, 101701, 80866, 17161, 120616, 21990, 10110, 111344, 101557, 230, 122393, 38093, 103242, 70626, 102667, 106057, 103204, 122412, 105871, 104735, 248, 70626, 115304, 40053, 114731, 114341, 104599, 5486, 43511, 23954, 91, 120761, 109519, 70626, 30832, 198, 91, 108936, 126784, 39276, 198, 91, 78239, 121374, 198, 91, 20, 11, 2636, 35757, 10110, 38093, 102351, 121374, 14, 85188, 104526, 23954, 105721, 35287, 56051, 64810, 101198, 96452, 115247, 120270, 19732, 87447, 113497, 16144, 54872, 103826, 198, 47774, 605, 9953, 845, 9080, 10110, 9080, 7705, 20230, 87447, 113497, 121256, 30537, 9079, 18904, 103242, 109519, 112113, 64810, 101198, 118567, 13177, 112832, 32977, 100927, 107290, 47884, 110615, 101734, 96, 13647, 227, 10110, 25197, 103672, 7705, 71005, 109519, 16144, 103350, 104983, 19732, 127880, 49792, 101908, 5486, 47260, 103223, 34363, 91077, 32938, 109519, 25333, 19732, 37087, 96356, 109519, 25333, 115408, 15682, 108895, 71005, 109519, 103792, 10646, 15682, 109466, 38093, 118124, 20230, 105721, 35287, 121256, 9174, 114652, 115847, 103296, 20230, 5486, 72342, 42891, 32149, 119064, 58666, 17792, 113461, 107493, 5486, 105791, 126636, 30926, 26854, 105494, 20230, 25197, 103672, 115991, 5486, 32977, 100472, 16995, 100604, 31195, 106046, 100472, 105908, 121771, 98369, 57903, 79721, 29295, 5486, 66378, 20230, 17620, 107277, 126172, 16995, 109834, 103868, 102987, 16995, 114341, 104577, 116787, 17129, 39926, 5486, 101704, 21105, 114, 112586, 27384, 110095, 16144, 101682, 114341, 30046, 126130, 109169, 58942, 54926, 105908, 103082, 79721, 9174, 114341, 104599, 15682, 5486, 111344, 101557, 230, 122393, 38093, 103242, 70626, 102667, 105871, 104735, 248, 70626, 108008, 114731, 114341, 104599, 5486, 49409, 70349, 102667, 65854, 102351, 116891, 5486, 103005, 103932, 102667, 108008, 114731, 114341, 104599, 16144, 70277, 101701, 80866, 17161, 105408, 107898, 124730, 121256, 9174, 70277, 101701, 105408, 112212, 33541, 19732, 5486, 101734, 96, 13647, 227, 10110, 106644, 30297, 112371, 16995, 120732, 115552, 15682, 5486, 101734, 96, 5232, 25197, 103672, 11972, 105104, 124089, 10110, 118801, 7705, 102677, 118733, 5486, 30, 105871, 104735, 248, 20230, 108608, 31809, 30813, 26854, 32149, 28713, 109709, 5486, 30, 57980, 76622, 16995, 26854, 102944, 16556, 5486, 13647, 227, 5232, 104004, 36785, 11972, 112686, 112756, 30512, 46034, 54322, 17663, 5486, 30, 22957, 104369, 5486, 30, 104004, 36785, 5486, 30, 102535, 123, 113290, 10110, 104004, 22957, 67645, 16144, 7705, 102677, 118733, 5486, 66378, 20230, 30, 15682, 120267, 50928, 38144, 108086, 17129, 39926, 124563, 107188, 32149, 115552, 102987, 16995, 102944, 115991, 33541, 1811, 105408, 29295, 86127, 20230, 108112, 30813, 30369, 39850, 64178, 39880, 45923, 108744, 16144, 105324, 25666, 15682, 111199, 101734, 96, 27384, 101538, 10110, 91, 42, 25197, 103672, 27384, 101538, 7705, 116787, 5486, 114225, 20230, 70277, 101701, 105408, 103195, 19732, 17620, 107277, 33541, 109900, 108680, 16144, 5486, 863, 25197, 103672, 863, 114556, 39926, 90962, 38248, 121, 37823, 103906, 105321, 38641, 9174, 114341, 104577, 15682, 19, 34048, 20230, 17620, 76622, 102204, 5486, 35424, 25580, 126867, 30, 101734, 96, 13647, 227, 10110, 25197, 103672, 120732, 103429, 63212, 19732, 103429, 107328, 5486, 120761, 64889, 19732, 124140, 103283, 120761, 64889, 5486, 30, 71005, 109519, 110022, 105242, 30512, 5486, 35424, 123090, 30, 71005, 109519, 102208, 105242, 5486, 30, 64121, 101860, 16995, 109416, 10110, 108044, 108208, 34171, 122279, 103204, 101921, 104, 120732, 71005, 109519, 109853, 50338, 108323, 109768, 90620, 50834, 79721, 1811, 72238, 116366, 114420, 114341, 104577, 116787, 5486, 109095, 108710, 11883, 16144, 123570, 122913, 123570 ]
[ 32977, 111828, 30358, 26854, 102944, 115717, 79721, 9174, 103429, 63212, 109853, 15682, 5486, 17792, 20230, 99750, 108208, 54926, 107461, 20251, 80805, 70563, 42634, 108941, 65299, 106696, 22398, 10110, 6748, 53, 65459, 107461, 20251, 111528, 103892, 65299, 106696, 22398, 116787, 120268, 30813, 26854, 48915, 114218, 30512, 33035, 100204, 38144, 30177, 109835, 99750, 108208, 16556, 30297, 59739, 30369, 1811, 119100, 117656, 117232, 15682, 9039, 111299, 55031, 9039, 8107, 19732, 15120, 105260, 21105, 103, 16995, 1811, 115274, 18, 32149, 9953, 1811, 30297, 59739, 114598, 102321, 106824, 22957, 100604, 115789, 57903, 30297, 30369, 1811, 103429, 107328, 102052, 43240, 103826, 34171, 115991, 5486, 99750, 108208, 34048, 25129, 16144, 121953, 112212, 122678, 107918, 66201, 71289, 109161, 34171, 27479, 29295, 108901, 26854, 76947, 109749, 1811, 102404, 23706, 234, 113115, 120837, 126507, 112997, 29220, 25287, 71289, 42634, 111672, 115592, 25287, 107407, 5486, 110792, 100909, 1811, 103429, 107328, 103306, 15682, 5486, 124118, 40053, 34171, 101734, 96, 13647, 227, 5486, 101198, 33710, 39850, 114741, 5486, 39135, 72238, 34171, 101734, 96, 13647, 227, 10110, 121538, 25666, 26016, 47884, 85791, 16995, 109416, 65459, 28542, 103397, 101734, 96, 13647, 227, 5486, 15355, 223, 50211, 101734, 96, 13647, 227, 5486, 119522, 112465, 109713, 76428, 42634, 108941, 5486, 103672, 38248, 101, 16073, 103826, 118801, 101734, 117, 111571, 50667, 115991, 106116, 121953, 15682, 5486, 65299, 106696, 117718, 25287, 16144, 121953, 111848, 117840, 1811, 20834, 30369, 34048, 25129, 15682, 5486, 46034, 114666, 5486, 102780, 104792, 5486, 48915, 127122, 34048, 5486, 80988, 248, 34048, 9458, 33014, 116388, 5486, 105791, 28190, 9458, 103892, 34048, 50667, 122617, 20230, 1811, 101734, 96, 13647, 227, 16144, 120761, 64889, 122692, 66378, 17599, 112, 15682, 5486, 21403, 232, 104533, 28542, 103397, 20834, 104473, 29295, 120761, 102204, 104533, 107404, 20230, 5486, 165, 114, 237, 102701, 10110, 115371, 16144, 30832, 7705, 50667, 110792, 121953, 107407, 1811, 66378, 20230, 105791, 28190, 9458, 103892, 34048, 16144, 101734, 96, 13647, 227, 15682, 5486, 64467, 10110, 100853, 116, 7705, 103397, 101734, 96, 13647, 227, 15355, 223, 50211, 101734, 96, 13647, 227, 50667, 16556, 5486, 121496, 118487, 34171, 64936, 33208, 111571, 10110, 92877, 17792, 34171, 7705, 117084, 109749, 1811, 71689, 29295, 86127, 105352, 17620, 102518, 100909, 109900, 71689, 15682, 19732, 111243, 113954, 103082, 105823, 104127, 56051, 29295, 9174, 105284, 107750, 32977, 5486, 101828, 107969, 15024, 5486, 105408, 32977, 121602, 32149, 104028, 39607, 5486, 121771, 98369, 20834, 38144, 108086, 79721, 1811, 66378, 116882, 26854, 104468, 120268, 65316, 107404, 55031, 13177, 25197, 103672, 15682, 26854, 17663, 102802, 16144, 107139, 243, 16556, 22957, 112990, 18655, 104028, 31195, 19732, 33334, 81219, 30591, 108056, 50667, 20230, 103350, 104983, 20230, 22957, 17663, 114598, 33503, 100472, 106613, 111186, 107407, 24273, 29295, 43240, 118544, 106046, 61689, 29295, 121906, 56051, 70821, 56965, 109519, 25333, 105352, 15120, 22649, 57903, 5486, 104662, 39926, 66953, 71493, 102052, 118765, 31195, 102677, 100909, 103296, 20834, 79721, 9174, 66224, 34617, 101544, 106894, 102667, 117434, 48864, 34048, 124305, 101275, 198, 66115, 27113, 110653, 22656, 102667, 126784, 34048, 124305, 101275, 5486, 110653, 22656, 102667, 126784, 34048, 105871, 104735, 248, 70626, 101772, 23951, 103242, 198, 68093, 34617, 110653, 22656, 102667, 126784, 34048, 105871, 104735, 248, 70626, 114341, 104599, 198, 27113, 25963, 17161, 34048, 108396, 66870, 19000, 48915, 102473, 102351, 10110, 45923, 123082, 23706, 234, 102473, 120690, 23954, 27113, 60596, 110653, 22656, 102667, 102667, 94923, 126784, 117434, 48864, 102473, 34048, 105871, 104735, 248, 121432, 103429, 107328, 48864, 17620, 102212, 103129, 116891, 198, 27113, 66224, 42016, 103329, 116891, 10110, 31091, 122489, 112212, 23954, 27113, 66115, 29504, 80195, 102040, 16073, 113714, 109519, 113598, 32938, 6806, 28194, 226, 58666, 34208, 101426, 104674, 106966, 104674, 101544, 198, 78250, 111344, 101557, 230, 122393, 38093, 103242, 70626, 102667, 108008, 114731, 114341, 104599, 5486, 49409, 70349, 102667, 65854, 102351, 116891, 10110, 125702, 49988, 65459, 103005, 103932, 102667, 126784, 34048, 108008, 114731, 114341, 104599, 10110, 125702, 49988, 65459, 112599, 20230, 57237, 30369, 198, 104971, 102700, 102181, 9458, 55999, 102700, 83354, 198, 101734, 96, 13647, 227, 71005, 109519, 78698, 10110, 103242, 127480, 117434, 109898, 65459, 110589, 16144, 71005, 109519, 64467, 13393, 251, 10110, 126784, 102181, 94923, 65459, 105871, 104735, 248, 116436, 111694, 120761, 109519, 103350, 124299, 102472, 114265, 30537, 25963, 41401, 10110, 17161, 101426, 104509, 65459, 110589, 16144, 105871, 104735, 248, 116436, 111694, 71005, 109519, 64467, 13393, 251, 30537, 34617, 41401, 10110, 126784, 102181, 94923, 65459, 105871, 104735, 248, 99750, 108208, 111571, 16144, 122617, 34363, 127880, 71005, 109519, 16144, 47260, 103223, 10110, 59563, 70277, 104509, 65459, 114225, 20230, 107734, 80195, 59739, 9080, 40053, 120761, 109519, 122692, 127880, 49792, 101908, 10110, 37087, 102433, 109898, 38093, 65459, 65299, 106696, 22398, 34171, 105871, 104735, 248, 116436, 111694, 102040, 102860, 52884, 48552, 10110, 16325, 58911, 102181, 72516, 65459, 8428, 44, 105871, 104735, 248, 116436, 111694, 16144, 71005, 109519, 1049, 23, 34363, 1049, 24, 10110, 16325, 48915, 126784, 61337, 65459, 102321, 75267, 16144, 107750, 99397, 20230, 103899, 105262, 105871, 104735, 248, 103429, 71005, 109519, 117434, 48, 36121, 10110, 16325, 48915, 126784, 61337, 65459, 110770, 105871, 104735, 248, 108396, 27384, 39276, 10110, 16325, 58911, 102181, 72516, 65459, 105871, 104735, 248, 70626, 120761, 109519, 71493, 32131, 38248, 95, 20251, 112718, 27384, 39276, 10110, 114341, 111813, 61337, 65459, 105871, 104735, 248, 70626, 60868, 52884, 118347, 105988, 37823, 103906, 34363, 114971, 15120, 119752, 16556, 78183, 117295, 34171, 99750, 108208, 111571, 10110, 17161, 101426, 104509, 65459, 105871, 104735, 248, 116436, 111694, 110770, 16144, 71005, 109519, 679, 16, 34363, 679, 17, 10110, 59563, 70277, 104509, 65459, 105871, 104735, 248, 70626, 120761, 109519, 32335, 25580, 101911, 114971, 30297, 59739, 30369, 105871, 104735, 248, 103429, 10110, 39850, 103857, 115145, 108518, 109496, 61337, 65459, 122678, 107918, 120761, 64889, 20230, 107202, 35086, 233, 54926, 1041, 16144, 48915, 37507, 105871, 104735, 248, 116436, 111694, 34363, 104067, 114754, 108044, 107141, 54926, 122678, 107918, 120761, 64889, 111363, 33671, 112028, 46034, 15682, 198, 10110, 39850, 103857, 115145, 108518, 109496, 61337, 65459, 121648, 98369, 55031, 118959, 102802, 72342, 110071, 105871, 104735, 248, 116436, 111694, 1041, 16144, 105284, 99397, 34363, 104067, 116537, 104405, 103899, 58942, 120953, 117271, 54926, 32149, 10110, 39850, 103857, 115145, 108518, 109496, 61337, 65459, 38144, 22957, 101860, 30369, 48915, 37507, 105871, 104735, 248, 116436, 111694, 1041, 16144, 103359, 117120, 25333, 34363, 104067, 17792, 20230, 104655, 47884, 102012, 110993, 16144, 117120, 24273, 19732, 71005, 109519, 16144, 47260, 103223, 10110, 39850, 103857, 115145, 108518, 109496, 61337, 23954, 30591, 28713, 114420, 104575, 33563, 105298, 105871, 104735, 248, 70626, 68759, 118331, 107908, 10110, 120761, 64889, 19732, 71005, 109519, 61337, 7705, 128001, 128000, 567, 116561, 78459, 102832, 38248, 115, 78205, 16073, 198, 11087, 16144, 101682, 76622, 18655, 100472, 119526, 30512, 98499, 102189, 31431, 102181, 102334, 31431, 30297, 17129, 47884, 103082, 100934, 104468, 5486, 4518, 39850, 102741, 105404, 19732, 8144, 39850, 102741, 105404, 5486, 80539, 67645, 16144, 39850, 102741, 105404, 114792, 59739, 5486, 822, 48531, 5486, 822, 48938, 102083, 100472, 124773, 112694, 78349, 61398, 103195, 1811, 9848, 25472, 126130, 104482, 20230, 39135, 104680, 112727, 110615, 104466, 39850, 102494, 109768, 47884, 198, 567, 5027, 107118, 198, 16, 66953, 78983, 16144, 119318, 116310, 10110, 16, 55031, 3192, 7705, 30512, 21405, 17663, 119526, 25287, 9174, 11087, 78244, 102158, 77181, 5486, 104774, 106696, 117120, 22649, 103351, 31431, 5486, 115240, 103351, 31431, 5486, 37823, 29220, 76739, 71634, 103351, 31431, 39135, 104680, 26854, 28190, 16556, 198, 1318, 3867, 125334, 38144, 109749, 9174, 32977, 43514, 85791, 25827, 198, 928, 32977, 88435, 121159, 16556, 21405, 102321, 107001, 100909, 55031, 17, 66953, 78983, 103195, 105879, 5486, 9848, 25287, 16144, 22398, 102803, 22398, 103306, 21405, 102321, 107001, 109335, 127181, 9174, 1318, 3867, 19732, 198, 928, 16144, 104721, 109033, 15682, 17297, 61304, 16144, 121640, 198, 322, 3132, 9848, 1492, 925, 97718, 104721, 109033, 198, 496, 1703, 925, 10779, 9848, 340, 322, 925, 1492, 3132, 9848, 16144, 104721, 109033, 198, 65, 1703, 3132, 3867, 4293, 340, 51330, 104466, 3867, 25287, 16144, 22398, 102803, 22398, 15682, 118430, 20834, 16556, 112825, 110904, 20230, 198, 928, 20230, 104721, 109033, 108608, 113637, 3867, 25287, 16144, 22398, 102803, 22398, 30512, 39135, 104680, 112825, 110904, 20230, 41190, 108608, 105933, 80805, 26269, 102663, 78767, 29295, 9848, 80805, 26269, 102663, 78767, 108176, 1811, 50520, 111, 106624, 15682, 119695, 45923, 123283, 73590, 126229, 9174, 9848, 80805, 26269, 102663, 78767, 107809, 16556, 17, 59739, 103378, 25287, 29295, 107322, 78244, 110731, 43797, 25472, 25287, 19732, 11397, 25287, 103195, 118844, 30512, 64121, 100481, 47884, 198, 567, 5943, 25472, 107118, 198, 9848, 25472, 107118, 5486, 888, 39850, 102741, 105404, 19732, 5040, 39850, 102741, 105404, 114792, 59739, 31540, 104721, 115844, 16144, 66953, 78983, 66953, 26269, 104774, 11972, 38641, 1811, 116145, 104680, 33334, 30813, 110706, 109768, 50834, 33541, 1811, 7726, 107118, 108729, 9554, 102052, 5486, 119526, 30512, 15120, 39177, 112535, 61304, 125534, 54926, 116245, 16144, 106592, 78244, 61689, 1811, 26854, 105879, 58426, 15120, 39177, 47585, 108761, 103438, 30512, 98499, 102189, 31431, 112160, 39177, 108761, 103438, 20230, 102181, 102334, 31431, 54926, 105908, 108608, 113334, 38641, 9174, 322, 109228, 26269, 104774, 55031, 2963, 1319, 8, 115844, 17161, 30512, 98499, 64121, 108167, 79, 20230, 35083, 108446, 54926, 198, 1757, 1925, 198, 475, 2456, 71691, 702, 22629, 702, 340, 2900, 1925, 368, 341, 496, 1703, 330, 4513, 10961, 16474, 702, 12784, 12701, 1921, 340, 65, 17, 1703, 3132, 3867, 90, 15, 11, 220, 15, 534, 6034, 1703, 5943, 7267, 4187, 1921, 340, 7022, 1886, 1703, 6745, 6639, 1921, 17, 340, 333, 1886, 976, 2139, 341, 19621, 4052, 340, 534, 12784, 12701, 3693, 1921, 17, 1192, 103350, 23039, 112990, 717, 102677, 113702, 29295, 50928, 102204, 33541, 1811, 65, 17, 15682, 17, 118821, 108761, 103438, 30512, 23187, 104577, 126020, 108048, 29295, 17905, 102181, 50834, 107001, 123680, 91875, 117084, 61689, 115397, 24273, 8144, 120332, 15682, 111476, 322, 551, 26, 30512, 21405, 17663, 66953, 78983, 55487, 32218, 198, 65, 17, 1703, 3132, 3867, 90, 2970, 11, 220, 2946, 534, 7022, 1886, 1703, 6745, 4165, 1921, 17, 340, 322, 101961, 39177, 108761, 103438, 30512, 88435, 32218, 20230, 104721, 109033, 198, 12784, 12701, 10963, 6567, 2455, 17905, 61304, 16144, 57326, 77750, 32131, 91062, 16144, 103350, 23039, 113702, 103306, 15682, 111476, 4513, 10961, 16474, 25, 26, 29295, 50928, 102204, 33541, 1811, 65, 17, 20230, 23187, 104577, 107113, 44915, 29295, 5486, 3867, 25472, 16144, 123274, 108761, 103438, 20230, 122382, 21601, 58942, 102204, 5486, 88435, 32218, 104721, 109033, 126101, 123782, 20834, 48634, 117158, 38144, 50834, 33541, 9174, 114387, 112391, 16556, 9848, 25472, 25287, 15682, 126867, 119526, 30512, 31540, 104721, 101544, 103306, 110794, 5486, 17701, 48634, 103195, 66953, 78983, 16144, 22398, 102803, 22398, 113115, 39926, 5486, 98499, 64121, 121423, 113702, 30512, 17701, 104028, 4518, 39850, 102741, 105404, 19732, 22398, 102803, 117718, 44915, 30512, 102181, 50834, 104526, 104004, 8144, 39850, 102741, 105404, 115991, 5486, 55487, 32218, 16144, 115844, 104309, 113727, 101860, 20230, 41190, 88367, 115717, 33541, 1811, 116056, 4518, 39850, 102741, 105404, 19732, 8144, 39850, 102741, 105404, 114792, 59739, 102677, 100909, 5486, 59739, 109709, 111476, 822, 48531, 19732, 198, 822, 48938, 102677, 124773, 112694, 78349, 61398, 16556, 107740, 108608, 102677, 112973, 11087, 78244, 102158, 16556, 104195, 64121, 101983, 107462, 50834, 33541, 1811, 128001, 128000, 37271, 9953, 806, 9953, 914, 9080, 15682, 46091, 102687, 68171, 107859, 101908, 29295, 109988, 115737, 76947, 55031, 1135, 116358, 9080, 9174, 97518, 89046, 54926, 102181, 108847, 29295, 33671, 104680, 19732, 109898, 116216, 61689, 9174, 118116, 9080, 5486, 104575, 55031, 112454, 100472, 86127, 29295, 5486, 108064, 32977, 91774, 30369, 127949, 10110, 99849, 103351, 32149, 15682, 112854, 58942, 126386, 7705, 29295, 125338, 100604, 120266, 29295, 42891, 107277, 21105, 97, 59739, 32977, 112160, 107707, 27384, 114754, 13177, 111017, 113351, 37026, 108055, 118587, 56051, 100909, 111363, 127852, 107666, 19732, 58426, 111926, 16325, 120321, 30512, 116670, 64810, 33710, 30512, 124304, 100472, 110674, 91774, 101732, 61304, 125534, 115991, 33541, 9174, 46091, 102687, 114626, 16144, 106942, 44620, 119515, 104145, 240, 16144, 56235, 121359, 37087, 19, 119752, 7705, 30512, 101860, 104043, 74482, 117084, 98499, 102189, 39177, 5486, 114016, 17663, 48154, 16995, 19967, 46729, 103351, 105272, 19732, 108149, 16144, 13177, 111017, 113351, 37026, 108055, 117503, 25197, 126989, 29295, 124237, 124304, 47884, 84389, 79721, 9174, 110993, 107436, 106142, 106353, 26854, 116882, 105260, 5486, 106391, 13153, 102083, 16995, 53953, 102158, 103306, 16144, 61648, 27479, 19732, 58426, 113116, 102616, 20230, 121819, 105987, 84389, 79721, 9174, 66378, 20230, 5486, 114626, 16144, 13177, 36827, 17792, 76208, 13079, 108, 117503, 102971, 106968, 29295, 108901, 32977, 117952, 33121, 101860, 121819, 112959, 16556, 36896, 111017, 113351, 37026, 108055, 117503, 35818, 31431, 25827, 29295, 116414, 105352, 100604, 114318, 112391, 28713, 16144, 38641, 9174, 106942, 30512, 98499, 104004, 17129, 77181, 5486, 105321, 32149, 13177, 20834, 28713, 29295, 111331, 102099, 14167, 243, 20379, 111654, 16144, 104195, 16995, 17792, 116326, 120366, 105352, 20834, 102446, 5486, 36668, 104482, 104261, 32977, 104261, 100472, 7705, 102677, 25197, 126989, 29295, 61826, 23039, 39926, 108149, 16144, 37026, 108581, 104542, 113245, 58721, 32977, 116898, 78183, 106644, 30369, 80805, 108526, 108941, 107446, 9554, 31634, 72238, 122291, 16144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 32977, 111828, 30358, 26854, 102944, 115717, 79721, 9174, 103429, 63212, 109853, 15682, 5486, 17792, 20230, 99750, 108208, 54926, 107461, 20251, 80805, 70563, 42634, 108941, 65299, 106696, 22398, 10110, 6748, 53, 65459, 107461, 20251, 111528, 103892, 65299, 106696, 22398, 116787, 120268, 30813, 26854, 48915, 114218, 30512, 33035, 100204, 38144, 30177, 109835, 99750, 108208, 16556, 30297, 59739, 30369, 1811, 119100, 117656, 117232, 15682, 9039, 111299, 55031, 9039, 8107, 19732, 15120, 105260, 21105, 103, 16995, 1811, 115274, 18, 32149, 9953, 1811, 30297, 59739, 114598, 102321, 106824, 22957, 100604, 115789, 57903, 30297, 30369, 1811, 103429, 107328, 102052, 43240, 103826, 34171, 115991, 5486, 99750, 108208, 34048, 25129, 16144, 121953, 112212, 122678, 107918, 66201, 71289, 109161, 34171, 27479, 29295, 108901, 26854, 76947, 109749, 1811, 102404, 23706, 234, 113115, 120837, 126507, 112997, 29220, 25287, 71289, 42634, 111672, 115592, 25287, 107407, 5486, 110792, 100909, 1811, 103429, 107328, 103306, 15682, 5486, 124118, 40053, 34171, 101734, 96, 13647, 227, 5486, 101198, 33710, 39850, 114741, 5486, 39135, 72238, 34171, 101734, 96, 13647, 227, 10110, 121538, 25666, 26016, 47884, 85791, 16995, 109416, 65459, 28542, 103397, 101734, 96, 13647, 227, 5486, 15355, 223, 50211, 101734, 96, 13647, 227, 5486, 119522, 112465, 109713, 76428, 42634, 108941, 5486, 103672, 38248, 101, 16073, 103826, 118801, 101734, 117, 111571, 50667, 115991, 106116, 121953, 15682, 5486, 65299, 106696, 117718, 25287, 16144, 121953, 111848, 117840, 1811, 20834, 30369, 34048, 25129, 15682, 5486, 46034, 114666, 5486, 102780, 104792, 5486, 48915, 127122, 34048, 5486, 80988, 248, 34048, 9458, 33014, 116388, 5486, 105791, 28190, 9458, 103892, 34048, 50667, 122617, 20230, 1811, 101734, 96, 13647, 227, 16144, 120761, 64889, 122692, 66378, 17599, 112, 15682, 5486, 21403, 232, 104533, 28542, 103397, 20834, 104473, 29295, 120761, 102204, 104533, 107404, 20230, 5486, 165, 114, 237, 102701, 10110, 115371, 16144, 30832, 7705, 50667, 110792, 121953, 107407, 1811, 66378, 20230, 105791, 28190, 9458, 103892, 34048, 16144, 101734, 96, 13647, 227, 15682, 5486, 64467, 10110, 100853, 116, 7705, 103397, 101734, 96, 13647, 227, 15355, 223, 50211, 101734, 96, 13647, 227, 50667, 16556, 5486, 121496, 118487, 34171, 64936, 33208, 111571, 10110, 92877, 17792, 34171, 7705, 117084, 109749, 1811, 71689, 29295, 86127, 105352, 17620, 102518, 100909, 109900, 71689, 15682, 19732, 111243, 113954, 103082, 105823, 104127, 56051, 29295, 9174, 105284, 107750, 32977, 5486, 101828, 107969, 15024, 5486, 105408, 32977, 121602, 32149, 104028, 39607, 5486, 121771, 98369, 20834, 38144, 108086, 79721, 1811, 66378, 116882, 26854, 104468, 120268, 65316, 107404, 55031, 13177, 25197, 103672, 15682, 26854, 17663, 102802, 16144, 107139, 243, 16556, 22957, 112990, 18655, 104028, 31195, 19732, 33334, 81219, 30591, 108056, 50667, 20230, 103350, 104983, 20230, 22957, 17663, 114598, 33503, 100472, 106613, 111186, 107407, 24273, 29295, 43240, 118544, 106046, 61689, 29295, 121906, 56051, 70821, 56965, 109519, 25333, 105352, 15120, 22649, 57903, 5486, 104662, 39926, 66953, 71493, 102052, 118765, 31195, 102677, 100909, 103296, 20834, 79721, 9174, 66224, 34617, 101544, 106894, 102667, 117434, 48864, 34048, 124305, 101275, 198, 66115, 27113, 110653, 22656, 102667, 126784, 34048, 124305, 101275, 5486, 110653, 22656, 102667, 126784, 34048, 105871, 104735, 248, 70626, 101772, 23951, 103242, 198, 68093, 34617, 110653, 22656, 102667, 126784, 34048, 105871, 104735, 248, 70626, 114341, 104599, 198, 27113, 25963, 17161, 34048, 108396, 66870, 19000, 48915, 102473, 102351, 10110, 45923, 123082, 23706, 234, 102473, 120690, 23954, 27113, 60596, 110653, 22656, 102667, 102667, 94923, 126784, 117434, 48864, 102473, 34048, 105871, 104735, 248, 121432, 103429, 107328, 48864, 17620, 102212, 103129, 116891, 198, 27113, 66224, 42016, 103329, 116891, 10110, 31091, 122489, 112212, 23954, 27113, 66115, 29504, 80195, 102040, 16073, 113714, 109519, 113598, 32938, 6806, 28194, 226, 58666, 34208, 101426, 104674, 106966, 104674, 101544, 198, 78250, 111344, 101557, 230, 122393, 38093, 103242, 70626, 102667, 108008, 114731, 114341, 104599, 5486, 49409, 70349, 102667, 65854, 102351, 116891, 10110, 125702, 49988, 65459, 103005, 103932, 102667, 126784, 34048, 108008, 114731, 114341, 104599, 10110, 125702, 49988, 65459, 112599, 20230, 57237, 30369, 198, 104971, 102700, 102181, 9458, 55999, 102700, 83354, 198, 101734, 96, 13647, 227, 71005, 109519, 78698, 10110, 103242, 127480, 117434, 109898, 65459, 110589, 16144, 71005, 109519, 64467, 13393, 251, 10110, 126784, 102181, 94923, 65459, 105871, 104735, 248, 116436, 111694, 120761, 109519, 103350, 124299, 102472, 114265, 30537, 25963, 41401, 10110, 17161, 101426, 104509, 65459, 110589, 16144, 105871, 104735, 248, 116436, 111694, 71005, 109519, 64467, 13393, 251, 30537, 34617, 41401, 10110, 126784, 102181, 94923, 65459, 105871, 104735, 248, 99750, 108208, 111571, 16144, 122617, 34363, 127880, 71005, 109519, 16144, 47260, 103223, 10110, 59563, 70277, 104509, 65459, 114225, 20230, 107734, 80195, 59739, 9080, 40053, 120761, 109519, 122692, 127880, 49792, 101908, 10110, 37087, 102433, 109898, 38093, 65459, 65299, 106696, 22398, 34171, 105871, 104735, 248, 116436, 111694, 102040, 102860, 52884, 48552, 10110, 16325, 58911, 102181, 72516, 65459, 8428, 44, 105871, 104735, 248, 116436, 111694, 16144, 71005, 109519, 1049, 23, 34363, 1049, 24, 10110, 16325, 48915, 126784, 61337, 65459, 102321, 75267, 16144, 107750, 99397, 20230, 103899, 105262, 105871, 104735, 248, 103429, 71005, 109519, 117434, 48, 36121, 10110, 16325, 48915, 126784, 61337, 65459, 110770, 105871, 104735, 248, 108396, 27384, 39276, 10110, 16325, 58911, 102181, 72516, 65459, 105871, 104735, 248, 70626, 120761, 109519, 71493, 32131, 38248, 95, 20251, 112718, 27384, 39276, 10110, 114341, 111813, 61337, 65459, 105871, 104735, 248, 70626, 60868, 52884, 118347, 105988, 37823, 103906, 34363, 114971, 15120, 119752, 16556, 78183, 117295, 34171, 99750, 108208, 111571, 10110, 17161, 101426, 104509, 65459, 105871, 104735, 248, 116436, 111694, 110770, 16144, 71005, 109519, 679, 16, 34363, 679, 17, 10110, 59563, 70277, 104509, 65459, 105871, 104735, 248, 70626, 120761, 109519, 32335, 25580, 101911, 114971, 30297, 59739, 30369, 105871, 104735, 248, 103429, 10110, 39850, 103857, 115145, 108518, 109496, 61337, 65459, 122678, 107918, 120761, 64889, 20230, 107202, 35086, 233, 54926, 1041, 16144, 48915, 37507, 105871, 104735, 248, 116436, 111694, 34363, 104067, 114754, 108044, 107141, 54926, 122678, 107918, 120761, 64889, 111363, 33671, 112028, 46034, 15682, 198, 10110, 39850, 103857, 115145, 108518, 109496, 61337, 65459, 121648, 98369, 55031, 118959, 102802, 72342, 110071, 105871, 104735, 248, 116436, 111694, 1041, 16144, 105284, 99397, 34363, 104067, 116537, 104405, 103899, 58942, 120953, 117271, 54926, 32149, 10110, 39850, 103857, 115145, 108518, 109496, 61337, 65459, 38144, 22957, 101860, 30369, 48915, 37507, 105871, 104735, 248, 116436, 111694, 1041, 16144, 103359, 117120, 25333, 34363, 104067, 17792, 20230, 104655, 47884, 102012, 110993, 16144, 117120, 24273, 19732, 71005, 109519, 16144, 47260, 103223, 10110, 39850, 103857, 115145, 108518, 109496, 61337, 23954, 30591, 28713, 114420, 104575, 33563, 105298, 105871, 104735, 248, 70626, 68759, 118331, 107908, 10110, 120761, 64889, 19732, 71005, 109519, 61337, 7705, 128001, 128000, 567, 116561, 78459, 102832, 38248, 115, 78205, 16073, 198, 11087, 16144, 101682, 76622, 18655, 100472, 119526, 30512, 98499, 102189, 31431, 102181, 102334, 31431, 30297, 17129, 47884, 103082, 100934, 104468, 5486, 4518, 39850, 102741, 105404, 19732, 8144, 39850, 102741, 105404, 5486, 80539, 67645, 16144, 39850, 102741, 105404, 114792, 59739, 5486, 822, 48531, 5486, 822, 48938, 102083, 100472, 124773, 112694, 78349, 61398, 103195, 1811, 9848, 25472, 126130, 104482, 20230, 39135, 104680, 112727, 110615, 104466, 39850, 102494, 109768, 47884, 198, 567, 5027, 107118, 198, 16, 66953, 78983, 16144, 119318, 116310, 10110, 16, 55031, 3192, 7705, 30512, 21405, 17663, 119526, 25287, 9174, 11087, 78244, 102158, 77181, 5486, 104774, 106696, 117120, 22649, 103351, 31431, 5486, 115240, 103351, 31431, 5486, 37823, 29220, 76739, 71634, 103351, 31431, 39135, 104680, 26854, 28190, 16556, 198, 1318, 3867, 125334, 38144, 109749, 9174, 32977, 43514, 85791, 25827, 198, 928, 32977, 88435, 121159, 16556, 21405, 102321, 107001, 100909, 55031, 17, 66953, 78983, 103195, 105879, 5486, 9848, 25287, 16144, 22398, 102803, 22398, 103306, 21405, 102321, 107001, 109335, 127181, 9174, 1318, 3867, 19732, 198, 928, 16144, 104721, 109033, 15682, 17297, 61304, 16144, 121640, 198, 322, 3132, 9848, 1492, 925, 97718, 104721, 109033, 198, 496, 1703, 925, 10779, 9848, 340, 322, 925, 1492, 3132, 9848, 16144, 104721, 109033, 198, 65, 1703, 3132, 3867, 4293, 340, 51330, 104466, 3867, 25287, 16144, 22398, 102803, 22398, 15682, 118430, 20834, 16556, 112825, 110904, 20230, 198, 928, 20230, 104721, 109033, 108608, 113637, 3867, 25287, 16144, 22398, 102803, 22398, 30512, 39135, 104680, 112825, 110904, 20230, 41190, 108608, 105933, 80805, 26269, 102663, 78767, 29295, 9848, 80805, 26269, 102663, 78767, 108176, 1811, 50520, 111, 106624, 15682, 119695, 45923, 123283, 73590, 126229, 9174, 9848, 80805, 26269, 102663, 78767, 107809, 16556, 17, 59739, 103378, 25287, 29295, 107322, 78244, 110731, 43797, 25472, 25287, 19732, 11397, 25287, 103195, 118844, 30512, 64121, 100481, 47884, 198, 567, 5943, 25472, 107118, 198, 9848, 25472, 107118, 5486, 888, 39850, 102741, 105404, 19732, 5040, 39850, 102741, 105404, 114792, 59739, 31540, 104721, 115844, 16144, 66953, 78983, 66953, 26269, 104774, 11972, 38641, 1811, 116145, 104680, 33334, 30813, 110706, 109768, 50834, 33541, 1811, 7726, 107118, 108729, 9554, 102052, 5486, 119526, 30512, 15120, 39177, 112535, 61304, 125534, 54926, 116245, 16144, 106592, 78244, 61689, 1811, 26854, 105879, 58426, 15120, 39177, 47585, 108761, 103438, 30512, 98499, 102189, 31431, 112160, 39177, 108761, 103438, 20230, 102181, 102334, 31431, 54926, 105908, 108608, 113334, 38641, 9174, 322, 109228, 26269, 104774, 55031, 2963, 1319, 8, 115844, 17161, 30512, 98499, 64121, 108167, 79, 20230, 35083, 108446, 54926, 198, 1757, 1925, 198, 475, 2456, 71691, 702, 22629, 702, 340, 2900, 1925, 368, 341, 496, 1703, 330, 4513, 10961, 16474, 702, 12784, 12701, 1921, 340, 65, 17, 1703, 3132, 3867, 90, 15, 11, 220, 15, 534, 6034, 1703, 5943, 7267, 4187, 1921, 340, 7022, 1886, 1703, 6745, 6639, 1921, 17, 340, 333, 1886, 976, 2139, 341, 19621, 4052, 340, 534, 12784, 12701, 3693, 1921, 17, 1192, 103350, 23039, 112990, 717, 102677, 113702, 29295, 50928, 102204, 33541, 1811, 65, 17, 15682, 17, 118821, 108761, 103438, 30512, 23187, 104577, 126020, 108048, 29295, 17905, 102181, 50834, 107001, 123680, 91875, 117084, 61689, 115397, 24273, 8144, 120332, 15682, 111476, 322, 551, 26, 30512, 21405, 17663, 66953, 78983, 55487, 32218, 198, 65, 17, 1703, 3132, 3867, 90, 2970, 11, 220, 2946, 534, 7022, 1886, 1703, 6745, 4165, 1921, 17, 340, 322, 101961, 39177, 108761, 103438, 30512, 88435, 32218, 20230, 104721, 109033, 198, 12784, 12701, 10963, 6567, 2455, 17905, 61304, 16144, 57326, 77750, 32131, 91062, 16144, 103350, 23039, 113702, 103306, 15682, 111476, 4513, 10961, 16474, 25, 26, 29295, 50928, 102204, 33541, 1811, 65, 17, 20230, 23187, 104577, 107113, 44915, 29295, 5486, 3867, 25472, 16144, 123274, 108761, 103438, 20230, 122382, 21601, 58942, 102204, 5486, 88435, 32218, 104721, 109033, 126101, 123782, 20834, 48634, 117158, 38144, 50834, 33541, 9174, 114387, 112391, 16556, 9848, 25472, 25287, 15682, 126867, 119526, 30512, 31540, 104721, 101544, 103306, 110794, 5486, 17701, 48634, 103195, 66953, 78983, 16144, 22398, 102803, 22398, 113115, 39926, 5486, 98499, 64121, 121423, 113702, 30512, 17701, 104028, 4518, 39850, 102741, 105404, 19732, 22398, 102803, 117718, 44915, 30512, 102181, 50834, 104526, 104004, 8144, 39850, 102741, 105404, 115991, 5486, 55487, 32218, 16144, 115844, 104309, 113727, 101860, 20230, 41190, 88367, 115717, 33541, 1811, 116056, 4518, 39850, 102741, 105404, 19732, 8144, 39850, 102741, 105404, 114792, 59739, 102677, 100909, 5486, 59739, 109709, 111476, 822, 48531, 19732, 198, 822, 48938, 102677, 124773, 112694, 78349, 61398, 16556, 107740, 108608, 102677, 112973, 11087, 78244, 102158, 16556, 104195, 64121, 101983, 107462, 50834, 33541, 1811, 128001, 128000, 37271, 9953, 806, 9953, 914, 9080, 15682, 46091, 102687, 68171, 107859, 101908, 29295, 109988, 115737, 76947, 55031, 1135, 116358, 9080, 9174, 97518, 89046, 54926, 102181, 108847, 29295, 33671, 104680, 19732, 109898, 116216, 61689, 9174, 118116, 9080, 5486, 104575, 55031, 112454, 100472, 86127, 29295, 5486, 108064, 32977, 91774, 30369, 127949, 10110, 99849, 103351, 32149, 15682, 112854, 58942, 126386, 7705, 29295, 125338, 100604, 120266, 29295, 42891, 107277, 21105, 97, 59739, 32977, 112160, 107707, 27384, 114754, 13177, 111017, 113351, 37026, 108055, 118587, 56051, 100909, 111363, 127852, 107666, 19732, 58426, 111926, 16325, 120321, 30512, 116670, 64810, 33710, 30512, 124304, 100472, 110674, 91774, 101732, 61304, 125534, 115991, 33541, 9174, 46091, 102687, 114626, 16144, 106942, 44620, 119515, 104145, 240, 16144, 56235, 121359, 37087, 19, 119752, 7705, 30512, 101860, 104043, 74482, 117084, 98499, 102189, 39177, 5486, 114016, 17663, 48154, 16995, 19967, 46729, 103351, 105272, 19732, 108149, 16144, 13177, 111017, 113351, 37026, 108055, 117503, 25197, 126989, 29295, 124237, 124304, 47884, 84389, 79721, 9174, 110993, 107436, 106142, 106353, 26854, 116882, 105260, 5486, 106391, 13153, 102083, 16995, 53953, 102158, 103306, 16144, 61648, 27479, 19732, 58426, 113116, 102616, 20230, 121819, 105987, 84389, 79721, 9174, 66378, 20230, 5486, 114626, 16144, 13177, 36827, 17792, 76208, 13079, 108, 117503, 102971, 106968, 29295, 108901, 32977, 117952, 33121, 101860, 121819, 112959, 16556, 36896, 111017, 113351, 37026, 108055, 117503, 35818, 31431, 25827, 29295, 116414, 105352, 100604, 114318, 112391, 28713, 16144, 38641, 9174, 106942, 30512, 98499, 104004, 17129, 77181, 5486, 105321, 32149, 13177, 20834, 28713, 29295, 111331, 102099, 14167, 243, 20379, 111654, 16144, 104195, 16995, 17792, 116326, 120366, 105352, 20834, 102446, 5486, 36668, 104482, 104261, 32977, 104261, 100472, 7705, 102677, 25197, 126989, 29295, 61826, 23039, 39926, 108149, 16144, 37026, 108581, 104542, 113245, 58721, 32977, 116898, 78183, 106644, 30369, 80805, 108526, 108941, 107446, 9554, 31634, 72238, 122291, 16144 ]
[ 77181, 114318, 104284, 46034, 26854, 101067, 66201, 30512, 107113, 16144, 38641, 9174, 22656, 30512, 98499, 104127, 126328, 10110, 105321, 19732, 103470, 77181, 57903, 33541, 29295, 7705, 13177, 110993, 107436, 106142, 106353, 20230, 102433, 20230, 115924, 103192, 56051, 10646, 105272, 5486, 106046, 100472, 33671, 30537, 38641, 9174, 127091, 13177, 115364, 103892, 101171, 111, 118587, 51330, 102433, 20230, 21990, 32149, 17663, 110229, 120937, 5486, 102677, 105933, 89505, 89505, 198, 5926, 20, 8107, 21990, 123606, 103351, 46091, 102687, 68171, 107859, 101908, 15682, 5486, 17599, 112, 104443, 44416, 16556, 110298, 122845, 102667, 19000, 48864, 16325, 10110, 101778, 27384, 7705, 20230, 104443, 104542, 125030, 110071, 32977, 5486, 57942, 118, 116436, 111694, 38641, 104699, 20230, 21418, 104542, 9174, 102669, 74482, 58426, 105908, 103031, 16144, 47260, 108969, 44971, 107840, 110276, 19732, 117952, 33121, 100481, 38144, 106116, 74482, 5486, 111006, 30512, 112258, 249, 107290, 37026, 108581, 104542, 20230, 115541, 108710, 21990, 103306, 17701, 104542, 56051, 31431, 36896, 16555, 122, 16144, 38093, 118587, 102332, 80195, 56051, 111842, 13177, 65917, 119184, 9554, 10646, 101427, 122, 70141, 30512, 104195, 62004, 100481, 100472, 19732, 9174, 117475, 16144, 110229, 15682, 112832, 105352, 78183, 124403, 16144, 125743, 89505, 89505, 58246, 198, 115638, 16144, 47523, 17599, 112, 109904, 106084, 30926, 119012, 13177, 46091, 102687, 68171, 107859, 101908, 37026, 108055, 111329, 4468, 15, 8107, 18, 9953, 102052, 13177, 57980, 67645, 18476, 126507, 106901, 48552, 58721, 10646, 5486, 4468, 17, 116033, 118116, 13177, 109657, 56965, 58911, 76698, 246, 58721, 10646, 29295, 30591, 76947, 5486, 78659, 119184, 117401, 32977, 110226, 64063, 109768, 50834, 79721, 9174, 106718, 117401, 16144, 105721, 32016, 231, 19732, 58426, 123470, 90962, 106696, 102895, 48552, 114318, 86127, 126027, 101083, 31640, 20230, 117952, 103468, 13177, 46091, 43568, 121930, 116326, 43568, 95221, 48634, 9458, 43568, 97518, 64209, 9458, 43568, 113160, 49988, 7705, 29295, 125338, 50834, 38144, 5486, 50211, 34208, 19732, 78244, 116285, 50211, 34208, 26854, 113146, 20230, 106718, 113146, 30512, 37705, 100472, 105933, 116499, 78434, 9174, 110901, 118969, 58911, 76698, 246, 58721, 118587, 103496, 20230, 5486, 121930, 36785, 16144, 118729, 29295, 13177, 32149, 42891, 22957, 109161, 47884, 10646, 26854, 107462, 50834, 79721, 9174, 121930, 30512, 36668, 105714, 54926, 104468, 99959, 60868, 102518, 31431, 5486, 30358, 102518, 31431, 9174, 45829, 67645, 32977, 64209, 20230, 108149, 16144, 13177, 46091, 102687, 68171, 107859, 101908, 117503, 102446, 108323, 19732, 15120, 89046, 16144, 106084, 30926, 15682, 5486, 10110, 108895, 16995, 100472, 33503, 99849, 105321, 119627, 7705, 13177, 105321, 32149, 113764, 24615, 121, 99750, 10646, 107407, 19732, 112391, 79721, 9174, 37271, 91763, 30297, 19732, 115408, 105459, 101083, 31640, 15682, 111926, 16144, 127949, 104088, 38144, 5486, 111817, 102472, 30512, 98499, 104127, 5486, 72843, 105465, 112535, 123726, 30369, 106592, 110008, 103646, 13177, 119869, 16144, 10646, 101083, 31640, 103351, 105272, 119150, 16144, 38641, 9174, 106759, 105459, 101083, 31640, 15682, 102669, 106106, 33014, 111186, 15682, 30591, 114598, 5486, 109467, 102669, 106106, 120650, 100472, 101083, 31640, 126036, 120065, 17297, 16556, 36896, 105994, 105459, 117255, 67645, 32977, 113146, 30512, 115364, 45829, 67645, 32977, 102052, 107726, 121771, 100604, 66383, 95604, 37689, 109375, 29295, 30591, 76947, 5486, 80539, 106759, 105459, 32977, 105068, 122088, 99750, 32977, 103470, 126407, 109013, 59459, 30591, 108064, 15682, 102625, 102189, 110115, 5486, 105994, 30512, 123726, 108618, 100472, 50667, 16144, 33014, 111186, 120937, 105879, 23954, 102971, 91077, 124226, 102687, 68171, 107859, 101908, 101083, 31640, 16144, 10110, 19732, 106885, 76947, 114732, 7705, 13177, 123726, 101860, 33503, 30813, 10646, 15682, 17663, 16556, 20230, 40265, 39177, 113954, 84389, 100604, 110229, 20230, 37507, 101732, 105272, 119150, 16144, 38641, 9174, 80539, 119568, 15682, 10110, 46091, 102687, 22656, 107707, 114284, 15682, 103283, 103306, 7705, 86127, 105459, 20230, 13177, 105037, 236, 118587, 108618, 15024, 106116, 13177, 99397, 117503, 111108, 21105, 243, 113468, 5486, 74482, 101083, 20230, 123726, 106307, 105784, 45893, 30512, 102647, 102189, 104865, 110241, 33121, 107515, 1811, 128001, 128000, 91482, 47307, 124366, 105404, 34, 108768, 39880, 84477, 122842, 109753, 16556, 8239, 114503, 109904, 33655, 16995, 24273, 15682, 101182, 95532, 37271, 87177, 104482, 16144, 101662, 105811, 21403, 97, 36896, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 109753, 118587, 48154, 25359, 53283, 112130, 95532, 85701, 103296, 16144, 101662, 105811, 21403, 97, 116898, 58942, 5486, 91482, 47307, 101198, 16073, 117812, 127730, 47043, 16144, 40053, 109375, 30512, 47884, 59739, 29295, 58942, 17663, 17039, 47043, 126529, 38641, 9174, 37271, 18904, 15682, 5486, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 109753, 16144, 17663, 48154, 30813, 19732, 5486, 8239, 114503, 109904, 33655, 16995, 24273, 109853, 48154, 122984, 78434, 9174, 126843, 5486, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 47043, 15682, 5486, 108936, 112535, 122626, 110731, 101662, 105811, 21403, 97, 19732, 42016, 103826, 5486, 103892, 105871, 20230, 109467, 59657, 245, 52927, 39926, 38129, 78434, 9174, 66378, 17599, 112, 109904, 104468, 5486, 108768, 39880, 113390, 65299, 126567, 19732, 20251, 122842, 124981, 120770, 30512, 38129, 112772, 107960, 112371, 38144, 55031, 103892, 107294, 105784, 102677, 28542, 38641, 9174, 80673, 5486, 108010, 30297, 104468, 85701, 103378, 77181, 124897, 9174, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 112028, 87217, 16144, 66378, 17599, 112, 15682, 5486, 91482, 47307, 101198, 16073, 117812, 16144, 107743, 122393, 30512, 127258, 17663, 100909, 103470, 5486, 103892, 105871, 20230, 37705, 30369, 105908, 108608, 28542, 38641, 9174, 104405, 95604, 100909, 32149, 19732, 78244, 61689, 19732, 115847, 103296, 91482, 47307, 101198, 16073, 117812, 16144, 126120, 11883, 15682, 102616, 16325, 16556, 104736, 62004, 124195, 50834, 79721, 29295, 5486, 115963, 20230, 58426, 32977, 85791, 30813, 32977, 64467, 112419, 84389, 100481, 79721, 9174, 91482, 47307, 101198, 16073, 117812, 15682, 28713, 67016, 20230, 33014, 32943, 20230, 108167, 104526, 25827, 72661, 5486, 48915, 55031, 59657, 245, 114598, 8239, 114503, 15682, 105693, 16144, 119627, 5486, 123646, 116219, 26854, 110674, 16144, 91482, 47307, 101198, 16073, 117812, 15682, 120566, 45829, 29295, 119448, 47884, 5486, 114392, 20230, 33014, 20230, 108167, 104526, 104004, 105908, 103082, 105823, 104127, 56051, 9174, 80673, 5486, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 16144, 91482, 47307, 101198, 16073, 117812, 15682, 117119, 32977, 117041, 109768, 100604, 70563, 72369, 39880, 26854, 91482, 47307, 101198, 16073, 117812, 30512, 5486, 43568, 101513, 41920, 30358, 114050, 53610, 108602, 33208, 53953, 102677, 119389, 101198, 102750, 32131, 33710, 106391, 67178, 16556, 106154, 30369, 100909, 112212, 106116, 8239, 114503, 30512, 125173, 26854, 30297, 100909, 103470, 103892, 105871, 20230, 58318, 105262, 105908, 108608, 16144, 38641, 9174, 122401, 29504, 103195, 116137, 29504, 77181, 5486, 17663, 16556, 20230, 2721, 32307, 107707, 38129, 30046, 29295, 108086, 123085, 72661, 121642, 123434, 5486, 110770, 112113, 16144, 8239, 114503, 30512, 103350, 99750, 54926, 107707, 71174, 29295, 43240, 47884, 30591, 29295, 76947, 61689, 9174, 105811, 29295, 53900, 21990, 107290, 105898, 5486, 103223, 104930, 71289, 47260, 57207, 125334, 28713, 5486, 114225, 99695, 109933, 16073, 47260, 101983, 106358, 122615, 29295, 101860, 104043, 105104, 25827, 116547, 103792, 104309, 5486, 121771, 115867, 24273, 20230, 112624, 102780, 109768, 90620, 102532, 61689, 9174, 59657, 245, 30369, 103378, 72661, 8239, 114503, 115924, 27384, 16144, 101662, 105811, 21403, 97, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 119627, 5486, 105755, 8239, 114503, 109904, 33655, 16995, 24273, 107407, 105879, 48154, 126362, 78434, 9174, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 16144, 8239, 114503, 29295, 122060, 54926, 38129, 25333, 198, 9458, 114392, 26854, 113136, 120379, 82973, 30512, 105184, 33563, 54926, 5232, 101662, 105811, 20230, 103424, 105284, 26854, 113136, 120379, 15682, 59614, 116156, 9174, 67645, 103171, 20230, 112008, 106624, 111243, 109020, 103854, 47884, 1313, 39177, 56040, 15, 125344, 13153, 101544, 103927, 33710, 124373, 125334, 30369, 82973, 115351, 102052, 81258, 121120, 54926, 104466, 39926, 72315, 9174, 9458, 66953, 93488, 117718, 126521, 102456, 104654, 5232, 103892, 105871, 29295, 15308, 226, 113598, 30512, 32977, 33503, 30297, 118733, 101662, 105811, 107294, 105722, 30369, 104466, 5486, 33014, 55031, 15308, 226, 113598, 30512, 19732, 31431, 22957, 104004, 109335, 104398, 112506, 44971, 115882, 16556, 107693, 38641, 9174, 33014, 20230, 126521, 102944, 109860, 19732, 115598, 76947, 99046, 224, 18655, 54926, 16144, 126194, 5486, 109215, 26854, 15308, 226, 113598, 72238, 30512, 66953, 119930, 114652, 99046, 224, 30369, 104466, 64209, 29295, 76622, 17129, 109954, 9174, 9458, 109431, 27479, 26854, 117401, 5232, 102404, 105811, 9458, 101662, 105811, 20230, 27384, 30926, 26854, 104468, 104473, 16144, 89753, 33121, 38641, 9174, 104473, 89753, 30512, 114652, 54926, 118733, 5486, 102404, 105811, 15682, 113096, 84389, 33541, 9174, 109431, 27479, 26854, 117401, 30512, 15024, 121453, 118741, 31640, 118835, 30512, 113096, 103801, 109954, 9174, 9458, 106347, 250, 53901, 25446, 15682, 108680, 108680, 20230, 5232, 33334, 103882, 71289, 28713, 81219, 22957, 15682, 71634, 108744, 106222, 20230, 109215, 32149, 110241, 33121, 107515, 29295, 5486, 102404, 105811, 9458, 101662, 105811, 102052, 30591, 109709, 109215, 77181, 124897, 9174, 19732, 47884, 20230, 47307, 66953, 47260, 15682, 72342, 42891, 32149, 47884, 40526, 55031, 99046, 224, 18655, 56051, 91482, 47307, 101198, 16073, 71289, 101198, 102750, 32131, 33710, 30512, 105150, 127258, 39926, 103801, 61689, 9174, 33334, 103882, 32977, 108680, 108680, 20230, 9174, 47000, 105784, 103378, 72661, 103892, 105871, 20230, 115003, 231, 102800, 8239, 114503, 30512, 32977, 127567, 17663, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 9174, 52118, 91482, 47307, 124366, 105404, 34, 108768, 39880, 84477, 122842, 109753, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 16144, 50338, 104662, 105226, 198, 58426, 8239, 114503, 30512, 112366, 48249, 20230, 113801, 121406, 103846, 105352, 5486, 122270, 103892, 105871, 20230, 126521, 47260, 20251, 30512, 103350, 124299, 39926, 64121, 38144, 72315, 101832, 1811, 128001, 128000, 64936, 105284, 114050, 16144, 107734, 111017, 15682, 5486, 21980, 248, 33121, 9458, 104398, 115686, 104309, 29295, 33014, 32943, 109156, 30369, 16144, 30512, 103181, 104699, 66953, 104612, 16144, 107734, 111017, 30512, 127145, 1811, 64936, 105284, 114050, 16144, 66953, 104612, 121432, 15682, 53610, 17620, 16144, 96412, 19361, 33857, 16556, 104195, 117864, 31431, 5486, 112294, 117864, 31431, 54926, 16144, 38641, 9174, 827, 56055, 240, 105284, 114050, 16144, 53610, 17620, 33857, 198, 64936, 105284, 114050, 29295, 120870, 20230, 122502, 119188, 110018, 16144, 53610, 17620, 33857, 15682, 78250, 55031, 81191, 113127, 20230, 33563, 28713, 103468, 121894, 38641, 9174, 827, 56055, 240, 105284, 114050, 29295, 119455, 103809, 98, 198, 64936, 105284, 114050, 29295, 119455, 103809, 98, 20230, 101427, 122, 119188, 126513, 5486, 33563, 122539, 121432, 29295, 112294, 117864, 121894, 38641, 122262, 120044, 15682, 119455, 103809, 98, 39926, 120044, 118448, 33121, 121711, 66953, 104612, 121432, 103306, 15682, 112294, 17129, 103836, 121894, 38641, 9174, 827, 56055, 240, 105284, 114050, 29295, 53610, 17620, 103188, 43240, 198, 64936, 105284, 114050, 29295, 53610, 17620, 103188, 43240, 20230, 101427, 122, 119188, 107803, 5486, 110993, 79982, 26854, 27452, 103306, 15682, 108948, 104346, 17857, 224, 109156, 76947, 64467, 16144, 105871, 104735, 248, 29295, 105104, 71289, 107674, 121894, 38641, 113637, 107803, 32977, 15120, 39177, 112535, 66953, 104612, 121432, 29295, 103167, 17297, 15024, 5486, 53953, 105284, 29295, 27699, 116, 108950, 15024, 126172, 115737, 31431, 33541, 9174, 827, 106369, 104346, 17857, 224, 17905, 111331, 44597, 17620, 56965, 16144, 122756, 5486, 33563, 122539, 13153, 17620, 30512, 111983, 16995, 17129, 109954, 9174, 33334, 104346, 17857, 224, 17905, 111331, 80866, 162, 66391, 26854, 46034, 16144, 121894, 16556, 71289, 30813, 106624, 59657, 245, 76947, 17297, 65316, 9174, 15120, 39177, 112535, 103188, 21403, 108, 26854, 33563, 122539, 121894, 116825, 109749, 118733, 5486, 58666, 37729, 19361, 126120, 13153, 17620, 16144, 27699, 116, 108950, 34171, 29295, 45736, 109709, 33541, 9174, 17701, 118959, 74482, 15682, 106649, 82973, 16556, 33334, 120044, 16144, 53610, 17620, 29295, 110074, 102639, 38144, 114732, 16144, 38641, 9174, 13177, 17701, 118959, 74482, 44597, 17620, 23897, 32943, 10646, 29295, 30832, 51385, 38641, 9174, 827, 107023, 122, 103809, 98, 56051, 121894, 110276, 120044, 198, 119455, 103809, 98, 56051, 121894, 110276, 120044, 15682, 64810, 32131, 101198, 45923, 10110, 104398, 112506, 56965, 121496, 105284, 7705, 29295, 127242, 56051, 121894, 115717, 126172, 47884, 5486, 106135, 66953, 104612, 29295, 112294, 117864, 121894, 115717, 111476, 21980, 248, 33121, 9458, 104398, 115686, 123160, 117976, 17701, 30512, 110008, 17663, 121894, 104856, 76947, 103801, 61689, 1811, 21980, 248, 33121, 9458, 104398, 115686, 123160, 117375, 16556, 119653, 106644, 64121, 123160, 20251, 32131, 112193, 29295, 102404, 21990, 15024, 5486, 119653, 50834, 104004, 15024, 30369, 118733, 122270, 105068, 16325, 78683, 62903, 91482, 122561, 16144, 121894, 30512, 109161, 33208, 124545, 100909, 115717, 33541, 1811, 128001, 128000, 827, 220, 1049, 19, 8107, 16, 9953, 914, 9080, 45631, 30775, 104, 108881, 30512, 104087, 107290, 111329, 7, 33655, 107263, 78244, 23039, 108565, 220, 16, 5232, 16, 21909, 806, 340, 33655, 107263, 78244, 23039, 108565, 112798, 103892, 102052, 13177, 57933, 90962, 106384, 42634, 118969, 5486, 115406, 15682, 61826, 20230, 103983, 112959, 30512, 102700, 39926, 5486, 25197, 76739, 22398, 29295, 23039, 16995, 5486, 53900, 100927, 58942, 27704, 107436, 55031, 1981, 122617, 16144, 100909, 109853, 102181, 50834, 61304, 121256, 66383, 57903, 79721, 113637, 33655, 107263, 78244, 23039, 108565, 16144, 112772, 85701, 30512, 102181, 102334, 116537, 5486, 110577, 20230, 103983, 112959, 30512, 102181, 119188, 105879, 57903, 33541, 109807, 15120, 112959, 107118, 5486, 33710, 71493, 111848, 103005, 79785, 102181, 16144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 77181, 114318, 104284, 46034, 26854, 101067, 66201, 30512, 107113, 16144, 38641, 9174, 22656, 30512, 98499, 104127, 126328, 10110, 105321, 19732, 103470, 77181, 57903, 33541, 29295, 7705, 13177, 110993, 107436, 106142, 106353, 20230, 102433, 20230, 115924, 103192, 56051, 10646, 105272, 5486, 106046, 100472, 33671, 30537, 38641, 9174, 127091, 13177, 115364, 103892, 101171, 111, 118587, 51330, 102433, 20230, 21990, 32149, 17663, 110229, 120937, 5486, 102677, 105933, 89505, 89505, 198, 5926, 20, 8107, 21990, 123606, 103351, 46091, 102687, 68171, 107859, 101908, 15682, 5486, 17599, 112, 104443, 44416, 16556, 110298, 122845, 102667, 19000, 48864, 16325, 10110, 101778, 27384, 7705, 20230, 104443, 104542, 125030, 110071, 32977, 5486, 57942, 118, 116436, 111694, 38641, 104699, 20230, 21418, 104542, 9174, 102669, 74482, 58426, 105908, 103031, 16144, 47260, 108969, 44971, 107840, 110276, 19732, 117952, 33121, 100481, 38144, 106116, 74482, 5486, 111006, 30512, 112258, 249, 107290, 37026, 108581, 104542, 20230, 115541, 108710, 21990, 103306, 17701, 104542, 56051, 31431, 36896, 16555, 122, 16144, 38093, 118587, 102332, 80195, 56051, 111842, 13177, 65917, 119184, 9554, 10646, 101427, 122, 70141, 30512, 104195, 62004, 100481, 100472, 19732, 9174, 117475, 16144, 110229, 15682, 112832, 105352, 78183, 124403, 16144, 125743, 89505, 89505, 58246, 198, 115638, 16144, 47523, 17599, 112, 109904, 106084, 30926, 119012, 13177, 46091, 102687, 68171, 107859, 101908, 37026, 108055, 111329, 4468, 15, 8107, 18, 9953, 102052, 13177, 57980, 67645, 18476, 126507, 106901, 48552, 58721, 10646, 5486, 4468, 17, 116033, 118116, 13177, 109657, 56965, 58911, 76698, 246, 58721, 10646, 29295, 30591, 76947, 5486, 78659, 119184, 117401, 32977, 110226, 64063, 109768, 50834, 79721, 9174, 106718, 117401, 16144, 105721, 32016, 231, 19732, 58426, 123470, 90962, 106696, 102895, 48552, 114318, 86127, 126027, 101083, 31640, 20230, 117952, 103468, 13177, 46091, 43568, 121930, 116326, 43568, 95221, 48634, 9458, 43568, 97518, 64209, 9458, 43568, 113160, 49988, 7705, 29295, 125338, 50834, 38144, 5486, 50211, 34208, 19732, 78244, 116285, 50211, 34208, 26854, 113146, 20230, 106718, 113146, 30512, 37705, 100472, 105933, 116499, 78434, 9174, 110901, 118969, 58911, 76698, 246, 58721, 118587, 103496, 20230, 5486, 121930, 36785, 16144, 118729, 29295, 13177, 32149, 42891, 22957, 109161, 47884, 10646, 26854, 107462, 50834, 79721, 9174, 121930, 30512, 36668, 105714, 54926, 104468, 99959, 60868, 102518, 31431, 5486, 30358, 102518, 31431, 9174, 45829, 67645, 32977, 64209, 20230, 108149, 16144, 13177, 46091, 102687, 68171, 107859, 101908, 117503, 102446, 108323, 19732, 15120, 89046, 16144, 106084, 30926, 15682, 5486, 10110, 108895, 16995, 100472, 33503, 99849, 105321, 119627, 7705, 13177, 105321, 32149, 113764, 24615, 121, 99750, 10646, 107407, 19732, 112391, 79721, 9174, 37271, 91763, 30297, 19732, 115408, 105459, 101083, 31640, 15682, 111926, 16144, 127949, 104088, 38144, 5486, 111817, 102472, 30512, 98499, 104127, 5486, 72843, 105465, 112535, 123726, 30369, 106592, 110008, 103646, 13177, 119869, 16144, 10646, 101083, 31640, 103351, 105272, 119150, 16144, 38641, 9174, 106759, 105459, 101083, 31640, 15682, 102669, 106106, 33014, 111186, 15682, 30591, 114598, 5486, 109467, 102669, 106106, 120650, 100472, 101083, 31640, 126036, 120065, 17297, 16556, 36896, 105994, 105459, 117255, 67645, 32977, 113146, 30512, 115364, 45829, 67645, 32977, 102052, 107726, 121771, 100604, 66383, 95604, 37689, 109375, 29295, 30591, 76947, 5486, 80539, 106759, 105459, 32977, 105068, 122088, 99750, 32977, 103470, 126407, 109013, 59459, 30591, 108064, 15682, 102625, 102189, 110115, 5486, 105994, 30512, 123726, 108618, 100472, 50667, 16144, 33014, 111186, 120937, 105879, 23954, 102971, 91077, 124226, 102687, 68171, 107859, 101908, 101083, 31640, 16144, 10110, 19732, 106885, 76947, 114732, 7705, 13177, 123726, 101860, 33503, 30813, 10646, 15682, 17663, 16556, 20230, 40265, 39177, 113954, 84389, 100604, 110229, 20230, 37507, 101732, 105272, 119150, 16144, 38641, 9174, 80539, 119568, 15682, 10110, 46091, 102687, 22656, 107707, 114284, 15682, 103283, 103306, 7705, 86127, 105459, 20230, 13177, 105037, 236, 118587, 108618, 15024, 106116, 13177, 99397, 117503, 111108, 21105, 243, 113468, 5486, 74482, 101083, 20230, 123726, 106307, 105784, 45893, 30512, 102647, 102189, 104865, 110241, 33121, 107515, 1811, 128001, 128000, 91482, 47307, 124366, 105404, 34, 108768, 39880, 84477, 122842, 109753, 16556, 8239, 114503, 109904, 33655, 16995, 24273, 15682, 101182, 95532, 37271, 87177, 104482, 16144, 101662, 105811, 21403, 97, 36896, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 109753, 118587, 48154, 25359, 53283, 112130, 95532, 85701, 103296, 16144, 101662, 105811, 21403, 97, 116898, 58942, 5486, 91482, 47307, 101198, 16073, 117812, 127730, 47043, 16144, 40053, 109375, 30512, 47884, 59739, 29295, 58942, 17663, 17039, 47043, 126529, 38641, 9174, 37271, 18904, 15682, 5486, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 109753, 16144, 17663, 48154, 30813, 19732, 5486, 8239, 114503, 109904, 33655, 16995, 24273, 109853, 48154, 122984, 78434, 9174, 126843, 5486, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 47043, 15682, 5486, 108936, 112535, 122626, 110731, 101662, 105811, 21403, 97, 19732, 42016, 103826, 5486, 103892, 105871, 20230, 109467, 59657, 245, 52927, 39926, 38129, 78434, 9174, 66378, 17599, 112, 109904, 104468, 5486, 108768, 39880, 113390, 65299, 126567, 19732, 20251, 122842, 124981, 120770, 30512, 38129, 112772, 107960, 112371, 38144, 55031, 103892, 107294, 105784, 102677, 28542, 38641, 9174, 80673, 5486, 108010, 30297, 104468, 85701, 103378, 77181, 124897, 9174, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 112028, 87217, 16144, 66378, 17599, 112, 15682, 5486, 91482, 47307, 101198, 16073, 117812, 16144, 107743, 122393, 30512, 127258, 17663, 100909, 103470, 5486, 103892, 105871, 20230, 37705, 30369, 105908, 108608, 28542, 38641, 9174, 104405, 95604, 100909, 32149, 19732, 78244, 61689, 19732, 115847, 103296, 91482, 47307, 101198, 16073, 117812, 16144, 126120, 11883, 15682, 102616, 16325, 16556, 104736, 62004, 124195, 50834, 79721, 29295, 5486, 115963, 20230, 58426, 32977, 85791, 30813, 32977, 64467, 112419, 84389, 100481, 79721, 9174, 91482, 47307, 101198, 16073, 117812, 15682, 28713, 67016, 20230, 33014, 32943, 20230, 108167, 104526, 25827, 72661, 5486, 48915, 55031, 59657, 245, 114598, 8239, 114503, 15682, 105693, 16144, 119627, 5486, 123646, 116219, 26854, 110674, 16144, 91482, 47307, 101198, 16073, 117812, 15682, 120566, 45829, 29295, 119448, 47884, 5486, 114392, 20230, 33014, 20230, 108167, 104526, 104004, 105908, 103082, 105823, 104127, 56051, 9174, 80673, 5486, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 16144, 91482, 47307, 101198, 16073, 117812, 15682, 117119, 32977, 117041, 109768, 100604, 70563, 72369, 39880, 26854, 91482, 47307, 101198, 16073, 117812, 30512, 5486, 43568, 101513, 41920, 30358, 114050, 53610, 108602, 33208, 53953, 102677, 119389, 101198, 102750, 32131, 33710, 106391, 67178, 16556, 106154, 30369, 100909, 112212, 106116, 8239, 114503, 30512, 125173, 26854, 30297, 100909, 103470, 103892, 105871, 20230, 58318, 105262, 105908, 108608, 16144, 38641, 9174, 122401, 29504, 103195, 116137, 29504, 77181, 5486, 17663, 16556, 20230, 2721, 32307, 107707, 38129, 30046, 29295, 108086, 123085, 72661, 121642, 123434, 5486, 110770, 112113, 16144, 8239, 114503, 30512, 103350, 99750, 54926, 107707, 71174, 29295, 43240, 47884, 30591, 29295, 76947, 61689, 9174, 105811, 29295, 53900, 21990, 107290, 105898, 5486, 103223, 104930, 71289, 47260, 57207, 125334, 28713, 5486, 114225, 99695, 109933, 16073, 47260, 101983, 106358, 122615, 29295, 101860, 104043, 105104, 25827, 116547, 103792, 104309, 5486, 121771, 115867, 24273, 20230, 112624, 102780, 109768, 90620, 102532, 61689, 9174, 59657, 245, 30369, 103378, 72661, 8239, 114503, 115924, 27384, 16144, 101662, 105811, 21403, 97, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 119627, 5486, 105755, 8239, 114503, 109904, 33655, 16995, 24273, 107407, 105879, 48154, 126362, 78434, 9174, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 16144, 8239, 114503, 29295, 122060, 54926, 38129, 25333, 198, 9458, 114392, 26854, 113136, 120379, 82973, 30512, 105184, 33563, 54926, 5232, 101662, 105811, 20230, 103424, 105284, 26854, 113136, 120379, 15682, 59614, 116156, 9174, 67645, 103171, 20230, 112008, 106624, 111243, 109020, 103854, 47884, 1313, 39177, 56040, 15, 125344, 13153, 101544, 103927, 33710, 124373, 125334, 30369, 82973, 115351, 102052, 81258, 121120, 54926, 104466, 39926, 72315, 9174, 9458, 66953, 93488, 117718, 126521, 102456, 104654, 5232, 103892, 105871, 29295, 15308, 226, 113598, 30512, 32977, 33503, 30297, 118733, 101662, 105811, 107294, 105722, 30369, 104466, 5486, 33014, 55031, 15308, 226, 113598, 30512, 19732, 31431, 22957, 104004, 109335, 104398, 112506, 44971, 115882, 16556, 107693, 38641, 9174, 33014, 20230, 126521, 102944, 109860, 19732, 115598, 76947, 99046, 224, 18655, 54926, 16144, 126194, 5486, 109215, 26854, 15308, 226, 113598, 72238, 30512, 66953, 119930, 114652, 99046, 224, 30369, 104466, 64209, 29295, 76622, 17129, 109954, 9174, 9458, 109431, 27479, 26854, 117401, 5232, 102404, 105811, 9458, 101662, 105811, 20230, 27384, 30926, 26854, 104468, 104473, 16144, 89753, 33121, 38641, 9174, 104473, 89753, 30512, 114652, 54926, 118733, 5486, 102404, 105811, 15682, 113096, 84389, 33541, 9174, 109431, 27479, 26854, 117401, 30512, 15024, 121453, 118741, 31640, 118835, 30512, 113096, 103801, 109954, 9174, 9458, 106347, 250, 53901, 25446, 15682, 108680, 108680, 20230, 5232, 33334, 103882, 71289, 28713, 81219, 22957, 15682, 71634, 108744, 106222, 20230, 109215, 32149, 110241, 33121, 107515, 29295, 5486, 102404, 105811, 9458, 101662, 105811, 102052, 30591, 109709, 109215, 77181, 124897, 9174, 19732, 47884, 20230, 47307, 66953, 47260, 15682, 72342, 42891, 32149, 47884, 40526, 55031, 99046, 224, 18655, 56051, 91482, 47307, 101198, 16073, 71289, 101198, 102750, 32131, 33710, 30512, 105150, 127258, 39926, 103801, 61689, 9174, 33334, 103882, 32977, 108680, 108680, 20230, 9174, 47000, 105784, 103378, 72661, 103892, 105871, 20230, 115003, 231, 102800, 8239, 114503, 30512, 32977, 127567, 17663, 91482, 47307, 124366, 105404, 117812, 108768, 39880, 84477, 122842, 9174, 52118, 91482, 47307, 124366, 105404, 34, 108768, 39880, 84477, 122842, 109753, 16144, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 16144, 50338, 104662, 105226, 198, 58426, 8239, 114503, 30512, 112366, 48249, 20230, 113801, 121406, 103846, 105352, 5486, 122270, 103892, 105871, 20230, 126521, 47260, 20251, 30512, 103350, 124299, 39926, 64121, 38144, 72315, 101832, 1811, 128001, 128000, 64936, 105284, 114050, 16144, 107734, 111017, 15682, 5486, 21980, 248, 33121, 9458, 104398, 115686, 104309, 29295, 33014, 32943, 109156, 30369, 16144, 30512, 103181, 104699, 66953, 104612, 16144, 107734, 111017, 30512, 127145, 1811, 64936, 105284, 114050, 16144, 66953, 104612, 121432, 15682, 53610, 17620, 16144, 96412, 19361, 33857, 16556, 104195, 117864, 31431, 5486, 112294, 117864, 31431, 54926, 16144, 38641, 9174, 827, 56055, 240, 105284, 114050, 16144, 53610, 17620, 33857, 198, 64936, 105284, 114050, 29295, 120870, 20230, 122502, 119188, 110018, 16144, 53610, 17620, 33857, 15682, 78250, 55031, 81191, 113127, 20230, 33563, 28713, 103468, 121894, 38641, 9174, 827, 56055, 240, 105284, 114050, 29295, 119455, 103809, 98, 198, 64936, 105284, 114050, 29295, 119455, 103809, 98, 20230, 101427, 122, 119188, 126513, 5486, 33563, 122539, 121432, 29295, 112294, 117864, 121894, 38641, 122262, 120044, 15682, 119455, 103809, 98, 39926, 120044, 118448, 33121, 121711, 66953, 104612, 121432, 103306, 15682, 112294, 17129, 103836, 121894, 38641, 9174, 827, 56055, 240, 105284, 114050, 29295, 53610, 17620, 103188, 43240, 198, 64936, 105284, 114050, 29295, 53610, 17620, 103188, 43240, 20230, 101427, 122, 119188, 107803, 5486, 110993, 79982, 26854, 27452, 103306, 15682, 108948, 104346, 17857, 224, 109156, 76947, 64467, 16144, 105871, 104735, 248, 29295, 105104, 71289, 107674, 121894, 38641, 113637, 107803, 32977, 15120, 39177, 112535, 66953, 104612, 121432, 29295, 103167, 17297, 15024, 5486, 53953, 105284, 29295, 27699, 116, 108950, 15024, 126172, 115737, 31431, 33541, 9174, 827, 106369, 104346, 17857, 224, 17905, 111331, 44597, 17620, 56965, 16144, 122756, 5486, 33563, 122539, 13153, 17620, 30512, 111983, 16995, 17129, 109954, 9174, 33334, 104346, 17857, 224, 17905, 111331, 80866, 162, 66391, 26854, 46034, 16144, 121894, 16556, 71289, 30813, 106624, 59657, 245, 76947, 17297, 65316, 9174, 15120, 39177, 112535, 103188, 21403, 108, 26854, 33563, 122539, 121894, 116825, 109749, 118733, 5486, 58666, 37729, 19361, 126120, 13153, 17620, 16144, 27699, 116, 108950, 34171, 29295, 45736, 109709, 33541, 9174, 17701, 118959, 74482, 15682, 106649, 82973, 16556, 33334, 120044, 16144, 53610, 17620, 29295, 110074, 102639, 38144, 114732, 16144, 38641, 9174, 13177, 17701, 118959, 74482, 44597, 17620, 23897, 32943, 10646, 29295, 30832, 51385, 38641, 9174, 827, 107023, 122, 103809, 98, 56051, 121894, 110276, 120044, 198, 119455, 103809, 98, 56051, 121894, 110276, 120044, 15682, 64810, 32131, 101198, 45923, 10110, 104398, 112506, 56965, 121496, 105284, 7705, 29295, 127242, 56051, 121894, 115717, 126172, 47884, 5486, 106135, 66953, 104612, 29295, 112294, 117864, 121894, 115717, 111476, 21980, 248, 33121, 9458, 104398, 115686, 123160, 117976, 17701, 30512, 110008, 17663, 121894, 104856, 76947, 103801, 61689, 1811, 21980, 248, 33121, 9458, 104398, 115686, 123160, 117375, 16556, 119653, 106644, 64121, 123160, 20251, 32131, 112193, 29295, 102404, 21990, 15024, 5486, 119653, 50834, 104004, 15024, 30369, 118733, 122270, 105068, 16325, 78683, 62903, 91482, 122561, 16144, 121894, 30512, 109161, 33208, 124545, 100909, 115717, 33541, 1811, 128001, 128000, 827, 220, 1049, 19, 8107, 16, 9953, 914, 9080, 45631, 30775, 104, 108881, 30512, 104087, 107290, 111329, 7, 33655, 107263, 78244, 23039, 108565, 220, 16, 5232, 16, 21909, 806, 340, 33655, 107263, 78244, 23039, 108565, 112798, 103892, 102052, 13177, 57933, 90962, 106384, 42634, 118969, 5486, 115406, 15682, 61826, 20230, 103983, 112959, 30512, 102700, 39926, 5486, 25197, 76739, 22398, 29295, 23039, 16995, 5486, 53900, 100927, 58942, 27704, 107436, 55031, 1981, 122617, 16144, 100909, 109853, 102181, 50834, 61304, 121256, 66383, 57903, 79721, 113637, 33655, 107263, 78244, 23039, 108565, 16144, 112772, 85701, 30512, 102181, 102334, 116537, 5486, 110577, 20230, 103983, 112959, 30512, 102181, 119188, 105879, 57903, 33541, 109807, 15120, 112959, 107118, 5486, 33710, 71493, 111848, 103005, 79785, 102181, 16144 ]
[ 100909, 38641, 1811, 33710, 71493, 103005, 79785, 102181, 19732, 33655, 107263, 78244, 23039, 108565, 15682, 5486, 106307, 50834, 53953, 115287, 19732, 117952, 115032, 16144, 38641, 1811, 110924, 16556, 114284, 118158, 16995, 104468, 115408, 127282, 85701, 103296, 5486, 33710, 71493, 77181, 124897, 29295, 5486, 112361, 103005, 79785, 102181, 120456, 33710, 47260, 30512, 98499, 64121, 105721, 107800, 110229, 36785, 102677, 100909, 38641, 109807, 68759, 33710, 47260, 103005, 79785, 102181, 112028, 87217, 114626, 15682, 108895, 95604, 53953, 102158, 115287, 16144, 30512, 112854, 107290, 33334, 110071, 105879, 109954, 32149, 1811, 103856, 103293, 5486, 25197, 76739, 22398, 103826, 112197, 124652, 20230, 50520, 96, 16556, 28713, 111482, 127282, 5486, 124652, 102465, 29295, 108436, 29295, 103836, 16144, 104088, 126268, 79721, 1811, 121602, 102532, 5486, 124652, 107809, 109156, 104533, 13177, 101828, 16995, 101544, 16995, 105060, 118587, 100815, 28713, 105268, 30046, 29295, 103605, 76947, 102532, 5486, 36668, 29295, 109095, 76706, 103646, 106592, 58655, 102639, 28713, 16144, 38641, 109900, 30512, 104655, 102532, 5486, 111482, 127282, 124652, 30512, 20834, 38144, 110074, 102639, 86436, 100472, 66327, 110441, 58942, 115442, 31431, 5486, 37656, 95221, 30512, 21388, 106358, 124845, 5486, 36785, 33121, 105352, 99849, 32977, 117952, 104435, 1811, 109755, 85791, 67016, 100472, 55031, 103195, 115204, 10110, 68759, 33710, 47260, 845, 5232, 23, 75376, 85701, 16556, 5486, 105721, 78183, 100472, 16144, 38641, 66327, 58942, 115847, 16556, 105721, 116547, 91006, 102677, 112391, 111769, 123253, 32149, 1811, 102131, 127303, 104984, 115408, 127282, 99397, 30297, 123253, 66327, 27929, 33503, 55031, 104405, 26854, 100472, 16144, 112130, 66383, 1811, 17129, 30813, 20230, 77693, 20230, 103899, 58942, 101200, 103306, 110371, 33655, 107263, 78244, 23039, 108565, 15682, 102181, 32149, 103468, 19732, 119852, 57980, 16995, 66327, 85701, 29295, 106307, 50834, 38641, 66383, 109900, 15682, 85707, 31640, 16144, 33655, 107263, 5486, 108044, 45893, 112919, 61304, 108565, 38641, 1811, 87447, 119619, 108044, 45893, 16144, 104412, 16144, 53953, 102158, 38641, 109900, 29295, 51330, 17039, 103664, 110776, 102181, 16144, 53953, 102158, 16144, 106135, 112959, 117282, 124845, 51330, 17039, 103664, 110776, 102181, 16144, 119049, 45893, 15682, 115408, 105459, 124911, 21990, 19732, 30358, 109020, 16144, 111769, 123253, 32149, 1811, 86127, 105459, 32977, 36668, 25197, 76739, 22398, 19732, 20834, 38093, 16995, 79721, 1811, 20834, 38093, 100472, 55031, 110382, 20230, 107991, 16144, 38641, 109900, 29295, 103983, 112959, 102677, 100909, 111769, 123253, 32149, 109807, 15120, 112959, 16144, 114626, 20230, 68759, 33710, 47260, 15682, 13177, 111482, 127282, 110074, 102639, 86436, 100472, 1811, 109755, 85791, 67016, 100472, 55031, 103195, 66383, 102181, 102532, 101182, 16144, 38641, 1811, 110382, 55031, 104940, 102802, 112442, 104127, 108044, 45893, 117158, 102404, 56051, 107118, 102181, 32149, 33121, 126386, 109900, 67645, 107404, 32149, 13177, 36785, 33121, 105352, 99849, 32977, 117952, 104435, 115204, 19732, 102181, 102532, 101182, 1811, 25197, 76739, 22398, 103826, 16144, 106592, 53283, 103836, 20230, 112160, 106608, 5486, 109095, 76706, 16144, 30926, 103350, 32977, 104655, 102334, 110115, 5486, 112832, 105352, 99849, 32977, 117952, 104435, 1811, 108044, 45893, 30512, 21105, 103, 102518, 118844, 15682, 86127, 105459, 105352, 114284, 40265, 28713, 30369, 120208, 126529, 111769, 123253, 32149, 9174, 127880, 104503, 16144, 101161, 105, 118273, 15682, 118288, 8107, 107795, 5486, 104500, 111338, 100927, 38093, 16556, 23039, 123671, 79721, 109807, 101161, 105, 118273, 16144, 39177, 5486, 65743, 29430, 30512, 39926, 17297, 30813, 100472, 45144, 222, 118785, 104599, 15682, 5486, 17129, 30813, 20230, 13177, 101828, 16995, 101544, 16995, 105060, 10646, 5486, 101828, 16995, 102472, 115691, 30512, 123011, 76947, 101161, 105, 118273, 30512, 65743, 76947, 17297, 30813, 100472, 118844, 15682, 51330, 109095, 76706, 30512, 58655, 102639, 28713, 13177, 105268, 112919, 105060, 118587, 58426, 110674, 21405, 102321, 103792, 16144, 111769, 123253, 32149, 1811, 99849, 104604, 101161, 105, 118273, 16144, 39177, 5486, 100927, 38093, 77181, 111199, 16995, 105060, 16556, 103470, 101828, 16995, 105060, 10110, 102433, 16144, 108710, 101557, 96, 77181, 32335, 32977, 105189, 71289, 107188, 116366, 33121, 100815, 16144, 39135, 38641, 7705, 30512, 100815, 30369, 104865, 5486, 22649, 23602, 230, 77181, 114652, 17620, 117295, 1811, 72661, 5486, 104503, 16144, 115514, 33014, 16144, 101427, 235, 33503, 20230, 80195, 59739, 58426, 30832, 105352, 27280, 102, 102800, 13177, 101828, 10646, 16995, 65743, 29430, 112919, 110783, 30512, 16995, 126910, 91774, 111243, 5486, 102625, 16144, 116292, 21105, 123, 15682, 26955, 255, 78183, 110615, 109807, 101828, 16995, 105060, 16144, 118785, 104599, 125001, 126910, 13177, 109095, 76706, 16144, 110526, 118587, 100927, 107290, 17297, 30813, 114598, 116898, 126910, 110901, 112568, 112197, 104503, 117940, 108031, 110382, 102052, 33334, 102204, 100604, 1811, 102625, 16144, 121143, 102802, 107809, 102052, 16995, 100604, 66383, 48249, 31431, 103470, 111828, 16995, 108323, 100927, 30512, 30297, 32149, 29295, 114598, 106116, 101161, 105, 118273, 16144, 105350, 16556, 115408, 15682, 45144, 222, 105408, 19732, 103359, 102867, 112535, 89151, 42891, 111199, 26854, 105068, 108285, 30512, 100815, 38144, 5486, 89151, 42891, 111199, 26854, 102750, 29220, 107507, 30512, 126233, 107436, 5486, 64209, 32977, 53900, 89151, 42891, 109163, 26854, 110674, 31809, 30813, 115737, 76947, 38093, 123378, 105350, 20230, 103605, 103836, 1811, 115303, 31431, 109416, 120240, 16556, 56051, 1811, 104940, 102802, 15682, 114715, 32977, 85300, 100, 102532, 22957, 100604, 1811, 112832, 105352, 87177, 56051, 47884, 100604, 1811, 112832, 105352, 38093, 102334, 47884, 100604, 1811, 116414, 105352, 20834, 121771, 100604, 1811, 108416, 45829, 105459, 29295, 13177, 105994, 126027, 107991, 46729, 16144, 109076, 20230, 112258, 113, 119707, 107441, 116326, 112673, 102040, 102750, 508, 5232, 777, 7705, 119962, 100204, 22957, 32977, 100472, 104466, 124845, 13177, 112832, 105352, 99849, 32977, 117952, 104435, 115204, 108044, 45893, 30046, 116787, 106272, 5486, 110924, 20230, 99849, 16144, 110322, 15024, 32977, 21990, 123606, 15682, 104435, 109900, 16556, 33334, 106548, 107875, 16995, 1811, 68759, 33710, 47260, 103005, 79785, 102181, 121960, 51330, 35894, 16144, 124652, 104088, 28713, 111482, 105459, 32977, 102131, 103351, 16144, 38641, 1811, 101828, 16995, 105060, 30512, 118322, 40265, 28713, 112586, 21105, 103, 29295, 33503, 5486, 112185, 51330, 111482, 105459, 102052, 127091, 29295, 124490, 76622, 101732, 1811, 17129, 39926, 71208, 108416, 124863, 122270, 104328, 67645, 102518, 19732, 117952, 123207, 105110, 100604, 1811, 103031, 33503, 15682, 5486, 119869, 30591, 103171, 20230, 107969, 102518, 110115, 5486, 109088, 29504, 29295, 124284, 33503, 115408, 105459, 127105, 65917, 27384, 113524, 5486, 78659, 27384, 113524, 116446, 17297, 65316, 5486, 104309, 19732, 40526, 64936, 122939, 30512, 107850, 81219, 107113, 110115, 5486, 36668, 29295, 95598, 19113, 107145, 107294, 32149, 104028, 25580, 105352, 30297, 116414, 32149, 102416, 110074, 102639, 38144, 114604, 1811, 103983, 112959, 9458, 103005, 79785, 102181, 16144, 105721, 78183, 111331, 119400, 15682, 5486, 116414, 105352, 91774, 40265, 28713, 110104, 9174, 36668, 25197, 76739, 22398, 15682, 32149, 59739, 38144, 117952, 33121, 79721, 66327, 115406, 16144, 85701, 120577, 112690, 30512, 104655, 47884, 121142, 23039, 78183, 100604, 30046, 15682, 112073, 5486, 120843, 120938, 20230, 46729, 30512, 26892, 38144, 28713, 31374, 248, 107188, 17792, 20230, 104409, 100934, 1811, 103067, 101, 29295, 104989, 31431, 5486, 101701, 29295, 30591, 105104, 33121, 5486, 104346, 29295, 114408, 102532, 58426, 46729, 20230, 124364, 118544, 32149, 104533, 5486, 105987, 106824, 106116, 105987, 33121, 24273, 29295, 104328, 67645, 102518, 116326, 68759, 107507, 22, 5232, 1627, 21909, 1544, 123505, 71208, 108416, 45829, 32977, 5486, 36668, 25197, 76739, 22398, 55031, 100927, 58942, 114475, 76622, 100481, 106272, 5486, 112185, 127091, 29295, 124490, 76622, 101732, 1811, 74090, 55038, 29295, 124490, 76622, 101732, 118844, 120577, 109335, 86348, 103983, 112959, 20230, 102181, 32149, 33121, 101732, 100909, 38641, 1811, 20648, 222, 102800, 58850, 108416, 45829, 5486, 40474, 124324, 71208, 108416, 121240, 53953, 102158, 16556, 105721, 78183, 103836, 1811, 86127, 105459, 124911, 21990, 15682, 104405, 123253, 32149, 1811, 86127, 105459, 32977, 53900, 83747, 103470, 111243, 103983, 112959, 30832, 20230, 40265, 28713, 30369, 17792, 21990, 15682, 85701, 103296, 105564, 25827, 103082, 28713, 16144, 111769, 123253, 32149, 113637, 16325, 102052, 108914, 107591, 114475, 107674, 30046, 29295, 43240, 47884, 33334, 102204, 33541, 1811, 86127, 32977, 58426, 122485, 38641, 109900, 15682, 5486, 36668, 25197, 76739, 22398, 19732, 20834, 38093, 100472, 55031, 20230, 121953, 124897, 109807, 15120, 112959, 30832, 16556, 5486, 78256, 223, 104599, 115287, 99695, 20251, 42634, 127282, 5486, 36668, 16144, 13177, 115406, 109853, 37507, 26854, 65316, 1811, 114516, 30512, 19732, 30369, 78256, 223, 104599, 20230, 119607, 116326, 68759, 107507, 19, 5232, 777, 7705, 110792, 104394, 50834, 20230, 106608, 58942, 5486, 74245, 104699, 107969, 115737, 76947, 108044, 45893, 16144, 104412, 30512, 27704, 109013, 19732, 102181, 102532, 101182, 1811, 86127, 32977, 108914, 107591, 114475, 107674, 125344, 111006, 16144, 80699, 102867, 31431, 30512, 37271, 72661, 112854, 107290, 30369, 1811, 67016, 21105, 251, 33121, 15682, 106135, 112959, 118322, 59739, 109709, 33655, 107263, 78244, 23039, 108565, 16144, 102616, 107118, 116414, 32149, 108010, 100472, 16144, 38641, 1811, 115519, 29295, 16423, 78183, 107462, 104435, 16144, 38641, 1811, 74090, 55038, 119703, 16144, 38641, 1811, 108044, 45893, 16144, 104412, 15682, 44971, 106901, 11972, 107118, 108901, 109020, 1811, 108064, 32977, 105465, 102800, 102944, 111769, 1811, 104004, 15024, 85791, 107707, 30832, 102052, 99849, 29295, 28190, 101828, 47884, 38144, 30591, 103171, 106592, 103792, 120900, 19732, 29245, 251, 110071, 105933, 105908, 127181, 9174, 102465, 103932, 91779, 99, 15120, 118785, 104599, 15682, 108895, 102181, 50834, 79721, 9174, 13177, 71289, 104984, 109134, 108680, 118124, 30832, 117158, 38144, 5486, 122270, 115924, 103192, 9554, 101983, 107462, 47884, 106613, 111186, 30512, 5486, 108044, 45893, 17663, 118733, 112391, 28713, 116537, 111338, 58911, 107991, 1811, 8239, 112, 122502, 54926, 100909, 105110, 112160, 9080, 123529, 30512, 89753, 39926, 122502, 76622, 81219, 108048, 26854, 112586, 110382, 17129, 103082, 28713, 102677, 13153, 28873, 30512, 64121, 30369, 105908, 101182, 119520, 5486, 108044, 45893, 15682, 5486, 67645, 103171, 20230, 107202, 8239, 112, 15024, 5486, 55228, 230, 31431, 5486, 64209, 30512, 22957, 62004, 101732, 103306, 32977, 5486, 102717, 25827, 16144, 120065, 72661, 107707, 64209, 30512, 101365, 121254, 105784, 105908, 106084, 101860, 5486, 37087, 38144, 35894, 106624, 105721, 78183, 76947, 114732, 105908, 127181, 1811, 108044, 45893, 15682, 5486, 115364, 56051, 100909, 5486, 78698, 107800, 106592, 122282, 127564, 57326, 112718, 108176, 102944, 15682, 99849, 32977, 20834, 38144, 22957, 100604, 1811, 111329, 85707, 31640, 100927, 38093, 112366, 16144, 108044, 45893, 30046, 80805, 65299, 42634, 15682, 120267, 79721, 9174, 13177, 111108, 106670, 56051, 105908, 46091, 27479, 115397, 11881, 120, 103309, 56235, 17905, 20230, 125210, 100472, 115789, 57903, 79721, 1811, 21105, 108, 21105, 108, 104412, 30512, 15024, 5486, 101701, 16144, 111108, 5486, 123010, 83812, 232, 16144, 111108, 5486, 42016, 112506, 117758, 111108, 5486, 108901, 109861, 17792, 117758, 111108, 5486, 102865, 113245, 111108, 5486, 118448, 33121, 102212, 113245, 111108, 5486, 56235, 17905, 16144, 111108, 5486, 49691, 121, 16144, 127857, 105459, 117758, 111108, 20230, 114876, 16995, 5486, 107202, 8239, 112, 15024, 5486, 110135, 108881, 76947, 5486, 21105, 108, 21105, 108, 120379, 121140, 20230, 103188, 48154, 15024, 5486, 72406, 95, 58942, 35086, 229, 50834, 5486, 21105, 108, 21105, 108, 125764, 101860, 107898, 31431, 5486, 117759, 30813, 20230, 12870, 235, 58942, 5486, 70892, 116, 16556, 102334, 115789, 57903, 79721, 113637, 102717, 32149, 105352, 112185, 101182, 29295, 106116, 17905, 20230, 5486, 9080, 104680, 115406, 20230, 117598, 30369, 71289, 42891, 121867, 30926, 108149, 33503, 106644, 30369, 100927, 38093, 109853, 16144, 64209, 55487, 30926, 115991, 33541, 116326, 47260, 37823, 52414, 41920, 806, 5232, 914, 21909, 1591, 123505, 80673, 102465, 103932, 105408, 15682, 5486, 33655, 107263, 80805, 65299, 42634, 15682, 67645, 103171, 107202, 111108, 20230, 30591, 114598, 5486, 103983, 112959, 118322, 108416, 45829, 105459, 119775, 5486, 108044, 45893, 30512, 82533, 62004, 105823, 104127, 56051, 1811, 80805, 65299, 42634, 15682, 53508, 100, 109013, 66327, 108064, 32977, 104940, 102802, 26854, 65316, 10646, 66327, 40053, 20230, 104940, 102802, 26854, 65316, 1811, 30358, 101832, 38144, 78244, 61689, 29295, 104940, 102802, 26854, 65316, 1811, 67645, 103171, 100909, 72661, 114284, 101851, 102, 30297, 104468, 71289, 62004, 26854, 65316, 1811, 99849, 30926, 107294, 76622, 5486, 99750, 118835, 30512, 104526, 107436, 55228, 230, 31431, 26854, 65316, 116326, 106384, 37823, 70563, 19, 5232, 19, 21909, 20, 65459, 102131, 42016, 8239, 112, 30046, 30512, 119680, 17129, 15024, 106307, 76622, 79721, 1811, 105994, 116907, 20230, 102158, 31431, 32149, 105784, 104466, 1811, 103031, 20230, 51330, 108044, 45893, 19732, 100927, 38093, 123079, 16144, 107202, 21105, 123, 20230, 113420, 58942, 124545, 102944, 15682, 99849, 103351, 105879, 109954, 32149, 113637, 17905, 26854, 50834, 104195, 21688, 109, 26854, 113116, 48634, 123253, 32149, 109807, 74482, 127862, 103633, 116358, 122756, 102321, 103468, 67645, 16144, 101365, 48864, 30046, 30512, 32977, 122062, 102147, 243, 54926, 103892, 101171, 111, 123253, 32149, 1811, 37689, 30590, 123253, 32149, 1811, 102131, 77181, 124897, 1811, 64209, 29295, 124500, 100472, 16144, 38641, 1811, 117145, 20230, 17039, 28713, 20230, 127091, 29295, 17701, 76947, 124284, 16144, 38641, 115397, 112959, 30832, 72661, 108416, 45829, 127282, 105184, 111201, 18904, 64209, 30512, 106613, 111186, 56051, 124845, 25197, 76739, 22398, 103826, 20230, 123532, 100472, 1811, 67016, 21105, 251, 16144, 39177, 119568, 33503, 15682, 99849, 32977, 53283, 110104, 16144, 38641, 1811, 108044, 45893, 16144, 116292, 21105, 123, 30512, 5486, 100927, 38093, 30512, 26892, 125655, 100909, 16144, 30358, 111600, 30512, 117119, 32977, 53283, 110104, 16144, 38641, 1811, 103031, 33503, 15682, 105994, 105459, 29295, 107322, 103854, 108044, 105262, 62903, 124766, 29295, 5486, 67645, 103171, 20230, 101083, 56965, 55031, 101682, 76622, 125639 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 100909, 38641, 1811, 33710, 71493, 103005, 79785, 102181, 19732, 33655, 107263, 78244, 23039, 108565, 15682, 5486, 106307, 50834, 53953, 115287, 19732, 117952, 115032, 16144, 38641, 1811, 110924, 16556, 114284, 118158, 16995, 104468, 115408, 127282, 85701, 103296, 5486, 33710, 71493, 77181, 124897, 29295, 5486, 112361, 103005, 79785, 102181, 120456, 33710, 47260, 30512, 98499, 64121, 105721, 107800, 110229, 36785, 102677, 100909, 38641, 109807, 68759, 33710, 47260, 103005, 79785, 102181, 112028, 87217, 114626, 15682, 108895, 95604, 53953, 102158, 115287, 16144, 30512, 112854, 107290, 33334, 110071, 105879, 109954, 32149, 1811, 103856, 103293, 5486, 25197, 76739, 22398, 103826, 112197, 124652, 20230, 50520, 96, 16556, 28713, 111482, 127282, 5486, 124652, 102465, 29295, 108436, 29295, 103836, 16144, 104088, 126268, 79721, 1811, 121602, 102532, 5486, 124652, 107809, 109156, 104533, 13177, 101828, 16995, 101544, 16995, 105060, 118587, 100815, 28713, 105268, 30046, 29295, 103605, 76947, 102532, 5486, 36668, 29295, 109095, 76706, 103646, 106592, 58655, 102639, 28713, 16144, 38641, 109900, 30512, 104655, 102532, 5486, 111482, 127282, 124652, 30512, 20834, 38144, 110074, 102639, 86436, 100472, 66327, 110441, 58942, 115442, 31431, 5486, 37656, 95221, 30512, 21388, 106358, 124845, 5486, 36785, 33121, 105352, 99849, 32977, 117952, 104435, 1811, 109755, 85791, 67016, 100472, 55031, 103195, 115204, 10110, 68759, 33710, 47260, 845, 5232, 23, 75376, 85701, 16556, 5486, 105721, 78183, 100472, 16144, 38641, 66327, 58942, 115847, 16556, 105721, 116547, 91006, 102677, 112391, 111769, 123253, 32149, 1811, 102131, 127303, 104984, 115408, 127282, 99397, 30297, 123253, 66327, 27929, 33503, 55031, 104405, 26854, 100472, 16144, 112130, 66383, 1811, 17129, 30813, 20230, 77693, 20230, 103899, 58942, 101200, 103306, 110371, 33655, 107263, 78244, 23039, 108565, 15682, 102181, 32149, 103468, 19732, 119852, 57980, 16995, 66327, 85701, 29295, 106307, 50834, 38641, 66383, 109900, 15682, 85707, 31640, 16144, 33655, 107263, 5486, 108044, 45893, 112919, 61304, 108565, 38641, 1811, 87447, 119619, 108044, 45893, 16144, 104412, 16144, 53953, 102158, 38641, 109900, 29295, 51330, 17039, 103664, 110776, 102181, 16144, 53953, 102158, 16144, 106135, 112959, 117282, 124845, 51330, 17039, 103664, 110776, 102181, 16144, 119049, 45893, 15682, 115408, 105459, 124911, 21990, 19732, 30358, 109020, 16144, 111769, 123253, 32149, 1811, 86127, 105459, 32977, 36668, 25197, 76739, 22398, 19732, 20834, 38093, 16995, 79721, 1811, 20834, 38093, 100472, 55031, 110382, 20230, 107991, 16144, 38641, 109900, 29295, 103983, 112959, 102677, 100909, 111769, 123253, 32149, 109807, 15120, 112959, 16144, 114626, 20230, 68759, 33710, 47260, 15682, 13177, 111482, 127282, 110074, 102639, 86436, 100472, 1811, 109755, 85791, 67016, 100472, 55031, 103195, 66383, 102181, 102532, 101182, 16144, 38641, 1811, 110382, 55031, 104940, 102802, 112442, 104127, 108044, 45893, 117158, 102404, 56051, 107118, 102181, 32149, 33121, 126386, 109900, 67645, 107404, 32149, 13177, 36785, 33121, 105352, 99849, 32977, 117952, 104435, 115204, 19732, 102181, 102532, 101182, 1811, 25197, 76739, 22398, 103826, 16144, 106592, 53283, 103836, 20230, 112160, 106608, 5486, 109095, 76706, 16144, 30926, 103350, 32977, 104655, 102334, 110115, 5486, 112832, 105352, 99849, 32977, 117952, 104435, 1811, 108044, 45893, 30512, 21105, 103, 102518, 118844, 15682, 86127, 105459, 105352, 114284, 40265, 28713, 30369, 120208, 126529, 111769, 123253, 32149, 9174, 127880, 104503, 16144, 101161, 105, 118273, 15682, 118288, 8107, 107795, 5486, 104500, 111338, 100927, 38093, 16556, 23039, 123671, 79721, 109807, 101161, 105, 118273, 16144, 39177, 5486, 65743, 29430, 30512, 39926, 17297, 30813, 100472, 45144, 222, 118785, 104599, 15682, 5486, 17129, 30813, 20230, 13177, 101828, 16995, 101544, 16995, 105060, 10646, 5486, 101828, 16995, 102472, 115691, 30512, 123011, 76947, 101161, 105, 118273, 30512, 65743, 76947, 17297, 30813, 100472, 118844, 15682, 51330, 109095, 76706, 30512, 58655, 102639, 28713, 13177, 105268, 112919, 105060, 118587, 58426, 110674, 21405, 102321, 103792, 16144, 111769, 123253, 32149, 1811, 99849, 104604, 101161, 105, 118273, 16144, 39177, 5486, 100927, 38093, 77181, 111199, 16995, 105060, 16556, 103470, 101828, 16995, 105060, 10110, 102433, 16144, 108710, 101557, 96, 77181, 32335, 32977, 105189, 71289, 107188, 116366, 33121, 100815, 16144, 39135, 38641, 7705, 30512, 100815, 30369, 104865, 5486, 22649, 23602, 230, 77181, 114652, 17620, 117295, 1811, 72661, 5486, 104503, 16144, 115514, 33014, 16144, 101427, 235, 33503, 20230, 80195, 59739, 58426, 30832, 105352, 27280, 102, 102800, 13177, 101828, 10646, 16995, 65743, 29430, 112919, 110783, 30512, 16995, 126910, 91774, 111243, 5486, 102625, 16144, 116292, 21105, 123, 15682, 26955, 255, 78183, 110615, 109807, 101828, 16995, 105060, 16144, 118785, 104599, 125001, 126910, 13177, 109095, 76706, 16144, 110526, 118587, 100927, 107290, 17297, 30813, 114598, 116898, 126910, 110901, 112568, 112197, 104503, 117940, 108031, 110382, 102052, 33334, 102204, 100604, 1811, 102625, 16144, 121143, 102802, 107809, 102052, 16995, 100604, 66383, 48249, 31431, 103470, 111828, 16995, 108323, 100927, 30512, 30297, 32149, 29295, 114598, 106116, 101161, 105, 118273, 16144, 105350, 16556, 115408, 15682, 45144, 222, 105408, 19732, 103359, 102867, 112535, 89151, 42891, 111199, 26854, 105068, 108285, 30512, 100815, 38144, 5486, 89151, 42891, 111199, 26854, 102750, 29220, 107507, 30512, 126233, 107436, 5486, 64209, 32977, 53900, 89151, 42891, 109163, 26854, 110674, 31809, 30813, 115737, 76947, 38093, 123378, 105350, 20230, 103605, 103836, 1811, 115303, 31431, 109416, 120240, 16556, 56051, 1811, 104940, 102802, 15682, 114715, 32977, 85300, 100, 102532, 22957, 100604, 1811, 112832, 105352, 87177, 56051, 47884, 100604, 1811, 112832, 105352, 38093, 102334, 47884, 100604, 1811, 116414, 105352, 20834, 121771, 100604, 1811, 108416, 45829, 105459, 29295, 13177, 105994, 126027, 107991, 46729, 16144, 109076, 20230, 112258, 113, 119707, 107441, 116326, 112673, 102040, 102750, 508, 5232, 777, 7705, 119962, 100204, 22957, 32977, 100472, 104466, 124845, 13177, 112832, 105352, 99849, 32977, 117952, 104435, 115204, 108044, 45893, 30046, 116787, 106272, 5486, 110924, 20230, 99849, 16144, 110322, 15024, 32977, 21990, 123606, 15682, 104435, 109900, 16556, 33334, 106548, 107875, 16995, 1811, 68759, 33710, 47260, 103005, 79785, 102181, 121960, 51330, 35894, 16144, 124652, 104088, 28713, 111482, 105459, 32977, 102131, 103351, 16144, 38641, 1811, 101828, 16995, 105060, 30512, 118322, 40265, 28713, 112586, 21105, 103, 29295, 33503, 5486, 112185, 51330, 111482, 105459, 102052, 127091, 29295, 124490, 76622, 101732, 1811, 17129, 39926, 71208, 108416, 124863, 122270, 104328, 67645, 102518, 19732, 117952, 123207, 105110, 100604, 1811, 103031, 33503, 15682, 5486, 119869, 30591, 103171, 20230, 107969, 102518, 110115, 5486, 109088, 29504, 29295, 124284, 33503, 115408, 105459, 127105, 65917, 27384, 113524, 5486, 78659, 27384, 113524, 116446, 17297, 65316, 5486, 104309, 19732, 40526, 64936, 122939, 30512, 107850, 81219, 107113, 110115, 5486, 36668, 29295, 95598, 19113, 107145, 107294, 32149, 104028, 25580, 105352, 30297, 116414, 32149, 102416, 110074, 102639, 38144, 114604, 1811, 103983, 112959, 9458, 103005, 79785, 102181, 16144, 105721, 78183, 111331, 119400, 15682, 5486, 116414, 105352, 91774, 40265, 28713, 110104, 9174, 36668, 25197, 76739, 22398, 15682, 32149, 59739, 38144, 117952, 33121, 79721, 66327, 115406, 16144, 85701, 120577, 112690, 30512, 104655, 47884, 121142, 23039, 78183, 100604, 30046, 15682, 112073, 5486, 120843, 120938, 20230, 46729, 30512, 26892, 38144, 28713, 31374, 248, 107188, 17792, 20230, 104409, 100934, 1811, 103067, 101, 29295, 104989, 31431, 5486, 101701, 29295, 30591, 105104, 33121, 5486, 104346, 29295, 114408, 102532, 58426, 46729, 20230, 124364, 118544, 32149, 104533, 5486, 105987, 106824, 106116, 105987, 33121, 24273, 29295, 104328, 67645, 102518, 116326, 68759, 107507, 22, 5232, 1627, 21909, 1544, 123505, 71208, 108416, 45829, 32977, 5486, 36668, 25197, 76739, 22398, 55031, 100927, 58942, 114475, 76622, 100481, 106272, 5486, 112185, 127091, 29295, 124490, 76622, 101732, 1811, 74090, 55038, 29295, 124490, 76622, 101732, 118844, 120577, 109335, 86348, 103983, 112959, 20230, 102181, 32149, 33121, 101732, 100909, 38641, 1811, 20648, 222, 102800, 58850, 108416, 45829, 5486, 40474, 124324, 71208, 108416, 121240, 53953, 102158, 16556, 105721, 78183, 103836, 1811, 86127, 105459, 124911, 21990, 15682, 104405, 123253, 32149, 1811, 86127, 105459, 32977, 53900, 83747, 103470, 111243, 103983, 112959, 30832, 20230, 40265, 28713, 30369, 17792, 21990, 15682, 85701, 103296, 105564, 25827, 103082, 28713, 16144, 111769, 123253, 32149, 113637, 16325, 102052, 108914, 107591, 114475, 107674, 30046, 29295, 43240, 47884, 33334, 102204, 33541, 1811, 86127, 32977, 58426, 122485, 38641, 109900, 15682, 5486, 36668, 25197, 76739, 22398, 19732, 20834, 38093, 100472, 55031, 20230, 121953, 124897, 109807, 15120, 112959, 30832, 16556, 5486, 78256, 223, 104599, 115287, 99695, 20251, 42634, 127282, 5486, 36668, 16144, 13177, 115406, 109853, 37507, 26854, 65316, 1811, 114516, 30512, 19732, 30369, 78256, 223, 104599, 20230, 119607, 116326, 68759, 107507, 19, 5232, 777, 7705, 110792, 104394, 50834, 20230, 106608, 58942, 5486, 74245, 104699, 107969, 115737, 76947, 108044, 45893, 16144, 104412, 30512, 27704, 109013, 19732, 102181, 102532, 101182, 1811, 86127, 32977, 108914, 107591, 114475, 107674, 125344, 111006, 16144, 80699, 102867, 31431, 30512, 37271, 72661, 112854, 107290, 30369, 1811, 67016, 21105, 251, 33121, 15682, 106135, 112959, 118322, 59739, 109709, 33655, 107263, 78244, 23039, 108565, 16144, 102616, 107118, 116414, 32149, 108010, 100472, 16144, 38641, 1811, 115519, 29295, 16423, 78183, 107462, 104435, 16144, 38641, 1811, 74090, 55038, 119703, 16144, 38641, 1811, 108044, 45893, 16144, 104412, 15682, 44971, 106901, 11972, 107118, 108901, 109020, 1811, 108064, 32977, 105465, 102800, 102944, 111769, 1811, 104004, 15024, 85791, 107707, 30832, 102052, 99849, 29295, 28190, 101828, 47884, 38144, 30591, 103171, 106592, 103792, 120900, 19732, 29245, 251, 110071, 105933, 105908, 127181, 9174, 102465, 103932, 91779, 99, 15120, 118785, 104599, 15682, 108895, 102181, 50834, 79721, 9174, 13177, 71289, 104984, 109134, 108680, 118124, 30832, 117158, 38144, 5486, 122270, 115924, 103192, 9554, 101983, 107462, 47884, 106613, 111186, 30512, 5486, 108044, 45893, 17663, 118733, 112391, 28713, 116537, 111338, 58911, 107991, 1811, 8239, 112, 122502, 54926, 100909, 105110, 112160, 9080, 123529, 30512, 89753, 39926, 122502, 76622, 81219, 108048, 26854, 112586, 110382, 17129, 103082, 28713, 102677, 13153, 28873, 30512, 64121, 30369, 105908, 101182, 119520, 5486, 108044, 45893, 15682, 5486, 67645, 103171, 20230, 107202, 8239, 112, 15024, 5486, 55228, 230, 31431, 5486, 64209, 30512, 22957, 62004, 101732, 103306, 32977, 5486, 102717, 25827, 16144, 120065, 72661, 107707, 64209, 30512, 101365, 121254, 105784, 105908, 106084, 101860, 5486, 37087, 38144, 35894, 106624, 105721, 78183, 76947, 114732, 105908, 127181, 1811, 108044, 45893, 15682, 5486, 115364, 56051, 100909, 5486, 78698, 107800, 106592, 122282, 127564, 57326, 112718, 108176, 102944, 15682, 99849, 32977, 20834, 38144, 22957, 100604, 1811, 111329, 85707, 31640, 100927, 38093, 112366, 16144, 108044, 45893, 30046, 80805, 65299, 42634, 15682, 120267, 79721, 9174, 13177, 111108, 106670, 56051, 105908, 46091, 27479, 115397, 11881, 120, 103309, 56235, 17905, 20230, 125210, 100472, 115789, 57903, 79721, 1811, 21105, 108, 21105, 108, 104412, 30512, 15024, 5486, 101701, 16144, 111108, 5486, 123010, 83812, 232, 16144, 111108, 5486, 42016, 112506, 117758, 111108, 5486, 108901, 109861, 17792, 117758, 111108, 5486, 102865, 113245, 111108, 5486, 118448, 33121, 102212, 113245, 111108, 5486, 56235, 17905, 16144, 111108, 5486, 49691, 121, 16144, 127857, 105459, 117758, 111108, 20230, 114876, 16995, 5486, 107202, 8239, 112, 15024, 5486, 110135, 108881, 76947, 5486, 21105, 108, 21105, 108, 120379, 121140, 20230, 103188, 48154, 15024, 5486, 72406, 95, 58942, 35086, 229, 50834, 5486, 21105, 108, 21105, 108, 125764, 101860, 107898, 31431, 5486, 117759, 30813, 20230, 12870, 235, 58942, 5486, 70892, 116, 16556, 102334, 115789, 57903, 79721, 113637, 102717, 32149, 105352, 112185, 101182, 29295, 106116, 17905, 20230, 5486, 9080, 104680, 115406, 20230, 117598, 30369, 71289, 42891, 121867, 30926, 108149, 33503, 106644, 30369, 100927, 38093, 109853, 16144, 64209, 55487, 30926, 115991, 33541, 116326, 47260, 37823, 52414, 41920, 806, 5232, 914, 21909, 1591, 123505, 80673, 102465, 103932, 105408, 15682, 5486, 33655, 107263, 80805, 65299, 42634, 15682, 67645, 103171, 107202, 111108, 20230, 30591, 114598, 5486, 103983, 112959, 118322, 108416, 45829, 105459, 119775, 5486, 108044, 45893, 30512, 82533, 62004, 105823, 104127, 56051, 1811, 80805, 65299, 42634, 15682, 53508, 100, 109013, 66327, 108064, 32977, 104940, 102802, 26854, 65316, 10646, 66327, 40053, 20230, 104940, 102802, 26854, 65316, 1811, 30358, 101832, 38144, 78244, 61689, 29295, 104940, 102802, 26854, 65316, 1811, 67645, 103171, 100909, 72661, 114284, 101851, 102, 30297, 104468, 71289, 62004, 26854, 65316, 1811, 99849, 30926, 107294, 76622, 5486, 99750, 118835, 30512, 104526, 107436, 55228, 230, 31431, 26854, 65316, 116326, 106384, 37823, 70563, 19, 5232, 19, 21909, 20, 65459, 102131, 42016, 8239, 112, 30046, 30512, 119680, 17129, 15024, 106307, 76622, 79721, 1811, 105994, 116907, 20230, 102158, 31431, 32149, 105784, 104466, 1811, 103031, 20230, 51330, 108044, 45893, 19732, 100927, 38093, 123079, 16144, 107202, 21105, 123, 20230, 113420, 58942, 124545, 102944, 15682, 99849, 103351, 105879, 109954, 32149, 113637, 17905, 26854, 50834, 104195, 21688, 109, 26854, 113116, 48634, 123253, 32149, 109807, 74482, 127862, 103633, 116358, 122756, 102321, 103468, 67645, 16144, 101365, 48864, 30046, 30512, 32977, 122062, 102147, 243, 54926, 103892, 101171, 111, 123253, 32149, 1811, 37689, 30590, 123253, 32149, 1811, 102131, 77181, 124897, 1811, 64209, 29295, 124500, 100472, 16144, 38641, 1811, 117145, 20230, 17039, 28713, 20230, 127091, 29295, 17701, 76947, 124284, 16144, 38641, 115397, 112959, 30832, 72661, 108416, 45829, 127282, 105184, 111201, 18904, 64209, 30512, 106613, 111186, 56051, 124845, 25197, 76739, 22398, 103826, 20230, 123532, 100472, 1811, 67016, 21105, 251, 16144, 39177, 119568, 33503, 15682, 99849, 32977, 53283, 110104, 16144, 38641, 1811, 108044, 45893, 16144, 116292, 21105, 123, 30512, 5486, 100927, 38093, 30512, 26892, 125655, 100909, 16144, 30358, 111600, 30512, 117119, 32977, 53283, 110104, 16144, 38641, 1811, 103031, 33503, 15682, 105994, 105459, 29295, 107322, 103854, 108044, 105262, 62903, 124766, 29295, 5486, 67645, 103171, 20230, 101083, 56965, 55031, 101682, 76622, 125639 ]
[ 102204, 100604, 48706, 103195, 32149, 5486, 108631, 16995, 108680, 53283, 30369, 39177, 29295, 37507, 30369, 1811, 36668, 25197, 76739, 22398, 55031, 48249, 31431, 26854, 50834, 103926, 5486, 122393, 64121, 5486, 114166, 103005, 30512, 115962, 50834, 106272, 5486, 67016, 21105, 251, 33121, 16556, 102532, 5486, 25197, 76739, 22398, 103826, 20230, 105994, 30512, 31958, 76622, 110968, 17663, 109335, 103801, 72342, 25827, 1811, 104712, 19732, 22957, 103378, 108056, 107173, 33503, 30297, 107493, 5486, 115364, 120208, 20230, 40862, 30297, 110229, 15682, 32977, 33503, 30297, 107493, 5486, 105994, 20230, 72368, 40862, 29295, 109161, 16995, 106592, 25197, 76739, 22398, 103826, 29295, 102158, 31431, 27704, 62004, 104533, 5486, 108031, 102147, 226, 30832, 38641, 1811, 30813, 42891, 30813, 19732, 110074, 102639, 100481, 47884, 1811, 108416, 45829, 127282, 126920, 115924, 103192, 56051, 119150, 124845, 5486, 110074, 102639, 30369, 58426, 17792, 126027, 105068, 16325, 104088, 37705, 30369, 117591, 20230, 5486, 110924, 20230, 105994, 116907, 16144, 110783, 29295, 30358, 26854, 76947, 109749, 1811, 117145, 29295, 106142, 107290, 114732, 16144, 38641, 1811, 30320, 115, 16144, 101200, 101983, 42891, 104702, 30297, 109807, 95221, 69978, 86614, 108044, 45893, 30512, 127637, 32977, 21105, 103, 102518, 30046, 102052, 104662, 39926, 17620, 124403, 114284, 38641, 109900, 15682, 108044, 45893, 126198, 30046, 103378, 29295, 53283, 30369, 113529, 49409, 99750, 38641, 1811, 108044, 45893, 30046, 15682, 103429, 95221, 115717, 33541, 1811, 64209, 16144, 103429, 95221, 115717, 33541, 1811, 36785, 102189, 25827, 106890, 109, 9554, 115717, 33541, 1811, 115364, 17792, 21990, 126636, 103268, 124905, 76947, 108048, 29295, 51330, 78943, 118544, 119150, 19732, 5486, 108031, 127637, 5486, 17792, 21990, 30512, 71289, 31431, 74245, 56051, 47884, 109020, 115397, 27479, 105550, 30512, 15017, 101, 38144, 28713, 108416, 121240, 99695, 20251, 42634, 29295, 5486, 102472, 37823, 32131, 104930, 105970, 20230, 110074, 102639, 112454, 76947, 5486, 53900, 105550, 30512, 124475, 19732, 76947, 5486, 115371, 30512, 19732, 31431, 27704, 109013, 104466, 9174, 101182, 118785, 104599, 15682, 102472, 114228, 78683, 94550, 29295, 110999, 103868, 118816, 117952, 104028, 1811, 16144, 62004, 31431, 104526, 126559, 66327, 105408, 99849, 119279, 110241, 85791, 16995, 25827, 112130, 10646, 102131, 124118, 101832, 127567, 13177, 117430, 15682, 103001, 246, 59739, 126660, 55031, 26854, 66383, 103899, 58942, 109115, 1811, 105301, 102185, 15682, 112909, 126929, 90620, 76622, 37656, 74245, 20230, 106608, 107290, 124089, 102131, 38641, 119520, 114516, 15682, 102147, 226, 30832, 36785, 114318, 33334, 42891, 116826, 31431, 28713, 102518, 16144, 111769, 32149, 5486, 119150, 1811, 108044, 45893, 112919, 22023, 121755, 32977, 123451, 238, 20230, 110408, 15024, 89753, 30813, 30369, 109900, 29295, 103983, 112959, 118322, 102971, 106968, 66327, 80539, 5486, 36785, 33121, 105352, 99849, 32977, 117952, 104435, 115204, 77693, 16556, 105721, 78183, 30369, 1811, 115690, 115847, 16556, 86348, 105721, 78183, 100472, 105272, 121906, 91763, 100472, 112661, 56965, 5486, 80673, 33710, 71493, 15682, 13177, 77693, 16556, 105721, 116547, 16556, 100604, 76864, 19732, 27384, 71174, 16556, 102158, 31431, 27704, 109315, 66327, 110382, 20230, 106135, 112959, 29295, 27704, 115464, 66383, 1811, 110924, 16556, 41920, 27479, 118322, 18904, 64209, 29295, 125119, 30369, 1811, 41920, 27479, 118322, 112500, 96356, 29295, 125119, 30369, 9174, 109095, 76706, 16144, 36668, 15682, 5486, 103664, 64063, 39926, 17297, 65316, 79721, 66327, 115941, 60868, 44971, 91062, 30512, 106627, 33121, 101860, 5486, 112772, 78183, 28713, 67016, 33503, 104655, 102334, 5486, 104503, 16144, 103664, 64063, 103646, 102944, 30512, 75293, 43514, 26854, 65316, 1811, 112673, 102040, 102750, 15682, 53610, 16556, 108914, 107591, 30512, 107141, 107674, 29295, 108149, 112568, 29295, 28713, 15682, 56965, 32977, 103470, 110776, 124121, 111848, 108914, 107591, 30512, 107141, 76622, 110071, 55031, 103195, 115204, 10110, 33655, 107263, 78244, 23039, 108565, 16, 5232, 19, 21909, 20, 23954, 106627, 33121, 104702, 102147, 226, 30832, 36785, 1811, 108031, 110074, 102639, 104702, 102147, 226, 30832, 36785, 115397, 112959, 30832, 77181, 108149, 112568, 127282, 16995, 78183, 81219, 5486, 53610, 16144, 66953, 57326, 57933, 124131, 114475, 107674, 20230, 103188, 105557, 100604, 125939, 110371, 41920, 112959, 30832, 16556, 108149, 112568, 24273, 15682, 110776, 124121, 16144, 66953, 57326, 57933, 124131, 29295, 107141, 76622, 110071, 125939, 127105, 5486, 117145, 20230, 118937, 121867, 102944, 29295, 17701, 76947, 109749, 1811, 103983, 112959, 30832, 15682, 116898, 78183, 81219, 99849, 32977, 17701, 107462, 100604, 16556, 80699, 112649, 76622, 109115, 104930, 71493, 113883, 105933, 102944, 36785, 115397, 39177, 109688, 117126, 26854, 108680, 89151, 42891, 109657, 20230, 107969, 72342, 109115, 29295, 110371, 101083, 16144, 114284, 101851, 102, 16995, 29295, 47884, 104533, 5486, 74245, 104699, 106142, 58942, 104702, 30297, 119520, 41920, 112959, 30832, 15682, 108010, 30297, 109807, 104930, 71493, 16073, 107809, 107898, 124527, 29295, 105843, 28713, 107001, 108995, 109900, 15682, 33354, 237, 71289, 107188, 118937, 32149, 30813, 16556, 5486, 80673, 108064, 17129, 72661, 106142, 119841, 109900, 29295, 37271, 30591, 112568, 16144, 117145, 30512, 105843, 28713, 17663, 110776, 124121, 103826, 26854, 105272, 1811, 110924, 127303, 112568, 104067, 16144, 74090, 55038, 125334, 102321, 54926, 1811, 123451, 238, 105352, 113420, 105262, 46729, 16144, 74090, 55038, 29295, 9174, 86127, 126027, 108914, 107591, 30512, 127862, 59739, 20230, 17620, 107441, 78698, 105262, 109215, 15682, 124897, 1811, 86127, 127282, 51330, 100927, 38093, 16556, 108914, 107591, 114475, 105784, 39177, 5486, 53610, 16144, 108914, 107591, 114475, 76622, 104533, 115963, 20230, 110776, 124121, 16144, 26130, 105557, 20230, 30591, 101860, 117295, 16144, 38641, 109900, 15682, 115963, 20230, 125119, 30369, 16144, 38641, 119520, 86127, 126027, 80988, 239, 26854, 26854, 117145, 15682, 5486, 119869, 15682, 103424, 47884, 111243, 5486, 108064, 16144, 56965, 112649, 106116, 110776, 124121, 30512, 43568, 103984, 39926, 116898, 100604, 120266, 103792, 16144, 111769, 123253, 32149, 109807, 39177, 5486, 109095, 76706, 16144, 36668, 15682, 110901, 112568, 15682, 5486, 108031, 53610, 16144, 108914, 107591, 103378, 101983, 42891, 104702, 100472, 101832, 66383, 117952, 104028, 1811, 108031, 127637, 106116, 53610, 30512, 118937, 107436, 115962, 112495, 65316, 1811, 110776, 124121, 103826, 113468, 109807, 39177, 108149, 112568, 16144, 106135, 112959, 30832, 29295, 27704, 115464, 114318, 1811, 103983, 112959, 16556, 105721, 78183, 100472, 33503, 27384, 104721, 38641, 66327, 30591, 33121, 115847, 16556, 105721, 116547, 66383, 95604, 100909, 101983, 42891, 104702, 30297, 1811, 86127, 126027, 22023, 121755, 124911, 21990, 32977, 125457, 42891, 115847, 16556, 105721, 116547, 11571, 76864, 1811, 122582, 126920, 16325, 108968, 103268, 79982, 38641, 1811, 104405, 39926, 107943, 100909, 110276, 104865, 109900, 112987, 78183, 81219, 5486, 53610, 16144, 108914, 107591, 121142, 5486, 105564, 25827, 103082, 28713, 55031, 111769, 123253, 32149, 109900, 15682, 115364, 22023, 121755, 107969, 64209, 30813, 121142, 71289, 107462, 108895, 114267, 1811, 59739, 109709, 110776, 124121, 110214, 16144, 22023, 121755, 30046, 38641, 1811, 101365, 16144, 48634, 20230, 117475, 102052, 114715, 32977, 117943, 107462, 100604, 22023, 121755, 112919, 110783, 116787, 33541, 1811, 101365, 29295, 122502, 32149, 104028, 1811, 110776, 124121, 29295, 122502, 32149, 104028, 113637, 33655, 107263, 78244, 23039, 108565, 107118, 5486, 117382, 5486, 33655, 107263, 23039, 108044, 19732, 127173, 33121, 108048, 15682, 43240, 119064, 114754, 120267, 109033, 58942, 79721, 118844, 15682, 13177, 110776, 124121, 23039, 108044, 10646, 118816, 1811, 33655, 107263, 29295, 114652, 71289, 100472, 16144, 111769, 1811, 109860, 100927, 38093, 29295, 26892, 100472, 16144, 111769, 109807, 33655, 107263, 16144, 122502, 50834, 16144, 105068, 123090, 5486, 110776, 124121, 103826, 16144, 13870, 249, 17129, 112179, 33334, 122502, 50834, 122291, 105272, 114318, 9174, 110901, 112568, 29295, 28713, 120938, 20230, 110776, 124121, 29295, 104989, 104533, 108149, 112568, 29295, 28713, 15682, 48634, 114475, 105784, 124845, 5486, 115941, 60868, 44971, 91062, 122416, 16556, 103470, 5486, 108152, 99959, 104930, 19732, 60868, 68759, 104612, 16144, 37087, 74090, 16556, 5486, 53900, 5486, 30590, 16144, 28873, 38144, 20230, 57237, 30369, 103296, 5486, 115406, 16144, 110322, 17792, 117282, 115204, 10110, 33655, 107263, 78244, 23039, 108565, 16, 5232, 23, 23954, 110382, 55031, 86127, 126027, 106135, 112959, 29295, 27704, 17129, 107462, 47884, 1811, 30775, 104, 108881, 30512, 104087, 107290, 5486, 109095, 76706, 16144, 110322, 17792, 117282, 105564, 64121, 29295, 27704, 115464, 1811, 22023, 121755, 16144, 104412, 15682, 106307, 47884, 1811, 125821, 110596, 47884, 102416, 5486, 125821, 103031, 24273, 102416, 106307, 16995, 100481, 47884, 1811, 30590, 16144, 28873, 38144, 103296, 118844, 55031, 126529, 38641, 1811, 99849, 95598, 8107, 19732, 22023, 121755, 104654, 30512, 39926, 50834, 38144, 5486, 100927, 38093, 104654, 16144, 21405, 32977, 118124, 32977, 53283, 31431, 107542, 47884, 56051, 22023, 121755, 30046, 119279, 110071, 124845, 13177, 105408, 5486, 108031, 127814, 33121, 79721, 1811, 122571, 92877, 16995, 79721, 1811, 73686, 56906, 78434, 115204, 102131, 117952, 104028, 119520, 125457, 115847, 16556, 105721, 116547, 91006, 104856, 76947, 112987, 124324, 1811, 110589, 55031, 106135, 112959, 29295, 27704, 115464, 9174, 13177, 36668, 20230, 103192, 64121, 126130, 47884, 116537, 17039, 28713, 26854, 123457, 50928, 96555, 165, 115, 110, 119775, 119184, 30512, 105714, 76947, 17905, 30369, 1811, 102149, 114598, 112294, 30369, 100909, 103470, 5486, 105564, 102532, 32977, 127814, 110615, 115204, 10110, 25197, 103988, 104930, 1272, 5232, 2148, 23954, 55228, 230, 31431, 17129, 109954, 1811, 106711, 103826, 5486, 67645, 103171, 20230, 37026, 120577, 48634, 20230, 115924, 103192, 120837, 5486, 110776, 124121, 103826, 112197, 123457, 20135, 106, 30369, 108789, 103378, 15682, 109373, 30813, 100604, 104466, 107726, 38144, 17297, 65316, 9174, 9458, 117811, 20834, 105586, 15682, 123085, 110776, 102181, 108975, 38093, 44620, 110776, 102181, 80019, 119046, 117735, 36761, 105755, 104076, 110776, 102181, 80019, 119046, 117735, 5232, 320, 66, 8, 119046, 117735, 110776, 102181, 103350, 23039, 114373, 38093, 18362, 10554, 315, 578, 7874, 17377, 39141, 128001, 128000, 122447, 76505, 72516, 198, 53610, 126503, 15682, 13177, 101171, 111, 48634, 10646, 29295, 112258, 249, 58942, 110071, 0, 5380, 108031, 114225, 17039, 110895, 30512, 109169, 105262, 20230, 30591, 115926, 5486, 108710, 16995, 30926, 15682, 99849, 30512, 107726, 101200, 107188, 108861, 19732, 33334, 101128, 102, 64121, 16144, 123050, 112919, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 43240, 104091, 43240, 103826, 26854, 108710, 16995, 30926, 107407, 26854, 32149, 16556, 124563, 112371, 101860, 104043, 22398, 25197, 101198, 94550, 29295, 126909, 103351, 105879, 109954, 9174, 122582, 33334, 45829, 103826, 16144, 13153, 101544, 125030, 111243, 115552, 16144, 101182, 102944, 103351, 55031, 9174, 22398, 25197, 101198, 94550, 15682, 113614, 28190, 102052, 32977, 43514, 85791, 25827, 36896, 101171, 111, 117503, 102404, 104067, 105352, 119448, 47884, 97518, 58318, 127145, 9174, 66378, 20230, 51330, 46702, 59739, 198, 9458, 35894, 56965, 104736, 53283, 106556, 198, 9458, 120766, 48634, 198, 9458, 101171, 111, 16144, 76706, 34171, 33208, 198, 9458, 101171, 111, 16144, 37823, 32131, 107840, 198, 11144, 35894, 56965, 104736, 53283, 106556, 112479, 53953, 110792, 124349, 71289, 119448, 30813, 30512, 102178, 111665, 54926, 106556, 38641, 9174, 51330, 106556, 15682, 22656, 37507, 48915, 109739, 102802, 50667, 16556, 109683, 19732, 96356, 107294, 47884, 102944, 16556, 56051, 29295, 5486, 60358, 116358, 119951, 127242, 121453, 25287, 47260, 42634, 96452, 116294, 33710, 22398, 99750, 108208, 111571, 16144, 99750, 108208, 26955, 94, 27384, 5486, 71005, 51385, 16144, 109688, 33565, 100, 104309, 5486, 48915, 109739, 102802, 123410, 101513, 38093, 29295, 102700, 106624, 114485, 83747, 127145, 9174, 127012, 8239, 114503, 119185, 198, 9458, 79059, 83301, 124011, 109089, 113245, 103621, 64178, 71289, 124180, 39850, 78983, 110792, 124349, 30512, 102178, 111665, 15024, 9554, 105184, 20230, 107271, 84477, 71289, 80805, 22398, 123410, 110115, 109215, 26854, 106556, 38641, 9174, 9458, 104654, 28190, 77181, 5486, 124349, 71289, 119448, 30813, 16144, 102178, 111665, 20230, 74245, 102971, 54926, 105879, 5486, 17792, 71289, 53953, 20230, 104369, 59739, 124403, 5486, 67645, 16144, 120264, 16144, 124349, 107407, 55031, 67645, 33121, 120264, 16144, 82973, 29295, 115856, 117295, 110371, 111600, 53953, 15682, 110382, 20230, 110226, 115464, 32149, 104405, 32149, 50667, 5486, 96356, 60358, 26854, 120266, 109215, 26854, 106556, 38641, 9174, 9458, 53508, 231, 104195, 16144, 28190, 77181, 66378, 20230, 111629, 83799, 109606, 20230, 104195, 115737, 104533, 117952, 106824, 61689, 9174, 11144, 120766, 48634, 112479, 15120, 118821, 30926, 120910, 20230, 61633, 30512, 120766, 39926, 53953, 30926, 20230, 108167, 103214, 104004, 106556, 38641, 9174, 9458, 95604, 17129, 72661, 124897, 101832, 1811, 120766, 48634, 119703, 19732, 124011, 109089, 72661, 104712, 80805, 108526, 108941, 107446, 29295, 118765, 38641, 123794, 9174, 9458, 104654, 28190, 72661, 5486, 61633, 48634, 29295, 107471, 109620, 77181, 102663, 102472, 71289, 123429, 16144, 24186, 38641, 55031, 114318, 111243, 27384, 102769, 26854, 106556, 38641, 9174, 9458, 53508, 231, 104195, 28190, 77181, 120766, 48634, 29295, 30591, 104984, 126120, 96455, 114652, 96356, 20230, 47000, 47884, 121142, 103470, 106116, 17620, 5486, 82973, 16144, 33655, 16995, 24273, 105352, 106644, 19732, 31431, 29295, 125545, 9174, 11144, 101171, 111, 16144, 76706, 34171, 33208, 112479, 9458, 53610, 126503, 15682, 19361, 108602, 72238, 117401, 16144, 31640, 13372, 113124, 109904, 124011, 109089, 119627, 5486, 19361, 108602, 72238, 117401, 30512, 112990, 101171, 107722, 112506, 29295, 115079, 105262, 102677, 102473, 113702, 32977, 57903, 33541, 9174, 11144, 101171, 111, 16144, 37823, 32131, 107840, 112479, 9458, 17905, 61304, 16144, 76706, 34171, 33208, 16144, 89151, 116900, 106046, 126832, 32149, 110241, 33121, 107515, 29295, 5486, 53610, 107809, 113245, 110456, 106266, 15682, 113116, 51385, 23187, 113266, 16144, 101182, 13177, 64810, 42634, 20251, 78683, 16073, 117503, 17620, 14888, 234, 30512, 113096, 17663, 103846, 5486, 57326, 64178, 16144, 74482, 15682, 109809, 113136, 108608, 102677, 104468, 5486, 112832, 32977, 29295, 106613, 111186, 111587, 64121, 126529, 111769, 123253, 32149, 9174, 127032, 32977, 119436, 32977, 71634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 102204, 100604, 48706, 103195, 32149, 5486, 108631, 16995, 108680, 53283, 30369, 39177, 29295, 37507, 30369, 1811, 36668, 25197, 76739, 22398, 55031, 48249, 31431, 26854, 50834, 103926, 5486, 122393, 64121, 5486, 114166, 103005, 30512, 115962, 50834, 106272, 5486, 67016, 21105, 251, 33121, 16556, 102532, 5486, 25197, 76739, 22398, 103826, 20230, 105994, 30512, 31958, 76622, 110968, 17663, 109335, 103801, 72342, 25827, 1811, 104712, 19732, 22957, 103378, 108056, 107173, 33503, 30297, 107493, 5486, 115364, 120208, 20230, 40862, 30297, 110229, 15682, 32977, 33503, 30297, 107493, 5486, 105994, 20230, 72368, 40862, 29295, 109161, 16995, 106592, 25197, 76739, 22398, 103826, 29295, 102158, 31431, 27704, 62004, 104533, 5486, 108031, 102147, 226, 30832, 38641, 1811, 30813, 42891, 30813, 19732, 110074, 102639, 100481, 47884, 1811, 108416, 45829, 127282, 126920, 115924, 103192, 56051, 119150, 124845, 5486, 110074, 102639, 30369, 58426, 17792, 126027, 105068, 16325, 104088, 37705, 30369, 117591, 20230, 5486, 110924, 20230, 105994, 116907, 16144, 110783, 29295, 30358, 26854, 76947, 109749, 1811, 117145, 29295, 106142, 107290, 114732, 16144, 38641, 1811, 30320, 115, 16144, 101200, 101983, 42891, 104702, 30297, 109807, 95221, 69978, 86614, 108044, 45893, 30512, 127637, 32977, 21105, 103, 102518, 30046, 102052, 104662, 39926, 17620, 124403, 114284, 38641, 109900, 15682, 108044, 45893, 126198, 30046, 103378, 29295, 53283, 30369, 113529, 49409, 99750, 38641, 1811, 108044, 45893, 30046, 15682, 103429, 95221, 115717, 33541, 1811, 64209, 16144, 103429, 95221, 115717, 33541, 1811, 36785, 102189, 25827, 106890, 109, 9554, 115717, 33541, 1811, 115364, 17792, 21990, 126636, 103268, 124905, 76947, 108048, 29295, 51330, 78943, 118544, 119150, 19732, 5486, 108031, 127637, 5486, 17792, 21990, 30512, 71289, 31431, 74245, 56051, 47884, 109020, 115397, 27479, 105550, 30512, 15017, 101, 38144, 28713, 108416, 121240, 99695, 20251, 42634, 29295, 5486, 102472, 37823, 32131, 104930, 105970, 20230, 110074, 102639, 112454, 76947, 5486, 53900, 105550, 30512, 124475, 19732, 76947, 5486, 115371, 30512, 19732, 31431, 27704, 109013, 104466, 9174, 101182, 118785, 104599, 15682, 102472, 114228, 78683, 94550, 29295, 110999, 103868, 118816, 117952, 104028, 1811, 16144, 62004, 31431, 104526, 126559, 66327, 105408, 99849, 119279, 110241, 85791, 16995, 25827, 112130, 10646, 102131, 124118, 101832, 127567, 13177, 117430, 15682, 103001, 246, 59739, 126660, 55031, 26854, 66383, 103899, 58942, 109115, 1811, 105301, 102185, 15682, 112909, 126929, 90620, 76622, 37656, 74245, 20230, 106608, 107290, 124089, 102131, 38641, 119520, 114516, 15682, 102147, 226, 30832, 36785, 114318, 33334, 42891, 116826, 31431, 28713, 102518, 16144, 111769, 32149, 5486, 119150, 1811, 108044, 45893, 112919, 22023, 121755, 32977, 123451, 238, 20230, 110408, 15024, 89753, 30813, 30369, 109900, 29295, 103983, 112959, 118322, 102971, 106968, 66327, 80539, 5486, 36785, 33121, 105352, 99849, 32977, 117952, 104435, 115204, 77693, 16556, 105721, 78183, 30369, 1811, 115690, 115847, 16556, 86348, 105721, 78183, 100472, 105272, 121906, 91763, 100472, 112661, 56965, 5486, 80673, 33710, 71493, 15682, 13177, 77693, 16556, 105721, 116547, 16556, 100604, 76864, 19732, 27384, 71174, 16556, 102158, 31431, 27704, 109315, 66327, 110382, 20230, 106135, 112959, 29295, 27704, 115464, 66383, 1811, 110924, 16556, 41920, 27479, 118322, 18904, 64209, 29295, 125119, 30369, 1811, 41920, 27479, 118322, 112500, 96356, 29295, 125119, 30369, 9174, 109095, 76706, 16144, 36668, 15682, 5486, 103664, 64063, 39926, 17297, 65316, 79721, 66327, 115941, 60868, 44971, 91062, 30512, 106627, 33121, 101860, 5486, 112772, 78183, 28713, 67016, 33503, 104655, 102334, 5486, 104503, 16144, 103664, 64063, 103646, 102944, 30512, 75293, 43514, 26854, 65316, 1811, 112673, 102040, 102750, 15682, 53610, 16556, 108914, 107591, 30512, 107141, 107674, 29295, 108149, 112568, 29295, 28713, 15682, 56965, 32977, 103470, 110776, 124121, 111848, 108914, 107591, 30512, 107141, 76622, 110071, 55031, 103195, 115204, 10110, 33655, 107263, 78244, 23039, 108565, 16, 5232, 19, 21909, 20, 23954, 106627, 33121, 104702, 102147, 226, 30832, 36785, 1811, 108031, 110074, 102639, 104702, 102147, 226, 30832, 36785, 115397, 112959, 30832, 77181, 108149, 112568, 127282, 16995, 78183, 81219, 5486, 53610, 16144, 66953, 57326, 57933, 124131, 114475, 107674, 20230, 103188, 105557, 100604, 125939, 110371, 41920, 112959, 30832, 16556, 108149, 112568, 24273, 15682, 110776, 124121, 16144, 66953, 57326, 57933, 124131, 29295, 107141, 76622, 110071, 125939, 127105, 5486, 117145, 20230, 118937, 121867, 102944, 29295, 17701, 76947, 109749, 1811, 103983, 112959, 30832, 15682, 116898, 78183, 81219, 99849, 32977, 17701, 107462, 100604, 16556, 80699, 112649, 76622, 109115, 104930, 71493, 113883, 105933, 102944, 36785, 115397, 39177, 109688, 117126, 26854, 108680, 89151, 42891, 109657, 20230, 107969, 72342, 109115, 29295, 110371, 101083, 16144, 114284, 101851, 102, 16995, 29295, 47884, 104533, 5486, 74245, 104699, 106142, 58942, 104702, 30297, 119520, 41920, 112959, 30832, 15682, 108010, 30297, 109807, 104930, 71493, 16073, 107809, 107898, 124527, 29295, 105843, 28713, 107001, 108995, 109900, 15682, 33354, 237, 71289, 107188, 118937, 32149, 30813, 16556, 5486, 80673, 108064, 17129, 72661, 106142, 119841, 109900, 29295, 37271, 30591, 112568, 16144, 117145, 30512, 105843, 28713, 17663, 110776, 124121, 103826, 26854, 105272, 1811, 110924, 127303, 112568, 104067, 16144, 74090, 55038, 125334, 102321, 54926, 1811, 123451, 238, 105352, 113420, 105262, 46729, 16144, 74090, 55038, 29295, 9174, 86127, 126027, 108914, 107591, 30512, 127862, 59739, 20230, 17620, 107441, 78698, 105262, 109215, 15682, 124897, 1811, 86127, 127282, 51330, 100927, 38093, 16556, 108914, 107591, 114475, 105784, 39177, 5486, 53610, 16144, 108914, 107591, 114475, 76622, 104533, 115963, 20230, 110776, 124121, 16144, 26130, 105557, 20230, 30591, 101860, 117295, 16144, 38641, 109900, 15682, 115963, 20230, 125119, 30369, 16144, 38641, 119520, 86127, 126027, 80988, 239, 26854, 26854, 117145, 15682, 5486, 119869, 15682, 103424, 47884, 111243, 5486, 108064, 16144, 56965, 112649, 106116, 110776, 124121, 30512, 43568, 103984, 39926, 116898, 100604, 120266, 103792, 16144, 111769, 123253, 32149, 109807, 39177, 5486, 109095, 76706, 16144, 36668, 15682, 110901, 112568, 15682, 5486, 108031, 53610, 16144, 108914, 107591, 103378, 101983, 42891, 104702, 100472, 101832, 66383, 117952, 104028, 1811, 108031, 127637, 106116, 53610, 30512, 118937, 107436, 115962, 112495, 65316, 1811, 110776, 124121, 103826, 113468, 109807, 39177, 108149, 112568, 16144, 106135, 112959, 30832, 29295, 27704, 115464, 114318, 1811, 103983, 112959, 16556, 105721, 78183, 100472, 33503, 27384, 104721, 38641, 66327, 30591, 33121, 115847, 16556, 105721, 116547, 66383, 95604, 100909, 101983, 42891, 104702, 30297, 1811, 86127, 126027, 22023, 121755, 124911, 21990, 32977, 125457, 42891, 115847, 16556, 105721, 116547, 11571, 76864, 1811, 122582, 126920, 16325, 108968, 103268, 79982, 38641, 1811, 104405, 39926, 107943, 100909, 110276, 104865, 109900, 112987, 78183, 81219, 5486, 53610, 16144, 108914, 107591, 121142, 5486, 105564, 25827, 103082, 28713, 55031, 111769, 123253, 32149, 109900, 15682, 115364, 22023, 121755, 107969, 64209, 30813, 121142, 71289, 107462, 108895, 114267, 1811, 59739, 109709, 110776, 124121, 110214, 16144, 22023, 121755, 30046, 38641, 1811, 101365, 16144, 48634, 20230, 117475, 102052, 114715, 32977, 117943, 107462, 100604, 22023, 121755, 112919, 110783, 116787, 33541, 1811, 101365, 29295, 122502, 32149, 104028, 1811, 110776, 124121, 29295, 122502, 32149, 104028, 113637, 33655, 107263, 78244, 23039, 108565, 107118, 5486, 117382, 5486, 33655, 107263, 23039, 108044, 19732, 127173, 33121, 108048, 15682, 43240, 119064, 114754, 120267, 109033, 58942, 79721, 118844, 15682, 13177, 110776, 124121, 23039, 108044, 10646, 118816, 1811, 33655, 107263, 29295, 114652, 71289, 100472, 16144, 111769, 1811, 109860, 100927, 38093, 29295, 26892, 100472, 16144, 111769, 109807, 33655, 107263, 16144, 122502, 50834, 16144, 105068, 123090, 5486, 110776, 124121, 103826, 16144, 13870, 249, 17129, 112179, 33334, 122502, 50834, 122291, 105272, 114318, 9174, 110901, 112568, 29295, 28713, 120938, 20230, 110776, 124121, 29295, 104989, 104533, 108149, 112568, 29295, 28713, 15682, 48634, 114475, 105784, 124845, 5486, 115941, 60868, 44971, 91062, 122416, 16556, 103470, 5486, 108152, 99959, 104930, 19732, 60868, 68759, 104612, 16144, 37087, 74090, 16556, 5486, 53900, 5486, 30590, 16144, 28873, 38144, 20230, 57237, 30369, 103296, 5486, 115406, 16144, 110322, 17792, 117282, 115204, 10110, 33655, 107263, 78244, 23039, 108565, 16, 5232, 23, 23954, 110382, 55031, 86127, 126027, 106135, 112959, 29295, 27704, 17129, 107462, 47884, 1811, 30775, 104, 108881, 30512, 104087, 107290, 5486, 109095, 76706, 16144, 110322, 17792, 117282, 105564, 64121, 29295, 27704, 115464, 1811, 22023, 121755, 16144, 104412, 15682, 106307, 47884, 1811, 125821, 110596, 47884, 102416, 5486, 125821, 103031, 24273, 102416, 106307, 16995, 100481, 47884, 1811, 30590, 16144, 28873, 38144, 103296, 118844, 55031, 126529, 38641, 1811, 99849, 95598, 8107, 19732, 22023, 121755, 104654, 30512, 39926, 50834, 38144, 5486, 100927, 38093, 104654, 16144, 21405, 32977, 118124, 32977, 53283, 31431, 107542, 47884, 56051, 22023, 121755, 30046, 119279, 110071, 124845, 13177, 105408, 5486, 108031, 127814, 33121, 79721, 1811, 122571, 92877, 16995, 79721, 1811, 73686, 56906, 78434, 115204, 102131, 117952, 104028, 119520, 125457, 115847, 16556, 105721, 116547, 91006, 104856, 76947, 112987, 124324, 1811, 110589, 55031, 106135, 112959, 29295, 27704, 115464, 9174, 13177, 36668, 20230, 103192, 64121, 126130, 47884, 116537, 17039, 28713, 26854, 123457, 50928, 96555, 165, 115, 110, 119775, 119184, 30512, 105714, 76947, 17905, 30369, 1811, 102149, 114598, 112294, 30369, 100909, 103470, 5486, 105564, 102532, 32977, 127814, 110615, 115204, 10110, 25197, 103988, 104930, 1272, 5232, 2148, 23954, 55228, 230, 31431, 17129, 109954, 1811, 106711, 103826, 5486, 67645, 103171, 20230, 37026, 120577, 48634, 20230, 115924, 103192, 120837, 5486, 110776, 124121, 103826, 112197, 123457, 20135, 106, 30369, 108789, 103378, 15682, 109373, 30813, 100604, 104466, 107726, 38144, 17297, 65316, 9174, 9458, 117811, 20834, 105586, 15682, 123085, 110776, 102181, 108975, 38093, 44620, 110776, 102181, 80019, 119046, 117735, 36761, 105755, 104076, 110776, 102181, 80019, 119046, 117735, 5232, 320, 66, 8, 119046, 117735, 110776, 102181, 103350, 23039, 114373, 38093, 18362, 10554, 315, 578, 7874, 17377, 39141, 128001, 128000, 122447, 76505, 72516, 198, 53610, 126503, 15682, 13177, 101171, 111, 48634, 10646, 29295, 112258, 249, 58942, 110071, 0, 5380, 108031, 114225, 17039, 110895, 30512, 109169, 105262, 20230, 30591, 115926, 5486, 108710, 16995, 30926, 15682, 99849, 30512, 107726, 101200, 107188, 108861, 19732, 33334, 101128, 102, 64121, 16144, 123050, 112919, 24273, 32977, 43240, 117714, 111769, 123253, 32149, 9174, 43240, 104091, 43240, 103826, 26854, 108710, 16995, 30926, 107407, 26854, 32149, 16556, 124563, 112371, 101860, 104043, 22398, 25197, 101198, 94550, 29295, 126909, 103351, 105879, 109954, 9174, 122582, 33334, 45829, 103826, 16144, 13153, 101544, 125030, 111243, 115552, 16144, 101182, 102944, 103351, 55031, 9174, 22398, 25197, 101198, 94550, 15682, 113614, 28190, 102052, 32977, 43514, 85791, 25827, 36896, 101171, 111, 117503, 102404, 104067, 105352, 119448, 47884, 97518, 58318, 127145, 9174, 66378, 20230, 51330, 46702, 59739, 198, 9458, 35894, 56965, 104736, 53283, 106556, 198, 9458, 120766, 48634, 198, 9458, 101171, 111, 16144, 76706, 34171, 33208, 198, 9458, 101171, 111, 16144, 37823, 32131, 107840, 198, 11144, 35894, 56965, 104736, 53283, 106556, 112479, 53953, 110792, 124349, 71289, 119448, 30813, 30512, 102178, 111665, 54926, 106556, 38641, 9174, 51330, 106556, 15682, 22656, 37507, 48915, 109739, 102802, 50667, 16556, 109683, 19732, 96356, 107294, 47884, 102944, 16556, 56051, 29295, 5486, 60358, 116358, 119951, 127242, 121453, 25287, 47260, 42634, 96452, 116294, 33710, 22398, 99750, 108208, 111571, 16144, 99750, 108208, 26955, 94, 27384, 5486, 71005, 51385, 16144, 109688, 33565, 100, 104309, 5486, 48915, 109739, 102802, 123410, 101513, 38093, 29295, 102700, 106624, 114485, 83747, 127145, 9174, 127012, 8239, 114503, 119185, 198, 9458, 79059, 83301, 124011, 109089, 113245, 103621, 64178, 71289, 124180, 39850, 78983, 110792, 124349, 30512, 102178, 111665, 15024, 9554, 105184, 20230, 107271, 84477, 71289, 80805, 22398, 123410, 110115, 109215, 26854, 106556, 38641, 9174, 9458, 104654, 28190, 77181, 5486, 124349, 71289, 119448, 30813, 16144, 102178, 111665, 20230, 74245, 102971, 54926, 105879, 5486, 17792, 71289, 53953, 20230, 104369, 59739, 124403, 5486, 67645, 16144, 120264, 16144, 124349, 107407, 55031, 67645, 33121, 120264, 16144, 82973, 29295, 115856, 117295, 110371, 111600, 53953, 15682, 110382, 20230, 110226, 115464, 32149, 104405, 32149, 50667, 5486, 96356, 60358, 26854, 120266, 109215, 26854, 106556, 38641, 9174, 9458, 53508, 231, 104195, 16144, 28190, 77181, 66378, 20230, 111629, 83799, 109606, 20230, 104195, 115737, 104533, 117952, 106824, 61689, 9174, 11144, 120766, 48634, 112479, 15120, 118821, 30926, 120910, 20230, 61633, 30512, 120766, 39926, 53953, 30926, 20230, 108167, 103214, 104004, 106556, 38641, 9174, 9458, 95604, 17129, 72661, 124897, 101832, 1811, 120766, 48634, 119703, 19732, 124011, 109089, 72661, 104712, 80805, 108526, 108941, 107446, 29295, 118765, 38641, 123794, 9174, 9458, 104654, 28190, 72661, 5486, 61633, 48634, 29295, 107471, 109620, 77181, 102663, 102472, 71289, 123429, 16144, 24186, 38641, 55031, 114318, 111243, 27384, 102769, 26854, 106556, 38641, 9174, 9458, 53508, 231, 104195, 28190, 77181, 120766, 48634, 29295, 30591, 104984, 126120, 96455, 114652, 96356, 20230, 47000, 47884, 121142, 103470, 106116, 17620, 5486, 82973, 16144, 33655, 16995, 24273, 105352, 106644, 19732, 31431, 29295, 125545, 9174, 11144, 101171, 111, 16144, 76706, 34171, 33208, 112479, 9458, 53610, 126503, 15682, 19361, 108602, 72238, 117401, 16144, 31640, 13372, 113124, 109904, 124011, 109089, 119627, 5486, 19361, 108602, 72238, 117401, 30512, 112990, 101171, 107722, 112506, 29295, 115079, 105262, 102677, 102473, 113702, 32977, 57903, 33541, 9174, 11144, 101171, 111, 16144, 37823, 32131, 107840, 112479, 9458, 17905, 61304, 16144, 76706, 34171, 33208, 16144, 89151, 116900, 106046, 126832, 32149, 110241, 33121, 107515, 29295, 5486, 53610, 107809, 113245, 110456, 106266, 15682, 113116, 51385, 23187, 113266, 16144, 101182, 13177, 64810, 42634, 20251, 78683, 16073, 117503, 17620, 14888, 234, 30512, 113096, 17663, 103846, 5486, 57326, 64178, 16144, 74482, 15682, 109809, 113136, 108608, 102677, 104468, 5486, 112832, 32977, 29295, 106613, 111186, 111587, 64121, 126529, 111769, 123253, 32149, 9174, 127032, 32977, 119436, 32977, 71634 ]
[ 108744, 20230, 115143, 116216, 61689, 105879, 5486, 109809, 113136, 108608, 102677, 109335, 19732, 111243, 107693, 26854, 100909, 38641, 1811, 128001, 128000, 567, 115538, 72369, 78767, 108994, 102860, 113245, 72718, 101275, 109853, 198, 102616, 115191, 111848, 118482, 117501, 93488, 119557, 10110, 10343, 8715, 44245, 8184, 7705, 77181, 5486, 72718, 101275, 16144, 15024, 126172, 30813, 16144, 64467, 13393, 251, 30512, 605, 111831, 20230, 17620, 107441, 9039, 112603, 33208, 15024, 5486, 103664, 7028, 71493, 29504, 10110, 119208, 7705, 30512, 110480, 25129, 122382, 127145, 9174, 51330, 72718, 101275, 16144, 15024, 126172, 30813, 102677, 64467, 105888, 121960, 5486, 118331, 78767, 108994, 102860, 15682, 2366, 15, 110895, 103296, 19, 8107, 89046, 106307, 16556, 110022, 40862, 16, 25129, 30512, 122635, 127145, 9174, 51330, 35083, 122382, 107809, 16556, 5486, 118331, 78767, 108994, 102860, 15682, 36896, 72718, 101275, 16144, 15024, 126172, 30813, 59712, 103087, 35330, 104873, 104067, 16144, 15024, 126172, 30813, 117503, 111831, 16556, 16, 25129, 36896, 103087, 106518, 29741, 61304, 16144, 15024, 126172, 30813, 10646, 16556, 17, 25129, 30512, 122635, 39926, 5486, 110022, 40862, 93488, 119557, 16556, 16, 25129, 104856, 76947, 61689, 9174, 51330, 105156, 82420, 55031, 118331, 78767, 108994, 102860, 15682, 72718, 101275, 15024, 126172, 16995, 117501, 103195, 102677, 100909, 115717, 33541, 9174, 90620, 118331, 78767, 108994, 102860, 121960, 32977, 5486, 37087, 47884, 99849, 126758, 121894, 55031, 55031, 91482, 76428, 102750, 22398, 30512, 118013, 109415, 30369, 104468, 108008, 20230, 31431, 110482, 111108, 38641, 9174, 27452, 116285, 13177, 101721, 48634, 104873, 104067, 16144, 15024, 126172, 30813, 10646, 15682, 20251, 103830, 966, 105352, 17701, 107462, 107515, 9174, 59739, 109709, 121453, 106624, 123357, 32938, 71289, 72516, 124750, 30512, 106391, 58942, 104533, 50834, 5486, 101721, 95221, 16144, 87447, 33035, 29295, 15024, 111108, 16995, 102083, 100472, 100909, 115717, 33541, 9174, 57980, 76947, 102433, 17792, 125030, 76947, 5486, 118331, 78767, 108994, 102860, 125001, 112495, 31431, 72718, 101275, 15024, 126172, 16995, 117501, 29295, 64531, 103836, 102677, 113334, 111769, 19732, 78244, 58942, 33541, 9174, 567, 386, 36121, 111848, 72718, 101275, 39850, 37823, 67075, 198, 17905, 61304, 30512, 119870, 17129, 107290, 5486, 118331, 78767, 108994, 102860, 16556, 110577, 20230, 103768, 112167, 110731, 91482, 76428, 102750, 22398, 104088, 59739, 107441, 44, 36121, 112212, 107691, 110226, 54926, 109335, 102433, 16556, 44, 36121, 123410, 71689, 20230, 37689, 104577, 107407, 19732, 78244, 58942, 33541, 9174, 44, 36121, 127303, 104984, 5486, 123532, 101275, 102351, 30512, 58426, 110674, 25132, 229, 11883, 126693, 5486, 14167, 100, 65854, 32977, 96412, 107436, 58426, 110674, 113801, 120321, 102639, 33541, 9174, 53900, 121453, 106045, 16556, 105335, 26269, 52591, 30512, 43167, 109315, 115789, 118331, 78767, 108994, 102860, 77181, 119237, 77181, 124897, 105879, 5486, 44, 36121, 102677, 46034, 25333, 15682, 17039, 106045, 20230, 118482, 30512, 27704, 109315, 46034, 25333, 126036, 99849, 98406, 32977, 119237, 20230, 91482, 76428, 102750, 22398, 30512, 105335, 84477, 122060, 54926, 105908, 106084, 33541, 9174, 59739, 109709, 110371, 44, 36121, 16144, 46034, 25333, 112212, 121453, 106045, 16556, 72718, 101275, 54926, 126036, 15682, 30369, 111201, 119237, 20230, 118331, 78767, 108994, 102860, 102416, 103130, 20834, 54926, 105908, 88367, 108176, 16144, 38641, 9174, 567, 386, 36121, 16144, 13177, 107691, 16995, 46034, 59712, 105525, 31431, 46034, 117503, 118789, 9554, 39850, 37823, 67075, 198, 47774, 198, 91482, 76428, 102750, 22398, 30512, 107691, 110226, 54926, 110366, 10110, 107691, 16995, 46034, 120732, 39850, 37823, 67075, 198, 9458, 17039, 106045, 20230, 102208, 104091, 16144, 102803, 64810, 107446, 30512, 115181, 54926, 82973, 71289, 47260, 71634, 30512, 21403, 232, 114485, 54926, 105908, 108608, 9174, 9458, 72516, 124750, 5486, 123357, 32938, 104309, 32943, 99741, 49792, 30926, 29295, 113473, 26854, 105879, 110745, 50834, 47884, 47260, 71634, 30512, 21403, 232, 114485, 54926, 105908, 108608, 1811, 72516, 124750, 127303, 104984, 101567, 32648, 9458, 120370, 9458, 104874, 25446, 104309, 30512, 58426, 110674, 115181, 54926, 105908, 108608, 9174, 9458, 118331, 78767, 108994, 102860, 16556, 17039, 106045, 20230, 105335, 26269, 52591, 30512, 118935, 11883, 54926, 109335, 110482, 111108, 26854, 105879, 106116, 110674, 105335, 26269, 52591, 30512, 113801, 120321, 104699, 100909, 112212, 17039, 106045, 25132, 229, 11883, 16144, 8239, 112, 48634, 71289, 47260, 71634, 30512, 21403, 232, 114485, 108608, 1811, 21601, 107290, 58426, 110674, 105335, 26269, 52591, 30512, 113801, 120321, 104699, 100909, 112212, 5486, 106222, 33563, 117126, 116690, 16144, 106548, 103214, 64121, 32977, 113801, 120321, 104699, 105908, 108608, 9174, 9458, 123532, 37507, 16144, 14167, 100, 65854, 30512, 58426, 110674, 113801, 120321, 104699, 105908, 108608, 105879, 5486, 14167, 100, 65854, 122635, 16144, 108285, 58655, 9458, 107322, 108044, 106382, 11883, 30512, 21403, 232, 114485, 108608, 9174, 9458, 107691, 110226, 54926, 91482, 76428, 102750, 22398, 29295, 19361, 54926, 112113, 9458, 101335, 65299, 102040, 65299, 9458, 112167, 101275, 123457, 108167, 104526, 104004, 105908, 108608, 103846, 5486, 118482, 26955, 94, 27384, 16144, 22398, 70563, 65575, 122060, 29295, 125494, 108608, 9174, 9458, 102433, 38641, 16556, 20230, 91482, 76428, 102750, 22398, 117824, 103836, 107803, 5486, 118331, 78767, 108994, 102860, 16144, 91482, 76428, 102750, 22398, 30512, 107691, 110226, 54926, 118733, 123085, 19732, 118331, 78767, 108994, 102860, 16144, 47260, 32131, 103672, 44971, 38248, 115, 78205, 16073, 111848, 50021, 110498, 8239, 114503, 29295, 125494, 108608, 9174, 91482, 76428, 102750, 22398, 30512, 92148, 110, 110968, 54926, 110366, 10110, 105525, 31431, 46034, 120732, 39850, 37823, 67075, 198, 9458, 72516, 124750, 71289, 123357, 32938, 16144, 53229, 103397, 18904, 109095, 106382, 11883, 29295, 21403, 232, 114485, 108608, 1811, 117032, 127303, 104984, 5486, 72516, 124750, 71289, 108695, 30512, 119962, 72516, 9458, 25766, 225, 101275, 54926, 104983, 102052, 5486, 32943, 99741, 71289, 120370, 104309, 30512, 22398, 102663, 108958, 16073, 116446, 102321, 103397, 20230, 18904, 109095, 54926, 104577, 102781, 115991, 106116, 103846, 102052, 125844, 110226, 9458, 125844, 56906, 106382, 11883, 104309, 27384, 112495, 106382, 11883, 29295, 32149, 117295, 119520, 106116, 110674, 105525, 105368, 54926, 100909, 112212, 110371, 106382, 33121, 30512, 21403, 232, 114485, 54926, 105908, 108608, 1811, 59739, 109709, 118482, 30512, 119962, 72516, 9458, 25766, 225, 101275, 54926, 24273, 125030, 76947, 15682, 102147, 226, 26854, 106382, 11883, 30512, 103470, 17663, 105908, 108608, 9174, 9458, 105525, 105368, 112212, 60632, 105576, 30512, 50928, 30369, 105908, 108608, 1811, 44, 36121, 30512, 107740, 54926, 100909, 111848, 105525, 105368, 105576, 30512, 50928, 30369, 105908, 108608, 1811, 124572, 20230, 105525, 105368, 105576, 30512, 50928, 100604, 83799, 16556, 92693, 16556, 105525, 105368, 56051, 103306, 32977, 17905, 61304, 16144, 125844, 110226, 9458, 125844, 56906, 106382, 11883, 30512, 103470, 17663, 105908, 108608, 9174, 9458, 105335, 26269, 52591, 16144, 120321, 106307, 25132, 229, 11883, 30512, 33563, 110322, 120837, 33503, 105262, 1811, 117032, 16144, 119962, 72516, 71289, 25766, 225, 101275, 127303, 104984, 118482, 30512, 119962, 109349, 244, 54926, 100909, 115717, 5486, 105335, 26269, 52591, 15682, 107430, 30512, 21388, 47884, 17663, 100909, 108176, 119520, 5486, 105335, 26269, 52591, 32977, 117032, 44, 36121, 16144, 103359, 47523, 103195, 105879, 106116, 110674, 105335, 26269, 52591, 16144, 107430, 29295, 105184, 33563, 108608, 118844, 15682, 117382, 16144, 106613, 112167, 30046, 103306, 16144, 107693, 26854, 105335, 26269, 52591, 113115, 54926, 25132, 229, 11883, 113160, 49988, 30512, 28873, 28713, 17663, 105908, 108608, 102677, 100909, 108176, 9174, 33334, 99397, 16995, 114146, 9458, 48154, 50021, 111813, 15682, 117896, 102416, 9174, 118331, 78767, 108994, 102860, 16144, 91482, 76428, 102750, 22398, 30512, 13177, 105525, 31431, 106956, 24273, 10646, 36896, 107691, 102334, 16995, 24273, 10646, 15682, 117896, 102416, 89046, 117139, 30512, 39926, 72315, 9174, 1187, 82973, 23897, 32943, 20230, 104196, 22023, 119703, 107803, 5486, 13870, 232, 61337, 16144, 114140, 118487, 33121, 121711, 33541, 127211, 104721, 33334, 46034, 9039, 119627, 88356, 37705, 16995, 90620, 118145, 106515, 16995, 38641, 1811, 128001, 128000, 15120, 11881, 242, 25580, 103296, 107118, 121953, 5486, 52030, 106528, 104599, 16144, 108436, 107430, 102677, 112973, 117902, 106624, 123733, 76947, 50834, 100934, 117840, 66327, 26854, 112371, 108895, 16995, 100472, 127749, 101983, 103836, 104865, 91006, 5486, 51330, 89151, 50021, 109853, 78183, 107277, 126172, 47884, 50338, 108323, 107726, 100481, 90620, 105898, 16995, 106046, 76947, 61689, 9174, 108436, 107430, 76739, 78767, 78349, 52414, 102677, 104468, 5486, 106382, 11883, 110214, 16556, 108436, 107430, 110526, 112919, 50021, 111813, 114475, 76622, 122382, 5486, 114435, 16144, 32018, 17792, 126362, 55031, 28190, 30177, 16144, 39880, 111999, 76428, 104309, 116898, 85791, 103171, 39880, 57207, 71634, 30512, 39926, 124089, 107420, 111661, 26269, 102895, 115307, 43167, 108638, 16144, 106592, 64467, 17663, 16144, 38641, 9174, 108436, 107430, 15682, 19653, 54926, 24273, 125001, 104984, 21388, 113529, 54926, 24273, 32977, 61689, 113637, 121953, 15682, 104405, 39926, 21990, 17129, 106824, 114732, 104865, 11571, 37271, 30591, 112568, 29295, 34273, 110, 111182, 103792, 122481, 77181, 5486, 52030, 106528, 104599, 16144, 108436, 107430, 122692, 103350, 40474, 30512, 102832, 61398, 116446, 5486, 108436, 107430, 30512, 61075, 107380, 114652, 28873, 28713, 17663, 124122, 57933, 29220, 122842, 30512, 48154, 126362, 127145, 9174, 13177, 107430, 102781, 29295, 105994, 102052, 16937, 70141, 50834, 10646, 36896, 107430, 75267, 123727, 117501, 20230, 46065, 112, 108208, 62004, 100604, 10646, 36896, 103283, 16144, 106613, 111186, 30512, 108882, 115226, 66383, 95604, 120208, 55031, 108436, 107430, 56051, 16995, 103306, 32977, 5486, 17905, 65743, 20230, 56906, 107430, 30512, 124730, 20834, 30369, 104468, 105465, 26854, 100909, 77181, 124897, 9174, 13177, 85701, 103296, 71689, 20230, 116907, 16144, 106556, 30512, 102404, 127327, 108608, 108695, 20230, 114731, 62004, 106956, 10646, 36896, 71289, 31431, 125001, 30512, 112391, 106272, 117876, 126198, 16995, 10646, 104309, 5486, 114667, 112987, 85791, 16995, 85791, 72661, 37656, 61337, 102351, 108176, 106592, 30832, 64467, 103792, 24273, 20230, 5486, 37656, 61337, 102351, 108176, 113009, 104650, 37689, 21105, 103, 118145, 105110, 100604, 120098, 30512, 108044, 107141, 78434, 9174, 71208, 58850, 56965, 122692, 35083, 104364, 29295, 123332, 117864, 107118, 117952, 33121, 33541, 29295, 5486, 103963, 61994, 111482, 16144, 108436, 107430, 15682, 57207, 91482, 39880, 36785, 102677, 112973, 103350, 107328, 126529, 38641, 1811, 102131, 15682, 78244, 114598, 5486, 111482, 16144, 104195, 64121, 30512, 21990, 32149, 56051, 41007, 16556, 108436, 107430, 102677, 110526, 30512, 109431, 107800, 24273, 32977, 27384, 110095, 61689, 9174, 103350, 116486, 16144, 101182, 105647, 124955, 108695, 20230, 125104, 54926, 109335, 5486, 74482, 101128, 242, 21105, 103, 16995, 105647, 124955, 104654, 30512, 103188, 48154, 17663, 101399, 16144, 104662, 62004, 46034, 107173, 78244, 58942, 33541, 1811, 123682, 32977, 36896, 104405, 95604, 104346, 116446, 58426, 105647, 124955, 108695, 104088, 126268, 20834, 72342, 81219, 104712, 104865, 37087, 47884, 113727, 59739, 126660, 115204, 102677, 114754, 108008, 20230, 127181, 19732, 104655, 50834, 33541, 9174, 66776, 121298, 32018, 17792, 107294, 50834, 17129, 39926, 15682, 5486, 32018, 17792, 24186, 103195, 114435, 29295, 42016, 101275, 30046, 20230, 108134, 30512, 89753, 56051, 47884, 100604, 102677, 114667, 16556, 5486, 117032, 121640, 102052, 121298, 21105, 103, 117201, 32943, 28741, 20230, 17792, 103234, 122635, 30512, 30832, 64467, 17663, 80805, 102514, 16073, 29295, 27384, 105494, 38641, 9174, 105647, 124955, 108695, 29295, 105647, 124955, 61337, 102351, 20230, 15120, 110408, 15024, 54926, 105647, 124955, 61826, 15682, 36896, 53283, 13372, 27479, 15682, 110924, 27929, 100909, 95604, 112391, 125743, 5486, 117876, 29295, 15024, 126172, 47884, 9953, 110698, 71289, 8239, 112, 122502, 117501, 32977, 111017, 102083, 16995, 115204, 102083, 100472, 110229, 122416, 118816, 119852, 104712, 123253, 9174, 107391, 104612, 29295, 27384, 30926, 19732, 112844, 111482, 29295, 115079, 21601, 101427, 122, 70141, 117083, 19732, 116216, 61689, 29295, 5486, 111482, 16144, 108436, 107430, 15682, 123737, 19732, 125261, 120837, 101851, 102, 78183, 102800, 109606, 29295, 21990, 100204, 30369, 105908, 43240, 47884, 5486, 98897, 111629, 56051, 101200, 102052, 30926, 29295, 103130, 77413, 21105, 103, 16995, 117840, 9174, 966, 31640, 120332, 20230, 25197, 78459, 90962, 57207, 16144, 108436, 107430, 116229, 30512, 93488, 119557, 115707, 16556, 126362, 107726, 38144, 115962, 50834, 33541, 1811, 110382, 118899, 16144, 108436, 107430, 117501, 30512, 37823, 60868, 113335, 39926, 64121, 111243, 116898, 78183, 106644, 30369, 1758, 97049, 48249, 98220, 108323, 126758, 19732, 119852, 56965, 121953, 124897, 15024, 5486, 966, 31640, 74482, 103268, 104856, 76947, 55031, 108436, 107430, 117824, 30297, 107803, 72661, 16937, 60632, 108176, 109335, 26854, 30813, 102131, 38641, 9174, 15120, 40526, 20230, 81258, 107430, 112415, 19732, 78244, 114598, 5486, 117734, 21990, 115287, 31431, 102667, 21990, 29295, 23039, 26854, 30297, 102944, 19732, 5486, 91482, 76428, 102750, 22398, 111817, 29295, 127177, 114435, 20230, 108436, 107430, 56051, 16995, 19732, 98897, 111629, 39926, 23039, 26854, 30297, 102944, 16144, 17, 59739, 20230, 17620, 32149, 33121, 33541, 1811, 53508, 123, 105242, 106116, 91875, 50834, 24273, 102677, 104468, 112361, 104446, 124897, 9174, 108436, 107430, 116229, 30512, 104405, 16995, 100472, 83799, 16556, 76706, 11883, 54926, 32149, 16556, 5486, 113702, 32977, 108010, 76947, 50834, 33541, 1811, 109933, 107446, 30512, 110074, 30813, 101860, 46034, 116446, 115962, 47884, 113009, 5486, 107430, 104091, 121410, 20230, 107740, 95001, 112603, 16144, 126574, 108436, 107430, 116229, 30512, 93488, 119557, 20230, 123011, 107436, 48154, 81742, 32943, 16325, 38641, 9174, 20713, 118821, 108436, 107430, 116229, 20230, 9554, 30512, 58254, 252, 76947, 125104, 54926, 16144, 104446, 103470, 5486, 108010, 30297, 108436, 107430, 116229, 105352, 125104, 30512, 39926, 36896, 58426, 37087, 38144, 30512, 125261, 39926, 55031, 102782, 15024, 104526, 104004, 66383, 95604, 112973, 5486, 111575, 16144, 108436, 107430, 30512, 13153, 15024, 30250, 224, 102639, 30369, 124122, 107693, 28542, 38641, 9174, 81258, 107430, 29295, 110482, 111108 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 108744, 20230, 115143, 116216, 61689, 105879, 5486, 109809, 113136, 108608, 102677, 109335, 19732, 111243, 107693, 26854, 100909, 38641, 1811, 128001, 128000, 567, 115538, 72369, 78767, 108994, 102860, 113245, 72718, 101275, 109853, 198, 102616, 115191, 111848, 118482, 117501, 93488, 119557, 10110, 10343, 8715, 44245, 8184, 7705, 77181, 5486, 72718, 101275, 16144, 15024, 126172, 30813, 16144, 64467, 13393, 251, 30512, 605, 111831, 20230, 17620, 107441, 9039, 112603, 33208, 15024, 5486, 103664, 7028, 71493, 29504, 10110, 119208, 7705, 30512, 110480, 25129, 122382, 127145, 9174, 51330, 72718, 101275, 16144, 15024, 126172, 30813, 102677, 64467, 105888, 121960, 5486, 118331, 78767, 108994, 102860, 15682, 2366, 15, 110895, 103296, 19, 8107, 89046, 106307, 16556, 110022, 40862, 16, 25129, 30512, 122635, 127145, 9174, 51330, 35083, 122382, 107809, 16556, 5486, 118331, 78767, 108994, 102860, 15682, 36896, 72718, 101275, 16144, 15024, 126172, 30813, 59712, 103087, 35330, 104873, 104067, 16144, 15024, 126172, 30813, 117503, 111831, 16556, 16, 25129, 36896, 103087, 106518, 29741, 61304, 16144, 15024, 126172, 30813, 10646, 16556, 17, 25129, 30512, 122635, 39926, 5486, 110022, 40862, 93488, 119557, 16556, 16, 25129, 104856, 76947, 61689, 9174, 51330, 105156, 82420, 55031, 118331, 78767, 108994, 102860, 15682, 72718, 101275, 15024, 126172, 16995, 117501, 103195, 102677, 100909, 115717, 33541, 9174, 90620, 118331, 78767, 108994, 102860, 121960, 32977, 5486, 37087, 47884, 99849, 126758, 121894, 55031, 55031, 91482, 76428, 102750, 22398, 30512, 118013, 109415, 30369, 104468, 108008, 20230, 31431, 110482, 111108, 38641, 9174, 27452, 116285, 13177, 101721, 48634, 104873, 104067, 16144, 15024, 126172, 30813, 10646, 15682, 20251, 103830, 966, 105352, 17701, 107462, 107515, 9174, 59739, 109709, 121453, 106624, 123357, 32938, 71289, 72516, 124750, 30512, 106391, 58942, 104533, 50834, 5486, 101721, 95221, 16144, 87447, 33035, 29295, 15024, 111108, 16995, 102083, 100472, 100909, 115717, 33541, 9174, 57980, 76947, 102433, 17792, 125030, 76947, 5486, 118331, 78767, 108994, 102860, 125001, 112495, 31431, 72718, 101275, 15024, 126172, 16995, 117501, 29295, 64531, 103836, 102677, 113334, 111769, 19732, 78244, 58942, 33541, 9174, 567, 386, 36121, 111848, 72718, 101275, 39850, 37823, 67075, 198, 17905, 61304, 30512, 119870, 17129, 107290, 5486, 118331, 78767, 108994, 102860, 16556, 110577, 20230, 103768, 112167, 110731, 91482, 76428, 102750, 22398, 104088, 59739, 107441, 44, 36121, 112212, 107691, 110226, 54926, 109335, 102433, 16556, 44, 36121, 123410, 71689, 20230, 37689, 104577, 107407, 19732, 78244, 58942, 33541, 9174, 44, 36121, 127303, 104984, 5486, 123532, 101275, 102351, 30512, 58426, 110674, 25132, 229, 11883, 126693, 5486, 14167, 100, 65854, 32977, 96412, 107436, 58426, 110674, 113801, 120321, 102639, 33541, 9174, 53900, 121453, 106045, 16556, 105335, 26269, 52591, 30512, 43167, 109315, 115789, 118331, 78767, 108994, 102860, 77181, 119237, 77181, 124897, 105879, 5486, 44, 36121, 102677, 46034, 25333, 15682, 17039, 106045, 20230, 118482, 30512, 27704, 109315, 46034, 25333, 126036, 99849, 98406, 32977, 119237, 20230, 91482, 76428, 102750, 22398, 30512, 105335, 84477, 122060, 54926, 105908, 106084, 33541, 9174, 59739, 109709, 110371, 44, 36121, 16144, 46034, 25333, 112212, 121453, 106045, 16556, 72718, 101275, 54926, 126036, 15682, 30369, 111201, 119237, 20230, 118331, 78767, 108994, 102860, 102416, 103130, 20834, 54926, 105908, 88367, 108176, 16144, 38641, 9174, 567, 386, 36121, 16144, 13177, 107691, 16995, 46034, 59712, 105525, 31431, 46034, 117503, 118789, 9554, 39850, 37823, 67075, 198, 47774, 198, 91482, 76428, 102750, 22398, 30512, 107691, 110226, 54926, 110366, 10110, 107691, 16995, 46034, 120732, 39850, 37823, 67075, 198, 9458, 17039, 106045, 20230, 102208, 104091, 16144, 102803, 64810, 107446, 30512, 115181, 54926, 82973, 71289, 47260, 71634, 30512, 21403, 232, 114485, 54926, 105908, 108608, 9174, 9458, 72516, 124750, 5486, 123357, 32938, 104309, 32943, 99741, 49792, 30926, 29295, 113473, 26854, 105879, 110745, 50834, 47884, 47260, 71634, 30512, 21403, 232, 114485, 54926, 105908, 108608, 1811, 72516, 124750, 127303, 104984, 101567, 32648, 9458, 120370, 9458, 104874, 25446, 104309, 30512, 58426, 110674, 115181, 54926, 105908, 108608, 9174, 9458, 118331, 78767, 108994, 102860, 16556, 17039, 106045, 20230, 105335, 26269, 52591, 30512, 118935, 11883, 54926, 109335, 110482, 111108, 26854, 105879, 106116, 110674, 105335, 26269, 52591, 30512, 113801, 120321, 104699, 100909, 112212, 17039, 106045, 25132, 229, 11883, 16144, 8239, 112, 48634, 71289, 47260, 71634, 30512, 21403, 232, 114485, 108608, 1811, 21601, 107290, 58426, 110674, 105335, 26269, 52591, 30512, 113801, 120321, 104699, 100909, 112212, 5486, 106222, 33563, 117126, 116690, 16144, 106548, 103214, 64121, 32977, 113801, 120321, 104699, 105908, 108608, 9174, 9458, 123532, 37507, 16144, 14167, 100, 65854, 30512, 58426, 110674, 113801, 120321, 104699, 105908, 108608, 105879, 5486, 14167, 100, 65854, 122635, 16144, 108285, 58655, 9458, 107322, 108044, 106382, 11883, 30512, 21403, 232, 114485, 108608, 9174, 9458, 107691, 110226, 54926, 91482, 76428, 102750, 22398, 29295, 19361, 54926, 112113, 9458, 101335, 65299, 102040, 65299, 9458, 112167, 101275, 123457, 108167, 104526, 104004, 105908, 108608, 103846, 5486, 118482, 26955, 94, 27384, 16144, 22398, 70563, 65575, 122060, 29295, 125494, 108608, 9174, 9458, 102433, 38641, 16556, 20230, 91482, 76428, 102750, 22398, 117824, 103836, 107803, 5486, 118331, 78767, 108994, 102860, 16144, 91482, 76428, 102750, 22398, 30512, 107691, 110226, 54926, 118733, 123085, 19732, 118331, 78767, 108994, 102860, 16144, 47260, 32131, 103672, 44971, 38248, 115, 78205, 16073, 111848, 50021, 110498, 8239, 114503, 29295, 125494, 108608, 9174, 91482, 76428, 102750, 22398, 30512, 92148, 110, 110968, 54926, 110366, 10110, 105525, 31431, 46034, 120732, 39850, 37823, 67075, 198, 9458, 72516, 124750, 71289, 123357, 32938, 16144, 53229, 103397, 18904, 109095, 106382, 11883, 29295, 21403, 232, 114485, 108608, 1811, 117032, 127303, 104984, 5486, 72516, 124750, 71289, 108695, 30512, 119962, 72516, 9458, 25766, 225, 101275, 54926, 104983, 102052, 5486, 32943, 99741, 71289, 120370, 104309, 30512, 22398, 102663, 108958, 16073, 116446, 102321, 103397, 20230, 18904, 109095, 54926, 104577, 102781, 115991, 106116, 103846, 102052, 125844, 110226, 9458, 125844, 56906, 106382, 11883, 104309, 27384, 112495, 106382, 11883, 29295, 32149, 117295, 119520, 106116, 110674, 105525, 105368, 54926, 100909, 112212, 110371, 106382, 33121, 30512, 21403, 232, 114485, 54926, 105908, 108608, 1811, 59739, 109709, 118482, 30512, 119962, 72516, 9458, 25766, 225, 101275, 54926, 24273, 125030, 76947, 15682, 102147, 226, 26854, 106382, 11883, 30512, 103470, 17663, 105908, 108608, 9174, 9458, 105525, 105368, 112212, 60632, 105576, 30512, 50928, 30369, 105908, 108608, 1811, 44, 36121, 30512, 107740, 54926, 100909, 111848, 105525, 105368, 105576, 30512, 50928, 30369, 105908, 108608, 1811, 124572, 20230, 105525, 105368, 105576, 30512, 50928, 100604, 83799, 16556, 92693, 16556, 105525, 105368, 56051, 103306, 32977, 17905, 61304, 16144, 125844, 110226, 9458, 125844, 56906, 106382, 11883, 30512, 103470, 17663, 105908, 108608, 9174, 9458, 105335, 26269, 52591, 16144, 120321, 106307, 25132, 229, 11883, 30512, 33563, 110322, 120837, 33503, 105262, 1811, 117032, 16144, 119962, 72516, 71289, 25766, 225, 101275, 127303, 104984, 118482, 30512, 119962, 109349, 244, 54926, 100909, 115717, 5486, 105335, 26269, 52591, 15682, 107430, 30512, 21388, 47884, 17663, 100909, 108176, 119520, 5486, 105335, 26269, 52591, 32977, 117032, 44, 36121, 16144, 103359, 47523, 103195, 105879, 106116, 110674, 105335, 26269, 52591, 16144, 107430, 29295, 105184, 33563, 108608, 118844, 15682, 117382, 16144, 106613, 112167, 30046, 103306, 16144, 107693, 26854, 105335, 26269, 52591, 113115, 54926, 25132, 229, 11883, 113160, 49988, 30512, 28873, 28713, 17663, 105908, 108608, 102677, 100909, 108176, 9174, 33334, 99397, 16995, 114146, 9458, 48154, 50021, 111813, 15682, 117896, 102416, 9174, 118331, 78767, 108994, 102860, 16144, 91482, 76428, 102750, 22398, 30512, 13177, 105525, 31431, 106956, 24273, 10646, 36896, 107691, 102334, 16995, 24273, 10646, 15682, 117896, 102416, 89046, 117139, 30512, 39926, 72315, 9174, 1187, 82973, 23897, 32943, 20230, 104196, 22023, 119703, 107803, 5486, 13870, 232, 61337, 16144, 114140, 118487, 33121, 121711, 33541, 127211, 104721, 33334, 46034, 9039, 119627, 88356, 37705, 16995, 90620, 118145, 106515, 16995, 38641, 1811, 128001, 128000, 15120, 11881, 242, 25580, 103296, 107118, 121953, 5486, 52030, 106528, 104599, 16144, 108436, 107430, 102677, 112973, 117902, 106624, 123733, 76947, 50834, 100934, 117840, 66327, 26854, 112371, 108895, 16995, 100472, 127749, 101983, 103836, 104865, 91006, 5486, 51330, 89151, 50021, 109853, 78183, 107277, 126172, 47884, 50338, 108323, 107726, 100481, 90620, 105898, 16995, 106046, 76947, 61689, 9174, 108436, 107430, 76739, 78767, 78349, 52414, 102677, 104468, 5486, 106382, 11883, 110214, 16556, 108436, 107430, 110526, 112919, 50021, 111813, 114475, 76622, 122382, 5486, 114435, 16144, 32018, 17792, 126362, 55031, 28190, 30177, 16144, 39880, 111999, 76428, 104309, 116898, 85791, 103171, 39880, 57207, 71634, 30512, 39926, 124089, 107420, 111661, 26269, 102895, 115307, 43167, 108638, 16144, 106592, 64467, 17663, 16144, 38641, 9174, 108436, 107430, 15682, 19653, 54926, 24273, 125001, 104984, 21388, 113529, 54926, 24273, 32977, 61689, 113637, 121953, 15682, 104405, 39926, 21990, 17129, 106824, 114732, 104865, 11571, 37271, 30591, 112568, 29295, 34273, 110, 111182, 103792, 122481, 77181, 5486, 52030, 106528, 104599, 16144, 108436, 107430, 122692, 103350, 40474, 30512, 102832, 61398, 116446, 5486, 108436, 107430, 30512, 61075, 107380, 114652, 28873, 28713, 17663, 124122, 57933, 29220, 122842, 30512, 48154, 126362, 127145, 9174, 13177, 107430, 102781, 29295, 105994, 102052, 16937, 70141, 50834, 10646, 36896, 107430, 75267, 123727, 117501, 20230, 46065, 112, 108208, 62004, 100604, 10646, 36896, 103283, 16144, 106613, 111186, 30512, 108882, 115226, 66383, 95604, 120208, 55031, 108436, 107430, 56051, 16995, 103306, 32977, 5486, 17905, 65743, 20230, 56906, 107430, 30512, 124730, 20834, 30369, 104468, 105465, 26854, 100909, 77181, 124897, 9174, 13177, 85701, 103296, 71689, 20230, 116907, 16144, 106556, 30512, 102404, 127327, 108608, 108695, 20230, 114731, 62004, 106956, 10646, 36896, 71289, 31431, 125001, 30512, 112391, 106272, 117876, 126198, 16995, 10646, 104309, 5486, 114667, 112987, 85791, 16995, 85791, 72661, 37656, 61337, 102351, 108176, 106592, 30832, 64467, 103792, 24273, 20230, 5486, 37656, 61337, 102351, 108176, 113009, 104650, 37689, 21105, 103, 118145, 105110, 100604, 120098, 30512, 108044, 107141, 78434, 9174, 71208, 58850, 56965, 122692, 35083, 104364, 29295, 123332, 117864, 107118, 117952, 33121, 33541, 29295, 5486, 103963, 61994, 111482, 16144, 108436, 107430, 15682, 57207, 91482, 39880, 36785, 102677, 112973, 103350, 107328, 126529, 38641, 1811, 102131, 15682, 78244, 114598, 5486, 111482, 16144, 104195, 64121, 30512, 21990, 32149, 56051, 41007, 16556, 108436, 107430, 102677, 110526, 30512, 109431, 107800, 24273, 32977, 27384, 110095, 61689, 9174, 103350, 116486, 16144, 101182, 105647, 124955, 108695, 20230, 125104, 54926, 109335, 5486, 74482, 101128, 242, 21105, 103, 16995, 105647, 124955, 104654, 30512, 103188, 48154, 17663, 101399, 16144, 104662, 62004, 46034, 107173, 78244, 58942, 33541, 1811, 123682, 32977, 36896, 104405, 95604, 104346, 116446, 58426, 105647, 124955, 108695, 104088, 126268, 20834, 72342, 81219, 104712, 104865, 37087, 47884, 113727, 59739, 126660, 115204, 102677, 114754, 108008, 20230, 127181, 19732, 104655, 50834, 33541, 9174, 66776, 121298, 32018, 17792, 107294, 50834, 17129, 39926, 15682, 5486, 32018, 17792, 24186, 103195, 114435, 29295, 42016, 101275, 30046, 20230, 108134, 30512, 89753, 56051, 47884, 100604, 102677, 114667, 16556, 5486, 117032, 121640, 102052, 121298, 21105, 103, 117201, 32943, 28741, 20230, 17792, 103234, 122635, 30512, 30832, 64467, 17663, 80805, 102514, 16073, 29295, 27384, 105494, 38641, 9174, 105647, 124955, 108695, 29295, 105647, 124955, 61337, 102351, 20230, 15120, 110408, 15024, 54926, 105647, 124955, 61826, 15682, 36896, 53283, 13372, 27479, 15682, 110924, 27929, 100909, 95604, 112391, 125743, 5486, 117876, 29295, 15024, 126172, 47884, 9953, 110698, 71289, 8239, 112, 122502, 117501, 32977, 111017, 102083, 16995, 115204, 102083, 100472, 110229, 122416, 118816, 119852, 104712, 123253, 9174, 107391, 104612, 29295, 27384, 30926, 19732, 112844, 111482, 29295, 115079, 21601, 101427, 122, 70141, 117083, 19732, 116216, 61689, 29295, 5486, 111482, 16144, 108436, 107430, 15682, 123737, 19732, 125261, 120837, 101851, 102, 78183, 102800, 109606, 29295, 21990, 100204, 30369, 105908, 43240, 47884, 5486, 98897, 111629, 56051, 101200, 102052, 30926, 29295, 103130, 77413, 21105, 103, 16995, 117840, 9174, 966, 31640, 120332, 20230, 25197, 78459, 90962, 57207, 16144, 108436, 107430, 116229, 30512, 93488, 119557, 115707, 16556, 126362, 107726, 38144, 115962, 50834, 33541, 1811, 110382, 118899, 16144, 108436, 107430, 117501, 30512, 37823, 60868, 113335, 39926, 64121, 111243, 116898, 78183, 106644, 30369, 1758, 97049, 48249, 98220, 108323, 126758, 19732, 119852, 56965, 121953, 124897, 15024, 5486, 966, 31640, 74482, 103268, 104856, 76947, 55031, 108436, 107430, 117824, 30297, 107803, 72661, 16937, 60632, 108176, 109335, 26854, 30813, 102131, 38641, 9174, 15120, 40526, 20230, 81258, 107430, 112415, 19732, 78244, 114598, 5486, 117734, 21990, 115287, 31431, 102667, 21990, 29295, 23039, 26854, 30297, 102944, 19732, 5486, 91482, 76428, 102750, 22398, 111817, 29295, 127177, 114435, 20230, 108436, 107430, 56051, 16995, 19732, 98897, 111629, 39926, 23039, 26854, 30297, 102944, 16144, 17, 59739, 20230, 17620, 32149, 33121, 33541, 1811, 53508, 123, 105242, 106116, 91875, 50834, 24273, 102677, 104468, 112361, 104446, 124897, 9174, 108436, 107430, 116229, 30512, 104405, 16995, 100472, 83799, 16556, 76706, 11883, 54926, 32149, 16556, 5486, 113702, 32977, 108010, 76947, 50834, 33541, 1811, 109933, 107446, 30512, 110074, 30813, 101860, 46034, 116446, 115962, 47884, 113009, 5486, 107430, 104091, 121410, 20230, 107740, 95001, 112603, 16144, 126574, 108436, 107430, 116229, 30512, 93488, 119557, 20230, 123011, 107436, 48154, 81742, 32943, 16325, 38641, 9174, 20713, 118821, 108436, 107430, 116229, 20230, 9554, 30512, 58254, 252, 76947, 125104, 54926, 16144, 104446, 103470, 5486, 108010, 30297, 108436, 107430, 116229, 105352, 125104, 30512, 39926, 36896, 58426, 37087, 38144, 30512, 125261, 39926, 55031, 102782, 15024, 104526, 104004, 66383, 95604, 112973, 5486, 111575, 16144, 108436, 107430, 30512, 13153, 15024, 30250, 224, 102639, 30369, 124122, 107693, 28542, 38641, 9174, 81258, 107430, 29295, 110482, 111108 ]
[ 36785, 102677, 103001, 228, 50834, 29295, 104655, 22957, 107290, 109749, 113146, 20230, 110745, 104721, 26854, 114284, 30512, 39926, 17701, 61337, 56051, 110115, 5486, 108436, 107430, 56051, 16995, 19732, 112391, 30369, 101200, 108176, 104468, 104405, 39926, 32149, 11571, 108436, 107430, 119607, 119150, 101200, 110276, 27384, 112495, 114667, 30512, 48154, 122984, 107726, 38144, 115962, 108895, 106046, 61689, 1811, 128001, 128000, 101682, 111186, 21990, 16144, 112073, 98369, 5486, 101682, 111186, 103359, 105226, 15682, 103130, 104127, 61689, 123253, 32149, 9174, 29504, 80195, 102667, 101682, 111186, 15682, 5486, 120690, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 16144, 41920, 38574, 106391, 13153, 16144, 103846, 117119, 32149, 19732, 103359, 105226, 29295, 109215, 38641, 123794, 9174, 51330, 77219, 77181, 5486, 29504, 80195, 102667, 114475, 111186, 54926, 24273, 121254, 107441, 5486, 101682, 111186, 9080, 103296, 16144, 22398, 102663, 115478, 64178, 71289, 53508, 231, 104195, 25333, 123160, 104987, 105838, 25333, 30512, 123011, 107436, 23039, 105898, 16995, 106046, 61689, 9174, 567, 103774, 80195, 102667, 16144, 17701, 106081, 16144, 106548, 103214, 64121, 198, 101682, 111186, 21990, 127303, 104984, 17663, 16556, 20230, 48154, 25359, 53283, 36785, 106046, 61689, 29295, 5486, 29504, 80195, 102667, 16144, 17701, 106081, 15682, 5486, 120690, 106081, 111186, 7, 111573, 106081, 111186, 8, 19732, 108048, 108422, 33121, 16144, 102667, 29295, 118028, 76428, 115307, 16556, 19967, 13153, 103792, 41920, 33671, 106081, 111186, 16144, 41920, 38574, 106391, 13153, 104856, 76947, 61689, 9174, 120690, 106081, 111186, 16144, 50928, 28542, 96455, 19732, 127862, 33671, 106081, 111186, 16144, 50928, 28542, 96455, 5486, 110176, 24273, 114146, 28713, 102944, 29295, 107624, 95001, 84389, 5486, 50928, 28542, 96455, 29295, 126574, 110480, 20230, 23187, 102351, 17792, 9039, 20230, 104067, 54926, 103296, 127706, 121711, 33541, 9174, 53900, 5486, 120690, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 16144, 50928, 28542, 16144, 107624, 95001, 15682, 5486, 102208, 102667, 5486, 102208, 48864, 34048, 113468, 108901, 26854, 31431, 33541, 9174, 27452, 116285, 5486, 120690, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 30512, 20, 25, 20, 16144, 111017, 40862, 16556, 50928, 28542, 33208, 39926, 107624, 95001, 54926, 110229, 32977, 57903, 33541, 15024, 111476, 19, 25, 21, 103306, 127862, 33671, 106081, 111186, 30512, 71289, 71289, 30358, 103984, 54926, 102677, 107803, 32977, 57903, 33541, 9174, 567, 113978, 16073, 102514, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 16144, 121953, 198, 120690, 106081, 111186, 198, 120690, 106081, 111186, 107118, 117952, 81219, 102208, 70626, 118322, 75146, 17920, 236, 109904, 109606, 16144, 43167, 109709, 19732, 78244, 58942, 33541, 118855, 5486, 109606, 16144, 115707, 15682, 127359, 105048, 57207, 84477, 76868, 116787, 5486, 101182, 113314, 110904, 102158, 16144, 109163, 61304, 71289, 5486, 75146, 17920, 236, 109904, 80805, 102514, 16073, 30512, 112854, 107290, 33334, 47884, 105908, 103082, 104984, 5486, 66378, 105586, 96455, 30512, 109415, 30369, 105908, 125545, 9174, 41920, 33671, 106081, 111186, 198, 41920, 33671, 106081, 111186, 15682, 102208, 102667, 29295, 118028, 76428, 115307, 16556, 19967, 13153, 103792, 109606, 115717, 33541, 1811, 120690, 106081, 111186, 105755, 32149, 15682, 111108, 87844, 27479, 29295, 126574, 107803, 29295, 43240, 47884, 5486, 75146, 17920, 236, 109904, 109606, 55031, 5486, 102404, 77413, 109904, 109606, 103296, 125334, 84389, 33541, 109807, 103846, 5486, 102404, 77413, 109904, 45736, 111108, 87844, 27479, 16144, 109606, 30512, 50338, 105784, 32149, 50338, 124324, 32149, 16556, 110745, 50834, 47884, 104364, 29295, 59739, 126145, 78698, 107290, 103424, 117201, 109954, 9174, 51330, 120690, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 5486, 119045, 112535, 99849, 29295, 108010, 30297, 32149, 19732, 78244, 61689, 19732, 5486, 101860, 81219, 31431, 198, 37026, 120577, 103892, 16556, 78698, 107290, 109606, 30512, 102404, 77413, 107726, 38144, 50338, 104662, 54926, 106556, 29295, 109215, 32149, 5486, 109215, 110034, 32149, 82530, 38641, 51447, 120690, 106081, 111186, 16144, 118687, 30512, 27452, 20230, 78698, 107290, 64121, 104533, 17620, 107277, 126172, 16995, 119627, 5486, 109606, 30512, 50338, 16995, 100481, 47884, 110115, 109215, 26854, 38574, 108167, 15682, 37087, 38144, 20834, 104482, 30046, 29295, 103130, 107436, 120700, 33541, 123794, 109900, 20230, 114146, 38144, 122282, 30512, 109768, 47884, 112973, 120690, 106081, 111186, 38641, 9174, 119627, 41920, 33671, 106081, 111186, 16144, 126513, 5486, 109606, 116771, 29295, 58318, 58942, 102204, 108048, 30512, 67645, 120950, 38574, 108167, 16556, 50338, 16995, 100481, 47884, 32149, 15682, 5486, 37087, 38144, 37026, 120577, 103892, 16556, 113727, 103470, 38144, 15682, 105110, 100604, 16144, 38641, 9174, 567, 103774, 80195, 102667, 17701, 106081, 113978, 16073, 102514, 106081, 111186, 30512, 104584, 105150, 54926, 110115, 109215, 26854, 48634, 107118, 5380, 29504, 80195, 102667, 17701, 106081, 20230, 109215, 26854, 120690, 106081, 111186, 16144, 70626, 30832, 15682, 5486, 108936, 9554, 102052, 76208, 100927, 70626, 103305, 70626, 30832, 19732, 117952, 33121, 115408, 80195, 102667, 16144, 108936, 17701, 106081, 126036, 121819, 105987, 112535, 70626, 30832, 9039, 29295, 43240, 47884, 5486, 126120, 96455, 103424, 47884, 53508, 231, 104195, 30512, 103130, 62004, 100481, 47884, 105908, 32018, 62004, 102204, 33541, 9174, 119627, 110371, 120690, 106081, 111186, 103359, 105226, 5486, 103856, 47884, 27704, 62004, 104984, 126521, 102677, 102944, 72661, 100604, 106046, 61689, 9174, 120690, 106081, 111186, 30512, 104584, 105150, 54926, 110115, 109215, 26854, 48634, 15682, 5486, 88852, 16144, 121640, 107188, 106046, 61689, 9174, 120690, 106081, 111186, 30512, 104584, 105150, 54926, 110115, 109215, 26854, 48634, 198, 9458, 102208, 70626, 118322, 75146, 17920, 236, 48634, 198, 9458, 120690, 106081, 111186, 30512, 50338, 47884, 110115, 66378, 33208, 56051, 48634, 198, 102208, 70626, 118322, 75146, 17920, 236, 48634, 15682, 127862, 33671, 106081, 111186, 71289, 86127, 80195, 16144, 108936, 17701, 106081, 16144, 103359, 105226, 30512, 109768, 104533, 109683, 20230, 113598, 126832, 32149, 106046, 61689, 9174, 30591, 19732, 15120, 59739, 15682, 5486, 120690, 106081, 111186, 30512, 50338, 47884, 110115, 66378, 33208, 56051, 48634, 38641, 9174, 120690, 106081, 111186, 15682, 68759, 105048, 57207, 84477, 76868, 103195, 100909, 71289, 5486, 106649, 16995, 82973, 20230, 48249, 125398, 100909, 104309, 5486, 23706, 244, 107407, 103846, 116898, 126910, 41920, 33671, 106081, 111186, 16144, 109606, 30512, 50338, 105784, 101200, 101983, 114598, 5486, 120690, 106081, 111186, 29295, 50338, 76622, 104533, 15682, 48249, 110104, 16144, 38641, 9174, 51330, 48634, 116825, 105784, 102052, 111476, 104328, 28713, 17663, 33503, 103188, 86436, 99397, 71289, 5486, 54872, 101658, 105, 106081, 111186, 109606, 43167, 30512, 50338, 47884, 106592, 33334, 53508, 100, 62004, 78434, 9174, 567, 113978, 16073, 102514, 106081, 111186, 103359, 105226, 15682, 108064, 55031, 27704, 109315, 0, 5380, 103188, 86436, 99397, 71289, 54872, 101658, 105, 106081, 111186, 109606, 43167, 30512, 50338, 50834, 27704, 109315, 104468, 198, 120690, 106081, 111186, 16144, 17, 56040, 18, 113746, 25580, 55031, 29295, 103424, 118544, 106046, 61689, 1811, 113170, 109709, 103856, 47884, 55031, 120690, 106081, 111186, 16144, 103359, 105226, 20230, 82973, 119707, 76622, 120195, 30369, 104468, 109688, 117126, 19732, 78244, 58942, 33541, 9174, 123628, 105904, 72661, 102181, 102334, 121640, 127862, 33671, 106081, 111186, 120332, 29295, 5486, 120690, 106081, 111186, 126036, 105994, 16556, 78698, 105262, 48634, 29295, 32018, 62004, 110071, 103846, 5486, 108608, 103378, 101544, 16995, 82973, 30512, 41920, 33671, 106081, 111186, 103359, 105226, 20230, 40265, 125655, 112973, 50928, 105226, 19732, 78244, 58942, 33541, 9174, 85701, 32977, 123628, 105904, 72661, 123011, 107436, 61689, 29295, 110371, 41920, 33671, 106081, 111186, 103359, 105226, 15682, 5486, 120690, 106081, 111186, 105352, 109215, 26854, 75146, 17920, 236, 123457, 113598, 30297, 105908, 108608, 103846, 5486, 120690, 106081, 111186, 103268, 8107, 25580, 104309, 16556, 123213, 35083, 109904, 120690, 106081, 111186, 103359, 105226, 30512, 112185, 85707, 62004, 100481, 103470, 111243, 118220, 30369, 109215, 15682, 124897, 9174, 120690, 106081, 111186, 103359, 105226, 15682, 5486, 120690, 106081, 111186, 106063, 66378, 16144, 109606, 115707, 20230, 101557, 96, 104028, 103846, 17, 56040, 18, 113746, 16556, 43167, 105363, 120650, 16995, 17129, 109954, 9174, 41920, 33671, 106081, 111186, 103359, 105226, 16556, 75146, 17920, 236, 29295, 107608, 17129, 107462, 104984, 108149, 107118, 120690, 106081, 111186, 16144, 109606, 20230, 101557, 96, 33121, 104984, 101557, 96, 104028, 103378, 122603, 50928, 28542, 30512, 101462, 247, 30297, 105908, 125545, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 103351, 123253, 32149, 125939, 18904, 15682, 5486, 29504, 80195, 102667, 17701, 106081, 16144, 64209, 50928, 30512, 123011, 107436, 64121, 79721, 9174, 86127, 32977, 29504, 80195, 102667, 114475, 111186, 56051, 106613, 111186, 30046, 119627, 5486, 105184, 111201, 120690, 106081, 111186, 16144, 103359, 105226, 30512, 21105, 97, 59739, 127862, 33671, 106081, 111186, 16144, 103359, 105226, 32977, 54926, 82530, 102677, 104468, 26854, 107188, 32149, 27384, 104721, 16556, 56051, 1811, 119627, 5486, 127408, 101983, 104984, 109020, 108680, 120766, 103082, 103470, 109020, 102944, 38641, 1811, 120690, 106081, 111186, 103359, 105226, 15682, 123090, 18904, 120837, 27384, 121313, 3001, 120690, 106081, 111186, 103359, 105226, 15682, 605, 9953, 55031, 3001, 104309, 105994, 16556, 31958, 105184, 26854, 19967, 102669, 30512, 121697, 38144, 5486, 67645, 42891, 15024, 31431, 106391, 107290, 118322, 123628, 109606, 20230, 120766, 54926, 112973, 103424, 118544, 106046, 61689, 1811, 128001, 128000, 120007, 16144, 106592, 113727, 101860, 105994, 104284, 124475, 53953, 30926, 30512, 103130, 107436, 114732, 71208, 124911, 76947, 61689, 123794, 1811, 115364, 100909, 122416, 16556, 120007, 16144, 106592, 113727, 110615, 17792, 19732, 114308, 40862, 30297, 16144, 76947, 116898, 126910, 120111, 72661, 37656, 74245, 15024, 124592, 16995, 38641, 123794, 125939, 18904, 15682, 5486, 105994, 104284, 46034, 26854, 71208, 16144, 66378, 17599, 112, 5486, 30297, 17129, 47884, 114308, 40862, 107462, 47884, 124122, 47260, 103223, 104309, 126362, 109768, 50834, 61689, 9174, 122481, 47260, 108304, 119495, 198, 567, 63091, 17620, 104284, 46034, 26854, 71208, 16144, 66378, 17599, 112, 198, 105994, 104284, 46034, 26854, 71208, 16144, 66378, 17599, 112, 76947, 67645, 103171, 17792, 95532, 20713, 13, 120007, 16144, 72368, 40862, 30512, 43568, 103984, 198, 115364, 72368, 40862, 67016, 113727, 101860, 120007, 16144, 109335, 95221, 20230, 21105, 103, 16995, 5486, 105994, 30813, 58942, 57980, 118145, 104712, 106046, 76947, 61689, 9174, 17, 13, 107707, 120208, 30512, 113727, 110615, 198, 105994, 104356, 16556, 53953, 30926, 30512, 105321, 72661, 104662, 107436, 114732, 9174, 72368, 40862, 16144, 109161, 16995, 110018, 103378, 27552, 244, 11881, 100, 108176, 198, 34617, 13, 37689, 91774, 30512, 50834, 126660, 198, 120007, 16144, 37689, 91774, 20230, 117864, 47884, 108870, 119707, 28713, 104004, 76622, 110615, 1811, 115364, 100909, 122416, 16556, 120007, 16144, 106592, 113727, 33121, 107515, 9174, 19, 13, 115364, 37026, 110020, 87177, 29295, 120111, 198, 115364, 106592, 104356, 20230, 53953, 30926, 30512, 78698, 105262, 105879, 37026, 110020, 87177, 29295, 27384, 120111, 38641, 9174, 20, 13, 115364, 117943, 123606, 48154, 107118, 111098, 105784, 29295, 120007, 20230, 117943, 30369, 105908, 127181, 198, 28190, 105987, 26854, 105879, 120007, 117758, 117943, 64121, 48154, 107118, 111098, 107674, 29295, 31431, 29295, 43514, 119627, 115364, 117943, 64121, 48154, 107118, 120007, 16144, 37689, 91774, 30512, 104655, 32149, 101860, 107898, 21105, 97, 105784, 198, 567, 63091, 17620, 104284, 46034, 26854, 71208, 111363, 30177, 15024, 24273, 198, 114308, 40862, 16995, 15682, 100204, 62004, 15682, 110008, 72342, 111243, 114308, 40862, 76947, 115737, 32149, 16556, 105994, 104284, 46034, 26854, 71208, 118816, 36785, 102189, 25827, 110008, 72342, 123733, 76947, 103801, 61689, 9174, 67645, 103171, 78183, 29295, 110674, 29295, 110008, 127397, 115847, 15682, 110008, 72342, 100604, 78183, 29295, 110674, 26854, 104865, 91774, 100481, 50834, 17129, 109954, 9174, 14711, 105864, 109, 122101, 78183, 29295, 110674, 198, 124233, 16995, 102639, 107407, 198, 105994, 20230, 117943, 76947, 50834, 38144, 47884, 115032, 105879, 110008, 122101, 198, 110482, 76947, 104533, 50834, 53901, 37689, 107407, 78183, 29295, 110674, 198, 120007, 29295, 115364, 106592, 120111, 16556, 117384, 29295, 101544, 102518, 31431, 5486, 20834, 115856, 76622, 104533, 50834, 20230, 112185, 5486, 112454, 56051, 47884, 100604, 104309, 120007, 16144, 53901, 37689, 29295, 30297, 32149, 29295, 58942, 104533, 50834, 15682, 110008, 72342, 33541, 9174, 14711, 105864, 109, 72342, 100604, 78183, 29295, 110674, 198, 109440, 115461, 29295, 32149, 117295, 198, 120007, 16144, 78183, 29295, 17129, 103296, 105994, 20230, 109440, 115461, 29295, 32149, 32149, 104533, 50834, 198, 21105, 97, 22957, 16995, 198, 99849, 18904, 32977, 21105, 97, 22957, 47884, 78183, 29295, 110674, 30512, 16995, 76947, 109749, 1811, 43568, 22649, 26854, 31634, 103192, 104309, 198, 105994, 104284, 46034, 29295, 104328, 67645, 16995, 198, 103664, 64063, 107113, 110115, 105047, 20230, 45923, 47307, 107391, 16073, 71289, 115364, 106719, 24273, 121142, 50021, 112909, 123927, 18904, 17663, 9174, 567, 63091, 17620, 104284, 46034, 26854, 71208, 29295, 103031, 105514, 103351, 107803, 20230, 30297, 17129, 47884, 114308, 40862, 107462, 47884, 41007, 198, 114308, 40862, 76947, 64121, 100604, 19732, 105994, 104284, 46034, 26854, 71208, 26854, 104865, 78183, 124403, 38641, 123794, 1811, 114308, 40862, 76947, 103031, 105514, 29295, 105994, 104284, 46034, 103351, 107803, 67645, 119775, 114308, 40862, 107462, 76622, 81219, 30297, 17129, 47884, 16995, 47884, 105879, 109954, 32149, 198, 20713, 13, 74245, 39926, 111654, 102800, 19732, 72238, 74245, 20230, 108044, 107290, 64121, 30369, 198, 74245, 39926, 111654, 102800, 19732, 72238, 74245, 20230, 108044, 107290, 64121, 17129, 109954, 1811, 117952, 100604, 19732, 78183, 124403, 17792, 32977, 61689, 1811, 119852, 74245, 76947, 120700, 104984, 32131, 26269, 118639, 104699, 110706, 26854, 120208, 16556, 108044, 58942, 17129, 109954, 9174, 25963, 13, 120007, 19732, 87177, 15024, 40862, 30297, 198, 105994, 104284, 46034, 26854, 37026, 112854, 107407, 104865, 19732, 100909, 25827, 87177, 15024, 40862, 30297, 1811, 26854, 104127, 108149, 11972, 95604, 123120, 123410, 104865 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36785, 102677, 103001, 228, 50834, 29295, 104655, 22957, 107290, 109749, 113146, 20230, 110745, 104721, 26854, 114284, 30512, 39926, 17701, 61337, 56051, 110115, 5486, 108436, 107430, 56051, 16995, 19732, 112391, 30369, 101200, 108176, 104468, 104405, 39926, 32149, 11571, 108436, 107430, 119607, 119150, 101200, 110276, 27384, 112495, 114667, 30512, 48154, 122984, 107726, 38144, 115962, 108895, 106046, 61689, 1811, 128001, 128000, 101682, 111186, 21990, 16144, 112073, 98369, 5486, 101682, 111186, 103359, 105226, 15682, 103130, 104127, 61689, 123253, 32149, 9174, 29504, 80195, 102667, 101682, 111186, 15682, 5486, 120690, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 16144, 41920, 38574, 106391, 13153, 16144, 103846, 117119, 32149, 19732, 103359, 105226, 29295, 109215, 38641, 123794, 9174, 51330, 77219, 77181, 5486, 29504, 80195, 102667, 114475, 111186, 54926, 24273, 121254, 107441, 5486, 101682, 111186, 9080, 103296, 16144, 22398, 102663, 115478, 64178, 71289, 53508, 231, 104195, 25333, 123160, 104987, 105838, 25333, 30512, 123011, 107436, 23039, 105898, 16995, 106046, 61689, 9174, 567, 103774, 80195, 102667, 16144, 17701, 106081, 16144, 106548, 103214, 64121, 198, 101682, 111186, 21990, 127303, 104984, 17663, 16556, 20230, 48154, 25359, 53283, 36785, 106046, 61689, 29295, 5486, 29504, 80195, 102667, 16144, 17701, 106081, 15682, 5486, 120690, 106081, 111186, 7, 111573, 106081, 111186, 8, 19732, 108048, 108422, 33121, 16144, 102667, 29295, 118028, 76428, 115307, 16556, 19967, 13153, 103792, 41920, 33671, 106081, 111186, 16144, 41920, 38574, 106391, 13153, 104856, 76947, 61689, 9174, 120690, 106081, 111186, 16144, 50928, 28542, 96455, 19732, 127862, 33671, 106081, 111186, 16144, 50928, 28542, 96455, 5486, 110176, 24273, 114146, 28713, 102944, 29295, 107624, 95001, 84389, 5486, 50928, 28542, 96455, 29295, 126574, 110480, 20230, 23187, 102351, 17792, 9039, 20230, 104067, 54926, 103296, 127706, 121711, 33541, 9174, 53900, 5486, 120690, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 16144, 50928, 28542, 16144, 107624, 95001, 15682, 5486, 102208, 102667, 5486, 102208, 48864, 34048, 113468, 108901, 26854, 31431, 33541, 9174, 27452, 116285, 5486, 120690, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 30512, 20, 25, 20, 16144, 111017, 40862, 16556, 50928, 28542, 33208, 39926, 107624, 95001, 54926, 110229, 32977, 57903, 33541, 15024, 111476, 19, 25, 21, 103306, 127862, 33671, 106081, 111186, 30512, 71289, 71289, 30358, 103984, 54926, 102677, 107803, 32977, 57903, 33541, 9174, 567, 113978, 16073, 102514, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 16144, 121953, 198, 120690, 106081, 111186, 198, 120690, 106081, 111186, 107118, 117952, 81219, 102208, 70626, 118322, 75146, 17920, 236, 109904, 109606, 16144, 43167, 109709, 19732, 78244, 58942, 33541, 118855, 5486, 109606, 16144, 115707, 15682, 127359, 105048, 57207, 84477, 76868, 116787, 5486, 101182, 113314, 110904, 102158, 16144, 109163, 61304, 71289, 5486, 75146, 17920, 236, 109904, 80805, 102514, 16073, 30512, 112854, 107290, 33334, 47884, 105908, 103082, 104984, 5486, 66378, 105586, 96455, 30512, 109415, 30369, 105908, 125545, 9174, 41920, 33671, 106081, 111186, 198, 41920, 33671, 106081, 111186, 15682, 102208, 102667, 29295, 118028, 76428, 115307, 16556, 19967, 13153, 103792, 109606, 115717, 33541, 1811, 120690, 106081, 111186, 105755, 32149, 15682, 111108, 87844, 27479, 29295, 126574, 107803, 29295, 43240, 47884, 5486, 75146, 17920, 236, 109904, 109606, 55031, 5486, 102404, 77413, 109904, 109606, 103296, 125334, 84389, 33541, 109807, 103846, 5486, 102404, 77413, 109904, 45736, 111108, 87844, 27479, 16144, 109606, 30512, 50338, 105784, 32149, 50338, 124324, 32149, 16556, 110745, 50834, 47884, 104364, 29295, 59739, 126145, 78698, 107290, 103424, 117201, 109954, 9174, 51330, 120690, 106081, 111186, 19732, 41920, 33671, 106081, 111186, 5486, 119045, 112535, 99849, 29295, 108010, 30297, 32149, 19732, 78244, 61689, 19732, 5486, 101860, 81219, 31431, 198, 37026, 120577, 103892, 16556, 78698, 107290, 109606, 30512, 102404, 77413, 107726, 38144, 50338, 104662, 54926, 106556, 29295, 109215, 32149, 5486, 109215, 110034, 32149, 82530, 38641, 51447, 120690, 106081, 111186, 16144, 118687, 30512, 27452, 20230, 78698, 107290, 64121, 104533, 17620, 107277, 126172, 16995, 119627, 5486, 109606, 30512, 50338, 16995, 100481, 47884, 110115, 109215, 26854, 38574, 108167, 15682, 37087, 38144, 20834, 104482, 30046, 29295, 103130, 107436, 120700, 33541, 123794, 109900, 20230, 114146, 38144, 122282, 30512, 109768, 47884, 112973, 120690, 106081, 111186, 38641, 9174, 119627, 41920, 33671, 106081, 111186, 16144, 126513, 5486, 109606, 116771, 29295, 58318, 58942, 102204, 108048, 30512, 67645, 120950, 38574, 108167, 16556, 50338, 16995, 100481, 47884, 32149, 15682, 5486, 37087, 38144, 37026, 120577, 103892, 16556, 113727, 103470, 38144, 15682, 105110, 100604, 16144, 38641, 9174, 567, 103774, 80195, 102667, 17701, 106081, 113978, 16073, 102514, 106081, 111186, 30512, 104584, 105150, 54926, 110115, 109215, 26854, 48634, 107118, 5380, 29504, 80195, 102667, 17701, 106081, 20230, 109215, 26854, 120690, 106081, 111186, 16144, 70626, 30832, 15682, 5486, 108936, 9554, 102052, 76208, 100927, 70626, 103305, 70626, 30832, 19732, 117952, 33121, 115408, 80195, 102667, 16144, 108936, 17701, 106081, 126036, 121819, 105987, 112535, 70626, 30832, 9039, 29295, 43240, 47884, 5486, 126120, 96455, 103424, 47884, 53508, 231, 104195, 30512, 103130, 62004, 100481, 47884, 105908, 32018, 62004, 102204, 33541, 9174, 119627, 110371, 120690, 106081, 111186, 103359, 105226, 5486, 103856, 47884, 27704, 62004, 104984, 126521, 102677, 102944, 72661, 100604, 106046, 61689, 9174, 120690, 106081, 111186, 30512, 104584, 105150, 54926, 110115, 109215, 26854, 48634, 15682, 5486, 88852, 16144, 121640, 107188, 106046, 61689, 9174, 120690, 106081, 111186, 30512, 104584, 105150, 54926, 110115, 109215, 26854, 48634, 198, 9458, 102208, 70626, 118322, 75146, 17920, 236, 48634, 198, 9458, 120690, 106081, 111186, 30512, 50338, 47884, 110115, 66378, 33208, 56051, 48634, 198, 102208, 70626, 118322, 75146, 17920, 236, 48634, 15682, 127862, 33671, 106081, 111186, 71289, 86127, 80195, 16144, 108936, 17701, 106081, 16144, 103359, 105226, 30512, 109768, 104533, 109683, 20230, 113598, 126832, 32149, 106046, 61689, 9174, 30591, 19732, 15120, 59739, 15682, 5486, 120690, 106081, 111186, 30512, 50338, 47884, 110115, 66378, 33208, 56051, 48634, 38641, 9174, 120690, 106081, 111186, 15682, 68759, 105048, 57207, 84477, 76868, 103195, 100909, 71289, 5486, 106649, 16995, 82973, 20230, 48249, 125398, 100909, 104309, 5486, 23706, 244, 107407, 103846, 116898, 126910, 41920, 33671, 106081, 111186, 16144, 109606, 30512, 50338, 105784, 101200, 101983, 114598, 5486, 120690, 106081, 111186, 29295, 50338, 76622, 104533, 15682, 48249, 110104, 16144, 38641, 9174, 51330, 48634, 116825, 105784, 102052, 111476, 104328, 28713, 17663, 33503, 103188, 86436, 99397, 71289, 5486, 54872, 101658, 105, 106081, 111186, 109606, 43167, 30512, 50338, 47884, 106592, 33334, 53508, 100, 62004, 78434, 9174, 567, 113978, 16073, 102514, 106081, 111186, 103359, 105226, 15682, 108064, 55031, 27704, 109315, 0, 5380, 103188, 86436, 99397, 71289, 54872, 101658, 105, 106081, 111186, 109606, 43167, 30512, 50338, 50834, 27704, 109315, 104468, 198, 120690, 106081, 111186, 16144, 17, 56040, 18, 113746, 25580, 55031, 29295, 103424, 118544, 106046, 61689, 1811, 113170, 109709, 103856, 47884, 55031, 120690, 106081, 111186, 16144, 103359, 105226, 20230, 82973, 119707, 76622, 120195, 30369, 104468, 109688, 117126, 19732, 78244, 58942, 33541, 9174, 123628, 105904, 72661, 102181, 102334, 121640, 127862, 33671, 106081, 111186, 120332, 29295, 5486, 120690, 106081, 111186, 126036, 105994, 16556, 78698, 105262, 48634, 29295, 32018, 62004, 110071, 103846, 5486, 108608, 103378, 101544, 16995, 82973, 30512, 41920, 33671, 106081, 111186, 103359, 105226, 20230, 40265, 125655, 112973, 50928, 105226, 19732, 78244, 58942, 33541, 9174, 85701, 32977, 123628, 105904, 72661, 123011, 107436, 61689, 29295, 110371, 41920, 33671, 106081, 111186, 103359, 105226, 15682, 5486, 120690, 106081, 111186, 105352, 109215, 26854, 75146, 17920, 236, 123457, 113598, 30297, 105908, 108608, 103846, 5486, 120690, 106081, 111186, 103268, 8107, 25580, 104309, 16556, 123213, 35083, 109904, 120690, 106081, 111186, 103359, 105226, 30512, 112185, 85707, 62004, 100481, 103470, 111243, 118220, 30369, 109215, 15682, 124897, 9174, 120690, 106081, 111186, 103359, 105226, 15682, 5486, 120690, 106081, 111186, 106063, 66378, 16144, 109606, 115707, 20230, 101557, 96, 104028, 103846, 17, 56040, 18, 113746, 16556, 43167, 105363, 120650, 16995, 17129, 109954, 9174, 41920, 33671, 106081, 111186, 103359, 105226, 16556, 75146, 17920, 236, 29295, 107608, 17129, 107462, 104984, 108149, 107118, 120690, 106081, 111186, 16144, 109606, 20230, 101557, 96, 33121, 104984, 101557, 96, 104028, 103378, 122603, 50928, 28542, 30512, 101462, 247, 30297, 105908, 125545, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 103351, 123253, 32149, 125939, 18904, 15682, 5486, 29504, 80195, 102667, 17701, 106081, 16144, 64209, 50928, 30512, 123011, 107436, 64121, 79721, 9174, 86127, 32977, 29504, 80195, 102667, 114475, 111186, 56051, 106613, 111186, 30046, 119627, 5486, 105184, 111201, 120690, 106081, 111186, 16144, 103359, 105226, 30512, 21105, 97, 59739, 127862, 33671, 106081, 111186, 16144, 103359, 105226, 32977, 54926, 82530, 102677, 104468, 26854, 107188, 32149, 27384, 104721, 16556, 56051, 1811, 119627, 5486, 127408, 101983, 104984, 109020, 108680, 120766, 103082, 103470, 109020, 102944, 38641, 1811, 120690, 106081, 111186, 103359, 105226, 15682, 123090, 18904, 120837, 27384, 121313, 3001, 120690, 106081, 111186, 103359, 105226, 15682, 605, 9953, 55031, 3001, 104309, 105994, 16556, 31958, 105184, 26854, 19967, 102669, 30512, 121697, 38144, 5486, 67645, 42891, 15024, 31431, 106391, 107290, 118322, 123628, 109606, 20230, 120766, 54926, 112973, 103424, 118544, 106046, 61689, 1811, 128001, 128000, 120007, 16144, 106592, 113727, 101860, 105994, 104284, 124475, 53953, 30926, 30512, 103130, 107436, 114732, 71208, 124911, 76947, 61689, 123794, 1811, 115364, 100909, 122416, 16556, 120007, 16144, 106592, 113727, 110615, 17792, 19732, 114308, 40862, 30297, 16144, 76947, 116898, 126910, 120111, 72661, 37656, 74245, 15024, 124592, 16995, 38641, 123794, 125939, 18904, 15682, 5486, 105994, 104284, 46034, 26854, 71208, 16144, 66378, 17599, 112, 5486, 30297, 17129, 47884, 114308, 40862, 107462, 47884, 124122, 47260, 103223, 104309, 126362, 109768, 50834, 61689, 9174, 122481, 47260, 108304, 119495, 198, 567, 63091, 17620, 104284, 46034, 26854, 71208, 16144, 66378, 17599, 112, 198, 105994, 104284, 46034, 26854, 71208, 16144, 66378, 17599, 112, 76947, 67645, 103171, 17792, 95532, 20713, 13, 120007, 16144, 72368, 40862, 30512, 43568, 103984, 198, 115364, 72368, 40862, 67016, 113727, 101860, 120007, 16144, 109335, 95221, 20230, 21105, 103, 16995, 5486, 105994, 30813, 58942, 57980, 118145, 104712, 106046, 76947, 61689, 9174, 17, 13, 107707, 120208, 30512, 113727, 110615, 198, 105994, 104356, 16556, 53953, 30926, 30512, 105321, 72661, 104662, 107436, 114732, 9174, 72368, 40862, 16144, 109161, 16995, 110018, 103378, 27552, 244, 11881, 100, 108176, 198, 34617, 13, 37689, 91774, 30512, 50834, 126660, 198, 120007, 16144, 37689, 91774, 20230, 117864, 47884, 108870, 119707, 28713, 104004, 76622, 110615, 1811, 115364, 100909, 122416, 16556, 120007, 16144, 106592, 113727, 33121, 107515, 9174, 19, 13, 115364, 37026, 110020, 87177, 29295, 120111, 198, 115364, 106592, 104356, 20230, 53953, 30926, 30512, 78698, 105262, 105879, 37026, 110020, 87177, 29295, 27384, 120111, 38641, 9174, 20, 13, 115364, 117943, 123606, 48154, 107118, 111098, 105784, 29295, 120007, 20230, 117943, 30369, 105908, 127181, 198, 28190, 105987, 26854, 105879, 120007, 117758, 117943, 64121, 48154, 107118, 111098, 107674, 29295, 31431, 29295, 43514, 119627, 115364, 117943, 64121, 48154, 107118, 120007, 16144, 37689, 91774, 30512, 104655, 32149, 101860, 107898, 21105, 97, 105784, 198, 567, 63091, 17620, 104284, 46034, 26854, 71208, 111363, 30177, 15024, 24273, 198, 114308, 40862, 16995, 15682, 100204, 62004, 15682, 110008, 72342, 111243, 114308, 40862, 76947, 115737, 32149, 16556, 105994, 104284, 46034, 26854, 71208, 118816, 36785, 102189, 25827, 110008, 72342, 123733, 76947, 103801, 61689, 9174, 67645, 103171, 78183, 29295, 110674, 29295, 110008, 127397, 115847, 15682, 110008, 72342, 100604, 78183, 29295, 110674, 26854, 104865, 91774, 100481, 50834, 17129, 109954, 9174, 14711, 105864, 109, 122101, 78183, 29295, 110674, 198, 124233, 16995, 102639, 107407, 198, 105994, 20230, 117943, 76947, 50834, 38144, 47884, 115032, 105879, 110008, 122101, 198, 110482, 76947, 104533, 50834, 53901, 37689, 107407, 78183, 29295, 110674, 198, 120007, 29295, 115364, 106592, 120111, 16556, 117384, 29295, 101544, 102518, 31431, 5486, 20834, 115856, 76622, 104533, 50834, 20230, 112185, 5486, 112454, 56051, 47884, 100604, 104309, 120007, 16144, 53901, 37689, 29295, 30297, 32149, 29295, 58942, 104533, 50834, 15682, 110008, 72342, 33541, 9174, 14711, 105864, 109, 72342, 100604, 78183, 29295, 110674, 198, 109440, 115461, 29295, 32149, 117295, 198, 120007, 16144, 78183, 29295, 17129, 103296, 105994, 20230, 109440, 115461, 29295, 32149, 32149, 104533, 50834, 198, 21105, 97, 22957, 16995, 198, 99849, 18904, 32977, 21105, 97, 22957, 47884, 78183, 29295, 110674, 30512, 16995, 76947, 109749, 1811, 43568, 22649, 26854, 31634, 103192, 104309, 198, 105994, 104284, 46034, 29295, 104328, 67645, 16995, 198, 103664, 64063, 107113, 110115, 105047, 20230, 45923, 47307, 107391, 16073, 71289, 115364, 106719, 24273, 121142, 50021, 112909, 123927, 18904, 17663, 9174, 567, 63091, 17620, 104284, 46034, 26854, 71208, 29295, 103031, 105514, 103351, 107803, 20230, 30297, 17129, 47884, 114308, 40862, 107462, 47884, 41007, 198, 114308, 40862, 76947, 64121, 100604, 19732, 105994, 104284, 46034, 26854, 71208, 26854, 104865, 78183, 124403, 38641, 123794, 1811, 114308, 40862, 76947, 103031, 105514, 29295, 105994, 104284, 46034, 103351, 107803, 67645, 119775, 114308, 40862, 107462, 76622, 81219, 30297, 17129, 47884, 16995, 47884, 105879, 109954, 32149, 198, 20713, 13, 74245, 39926, 111654, 102800, 19732, 72238, 74245, 20230, 108044, 107290, 64121, 30369, 198, 74245, 39926, 111654, 102800, 19732, 72238, 74245, 20230, 108044, 107290, 64121, 17129, 109954, 1811, 117952, 100604, 19732, 78183, 124403, 17792, 32977, 61689, 1811, 119852, 74245, 76947, 120700, 104984, 32131, 26269, 118639, 104699, 110706, 26854, 120208, 16556, 108044, 58942, 17129, 109954, 9174, 25963, 13, 120007, 19732, 87177, 15024, 40862, 30297, 198, 105994, 104284, 46034, 26854, 37026, 112854, 107407, 104865, 19732, 100909, 25827, 87177, 15024, 40862, 30297, 1811, 26854, 104127, 108149, 11972, 95604, 123120, 123410, 104865 ]
[ 105994, 29295, 103646, 33503, 115389, 110034, 104865, 87177, 15024, 40862, 76947, 64121, 30369, 198, 34617, 13, 124042, 46034, 38574, 16556, 103283, 104028, 198, 78244, 114598, 36785, 62004, 16556, 74245, 33503, 104435, 31431, 127564, 5486, 103283, 104028, 112973, 15120, 87217, 125651, 1811, 78244, 114598, 126738, 110104, 116537, 108064, 103296, 28713, 114598, 124233, 110104, 38641, 109900, 72661, 114308, 40862, 106358, 16995, 116537, 103283, 119627, 103283, 104028, 112973, 102832, 71634, 26854, 107803, 32977, 57903, 33541, 9174, 567, 220, 123011, 62004, 198, 105994, 104284, 46034, 26854, 71208, 16144, 66378, 17599, 112, 112987, 32149, 29295, 16556, 56051, 32149, 11571, 50021, 112909, 114284, 71289, 110615, 17792, 19732, 114308, 40862, 30297, 19732, 17663, 48154, 16995, 127814, 33121, 33541, 123794, 1811, 30297, 17129, 47884, 74245, 76947, 120700, 104984, 104712, 119627, 16325, 104680, 74245, 110104, 105879, 103856, 62004, 16144, 103359, 105226, 29295, 109215, 38641, 9174, 58426, 96356, 104284, 46034, 26854, 78183, 29295, 110674, 30512, 115389, 104680, 72661, 110008, 39926, 104533, 120007, 16144, 91763, 30297, 59739, 109416, 72661, 101182, 105879, 103856, 62004, 126365, 110993, 62004, 100481, 50834, 17129, 109954, 1811, 128001, 128000, 16, 9953, 972, 9080, 53610, 121914, 109935, 16144, 103927, 16073, 68759, 16556, 42891, 32149, 120915, 122913, 198, 60358, 116358, 113614, 78228, 70141, 29295, 45736, 115464, 26854, 32149, 111476, 113614, 25333, 16144, 102473, 32977, 103130, 64121, 106307, 76622, 100481, 38144, 198, 37271, 103296, 113614, 16144, 113009, 22023, 100204, 101732, 115789, 198, 30591, 109709, 8239, 114503, 119703, 105908, 106053, 31958, 121256, 105879, 111476, 112371, 104328, 91774, 100481, 50834, 17129, 109954, 9174, 30832, 33671, 198, 567, 220, 110631, 16995, 102944, 99046, 224, 31431, 103188, 105557, 104533, 127814, 33121, 126172, 16995, 198, 30591, 112568, 15682, 5486, 127814, 103468, 126101, 198, 110631, 16995, 102944, 30512, 125764, 103188, 105557, 100481, 107515, 32149, 95532, 103293, 9080, 116491, 68408, 76428, 122258, 55031, 127814, 8239, 112, 126101, 198, 110631, 16995, 102944, 30512, 19732, 31431, 120195, 104533, 89783, 82420, 127814, 33121, 126172, 16995, 102677, 198, 121602, 50834, 16144, 118331, 61398, 115991, 79721, 9174, 14711, 10447, 244, 110, 33121, 126172, 47884, 109020, 114667, 198, 110631, 16995, 102944, 30512, 121771, 98369, 99046, 224, 104533, 198, 104473, 117587, 112603, 29295, 105047, 20230, 17905, 123716, 39926, 103801, 16995, 111476, 77693, 30512, 126128, 105262, 113009, 198, 76171, 22398, 107805, 29295, 17620, 14888, 234, 116216, 103801, 61689, 198, 58426, 103846, 104473, 117587, 112603, 29295, 15120, 95221, 20230, 17297, 29295, 76947, 114732, 101399, 198, 120379, 115737, 100472, 31431, 127814, 33121, 126172, 115737, 76947, 114732, 16144, 38641, 9174, 7511, 29134, 112603, 107118, 198, 14711, 10447, 244, 110, 33121, 71289, 20230, 47884, 47884, 54926, 103359, 105226, 198, 16995, 112495, 31431, 104473, 117587, 112603, 30512, 122765, 101860, 198, 100783, 102, 71289, 111201, 54926, 125764, 24273, 71289, 119008, 29295, 109431, 103792, 111476, 1569, 100, 124417, 112603, 15682, 103167, 16995, 118881, 29295, 104712, 16144, 38641, 9174, 30813, 59739, 17129, 16995, 32977, 15682, 110631, 30813, 29295, 30591, 76947, 111476, 1569, 100, 124417, 112603, 29295, 103167, 16995, 105879, 33334, 125683, 62004, 38641, 9174, 567, 220, 110631, 16995, 102944, 99046, 224, 31431, 103188, 105557, 30369, 78699, 59739, 103429, 112997, 29220, 45736, 115464, 198, 101171, 111, 108396, 16144, 119506, 40526, 105408, 103732, 104533, 111476, 110631, 16995, 102944, 30512, 99046, 224, 31431, 103188, 105557, 30369, 78699, 59739, 103429, 112997, 29220, 31634, 63212, 108176, 105879, 111476, 103188, 21403, 108, 99046, 224, 18655, 102052, 100204, 116186, 30297, 104369, 25827, 95221, 116825, 107674, 118881, 29295, 104712, 123253, 9174, 90620, 15024, 5486, 47260, 25005, 240, 11972, 30512, 114652, 115320, 104004, 116537, 198, 30297, 59739, 103429, 101983, 112586, 47884, 16995, 119526, 11972, 107407, 105879, 111476, 110631, 16995, 102944, 30512, 125764, 104533, 50834, 102052, 47260, 25005, 240, 11972, 30512, 126419, 20230, 115320, 104004, 106592, 198, 90962, 22398, 22398, 39850, 78434, 9174, 14711, 68042, 25005, 240, 109229, 103202, 198, 47260, 25005, 240, 11972, 102052, 108324, 108602, 33208, 53953, 105284, 29295, 119515, 105469, 16556, 30297, 59739, 103429, 103378, 126194, 198, 64209, 26274, 241, 103429, 105352, 126521, 19732, 117952, 106824, 50834, 127280, 9174, 16, 111299, 122756, 102717, 19732, 124592, 121410, 9080, 47260, 25005, 240, 11972, 30512, 115320, 17129, 100604, 108710, 101557, 96, 124911, 20230, 57106, 115694, 111476, 16, 9080, 17, 21909, 18, 109247, 16144, 47260, 25005, 240, 11972, 30512, 115320, 104004, 116537, 30297, 59739, 103429, 108176, 112997, 29220, 29295, 868, 4, 103167, 47884, 111476, 16, 117816, 19, 109247, 71689, 47260, 25005, 240, 11972, 30512, 115320, 104127, 102334, 116537, 508, 4, 32977, 112997, 29220, 29295, 103167, 16995, 105908, 111476, 17039, 102800, 102473, 16556, 106053, 31958, 121256, 9174, 567, 106555, 33710, 57207, 65299, 91062, 16144, 103188, 21403, 108, 99046, 224, 18655, 198, 111482, 15682, 110135, 124519, 109954, 111571, 16144, 103911, 103181, 16144, 103846, 60868, 115507, 104309, 16556, 198, 115145, 57207, 65299, 91062, 30512, 37689, 109375, 39926, 99046, 224, 18655, 39926, 103801, 16995, 29295, 43514, 119627, 111476, 103188, 21403, 108, 20230, 99046, 224, 18655, 112990, 5486, 115145, 57207, 65299, 91062, 15682, 114052, 111571, 20230, 120299, 100815, 15024, 126172, 16995, 105879, 198, 101921, 236, 102971, 102465, 5486, 124533, 102465, 5486, 91875, 101171, 230, 110567, 33208, 16144, 113385, 115717, 32149, 101832, 107515, 9174, 43240, 120195, 30369, 115145, 57207, 65299, 91062, 15682, 111006, 16144, 104698, 30512, 82317, 109416, 17663, 33334, 77693, 107407, 120266, 198, 61633, 103801, 109954, 9174, 567, 107668, 102802, 19732, 123011, 62004, 198, 67645, 103171, 15308, 226, 113598, 72238, 32977, 127242, 54926, 109335, 16995, 76622, 107515, 29295, 111476, 103188, 21403, 108, 99046, 224, 18655, 15682, 111006, 102052, 109972, 106529, 119279, 50834, 38144, 114732, 16144, 125651, 9174, 103188, 21403, 108, 101983, 121140, 5486, 37689, 109375, 39926, 99046, 224, 18655, 54926, 105908, 27384, 102769, 38641, 1811, 128001, 128000, 90115, 5486, 125283, 105811, 114363, 103722, 103242, 220, 38641, 9174, 104500, 22656, 17792, 78228, 121944, 111926, 16556, 36896, 10110, 105994, 15682, 7705, 78659, 60632, 50834, 116787, 5486, 65917, 60632, 50834, 124911, 105755, 117539, 51609, 29295, 68093, 8107, 106649, 16995, 101832, 25827, 66383, 102404, 78244, 30512, 109768, 79721, 9174, 104500, 22656, 98369, 102052, 102782, 15024, 117735, 100604, 119627, 110371, 108323, 15682, 2118, 107297, 102800, 863, 102677, 87177, 126198, 16995, 106046, 61689, 1811, 26854, 105879, 5486, 78659, 60632, 50834, 16144, 116537, 51385, 64209, 21105, 103, 29295, 33503, 98499, 64121, 103130, 107436, 72315, 9174, 90962, 44971, 105459, 78659, 60632, 50834, 15682, 65917, 60632, 50834, 124911, 105755, 103664, 24, 8107, 108680, 106649, 51609, 114420, 30019, 1811, 2345, 115718, 22656, 17792, 78228, 8165, 76, 51843, 890, 283, 26738, 8, 5587, 220, 17, 11, 220, 679, 23, 198, 71289, 30813, 106624, 39926, 101832, 9174, 15682, 28713, 39926, 5486, 78659, 60632, 50834, 16144, 116537, 65917, 60632, 50834, 124911, 20230, 57106, 115694, 103856, 102625, 117657, 105879, 109954, 32149, 9174, 567, 116422, 112371, 32149, 5486, 78659, 60632, 50834, 16144, 116537, 71289, 31431, 106157, 20230, 122765, 33503, 30369, 198, 78659, 60632, 50834, 16144, 116537, 5486, 11881, 242, 55031, 110018, 67645, 50834, 101837, 235, 106157, 20230, 109415, 124195, 50834, 79721, 109807, 114667, 15682, 78183, 107277, 107515, 9174, 127880, 84851, 108867, 119627, 5486, 70563, 71493, 102741, 5486, 102494, 109089, 102439, 108958, 5486, 99959, 114672, 109482, 115132, 76171, 107271, 47307, 76171, 102083, 100472, 114172, 102512, 17905, 16144, 72404, 36827, 102280, 15682, 5486, 64121, 26854, 78659, 60632, 50834, 38641, 9174, 17792, 104680, 15682, 13177, 78659, 60632, 50834, 117503, 17792, 105459, 20230, 127091, 106984, 231, 161, 57923, 32977, 96412, 102189, 93056, 101365, 109243, 109904, 102944, 863, 30512, 112391, 101732, 104865, 110241, 33121, 107515, 9174, 567, 84102, 99, 60632, 50834, 16144, 116537, 39880, 44971, 33710, 104603, 11972, 115717, 126172, 16995, 95532, 71289, 31431, 106157, 20230, 30591, 29295, 100472, 27452, 103306, 15682, 5486, 3753, 17, 116033, 125053, 103646, 102473, 16556, 36896, 78659, 60632, 50834, 16144, 116537, 103048, 115075, 39276, 16144, 103429, 95221, 10110, 39880, 20251, 93298, 105871, 104735, 248, 114052, 104309, 7705, 115717, 126172, 47884, 5486, 115598, 103892, 108631, 9458, 102404, 104067, 108502, 104698, 108176, 105184, 96455, 29295, 126574, 66383, 117952, 33121, 100481, 79721, 10110, 121846, 105242, 17161, 123505, 44620, 65917, 60632, 50834, 5486, 78659, 60632, 50834, 36761, 16144, 102700, 30046, 107167, 22398, 105514, 103732, 104533, 5486, 4578, 102159, 16144, 102473, 30512, 109203, 64889, 112535, 106596, 39926, 5486, 1135, 11, 931, 17792, 71689, 16144, 102473, 119526, 30512, 102097, 112984, 56051, 113702, 93056, 78659, 60632, 50834, 29295, 103048, 115075, 116436, 111694, 112649, 107277, 126172, 16995, 102677, 101427, 122, 70141, 15682, 64121, 102204, 105823, 104127, 56051, 863, 9174, 78659, 60632, 50834, 109860, 102083, 76947, 115132, 44971, 33710, 104603, 11972, 115717, 126172, 16995, 113334, 77181, 124897, 1811, 95221, 20230, 21105, 103, 117201, 72315, 9174, 567, 84102, 99, 60632, 50834, 16144, 116537, 68093, 97049, 32977, 106649, 51609, 102677, 105037, 236, 16144, 48864, 108323, 198, 33671, 15682, 5486, 117539, 51609, 16144, 102473, 30512, 64121, 38144, 64121, 17129, 109954, 1811, 3753, 15, 8107, 55031, 2550, 15, 8107, 112649, 107441, 115132, 114740, 16556, 23039, 125167, 102473, 77181, 13177, 78659, 60632, 50834, 16144, 116537, 65917, 60632, 50834, 124911, 20230, 57106, 115694, 5486, 115274, 16556, 103664, 68093, 8107, 106649, 51609, 103195, 66383, 95604, 48864, 108323, 29295, 125053, 84389, 79721, 10110, 121846, 105242, 17161, 123505, 67016, 32977, 5486, 108396, 98220, 50834, 76947, 16144, 20251, 103830, 106901, 109793, 33710, 13177, 79519, 59712, 3648, 9635, 10139, 315, 19152, 10646, 20230, 19012, 110, 107121, 103646, 16144, 38641, 9174, 15120, 89753, 16144, 108396, 30046, 105352, 112160, 27479, 15682, 104736, 62004, 109115, 48864, 108323, 115717, 33541, 10110, 102208, 39850, 125380, 72661, 108167, 109415, 102204, 5486, 120065, 112772, 102433, 72661, 89753, 23039, 31431, 79721, 123505, 106649, 51609, 117282, 114667, 16144, 122984, 15682, 36896, 106222, 15682, 65917, 60632, 50834, 16144, 114754, 102924, 60632, 26854, 104466, 19967, 125398, 105879, 5486, 78659, 60632, 50834, 124911, 125030, 76947, 15682, 71634, 108744, 29295, 28713, 109709, 5486, 106649, 51609, 108176, 55031, 66383, 95604, 102944, 9174, 13177, 65917, 60632, 50834, 16144, 117501, 29295, 71634, 108744, 16556, 605, 8107, 32977, 106649, 51609, 20230, 11571, 91006, 120065, 78698, 107800, 33503, 108948, 32149, 102800, 19732, 114225, 78183, 117295, 115789, 5486, 2550, 15, 116033, 125053, 103646, 110018, 15682, 112160, 89753, 16144, 108396, 30046, 126027, 43240, 47884, 29295, 36785, 17129, 84389, 101732, 16144, 38641, 9174, 605, 8107, 106649, 51609, 107118, 5486, 16, 117816, 4364, 22656, 47307, 66953, 47260, 30512, 107246, 16995, 106307, 105784, 20230, 50667, 102800, 109161, 117375, 38641, 1811, 71634, 108744, 16556, 110924, 103296, 109161, 117375, 107407, 105879, 109954, 32149, 90578, 106142, 102669, 32977, 33334, 78183, 100472, 122416, 16556, 115132, 114740, 17792, 127282, 50211, 34208, 103672, 102663, 107113, 104865, 110241, 33121, 107515, 9174, 32977, 43514, 85791, 25827, 118899, 77181, 110371, 78659, 60632, 50834, 106649, 51609, 108323, 15682, 93056, 56965, 108010, 103836, 863, 19732, 113727, 124195, 61689, 9174, 567, 49854, 123, 51609, 16144, 104873, 112984, 41007, 29295, 109606, 103351, 198, 77181, 51330, 102473, 77181, 117119, 29295, 109606, 26854, 105879, 109954, 32149, 11571, 109606, 15682, 93056, 117539, 51609, 16144, 104873, 112984, 41007, 863, 16556, 56051, 9174, 102473, 117824, 100472, 57041, 716, 77, 105514, 19732, 5501, 77, 105514, 29295, 18655, 100472, 104873, 112984, 46034, 110480, 15682, 108895, 38641, 9174, 12, 83639, 60358, 109988, 115737, 100472, 17792, 30512, 124766, 103306, 116602, 20834, 54926, 198, 12, 73028, 119, 102189, 107707, 122013, 19732, 89046, 117139, 30512, 18655, 30369, 198, 12, 220, 109988, 115737, 100472, 24273, 29295, 78659, 60632, 50834, 103351, 32149, 5486, 65917, 60632, 50834, 103351, 104865, 104655, 47884, 198, 12, 127541, 28873, 30512, 43167, 82420, 54926, 198, 17, 11, 931, 14558, 105352, 78183, 28713, 30369, 107461, 39880, 122835, 16144, 113702, 36896, 78659, 60632, 50834, 16144, 107707, 121993, 8107, 106036, 95, 15682, 5486, 65917, 60632, 50834, 124911, 126036, 115274, 39926, 103664, 68093, 97049, 105268, 102518, 10646, 105908, 106053, 31958, 121256, 9174, 51330, 113702, 20230, 75146, 109669, 102532, 5486, 102473, 30512, 103350, 102923, 56051, 25963, 116537, 36896, 78659, 60632, 50834, 104023, 106649, 51609, 66383, 125053, 56051, 16144, 38641, 9174, 51330, 104873, 112984, 16144, 116414, 29295, 109606, 26854, 105879, 109954, 32149, 95532, 567, 84102, 99, 60632, 50834, 16144, 114754, 106649, 51609, 102677, 113702, 125334, 28713, 114667, 198, 103899, 58942, 15682, 110371, 21405, 10110, 44620, 65917, 60632, 50834, 5486, 78659, 60632, 50834, 36761, 105755, 117811, 7705, 20230, 57903, 33541, 9174, 127164, 107707, 45918, 243, 21990, 8107, 48154, 110792, 13177, 78659, 60632, 50834, 117503, 80805, 38248, 119, 108304, 78767, 38641, 9174, 26130, 30832, 17663, 125231, 15682, 5486, 78659, 60632, 50834, 16144, 116537, 5486, 7529, 15, 8107, 21990, 123606, 77181, 46702, 113127, 25580, 74482, 103351, 112973, 5486, 4468, 15, 8107, 21990, 123606, 77181, 5486, 717, 113127, 25580, 74482, 103296, 115079, 21601, 103792, 100909, 38641, 9174, 104873, 112984, 103359, 47523, 16144, 78659, 60632, 50834, 16144, 111017, 40862, 29295, 17039, 106624, 109020, 107294, 106824, 115079, 58942, 100934, 105879, 5486, 101182, 39177, 28542, 16556, 121993, 112919, 8107, 106036, 95, 30512, 104873, 103854, 104533, 5486, 78659, 60632, 50834, 16144, 115274, 8107, 106036, 95, 15682, 83747, 123733, 76947, 103801, 61689, 9174, 17620, 107277, 20230, 47884, 16995, 38641, 123794, 1811, 110993, 79982, 26854, 27452, 103306, 5486, 124572, 20230, 7028, 15, 12, 4468, 15, 8107, 103296, 78659, 60632, 50834, 16144, 21990, 17129 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105994, 29295, 103646, 33503, 115389, 110034, 104865, 87177, 15024, 40862, 76947, 64121, 30369, 198, 34617, 13, 124042, 46034, 38574, 16556, 103283, 104028, 198, 78244, 114598, 36785, 62004, 16556, 74245, 33503, 104435, 31431, 127564, 5486, 103283, 104028, 112973, 15120, 87217, 125651, 1811, 78244, 114598, 126738, 110104, 116537, 108064, 103296, 28713, 114598, 124233, 110104, 38641, 109900, 72661, 114308, 40862, 106358, 16995, 116537, 103283, 119627, 103283, 104028, 112973, 102832, 71634, 26854, 107803, 32977, 57903, 33541, 9174, 567, 220, 123011, 62004, 198, 105994, 104284, 46034, 26854, 71208, 16144, 66378, 17599, 112, 112987, 32149, 29295, 16556, 56051, 32149, 11571, 50021, 112909, 114284, 71289, 110615, 17792, 19732, 114308, 40862, 30297, 19732, 17663, 48154, 16995, 127814, 33121, 33541, 123794, 1811, 30297, 17129, 47884, 74245, 76947, 120700, 104984, 104712, 119627, 16325, 104680, 74245, 110104, 105879, 103856, 62004, 16144, 103359, 105226, 29295, 109215, 38641, 9174, 58426, 96356, 104284, 46034, 26854, 78183, 29295, 110674, 30512, 115389, 104680, 72661, 110008, 39926, 104533, 120007, 16144, 91763, 30297, 59739, 109416, 72661, 101182, 105879, 103856, 62004, 126365, 110993, 62004, 100481, 50834, 17129, 109954, 1811, 128001, 128000, 16, 9953, 972, 9080, 53610, 121914, 109935, 16144, 103927, 16073, 68759, 16556, 42891, 32149, 120915, 122913, 198, 60358, 116358, 113614, 78228, 70141, 29295, 45736, 115464, 26854, 32149, 111476, 113614, 25333, 16144, 102473, 32977, 103130, 64121, 106307, 76622, 100481, 38144, 198, 37271, 103296, 113614, 16144, 113009, 22023, 100204, 101732, 115789, 198, 30591, 109709, 8239, 114503, 119703, 105908, 106053, 31958, 121256, 105879, 111476, 112371, 104328, 91774, 100481, 50834, 17129, 109954, 9174, 30832, 33671, 198, 567, 220, 110631, 16995, 102944, 99046, 224, 31431, 103188, 105557, 104533, 127814, 33121, 126172, 16995, 198, 30591, 112568, 15682, 5486, 127814, 103468, 126101, 198, 110631, 16995, 102944, 30512, 125764, 103188, 105557, 100481, 107515, 32149, 95532, 103293, 9080, 116491, 68408, 76428, 122258, 55031, 127814, 8239, 112, 126101, 198, 110631, 16995, 102944, 30512, 19732, 31431, 120195, 104533, 89783, 82420, 127814, 33121, 126172, 16995, 102677, 198, 121602, 50834, 16144, 118331, 61398, 115991, 79721, 9174, 14711, 10447, 244, 110, 33121, 126172, 47884, 109020, 114667, 198, 110631, 16995, 102944, 30512, 121771, 98369, 99046, 224, 104533, 198, 104473, 117587, 112603, 29295, 105047, 20230, 17905, 123716, 39926, 103801, 16995, 111476, 77693, 30512, 126128, 105262, 113009, 198, 76171, 22398, 107805, 29295, 17620, 14888, 234, 116216, 103801, 61689, 198, 58426, 103846, 104473, 117587, 112603, 29295, 15120, 95221, 20230, 17297, 29295, 76947, 114732, 101399, 198, 120379, 115737, 100472, 31431, 127814, 33121, 126172, 115737, 76947, 114732, 16144, 38641, 9174, 7511, 29134, 112603, 107118, 198, 14711, 10447, 244, 110, 33121, 71289, 20230, 47884, 47884, 54926, 103359, 105226, 198, 16995, 112495, 31431, 104473, 117587, 112603, 30512, 122765, 101860, 198, 100783, 102, 71289, 111201, 54926, 125764, 24273, 71289, 119008, 29295, 109431, 103792, 111476, 1569, 100, 124417, 112603, 15682, 103167, 16995, 118881, 29295, 104712, 16144, 38641, 9174, 30813, 59739, 17129, 16995, 32977, 15682, 110631, 30813, 29295, 30591, 76947, 111476, 1569, 100, 124417, 112603, 29295, 103167, 16995, 105879, 33334, 125683, 62004, 38641, 9174, 567, 220, 110631, 16995, 102944, 99046, 224, 31431, 103188, 105557, 30369, 78699, 59739, 103429, 112997, 29220, 45736, 115464, 198, 101171, 111, 108396, 16144, 119506, 40526, 105408, 103732, 104533, 111476, 110631, 16995, 102944, 30512, 99046, 224, 31431, 103188, 105557, 30369, 78699, 59739, 103429, 112997, 29220, 31634, 63212, 108176, 105879, 111476, 103188, 21403, 108, 99046, 224, 18655, 102052, 100204, 116186, 30297, 104369, 25827, 95221, 116825, 107674, 118881, 29295, 104712, 123253, 9174, 90620, 15024, 5486, 47260, 25005, 240, 11972, 30512, 114652, 115320, 104004, 116537, 198, 30297, 59739, 103429, 101983, 112586, 47884, 16995, 119526, 11972, 107407, 105879, 111476, 110631, 16995, 102944, 30512, 125764, 104533, 50834, 102052, 47260, 25005, 240, 11972, 30512, 126419, 20230, 115320, 104004, 106592, 198, 90962, 22398, 22398, 39850, 78434, 9174, 14711, 68042, 25005, 240, 109229, 103202, 198, 47260, 25005, 240, 11972, 102052, 108324, 108602, 33208, 53953, 105284, 29295, 119515, 105469, 16556, 30297, 59739, 103429, 103378, 126194, 198, 64209, 26274, 241, 103429, 105352, 126521, 19732, 117952, 106824, 50834, 127280, 9174, 16, 111299, 122756, 102717, 19732, 124592, 121410, 9080, 47260, 25005, 240, 11972, 30512, 115320, 17129, 100604, 108710, 101557, 96, 124911, 20230, 57106, 115694, 111476, 16, 9080, 17, 21909, 18, 109247, 16144, 47260, 25005, 240, 11972, 30512, 115320, 104004, 116537, 30297, 59739, 103429, 108176, 112997, 29220, 29295, 868, 4, 103167, 47884, 111476, 16, 117816, 19, 109247, 71689, 47260, 25005, 240, 11972, 30512, 115320, 104127, 102334, 116537, 508, 4, 32977, 112997, 29220, 29295, 103167, 16995, 105908, 111476, 17039, 102800, 102473, 16556, 106053, 31958, 121256, 9174, 567, 106555, 33710, 57207, 65299, 91062, 16144, 103188, 21403, 108, 99046, 224, 18655, 198, 111482, 15682, 110135, 124519, 109954, 111571, 16144, 103911, 103181, 16144, 103846, 60868, 115507, 104309, 16556, 198, 115145, 57207, 65299, 91062, 30512, 37689, 109375, 39926, 99046, 224, 18655, 39926, 103801, 16995, 29295, 43514, 119627, 111476, 103188, 21403, 108, 20230, 99046, 224, 18655, 112990, 5486, 115145, 57207, 65299, 91062, 15682, 114052, 111571, 20230, 120299, 100815, 15024, 126172, 16995, 105879, 198, 101921, 236, 102971, 102465, 5486, 124533, 102465, 5486, 91875, 101171, 230, 110567, 33208, 16144, 113385, 115717, 32149, 101832, 107515, 9174, 43240, 120195, 30369, 115145, 57207, 65299, 91062, 15682, 111006, 16144, 104698, 30512, 82317, 109416, 17663, 33334, 77693, 107407, 120266, 198, 61633, 103801, 109954, 9174, 567, 107668, 102802, 19732, 123011, 62004, 198, 67645, 103171, 15308, 226, 113598, 72238, 32977, 127242, 54926, 109335, 16995, 76622, 107515, 29295, 111476, 103188, 21403, 108, 99046, 224, 18655, 15682, 111006, 102052, 109972, 106529, 119279, 50834, 38144, 114732, 16144, 125651, 9174, 103188, 21403, 108, 101983, 121140, 5486, 37689, 109375, 39926, 99046, 224, 18655, 54926, 105908, 27384, 102769, 38641, 1811, 128001, 128000, 90115, 5486, 125283, 105811, 114363, 103722, 103242, 220, 38641, 9174, 104500, 22656, 17792, 78228, 121944, 111926, 16556, 36896, 10110, 105994, 15682, 7705, 78659, 60632, 50834, 116787, 5486, 65917, 60632, 50834, 124911, 105755, 117539, 51609, 29295, 68093, 8107, 106649, 16995, 101832, 25827, 66383, 102404, 78244, 30512, 109768, 79721, 9174, 104500, 22656, 98369, 102052, 102782, 15024, 117735, 100604, 119627, 110371, 108323, 15682, 2118, 107297, 102800, 863, 102677, 87177, 126198, 16995, 106046, 61689, 1811, 26854, 105879, 5486, 78659, 60632, 50834, 16144, 116537, 51385, 64209, 21105, 103, 29295, 33503, 98499, 64121, 103130, 107436, 72315, 9174, 90962, 44971, 105459, 78659, 60632, 50834, 15682, 65917, 60632, 50834, 124911, 105755, 103664, 24, 8107, 108680, 106649, 51609, 114420, 30019, 1811, 2345, 115718, 22656, 17792, 78228, 8165, 76, 51843, 890, 283, 26738, 8, 5587, 220, 17, 11, 220, 679, 23, 198, 71289, 30813, 106624, 39926, 101832, 9174, 15682, 28713, 39926, 5486, 78659, 60632, 50834, 16144, 116537, 65917, 60632, 50834, 124911, 20230, 57106, 115694, 103856, 102625, 117657, 105879, 109954, 32149, 9174, 567, 116422, 112371, 32149, 5486, 78659, 60632, 50834, 16144, 116537, 71289, 31431, 106157, 20230, 122765, 33503, 30369, 198, 78659, 60632, 50834, 16144, 116537, 5486, 11881, 242, 55031, 110018, 67645, 50834, 101837, 235, 106157, 20230, 109415, 124195, 50834, 79721, 109807, 114667, 15682, 78183, 107277, 107515, 9174, 127880, 84851, 108867, 119627, 5486, 70563, 71493, 102741, 5486, 102494, 109089, 102439, 108958, 5486, 99959, 114672, 109482, 115132, 76171, 107271, 47307, 76171, 102083, 100472, 114172, 102512, 17905, 16144, 72404, 36827, 102280, 15682, 5486, 64121, 26854, 78659, 60632, 50834, 38641, 9174, 17792, 104680, 15682, 13177, 78659, 60632, 50834, 117503, 17792, 105459, 20230, 127091, 106984, 231, 161, 57923, 32977, 96412, 102189, 93056, 101365, 109243, 109904, 102944, 863, 30512, 112391, 101732, 104865, 110241, 33121, 107515, 9174, 567, 84102, 99, 60632, 50834, 16144, 116537, 39880, 44971, 33710, 104603, 11972, 115717, 126172, 16995, 95532, 71289, 31431, 106157, 20230, 30591, 29295, 100472, 27452, 103306, 15682, 5486, 3753, 17, 116033, 125053, 103646, 102473, 16556, 36896, 78659, 60632, 50834, 16144, 116537, 103048, 115075, 39276, 16144, 103429, 95221, 10110, 39880, 20251, 93298, 105871, 104735, 248, 114052, 104309, 7705, 115717, 126172, 47884, 5486, 115598, 103892, 108631, 9458, 102404, 104067, 108502, 104698, 108176, 105184, 96455, 29295, 126574, 66383, 117952, 33121, 100481, 79721, 10110, 121846, 105242, 17161, 123505, 44620, 65917, 60632, 50834, 5486, 78659, 60632, 50834, 36761, 16144, 102700, 30046, 107167, 22398, 105514, 103732, 104533, 5486, 4578, 102159, 16144, 102473, 30512, 109203, 64889, 112535, 106596, 39926, 5486, 1135, 11, 931, 17792, 71689, 16144, 102473, 119526, 30512, 102097, 112984, 56051, 113702, 93056, 78659, 60632, 50834, 29295, 103048, 115075, 116436, 111694, 112649, 107277, 126172, 16995, 102677, 101427, 122, 70141, 15682, 64121, 102204, 105823, 104127, 56051, 863, 9174, 78659, 60632, 50834, 109860, 102083, 76947, 115132, 44971, 33710, 104603, 11972, 115717, 126172, 16995, 113334, 77181, 124897, 1811, 95221, 20230, 21105, 103, 117201, 72315, 9174, 567, 84102, 99, 60632, 50834, 16144, 116537, 68093, 97049, 32977, 106649, 51609, 102677, 105037, 236, 16144, 48864, 108323, 198, 33671, 15682, 5486, 117539, 51609, 16144, 102473, 30512, 64121, 38144, 64121, 17129, 109954, 1811, 3753, 15, 8107, 55031, 2550, 15, 8107, 112649, 107441, 115132, 114740, 16556, 23039, 125167, 102473, 77181, 13177, 78659, 60632, 50834, 16144, 116537, 65917, 60632, 50834, 124911, 20230, 57106, 115694, 5486, 115274, 16556, 103664, 68093, 8107, 106649, 51609, 103195, 66383, 95604, 48864, 108323, 29295, 125053, 84389, 79721, 10110, 121846, 105242, 17161, 123505, 67016, 32977, 5486, 108396, 98220, 50834, 76947, 16144, 20251, 103830, 106901, 109793, 33710, 13177, 79519, 59712, 3648, 9635, 10139, 315, 19152, 10646, 20230, 19012, 110, 107121, 103646, 16144, 38641, 9174, 15120, 89753, 16144, 108396, 30046, 105352, 112160, 27479, 15682, 104736, 62004, 109115, 48864, 108323, 115717, 33541, 10110, 102208, 39850, 125380, 72661, 108167, 109415, 102204, 5486, 120065, 112772, 102433, 72661, 89753, 23039, 31431, 79721, 123505, 106649, 51609, 117282, 114667, 16144, 122984, 15682, 36896, 106222, 15682, 65917, 60632, 50834, 16144, 114754, 102924, 60632, 26854, 104466, 19967, 125398, 105879, 5486, 78659, 60632, 50834, 124911, 125030, 76947, 15682, 71634, 108744, 29295, 28713, 109709, 5486, 106649, 51609, 108176, 55031, 66383, 95604, 102944, 9174, 13177, 65917, 60632, 50834, 16144, 117501, 29295, 71634, 108744, 16556, 605, 8107, 32977, 106649, 51609, 20230, 11571, 91006, 120065, 78698, 107800, 33503, 108948, 32149, 102800, 19732, 114225, 78183, 117295, 115789, 5486, 2550, 15, 116033, 125053, 103646, 110018, 15682, 112160, 89753, 16144, 108396, 30046, 126027, 43240, 47884, 29295, 36785, 17129, 84389, 101732, 16144, 38641, 9174, 605, 8107, 106649, 51609, 107118, 5486, 16, 117816, 4364, 22656, 47307, 66953, 47260, 30512, 107246, 16995, 106307, 105784, 20230, 50667, 102800, 109161, 117375, 38641, 1811, 71634, 108744, 16556, 110924, 103296, 109161, 117375, 107407, 105879, 109954, 32149, 90578, 106142, 102669, 32977, 33334, 78183, 100472, 122416, 16556, 115132, 114740, 17792, 127282, 50211, 34208, 103672, 102663, 107113, 104865, 110241, 33121, 107515, 9174, 32977, 43514, 85791, 25827, 118899, 77181, 110371, 78659, 60632, 50834, 106649, 51609, 108323, 15682, 93056, 56965, 108010, 103836, 863, 19732, 113727, 124195, 61689, 9174, 567, 49854, 123, 51609, 16144, 104873, 112984, 41007, 29295, 109606, 103351, 198, 77181, 51330, 102473, 77181, 117119, 29295, 109606, 26854, 105879, 109954, 32149, 11571, 109606, 15682, 93056, 117539, 51609, 16144, 104873, 112984, 41007, 863, 16556, 56051, 9174, 102473, 117824, 100472, 57041, 716, 77, 105514, 19732, 5501, 77, 105514, 29295, 18655, 100472, 104873, 112984, 46034, 110480, 15682, 108895, 38641, 9174, 12, 83639, 60358, 109988, 115737, 100472, 17792, 30512, 124766, 103306, 116602, 20834, 54926, 198, 12, 73028, 119, 102189, 107707, 122013, 19732, 89046, 117139, 30512, 18655, 30369, 198, 12, 220, 109988, 115737, 100472, 24273, 29295, 78659, 60632, 50834, 103351, 32149, 5486, 65917, 60632, 50834, 103351, 104865, 104655, 47884, 198, 12, 127541, 28873, 30512, 43167, 82420, 54926, 198, 17, 11, 931, 14558, 105352, 78183, 28713, 30369, 107461, 39880, 122835, 16144, 113702, 36896, 78659, 60632, 50834, 16144, 107707, 121993, 8107, 106036, 95, 15682, 5486, 65917, 60632, 50834, 124911, 126036, 115274, 39926, 103664, 68093, 97049, 105268, 102518, 10646, 105908, 106053, 31958, 121256, 9174, 51330, 113702, 20230, 75146, 109669, 102532, 5486, 102473, 30512, 103350, 102923, 56051, 25963, 116537, 36896, 78659, 60632, 50834, 104023, 106649, 51609, 66383, 125053, 56051, 16144, 38641, 9174, 51330, 104873, 112984, 16144, 116414, 29295, 109606, 26854, 105879, 109954, 32149, 95532, 567, 84102, 99, 60632, 50834, 16144, 114754, 106649, 51609, 102677, 113702, 125334, 28713, 114667, 198, 103899, 58942, 15682, 110371, 21405, 10110, 44620, 65917, 60632, 50834, 5486, 78659, 60632, 50834, 36761, 105755, 117811, 7705, 20230, 57903, 33541, 9174, 127164, 107707, 45918, 243, 21990, 8107, 48154, 110792, 13177, 78659, 60632, 50834, 117503, 80805, 38248, 119, 108304, 78767, 38641, 9174, 26130, 30832, 17663, 125231, 15682, 5486, 78659, 60632, 50834, 16144, 116537, 5486, 7529, 15, 8107, 21990, 123606, 77181, 46702, 113127, 25580, 74482, 103351, 112973, 5486, 4468, 15, 8107, 21990, 123606, 77181, 5486, 717, 113127, 25580, 74482, 103296, 115079, 21601, 103792, 100909, 38641, 9174, 104873, 112984, 103359, 47523, 16144, 78659, 60632, 50834, 16144, 111017, 40862, 29295, 17039, 106624, 109020, 107294, 106824, 115079, 58942, 100934, 105879, 5486, 101182, 39177, 28542, 16556, 121993, 112919, 8107, 106036, 95, 30512, 104873, 103854, 104533, 5486, 78659, 60632, 50834, 16144, 115274, 8107, 106036, 95, 15682, 83747, 123733, 76947, 103801, 61689, 9174, 17620, 107277, 20230, 47884, 16995, 38641, 123794, 1811, 110993, 79982, 26854, 27452, 103306, 5486, 124572, 20230, 7028, 15, 12, 4468, 15, 8107, 103296, 78659, 60632, 50834, 16144, 21990, 17129 ]
[ 103468, 116537, 27113, 113127, 19732, 78698, 107290, 64121, 38144, 72315, 1811, 7028, 15, 12, 4468, 15, 116358, 56965, 15682, 65917, 60632, 50834, 29295, 1041, 113127, 38641, 9174, 80539, 5486, 679, 24, 116033, 102625, 102189, 17792, 30512, 104873, 112984, 39926, 64121, 17129, 109954, 1811, 104405, 109020, 123253, 32149, 95532, 58, 65917, 60632, 50834, 60, 220, 7529, 15, 8107, 21990, 123606, 7, 7743, 97049, 8, 220, 7529, 20, 8107, 21990, 123606, 7, 6849, 97049, 8, 220, 5926, 15, 8107, 21990, 123606, 117054, 78659, 60632, 50834, 60, 220, 4468, 16, 8107, 21990, 123606, 7, 2166, 97049, 8, 220, 4468, 17, 8107, 21990, 123606, 7, 2618, 97049, 340, 30591, 33503, 16937, 91763, 104760, 6447, 78659, 60632, 50834, 16144, 107707, 115274, 117539, 51609, 15682, 105268, 16995, 78183, 101832, 106609, 85701, 30512, 64121, 38144, 5486, 78659, 60632, 50834, 16144, 114754, 106649, 51609, 36785, 6447, 103856, 102625, 117657, 6447, 19732, 102971, 105242, 109669, 105784, 17792, 112987, 100604, 123253, 9174, 110993, 79982, 26854, 27452, 77181, 57903, 33541, 29295, 110371, 104873, 112984, 41007, 15682, 5486, 104873, 112984, 103359, 47523, 16144, 111017, 40862, 29295, 111419, 16144, 110018, 15682, 33655, 58942, 33541, 29295, 115515, 18904, 119775, 104721, 33208, 107407, 19732, 43568, 115552, 26854, 102473, 115717, 33541, 9174, 10110, 111983, 102780, 5232, 78659, 60632, 50834, 16144, 111017, 40862, 29295, 108010, 30297, 114667, 103306, 15682, 115132, 114740, 122692, 106222, 109904, 124858, 122291, 120900, 19732, 84851, 108867, 84389, 33541, 23954, 567, 83639, 123090, 198, 111926, 16144, 117375, 48634, 15682, 119448, 16995, 38641, 1811, 104500, 22656, 17792, 78228, 29295, 5486, 78659, 60632, 50834, 15682, 106649, 51609, 6447, 102083, 116285, 77693, 30512, 22023, 100204, 30369, 17792, 32977, 115079, 105262, 123253, 9174, 78659, 60632, 50834, 29295, 106649, 51609, 15682, 102677, 104468, 115515, 16144, 110229, 2118, 109440, 22023, 863, 38641, 9174, 90620, 15024, 5486, 78659, 60632, 50834, 16144, 116537, 71289, 31431, 106157, 20230, 115442, 31431, 126172, 16995, 106592, 113727, 104533, 5486, 104500, 22656, 17792, 78228, 29295, 95604, 104466, 36896, 10110, 78659, 60632, 50834, 124911, 102052, 7705, 71289, 30813, 106624, 39926, 101832, 66383, 95604, 104468, 56965, 108010, 107462, 107515, 9174, 71289, 15682, 31431, 103031, 15682, 36827, 102280, 26854, 104865, 110241, 33121, 107515, 9174, 40265, 52884, 77750, 77181, 5486, 126784, 109904, 102831, 26955, 254, 20230, 75146, 109669, 102532, 5486, 109440, 22023, 30512, 50338, 108323, 127145, 107751, 16144, 77219, 32977, 91774, 38144, 64121, 38144, 72315, 9174, 567, 124523, 102181, 108847, 19732, 105242, 17161, 124766, 198, 14711, 220, 3753, 17, 116033, 125053, 103646, 48864, 108323, 10110, 78659, 60632, 50834, 16144, 118881, 29295, 103048, 115075, 20230, 109606, 57903, 23954, 102473, 46034, 25333, 29295, 109242, 122202, 10110, 118480, 116581, 23538, 16144, 57933, 71634, 106826, 42634, 113883, 103927, 33710, 102494, 113155, 119930, 20230, 26130, 30832, 103792, 7705, 16556, 5486, 108396, 109904, 102831, 26955, 254, 103306, 15682, 112294, 16995, 102944, 117084, 61689, 9174, 14711, 220, 2550, 16, 116033, 125053, 103646, 48864, 108323, 16144, 105242, 17161, 10110, 78659, 60632, 50834, 16144, 118881, 29295, 117539, 51609, 29295, 106649, 16995, 23954, 78659, 60632, 50834, 16144, 118881, 29295, 68093, 8107, 117539, 51609, 29295, 106649, 16995, 19732, 110125, 105262, 105242, 17161, 38641, 1811, 17905, 43032, 16144, 121640, 5486, 104873, 112984, 46034, 25333, 20230, 109606, 115991, 79721, 9174, 14711, 66556, 116, 108847, 44620, 65917, 60632, 50834, 5486, 78659, 60632, 50834, 10110, 114654, 7705, 36761, 198, 78659, 60632, 50834, 16144, 100909, 109853, 5486, 125821, 50520, 111, 106624, 53283, 31431, 106956, 116537, 51330, 22656, 30512, 98499, 64121, 17129, 109954, 1811, 50211, 87844, 26854, 114654, 16556, 102181, 102532, 101182, 103846, 5486, 98499, 64121, 126172, 16995, 38641, 1811, 128001, 128000, 60358, 8107, 5486, 111482, 16144, 106222, 103130, 20834, 16144, 117375, 32977, 57903, 5486, 45114, 102, 106367, 33208, 71289, 83747, 45829, 33208, 19732, 9039, 95598, 8107, 112772, 57106, 103854, 104533, 863, 126326, 863, 113115, 54926, 25197, 126989, 32977, 43240, 104091, 43240, 103826, 117084, 50834, 127280, 118855, 36896, 126326, 72342, 101860, 106063, 96356, 16556, 15120, 21990, 103188, 48154, 120837, 126521, 66383, 91763, 30297, 123737, 5486, 111482, 32977, 115079, 107290, 50834, 127280, 9174, 37271, 18904, 15682, 112160, 21990, 106063, 96356, 16556, 103188, 48154, 17663, 125396, 16144, 126574, 107707, 66378, 17599, 112, 5486, 126326, 21105, 103, 16995, 100909, 113245, 68408, 39850, 37823, 67075, 109853, 48154, 126362, 78434, 9174, 111482, 110792, 20834, 38093, 16995, 29295, 28190, 105987, 36785, 106046, 106358, 31431, 108948, 114308, 40862, 16995, 29295, 107202, 46034, 16556, 106063, 96356, 30512, 102647, 109416, 30297, 106046, 103836, 123737, 15682, 5486, 112371, 104328, 127637, 44915, 30512, 116696, 48552, 39926, 64121, 38144, 72315, 9174, 11144, 102433, 17792, 123737, 15682, 15120, 21990, 106063, 96356, 72661, 126521, 19732, 113727, 100934, 114754, 127181, 6447, 112479, 1135, 97049, 103296, 127637, 32977, 126326, 56051, 105908, 100604, 107707, 111017, 40862, 30512, 13177, 21990, 96311, 107, 39442, 106367, 96455, 66383, 104712, 5486, 679, 20, 116358, 29504, 110095, 104873, 112984, 103732, 104533, 102433, 17792, 123737, 15682, 1419, 13, 1806, 113127, 5486, 111482, 15682, 975, 13, 2705, 113127, 19732, 37271, 74482, 32977, 115079, 21601, 54926, 91774, 121423, 107407, 102083, 58942, 33541, 9174, 102433, 77181, 60358, 8107, 110371, 21990, 96311, 107, 39442, 106367, 96455, 29295, 121410, 8107, 115442, 103836, 112973, 102321, 103397, 38641, 1811, 83687, 16556, 64121, 104533, 17620, 117295, 104466, 111482, 126036, 123737, 16144, 39442, 106367, 111017, 40862, 15682, 45736, 115737, 76947, 61689, 1811, 123737, 29295, 15120, 21990, 106063, 96356, 16556, 126521, 102677, 114667, 15682, 32977, 43514, 85791, 25827, 103826, 104680, 119627, 5486, 115303, 11881, 242, 25580, 19732, 57106, 103854, 104533, 126326, 16144, 109215, 34171, 30512, 112391, 123733, 100472, 102677, 112973, 113385, 16144, 115303, 59739, 102083, 58942, 33541, 125939, 16144, 113146, 5486, 111482, 16144, 106222, 103130, 20834, 113468, 111482, 29295, 106222, 112535, 37026, 80195, 56051, 118733, 5486, 45114, 102, 106367, 33208, 32977, 103130, 126559, 105879, 109954, 9174, 113146, 16144, 89753, 33121, 113468, 123737, 15682, 111482, 20230, 57106, 103854, 5486, 126326, 30512, 105047, 29295, 103646, 31431, 41642, 116310, 55031, 106063, 96356, 109860, 19732, 55031, 124233, 103468, 31431, 54926, 115789, 83747, 123733, 31431, 114318, 31431, 30591, 58942, 101860, 126326, 15024, 102083, 28713, 24273, 29295, 126521, 102677, 104346, 40474, 29295, 30591, 109709, 123733, 100472, 102083, 58942, 33541, 9174, 102321, 31640, 16144, 102433, 16144, 123737, 16144, 66378, 17599, 112, 103306, 5486, 8107, 106036, 95, 116690, 103470, 863, 126326, 863, 20230, 118220, 30369, 109215, 29295, 103470, 15120, 21990, 106063, 96356, 72661, 109606, 100604, 108995, 19732, 78698, 107290, 103801, 103836, 114754, 43240, 115737, 103836, 105879, 109954, 9174, 11144, 15120, 21990, 96311, 107, 106063, 96356, 16556, 107991, 125396, 29295, 126574, 107707, 66378, 17599, 112, 107118, 11571, 112479, 15120, 21990, 106063, 96356, 30512, 102647, 104369, 17792, 71289, 21990, 96311, 107, 106063, 96356, 115717, 126172, 16995, 116537, 67645, 103171, 117809, 29295, 127181, 105879, 109954, 32149, 109807, 66378, 17599, 112, 30512, 123680, 102639, 100481, 50834, 33541, 9174, 104971, 118075, 34171, 35083, 29295, 19732, 111243, 68759, 25197, 99695, 61398, 83354, 198, 111482, 29295, 126326, 30512, 118220, 30369, 113385, 16144, 115303, 59739, 107118, 5486, 20834, 106518, 19732, 45829, 101662, 38144, 38641, 1811, 123737, 15682, 58426, 28542, 5486, 8107, 106036, 95, 30512, 30358, 101832, 38144, 30297, 16995, 47884, 103378, 26854, 105879, 68759, 25197, 99695, 61398, 20230, 123726, 100481, 47884, 105908, 125545, 9174, 119627, 13177, 68759, 25197, 99695, 61398, 66383, 95604, 34171, 35083, 16144, 118124, 30512, 104196, 39926, 64121, 104984, 5486, 120007, 111363, 55487, 101557, 106, 29295, 103082, 126386, 19732, 15017, 231, 105262, 115789, 125545, 1811, 72238, 114737, 26854, 109453, 29295, 102532, 32977, 68759, 25197, 99695, 61398, 26854, 123737, 15682, 107420, 89154, 106240, 32977, 113727, 101860, 20230, 107991, 118733, 5486, 106367, 23538, 30512, 110074, 39926, 114732, 125396, 115991, 33541, 1811, 115261, 119560, 117876, 30512, 104622, 61826, 56051, 16995, 19732, 78698, 105262, 83354, 198, 123737, 16144, 106222, 113245, 118013, 82912, 15682, 5486, 8107, 106036, 95, 19732, 107173, 117158, 101083, 109768, 47884, 102944, 38641, 1811, 32977, 43514, 85791, 25827, 37271, 117876, 30512, 80988, 239, 105714, 110104, 19732, 6447, 119150, 120208, 32977, 19732, 111243, 27384, 102769, 119627, 108048, 15682, 117876, 29295, 105465, 102800, 19732, 112391, 100934, 55031, 72661, 57903, 33541, 9174, 51385, 23187, 56051, 104654, 30512, 32018, 109315, 111482, 103306, 15682, 109161, 16995, 100909, 111769, 123017, 30926, 103350, 38641, 1811, 32977, 43514, 85791, 25827, 123726, 100481, 47884, 16325, 16556, 117876, 20230, 106382, 126172, 82973, 32977, 107693, 119627, 5486, 126326, 104856, 104533, 32335, 104622, 61826, 54926, 102944, 29295, 99849, 26854, 104865, 15682, 87177, 15024, 40862, 76947, 113954, 54926, 109215, 115991, 33541, 1811, 111482, 15682, 123737, 20230, 99849, 126036, 27384, 102769, 116446, 102717, 102800, 103378, 126529, 38641, 9174, 117876, 30512, 104622, 61826, 56051, 16995, 95221, 69978, 86614, 17620, 107277, 33541, 29295, 32335, 104622, 61826, 110480, 25129, 30512, 21105, 96, 107277, 78698, 107290, 111482, 20230, 120208, 30512, 108044, 105262, 106592, 39926, 64121, 17129, 109954, 1811, 115261, 126892, 126326, 120007, 111363, 22649, 101067, 29295, 126574, 83354, 198, 105994, 77181, 107943, 109335, 100604, 5486, 106046, 76947, 102532, 32977, 126326, 54926, 120007, 111363, 22649, 101067, 15682, 97049, 30512, 104862, 30297, 48154, 19732, 20230, 45736, 115737, 103836, 116497, 38641, 118855, 5486, 48864, 114172, 71289, 110226, 17701, 5486, 33710, 107840, 32977, 115274, 109904, 110115, 126326, 120007, 16144, 22957, 36785, 116547, 29295, 104195, 16995, 17792, 32977, 43240, 117201, 109954, 1811, 126326, 120007, 113115, 54926, 22649, 101067, 29295, 126574, 123737, 15682, 5486, 126326, 118765, 80805, 102514, 16073, 20230, 14309, 98, 30369, 125396, 29295, 126574, 102083, 58942, 33541, 9174, 104971, 49412, 96, 126326, 20230, 102057, 249, 109115, 47884, 100604, 83354, 198, 102831, 42891, 117758, 111482, 120111, 16556, 37271, 103296, 102494, 57933, 38144, 105898, 123737, 15682, 5486, 126326, 21105, 103, 16995, 24273, 29295, 39135, 103171, 111482, 19732, 109739, 104369, 105908, 108608, 105879, 72368, 40862, 29295, 126521, 19732, 113727, 33541, 1811, 126326, 104856, 104533, 32977, 43514, 85791, 25827, 127177, 111482, 19732, 116690, 114792, 59739, 105908, 106084, 100604, 15024, 5486, 110241, 116690, 114792, 100472, 16144, 105110, 111179, 95221, 121247, 16995, 115717, 33541, 9174, 102494, 57933, 30369, 123737, 15682, 5486, 126326, 54926, 118733, 111764, 120650, 91875, 118765, 105908, 71634, 108744, 19732, 112391, 30369, 105879, 30591, 104984, 126326, 15682, 70141, 102532, 100604, 123253, 1811, 119627, 108948, 35330, 19732, 33710, 107840, 107407, 123737, 15682, 1272, 31640, 120264, 17129, 77181, 111764, 20230, 109739, 104127, 126326, 54926, 80805, 102514, 16073, 32977, 43240, 117201, 109954, 9174, 104971, 49412, 97, 122013, 114792, 59739, 37026, 22023, 29295, 103470, 5486, 122013, 111363, 113160, 49988, 30512, 104862, 102334, 47884, 100604, 83354, 198, 115364, 110226, 17701, 29295, 83747, 100604, 19732, 5486, 122013, 114792, 59739, 37026, 22023, 119703, 114754, 43240, 117201, 109954, 1811, 102321, 39177, 28542, 16556, 103350, 46729, 127331, 124949, 16556, 110999, 103868, 107898, 35330, 30512, 106382, 71289, 15024, 80631, 107, 35330, 15682, 108270, 42634, 1811, 32977, 43514, 85791, 25827, 122485, 127331, 124949, 30512, 39926, 102532, 32977, 5486, 110999, 103868, 29295, 104603, 68581, 16073, 112193, 104309, 127303, 104984, 110226, 17701, 29295, 30591, 114598, 121410, 9953, 104603, 37823, 104603, 37823, 16144, 104654, 1811, 32977, 43514, 85791, 25827, 108895, 26854, 104533, 122013, 114792, 59739, 37026, 22023, 29295, 103470, 109020, 104468, 112672, 38641, 9174, 53900, 126326, 26854, 104533, 5486, 37087, 38144, 29295, 105994, 103378, 16144, 113160, 49988, 77181, 123733, 76947, 50834, 33541, 1811, 106984, 223, 71289, 45829, 67645, 32977, 5486, 115364, 122013, 19732, 106984, 223, 16144, 122013, 16144, 113160, 49988, 30512, 19732, 33503, 123207, 16995, 124324, 104856, 104533, 116898, 126910, 110226, 17701, 122291, 103306, 32977, 106063, 96356, 16144, 110018, 126036, 113160, 49988, 29295, 30358, 115737, 31431, 33541, 113637, 104466, 78698, 105262, 123737, 16144, 107803, 102052, 5486, 126326, 30512, 101790, 99, 107436, 15120, 21990, 106063, 96356, 108176, 80805, 102514, 16073, 29295, 43240, 115737, 76947, 114732, 123253, 9174, 11144, 15120, 21990, 106063, 96356, 16556, 107991, 68408, 39850, 37823, 67075, 107118, 11571, 112479, 21990, 96311, 107, 106063, 96356, 16556, 107991, 123737, 112028, 87217, 16144, 39850, 37823, 67075, 15682, 5486, 863, 113160, 49988, 114792, 28713, 103470, 38144, 126521, 100909, 863, 38641, 1811, 115364, 100909, 103378, 113727, 100481, 104984, 126521, 105879, 111764, 95221, 110674, 20230, 104654, 54926, 105908, 125545, 1811, 119627, 112160, 21990, 106063, 96356, 16556, 107991, 102052, 32977, 43514, 85791, 25827, 105068, 109972, 78183, 123207, 16995, 124324, 68408, 39850, 37823, 67075, 32977, 48706, 54926, 105879, 21105, 96, 107277, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 118075, 123462, 106063, 102625, 54926, 112997, 29220, 29295, 45736, 47884, 109020, 198, 106063, 96356, 127303, 104984, 122603, 106036, 95, 101983, 114598, 122485, 16556, 127331, 33503, 17663, 100909, 115717, 33541, 1811, 97049, 30512, 19732, 30369, 48154, 19732, 20230, 118765, 105908, 43240, 115737, 100472, 31431, 103429, 95221, 108176, 118733, 5486, 112832, 105352, 52030, 18655, 102204, 100604, 110674, 121993, 39926, 114732, 102677, 116292, 102800, 112997, 29220, 29295, 45736, 47884, 109020, 104468, 21990, 96311, 107, 106063, 96356, 16144, 68408, 39850, 37823, 67075, 102083, 105262, 123253, 118855, 45736, 106036, 95, 108176, 103296, 117876, 30512, 80988, 239, 105714, 121118, 17792, 108680, 5486, 92877, 74482, 15682, 119208, 16556, 123462, 80195, 15024, 126172, 47884, 46729, 20230, 113801, 22957, 123731, 29295, 43514, 115717, 5486, 123462, 106063, 102625, 39926, 114732, 102083, 61689, 9174, 119560, 110176, 106759, 125001, 100604, 126513, 117943, 104028, 114754, 16995, 100604 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103468, 116537, 27113, 113127, 19732, 78698, 107290, 64121, 38144, 72315, 1811, 7028, 15, 12, 4468, 15, 116358, 56965, 15682, 65917, 60632, 50834, 29295, 1041, 113127, 38641, 9174, 80539, 5486, 679, 24, 116033, 102625, 102189, 17792, 30512, 104873, 112984, 39926, 64121, 17129, 109954, 1811, 104405, 109020, 123253, 32149, 95532, 58, 65917, 60632, 50834, 60, 220, 7529, 15, 8107, 21990, 123606, 7, 7743, 97049, 8, 220, 7529, 20, 8107, 21990, 123606, 7, 6849, 97049, 8, 220, 5926, 15, 8107, 21990, 123606, 117054, 78659, 60632, 50834, 60, 220, 4468, 16, 8107, 21990, 123606, 7, 2166, 97049, 8, 220, 4468, 17, 8107, 21990, 123606, 7, 2618, 97049, 340, 30591, 33503, 16937, 91763, 104760, 6447, 78659, 60632, 50834, 16144, 107707, 115274, 117539, 51609, 15682, 105268, 16995, 78183, 101832, 106609, 85701, 30512, 64121, 38144, 5486, 78659, 60632, 50834, 16144, 114754, 106649, 51609, 36785, 6447, 103856, 102625, 117657, 6447, 19732, 102971, 105242, 109669, 105784, 17792, 112987, 100604, 123253, 9174, 110993, 79982, 26854, 27452, 77181, 57903, 33541, 29295, 110371, 104873, 112984, 41007, 15682, 5486, 104873, 112984, 103359, 47523, 16144, 111017, 40862, 29295, 111419, 16144, 110018, 15682, 33655, 58942, 33541, 29295, 115515, 18904, 119775, 104721, 33208, 107407, 19732, 43568, 115552, 26854, 102473, 115717, 33541, 9174, 10110, 111983, 102780, 5232, 78659, 60632, 50834, 16144, 111017, 40862, 29295, 108010, 30297, 114667, 103306, 15682, 115132, 114740, 122692, 106222, 109904, 124858, 122291, 120900, 19732, 84851, 108867, 84389, 33541, 23954, 567, 83639, 123090, 198, 111926, 16144, 117375, 48634, 15682, 119448, 16995, 38641, 1811, 104500, 22656, 17792, 78228, 29295, 5486, 78659, 60632, 50834, 15682, 106649, 51609, 6447, 102083, 116285, 77693, 30512, 22023, 100204, 30369, 17792, 32977, 115079, 105262, 123253, 9174, 78659, 60632, 50834, 29295, 106649, 51609, 15682, 102677, 104468, 115515, 16144, 110229, 2118, 109440, 22023, 863, 38641, 9174, 90620, 15024, 5486, 78659, 60632, 50834, 16144, 116537, 71289, 31431, 106157, 20230, 115442, 31431, 126172, 16995, 106592, 113727, 104533, 5486, 104500, 22656, 17792, 78228, 29295, 95604, 104466, 36896, 10110, 78659, 60632, 50834, 124911, 102052, 7705, 71289, 30813, 106624, 39926, 101832, 66383, 95604, 104468, 56965, 108010, 107462, 107515, 9174, 71289, 15682, 31431, 103031, 15682, 36827, 102280, 26854, 104865, 110241, 33121, 107515, 9174, 40265, 52884, 77750, 77181, 5486, 126784, 109904, 102831, 26955, 254, 20230, 75146, 109669, 102532, 5486, 109440, 22023, 30512, 50338, 108323, 127145, 107751, 16144, 77219, 32977, 91774, 38144, 64121, 38144, 72315, 9174, 567, 124523, 102181, 108847, 19732, 105242, 17161, 124766, 198, 14711, 220, 3753, 17, 116033, 125053, 103646, 48864, 108323, 10110, 78659, 60632, 50834, 16144, 118881, 29295, 103048, 115075, 20230, 109606, 57903, 23954, 102473, 46034, 25333, 29295, 109242, 122202, 10110, 118480, 116581, 23538, 16144, 57933, 71634, 106826, 42634, 113883, 103927, 33710, 102494, 113155, 119930, 20230, 26130, 30832, 103792, 7705, 16556, 5486, 108396, 109904, 102831, 26955, 254, 103306, 15682, 112294, 16995, 102944, 117084, 61689, 9174, 14711, 220, 2550, 16, 116033, 125053, 103646, 48864, 108323, 16144, 105242, 17161, 10110, 78659, 60632, 50834, 16144, 118881, 29295, 117539, 51609, 29295, 106649, 16995, 23954, 78659, 60632, 50834, 16144, 118881, 29295, 68093, 8107, 117539, 51609, 29295, 106649, 16995, 19732, 110125, 105262, 105242, 17161, 38641, 1811, 17905, 43032, 16144, 121640, 5486, 104873, 112984, 46034, 25333, 20230, 109606, 115991, 79721, 9174, 14711, 66556, 116, 108847, 44620, 65917, 60632, 50834, 5486, 78659, 60632, 50834, 10110, 114654, 7705, 36761, 198, 78659, 60632, 50834, 16144, 100909, 109853, 5486, 125821, 50520, 111, 106624, 53283, 31431, 106956, 116537, 51330, 22656, 30512, 98499, 64121, 17129, 109954, 1811, 50211, 87844, 26854, 114654, 16556, 102181, 102532, 101182, 103846, 5486, 98499, 64121, 126172, 16995, 38641, 1811, 128001, 128000, 60358, 8107, 5486, 111482, 16144, 106222, 103130, 20834, 16144, 117375, 32977, 57903, 5486, 45114, 102, 106367, 33208, 71289, 83747, 45829, 33208, 19732, 9039, 95598, 8107, 112772, 57106, 103854, 104533, 863, 126326, 863, 113115, 54926, 25197, 126989, 32977, 43240, 104091, 43240, 103826, 117084, 50834, 127280, 118855, 36896, 126326, 72342, 101860, 106063, 96356, 16556, 15120, 21990, 103188, 48154, 120837, 126521, 66383, 91763, 30297, 123737, 5486, 111482, 32977, 115079, 107290, 50834, 127280, 9174, 37271, 18904, 15682, 112160, 21990, 106063, 96356, 16556, 103188, 48154, 17663, 125396, 16144, 126574, 107707, 66378, 17599, 112, 5486, 126326, 21105, 103, 16995, 100909, 113245, 68408, 39850, 37823, 67075, 109853, 48154, 126362, 78434, 9174, 111482, 110792, 20834, 38093, 16995, 29295, 28190, 105987, 36785, 106046, 106358, 31431, 108948, 114308, 40862, 16995, 29295, 107202, 46034, 16556, 106063, 96356, 30512, 102647, 109416, 30297, 106046, 103836, 123737, 15682, 5486, 112371, 104328, 127637, 44915, 30512, 116696, 48552, 39926, 64121, 38144, 72315, 9174, 11144, 102433, 17792, 123737, 15682, 15120, 21990, 106063, 96356, 72661, 126521, 19732, 113727, 100934, 114754, 127181, 6447, 112479, 1135, 97049, 103296, 127637, 32977, 126326, 56051, 105908, 100604, 107707, 111017, 40862, 30512, 13177, 21990, 96311, 107, 39442, 106367, 96455, 66383, 104712, 5486, 679, 20, 116358, 29504, 110095, 104873, 112984, 103732, 104533, 102433, 17792, 123737, 15682, 1419, 13, 1806, 113127, 5486, 111482, 15682, 975, 13, 2705, 113127, 19732, 37271, 74482, 32977, 115079, 21601, 54926, 91774, 121423, 107407, 102083, 58942, 33541, 9174, 102433, 77181, 60358, 8107, 110371, 21990, 96311, 107, 39442, 106367, 96455, 29295, 121410, 8107, 115442, 103836, 112973, 102321, 103397, 38641, 1811, 83687, 16556, 64121, 104533, 17620, 117295, 104466, 111482, 126036, 123737, 16144, 39442, 106367, 111017, 40862, 15682, 45736, 115737, 76947, 61689, 1811, 123737, 29295, 15120, 21990, 106063, 96356, 16556, 126521, 102677, 114667, 15682, 32977, 43514, 85791, 25827, 103826, 104680, 119627, 5486, 115303, 11881, 242, 25580, 19732, 57106, 103854, 104533, 126326, 16144, 109215, 34171, 30512, 112391, 123733, 100472, 102677, 112973, 113385, 16144, 115303, 59739, 102083, 58942, 33541, 125939, 16144, 113146, 5486, 111482, 16144, 106222, 103130, 20834, 113468, 111482, 29295, 106222, 112535, 37026, 80195, 56051, 118733, 5486, 45114, 102, 106367, 33208, 32977, 103130, 126559, 105879, 109954, 9174, 113146, 16144, 89753, 33121, 113468, 123737, 15682, 111482, 20230, 57106, 103854, 5486, 126326, 30512, 105047, 29295, 103646, 31431, 41642, 116310, 55031, 106063, 96356, 109860, 19732, 55031, 124233, 103468, 31431, 54926, 115789, 83747, 123733, 31431, 114318, 31431, 30591, 58942, 101860, 126326, 15024, 102083, 28713, 24273, 29295, 126521, 102677, 104346, 40474, 29295, 30591, 109709, 123733, 100472, 102083, 58942, 33541, 9174, 102321, 31640, 16144, 102433, 16144, 123737, 16144, 66378, 17599, 112, 103306, 5486, 8107, 106036, 95, 116690, 103470, 863, 126326, 863, 20230, 118220, 30369, 109215, 29295, 103470, 15120, 21990, 106063, 96356, 72661, 109606, 100604, 108995, 19732, 78698, 107290, 103801, 103836, 114754, 43240, 115737, 103836, 105879, 109954, 9174, 11144, 15120, 21990, 96311, 107, 106063, 96356, 16556, 107991, 125396, 29295, 126574, 107707, 66378, 17599, 112, 107118, 11571, 112479, 15120, 21990, 106063, 96356, 30512, 102647, 104369, 17792, 71289, 21990, 96311, 107, 106063, 96356, 115717, 126172, 16995, 116537, 67645, 103171, 117809, 29295, 127181, 105879, 109954, 32149, 109807, 66378, 17599, 112, 30512, 123680, 102639, 100481, 50834, 33541, 9174, 104971, 118075, 34171, 35083, 29295, 19732, 111243, 68759, 25197, 99695, 61398, 83354, 198, 111482, 29295, 126326, 30512, 118220, 30369, 113385, 16144, 115303, 59739, 107118, 5486, 20834, 106518, 19732, 45829, 101662, 38144, 38641, 1811, 123737, 15682, 58426, 28542, 5486, 8107, 106036, 95, 30512, 30358, 101832, 38144, 30297, 16995, 47884, 103378, 26854, 105879, 68759, 25197, 99695, 61398, 20230, 123726, 100481, 47884, 105908, 125545, 9174, 119627, 13177, 68759, 25197, 99695, 61398, 66383, 95604, 34171, 35083, 16144, 118124, 30512, 104196, 39926, 64121, 104984, 5486, 120007, 111363, 55487, 101557, 106, 29295, 103082, 126386, 19732, 15017, 231, 105262, 115789, 125545, 1811, 72238, 114737, 26854, 109453, 29295, 102532, 32977, 68759, 25197, 99695, 61398, 26854, 123737, 15682, 107420, 89154, 106240, 32977, 113727, 101860, 20230, 107991, 118733, 5486, 106367, 23538, 30512, 110074, 39926, 114732, 125396, 115991, 33541, 1811, 115261, 119560, 117876, 30512, 104622, 61826, 56051, 16995, 19732, 78698, 105262, 83354, 198, 123737, 16144, 106222, 113245, 118013, 82912, 15682, 5486, 8107, 106036, 95, 19732, 107173, 117158, 101083, 109768, 47884, 102944, 38641, 1811, 32977, 43514, 85791, 25827, 37271, 117876, 30512, 80988, 239, 105714, 110104, 19732, 6447, 119150, 120208, 32977, 19732, 111243, 27384, 102769, 119627, 108048, 15682, 117876, 29295, 105465, 102800, 19732, 112391, 100934, 55031, 72661, 57903, 33541, 9174, 51385, 23187, 56051, 104654, 30512, 32018, 109315, 111482, 103306, 15682, 109161, 16995, 100909, 111769, 123017, 30926, 103350, 38641, 1811, 32977, 43514, 85791, 25827, 123726, 100481, 47884, 16325, 16556, 117876, 20230, 106382, 126172, 82973, 32977, 107693, 119627, 5486, 126326, 104856, 104533, 32335, 104622, 61826, 54926, 102944, 29295, 99849, 26854, 104865, 15682, 87177, 15024, 40862, 76947, 113954, 54926, 109215, 115991, 33541, 1811, 111482, 15682, 123737, 20230, 99849, 126036, 27384, 102769, 116446, 102717, 102800, 103378, 126529, 38641, 9174, 117876, 30512, 104622, 61826, 56051, 16995, 95221, 69978, 86614, 17620, 107277, 33541, 29295, 32335, 104622, 61826, 110480, 25129, 30512, 21105, 96, 107277, 78698, 107290, 111482, 20230, 120208, 30512, 108044, 105262, 106592, 39926, 64121, 17129, 109954, 1811, 115261, 126892, 126326, 120007, 111363, 22649, 101067, 29295, 126574, 83354, 198, 105994, 77181, 107943, 109335, 100604, 5486, 106046, 76947, 102532, 32977, 126326, 54926, 120007, 111363, 22649, 101067, 15682, 97049, 30512, 104862, 30297, 48154, 19732, 20230, 45736, 115737, 103836, 116497, 38641, 118855, 5486, 48864, 114172, 71289, 110226, 17701, 5486, 33710, 107840, 32977, 115274, 109904, 110115, 126326, 120007, 16144, 22957, 36785, 116547, 29295, 104195, 16995, 17792, 32977, 43240, 117201, 109954, 1811, 126326, 120007, 113115, 54926, 22649, 101067, 29295, 126574, 123737, 15682, 5486, 126326, 118765, 80805, 102514, 16073, 20230, 14309, 98, 30369, 125396, 29295, 126574, 102083, 58942, 33541, 9174, 104971, 49412, 96, 126326, 20230, 102057, 249, 109115, 47884, 100604, 83354, 198, 102831, 42891, 117758, 111482, 120111, 16556, 37271, 103296, 102494, 57933, 38144, 105898, 123737, 15682, 5486, 126326, 21105, 103, 16995, 24273, 29295, 39135, 103171, 111482, 19732, 109739, 104369, 105908, 108608, 105879, 72368, 40862, 29295, 126521, 19732, 113727, 33541, 1811, 126326, 104856, 104533, 32977, 43514, 85791, 25827, 127177, 111482, 19732, 116690, 114792, 59739, 105908, 106084, 100604, 15024, 5486, 110241, 116690, 114792, 100472, 16144, 105110, 111179, 95221, 121247, 16995, 115717, 33541, 9174, 102494, 57933, 30369, 123737, 15682, 5486, 126326, 54926, 118733, 111764, 120650, 91875, 118765, 105908, 71634, 108744, 19732, 112391, 30369, 105879, 30591, 104984, 126326, 15682, 70141, 102532, 100604, 123253, 1811, 119627, 108948, 35330, 19732, 33710, 107840, 107407, 123737, 15682, 1272, 31640, 120264, 17129, 77181, 111764, 20230, 109739, 104127, 126326, 54926, 80805, 102514, 16073, 32977, 43240, 117201, 109954, 9174, 104971, 49412, 97, 122013, 114792, 59739, 37026, 22023, 29295, 103470, 5486, 122013, 111363, 113160, 49988, 30512, 104862, 102334, 47884, 100604, 83354, 198, 115364, 110226, 17701, 29295, 83747, 100604, 19732, 5486, 122013, 114792, 59739, 37026, 22023, 119703, 114754, 43240, 117201, 109954, 1811, 102321, 39177, 28542, 16556, 103350, 46729, 127331, 124949, 16556, 110999, 103868, 107898, 35330, 30512, 106382, 71289, 15024, 80631, 107, 35330, 15682, 108270, 42634, 1811, 32977, 43514, 85791, 25827, 122485, 127331, 124949, 30512, 39926, 102532, 32977, 5486, 110999, 103868, 29295, 104603, 68581, 16073, 112193, 104309, 127303, 104984, 110226, 17701, 29295, 30591, 114598, 121410, 9953, 104603, 37823, 104603, 37823, 16144, 104654, 1811, 32977, 43514, 85791, 25827, 108895, 26854, 104533, 122013, 114792, 59739, 37026, 22023, 29295, 103470, 109020, 104468, 112672, 38641, 9174, 53900, 126326, 26854, 104533, 5486, 37087, 38144, 29295, 105994, 103378, 16144, 113160, 49988, 77181, 123733, 76947, 50834, 33541, 1811, 106984, 223, 71289, 45829, 67645, 32977, 5486, 115364, 122013, 19732, 106984, 223, 16144, 122013, 16144, 113160, 49988, 30512, 19732, 33503, 123207, 16995, 124324, 104856, 104533, 116898, 126910, 110226, 17701, 122291, 103306, 32977, 106063, 96356, 16144, 110018, 126036, 113160, 49988, 29295, 30358, 115737, 31431, 33541, 113637, 104466, 78698, 105262, 123737, 16144, 107803, 102052, 5486, 126326, 30512, 101790, 99, 107436, 15120, 21990, 106063, 96356, 108176, 80805, 102514, 16073, 29295, 43240, 115737, 76947, 114732, 123253, 9174, 11144, 15120, 21990, 106063, 96356, 16556, 107991, 68408, 39850, 37823, 67075, 107118, 11571, 112479, 21990, 96311, 107, 106063, 96356, 16556, 107991, 123737, 112028, 87217, 16144, 39850, 37823, 67075, 15682, 5486, 863, 113160, 49988, 114792, 28713, 103470, 38144, 126521, 100909, 863, 38641, 1811, 115364, 100909, 103378, 113727, 100481, 104984, 126521, 105879, 111764, 95221, 110674, 20230, 104654, 54926, 105908, 125545, 1811, 119627, 112160, 21990, 106063, 96356, 16556, 107991, 102052, 32977, 43514, 85791, 25827, 105068, 109972, 78183, 123207, 16995, 124324, 68408, 39850, 37823, 67075, 32977, 48706, 54926, 105879, 21105, 96, 107277, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 118075, 123462, 106063, 102625, 54926, 112997, 29220, 29295, 45736, 47884, 109020, 198, 106063, 96356, 127303, 104984, 122603, 106036, 95, 101983, 114598, 122485, 16556, 127331, 33503, 17663, 100909, 115717, 33541, 1811, 97049, 30512, 19732, 30369, 48154, 19732, 20230, 118765, 105908, 43240, 115737, 100472, 31431, 103429, 95221, 108176, 118733, 5486, 112832, 105352, 52030, 18655, 102204, 100604, 110674, 121993, 39926, 114732, 102677, 116292, 102800, 112997, 29220, 29295, 45736, 47884, 109020, 104468, 21990, 96311, 107, 106063, 96356, 16144, 68408, 39850, 37823, 67075, 102083, 105262, 123253, 118855, 45736, 106036, 95, 108176, 103296, 117876, 30512, 80988, 239, 105714, 121118, 17792, 108680, 5486, 92877, 74482, 15682, 119208, 16556, 123462, 80195, 15024, 126172, 47884, 46729, 20230, 113801, 22957, 123731, 29295, 43514, 115717, 5486, 123462, 106063, 102625, 39926, 114732, 102083, 61689, 9174, 119560, 110176, 106759, 125001, 100604, 126513, 117943, 104028, 114754, 16995, 100604 ]
[ 198, 21990, 96311, 107, 106063, 96356, 16144, 107803, 5486, 96356, 32943, 103195, 122013, 125001, 123733, 104533, 127091, 105693, 104983, 20230, 117943, 104028, 114754, 16995, 123733, 31431, 33541, 1811, 122013, 71289, 127857, 116749, 16144, 106759, 7688, 248, 104309, 19732, 89046, 117139, 30512, 108167, 40862, 30297, 16325, 127303, 104984, 109606, 100604, 119627, 5486, 110924, 103296, 118430, 118095, 20230, 89046, 117139, 15024, 40862, 30297, 16325, 111769, 123253, 1811, 115364, 96356, 20230, 127091, 40862, 100472, 104983, 15682, 101182, 113314, 16144, 112854, 125636, 29295, 109215, 115717, 33541, 9174, 126892, 37271, 15682, 103424, 47884, 111243, 45163, 37507, 59614, 101860, 123462, 106063, 99750, 20230, 51043, 249, 17129, 104028, 198, 21990, 96311, 107, 106063, 96356, 16556, 107991, 6447, 19732, 104662, 109013, 116497, 119627, 5486, 105104, 114267, 112661, 122756, 43568, 34171, 20230, 15973, 224, 21105, 243, 30512, 112391, 30369, 105908, 101182, 123253, 1811, 105994, 102052, 99695, 67075, 29295, 107991, 55031, 27384, 121313, 6447, 119150, 17792, 32977, 127181, 116497, 38641, 1811, 119627, 99695, 67075, 15682, 123462, 106063, 99750, 30512, 23706, 240, 39926, 15682, 120700, 33541, 29295, 117119, 32149, 105693, 104983, 20230, 101083, 87177, 30512, 39926, 124089, 113334, 77181, 124897, 115397, 21990, 106063, 96356, 16556, 107991, 102677, 109335, 5486, 106222, 9554, 105352, 113116, 9554, 105352, 5486, 53900, 104654, 28190, 72661, 123462, 106063, 30512, 113420, 58942, 123207, 105110, 100604, 9080, 29295, 30250, 227, 32149, 33121, 103856, 32149, 33121, 109749, 102677, 106592, 112854, 125636, 54926, 109215, 115991, 33541, 9174, 11144, 123011, 62004, 112479, 15120, 21990, 106063, 96356, 115717, 120550, 17792, 102052, 66378, 17599, 112, 115991, 33541, 124845, 123737, 15682, 5486, 111482, 20230, 57106, 115694, 126326, 113115, 54926, 107507, 91062, 37823, 101198, 67075, 30512, 112391, 100604, 105879, 36896, 51330, 110674, 106063, 96356, 72661, 126521, 107188, 66383, 51385, 87844, 20230, 104662, 107436, 114732, 125396, 29295, 45736, 117201, 109954, 9174, 117876, 29295, 105465, 102800, 5486, 39135, 103171, 58850, 117255, 117158, 38093, 76947, 109739, 102802, 106956, 5486, 113160, 49988, 30512, 104862, 30297, 16144, 37026, 22023, 119703, 5486, 104309, 19732, 106367, 76706, 30512, 74482, 18904, 112990, 30591, 112568, 19732, 20834, 38093, 30297, 125231, 116497, 16144, 72238, 114737, 26854, 111482, 110792, 20834, 38093, 117714, 109933, 107446, 32977, 110596, 16144, 102532, 103801, 61689, 9174, 37271, 18904, 48154, 126362, 56051, 66378, 17599, 112, 20230, 64209, 40265, 115926, 107407, 24273, 15682, 116898, 17129, 127637, 5486, 21990, 96311, 107, 106063, 96356, 16556, 107991, 100909, 113468, 125119, 31431, 30297, 30369, 125396, 30512, 113727, 74245, 39926, 64121, 38144, 72315, 1811, 106367, 76706, 60868, 125933, 69847, 2243, 118, 16995, 78699, 77181, 5486, 123737, 16144, 112073, 103826, 16144, 106367, 76706, 32977, 106608, 110238, 127145, 1811, 114715, 72661, 109834, 103868, 107407, 24273, 15682, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 1811, 128001, 128000, 51330, 122481, 77181, 47260, 44971, 29220, 47307, 106240, 111090, 57933, 91062, 103306, 13372, 126574, 13177, 102491, 102769, 46034, 10646, 109853, 5486, 112825, 110904, 26854, 114172, 102512, 71289, 67645, 16144, 113146, 71289, 125525, 102769, 46034, 29295, 126909, 26854, 104865, 5486, 110135, 114840, 25446, 72516, 102416, 107691, 18655, 117158, 17663, 104983, 16144, 112984, 23187, 120098, 104309, 30512, 126362, 127145, 9174, 102491, 102769, 46034, 15682, 47260, 44971, 29220, 47307, 106240, 111090, 57933, 91062, 103306, 17792, 116499, 126574, 25446, 16144, 16, 59739, 1811, 102616, 119869, 16144, 102769, 46034, 15682, 10336, 15, 116033, 102404, 23039, 103646, 114672, 110548, 104612, 58850, 101538, 16144, 120620, 66201, 55723, 29295, 102181, 32149, 103468, 102944, 38641, 1811, 110135, 114840, 25446, 103306, 15682, 125261, 9554, 17039, 102800, 34048, 104770, 115717, 33541, 9174, 16325, 72661, 45736, 109518, 16556, 18655, 73686, 110731, 102769, 46034, 15682, 36668, 20230, 18, 104091, 104770, 57903, 36896, 59795, 102769, 46034, 59712, 61304, 104611, 102769, 46034, 59712, 118192, 101198, 39880, 91062, 102769, 46034, 10646, 38641, 9174, 47774, 59795, 102769, 46034, 107118, 198, 59795, 16144, 114172, 102512, 109904, 61304, 104611, 103306, 102404, 23039, 110731, 102769, 46034, 16144, 100909, 38641, 1811, 45736, 109518, 16556, 18655, 73686, 110731, 104468, 5486, 104437, 83747, 95001, 112603, 16144, 126574, 105811, 111338, 101778, 113146, 16144, 102944, 16556, 121270, 102052, 9039, 103633, 110743, 105352, 109020, 102769, 46034, 32977, 9174, 47774, 61304, 104611, 102769, 46034, 107118, 198, 106444, 9554, 25197, 102832, 52414, 30512, 61304, 104611, 39926, 19967, 110071, 31938, 113, 102924, 102769, 46034, 16144, 100909, 1811, 109577, 9039, 29295, 119379, 110731, 105879, 5486, 117032, 16144, 102769, 46034, 105755, 17701, 46034, 29295, 110482, 111108, 26854, 100909, 55031, 45736, 112603, 29295, 59739, 47884, 115789, 57903, 33541, 9174, 47774, 118192, 101198, 39880, 91062, 102769, 46034, 107118, 198, 118192, 101198, 39880, 16144, 47000, 119188, 61304, 104611, 102769, 46034, 16144, 106592, 64467, 39926, 102532, 5486, 66378, 20230, 115638, 966, 8107, 117382, 16144, 102944, 15682, 104437, 83747, 95001, 112603, 29295, 126574, 19732, 116216, 61689, 9174, 66378, 20230, 18655, 73686, 29295, 76706, 102404, 33208, 103792, 112973, 13177, 59795, 102769, 46034, 10646, 38641, 1811, 114172, 102512, 112535, 104437, 83747, 95001, 112603, 29295, 45736, 47884, 5486, 105469, 116664, 114050, 71289, 112607, 48634, 30046, 32977, 43167, 62004, 100934, 100909, 55031, 45736, 109518, 115717, 126172, 16995, 19732, 116216, 61689, 1811, 90620, 15024, 5486, 59795, 86354, 95221, 20230, 118396, 84389, 126172, 16995, 105879, 122603, 112603, 29295, 47000, 119188, 117591, 20230, 105525, 76947, 114732, 123017, 46034, 38641, 57980, 9174, 59795, 102769, 46034, 16144, 121374, 15682, 17297, 29295, 31431, 59739, 59739, 101182, 19732, 116216, 61689, 29295, 108048, 72661, 45736, 112603, 16556, 18655, 73686, 116216, 61689, 9174, 66378, 20230, 45736, 112603, 16556, 18655, 73686, 110731, 112973, 5486, 106581, 27384, 125981, 113146, 16144, 102769, 46034, 1811, 106581, 27384, 125981, 113146, 16144, 59795, 102769, 46034, 15682, 102404, 23039, 109577, 9039, 37026, 33014, 29295, 83747, 103470, 5486, 124059, 32149, 67016, 108618, 107462, 107515, 124192, 39177, 59795, 77181, 102769, 46034, 110226, 43167, 29295, 124260, 116216, 108086, 5486, 102769, 112909, 29504, 48915, 102416, 115201, 20834, 54926, 115789, 103082, 104435, 16144, 38641, 1811, 102769, 112909, 110794, 121406, 102052, 125559, 55031, 124284, 120523, 30046, 29295, 37026, 29504, 102416, 110794, 112454, 30369, 67016, 57903, 105823, 104127, 56051, 9174, 40265, 125344, 102433, 15682, 102769, 46034, 110226, 43167, 29295, 52884, 103202, 1811, 102433, 17792, 120523, 30046, 29295, 5486, 9039, 43240, 119064, 59795, 102769, 112909, 110794, 112454, 106358, 103846, 115515, 32977, 102433, 117409, 20230, 95001, 112603, 101182, 59795, 102769, 46034, 29295, 102321, 25359, 103792, 16144, 38641, 9174, 80539, 60358, 8107, 5486, 37026, 125525, 102769, 112909, 107691, 16995, 114941, 102131, 102677, 59795, 117409, 16144, 102769, 46034, 47260, 44971, 29220, 102514, 16144, 91875, 50834, 115991, 33541, 1811, 102769, 112909, 47260, 44971, 29220, 47307, 106240, 111090, 57933, 91062, 103306, 43167, 109315, 105469, 116664, 114050, 71289, 110886, 46729, 29295, 107991, 103846, 5486, 59795, 102769, 46034, 16144, 18655, 73686, 29295, 76706, 102404, 33208, 1811, 121374, 45736, 105522, 108, 15024, 122603, 16995, 102944, 102052, 24, 11, 931, 110743, 71689, 16144, 112603, 29295, 59739, 102334, 27452, 32977, 9174, 104437, 83747, 95001, 112603, 16144, 45736, 30813, 19732, 117903, 16144, 76706, 102404, 33208, 112212, 5486, 59795, 102769, 112909, 18655, 73686, 54926, 105110, 37271, 29295, 109933, 107446, 104856, 76947, 61689, 9174, 110382, 16556, 5486, 59795, 102769, 46034, 16144, 104817, 18476, 71289, 106691, 109904, 102769, 46034, 109853, 126362, 78434, 1811, 105525, 104533, 50834, 71289, 107691, 30297, 110018, 16144, 121846, 116446, 72315, 9174, 47774, 27929, 32977, 27929, 32977, 104817, 18476, 107118, 95532, 6393, 24, 8107, 102404, 23039, 16144, 102769, 46034, 55031, 122382, 109115, 102944, 1811, 112425, 16556, 24775, 102769, 124195, 108086, 5486, 104817, 18476, 30512, 64121, 104984, 33334, 33334, 57980, 27929, 67645, 16144, 113146, 16144, 102769, 46034, 32149, 17620, 117295, 101200, 117084, 61689, 1811, 112825, 110904, 20230, 78244, 116285, 106901, 16073, 33710, 17620, 76622, 16144, 30832, 104371, 38641, 1811, 102769, 46034, 16144, 18655, 73686, 126101, 30832, 117657, 13177, 17161, 59712, 107804, 59712, 51, 22, 66383, 16995, 100472, 88435, 32218, 29295, 104817, 18476, 20230, 30591, 115926, 33541, 105879, 5486, 105525, 31431, 106956, 9458, 107691, 102334, 16995, 110018, 16144, 30832, 104371, 115717, 33541, 9174, 47774, 104817, 18476, 15682, 116414, 16556, 17620, 117295, 95532, 104817, 18476, 15682, 102769, 46034, 37026, 33014, 104088, 104533, 17620, 107277, 33541, 1811, 102769, 46034, 16144, 21405, 28190, 20230, 13177, 107859, 1954, 13, 20, 12, 16, 117503, 104466, 31809, 30813, 26854, 88435, 16556, 104371, 114601, 110731, 112973, 104817, 18476, 38641, 9174, 104817, 18476, 16144, 91774, 24273, 119627, 5486, 27452, 116285, 13177, 107859, 1954, 13, 20, 12, 16, 10646, 105110, 198, 102677, 115552, 115717, 33541, 9174, 104817, 18476, 48154, 110792, 66378, 17599, 112, 71289, 106691, 109904, 102769, 46034, 15682, 95532, 102208, 104817, 18476, 16144, 102769, 112909, 5486, 66378, 17599, 112, 71289, 106691, 109904, 102769, 46034, 19732, 58426, 107691, 18655, 50021, 75267, 109853, 48154, 126362, 78434, 9174, 11144, 104817, 18476, 5232, 107859, 112479, 104817, 18476, 13177, 107859, 10646, 15682, 61304, 104611, 102769, 46034, 102677, 115552, 38641, 1811, 6393, 24, 8107, 21909, 5162, 22, 116358, 122756, 102404, 23039, 84389, 79721, 9174, 91, 112425, 198, 91, 6393, 24, 8107, 55031, 5162, 22, 8107, 198, 91, 66378, 17599, 112, 198, 91, 61304, 104611, 102769, 46034, 198, 91, 102404, 23039, 103646, 104091, 104770, 198, 91, 17711, 104091, 104770, 198, 91, 106691, 109904, 102769, 46034, 198, 91, 108686, 108655, 119458, 107875, 55038, 117813, 103991, 10110, 107859, 6281, 23954, 91, 107691, 18655, 50021, 75267, 198, 91, 22, 11, 931, 35757, 21909, 198, 31809, 25287, 57207, 84477, 105110, 1041, 110743, 71689, 198, 11144, 104817, 18476, 5232, 66378, 112479, 104817, 18476, 13177, 66378, 10646, 15682, 119389, 102769, 46034, 38641, 1811, 61304, 104611, 102769, 46034, 110792, 121953, 15682, 102404, 23039, 103646, 50834, 42891, 126929, 1811, 119389, 102769, 46034, 15682, 59795, 16144, 104284, 60632, 30512, 114166, 30297, 115552, 16556, 102404, 23039, 84389, 79721, 9174, 91, 6280, 16, 8107, 55031, 5162, 21, 8107, 198, 91, 119389, 102769, 46034, 198, 91, 20911, 104091, 198, 91, 17044, 94, 110588, 114971, 10110, 66378, 5547, 23954, 91, 868, 104091, 21441, 225, 16995, 18, 110743, 21909, 198, 57207, 84477, 972, 110743, 21909, 198, 11144, 104817, 18476, 5232, 17161, 112479, 104817, 18476, 13177, 17161, 10646, 29295, 59739, 47884, 102944, 15682, 5486, 106581, 125981, 113146, 16144, 102769, 46034, 38641, 113637, 113146, 20230, 13177, 107859, 59712, 66378, 117503, 102769, 46034, 15682, 25766, 225, 82533, 84389, 79721, 118855, 36896, 17161, 10646, 29295, 59739, 47884, 102769, 46034, 32977, 124059, 32149, 18, 116358, 122756, 67016, 102404, 23039, 84389, 126386, 103846, 5486, 104437, 83747, 95001, 112603, 29295, 45736, 115737, 76947, 61689, 9174, 91, 5162, 22, 8107, 55031, 4468, 15, 8107, 198, 91, 105811, 111338, 101778, 113146, 16144, 102944, 198, 91, 37087, 1490, 104091, 104770, 198, 91, 105811, 36668, 105350, 16144, 110770, 64467, 20379, 10110, 17161, 605, 23954, 91, 1272, 110743, 21909, 1135, 110743, 108680, 198, 11144, 104817, 18476, 5232, 107804, 112479, 13177, 17161, 66383, 24775, 103283, 54926, 113009, 122382, 109115, 104817, 18476, 1811, 102321, 31640, 47653, 108740, 102769, 46034, 55031, 102404, 87217, 103646, 102944, 38641, 66327, 17161, 66383, 121953, 5486, 118969, 75694, 17129, 26854, 111629, 120910, 107407, 105908, 66378, 17599, 112, 38641, 9174, 91, 4468, 15, 8107, 105755, 198, 91, 121995, 120910, 29295, 118969, 75694, 17129, 198, 91, 2721, 104091, 104770, 198, 91, 90962, 90962, 80805, 108506, 17, 33671, 10110, 107804, 975, 23954, 91, 868, 11, 931, 35757, 108680, 198, 11144, 104817, 18476, 5232, 41, 112479, 13177, 107859, 66383, 24775, 103283, 54926, 113009, 17039, 106624, 19967, 109115, 104817, 18476, 1811, 102769, 46034, 16144, 104091, 104770, 15682, 61304, 104611, 102769, 46034, 115717, 33541, 9174, 91, 4468, 19, 8107, 23897, 104989, 198, 91, 4468, 19, 8107, 23897, 104989, 16144, 61304, 104611, 102769, 46034, 198, 91, 7058, 91, 111717, 108396, 112345, 10110, 41, 914, 23954, 91, 1627, 11, 931, 35757, 21909, 843, 11, 931, 35757, 198, 11144, 104817, 18476, 5232, 51, 112479, 13177, 66378, 66383, 24775, 103283, 54926, 113009, 17039, 106624, 19967, 109115, 104817, 18476, 1811, 102769, 46034, 16144, 104091, 104770, 15682, 119389, 102769, 46034, 115717, 33541, 1811, 106691, 109904, 13177, 51, 2790, 117503, 8107, 114896, 102769, 46034, 15682, 59795, 16556, 85707, 107436, 16144, 8107, 114896, 102769, 46034, 103306, 19361, 13372, 38641, 9174, 91, 4468, 19, 8107, 23897, 104989, 16144, 119389, 102769, 46034, 198, 91, 8107, 114896, 102769, 46034, 220, 102782, 10110, 51, 2790, 23954, 91, 508, 110743, 21909, 198, 59795, 102769, 112909, 105525, 104533, 50834, 20230, 112160, 87217, 95221, 30512, 122382, 106956, 104468, 95001, 112603, 30512, 53283, 121140, 51385, 112603, 16556, 105525, 76947, 114732, 100909, 1811, 102769, 46034, 16144, 31091, 71289, 104817, 18476, 15682, 102769, 46034, 21405, 28190, 112649, 32149, 106824, 61689, 105879, 5486, 114140, 103801, 109954, 9174, 46034, 110794, 16144, 102769, 112909, 105525, 30369, 102052, 27384, 17129, 111201, 17, 118821, 46034, 38574, 115991, 33541, 9174, 124773, 123437, 67075, 90962, 105048, 104272, 15682, 102159, 114754, 46034, 117355, 20230, 105525, 107691, 103082, 104533, 30591, 76947, 5486, 110382, 95598, 9039, 8107, 124500, 121140, 76706, 102404, 26854, 18655, 73686, 29295, 116216, 61689, 1811, 52591, 37823, 68759, 39880, 115507, 32977, 120955, 15024, 5486, 33541, 33541, 20230, 105557, 71289, 32149, 117084, 23039, 47884, 15120, 24273, 16556, 5486, 105525, 112586, 118158, 102944, 29295, 50021, 75267, 126036, 51385, 112603, 16556, 107691, 78183, 106824, 114604, 31431, 5486, 95001, 112603, 16144, 43568, 16995 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 198, 21990, 96311, 107, 106063, 96356, 16144, 107803, 5486, 96356, 32943, 103195, 122013, 125001, 123733, 104533, 127091, 105693, 104983, 20230, 117943, 104028, 114754, 16995, 123733, 31431, 33541, 1811, 122013, 71289, 127857, 116749, 16144, 106759, 7688, 248, 104309, 19732, 89046, 117139, 30512, 108167, 40862, 30297, 16325, 127303, 104984, 109606, 100604, 119627, 5486, 110924, 103296, 118430, 118095, 20230, 89046, 117139, 15024, 40862, 30297, 16325, 111769, 123253, 1811, 115364, 96356, 20230, 127091, 40862, 100472, 104983, 15682, 101182, 113314, 16144, 112854, 125636, 29295, 109215, 115717, 33541, 9174, 126892, 37271, 15682, 103424, 47884, 111243, 45163, 37507, 59614, 101860, 123462, 106063, 99750, 20230, 51043, 249, 17129, 104028, 198, 21990, 96311, 107, 106063, 96356, 16556, 107991, 6447, 19732, 104662, 109013, 116497, 119627, 5486, 105104, 114267, 112661, 122756, 43568, 34171, 20230, 15973, 224, 21105, 243, 30512, 112391, 30369, 105908, 101182, 123253, 1811, 105994, 102052, 99695, 67075, 29295, 107991, 55031, 27384, 121313, 6447, 119150, 17792, 32977, 127181, 116497, 38641, 1811, 119627, 99695, 67075, 15682, 123462, 106063, 99750, 30512, 23706, 240, 39926, 15682, 120700, 33541, 29295, 117119, 32149, 105693, 104983, 20230, 101083, 87177, 30512, 39926, 124089, 113334, 77181, 124897, 115397, 21990, 106063, 96356, 16556, 107991, 102677, 109335, 5486, 106222, 9554, 105352, 113116, 9554, 105352, 5486, 53900, 104654, 28190, 72661, 123462, 106063, 30512, 113420, 58942, 123207, 105110, 100604, 9080, 29295, 30250, 227, 32149, 33121, 103856, 32149, 33121, 109749, 102677, 106592, 112854, 125636, 54926, 109215, 115991, 33541, 9174, 11144, 123011, 62004, 112479, 15120, 21990, 106063, 96356, 115717, 120550, 17792, 102052, 66378, 17599, 112, 115991, 33541, 124845, 123737, 15682, 5486, 111482, 20230, 57106, 115694, 126326, 113115, 54926, 107507, 91062, 37823, 101198, 67075, 30512, 112391, 100604, 105879, 36896, 51330, 110674, 106063, 96356, 72661, 126521, 107188, 66383, 51385, 87844, 20230, 104662, 107436, 114732, 125396, 29295, 45736, 117201, 109954, 9174, 117876, 29295, 105465, 102800, 5486, 39135, 103171, 58850, 117255, 117158, 38093, 76947, 109739, 102802, 106956, 5486, 113160, 49988, 30512, 104862, 30297, 16144, 37026, 22023, 119703, 5486, 104309, 19732, 106367, 76706, 30512, 74482, 18904, 112990, 30591, 112568, 19732, 20834, 38093, 30297, 125231, 116497, 16144, 72238, 114737, 26854, 111482, 110792, 20834, 38093, 117714, 109933, 107446, 32977, 110596, 16144, 102532, 103801, 61689, 9174, 37271, 18904, 48154, 126362, 56051, 66378, 17599, 112, 20230, 64209, 40265, 115926, 107407, 24273, 15682, 116898, 17129, 127637, 5486, 21990, 96311, 107, 106063, 96356, 16556, 107991, 100909, 113468, 125119, 31431, 30297, 30369, 125396, 30512, 113727, 74245, 39926, 64121, 38144, 72315, 1811, 106367, 76706, 60868, 125933, 69847, 2243, 118, 16995, 78699, 77181, 5486, 123737, 16144, 112073, 103826, 16144, 106367, 76706, 32977, 106608, 110238, 127145, 1811, 114715, 72661, 109834, 103868, 107407, 24273, 15682, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 1811, 128001, 128000, 51330, 122481, 77181, 47260, 44971, 29220, 47307, 106240, 111090, 57933, 91062, 103306, 13372, 126574, 13177, 102491, 102769, 46034, 10646, 109853, 5486, 112825, 110904, 26854, 114172, 102512, 71289, 67645, 16144, 113146, 71289, 125525, 102769, 46034, 29295, 126909, 26854, 104865, 5486, 110135, 114840, 25446, 72516, 102416, 107691, 18655, 117158, 17663, 104983, 16144, 112984, 23187, 120098, 104309, 30512, 126362, 127145, 9174, 102491, 102769, 46034, 15682, 47260, 44971, 29220, 47307, 106240, 111090, 57933, 91062, 103306, 17792, 116499, 126574, 25446, 16144, 16, 59739, 1811, 102616, 119869, 16144, 102769, 46034, 15682, 10336, 15, 116033, 102404, 23039, 103646, 114672, 110548, 104612, 58850, 101538, 16144, 120620, 66201, 55723, 29295, 102181, 32149, 103468, 102944, 38641, 1811, 110135, 114840, 25446, 103306, 15682, 125261, 9554, 17039, 102800, 34048, 104770, 115717, 33541, 9174, 16325, 72661, 45736, 109518, 16556, 18655, 73686, 110731, 102769, 46034, 15682, 36668, 20230, 18, 104091, 104770, 57903, 36896, 59795, 102769, 46034, 59712, 61304, 104611, 102769, 46034, 59712, 118192, 101198, 39880, 91062, 102769, 46034, 10646, 38641, 9174, 47774, 59795, 102769, 46034, 107118, 198, 59795, 16144, 114172, 102512, 109904, 61304, 104611, 103306, 102404, 23039, 110731, 102769, 46034, 16144, 100909, 38641, 1811, 45736, 109518, 16556, 18655, 73686, 110731, 104468, 5486, 104437, 83747, 95001, 112603, 16144, 126574, 105811, 111338, 101778, 113146, 16144, 102944, 16556, 121270, 102052, 9039, 103633, 110743, 105352, 109020, 102769, 46034, 32977, 9174, 47774, 61304, 104611, 102769, 46034, 107118, 198, 106444, 9554, 25197, 102832, 52414, 30512, 61304, 104611, 39926, 19967, 110071, 31938, 113, 102924, 102769, 46034, 16144, 100909, 1811, 109577, 9039, 29295, 119379, 110731, 105879, 5486, 117032, 16144, 102769, 46034, 105755, 17701, 46034, 29295, 110482, 111108, 26854, 100909, 55031, 45736, 112603, 29295, 59739, 47884, 115789, 57903, 33541, 9174, 47774, 118192, 101198, 39880, 91062, 102769, 46034, 107118, 198, 118192, 101198, 39880, 16144, 47000, 119188, 61304, 104611, 102769, 46034, 16144, 106592, 64467, 39926, 102532, 5486, 66378, 20230, 115638, 966, 8107, 117382, 16144, 102944, 15682, 104437, 83747, 95001, 112603, 29295, 126574, 19732, 116216, 61689, 9174, 66378, 20230, 18655, 73686, 29295, 76706, 102404, 33208, 103792, 112973, 13177, 59795, 102769, 46034, 10646, 38641, 1811, 114172, 102512, 112535, 104437, 83747, 95001, 112603, 29295, 45736, 47884, 5486, 105469, 116664, 114050, 71289, 112607, 48634, 30046, 32977, 43167, 62004, 100934, 100909, 55031, 45736, 109518, 115717, 126172, 16995, 19732, 116216, 61689, 1811, 90620, 15024, 5486, 59795, 86354, 95221, 20230, 118396, 84389, 126172, 16995, 105879, 122603, 112603, 29295, 47000, 119188, 117591, 20230, 105525, 76947, 114732, 123017, 46034, 38641, 57980, 9174, 59795, 102769, 46034, 16144, 121374, 15682, 17297, 29295, 31431, 59739, 59739, 101182, 19732, 116216, 61689, 29295, 108048, 72661, 45736, 112603, 16556, 18655, 73686, 116216, 61689, 9174, 66378, 20230, 45736, 112603, 16556, 18655, 73686, 110731, 112973, 5486, 106581, 27384, 125981, 113146, 16144, 102769, 46034, 1811, 106581, 27384, 125981, 113146, 16144, 59795, 102769, 46034, 15682, 102404, 23039, 109577, 9039, 37026, 33014, 29295, 83747, 103470, 5486, 124059, 32149, 67016, 108618, 107462, 107515, 124192, 39177, 59795, 77181, 102769, 46034, 110226, 43167, 29295, 124260, 116216, 108086, 5486, 102769, 112909, 29504, 48915, 102416, 115201, 20834, 54926, 115789, 103082, 104435, 16144, 38641, 1811, 102769, 112909, 110794, 121406, 102052, 125559, 55031, 124284, 120523, 30046, 29295, 37026, 29504, 102416, 110794, 112454, 30369, 67016, 57903, 105823, 104127, 56051, 9174, 40265, 125344, 102433, 15682, 102769, 46034, 110226, 43167, 29295, 52884, 103202, 1811, 102433, 17792, 120523, 30046, 29295, 5486, 9039, 43240, 119064, 59795, 102769, 112909, 110794, 112454, 106358, 103846, 115515, 32977, 102433, 117409, 20230, 95001, 112603, 101182, 59795, 102769, 46034, 29295, 102321, 25359, 103792, 16144, 38641, 9174, 80539, 60358, 8107, 5486, 37026, 125525, 102769, 112909, 107691, 16995, 114941, 102131, 102677, 59795, 117409, 16144, 102769, 46034, 47260, 44971, 29220, 102514, 16144, 91875, 50834, 115991, 33541, 1811, 102769, 112909, 47260, 44971, 29220, 47307, 106240, 111090, 57933, 91062, 103306, 43167, 109315, 105469, 116664, 114050, 71289, 110886, 46729, 29295, 107991, 103846, 5486, 59795, 102769, 46034, 16144, 18655, 73686, 29295, 76706, 102404, 33208, 1811, 121374, 45736, 105522, 108, 15024, 122603, 16995, 102944, 102052, 24, 11, 931, 110743, 71689, 16144, 112603, 29295, 59739, 102334, 27452, 32977, 9174, 104437, 83747, 95001, 112603, 16144, 45736, 30813, 19732, 117903, 16144, 76706, 102404, 33208, 112212, 5486, 59795, 102769, 112909, 18655, 73686, 54926, 105110, 37271, 29295, 109933, 107446, 104856, 76947, 61689, 9174, 110382, 16556, 5486, 59795, 102769, 46034, 16144, 104817, 18476, 71289, 106691, 109904, 102769, 46034, 109853, 126362, 78434, 1811, 105525, 104533, 50834, 71289, 107691, 30297, 110018, 16144, 121846, 116446, 72315, 9174, 47774, 27929, 32977, 27929, 32977, 104817, 18476, 107118, 95532, 6393, 24, 8107, 102404, 23039, 16144, 102769, 46034, 55031, 122382, 109115, 102944, 1811, 112425, 16556, 24775, 102769, 124195, 108086, 5486, 104817, 18476, 30512, 64121, 104984, 33334, 33334, 57980, 27929, 67645, 16144, 113146, 16144, 102769, 46034, 32149, 17620, 117295, 101200, 117084, 61689, 1811, 112825, 110904, 20230, 78244, 116285, 106901, 16073, 33710, 17620, 76622, 16144, 30832, 104371, 38641, 1811, 102769, 46034, 16144, 18655, 73686, 126101, 30832, 117657, 13177, 17161, 59712, 107804, 59712, 51, 22, 66383, 16995, 100472, 88435, 32218, 29295, 104817, 18476, 20230, 30591, 115926, 33541, 105879, 5486, 105525, 31431, 106956, 9458, 107691, 102334, 16995, 110018, 16144, 30832, 104371, 115717, 33541, 9174, 47774, 104817, 18476, 15682, 116414, 16556, 17620, 117295, 95532, 104817, 18476, 15682, 102769, 46034, 37026, 33014, 104088, 104533, 17620, 107277, 33541, 1811, 102769, 46034, 16144, 21405, 28190, 20230, 13177, 107859, 1954, 13, 20, 12, 16, 117503, 104466, 31809, 30813, 26854, 88435, 16556, 104371, 114601, 110731, 112973, 104817, 18476, 38641, 9174, 104817, 18476, 16144, 91774, 24273, 119627, 5486, 27452, 116285, 13177, 107859, 1954, 13, 20, 12, 16, 10646, 105110, 198, 102677, 115552, 115717, 33541, 9174, 104817, 18476, 48154, 110792, 66378, 17599, 112, 71289, 106691, 109904, 102769, 46034, 15682, 95532, 102208, 104817, 18476, 16144, 102769, 112909, 5486, 66378, 17599, 112, 71289, 106691, 109904, 102769, 46034, 19732, 58426, 107691, 18655, 50021, 75267, 109853, 48154, 126362, 78434, 9174, 11144, 104817, 18476, 5232, 107859, 112479, 104817, 18476, 13177, 107859, 10646, 15682, 61304, 104611, 102769, 46034, 102677, 115552, 38641, 1811, 6393, 24, 8107, 21909, 5162, 22, 116358, 122756, 102404, 23039, 84389, 79721, 9174, 91, 112425, 198, 91, 6393, 24, 8107, 55031, 5162, 22, 8107, 198, 91, 66378, 17599, 112, 198, 91, 61304, 104611, 102769, 46034, 198, 91, 102404, 23039, 103646, 104091, 104770, 198, 91, 17711, 104091, 104770, 198, 91, 106691, 109904, 102769, 46034, 198, 91, 108686, 108655, 119458, 107875, 55038, 117813, 103991, 10110, 107859, 6281, 23954, 91, 107691, 18655, 50021, 75267, 198, 91, 22, 11, 931, 35757, 21909, 198, 31809, 25287, 57207, 84477, 105110, 1041, 110743, 71689, 198, 11144, 104817, 18476, 5232, 66378, 112479, 104817, 18476, 13177, 66378, 10646, 15682, 119389, 102769, 46034, 38641, 1811, 61304, 104611, 102769, 46034, 110792, 121953, 15682, 102404, 23039, 103646, 50834, 42891, 126929, 1811, 119389, 102769, 46034, 15682, 59795, 16144, 104284, 60632, 30512, 114166, 30297, 115552, 16556, 102404, 23039, 84389, 79721, 9174, 91, 6280, 16, 8107, 55031, 5162, 21, 8107, 198, 91, 119389, 102769, 46034, 198, 91, 20911, 104091, 198, 91, 17044, 94, 110588, 114971, 10110, 66378, 5547, 23954, 91, 868, 104091, 21441, 225, 16995, 18, 110743, 21909, 198, 57207, 84477, 972, 110743, 21909, 198, 11144, 104817, 18476, 5232, 17161, 112479, 104817, 18476, 13177, 17161, 10646, 29295, 59739, 47884, 102944, 15682, 5486, 106581, 125981, 113146, 16144, 102769, 46034, 38641, 113637, 113146, 20230, 13177, 107859, 59712, 66378, 117503, 102769, 46034, 15682, 25766, 225, 82533, 84389, 79721, 118855, 36896, 17161, 10646, 29295, 59739, 47884, 102769, 46034, 32977, 124059, 32149, 18, 116358, 122756, 67016, 102404, 23039, 84389, 126386, 103846, 5486, 104437, 83747, 95001, 112603, 29295, 45736, 115737, 76947, 61689, 9174, 91, 5162, 22, 8107, 55031, 4468, 15, 8107, 198, 91, 105811, 111338, 101778, 113146, 16144, 102944, 198, 91, 37087, 1490, 104091, 104770, 198, 91, 105811, 36668, 105350, 16144, 110770, 64467, 20379, 10110, 17161, 605, 23954, 91, 1272, 110743, 21909, 1135, 110743, 108680, 198, 11144, 104817, 18476, 5232, 107804, 112479, 13177, 17161, 66383, 24775, 103283, 54926, 113009, 122382, 109115, 104817, 18476, 1811, 102321, 31640, 47653, 108740, 102769, 46034, 55031, 102404, 87217, 103646, 102944, 38641, 66327, 17161, 66383, 121953, 5486, 118969, 75694, 17129, 26854, 111629, 120910, 107407, 105908, 66378, 17599, 112, 38641, 9174, 91, 4468, 15, 8107, 105755, 198, 91, 121995, 120910, 29295, 118969, 75694, 17129, 198, 91, 2721, 104091, 104770, 198, 91, 90962, 90962, 80805, 108506, 17, 33671, 10110, 107804, 975, 23954, 91, 868, 11, 931, 35757, 108680, 198, 11144, 104817, 18476, 5232, 41, 112479, 13177, 107859, 66383, 24775, 103283, 54926, 113009, 17039, 106624, 19967, 109115, 104817, 18476, 1811, 102769, 46034, 16144, 104091, 104770, 15682, 61304, 104611, 102769, 46034, 115717, 33541, 9174, 91, 4468, 19, 8107, 23897, 104989, 198, 91, 4468, 19, 8107, 23897, 104989, 16144, 61304, 104611, 102769, 46034, 198, 91, 7058, 91, 111717, 108396, 112345, 10110, 41, 914, 23954, 91, 1627, 11, 931, 35757, 21909, 843, 11, 931, 35757, 198, 11144, 104817, 18476, 5232, 51, 112479, 13177, 66378, 66383, 24775, 103283, 54926, 113009, 17039, 106624, 19967, 109115, 104817, 18476, 1811, 102769, 46034, 16144, 104091, 104770, 15682, 119389, 102769, 46034, 115717, 33541, 1811, 106691, 109904, 13177, 51, 2790, 117503, 8107, 114896, 102769, 46034, 15682, 59795, 16556, 85707, 107436, 16144, 8107, 114896, 102769, 46034, 103306, 19361, 13372, 38641, 9174, 91, 4468, 19, 8107, 23897, 104989, 16144, 119389, 102769, 46034, 198, 91, 8107, 114896, 102769, 46034, 220, 102782, 10110, 51, 2790, 23954, 91, 508, 110743, 21909, 198, 59795, 102769, 112909, 105525, 104533, 50834, 20230, 112160, 87217, 95221, 30512, 122382, 106956, 104468, 95001, 112603, 30512, 53283, 121140, 51385, 112603, 16556, 105525, 76947, 114732, 100909, 1811, 102769, 46034, 16144, 31091, 71289, 104817, 18476, 15682, 102769, 46034, 21405, 28190, 112649, 32149, 106824, 61689, 105879, 5486, 114140, 103801, 109954, 9174, 46034, 110794, 16144, 102769, 112909, 105525, 30369, 102052, 27384, 17129, 111201, 17, 118821, 46034, 38574, 115991, 33541, 9174, 124773, 123437, 67075, 90962, 105048, 104272, 15682, 102159, 114754, 46034, 117355, 20230, 105525, 107691, 103082, 104533, 30591, 76947, 5486, 110382, 95598, 9039, 8107, 124500, 121140, 76706, 102404, 26854, 18655, 73686, 29295, 116216, 61689, 1811, 52591, 37823, 68759, 39880, 115507, 32977, 120955, 15024, 5486, 33541, 33541, 20230, 105557, 71289, 32149, 117084, 23039, 47884, 15120, 24273, 16556, 5486, 105525, 112586, 118158, 102944, 29295, 50021, 75267, 126036, 51385, 112603, 16556, 107691, 78183, 106824, 114604, 31431, 5486, 95001, 112603, 16144, 43568, 16995 ]
[ 102944, 30512, 45736, 112603, 16556, 107691, 76947, 114604, 31431, 54926, 68408, 39850, 37823, 67075, 115991, 33541, 9174, 72516, 20230, 109467, 102780, 30512, 103768, 102189, 31431, 112984, 23187, 120837, 33503, 100472, 111842, 46034, 56965, 29295, 32149, 117295, 32149, 110241, 33121, 107515, 29295, 5486, 114363, 103722, 16144, 101275, 30046, 105110, 105184, 103350, 38641, 119520, 5486, 110135, 114840, 25446, 30512, 121247, 103836, 107691, 18655, 72516, 105110, 116414, 72661, 126521, 102677, 113334, 77181, 124897, 1811, 59795, 102769, 112909, 50834, 43514, 127842, 124140, 23187, 39926, 124089, 124140, 23187, 101559, 16144, 107991, 107691, 18655, 101275, 30046, 30512, 102647, 102802, 17129, 109954, 9174, 59795, 102769, 112909, 107691, 16995, 18655, 103836, 107691, 18655, 101275, 30046, 15682, 5486, 67645, 16144, 105494, 30512, 64121, 38144, 112984, 23187, 109518, 30512, 104662, 62004, 100934, 104865, 104873, 115694, 64121, 79721, 9174, 32977, 107173, 110792, 95001, 112603, 105352, 105755, 33541, 29295, 13177, 109657, 102333, 123, 66383, 57980, 81219, 104028, 59795, 102769, 46034, 15682, 5486, 16, 109577, 105110, 605, 110743, 108680, 5486, 16, 57207, 84477, 10110, 1490, 109577, 7705, 105110, 16, 11, 931, 110743, 16556, 18655, 73686, 107001, 115789, 57903, 33541, 9174, 110904, 116254, 26854, 109577, 9039, 17620, 29295, 21601, 70203, 107001, 16144, 126194, 13177, 21441, 225, 103836, 66383, 95604, 95001, 112603, 29295, 57326, 112718, 107001, 117840, 9174, 39442, 38129, 25446, 19732, 38129, 25446, 77181, 5486, 107691, 18655, 109518, 20230, 119448, 47884, 104364, 29295, 59739, 50834, 33541, 1811, 102944, 113468, 15682, 58426, 104364, 15682, 605, 98406, 108176, 115789, 9174, 32977, 43514, 85791, 25827, 62903, 108748, 26854, 24273, 29295, 107691, 18655, 109518, 15682, 115442, 31431, 33541, 29295, 5486, 104437, 83747, 95001, 112603, 29295, 126574, 102769, 46034, 16144, 126513, 62903, 78525, 29295, 30591, 114598, 114392, 26854, 121374, 16556, 107691, 16995, 18655, 76947, 124089, 115789, 57903, 33541, 9174, 45736, 109518, 16556, 18655, 73686, 110731, 103846, 5486, 49691, 121, 53953, 16144, 102769, 46034, 32977, 43240, 47884, 20834, 18904, 76947, 61689, 105879, 5486, 50834, 43514, 127842, 22656, 53953, 104088, 113487, 105784, 124140, 23187, 101559, 20230, 112984, 23187, 120837, 33503, 30297, 100909, 33334, 125683, 62004, 78434, 1811, 128001, 128000, 567, 87109, 117859, 26854, 91875, 50834, 5486, 91774, 105150, 31431, 33541, 121968, 109373, 71493, 127194, 20230, 17039, 123141, 198, 103181, 109373, 71493, 127194, 16144, 106482, 66201, 30512, 115681, 16556, 106596, 15024, 5486, 76622, 25827, 32149, 71289, 16937, 117859, 26854, 123120, 5486, 101544, 82973, 54322, 22324, 103646, 16937, 117859, 53953, 104309, 104088, 17620, 107441, 108901, 40053, 30512, 53283, 117063, 30369, 123141, 16144, 122401, 30512, 110745, 108469, 23530, 80195, 27384, 16144, 116750, 21990, 109596, 116891, 10110, 115240, 117120, 22649, 7705, 120577, 102473, 124180, 29295, 103130, 62004, 100934, 1811, 19653, 126693, 104970, 104874, 108695, 16144, 110423, 103984, 102351, 16144, 109972, 106529, 117355, 114485, 71289, 127688, 126128, 82533, 107294, 105722, 104533, 125494, 110731, 9174, 116750, 21990, 116891, 103732, 104533, 5486, 103181, 109373, 71493, 127194, 19732, 112361, 116245, 20230, 5486, 124349, 30512, 108867, 23187, 54926, 113714, 118718, 30512, 102332, 22324, 1811, 123141, 50338, 98871, 16556, 5486, 118726, 71289, 102832, 109482, 104309, 85707, 62004, 55031, 101182, 53953, 15682, 13177, 124858, 66383, 39926, 21418, 48915, 15024, 5486, 17792, 71289, 53953, 30512, 13177, 103359, 47523, 53953, 66383, 39926, 82912, 116690, 71289, 119448, 30813, 30512, 80195, 33014, 112535, 108867, 23187, 54926, 9174, 103359, 47523, 53953, 16144, 91875, 50834, 30512, 111134, 52591, 33208, 39926, 106596, 54926, 118733, 13177, 16937, 117859, 26854, 91875, 50834, 123410, 17792, 59712, 22324, 32149, 103468, 110674, 91875, 126660, 16937, 117859, 53953, 10646, 123160, 108901, 40053, 104088, 126268, 121406, 1811, 110423, 103984, 102351, 15682, 109242, 9039, 16144, 103181, 109373, 71493, 127194, 16144, 106482, 66201, 114447, 103846, 5486, 107079, 33014, 9554, 5486, 113116, 109904, 109972, 106529, 29295, 119448, 47884, 36896, 16995, 75694, 102677, 112661, 56965, 10646, 104088, 110074, 17663, 115789, 83747, 103470, 100604, 102677, 9174, 102473, 124180, 15682, 37271, 74482, 36896, 20713, 114754, 112361, 116245, 30512, 30297, 103950, 85791, 54926, 59712, 36149, 112, 31431, 40862, 16995, 59712, 53953, 29295, 101544, 82973, 54322, 22324, 110731, 10646, 104309, 102321, 103350, 20230, 125119, 31431, 126172, 16995, 75267, 28190, 30512, 103350, 102446, 39926, 125152, 58322, 1811, 123141, 16556, 50338, 98871, 39926, 119526, 102832, 61398, 103306, 105623, 226, 108882, 15024, 5486, 42016, 103826, 16144, 91875, 50834, 122291, 107803, 20230, 13177, 108901, 40053, 66383, 122225, 108608, 104466, 54926, 9174, 116750, 21990, 116891, 15682, 13177, 103449, 71289, 35894, 103354, 113245, 110423, 103984, 5486, 29741, 17297, 101467, 16325, 16144, 116581, 109421, 16144, 91774, 106154, 112586, 76706, 11883, 126693, 5486, 51385, 64209, 39926, 127331, 117063, 30369, 101200, 108176, 66383, 87177, 103792, 1811, 128001, 128000, 567, 220, 38144, 25827, 102802, 25827, 103605, 16144, 104603, 37823, 114741, 101365, 87177, 122692, 68171, 37507, 107118, 11571, 116254, 162, 66391, 16144, 58850, 101365, 39880, 71634, 102803, 39880, 29295, 78519, 35894, 20230, 108618, 56051, 25333, 19732, 37656, 104577, 30512, 47523, 17599, 112, 54926, 78519, 103605, 16144, 83799, 198, 105310, 45893, 114093, 78519, 103605, 112028, 59739, 103306, 82912, 109669, 76622, 125398, 104966, 14191, 97, 103605, 10110, 38144, 25827, 102802, 25827, 75694, 119735, 5486, 105310, 45893, 114093, 106496, 122692, 104966, 14191, 97, 106496, 10110, 38144, 25827, 102802, 25827, 50834, 116186, 30297, 120732, 108761, 103438, 107173, 102971, 102802, 126268, 110071, 100909, 113468, 111476, 110446, 64803, 107792, 95221, 16144, 117591, 16144, 198, 107795, 17620, 220, 55031, 52597, 250, 104989, 16144, 119400, 103296, 16144, 39177, 23538, 20230, 30591, 28713, 30369, 220, 24, 102240, 220, 1419, 76502, 55031, 220, 605, 102240, 220, 1419, 76502, 103296, 16144, 2148, 9080, 56965, 16144, 117232, 30512, 65743, 30369, 78519, 103605, 103306, 32977, 82912, 109669, 76622, 110071, 100909, 108176, 16144, 119627, 111476, 108895, 56051, 198, 38144, 25827, 102802, 25827, 103605, 19732, 127173, 104028, 78519, 103605, 15682, 5486, 18049, 106, 37823, 114741, 101365, 87177, 121960, 15682, 35469, 115, 33014, 112535, 67645, 120950, 68171, 37507, 114792, 59739, 78519, 103605, 103195, 19732, 113727, 110071, 100909, 108176, 105879, 109954, 32149, 95532, 14711, 105490, 242, 162, 66391, 16144, 58850, 101365, 39880, 71634, 102803, 39880, 19732, 104603, 37823, 114741, 101365, 87177, 122692, 30590, 17905, 16144, 102616, 16144, 72027, 102936, 16144, 53953, 102158, 198, 102131, 112990, 5486, 126843, 111476, 38144, 25827, 102802, 25827, 103605, 19732, 127173, 104028, 78519, 103605, 121960, 103309, 35894, 20230, 110240, 32149, 104028, 100909, 108176, 84102, 99, 65917, 16144, 117395, 16144, 101544, 30813, 29295, 50667, 102800, 30813, 33334, 16144, 110176, 79982, 20230, 41920, 109577, 16144, 9444, 123, 29295, 59739, 30369, 103646, 36827, 14191, 97, 16144, 110783, 15682, 5486, 18049, 106, 37823, 114741, 101365, 87177, 16144, 53953, 102158, 121960, 15682, 5486, 108519, 104577, 16144, 58850, 101365, 103857, 102663, 11972, 107173, 42016, 15120, 103984, 110731, 105490, 242, 162, 66391, 16144, 58850, 101365, 39880, 71634, 102803, 39880, 19732, 5486, 114516, 19732, 101365, 104680, 30512, 62004, 104699, 30369, 105416, 17905, 16144, 102616, 16144, 72027, 102936, 16144, 53953, 102158, 16144, 117591, 20230, 58426, 35469, 115, 33014, 109904, 68171, 37507, 29295, 32018, 62004, 102204, 100481, 47884, 100909, 101983, 104533, 113727, 110071, 100909, 115717, 33541, 9174, 31195, 198, 112798, 103892, 72661, 43032, 103854, 28713, 104466, 111476, 104603, 37823, 114741, 101365, 87177, 122692, 107384, 101365, 39880, 71634, 102803, 39880, 15682, 5486, 104603, 37823, 114741, 101365, 87177, 16144, 91082, 101365, 108270, 115474, 19732, 107531, 16144, 58850, 101365, 57933, 101198, 22398, 110792, 122756, 21990, 17129, 103468, 108519, 104577, 30512, 65743, 30369, 58850, 101365, 103195, 110045, 57183, 102663, 11972, 19732, 42016, 15120, 103984, 107001, 105908, 101182, 16144, 119627, 111476, 58426, 102717, 32149, 105352, 5486, 108895, 56051, 198, 39880, 71634, 102803, 39880, 19732, 127173, 104028, 58850, 101365, 16144, 110783, 15682, 5486, 76502, 72027, 30512, 65743, 30369, 78519, 35894, 16144, 101365, 103195, 94632, 71634, 102803, 90962, 22398, 19732, 5486, 41766, 250, 31958, 76622, 19732, 104346, 30512, 65743, 30369, 113204, 223, 16144, 58850, 101365, 103195, 107748, 90962, 22398, 110792, 122756, 21990, 17129, 103468, 123768, 120, 114792, 59739, 58850, 101365, 16144, 110783, 103306, 110240, 32149, 33121, 100481, 47884, 115789, 57903, 33541, 9174, 80539, 111476, 104603, 37823, 114741, 101365, 87177, 16144, 53953, 102158, 16144, 26854, 32149, 16556, 5486, 108895, 56051, 94632, 71634, 102803, 39880, 19732, 127173, 104028, 58850, 101365, 109853, 16144, 109467, 109904, 78244, 82317, 29295, 26854, 110731, 23964, 229, 32938, 15682, 108008, 20230, 83747, 100604, 16144, 119627, 111476, 51330, 58850, 101365, 16144, 13372, 15682, 5486, 88852, 16556, 43032, 103854, 30369, 105933, 198, 104603, 37823, 114741, 101365, 87177, 122692, 105416, 17905, 16144, 102616, 16144, 72027, 102936, 16144, 53953, 102158, 16144, 26854, 32149, 16556, 5486, 21105, 108, 21105, 108, 78244, 82317, 84389, 100481, 47884, 100909, 101983, 104533, 113727, 110071, 100909, 108176, 16144, 38641, 9174, 14711, 115335, 35330, 113146, 55031, 109673, 16144, 113146, 103296, 16144, 102616, 16144, 72027, 102936, 16144, 53953, 102158, 19732, 116254, 89151, 26854, 64209, 114792, 59739, 39880, 71634, 102803, 39880, 29295, 78519, 35894, 20230, 108618, 56051, 25333, 19732, 37656, 104577, 30512, 47523, 17599, 112, 54926, 78519, 103605, 16144, 83799, 198, 104603, 37823, 114741, 101365, 87177, 16144, 53953, 102158, 121960, 15682, 5486, 114516, 29295, 123726, 38144, 105898, 105416, 17905, 16144, 102616, 15682, 111476, 32149, 59739, 38144, 101402, 102491, 16144, 11881, 242, 20230, 108270, 115474, 16144, 104503, 103195, 198, 110305, 101335, 22398, 29295, 36827, 35894, 30512, 46456, 55487, 39926, 102532, 5486, 30590, 17905, 121960, 32977, 102362, 56965, 19732, 101365, 104680, 29295, 55999, 20230, 127331, 33503, 107113, 105310, 35330, 113146, 55031, 111476, 110305, 101335, 22398, 19732, 108270, 115474, 16144, 56965, 16556, 198, 36827, 35894, 16144, 46456, 55487, 112607, 30512, 62004, 104699, 30369, 101365, 104680, 16144, 102669, 16995, 29295, 23039, 123671, 108048, 113468, 110305, 101335, 22398, 29295, 36827, 98220, 55031, 104862, 78183, 106824, 5486, 18049, 120, 115474, 29295, 36827, 35894, 30512, 46456, 55487, 54926, 101200, 110276, 110849, 108115, 16144, 113146, 111476, 101365, 104680, 19732, 114516, 29295, 101987, 104004, 102616, 29295, 106483, 119178, 106627, 33121, 100481, 47884, 100909, 113468, 111476, 30590, 17905, 16144, 102616, 113115, 54926, 101365, 104680, 111848, 46456, 55487, 29295, 83747, 21105, 248, 59739, 112294, 17129, 107462, 50834, 5486, 30590, 17905, 121960, 32977, 119273, 104680, 20230, 55699, 249, 111848, 106106, 16995, 29295, 115079, 58942, 100481, 47884, 101200, 101983, 107462, 100472, 111054, 103842, 227, 16144, 113146, 111476, 102669, 106106, 19732, 108789, 109161, 29295, 101083, 16144, 40053, 121711, 5486, 105416, 17905, 20230, 109161, 122088, 29295, 15682, 102802, 22957, 30369, 101200, 110276, 117826, 19000, 16144, 102616, 124259, 33035, 100204, 30369, 18630, 231, 226, 16144, 113146, 124259, 106307, 47884, 109853, 5486, 83747, 21105, 248, 59739, 45144, 243, 102936, 109768, 50834, 5486, 103879, 94, 102936, 112028, 108968, 30512, 28713, 67645, 107462, 47884, 100909, 101983, 107462, 100472, 19732, 122984, 84389, 100481, 47884, 100909, 115717, 33541, 9174, 102131, 56051, 30590, 17905, 16144, 102616, 121960, 111476, 102669, 106106, 19732, 110665, 48634, 5486, 127437, 246, 19732, 28194, 116, 82420, 102083, 100472, 118375, 103, 122088, 29295, 30591, 105104, 104028, 101200, 110276, 18630, 231, 226, 16144, 113146, 29295, 120824, 104028, 100909, 101983, 104533, 5486, 18049, 120, 115474, 30512, 116882, 103892, 117408, 107289, 107805, 89154, 117718, 101365, 104680, 15682, 121906, 56051, 30590, 17905, 102052, 102802, 22957, 30369, 102362, 56965, 126027, 109161, 122088, 19732, 105194, 250, 109161, 30813, 20230, 115389, 116499, 30813, 39926, 5486, 104966, 17905, 16144, 102616, 124259, 109818, 107462, 76947, 114732, 100909, 108176, 16144, 119627, 111476, 102131, 56051, 26854, 32149, 111476, 116254, 89151, 26854, 64209, 114792, 59739, 58850, 101365, 115287, 94632, 71634, 102803, 39880, 103378, 15682, 5486, 102717, 116421, 101365, 104680, 29295, 64121, 26854, 30590, 17905, 124911, 104680, 104088, 15017, 101, 38144, 38144, 36827, 17905, 16144, 102616, 124259, 109818, 76947, 114604, 74482, 32977, 5486, 220, 90620, 122485, 30590, 17905, 20230, 108618, 76947, 5486, 109161, 122088, 20230, 105104, 105784, 114516, 105459, 20230, 108519, 104577, 16144, 64209, 30512, 108167, 114941, 17663, 104466, 114626, 103296, 126014, 58942, 106307, 76622, 100481, 47884, 100909, 115717, 33541, 9174, 80673, 111476, 16995, 126910, 124097, 37689, 30512, 32977, 76947, 17792, 104680, 20230, 105324, 102802, 32149, 107441, 32977, 5486, 114516, 16144, 103424, 64209, 20230, 126014, 105262, 115364, 126390, 104655, 108895, 117408, 30046, 29295, 112832, 32977, 16995, 123733, 76947, 114604, 106592, 125636, 100472, 198, 39880, 71634, 102803, 39880, 15682, 123334, 29295, 38144, 101961, 17792, 30813, 102802, 106624, 36827, 17905, 16144, 102616, 124259, 109818, 107462, 47884, 100909, 108176, 16144, 119627, 111476, 77693, 72661, 5486, 114516, 126027, 198, 64209, 16144, 105665, 104792, 20230, 120379, 103836, 37656, 104577, 16144, 64209, 16144, 48706, 30512, 104662, 39926, 107750, 30297, 105908, 104435, 94632, 71634, 102803, 39880, 15682, 5486, 105994, 29295, 51330, 102616, 30512, 86436, 76947, 114604, 74482, 32977, 111476, 74482, 101083, 20230, 123726, 30369, 17792, 104680, 29295, 5486, 108064, 32149, 116414, 116421, 113146, 16556, 115364, 198, 64209, 16144, 32943, 20230, 120379, 30369, 103424, 64209, 16144, 71174, 20230, 108870, 30512, 101427, 122, 107441, 5486, 32149, 59739, 38144, 30590, 17905, 16144, 102616, 121960, 32977, 48706, 107113, 107531, 19732, 37656, 104577, 16144, 46456, 55487, 20230, 75146, 109669, 47884, 76771, 102, 33144, 19732, 50211, 34208, 20230, 112624, 43514, 28713, 112296, 101067, 16144, 102616, 30512, 88356, 102802, 113638, 50834, 109415, 100481, 47884, 106592, 78228, 56051, 126101, 106116, 45893, 15024, 30369, 103854, 104088, 21388, 30297, 105908, 100604, 104466, 111476, 105994, 29295, 69978, 106358, 53953, 30926, 16144, 198, 106594, 109161 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 102944, 30512, 45736, 112603, 16556, 107691, 76947, 114604, 31431, 54926, 68408, 39850, 37823, 67075, 115991, 33541, 9174, 72516, 20230, 109467, 102780, 30512, 103768, 102189, 31431, 112984, 23187, 120837, 33503, 100472, 111842, 46034, 56965, 29295, 32149, 117295, 32149, 110241, 33121, 107515, 29295, 5486, 114363, 103722, 16144, 101275, 30046, 105110, 105184, 103350, 38641, 119520, 5486, 110135, 114840, 25446, 30512, 121247, 103836, 107691, 18655, 72516, 105110, 116414, 72661, 126521, 102677, 113334, 77181, 124897, 1811, 59795, 102769, 112909, 50834, 43514, 127842, 124140, 23187, 39926, 124089, 124140, 23187, 101559, 16144, 107991, 107691, 18655, 101275, 30046, 30512, 102647, 102802, 17129, 109954, 9174, 59795, 102769, 112909, 107691, 16995, 18655, 103836, 107691, 18655, 101275, 30046, 15682, 5486, 67645, 16144, 105494, 30512, 64121, 38144, 112984, 23187, 109518, 30512, 104662, 62004, 100934, 104865, 104873, 115694, 64121, 79721, 9174, 32977, 107173, 110792, 95001, 112603, 105352, 105755, 33541, 29295, 13177, 109657, 102333, 123, 66383, 57980, 81219, 104028, 59795, 102769, 46034, 15682, 5486, 16, 109577, 105110, 605, 110743, 108680, 5486, 16, 57207, 84477, 10110, 1490, 109577, 7705, 105110, 16, 11, 931, 110743, 16556, 18655, 73686, 107001, 115789, 57903, 33541, 9174, 110904, 116254, 26854, 109577, 9039, 17620, 29295, 21601, 70203, 107001, 16144, 126194, 13177, 21441, 225, 103836, 66383, 95604, 95001, 112603, 29295, 57326, 112718, 107001, 117840, 9174, 39442, 38129, 25446, 19732, 38129, 25446, 77181, 5486, 107691, 18655, 109518, 20230, 119448, 47884, 104364, 29295, 59739, 50834, 33541, 1811, 102944, 113468, 15682, 58426, 104364, 15682, 605, 98406, 108176, 115789, 9174, 32977, 43514, 85791, 25827, 62903, 108748, 26854, 24273, 29295, 107691, 18655, 109518, 15682, 115442, 31431, 33541, 29295, 5486, 104437, 83747, 95001, 112603, 29295, 126574, 102769, 46034, 16144, 126513, 62903, 78525, 29295, 30591, 114598, 114392, 26854, 121374, 16556, 107691, 16995, 18655, 76947, 124089, 115789, 57903, 33541, 9174, 45736, 109518, 16556, 18655, 73686, 110731, 103846, 5486, 49691, 121, 53953, 16144, 102769, 46034, 32977, 43240, 47884, 20834, 18904, 76947, 61689, 105879, 5486, 50834, 43514, 127842, 22656, 53953, 104088, 113487, 105784, 124140, 23187, 101559, 20230, 112984, 23187, 120837, 33503, 30297, 100909, 33334, 125683, 62004, 78434, 1811, 128001, 128000, 567, 87109, 117859, 26854, 91875, 50834, 5486, 91774, 105150, 31431, 33541, 121968, 109373, 71493, 127194, 20230, 17039, 123141, 198, 103181, 109373, 71493, 127194, 16144, 106482, 66201, 30512, 115681, 16556, 106596, 15024, 5486, 76622, 25827, 32149, 71289, 16937, 117859, 26854, 123120, 5486, 101544, 82973, 54322, 22324, 103646, 16937, 117859, 53953, 104309, 104088, 17620, 107441, 108901, 40053, 30512, 53283, 117063, 30369, 123141, 16144, 122401, 30512, 110745, 108469, 23530, 80195, 27384, 16144, 116750, 21990, 109596, 116891, 10110, 115240, 117120, 22649, 7705, 120577, 102473, 124180, 29295, 103130, 62004, 100934, 1811, 19653, 126693, 104970, 104874, 108695, 16144, 110423, 103984, 102351, 16144, 109972, 106529, 117355, 114485, 71289, 127688, 126128, 82533, 107294, 105722, 104533, 125494, 110731, 9174, 116750, 21990, 116891, 103732, 104533, 5486, 103181, 109373, 71493, 127194, 19732, 112361, 116245, 20230, 5486, 124349, 30512, 108867, 23187, 54926, 113714, 118718, 30512, 102332, 22324, 1811, 123141, 50338, 98871, 16556, 5486, 118726, 71289, 102832, 109482, 104309, 85707, 62004, 55031, 101182, 53953, 15682, 13177, 124858, 66383, 39926, 21418, 48915, 15024, 5486, 17792, 71289, 53953, 30512, 13177, 103359, 47523, 53953, 66383, 39926, 82912, 116690, 71289, 119448, 30813, 30512, 80195, 33014, 112535, 108867, 23187, 54926, 9174, 103359, 47523, 53953, 16144, 91875, 50834, 30512, 111134, 52591, 33208, 39926, 106596, 54926, 118733, 13177, 16937, 117859, 26854, 91875, 50834, 123410, 17792, 59712, 22324, 32149, 103468, 110674, 91875, 126660, 16937, 117859, 53953, 10646, 123160, 108901, 40053, 104088, 126268, 121406, 1811, 110423, 103984, 102351, 15682, 109242, 9039, 16144, 103181, 109373, 71493, 127194, 16144, 106482, 66201, 114447, 103846, 5486, 107079, 33014, 9554, 5486, 113116, 109904, 109972, 106529, 29295, 119448, 47884, 36896, 16995, 75694, 102677, 112661, 56965, 10646, 104088, 110074, 17663, 115789, 83747, 103470, 100604, 102677, 9174, 102473, 124180, 15682, 37271, 74482, 36896, 20713, 114754, 112361, 116245, 30512, 30297, 103950, 85791, 54926, 59712, 36149, 112, 31431, 40862, 16995, 59712, 53953, 29295, 101544, 82973, 54322, 22324, 110731, 10646, 104309, 102321, 103350, 20230, 125119, 31431, 126172, 16995, 75267, 28190, 30512, 103350, 102446, 39926, 125152, 58322, 1811, 123141, 16556, 50338, 98871, 39926, 119526, 102832, 61398, 103306, 105623, 226, 108882, 15024, 5486, 42016, 103826, 16144, 91875, 50834, 122291, 107803, 20230, 13177, 108901, 40053, 66383, 122225, 108608, 104466, 54926, 9174, 116750, 21990, 116891, 15682, 13177, 103449, 71289, 35894, 103354, 113245, 110423, 103984, 5486, 29741, 17297, 101467, 16325, 16144, 116581, 109421, 16144, 91774, 106154, 112586, 76706, 11883, 126693, 5486, 51385, 64209, 39926, 127331, 117063, 30369, 101200, 108176, 66383, 87177, 103792, 1811, 128001, 128000, 567, 220, 38144, 25827, 102802, 25827, 103605, 16144, 104603, 37823, 114741, 101365, 87177, 122692, 68171, 37507, 107118, 11571, 116254, 162, 66391, 16144, 58850, 101365, 39880, 71634, 102803, 39880, 29295, 78519, 35894, 20230, 108618, 56051, 25333, 19732, 37656, 104577, 30512, 47523, 17599, 112, 54926, 78519, 103605, 16144, 83799, 198, 105310, 45893, 114093, 78519, 103605, 112028, 59739, 103306, 82912, 109669, 76622, 125398, 104966, 14191, 97, 103605, 10110, 38144, 25827, 102802, 25827, 75694, 119735, 5486, 105310, 45893, 114093, 106496, 122692, 104966, 14191, 97, 106496, 10110, 38144, 25827, 102802, 25827, 50834, 116186, 30297, 120732, 108761, 103438, 107173, 102971, 102802, 126268, 110071, 100909, 113468, 111476, 110446, 64803, 107792, 95221, 16144, 117591, 16144, 198, 107795, 17620, 220, 55031, 52597, 250, 104989, 16144, 119400, 103296, 16144, 39177, 23538, 20230, 30591, 28713, 30369, 220, 24, 102240, 220, 1419, 76502, 55031, 220, 605, 102240, 220, 1419, 76502, 103296, 16144, 2148, 9080, 56965, 16144, 117232, 30512, 65743, 30369, 78519, 103605, 103306, 32977, 82912, 109669, 76622, 110071, 100909, 108176, 16144, 119627, 111476, 108895, 56051, 198, 38144, 25827, 102802, 25827, 103605, 19732, 127173, 104028, 78519, 103605, 15682, 5486, 18049, 106, 37823, 114741, 101365, 87177, 121960, 15682, 35469, 115, 33014, 112535, 67645, 120950, 68171, 37507, 114792, 59739, 78519, 103605, 103195, 19732, 113727, 110071, 100909, 108176, 105879, 109954, 32149, 95532, 14711, 105490, 242, 162, 66391, 16144, 58850, 101365, 39880, 71634, 102803, 39880, 19732, 104603, 37823, 114741, 101365, 87177, 122692, 30590, 17905, 16144, 102616, 16144, 72027, 102936, 16144, 53953, 102158, 198, 102131, 112990, 5486, 126843, 111476, 38144, 25827, 102802, 25827, 103605, 19732, 127173, 104028, 78519, 103605, 121960, 103309, 35894, 20230, 110240, 32149, 104028, 100909, 108176, 84102, 99, 65917, 16144, 117395, 16144, 101544, 30813, 29295, 50667, 102800, 30813, 33334, 16144, 110176, 79982, 20230, 41920, 109577, 16144, 9444, 123, 29295, 59739, 30369, 103646, 36827, 14191, 97, 16144, 110783, 15682, 5486, 18049, 106, 37823, 114741, 101365, 87177, 16144, 53953, 102158, 121960, 15682, 5486, 108519, 104577, 16144, 58850, 101365, 103857, 102663, 11972, 107173, 42016, 15120, 103984, 110731, 105490, 242, 162, 66391, 16144, 58850, 101365, 39880, 71634, 102803, 39880, 19732, 5486, 114516, 19732, 101365, 104680, 30512, 62004, 104699, 30369, 105416, 17905, 16144, 102616, 16144, 72027, 102936, 16144, 53953, 102158, 16144, 117591, 20230, 58426, 35469, 115, 33014, 109904, 68171, 37507, 29295, 32018, 62004, 102204, 100481, 47884, 100909, 101983, 104533, 113727, 110071, 100909, 115717, 33541, 9174, 31195, 198, 112798, 103892, 72661, 43032, 103854, 28713, 104466, 111476, 104603, 37823, 114741, 101365, 87177, 122692, 107384, 101365, 39880, 71634, 102803, 39880, 15682, 5486, 104603, 37823, 114741, 101365, 87177, 16144, 91082, 101365, 108270, 115474, 19732, 107531, 16144, 58850, 101365, 57933, 101198, 22398, 110792, 122756, 21990, 17129, 103468, 108519, 104577, 30512, 65743, 30369, 58850, 101365, 103195, 110045, 57183, 102663, 11972, 19732, 42016, 15120, 103984, 107001, 105908, 101182, 16144, 119627, 111476, 58426, 102717, 32149, 105352, 5486, 108895, 56051, 198, 39880, 71634, 102803, 39880, 19732, 127173, 104028, 58850, 101365, 16144, 110783, 15682, 5486, 76502, 72027, 30512, 65743, 30369, 78519, 35894, 16144, 101365, 103195, 94632, 71634, 102803, 90962, 22398, 19732, 5486, 41766, 250, 31958, 76622, 19732, 104346, 30512, 65743, 30369, 113204, 223, 16144, 58850, 101365, 103195, 107748, 90962, 22398, 110792, 122756, 21990, 17129, 103468, 123768, 120, 114792, 59739, 58850, 101365, 16144, 110783, 103306, 110240, 32149, 33121, 100481, 47884, 115789, 57903, 33541, 9174, 80539, 111476, 104603, 37823, 114741, 101365, 87177, 16144, 53953, 102158, 16144, 26854, 32149, 16556, 5486, 108895, 56051, 94632, 71634, 102803, 39880, 19732, 127173, 104028, 58850, 101365, 109853, 16144, 109467, 109904, 78244, 82317, 29295, 26854, 110731, 23964, 229, 32938, 15682, 108008, 20230, 83747, 100604, 16144, 119627, 111476, 51330, 58850, 101365, 16144, 13372, 15682, 5486, 88852, 16556, 43032, 103854, 30369, 105933, 198, 104603, 37823, 114741, 101365, 87177, 122692, 105416, 17905, 16144, 102616, 16144, 72027, 102936, 16144, 53953, 102158, 16144, 26854, 32149, 16556, 5486, 21105, 108, 21105, 108, 78244, 82317, 84389, 100481, 47884, 100909, 101983, 104533, 113727, 110071, 100909, 108176, 16144, 38641, 9174, 14711, 115335, 35330, 113146, 55031, 109673, 16144, 113146, 103296, 16144, 102616, 16144, 72027, 102936, 16144, 53953, 102158, 19732, 116254, 89151, 26854, 64209, 114792, 59739, 39880, 71634, 102803, 39880, 29295, 78519, 35894, 20230, 108618, 56051, 25333, 19732, 37656, 104577, 30512, 47523, 17599, 112, 54926, 78519, 103605, 16144, 83799, 198, 104603, 37823, 114741, 101365, 87177, 16144, 53953, 102158, 121960, 15682, 5486, 114516, 29295, 123726, 38144, 105898, 105416, 17905, 16144, 102616, 15682, 111476, 32149, 59739, 38144, 101402, 102491, 16144, 11881, 242, 20230, 108270, 115474, 16144, 104503, 103195, 198, 110305, 101335, 22398, 29295, 36827, 35894, 30512, 46456, 55487, 39926, 102532, 5486, 30590, 17905, 121960, 32977, 102362, 56965, 19732, 101365, 104680, 29295, 55999, 20230, 127331, 33503, 107113, 105310, 35330, 113146, 55031, 111476, 110305, 101335, 22398, 19732, 108270, 115474, 16144, 56965, 16556, 198, 36827, 35894, 16144, 46456, 55487, 112607, 30512, 62004, 104699, 30369, 101365, 104680, 16144, 102669, 16995, 29295, 23039, 123671, 108048, 113468, 110305, 101335, 22398, 29295, 36827, 98220, 55031, 104862, 78183, 106824, 5486, 18049, 120, 115474, 29295, 36827, 35894, 30512, 46456, 55487, 54926, 101200, 110276, 110849, 108115, 16144, 113146, 111476, 101365, 104680, 19732, 114516, 29295, 101987, 104004, 102616, 29295, 106483, 119178, 106627, 33121, 100481, 47884, 100909, 113468, 111476, 30590, 17905, 16144, 102616, 113115, 54926, 101365, 104680, 111848, 46456, 55487, 29295, 83747, 21105, 248, 59739, 112294, 17129, 107462, 50834, 5486, 30590, 17905, 121960, 32977, 119273, 104680, 20230, 55699, 249, 111848, 106106, 16995, 29295, 115079, 58942, 100481, 47884, 101200, 101983, 107462, 100472, 111054, 103842, 227, 16144, 113146, 111476, 102669, 106106, 19732, 108789, 109161, 29295, 101083, 16144, 40053, 121711, 5486, 105416, 17905, 20230, 109161, 122088, 29295, 15682, 102802, 22957, 30369, 101200, 110276, 117826, 19000, 16144, 102616, 124259, 33035, 100204, 30369, 18630, 231, 226, 16144, 113146, 124259, 106307, 47884, 109853, 5486, 83747, 21105, 248, 59739, 45144, 243, 102936, 109768, 50834, 5486, 103879, 94, 102936, 112028, 108968, 30512, 28713, 67645, 107462, 47884, 100909, 101983, 107462, 100472, 19732, 122984, 84389, 100481, 47884, 100909, 115717, 33541, 9174, 102131, 56051, 30590, 17905, 16144, 102616, 121960, 111476, 102669, 106106, 19732, 110665, 48634, 5486, 127437, 246, 19732, 28194, 116, 82420, 102083, 100472, 118375, 103, 122088, 29295, 30591, 105104, 104028, 101200, 110276, 18630, 231, 226, 16144, 113146, 29295, 120824, 104028, 100909, 101983, 104533, 5486, 18049, 120, 115474, 30512, 116882, 103892, 117408, 107289, 107805, 89154, 117718, 101365, 104680, 15682, 121906, 56051, 30590, 17905, 102052, 102802, 22957, 30369, 102362, 56965, 126027, 109161, 122088, 19732, 105194, 250, 109161, 30813, 20230, 115389, 116499, 30813, 39926, 5486, 104966, 17905, 16144, 102616, 124259, 109818, 107462, 76947, 114732, 100909, 108176, 16144, 119627, 111476, 102131, 56051, 26854, 32149, 111476, 116254, 89151, 26854, 64209, 114792, 59739, 58850, 101365, 115287, 94632, 71634, 102803, 39880, 103378, 15682, 5486, 102717, 116421, 101365, 104680, 29295, 64121, 26854, 30590, 17905, 124911, 104680, 104088, 15017, 101, 38144, 38144, 36827, 17905, 16144, 102616, 124259, 109818, 76947, 114604, 74482, 32977, 5486, 220, 90620, 122485, 30590, 17905, 20230, 108618, 76947, 5486, 109161, 122088, 20230, 105104, 105784, 114516, 105459, 20230, 108519, 104577, 16144, 64209, 30512, 108167, 114941, 17663, 104466, 114626, 103296, 126014, 58942, 106307, 76622, 100481, 47884, 100909, 115717, 33541, 9174, 80673, 111476, 16995, 126910, 124097, 37689, 30512, 32977, 76947, 17792, 104680, 20230, 105324, 102802, 32149, 107441, 32977, 5486, 114516, 16144, 103424, 64209, 20230, 126014, 105262, 115364, 126390, 104655, 108895, 117408, 30046, 29295, 112832, 32977, 16995, 123733, 76947, 114604, 106592, 125636, 100472, 198, 39880, 71634, 102803, 39880, 15682, 123334, 29295, 38144, 101961, 17792, 30813, 102802, 106624, 36827, 17905, 16144, 102616, 124259, 109818, 107462, 47884, 100909, 108176, 16144, 119627, 111476, 77693, 72661, 5486, 114516, 126027, 198, 64209, 16144, 105665, 104792, 20230, 120379, 103836, 37656, 104577, 16144, 64209, 16144, 48706, 30512, 104662, 39926, 107750, 30297, 105908, 104435, 94632, 71634, 102803, 39880, 15682, 5486, 105994, 29295, 51330, 102616, 30512, 86436, 76947, 114604, 74482, 32977, 111476, 74482, 101083, 20230, 123726, 30369, 17792, 104680, 29295, 5486, 108064, 32149, 116414, 116421, 113146, 16556, 115364, 198, 64209, 16144, 32943, 20230, 120379, 30369, 103424, 64209, 16144, 71174, 20230, 108870, 30512, 101427, 122, 107441, 5486, 32149, 59739, 38144, 30590, 17905, 16144, 102616, 121960, 32977, 48706, 107113, 107531, 19732, 37656, 104577, 16144, 46456, 55487, 20230, 75146, 109669, 47884, 76771, 102, 33144, 19732, 50211, 34208, 20230, 112624, 43514, 28713, 112296, 101067, 16144, 102616, 30512, 88356, 102802, 113638, 50834, 109415, 100481, 47884, 106592, 78228, 56051, 126101, 106116, 45893, 15024, 30369, 103854, 104088, 21388, 30297, 105908, 100604, 104466, 111476, 105994, 29295, 69978, 106358, 53953, 30926, 16144, 198, 106594, 109161 ]
[ 30512, 37656, 106624, 91774, 110993, 109315, 124122, 76771, 97, 10110, 15682, 107277, 7705, 30512, 78519, 35894, 16144, 117591, 102416, 110162, 32149, 102639, 38144, 5486, 107531, 19732, 37656, 104577, 30512, 47523, 17599, 112, 54926, 115865, 103605, 16144, 83799, 103306, 41766, 250, 35894, 16144, 26854, 111201, 108618, 109768, 100472, 102677, 112973, 111476, 104603, 37823, 114741, 101365, 87177, 122692, 220, 38144, 25827, 102802, 25827, 103605, 19732, 127173, 104028, 115865, 103605, 16144, 118789, 109904, 68171, 37507, 103195, 19732, 113727, 110071, 100909, 108176, 16144, 38641, 9174, 33671, 18904, 77219, 5232, 30813, 27929, 31431, 103605, 16144, 104603, 37823, 114741, 101365, 87177, 122692, 68171, 37507, 107118, 11571, 101365, 16144, 110456, 65854, 119012, 60868, 102741, 37823, 19732, 109098, 17792, 118028, 110191, 19732, 9953, 16144, 58850, 101365, 107908, 57933, 101198, 117718, 111943, 16144, 53953, 102158, 198, 97518, 89046, 77219, 29411, 38144, 25827, 102802, 25827, 103605, 16144, 78519, 16144, 120613, 16144, 68171, 37507, 107118, 11571, 13177, 36827, 14191, 97, 16144, 41920, 118821, 9444, 123, 118587, 47523, 17599, 112, 54926, 41920, 118821, 78519, 19732, 127960, 55031, 91774, 105262, 110164, 121040, 32335, 102491, 16144, 78519, 198, 25580, 18904, 77219, 29411, 33334, 19732, 62004, 103605, 16144, 104603, 37823, 114741, 101365, 87177, 122692, 68171, 37507, 107118, 11571, 119515, 33354, 96, 16144, 58850, 101365, 68408, 39850, 113834, 16144, 107571, 116446, 13828, 98, 98220, 16144, 101538, 102040, 68408, 117718, 109297, 107173, 26854, 100472, 99695, 33710, 64810, 89154, 102750, 16144, 53953, 102158, 45631, 104966, 122411, 117503, 116731, 103621, 102540, 102416, 198, 13177, 106711, 87177, 117503, 116731, 103621, 102540, 102416, 128001, 128000, 14711, 220, 17, 111299, 56965, 16556, 1490, 7501, 55031, 5958, 11, 16, 7501, 102416, 198, 90115, 9174, 104662, 39926, 126521, 124863, 68759, 102750, 30512, 21105, 103, 16995, 104127, 111654, 102800, 116233, 29295, 5486, 103672, 29220, 15682, 101402, 31431, 120195, 29295, 33014, 104873, 16937, 103424, 112028, 63212, 103195, 103846, 114318, 31431, 30591, 58942, 101860, 121854, 111101, 26854, 110095, 117201, 124807, 76739, 67075, 127145, 9174, 122582, 110382, 9039, 9080, 5486, 124807, 76739, 67075, 77219, 30512, 104356, 20230, 102181, 119188, 105879, 5486, 78183, 32149, 104533, 91763, 61689, 9174, 9039, 8107, 25580, 105352, 102181, 50834, 79721, 29295, 5486, 124807, 76739, 67075, 30512, 19653, 124545, 104468, 114640, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 9174, 77693, 30512, 109205, 69978, 108608, 32149, 104405, 32149, 38641, 9174, 80539, 109205, 69978, 54926, 124122, 46034, 38574, 16144, 115303, 59739, 29295, 5486, 43240, 119064, 107707, 30832, 20230, 45114, 240, 17663, 100909, 38641, 9174, 19732, 112844, 113334, 16556, 5486, 103672, 29220, 16144, 110382, 17, 111299, 56965, 108680, 16144, 33014, 30358, 16144, 84851, 60634, 30512, 107121, 72342, 33541, 9174, 96356, 101544, 15682, 11128, 6358, 38641, 9174, 20, 9953, 17297, 6079, 105, 20230, 103664, 1490, 7501, 105693, 33014, 30358, 29295, 21, 9953, 1032, 9080, 39177, 28542, 16556, 5958, 13, 16, 7501, 9174, 75146, 17920, 236, 31640, 118835, 116749, 20230, 124981, 38248, 255, 94550, 32149, 113909, 104603, 94550, 16556, 32335, 103167, 2636, 74, 5531, 30512, 33420, 106382, 15024, 5486, 16, 9080, 30591, 28713, 111331, 102456, 30926, 3484, 28359, 102718, 74, 5531, 20230, 126128, 107290, 61689, 9174, 30591, 107118, 104328, 28713, 17663, 33503, 163, 65620, 108602, 115320, 42506, 10110, 108270, 42634, 71493, 42634, 102540, 7705, 16556, 112624, 113351, 121894, 9174, 26854, 105879, 127359, 102750, 21105, 94, 101668, 99959, 39850, 38641, 9174, 103672, 29220, 15682, 2031, 7501, 30512, 102769, 30369, 17129, 77181, 110371, 99695, 61398, 16556, 23039, 47884, 59739, 123731, 119627, 9174, 26854, 20230, 72342, 5486, 96356, 29295, 30358, 16995, 106592, 103350, 99750, 103082, 5486, 104930, 66953, 30813, 30512, 103350, 99750, 103792, 55031, 38641, 9174, 17039, 106222, 17792, 40265, 39177, 15682, 112361, 96356, 101544, 16556, 5538, 7501, 16556, 56051, 1811, 110924, 29295, 102012, 110993, 30832, 105888, 38641, 9174, 14711, 37922, 82, 198, 124981, 38248, 255, 94550, 16556, 33420, 106382, 108608, 71493, 42634, 102540, 102052, 122282, 41007, 107407, 102131, 38641, 9174, 45975, 82, 19732, 105324, 102802, 33541, 9174, 51330, 45975, 82, 104088, 100934, 19732, 5486, 120065, 102769, 123733, 31431, 33541, 101832, 9174, 33014, 30358, 2031, 7501, 16144, 114754, 16, 82973, 124981, 38248, 255, 94550, 120837, 103664, 3101, 74, 5531, 67016, 33420, 106382, 84389, 107515, 9174, 113909, 104603, 94550, 105110, 19633, 74, 5531, 9174, 16, 82973, 16144, 124981, 38248, 255, 94550, 71289, 113909, 104603, 94550, 76947, 5486, 102971, 106391, 27384, 104721, 38641, 123794, 9174, 102456, 30926, 16556, 2636, 74, 5531, 114485, 33503, 17663, 24273, 29295, 71493, 114483, 16073, 9174, 109860, 5486, 103672, 29220, 15682, 121854, 111101, 26854, 102456, 30926, 44416, 48249, 30512, 127145, 5486, 40265, 28190, 9174, 30813, 17663, 29295, 20230, 106649, 117232, 16556, 22, 7501, 32977, 71289, 72342, 104533, 5486, 105564, 47884, 112973, 119539, 20230, 112391, 33541, 101832, 9174, 90620, 15024, 30832, 105888, 15682, 30591, 19732, 605, 7501, 32977, 57903, 33541, 9174, 120550, 104533, 5486, 102456, 30926, 44416, 48249, 103378, 77181, 62903, 103223, 16995, 38641, 9174, 109860, 5486, 75146, 17920, 236, 31640, 118835, 29295, 119448, 47884, 109020, 105933, 111006, 19967, 31431, 5486, 59739, 109709, 5486, 119049, 107079, 16144, 127181, 111006, 126694, 30369, 113334, 38641, 9174, 117401, 16144, 113173, 15682, 108048, 37026, 33014, 16556, 71493, 42634, 102540, 30512, 33420, 106382, 54926, 115789, 57903, 33541, 29295, 5486, 71493, 42634, 102540, 30512, 33420, 106382, 15024, 126172, 16995, 111006, 126694, 30369, 105908, 36668, 113173, 38641, 9174, 605, 55038, 16144, 101513, 109472, 16144, 117591, 16144, 16, 55038, 29295, 104604, 108502, 54926, 105184, 96455, 126036, 5486, 1041, 55038, 16144, 101513, 109472, 16144, 117591, 16144, 16, 55038, 29295, 104604, 108502, 54926, 24273, 29295, 105184, 96455, 15682, 126574, 38641, 9174, 114516, 29295, 101402, 30369, 102677, 47260, 20251, 15682, 104398, 112506, 29295, 115079, 58942, 104533, 112844, 100909, 9174, 59739, 109709, 5486, 101513, 109472, 16144, 55038, 9039, 29295, 115079, 105262, 116233, 9174, 26854, 105879, 106116, 16325, 16144, 16, 55038, 29295, 104604, 108502, 54926, 105184, 96455, 5486, 104398, 112506, 29295, 103429, 95221, 108176, 105184, 96455, 15682, 115442, 31431, 33541, 9174, 119049, 107079, 29295, 127181, 116537, 33014, 30358, 15682, 30358, 47884, 111243, 48915, 114181, 15682, 71289, 72342, 127280, 9174, 121496, 57942, 103, 29295, 127181, 116537, 112361, 33014, 30358, 72661, 48915, 114181, 15682, 101402, 76947, 61689, 1811, 104398, 112506, 29295, 127181, 116233, 9174, 109860, 5486, 103429, 95221, 16144, 125396, 32977, 45736, 47884, 109020, 9174, 103188, 27479, 16144, 124807, 76739, 67075, 16556, 33014, 104873, 30512, 103553, 102, 17663, 19732, 115552, 15682, 43568, 16995, 119627, 5486, 103429, 95221, 16144, 106592, 113727, 104984, 5486, 103572, 38574, 55031, 33014, 121496, 57942, 103, 30512, 114485, 33503, 39926, 33334, 47884, 104468, 126521, 100909, 105321, 38641, 57980, 1811, 128001, 128000, 2, 121158, 29504, 102832, 109482, 68581, 11972, 114435, 16144, 79596, 14, 8445, 46, 14, 1182, 46, 115274, 110698, 58318, 71289, 110794, 108156, 57106, 96455, 104309, 198, 109834, 103868, 102987, 16995, 119526, 29295, 125053, 103646, 105879, 126362, 56051, 16995, 9174, 53477, 1195, 71, 1604, 3922, 20027, 58818, 5, 56, 1656, 69, 3922, 41, 2056, 677, 531, 10016, 18, 61337, 119046, 16556, 3922, 1049, 22, 8107, 19732, 1049, 23, 116358, 73361, 29504, 102832, 109482, 68581, 11972, 114435, 16144, 103350, 107328, 30512, 104873, 112984, 56051, 102944, 36785, 1811, 103359, 47523, 114435, 15682, 17590, 61337, 126370, 73361, 102208, 119208, 16144, 102832, 109482, 68581, 11972, 114435, 30512, 105550, 108327, 103792, 9174, 77181, 3922, 126843, 104873, 112984, 103359, 47523, 16144, 114435, 80356, 55031, 9174, 80539, 123532, 101275, 102351, 106045, 54872, 15682, 508, 13372, 88852, 29295, 32335, 43240, 16556, 7322, 61337, 10110, 1958, 4, 75376, 19732, 47884, 20230, 118823, 39276, 16144, 107803, 3922, 25904, 16556, 3484, 28359, 95598, 17792, 104309, 121602, 47884, 108680, 83747, 100604, 123717, 37729, 16556, 90962, 99695, 44971, 38248, 115, 78205, 16073, 103792, 105908, 127181, 9174, 105525, 17905, 106045, 54872, 103306, 15682, 20, 102718, 32307, 120389, 88852, 29295, 6860, 61337, 10110, 3174, 4, 7705, 19732, 121819, 105987, 112535, 127181, 9174, 91482, 76428, 102750, 22398, 76739, 104612, 103306, 15682, 102741, 112508, 111234, 39880, 122401, 29295, 103664, 103268, 9039, 16144, 2491, 71082, 118597, 29295, 605, 4, 104309, 964, 39276, 29295, 43240, 47884, 30512, 108928, 62004, 100934, 105908, 78183, 117295, 1811, 9039, 16556, 95604, 19732, 3922, 102832, 109482, 68581, 11972, 284, 8871, 39276, 102677, 111629, 29430, 29295, 102717, 109416, 13153, 31431, 80195, 103836, 101200, 36785, 9174, 80539, 110382, 55031, 51330, 104873, 112984, 16144, 26130, 30832, 17663, 125231, 110229, 9174, 107167, 48552, 112990, 26955, 94, 27384, 54926, 105879, 116696, 48552, 39926, 102717, 102800, 113637, 111629, 15682, 102832, 109482, 68581, 11972, 122692, 89154, 76428, 104272, 48154, 110792, 115274, 110226, 17701, 30512, 30591, 33503, 78183, 103792, 1811, 90962, 111999, 76428, 39276, 29295, 1049, 22, 110895, 3922, 41758, 102540, 16073, 39276, 29295, 1049, 23, 110895, 119526, 16556, 104295, 87217, 127919, 16995, 105494, 15682, 110698, 58318, 3922, 116213, 16995, 105494, 29295, 103672, 109793, 22398, 36785, 1811, 103672, 109793, 22398, 109853, 26130, 61304, 112990, 3922, 1049, 22, 8107, 17620, 15682, 41920, 59739, 20230, 17620, 32149, 106824, 108086, 3922, 17297, 55031, 13153, 28873, 30512, 104067, 13153, 39926, 103350, 104983, 109156, 100472, 103672, 109793, 22398, 127658, 112028, 87217, 116213, 16995, 105494, 15682, 112366, 13153, 28873, 30512, 104067, 13153, 112990, 50928, 102204, 101732, 102944, 109846, 1049, 22, 110895, 15682, 39442, 104067, 16144, 103846, 50928, 102204, 104435, 103672, 109793, 22398, 36785, 1811, 110904, 25129, 15682, 103633, 120389, 9174, 1049, 22, 8107, 103350, 110226, 17701, 16556, 16995, 126145, 3922, 79596, 29295, 16780, 103633, 120389, 3922, 8445, 46, 29295, 12994, 103633, 120389, 3922, 112167, 101275, 34048, 104542, 16144, 20251, 103830, 29295, 9870, 103633, 120389, 19732, 106307, 47884, 1811, 102433, 105755, 50021, 75267, 29295, 126574, 104468, 3922, 48915, 34048, 55031, 107420, 111661, 26269, 102895, 96452, 114615, 114435, 116388, 34048, 30512, 104394, 47884, 126465, 29295, 127181, 55031, 108995, 9174, 51330, 111629, 15682, 58426, 117591, 103672, 109793, 22398, 105494, 103378, 30512, 70563, 48552, 122060, 15024, 3922, 124108, 105494, 10110, 110698, 58318, 7705, 19732, 57106, 96455, 30512, 125261, 56051, 102944, 36785, 1811, 112167, 101275, 20251, 103830, 29295, 15120, 87217, 103672, 109793, 22398, 96455, 29295, 45736, 47884, 3922, 106307, 102532, 91482, 76428, 102750, 22398, 98897, 55723, 3922, 79596, 19732, 106307, 47884, 9174, 85701, 15682, 77693, 120577, 107734, 107430, 29295, 67645, 120950, 106613, 100783, 107, 16556, 17701, 61337, 56051, 32149, 30512, 21405, 17663, 111134, 52591, 1811, 32335, 32977, 127181, 112973, 79596, 17792, 101171, 230, 10110, 90962, 111999, 76428, 49372, 106307, 102532, 102832, 109482, 68581, 11972, 17792, 101171, 230, 10110, 44971, 105404, 7705, 36785, 1811, 73361, 29504, 102083, 58942, 67645, 32977, 48915, 34048, 55031, 114435, 116388, 34048, 30512, 25132, 229, 11883, 54926, 126465, 15682, 83747, 103470, 3922, 17792, 101171, 230, 125001, 111201, 27384, 102769, 32149, 29295, 111629, 29430, 33208, 84389, 100481, 38144, 109834, 103868, 102987, 16995, 1811, 126738, 79596, 107430, 16556, 3922, 79596, 126362, 29295, 1419, 4, 101182, 104468, 25580, 107430, 79596, 117758, 126362, 102677, 115552, 16144, 101200, 36785, 9174, 114626, 20230, 104774, 65299, 108506, 11972, 10110, 109832, 101275, 30046, 7705, 30512, 21418, 102334, 3922, 48915, 34048, 55031, 25132, 229, 11883, 103646, 114435, 116388, 34048, 29295, 67645, 16144, 120264, 16144, 108156, 29430, 122908, 39880, 30512, 58318, 58942, 110071, 32149, 10110, 103350, 108156, 19732, 71634, 48552, 90962, 57326, 104272, 30512, 30591, 110027, 28713, 122908, 39880, 7705, 30512, 30591, 33503, 78183, 56051, 111134, 52591, 30512, 126362, 119607, 1811, 127919, 16995, 112193, 11972, 15682, 43514, 107106, 67645, 109432, 112603, 16144, 107707, 119526, 3922, 116213, 16995, 112193, 11972, 15682, 83687, 17905, 16144, 115274, 112603, 30512, 30591, 33503, 78183, 103792, 1811, 79596, 16556, 103664, 20, 71082, 8445, 46, 16556, 16, 12, 17, 13, 20, 71082, 114950, 16144, 116388, 34048, 29295, 16, 4, 102083, 100472, 110229, 29295, 50021, 75267, 16144, 101200, 36785, 9174, 102433, 105755, 102832, 109482, 68581, 11972, 109832, 101275, 16144, 101037, 96, 102831, 29295, 103167, 16995, 10110, 103087, 35330, 71289, 17792, 103234, 123160, 106613, 112167, 103087, 39084, 30512, 48915, 34048, 104873, 104067, 15024, 126172, 16995, 7705, 73361, 29504, 119526, 109846, 3922, 37271, 123470, 102433, 102832, 109482, 68581, 115247, 115303, 118821, 30832, 51385, 30512, 53283, 30369, 17905, 16556, 111828, 30358, 26854, 108134, 39084, 103351, 105879, 77219, 20230, 107726, 100481, 90620, 102334, 9174, 7741, 231, 105635, 25904, 1811, 48154, 89046, 117139, 104309, 33334, 95221, 117355, 20230, 104405, 108422, 1811, 720, 33710, 107610, 22398, 61337, 25904, 39880, 71493, 65299, 52414, 15682, 117896, 38641, 1811, 220, 128001, 128000, 7511, 40, 5746, 1322, 113545, 29220, 78683, 115145, 60868, 121057, 198, 40, 5746, 1322, 220, 22, 220, 77181, 5486, 57326, 77750, 32131, 101198, 94550, 117501, 105352, 102924, 60632, 26854, 122489, 19732, 121432, 116155, 115991, 33541, 9174, 119869, 20230, 118146, 73686, 47884, 104468, 5486, 23039, 122532, 16144, 52563, 123253, 1811, 66953, 78767, 78205, 16073, 22, 220, 77181, 5486, 107420, 57207, 78767, 68581, 116294, 102860, 65299, 105352, 47260, 68759, 102860, 116294, 102860, 65299, 105352, 23039, 122532, 29295, 52563, 84389, 33541, 1811, 102832, 38248, 115, 48552, 26854, 121432, 119627, 5486, 101544, 16995, 107420, 57207, 78767, 68581, 71289, 123259, 114172, 117824, 100472, 31431, 37507, 115926, 54926, 110018, 102052, 5486, 103129, 117295, 121432, 38641, 9174, 110241, 5486, 23039, 122532, 29295, 52563, 84389, 100604, 110018, 15682, 106116, 43511, 39850, 78683, 109496, 83354 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30512, 37656, 106624, 91774, 110993, 109315, 124122, 76771, 97, 10110, 15682, 107277, 7705, 30512, 78519, 35894, 16144, 117591, 102416, 110162, 32149, 102639, 38144, 5486, 107531, 19732, 37656, 104577, 30512, 47523, 17599, 112, 54926, 115865, 103605, 16144, 83799, 103306, 41766, 250, 35894, 16144, 26854, 111201, 108618, 109768, 100472, 102677, 112973, 111476, 104603, 37823, 114741, 101365, 87177, 122692, 220, 38144, 25827, 102802, 25827, 103605, 19732, 127173, 104028, 115865, 103605, 16144, 118789, 109904, 68171, 37507, 103195, 19732, 113727, 110071, 100909, 108176, 16144, 38641, 9174, 33671, 18904, 77219, 5232, 30813, 27929, 31431, 103605, 16144, 104603, 37823, 114741, 101365, 87177, 122692, 68171, 37507, 107118, 11571, 101365, 16144, 110456, 65854, 119012, 60868, 102741, 37823, 19732, 109098, 17792, 118028, 110191, 19732, 9953, 16144, 58850, 101365, 107908, 57933, 101198, 117718, 111943, 16144, 53953, 102158, 198, 97518, 89046, 77219, 29411, 38144, 25827, 102802, 25827, 103605, 16144, 78519, 16144, 120613, 16144, 68171, 37507, 107118, 11571, 13177, 36827, 14191, 97, 16144, 41920, 118821, 9444, 123, 118587, 47523, 17599, 112, 54926, 41920, 118821, 78519, 19732, 127960, 55031, 91774, 105262, 110164, 121040, 32335, 102491, 16144, 78519, 198, 25580, 18904, 77219, 29411, 33334, 19732, 62004, 103605, 16144, 104603, 37823, 114741, 101365, 87177, 122692, 68171, 37507, 107118, 11571, 119515, 33354, 96, 16144, 58850, 101365, 68408, 39850, 113834, 16144, 107571, 116446, 13828, 98, 98220, 16144, 101538, 102040, 68408, 117718, 109297, 107173, 26854, 100472, 99695, 33710, 64810, 89154, 102750, 16144, 53953, 102158, 45631, 104966, 122411, 117503, 116731, 103621, 102540, 102416, 198, 13177, 106711, 87177, 117503, 116731, 103621, 102540, 102416, 128001, 128000, 14711, 220, 17, 111299, 56965, 16556, 1490, 7501, 55031, 5958, 11, 16, 7501, 102416, 198, 90115, 9174, 104662, 39926, 126521, 124863, 68759, 102750, 30512, 21105, 103, 16995, 104127, 111654, 102800, 116233, 29295, 5486, 103672, 29220, 15682, 101402, 31431, 120195, 29295, 33014, 104873, 16937, 103424, 112028, 63212, 103195, 103846, 114318, 31431, 30591, 58942, 101860, 121854, 111101, 26854, 110095, 117201, 124807, 76739, 67075, 127145, 9174, 122582, 110382, 9039, 9080, 5486, 124807, 76739, 67075, 77219, 30512, 104356, 20230, 102181, 119188, 105879, 5486, 78183, 32149, 104533, 91763, 61689, 9174, 9039, 8107, 25580, 105352, 102181, 50834, 79721, 29295, 5486, 124807, 76739, 67075, 30512, 19653, 124545, 104468, 114640, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 9174, 77693, 30512, 109205, 69978, 108608, 32149, 104405, 32149, 38641, 9174, 80539, 109205, 69978, 54926, 124122, 46034, 38574, 16144, 115303, 59739, 29295, 5486, 43240, 119064, 107707, 30832, 20230, 45114, 240, 17663, 100909, 38641, 9174, 19732, 112844, 113334, 16556, 5486, 103672, 29220, 16144, 110382, 17, 111299, 56965, 108680, 16144, 33014, 30358, 16144, 84851, 60634, 30512, 107121, 72342, 33541, 9174, 96356, 101544, 15682, 11128, 6358, 38641, 9174, 20, 9953, 17297, 6079, 105, 20230, 103664, 1490, 7501, 105693, 33014, 30358, 29295, 21, 9953, 1032, 9080, 39177, 28542, 16556, 5958, 13, 16, 7501, 9174, 75146, 17920, 236, 31640, 118835, 116749, 20230, 124981, 38248, 255, 94550, 32149, 113909, 104603, 94550, 16556, 32335, 103167, 2636, 74, 5531, 30512, 33420, 106382, 15024, 5486, 16, 9080, 30591, 28713, 111331, 102456, 30926, 3484, 28359, 102718, 74, 5531, 20230, 126128, 107290, 61689, 9174, 30591, 107118, 104328, 28713, 17663, 33503, 163, 65620, 108602, 115320, 42506, 10110, 108270, 42634, 71493, 42634, 102540, 7705, 16556, 112624, 113351, 121894, 9174, 26854, 105879, 127359, 102750, 21105, 94, 101668, 99959, 39850, 38641, 9174, 103672, 29220, 15682, 2031, 7501, 30512, 102769, 30369, 17129, 77181, 110371, 99695, 61398, 16556, 23039, 47884, 59739, 123731, 119627, 9174, 26854, 20230, 72342, 5486, 96356, 29295, 30358, 16995, 106592, 103350, 99750, 103082, 5486, 104930, 66953, 30813, 30512, 103350, 99750, 103792, 55031, 38641, 9174, 17039, 106222, 17792, 40265, 39177, 15682, 112361, 96356, 101544, 16556, 5538, 7501, 16556, 56051, 1811, 110924, 29295, 102012, 110993, 30832, 105888, 38641, 9174, 14711, 37922, 82, 198, 124981, 38248, 255, 94550, 16556, 33420, 106382, 108608, 71493, 42634, 102540, 102052, 122282, 41007, 107407, 102131, 38641, 9174, 45975, 82, 19732, 105324, 102802, 33541, 9174, 51330, 45975, 82, 104088, 100934, 19732, 5486, 120065, 102769, 123733, 31431, 33541, 101832, 9174, 33014, 30358, 2031, 7501, 16144, 114754, 16, 82973, 124981, 38248, 255, 94550, 120837, 103664, 3101, 74, 5531, 67016, 33420, 106382, 84389, 107515, 9174, 113909, 104603, 94550, 105110, 19633, 74, 5531, 9174, 16, 82973, 16144, 124981, 38248, 255, 94550, 71289, 113909, 104603, 94550, 76947, 5486, 102971, 106391, 27384, 104721, 38641, 123794, 9174, 102456, 30926, 16556, 2636, 74, 5531, 114485, 33503, 17663, 24273, 29295, 71493, 114483, 16073, 9174, 109860, 5486, 103672, 29220, 15682, 121854, 111101, 26854, 102456, 30926, 44416, 48249, 30512, 127145, 5486, 40265, 28190, 9174, 30813, 17663, 29295, 20230, 106649, 117232, 16556, 22, 7501, 32977, 71289, 72342, 104533, 5486, 105564, 47884, 112973, 119539, 20230, 112391, 33541, 101832, 9174, 90620, 15024, 30832, 105888, 15682, 30591, 19732, 605, 7501, 32977, 57903, 33541, 9174, 120550, 104533, 5486, 102456, 30926, 44416, 48249, 103378, 77181, 62903, 103223, 16995, 38641, 9174, 109860, 5486, 75146, 17920, 236, 31640, 118835, 29295, 119448, 47884, 109020, 105933, 111006, 19967, 31431, 5486, 59739, 109709, 5486, 119049, 107079, 16144, 127181, 111006, 126694, 30369, 113334, 38641, 9174, 117401, 16144, 113173, 15682, 108048, 37026, 33014, 16556, 71493, 42634, 102540, 30512, 33420, 106382, 54926, 115789, 57903, 33541, 29295, 5486, 71493, 42634, 102540, 30512, 33420, 106382, 15024, 126172, 16995, 111006, 126694, 30369, 105908, 36668, 113173, 38641, 9174, 605, 55038, 16144, 101513, 109472, 16144, 117591, 16144, 16, 55038, 29295, 104604, 108502, 54926, 105184, 96455, 126036, 5486, 1041, 55038, 16144, 101513, 109472, 16144, 117591, 16144, 16, 55038, 29295, 104604, 108502, 54926, 24273, 29295, 105184, 96455, 15682, 126574, 38641, 9174, 114516, 29295, 101402, 30369, 102677, 47260, 20251, 15682, 104398, 112506, 29295, 115079, 58942, 104533, 112844, 100909, 9174, 59739, 109709, 5486, 101513, 109472, 16144, 55038, 9039, 29295, 115079, 105262, 116233, 9174, 26854, 105879, 106116, 16325, 16144, 16, 55038, 29295, 104604, 108502, 54926, 105184, 96455, 5486, 104398, 112506, 29295, 103429, 95221, 108176, 105184, 96455, 15682, 115442, 31431, 33541, 9174, 119049, 107079, 29295, 127181, 116537, 33014, 30358, 15682, 30358, 47884, 111243, 48915, 114181, 15682, 71289, 72342, 127280, 9174, 121496, 57942, 103, 29295, 127181, 116537, 112361, 33014, 30358, 72661, 48915, 114181, 15682, 101402, 76947, 61689, 1811, 104398, 112506, 29295, 127181, 116233, 9174, 109860, 5486, 103429, 95221, 16144, 125396, 32977, 45736, 47884, 109020, 9174, 103188, 27479, 16144, 124807, 76739, 67075, 16556, 33014, 104873, 30512, 103553, 102, 17663, 19732, 115552, 15682, 43568, 16995, 119627, 5486, 103429, 95221, 16144, 106592, 113727, 104984, 5486, 103572, 38574, 55031, 33014, 121496, 57942, 103, 30512, 114485, 33503, 39926, 33334, 47884, 104468, 126521, 100909, 105321, 38641, 57980, 1811, 128001, 128000, 2, 121158, 29504, 102832, 109482, 68581, 11972, 114435, 16144, 79596, 14, 8445, 46, 14, 1182, 46, 115274, 110698, 58318, 71289, 110794, 108156, 57106, 96455, 104309, 198, 109834, 103868, 102987, 16995, 119526, 29295, 125053, 103646, 105879, 126362, 56051, 16995, 9174, 53477, 1195, 71, 1604, 3922, 20027, 58818, 5, 56, 1656, 69, 3922, 41, 2056, 677, 531, 10016, 18, 61337, 119046, 16556, 3922, 1049, 22, 8107, 19732, 1049, 23, 116358, 73361, 29504, 102832, 109482, 68581, 11972, 114435, 16144, 103350, 107328, 30512, 104873, 112984, 56051, 102944, 36785, 1811, 103359, 47523, 114435, 15682, 17590, 61337, 126370, 73361, 102208, 119208, 16144, 102832, 109482, 68581, 11972, 114435, 30512, 105550, 108327, 103792, 9174, 77181, 3922, 126843, 104873, 112984, 103359, 47523, 16144, 114435, 80356, 55031, 9174, 80539, 123532, 101275, 102351, 106045, 54872, 15682, 508, 13372, 88852, 29295, 32335, 43240, 16556, 7322, 61337, 10110, 1958, 4, 75376, 19732, 47884, 20230, 118823, 39276, 16144, 107803, 3922, 25904, 16556, 3484, 28359, 95598, 17792, 104309, 121602, 47884, 108680, 83747, 100604, 123717, 37729, 16556, 90962, 99695, 44971, 38248, 115, 78205, 16073, 103792, 105908, 127181, 9174, 105525, 17905, 106045, 54872, 103306, 15682, 20, 102718, 32307, 120389, 88852, 29295, 6860, 61337, 10110, 3174, 4, 7705, 19732, 121819, 105987, 112535, 127181, 9174, 91482, 76428, 102750, 22398, 76739, 104612, 103306, 15682, 102741, 112508, 111234, 39880, 122401, 29295, 103664, 103268, 9039, 16144, 2491, 71082, 118597, 29295, 605, 4, 104309, 964, 39276, 29295, 43240, 47884, 30512, 108928, 62004, 100934, 105908, 78183, 117295, 1811, 9039, 16556, 95604, 19732, 3922, 102832, 109482, 68581, 11972, 284, 8871, 39276, 102677, 111629, 29430, 29295, 102717, 109416, 13153, 31431, 80195, 103836, 101200, 36785, 9174, 80539, 110382, 55031, 51330, 104873, 112984, 16144, 26130, 30832, 17663, 125231, 110229, 9174, 107167, 48552, 112990, 26955, 94, 27384, 54926, 105879, 116696, 48552, 39926, 102717, 102800, 113637, 111629, 15682, 102832, 109482, 68581, 11972, 122692, 89154, 76428, 104272, 48154, 110792, 115274, 110226, 17701, 30512, 30591, 33503, 78183, 103792, 1811, 90962, 111999, 76428, 39276, 29295, 1049, 22, 110895, 3922, 41758, 102540, 16073, 39276, 29295, 1049, 23, 110895, 119526, 16556, 104295, 87217, 127919, 16995, 105494, 15682, 110698, 58318, 3922, 116213, 16995, 105494, 29295, 103672, 109793, 22398, 36785, 1811, 103672, 109793, 22398, 109853, 26130, 61304, 112990, 3922, 1049, 22, 8107, 17620, 15682, 41920, 59739, 20230, 17620, 32149, 106824, 108086, 3922, 17297, 55031, 13153, 28873, 30512, 104067, 13153, 39926, 103350, 104983, 109156, 100472, 103672, 109793, 22398, 127658, 112028, 87217, 116213, 16995, 105494, 15682, 112366, 13153, 28873, 30512, 104067, 13153, 112990, 50928, 102204, 101732, 102944, 109846, 1049, 22, 110895, 15682, 39442, 104067, 16144, 103846, 50928, 102204, 104435, 103672, 109793, 22398, 36785, 1811, 110904, 25129, 15682, 103633, 120389, 9174, 1049, 22, 8107, 103350, 110226, 17701, 16556, 16995, 126145, 3922, 79596, 29295, 16780, 103633, 120389, 3922, 8445, 46, 29295, 12994, 103633, 120389, 3922, 112167, 101275, 34048, 104542, 16144, 20251, 103830, 29295, 9870, 103633, 120389, 19732, 106307, 47884, 1811, 102433, 105755, 50021, 75267, 29295, 126574, 104468, 3922, 48915, 34048, 55031, 107420, 111661, 26269, 102895, 96452, 114615, 114435, 116388, 34048, 30512, 104394, 47884, 126465, 29295, 127181, 55031, 108995, 9174, 51330, 111629, 15682, 58426, 117591, 103672, 109793, 22398, 105494, 103378, 30512, 70563, 48552, 122060, 15024, 3922, 124108, 105494, 10110, 110698, 58318, 7705, 19732, 57106, 96455, 30512, 125261, 56051, 102944, 36785, 1811, 112167, 101275, 20251, 103830, 29295, 15120, 87217, 103672, 109793, 22398, 96455, 29295, 45736, 47884, 3922, 106307, 102532, 91482, 76428, 102750, 22398, 98897, 55723, 3922, 79596, 19732, 106307, 47884, 9174, 85701, 15682, 77693, 120577, 107734, 107430, 29295, 67645, 120950, 106613, 100783, 107, 16556, 17701, 61337, 56051, 32149, 30512, 21405, 17663, 111134, 52591, 1811, 32335, 32977, 127181, 112973, 79596, 17792, 101171, 230, 10110, 90962, 111999, 76428, 49372, 106307, 102532, 102832, 109482, 68581, 11972, 17792, 101171, 230, 10110, 44971, 105404, 7705, 36785, 1811, 73361, 29504, 102083, 58942, 67645, 32977, 48915, 34048, 55031, 114435, 116388, 34048, 30512, 25132, 229, 11883, 54926, 126465, 15682, 83747, 103470, 3922, 17792, 101171, 230, 125001, 111201, 27384, 102769, 32149, 29295, 111629, 29430, 33208, 84389, 100481, 38144, 109834, 103868, 102987, 16995, 1811, 126738, 79596, 107430, 16556, 3922, 79596, 126362, 29295, 1419, 4, 101182, 104468, 25580, 107430, 79596, 117758, 126362, 102677, 115552, 16144, 101200, 36785, 9174, 114626, 20230, 104774, 65299, 108506, 11972, 10110, 109832, 101275, 30046, 7705, 30512, 21418, 102334, 3922, 48915, 34048, 55031, 25132, 229, 11883, 103646, 114435, 116388, 34048, 29295, 67645, 16144, 120264, 16144, 108156, 29430, 122908, 39880, 30512, 58318, 58942, 110071, 32149, 10110, 103350, 108156, 19732, 71634, 48552, 90962, 57326, 104272, 30512, 30591, 110027, 28713, 122908, 39880, 7705, 30512, 30591, 33503, 78183, 56051, 111134, 52591, 30512, 126362, 119607, 1811, 127919, 16995, 112193, 11972, 15682, 43514, 107106, 67645, 109432, 112603, 16144, 107707, 119526, 3922, 116213, 16995, 112193, 11972, 15682, 83687, 17905, 16144, 115274, 112603, 30512, 30591, 33503, 78183, 103792, 1811, 79596, 16556, 103664, 20, 71082, 8445, 46, 16556, 16, 12, 17, 13, 20, 71082, 114950, 16144, 116388, 34048, 29295, 16, 4, 102083, 100472, 110229, 29295, 50021, 75267, 16144, 101200, 36785, 9174, 102433, 105755, 102832, 109482, 68581, 11972, 109832, 101275, 16144, 101037, 96, 102831, 29295, 103167, 16995, 10110, 103087, 35330, 71289, 17792, 103234, 123160, 106613, 112167, 103087, 39084, 30512, 48915, 34048, 104873, 104067, 15024, 126172, 16995, 7705, 73361, 29504, 119526, 109846, 3922, 37271, 123470, 102433, 102832, 109482, 68581, 115247, 115303, 118821, 30832, 51385, 30512, 53283, 30369, 17905, 16556, 111828, 30358, 26854, 108134, 39084, 103351, 105879, 77219, 20230, 107726, 100481, 90620, 102334, 9174, 7741, 231, 105635, 25904, 1811, 48154, 89046, 117139, 104309, 33334, 95221, 117355, 20230, 104405, 108422, 1811, 720, 33710, 107610, 22398, 61337, 25904, 39880, 71493, 65299, 52414, 15682, 117896, 38641, 1811, 220, 128001, 128000, 7511, 40, 5746, 1322, 113545, 29220, 78683, 115145, 60868, 121057, 198, 40, 5746, 1322, 220, 22, 220, 77181, 5486, 57326, 77750, 32131, 101198, 94550, 117501, 105352, 102924, 60632, 26854, 122489, 19732, 121432, 116155, 115991, 33541, 9174, 119869, 20230, 118146, 73686, 47884, 104468, 5486, 23039, 122532, 16144, 52563, 123253, 1811, 66953, 78767, 78205, 16073, 22, 220, 77181, 5486, 107420, 57207, 78767, 68581, 116294, 102860, 65299, 105352, 47260, 68759, 102860, 116294, 102860, 65299, 105352, 23039, 122532, 29295, 52563, 84389, 33541, 1811, 102832, 38248, 115, 48552, 26854, 121432, 119627, 5486, 101544, 16995, 107420, 57207, 78767, 68581, 71289, 123259, 114172, 117824, 100472, 31431, 37507, 115926, 54926, 110018, 102052, 5486, 103129, 117295, 121432, 38641, 9174, 110241, 5486, 23039, 122532, 29295, 52563, 84389, 100604, 110018, 15682, 106116, 43511, 39850, 78683, 109496, 83354 ]
[ 114950, 16144, 116700, 95371, 121507, 15024, 36896, 114950, 16144, 116700, 10646, 124807, 39880, 77750, 125523, 50834, 33541, 1811, 78659, 110366, 16144, 124766, 16556, 13177, 57933, 62903, 71634, 104817, 43167, 118587, 121507, 15024, 36896, 76739, 103857, 47307, 41190, 117503, 47307, 52884, 16144, 13177, 23039, 122532, 30512, 52563, 118587, 110191, 116446, 72315, 9174, 107420, 57207, 78767, 68581, 116294, 102860, 65299, 17905, 34048, 20230, 17039, 28713, 20230, 86867, 103646, 96452, 91482, 105621, 38248, 115, 78205, 127058, 77181, 5486, 107420, 57207, 78767, 68581, 16325, 16556, 107322, 78244, 103646, 90962, 52884, 109531, 110548, 320, 97518, 9039, 127359, 110305, 5486, 39850, 78683, 109496, 5486, 23187, 9039, 71289, 106391, 67178, 33014, 104309, 8, 97718, 124766, 29295, 52563, 107001, 101200, 115717, 79721, 1811, 114140, 56051, 16995, 107507, 101198, 94550, 16556, 107322, 78244, 110731, 116245, 103296, 106901, 108969, 54926, 105908, 88367, 38641, 9174, 53900, 5486, 107420, 57207, 78767, 68581, 116294, 102860, 65299, 5486, 108768, 33710, 57326, 116294, 102860, 65299, 5486, 101335, 84477, 52884, 48552, 116294, 102860, 65299, 16556, 111800, 52084, 320, 104817, 43167, 39850, 78683, 109496, 83354, 111800, 52084, 8, 95371, 103350, 23039, 112990, 5486, 96452, 91482, 105621, 38248, 115, 78205, 127058, 16144, 17297, 20230, 111800, 52084, 110590, 29295, 52563, 84389, 33541, 1811, 111800, 52084, 103672, 107840, 20230, 88435, 32218, 30512, 17701, 48634, 112990, 104612, 33710, 47307, 91062, 16556, 107461, 67075, 54926, 105494, 29295, 126507, 119744, 84389, 33541, 9174, 57207, 114483, 107840, 71493, 109554, 15682, 5486, 47260, 68759, 102860, 116294, 102860, 65299, 320, 123259, 114172, 76739, 104612, 19732, 47260, 68759, 102860, 118372, 16144, 110176, 24273, 8, 220, 105352, 126543, 84389, 33541, 1811, 47260, 68759, 102860, 118372, 111363, 17701, 48634, 39177, 105352, 104612, 33710, 107507, 91062, 16556, 71493, 109554, 29295, 95543, 106482, 84389, 33541, 105879, 5486, 97518, 9039, 123160, 17701, 48634, 101198, 22398, 30512, 103181, 104699, 105908, 125545, 9174, 57207, 114483, 107840, 71493, 109554, 16144, 116718, 15682, 106116, 43511, 39850, 78683, 109496, 83354, 114950, 16144, 116700, 95371, 121507, 39926, 36896, 114950, 16144, 116700, 10646, 124807, 39880, 77750, 125523, 50834, 36896, 57933, 62903, 71634, 104817, 43167, 117503, 13177, 71493, 109554, 117503, 47307, 52884, 16556, 116718, 20230, 116700, 54926, 115789, 125545, 9174, 57326, 77750, 32131, 101198, 94550, 117501, 113115, 39926, 115847, 103296, 31634, 103192, 29295, 43240, 102518, 198, 16144, 220, 17, 28542, 15682, 51330, 66953, 78767, 78205, 16073, 16556, 117271, 84389, 79721, 118844, 103296, 220, 3443, 88435, 29295, 17905, 48249, 103351, 16, 23039, 40265, 28713, 111331, 17701, 48634, 88435, 32218, 15682, 5486, 1041, 15, 88435, 103296, 26955, 94, 27384, 116216, 61689, 118855, 5486, 35757, 61304, 18476, 96555, 66953, 107840, 32131, 116219, 320, 82193, 8, 108911, 23039, 120321, 106307, 88435, 103306, 107740, 108608, 101200, 115717, 79721, 1811, 33671, 16144, 108152, 38248, 114, 97518, 9039, 77181, 5486, 20834, 48634, 54926, 88435, 32218, 30512, 17, 23039, 20230, 17620, 107441, 88435, 32218, 104721, 9039, 496, 106004, 111017, 31431, 40265, 38144, 127280, 9174, 5263, 17146, 7228, 37239, 4090, 368, 935, 610, 284, 330, 791, 63897, 25, 330, 72588, 489, 330, 64763, 49397, 24860, 41, 735, 11237, 9173, 393, 71692, 30136, 54, 16760, 1901, 1, 8377, 610, 4060, 198, 47260, 68759, 102860, 118372, 16556, 198, 2519, 37239, 4090, 368, 112031, 17701, 48634, 39926, 103350, 23039, 112990, 5486, 17, 23039, 20230, 17620, 32149, 103468, 111017, 31431, 40265, 38144, 29295, 103350, 23039, 116216, 5486, 16, 23039, 16144, 57933, 62903, 71634, 103306, 112603, 29295, 104196, 84389, 33541, 9174, 40, 5746, 1322, 97718, 68408, 66953, 26269, 102472, 77181, 5486, 106391, 67178, 33014, 71289, 43240, 33671, 24186, 111234, 109229, 16144, 52563, 29295, 88367, 115717, 79721, 9174, 43240, 119064, 41190, 97518, 9039, 19732, 97518, 9039, 29295, 116155, 101182, 16995, 15682, 23226, 103424, 116216, 61689, 109807, 124766, 116718, 15682, 103283, 61304, 20230, 92148, 110, 31431, 33541, 29295, 5486, 110382, 77181, 17039, 106045, 20230, 116155, 103646, 41190, 97518, 9039, 9458, 97518, 9039, 30512, 16995, 47884, 59739, 32149, 70563, 48552, 122060, 39926, 48154, 126362, 78434, 9174, 124766, 30512, 57933, 62903, 71634, 111234, 109229, 20230, 104721, 109033, 54926, 97518, 9039, 38641, 1811, 124766, 107118, 26128, 26, 29093, 68336, 3043, 26, 97718, 104466, 119526, 31634, 72238, 320, 28233, 11, 98226, 11, 98769, 8, 95371, 24775, 125174, 88435, 320, 110382, 77181, 64810, 101198, 47260, 125933, 2652, 883, 113699, 102971, 40862, 56051, 115707, 16144, 119526, 16556, 5486, 111234, 109229, 124766, 5486, 116294, 102860, 65299, 124766, 102083, 100472, 83799, 16556, 5486, 40, 5746, 1322, 110096, 34048, 77181, 120955, 78434, 1811, 40, 5746, 1322, 220, 102052, 121771, 115867, 71493, 32131, 111073, 121294, 29295, 107740, 125545, 29295, 106116, 124720, 30512, 57933, 62903, 71634, 124766, 103306, 20834, 48634, 54926, 356, 8750, 861, 368, 220, 102677, 97518, 9039, 30512, 103350, 23039, 39926, 64121, 33541, 9174, 71493, 32131, 111073, 109229, 114615, 31091, 29295, 124766, 16144, 115707, 16556, 20834, 48634, 84389, 33541, 118844, 30512, 111234, 109229, 103306, 121247, 30297, 102052, 110371, 124766, 30512, 16, 59739, 101860, 59739, 24775, 125174, 88435, 320, 64810, 101198, 47260, 125933, 2652, 883, 220, 48154, 19732, 20230, 115181, 54926, 33710, 107610, 30512, 18904, 17663, 109215, 115991, 79721, 29295, 5486, 861, 1271, 1199, 52782, 6704, 37648, 97518, 9039, 124905, 100472, 97518, 9039, 126694, 13153, 112990, 5486, 112825, 110904, 20230, 115181, 54926, 105908, 125545, 9174, 5263, 2175, 1668, 2620, 861, 368, 32418, 17146, 4483, 284, 1796, 1271, 1199, 52782, 7, 1182, 370, 861, 1535, 19500, 909, 72171, 17991, 4483, 11, 3562, 2620, 861, 8505, 3562, 2620, 861, 4060, 198, 126738, 5486, 35, 360, 8630, 41190, 97518, 9039, 16556, 4483, 220, 102677, 111234, 109229, 30512, 3562, 2620, 861, 111234, 109229, 20230, 109242, 105107, 103792, 104468, 5486, 861, 1271, 1199, 52782, 41190, 97518, 9039, 29295, 52591, 37823, 38248, 99, 78349, 109229, 30512, 104196, 17663, 106548, 103826, 101983, 103836, 103846, 38641, 9174, 111234, 109229, 107809, 20230, 116880, 54926, 112603, 107407, 110018, 20230, 108048, 30512, 108167, 21418, 47884, 41007, 101182, 16995, 15682, 116880, 54926, 112603, 103378, 30512, 108167, 121406, 102052, 123334, 15682, 31431, 5486, 31374, 248, 74245, 20230, 33710, 107610, 30512, 18904, 17663, 109215, 115991, 79721, 1811, 66953, 78767, 78205, 16073, 22, 113699, 116155, 103646, 7531, 77951, 41190, 97518, 9039, 124905, 30297, 19732, 5486, 116880, 54926, 112603, 103378, 108167, 118158, 31431, 47325, 32364, 52591, 32131, 41758, 8, 101511, 116880, 54926, 112603, 30512, 108167, 21418, 102334, 31431, 47325, 51295, 52591, 32131, 41758, 8, 220, 104309, 5486, 112825, 110904, 20230, 103350, 102321, 125545, 9174, 17905, 61304, 16144, 27452, 15682, 64531, 9039, 112603, 103378, 30512, 121247, 76947, 61689, 29295, 120268, 9039, 16144, 107803, 102052, 112160, 105260, 16144, 110008, 37729, 27479, 30512, 109823, 54926, 100909, 47325, 51, 1971, 52591, 32131, 41758, 8, 121655, 107740, 125545, 9174, 17, 118821, 112603, 16144, 104364, 16144, 115924, 103359, 112603, 19732, 611, 51, 1971, 105026, 32131, 41758, 16556, 109823, 56051, 110008, 37729, 27479, 30512, 125261, 39926, 5486, 104364, 16144, 115924, 103359, 112603, 29295, 110008, 37729, 27479, 88852, 127303, 104984, 106116, 17, 118821, 112603, 15682, 116880, 109768, 104533, 122225, 84389, 33541, 9174, 17905, 61304, 16144, 27452, 77181, 5486, 16, 13, 15, 112031, 220, 16, 13, 16, 97718, 104364, 16144, 115924, 103359, 112603, 15682, 220, 15, 13, 16, 220, 38641, 105879, 220, 15, 13, 16, 108295, 116880, 19732, 64121, 26854, 84389, 21403, 232, 21418, 116216, 61689, 29295, 5486, 17, 13, 15, 112031, 220, 17, 13, 17, 97718, 104364, 16144, 115924, 103359, 112603, 15682, 220, 15, 13, 17, 220, 38641, 105879, 5486, 112603, 15682, 21403, 232, 21418, 84389, 100481, 107515, 9174, 9039, 112603, 111234, 109229, 121142, 103470, 5486, 57933, 62903, 71634, 111234, 109229, 16144, 117120, 22649, 32977, 88367, 38641, 15024, 5486, 116880, 54926, 112603, 30512, 66378, 23187, 16144, 112603, 16556, 22324, 50834, 109033, 105262, 117120, 22649, 32977, 88367, 38641, 1811, 119526, 16144, 25580, 117120, 22649, 20230, 108008, 20230, 102924, 60632, 26854, 97518, 9039, 118816, 78244, 58942, 33541, 9174, 17, 33671, 24186, 16144, 107461, 71634, 111134, 91062, 30512, 110240, 47884, 102052, 115847, 103296, 426, 56522, 83238, 220, 17, 110138, 26269, 102663, 78767, 30512, 103283, 108968, 42634, 65575, 39926, 119526, 30512, 117120, 22649, 54926, 109215, 115991, 79721, 29295, 5486, 66953, 78767, 78205, 16073, 22, 220, 77181, 5486, 17, 33671, 24186, 5486, 18, 33671, 24186, 5486, 19, 33671, 24186, 16144, 107461, 71634, 111134, 91062, 119526, 126694, 13153, 54926, 30833, 78310, 41190, 97518, 9039, 29295, 116155, 84389, 79721, 1811, 42097, 78310, 41190, 97518, 9039, 16144, 20834, 48634, 15682, 386, 10821, 787, 78310, 220, 102677, 111234, 109229, 115717, 33541, 105879, 5486, 25197, 126989, 107420, 67075, 54926, 121142, 5486, 17, 33671, 24186, 16144, 107461, 71634, 111134, 91062, 30512, 112825, 110904, 20230, 110240, 47884, 105908, 88367, 38641, 9174, 40, 5746, 1322, 220, 22, 220, 77181, 10293, 97718, 117501, 104721, 9039, 16144, 112603, 32977, 115181, 108608, 101200, 115717, 79721, 1811, 77750, 76171, 103792, 108152, 38248, 114, 13372, 71289, 15120, 39177, 108526, 33710, 99959, 16144, 31091, 30512, 126229, 56051, 16995, 107803, 102052, 102924, 60632, 38641, 9174, 9171, 2175, 13013, 7983, 446, 49443, 909, 356, 7338, 7283, 59, 24249, 96043, 59, 7469, 59, 12427, 8377, 2175, 13013, 7983, 446, 64616, 909, 9365, 8377, 2175, 13013, 7983, 446, 54, 5358, 2871, 909, 356, 7338, 76167, 198, 117501, 104721, 9039, 126694, 13153, 54926, 2638, 13013, 7983, 97518, 9039, 5486, 21403, 232, 21418, 54926, 1252, 751, 13013, 7983, 97518, 9039, 32977, 116155, 116216, 61689, 9174, 114626, 20230, 126362, 54926, 104468, 7531, 825, 414, 41190, 97518, 9039, 38641, 1811, 17, 33671, 24186, 68759, 122148, 29220, 22398, 111234, 109229, 55031, 5486, 109823, 56051, 44971, 102832, 114615, 50667, 112603, 101911, 30512, 110240, 47884, 1630, 111234, 109229, 320, 68408, 108526, 108958, 77181, 54, 7002, 825, 414, 8, 112031, 816, 111234, 109229, 320, 68408, 108526, 108958, 77181, 54, 10851, 825, 414, 8, 95371, 116602, 20834, 78434, 9174, 33671, 16144, 47260, 68759, 102860, 30512, 103350, 23039, 39926, 5486, 60868, 108969, 33710, 119526, 126694, 13153, 39926, 5486, 25197, 126989, 107420, 67075, 16556, 110240, 55723, 78434, 9174, 38, 64151, 124787, 30512, 17, 59739, 30358, 101832, 114146, 28713, 107420, 67075, 29295, 52563, 84389, 33541, 113637, 107420, 67075, 16556, 44971, 115882, 29295, 19, 106004, 50667, 102800, 28542, 30512, 116602, 20834, 54926, 102052, 111476, 10086, 825, 414, 828, 52782, 11, 19, 198, 19732, 103350, 23039, 78434, 1811, 54, 10851, 825, 414, 111707, 78349, 109229, 19732, 468, 7002, 825, 414, 111707, 78349, 109229, 29295, 47585, 107001, 105879, 115847, 30512, 107420, 67075, 20230, 116155, 78434, 9174, 24819, 1271, 11461, 17146, 468, 10851, 825, 414, 6296, 468, 7002, 825, 414, 198, 25197, 126989, 107420, 67075, 15682, 117032, 16144, 58419, 107420, 67075, 19732, 55, 19732, 56, 29295, 116900, 115717, 33541, 105879, 5486, 24819, 1271, 11461, 6704, 37648, 97518, 9039, 32977, 1630, 112031, 816, 95371, 125639, 109913, 105262, 5486, 14, 51, 105026, 32131, 41758, 30512, 109823, 127145, 1811, 128001, 128000, 14711, 220, 85701, 103296, 20230, 103664, 18, 32307, 107707, 111817, 104272, 40452, 101559, 29295, 45918, 243, 21990, 103792, 198, 123628, 122481, 77181, 5486, 111817, 104272, 40452, 101559, 106081, 111186, 16144, 127706, 96455, 16144, 84851, 60634, 5486, 105110, 102802, 20230, 71208, 58850, 103283, 9458, 112425, 103283, 9458, 106081, 111186, 30590, 103283, 16144, 127706, 96455, 109853, 48154, 126362, 121256, 29295, 5486, 110229, 16556, 5486, 127706, 96455, 29295, 605, 113127, 30512, 102769, 30369, 108680, 20230, 111108, 87844, 27479, 16144, 126574, 111817, 104272, 40452, 101559, 106081, 111186, 107118, 27929, 32977, 27929, 32977, 67645, 103171, 106081, 111186, 26854, 105879, 109954, 32149, 95532, 111817, 104272, 40452, 101559, 106081, 111186, 15682, 123334, 15682, 31431, 111817, 104272, 40452, 123863, 106444, 103087, 35083, 103195, 40452, 121101, 122474, 30046, 106081, 111186, 19732, 39177, 30512, 112361, 47884, 39926, 5486, 114565, 1032, 110895, 20230, 109832, 102332, 84389, 79721, 118844, 103296, 16144, 37087, 717, 18904, 16144, 106081, 111186, 16556, 5486, 103664, 1272, 32307, 17792, 102944, 17792, 105459, 29295, 101682, 111186, 15024, 5486, 103664, 18, 32307, 107707, 127706, 30046, 29295, 45918, 243, 21990, 127145, 1811, 91774, 24273, 30512, 104721, 58942, 104533, 115847, 103296, 20230, 28713, 100472, 18, 32307, 17792, 67016, 127706, 103082, 126386, 102677, 112973, 5486, 111817, 104272, 40452, 101559, 106081, 111186, 16144, 111108, 87844, 27479, 16144, 45736, 30813, 30512, 53953, 102158, 107462, 104533, 32977, 78244, 58942, 33541, 9174, 43514, 26854, 64121, 20230, 5486, 111817, 104272, 40452, 101559, 20230, 104409, 28713, 31091, 16144, 103087, 35083, 103306, 5486, 24775, 17620, 56438, 40452, 101559, 9458, 83812, 225, 110726, 16937, 91875, 106518, 40452, 101559, 9458, 83812, 225, 110726, 16937, 91875, 106518, 106613, 112167, 40452, 101559, 9458, 83812, 225, 110726, 126783, 40452, 101559, 104309, 115991, 33541, 29295, 115847, 33503, 15682, 122617, 70821, 56965, 103087, 35083, 109900, 113115, 39926, 111817, 104272, 40452, 101559, 15682, 29504, 74090, 109060, 66870, 29295, 36651, 15568, 226, 54926, 106444, 103087, 35083, 103195, 102083, 100472, 121953, 115991, 33541, 1811, 32977, 43514, 85791, 25827, 111108, 87844, 27479, 114556, 120837, 5486, 111817, 104272, 40452, 101559, 106081, 111186, 120332, 29295, 64889, 61994, 45736, 115737, 76947, 61689, 9174, 111817, 104272, 40452, 101559, 106081, 111186, 15682, 27452, 8107, 806, 9953, 16144, 124042, 9080, 110195, 117073, 35424, 123090, 17, 82973, 32149, 107441, 103350, 102923, 84389, 33541, 1811, 106081, 111186, 16144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 114950, 16144, 116700, 95371, 121507, 15024, 36896, 114950, 16144, 116700, 10646, 124807, 39880, 77750, 125523, 50834, 33541, 1811, 78659, 110366, 16144, 124766, 16556, 13177, 57933, 62903, 71634, 104817, 43167, 118587, 121507, 15024, 36896, 76739, 103857, 47307, 41190, 117503, 47307, 52884, 16144, 13177, 23039, 122532, 30512, 52563, 118587, 110191, 116446, 72315, 9174, 107420, 57207, 78767, 68581, 116294, 102860, 65299, 17905, 34048, 20230, 17039, 28713, 20230, 86867, 103646, 96452, 91482, 105621, 38248, 115, 78205, 127058, 77181, 5486, 107420, 57207, 78767, 68581, 16325, 16556, 107322, 78244, 103646, 90962, 52884, 109531, 110548, 320, 97518, 9039, 127359, 110305, 5486, 39850, 78683, 109496, 5486, 23187, 9039, 71289, 106391, 67178, 33014, 104309, 8, 97718, 124766, 29295, 52563, 107001, 101200, 115717, 79721, 1811, 114140, 56051, 16995, 107507, 101198, 94550, 16556, 107322, 78244, 110731, 116245, 103296, 106901, 108969, 54926, 105908, 88367, 38641, 9174, 53900, 5486, 107420, 57207, 78767, 68581, 116294, 102860, 65299, 5486, 108768, 33710, 57326, 116294, 102860, 65299, 5486, 101335, 84477, 52884, 48552, 116294, 102860, 65299, 16556, 111800, 52084, 320, 104817, 43167, 39850, 78683, 109496, 83354, 111800, 52084, 8, 95371, 103350, 23039, 112990, 5486, 96452, 91482, 105621, 38248, 115, 78205, 127058, 16144, 17297, 20230, 111800, 52084, 110590, 29295, 52563, 84389, 33541, 1811, 111800, 52084, 103672, 107840, 20230, 88435, 32218, 30512, 17701, 48634, 112990, 104612, 33710, 47307, 91062, 16556, 107461, 67075, 54926, 105494, 29295, 126507, 119744, 84389, 33541, 9174, 57207, 114483, 107840, 71493, 109554, 15682, 5486, 47260, 68759, 102860, 116294, 102860, 65299, 320, 123259, 114172, 76739, 104612, 19732, 47260, 68759, 102860, 118372, 16144, 110176, 24273, 8, 220, 105352, 126543, 84389, 33541, 1811, 47260, 68759, 102860, 118372, 111363, 17701, 48634, 39177, 105352, 104612, 33710, 107507, 91062, 16556, 71493, 109554, 29295, 95543, 106482, 84389, 33541, 105879, 5486, 97518, 9039, 123160, 17701, 48634, 101198, 22398, 30512, 103181, 104699, 105908, 125545, 9174, 57207, 114483, 107840, 71493, 109554, 16144, 116718, 15682, 106116, 43511, 39850, 78683, 109496, 83354, 114950, 16144, 116700, 95371, 121507, 39926, 36896, 114950, 16144, 116700, 10646, 124807, 39880, 77750, 125523, 50834, 36896, 57933, 62903, 71634, 104817, 43167, 117503, 13177, 71493, 109554, 117503, 47307, 52884, 16556, 116718, 20230, 116700, 54926, 115789, 125545, 9174, 57326, 77750, 32131, 101198, 94550, 117501, 113115, 39926, 115847, 103296, 31634, 103192, 29295, 43240, 102518, 198, 16144, 220, 17, 28542, 15682, 51330, 66953, 78767, 78205, 16073, 16556, 117271, 84389, 79721, 118844, 103296, 220, 3443, 88435, 29295, 17905, 48249, 103351, 16, 23039, 40265, 28713, 111331, 17701, 48634, 88435, 32218, 15682, 5486, 1041, 15, 88435, 103296, 26955, 94, 27384, 116216, 61689, 118855, 5486, 35757, 61304, 18476, 96555, 66953, 107840, 32131, 116219, 320, 82193, 8, 108911, 23039, 120321, 106307, 88435, 103306, 107740, 108608, 101200, 115717, 79721, 1811, 33671, 16144, 108152, 38248, 114, 97518, 9039, 77181, 5486, 20834, 48634, 54926, 88435, 32218, 30512, 17, 23039, 20230, 17620, 107441, 88435, 32218, 104721, 9039, 496, 106004, 111017, 31431, 40265, 38144, 127280, 9174, 5263, 17146, 7228, 37239, 4090, 368, 935, 610, 284, 330, 791, 63897, 25, 330, 72588, 489, 330, 64763, 49397, 24860, 41, 735, 11237, 9173, 393, 71692, 30136, 54, 16760, 1901, 1, 8377, 610, 4060, 198, 47260, 68759, 102860, 118372, 16556, 198, 2519, 37239, 4090, 368, 112031, 17701, 48634, 39926, 103350, 23039, 112990, 5486, 17, 23039, 20230, 17620, 32149, 103468, 111017, 31431, 40265, 38144, 29295, 103350, 23039, 116216, 5486, 16, 23039, 16144, 57933, 62903, 71634, 103306, 112603, 29295, 104196, 84389, 33541, 9174, 40, 5746, 1322, 97718, 68408, 66953, 26269, 102472, 77181, 5486, 106391, 67178, 33014, 71289, 43240, 33671, 24186, 111234, 109229, 16144, 52563, 29295, 88367, 115717, 79721, 9174, 43240, 119064, 41190, 97518, 9039, 19732, 97518, 9039, 29295, 116155, 101182, 16995, 15682, 23226, 103424, 116216, 61689, 109807, 124766, 116718, 15682, 103283, 61304, 20230, 92148, 110, 31431, 33541, 29295, 5486, 110382, 77181, 17039, 106045, 20230, 116155, 103646, 41190, 97518, 9039, 9458, 97518, 9039, 30512, 16995, 47884, 59739, 32149, 70563, 48552, 122060, 39926, 48154, 126362, 78434, 9174, 124766, 30512, 57933, 62903, 71634, 111234, 109229, 20230, 104721, 109033, 54926, 97518, 9039, 38641, 1811, 124766, 107118, 26128, 26, 29093, 68336, 3043, 26, 97718, 104466, 119526, 31634, 72238, 320, 28233, 11, 98226, 11, 98769, 8, 95371, 24775, 125174, 88435, 320, 110382, 77181, 64810, 101198, 47260, 125933, 2652, 883, 113699, 102971, 40862, 56051, 115707, 16144, 119526, 16556, 5486, 111234, 109229, 124766, 5486, 116294, 102860, 65299, 124766, 102083, 100472, 83799, 16556, 5486, 40, 5746, 1322, 110096, 34048, 77181, 120955, 78434, 1811, 40, 5746, 1322, 220, 102052, 121771, 115867, 71493, 32131, 111073, 121294, 29295, 107740, 125545, 29295, 106116, 124720, 30512, 57933, 62903, 71634, 124766, 103306, 20834, 48634, 54926, 356, 8750, 861, 368, 220, 102677, 97518, 9039, 30512, 103350, 23039, 39926, 64121, 33541, 9174, 71493, 32131, 111073, 109229, 114615, 31091, 29295, 124766, 16144, 115707, 16556, 20834, 48634, 84389, 33541, 118844, 30512, 111234, 109229, 103306, 121247, 30297, 102052, 110371, 124766, 30512, 16, 59739, 101860, 59739, 24775, 125174, 88435, 320, 64810, 101198, 47260, 125933, 2652, 883, 220, 48154, 19732, 20230, 115181, 54926, 33710, 107610, 30512, 18904, 17663, 109215, 115991, 79721, 29295, 5486, 861, 1271, 1199, 52782, 6704, 37648, 97518, 9039, 124905, 100472, 97518, 9039, 126694, 13153, 112990, 5486, 112825, 110904, 20230, 115181, 54926, 105908, 125545, 9174, 5263, 2175, 1668, 2620, 861, 368, 32418, 17146, 4483, 284, 1796, 1271, 1199, 52782, 7, 1182, 370, 861, 1535, 19500, 909, 72171, 17991, 4483, 11, 3562, 2620, 861, 8505, 3562, 2620, 861, 4060, 198, 126738, 5486, 35, 360, 8630, 41190, 97518, 9039, 16556, 4483, 220, 102677, 111234, 109229, 30512, 3562, 2620, 861, 111234, 109229, 20230, 109242, 105107, 103792, 104468, 5486, 861, 1271, 1199, 52782, 41190, 97518, 9039, 29295, 52591, 37823, 38248, 99, 78349, 109229, 30512, 104196, 17663, 106548, 103826, 101983, 103836, 103846, 38641, 9174, 111234, 109229, 107809, 20230, 116880, 54926, 112603, 107407, 110018, 20230, 108048, 30512, 108167, 21418, 47884, 41007, 101182, 16995, 15682, 116880, 54926, 112603, 103378, 30512, 108167, 121406, 102052, 123334, 15682, 31431, 5486, 31374, 248, 74245, 20230, 33710, 107610, 30512, 18904, 17663, 109215, 115991, 79721, 1811, 66953, 78767, 78205, 16073, 22, 113699, 116155, 103646, 7531, 77951, 41190, 97518, 9039, 124905, 30297, 19732, 5486, 116880, 54926, 112603, 103378, 108167, 118158, 31431, 47325, 32364, 52591, 32131, 41758, 8, 101511, 116880, 54926, 112603, 30512, 108167, 21418, 102334, 31431, 47325, 51295, 52591, 32131, 41758, 8, 220, 104309, 5486, 112825, 110904, 20230, 103350, 102321, 125545, 9174, 17905, 61304, 16144, 27452, 15682, 64531, 9039, 112603, 103378, 30512, 121247, 76947, 61689, 29295, 120268, 9039, 16144, 107803, 102052, 112160, 105260, 16144, 110008, 37729, 27479, 30512, 109823, 54926, 100909, 47325, 51, 1971, 52591, 32131, 41758, 8, 121655, 107740, 125545, 9174, 17, 118821, 112603, 16144, 104364, 16144, 115924, 103359, 112603, 19732, 611, 51, 1971, 105026, 32131, 41758, 16556, 109823, 56051, 110008, 37729, 27479, 30512, 125261, 39926, 5486, 104364, 16144, 115924, 103359, 112603, 29295, 110008, 37729, 27479, 88852, 127303, 104984, 106116, 17, 118821, 112603, 15682, 116880, 109768, 104533, 122225, 84389, 33541, 9174, 17905, 61304, 16144, 27452, 77181, 5486, 16, 13, 15, 112031, 220, 16, 13, 16, 97718, 104364, 16144, 115924, 103359, 112603, 15682, 220, 15, 13, 16, 220, 38641, 105879, 220, 15, 13, 16, 108295, 116880, 19732, 64121, 26854, 84389, 21403, 232, 21418, 116216, 61689, 29295, 5486, 17, 13, 15, 112031, 220, 17, 13, 17, 97718, 104364, 16144, 115924, 103359, 112603, 15682, 220, 15, 13, 17, 220, 38641, 105879, 5486, 112603, 15682, 21403, 232, 21418, 84389, 100481, 107515, 9174, 9039, 112603, 111234, 109229, 121142, 103470, 5486, 57933, 62903, 71634, 111234, 109229, 16144, 117120, 22649, 32977, 88367, 38641, 15024, 5486, 116880, 54926, 112603, 30512, 66378, 23187, 16144, 112603, 16556, 22324, 50834, 109033, 105262, 117120, 22649, 32977, 88367, 38641, 1811, 119526, 16144, 25580, 117120, 22649, 20230, 108008, 20230, 102924, 60632, 26854, 97518, 9039, 118816, 78244, 58942, 33541, 9174, 17, 33671, 24186, 16144, 107461, 71634, 111134, 91062, 30512, 110240, 47884, 102052, 115847, 103296, 426, 56522, 83238, 220, 17, 110138, 26269, 102663, 78767, 30512, 103283, 108968, 42634, 65575, 39926, 119526, 30512, 117120, 22649, 54926, 109215, 115991, 79721, 29295, 5486, 66953, 78767, 78205, 16073, 22, 220, 77181, 5486, 17, 33671, 24186, 5486, 18, 33671, 24186, 5486, 19, 33671, 24186, 16144, 107461, 71634, 111134, 91062, 119526, 126694, 13153, 54926, 30833, 78310, 41190, 97518, 9039, 29295, 116155, 84389, 79721, 1811, 42097, 78310, 41190, 97518, 9039, 16144, 20834, 48634, 15682, 386, 10821, 787, 78310, 220, 102677, 111234, 109229, 115717, 33541, 105879, 5486, 25197, 126989, 107420, 67075, 54926, 121142, 5486, 17, 33671, 24186, 16144, 107461, 71634, 111134, 91062, 30512, 112825, 110904, 20230, 110240, 47884, 105908, 88367, 38641, 9174, 40, 5746, 1322, 220, 22, 220, 77181, 10293, 97718, 117501, 104721, 9039, 16144, 112603, 32977, 115181, 108608, 101200, 115717, 79721, 1811, 77750, 76171, 103792, 108152, 38248, 114, 13372, 71289, 15120, 39177, 108526, 33710, 99959, 16144, 31091, 30512, 126229, 56051, 16995, 107803, 102052, 102924, 60632, 38641, 9174, 9171, 2175, 13013, 7983, 446, 49443, 909, 356, 7338, 7283, 59, 24249, 96043, 59, 7469, 59, 12427, 8377, 2175, 13013, 7983, 446, 64616, 909, 9365, 8377, 2175, 13013, 7983, 446, 54, 5358, 2871, 909, 356, 7338, 76167, 198, 117501, 104721, 9039, 126694, 13153, 54926, 2638, 13013, 7983, 97518, 9039, 5486, 21403, 232, 21418, 54926, 1252, 751, 13013, 7983, 97518, 9039, 32977, 116155, 116216, 61689, 9174, 114626, 20230, 126362, 54926, 104468, 7531, 825, 414, 41190, 97518, 9039, 38641, 1811, 17, 33671, 24186, 68759, 122148, 29220, 22398, 111234, 109229, 55031, 5486, 109823, 56051, 44971, 102832, 114615, 50667, 112603, 101911, 30512, 110240, 47884, 1630, 111234, 109229, 320, 68408, 108526, 108958, 77181, 54, 7002, 825, 414, 8, 112031, 816, 111234, 109229, 320, 68408, 108526, 108958, 77181, 54, 10851, 825, 414, 8, 95371, 116602, 20834, 78434, 9174, 33671, 16144, 47260, 68759, 102860, 30512, 103350, 23039, 39926, 5486, 60868, 108969, 33710, 119526, 126694, 13153, 39926, 5486, 25197, 126989, 107420, 67075, 16556, 110240, 55723, 78434, 9174, 38, 64151, 124787, 30512, 17, 59739, 30358, 101832, 114146, 28713, 107420, 67075, 29295, 52563, 84389, 33541, 113637, 107420, 67075, 16556, 44971, 115882, 29295, 19, 106004, 50667, 102800, 28542, 30512, 116602, 20834, 54926, 102052, 111476, 10086, 825, 414, 828, 52782, 11, 19, 198, 19732, 103350, 23039, 78434, 1811, 54, 10851, 825, 414, 111707, 78349, 109229, 19732, 468, 7002, 825, 414, 111707, 78349, 109229, 29295, 47585, 107001, 105879, 115847, 30512, 107420, 67075, 20230, 116155, 78434, 9174, 24819, 1271, 11461, 17146, 468, 10851, 825, 414, 6296, 468, 7002, 825, 414, 198, 25197, 126989, 107420, 67075, 15682, 117032, 16144, 58419, 107420, 67075, 19732, 55, 19732, 56, 29295, 116900, 115717, 33541, 105879, 5486, 24819, 1271, 11461, 6704, 37648, 97518, 9039, 32977, 1630, 112031, 816, 95371, 125639, 109913, 105262, 5486, 14, 51, 105026, 32131, 41758, 30512, 109823, 127145, 1811, 128001, 128000, 14711, 220, 85701, 103296, 20230, 103664, 18, 32307, 107707, 111817, 104272, 40452, 101559, 29295, 45918, 243, 21990, 103792, 198, 123628, 122481, 77181, 5486, 111817, 104272, 40452, 101559, 106081, 111186, 16144, 127706, 96455, 16144, 84851, 60634, 5486, 105110, 102802, 20230, 71208, 58850, 103283, 9458, 112425, 103283, 9458, 106081, 111186, 30590, 103283, 16144, 127706, 96455, 109853, 48154, 126362, 121256, 29295, 5486, 110229, 16556, 5486, 127706, 96455, 29295, 605, 113127, 30512, 102769, 30369, 108680, 20230, 111108, 87844, 27479, 16144, 126574, 111817, 104272, 40452, 101559, 106081, 111186, 107118, 27929, 32977, 27929, 32977, 67645, 103171, 106081, 111186, 26854, 105879, 109954, 32149, 95532, 111817, 104272, 40452, 101559, 106081, 111186, 15682, 123334, 15682, 31431, 111817, 104272, 40452, 123863, 106444, 103087, 35083, 103195, 40452, 121101, 122474, 30046, 106081, 111186, 19732, 39177, 30512, 112361, 47884, 39926, 5486, 114565, 1032, 110895, 20230, 109832, 102332, 84389, 79721, 118844, 103296, 16144, 37087, 717, 18904, 16144, 106081, 111186, 16556, 5486, 103664, 1272, 32307, 17792, 102944, 17792, 105459, 29295, 101682, 111186, 15024, 5486, 103664, 18, 32307, 107707, 127706, 30046, 29295, 45918, 243, 21990, 127145, 1811, 91774, 24273, 30512, 104721, 58942, 104533, 115847, 103296, 20230, 28713, 100472, 18, 32307, 17792, 67016, 127706, 103082, 126386, 102677, 112973, 5486, 111817, 104272, 40452, 101559, 106081, 111186, 16144, 111108, 87844, 27479, 16144, 45736, 30813, 30512, 53953, 102158, 107462, 104533, 32977, 78244, 58942, 33541, 9174, 43514, 26854, 64121, 20230, 5486, 111817, 104272, 40452, 101559, 20230, 104409, 28713, 31091, 16144, 103087, 35083, 103306, 5486, 24775, 17620, 56438, 40452, 101559, 9458, 83812, 225, 110726, 16937, 91875, 106518, 40452, 101559, 9458, 83812, 225, 110726, 16937, 91875, 106518, 106613, 112167, 40452, 101559, 9458, 83812, 225, 110726, 126783, 40452, 101559, 104309, 115991, 33541, 29295, 115847, 33503, 15682, 122617, 70821, 56965, 103087, 35083, 109900, 113115, 39926, 111817, 104272, 40452, 101559, 15682, 29504, 74090, 109060, 66870, 29295, 36651, 15568, 226, 54926, 106444, 103087, 35083, 103195, 102083, 100472, 121953, 115991, 33541, 1811, 32977, 43514, 85791, 25827, 111108, 87844, 27479, 114556, 120837, 5486, 111817, 104272, 40452, 101559, 106081, 111186, 120332, 29295, 64889, 61994, 45736, 115737, 76947, 61689, 9174, 111817, 104272, 40452, 101559, 106081, 111186, 15682, 27452, 8107, 806, 9953, 16144, 124042, 9080, 110195, 117073, 35424, 123090, 17, 82973, 32149, 107441, 103350, 102923, 84389, 33541, 1811, 106081, 111186, 16144 ]
[ 103350, 102923, 116245, 109853, 15682, 5486, 116510, 7190, 234, 9458, 110139, 55038, 23530, 9458, 101778, 108931, 9458, 13372, 119906, 23530, 9458, 116622, 23530, 9458, 108285, 102687, 23530, 9458, 103005, 106344, 23530, 9458, 100823, 25038, 229, 23530, 105110, 102802, 20230, 85701, 120577, 41642, 115195, 119208, 104856, 76947, 61689, 9174, 33671, 20230, 106081, 111186, 70626, 30832, 109853, 119627, 5486, 111817, 104272, 40452, 101559, 106081, 111186, 102052, 16995, 78183, 106644, 30369, 106081, 111186, 70626, 30832, 102677, 104468, 103470, 5486, 17, 82973, 16, 47260, 68759, 16144, 106081, 111186, 29295, 23039, 123671, 33541, 1811, 90620, 15024, 5486, 106081, 111186, 16556, 20834, 104482, 107001, 17620, 102212, 9458, 44915, 109853, 15682, 5486, 88852, 119775, 23187, 62004, 124195, 61689, 9174, 91, 10110, 16, 7705, 111817, 104272, 16144, 40452, 123863, 25333, 103507, 127253, 103350, 102781, 123863, 100909, 198, 91, 26892, 53953, 16144, 24775, 17620, 56438, 50667, 123863, 112424, 5486, 101307, 126462, 24775, 17620, 56438, 26892, 53953, 16144, 88356, 26892, 50667, 123863, 115612, 116876, 22324, 25333, 5486, 111817, 104272, 16144, 26892, 109913, 58942, 16144, 35757, 113764, 33208, 50667, 123863, 112424, 5486, 70821, 25333, 10110, 18655, 73686, 5486, 120273, 103664, 50667, 111817, 104272, 40452, 123863, 102944, 65459, 16937, 91875, 106518, 29741, 61304, 25333, 5486, 111817, 104272, 123782, 40452, 106045, 103664, 5486, 111817, 104272, 123782, 40452, 103057, 29245, 245, 120273, 103664, 102181, 5486, 111817, 104272, 16144, 40452, 123863, 114950, 16144, 112424, 10110, 127178, 75146, 107253, 25333, 5486, 113949, 82420, 55723, 25333, 5486, 33420, 103181, 25333, 5486, 126783, 16144, 25446, 105284, 105184, 33563, 16144, 113096, 103130, 50667, 123863, 112424, 50667, 7705, 50667, 198, 91, 10110, 17, 7705, 40452, 103214, 40862, 16144, 103768, 112167, 16144, 35757, 113764, 33208, 123863, 100909, 198, 91, 40452, 103214, 40862, 16144, 121606, 19732, 103768, 112167, 10110, 43167, 38093, 16144, 103768, 112167, 50667, 65459, 40452, 103214, 40862, 16144, 121101, 19732, 107734, 111017, 10110, 107734, 102351, 5486, 22649, 30926, 38093, 16144, 107734, 111017, 50667, 65459, 40452, 103214, 40862, 16144, 107202, 40474, 117271, 19732, 103359, 105226, 5486, 40452, 103214, 40862, 16144, 126014, 29245, 253, 19732, 106053, 27452, 5486, 40452, 103214, 40862, 16144, 38093, 82420, 111276, 198, 91, 10110, 18, 7705, 111817, 104272, 16144, 26892, 53953, 127253, 106057, 103204, 102923, 102332, 16144, 106391, 67178, 127253, 120370, 123863, 100909, 198, 91, 111817, 104272, 16144, 106391, 67178, 9458, 120370, 5486, 101544, 23538, 23951, 103721, 243, 82420, 55723, 5486, 26892, 53953, 9458, 120370, 16144, 120761, 64889, 110745, 106045, 54872, 23951, 103721, 243, 111276, 198, 91, 10110, 19, 7705, 111817, 104272, 16144, 40452, 16144, 109431, 37656, 33208, 16144, 84851, 103130, 123863, 112424, 123863, 100909, 198, 91, 111817, 104272, 16144, 40452, 16144, 109431, 37656, 33208, 16144, 84851, 103130, 123863, 112424, 5486, 111817, 104272, 40452, 109431, 37656, 33208, 64467, 13393, 251, 111276, 128001, 128000, 567, 103964, 105576, 33035, 78943, 30046, 123050, 25333, 198, 13177, 35417, 105576, 33035, 78943, 30046, 123050, 25333, 10646, 15682, 5486, 29504, 70821, 16144, 118958, 5486, 111006, 5486, 112686, 106518, 50667, 16144, 60632, 105576, 16144, 123050, 112649, 124233, 30369, 25333, 103507, 108010, 95543, 23039, 101399, 109853, 5486, 111419, 16144, 31634, 14558, 16144, 17297, 16556, 33035, 78943, 56051, 8239, 112, 122502, 30046, 30512, 5486, 118482, 30046, 111848, 16937, 60632, 105576, 26854, 108167, 121247, 16995, 55031, 123050, 54926, 106592, 23187, 107436, 108086, 5486, 114565, 20713, 66115, 8107, 46702, 9953, 20713, 9080, 55031, 102923, 23039, 84389, 79721, 9174, 567, 220, 20713, 45631, 35417, 105576, 33035, 78943, 66383, 15682, 95532, 33671, 16144, 46702, 118821, 31634, 14558, 30512, 112624, 28713, 56051, 33035, 78943, 38641, 9174, 12, 94632, 112828, 101275, 30046, 102420, 15682, 58426, 107734, 102351, 5486, 123532, 101275, 102351, 104309, 109853, 111476, 12, 105729, 20033, 239, 25333, 71289, 119008, 108581, 21990, 25333, 104309, 29504, 70821, 16144, 118958, 5486, 111006, 5486, 112686, 106518, 50667, 16144, 123050, 20230, 108826, 30369, 112424, 121780, 25963, 68093, 8107, 20713, 20713, 9953, 20713, 9080, 112599, 46702, 60596, 34617, 22656, 7705, 20230, 106045, 23187, 107001, 127688, 23039, 101399, 71289, 25333, 103507, 108010, 95543, 23039, 101399, 29295, 21990, 100204, 5486, 102420, 15682, 17129, 30813, 20230, 21990, 100204, 101200, 103306, 107991, 107803, 20230, 111476, 12, 111707, 220, 110924, 16556, 122502, 47884, 8239, 112, 122502, 30046, 10110, 80805, 84477, 107507, 91062, 8239, 112, 122502, 30046, 71289, 105647, 124955, 8239, 112, 122502, 30046, 32977, 96412, 104004, 1811, 7705, 29295, 16937, 37656, 16144, 113173, 16556, 103470, 111476, 12, 107748, 112828, 101275, 30046, 123274, 71289, 107338, 101513, 97518, 104309, 113115, 39926, 23039, 30297, 33035, 78943, 198, 567, 220, 25963, 103964, 105576, 33035, 78943, 126198, 8239, 112, 122502, 30046, 15682, 67645, 120950, 123050, 29295, 101682, 76622, 110071, 32149, 95532, 35417, 105576, 33035, 78943, 56051, 106592, 114667, 117408, 50338, 25132, 229, 15682, 43568, 126120, 116787, 5486, 104989, 35083, 5486, 114485, 110698, 123160, 16937, 60632, 105576, 18655, 121247, 16995, 32977, 124260, 84389, 33541, 118855, 5486, 105647, 124955, 8239, 112, 122502, 30046, 103195, 35417, 105576, 33035, 78943, 30046, 29295, 35417, 105576, 33035, 78943, 126198, 106592, 114667, 117408, 8239, 112, 122502, 30046, 105647, 124955, 120273, 103664, 16144, 50338, 21418, 15682, 43568, 126120, 116787, 5486, 105647, 124955, 61826, 29295, 105647, 124955, 24186, 20230, 105647, 124955, 8239, 112, 122502, 112919, 39209, 31640, 30512, 32018, 109315, 100909, 123160, 16937, 60632, 105576, 18655, 121247, 16995, 32977, 124260, 84389, 33541, 9174, 567, 220, 34617, 109359, 78943, 61826, 111848, 123050, 16144, 31634, 14558, 15682, 95532, 123050, 114475, 76622, 110071, 124122, 31634, 14558, 15682, 5486, 33035, 78943, 61826, 113468, 108901, 26854, 31431, 33541, 9174, 10110, 20713, 7705, 118482, 30046, 123274, 20230, 33035, 78943, 54926, 107803, 198, 12, 94632, 87109, 37656, 16144, 113173, 16556, 100604, 100909, 198, 10110, 25963, 7705, 107338, 101513, 97518, 20230, 33035, 78943, 54926, 107803, 198, 12, 105729, 65218, 61304, 39880, 20230, 21601, 58942, 5486, 33035, 78943, 44915, 29295, 89151, 103350, 103195, 19732, 22023, 100204, 30369, 120019, 16144, 114667, 107407, 100909, 198, 10110, 34617, 7705, 114950, 118482, 30046, 48915, 34048, 10110, 78943, 45893, 101513, 97518, 104309, 7705, 20230, 33035, 78943, 54926, 107803, 198, 17905, 61304, 39880, 127253, 25197, 20230, 21601, 58942, 5486, 33671, 20230, 19012, 110, 102639, 30369, 31634, 14558, 16144, 16995, 101860, 33121, 32149, 30512, 112624, 28713, 17663, 100909, 198, 12, 112828, 101275, 30046, 123274, 102420, 15682, 107338, 101513, 97518, 20230, 35417, 105576, 33035, 78943, 30512, 126693, 50338, 25132, 229, 114950, 16937, 60632, 105576, 18655, 121247, 16995, 114475, 76622, 104533, 22023, 100204, 30369, 20230, 102780, 30369, 120019, 16144, 114667, 107407, 100909, 198, 12, 112828, 101275, 30046, 123274, 20230, 35417, 105576, 33035, 78943, 30512, 126693, 40265, 109638, 33035, 78943, 103359, 47523, 30926, 103350, 20230, 108826, 30369, 110322, 26955, 254, 29295, 125062, 121143, 5486, 49691, 121, 67178, 5486, 102420, 15682, 104721, 67178, 107001, 33334, 77693, 107407, 19732, 22023, 100204, 30369, 20230, 102780, 30369, 120019, 16144, 114667, 107407, 100909, 198, 12, 55699, 112, 102781, 104908, 61826, 55031, 5486, 118482, 30046, 123274, 71289, 107338, 101513, 97518, 20230, 35417, 105576, 33035, 78943, 30512, 21105, 103, 16995, 106592, 5486, 37656, 40265, 26854, 114667, 29295, 103470, 105318, 103646, 100909, 198, 12, 66556, 116, 28190, 112212, 118482, 30046, 123274, 20230, 35417, 105576, 33035, 78943, 126198, 9080, 55031, 81191, 9080, 30512, 120195, 111243, 5486, 40265, 109638, 8239, 112, 102781, 104908, 61826, 50667, 55031, 104873, 112984, 117824, 30297, 6079, 101, 16144, 114397, 119703, 100909, 102420, 15682, 40265, 109638, 8239, 112, 102781, 104908, 61826, 50667, 29295, 37656, 40265, 26854, 114667, 29295, 103470, 104873, 112984, 21105, 103, 16995, 100909, 198, 12, 121503, 107707, 118958, 102420, 15682, 111006, 20230, 109688, 104698, 29295, 102404, 21990, 15024, 5486, 102420, 15682, 102404, 21990, 54926, 105047, 117598, 56051, 109688, 117126, 107407, 19732, 22023, 100204, 30369, 20230, 102780, 30369, 120019, 16144, 114667, 107407, 100909, 198, 567, 220, 46702, 109359, 78943, 114475, 107674, 118482, 30046, 71289, 107338, 101513, 97518, 15682, 104405, 117271, 126693, 57980, 118544, 95532, 10110, 20713, 7705, 118482, 30046, 123274, 20230, 33035, 78943, 56051, 107803, 198, 35417, 105576, 33035, 78943, 114475, 107674, 118482, 30046, 15682, 5486, 33035, 78943, 103359, 47523, 30926, 103350, 20230, 108826, 30369, 21043, 37656, 116876, 22324, 50667, 109853, 5486, 33035, 78943, 30046, 20230, 114397, 54926, 101200, 115619, 62004, 123207, 26854, 31431, 107515, 9174, 10110, 25963, 7705, 107338, 101513, 97518, 20230, 33035, 78943, 56051, 107803, 198, 12, 94632, 103964, 105576, 33035, 78943, 114475, 107674, 107338, 101513, 97518, 15682, 5486, 109215, 26854, 104873, 112984, 71289, 25333, 103507, 20230, 75146, 109669, 47884, 109215, 26854, 116876, 22324, 114950, 109431, 102769, 26854, 116876, 22324, 30512, 19732, 33503, 123207, 26854, 31431, 107515, 9174, 12, 105729, 103964, 105576, 33035, 78943, 29295, 5486, 125144, 76947, 117120, 17620, 50667, 16144, 112607, 48249, 30512, 19361, 21105, 103, 16995, 107338, 101513, 97518, 101983, 103646, 126513, 106116, 107338, 101513, 97518, 15682, 112607, 48249, 107407, 109431, 102769, 26854, 107338, 101513, 97518, 30512, 33035, 78943, 30046, 20230, 100927, 58942, 123207, 26854, 31431, 107515, 1811, 112607, 48249, 107407, 107338, 101513, 97518, 15682, 5486, 33035, 78943, 103359, 47523, 30926, 103350, 109853, 108901, 26854, 31431, 5486, 125525, 102208, 66870, 11795, 223, 121142, 103470, 72368, 45893, 102697, 72099, 71289, 23530, 102865, 101634, 16144, 107803, 32977, 57903, 33541, 9174, 567, 220, 44597, 103964, 105576, 33035, 78943, 30046, 123050, 114305, 109853, 125821, 50520, 111, 106624, 53283, 31431, 106956, 106609, 35417, 105576, 33035, 78943, 30046, 123050, 25333, 16144, 40089, 17161, 5486, 103359, 47523, 112424, 106116, 43511, 35417, 105576, 33035, 78943, 30046, 123050, 114305, 16144, 116718, 109853, 15682, 5486, 32943, 34273, 96, 102697, 16144, 45631, 35417, 105576, 33035, 78943, 30046, 123050, 114305, 111234, 52884, 116229, 10646, 43444, 17039, 106045, 65299, 76171, 45923, 65299, 16556, 87447, 50834, 33541, 7705, 30512, 109088, 126229, 72315, 9174, 567, 220, 60596, 109609, 106344, 72099, 111363, 35417, 105576, 33035, 78943, 15682, 116414, 20230, 126693, 57980, 118544, 95532, 103005, 106344, 72099, 29295, 33035, 78943, 61826, 117282, 126513, 5486, 33035, 78943, 103359, 47523, 30926, 103350, 109853, 112607, 48249, 30512, 19361, 54926, 112424, 30512, 32938, 36651, 54926, 111681, 9458, 102452, 71289, 20834, 61826, 101513, 97518, 29295, 33035, 78943, 16144, 101682, 47000, 91739, 241, 40526, 121711, 33541, 9174, 110241, 5486, 33035, 78943, 61826, 29295, 78183, 124403, 126513, 5486, 17297, 61304, 103296, 33334, 99397, 16995, 114146, 72315, 9174, 567, 220, 66224, 109609, 106344, 72099, 111363, 35417, 105576, 33035, 78943, 16144, 127749, 198, 114565, 25963, 66115, 110895, 5486, 8239, 112, 122502, 30046, 117758, 35417, 105576, 33035, 78943, 16144, 101682, 22649, 14558, 9039, 15682, 34617, 14558, 38641, 9174, 101682, 22649, 14558, 9039, 198, 104873, 112984, 20230, 100815, 46034, 56051, 14558, 9039, 128001, 128000, 2, 116422, 112371, 101778, 122373, 15682, 5486, 60632, 105576, 16144, 24, 111017, 30512, 24615, 120, 104699, 45, 4064, 39850, 102494, 37823, 122401, 30046, 30512, 16205, 109, 107436, 104862, 54322, 56051, 104865, 95532, 2118, 1844, 82, 2234, 87717, 10110, 107624, 95001, 84389, 100604, 124792, 7705, 863, 63105, 249, 106344, 105469, 101559, 105330, 105514, 103794, 9174, 51330, 105933, 127852, 107666, 109904, 114810, 42634, 55031, 27704, 115464, 52371, 42, 16144, 45923, 123283, 39850, 114483, 102540, 120706, 10110, 806, 9953, 1419, 9080, 109935, 7705, 104088, 28713, 113637, 120706, 77181, 111476, 45, 4064, 25287, 52591, 32131, 116219, 39850, 102494, 37823, 30512, 102404, 31958, 56051, 63105, 249, 106344, 105469, 101559, 105330, 105514, 19732, 106116, 122401, 85707, 23538, 16144, 119400, 16144, 39850, 127058, 29295, 103350, 13372, 16556, 120955, 54926, 124845, 5486, 102404, 31958, 55031, 118482, 33208, 102416, 57237, 30369, 103296, 16144, 103188, 39607, 30512, 5486, 124773, 91482, 109496, 104309, 30512, 39209, 107290, 21990, 104680, 106624, 88356, 102321, 103792, 9174, 22656, 83932, 77181, 124563, 112371, 63105, 249, 106344, 105514, 29295, 45, 4064, 30512, 102404, 31958, 103082, 28713, 104865, 124563, 112371, 198, 101778, 122373, 15682, 77693, 30512, 118482, 33208, 103082, 28713, 104865, 30512, 5486, 120706, 44915, 30512, 75146, 20230, 112825, 110904, 20230, 123927, 104196, 30369, 124845, 5486, 101778, 122373, 30512, 56906, 107430, 56051, 63105, 249, 106344, 105514, 29295, 124563, 112371, 101778, 122373, 30512, 126014, 107800, 104865, 30512, 78698, 105085, 54926, 109807, 17905, 16556, 108149, 112568, 29295, 110241, 63105, 249, 106344, 105514, 120950, 2118, 47307, 44971, 52414, 863, 103351, 33503, 104405, 54926, 125231, 32149, 5486, 125845, 30591, 112568, 16144, 108695, 20230, 63105, 249, 106344, 105514, 120950, 2118, 47307, 44971, 52414, 863, 29295, 102334, 33503, 104405, 117120, 110053, 54926, 125231, 32149, 30512, 29172, 78244, 54926, 9174, 14711, 108834, 249, 106344, 105514, 29295, 45, 4064, 30512, 102404, 31958, 15024, 5486, 101778, 122373, 29295, 118482, 33208, 20230, 19653, 56051, 31634, 63212, 198, 120706, 55031, 5486, 101778, 122373, 29295, 45, 4064, 16144, 118482, 33208, 20230, 19653, 56051, 31634, 63212, 15682, 20, 59739, 105693, 105908, 91774, 38144, 18655, 104028, 1811, 88852, 20230, 58426, 20, 111831, 30512, 20379, 17663, 1811, 121846, 103296, 20230, 5486, 52591, 32131, 116219, 39850, 102494, 37823, 10110, 45, 4064, 121409, 45, 878, 16144, 40862, 82420, 7705, 107173, 30297, 115303, 118821, 103268, 106839, 33014, 39850, 102494, 37823, 79860, 16144, 105525, 17905, 45736, 84851, 60634, 108948, 119517, 63105, 249, 106344, 105514, 16144, 91875, 70141, 30512, 111629, 17, 20230, 20379, 17663, 1811, 126738, 5486, 45, 878, 32977, 71289, 15682, 31431, 63105, 249, 106344, 105514, 29295, 3753, 15, 8107, 119400, 20230, 102404, 31958 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103350, 102923, 116245, 109853, 15682, 5486, 116510, 7190, 234, 9458, 110139, 55038, 23530, 9458, 101778, 108931, 9458, 13372, 119906, 23530, 9458, 116622, 23530, 9458, 108285, 102687, 23530, 9458, 103005, 106344, 23530, 9458, 100823, 25038, 229, 23530, 105110, 102802, 20230, 85701, 120577, 41642, 115195, 119208, 104856, 76947, 61689, 9174, 33671, 20230, 106081, 111186, 70626, 30832, 109853, 119627, 5486, 111817, 104272, 40452, 101559, 106081, 111186, 102052, 16995, 78183, 106644, 30369, 106081, 111186, 70626, 30832, 102677, 104468, 103470, 5486, 17, 82973, 16, 47260, 68759, 16144, 106081, 111186, 29295, 23039, 123671, 33541, 1811, 90620, 15024, 5486, 106081, 111186, 16556, 20834, 104482, 107001, 17620, 102212, 9458, 44915, 109853, 15682, 5486, 88852, 119775, 23187, 62004, 124195, 61689, 9174, 91, 10110, 16, 7705, 111817, 104272, 16144, 40452, 123863, 25333, 103507, 127253, 103350, 102781, 123863, 100909, 198, 91, 26892, 53953, 16144, 24775, 17620, 56438, 50667, 123863, 112424, 5486, 101307, 126462, 24775, 17620, 56438, 26892, 53953, 16144, 88356, 26892, 50667, 123863, 115612, 116876, 22324, 25333, 5486, 111817, 104272, 16144, 26892, 109913, 58942, 16144, 35757, 113764, 33208, 50667, 123863, 112424, 5486, 70821, 25333, 10110, 18655, 73686, 5486, 120273, 103664, 50667, 111817, 104272, 40452, 123863, 102944, 65459, 16937, 91875, 106518, 29741, 61304, 25333, 5486, 111817, 104272, 123782, 40452, 106045, 103664, 5486, 111817, 104272, 123782, 40452, 103057, 29245, 245, 120273, 103664, 102181, 5486, 111817, 104272, 16144, 40452, 123863, 114950, 16144, 112424, 10110, 127178, 75146, 107253, 25333, 5486, 113949, 82420, 55723, 25333, 5486, 33420, 103181, 25333, 5486, 126783, 16144, 25446, 105284, 105184, 33563, 16144, 113096, 103130, 50667, 123863, 112424, 50667, 7705, 50667, 198, 91, 10110, 17, 7705, 40452, 103214, 40862, 16144, 103768, 112167, 16144, 35757, 113764, 33208, 123863, 100909, 198, 91, 40452, 103214, 40862, 16144, 121606, 19732, 103768, 112167, 10110, 43167, 38093, 16144, 103768, 112167, 50667, 65459, 40452, 103214, 40862, 16144, 121101, 19732, 107734, 111017, 10110, 107734, 102351, 5486, 22649, 30926, 38093, 16144, 107734, 111017, 50667, 65459, 40452, 103214, 40862, 16144, 107202, 40474, 117271, 19732, 103359, 105226, 5486, 40452, 103214, 40862, 16144, 126014, 29245, 253, 19732, 106053, 27452, 5486, 40452, 103214, 40862, 16144, 38093, 82420, 111276, 198, 91, 10110, 18, 7705, 111817, 104272, 16144, 26892, 53953, 127253, 106057, 103204, 102923, 102332, 16144, 106391, 67178, 127253, 120370, 123863, 100909, 198, 91, 111817, 104272, 16144, 106391, 67178, 9458, 120370, 5486, 101544, 23538, 23951, 103721, 243, 82420, 55723, 5486, 26892, 53953, 9458, 120370, 16144, 120761, 64889, 110745, 106045, 54872, 23951, 103721, 243, 111276, 198, 91, 10110, 19, 7705, 111817, 104272, 16144, 40452, 16144, 109431, 37656, 33208, 16144, 84851, 103130, 123863, 112424, 123863, 100909, 198, 91, 111817, 104272, 16144, 40452, 16144, 109431, 37656, 33208, 16144, 84851, 103130, 123863, 112424, 5486, 111817, 104272, 40452, 109431, 37656, 33208, 64467, 13393, 251, 111276, 128001, 128000, 567, 103964, 105576, 33035, 78943, 30046, 123050, 25333, 198, 13177, 35417, 105576, 33035, 78943, 30046, 123050, 25333, 10646, 15682, 5486, 29504, 70821, 16144, 118958, 5486, 111006, 5486, 112686, 106518, 50667, 16144, 60632, 105576, 16144, 123050, 112649, 124233, 30369, 25333, 103507, 108010, 95543, 23039, 101399, 109853, 5486, 111419, 16144, 31634, 14558, 16144, 17297, 16556, 33035, 78943, 56051, 8239, 112, 122502, 30046, 30512, 5486, 118482, 30046, 111848, 16937, 60632, 105576, 26854, 108167, 121247, 16995, 55031, 123050, 54926, 106592, 23187, 107436, 108086, 5486, 114565, 20713, 66115, 8107, 46702, 9953, 20713, 9080, 55031, 102923, 23039, 84389, 79721, 9174, 567, 220, 20713, 45631, 35417, 105576, 33035, 78943, 66383, 15682, 95532, 33671, 16144, 46702, 118821, 31634, 14558, 30512, 112624, 28713, 56051, 33035, 78943, 38641, 9174, 12, 94632, 112828, 101275, 30046, 102420, 15682, 58426, 107734, 102351, 5486, 123532, 101275, 102351, 104309, 109853, 111476, 12, 105729, 20033, 239, 25333, 71289, 119008, 108581, 21990, 25333, 104309, 29504, 70821, 16144, 118958, 5486, 111006, 5486, 112686, 106518, 50667, 16144, 123050, 20230, 108826, 30369, 112424, 121780, 25963, 68093, 8107, 20713, 20713, 9953, 20713, 9080, 112599, 46702, 60596, 34617, 22656, 7705, 20230, 106045, 23187, 107001, 127688, 23039, 101399, 71289, 25333, 103507, 108010, 95543, 23039, 101399, 29295, 21990, 100204, 5486, 102420, 15682, 17129, 30813, 20230, 21990, 100204, 101200, 103306, 107991, 107803, 20230, 111476, 12, 111707, 220, 110924, 16556, 122502, 47884, 8239, 112, 122502, 30046, 10110, 80805, 84477, 107507, 91062, 8239, 112, 122502, 30046, 71289, 105647, 124955, 8239, 112, 122502, 30046, 32977, 96412, 104004, 1811, 7705, 29295, 16937, 37656, 16144, 113173, 16556, 103470, 111476, 12, 107748, 112828, 101275, 30046, 123274, 71289, 107338, 101513, 97518, 104309, 113115, 39926, 23039, 30297, 33035, 78943, 198, 567, 220, 25963, 103964, 105576, 33035, 78943, 126198, 8239, 112, 122502, 30046, 15682, 67645, 120950, 123050, 29295, 101682, 76622, 110071, 32149, 95532, 35417, 105576, 33035, 78943, 56051, 106592, 114667, 117408, 50338, 25132, 229, 15682, 43568, 126120, 116787, 5486, 104989, 35083, 5486, 114485, 110698, 123160, 16937, 60632, 105576, 18655, 121247, 16995, 32977, 124260, 84389, 33541, 118855, 5486, 105647, 124955, 8239, 112, 122502, 30046, 103195, 35417, 105576, 33035, 78943, 30046, 29295, 35417, 105576, 33035, 78943, 126198, 106592, 114667, 117408, 8239, 112, 122502, 30046, 105647, 124955, 120273, 103664, 16144, 50338, 21418, 15682, 43568, 126120, 116787, 5486, 105647, 124955, 61826, 29295, 105647, 124955, 24186, 20230, 105647, 124955, 8239, 112, 122502, 112919, 39209, 31640, 30512, 32018, 109315, 100909, 123160, 16937, 60632, 105576, 18655, 121247, 16995, 32977, 124260, 84389, 33541, 9174, 567, 220, 34617, 109359, 78943, 61826, 111848, 123050, 16144, 31634, 14558, 15682, 95532, 123050, 114475, 76622, 110071, 124122, 31634, 14558, 15682, 5486, 33035, 78943, 61826, 113468, 108901, 26854, 31431, 33541, 9174, 10110, 20713, 7705, 118482, 30046, 123274, 20230, 33035, 78943, 54926, 107803, 198, 12, 94632, 87109, 37656, 16144, 113173, 16556, 100604, 100909, 198, 10110, 25963, 7705, 107338, 101513, 97518, 20230, 33035, 78943, 54926, 107803, 198, 12, 105729, 65218, 61304, 39880, 20230, 21601, 58942, 5486, 33035, 78943, 44915, 29295, 89151, 103350, 103195, 19732, 22023, 100204, 30369, 120019, 16144, 114667, 107407, 100909, 198, 10110, 34617, 7705, 114950, 118482, 30046, 48915, 34048, 10110, 78943, 45893, 101513, 97518, 104309, 7705, 20230, 33035, 78943, 54926, 107803, 198, 17905, 61304, 39880, 127253, 25197, 20230, 21601, 58942, 5486, 33671, 20230, 19012, 110, 102639, 30369, 31634, 14558, 16144, 16995, 101860, 33121, 32149, 30512, 112624, 28713, 17663, 100909, 198, 12, 112828, 101275, 30046, 123274, 102420, 15682, 107338, 101513, 97518, 20230, 35417, 105576, 33035, 78943, 30512, 126693, 50338, 25132, 229, 114950, 16937, 60632, 105576, 18655, 121247, 16995, 114475, 76622, 104533, 22023, 100204, 30369, 20230, 102780, 30369, 120019, 16144, 114667, 107407, 100909, 198, 12, 112828, 101275, 30046, 123274, 20230, 35417, 105576, 33035, 78943, 30512, 126693, 40265, 109638, 33035, 78943, 103359, 47523, 30926, 103350, 20230, 108826, 30369, 110322, 26955, 254, 29295, 125062, 121143, 5486, 49691, 121, 67178, 5486, 102420, 15682, 104721, 67178, 107001, 33334, 77693, 107407, 19732, 22023, 100204, 30369, 20230, 102780, 30369, 120019, 16144, 114667, 107407, 100909, 198, 12, 55699, 112, 102781, 104908, 61826, 55031, 5486, 118482, 30046, 123274, 71289, 107338, 101513, 97518, 20230, 35417, 105576, 33035, 78943, 30512, 21105, 103, 16995, 106592, 5486, 37656, 40265, 26854, 114667, 29295, 103470, 105318, 103646, 100909, 198, 12, 66556, 116, 28190, 112212, 118482, 30046, 123274, 20230, 35417, 105576, 33035, 78943, 126198, 9080, 55031, 81191, 9080, 30512, 120195, 111243, 5486, 40265, 109638, 8239, 112, 102781, 104908, 61826, 50667, 55031, 104873, 112984, 117824, 30297, 6079, 101, 16144, 114397, 119703, 100909, 102420, 15682, 40265, 109638, 8239, 112, 102781, 104908, 61826, 50667, 29295, 37656, 40265, 26854, 114667, 29295, 103470, 104873, 112984, 21105, 103, 16995, 100909, 198, 12, 121503, 107707, 118958, 102420, 15682, 111006, 20230, 109688, 104698, 29295, 102404, 21990, 15024, 5486, 102420, 15682, 102404, 21990, 54926, 105047, 117598, 56051, 109688, 117126, 107407, 19732, 22023, 100204, 30369, 20230, 102780, 30369, 120019, 16144, 114667, 107407, 100909, 198, 567, 220, 46702, 109359, 78943, 114475, 107674, 118482, 30046, 71289, 107338, 101513, 97518, 15682, 104405, 117271, 126693, 57980, 118544, 95532, 10110, 20713, 7705, 118482, 30046, 123274, 20230, 33035, 78943, 56051, 107803, 198, 35417, 105576, 33035, 78943, 114475, 107674, 118482, 30046, 15682, 5486, 33035, 78943, 103359, 47523, 30926, 103350, 20230, 108826, 30369, 21043, 37656, 116876, 22324, 50667, 109853, 5486, 33035, 78943, 30046, 20230, 114397, 54926, 101200, 115619, 62004, 123207, 26854, 31431, 107515, 9174, 10110, 25963, 7705, 107338, 101513, 97518, 20230, 33035, 78943, 56051, 107803, 198, 12, 94632, 103964, 105576, 33035, 78943, 114475, 107674, 107338, 101513, 97518, 15682, 5486, 109215, 26854, 104873, 112984, 71289, 25333, 103507, 20230, 75146, 109669, 47884, 109215, 26854, 116876, 22324, 114950, 109431, 102769, 26854, 116876, 22324, 30512, 19732, 33503, 123207, 26854, 31431, 107515, 9174, 12, 105729, 103964, 105576, 33035, 78943, 29295, 5486, 125144, 76947, 117120, 17620, 50667, 16144, 112607, 48249, 30512, 19361, 21105, 103, 16995, 107338, 101513, 97518, 101983, 103646, 126513, 106116, 107338, 101513, 97518, 15682, 112607, 48249, 107407, 109431, 102769, 26854, 107338, 101513, 97518, 30512, 33035, 78943, 30046, 20230, 100927, 58942, 123207, 26854, 31431, 107515, 1811, 112607, 48249, 107407, 107338, 101513, 97518, 15682, 5486, 33035, 78943, 103359, 47523, 30926, 103350, 109853, 108901, 26854, 31431, 5486, 125525, 102208, 66870, 11795, 223, 121142, 103470, 72368, 45893, 102697, 72099, 71289, 23530, 102865, 101634, 16144, 107803, 32977, 57903, 33541, 9174, 567, 220, 44597, 103964, 105576, 33035, 78943, 30046, 123050, 114305, 109853, 125821, 50520, 111, 106624, 53283, 31431, 106956, 106609, 35417, 105576, 33035, 78943, 30046, 123050, 25333, 16144, 40089, 17161, 5486, 103359, 47523, 112424, 106116, 43511, 35417, 105576, 33035, 78943, 30046, 123050, 114305, 16144, 116718, 109853, 15682, 5486, 32943, 34273, 96, 102697, 16144, 45631, 35417, 105576, 33035, 78943, 30046, 123050, 114305, 111234, 52884, 116229, 10646, 43444, 17039, 106045, 65299, 76171, 45923, 65299, 16556, 87447, 50834, 33541, 7705, 30512, 109088, 126229, 72315, 9174, 567, 220, 60596, 109609, 106344, 72099, 111363, 35417, 105576, 33035, 78943, 15682, 116414, 20230, 126693, 57980, 118544, 95532, 103005, 106344, 72099, 29295, 33035, 78943, 61826, 117282, 126513, 5486, 33035, 78943, 103359, 47523, 30926, 103350, 109853, 112607, 48249, 30512, 19361, 54926, 112424, 30512, 32938, 36651, 54926, 111681, 9458, 102452, 71289, 20834, 61826, 101513, 97518, 29295, 33035, 78943, 16144, 101682, 47000, 91739, 241, 40526, 121711, 33541, 9174, 110241, 5486, 33035, 78943, 61826, 29295, 78183, 124403, 126513, 5486, 17297, 61304, 103296, 33334, 99397, 16995, 114146, 72315, 9174, 567, 220, 66224, 109609, 106344, 72099, 111363, 35417, 105576, 33035, 78943, 16144, 127749, 198, 114565, 25963, 66115, 110895, 5486, 8239, 112, 122502, 30046, 117758, 35417, 105576, 33035, 78943, 16144, 101682, 22649, 14558, 9039, 15682, 34617, 14558, 38641, 9174, 101682, 22649, 14558, 9039, 198, 104873, 112984, 20230, 100815, 46034, 56051, 14558, 9039, 128001, 128000, 2, 116422, 112371, 101778, 122373, 15682, 5486, 60632, 105576, 16144, 24, 111017, 30512, 24615, 120, 104699, 45, 4064, 39850, 102494, 37823, 122401, 30046, 30512, 16205, 109, 107436, 104862, 54322, 56051, 104865, 95532, 2118, 1844, 82, 2234, 87717, 10110, 107624, 95001, 84389, 100604, 124792, 7705, 863, 63105, 249, 106344, 105469, 101559, 105330, 105514, 103794, 9174, 51330, 105933, 127852, 107666, 109904, 114810, 42634, 55031, 27704, 115464, 52371, 42, 16144, 45923, 123283, 39850, 114483, 102540, 120706, 10110, 806, 9953, 1419, 9080, 109935, 7705, 104088, 28713, 113637, 120706, 77181, 111476, 45, 4064, 25287, 52591, 32131, 116219, 39850, 102494, 37823, 30512, 102404, 31958, 56051, 63105, 249, 106344, 105469, 101559, 105330, 105514, 19732, 106116, 122401, 85707, 23538, 16144, 119400, 16144, 39850, 127058, 29295, 103350, 13372, 16556, 120955, 54926, 124845, 5486, 102404, 31958, 55031, 118482, 33208, 102416, 57237, 30369, 103296, 16144, 103188, 39607, 30512, 5486, 124773, 91482, 109496, 104309, 30512, 39209, 107290, 21990, 104680, 106624, 88356, 102321, 103792, 9174, 22656, 83932, 77181, 124563, 112371, 63105, 249, 106344, 105514, 29295, 45, 4064, 30512, 102404, 31958, 103082, 28713, 104865, 124563, 112371, 198, 101778, 122373, 15682, 77693, 30512, 118482, 33208, 103082, 28713, 104865, 30512, 5486, 120706, 44915, 30512, 75146, 20230, 112825, 110904, 20230, 123927, 104196, 30369, 124845, 5486, 101778, 122373, 30512, 56906, 107430, 56051, 63105, 249, 106344, 105514, 29295, 124563, 112371, 101778, 122373, 30512, 126014, 107800, 104865, 30512, 78698, 105085, 54926, 109807, 17905, 16556, 108149, 112568, 29295, 110241, 63105, 249, 106344, 105514, 120950, 2118, 47307, 44971, 52414, 863, 103351, 33503, 104405, 54926, 125231, 32149, 5486, 125845, 30591, 112568, 16144, 108695, 20230, 63105, 249, 106344, 105514, 120950, 2118, 47307, 44971, 52414, 863, 29295, 102334, 33503, 104405, 117120, 110053, 54926, 125231, 32149, 30512, 29172, 78244, 54926, 9174, 14711, 108834, 249, 106344, 105514, 29295, 45, 4064, 30512, 102404, 31958, 15024, 5486, 101778, 122373, 29295, 118482, 33208, 20230, 19653, 56051, 31634, 63212, 198, 120706, 55031, 5486, 101778, 122373, 29295, 45, 4064, 16144, 118482, 33208, 20230, 19653, 56051, 31634, 63212, 15682, 20, 59739, 105693, 105908, 91774, 38144, 18655, 104028, 1811, 88852, 20230, 58426, 20, 111831, 30512, 20379, 17663, 1811, 121846, 103296, 20230, 5486, 52591, 32131, 116219, 39850, 102494, 37823, 10110, 45, 4064, 121409, 45, 878, 16144, 40862, 82420, 7705, 107173, 30297, 115303, 118821, 103268, 106839, 33014, 39850, 102494, 37823, 79860, 16144, 105525, 17905, 45736, 84851, 60634, 108948, 119517, 63105, 249, 106344, 105514, 16144, 91875, 70141, 30512, 111629, 17, 20230, 20379, 17663, 1811, 126738, 5486, 45, 878, 32977, 71289, 15682, 31431, 63105, 249, 106344, 105514, 29295, 3753, 15, 8107, 119400, 20230, 102404, 31958 ]
[ 56051, 103268, 106839, 33014, 39850, 102494, 37823, 16556, 5486, 36668, 103306, 57326, 77750, 32131, 91062, 30512, 35083, 108446, 54926, 120266, 33655, 126832, 115397, 24273, 5486, 45, 4064, 15682, 36668, 103306, 119526, 16144, 61304, 125534, 20230, 33655, 126832, 9174, 10110, 16, 7705, 63105, 249, 106344, 105514, 15682, 5486, 4468, 16, 8107, 21909, 2550, 19, 116358, 101778, 122373, 19000, 107430, 126867, 103664, 2636, 14558, 16144, 66378, 110008, 30512, 20834, 112622, 103792, 1811, 116882, 30046, 15682, 845, 8107, 56965, 16144, 9080, 80195, 124448, 32938, 113245, 112113, 30046, 113146, 20230, 2131, 14558, 20834, 112622, 56051, 29295, 115847, 72661, 127181, 118881, 16144, 34048, 104770, 109156, 30369, 1811, 1419, 8107, 16556, 2636, 14558, 107118, 114318, 25827, 72661, 100604, 9039, 116787, 5486, 63105, 249, 106344, 105514, 15682, 95604, 26854, 104984, 47307, 44971, 52414, 103351, 16144, 103195, 109807, 17905, 36896, 127960, 15682, 105464, 16144, 113009, 18904, 103836, 66383, 95604, 37026, 22023, 46729, 116787, 36896, 112832, 16144, 112844, 115789, 104655, 126660, 10646, 102099, 36668, 105714, 16144, 104195, 16995, 113679, 103351, 109807, 105933, 104195, 111101, 26854, 102159, 34171, 29295, 36896, 40053, 109375, 77181, 113727, 102204, 100604, 10646, 102404, 101067, 30512, 88367, 20230, 56051, 106046, 126832, 9174, 10110, 17, 7705, 63105, 249, 106344, 105514, 15682, 17701, 61337, 74245, 123090, 102473, 9458, 122401, 10110, 49, 120740, 35, 7705, 34048, 103722, 20230, 55487, 103204, 103646, 29295, 106116, 74482, 5486, 112167, 101275, 34048, 103722, 20230, 108901, 91875, 121711, 5486, 68838, 71289, 76171, 113834, 30512, 45923, 60868, 18904, 31431, 56051, 113702, 36896, 67645, 103171, 20230, 118463, 29295, 103424, 47884, 111243, 126574, 39850, 102494, 37823, 15682, 105525, 110615, 66383, 95604, 30775, 104, 108881, 30512, 103868, 78183, 100472, 109807, 106613, 111186, 55031, 5486, 49, 120740, 35, 34048, 103722, 20230, 114941, 100472, 123470, 3753, 21, 116033, 13177, 78183, 75694, 19732, 118463, 30512, 102936, 103306, 51385, 47884, 54926, 39850, 102494, 37823, 66383, 39926, 45, 4064, 30512, 102404, 31958, 56051, 118844, 15682, 5486, 107167, 106826, 16073, 113714, 102700, 44620, 25197, 101335, 102832, 38248, 115, 78205, 113883, 76428, 111999, 68759, 36761, 16556, 53283, 110071, 1054, 105150, 127258, 9554, 112113, 863, 20230, 102717, 32149, 105110, 100604, 1811, 128001, 128000, 124773, 123437, 67075, 30512, 105522, 240, 29295, 122101, 114567, 11883, 102158, 5486, 67645, 33121, 32977, 85701, 32977, 105838, 102158, 71289, 22398, 93488, 41758, 122416, 16556, 78183, 107277, 107515, 123794, 1811, 110924, 16556, 37271, 18904, 15682, 5486, 8107, 106968, 101983, 104533, 102321, 104028, 13177, 51, 16519, 66383, 95604, 102756, 65575, 109853, 50520, 111, 106624, 50338, 108323, 78434, 118844, 30512, 98499, 62004, 81219, 30591, 112568, 32977, 114567, 101275, 98220, 33035, 101983, 104028, 5486, 32149, 32977, 95532, 27929, 32977, 27929, 32977, 13177, 791, 4140, 23488, 66383, 15682, 127091, 95532, 13177, 51, 16519, 66383, 15682, 13177, 791, 4140, 23488, 96555, 103988, 9458, 114567, 116806, 102756, 106240, 117503, 105838, 25666, 16556, 5486, 121410, 8107, 717, 9953, 20230, 127164, 16556, 23039, 78183, 115032, 91482, 68408, 90962, 114567, 16144, 29430, 105586, 38641, 109807, 54872, 103826, 15682, 54846, 17905, 16556, 112832, 72661, 103984, 36735, 112, 54926, 105908, 103082, 5486, 102616, 16325, 16556, 109054, 68759, 33710, 55487, 22023, 32977, 116216, 61689, 9174, 30832, 106157, 15682, 99849, 19732, 78244, 114598, 5486, 38, 1831, 56, 19732, 105838, 110731, 13177, 4973, 315, 279, 9941, 117503, 125053, 38641, 1811, 86436, 116358, 717, 9953, 55031, 89408, 16144, 806, 9953, 103296, 16144, 16, 116358, 30591, 16995, 36785, 20230, 121642, 103646, 91482, 68408, 90962, 114567, 107809, 55031, 32335, 32977, 104622, 103468, 16, 22656, 30512, 104662, 62004, 33541, 1811, 91482, 68408, 90962, 114567, 101275, 98220, 16144, 114363, 103722, 46729, 19732, 108936, 20119, 254, 16144, 124117, 80172, 95544, 26854, 105879, 5486, 806, 9953, 126867, 119695, 116229, 120650, 76622, 81219, 112832, 72661, 84851, 119432, 16, 22656, 30512, 106608, 110238, 125545, 57980, 6447, 10110, 43514, 26854, 64121, 20230, 2366, 17, 116358, 38, 1831, 56, 15682, 44620, 2818, 92610, 87026, 36761, 16556, 56051, 23954, 65743, 38093, 30512, 102781, 109315, 104468, 71493, 96452, 99959, 16144, 114567, 106901, 109793, 124766, 103195, 109531, 52591, 9458, 62903, 111672, 11972, 105514, 38641, 1811, 103031, 15682, 4973, 48149, 71289, 42, 354, 24468, 16556, 102803, 102514, 103306, 112415, 15024, 5486, 36, 18, 20230, 85707, 23538, 55031, 74843, 55723, 109768, 79721, 1811, 102616, 72661, 20251, 103830, 107059, 22398, 20230, 19361, 13372, 26854, 114567, 102803, 102514, 19732, 78244, 105262, 105879, 5486, 116882, 112919, 105933, 80195, 75267, 16144, 114516, 55031, 112990, 102780, 30512, 70141, 107441, 121120, 102204, 100604, 48706, 125651, 9174, 38, 1831, 56, 16144, 125053, 121142, 103470, 5486, 37507, 8107, 23897, 104989, 20230, 121642, 107001, 114567, 16144, 17039, 125053, 32977, 121771, 98369, 101182, 17905, 5486, 112318, 105189, 105621, 71634, 16144, 20834, 102446, 71289, 5486, 21990, 66953, 102860, 111848, 114567, 60868, 65299, 102860, 16144, 102446, 116340, 32977, 101182, 105879, 5486, 21043, 66776, 107173, 119869, 55031, 114626, 103296, 114181, 38144, 111654, 102800, 25197, 102832, 52414, 104856, 76947, 61689, 106609, 43511, 20230, 19361, 13372, 26854, 29430, 105586, 71289, 108363, 10110, 38, 1831, 56, 119735, 101182, 16144, 95532, 92877, 124750, 16144, 108363, 127303, 104984, 13177, 60890, 11186, 31513, 23488, 10646, 29295, 123680, 102639, 110071, 123253, 1811, 117896, 15682, 25197, 104603, 112997, 16556, 1490, 112425, 55031, 23039, 78183, 115032, 29430, 105586, 38641, 1811, 118899, 15682, 38, 1831, 56, 19732, 78244, 116285, 51, 16519, 16556, 102647, 20834, 103646, 102944, 30512, 64467, 17663, 105908, 43240, 117714, 119627, 5486, 117896, 32977, 105843, 17620, 120195, 30369, 108680, 20230, 112607, 105578, 115991, 5486, 26130, 30832, 17663, 125231, 108363, 104856, 76947, 61689, 1811, 43514, 26854, 64121, 20230, 2366, 17, 8107, 15682, 51, 16519, 19732, 112361, 47884, 44620, 2818, 92610, 87026, 36761, 16556, 56051, 9174, 43514, 26854, 64121, 20230, 2366, 16, 8107, 102052, 5486, 33122, 101275, 114567, 29295, 21990, 17129, 106824, 55031, 43514, 107106, 67645, 1135, 8107, 102677, 118733, 5486, 44584, 3509, 4140, 315, 2052, 4212, 10110, 37271, 103296, 20230, 121642, 103646, 114567, 16556, 32335, 32977, 104622, 103468, 47307, 78983, 33710, 7705, 102677, 34048, 103722, 29295, 19967, 102204, 44620, 35, 9272, 14202, 1112, 50, 36761, 29295, 102647, 81219, 33121, 79721, 1811, 22398, 103621, 16995, 112371, 52591, 42634, 91062, 102741, 112508, 111234, 39880, 106609, 53900, 5486, 117409, 16144, 114567, 108363, 16556, 112844, 19732, 44620, 102433, 114567, 27384, 108363, 36761, 29295, 19361, 13372, 38641, 1811, 117896, 15682, 121410, 8107, 111344, 114567, 102895, 65299, 16144, 32335, 126867, 125053, 84389, 124620, 27384, 108267, 119895, 124131, 116219, 110101, 103988, 106240, 36761, 114971, 126694, 100472, 44559, 250, 103932, 75513, 102216, 98369, 104309, 102700, 13372, 26854, 107167, 76739, 25197, 102514, 29295, 29741, 45826, 229, 15024, 106116, 116358, 32335, 32977, 104622, 103468, 109713, 107271, 108941, 38248, 110, 103202, 30512, 10414, 225, 58942, 33541, 1811, 43514, 26854, 64121, 20230, 2366, 17, 8107, 15682, 44620, 124373, 105335, 25005, 237, 114483, 108994, 122624, 5232, 60868, 126594, 108748, 29220, 36761, 29295, 101682, 108363, 121256, 9174, 43511, 105352, 5486, 114567, 122401, 30046, 110366, 16144, 121606, 103794, 38, 5744, 10110, 4973, 47717, 15217, 120732, 39850, 127058, 29295, 104622, 103468, 114567, 30512, 102647, 20834, 54926, 13177, 4973, 47717, 28206, 23488, 10646, 32977, 28190, 101828, 16995, 106081, 64121, 38641, 15024, 5486, 24186, 104680, 15682, 112607, 105578, 101182, 120366, 16144, 108363, 115287, 127515, 39880, 71493, 68408, 101198, 11972, 108363, 10110, 7209, 59512, 7705, 29295, 60358, 8107, 91482, 68408, 90962, 114567, 34048, 103722, 126694, 31431, 5486, 108152, 78683, 105048, 26854, 47307, 78983, 33710, 30512, 102647, 20834, 103792, 123017, 116696, 48552, 39926, 33334, 105898, 16995, 38641, 9174, 51, 16519, 30512, 108031, 114715, 19012, 246, 31431, 17297, 102639, 14382, 34048, 103722, 108363, 105352, 26130, 30832, 106609, 38, 1831, 56, 15682, 99849, 32977, 28713, 100472, 16, 22656, 16144, 114567, 30512, 21405, 14608, 108, 54926, 113334, 77181, 124897, 1811, 34048, 103722, 108363, 30512, 120065, 91774, 38144, 64121, 17129, 109954, 9174, 114652, 87177, 104482, 20230, 123680, 29295, 30369, 104468, 5486, 791, 4140, 17768, 369, 7252, 96821, 1811, 32335, 32977, 104622, 103468, 96452, 32131, 103906, 52884, 114567, 15682, 67645, 33121, 32149, 5486, 102677, 108363, 38641, 66327, 96452, 32131, 103906, 52884, 126557, 60358, 8107, 30591, 33503, 106644, 104533, 107404, 16556, 102158, 110071, 101200, 110276, 102756, 65575, 119627, 5486, 87177, 30046, 113468, 11883, 108968, 29295, 21441, 118, 106824, 108086, 33541, 9174, 27929, 32977, 27929, 32977, 96452, 32131, 103906, 52884, 102677, 104468, 5486, 17161, 117813, 16144, 102616, 16556, 33655, 123671, 101732, 112690, 16556, 5486, 71634, 111672, 115247, 103359, 104577, 102158, 103306, 121432, 39926, 79721, 1811, 58521, 29295, 15120, 19113, 15120, 106808, 61304, 56051, 102971, 106968, 16144, 101182, 33334, 87177, 113115, 39926, 5486, 96452, 32131, 103906, 52884, 102677, 104468, 13177, 102158, 31431, 10646, 116787, 5486, 102159, 114754, 106613, 111186, 56051, 30591, 71289, 105104, 71289, 16556, 36668, 114181, 109904, 33334, 87177, 30512, 64467, 78434, 9174, 91482, 68408, 90962, 114567, 121960, 15682, 5486, 114567, 30512, 104405, 109739, 102189, 32149, 37026, 33014, 29295, 102159, 104680, 17792, 16556, 108010, 30297, 103846, 5486, 27929, 32977, 27929, 32977, 29295, 96452, 32131, 103906, 52884, 26854, 106581, 38641, 66327, 122571, 67645, 103171, 111090, 57933, 91062, 16556, 5486, 108064, 67645, 103171, 104346, 20230, 102669, 100472, 32149, 66383, 16995, 100472, 105933, 106592, 98915, 104067, 104309, 19732, 102158, 31431, 40862, 30297, 105908, 5486, 96452, 32131, 103906, 52884, 103195, 19732, 78698, 107290, 72315, 9174, 43514, 26854, 64121, 20230, 2366, 17, 116358, 51, 16519, 77181, 44620, 103621, 105404, 9458, 90962, 52884, 9458, 124981, 11972, 109240, 41758, 96452, 42634, 29220, 36761, 29295, 101682, 108363, 121256, 29295, 36896, 114774, 105184, 111201, 22398, 103621, 16995, 114567, 125743, 108048, 15682, 96452, 32131, 103906, 52884, 102677, 105755, 71634, 111672, 11972, 77181, 91006, 106046, 100472, 31431, 32977, 14382, 9174, 58426, 102717, 32149, 5486, 91482, 68408, 90962, 114567, 16144, 3378, 55031, 105647, 21990, 56051, 127949, 71289, 120366, 106942, 30512, 21405, 14608, 108, 54926, 791, 4140, 17768, 369, 7252, 59531, 367, 71289, 123334, 127567, 19732, 29504, 106518, 49, 11637, 29295, 101335, 101198, 102750, 84477, 84389, 17129, 109749, 791, 4140, 17768, 369, 7252, 15766, 40551, 4140, 32977, 28190, 101828, 16995, 38641, 9174, 107253, 104874, 30512, 39926, 102532, 32977, 58721, 15682, 72718, 50834, 30369, 14382, 60358, 116358, 51, 16519, 16556, 72718, 105898, 20251, 111670, 102494, 116806, 29220, 57207, 68408, 52414, 198, 2366, 17, 8107, 5486, 51, 16519, 77181, 44620, 2818, 92610, 87026, 36761, 29295, 38, 1831, 56, 101682, 108363, 30512, 15024, 5486, 122401, 108695, 16144, 52591, 42634, 91062, 9458, 102741, 112508, 111234, 39880, 55031, 106496, 106894, 83947, 45736, 105514, 33503, 29295, 29741, 45826, 229, 39926, 22398, 70563, 113335, 117824, 100472, 104983, 5486, 105037, 236, 16144, 113587, 29295, 108267, 17701, 56051, 58721, 115991, 79721, 9174, 40265, 39177, 116882, 30046, 15682, 104612, 33710, 107507, 91062, 16556, 114181, 101732, 16144, 119627, 5486, 115590, 20230, 109683, 26854, 112391, 16556, 101682, 108363, 30046, 105459, 19732, 126419, 20230, 115442, 121118, 105879, 5486, 119869, 15682, 116690, 30046, 32149, 106046, 16995, 79721, 1811, 29741, 45826, 229, 103792, 37087, 102351, 29295, 40265, 115461, 54926, 112741, 30512, 111179, 32149, 103854, 27704, 109013, 100909, 19732, 123085, 102158, 16556, 99750, 91875, 19732, 99750, 118835, 16144, 112690, 30512, 43032, 103854, 30369, 106496, 106894, 98369, 105459, 20230, 57106, 103854, 117119, 16144, 101171, 230, 117139, 126758, 87177, 30512, 114654, 16556, 83601, 233, 31431, 118158, 100909, 55031, 110901, 33121, 11571, 32977, 67016, 39926, 34048, 48915, 30046, 105321, 104446, 91006, 106046, 16995, 79721, 9174, 103031, 15682, 113938, 13177, 51330, 108363, 30512, 91482, 33710, 9458, 107167, 52414, 16073, 24186, 27384, 105156, 108761, 20230, 15017, 100, 102639, 33541, 66383, 120267, 27704, 109013, 100909, 55031, 5486, 107167, 52414, 100560, 250, 11972, 25197, 104309, 19732, 127173, 115032, 102131, 38641, 9174, 53900, 112361, 109531, 52591, 9458, 62903, 111672, 11972, 29295, 65743, 38093, 30512, 102781, 109013, 13177, 35668, 444, 220, 2366, 18, 117503, 90962, 107610, 78683, 94550, 96452, 78983, 102803, 52884, 72661, 36896, 38, 15559, 118587, 89046, 105324, 54926, 105037, 236, 16144, 123737, 29295, 45826, 229, 17905, 20230, 30591, 29295, 76947, 50834, 38144, 5486, 104970, 104874, 102351, 20230, 108167, 110408, 30813, 58942, 110071, 102677, 58721, 115991, 79721, 113637, 105933, 104612, 33710, 107507, 91062, 25197, 102832, 52414, 38641, 115694, 16144, 39880, 29220, 57207, 68408, 52414, 30512, 103181, 104699, 104468, 16937, 88367, 32149, 110241, 33121, 107515, 29295, 5486, 125821, 109755, 85791, 102800, 30926, 107328, 101983, 106358, 32149, 121061, 119150, 19732, 5486, 21105, 96, 107277, 56051, 104970, 104874, 126130, 124730, 56051, 16995, 125651, 14382, 9174, 15120, 24273, 5486, 120065, 49838, 105262, 117902, 30926, 32977, 112361, 47884, 2366, 17, 116358, 51, 16519, 16556, 125119, 31431, 79721, 1811, 102832, 71634, 80805, 108526, 108941, 107446, 108363, 114475, 108363, 56051, 44620, 103621, 105404, 9458, 90962, 52884, 9458, 124981, 11972, 5232, 32131, 41758, 96452, 42634, 29220, 36761, 16144, 29220, 44971, 78983, 22398, 107734, 103195, 107167, 71634, 104774, 11972, 9458, 106901, 26269, 76428, 105514, 16144, 101682, 108363, 22398, 70563, 113335, 29295, 101544, 120195, 104533, 87177, 104482, 115717, 79721, 9174, 105321, 19732, 28713, 108005, 115, 31431, 22, 17620, 2946, 47018, 1811, 26854, 102639, 58942, 5486, 101544, 120195, 30369, 112371, 5486, 29220, 44971, 78983, 22398, 1811, 80805, 80805, 117084, 108323, 100927, 23706, 244, 29295, 47000, 102334, 104865, 26854, 95532, 117896, 32977, 104612, 33710, 107507, 91062, 16556, 114181, 100481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 56051, 103268, 106839, 33014, 39850, 102494, 37823, 16556, 5486, 36668, 103306, 57326, 77750, 32131, 91062, 30512, 35083, 108446, 54926, 120266, 33655, 126832, 115397, 24273, 5486, 45, 4064, 15682, 36668, 103306, 119526, 16144, 61304, 125534, 20230, 33655, 126832, 9174, 10110, 16, 7705, 63105, 249, 106344, 105514, 15682, 5486, 4468, 16, 8107, 21909, 2550, 19, 116358, 101778, 122373, 19000, 107430, 126867, 103664, 2636, 14558, 16144, 66378, 110008, 30512, 20834, 112622, 103792, 1811, 116882, 30046, 15682, 845, 8107, 56965, 16144, 9080, 80195, 124448, 32938, 113245, 112113, 30046, 113146, 20230, 2131, 14558, 20834, 112622, 56051, 29295, 115847, 72661, 127181, 118881, 16144, 34048, 104770, 109156, 30369, 1811, 1419, 8107, 16556, 2636, 14558, 107118, 114318, 25827, 72661, 100604, 9039, 116787, 5486, 63105, 249, 106344, 105514, 15682, 95604, 26854, 104984, 47307, 44971, 52414, 103351, 16144, 103195, 109807, 17905, 36896, 127960, 15682, 105464, 16144, 113009, 18904, 103836, 66383, 95604, 37026, 22023, 46729, 116787, 36896, 112832, 16144, 112844, 115789, 104655, 126660, 10646, 102099, 36668, 105714, 16144, 104195, 16995, 113679, 103351, 109807, 105933, 104195, 111101, 26854, 102159, 34171, 29295, 36896, 40053, 109375, 77181, 113727, 102204, 100604, 10646, 102404, 101067, 30512, 88367, 20230, 56051, 106046, 126832, 9174, 10110, 17, 7705, 63105, 249, 106344, 105514, 15682, 17701, 61337, 74245, 123090, 102473, 9458, 122401, 10110, 49, 120740, 35, 7705, 34048, 103722, 20230, 55487, 103204, 103646, 29295, 106116, 74482, 5486, 112167, 101275, 34048, 103722, 20230, 108901, 91875, 121711, 5486, 68838, 71289, 76171, 113834, 30512, 45923, 60868, 18904, 31431, 56051, 113702, 36896, 67645, 103171, 20230, 118463, 29295, 103424, 47884, 111243, 126574, 39850, 102494, 37823, 15682, 105525, 110615, 66383, 95604, 30775, 104, 108881, 30512, 103868, 78183, 100472, 109807, 106613, 111186, 55031, 5486, 49, 120740, 35, 34048, 103722, 20230, 114941, 100472, 123470, 3753, 21, 116033, 13177, 78183, 75694, 19732, 118463, 30512, 102936, 103306, 51385, 47884, 54926, 39850, 102494, 37823, 66383, 39926, 45, 4064, 30512, 102404, 31958, 56051, 118844, 15682, 5486, 107167, 106826, 16073, 113714, 102700, 44620, 25197, 101335, 102832, 38248, 115, 78205, 113883, 76428, 111999, 68759, 36761, 16556, 53283, 110071, 1054, 105150, 127258, 9554, 112113, 863, 20230, 102717, 32149, 105110, 100604, 1811, 128001, 128000, 124773, 123437, 67075, 30512, 105522, 240, 29295, 122101, 114567, 11883, 102158, 5486, 67645, 33121, 32977, 85701, 32977, 105838, 102158, 71289, 22398, 93488, 41758, 122416, 16556, 78183, 107277, 107515, 123794, 1811, 110924, 16556, 37271, 18904, 15682, 5486, 8107, 106968, 101983, 104533, 102321, 104028, 13177, 51, 16519, 66383, 95604, 102756, 65575, 109853, 50520, 111, 106624, 50338, 108323, 78434, 118844, 30512, 98499, 62004, 81219, 30591, 112568, 32977, 114567, 101275, 98220, 33035, 101983, 104028, 5486, 32149, 32977, 95532, 27929, 32977, 27929, 32977, 13177, 791, 4140, 23488, 66383, 15682, 127091, 95532, 13177, 51, 16519, 66383, 15682, 13177, 791, 4140, 23488, 96555, 103988, 9458, 114567, 116806, 102756, 106240, 117503, 105838, 25666, 16556, 5486, 121410, 8107, 717, 9953, 20230, 127164, 16556, 23039, 78183, 115032, 91482, 68408, 90962, 114567, 16144, 29430, 105586, 38641, 109807, 54872, 103826, 15682, 54846, 17905, 16556, 112832, 72661, 103984, 36735, 112, 54926, 105908, 103082, 5486, 102616, 16325, 16556, 109054, 68759, 33710, 55487, 22023, 32977, 116216, 61689, 9174, 30832, 106157, 15682, 99849, 19732, 78244, 114598, 5486, 38, 1831, 56, 19732, 105838, 110731, 13177, 4973, 315, 279, 9941, 117503, 125053, 38641, 1811, 86436, 116358, 717, 9953, 55031, 89408, 16144, 806, 9953, 103296, 16144, 16, 116358, 30591, 16995, 36785, 20230, 121642, 103646, 91482, 68408, 90962, 114567, 107809, 55031, 32335, 32977, 104622, 103468, 16, 22656, 30512, 104662, 62004, 33541, 1811, 91482, 68408, 90962, 114567, 101275, 98220, 16144, 114363, 103722, 46729, 19732, 108936, 20119, 254, 16144, 124117, 80172, 95544, 26854, 105879, 5486, 806, 9953, 126867, 119695, 116229, 120650, 76622, 81219, 112832, 72661, 84851, 119432, 16, 22656, 30512, 106608, 110238, 125545, 57980, 6447, 10110, 43514, 26854, 64121, 20230, 2366, 17, 116358, 38, 1831, 56, 15682, 44620, 2818, 92610, 87026, 36761, 16556, 56051, 23954, 65743, 38093, 30512, 102781, 109315, 104468, 71493, 96452, 99959, 16144, 114567, 106901, 109793, 124766, 103195, 109531, 52591, 9458, 62903, 111672, 11972, 105514, 38641, 1811, 103031, 15682, 4973, 48149, 71289, 42, 354, 24468, 16556, 102803, 102514, 103306, 112415, 15024, 5486, 36, 18, 20230, 85707, 23538, 55031, 74843, 55723, 109768, 79721, 1811, 102616, 72661, 20251, 103830, 107059, 22398, 20230, 19361, 13372, 26854, 114567, 102803, 102514, 19732, 78244, 105262, 105879, 5486, 116882, 112919, 105933, 80195, 75267, 16144, 114516, 55031, 112990, 102780, 30512, 70141, 107441, 121120, 102204, 100604, 48706, 125651, 9174, 38, 1831, 56, 16144, 125053, 121142, 103470, 5486, 37507, 8107, 23897, 104989, 20230, 121642, 107001, 114567, 16144, 17039, 125053, 32977, 121771, 98369, 101182, 17905, 5486, 112318, 105189, 105621, 71634, 16144, 20834, 102446, 71289, 5486, 21990, 66953, 102860, 111848, 114567, 60868, 65299, 102860, 16144, 102446, 116340, 32977, 101182, 105879, 5486, 21043, 66776, 107173, 119869, 55031, 114626, 103296, 114181, 38144, 111654, 102800, 25197, 102832, 52414, 104856, 76947, 61689, 106609, 43511, 20230, 19361, 13372, 26854, 29430, 105586, 71289, 108363, 10110, 38, 1831, 56, 119735, 101182, 16144, 95532, 92877, 124750, 16144, 108363, 127303, 104984, 13177, 60890, 11186, 31513, 23488, 10646, 29295, 123680, 102639, 110071, 123253, 1811, 117896, 15682, 25197, 104603, 112997, 16556, 1490, 112425, 55031, 23039, 78183, 115032, 29430, 105586, 38641, 1811, 118899, 15682, 38, 1831, 56, 19732, 78244, 116285, 51, 16519, 16556, 102647, 20834, 103646, 102944, 30512, 64467, 17663, 105908, 43240, 117714, 119627, 5486, 117896, 32977, 105843, 17620, 120195, 30369, 108680, 20230, 112607, 105578, 115991, 5486, 26130, 30832, 17663, 125231, 108363, 104856, 76947, 61689, 1811, 43514, 26854, 64121, 20230, 2366, 17, 8107, 15682, 51, 16519, 19732, 112361, 47884, 44620, 2818, 92610, 87026, 36761, 16556, 56051, 9174, 43514, 26854, 64121, 20230, 2366, 16, 8107, 102052, 5486, 33122, 101275, 114567, 29295, 21990, 17129, 106824, 55031, 43514, 107106, 67645, 1135, 8107, 102677, 118733, 5486, 44584, 3509, 4140, 315, 2052, 4212, 10110, 37271, 103296, 20230, 121642, 103646, 114567, 16556, 32335, 32977, 104622, 103468, 47307, 78983, 33710, 7705, 102677, 34048, 103722, 29295, 19967, 102204, 44620, 35, 9272, 14202, 1112, 50, 36761, 29295, 102647, 81219, 33121, 79721, 1811, 22398, 103621, 16995, 112371, 52591, 42634, 91062, 102741, 112508, 111234, 39880, 106609, 53900, 5486, 117409, 16144, 114567, 108363, 16556, 112844, 19732, 44620, 102433, 114567, 27384, 108363, 36761, 29295, 19361, 13372, 38641, 1811, 117896, 15682, 121410, 8107, 111344, 114567, 102895, 65299, 16144, 32335, 126867, 125053, 84389, 124620, 27384, 108267, 119895, 124131, 116219, 110101, 103988, 106240, 36761, 114971, 126694, 100472, 44559, 250, 103932, 75513, 102216, 98369, 104309, 102700, 13372, 26854, 107167, 76739, 25197, 102514, 29295, 29741, 45826, 229, 15024, 106116, 116358, 32335, 32977, 104622, 103468, 109713, 107271, 108941, 38248, 110, 103202, 30512, 10414, 225, 58942, 33541, 1811, 43514, 26854, 64121, 20230, 2366, 17, 8107, 15682, 44620, 124373, 105335, 25005, 237, 114483, 108994, 122624, 5232, 60868, 126594, 108748, 29220, 36761, 29295, 101682, 108363, 121256, 9174, 43511, 105352, 5486, 114567, 122401, 30046, 110366, 16144, 121606, 103794, 38, 5744, 10110, 4973, 47717, 15217, 120732, 39850, 127058, 29295, 104622, 103468, 114567, 30512, 102647, 20834, 54926, 13177, 4973, 47717, 28206, 23488, 10646, 32977, 28190, 101828, 16995, 106081, 64121, 38641, 15024, 5486, 24186, 104680, 15682, 112607, 105578, 101182, 120366, 16144, 108363, 115287, 127515, 39880, 71493, 68408, 101198, 11972, 108363, 10110, 7209, 59512, 7705, 29295, 60358, 8107, 91482, 68408, 90962, 114567, 34048, 103722, 126694, 31431, 5486, 108152, 78683, 105048, 26854, 47307, 78983, 33710, 30512, 102647, 20834, 103792, 123017, 116696, 48552, 39926, 33334, 105898, 16995, 38641, 9174, 51, 16519, 30512, 108031, 114715, 19012, 246, 31431, 17297, 102639, 14382, 34048, 103722, 108363, 105352, 26130, 30832, 106609, 38, 1831, 56, 15682, 99849, 32977, 28713, 100472, 16, 22656, 16144, 114567, 30512, 21405, 14608, 108, 54926, 113334, 77181, 124897, 1811, 34048, 103722, 108363, 30512, 120065, 91774, 38144, 64121, 17129, 109954, 9174, 114652, 87177, 104482, 20230, 123680, 29295, 30369, 104468, 5486, 791, 4140, 17768, 369, 7252, 96821, 1811, 32335, 32977, 104622, 103468, 96452, 32131, 103906, 52884, 114567, 15682, 67645, 33121, 32149, 5486, 102677, 108363, 38641, 66327, 96452, 32131, 103906, 52884, 126557, 60358, 8107, 30591, 33503, 106644, 104533, 107404, 16556, 102158, 110071, 101200, 110276, 102756, 65575, 119627, 5486, 87177, 30046, 113468, 11883, 108968, 29295, 21441, 118, 106824, 108086, 33541, 9174, 27929, 32977, 27929, 32977, 96452, 32131, 103906, 52884, 102677, 104468, 5486, 17161, 117813, 16144, 102616, 16556, 33655, 123671, 101732, 112690, 16556, 5486, 71634, 111672, 115247, 103359, 104577, 102158, 103306, 121432, 39926, 79721, 1811, 58521, 29295, 15120, 19113, 15120, 106808, 61304, 56051, 102971, 106968, 16144, 101182, 33334, 87177, 113115, 39926, 5486, 96452, 32131, 103906, 52884, 102677, 104468, 13177, 102158, 31431, 10646, 116787, 5486, 102159, 114754, 106613, 111186, 56051, 30591, 71289, 105104, 71289, 16556, 36668, 114181, 109904, 33334, 87177, 30512, 64467, 78434, 9174, 91482, 68408, 90962, 114567, 121960, 15682, 5486, 114567, 30512, 104405, 109739, 102189, 32149, 37026, 33014, 29295, 102159, 104680, 17792, 16556, 108010, 30297, 103846, 5486, 27929, 32977, 27929, 32977, 29295, 96452, 32131, 103906, 52884, 26854, 106581, 38641, 66327, 122571, 67645, 103171, 111090, 57933, 91062, 16556, 5486, 108064, 67645, 103171, 104346, 20230, 102669, 100472, 32149, 66383, 16995, 100472, 105933, 106592, 98915, 104067, 104309, 19732, 102158, 31431, 40862, 30297, 105908, 5486, 96452, 32131, 103906, 52884, 103195, 19732, 78698, 107290, 72315, 9174, 43514, 26854, 64121, 20230, 2366, 17, 116358, 51, 16519, 77181, 44620, 103621, 105404, 9458, 90962, 52884, 9458, 124981, 11972, 109240, 41758, 96452, 42634, 29220, 36761, 29295, 101682, 108363, 121256, 29295, 36896, 114774, 105184, 111201, 22398, 103621, 16995, 114567, 125743, 108048, 15682, 96452, 32131, 103906, 52884, 102677, 105755, 71634, 111672, 11972, 77181, 91006, 106046, 100472, 31431, 32977, 14382, 9174, 58426, 102717, 32149, 5486, 91482, 68408, 90962, 114567, 16144, 3378, 55031, 105647, 21990, 56051, 127949, 71289, 120366, 106942, 30512, 21405, 14608, 108, 54926, 791, 4140, 17768, 369, 7252, 59531, 367, 71289, 123334, 127567, 19732, 29504, 106518, 49, 11637, 29295, 101335, 101198, 102750, 84477, 84389, 17129, 109749, 791, 4140, 17768, 369, 7252, 15766, 40551, 4140, 32977, 28190, 101828, 16995, 38641, 9174, 107253, 104874, 30512, 39926, 102532, 32977, 58721, 15682, 72718, 50834, 30369, 14382, 60358, 116358, 51, 16519, 16556, 72718, 105898, 20251, 111670, 102494, 116806, 29220, 57207, 68408, 52414, 198, 2366, 17, 8107, 5486, 51, 16519, 77181, 44620, 2818, 92610, 87026, 36761, 29295, 38, 1831, 56, 101682, 108363, 30512, 15024, 5486, 122401, 108695, 16144, 52591, 42634, 91062, 9458, 102741, 112508, 111234, 39880, 55031, 106496, 106894, 83947, 45736, 105514, 33503, 29295, 29741, 45826, 229, 39926, 22398, 70563, 113335, 117824, 100472, 104983, 5486, 105037, 236, 16144, 113587, 29295, 108267, 17701, 56051, 58721, 115991, 79721, 9174, 40265, 39177, 116882, 30046, 15682, 104612, 33710, 107507, 91062, 16556, 114181, 101732, 16144, 119627, 5486, 115590, 20230, 109683, 26854, 112391, 16556, 101682, 108363, 30046, 105459, 19732, 126419, 20230, 115442, 121118, 105879, 5486, 119869, 15682, 116690, 30046, 32149, 106046, 16995, 79721, 1811, 29741, 45826, 229, 103792, 37087, 102351, 29295, 40265, 115461, 54926, 112741, 30512, 111179, 32149, 103854, 27704, 109013, 100909, 19732, 123085, 102158, 16556, 99750, 91875, 19732, 99750, 118835, 16144, 112690, 30512, 43032, 103854, 30369, 106496, 106894, 98369, 105459, 20230, 57106, 103854, 117119, 16144, 101171, 230, 117139, 126758, 87177, 30512, 114654, 16556, 83601, 233, 31431, 118158, 100909, 55031, 110901, 33121, 11571, 32977, 67016, 39926, 34048, 48915, 30046, 105321, 104446, 91006, 106046, 16995, 79721, 9174, 103031, 15682, 113938, 13177, 51330, 108363, 30512, 91482, 33710, 9458, 107167, 52414, 16073, 24186, 27384, 105156, 108761, 20230, 15017, 100, 102639, 33541, 66383, 120267, 27704, 109013, 100909, 55031, 5486, 107167, 52414, 100560, 250, 11972, 25197, 104309, 19732, 127173, 115032, 102131, 38641, 9174, 53900, 112361, 109531, 52591, 9458, 62903, 111672, 11972, 29295, 65743, 38093, 30512, 102781, 109013, 13177, 35668, 444, 220, 2366, 18, 117503, 90962, 107610, 78683, 94550, 96452, 78983, 102803, 52884, 72661, 36896, 38, 15559, 118587, 89046, 105324, 54926, 105037, 236, 16144, 123737, 29295, 45826, 229, 17905, 20230, 30591, 29295, 76947, 50834, 38144, 5486, 104970, 104874, 102351, 20230, 108167, 110408, 30813, 58942, 110071, 102677, 58721, 115991, 79721, 113637, 105933, 104612, 33710, 107507, 91062, 25197, 102832, 52414, 38641, 115694, 16144, 39880, 29220, 57207, 68408, 52414, 30512, 103181, 104699, 104468, 16937, 88367, 32149, 110241, 33121, 107515, 29295, 5486, 125821, 109755, 85791, 102800, 30926, 107328, 101983, 106358, 32149, 121061, 119150, 19732, 5486, 21105, 96, 107277, 56051, 104970, 104874, 126130, 124730, 56051, 16995, 125651, 14382, 9174, 15120, 24273, 5486, 120065, 49838, 105262, 117902, 30926, 32977, 112361, 47884, 2366, 17, 116358, 51, 16519, 16556, 125119, 31431, 79721, 1811, 102832, 71634, 80805, 108526, 108941, 107446, 108363, 114475, 108363, 56051, 44620, 103621, 105404, 9458, 90962, 52884, 9458, 124981, 11972, 5232, 32131, 41758, 96452, 42634, 29220, 36761, 16144, 29220, 44971, 78983, 22398, 107734, 103195, 107167, 71634, 104774, 11972, 9458, 106901, 26269, 76428, 105514, 16144, 101682, 108363, 22398, 70563, 113335, 29295, 101544, 120195, 104533, 87177, 104482, 115717, 79721, 9174, 105321, 19732, 28713, 108005, 115, 31431, 22, 17620, 2946, 47018, 1811, 26854, 102639, 58942, 5486, 101544, 120195, 30369, 112371, 5486, 29220, 44971, 78983, 22398, 1811, 80805, 80805, 117084, 108323, 100927, 23706, 244, 29295, 47000, 102334, 104865, 26854, 95532, 117896, 32977, 104612, 33710, 107507, 91062, 16556, 114181, 100481 ]
[ 79721, 29295, 5486, 22398, 70563, 113335, 16144, 74245, 112772, 120955, 56051, 11743, 111, 104622, 16144, 107908, 9458, 80805, 78459, 25005, 236, 29295, 101860, 104043, 101171, 229, 16556, 103031, 16144, 22398, 70563, 113335, 104088, 106154, 76947, 108086, 127359, 106384, 39880, 120366, 16144, 45923, 16073, 30512, 110382, 103296, 75293, 28713, 72342, 104533, 15682, 5486, 30813, 17663, 29295, 101365, 104680, 30512, 23602, 254, 100472, 115953, 122543, 19732, 99750, 64209, 109768, 79721, 1811, 126738, 110371, 106084, 30926, 16144, 30591, 19732, 5486, 51, 16519, 113245, 22398, 70563, 113335, 15682, 1774, 47018, 23897, 32943, 20230, 44416, 48249, 103646, 102131, 38641, 9174, 71689, 5486, 51, 16519, 109853, 50338, 108323, 121256, 1811, 51, 16519, 109853, 113954, 29295, 102987, 117864, 105879, 30591, 104984, 106515, 16995, 38641, 1811, 112185, 605, 8107, 105352, 112624, 28713, 100604, 39880, 102756, 65575, 119627, 106116, 48706, 99750, 19732, 114567, 101275, 98220, 111363, 117375, 48634, 15682, 30832, 112854, 17129, 102800, 102944, 115991, 33541, 1811, 89408, 32977, 67645, 103171, 125053, 107407, 32149, 19732, 111243, 105465, 21105, 123, 125651, 106609, 43511, 105352, 114567, 101275, 98220, 16144, 22398, 93488, 41758, 71289, 11883, 102158, 109853, 53283, 31431, 106956, 105908, 105693, 33503, 5486, 90178, 25340, 226, 16556, 22957, 42891, 27929, 31431, 100927, 107290, 72315, 106609, 2, 116564, 34226, 104655, 124324, 6447, 11571, 13177, 51, 16519, 10646, 76947, 67645, 103171, 25197, 102832, 52414, 36785, 42891, 76622, 11571, 102616, 16556, 32335, 32977, 19361, 13372, 26854, 114567, 108363, 30512, 17599, 117, 104792, 50338, 108323, 128001, 128000, 105268, 95604, 86614, 16995, 85791, 103171, 123737, 19732, 109739, 104369, 123017, 104712, 123682, 5486, 126326, 30512, 103984, 102212, 109156, 104028, 104856, 104533, 50021, 112909, 102647, 104369, 109215, 115991, 33541, 1811, 37729, 110783, 71289, 8107, 106036, 95, 104309, 33334, 114308, 40862, 16995, 123410, 20230, 30591, 115926, 92148, 110, 110615, 77195, 107407, 106046, 61689, 29295, 106116, 16325, 72661, 107430, 101275, 71289, 8107, 110226, 15682, 124490, 32149, 72342, 107515, 123794, 9174, 53900, 36896, 126326, 74482, 15682, 117876, 126198, 47884, 100604, 6447, 59712, 33334, 35330, 20230, 16937, 111764, 56051, 47884, 100604, 6447, 59712, 45144, 227, 103350, 26854, 114754, 104712, 76864, 119150, 111482, 15682, 127181, 116497, 9174, 110924, 16556, 6447, 37271, 18904, 15682, 115191, 102351, 16144, 103031, 30512, 105621, 67075, 54926, 41007, 30512, 48154, 126362, 78434, 6447, 107430, 75267, 20230, 111482, 29295, 43240, 115737, 107188, 32149, 20834, 38093, 119841, 120007, 119775, 91763, 61689, 29295, 5486, 103350, 104983, 15682, 106063, 96356, 123737, 29295, 127181, 105272, 110162, 124192, 77219, 77181, 115191, 102351, 19732, 126326, 54926, 39850, 37823, 67075, 55031, 103031, 120577, 32943, 28190, 71289, 106613, 111587, 109904, 101523, 227, 48634, 5486, 80539, 20834, 38093, 30297, 41007, 103296, 17599, 117, 104792, 112535, 44971, 29220, 109933, 11972, 78434, 6447, 32977, 67016, 127564, 108149, 112568, 16144, 78183, 29295, 110674, 30512, 107188, 107290, 124089, 127075, 103234, 32149, 110241, 33121, 107515, 57980, 9174, 567, 124934, 222, 23039, 102351, 19732, 126326, 54926, 39850, 37823, 67075, 198, 14711, 114794, 28190, 30832, 16556, 45144, 227, 103350, 198, 115191, 102351, 16144, 34171, 35083, 15682, 78525, 66953, 37823, 13177, 89151, 28190, 30832, 16556, 45144, 227, 103350, 10646, 38641, 9174, 33334, 65854, 103826, 113115, 39926, 104257, 121370, 32149, 59739, 21388, 107591, 16144, 100604, 107328, 27479, 30512, 64209, 115856, 76622, 123207, 105110, 100604, 104468, 67645, 16144, 107430, 104091, 105352, 78244, 105262, 100909, 119627, 5486, 121247, 30297, 102944, 119279, 35330, 16144, 103846, 89783, 82420, 20230, 95221, 30512, 124955, 30297, 100909, 115717, 33541, 118855, 5486, 121568, 108134, 16144, 108167, 121247, 16995, 32977, 16906, 111, 30358, 26854, 103846, 5486, 118430, 118095, 20230, 102663, 39880, 108744, 101198, 22398, 30512, 103792, 105933, 17792, 20230, 102781, 115464, 102944, 77181, 124897, 1811, 114715, 16144, 101198, 22398, 32977, 110008, 84389, 100604, 16144, 38641, 109807, 103846, 5486, 62903, 78459, 16073, 114267, 40053, 109375, 115991, 104398, 121867, 19967, 101275, 29295, 107202, 101983, 110104, 114754, 76706, 109526, 235, 109768, 47884, 100909, 115717, 33541, 9174, 59739, 109709, 5486, 115191, 102351, 103306, 101544, 47884, 122502, 119188, 102677, 109335, 33334, 65854, 103826, 16144, 106592, 103983, 20230, 113727, 89151, 99046, 107, 20230, 117876, 20230, 108167, 103214, 104004, 13177, 89151, 28190, 30832, 30813, 10646, 115991, 5486, 101198, 22398, 32977, 83747, 103470, 107693, 26854, 108134, 15682, 115924, 103359, 20230, 48915, 34048, 20230, 118487, 33503, 30813, 100604, 13177, 45144, 227, 103350, 30813, 118587, 110794, 114146, 100934, 102677, 106592, 115552, 103792, 16144, 38641, 9174, 112167, 101275, 117824, 103836, 17792, 127303, 104984, 33334, 65854, 103826, 19732, 28741, 20230, 71289, 31431, 108167, 123410, 100909, 115717, 33541, 55031, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 16144, 126574, 24273, 29295, 127181, 107173, 78244, 58942, 33541, 123794, 1811, 89151, 28190, 30832, 16556, 33334, 87177, 17905, 46034, 114016, 5486, 104712, 100909, 36785, 33503, 76622, 6447, 109860, 115191, 102351, 15682, 126326, 120007, 20230, 56051, 16995, 107430, 101275, 103306, 126909, 107407, 116233, 101832, 9174, 14711, 107879, 99, 42506, 9458, 126356, 112950, 21990, 29295, 126521, 198, 126326, 54926, 30297, 58942, 16556, 95221, 108176, 112973, 33334, 110698, 42506, 1811, 115191, 102351, 16144, 115274, 8107, 110226, 15682, 110219, 16144, 108695, 102351, 16144, 115274, 8107, 110226, 20230, 57106, 103854, 104533, 45736, 47884, 5486, 966, 97049, 16144, 119400, 102052, 111482, 29295, 122502, 32149, 103470, 107173, 46702, 17792, 122013, 30512, 114392, 20230, 113598, 105262, 113314, 16144, 8107, 110226, 29295, 91774, 104526, 123606, 33541, 1811, 27452, 116285, 115191, 107809, 72661, 27384, 112495, 113949, 115191, 20230, 114731, 62004, 100934, 123737, 16144, 110226, 17701, 15682, 112361, 116358, 43511, 101275, 104091, 16144, 123737, 20230, 57106, 103854, 27384, 111044, 20230, 126574, 19732, 113727, 100481, 117201, 109954, 9174, 51330, 48154, 39177, 101083, 117876, 19732, 46729, 30926, 30512, 110176, 80195, 54926, 111482, 29295, 127181, 16325, 5486, 114363, 101275, 36668, 122924, 103306, 46729, 30926, 71289, 45829, 101662, 38144, 20230, 114363, 104611, 54926, 105908, 108608, 109335, 19732, 111243, 19361, 111108, 16995, 38641, 123794, 1811, 32977, 43514, 85791, 25827, 117876, 20230, 76537, 43514, 104526, 115226, 6447, 102677, 111482, 32977, 107991, 32149, 107118, 91763, 61689, 29295, 36896, 122571, 46729, 16556, 112454, 31431, 30512, 75293, 106358, 16995, 1981, 10646, 102677, 111482, 102052, 19732, 111243, 90962, 22398, 22398, 39850, 38641, 1811, 110999, 103868, 16144, 82973, 114792, 59739, 59739, 115789, 108608, 105879, 64209, 96356, 71634, 108744, 16144, 83747, 100604, 104654, 30512, 37705, 30369, 105908, 125545, 9174, 53900, 101083, 56965, 33014, 16144, 106592, 78698, 107800, 107803, 5486, 66953, 102860, 111817, 19732, 114308, 40862, 103836, 102677, 105755, 15682, 115191, 102351, 16144, 103031, 19732, 33334, 114308, 40862, 16995, 103792, 102677, 30926, 103350, 120332, 29295, 22023, 117943, 27479, 15682, 126574, 38641, 123794, 1811, 112237, 16144, 105578, 30512, 108703, 30369, 113334, 77181, 124897, 29295, 5486, 115191, 102351, 19732, 33334, 114308, 40862, 16995, 103792, 111482, 103306, 30591, 112568, 116907, 16144, 107624, 95001, 32977, 115442, 104533, 91763, 123671, 33541, 1811, 102131, 112990, 108436, 114731, 61826, 113245, 60358, 32938, 114308, 40862, 16995, 32977, 35757, 113764, 20230, 103130, 109315, 105908, 108608, 16144, 111769, 123253, 32149, 9174, 53900, 5486, 80631, 107, 105623, 226, 114556, 120837, 115191, 102351, 15682, 46034, 45144, 227, 16995, 38641, 1811, 126356, 112950, 21990, 29295, 19732, 111243, 21105, 96, 107277, 126020, 5486, 115191, 102351, 29295, 114731, 62004, 100934, 115191, 16144, 80631, 107, 105623, 226, 114305, 30512, 107740, 112990, 35330, 60632, 29295, 104622, 110053, 107001, 105908, 57903, 33541, 118855, 5486, 61337, 110362, 29295, 102332, 76622, 125398, 110229, 29295, 43240, 102334, 62004, 112160, 17792, 127331, 124949, 30512, 103792, 123737, 126036, 15682, 30369, 111201, 20834, 106382, 29295, 83747, 100604, 112973, 101523, 227, 48634, 107751, 105352, 5486, 103087, 35083, 30512, 115181, 126693, 58426, 17620, 46034, 40265, 38144, 29295, 59739, 47884, 103846, 5486, 101544, 47884, 114731, 62004, 100934, 61337, 110362, 107740, 16144, 115191, 102351, 15682, 31634, 116696, 48552, 39926, 33334, 126145, 57980, 118544, 110241, 33121, 107515, 9174, 122270, 5486, 126326, 71289, 20834, 106518, 16144, 104983, 105352, 108695, 55031, 46034, 40265, 29295, 16556, 33541, 1811, 103350, 104983, 20230, 115191, 102351, 19732, 33334, 114308, 40862, 16995, 123410, 100909, 110276, 104983, 5486, 61826, 104088, 16423, 105262, 126101, 108895, 95604, 102944, 107407, 106592, 53283, 76947, 33334, 126145, 51385, 64209, 38641, 123794, 9174, 71689, 5486, 115191, 102351, 19732, 114308, 40862, 30297, 17905, 16556, 102404, 21990, 54926, 39850, 37823, 67075, 109853, 48154, 126362, 121256, 6447, 85701, 103378, 46034, 45144, 227, 16995, 107430, 101275, 118816, 198, 68408, 39850, 37823, 67075, 29295, 112183, 76947, 109749, 123017, 106548, 24273, 16144, 100604, 38641, 123794, 1811, 50021, 112909, 43240, 28190, 112535, 53283, 30369, 118733, 5486, 105994, 125030, 76947, 126920, 50021, 34171, 29295, 103424, 118544, 78698, 105262, 115789, 109215, 32149, 106046, 123671, 33541, 66327, 114387, 116497, 104446, 104435, 1981, 10646, 117282, 112772, 30926, 112772, 108134, 30512, 106548, 17701, 106824, 33334, 50834, 17129, 109954, 106609, 567, 124934, 222, 23039, 102351, 19732, 126326, 54926, 68408, 39850, 37823, 67075, 198, 14711, 110834, 112008, 16556, 108436, 114731, 32977, 127181, 198, 115191, 102351, 15682, 27384, 104721, 26854, 117876, 77181, 57903, 33541, 29295, 105677, 9080, 15682, 111299, 105677, 25963, 9080, 16556, 114166, 9080, 32977, 105677, 64121, 115717, 33541, 118855, 5486, 116033, 20713, 18904, 20713, 111299, 56965, 113314, 112197, 105677, 64121, 30512, 18655, 33503, 123207, 105110, 100604, 103846, 5486, 102717, 116421, 107430, 104091, 20230, 57106, 103854, 104533, 105677, 9080, 15682, 127181, 38641, 120234, 23187, 105677, 16556, 100604, 103846, 108948, 20834, 126929, 71289, 68408, 84477, 16144, 104983, 107898, 105677, 64121, 30512, 114146, 30369, 109335, 119237, 102083, 58942, 33541, 9174, 80673, 108948, 65854, 115867, 72368, 40862, 29295, 50211, 9080, 107294, 126660, 126513, 105677, 9080, 20834, 114731, 123410, 100909, 115717, 33541, 1811, 107693, 26854, 46034, 106307, 50834, 16144, 107803, 38641, 19732, 74482, 18904, 15024, 117657, 104468, 111108, 106624, 5486, 53900, 82973, 30512, 19732, 76947, 87177, 15024, 40862, 16995, 30512, 21105, 103, 118145, 105110, 100604, 102944, 104309, 15682, 102181, 28190, 17905, 16144, 71289, 31431, 108167, 116771, 16556, 108608, 102944, 77181, 124897, 9174, 58426, 107803, 5486, 72342, 42891, 32149, 47884, 105677, 9080, 71289, 111299, 106968, 20230, 103911, 23187, 30512, 121697, 101732, 103306, 32977, 16325, 82533, 72342, 75694, 30369, 30512, 50928, 107515, 66327, 117876, 19732, 86127, 5486, 67645, 120240, 29295, 27384, 30926, 126529, 57980, 76864, 102677, 112690, 30512, 114652, 104655, 50834, 33541, 29295, 5486, 115191, 102351, 126130, 114308, 40862, 16995, 54926, 17905, 77181, 108493, 106808, 116446, 33334, 47884, 109215, 115991, 102131, 38641, 9174, 53900, 5486, 115191, 102351, 102052, 108436, 114731, 29295, 59739, 50834, 102944, 38641, 1811, 99695, 61398, 103306, 15682, 25963, 21909, 34617, 116033, 20713, 18904, 15682, 108436, 114731, 107407, 103846, 5486, 23187, 8107, 103296, 122502, 47884, 106592, 113727, 104533, 78250, 18904, 71689, 16144, 108436, 114731, 30512, 103721, 108, 31431, 104196, 17663, 100909, 115717, 33541, 1811, 127032, 125001, 26854, 95604, 86614, 59739, 16995, 100481, 47884, 115789, 125545, 29295, 5486, 127032, 29295, 119448, 47884, 109020, 107294, 106824, 121410, 18904, 59739, 16995, 100481, 47884, 105908, 111108, 106624, 109020, 109335, 33476, 62004, 107515, 109807, 126513, 110904, 96356, 28425, 112, 49988, 115717, 33541, 9174, 41920, 30358, 16556, 104654, 26955, 254, 28542, 29295, 115079, 105262, 100909, 115717, 33541, 29295, 115515, 27479, 15682, 127032, 29295, 102667, 21990, 115717, 122485, 127331, 124949, 123410, 1981, 19732, 113727, 104533, 104654, 26955, 254, 28542, 29295, 34617, 30358, 117084, 114732, 39177, 23538, 29295, 37507, 30369, 32149, 110241, 33121, 107515, 115397, 46729, 29295, 123011, 17129, 76947, 127331, 33503, 17663, 39177, 23538, 29295, 83747, 123733, 76947, 114604, 31431, 5486, 127032, 20230, 108436, 101467, 30512, 104195, 44416, 124545, 100909, 110276, 111842, 5486, 118006, 117501, 15682, 71289, 71289, 108936, 9554, 107118, 78244, 119841, 83799, 108176, 125396, 115991, 33541, 9174, 53900, 116907, 103306, 32977, 17039, 102800, 117018, 16556, 15120, 55031, 114516, 116690, 30512, 106391, 113638, 21105, 103, 118145, 105110, 100604, 71634, 108744, 30512, 113727, 104533, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 50928, 37689, 16556, 100604, 24273, 102052, 111108, 102800, 16144, 111769, 123253, 32149, 9174, 14711, 103067, 95, 106367, 29295, 15024, 20230, 47884, 16995, 198, 115191, 102351, 15682, 5486, 101083, 56965, 33014, 30512, 32335, 32977, 107693, 103984, 78434, 66327, 126326, 71289, 22957, 67645, 32977, 15682, 74482, 16556, 104712, 107188, 1981, 10646, 19732, 61826, 37705, 112586, 54926, 105933, 111482, 118816, 5486, 45163, 37507, 29295, 91774, 119841, 19732, 127408, 29295, 124195, 114732, 32149, 110241, 33121, 107515, 118855, 5486, 126326, 29430, 102052, 5486, 112599, 33334, 101083, 87177, 101983, 103836, 17905, 65743, 121142, 103470, 37271, 103296, 108436, 114731, 39926, 105898, 16325, 16556, 33334, 101083, 87177, 110276, 17905, 65743, 120332, 104680, 105352, 20834, 105350, 109768, 90620, 47884, 120266, 109709, 33541, 9174, 126326, 29430, 32977, 109466, 27384, 120650, 78183, 123207, 105110, 100604, 102677, 100909, 125651, 124845, 109466, 27384, 120650, 30297, 104856, 104533, 115515, 27479, 15682, 13177, 106627, 106367, 29295, 15024, 20230, 47884, 16995, 66383, 95604, 109606, 29295, 111179, 17905, 39926, 50834, 33541, 9174, 101544, 47884, 114308, 40862, 107462, 47884, 117591, 20230, 120007, 16144, 115389, 26854, 105494, 29295, 91774, 107290, 109749, 104468, 106548, 24273, 16144, 100604, 100909, 109900, 29295, 108064, 32149, 103283, 33121, 107294, 105722, 30369, 100909, 110276, 107803, 5486, 115191, 102351, 118816, 22398, 107391, 108506, 33710, 121247, 16995, 117084, 114732, 102131, 38641, 1811, 120550, 104533, 68759, 25197, 96452, 22398, 112984, 23187, 16144, 103359, 47523, 19732, 64121, 26854, 107001, 107803, 32977, 57903, 33541, 9174, 20834, 101083, 21105 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 79721, 29295, 5486, 22398, 70563, 113335, 16144, 74245, 112772, 120955, 56051, 11743, 111, 104622, 16144, 107908, 9458, 80805, 78459, 25005, 236, 29295, 101860, 104043, 101171, 229, 16556, 103031, 16144, 22398, 70563, 113335, 104088, 106154, 76947, 108086, 127359, 106384, 39880, 120366, 16144, 45923, 16073, 30512, 110382, 103296, 75293, 28713, 72342, 104533, 15682, 5486, 30813, 17663, 29295, 101365, 104680, 30512, 23602, 254, 100472, 115953, 122543, 19732, 99750, 64209, 109768, 79721, 1811, 126738, 110371, 106084, 30926, 16144, 30591, 19732, 5486, 51, 16519, 113245, 22398, 70563, 113335, 15682, 1774, 47018, 23897, 32943, 20230, 44416, 48249, 103646, 102131, 38641, 9174, 71689, 5486, 51, 16519, 109853, 50338, 108323, 121256, 1811, 51, 16519, 109853, 113954, 29295, 102987, 117864, 105879, 30591, 104984, 106515, 16995, 38641, 1811, 112185, 605, 8107, 105352, 112624, 28713, 100604, 39880, 102756, 65575, 119627, 106116, 48706, 99750, 19732, 114567, 101275, 98220, 111363, 117375, 48634, 15682, 30832, 112854, 17129, 102800, 102944, 115991, 33541, 1811, 89408, 32977, 67645, 103171, 125053, 107407, 32149, 19732, 111243, 105465, 21105, 123, 125651, 106609, 43511, 105352, 114567, 101275, 98220, 16144, 22398, 93488, 41758, 71289, 11883, 102158, 109853, 53283, 31431, 106956, 105908, 105693, 33503, 5486, 90178, 25340, 226, 16556, 22957, 42891, 27929, 31431, 100927, 107290, 72315, 106609, 2, 116564, 34226, 104655, 124324, 6447, 11571, 13177, 51, 16519, 10646, 76947, 67645, 103171, 25197, 102832, 52414, 36785, 42891, 76622, 11571, 102616, 16556, 32335, 32977, 19361, 13372, 26854, 114567, 108363, 30512, 17599, 117, 104792, 50338, 108323, 128001, 128000, 105268, 95604, 86614, 16995, 85791, 103171, 123737, 19732, 109739, 104369, 123017, 104712, 123682, 5486, 126326, 30512, 103984, 102212, 109156, 104028, 104856, 104533, 50021, 112909, 102647, 104369, 109215, 115991, 33541, 1811, 37729, 110783, 71289, 8107, 106036, 95, 104309, 33334, 114308, 40862, 16995, 123410, 20230, 30591, 115926, 92148, 110, 110615, 77195, 107407, 106046, 61689, 29295, 106116, 16325, 72661, 107430, 101275, 71289, 8107, 110226, 15682, 124490, 32149, 72342, 107515, 123794, 9174, 53900, 36896, 126326, 74482, 15682, 117876, 126198, 47884, 100604, 6447, 59712, 33334, 35330, 20230, 16937, 111764, 56051, 47884, 100604, 6447, 59712, 45144, 227, 103350, 26854, 114754, 104712, 76864, 119150, 111482, 15682, 127181, 116497, 9174, 110924, 16556, 6447, 37271, 18904, 15682, 115191, 102351, 16144, 103031, 30512, 105621, 67075, 54926, 41007, 30512, 48154, 126362, 78434, 6447, 107430, 75267, 20230, 111482, 29295, 43240, 115737, 107188, 32149, 20834, 38093, 119841, 120007, 119775, 91763, 61689, 29295, 5486, 103350, 104983, 15682, 106063, 96356, 123737, 29295, 127181, 105272, 110162, 124192, 77219, 77181, 115191, 102351, 19732, 126326, 54926, 39850, 37823, 67075, 55031, 103031, 120577, 32943, 28190, 71289, 106613, 111587, 109904, 101523, 227, 48634, 5486, 80539, 20834, 38093, 30297, 41007, 103296, 17599, 117, 104792, 112535, 44971, 29220, 109933, 11972, 78434, 6447, 32977, 67016, 127564, 108149, 112568, 16144, 78183, 29295, 110674, 30512, 107188, 107290, 124089, 127075, 103234, 32149, 110241, 33121, 107515, 57980, 9174, 567, 124934, 222, 23039, 102351, 19732, 126326, 54926, 39850, 37823, 67075, 198, 14711, 114794, 28190, 30832, 16556, 45144, 227, 103350, 198, 115191, 102351, 16144, 34171, 35083, 15682, 78525, 66953, 37823, 13177, 89151, 28190, 30832, 16556, 45144, 227, 103350, 10646, 38641, 9174, 33334, 65854, 103826, 113115, 39926, 104257, 121370, 32149, 59739, 21388, 107591, 16144, 100604, 107328, 27479, 30512, 64209, 115856, 76622, 123207, 105110, 100604, 104468, 67645, 16144, 107430, 104091, 105352, 78244, 105262, 100909, 119627, 5486, 121247, 30297, 102944, 119279, 35330, 16144, 103846, 89783, 82420, 20230, 95221, 30512, 124955, 30297, 100909, 115717, 33541, 118855, 5486, 121568, 108134, 16144, 108167, 121247, 16995, 32977, 16906, 111, 30358, 26854, 103846, 5486, 118430, 118095, 20230, 102663, 39880, 108744, 101198, 22398, 30512, 103792, 105933, 17792, 20230, 102781, 115464, 102944, 77181, 124897, 1811, 114715, 16144, 101198, 22398, 32977, 110008, 84389, 100604, 16144, 38641, 109807, 103846, 5486, 62903, 78459, 16073, 114267, 40053, 109375, 115991, 104398, 121867, 19967, 101275, 29295, 107202, 101983, 110104, 114754, 76706, 109526, 235, 109768, 47884, 100909, 115717, 33541, 9174, 59739, 109709, 5486, 115191, 102351, 103306, 101544, 47884, 122502, 119188, 102677, 109335, 33334, 65854, 103826, 16144, 106592, 103983, 20230, 113727, 89151, 99046, 107, 20230, 117876, 20230, 108167, 103214, 104004, 13177, 89151, 28190, 30832, 30813, 10646, 115991, 5486, 101198, 22398, 32977, 83747, 103470, 107693, 26854, 108134, 15682, 115924, 103359, 20230, 48915, 34048, 20230, 118487, 33503, 30813, 100604, 13177, 45144, 227, 103350, 30813, 118587, 110794, 114146, 100934, 102677, 106592, 115552, 103792, 16144, 38641, 9174, 112167, 101275, 117824, 103836, 17792, 127303, 104984, 33334, 65854, 103826, 19732, 28741, 20230, 71289, 31431, 108167, 123410, 100909, 115717, 33541, 55031, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 16144, 126574, 24273, 29295, 127181, 107173, 78244, 58942, 33541, 123794, 1811, 89151, 28190, 30832, 16556, 33334, 87177, 17905, 46034, 114016, 5486, 104712, 100909, 36785, 33503, 76622, 6447, 109860, 115191, 102351, 15682, 126326, 120007, 20230, 56051, 16995, 107430, 101275, 103306, 126909, 107407, 116233, 101832, 9174, 14711, 107879, 99, 42506, 9458, 126356, 112950, 21990, 29295, 126521, 198, 126326, 54926, 30297, 58942, 16556, 95221, 108176, 112973, 33334, 110698, 42506, 1811, 115191, 102351, 16144, 115274, 8107, 110226, 15682, 110219, 16144, 108695, 102351, 16144, 115274, 8107, 110226, 20230, 57106, 103854, 104533, 45736, 47884, 5486, 966, 97049, 16144, 119400, 102052, 111482, 29295, 122502, 32149, 103470, 107173, 46702, 17792, 122013, 30512, 114392, 20230, 113598, 105262, 113314, 16144, 8107, 110226, 29295, 91774, 104526, 123606, 33541, 1811, 27452, 116285, 115191, 107809, 72661, 27384, 112495, 113949, 115191, 20230, 114731, 62004, 100934, 123737, 16144, 110226, 17701, 15682, 112361, 116358, 43511, 101275, 104091, 16144, 123737, 20230, 57106, 103854, 27384, 111044, 20230, 126574, 19732, 113727, 100481, 117201, 109954, 9174, 51330, 48154, 39177, 101083, 117876, 19732, 46729, 30926, 30512, 110176, 80195, 54926, 111482, 29295, 127181, 16325, 5486, 114363, 101275, 36668, 122924, 103306, 46729, 30926, 71289, 45829, 101662, 38144, 20230, 114363, 104611, 54926, 105908, 108608, 109335, 19732, 111243, 19361, 111108, 16995, 38641, 123794, 1811, 32977, 43514, 85791, 25827, 117876, 20230, 76537, 43514, 104526, 115226, 6447, 102677, 111482, 32977, 107991, 32149, 107118, 91763, 61689, 29295, 36896, 122571, 46729, 16556, 112454, 31431, 30512, 75293, 106358, 16995, 1981, 10646, 102677, 111482, 102052, 19732, 111243, 90962, 22398, 22398, 39850, 38641, 1811, 110999, 103868, 16144, 82973, 114792, 59739, 59739, 115789, 108608, 105879, 64209, 96356, 71634, 108744, 16144, 83747, 100604, 104654, 30512, 37705, 30369, 105908, 125545, 9174, 53900, 101083, 56965, 33014, 16144, 106592, 78698, 107800, 107803, 5486, 66953, 102860, 111817, 19732, 114308, 40862, 103836, 102677, 105755, 15682, 115191, 102351, 16144, 103031, 19732, 33334, 114308, 40862, 16995, 103792, 102677, 30926, 103350, 120332, 29295, 22023, 117943, 27479, 15682, 126574, 38641, 123794, 1811, 112237, 16144, 105578, 30512, 108703, 30369, 113334, 77181, 124897, 29295, 5486, 115191, 102351, 19732, 33334, 114308, 40862, 16995, 103792, 111482, 103306, 30591, 112568, 116907, 16144, 107624, 95001, 32977, 115442, 104533, 91763, 123671, 33541, 1811, 102131, 112990, 108436, 114731, 61826, 113245, 60358, 32938, 114308, 40862, 16995, 32977, 35757, 113764, 20230, 103130, 109315, 105908, 108608, 16144, 111769, 123253, 32149, 9174, 53900, 5486, 80631, 107, 105623, 226, 114556, 120837, 115191, 102351, 15682, 46034, 45144, 227, 16995, 38641, 1811, 126356, 112950, 21990, 29295, 19732, 111243, 21105, 96, 107277, 126020, 5486, 115191, 102351, 29295, 114731, 62004, 100934, 115191, 16144, 80631, 107, 105623, 226, 114305, 30512, 107740, 112990, 35330, 60632, 29295, 104622, 110053, 107001, 105908, 57903, 33541, 118855, 5486, 61337, 110362, 29295, 102332, 76622, 125398, 110229, 29295, 43240, 102334, 62004, 112160, 17792, 127331, 124949, 30512, 103792, 123737, 126036, 15682, 30369, 111201, 20834, 106382, 29295, 83747, 100604, 112973, 101523, 227, 48634, 107751, 105352, 5486, 103087, 35083, 30512, 115181, 126693, 58426, 17620, 46034, 40265, 38144, 29295, 59739, 47884, 103846, 5486, 101544, 47884, 114731, 62004, 100934, 61337, 110362, 107740, 16144, 115191, 102351, 15682, 31634, 116696, 48552, 39926, 33334, 126145, 57980, 118544, 110241, 33121, 107515, 9174, 122270, 5486, 126326, 71289, 20834, 106518, 16144, 104983, 105352, 108695, 55031, 46034, 40265, 29295, 16556, 33541, 1811, 103350, 104983, 20230, 115191, 102351, 19732, 33334, 114308, 40862, 16995, 123410, 100909, 110276, 104983, 5486, 61826, 104088, 16423, 105262, 126101, 108895, 95604, 102944, 107407, 106592, 53283, 76947, 33334, 126145, 51385, 64209, 38641, 123794, 9174, 71689, 5486, 115191, 102351, 19732, 114308, 40862, 30297, 17905, 16556, 102404, 21990, 54926, 39850, 37823, 67075, 109853, 48154, 126362, 121256, 6447, 85701, 103378, 46034, 45144, 227, 16995, 107430, 101275, 118816, 198, 68408, 39850, 37823, 67075, 29295, 112183, 76947, 109749, 123017, 106548, 24273, 16144, 100604, 38641, 123794, 1811, 50021, 112909, 43240, 28190, 112535, 53283, 30369, 118733, 5486, 105994, 125030, 76947, 126920, 50021, 34171, 29295, 103424, 118544, 78698, 105262, 115789, 109215, 32149, 106046, 123671, 33541, 66327, 114387, 116497, 104446, 104435, 1981, 10646, 117282, 112772, 30926, 112772, 108134, 30512, 106548, 17701, 106824, 33334, 50834, 17129, 109954, 106609, 567, 124934, 222, 23039, 102351, 19732, 126326, 54926, 68408, 39850, 37823, 67075, 198, 14711, 110834, 112008, 16556, 108436, 114731, 32977, 127181, 198, 115191, 102351, 15682, 27384, 104721, 26854, 117876, 77181, 57903, 33541, 29295, 105677, 9080, 15682, 111299, 105677, 25963, 9080, 16556, 114166, 9080, 32977, 105677, 64121, 115717, 33541, 118855, 5486, 116033, 20713, 18904, 20713, 111299, 56965, 113314, 112197, 105677, 64121, 30512, 18655, 33503, 123207, 105110, 100604, 103846, 5486, 102717, 116421, 107430, 104091, 20230, 57106, 103854, 104533, 105677, 9080, 15682, 127181, 38641, 120234, 23187, 105677, 16556, 100604, 103846, 108948, 20834, 126929, 71289, 68408, 84477, 16144, 104983, 107898, 105677, 64121, 30512, 114146, 30369, 109335, 119237, 102083, 58942, 33541, 9174, 80673, 108948, 65854, 115867, 72368, 40862, 29295, 50211, 9080, 107294, 126660, 126513, 105677, 9080, 20834, 114731, 123410, 100909, 115717, 33541, 1811, 107693, 26854, 46034, 106307, 50834, 16144, 107803, 38641, 19732, 74482, 18904, 15024, 117657, 104468, 111108, 106624, 5486, 53900, 82973, 30512, 19732, 76947, 87177, 15024, 40862, 16995, 30512, 21105, 103, 118145, 105110, 100604, 102944, 104309, 15682, 102181, 28190, 17905, 16144, 71289, 31431, 108167, 116771, 16556, 108608, 102944, 77181, 124897, 9174, 58426, 107803, 5486, 72342, 42891, 32149, 47884, 105677, 9080, 71289, 111299, 106968, 20230, 103911, 23187, 30512, 121697, 101732, 103306, 32977, 16325, 82533, 72342, 75694, 30369, 30512, 50928, 107515, 66327, 117876, 19732, 86127, 5486, 67645, 120240, 29295, 27384, 30926, 126529, 57980, 76864, 102677, 112690, 30512, 114652, 104655, 50834, 33541, 29295, 5486, 115191, 102351, 126130, 114308, 40862, 16995, 54926, 17905, 77181, 108493, 106808, 116446, 33334, 47884, 109215, 115991, 102131, 38641, 9174, 53900, 5486, 115191, 102351, 102052, 108436, 114731, 29295, 59739, 50834, 102944, 38641, 1811, 99695, 61398, 103306, 15682, 25963, 21909, 34617, 116033, 20713, 18904, 15682, 108436, 114731, 107407, 103846, 5486, 23187, 8107, 103296, 122502, 47884, 106592, 113727, 104533, 78250, 18904, 71689, 16144, 108436, 114731, 30512, 103721, 108, 31431, 104196, 17663, 100909, 115717, 33541, 1811, 127032, 125001, 26854, 95604, 86614, 59739, 16995, 100481, 47884, 115789, 125545, 29295, 5486, 127032, 29295, 119448, 47884, 109020, 107294, 106824, 121410, 18904, 59739, 16995, 100481, 47884, 105908, 111108, 106624, 109020, 109335, 33476, 62004, 107515, 109807, 126513, 110904, 96356, 28425, 112, 49988, 115717, 33541, 9174, 41920, 30358, 16556, 104654, 26955, 254, 28542, 29295, 115079, 105262, 100909, 115717, 33541, 29295, 115515, 27479, 15682, 127032, 29295, 102667, 21990, 115717, 122485, 127331, 124949, 123410, 1981, 19732, 113727, 104533, 104654, 26955, 254, 28542, 29295, 34617, 30358, 117084, 114732, 39177, 23538, 29295, 37507, 30369, 32149, 110241, 33121, 107515, 115397, 46729, 29295, 123011, 17129, 76947, 127331, 33503, 17663, 39177, 23538, 29295, 83747, 123733, 76947, 114604, 31431, 5486, 127032, 20230, 108436, 101467, 30512, 104195, 44416, 124545, 100909, 110276, 111842, 5486, 118006, 117501, 15682, 71289, 71289, 108936, 9554, 107118, 78244, 119841, 83799, 108176, 125396, 115991, 33541, 9174, 53900, 116907, 103306, 32977, 17039, 102800, 117018, 16556, 15120, 55031, 114516, 116690, 30512, 106391, 113638, 21105, 103, 118145, 105110, 100604, 71634, 108744, 30512, 113727, 104533, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 50928, 37689, 16556, 100604, 24273, 102052, 111108, 102800, 16144, 111769, 123253, 32149, 9174, 14711, 103067, 95, 106367, 29295, 15024, 20230, 47884, 16995, 198, 115191, 102351, 15682, 5486, 101083, 56965, 33014, 30512, 32335, 32977, 107693, 103984, 78434, 66327, 126326, 71289, 22957, 67645, 32977, 15682, 74482, 16556, 104712, 107188, 1981, 10646, 19732, 61826, 37705, 112586, 54926, 105933, 111482, 118816, 5486, 45163, 37507, 29295, 91774, 119841, 19732, 127408, 29295, 124195, 114732, 32149, 110241, 33121, 107515, 118855, 5486, 126326, 29430, 102052, 5486, 112599, 33334, 101083, 87177, 101983, 103836, 17905, 65743, 121142, 103470, 37271, 103296, 108436, 114731, 39926, 105898, 16325, 16556, 33334, 101083, 87177, 110276, 17905, 65743, 120332, 104680, 105352, 20834, 105350, 109768, 90620, 47884, 120266, 109709, 33541, 9174, 126326, 29430, 32977, 109466, 27384, 120650, 78183, 123207, 105110, 100604, 102677, 100909, 125651, 124845, 109466, 27384, 120650, 30297, 104856, 104533, 115515, 27479, 15682, 13177, 106627, 106367, 29295, 15024, 20230, 47884, 16995, 66383, 95604, 109606, 29295, 111179, 17905, 39926, 50834, 33541, 9174, 101544, 47884, 114308, 40862, 107462, 47884, 117591, 20230, 120007, 16144, 115389, 26854, 105494, 29295, 91774, 107290, 109749, 104468, 106548, 24273, 16144, 100604, 100909, 109900, 29295, 108064, 32149, 103283, 33121, 107294, 105722, 30369, 100909, 110276, 107803, 5486, 115191, 102351, 118816, 22398, 107391, 108506, 33710, 121247, 16995, 117084, 114732, 102131, 38641, 1811, 120550, 104533, 68759, 25197, 96452, 22398, 112984, 23187, 16144, 103359, 47523, 19732, 64121, 26854, 107001, 107803, 32977, 57903, 33541, 9174, 20834, 101083, 21105 ]
[ 103, 16995, 19732, 8107, 110226, 29295, 115442, 110104, 1981, 104856, 104533, 112160, 27479, 126326, 39926, 114604, 107803, 106627, 106367, 20230, 106608, 100204, 30369, 109335, 111108, 21105, 251, 30297, 38641, 1811, 126326, 30512, 105047, 104699, 123017, 57980, 16995, 119627, 5486, 62903, 78459, 16073, 19732, 16325, 96356, 30512, 7305, 253, 103868, 54926, 115789, 109215, 38641, 9174, 14711, 107860, 110, 64121, 38093, 29295, 127181, 198, 53900, 5486, 115191, 102351, 15682, 108436, 114731, 29295, 127181, 100909, 55031, 121410, 9953, 119775, 37705, 109169, 38093, 71289, 15722, 241, 109169, 38093, 29295, 23039, 123671, 33541, 1811, 59739, 109709, 115320, 64121, 38093, 29295, 19732, 111243, 127181, 38641, 9174, 28713, 17129, 102052, 122013, 16556, 48915, 102456, 29295, 56051, 16995, 106046, 114598, 5486, 117876, 16144, 116690, 17905, 113487, 76622, 121406, 104468, 111108, 21105, 251, 30297, 1811, 115191, 102351, 19732, 126326, 54926, 126513, 108895, 16995, 100472, 21105, 235, 115926, 114475, 76622, 125639, 114318, 29295, 62004, 100604, 104466, 54926, 109215, 115991, 33541, 101832, 9174, 14711, 107090, 223, 43514, 46729, 119703, 126513, 108729, 112535, 61337, 110362, 198, 102717, 32149, 105352, 5486, 110794, 46729, 119703, 126513, 108729, 112535, 61337, 110362, 16556, 104654, 54926, 100909, 115717, 33541, 1811, 80631, 107, 35330, 123410, 105908, 125545, 55031, 34617, 27113, 31640, 74482, 103268, 16556, 68759, 25197, 103927, 103202, 29295, 109198, 17701, 103082, 104533, 78698, 107290, 33334, 50834, 17129, 109954, 109900, 17129, 77181, 108436, 114731, 32977, 57903, 33541, 55031, 5486, 43568, 22649, 20230, 109198, 17701, 54926, 109335, 72342, 101860, 61337, 110362, 117758, 105335, 84477, 114318, 112854, 125636, 39926, 33334, 47884, 109215, 115991, 33541, 9174, 30813, 38144, 5486, 115191, 102351, 19732, 33334, 114308, 40862, 16995, 54926, 17905, 113245, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 30512, 102178, 111665, 121256, 1811, 105755, 15120, 114050, 13177, 115191, 102351, 19732, 20834, 38093, 102334, 16995, 76864, 102677, 120208, 29295, 45951, 121, 21990, 107800, 24273, 32977, 16995, 33503, 42891, 116826, 30369, 16144, 111769, 123253, 32149, 1811, 110382, 126328, 115191, 102351, 19732, 20834, 38093, 30297, 41007, 126130, 100927, 58942, 78434, 6447, 103768, 51609, 15682, 105994, 16556, 19012, 112, 104004, 102944, 5486, 105994, 20230, 40862, 100472, 41007, 16556, 109657, 16995, 100853, 116, 30512, 46034, 103721, 108, 31431, 108385, 72342, 100481, 50834, 17129, 109954, 106609, 567, 124934, 222, 23039, 102351, 16144, 103031, 19732, 20834, 38093, 30297, 41007, 44597, 102647, 198, 14711, 124934, 222, 23039, 16144, 60358, 47884, 112197, 72516, 102416, 49691, 113, 105085, 120650, 47884, 198, 46034, 117355, 30813, 49617, 49617, 47238, 105961, 38093, 114774, 17663, 30813, 27347, 47238, 47238, 47238, 47238, 198, 112167, 101275, 107430, 120332, 15682, 26854, 107188, 32149, 33334, 38093, 16995, 54926, 105908, 111108, 102800, 32149, 110241, 33121, 107515, 29295, 5486, 123357, 117876, 120332, 118816, 60358, 47884, 112197, 72516, 16556, 48154, 114053, 30512, 111587, 105823, 30369, 115789, 57903, 33541, 123794, 122262, 11881, 120, 119400, 104088, 82420, 33503, 76947, 49691, 113, 105085, 120650, 76622, 81219, 5486, 95221, 108176, 115191, 102351, 104088, 59739, 105784, 105908, 108608, 32149, 110241, 33121, 107515, 9174, 90620, 33334, 103882, 16144, 105350, 111769, 16144, 19732, 108149, 47884, 17129, 72661, 81258, 101275, 16325, 16144, 40862, 56965, 103195, 103846, 71174, 119707, 105784, 109335, 111108, 102800, 32149, 110241, 33121, 107515, 1811, 67016, 21105, 232, 72516, 16556, 118430, 118095, 126365, 32149, 105784, 40053, 89046, 16144, 105791, 15682, 112854, 58942, 126172, 16995, 38641, 123794, 1811, 60868, 124366, 101198, 115307, 8239, 114503, 16556, 120007, 16144, 37689, 109375, 20230, 105994, 30512, 114601, 31431, 104526, 105823, 5486, 106353, 111201, 109933, 107446, 30512, 30297, 32149, 29295, 30297, 123017, 39880, 37823, 111769, 123253, 32149, 9174, 32977, 43514, 85791, 25827, 108948, 11881, 120, 121142, 103470, 112454, 31431, 111848, 104157, 103882, 102571, 104309, 30512, 37823, 60868, 113335, 39926, 33334, 119064, 32977, 15120, 118821, 46034, 38641, 122262, 103882, 29295, 17701, 107462, 104984, 32977, 67016, 112990, 38093, 87177, 16144, 109933, 107446, 29295, 116348, 76947, 109749, 32149, 110241, 33121, 107515, 57980, 9174, 14711, 127541, 106367, 50021, 111813, 32938, 30512, 107740, 54926, 198, 46034, 117355, 30813, 27347, 47238, 47238, 47238, 47238, 105961, 38093, 114774, 17663, 30813, 49617, 27347, 47238, 47238, 198, 114363, 49988, 16144, 47260, 114228, 57183, 102750, 108337, 16144, 24186, 5486, 105994, 20230, 68759, 108981, 103792, 50021, 112909, 126362, 120837, 110706, 5486, 28190, 111813, 117824, 30297, 41007, 38641, 1811, 105184, 103350, 20230, 126521, 17792, 19732, 20834, 38093, 102334, 16995, 106046, 103836, 114754, 43240, 102334, 62004, 108948, 114308, 40862, 16995, 102416, 102404, 77413, 54926, 22398, 70563, 65575, 15682, 95399, 118544, 106046, 61689, 118855, 5486, 127177, 41007, 20230, 57106, 115694, 106382, 11883, 29295, 43240, 47884, 32149, 117295, 103846, 106116, 47260, 71634, 30512, 110498, 31431, 104087, 58942, 110071, 108680, 16144, 112686, 48634, 107407, 102677, 64467, 105888, 115717, 102131, 38641, 9174, 15120, 24273, 16556, 111482, 110366, 32977, 47260, 71634, 29295, 32149, 126469, 114732, 112973, 111108, 28542, 1811, 105184, 103350, 117158, 38093, 102334, 16995, 24273, 102052, 33334, 53508, 100, 62004, 119627, 108948, 112686, 52927, 19732, 50021, 111813, 54926, 109215, 115991, 102131, 125651, 9174, 7058, 68431, 27951, 96, 47260, 101198, 30512, 125261, 39926, 102647, 102189, 33334, 125683, 62004, 16144, 126326, 50021, 111813, 32938, 93488, 119557, 198, 13177, 89151, 119063, 20230, 126326, 30512, 113727, 100934, 10646, 45631, 37271, 114225, 20230, 72661, 126326, 56051, 16995, 76864, 45631, 106367, 76706, 116229, 71289, 106367, 76706, 80805, 117675, 11972, 20230, 110284, 120837, 26854, 107188, 32149, 104712, 114754, 91774, 59739, 124403, 76864, 220, 102131, 56051, 101128, 102, 64121, 30512, 108623, 107800, 24273, 29295, 127181, 112973, 114318, 111243, 127181, 106046, 61689, 1811, 220, 107943, 101128, 102, 64121, 117054, 14711, 122738, 248, 76706, 80805, 117675, 11972, 102416, 102780, 30512, 103768, 104369, 198, 46034, 117355, 30813, 49617, 47238, 47238, 47238, 105961, 38093, 114774, 17663, 30813, 49617, 49617, 47238, 198, 126326, 120007, 104088, 59739, 105784, 124122, 113841, 38093, 38641, 1811, 117876, 16325, 15682, 32977, 43514, 85791, 25827, 5486, 127408, 23187, 26854, 105677, 64121, 16144, 26854, 32149, 16556, 120007, 104088, 59739, 105784, 104468, 26854, 107188, 32149, 111108, 15024, 102334, 62004, 5486, 115191, 102351, 29295, 117943, 30369, 112973, 106367, 76706, 80805, 117675, 11972, 115717, 33541, 9174, 112599, 15682, 103826, 104680, 26854, 78683, 106240, 20230, 114146, 28713, 102944, 29295, 48706, 15024, 19732, 31431, 5486, 107430, 104091, 119379, 16144, 80805, 117675, 11972, 104309, 32977, 101182, 102131, 38641, 1811, 13357, 229, 116169, 20230, 106767, 17663, 109215, 29295, 114485, 30369, 118733, 101462, 247, 16995, 29295, 23187, 62004, 126172, 47884, 109020, 16144, 111769, 123253, 32149, 1811, 67016, 21105, 251, 16144, 107803, 5486, 105994, 32977, 101523, 227, 48634, 16144, 101182, 111482, 101983, 33503, 123207, 105110, 100604, 103846, 5486, 80805, 117675, 11972, 20230, 110284, 54926, 20230, 30591, 28713, 76947, 105994, 118368, 50834, 30512, 17486, 254, 110104, 104466, 103801, 109954, 9174, 68431, 106369, 125683, 62004, 15682, 67645, 33121, 11571, 106367, 76706, 80805, 117675, 11972, 30512, 17599, 117, 104792, 125261, 198, 124773, 123437, 67075, 16556, 106367, 76706, 123410, 114754, 115079, 107290, 50834, 79721, 109900, 116749, 105352, 104773, 109713, 71289, 106367, 76706, 110590, 108948, 91774, 40862, 16995, 80805, 117675, 11972, 104309, 16556, 33334, 50021, 112909, 106767, 17663, 17792, 32977, 121771, 98369, 61689, 101832, 1811, 101961, 11881, 242, 25580, 126036, 20834, 38093, 117714, 109933, 107446, 15682, 41758, 26269, 19732, 43240, 115737, 121118, 101200, 16556, 5486, 107430, 101275, 71289, 117054, 14711, 107929, 108, 104091, 101275, 113841, 80805, 117675, 11972, 102416, 110284, 39926, 64121, 30369, 198, 46034, 117355, 30813, 49617, 47238, 47238, 47238, 105961, 38093, 114774, 17663, 30813, 49617, 47238, 47238, 47238, 198, 103826, 104680, 26854, 107430, 104091, 16144, 114754, 43167, 109709, 91482, 76428, 102750, 117718, 59739, 105722, 31431, 30512, 108285, 102639, 30369, 124122, 113841, 38093, 38641, 1811, 111943, 103926, 71289, 98915, 17792, 116690, 16144, 106391, 113638, 102677, 105755, 15682, 91482, 76428, 102750, 22398, 20230, 121801, 30512, 22324, 119188, 103846, 5486, 117876, 20230, 89151, 99046, 107, 20230, 76537, 43514, 104526, 126559, 115191, 102351, 19732, 20834, 38093, 105262, 125396, 29295, 45736, 117714, 111769, 123253, 32149, 118855, 5486, 15682, 100204, 62004, 15682, 13372, 110456, 39209, 109033, 55031, 27704, 115464, 103846, 5486, 96356, 24186, 16144, 50520, 238, 25666, 30512, 64209, 55487, 54926, 109215, 15682, 26854, 30813, 102131, 38641, 9174, 80673, 72368, 64209, 16556, 100604, 19732, 76706, 102404, 120650, 123671, 126386, 100909, 71289, 112160, 27479, 20230, 43167, 115464, 114754, 127181, 107803, 71174, 119707, 105784, 105908, 111108, 106624, 26854, 76947, 114732, 102083, 100472, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 1811, 126326, 50021, 112909, 106767, 17663, 5486, 102677, 105755, 32149, 15682, 115191, 102351, 110792, 59739, 105722, 31431, 104088, 126268, 5486, 116907, 32977, 117876, 102416, 76537, 43514, 104526, 104004, 110783, 110095, 116825, 109749, 75146, 114457, 109669, 47884, 31431, 36785, 106046, 76947, 110284, 112990, 57980, 117201, 109954, 9174, 14711, 122738, 248, 76706, 116229, 30512, 107740, 54926, 198, 46034, 117355, 30813, 49617, 49617, 27347, 105961, 38093, 114774, 17663, 30813, 49617, 49617, 47238, 198, 124773, 123437, 67075, 30512, 33035, 100204, 38144, 95221, 108176, 50021, 112909, 106767, 17663, 41007, 38641, 1811, 102717, 116421, 41007, 19732, 125261, 39926, 106382, 11883, 29295, 32149, 118969, 100604, 110229, 29295, 27384, 112495, 60632, 28542, 19732, 78244, 58942, 33541, 1811, 111482, 127303, 104984, 27384, 33014, 16144, 121432, 30512, 92693, 16556, 33655, 30297, 105908, 125545, 55031, 5486, 20834, 38093, 117714, 50834, 42891, 126929, 20230, 47260, 71634, 30512, 111017, 47884, 109215, 29295, 123733, 31431, 33541, 101832, 9174, 53900, 5486, 125104, 103792, 120007, 32977, 33334, 114308, 40862, 16995, 123410, 50021, 112909, 106767, 103792, 103846, 5486, 103350, 104983, 20230, 38093, 30297, 103296, 16144, 82973, 119707, 105784, 109215, 32977, 124897, 1811, 115191, 102351, 19732, 78244, 114598, 95598, 17792, 95598, 39135, 5486, 110241, 34171, 35083, 29295, 40862, 78183, 100604, 19732, 112391, 30369, 105908, 30591, 104984, 114225, 114556, 108826, 30512, 102769, 30369, 105908, 108608, 123017, 101523, 227, 48634, 1811, 117896, 29295, 102769, 124195, 114732, 112997, 29220, 32977, 32977, 43514, 85791, 25827, 57903, 33541, 29295, 5486, 20834, 38093, 30297, 119318, 116310, 15682, 105184, 103350, 20230, 108285, 29295, 31431, 33541, 57980, 106609, 68431, 27951, 96, 47260, 101198, 30512, 125261, 39926, 102647, 102189, 33334, 125683, 62004, 16144, 106367, 76706, 116229, 93488, 119557, 198, 124773, 123437, 67075, 16556, 106367, 76706, 123410, 104468, 112599, 77181, 40265, 115926, 25580, 117084, 50834, 79721, 29295, 5486, 106367, 76706, 16144, 124122, 16995, 78183, 106644, 30369, 13177, 106367, 76706, 116229, 10646, 15682, 104091, 104770, 32977, 43240, 47884, 67645, 33121, 30512, 102647, 103854, 81219, 57980, 16995, 104865, 78183, 124403, 102677, 24273, 32977, 16995, 33503, 42891, 116826, 30369, 123253, 1811, 127541, 106367, 50021, 112909, 106767, 17663, 104983, 20230, 124773, 117054, 30813, 38144, 5486, 115191, 102351, 19732, 20834, 38093, 30297, 41007, 30512, 48154, 126362, 121256, 1811, 70563, 16073, 19732, 109749, 102944, 15682, 57903, 79721, 123253, 32149, 11571, 116882, 30046, 103306, 15682, 106367, 76706, 116229, 16144, 107740, 30512, 90962, 22398, 22398, 39850, 78434, 1811, 115191, 102351, 77181, 57903, 105823, 104127, 56051, 29295, 5486, 125104, 39926, 15120, 32149, 9953, 28713, 28713, 26854, 95604, 43514, 20230, 103350, 104983, 20230, 103242, 30046, 19732, 102456, 30926, 123410, 105908, 103082, 79721, 1811, 111482, 105110, 91763, 124059, 30591, 22957, 29295, 106824, 114732, 107430, 101275, 20230, 81258, 119188, 123737, 32977, 121771, 98369, 125104, 127145, 15024, 5486, 37689, 48915, 19732, 112825, 110904, 20230, 38093, 30297, 105908, 108608, 123017, 101523, 227, 48634, 38641, 1811, 112371, 104328, 109933, 111999, 76428, 39926, 64121, 38144, 72315, 101832, 9174, 80673, 5486, 46034, 38574, 29295, 17620, 32149, 114598, 115191, 102351, 16144, 123737, 15682, 67645, 120950, 111482, 30512, 32018, 62004, 100934, 105879, 109954, 32149, 1811, 33671, 15682, 13177, 115191, 102351, 29295, 53901, 112495, 111482, 16144, 117809, 10646, 109853, 48154, 126362, 78434, 9174, 567, 124934, 222, 23039, 102351, 29295, 126326, 120007, 20230, 32018, 109315, 111482, 16144, 117809, 107118, 198, 115191, 102351, 102052, 108436, 114731, 29295, 59739, 50834, 102944, 1811, 123716, 103130, 16144, 77195, 20230, 96412, 17129, 115032, 100909, 55031, 5486, 117876, 20230, 89151, 119063, 127303, 104984, 101182, 108680, 108436, 114731, 29295, 59739, 50834, 17129, 78699, 100909, 115717, 33541, 118855, 5486, 61826, 108680, 32977, 43032, 103854, 28713, 104466, 105677, 117816, 117876, 29295, 17701, 30369, 105908, 43240, 102334, 62004, 5486, 72342, 42891, 32149, 119064, 68408, 84477, 30512, 45923, 47307, 107391, 16073, 84389, 104702, 100472, 1981, 114016, 115789, 125119, 31431, 58942, 33541, 9174, 111482, 110366, 103306, 15682, 13177, 57903, 119841, 76864, 119150, 115789, 43240, 104680, 101182, 32149, 110241, 33121, 107515, 29295, 5486, 117876, 17905, 104405, 120837, 48915, 72342, 100604, 11883, 30926, 29295, 21990, 123606, 126172, 16995, 112973, 115191, 102351, 102677, 102944, 1811, 103031, 120577, 115517, 30512, 113954, 15024, 5486, 110008, 39926, 122765, 110071, 111482, 29295, 32018, 62004, 124195, 61689, 1811, 110382, 16556, 107693, 26854, 112973, 114709, 110020, 39926, 122765, 30369, 59712, 110008, 39926, 122765, 30369, 66383, 95604, 13177, 106548, 24273, 26854, 30813, 10646, 71289, 13177, 17905, 55031, 30832, 101911, 118587, 125636, 117063, 38144, 112987, 124324, 102677, 100909, 38641, 9174, 115191, 102351, 15682, 89151, 99046, 107, 20230, 117876, 30512, 22957, 26854, 103792, 26854, 32149, 16556, 5486, 46456, 107290, 124089, 116497, 16144, 114516, 20230, 16995, 43514, 16995, 43514, 71634, 108744, 30512, 36117, 250, 62004, 102204, 100481, 38144, 15682, 126419, 20230, 102334, 16995, 106046, 114598, 33503, 30297, 104468, 111108, 102800, 16144, 111769, 123253, 32149, 9174, 13177, 27384, 121313, 120572, 1811, 104446, 30591, 122485, 16556, 23039 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103, 16995, 19732, 8107, 110226, 29295, 115442, 110104, 1981, 104856, 104533, 112160, 27479, 126326, 39926, 114604, 107803, 106627, 106367, 20230, 106608, 100204, 30369, 109335, 111108, 21105, 251, 30297, 38641, 1811, 126326, 30512, 105047, 104699, 123017, 57980, 16995, 119627, 5486, 62903, 78459, 16073, 19732, 16325, 96356, 30512, 7305, 253, 103868, 54926, 115789, 109215, 38641, 9174, 14711, 107860, 110, 64121, 38093, 29295, 127181, 198, 53900, 5486, 115191, 102351, 15682, 108436, 114731, 29295, 127181, 100909, 55031, 121410, 9953, 119775, 37705, 109169, 38093, 71289, 15722, 241, 109169, 38093, 29295, 23039, 123671, 33541, 1811, 59739, 109709, 115320, 64121, 38093, 29295, 19732, 111243, 127181, 38641, 9174, 28713, 17129, 102052, 122013, 16556, 48915, 102456, 29295, 56051, 16995, 106046, 114598, 5486, 117876, 16144, 116690, 17905, 113487, 76622, 121406, 104468, 111108, 21105, 251, 30297, 1811, 115191, 102351, 19732, 126326, 54926, 126513, 108895, 16995, 100472, 21105, 235, 115926, 114475, 76622, 125639, 114318, 29295, 62004, 100604, 104466, 54926, 109215, 115991, 33541, 101832, 9174, 14711, 107090, 223, 43514, 46729, 119703, 126513, 108729, 112535, 61337, 110362, 198, 102717, 32149, 105352, 5486, 110794, 46729, 119703, 126513, 108729, 112535, 61337, 110362, 16556, 104654, 54926, 100909, 115717, 33541, 1811, 80631, 107, 35330, 123410, 105908, 125545, 55031, 34617, 27113, 31640, 74482, 103268, 16556, 68759, 25197, 103927, 103202, 29295, 109198, 17701, 103082, 104533, 78698, 107290, 33334, 50834, 17129, 109954, 109900, 17129, 77181, 108436, 114731, 32977, 57903, 33541, 55031, 5486, 43568, 22649, 20230, 109198, 17701, 54926, 109335, 72342, 101860, 61337, 110362, 117758, 105335, 84477, 114318, 112854, 125636, 39926, 33334, 47884, 109215, 115991, 33541, 9174, 30813, 38144, 5486, 115191, 102351, 19732, 33334, 114308, 40862, 16995, 54926, 17905, 113245, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 30512, 102178, 111665, 121256, 1811, 105755, 15120, 114050, 13177, 115191, 102351, 19732, 20834, 38093, 102334, 16995, 76864, 102677, 120208, 29295, 45951, 121, 21990, 107800, 24273, 32977, 16995, 33503, 42891, 116826, 30369, 16144, 111769, 123253, 32149, 1811, 110382, 126328, 115191, 102351, 19732, 20834, 38093, 30297, 41007, 126130, 100927, 58942, 78434, 6447, 103768, 51609, 15682, 105994, 16556, 19012, 112, 104004, 102944, 5486, 105994, 20230, 40862, 100472, 41007, 16556, 109657, 16995, 100853, 116, 30512, 46034, 103721, 108, 31431, 108385, 72342, 100481, 50834, 17129, 109954, 106609, 567, 124934, 222, 23039, 102351, 16144, 103031, 19732, 20834, 38093, 30297, 41007, 44597, 102647, 198, 14711, 124934, 222, 23039, 16144, 60358, 47884, 112197, 72516, 102416, 49691, 113, 105085, 120650, 47884, 198, 46034, 117355, 30813, 49617, 49617, 47238, 105961, 38093, 114774, 17663, 30813, 27347, 47238, 47238, 47238, 47238, 198, 112167, 101275, 107430, 120332, 15682, 26854, 107188, 32149, 33334, 38093, 16995, 54926, 105908, 111108, 102800, 32149, 110241, 33121, 107515, 29295, 5486, 123357, 117876, 120332, 118816, 60358, 47884, 112197, 72516, 16556, 48154, 114053, 30512, 111587, 105823, 30369, 115789, 57903, 33541, 123794, 122262, 11881, 120, 119400, 104088, 82420, 33503, 76947, 49691, 113, 105085, 120650, 76622, 81219, 5486, 95221, 108176, 115191, 102351, 104088, 59739, 105784, 105908, 108608, 32149, 110241, 33121, 107515, 9174, 90620, 33334, 103882, 16144, 105350, 111769, 16144, 19732, 108149, 47884, 17129, 72661, 81258, 101275, 16325, 16144, 40862, 56965, 103195, 103846, 71174, 119707, 105784, 109335, 111108, 102800, 32149, 110241, 33121, 107515, 1811, 67016, 21105, 232, 72516, 16556, 118430, 118095, 126365, 32149, 105784, 40053, 89046, 16144, 105791, 15682, 112854, 58942, 126172, 16995, 38641, 123794, 1811, 60868, 124366, 101198, 115307, 8239, 114503, 16556, 120007, 16144, 37689, 109375, 20230, 105994, 30512, 114601, 31431, 104526, 105823, 5486, 106353, 111201, 109933, 107446, 30512, 30297, 32149, 29295, 30297, 123017, 39880, 37823, 111769, 123253, 32149, 9174, 32977, 43514, 85791, 25827, 108948, 11881, 120, 121142, 103470, 112454, 31431, 111848, 104157, 103882, 102571, 104309, 30512, 37823, 60868, 113335, 39926, 33334, 119064, 32977, 15120, 118821, 46034, 38641, 122262, 103882, 29295, 17701, 107462, 104984, 32977, 67016, 112990, 38093, 87177, 16144, 109933, 107446, 29295, 116348, 76947, 109749, 32149, 110241, 33121, 107515, 57980, 9174, 14711, 127541, 106367, 50021, 111813, 32938, 30512, 107740, 54926, 198, 46034, 117355, 30813, 27347, 47238, 47238, 47238, 47238, 105961, 38093, 114774, 17663, 30813, 49617, 27347, 47238, 47238, 198, 114363, 49988, 16144, 47260, 114228, 57183, 102750, 108337, 16144, 24186, 5486, 105994, 20230, 68759, 108981, 103792, 50021, 112909, 126362, 120837, 110706, 5486, 28190, 111813, 117824, 30297, 41007, 38641, 1811, 105184, 103350, 20230, 126521, 17792, 19732, 20834, 38093, 102334, 16995, 106046, 103836, 114754, 43240, 102334, 62004, 108948, 114308, 40862, 16995, 102416, 102404, 77413, 54926, 22398, 70563, 65575, 15682, 95399, 118544, 106046, 61689, 118855, 5486, 127177, 41007, 20230, 57106, 115694, 106382, 11883, 29295, 43240, 47884, 32149, 117295, 103846, 106116, 47260, 71634, 30512, 110498, 31431, 104087, 58942, 110071, 108680, 16144, 112686, 48634, 107407, 102677, 64467, 105888, 115717, 102131, 38641, 9174, 15120, 24273, 16556, 111482, 110366, 32977, 47260, 71634, 29295, 32149, 126469, 114732, 112973, 111108, 28542, 1811, 105184, 103350, 117158, 38093, 102334, 16995, 24273, 102052, 33334, 53508, 100, 62004, 119627, 108948, 112686, 52927, 19732, 50021, 111813, 54926, 109215, 115991, 102131, 125651, 9174, 7058, 68431, 27951, 96, 47260, 101198, 30512, 125261, 39926, 102647, 102189, 33334, 125683, 62004, 16144, 126326, 50021, 111813, 32938, 93488, 119557, 198, 13177, 89151, 119063, 20230, 126326, 30512, 113727, 100934, 10646, 45631, 37271, 114225, 20230, 72661, 126326, 56051, 16995, 76864, 45631, 106367, 76706, 116229, 71289, 106367, 76706, 80805, 117675, 11972, 20230, 110284, 120837, 26854, 107188, 32149, 104712, 114754, 91774, 59739, 124403, 76864, 220, 102131, 56051, 101128, 102, 64121, 30512, 108623, 107800, 24273, 29295, 127181, 112973, 114318, 111243, 127181, 106046, 61689, 1811, 220, 107943, 101128, 102, 64121, 117054, 14711, 122738, 248, 76706, 80805, 117675, 11972, 102416, 102780, 30512, 103768, 104369, 198, 46034, 117355, 30813, 49617, 47238, 47238, 47238, 105961, 38093, 114774, 17663, 30813, 49617, 49617, 47238, 198, 126326, 120007, 104088, 59739, 105784, 124122, 113841, 38093, 38641, 1811, 117876, 16325, 15682, 32977, 43514, 85791, 25827, 5486, 127408, 23187, 26854, 105677, 64121, 16144, 26854, 32149, 16556, 120007, 104088, 59739, 105784, 104468, 26854, 107188, 32149, 111108, 15024, 102334, 62004, 5486, 115191, 102351, 29295, 117943, 30369, 112973, 106367, 76706, 80805, 117675, 11972, 115717, 33541, 9174, 112599, 15682, 103826, 104680, 26854, 78683, 106240, 20230, 114146, 28713, 102944, 29295, 48706, 15024, 19732, 31431, 5486, 107430, 104091, 119379, 16144, 80805, 117675, 11972, 104309, 32977, 101182, 102131, 38641, 1811, 13357, 229, 116169, 20230, 106767, 17663, 109215, 29295, 114485, 30369, 118733, 101462, 247, 16995, 29295, 23187, 62004, 126172, 47884, 109020, 16144, 111769, 123253, 32149, 1811, 67016, 21105, 251, 16144, 107803, 5486, 105994, 32977, 101523, 227, 48634, 16144, 101182, 111482, 101983, 33503, 123207, 105110, 100604, 103846, 5486, 80805, 117675, 11972, 20230, 110284, 54926, 20230, 30591, 28713, 76947, 105994, 118368, 50834, 30512, 17486, 254, 110104, 104466, 103801, 109954, 9174, 68431, 106369, 125683, 62004, 15682, 67645, 33121, 11571, 106367, 76706, 80805, 117675, 11972, 30512, 17599, 117, 104792, 125261, 198, 124773, 123437, 67075, 16556, 106367, 76706, 123410, 114754, 115079, 107290, 50834, 79721, 109900, 116749, 105352, 104773, 109713, 71289, 106367, 76706, 110590, 108948, 91774, 40862, 16995, 80805, 117675, 11972, 104309, 16556, 33334, 50021, 112909, 106767, 17663, 17792, 32977, 121771, 98369, 61689, 101832, 1811, 101961, 11881, 242, 25580, 126036, 20834, 38093, 117714, 109933, 107446, 15682, 41758, 26269, 19732, 43240, 115737, 121118, 101200, 16556, 5486, 107430, 101275, 71289, 117054, 14711, 107929, 108, 104091, 101275, 113841, 80805, 117675, 11972, 102416, 110284, 39926, 64121, 30369, 198, 46034, 117355, 30813, 49617, 47238, 47238, 47238, 105961, 38093, 114774, 17663, 30813, 49617, 47238, 47238, 47238, 198, 103826, 104680, 26854, 107430, 104091, 16144, 114754, 43167, 109709, 91482, 76428, 102750, 117718, 59739, 105722, 31431, 30512, 108285, 102639, 30369, 124122, 113841, 38093, 38641, 1811, 111943, 103926, 71289, 98915, 17792, 116690, 16144, 106391, 113638, 102677, 105755, 15682, 91482, 76428, 102750, 22398, 20230, 121801, 30512, 22324, 119188, 103846, 5486, 117876, 20230, 89151, 99046, 107, 20230, 76537, 43514, 104526, 126559, 115191, 102351, 19732, 20834, 38093, 105262, 125396, 29295, 45736, 117714, 111769, 123253, 32149, 118855, 5486, 15682, 100204, 62004, 15682, 13372, 110456, 39209, 109033, 55031, 27704, 115464, 103846, 5486, 96356, 24186, 16144, 50520, 238, 25666, 30512, 64209, 55487, 54926, 109215, 15682, 26854, 30813, 102131, 38641, 9174, 80673, 72368, 64209, 16556, 100604, 19732, 76706, 102404, 120650, 123671, 126386, 100909, 71289, 112160, 27479, 20230, 43167, 115464, 114754, 127181, 107803, 71174, 119707, 105784, 105908, 111108, 106624, 26854, 76947, 114732, 102083, 100472, 68408, 39850, 37823, 67075, 32977, 57903, 33541, 1811, 126326, 50021, 112909, 106767, 17663, 5486, 102677, 105755, 32149, 15682, 115191, 102351, 110792, 59739, 105722, 31431, 104088, 126268, 5486, 116907, 32977, 117876, 102416, 76537, 43514, 104526, 104004, 110783, 110095, 116825, 109749, 75146, 114457, 109669, 47884, 31431, 36785, 106046, 76947, 110284, 112990, 57980, 117201, 109954, 9174, 14711, 122738, 248, 76706, 116229, 30512, 107740, 54926, 198, 46034, 117355, 30813, 49617, 49617, 27347, 105961, 38093, 114774, 17663, 30813, 49617, 49617, 47238, 198, 124773, 123437, 67075, 30512, 33035, 100204, 38144, 95221, 108176, 50021, 112909, 106767, 17663, 41007, 38641, 1811, 102717, 116421, 41007, 19732, 125261, 39926, 106382, 11883, 29295, 32149, 118969, 100604, 110229, 29295, 27384, 112495, 60632, 28542, 19732, 78244, 58942, 33541, 1811, 111482, 127303, 104984, 27384, 33014, 16144, 121432, 30512, 92693, 16556, 33655, 30297, 105908, 125545, 55031, 5486, 20834, 38093, 117714, 50834, 42891, 126929, 20230, 47260, 71634, 30512, 111017, 47884, 109215, 29295, 123733, 31431, 33541, 101832, 9174, 53900, 5486, 125104, 103792, 120007, 32977, 33334, 114308, 40862, 16995, 123410, 50021, 112909, 106767, 103792, 103846, 5486, 103350, 104983, 20230, 38093, 30297, 103296, 16144, 82973, 119707, 105784, 109215, 32977, 124897, 1811, 115191, 102351, 19732, 78244, 114598, 95598, 17792, 95598, 39135, 5486, 110241, 34171, 35083, 29295, 40862, 78183, 100604, 19732, 112391, 30369, 105908, 30591, 104984, 114225, 114556, 108826, 30512, 102769, 30369, 105908, 108608, 123017, 101523, 227, 48634, 1811, 117896, 29295, 102769, 124195, 114732, 112997, 29220, 32977, 32977, 43514, 85791, 25827, 57903, 33541, 29295, 5486, 20834, 38093, 30297, 119318, 116310, 15682, 105184, 103350, 20230, 108285, 29295, 31431, 33541, 57980, 106609, 68431, 27951, 96, 47260, 101198, 30512, 125261, 39926, 102647, 102189, 33334, 125683, 62004, 16144, 106367, 76706, 116229, 93488, 119557, 198, 124773, 123437, 67075, 16556, 106367, 76706, 123410, 104468, 112599, 77181, 40265, 115926, 25580, 117084, 50834, 79721, 29295, 5486, 106367, 76706, 16144, 124122, 16995, 78183, 106644, 30369, 13177, 106367, 76706, 116229, 10646, 15682, 104091, 104770, 32977, 43240, 47884, 67645, 33121, 30512, 102647, 103854, 81219, 57980, 16995, 104865, 78183, 124403, 102677, 24273, 32977, 16995, 33503, 42891, 116826, 30369, 123253, 1811, 127541, 106367, 50021, 112909, 106767, 17663, 104983, 20230, 124773, 117054, 30813, 38144, 5486, 115191, 102351, 19732, 20834, 38093, 30297, 41007, 30512, 48154, 126362, 121256, 1811, 70563, 16073, 19732, 109749, 102944, 15682, 57903, 79721, 123253, 32149, 11571, 116882, 30046, 103306, 15682, 106367, 76706, 116229, 16144, 107740, 30512, 90962, 22398, 22398, 39850, 78434, 1811, 115191, 102351, 77181, 57903, 105823, 104127, 56051, 29295, 5486, 125104, 39926, 15120, 32149, 9953, 28713, 28713, 26854, 95604, 43514, 20230, 103350, 104983, 20230, 103242, 30046, 19732, 102456, 30926, 123410, 105908, 103082, 79721, 1811, 111482, 105110, 91763, 124059, 30591, 22957, 29295, 106824, 114732, 107430, 101275, 20230, 81258, 119188, 123737, 32977, 121771, 98369, 125104, 127145, 15024, 5486, 37689, 48915, 19732, 112825, 110904, 20230, 38093, 30297, 105908, 108608, 123017, 101523, 227, 48634, 38641, 1811, 112371, 104328, 109933, 111999, 76428, 39926, 64121, 38144, 72315, 101832, 9174, 80673, 5486, 46034, 38574, 29295, 17620, 32149, 114598, 115191, 102351, 16144, 123737, 15682, 67645, 120950, 111482, 30512, 32018, 62004, 100934, 105879, 109954, 32149, 1811, 33671, 15682, 13177, 115191, 102351, 29295, 53901, 112495, 111482, 16144, 117809, 10646, 109853, 48154, 126362, 78434, 9174, 567, 124934, 222, 23039, 102351, 29295, 126326, 120007, 20230, 32018, 109315, 111482, 16144, 117809, 107118, 198, 115191, 102351, 102052, 108436, 114731, 29295, 59739, 50834, 102944, 1811, 123716, 103130, 16144, 77195, 20230, 96412, 17129, 115032, 100909, 55031, 5486, 117876, 20230, 89151, 119063, 127303, 104984, 101182, 108680, 108436, 114731, 29295, 59739, 50834, 17129, 78699, 100909, 115717, 33541, 118855, 5486, 61826, 108680, 32977, 43032, 103854, 28713, 104466, 105677, 117816, 117876, 29295, 17701, 30369, 105908, 43240, 102334, 62004, 5486, 72342, 42891, 32149, 119064, 68408, 84477, 30512, 45923, 47307, 107391, 16073, 84389, 104702, 100472, 1981, 114016, 115789, 125119, 31431, 58942, 33541, 9174, 111482, 110366, 103306, 15682, 13177, 57903, 119841, 76864, 119150, 115789, 43240, 104680, 101182, 32149, 110241, 33121, 107515, 29295, 5486, 117876, 17905, 104405, 120837, 48915, 72342, 100604, 11883, 30926, 29295, 21990, 123606, 126172, 16995, 112973, 115191, 102351, 102677, 102944, 1811, 103031, 120577, 115517, 30512, 113954, 15024, 5486, 110008, 39926, 122765, 110071, 111482, 29295, 32018, 62004, 124195, 61689, 1811, 110382, 16556, 107693, 26854, 112973, 114709, 110020, 39926, 122765, 30369, 59712, 110008, 39926, 122765, 30369, 66383, 95604, 13177, 106548, 24273, 26854, 30813, 10646, 71289, 13177, 17905, 55031, 30832, 101911, 118587, 125636, 117063, 38144, 112987, 124324, 102677, 100909, 38641, 9174, 115191, 102351, 15682, 89151, 99046, 107, 20230, 117876, 30512, 22957, 26854, 103792, 26854, 32149, 16556, 5486, 46456, 107290, 124089, 116497, 16144, 114516, 20230, 16995, 43514, 16995, 43514, 71634, 108744, 30512, 36117, 250, 62004, 102204, 100481, 38144, 15682, 126419, 20230, 102334, 16995, 106046, 114598, 33503, 30297, 104468, 111108, 102800, 16144, 111769, 123253, 32149, 9174, 13177, 27384, 121313, 120572, 1811, 104446, 30591, 122485, 16556, 23039 ]
[ 76947, 109749, 57980, 59712, 43568, 22649, 21105, 103, 117201, 101832, 66383, 117864, 47884, 95221, 20230, 109768, 100604, 103826, 45829, 104088, 127397, 122765, 30369, 118733, 103031, 16144, 108789, 109161, 99750, 30512, 124237, 124304, 47884, 39926, 122765, 30369, 100909, 19732, 5486, 113938, 16144, 30926, 107328, 20230, 101513, 108436, 30512, 60632, 32149, 122101, 110783, 104088, 122101, 118733, 51385, 64209, 99750, 30512, 58318, 107290, 122765, 30369, 105908, 109215, 38641, 9174, 46456, 107290, 122765, 106272, 32977, 16995, 75694, 102677, 110018, 15682, 37026, 80195, 56051, 107328, 27479, 104088, 122101, 118733, 5486, 122013, 30512, 27384, 30926, 117657, 110783, 110095, 104088, 122101, 105908, 126326, 30512, 37689, 109375, 54926, 100909, 107294, 105722, 30369, 16144, 111769, 123253, 32149, 118855, 5486, 108436, 114731, 105352, 96455, 61826, 39926, 59739, 16995, 100481, 47884, 162, 66391, 30813, 71289, 5486, 108436, 114731, 61826, 16556, 35757, 113764, 20230, 114516, 116690, 30512, 106391, 113638, 108608, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 32977, 32018, 62004, 102204, 33541, 101832, 9174, 59739, 17129, 104533, 107404, 13177, 50021, 112909, 110008, 17663, 71289, 30813, 21105, 243, 5486, 46456, 105262, 112500, 96356, 109904, 107328, 27479, 30512, 114196, 101832, 104874, 107800, 17792, 118587, 125494, 54926, 114754, 43240, 117714, 111769, 123253, 32149, 1811, 120007, 20230, 43240, 47884, 30512, 32018, 109315, 107803, 5486, 117896, 32977, 77693, 126365, 40862, 30297, 114516, 108176, 109335, 109215, 38641, 123794, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 32149, 11571, 115191, 102351, 16144, 101523, 227, 48634, 15682, 114093, 17620, 20230, 108044, 116547, 79721, 123253, 32149, 119520, 115847, 103378, 39850, 37823, 67075, 107407, 55031, 127105, 119568, 120577, 117876, 126636, 104721, 30813, 15682, 101067, 66201, 30512, 72404, 105262, 102944, 36785, 106046, 61689, 1811, 80805, 84477, 118567, 103306, 21105, 96, 107277, 19732, 8239, 112, 78183, 76947, 122765, 103470, 38144, 15682, 26854, 31431, 107515, 101832, 9174, 33334, 35330, 15682, 32977, 43514, 85791, 25827, 27384, 30926, 119627, 5486, 125821, 27384, 30926, 26854, 104468, 64209, 96356, 16144, 113614, 38641, 66327, 51330, 107707, 103846, 105110, 80988, 239, 105714, 104028, 76864, 106046, 110027, 30369, 112500, 96356, 109904, 110783, 110095, 30512, 39880, 70563, 64178, 39926, 5486, 115191, 102351, 16144, 103031, 30512, 105621, 67075, 21105, 94, 101668, 16995, 17129, 109954, 6447, 128001, 128000, 90115, 1811, 86127, 32977, 45829, 67645, 32977, 29295, 107991, 105879, 45829, 101662, 38144, 71289, 104378, 123863, 120266, 118899, 107188, 31431, 109834, 103868, 125334, 38144, 50834, 79721, 1811, 110924, 16556, 22957, 67645, 32977, 123863, 106592, 106767, 109768, 104533, 109834, 103868, 102987, 16995, 102473, 122291, 105879, 126362, 78434, 9174, 567, 104849, 244, 103760, 29295, 91763, 104149, 23538, 16556, 103760, 106759, 101983, 103836, 107803, 5486, 10890, 104, 20230, 109161, 117375, 107407, 125396, 107407, 198, 679, 24, 116358, 102473, 103732, 104533, 5486, 91763, 104149, 23538, 16556, 103760, 106759, 115717, 5486, 127032, 117255, 67645, 32977, 10110, 59739, 109709, 10890, 104, 119735, 198, 42016, 104297, 21990, 126036, 104575, 16144, 13153, 116486, 29295, 103167, 16995, 125396, 107407, 117840, 9174, 51330, 102473, 15682, 198, 73361, 29504, 105335, 16073, 108526, 65575, 102667, 19732, 68759, 78683, 20251, 66953, 102667, 16144, 119046, 102473, 113468, 125053, 84389, 79721, 9174, 85701, 103296, 16144, 102473, 112212, 91763, 104149, 23538, 112197, 103760, 98369, 55031, 21990, 17129, 103468, 45829, 67645, 32977, 127282, 5486, 81258, 48864, 16144, 107253, 104874, 29295, 64531, 76947, 33334, 121140, 5486, 118104, 23897, 104989, 112197, 103760, 98369, 55031, 21990, 17129, 103468, 127032, 105459, 126036, 103424, 47884, 100604, 48864, 108710, 16144, 13153, 28873, 30512, 109415, 100934, 105908, 31958, 33503, 32149, 117084, 61689, 9174, 85701, 15682, 99849, 19732, 103470, 108446, 50928, 125545, 101832, 122262, 103760, 98369, 116907, 32977, 58426, 41642, 111331, 117501, 32977, 64531, 103836, 24273, 29295, 45829, 67645, 32977, 125030, 114598, 103424, 30813, 102131, 38641, 9174, 14711, 49854, 122, 47523, 30046, 198, 71493, 96452, 99959, 16144, 101182, 106848, 16144, 55139, 16144, 113073, 104873, 112984, 16144, 119526, 30512, 38129, 39926, 111476, 806, 11, 17470, 107707, 127032, 30512, 104873, 112984, 121256, 9174, 45918, 243, 21990, 8107, 19732, 116245, 5486, 110226, 17701, 5486, 80539, 20834, 21990, 39177, 117255, 84844, 16144, 113614, 121894, 16144, 121953, 30512, 6889, 105904, 16144, 113164, 102663, 84477, 16556, 104873, 112984, 121256, 9174, 14711, 104849, 244, 103760, 29295, 91763, 104149, 23538, 16556, 103760, 106759, 101983, 106358, 107803, 5486, 48864, 108710, 16144, 107253, 104874, 29295, 30250, 227, 33121, 101732, 198, 75351, 111656, 103760, 29295, 91763, 104149, 23538, 16556, 103760, 106759, 101983, 106358, 84844, 16144, 43240, 47884, 10110, 1927, 113127, 7705, 15682, 5486, 111656, 103760, 29295, 508, 31640, 23897, 104989, 16556, 103760, 106759, 110276, 107803, 117255, 84844, 10110, 2148, 113127, 7705, 126036, 48864, 108710, 16144, 107253, 104874, 29295, 103082, 100481, 105823, 104127, 56051, 9174, 105321, 19732, 58426, 116690, 15682, 5486, 127032, 16144, 103760, 106759, 29295, 91763, 104149, 23538, 112197, 103760, 98369, 77181, 104435, 107803, 72661, 64121, 102204, 79721, 9174, 75351, 33334, 32149, 30591, 98369, 19732, 33334, 81219, 30591, 108056, 29295, 83747, 103470, 107173, 508, 97049, 71689, 16556, 103760, 106759, 110276, 127032, 105459, 19732, 125261, 39926, 5486, 91763, 104149, 23538, 20230, 103760, 106759, 110276, 33334, 81219, 30591, 108056, 19732, 508, 97049, 71689, 112197, 103760, 115867, 103214, 64121, 114146, 117255, 67645, 32977, 15682, 111476, 48864, 108710, 16144, 107253, 104874, 29295, 103082, 126386, 111017, 40862, 29295, 2137, 113127, 19732, 119448, 16995, 111017, 40862, 10110, 90962, 26269, 78525, 57106, 7705, 16556, 56051, 59459, 2721, 113127, 11487, 5232, 16, 13, 1313, 12, 16, 13, 1399, 23954, 85701, 33503, 117255, 84844, 127282, 111006, 16144, 102404, 104067, 71289, 106222, 109904, 106556, 5486, 112690, 124001, 104736, 53283, 106556, 16144, 102404, 104067, 121960, 30250, 227, 33121, 30512, 19732, 100472, 102677, 113702, 16556, 56051, 9174, 102473, 30046, 15682, 13177, 91763, 104149, 23538, 16556, 45829, 67645, 32977, 29295, 108608, 109335, 5486, 113261, 116581, 23538, 16144, 102404, 104067, 20230, 27384, 112495, 117375, 30512, 58318, 105262, 1389, 220, 58426, 103760, 106759, 117255, 84844, 121142, 103470, 106116, 33334, 103760, 115867, 10890, 104, 105352, 66383, 43032, 115694, 61689, 9174, 19732, 111243, 113727, 107726, 110071, 44915, 125651, 1811, 95221, 30512, 47000, 107441, 115962, 105898, 16995, 104468, 125559, 16144, 102473, 26854, 105879, 102433, 20230, 59614, 101860, 15024, 32977, 112361, 101427, 122, 70141, 107407, 32149, 15682, 105321, 107173, 78244, 58942, 107515, 9174, 103378, 120811, 33334, 81219, 30591, 108056, 16144, 117375, 29295, 10890, 104, 20230, 103296, 117375, 54926, 104468, 102802, 121710, 31431, 38641, 9174, 80673, 45829, 67645, 102944, 48864, 48634, 71289, 102404, 104067, 15682, 74482, 36827, 9554, 31634, 72238, 32977, 127181, 38641, 1811, 45829, 67645, 32977, 29295, 21990, 17129, 106824, 55031, 21105, 96, 107277, 103926, 40474, 30512, 104526, 62004, 104533, 68408, 39850, 37823, 67075, 15682, 43568, 47884, 109020, 116497, 38641, 9174, 88852, 114556, 89046, 56051, 77219, 30512, 102181, 102532, 61689, 105879, 103424, 102518, 33503, 98499, 104127, 72315, 101832, 9174, 567, 126313, 11883, 105242, 17161, 128001, 128000, 2, 121151, 96, 124949, 103768, 108436, 198, 101557, 96, 124949, 103768, 108436, 10110, 105110, 21105, 228, 25827, 38144, 25827, 119735, 121453, 102800, 121676, 105107, 25446, 30512, 22656, 35083, 112535, 38129, 54926, 112772, 106116, 121676, 105107, 25446, 16144, 69978, 59739, 118463, 30512, 52591, 33710, 20230, 33655, 124059, 5486, 118463, 30512, 126128, 107290, 38129, 54926, 106592, 64467, 17663, 118855, 121453, 102800, 103768, 11883, 30512, 22656, 35083, 112535, 27704, 109315, 112772, 121453, 102800, 103768, 11883, 20230, 101557, 96, 104028, 124122, 106081, 11883, 109904, 117232, 30512, 64467, 39926, 105324, 104369, 115789, 101182, 9174, 110382, 77181, 5486, 121676, 105107, 25446, 16144, 117591, 106116, 105107, 25446, 16144, 118463, 10110, 20834, 48634, 7705, 30512, 38129, 30046, 29295, 111044, 108285, 47884, 104873, 64531, 88367, 26854, 5486, 115681, 101918, 71289, 90962, 84477, 119732, 122692, 101557, 96, 124949, 103768, 108436, 109853, 122984, 54926, 9174, 567, 6704, 25451, 31634, 104817, 43167, 198, 108936, 20230, 5486, 101513, 109472, 71289, 123128, 104770, 16144, 104604, 108502, 102404, 21990, 15682, 104604, 108502, 96455, 103302, 101911, 113468, 20379, 107001, 29295, 5486, 38129, 111671, 74245, 74482, 15682, 85707, 23538, 104604, 108502, 23538, 20230, 30591, 115926, 5486, 104604, 108502, 96455, 15682, 82973, 16144, 106613, 103188, 19732, 107173, 20230, 103167, 17297, 15024, 123334, 29295, 38144, 51385, 23187, 56051, 121894, 101983, 107462, 47884, 105908, 53283, 125398, 1811, 34048, 25446, 16144, 103214, 64121, 121697, 125658, 33014, 103195, 115681, 101918, 71289, 90962, 84477, 119732, 32977, 51330, 27452, 48915, 126194, 5486, 38129, 111671, 74245, 74482, 15682, 85707, 23538, 104604, 108502, 111848, 104604, 108502, 16144, 125396, 29295, 126574, 121894, 117083, 9174, 115681, 101918, 71289, 90962, 84477, 119732, 121960, 32977, 5486, 112672, 5486, 16906, 111, 102800, 104010, 32943, 111800, 112984, 71289, 20834, 111600, 111800, 112984, 29295, 111681, 116216, 15682, 107991, 29295, 5486, 103350, 104983, 20230, 91875, 19967, 107726, 38144, 107969, 104721, 33208, 71289, 107084, 91875, 104309, 20230, 27552, 251, 84389, 104533, 5486, 102208, 34048, 25446, 37026, 33014, 16144, 5486, 101182, 16995, 15682, 34048, 25446, 50021, 106483, 56965, 16144, 104055, 35086, 231, 5486, 103214, 64121, 121697, 126101, 126233, 109013, 101832, 100204, 29295, 100783, 102, 104004, 123160, 30926, 47523, 29295, 21990, 100204, 30369, 103846, 5486, 104604, 108502, 20230, 57237, 30369, 125396, 29295, 45736, 115737, 104533, 22649, 105242, 17905, 15682, 113727, 110071, 113637, 103846, 5486, 102208, 115681, 101918, 39850, 38248, 104, 11972, 15682, 17039, 101918, 122626, 16, 32149, 9953, 74482, 101182, 16995, 15682, 18, 32149, 9953, 74482, 5486, 101182, 16995, 15682, 102149, 23039, 124349, 29295, 16, 11, 931, 16400, 71289, 18, 11, 931, 16400, 20230, 104067, 54926, 112772, 121453, 101918, 28542, 111800, 64531, 104874, 30512, 92693, 125175, 103306, 103350, 102923, 103792, 9174, 108152, 38248, 114, 110366, 103306, 32977, 17039, 101918, 109198, 17701, 74245, 123090, 37087, 109972, 111600, 119707, 105784, 105933, 43568, 22649, 26854, 103768, 108436, 30512, 111098, 105784, 106592, 64209, 29295, 76622, 121453, 25446, 16144, 56965, 10110, 111419, 102149, 23039, 124349, 20230, 104067, 54926, 103296, 65459, 76739, 123581, 16073, 18904, 108436, 9039, 30512, 126128, 107800, 103768, 108436, 117824, 26854, 30297, 106592, 101557, 96, 124949, 103768, 108436, 102677, 9174, 567, 114905, 75293, 108608, 8239, 114503, 104817, 43167, 198, 85707, 23538, 104604, 108502, 23538, 103359, 105226, 103306, 16144, 101557, 96, 124949, 103768, 108436, 102052, 5486, 33671, 120950, 8239, 114503, 29295, 125494, 108608, 9174, 12, 220, 101832, 100204, 16144, 100783, 102, 64121, 198, 12, 107879, 226, 64121, 121697, 39177, 102052, 109431, 37656, 26854, 20251, 125041, 16556, 103672, 108958, 20230, 96452, 67075, 30512, 126233, 62004, 122382, 100934, 29295, 5486, 126233, 62004, 122382, 48634, 29295, 69978, 106307, 39926, 113266, 54926, 118733, 17039, 25446, 16144, 103672, 108958, 29295, 124059, 111201, 110137, 102802, 30369, 105908, 101182, 1811, 17039, 101918, 20230, 103350, 104983, 16144, 38129, 111848, 107084, 91875, 30512, 21601, 78183, 105262, 118733, 5486, 103672, 108958, 16144, 110137, 102802, 29295, 102404, 21990, 56051, 101832, 100204, 30512, 100783, 102, 105823, 121453, 101918, 28542, 111800, 126101, 115079, 15024, 126233, 62004, 54926, 118733, 5486, 105755, 21105, 96, 107277, 103214, 64121, 121697, 30369, 105908, 108608, 1811, 107507, 104930, 16144, 103927, 25197, 64178, 103672, 108958, 5, 96452, 67075, 20230, 100783, 102, 64121, 29295, 102404, 21990, 112990, 5486, 103927, 25197, 64178, 16144, 101832, 100204, 123222, 29295, 125173, 114218, 39926, 26955, 94, 27384, 15024, 103927, 25197, 64178, 29295, 33655, 58942, 103470, 115789, 101182, 9174, 12, 4996, 113, 234, 62004, 30591, 117714, 111983, 37656, 198, 12, 118752, 34048, 25446, 29295, 5486, 91774, 28713, 30832, 5486, 50834, 43514, 127842, 108167, 122382, 102204, 100481, 111243, 5486, 103350, 104983, 16144, 38129, 111848, 107084, 91875, 30512, 21601, 78183, 105262, 118733, 5486, 30297, 17129, 47884, 123451, 234, 107462, 104435, 110229, 29295, 123451, 234, 76947, 108167, 122382, 29295, 100783, 102, 104004, 5486, 101182, 16995, 15682, 108167, 122382, 29295, 48915, 104028, 105908, 57903, 121453, 101918, 28542, 111800, 126101, 115079, 15024, 126233, 62004, 71289, 108167, 122382, 15024, 74245, 17663, 118733, 5486, 105755, 21105, 96, 107277, 103214, 64121, 121697, 30369, 105908, 108608, 1811, 103672, 100560, 235, 67075, 5486, 45923, 39880, 5486, 20251, 93488, 29220, 104309, 77181, 121697, 122382, 16144, 109161, 30813, 103306, 102404, 91774, 108608, 9174, 12, 110147, 95221, 55487, 101911, 16144, 116696, 48552, 198, 12, 105588, 107, 45829, 71289, 47260, 102750, 29220, 47307, 29295, 5486, 91774, 28713, 30832, 5486, 50834, 43514, 127842, 30177, 106307, 84389, 100481, 111243, 5486, 103350, 104983, 16144, 38129, 111848, 107084, 91875, 30512, 21601, 78183, 105262, 118733, 30177, 109835, 16937, 103424, 29295, 102404, 21990, 54926, 105908, 57903, 5486, 50834, 43514, 127842, 55487, 101911, 30512, 15024, 74245, 17663, 118733, 103359, 117120, 108608, 9174, 12, 107289, 106696, 102540, 29220, 16144, 102404, 91774, 198, 12, 107748, 123581, 16073, 5486, 20251, 119930, 101198, 26269, 104272, 5486, 102208, 34048, 102832, 39880, 122835, 104309, 20230, 33655, 78183, 115032, 90962, 106696, 57207, 64178, 29295, 16937, 103424, 25446, 115287, 31431, 5486, 55487, 36651, 16144, 120321, 105557, 30832, 29295, 50834, 43514, 127842, 108167, 122382, 102204, 100481, 104435, 39177, 102052, 5486, 90962, 106696, 118487, 33121, 29295, 102404, 21990, 54926, 1811, 20834, 111600, 39177, 102052, 102404, 91774, 15024, 111108, 47884, 5486, 103350, 104983, 20230, 33655, 76947, 64121, 100604, 19732, 102404, 91774, 118765, 16937, 77913, 40862, 103195, 9174, 12, 105026, 44971, 62903, 57207, 112193, 55487, 36651, 16144, 101557, 96, 124949, 198, 12, 80019, 25446, 16144, 103621, 91062, 105107, 123646, 62903, 57207, 112193, 55487, 36651, 15682, 110567, 16995, 105879, 5486, 103350, 104983 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 76947, 109749, 57980, 59712, 43568, 22649, 21105, 103, 117201, 101832, 66383, 117864, 47884, 95221, 20230, 109768, 100604, 103826, 45829, 104088, 127397, 122765, 30369, 118733, 103031, 16144, 108789, 109161, 99750, 30512, 124237, 124304, 47884, 39926, 122765, 30369, 100909, 19732, 5486, 113938, 16144, 30926, 107328, 20230, 101513, 108436, 30512, 60632, 32149, 122101, 110783, 104088, 122101, 118733, 51385, 64209, 99750, 30512, 58318, 107290, 122765, 30369, 105908, 109215, 38641, 9174, 46456, 107290, 122765, 106272, 32977, 16995, 75694, 102677, 110018, 15682, 37026, 80195, 56051, 107328, 27479, 104088, 122101, 118733, 5486, 122013, 30512, 27384, 30926, 117657, 110783, 110095, 104088, 122101, 105908, 126326, 30512, 37689, 109375, 54926, 100909, 107294, 105722, 30369, 16144, 111769, 123253, 32149, 118855, 5486, 108436, 114731, 105352, 96455, 61826, 39926, 59739, 16995, 100481, 47884, 162, 66391, 30813, 71289, 5486, 108436, 114731, 61826, 16556, 35757, 113764, 20230, 114516, 116690, 30512, 106391, 113638, 108608, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 32977, 32018, 62004, 102204, 33541, 101832, 9174, 59739, 17129, 104533, 107404, 13177, 50021, 112909, 110008, 17663, 71289, 30813, 21105, 243, 5486, 46456, 105262, 112500, 96356, 109904, 107328, 27479, 30512, 114196, 101832, 104874, 107800, 17792, 118587, 125494, 54926, 114754, 43240, 117714, 111769, 123253, 32149, 1811, 120007, 20230, 43240, 47884, 30512, 32018, 109315, 107803, 5486, 117896, 32977, 77693, 126365, 40862, 30297, 114516, 108176, 109335, 109215, 38641, 123794, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 32149, 11571, 115191, 102351, 16144, 101523, 227, 48634, 15682, 114093, 17620, 20230, 108044, 116547, 79721, 123253, 32149, 119520, 115847, 103378, 39850, 37823, 67075, 107407, 55031, 127105, 119568, 120577, 117876, 126636, 104721, 30813, 15682, 101067, 66201, 30512, 72404, 105262, 102944, 36785, 106046, 61689, 1811, 80805, 84477, 118567, 103306, 21105, 96, 107277, 19732, 8239, 112, 78183, 76947, 122765, 103470, 38144, 15682, 26854, 31431, 107515, 101832, 9174, 33334, 35330, 15682, 32977, 43514, 85791, 25827, 27384, 30926, 119627, 5486, 125821, 27384, 30926, 26854, 104468, 64209, 96356, 16144, 113614, 38641, 66327, 51330, 107707, 103846, 105110, 80988, 239, 105714, 104028, 76864, 106046, 110027, 30369, 112500, 96356, 109904, 110783, 110095, 30512, 39880, 70563, 64178, 39926, 5486, 115191, 102351, 16144, 103031, 30512, 105621, 67075, 21105, 94, 101668, 16995, 17129, 109954, 6447, 128001, 128000, 90115, 1811, 86127, 32977, 45829, 67645, 32977, 29295, 107991, 105879, 45829, 101662, 38144, 71289, 104378, 123863, 120266, 118899, 107188, 31431, 109834, 103868, 125334, 38144, 50834, 79721, 1811, 110924, 16556, 22957, 67645, 32977, 123863, 106592, 106767, 109768, 104533, 109834, 103868, 102987, 16995, 102473, 122291, 105879, 126362, 78434, 9174, 567, 104849, 244, 103760, 29295, 91763, 104149, 23538, 16556, 103760, 106759, 101983, 103836, 107803, 5486, 10890, 104, 20230, 109161, 117375, 107407, 125396, 107407, 198, 679, 24, 116358, 102473, 103732, 104533, 5486, 91763, 104149, 23538, 16556, 103760, 106759, 115717, 5486, 127032, 117255, 67645, 32977, 10110, 59739, 109709, 10890, 104, 119735, 198, 42016, 104297, 21990, 126036, 104575, 16144, 13153, 116486, 29295, 103167, 16995, 125396, 107407, 117840, 9174, 51330, 102473, 15682, 198, 73361, 29504, 105335, 16073, 108526, 65575, 102667, 19732, 68759, 78683, 20251, 66953, 102667, 16144, 119046, 102473, 113468, 125053, 84389, 79721, 9174, 85701, 103296, 16144, 102473, 112212, 91763, 104149, 23538, 112197, 103760, 98369, 55031, 21990, 17129, 103468, 45829, 67645, 32977, 127282, 5486, 81258, 48864, 16144, 107253, 104874, 29295, 64531, 76947, 33334, 121140, 5486, 118104, 23897, 104989, 112197, 103760, 98369, 55031, 21990, 17129, 103468, 127032, 105459, 126036, 103424, 47884, 100604, 48864, 108710, 16144, 13153, 28873, 30512, 109415, 100934, 105908, 31958, 33503, 32149, 117084, 61689, 9174, 85701, 15682, 99849, 19732, 103470, 108446, 50928, 125545, 101832, 122262, 103760, 98369, 116907, 32977, 58426, 41642, 111331, 117501, 32977, 64531, 103836, 24273, 29295, 45829, 67645, 32977, 125030, 114598, 103424, 30813, 102131, 38641, 9174, 14711, 49854, 122, 47523, 30046, 198, 71493, 96452, 99959, 16144, 101182, 106848, 16144, 55139, 16144, 113073, 104873, 112984, 16144, 119526, 30512, 38129, 39926, 111476, 806, 11, 17470, 107707, 127032, 30512, 104873, 112984, 121256, 9174, 45918, 243, 21990, 8107, 19732, 116245, 5486, 110226, 17701, 5486, 80539, 20834, 21990, 39177, 117255, 84844, 16144, 113614, 121894, 16144, 121953, 30512, 6889, 105904, 16144, 113164, 102663, 84477, 16556, 104873, 112984, 121256, 9174, 14711, 104849, 244, 103760, 29295, 91763, 104149, 23538, 16556, 103760, 106759, 101983, 106358, 107803, 5486, 48864, 108710, 16144, 107253, 104874, 29295, 30250, 227, 33121, 101732, 198, 75351, 111656, 103760, 29295, 91763, 104149, 23538, 16556, 103760, 106759, 101983, 106358, 84844, 16144, 43240, 47884, 10110, 1927, 113127, 7705, 15682, 5486, 111656, 103760, 29295, 508, 31640, 23897, 104989, 16556, 103760, 106759, 110276, 107803, 117255, 84844, 10110, 2148, 113127, 7705, 126036, 48864, 108710, 16144, 107253, 104874, 29295, 103082, 100481, 105823, 104127, 56051, 9174, 105321, 19732, 58426, 116690, 15682, 5486, 127032, 16144, 103760, 106759, 29295, 91763, 104149, 23538, 112197, 103760, 98369, 77181, 104435, 107803, 72661, 64121, 102204, 79721, 9174, 75351, 33334, 32149, 30591, 98369, 19732, 33334, 81219, 30591, 108056, 29295, 83747, 103470, 107173, 508, 97049, 71689, 16556, 103760, 106759, 110276, 127032, 105459, 19732, 125261, 39926, 5486, 91763, 104149, 23538, 20230, 103760, 106759, 110276, 33334, 81219, 30591, 108056, 19732, 508, 97049, 71689, 112197, 103760, 115867, 103214, 64121, 114146, 117255, 67645, 32977, 15682, 111476, 48864, 108710, 16144, 107253, 104874, 29295, 103082, 126386, 111017, 40862, 29295, 2137, 113127, 19732, 119448, 16995, 111017, 40862, 10110, 90962, 26269, 78525, 57106, 7705, 16556, 56051, 59459, 2721, 113127, 11487, 5232, 16, 13, 1313, 12, 16, 13, 1399, 23954, 85701, 33503, 117255, 84844, 127282, 111006, 16144, 102404, 104067, 71289, 106222, 109904, 106556, 5486, 112690, 124001, 104736, 53283, 106556, 16144, 102404, 104067, 121960, 30250, 227, 33121, 30512, 19732, 100472, 102677, 113702, 16556, 56051, 9174, 102473, 30046, 15682, 13177, 91763, 104149, 23538, 16556, 45829, 67645, 32977, 29295, 108608, 109335, 5486, 113261, 116581, 23538, 16144, 102404, 104067, 20230, 27384, 112495, 117375, 30512, 58318, 105262, 1389, 220, 58426, 103760, 106759, 117255, 84844, 121142, 103470, 106116, 33334, 103760, 115867, 10890, 104, 105352, 66383, 43032, 115694, 61689, 9174, 19732, 111243, 113727, 107726, 110071, 44915, 125651, 1811, 95221, 30512, 47000, 107441, 115962, 105898, 16995, 104468, 125559, 16144, 102473, 26854, 105879, 102433, 20230, 59614, 101860, 15024, 32977, 112361, 101427, 122, 70141, 107407, 32149, 15682, 105321, 107173, 78244, 58942, 107515, 9174, 103378, 120811, 33334, 81219, 30591, 108056, 16144, 117375, 29295, 10890, 104, 20230, 103296, 117375, 54926, 104468, 102802, 121710, 31431, 38641, 9174, 80673, 45829, 67645, 102944, 48864, 48634, 71289, 102404, 104067, 15682, 74482, 36827, 9554, 31634, 72238, 32977, 127181, 38641, 1811, 45829, 67645, 32977, 29295, 21990, 17129, 106824, 55031, 21105, 96, 107277, 103926, 40474, 30512, 104526, 62004, 104533, 68408, 39850, 37823, 67075, 15682, 43568, 47884, 109020, 116497, 38641, 9174, 88852, 114556, 89046, 56051, 77219, 30512, 102181, 102532, 61689, 105879, 103424, 102518, 33503, 98499, 104127, 72315, 101832, 9174, 567, 126313, 11883, 105242, 17161, 128001, 128000, 2, 121151, 96, 124949, 103768, 108436, 198, 101557, 96, 124949, 103768, 108436, 10110, 105110, 21105, 228, 25827, 38144, 25827, 119735, 121453, 102800, 121676, 105107, 25446, 30512, 22656, 35083, 112535, 38129, 54926, 112772, 106116, 121676, 105107, 25446, 16144, 69978, 59739, 118463, 30512, 52591, 33710, 20230, 33655, 124059, 5486, 118463, 30512, 126128, 107290, 38129, 54926, 106592, 64467, 17663, 118855, 121453, 102800, 103768, 11883, 30512, 22656, 35083, 112535, 27704, 109315, 112772, 121453, 102800, 103768, 11883, 20230, 101557, 96, 104028, 124122, 106081, 11883, 109904, 117232, 30512, 64467, 39926, 105324, 104369, 115789, 101182, 9174, 110382, 77181, 5486, 121676, 105107, 25446, 16144, 117591, 106116, 105107, 25446, 16144, 118463, 10110, 20834, 48634, 7705, 30512, 38129, 30046, 29295, 111044, 108285, 47884, 104873, 64531, 88367, 26854, 5486, 115681, 101918, 71289, 90962, 84477, 119732, 122692, 101557, 96, 124949, 103768, 108436, 109853, 122984, 54926, 9174, 567, 6704, 25451, 31634, 104817, 43167, 198, 108936, 20230, 5486, 101513, 109472, 71289, 123128, 104770, 16144, 104604, 108502, 102404, 21990, 15682, 104604, 108502, 96455, 103302, 101911, 113468, 20379, 107001, 29295, 5486, 38129, 111671, 74245, 74482, 15682, 85707, 23538, 104604, 108502, 23538, 20230, 30591, 115926, 5486, 104604, 108502, 96455, 15682, 82973, 16144, 106613, 103188, 19732, 107173, 20230, 103167, 17297, 15024, 123334, 29295, 38144, 51385, 23187, 56051, 121894, 101983, 107462, 47884, 105908, 53283, 125398, 1811, 34048, 25446, 16144, 103214, 64121, 121697, 125658, 33014, 103195, 115681, 101918, 71289, 90962, 84477, 119732, 32977, 51330, 27452, 48915, 126194, 5486, 38129, 111671, 74245, 74482, 15682, 85707, 23538, 104604, 108502, 111848, 104604, 108502, 16144, 125396, 29295, 126574, 121894, 117083, 9174, 115681, 101918, 71289, 90962, 84477, 119732, 121960, 32977, 5486, 112672, 5486, 16906, 111, 102800, 104010, 32943, 111800, 112984, 71289, 20834, 111600, 111800, 112984, 29295, 111681, 116216, 15682, 107991, 29295, 5486, 103350, 104983, 20230, 91875, 19967, 107726, 38144, 107969, 104721, 33208, 71289, 107084, 91875, 104309, 20230, 27552, 251, 84389, 104533, 5486, 102208, 34048, 25446, 37026, 33014, 16144, 5486, 101182, 16995, 15682, 34048, 25446, 50021, 106483, 56965, 16144, 104055, 35086, 231, 5486, 103214, 64121, 121697, 126101, 126233, 109013, 101832, 100204, 29295, 100783, 102, 104004, 123160, 30926, 47523, 29295, 21990, 100204, 30369, 103846, 5486, 104604, 108502, 20230, 57237, 30369, 125396, 29295, 45736, 115737, 104533, 22649, 105242, 17905, 15682, 113727, 110071, 113637, 103846, 5486, 102208, 115681, 101918, 39850, 38248, 104, 11972, 15682, 17039, 101918, 122626, 16, 32149, 9953, 74482, 101182, 16995, 15682, 18, 32149, 9953, 74482, 5486, 101182, 16995, 15682, 102149, 23039, 124349, 29295, 16, 11, 931, 16400, 71289, 18, 11, 931, 16400, 20230, 104067, 54926, 112772, 121453, 101918, 28542, 111800, 64531, 104874, 30512, 92693, 125175, 103306, 103350, 102923, 103792, 9174, 108152, 38248, 114, 110366, 103306, 32977, 17039, 101918, 109198, 17701, 74245, 123090, 37087, 109972, 111600, 119707, 105784, 105933, 43568, 22649, 26854, 103768, 108436, 30512, 111098, 105784, 106592, 64209, 29295, 76622, 121453, 25446, 16144, 56965, 10110, 111419, 102149, 23039, 124349, 20230, 104067, 54926, 103296, 65459, 76739, 123581, 16073, 18904, 108436, 9039, 30512, 126128, 107800, 103768, 108436, 117824, 26854, 30297, 106592, 101557, 96, 124949, 103768, 108436, 102677, 9174, 567, 114905, 75293, 108608, 8239, 114503, 104817, 43167, 198, 85707, 23538, 104604, 108502, 23538, 103359, 105226, 103306, 16144, 101557, 96, 124949, 103768, 108436, 102052, 5486, 33671, 120950, 8239, 114503, 29295, 125494, 108608, 9174, 12, 220, 101832, 100204, 16144, 100783, 102, 64121, 198, 12, 107879, 226, 64121, 121697, 39177, 102052, 109431, 37656, 26854, 20251, 125041, 16556, 103672, 108958, 20230, 96452, 67075, 30512, 126233, 62004, 122382, 100934, 29295, 5486, 126233, 62004, 122382, 48634, 29295, 69978, 106307, 39926, 113266, 54926, 118733, 17039, 25446, 16144, 103672, 108958, 29295, 124059, 111201, 110137, 102802, 30369, 105908, 101182, 1811, 17039, 101918, 20230, 103350, 104983, 16144, 38129, 111848, 107084, 91875, 30512, 21601, 78183, 105262, 118733, 5486, 103672, 108958, 16144, 110137, 102802, 29295, 102404, 21990, 56051, 101832, 100204, 30512, 100783, 102, 105823, 121453, 101918, 28542, 111800, 126101, 115079, 15024, 126233, 62004, 54926, 118733, 5486, 105755, 21105, 96, 107277, 103214, 64121, 121697, 30369, 105908, 108608, 1811, 107507, 104930, 16144, 103927, 25197, 64178, 103672, 108958, 5, 96452, 67075, 20230, 100783, 102, 64121, 29295, 102404, 21990, 112990, 5486, 103927, 25197, 64178, 16144, 101832, 100204, 123222, 29295, 125173, 114218, 39926, 26955, 94, 27384, 15024, 103927, 25197, 64178, 29295, 33655, 58942, 103470, 115789, 101182, 9174, 12, 4996, 113, 234, 62004, 30591, 117714, 111983, 37656, 198, 12, 118752, 34048, 25446, 29295, 5486, 91774, 28713, 30832, 5486, 50834, 43514, 127842, 108167, 122382, 102204, 100481, 111243, 5486, 103350, 104983, 16144, 38129, 111848, 107084, 91875, 30512, 21601, 78183, 105262, 118733, 5486, 30297, 17129, 47884, 123451, 234, 107462, 104435, 110229, 29295, 123451, 234, 76947, 108167, 122382, 29295, 100783, 102, 104004, 5486, 101182, 16995, 15682, 108167, 122382, 29295, 48915, 104028, 105908, 57903, 121453, 101918, 28542, 111800, 126101, 115079, 15024, 126233, 62004, 71289, 108167, 122382, 15024, 74245, 17663, 118733, 5486, 105755, 21105, 96, 107277, 103214, 64121, 121697, 30369, 105908, 108608, 1811, 103672, 100560, 235, 67075, 5486, 45923, 39880, 5486, 20251, 93488, 29220, 104309, 77181, 121697, 122382, 16144, 109161, 30813, 103306, 102404, 91774, 108608, 9174, 12, 110147, 95221, 55487, 101911, 16144, 116696, 48552, 198, 12, 105588, 107, 45829, 71289, 47260, 102750, 29220, 47307, 29295, 5486, 91774, 28713, 30832, 5486, 50834, 43514, 127842, 30177, 106307, 84389, 100481, 111243, 5486, 103350, 104983, 16144, 38129, 111848, 107084, 91875, 30512, 21601, 78183, 105262, 118733, 30177, 109835, 16937, 103424, 29295, 102404, 21990, 54926, 105908, 57903, 5486, 50834, 43514, 127842, 55487, 101911, 30512, 15024, 74245, 17663, 118733, 103359, 117120, 108608, 9174, 12, 107289, 106696, 102540, 29220, 16144, 102404, 91774, 198, 12, 107748, 123581, 16073, 5486, 20251, 119930, 101198, 26269, 104272, 5486, 102208, 34048, 102832, 39880, 122835, 104309, 20230, 33655, 78183, 115032, 90962, 106696, 57207, 64178, 29295, 16937, 103424, 25446, 115287, 31431, 5486, 55487, 36651, 16144, 120321, 105557, 30832, 29295, 50834, 43514, 127842, 108167, 122382, 102204, 100481, 104435, 39177, 102052, 5486, 90962, 106696, 118487, 33121, 29295, 102404, 21990, 54926, 1811, 20834, 111600, 39177, 102052, 102404, 91774, 15024, 111108, 47884, 5486, 103350, 104983, 20230, 33655, 76947, 64121, 100604, 19732, 102404, 91774, 118765, 16937, 77913, 40862, 103195, 9174, 12, 105026, 44971, 62903, 57207, 112193, 55487, 36651, 16144, 101557, 96, 124949, 198, 12, 80019, 25446, 16144, 103621, 91062, 105107, 123646, 62903, 57207, 112193, 55487, 36651, 15682, 110567, 16995, 105879, 5486, 103350, 104983 ]
[ 20230, 102149, 23039, 54926, 100909, 112212, 106142, 105368, 53610, 5486, 76739, 123581, 16073, 90962, 106696, 5486, 20251, 119930, 101198, 26269, 104272, 90962, 106696, 5486, 52884, 44971, 38248, 255, 90962, 106696, 5486, 76739, 39880, 109713, 106142, 111267, 123160, 89753, 33014, 20230, 106142, 107969, 104721, 33208, 19732, 107084, 91875, 30512, 21601, 107290, 5486, 110226, 123332, 16144, 101557, 96, 124949, 117824, 16995, 110567, 30813, 30512, 102717, 104699, 109768, 47884, 9174, 12, 112084, 117733, 16144, 101557, 96, 124949, 198, 12, 80019, 25446, 107507, 104930, 16144, 103621, 91062, 15682, 5486, 103350, 104983, 16144, 102149, 23039, 16556, 102404, 21990, 54926, 107969, 30512, 21601, 58942, 100481, 47884, 118733, 104721, 105284, 109768, 50834, 5486, 33671, 30537, 20230, 32938, 23538, 16144, 118463, 30512, 102404, 127327, 54926, 101200, 108176, 118855, 121453, 25446, 16144, 107507, 104930, 21405, 28190, 102052, 13153, 25287, 125344, 106627, 25287, 21403, 97, 29295, 27699, 116, 108950, 126020, 22656, 37507, 16144, 41758, 37823, 103830, 48634, 29295, 102404, 127327, 118765, 29295, 5486, 102149, 23039, 54926, 118733, 107507, 104930, 21405, 28190, 30512, 118368, 120225, 107726, 123213, 37507, 16144, 41758, 37823, 103830, 123457, 113801, 121406, 105908, 108608, 9174, 12, 80050, 42634, 113390, 116099, 109933, 115247, 102404, 91774, 198, 12, 112084, 117733, 16144, 37823, 91062, 103214, 64121, 16937, 103424, 71289, 76739, 39880, 66953, 33710, 52884, 16144, 16937, 103424, 112212, 5486, 22398, 42634, 113390, 116099, 109933, 11972, 19732, 127173, 104028, 100204, 78183, 100204, 78183, 19732, 35894, 116499, 118487, 33121, 121406, 16937, 77913, 40862, 29295, 102404, 21990, 54926, 105908, 101182, 1811, 20834, 111600, 39177, 102052, 102404, 91774, 15024, 111108, 47884, 5486, 21105, 108, 124749, 103350, 104983, 20230, 33655, 76947, 64121, 100604, 19732, 102404, 91774, 118765, 16937, 77913, 40862, 103195, 9174, 85701, 33503, 85707, 23538, 104604, 108502, 23538, 103359, 105226, 15682, 23530, 114622, 101918, 121142, 103470, 114300, 83301, 11883, 101918, 110176, 121960, 32977, 23039, 126832, 1811, 114300, 83301, 11883, 101918, 110176, 16144, 126513, 13177, 122908, 125596, 99959, 115691, 10110, 2059, 78345, 7705, 10646, 19732, 127173, 33121, 121453, 101918, 30512, 103350, 44971, 61398, 80172, 17701, 112772, 16, 44971, 61398, 16556, 102149, 23039, 54926, 124349, 71689, 30512, 102149, 117063, 5486, 16937, 77913, 40862, 28542, 30512, 112419, 121216, 103359, 105226, 54926, 113009, 108285, 47884, 23039, 78183, 115032, 9174, 567, 113477, 113473, 123863, 120328, 108323, 104817, 43167, 198, 101557, 96, 124949, 103768, 108436, 29295, 109215, 103195, 32149, 113473, 103195, 32149, 109853, 15682, 5486, 120328, 108323, 104760, 105242, 107407, 9174, 12, 121151, 96, 124949, 103768, 108436, 126198, 74482, 127303, 114598, 43568, 22649, 26854, 103768, 108436, 117824, 116285, 101918, 110176, 15682, 114218, 104004, 15024, 5486, 27929, 32977, 27929, 32977, 43568, 22649, 26854, 103768, 108436, 15682, 101918, 110176, 16144, 117539, 51609, 23897, 112772, 103768, 108436, 30046, 116907, 71289, 42016, 110498, 30046, 9458, 109790, 112919, 118958, 30512, 109688, 117126, 20230, 115143, 17663, 23039, 101399, 103195, 1811, 103768, 108436, 103048, 110008, 30512, 19361, 54926, 40053, 109375, 109904, 103768, 108436, 30046, 105110, 81219, 40053, 55031, 43568, 22649, 26854, 103768, 108436, 15682, 21105, 103, 16995, 105879, 121453, 101918, 109860, 102083, 107462, 59739, 32977, 19732, 108010, 30297, 103768, 108436, 123410, 109215, 120937, 117408, 113727, 9174, 12, 43444, 103359, 108324, 108323, 7705, 45736, 118463, 101918, 15682, 101918, 110176, 117539, 51609, 71289, 116907, 71289, 42016, 110498, 30046, 9458, 109790, 112919, 105509, 30512, 115251, 101890, 254, 17044, 110, 116446, 72661, 118463, 30512, 114392, 20230, 102404, 127327, 107726, 123207, 115552, 119703, 117408, 113727, 9174, 12, 104102, 236, 86436, 121960, 15682, 18655, 121247, 122984, 102181, 20230, 101557, 96, 124949, 103768, 108436, 16144, 41007, 29295, 61304, 107121, 84389, 101732, 29295, 115515, 10110, 1049, 22, 8107, 112599, 119735, 18655, 121247, 122984, 102181, 20230, 109835, 33121, 102204, 126386, 102944, 29295, 43240, 47884, 5486, 109835, 33121, 102204, 100481, 123207, 101557, 96, 124949, 103768, 108436, 15682, 113473, 103195, 117408, 108323, 1811, 115681, 101918, 16144, 38129, 113173, 15682, 33035, 114731, 5486, 33035, 48864, 5486, 107691, 16995, 53953, 123160, 9080, 40053, 38129, 29295, 27384, 103268, 116787, 121453, 101918, 126101, 16995, 112495, 31431, 37087, 109972, 111600, 119707, 105784, 105933, 33655, 16995, 24273, 15682, 113727, 111108, 102334, 62004, 5486, 103283, 38574, 16144, 101557, 96, 124949, 103768, 108436, 117824, 30297, 109215, 15682, 103470, 110219, 20230, 9080, 40053, 38129, 109768, 104984, 114392, 58426, 107734, 20230, 102780, 31431, 30369, 9174, 12, 43444, 103359, 108324, 108323, 7705, 18655, 121247, 122984, 102181, 20230, 31958, 61304, 84389, 100481, 103470, 111243, 5486, 101557, 96, 124949, 103768, 108436, 15682, 108152, 38248, 114, 103306, 112672, 55487, 101557, 106, 17663, 125231, 40053, 109375, 103195, 5486, 110792, 113727, 32977, 101182, 9174, 12, 107748, 123581, 16073, 90962, 106696, 29295, 123274, 101513, 106391, 20230, 46065, 112, 108208, 64121, 5486, 114887, 123307, 113468, 76739, 123581, 16073, 123274, 20230, 47000, 100815, 54926, 47000, 100815, 53953, 16144, 114050, 29295, 115376, 84389, 26854, 95604, 86614, 5486, 123307, 50834, 114308, 30512, 125119, 15024, 126172, 47884, 110371, 123307, 50834, 114308, 103181, 82533, 16144, 103846, 102052, 101557, 96, 124949, 103768, 108436, 29295, 109215, 103195, 117408, 108323, 9174, 12, 43444, 103359, 108324, 108323, 7705, 16995, 17129, 71289, 76739, 123581, 113883, 123307, 50834, 114308, 104309, 5486, 90962, 106696, 29295, 110993, 79982, 20230, 127242, 56051, 121894, 103195, 110162, 101544, 8107, 90962, 106696, 39209, 109033, 30512, 17486, 254, 103836, 107803, 104699, 110706, 16556, 67016, 103350, 104983, 102052, 125119, 31431, 50928, 101860, 121453, 25446, 16144, 90962, 106696, 29295, 114392, 109156, 103836, 76739, 123581, 16073, 77181, 113727, 111108, 16995, 9174, 12, 104614, 103204, 42016, 101559, 29295, 109835, 33121, 40862, 100472, 101513, 109472, 109904, 105494, 109853, 5486, 112185, 77693, 33503, 29295, 46065, 112, 108208, 104127, 16995, 100604, 121894, 16556, 105047, 106266, 26854, 45736, 109972, 111600, 119707, 76622, 104533, 5486, 30177, 109835, 28190, 30512, 114218, 59739, 107441, 114732, 125396, 115991, 5486, 46065, 112, 108208, 105823, 30369, 113009, 101557, 96, 124949, 103768, 108436, 29295, 109215, 103195, 117408, 108323, 9174, 12, 43444, 103359, 108324, 108323, 7705, 51330, 87177, 15682, 103188, 86436, 16144, 100909, 116787, 5486, 10110, 1049, 22, 8107, 7705, 112599, 16144, 102301, 112113, 30512, 113727, 104533, 101557, 96, 124949, 103768, 108436, 15682, 109215, 100604, 117408, 108323, 9174, 12, 19629, 101918, 121960, 15682, 5486, 76739, 123581, 113883, 101557, 96, 124949, 103768, 108436, 116771, 105110, 101860, 5486, 57207, 112508, 116696, 123581, 109853, 32977, 101557, 96, 124949, 103768, 108436, 123410, 10110, 108267, 110665, 26854, 57207, 112508, 116696, 123581, 30512, 111098, 105784, 7705, 118733, 5486, 31540, 91875, 105494, 20230, 39880, 47307, 37823, 116825, 105784, 8239, 114503, 115991, 5486, 45163, 110782, 20230, 57207, 112508, 29295, 17701, 112586, 47884, 47884, 109020, 123160, 20251, 32131, 112193, 30512, 117355, 114485, 54926, 8239, 114503, 107407, 117408, 108323, 9174, 12, 469, 17218, 123160, 120115, 44416, 109088, 105494, 16144, 48864, 108710, 30512, 113727, 104533, 5486, 101557, 96, 124949, 103768, 108436, 29295, 10110, 109215, 102677, 113334, 111769, 29295, 7705, 19361, 105576, 103195, 117408, 108323, 9174, 12, 43444, 103359, 108324, 108323, 7705, 17039, 101918, 109198, 17701, 39177, 15682, 39850, 38248, 104, 11972, 116700, 85707, 23538, 112603, 16144, 103846, 103768, 108436, 30046, 29295, 108010, 34208, 99750, 30512, 112854, 105262, 115789, 101182, 29295, 5486, 120115, 44416, 109088, 123128, 16144, 48864, 108710, 105494, 15682, 40053, 20230, 102181, 50834, 109033, 58942, 124195, 108086, 9039, 102718, 16400, 32977, 102149, 23039, 126693, 17663, 42891, 107277, 119526, 29295, 125639, 109913, 78183, 30369, 15024, 5486, 76739, 32131, 111672, 109753, 71289, 66953, 26269, 57933, 37823, 115442, 31431, 104309, 16556, 85707, 23538, 112603, 20230, 114941, 30369, 115789, 101182, 105879, 5486, 66378, 20230, 55487, 101557, 106, 54926, 109215, 15682, 43568, 16995, 110792, 113727, 32977, 101182, 9174, 12, 104523, 37507, 125821, 32977, 101557, 96, 124949, 103768, 108436, 16144, 109215, 34171, 16144, 126574, 21990, 106518, 74245, 123470, 38574, 106090, 16556, 5486, 49792, 75267, 123727, 127284, 71289, 122626, 72516, 111363, 111059, 37705, 125344, 108882, 64121, 17297, 85791, 119432, 113009, 46034, 118448, 20230, 103768, 108436, 110731, 105879, 115515, 115143, 119436, 106624, 103768, 108436, 120837, 46034, 30250, 227, 33121, 103195, 117408, 113727, 24273, 9174, 39850, 38248, 104, 115247, 125053, 103306, 15682, 5486, 88852, 120950, 102944, 107407, 9174, 12, 126075, 31634, 110214, 551, 108613, 112673, 47307, 5486, 103927, 108506, 198, 12, 107879, 114, 103359, 111769, 29295, 56051, 118881, 29295, 57980, 16995, 551, 76502, 106518, 127359, 103223, 99959, 198, 12, 220, 56051, 118881, 29295, 57980, 16995, 551, 80050, 78525, 62903, 5486, 22398, 66953, 33710, 198, 12, 107879, 114, 103359, 109215, 551, 106555, 102756, 60868, 62903, 198, 567, 121151, 96, 124949, 103768, 108436, 16144, 41007, 104817, 43167, 198, 101557, 96, 124949, 103768, 108436, 29295, 109215, 101182, 16995, 15682, 19361, 105576, 117408, 108323, 121960, 32977, 5486, 101557, 96, 124949, 103768, 108436, 16144, 41007, 109853, 15682, 120328, 108323, 107407, 9174, 12, 220, 103167, 18904, 108436, 16556, 101557, 96, 33503, 17663, 109335, 32977, 43514, 85791, 25827, 103195, 29295, 5486, 111419, 113053, 16556, 101557, 96, 33503, 17663, 112973, 57980, 16995, 117408, 108323, 96555, 21601, 95399, 71289, 114485, 95399, 113115, 54926, 39880, 47307, 37823, 116825, 105784, 113009, 5486, 21601, 114485, 95399, 30512, 107960, 112371, 38144, 101557, 96, 33503, 17663, 112973, 57980, 16995, 117408, 108323, 198, 12, 220, 103167, 18904, 108436, 116771, 16556, 101557, 96, 33503, 17663, 108323, 96555, 117864, 47884, 18904, 108436, 30512, 109415, 100604, 19732, 103167, 18904, 108436, 20230, 66378, 33208, 56051, 39880, 47307, 37823, 10110, 45736, 18904, 108436, 30512, 18904, 15024, 20230, 47884, 16995, 39880, 47307, 37823, 7705, 117282, 105879, 5486, 39177, 102052, 45736, 18904, 108436, 30512, 18904, 17663, 112973, 57980, 16995, 117408, 108323, 198, 126738, 5486, 101918, 16144, 18655, 121247, 122984, 102181, 20230, 101557, 96, 124949, 103768, 108436, 16144, 41007, 109853, 16144, 122984, 29295, 61304, 107121, 110731, 102944, 115991, 5486, 119389, 26854, 27452, 77181, 38574, 106090, 109904, 101557, 96, 33503, 119432, 104010, 19732, 55999, 20230, 102208, 104010, 16556, 38129, 54926, 76739, 123581, 16073, 90962, 106696, 16144, 90397, 246, 27479, 29295, 64467, 20379, 110731, 107803, 32977, 101182, 7, 27452, 25, 16027, 49, 104309, 8, 1811, 220, 53900, 5486, 107624, 105242, 46729, 29295, 118789, 109904, 101557, 96, 124949, 103768, 108436, 16144, 41007, 30512, 122984, 103792, 107803, 32977, 101182, 9174, 91, 38574, 106090, 198, 91, 102149, 23039, 124349, 198, 91, 76739, 123581, 16073, 18904, 108436, 9039, 17905, 48249, 198, 91, 113053, 17905, 48249, 198, 91, 104874, 78698, 198, 91, 16, 198, 91, 21909, 3101, 16400, 198, 91, 17, 11, 2636, 18904, 108436, 198, 91, 1954, 16400, 7682, 198, 91, 17, 198, 91, 3101, 16400, 21909, 2636, 16400, 198, 91, 18, 11, 931, 18904, 108436, 198, 91, 1041, 16400, 7682, 198, 91, 18, 198, 91, 2636, 16400, 21909, 16, 11, 931, 16400, 198, 91, 18, 11, 2636, 18904, 108436, 198, 91, 72404, 120018, 15682, 111098, 105784, 198, 91, 19, 198, 91, 16, 11, 931, 16400, 21909, 16, 11, 2636, 16400, 198, 91, 19, 11, 931, 18904, 108436, 198, 91, 20, 198, 91, 16, 11, 2636, 16400, 21909, 17, 11, 931, 16400, 198, 91, 19, 11, 2636, 18904, 108436, 198, 91, 21, 198, 91, 17, 11, 931, 16400, 21909, 17, 11, 2636, 16400, 198, 91, 20, 11, 931, 18904, 108436, 198, 91, 22, 198, 91, 17, 11, 2636, 16400, 21909, 18, 11, 931, 16400, 198, 91, 20, 11, 2636, 18904, 108436, 198, 91, 37689, 111629, 112535, 18904, 108436, 9039, 30512, 101182, 113314, 109415, 30369, 198, 567, 116196, 248, 26130, 104817, 43167, 198, 567, 127425, 104817, 43167, 198, 12, 121151, 96, 124949, 103768, 108436, 30512, 109215, 117408, 101918, 10110, 46913, 12, 23, 104309, 120732, 18655, 121247, 122984, 102181, 102052, 36896, 59614, 98499, 6447, 105509, 45923, 102803, 52884, 16144, 113009, 10646, 83354, 13177, 103768, 108436, 54926, 110018, 10646, 83354, 13177, 105110, 15024, 103768, 108436, 123410, 117503, 105904, 20230, 5486, 101557, 96, 124949, 103768, 108436, 16144, 41007, 29295, 61304, 107121, 110731, 9174, 12, 105026, 57183, 67075, 16144, 18655, 121247, 122984, 102181, 102052, 36896, 101918, 30512, 103768, 108436, 54926, 110018, 20230, 10110, 30537, 17, 46028, 7705, 10646, 29, 13177, 103768, 108436, 16144, 67016, 28713, 10646, 29, 13177, 116696, 123581, 44971, 110590, 16144, 41190, 14, 64810, 44971, 110548, 44971, 110590, 16144, 41190, 117503, 105904, 20230, 36896, 102149, 23039, 124349, 29295, 16, 11, 931, 16400, 20230, 104067, 54926, 17129, 77181, 5486, 76739, 123581, 16073, 71289, 125894, 91875, 39276, 16144, 123050, 16144, 113009, 5486, 105047, 102404, 103130, 71289, 105047, 21601, 95399, 30512, 111098, 105784, 10646, 6079, 101, 16144, 122984, 29295, 61304, 107121, 110731, 9174, 12, 76502, 106518, 9458, 122407, 25197, 118372, 10110, 53, 1927, 25287, 120732, 122984, 102181, 102052, 36896, 59614, 101860, 33334, 98499, 64121, 17297, 65316, 320, 16, 8, 115188, 29, 13177, 102149, 23039, 54926, 110018, 15682, 10646, 29, 13177, 101918, 16144, 103846, 101983, 124949, 103768, 108436, 30512, 117503, 105904, 20230, 36896, 76739, 123581, 16073, 22656, 33014, 5486, 125894, 91875, 39276, 104309, 51330, 101918, 110176, 16144, 69978, 103836, 118463, 30512, 114392, 20230, 102404, 127327, 54926, 103846, 102052, 5486, 105110, 15024, 103768, 108436, 29295, 109215, 38641, 1811, 102149, 23039, 124349, 17, 11, 931, 16400, 17129, 77181, 109431, 27479, 26854, 101918, 95399, 5486, 76739, 123581, 16073, 18904, 108436, 9039, 16556, 103768, 108436, 39926, 72315, 115204, 19732, 61304, 107121, 110731, 1811, 128001, 128000, 67645, 103171, 20230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20230, 102149, 23039, 54926, 100909, 112212, 106142, 105368, 53610, 5486, 76739, 123581, 16073, 90962, 106696, 5486, 20251, 119930, 101198, 26269, 104272, 90962, 106696, 5486, 52884, 44971, 38248, 255, 90962, 106696, 5486, 76739, 39880, 109713, 106142, 111267, 123160, 89753, 33014, 20230, 106142, 107969, 104721, 33208, 19732, 107084, 91875, 30512, 21601, 107290, 5486, 110226, 123332, 16144, 101557, 96, 124949, 117824, 16995, 110567, 30813, 30512, 102717, 104699, 109768, 47884, 9174, 12, 112084, 117733, 16144, 101557, 96, 124949, 198, 12, 80019, 25446, 107507, 104930, 16144, 103621, 91062, 15682, 5486, 103350, 104983, 16144, 102149, 23039, 16556, 102404, 21990, 54926, 107969, 30512, 21601, 58942, 100481, 47884, 118733, 104721, 105284, 109768, 50834, 5486, 33671, 30537, 20230, 32938, 23538, 16144, 118463, 30512, 102404, 127327, 54926, 101200, 108176, 118855, 121453, 25446, 16144, 107507, 104930, 21405, 28190, 102052, 13153, 25287, 125344, 106627, 25287, 21403, 97, 29295, 27699, 116, 108950, 126020, 22656, 37507, 16144, 41758, 37823, 103830, 48634, 29295, 102404, 127327, 118765, 29295, 5486, 102149, 23039, 54926, 118733, 107507, 104930, 21405, 28190, 30512, 118368, 120225, 107726, 123213, 37507, 16144, 41758, 37823, 103830, 123457, 113801, 121406, 105908, 108608, 9174, 12, 80050, 42634, 113390, 116099, 109933, 115247, 102404, 91774, 198, 12, 112084, 117733, 16144, 37823, 91062, 103214, 64121, 16937, 103424, 71289, 76739, 39880, 66953, 33710, 52884, 16144, 16937, 103424, 112212, 5486, 22398, 42634, 113390, 116099, 109933, 11972, 19732, 127173, 104028, 100204, 78183, 100204, 78183, 19732, 35894, 116499, 118487, 33121, 121406, 16937, 77913, 40862, 29295, 102404, 21990, 54926, 105908, 101182, 1811, 20834, 111600, 39177, 102052, 102404, 91774, 15024, 111108, 47884, 5486, 21105, 108, 124749, 103350, 104983, 20230, 33655, 76947, 64121, 100604, 19732, 102404, 91774, 118765, 16937, 77913, 40862, 103195, 9174, 85701, 33503, 85707, 23538, 104604, 108502, 23538, 103359, 105226, 15682, 23530, 114622, 101918, 121142, 103470, 114300, 83301, 11883, 101918, 110176, 121960, 32977, 23039, 126832, 1811, 114300, 83301, 11883, 101918, 110176, 16144, 126513, 13177, 122908, 125596, 99959, 115691, 10110, 2059, 78345, 7705, 10646, 19732, 127173, 33121, 121453, 101918, 30512, 103350, 44971, 61398, 80172, 17701, 112772, 16, 44971, 61398, 16556, 102149, 23039, 54926, 124349, 71689, 30512, 102149, 117063, 5486, 16937, 77913, 40862, 28542, 30512, 112419, 121216, 103359, 105226, 54926, 113009, 108285, 47884, 23039, 78183, 115032, 9174, 567, 113477, 113473, 123863, 120328, 108323, 104817, 43167, 198, 101557, 96, 124949, 103768, 108436, 29295, 109215, 103195, 32149, 113473, 103195, 32149, 109853, 15682, 5486, 120328, 108323, 104760, 105242, 107407, 9174, 12, 121151, 96, 124949, 103768, 108436, 126198, 74482, 127303, 114598, 43568, 22649, 26854, 103768, 108436, 117824, 116285, 101918, 110176, 15682, 114218, 104004, 15024, 5486, 27929, 32977, 27929, 32977, 43568, 22649, 26854, 103768, 108436, 15682, 101918, 110176, 16144, 117539, 51609, 23897, 112772, 103768, 108436, 30046, 116907, 71289, 42016, 110498, 30046, 9458, 109790, 112919, 118958, 30512, 109688, 117126, 20230, 115143, 17663, 23039, 101399, 103195, 1811, 103768, 108436, 103048, 110008, 30512, 19361, 54926, 40053, 109375, 109904, 103768, 108436, 30046, 105110, 81219, 40053, 55031, 43568, 22649, 26854, 103768, 108436, 15682, 21105, 103, 16995, 105879, 121453, 101918, 109860, 102083, 107462, 59739, 32977, 19732, 108010, 30297, 103768, 108436, 123410, 109215, 120937, 117408, 113727, 9174, 12, 43444, 103359, 108324, 108323, 7705, 45736, 118463, 101918, 15682, 101918, 110176, 117539, 51609, 71289, 116907, 71289, 42016, 110498, 30046, 9458, 109790, 112919, 105509, 30512, 115251, 101890, 254, 17044, 110, 116446, 72661, 118463, 30512, 114392, 20230, 102404, 127327, 107726, 123207, 115552, 119703, 117408, 113727, 9174, 12, 104102, 236, 86436, 121960, 15682, 18655, 121247, 122984, 102181, 20230, 101557, 96, 124949, 103768, 108436, 16144, 41007, 29295, 61304, 107121, 84389, 101732, 29295, 115515, 10110, 1049, 22, 8107, 112599, 119735, 18655, 121247, 122984, 102181, 20230, 109835, 33121, 102204, 126386, 102944, 29295, 43240, 47884, 5486, 109835, 33121, 102204, 100481, 123207, 101557, 96, 124949, 103768, 108436, 15682, 113473, 103195, 117408, 108323, 1811, 115681, 101918, 16144, 38129, 113173, 15682, 33035, 114731, 5486, 33035, 48864, 5486, 107691, 16995, 53953, 123160, 9080, 40053, 38129, 29295, 27384, 103268, 116787, 121453, 101918, 126101, 16995, 112495, 31431, 37087, 109972, 111600, 119707, 105784, 105933, 33655, 16995, 24273, 15682, 113727, 111108, 102334, 62004, 5486, 103283, 38574, 16144, 101557, 96, 124949, 103768, 108436, 117824, 30297, 109215, 15682, 103470, 110219, 20230, 9080, 40053, 38129, 109768, 104984, 114392, 58426, 107734, 20230, 102780, 31431, 30369, 9174, 12, 43444, 103359, 108324, 108323, 7705, 18655, 121247, 122984, 102181, 20230, 31958, 61304, 84389, 100481, 103470, 111243, 5486, 101557, 96, 124949, 103768, 108436, 15682, 108152, 38248, 114, 103306, 112672, 55487, 101557, 106, 17663, 125231, 40053, 109375, 103195, 5486, 110792, 113727, 32977, 101182, 9174, 12, 107748, 123581, 16073, 90962, 106696, 29295, 123274, 101513, 106391, 20230, 46065, 112, 108208, 64121, 5486, 114887, 123307, 113468, 76739, 123581, 16073, 123274, 20230, 47000, 100815, 54926, 47000, 100815, 53953, 16144, 114050, 29295, 115376, 84389, 26854, 95604, 86614, 5486, 123307, 50834, 114308, 30512, 125119, 15024, 126172, 47884, 110371, 123307, 50834, 114308, 103181, 82533, 16144, 103846, 102052, 101557, 96, 124949, 103768, 108436, 29295, 109215, 103195, 117408, 108323, 9174, 12, 43444, 103359, 108324, 108323, 7705, 16995, 17129, 71289, 76739, 123581, 113883, 123307, 50834, 114308, 104309, 5486, 90962, 106696, 29295, 110993, 79982, 20230, 127242, 56051, 121894, 103195, 110162, 101544, 8107, 90962, 106696, 39209, 109033, 30512, 17486, 254, 103836, 107803, 104699, 110706, 16556, 67016, 103350, 104983, 102052, 125119, 31431, 50928, 101860, 121453, 25446, 16144, 90962, 106696, 29295, 114392, 109156, 103836, 76739, 123581, 16073, 77181, 113727, 111108, 16995, 9174, 12, 104614, 103204, 42016, 101559, 29295, 109835, 33121, 40862, 100472, 101513, 109472, 109904, 105494, 109853, 5486, 112185, 77693, 33503, 29295, 46065, 112, 108208, 104127, 16995, 100604, 121894, 16556, 105047, 106266, 26854, 45736, 109972, 111600, 119707, 76622, 104533, 5486, 30177, 109835, 28190, 30512, 114218, 59739, 107441, 114732, 125396, 115991, 5486, 46065, 112, 108208, 105823, 30369, 113009, 101557, 96, 124949, 103768, 108436, 29295, 109215, 103195, 117408, 108323, 9174, 12, 43444, 103359, 108324, 108323, 7705, 51330, 87177, 15682, 103188, 86436, 16144, 100909, 116787, 5486, 10110, 1049, 22, 8107, 7705, 112599, 16144, 102301, 112113, 30512, 113727, 104533, 101557, 96, 124949, 103768, 108436, 15682, 109215, 100604, 117408, 108323, 9174, 12, 19629, 101918, 121960, 15682, 5486, 76739, 123581, 113883, 101557, 96, 124949, 103768, 108436, 116771, 105110, 101860, 5486, 57207, 112508, 116696, 123581, 109853, 32977, 101557, 96, 124949, 103768, 108436, 123410, 10110, 108267, 110665, 26854, 57207, 112508, 116696, 123581, 30512, 111098, 105784, 7705, 118733, 5486, 31540, 91875, 105494, 20230, 39880, 47307, 37823, 116825, 105784, 8239, 114503, 115991, 5486, 45163, 110782, 20230, 57207, 112508, 29295, 17701, 112586, 47884, 47884, 109020, 123160, 20251, 32131, 112193, 30512, 117355, 114485, 54926, 8239, 114503, 107407, 117408, 108323, 9174, 12, 469, 17218, 123160, 120115, 44416, 109088, 105494, 16144, 48864, 108710, 30512, 113727, 104533, 5486, 101557, 96, 124949, 103768, 108436, 29295, 10110, 109215, 102677, 113334, 111769, 29295, 7705, 19361, 105576, 103195, 117408, 108323, 9174, 12, 43444, 103359, 108324, 108323, 7705, 17039, 101918, 109198, 17701, 39177, 15682, 39850, 38248, 104, 11972, 116700, 85707, 23538, 112603, 16144, 103846, 103768, 108436, 30046, 29295, 108010, 34208, 99750, 30512, 112854, 105262, 115789, 101182, 29295, 5486, 120115, 44416, 109088, 123128, 16144, 48864, 108710, 105494, 15682, 40053, 20230, 102181, 50834, 109033, 58942, 124195, 108086, 9039, 102718, 16400, 32977, 102149, 23039, 126693, 17663, 42891, 107277, 119526, 29295, 125639, 109913, 78183, 30369, 15024, 5486, 76739, 32131, 111672, 109753, 71289, 66953, 26269, 57933, 37823, 115442, 31431, 104309, 16556, 85707, 23538, 112603, 20230, 114941, 30369, 115789, 101182, 105879, 5486, 66378, 20230, 55487, 101557, 106, 54926, 109215, 15682, 43568, 16995, 110792, 113727, 32977, 101182, 9174, 12, 104523, 37507, 125821, 32977, 101557, 96, 124949, 103768, 108436, 16144, 109215, 34171, 16144, 126574, 21990, 106518, 74245, 123470, 38574, 106090, 16556, 5486, 49792, 75267, 123727, 127284, 71289, 122626, 72516, 111363, 111059, 37705, 125344, 108882, 64121, 17297, 85791, 119432, 113009, 46034, 118448, 20230, 103768, 108436, 110731, 105879, 115515, 115143, 119436, 106624, 103768, 108436, 120837, 46034, 30250, 227, 33121, 103195, 117408, 113727, 24273, 9174, 39850, 38248, 104, 115247, 125053, 103306, 15682, 5486, 88852, 120950, 102944, 107407, 9174, 12, 126075, 31634, 110214, 551, 108613, 112673, 47307, 5486, 103927, 108506, 198, 12, 107879, 114, 103359, 111769, 29295, 56051, 118881, 29295, 57980, 16995, 551, 76502, 106518, 127359, 103223, 99959, 198, 12, 220, 56051, 118881, 29295, 57980, 16995, 551, 80050, 78525, 62903, 5486, 22398, 66953, 33710, 198, 12, 107879, 114, 103359, 109215, 551, 106555, 102756, 60868, 62903, 198, 567, 121151, 96, 124949, 103768, 108436, 16144, 41007, 104817, 43167, 198, 101557, 96, 124949, 103768, 108436, 29295, 109215, 101182, 16995, 15682, 19361, 105576, 117408, 108323, 121960, 32977, 5486, 101557, 96, 124949, 103768, 108436, 16144, 41007, 109853, 15682, 120328, 108323, 107407, 9174, 12, 220, 103167, 18904, 108436, 16556, 101557, 96, 33503, 17663, 109335, 32977, 43514, 85791, 25827, 103195, 29295, 5486, 111419, 113053, 16556, 101557, 96, 33503, 17663, 112973, 57980, 16995, 117408, 108323, 96555, 21601, 95399, 71289, 114485, 95399, 113115, 54926, 39880, 47307, 37823, 116825, 105784, 113009, 5486, 21601, 114485, 95399, 30512, 107960, 112371, 38144, 101557, 96, 33503, 17663, 112973, 57980, 16995, 117408, 108323, 198, 12, 220, 103167, 18904, 108436, 116771, 16556, 101557, 96, 33503, 17663, 108323, 96555, 117864, 47884, 18904, 108436, 30512, 109415, 100604, 19732, 103167, 18904, 108436, 20230, 66378, 33208, 56051, 39880, 47307, 37823, 10110, 45736, 18904, 108436, 30512, 18904, 15024, 20230, 47884, 16995, 39880, 47307, 37823, 7705, 117282, 105879, 5486, 39177, 102052, 45736, 18904, 108436, 30512, 18904, 17663, 112973, 57980, 16995, 117408, 108323, 198, 126738, 5486, 101918, 16144, 18655, 121247, 122984, 102181, 20230, 101557, 96, 124949, 103768, 108436, 16144, 41007, 109853, 16144, 122984, 29295, 61304, 107121, 110731, 102944, 115991, 5486, 119389, 26854, 27452, 77181, 38574, 106090, 109904, 101557, 96, 33503, 119432, 104010, 19732, 55999, 20230, 102208, 104010, 16556, 38129, 54926, 76739, 123581, 16073, 90962, 106696, 16144, 90397, 246, 27479, 29295, 64467, 20379, 110731, 107803, 32977, 101182, 7, 27452, 25, 16027, 49, 104309, 8, 1811, 220, 53900, 5486, 107624, 105242, 46729, 29295, 118789, 109904, 101557, 96, 124949, 103768, 108436, 16144, 41007, 30512, 122984, 103792, 107803, 32977, 101182, 9174, 91, 38574, 106090, 198, 91, 102149, 23039, 124349, 198, 91, 76739, 123581, 16073, 18904, 108436, 9039, 17905, 48249, 198, 91, 113053, 17905, 48249, 198, 91, 104874, 78698, 198, 91, 16, 198, 91, 21909, 3101, 16400, 198, 91, 17, 11, 2636, 18904, 108436, 198, 91, 1954, 16400, 7682, 198, 91, 17, 198, 91, 3101, 16400, 21909, 2636, 16400, 198, 91, 18, 11, 931, 18904, 108436, 198, 91, 1041, 16400, 7682, 198, 91, 18, 198, 91, 2636, 16400, 21909, 16, 11, 931, 16400, 198, 91, 18, 11, 2636, 18904, 108436, 198, 91, 72404, 120018, 15682, 111098, 105784, 198, 91, 19, 198, 91, 16, 11, 931, 16400, 21909, 16, 11, 2636, 16400, 198, 91, 19, 11, 931, 18904, 108436, 198, 91, 20, 198, 91, 16, 11, 2636, 16400, 21909, 17, 11, 931, 16400, 198, 91, 19, 11, 2636, 18904, 108436, 198, 91, 21, 198, 91, 17, 11, 931, 16400, 21909, 17, 11, 2636, 16400, 198, 91, 20, 11, 931, 18904, 108436, 198, 91, 22, 198, 91, 17, 11, 2636, 16400, 21909, 18, 11, 931, 16400, 198, 91, 20, 11, 2636, 18904, 108436, 198, 91, 37689, 111629, 112535, 18904, 108436, 9039, 30512, 101182, 113314, 109415, 30369, 198, 567, 116196, 248, 26130, 104817, 43167, 198, 567, 127425, 104817, 43167, 198, 12, 121151, 96, 124949, 103768, 108436, 30512, 109215, 117408, 101918, 10110, 46913, 12, 23, 104309, 120732, 18655, 121247, 122984, 102181, 102052, 36896, 59614, 98499, 6447, 105509, 45923, 102803, 52884, 16144, 113009, 10646, 83354, 13177, 103768, 108436, 54926, 110018, 10646, 83354, 13177, 105110, 15024, 103768, 108436, 123410, 117503, 105904, 20230, 5486, 101557, 96, 124949, 103768, 108436, 16144, 41007, 29295, 61304, 107121, 110731, 9174, 12, 105026, 57183, 67075, 16144, 18655, 121247, 122984, 102181, 102052, 36896, 101918, 30512, 103768, 108436, 54926, 110018, 20230, 10110, 30537, 17, 46028, 7705, 10646, 29, 13177, 103768, 108436, 16144, 67016, 28713, 10646, 29, 13177, 116696, 123581, 44971, 110590, 16144, 41190, 14, 64810, 44971, 110548, 44971, 110590, 16144, 41190, 117503, 105904, 20230, 36896, 102149, 23039, 124349, 29295, 16, 11, 931, 16400, 20230, 104067, 54926, 17129, 77181, 5486, 76739, 123581, 16073, 71289, 125894, 91875, 39276, 16144, 123050, 16144, 113009, 5486, 105047, 102404, 103130, 71289, 105047, 21601, 95399, 30512, 111098, 105784, 10646, 6079, 101, 16144, 122984, 29295, 61304, 107121, 110731, 9174, 12, 76502, 106518, 9458, 122407, 25197, 118372, 10110, 53, 1927, 25287, 120732, 122984, 102181, 102052, 36896, 59614, 101860, 33334, 98499, 64121, 17297, 65316, 320, 16, 8, 115188, 29, 13177, 102149, 23039, 54926, 110018, 15682, 10646, 29, 13177, 101918, 16144, 103846, 101983, 124949, 103768, 108436, 30512, 117503, 105904, 20230, 36896, 76739, 123581, 16073, 22656, 33014, 5486, 125894, 91875, 39276, 104309, 51330, 101918, 110176, 16144, 69978, 103836, 118463, 30512, 114392, 20230, 102404, 127327, 54926, 103846, 102052, 5486, 105110, 15024, 103768, 108436, 29295, 109215, 38641, 1811, 102149, 23039, 124349, 17, 11, 931, 16400, 17129, 77181, 109431, 27479, 26854, 101918, 95399, 5486, 76739, 123581, 16073, 18904, 108436, 9039, 16556, 103768, 108436, 39926, 72315, 115204, 19732, 61304, 107121, 110731, 1811, 128001, 128000, 67645, 103171, 20230 ]
[ 116186, 11972, 17663, 11571, 63415, 73361, 118331, 25005, 101, 105048, 23530, 105335, 57933, 16073, 102687, 117083, 39880, 68759, 118091, 113883, 53953, 89753, 102923, 102332, 16556, 5486, 73361, 29504, 85707, 16144, 8239, 112, 122502, 103214, 40862, 29295, 102971, 13153, 107001, 100909, 110276, 1811, 63415, 108695, 110366, 15682, 85701, 20230, 104195, 47884, 95543, 103359, 15024, 13177, 8239, 112, 103214, 102971, 13153, 15682, 123532, 101275, 102351, 110792, 109467, 9554, 116690, 30512, 125173, 26854, 30297, 17905, 5486, 83812, 225, 35330, 71289, 25132, 229, 11883, 16144, 51385, 23187, 16144, 23226, 106594, 107294, 105722, 30369, 33563, 110322, 126758, 10646, 104309, 19732, 36668, 105714, 1811, 123532, 101275, 102351, 113115, 15024, 5486, 110284, 59614, 116156, 16144, 101198, 117675, 94550, 71289, 107430, 75267, 113245, 19012, 110, 20379, 104309, 30512, 33035, 100204, 38144, 102971, 13153, 20230, 95543, 103359, 54926, 101200, 100525, 101, 104698, 102301, 30512, 104195, 62004, 101732, 102944, 16144, 5486, 123532, 101275, 102351, 110366, 16144, 102971, 64063, 15682, 107608, 47884, 5486, 126654, 104364, 16556, 31540, 104662, 30512, 104284, 43514, 18655, 100472, 9174, 7511, 39880, 68759, 118091, 16073, 5486, 73361, 29504, 85707, 16144, 8239, 112, 103214, 102971, 13153, 12551, 102923, 102332, 123532, 101275, 102351, 29295, 31540, 104662, 198, 11144, 47754, 104023, 39177, 30926, 11199, 73361, 118331, 25005, 101, 105048, 117083, 31809, 105525, 31431, 9458, 964, 27384, 46034, 39880, 68759, 118091, 16073, 9458, 45923, 67075, 47260, 91062, 10110, 26948, 916, 120732, 53953, 89753, 102923, 102332, 16556, 16, 9080, 5486, 73361, 117409, 16144, 42016, 61337, 102923, 102332, 77181, 85707, 117282, 8239, 112, 122502, 103214, 40862, 16144, 102971, 13153, 29295, 5486, 123532, 101275, 102351, 80172, 95544, 112212, 31540, 104662, 103646, 9174, 21909, 66870, 105838, 21909, 198, 8239, 112, 103214, 102971, 13153, 29295, 104662, 117864, 104468, 5486, 42016, 23530, 105335, 57933, 16073, 102687, 10110, 626, 13827, 10951, 120732, 13177, 41, 28096, 23, 66383, 127173, 104028, 102923, 102332, 1811, 37087, 73361, 8239, 112, 122502, 116690, 114373, 38093, 10110, 45, 20721, 33, 120732, 87447, 95544, 113702, 103732, 104533, 5486, 83812, 249, 13153, 15682, 14374, 19, 95544, 5486, 95543, 103359, 15682, 11702, 16, 95544, 103351, 1811, 103891, 95544, 121254, 107441, 15682, 115132, 68759, 118091, 16073, 19732, 8239, 112, 103214, 83812, 249, 13153, 105647, 110792, 56965, 16556, 106266, 102800, 104987, 103181, 29295, 103721, 108, 31431, 108285, 102639, 109115, 1811, 42016, 61337, 15682, 5486, 8239, 112, 103214, 102971, 13153, 15682, 123532, 101275, 102351, 110792, 109467, 9554, 116690, 30512, 125173, 26854, 30297, 17905, 5486, 83812, 225, 35330, 71289, 25132, 229, 11883, 16144, 51385, 23187, 16144, 23226, 106594, 107294, 105722, 30369, 33563, 110322, 126758, 19732, 36668, 105714, 1811, 123532, 101275, 102351, 113115, 15024, 5486, 110284, 59614, 116156, 16144, 101198, 117675, 94550, 71289, 5486, 107430, 75267, 113245, 19012, 110, 20379, 104309, 30512, 33035, 100204, 5486, 102971, 13153, 20230, 95543, 103359, 54926, 101200, 126014, 58942, 101732, 1811, 121158, 29504, 77181, 118288, 8107, 105352, 39880, 32131, 66953, 68759, 55139, 16144, 39880, 68759, 118091, 16073, 102923, 102332, 16556, 8239, 112, 103214, 102971, 13153, 16144, 21043, 66776, 30512, 99397, 30297, 85707, 16144, 80172, 95544, 29295, 23039, 125167, 29295, 5486, 33476, 104662, 84389, 101732, 9174, 73361, 39880, 68759, 118091, 16073, 16556, 5486, 8239, 112, 103214, 29295, 102971, 13153, 84389, 79721, 1811, 108695, 16144, 100525, 101, 104698, 30512, 15682, 101832, 16144, 107441, 16144, 102971, 13153, 38641, 1811, 47260, 42634, 96452, 54656, 235, 16556, 108695, 16144, 8239, 96, 109161, 26854, 117501, 30512, 58655, 102404, 39926, 50338, 25132, 229, 103646, 114754, 5486, 8239, 112, 103214, 102971, 13153, 30512, 36668, 106839, 56051, 5486, 102677, 123017, 109834, 103868, 102987, 16995, 32938, 38641, 1811, 102433, 72661, 122502, 47884, 17792, 113115, 39926, 16937, 40265, 26854, 30926, 29295, 43240, 104680, 23039, 78183, 106824, 61689, 1811, 122502, 47884, 114754, 108638, 102971, 39926, 16937, 40265, 19732, 119895, 116285, 5486, 110698, 42506, 32977, 8239, 112, 122502, 77195, 32977, 103424, 115737, 31431, 33541, 1811, 10532, 16535, 916, 46374, 56029, 710, 79, 39, 23, 1247, 198, 2345, 101678, 102212, 28713, 123772, 8165, 74, 461, 451, 72, 258, 31866, 8, 5936, 220, 18, 11, 220, 2366, 17, 198, 27384, 112495, 89753, 33121, 16144, 102404, 79982, 117282, 32149, 32977, 1811, 73361, 125525, 105469, 112028, 110993, 120766, 20230, 27384, 123378, 29295, 95221, 109669, 50834, 116875, 108324, 15024, 27704, 109013, 198, 39880, 68759, 118091, 16073, 15682, 8239, 112, 122502, 103214, 40862, 30512, 102971, 13153, 107726, 100604, 124122, 102301, 112415, 9458, 17620, 64889, 112415, 20230, 103087, 35330, 30512, 80172, 17297, 10110, 2366, 16, 8107, 103664, 20, 117913, 35757, 23954, 80129, 198, 2366, 16, 8107, 103296, 16144, 8239, 112, 103214, 102971, 13153, 112415, 15682, 122617, 21388, 113529, 198, 2366, 17, 8107, 5232, 118331, 25005, 101, 105048, 16144, 53953, 89753, 26955, 254, 28542, 16556, 85707, 107436, 8239, 112, 122502, 103214, 40862, 29295, 102971, 13153, 10532, 16535, 916, 14, 24, 49937, 40, 85, 79710, 16, 17268, 198, 2345, 622, 328, 4428, 8165, 73, 646, 4428, 8, 5936, 220, 19, 11, 220, 2366, 17, 198, 2118, 39880, 68759, 118091, 16073, 125030, 76947, 37271, 18904, 16144, 113702, 15682, 107693, 26854, 108436, 101513, 117282, 1811, 42016, 61337, 15682, 914, 8107, 89783, 112586, 78183, 115926, 5486, 73361, 29504, 118482, 113245, 8239, 112, 103214, 102971, 13153, 30512, 114632, 82533, 107113, 1811, 42016, 61337, 15682, 113702, 30512, 117633, 17663, 105908, 103082, 123207, 5486, 8239, 112, 122502, 120273, 103664, 39209, 35086, 231, 16144, 111671, 30512, 89783, 118273, 103470, 84389, 5486, 114731, 102781, 22398, 102663, 115478, 64178, 123160, 105047, 26854, 104873, 64531, 117824, 119178, 47884, 47884, 109020, 109755, 33121, 107407, 863, 720, 2345, 124109, 25197, 78459, 8165, 70, 1339, 21519, 7910, 8, 5936, 220, 17, 11, 220, 2366, 17, 198, 39880, 68759, 118091, 16073, 16556, 8239, 112, 122502, 103214, 40862, 102971, 13153, 6447, 127164, 77181, 5486, 61056, 106616, 39209, 35086, 231, 112607, 16144, 101182, 8239, 112, 103214, 30512, 102971, 13153, 54926, 102052, 5486, 39209, 35086, 231, 110904, 25129, 113245, 105005, 104736, 102647, 123680, 16556, 103188, 103268, 9039, 30512, 50928, 30369, 109215, 107407, 1811, 108695, 15682, 104356, 113679, 30512, 50338, 25132, 229, 56051, 31431, 5486, 102647, 123680, 20230, 75910, 17701, 123410, 104309, 5486, 8239, 112, 103214, 102971, 13153, 30512, 100525, 101, 104698, 39926, 105898, 29295, 5486, 59739, 119178, 6447, 720, 2345, 114883, 105635, 112465, 15120, 8165, 6746, 72, 718, 24604, 8, 5936, 220, 17, 11, 220, 2366, 17, 198, 102472, 112694, 102439, 16144, 41758, 42634, 112164, 33710, 106613, 111587, 35083, 104364, 103129, 101544, 20230, 15120, 102465, 30512, 80172, 100204, 28713, 30926, 15682, 105184, 32149, 9174, 2345, 220, 102717, 42891, 22957, 31431, 605, 108104, 8165, 76392, 40, 86, 20, 35, 3487, 80, 27542, 3642, 5932, 8, 5936, 220, 20, 11, 220, 2366, 17, 198, 73361, 39880, 68759, 118091, 16073, 16556, 8239, 112, 103214, 102971, 13153, 102416, 63923, 106, 123028, 53953, 89753, 26955, 254, 28542, 102362, 46034, 127242, 5486, 104195, 115464, 105318, 5232, 103293, 9080, 116491, 68408, 76428, 122258, 720, 8239, 112, 122502, 103214, 40862, 16144, 53229, 28542, 30512, 114140, 54926, 57980, 16995, 101513, 38093, 1811, 32977, 107173, 19732, 127164, 15682, 8239, 112, 122502, 117401, 29295, 109466, 102189, 100472, 113334, 16556, 5486, 105298, 37087, 26854, 91875, 50834, 16144, 109095, 76706, 1811, 102433, 125030, 114598, 27384, 112495, 100927, 120117, 9174, 2345, 105731, 40526, 41920, 104703, 8165, 11387, 88, 309, 351, 56017, 8, 5936, 220, 17, 11, 220, 2366, 17, 198, 14711, 43444, 85701, 103296, 99849, 27479, 32977, 108695, 110366, 20230, 103558, 108, 116216, 105898, 16325, 7705, 59739, 119178, 39880, 68759, 118091, 113883, 8239, 112, 122502, 30046, 111848, 103214, 40862, 29295, 45918, 243, 21990, 102416, 6447, 16519, 3711, 111848, 8239, 112, 122502, 30046, 102729, 122, 18655, 33014, 44416, 20230, 15120, 102465, 30512, 80172, 100204, 30369, 100909, 108176, 32149, 95532, 85701, 15682, 101704, 21105, 114, 111331, 109529, 78943, 19732, 78244, 105262, 102944, 111769, 123253, 32149, 9174, 39880, 68759, 118091, 16073, 110366, 29295, 30591, 33503, 106644, 30369, 46034, 38574, 30512, 33035, 100204, 38144, 8239, 112, 103214, 16144, 102971, 13153, 30512, 100525, 101, 104698, 9458, 114632, 82533, 39926, 105898, 105908, 16995, 78183, 106824, 50834, 79721, 29295, 115515, 18904, 16144, 73361, 29504, 102404, 16144, 8239, 112, 103214, 102971, 13153, 30512, 33035, 100204, 38144, 5486, 16519, 3711, 111848, 8239, 112, 122502, 30046, 102729, 122, 18655, 33014, 44416, 20230, 15120, 102465, 30512, 80172, 100204, 30369, 100909, 108176, 32149, 29295, 102616, 16325, 16556, 26130, 30832, 116216, 61689, 9174, 77693, 103378, 5486, 73361, 117409, 16144, 43240, 119064, 8239, 112, 122502, 30046, 29295, 5486, 112599, 16144, 16519, 3711, 36668, 106839, 111848, 41758, 42634, 112164, 37823, 78525, 91062, 20230, 104195, 16995, 16937, 112624, 71289, 109688, 101513, 99750, 30512, 119890, 117063, 100934, 102677, 100909, 108995, 15024, 5486, 10110, 76, 31820, 102756, 29220, 78459, 113883, 30177, 104091, 96455, 29295, 102616, 112535, 108008, 20230, 103167, 16995, 106592, 64121, 111243, 7705, 71289, 15682, 31431, 123085, 19732, 57106, 103854, 104533, 73361, 117409, 124911, 104680, 15682, 5486, 105994, 105459, 119707, 59739, 38144, 104435, 103296, 20230, 127814, 13870, 232, 107726, 100934, 120328, 109161, 16144, 102831, 39084, 29295, 13177, 41758, 42634, 112164, 37823, 78525, 91062, 10646, 117083, 102677, 120266, 116499, 114308, 59739, 59739, 101182, 102677, 100909, 26854, 104865, 121061, 101832, 1811, 220, 80673, 115515, 18904, 16144, 73361, 29504, 85707, 16144, 8239, 112, 103214, 102971, 13153, 16144, 118331, 61398, 20230, 119448, 47884, 104940, 126559, 122416, 77181, 16995, 102204, 100604, 123017, 105184, 32149, 108995, 9174, 102677, 123017, 5486, 17663, 16556, 20230, 5486, 41758, 42634, 112164, 33710, 46456, 55487, 114050, 29295, 110544, 255, 37689, 102473, 9458, 122401, 30512, 103130, 107436, 105898, 15836, 10110, 17792, 49792, 53283, 27327, 119735, 5486, 32977, 15682, 71289, 114516, 16144, 106556, 30512, 122062, 102147, 243, 54926, 44971, 115882, 20230, 17129, 103082, 38144, 103801, 76947, 108086, 5486, 102616, 46456, 55487, 114050, 15682, 5486, 112599, 16144, 8239, 112, 122502, 126636, 43240, 9039, 30512, 15836, 20230, 71289, 117063, 101200, 103306, 107991, 104468, 56965, 121953, 100604, 55031, 36785, 9174, 108895, 26854, 104533, 5486, 8239, 112, 122502, 30046, 110366, 29295, 108729, 109904, 17792, 112607, 30512, 36668, 105714, 56051, 31431, 5486, 114435, 110366, 16144, 102729, 122, 18655, 20230, 116875, 108324, 126693, 54926, 108680, 5486, 108695, 20230, 37729, 28425, 99, 103470, 29220, 91482, 30512, 102769, 124195, 103801, 76947, 15682, 115847, 103296, 114516, 29295, 23039, 26854, 106358, 121101, 16144, 43240, 47884, 30512, 15836, 29295, 23039, 26854, 30297, 101200, 117084, 103801, 16995, 5486, 114626, 15682, 5486, 108152, 78683, 66953, 38248, 113, 33710, 102832, 38248, 115, 48552, 76171, 71493, 91062, 104309, 30512, 33035, 100204, 38144, 5486, 32149, 59739, 38144, 104435, 103296, 16144, 68408, 76428, 122258, 117694, 37795, 115, 123141, 30512, 106391, 113638, 107726, 124195, 114732, 103435, 116, 104611, 107407, 9174, 109020, 108680, 1981, 9174, 102131, 113727, 104533, 90620, 104940, 104127, 122416, 32977, 16995, 102204, 100604, 38641, 15024, 5486, 16519, 3711, 30512, 116882, 103892, 114267, 5486, 41758, 42634, 112164, 33710, 109098, 27384, 114435, 30512, 115962, 28542, 114267, 70821, 56965, 103087, 22656, 111848, 102729, 122, 18655, 123141, 58426, 102944, 30512, 115408, 105459, 29295, 36668, 106839, 39926, 114715, 72661, 104721, 58942, 100481, 47884, 109215, 115991, 102131, 125651, 9174, 108895, 56051, 29504, 103496, 114792, 28713, 100604, 109098, 27384, 103087, 22656, 110095, 48634, 111848, 106063, 114940, 123141, 30512, 104405, 112649, 54926, 102052, 123334, 15682, 31431, 36896, 106444, 9458, 105212, 10646, 29295, 41758, 42634, 112164, 33710, 103087, 22656, 110095, 48634, 16144, 103181, 103682, 45144, 97, 104856, 76947, 115847, 29295, 29504, 70821, 16144, 51609, 71289, 112607, 60632, 30512, 21105, 96, 107277, 19732, 106154, 107462, 47884, 123141, 30512, 109205, 69978, 107726, 100481, 47884, 67016, 100604, 119150, 15024, 106116, 103846, 102052, 5486, 103926, 29504, 9554, 16556, 17129, 42891, 78699, 26854, 103424, 64209, 71289, 103424, 109375, 114792, 59739, 110886, 46729, 30512, 122485, 72661, 43240, 47884, 29504, 38093, 20230, 37705, 31431, 104526, 104127, 16995, 47884, 105908, 109215, 109947, 124490, 36785, 9174, 64121, 28713, 110229, 5486, 112599, 16144, 58318, 104478, 75513, 112607, 20230, 105856, 106053, 109904, 37689, 91774, 30512, 102404, 103792, 78244, 105242, 107707, 16325, 105352, 5486, 41758, 42634, 112164, 37823, 78525, 91062, 30512, 124615, 21105, 103, 29295, 33503, 106444, 123141, 16144, 83799, 101805, 116, 33208, 71289, 127814, 13870, 232, 30512, 21043, 104736, 103792, 104466, 64121, 105262, 113679, 29295, 107471, 91774, 107001, 15024, 123085, 29504, 70821, 16144, 56965, 121960, 5486, 106444, 112607, 48634, 121142, 103470, 5486, 106444, 30512, 72404, 104087, 56051, 109098, 27384, 114435, 71289, 103087, 22656, 113115, 120837, 5486, 103435, 238, 107750, 9554, 9458, 105856, 106053, 109904, 113116, 30512, 101662, 104127, 16995, 47884, 100909, 16144, 109215, 34171, 30512, 112391, 100934, 57980, 9174, 108895, 56051, 37689, 109375, 30512, 125821, 26955, 94, 102639, 100481, 47884, 103846, 102052, 5486, 126843, 15682, 10110, 41758, 42634, 112164, 124766, 113468, 109178, 58942, 122382, 109115, 7705, 13177, 102433, 116537, 102616, 16556, 32335, 32977, 8239, 96, 100472, 121593, 10646, 104309, 102083, 100472, 11239, 239, 23602, 230, 16556, 37026, 84264, 238, 109904, 37689, 109375, 30512, 104721, 58942, 100481, 47884, 105908, 107693, 38641, 15024, 115515, 74482, 32977, 40265, 116229, 77181, 13177, 40053, 20230, 102616, 109904, 91875, 50834, 30512, 124981, 108981, 21105, 103, 29295, 33503, 123085, 16144, 29504, 70821, 71289, 110577, 25359, 16144, 106222, 123141, 9458, 106063, 37026 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 116186, 11972, 17663, 11571, 63415, 73361, 118331, 25005, 101, 105048, 23530, 105335, 57933, 16073, 102687, 117083, 39880, 68759, 118091, 113883, 53953, 89753, 102923, 102332, 16556, 5486, 73361, 29504, 85707, 16144, 8239, 112, 122502, 103214, 40862, 29295, 102971, 13153, 107001, 100909, 110276, 1811, 63415, 108695, 110366, 15682, 85701, 20230, 104195, 47884, 95543, 103359, 15024, 13177, 8239, 112, 103214, 102971, 13153, 15682, 123532, 101275, 102351, 110792, 109467, 9554, 116690, 30512, 125173, 26854, 30297, 17905, 5486, 83812, 225, 35330, 71289, 25132, 229, 11883, 16144, 51385, 23187, 16144, 23226, 106594, 107294, 105722, 30369, 33563, 110322, 126758, 10646, 104309, 19732, 36668, 105714, 1811, 123532, 101275, 102351, 113115, 15024, 5486, 110284, 59614, 116156, 16144, 101198, 117675, 94550, 71289, 107430, 75267, 113245, 19012, 110, 20379, 104309, 30512, 33035, 100204, 38144, 102971, 13153, 20230, 95543, 103359, 54926, 101200, 100525, 101, 104698, 102301, 30512, 104195, 62004, 101732, 102944, 16144, 5486, 123532, 101275, 102351, 110366, 16144, 102971, 64063, 15682, 107608, 47884, 5486, 126654, 104364, 16556, 31540, 104662, 30512, 104284, 43514, 18655, 100472, 9174, 7511, 39880, 68759, 118091, 16073, 5486, 73361, 29504, 85707, 16144, 8239, 112, 103214, 102971, 13153, 12551, 102923, 102332, 123532, 101275, 102351, 29295, 31540, 104662, 198, 11144, 47754, 104023, 39177, 30926, 11199, 73361, 118331, 25005, 101, 105048, 117083, 31809, 105525, 31431, 9458, 964, 27384, 46034, 39880, 68759, 118091, 16073, 9458, 45923, 67075, 47260, 91062, 10110, 26948, 916, 120732, 53953, 89753, 102923, 102332, 16556, 16, 9080, 5486, 73361, 117409, 16144, 42016, 61337, 102923, 102332, 77181, 85707, 117282, 8239, 112, 122502, 103214, 40862, 16144, 102971, 13153, 29295, 5486, 123532, 101275, 102351, 80172, 95544, 112212, 31540, 104662, 103646, 9174, 21909, 66870, 105838, 21909, 198, 8239, 112, 103214, 102971, 13153, 29295, 104662, 117864, 104468, 5486, 42016, 23530, 105335, 57933, 16073, 102687, 10110, 626, 13827, 10951, 120732, 13177, 41, 28096, 23, 66383, 127173, 104028, 102923, 102332, 1811, 37087, 73361, 8239, 112, 122502, 116690, 114373, 38093, 10110, 45, 20721, 33, 120732, 87447, 95544, 113702, 103732, 104533, 5486, 83812, 249, 13153, 15682, 14374, 19, 95544, 5486, 95543, 103359, 15682, 11702, 16, 95544, 103351, 1811, 103891, 95544, 121254, 107441, 15682, 115132, 68759, 118091, 16073, 19732, 8239, 112, 103214, 83812, 249, 13153, 105647, 110792, 56965, 16556, 106266, 102800, 104987, 103181, 29295, 103721, 108, 31431, 108285, 102639, 109115, 1811, 42016, 61337, 15682, 5486, 8239, 112, 103214, 102971, 13153, 15682, 123532, 101275, 102351, 110792, 109467, 9554, 116690, 30512, 125173, 26854, 30297, 17905, 5486, 83812, 225, 35330, 71289, 25132, 229, 11883, 16144, 51385, 23187, 16144, 23226, 106594, 107294, 105722, 30369, 33563, 110322, 126758, 19732, 36668, 105714, 1811, 123532, 101275, 102351, 113115, 15024, 5486, 110284, 59614, 116156, 16144, 101198, 117675, 94550, 71289, 5486, 107430, 75267, 113245, 19012, 110, 20379, 104309, 30512, 33035, 100204, 5486, 102971, 13153, 20230, 95543, 103359, 54926, 101200, 126014, 58942, 101732, 1811, 121158, 29504, 77181, 118288, 8107, 105352, 39880, 32131, 66953, 68759, 55139, 16144, 39880, 68759, 118091, 16073, 102923, 102332, 16556, 8239, 112, 103214, 102971, 13153, 16144, 21043, 66776, 30512, 99397, 30297, 85707, 16144, 80172, 95544, 29295, 23039, 125167, 29295, 5486, 33476, 104662, 84389, 101732, 9174, 73361, 39880, 68759, 118091, 16073, 16556, 5486, 8239, 112, 103214, 29295, 102971, 13153, 84389, 79721, 1811, 108695, 16144, 100525, 101, 104698, 30512, 15682, 101832, 16144, 107441, 16144, 102971, 13153, 38641, 1811, 47260, 42634, 96452, 54656, 235, 16556, 108695, 16144, 8239, 96, 109161, 26854, 117501, 30512, 58655, 102404, 39926, 50338, 25132, 229, 103646, 114754, 5486, 8239, 112, 103214, 102971, 13153, 30512, 36668, 106839, 56051, 5486, 102677, 123017, 109834, 103868, 102987, 16995, 32938, 38641, 1811, 102433, 72661, 122502, 47884, 17792, 113115, 39926, 16937, 40265, 26854, 30926, 29295, 43240, 104680, 23039, 78183, 106824, 61689, 1811, 122502, 47884, 114754, 108638, 102971, 39926, 16937, 40265, 19732, 119895, 116285, 5486, 110698, 42506, 32977, 8239, 112, 122502, 77195, 32977, 103424, 115737, 31431, 33541, 1811, 10532, 16535, 916, 46374, 56029, 710, 79, 39, 23, 1247, 198, 2345, 101678, 102212, 28713, 123772, 8165, 74, 461, 451, 72, 258, 31866, 8, 5936, 220, 18, 11, 220, 2366, 17, 198, 27384, 112495, 89753, 33121, 16144, 102404, 79982, 117282, 32149, 32977, 1811, 73361, 125525, 105469, 112028, 110993, 120766, 20230, 27384, 123378, 29295, 95221, 109669, 50834, 116875, 108324, 15024, 27704, 109013, 198, 39880, 68759, 118091, 16073, 15682, 8239, 112, 122502, 103214, 40862, 30512, 102971, 13153, 107726, 100604, 124122, 102301, 112415, 9458, 17620, 64889, 112415, 20230, 103087, 35330, 30512, 80172, 17297, 10110, 2366, 16, 8107, 103664, 20, 117913, 35757, 23954, 80129, 198, 2366, 16, 8107, 103296, 16144, 8239, 112, 103214, 102971, 13153, 112415, 15682, 122617, 21388, 113529, 198, 2366, 17, 8107, 5232, 118331, 25005, 101, 105048, 16144, 53953, 89753, 26955, 254, 28542, 16556, 85707, 107436, 8239, 112, 122502, 103214, 40862, 29295, 102971, 13153, 10532, 16535, 916, 14, 24, 49937, 40, 85, 79710, 16, 17268, 198, 2345, 622, 328, 4428, 8165, 73, 646, 4428, 8, 5936, 220, 19, 11, 220, 2366, 17, 198, 2118, 39880, 68759, 118091, 16073, 125030, 76947, 37271, 18904, 16144, 113702, 15682, 107693, 26854, 108436, 101513, 117282, 1811, 42016, 61337, 15682, 914, 8107, 89783, 112586, 78183, 115926, 5486, 73361, 29504, 118482, 113245, 8239, 112, 103214, 102971, 13153, 30512, 114632, 82533, 107113, 1811, 42016, 61337, 15682, 113702, 30512, 117633, 17663, 105908, 103082, 123207, 5486, 8239, 112, 122502, 120273, 103664, 39209, 35086, 231, 16144, 111671, 30512, 89783, 118273, 103470, 84389, 5486, 114731, 102781, 22398, 102663, 115478, 64178, 123160, 105047, 26854, 104873, 64531, 117824, 119178, 47884, 47884, 109020, 109755, 33121, 107407, 863, 720, 2345, 124109, 25197, 78459, 8165, 70, 1339, 21519, 7910, 8, 5936, 220, 17, 11, 220, 2366, 17, 198, 39880, 68759, 118091, 16073, 16556, 8239, 112, 122502, 103214, 40862, 102971, 13153, 6447, 127164, 77181, 5486, 61056, 106616, 39209, 35086, 231, 112607, 16144, 101182, 8239, 112, 103214, 30512, 102971, 13153, 54926, 102052, 5486, 39209, 35086, 231, 110904, 25129, 113245, 105005, 104736, 102647, 123680, 16556, 103188, 103268, 9039, 30512, 50928, 30369, 109215, 107407, 1811, 108695, 15682, 104356, 113679, 30512, 50338, 25132, 229, 56051, 31431, 5486, 102647, 123680, 20230, 75910, 17701, 123410, 104309, 5486, 8239, 112, 103214, 102971, 13153, 30512, 100525, 101, 104698, 39926, 105898, 29295, 5486, 59739, 119178, 6447, 720, 2345, 114883, 105635, 112465, 15120, 8165, 6746, 72, 718, 24604, 8, 5936, 220, 17, 11, 220, 2366, 17, 198, 102472, 112694, 102439, 16144, 41758, 42634, 112164, 33710, 106613, 111587, 35083, 104364, 103129, 101544, 20230, 15120, 102465, 30512, 80172, 100204, 28713, 30926, 15682, 105184, 32149, 9174, 2345, 220, 102717, 42891, 22957, 31431, 605, 108104, 8165, 76392, 40, 86, 20, 35, 3487, 80, 27542, 3642, 5932, 8, 5936, 220, 20, 11, 220, 2366, 17, 198, 73361, 39880, 68759, 118091, 16073, 16556, 8239, 112, 103214, 102971, 13153, 102416, 63923, 106, 123028, 53953, 89753, 26955, 254, 28542, 102362, 46034, 127242, 5486, 104195, 115464, 105318, 5232, 103293, 9080, 116491, 68408, 76428, 122258, 720, 8239, 112, 122502, 103214, 40862, 16144, 53229, 28542, 30512, 114140, 54926, 57980, 16995, 101513, 38093, 1811, 32977, 107173, 19732, 127164, 15682, 8239, 112, 122502, 117401, 29295, 109466, 102189, 100472, 113334, 16556, 5486, 105298, 37087, 26854, 91875, 50834, 16144, 109095, 76706, 1811, 102433, 125030, 114598, 27384, 112495, 100927, 120117, 9174, 2345, 105731, 40526, 41920, 104703, 8165, 11387, 88, 309, 351, 56017, 8, 5936, 220, 17, 11, 220, 2366, 17, 198, 14711, 43444, 85701, 103296, 99849, 27479, 32977, 108695, 110366, 20230, 103558, 108, 116216, 105898, 16325, 7705, 59739, 119178, 39880, 68759, 118091, 113883, 8239, 112, 122502, 30046, 111848, 103214, 40862, 29295, 45918, 243, 21990, 102416, 6447, 16519, 3711, 111848, 8239, 112, 122502, 30046, 102729, 122, 18655, 33014, 44416, 20230, 15120, 102465, 30512, 80172, 100204, 30369, 100909, 108176, 32149, 95532, 85701, 15682, 101704, 21105, 114, 111331, 109529, 78943, 19732, 78244, 105262, 102944, 111769, 123253, 32149, 9174, 39880, 68759, 118091, 16073, 110366, 29295, 30591, 33503, 106644, 30369, 46034, 38574, 30512, 33035, 100204, 38144, 8239, 112, 103214, 16144, 102971, 13153, 30512, 100525, 101, 104698, 9458, 114632, 82533, 39926, 105898, 105908, 16995, 78183, 106824, 50834, 79721, 29295, 115515, 18904, 16144, 73361, 29504, 102404, 16144, 8239, 112, 103214, 102971, 13153, 30512, 33035, 100204, 38144, 5486, 16519, 3711, 111848, 8239, 112, 122502, 30046, 102729, 122, 18655, 33014, 44416, 20230, 15120, 102465, 30512, 80172, 100204, 30369, 100909, 108176, 32149, 29295, 102616, 16325, 16556, 26130, 30832, 116216, 61689, 9174, 77693, 103378, 5486, 73361, 117409, 16144, 43240, 119064, 8239, 112, 122502, 30046, 29295, 5486, 112599, 16144, 16519, 3711, 36668, 106839, 111848, 41758, 42634, 112164, 37823, 78525, 91062, 20230, 104195, 16995, 16937, 112624, 71289, 109688, 101513, 99750, 30512, 119890, 117063, 100934, 102677, 100909, 108995, 15024, 5486, 10110, 76, 31820, 102756, 29220, 78459, 113883, 30177, 104091, 96455, 29295, 102616, 112535, 108008, 20230, 103167, 16995, 106592, 64121, 111243, 7705, 71289, 15682, 31431, 123085, 19732, 57106, 103854, 104533, 73361, 117409, 124911, 104680, 15682, 5486, 105994, 105459, 119707, 59739, 38144, 104435, 103296, 20230, 127814, 13870, 232, 107726, 100934, 120328, 109161, 16144, 102831, 39084, 29295, 13177, 41758, 42634, 112164, 37823, 78525, 91062, 10646, 117083, 102677, 120266, 116499, 114308, 59739, 59739, 101182, 102677, 100909, 26854, 104865, 121061, 101832, 1811, 220, 80673, 115515, 18904, 16144, 73361, 29504, 85707, 16144, 8239, 112, 103214, 102971, 13153, 16144, 118331, 61398, 20230, 119448, 47884, 104940, 126559, 122416, 77181, 16995, 102204, 100604, 123017, 105184, 32149, 108995, 9174, 102677, 123017, 5486, 17663, 16556, 20230, 5486, 41758, 42634, 112164, 33710, 46456, 55487, 114050, 29295, 110544, 255, 37689, 102473, 9458, 122401, 30512, 103130, 107436, 105898, 15836, 10110, 17792, 49792, 53283, 27327, 119735, 5486, 32977, 15682, 71289, 114516, 16144, 106556, 30512, 122062, 102147, 243, 54926, 44971, 115882, 20230, 17129, 103082, 38144, 103801, 76947, 108086, 5486, 102616, 46456, 55487, 114050, 15682, 5486, 112599, 16144, 8239, 112, 122502, 126636, 43240, 9039, 30512, 15836, 20230, 71289, 117063, 101200, 103306, 107991, 104468, 56965, 121953, 100604, 55031, 36785, 9174, 108895, 26854, 104533, 5486, 8239, 112, 122502, 30046, 110366, 29295, 108729, 109904, 17792, 112607, 30512, 36668, 105714, 56051, 31431, 5486, 114435, 110366, 16144, 102729, 122, 18655, 20230, 116875, 108324, 126693, 54926, 108680, 5486, 108695, 20230, 37729, 28425, 99, 103470, 29220, 91482, 30512, 102769, 124195, 103801, 76947, 15682, 115847, 103296, 114516, 29295, 23039, 26854, 106358, 121101, 16144, 43240, 47884, 30512, 15836, 29295, 23039, 26854, 30297, 101200, 117084, 103801, 16995, 5486, 114626, 15682, 5486, 108152, 78683, 66953, 38248, 113, 33710, 102832, 38248, 115, 48552, 76171, 71493, 91062, 104309, 30512, 33035, 100204, 38144, 5486, 32149, 59739, 38144, 104435, 103296, 16144, 68408, 76428, 122258, 117694, 37795, 115, 123141, 30512, 106391, 113638, 107726, 124195, 114732, 103435, 116, 104611, 107407, 9174, 109020, 108680, 1981, 9174, 102131, 113727, 104533, 90620, 104940, 104127, 122416, 32977, 16995, 102204, 100604, 38641, 15024, 5486, 16519, 3711, 30512, 116882, 103892, 114267, 5486, 41758, 42634, 112164, 33710, 109098, 27384, 114435, 30512, 115962, 28542, 114267, 70821, 56965, 103087, 22656, 111848, 102729, 122, 18655, 123141, 58426, 102944, 30512, 115408, 105459, 29295, 36668, 106839, 39926, 114715, 72661, 104721, 58942, 100481, 47884, 109215, 115991, 102131, 125651, 9174, 108895, 56051, 29504, 103496, 114792, 28713, 100604, 109098, 27384, 103087, 22656, 110095, 48634, 111848, 106063, 114940, 123141, 30512, 104405, 112649, 54926, 102052, 123334, 15682, 31431, 36896, 106444, 9458, 105212, 10646, 29295, 41758, 42634, 112164, 33710, 103087, 22656, 110095, 48634, 16144, 103181, 103682, 45144, 97, 104856, 76947, 115847, 29295, 29504, 70821, 16144, 51609, 71289, 112607, 60632, 30512, 21105, 96, 107277, 19732, 106154, 107462, 47884, 123141, 30512, 109205, 69978, 107726, 100481, 47884, 67016, 100604, 119150, 15024, 106116, 103846, 102052, 5486, 103926, 29504, 9554, 16556, 17129, 42891, 78699, 26854, 103424, 64209, 71289, 103424, 109375, 114792, 59739, 110886, 46729, 30512, 122485, 72661, 43240, 47884, 29504, 38093, 20230, 37705, 31431, 104526, 104127, 16995, 47884, 105908, 109215, 109947, 124490, 36785, 9174, 64121, 28713, 110229, 5486, 112599, 16144, 58318, 104478, 75513, 112607, 20230, 105856, 106053, 109904, 37689, 91774, 30512, 102404, 103792, 78244, 105242, 107707, 16325, 105352, 5486, 41758, 42634, 112164, 37823, 78525, 91062, 30512, 124615, 21105, 103, 29295, 33503, 106444, 123141, 16144, 83799, 101805, 116, 33208, 71289, 127814, 13870, 232, 30512, 21043, 104736, 103792, 104466, 64121, 105262, 113679, 29295, 107471, 91774, 107001, 15024, 123085, 29504, 70821, 16144, 56965, 121960, 5486, 106444, 112607, 48634, 121142, 103470, 5486, 106444, 30512, 72404, 104087, 56051, 109098, 27384, 114435, 71289, 103087, 22656, 113115, 120837, 5486, 103435, 238, 107750, 9554, 9458, 105856, 106053, 109904, 113116, 30512, 101662, 104127, 16995, 47884, 100909, 16144, 109215, 34171, 30512, 112391, 100934, 57980, 9174, 108895, 56051, 37689, 109375, 30512, 125821, 26955, 94, 102639, 100481, 47884, 103846, 102052, 5486, 126843, 15682, 10110, 41758, 42634, 112164, 124766, 113468, 109178, 58942, 122382, 109115, 7705, 13177, 102433, 116537, 102616, 16556, 32335, 32977, 8239, 96, 100472, 121593, 10646, 104309, 102083, 100472, 11239, 239, 23602, 230, 16556, 37026, 84264, 238, 109904, 37689, 109375, 30512, 104721, 58942, 100481, 47884, 105908, 107693, 38641, 15024, 115515, 74482, 32977, 40265, 116229, 77181, 13177, 40053, 20230, 102616, 109904, 91875, 50834, 30512, 124981, 108981, 21105, 103, 29295, 33503, 123085, 16144, 29504, 70821, 71289, 110577, 25359, 16144, 106222, 123141, 9458, 106063, 37026 ]
[ 16144, 106581, 71289, 108044, 105156, 30512, 106154, 107462, 47884, 66383, 95604, 5486, 108936, 23530, 70821, 71289, 8239, 112, 122502, 30046, 20230, 108385, 31431, 114001, 108064, 59739, 32977, 110745, 91077, 9554, 9458, 11743, 107, 104921, 108, 109904, 89154, 37823, 57207, 115247, 17297, 127303, 33503, 106644, 30369, 110886, 9458, 106222, 109606, 30512, 78698, 107290, 17129, 16995, 31431, 33541, 9174, 59739, 109709, 15682, 5486, 65917, 119184, 9458, 78659, 119184, 67645, 112384, 32977, 13177, 41758, 42634, 112164, 33710, 103087, 22656, 110095, 48634, 113468, 72368, 40862, 16144, 104712, 104466, 108914, 101171, 111, 116216, 103801, 103836, 66383, 95604, 100909, 36785, 15024, 5486, 37087, 38144, 124911, 104680, 29295, 863, 117694, 37795, 115, 33208, 108914, 101171, 111, 863, 55031, 50338, 54322, 84389, 5486, 111764, 16556, 11743, 107, 104921, 108, 109904, 125456, 114792, 59739, 105908, 106084, 30369, 101200, 101983, 104984, 5486, 50834, 104043, 106222, 30512, 37271, 126036, 104712, 112169, 20230, 104721, 58942, 100481, 47884, 105908, 106084, 30369, 102944, 19732, 113727, 100934, 57980, 9174, 37271, 18904, 16144, 13177, 73361, 29504, 102404, 16144, 8239, 112, 103214, 102971, 13153, 10646, 29295, 67645, 16144, 101200, 101983, 107462, 47884, 32149, 32977, 5486, 23530, 70821, 16144, 37689, 109375, 16144, 110794, 24273, 71289, 80988, 239, 105714, 31431, 33671, 30537, 36785, 119150, 15024, 115515, 18904, 16144, 91875, 50834, 29295, 103672, 29220, 105459, 125030, 76947, 104712, 112169, 20230, 103130, 104127, 16995, 47884, 106592, 104195, 47884, 112622, 103836, 57980, 1811, 128001, 128000, 567, 220, 20713, 59983, 15120, 107707, 105408, 16144, 37689, 91774, 20230, 117375, 114475, 76622, 103188, 105557, 100604, 198, 125151, 103792, 16325, 104575, 20230, 48249, 121140, 36896, 113797, 114330, 103792, 61826, 101477, 102, 100927, 104599, 10646, 125001, 33503, 42891, 116826, 30369, 100909, 106046, 61689, 9174, 58426, 100927, 104599, 30512, 113797, 114330, 15024, 120195, 30369, 30591, 109709, 36896, 58426, 100927, 104599, 29295, 39880, 45923, 66953, 112900, 56051, 100909, 104023, 122074, 66383, 109020, 125456, 20230, 14309, 98, 76947, 112987, 100604, 123253, 32149, 9174, 85701, 15682, 19732, 111243, 109688, 117126, 26854, 100909, 38641, 9174, 27452, 116285, 36896, 21990, 107263, 64467, 106839, 10646, 16556, 104622, 106241, 26854, 61826, 101477, 102, 100927, 104599, 30512, 113797, 114330, 107113, 19732, 78434, 9174, 127091, 21990, 107263, 64467, 106839, 107407, 19732, 106116, 100927, 104599, 20230, 64467, 106839, 30512, 121755, 105557, 33541, 9174, 80539, 58426, 33035, 112586, 112990, 5486, 30297, 17129, 47884, 16995, 47884, 105908, 127181, 9174, 102131, 95604, 100927, 104599, 20230, 5486, 27452, 116285, 13177, 107141, 101275, 117503, 105284, 99397, 30512, 112990, 78434, 9174, 13177, 71289, 112043, 31431, 122984, 15024, 120195, 16144, 107141, 101275, 76947, 99959, 39850, 26854, 104127, 109954, 32149, 111329, 104622, 106241, 26854, 100927, 104599, 15682, 103899, 58942, 33541, 9174, 13177, 114774, 5486, 107943, 109335, 100604, 1811, 16325, 104575, 15682, 106222, 16144, 124629, 40526, 1811, 124305, 101275, 127564, 5486, 106222, 117158, 30369, 21990, 107263, 32977, 107991, 1811, 109860, 5486, 25580, 16556, 87177, 103792, 114754, 102334, 33503, 5486, 106353, 111201, 124545, 120117, 115541, 32977, 107141, 101275, 16556, 21105, 103, 118145, 105110, 100604, 111329, 58426, 104466, 117952, 103468, 74482, 101477, 102, 100927, 104599, 29295, 111476, 13177, 122984, 104356, 16144, 107141, 101275, 32977, 120837, 104712, 111329, 114774, 111476, 13177, 122984, 104356, 16144, 107141, 101275, 32977, 54926, 125231, 36785, 111329, 102677, 105933, 125456, 20230, 14309, 98, 30369, 107803, 38641, 9174, 61826, 101477, 102, 100927, 104599, 16144, 112844, 106592, 122617, 165, 72581, 17857, 239, 64121, 116446, 114732, 16144, 38641, 9174, 32977, 43514, 85791, 25827, 115847, 15682, 110993, 79982, 26854, 27452, 38641, 9174, 72661, 5486, 53283, 121140, 16144, 117591, 20230, 108895, 26854, 76947, 103801, 103836, 100927, 104599, 29295, 43240, 117714, 38641, 9174, 115364, 122225, 16556, 5486, 126128, 44416, 21105, 103, 16995, 102083, 124324, 16144, 38641, 9174, 13177, 21990, 107263, 64467, 106839, 29295, 104622, 106241, 10646, 104023, 13177, 107141, 101275, 48634, 32977, 104622, 106241, 111329, 19732, 122225, 39926, 112987, 124324, 16144, 38641, 9174, 32977, 43514, 85791, 25827, 102131, 95604, 107803, 32977, 57903, 33541, 9174, 80673, 5486, 122617, 29295, 102131, 111769, 116497, 38641, 9174, 114774, 5486, 106613, 111186, 112535, 112844, 19732, 121906, 16556, 100604, 107803, 29295, 43240, 117714, 38641, 9174, 567, 220, 25963, 59983, 17620, 102212, 112212, 5486, 104622, 106241, 26854, 100927, 104599, 15682, 108010, 30297, 198, 17620, 102212, 112212, 5486, 104622, 106241, 26854, 100927, 104599, 15682, 108010, 76947, 50834, 33541, 9174, 27452, 116285, 111476, 9458, 21990, 107263, 64467, 106839, 198, 9458, 107141, 101275, 198, 9458, 21990, 107263, 38093, 198, 9458, 48864, 104297, 106613, 112167, 198, 9458, 48864, 8107, 103768, 112167, 198, 9458, 117876, 103991, 198, 9458, 124417, 117812, 120915, 198, 9458, 104378, 50021, 111813, 198, 9458, 45893, 122088, 5486, 110022, 40862, 5486, 1569, 101, 118962, 198, 9458, 123050, 30046, 117271, 198, 16995, 47884, 59739, 116421, 17620, 102212, 15682, 30358, 109020, 32149, 110241, 33121, 107515, 29295, 108048, 108422, 33121, 16144, 17620, 102212, 20230, 77693, 108422, 33121, 107809, 104575, 16556, 104622, 106241, 26854, 100927, 104599, 29295, 107991, 116497, 38641, 9174, 43240, 119064, 17792, 19732, 20834, 38093, 16995, 5486, 121771, 115867, 22656, 30512, 98499, 64121, 5486, 122225, 54926, 118146, 113598, 76947, 72315, 1811, 128001, 128000, 33035, 114622, 16556, 109198, 17701, 56051, 103167, 11883, 33857, 70563, 33710, 1811, 115320, 64121, 112727, 103468, 125344, 103359, 105226, 15682, 6447, 95532, 103167, 11883, 33857, 70563, 33710, 30512, 107740, 54926, 107803, 5486, 111098, 100525, 232, 16144, 113009, 102677, 126465, 29295, 108936, 9554, 38641, 9174, 80673, 110371, 70563, 33710, 30512, 111098, 100525, 232, 116749, 16144, 113173, 16556, 107740, 103792, 102677, 116537, 83747, 103470, 124897, 9174, 104405, 120837, 5486, 111098, 100525, 232, 16144, 103846, 112197, 117434, 102677, 25197, 126989, 29295, 61826, 23039, 39926, 103801, 16995, 29295, 43514, 26854, 105879, 108149, 109709, 114652, 91763, 125167, 31431, 21105, 103, 16995, 33334, 117434, 16144, 70563, 33710, 119627, 198, 77693, 116749, 105352, 8239, 114503, 107407, 103846, 5486, 70563, 33710, 30512, 115320, 126559, 104023, 111098, 100525, 232, 16144, 103846, 102677, 113727, 15682, 103856, 82420, 38641, 9174, 77693, 77181, 116898, 100472, 16995, 67645, 120950, 11883, 108968, 16556, 107740, 110731, 105879, 109954, 32149, 95532, 103350, 15682, 5486, 103167, 11883, 33857, 70563, 33710, 20230, 127730, 110731, 13153, 17620, 15682, 5486, 111482, 103927, 33710, 124373, 103195, 103846, 21990, 22649, 62249, 16144, 51385, 23187, 103351, 31431, 5486, 21990, 22649, 108631, 16144, 100783, 102, 34208, 104309, 20230, 107734, 80195, 59739, 102083, 78183, 106824, 61689, 9174, 58426, 103846, 5486, 21990, 22649, 108631, 29295, 104328, 67645, 47884, 38144, 121410, 9953, 101128, 102, 17129, 110731, 102083, 100472, 111482, 71289, 5486, 21990, 22649, 62249, 29295, 108267, 106824, 114604, 102677, 111482, 20230, 107740, 107001, 105908, 117902, 106624, 100604, 16144, 38641, 9174, 103167, 11883, 33857, 70563, 33710, 20230, 96412, 17129, 104028, 103927, 33710, 102494, 113883, 33857, 15682, 43240, 47884, 124897, 1811, 38641, 55031, 5486, 103927, 33710, 124373, 99046, 224, 18655, 103188, 43240, 16556, 106966, 113266, 30512, 113801, 125119, 39926, 114732, 102083, 100472, 125396, 32977, 108008, 20230, 103167, 47884, 51385, 64209, 39926, 107740, 54926, 105908, 108608, 123017, 27384, 112495, 39850, 37823, 67075, 102083, 105262, 123253, 9174, 121410, 9953, 16144, 21990, 22649, 108631, 29295, 104328, 67645, 47884, 38144, 115200, 102518, 31431, 5486, 21990, 22649, 62249, 16144, 108267, 33121, 29295, 104328, 67645, 16995, 107803, 102052, 112160, 27479, 122412, 104309, 16556, 120761, 105085, 114475, 107441, 64121, 30369, 16144, 30512, 90962, 22398, 22398, 39850, 78434, 9174, 50021, 111813, 21105, 98, 110706, 109606, 77181, 57903, 33541, 29295, 106116, 110674, 54322, 22324, 39926, 102532, 32977, 121894, 29295, 114652, 109020, 102677, 126465, 15682, 24615, 222, 38641, 9174, 114715, 72661, 103856, 47884, 111571, 103397, 30512, 100783, 102, 34208, 39926, 5486, 105298, 71289, 107188, 121410, 9080, 30512, 37705, 30369, 113009, 103167, 11883, 33857, 70563, 33710, 124905, 76947, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 1811, 128001, 128000, 110589, 15682, 99849, 104604, 114654, 30512, 48864, 104369, 104865, 5486, 102677, 100909, 109853, 102181, 50834, 33541, 9174, 86127, 29295, 114654, 30512, 48864, 102802, 27704, 107436, 32149, 33121, 85701, 78250, 8107, 104699, 110706, 108176, 123253, 32149, 9174, 102433, 16144, 108695, 20230, 81258, 107430, 39926, 5486, 108968, 16325, 16556, 126326, 101662, 116581, 30512, 30775, 253, 64121, 5486, 106222, 17792, 22398, 62903, 33710, 108270, 42634, 16144, 121894, 55031, 108436, 107430, 30512, 30358, 101832, 38144, 48915, 103087, 32131, 41758, 115478, 39880, 37823, 109229, 116670, 16556, 117876, 30512, 121256, 9174, 48915, 103087, 39276, 20230, 108436, 107430, 39926, 64121, 38144, 126843, 91763, 100472, 109335, 5486, 37026, 80195, 103792, 114754, 127181, 100909, 9174, 85701, 103350, 46729, 127331, 33503, 67016, 122485, 127331, 33503, 67016, 102677, 87177, 77181, 124897, 9174, 115364, 113727, 30512, 115364, 112690, 16556, 108044, 58942, 100481, 105784, 39850, 114483, 33710, 114792, 103836, 114754, 127181, 5486, 102677, 100909, 38641, 9174, 32977, 43514, 85791, 25827, 36149, 228, 67645, 29295, 102433, 17792, 119627, 5486, 75694, 121710, 31431, 112844, 19732, 198, 30832, 64467, 17663, 30832, 105888, 29295, 112361, 127303, 104984, 5486, 115251, 41007, 29295, 78525, 44971, 100481, 101200, 19732, 106391, 78183, 100604, 9174, 115145, 109933, 11972, 19732, 112844, 32149, 5486, 74245, 120938, 65743, 29295, 37087, 38144, 16144, 112607, 48249, 114792, 76947, 115926, 39926, 123085, 124911, 30926, 114305, 105755, 78183, 107277, 126172, 16995, 38641, 9174, 107943, 127880, 106613, 111186, 30512, 119870, 17129, 107290, 5486, 110589, 15682, 114654, 71289, 108695, 16144, 106581, 123085, 20230, 102780, 31431, 126386, 102944, 30512, 77219, 20230, 119607, 106046, 61689, 9174, 33334, 114308, 40862, 16995, 115962, 76622, 104533, 115003, 231, 102800, 38641, 68230, 68230, 198, 567, 220, 114435, 106581, 19732, 115289, 122279, 34171, 15682, 15120, 105260, 54926, 198, 114654, 109853, 9174, 49691, 231, 120550, 106592, 78244, 105262, 108680, 87177, 122101, 117735, 110034, 119627, 5486, 85707, 107436, 38093, 100472, 48915, 29504, 17792, 19732, 111090, 22398, 52884, 108748, 29220, 55031, 38093, 87177, 30512, 27704, 109013, 31431, 115364, 30926, 104699, 110706, 15682, 109606, 103470, 87177, 72342, 33541, 9174, 122582, 15120, 109247, 103350, 124299, 30512, 30358, 101832, 28713, 100909, 19732, 5486, 17905, 46034, 47884, 87177, 72342, 101860, 101128, 242, 102800, 114284, 30512, 39926, 50834, 79721, 9174, 9458, 15120, 89046, 16144, 77219, 15682, 117896, 55031, 33334, 98499, 64121, 16995, 90620, 76622, 33541, 9174, 122571, 104149, 103296, 102718, 112756, 72516, 16556, 117876, 30512, 109768, 17129, 39926, 5486, 47260, 42634, 96452, 16144, 117375, 16556, 25963, 9953, 119400, 55031, 48915, 29504, 17792, 114181, 101426, 65854, 29295, 114485, 31431, 46702, 9953, 102052, 15120, 121022, 105677, 101275, 9174, 67016, 21105, 251, 33121, 103296, 123085, 16144, 114181, 101426, 30590, 71289, 45736, 104297, 25446, 30512, 121247, 30297, 102895, 103830, 15682, 76171, 66953, 65299, 102860, 16556, 36117, 95, 33121, 32149, 58942, 107462, 79721, 1811, 108031, 58942, 110706, 104699, 110706, 20230, 9174, 108115, 103605, 16144, 102718, 112756, 72516, 15682, 89408, 16144, 85707, 62004, 103296, 59795, 17792, 114181, 101426, 65854, 16556, 104328, 15024, 62004, 50834, 40862, 16995, 5486, 109933, 25197, 78683, 106240, 22398, 70563, 38248, 104, 38248, 226, 114654, 16144, 87177, 122101, 105335, 26269, 52591, 30512, 86867, 39926, 79721, 9174, 76171, 66953, 65299, 102860, 86206, 29295, 51330, 61826, 32977, 106307, 108112, 103950, 19732, 107750, 76947, 115856, 55031, 104435, 114435, 108680, 5486, 107202, 103496, 20230, 80195, 28713, 110731, 16144, 111769, 123253, 32149, 9174, 85701, 30512, 101513, 20230, 117409, 21990, 106518, 20230, 118013, 114941, 31431, 42634, 38248, 104, 33710, 30512, 101523, 227, 50834, 126268, 127123, 114300, 106106, 48634, 16144, 101182, 102944, 126694, 31431, 20834, 109768, 107188, 118145, 123085, 15682, 33541, 33541, 102616, 55031, 22324, 16995, 76622, 109416, 31431, 101983, 104533, 91763, 61689, 9174, 77693, 102052, 126843, 123085, 114435, 16144, 106548, 103214, 64121, 30512, 104721, 58942, 123207, 105110, 100604, 9174, 113116, 105242, 104446, 103470, 111476, 103350, 48634, 121930, 16556, 103350, 116486, 20230, 106608, 100204, 38144, 110226, 17701, 29295, 122060, 54926, 114435, 16556, 26854, 50834, 101668, 104622, 106241, 26854, 116537, 43167, 17129, 110104, 9174, 127880, 53283, 103836, 48249, 31431, 5486, 106084, 30369, 114754, 91875, 47884, 39177, 15682, 112427, 124097, 64209, 105755, 99849, 105755, 33334, 35330, 38641, 9174, 102433, 116537, 102616, 72661, 122502, 50834, 103188, 105557, 19732, 117952, 115032, 110115, 21990, 106518, 34171, 29295, 103167, 16995, 19732, 117952, 106824, 101704, 102800, 119627, 5486, 114667, 15682, 110904, 116254, 9174, 117876, 16144, 91062, 99959, 29295, 127181, 55031, 9174, 108618, 101275, 5486, 38093, 104760, 5486, 115320, 64121, 5486, 105677, 9080, 104196, 17905, 16144, 113841, 104309, 104309, 90578, 104622, 106241, 26854, 17792, 104067, 15682, 108064, 32977, 115364, 95001, 112603, 30512, 108867, 76947, 61689, 9174, 86127, 29295, 104157, 28713, 48915, 103087, 39276, 17, 61337, 72661, 5486, 106613, 112167, 123717, 71289, 77693, 20230, 33671, 104699, 107059, 117718, 116537, 59614, 101860, 22845, 258, 20230, 125104, 103792, 15024, 5486, 112361, 105933, 89154, 76428, 104272, 30512, 108436, 104680, 103306, 61689, 9174, 107943, 17792, 103234, 29295, 101523, 227, 123457, 112391, 30369, 104468, 33334, 35330, 19732, 5486, 111764, 27479, 29295, 126574, 114435, 111769, 123253, 32149, 9174, 114654, 29295, 87177, 122101, 102677, 104468, 99849, 20230, 72342, 57980, 39880, 45923, 66953, 108304, 78767, 16556, 106116, 107059, 117718, 116537, 114654, 29295, 87177, 127397, 112672, 102677, 112391, 16556, 56051, 9174, 86127, 29295, 117876, 16556, 33655, 30297, 114654, 15682, 30177, 65854, 114654, 16556, 5486, 48915, 29504, 17792, 114181, 101426, 65854, 20230, 116245, 16144, 81742, 32943, 71289, 19000, 107086, 16144, 19361, 43568, 5486, 46456, 124237, 16995, 41007, 104309, 107691, 16995, 53953, 41642, 111331, 105908, 36149 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16144, 106581, 71289, 108044, 105156, 30512, 106154, 107462, 47884, 66383, 95604, 5486, 108936, 23530, 70821, 71289, 8239, 112, 122502, 30046, 20230, 108385, 31431, 114001, 108064, 59739, 32977, 110745, 91077, 9554, 9458, 11743, 107, 104921, 108, 109904, 89154, 37823, 57207, 115247, 17297, 127303, 33503, 106644, 30369, 110886, 9458, 106222, 109606, 30512, 78698, 107290, 17129, 16995, 31431, 33541, 9174, 59739, 109709, 15682, 5486, 65917, 119184, 9458, 78659, 119184, 67645, 112384, 32977, 13177, 41758, 42634, 112164, 33710, 103087, 22656, 110095, 48634, 113468, 72368, 40862, 16144, 104712, 104466, 108914, 101171, 111, 116216, 103801, 103836, 66383, 95604, 100909, 36785, 15024, 5486, 37087, 38144, 124911, 104680, 29295, 863, 117694, 37795, 115, 33208, 108914, 101171, 111, 863, 55031, 50338, 54322, 84389, 5486, 111764, 16556, 11743, 107, 104921, 108, 109904, 125456, 114792, 59739, 105908, 106084, 30369, 101200, 101983, 104984, 5486, 50834, 104043, 106222, 30512, 37271, 126036, 104712, 112169, 20230, 104721, 58942, 100481, 47884, 105908, 106084, 30369, 102944, 19732, 113727, 100934, 57980, 9174, 37271, 18904, 16144, 13177, 73361, 29504, 102404, 16144, 8239, 112, 103214, 102971, 13153, 10646, 29295, 67645, 16144, 101200, 101983, 107462, 47884, 32149, 32977, 5486, 23530, 70821, 16144, 37689, 109375, 16144, 110794, 24273, 71289, 80988, 239, 105714, 31431, 33671, 30537, 36785, 119150, 15024, 115515, 18904, 16144, 91875, 50834, 29295, 103672, 29220, 105459, 125030, 76947, 104712, 112169, 20230, 103130, 104127, 16995, 47884, 106592, 104195, 47884, 112622, 103836, 57980, 1811, 128001, 128000, 567, 220, 20713, 59983, 15120, 107707, 105408, 16144, 37689, 91774, 20230, 117375, 114475, 76622, 103188, 105557, 100604, 198, 125151, 103792, 16325, 104575, 20230, 48249, 121140, 36896, 113797, 114330, 103792, 61826, 101477, 102, 100927, 104599, 10646, 125001, 33503, 42891, 116826, 30369, 100909, 106046, 61689, 9174, 58426, 100927, 104599, 30512, 113797, 114330, 15024, 120195, 30369, 30591, 109709, 36896, 58426, 100927, 104599, 29295, 39880, 45923, 66953, 112900, 56051, 100909, 104023, 122074, 66383, 109020, 125456, 20230, 14309, 98, 76947, 112987, 100604, 123253, 32149, 9174, 85701, 15682, 19732, 111243, 109688, 117126, 26854, 100909, 38641, 9174, 27452, 116285, 36896, 21990, 107263, 64467, 106839, 10646, 16556, 104622, 106241, 26854, 61826, 101477, 102, 100927, 104599, 30512, 113797, 114330, 107113, 19732, 78434, 9174, 127091, 21990, 107263, 64467, 106839, 107407, 19732, 106116, 100927, 104599, 20230, 64467, 106839, 30512, 121755, 105557, 33541, 9174, 80539, 58426, 33035, 112586, 112990, 5486, 30297, 17129, 47884, 16995, 47884, 105908, 127181, 9174, 102131, 95604, 100927, 104599, 20230, 5486, 27452, 116285, 13177, 107141, 101275, 117503, 105284, 99397, 30512, 112990, 78434, 9174, 13177, 71289, 112043, 31431, 122984, 15024, 120195, 16144, 107141, 101275, 76947, 99959, 39850, 26854, 104127, 109954, 32149, 111329, 104622, 106241, 26854, 100927, 104599, 15682, 103899, 58942, 33541, 9174, 13177, 114774, 5486, 107943, 109335, 100604, 1811, 16325, 104575, 15682, 106222, 16144, 124629, 40526, 1811, 124305, 101275, 127564, 5486, 106222, 117158, 30369, 21990, 107263, 32977, 107991, 1811, 109860, 5486, 25580, 16556, 87177, 103792, 114754, 102334, 33503, 5486, 106353, 111201, 124545, 120117, 115541, 32977, 107141, 101275, 16556, 21105, 103, 118145, 105110, 100604, 111329, 58426, 104466, 117952, 103468, 74482, 101477, 102, 100927, 104599, 29295, 111476, 13177, 122984, 104356, 16144, 107141, 101275, 32977, 120837, 104712, 111329, 114774, 111476, 13177, 122984, 104356, 16144, 107141, 101275, 32977, 54926, 125231, 36785, 111329, 102677, 105933, 125456, 20230, 14309, 98, 30369, 107803, 38641, 9174, 61826, 101477, 102, 100927, 104599, 16144, 112844, 106592, 122617, 165, 72581, 17857, 239, 64121, 116446, 114732, 16144, 38641, 9174, 32977, 43514, 85791, 25827, 115847, 15682, 110993, 79982, 26854, 27452, 38641, 9174, 72661, 5486, 53283, 121140, 16144, 117591, 20230, 108895, 26854, 76947, 103801, 103836, 100927, 104599, 29295, 43240, 117714, 38641, 9174, 115364, 122225, 16556, 5486, 126128, 44416, 21105, 103, 16995, 102083, 124324, 16144, 38641, 9174, 13177, 21990, 107263, 64467, 106839, 29295, 104622, 106241, 10646, 104023, 13177, 107141, 101275, 48634, 32977, 104622, 106241, 111329, 19732, 122225, 39926, 112987, 124324, 16144, 38641, 9174, 32977, 43514, 85791, 25827, 102131, 95604, 107803, 32977, 57903, 33541, 9174, 80673, 5486, 122617, 29295, 102131, 111769, 116497, 38641, 9174, 114774, 5486, 106613, 111186, 112535, 112844, 19732, 121906, 16556, 100604, 107803, 29295, 43240, 117714, 38641, 9174, 567, 220, 25963, 59983, 17620, 102212, 112212, 5486, 104622, 106241, 26854, 100927, 104599, 15682, 108010, 30297, 198, 17620, 102212, 112212, 5486, 104622, 106241, 26854, 100927, 104599, 15682, 108010, 76947, 50834, 33541, 9174, 27452, 116285, 111476, 9458, 21990, 107263, 64467, 106839, 198, 9458, 107141, 101275, 198, 9458, 21990, 107263, 38093, 198, 9458, 48864, 104297, 106613, 112167, 198, 9458, 48864, 8107, 103768, 112167, 198, 9458, 117876, 103991, 198, 9458, 124417, 117812, 120915, 198, 9458, 104378, 50021, 111813, 198, 9458, 45893, 122088, 5486, 110022, 40862, 5486, 1569, 101, 118962, 198, 9458, 123050, 30046, 117271, 198, 16995, 47884, 59739, 116421, 17620, 102212, 15682, 30358, 109020, 32149, 110241, 33121, 107515, 29295, 108048, 108422, 33121, 16144, 17620, 102212, 20230, 77693, 108422, 33121, 107809, 104575, 16556, 104622, 106241, 26854, 100927, 104599, 29295, 107991, 116497, 38641, 9174, 43240, 119064, 17792, 19732, 20834, 38093, 16995, 5486, 121771, 115867, 22656, 30512, 98499, 64121, 5486, 122225, 54926, 118146, 113598, 76947, 72315, 1811, 128001, 128000, 33035, 114622, 16556, 109198, 17701, 56051, 103167, 11883, 33857, 70563, 33710, 1811, 115320, 64121, 112727, 103468, 125344, 103359, 105226, 15682, 6447, 95532, 103167, 11883, 33857, 70563, 33710, 30512, 107740, 54926, 107803, 5486, 111098, 100525, 232, 16144, 113009, 102677, 126465, 29295, 108936, 9554, 38641, 9174, 80673, 110371, 70563, 33710, 30512, 111098, 100525, 232, 116749, 16144, 113173, 16556, 107740, 103792, 102677, 116537, 83747, 103470, 124897, 9174, 104405, 120837, 5486, 111098, 100525, 232, 16144, 103846, 112197, 117434, 102677, 25197, 126989, 29295, 61826, 23039, 39926, 103801, 16995, 29295, 43514, 26854, 105879, 108149, 109709, 114652, 91763, 125167, 31431, 21105, 103, 16995, 33334, 117434, 16144, 70563, 33710, 119627, 198, 77693, 116749, 105352, 8239, 114503, 107407, 103846, 5486, 70563, 33710, 30512, 115320, 126559, 104023, 111098, 100525, 232, 16144, 103846, 102677, 113727, 15682, 103856, 82420, 38641, 9174, 77693, 77181, 116898, 100472, 16995, 67645, 120950, 11883, 108968, 16556, 107740, 110731, 105879, 109954, 32149, 95532, 103350, 15682, 5486, 103167, 11883, 33857, 70563, 33710, 20230, 127730, 110731, 13153, 17620, 15682, 5486, 111482, 103927, 33710, 124373, 103195, 103846, 21990, 22649, 62249, 16144, 51385, 23187, 103351, 31431, 5486, 21990, 22649, 108631, 16144, 100783, 102, 34208, 104309, 20230, 107734, 80195, 59739, 102083, 78183, 106824, 61689, 9174, 58426, 103846, 5486, 21990, 22649, 108631, 29295, 104328, 67645, 47884, 38144, 121410, 9953, 101128, 102, 17129, 110731, 102083, 100472, 111482, 71289, 5486, 21990, 22649, 62249, 29295, 108267, 106824, 114604, 102677, 111482, 20230, 107740, 107001, 105908, 117902, 106624, 100604, 16144, 38641, 9174, 103167, 11883, 33857, 70563, 33710, 20230, 96412, 17129, 104028, 103927, 33710, 102494, 113883, 33857, 15682, 43240, 47884, 124897, 1811, 38641, 55031, 5486, 103927, 33710, 124373, 99046, 224, 18655, 103188, 43240, 16556, 106966, 113266, 30512, 113801, 125119, 39926, 114732, 102083, 100472, 125396, 32977, 108008, 20230, 103167, 47884, 51385, 64209, 39926, 107740, 54926, 105908, 108608, 123017, 27384, 112495, 39850, 37823, 67075, 102083, 105262, 123253, 9174, 121410, 9953, 16144, 21990, 22649, 108631, 29295, 104328, 67645, 47884, 38144, 115200, 102518, 31431, 5486, 21990, 22649, 62249, 16144, 108267, 33121, 29295, 104328, 67645, 16995, 107803, 102052, 112160, 27479, 122412, 104309, 16556, 120761, 105085, 114475, 107441, 64121, 30369, 16144, 30512, 90962, 22398, 22398, 39850, 78434, 9174, 50021, 111813, 21105, 98, 110706, 109606, 77181, 57903, 33541, 29295, 106116, 110674, 54322, 22324, 39926, 102532, 32977, 121894, 29295, 114652, 109020, 102677, 126465, 15682, 24615, 222, 38641, 9174, 114715, 72661, 103856, 47884, 111571, 103397, 30512, 100783, 102, 34208, 39926, 5486, 105298, 71289, 107188, 121410, 9080, 30512, 37705, 30369, 113009, 103167, 11883, 33857, 70563, 33710, 124905, 76947, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 1811, 128001, 128000, 110589, 15682, 99849, 104604, 114654, 30512, 48864, 104369, 104865, 5486, 102677, 100909, 109853, 102181, 50834, 33541, 9174, 86127, 29295, 114654, 30512, 48864, 102802, 27704, 107436, 32149, 33121, 85701, 78250, 8107, 104699, 110706, 108176, 123253, 32149, 9174, 102433, 16144, 108695, 20230, 81258, 107430, 39926, 5486, 108968, 16325, 16556, 126326, 101662, 116581, 30512, 30775, 253, 64121, 5486, 106222, 17792, 22398, 62903, 33710, 108270, 42634, 16144, 121894, 55031, 108436, 107430, 30512, 30358, 101832, 38144, 48915, 103087, 32131, 41758, 115478, 39880, 37823, 109229, 116670, 16556, 117876, 30512, 121256, 9174, 48915, 103087, 39276, 20230, 108436, 107430, 39926, 64121, 38144, 126843, 91763, 100472, 109335, 5486, 37026, 80195, 103792, 114754, 127181, 100909, 9174, 85701, 103350, 46729, 127331, 33503, 67016, 122485, 127331, 33503, 67016, 102677, 87177, 77181, 124897, 9174, 115364, 113727, 30512, 115364, 112690, 16556, 108044, 58942, 100481, 105784, 39850, 114483, 33710, 114792, 103836, 114754, 127181, 5486, 102677, 100909, 38641, 9174, 32977, 43514, 85791, 25827, 36149, 228, 67645, 29295, 102433, 17792, 119627, 5486, 75694, 121710, 31431, 112844, 19732, 198, 30832, 64467, 17663, 30832, 105888, 29295, 112361, 127303, 104984, 5486, 115251, 41007, 29295, 78525, 44971, 100481, 101200, 19732, 106391, 78183, 100604, 9174, 115145, 109933, 11972, 19732, 112844, 32149, 5486, 74245, 120938, 65743, 29295, 37087, 38144, 16144, 112607, 48249, 114792, 76947, 115926, 39926, 123085, 124911, 30926, 114305, 105755, 78183, 107277, 126172, 16995, 38641, 9174, 107943, 127880, 106613, 111186, 30512, 119870, 17129, 107290, 5486, 110589, 15682, 114654, 71289, 108695, 16144, 106581, 123085, 20230, 102780, 31431, 126386, 102944, 30512, 77219, 20230, 119607, 106046, 61689, 9174, 33334, 114308, 40862, 16995, 115962, 76622, 104533, 115003, 231, 102800, 38641, 68230, 68230, 198, 567, 220, 114435, 106581, 19732, 115289, 122279, 34171, 15682, 15120, 105260, 54926, 198, 114654, 109853, 9174, 49691, 231, 120550, 106592, 78244, 105262, 108680, 87177, 122101, 117735, 110034, 119627, 5486, 85707, 107436, 38093, 100472, 48915, 29504, 17792, 19732, 111090, 22398, 52884, 108748, 29220, 55031, 38093, 87177, 30512, 27704, 109013, 31431, 115364, 30926, 104699, 110706, 15682, 109606, 103470, 87177, 72342, 33541, 9174, 122582, 15120, 109247, 103350, 124299, 30512, 30358, 101832, 28713, 100909, 19732, 5486, 17905, 46034, 47884, 87177, 72342, 101860, 101128, 242, 102800, 114284, 30512, 39926, 50834, 79721, 9174, 9458, 15120, 89046, 16144, 77219, 15682, 117896, 55031, 33334, 98499, 64121, 16995, 90620, 76622, 33541, 9174, 122571, 104149, 103296, 102718, 112756, 72516, 16556, 117876, 30512, 109768, 17129, 39926, 5486, 47260, 42634, 96452, 16144, 117375, 16556, 25963, 9953, 119400, 55031, 48915, 29504, 17792, 114181, 101426, 65854, 29295, 114485, 31431, 46702, 9953, 102052, 15120, 121022, 105677, 101275, 9174, 67016, 21105, 251, 33121, 103296, 123085, 16144, 114181, 101426, 30590, 71289, 45736, 104297, 25446, 30512, 121247, 30297, 102895, 103830, 15682, 76171, 66953, 65299, 102860, 16556, 36117, 95, 33121, 32149, 58942, 107462, 79721, 1811, 108031, 58942, 110706, 104699, 110706, 20230, 9174, 108115, 103605, 16144, 102718, 112756, 72516, 15682, 89408, 16144, 85707, 62004, 103296, 59795, 17792, 114181, 101426, 65854, 16556, 104328, 15024, 62004, 50834, 40862, 16995, 5486, 109933, 25197, 78683, 106240, 22398, 70563, 38248, 104, 38248, 226, 114654, 16144, 87177, 122101, 105335, 26269, 52591, 30512, 86867, 39926, 79721, 9174, 76171, 66953, 65299, 102860, 86206, 29295, 51330, 61826, 32977, 106307, 108112, 103950, 19732, 107750, 76947, 115856, 55031, 104435, 114435, 108680, 5486, 107202, 103496, 20230, 80195, 28713, 110731, 16144, 111769, 123253, 32149, 9174, 85701, 30512, 101513, 20230, 117409, 21990, 106518, 20230, 118013, 114941, 31431, 42634, 38248, 104, 33710, 30512, 101523, 227, 50834, 126268, 127123, 114300, 106106, 48634, 16144, 101182, 102944, 126694, 31431, 20834, 109768, 107188, 118145, 123085, 15682, 33541, 33541, 102616, 55031, 22324, 16995, 76622, 109416, 31431, 101983, 104533, 91763, 61689, 9174, 77693, 102052, 126843, 123085, 114435, 16144, 106548, 103214, 64121, 30512, 104721, 58942, 123207, 105110, 100604, 9174, 113116, 105242, 104446, 103470, 111476, 103350, 48634, 121930, 16556, 103350, 116486, 20230, 106608, 100204, 38144, 110226, 17701, 29295, 122060, 54926, 114435, 16556, 26854, 50834, 101668, 104622, 106241, 26854, 116537, 43167, 17129, 110104, 9174, 127880, 53283, 103836, 48249, 31431, 5486, 106084, 30369, 114754, 91875, 47884, 39177, 15682, 112427, 124097, 64209, 105755, 99849, 105755, 33334, 35330, 38641, 9174, 102433, 116537, 102616, 72661, 122502, 50834, 103188, 105557, 19732, 117952, 115032, 110115, 21990, 106518, 34171, 29295, 103167, 16995, 19732, 117952, 106824, 101704, 102800, 119627, 5486, 114667, 15682, 110904, 116254, 9174, 117876, 16144, 91062, 99959, 29295, 127181, 55031, 9174, 108618, 101275, 5486, 38093, 104760, 5486, 115320, 64121, 5486, 105677, 9080, 104196, 17905, 16144, 113841, 104309, 104309, 90578, 104622, 106241, 26854, 17792, 104067, 15682, 108064, 32977, 115364, 95001, 112603, 30512, 108867, 76947, 61689, 9174, 86127, 29295, 104157, 28713, 48915, 103087, 39276, 17, 61337, 72661, 5486, 106613, 112167, 123717, 71289, 77693, 20230, 33671, 104699, 107059, 117718, 116537, 59614, 101860, 22845, 258, 20230, 125104, 103792, 15024, 5486, 112361, 105933, 89154, 76428, 104272, 30512, 108436, 104680, 103306, 61689, 9174, 107943, 17792, 103234, 29295, 101523, 227, 123457, 112391, 30369, 104468, 33334, 35330, 19732, 5486, 111764, 27479, 29295, 126574, 114435, 111769, 123253, 32149, 9174, 114654, 29295, 87177, 122101, 102677, 104468, 99849, 20230, 72342, 57980, 39880, 45923, 66953, 108304, 78767, 16556, 106116, 107059, 117718, 116537, 114654, 29295, 87177, 127397, 112672, 102677, 112391, 16556, 56051, 9174, 86127, 29295, 117876, 16556, 33655, 30297, 114654, 15682, 30177, 65854, 114654, 16556, 5486, 48915, 29504, 17792, 114181, 101426, 65854, 20230, 116245, 16144, 81742, 32943, 71289, 19000, 107086, 16144, 19361, 43568, 5486, 46456, 124237, 16995, 41007, 104309, 107691, 16995, 53953, 41642, 111331, 105908, 36149 ]
[ 228, 67645, 16556, 56051, 9174, 72661, 101860, 104043, 53508, 231, 104195, 30512, 106307, 107441, 61689, 9174, 567, 59363, 106518, 34171, 19732, 102404, 78244, 48634, 15682, 124560, 54926, 198, 102433, 116537, 115364, 37689, 91774, 30512, 43032, 103854, 30369, 104378, 29295, 116216, 22957, 104435, 72342, 117201, 111476, 102404, 78244, 48634, 29295, 110993, 79982, 20230, 112294, 16995, 9174, 52591, 119930, 71289, 112673, 118517, 26269, 80805, 16144, 43240, 119064, 29504, 77181, 5486, 103899, 58942, 16144, 100604, 53508, 231, 104195, 30512, 111338, 58911, 54926, 102131, 38641, 9174, 122571, 52591, 93488, 117718, 106581, 29295, 105994, 20230, 106384, 67075, 54926, 106046, 76947, 102532, 5486, 45829, 101662, 38144, 71289, 123726, 24273, 104309, 55999, 33035, 54926, 113727, 24273, 29295, 127181, 38641, 59459, 39850, 64178, 16144, 71289, 111842, 31431, 32977, 127145, 68230, 68230, 23954, 103899, 58942, 107407, 106081, 111186, 53508, 231, 104195, 122416, 71289, 103836, 117591, 20230, 117119, 117120, 111201, 37656, 50338, 30512, 32018, 107436, 114732, 123726, 24273, 117084, 114732, 16144, 38641, 9174, 112599, 16144, 102433, 16144, 104575, 16144, 53508, 231, 104195, 41007, 29295, 106116, 123470, 17792, 21990, 105352, 119448, 47884, 117375, 127145, 9174, 122571, 19732, 112844, 19732, 120268, 65316, 119400, 55031, 29220, 122624, 29295, 120111, 103351, 105879, 5486, 29220, 122624, 120706, 30512, 114652, 91774, 100481, 79721, 9174, 102717, 33503, 5486, 80805, 102750, 109554, 20230, 103892, 16144, 126521, 114754, 105360, 104369, 110034, 112130, 1811, 53283, 109375, 17792, 102083, 126832, 17792, 105459, 9174, 102131, 95604, 17792, 30512, 114516, 114181, 105085, 54926, 112973, 122571, 120111, 16556, 56051, 101832, 9174, 30813, 38144, 5486, 112073, 98369, 32977, 114387, 101426, 86354, 20230, 104157, 114146, 115926, 21105, 103, 16995, 108995, 32149, 9174, 13177, 127091, 105284, 99397, 15682, 57903, 33541, 32149, 91006, 198, 13177, 16449, 31195, 1811, 111329, 99849, 104604, 110745, 126636, 114754, 21441, 225, 16995, 32977, 21441, 225, 76947, 13177, 124897, 66383, 95604, 15120, 78244, 30512, 78244, 119841, 104865, 19732, 5486, 113261, 64209, 20230, 122571, 91763, 106358, 102944, 103351, 9174, 102433, 17792, 33503, 106624, 5486, 75267, 30512, 105085, 15024, 85791, 5486, 102677, 104611, 30512, 37705, 103836, 120900, 32149, 9174, 114654, 30512, 87177, 122101, 101200, 108176, 112772, 5486, 115364, 113727, 71289, 37689, 91774, 114792, 59739, 109335, 107693, 16556, 108048, 102052, 39135, 103171, 30926, 120910, 30512, 105994, 30926, 103306, 15017, 231, 105262, 122086, 30512, 47000, 105784, 105908, 99849, 105755, 27384, 102769, 118816, 122571, 91763, 30297, 9174, 117501, 109606, 5486, 80631, 100, 110482, 5486, 102616, 16144, 106592, 5486, 67645, 33121, 103378, 115364, 9080, 40053, 20230, 27869, 238, 122382, 110071, 32149, 9174, 53283, 110104, 55031, 99849, 32977, 125119, 107462, 100604, 113334, 104446, 103470, 5486, 102616, 29295, 27384, 104721, 26854, 24273, 102416, 70141, 32149, 103836, 106592, 53283, 110104, 105908, 109755, 85791, 102800, 16144, 38641, 9174, 51330, 110674, 16144, 99695, 61398, 16556, 114754, 102944, 30512, 33420, 106382, 15024, 5486, 25766, 225, 77062, 226, 54926, 104654, 30512, 106307, 107674, 33503, 30591, 19732, 21, 8107, 16556, 127960, 16144, 126287, 15682, 16, 13, 20, 27479, 17905, 123716, 54926, 102677, 119526, 115991, 33541, 9174, 16, 13, 20, 27479, 126287, 29295, 17905, 123716, 112990, 5486, 43240, 119064, 91875, 53953, 29295, 23039, 50834, 75267, 30512, 21388, 61689, 1811, 109683, 126462, 104698, 15682, 37271, 16144, 66776, 77181, 123733, 31431, 115408, 126027, 104654, 15682, 43240, 119064, 101890, 254, 17044, 110, 30512, 124237, 30297, 123253, 9174, 37271, 29295, 120987, 126694, 103836, 16144, 38641, 9174, 127032, 105459, 20230, 5486, 105150, 127258, 103646, 127960, 16144, 16175, 119, 26955, 255, 16995, 30512, 110408, 15024, 47000, 107441, 126521, 102944, 26854, 104865, 5486, 111140, 20230, 112909, 40265, 38144, 38144, 123120, 54926, 110018, 15682, 37271, 67016, 124897, 9174, 86127, 29295, 48915, 29504, 107707, 76739, 78767, 78349, 52414, 19732, 114654, 16556, 71289, 31431, 108167, 30512, 15024, 28190, 30177, 114475, 76622, 101732, 119400, 16144, 100909, 9174, 48154, 105005, 53283, 119775, 48915, 103087, 39276, 114435, 15682, 22656, 61337, 29295, 48915, 29504, 20230, 57903, 123085, 15682, 15120, 118821, 46456, 61337, 127303, 76947, 27384, 112495, 122074, 112607, 114792, 59739, 109335, 24615, 222, 9174, 89408, 16144, 104149, 55031, 118935, 11883, 114556, 120837, 47260, 42634, 96452, 16144, 101851, 121, 31431, 114475, 76622, 27704, 62004, 5486, 123628, 62004, 31431, 103351, 48915, 103087, 39276, 76739, 78767, 78349, 52414, 16144, 126913, 30046, 55031, 13177, 22656, 125525, 118935, 11883, 29295, 71634, 103830, 39926, 114604, 114435, 29295, 43240, 47884, 115847, 55031, 48154, 81742, 32943, 106084, 30369, 39177, 23538, 29295, 39442, 23187, 104856, 76947, 103801, 16995, 79721, 1811, 102782, 15024, 117735, 124897, 1981, 10646, 19732, 89046, 117139, 29295, 37507, 79721, 9174, 122582, 106548, 24273, 16144, 100604, 100909, 36785, 15024, 117119, 105755, 76739, 78767, 78349, 52414, 32977, 27384, 104721, 108995, 9174, 126913, 16144, 48915, 29504, 17792, 76739, 78767, 78349, 52414, 20230, 198, 13177, 17129, 30591, 37271, 15682, 106548, 24273, 100604, 38641, 109900, 105755, 105994, 105459, 20230, 106084, 30369, 106592, 54926, 67016, 100604, 125651, 58942, 117503, 105933, 17161, 28190, 16556, 104196, 30926, 30512, 118158, 110229, 111476, 13177, 114774, 31195, 126920, 104405, 127564, 126521, 104127, 109954, 101832, 31195, 1811, 112418, 20230, 106084, 30369, 100909, 76947, 15120, 33014, 99849, 26854, 120900, 31195, 111329, 19732, 76739, 78767, 78349, 52414, 103306, 26854, 104865, 114634, 17792, 103306, 26854, 104865, 53283, 110615, 29295, 5486, 89151, 119063, 20230, 113727, 100934, 127303, 103950, 104196, 30926, 9174, 115364, 125525, 122013, 16144, 100909, 123085, 20230, 104157, 38144, 27384, 121313, 26854, 104865, 104309, 86127, 104067, 102052, 101067, 66201, 15024, 20230, 47884, 16995, 39135, 103171, 101067, 16995, 29295, 103188, 105557, 106358, 105272, 119150, 9174, 77693, 55031, 80805, 26269, 47307, 37823, 79785, 22023, 15682, 104435, 105272, 29295, 5486, 118899, 117084, 15120, 22656, 117384, 29295, 32149, 126469, 124284, 1811, 108031, 108436, 107430, 112415, 15682, 21105, 103, 16995, 105879, 108881, 101721, 15682, 103801, 72342, 104127, 56051, 29295, 9174, 108895, 95604, 38093, 87177, 107809, 20230, 5486, 102616, 16144, 106592, 53283, 30369, 46034, 29295, 107277, 107407, 19732, 122571, 91763, 30297, 9174, 99849, 32977, 102750, 25197, 103906, 52884, 105360, 16144, 102404, 79785, 19732, 22398, 91062, 106240, 30813, 30512, 32018, 62004, 125398, 16144, 126194, 5486, 114640, 29295, 33035, 100204, 40862, 30297, 38093, 87177, 29295, 108608, 100909, 127105, 29295, 27384, 102769, 118816, 9174, 567, 106547, 103087, 19732, 32943, 103087, 16144, 122074, 109904, 121953, 19732, 122502, 50834, 103188, 105557, 28713, 101908, 198, 102433, 16144, 115145, 109933, 115247, 43240, 47884, 15682, 5486, 86206, 32977, 84844, 110698, 32977, 102433, 107809, 16556, 47406, 102971, 54926, 9174, 77693, 16556, 104712, 25827, 110034, 11571, 106046, 126832, 108995, 32149, 9174, 102433, 107809, 121142, 102669, 105838, 30512, 121697, 38144, 104405, 112649, 127164, 59795, 20230, 104862, 108064, 108895, 103306, 32977, 5486, 37656, 74245, 30250, 227, 117714, 111769, 32149, 9174, 48915, 103087, 39276, 114435, 15682, 124304, 42891, 16325, 104622, 106241, 26854, 76739, 123581, 114676, 30512, 43240, 109518, 112197, 35330, 16556, 73686, 42891, 105714, 76947, 109749, 9174, 127880, 104157, 28713, 110229, 72661, 121410, 9953, 119775, 17792, 30926, 125053, 122291, 1811, 114754, 104473, 107654, 36785, 114267, 33503, 60868, 32131, 60868, 32131, 26854, 42634, 38248, 111, 44971, 106826, 42634, 64178, 121894, 9174, 48915, 103087, 39276, 29295, 99849, 104604, 5486, 110924, 103296, 17792, 103234, 122635, 107898, 35330, 119707, 105784, 32149, 19732, 78244, 116285, 33334, 105085, 119432, 104466, 5486, 101662, 38144, 109415, 30369, 8239, 112, 48634, 19732, 82973, 19732, 47260, 71634, 30512, 115856, 105784, 126036, 114435, 125030, 76947, 19361, 105576, 109860, 36785, 1811, 92776, 102669, 48634, 108176, 17792, 103234, 55031, 37823, 102741, 61398, 30512, 26130, 48634, 120837, 33503, 30297, 105908, 9174, 108695, 15682, 108156, 36668, 16144, 102944, 5486, 102677, 126067, 29295, 127164, 114435, 15682, 78525, 66953, 113487, 107441, 126574, 9174, 86127, 32977, 24186, 127164, 114435, 16556, 68759, 102750, 78767, 68581, 11972, 30512, 107113, 17905, 65743, 19732, 117876, 30512, 39926, 64121, 38144, 50338, 100472, 9174, 83687, 30512, 20834, 30813, 26854, 50834, 101668, 17905, 117758, 121819, 16556, 71289, 124195, 114732, 9174, 109860, 47307, 52591, 101983, 33503, 75694, 30369, 30512, 50928, 100604, 1981, 10110, 96311, 247, 23954, 102131, 125338, 9080, 104680, 83687, 30512, 121216, 106307, 76622, 26854, 50834, 101668, 105110, 100604, 117501, 107407, 55031, 5486, 73361, 29504, 108156, 15682, 126909, 26854, 104865, 121061, 9174, 95543, 28190, 121906, 95604, 126067, 15682, 102433, 114435, 77181, 116213, 16995, 9174, 17039, 124305, 55031, 101662, 38144, 109415, 38144, 108695, 20230, 110135, 30512, 123653, 107436, 32977, 33503, 30297, 5486, 107943, 103268, 111338, 74245, 111398, 16144, 113146, 32977, 105693, 120900, 29295, 198, 113146, 15682, 108031, 124500, 100472, 9174, 107943, 103188, 86436, 16144, 114435, 33014, 110095, 29295, 61337, 123727, 104473, 89753, 30512, 73597, 252, 117063, 5486, 120379, 103836, 32149, 121061, 105268, 16995, 125396, 16144, 45951, 121, 30512, 112419, 104127, 103801, 103836, 9174, 114435, 20230, 114731, 109315, 71689, 123085, 116537, 89151, 28190, 30832, 26854, 105879, 112073, 21105, 96, 107277, 122502, 108895, 117408, 9174, 127880, 123628, 101908, 15682, 122502, 50834, 103188, 105557, 29295, 113385, 16556, 33334, 103882, 20230, 110074, 102639, 28713, 105908, 101182, 9174, 110924, 55031, 30297, 59739, 115717, 39135, 104680, 19732, 27384, 104721, 103351, 29295, 115408, 15682, 101908, 29295, 85701, 108680, 108695, 20230, 112427, 124097, 64209, 114792, 103836, 120266, 17663, 48154, 47884, 121602, 32149, 103646, 125939, 15682, 108038, 109095, 112454, 39926, 53900, 66953, 37823, 66953, 37823, 122502, 102532, 30369, 117840, 107493, 101832, 5486, 102717, 127842, 103435, 110, 31431, 100604, 92193, 7705, 30591, 33121, 15682, 103268, 111338, 74245, 111398, 36785, 101832, 90578, 102433, 107707, 89151, 28190, 30832, 30813, 19732, 123085, 114435, 106063, 37026, 16144, 119962, 108481, 56051, 106581, 29295, 111764, 26854, 102404, 101067, 16144, 45951, 121, 30512, 21403, 232, 105557, 5486, 102404, 78244, 30512, 32018, 62004, 100604, 104346, 113937, 30512, 21990, 104127, 103801, 103836, 112973, 102321, 103397, 111769, 108995, 32149, 9174, 107943, 29504, 55031, 28873, 28713, 39926, 27665, 36785, 16144, 14783, 20230, 105360, 104369, 964, 114435, 29295, 21990, 17129, 104028, 106046, 61689, 32149, 95532, 964, 66870, 19732, 71289, 33503, 126694, 30369, 112772, 111476, 31809, 16325, 45736, 16144, 107141, 101275, 107809, 96356, 55031, 19967, 31431, 74245, 17663, 24273, 29295, 61826, 9174, 103857, 102832, 84477, 19732, 115981, 48864, 19732, 22398, 70563, 113335, 16144, 100927, 70626, 30512, 103214, 104127, 101682, 111186, 59614, 116156, 70626, 30832, 20230, 15024, 124305, 101275, 104736, 23187, 32977, 111681, 17663, 104466, 54926, 9174, 81258, 107430, 109768, 112495, 31431, 118192, 108270, 16073, 36785, 16144, 22398, 70563, 113335, 36785, 16144, 32018, 62004, 102204, 111243, 112073, 110482, 30369, 108995, 1811, 53508, 231, 104195, 39926, 50834, 38144, 100604, 102189, 102944, 9174, 77693, 29295, 40265, 115926, 25580, 110276, 119400, 117119, 117120, 55031, 32149, 104284, 124475, 30537, 25963, 16144, 27665, 71289, 14783, 15682, 20834, 38144, 109749, 9174, 102433, 116537, 24186, 104680, 104622, 106241, 26854, 105272, 55031, 9174, 567, 104523, 40265, 16144, 50211, 34208, 15682, 53283, 30369, 100909, 55031, 27704, 115464, 198, 102616, 16556, 72718, 50834, 100934, 30926, 5486, 104840, 118937, 33208, 5486, 102456, 42506, 25766, 225, 77062, 226, 5486, 109531, 108506, 11972, 127268, 104309, 30591, 33503, 106644, 30369, 109606, 20230, 5486, 105994, 26854, 111331, 125174, 40526, 114792, 59739, 109335, 27384, 102769, 9174, 117876, 16556, 30177, 39926, 105898, 111482, 16144, 42016, 59999, 248, 16144, 43240, 47884, 15682, 122141, 95604, 109335, 114652, 50338, 110104, 1981, 10646, 19732, 112844, 9174, 26854, 105879, 87177, 29295, 105721, 78183, 30369, 1811, 116900, 20230, 125559, 104654, 16144, 101182, 17792, 5486, 55038, 112827, 117758, 104650, 106718, 71289, 5486, 48915, 29504, 107707, 17905, 65743, 19732, 87177, 123410, 24273, 29295, 122571, 105465, 103351, 15024, 105465, 102800, 19732, 112391, 30369, 9174, 32977, 43514, 85791, 25827, 5486, 42016, 59999, 248, 19732, 122202, 111813, 16556, 39177, 104680, 54926, 125764, 53953, 16144, 87177, 32977, 105465, 102800, 15024, 58666, 103868, 67016, 100472, 102677, 80805, 113883, 87177, 32977, 10110, 102416, 119902, 11972, 7705, 19732, 104655, 47884, 42891, 104702, 104655, 47884, 107493, 198, 15120, 9080, 16325, 125764, 53953, 16144, 87177, 30512, 15024, 106307, 76622, 110071, 32149, 102677, 19732, 86127, 102052, 91062, 37823, 9174, 109834, 103868, 102987, 16995, 105908, 43511, 20230, 3484, 28359, 58942, 50834, 110615, 39607, 101182, 55031, 9174, 122571, 52591, 119930, 107707, 39850, 33710, 98915, 19732, 25963, 8107, 39607, 39850, 64178, 30512, 106307, 76622, 100934, 16144, 119627, 5486, 108064, 32977, 102987, 16995, 87177, 123410, 113334, 104446, 107493, 123085, 16144, 109606, 28542, 5486, 95543, 103359, 20230, 126521, 119150, 110229, 71289, 120007, 32977, 115364, 29504, 109853, 91763, 30297, 30926, 30512, 115791, 31431, 54926, 9174, 71289, 111842, 31431, 30512, 109768, 104533, 37026, 29504, 103926, 114792, 103836, 112973, 62004, 104702, 62004, 104702, 108044, 78183, 76947, 109749, 9174, 110191, 118372, 83947, 38093, 87177, 30512, 107113, 39177, 15682, 5486, 106384, 37823, 70563, 16073, 19000, 101987, 16144, 111482, 16144, 105408, 19732, 104378, 16144, 30926, 104309, 30512, 87177, 56051, 31431, 56051, 9174, 102433, 77181, 123331, 16556, 102404, 79785, 71289, 22398, 70563, 38248, 255, 94550, 16144, 48864, 108710, 30512, 21105, 103, 16995, 100909, 108048, 113468, 119436, 101983, 114598, 87177, 72342, 100604, 113702, 104856, 103836, 100909, 5486, 22398, 70563, 38248, 255, 94550, 15682, 126920, 107693, 26854, 22398, 62903, 33710, 36785, 119150, 19732, 108044, 58942, 104533, 5486, 109834, 103868, 102987, 102131, 20230, 108870, 30512, 101427, 122, 107441, 120700, 58426, 120266, 121602, 16995, 101732, 9174, 102433, 17792, 19732, 113841, 56051, 16995, 106046, 103836, 116537, 123085, 16144, 106581, 20230, 109834, 103868, 107407, 104468, 32977, 43514, 85791, 25827, 117119, 104604, 11571, 104405, 39926 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 228, 67645, 16556, 56051, 9174, 72661, 101860, 104043, 53508, 231, 104195, 30512, 106307, 107441, 61689, 9174, 567, 59363, 106518, 34171, 19732, 102404, 78244, 48634, 15682, 124560, 54926, 198, 102433, 116537, 115364, 37689, 91774, 30512, 43032, 103854, 30369, 104378, 29295, 116216, 22957, 104435, 72342, 117201, 111476, 102404, 78244, 48634, 29295, 110993, 79982, 20230, 112294, 16995, 9174, 52591, 119930, 71289, 112673, 118517, 26269, 80805, 16144, 43240, 119064, 29504, 77181, 5486, 103899, 58942, 16144, 100604, 53508, 231, 104195, 30512, 111338, 58911, 54926, 102131, 38641, 9174, 122571, 52591, 93488, 117718, 106581, 29295, 105994, 20230, 106384, 67075, 54926, 106046, 76947, 102532, 5486, 45829, 101662, 38144, 71289, 123726, 24273, 104309, 55999, 33035, 54926, 113727, 24273, 29295, 127181, 38641, 59459, 39850, 64178, 16144, 71289, 111842, 31431, 32977, 127145, 68230, 68230, 23954, 103899, 58942, 107407, 106081, 111186, 53508, 231, 104195, 122416, 71289, 103836, 117591, 20230, 117119, 117120, 111201, 37656, 50338, 30512, 32018, 107436, 114732, 123726, 24273, 117084, 114732, 16144, 38641, 9174, 112599, 16144, 102433, 16144, 104575, 16144, 53508, 231, 104195, 41007, 29295, 106116, 123470, 17792, 21990, 105352, 119448, 47884, 117375, 127145, 9174, 122571, 19732, 112844, 19732, 120268, 65316, 119400, 55031, 29220, 122624, 29295, 120111, 103351, 105879, 5486, 29220, 122624, 120706, 30512, 114652, 91774, 100481, 79721, 9174, 102717, 33503, 5486, 80805, 102750, 109554, 20230, 103892, 16144, 126521, 114754, 105360, 104369, 110034, 112130, 1811, 53283, 109375, 17792, 102083, 126832, 17792, 105459, 9174, 102131, 95604, 17792, 30512, 114516, 114181, 105085, 54926, 112973, 122571, 120111, 16556, 56051, 101832, 9174, 30813, 38144, 5486, 112073, 98369, 32977, 114387, 101426, 86354, 20230, 104157, 114146, 115926, 21105, 103, 16995, 108995, 32149, 9174, 13177, 127091, 105284, 99397, 15682, 57903, 33541, 32149, 91006, 198, 13177, 16449, 31195, 1811, 111329, 99849, 104604, 110745, 126636, 114754, 21441, 225, 16995, 32977, 21441, 225, 76947, 13177, 124897, 66383, 95604, 15120, 78244, 30512, 78244, 119841, 104865, 19732, 5486, 113261, 64209, 20230, 122571, 91763, 106358, 102944, 103351, 9174, 102433, 17792, 33503, 106624, 5486, 75267, 30512, 105085, 15024, 85791, 5486, 102677, 104611, 30512, 37705, 103836, 120900, 32149, 9174, 114654, 30512, 87177, 122101, 101200, 108176, 112772, 5486, 115364, 113727, 71289, 37689, 91774, 114792, 59739, 109335, 107693, 16556, 108048, 102052, 39135, 103171, 30926, 120910, 30512, 105994, 30926, 103306, 15017, 231, 105262, 122086, 30512, 47000, 105784, 105908, 99849, 105755, 27384, 102769, 118816, 122571, 91763, 30297, 9174, 117501, 109606, 5486, 80631, 100, 110482, 5486, 102616, 16144, 106592, 5486, 67645, 33121, 103378, 115364, 9080, 40053, 20230, 27869, 238, 122382, 110071, 32149, 9174, 53283, 110104, 55031, 99849, 32977, 125119, 107462, 100604, 113334, 104446, 103470, 5486, 102616, 29295, 27384, 104721, 26854, 24273, 102416, 70141, 32149, 103836, 106592, 53283, 110104, 105908, 109755, 85791, 102800, 16144, 38641, 9174, 51330, 110674, 16144, 99695, 61398, 16556, 114754, 102944, 30512, 33420, 106382, 15024, 5486, 25766, 225, 77062, 226, 54926, 104654, 30512, 106307, 107674, 33503, 30591, 19732, 21, 8107, 16556, 127960, 16144, 126287, 15682, 16, 13, 20, 27479, 17905, 123716, 54926, 102677, 119526, 115991, 33541, 9174, 16, 13, 20, 27479, 126287, 29295, 17905, 123716, 112990, 5486, 43240, 119064, 91875, 53953, 29295, 23039, 50834, 75267, 30512, 21388, 61689, 1811, 109683, 126462, 104698, 15682, 37271, 16144, 66776, 77181, 123733, 31431, 115408, 126027, 104654, 15682, 43240, 119064, 101890, 254, 17044, 110, 30512, 124237, 30297, 123253, 9174, 37271, 29295, 120987, 126694, 103836, 16144, 38641, 9174, 127032, 105459, 20230, 5486, 105150, 127258, 103646, 127960, 16144, 16175, 119, 26955, 255, 16995, 30512, 110408, 15024, 47000, 107441, 126521, 102944, 26854, 104865, 5486, 111140, 20230, 112909, 40265, 38144, 38144, 123120, 54926, 110018, 15682, 37271, 67016, 124897, 9174, 86127, 29295, 48915, 29504, 107707, 76739, 78767, 78349, 52414, 19732, 114654, 16556, 71289, 31431, 108167, 30512, 15024, 28190, 30177, 114475, 76622, 101732, 119400, 16144, 100909, 9174, 48154, 105005, 53283, 119775, 48915, 103087, 39276, 114435, 15682, 22656, 61337, 29295, 48915, 29504, 20230, 57903, 123085, 15682, 15120, 118821, 46456, 61337, 127303, 76947, 27384, 112495, 122074, 112607, 114792, 59739, 109335, 24615, 222, 9174, 89408, 16144, 104149, 55031, 118935, 11883, 114556, 120837, 47260, 42634, 96452, 16144, 101851, 121, 31431, 114475, 76622, 27704, 62004, 5486, 123628, 62004, 31431, 103351, 48915, 103087, 39276, 76739, 78767, 78349, 52414, 16144, 126913, 30046, 55031, 13177, 22656, 125525, 118935, 11883, 29295, 71634, 103830, 39926, 114604, 114435, 29295, 43240, 47884, 115847, 55031, 48154, 81742, 32943, 106084, 30369, 39177, 23538, 29295, 39442, 23187, 104856, 76947, 103801, 16995, 79721, 1811, 102782, 15024, 117735, 124897, 1981, 10646, 19732, 89046, 117139, 29295, 37507, 79721, 9174, 122582, 106548, 24273, 16144, 100604, 100909, 36785, 15024, 117119, 105755, 76739, 78767, 78349, 52414, 32977, 27384, 104721, 108995, 9174, 126913, 16144, 48915, 29504, 17792, 76739, 78767, 78349, 52414, 20230, 198, 13177, 17129, 30591, 37271, 15682, 106548, 24273, 100604, 38641, 109900, 105755, 105994, 105459, 20230, 106084, 30369, 106592, 54926, 67016, 100604, 125651, 58942, 117503, 105933, 17161, 28190, 16556, 104196, 30926, 30512, 118158, 110229, 111476, 13177, 114774, 31195, 126920, 104405, 127564, 126521, 104127, 109954, 101832, 31195, 1811, 112418, 20230, 106084, 30369, 100909, 76947, 15120, 33014, 99849, 26854, 120900, 31195, 111329, 19732, 76739, 78767, 78349, 52414, 103306, 26854, 104865, 114634, 17792, 103306, 26854, 104865, 53283, 110615, 29295, 5486, 89151, 119063, 20230, 113727, 100934, 127303, 103950, 104196, 30926, 9174, 115364, 125525, 122013, 16144, 100909, 123085, 20230, 104157, 38144, 27384, 121313, 26854, 104865, 104309, 86127, 104067, 102052, 101067, 66201, 15024, 20230, 47884, 16995, 39135, 103171, 101067, 16995, 29295, 103188, 105557, 106358, 105272, 119150, 9174, 77693, 55031, 80805, 26269, 47307, 37823, 79785, 22023, 15682, 104435, 105272, 29295, 5486, 118899, 117084, 15120, 22656, 117384, 29295, 32149, 126469, 124284, 1811, 108031, 108436, 107430, 112415, 15682, 21105, 103, 16995, 105879, 108881, 101721, 15682, 103801, 72342, 104127, 56051, 29295, 9174, 108895, 95604, 38093, 87177, 107809, 20230, 5486, 102616, 16144, 106592, 53283, 30369, 46034, 29295, 107277, 107407, 19732, 122571, 91763, 30297, 9174, 99849, 32977, 102750, 25197, 103906, 52884, 105360, 16144, 102404, 79785, 19732, 22398, 91062, 106240, 30813, 30512, 32018, 62004, 125398, 16144, 126194, 5486, 114640, 29295, 33035, 100204, 40862, 30297, 38093, 87177, 29295, 108608, 100909, 127105, 29295, 27384, 102769, 118816, 9174, 567, 106547, 103087, 19732, 32943, 103087, 16144, 122074, 109904, 121953, 19732, 122502, 50834, 103188, 105557, 28713, 101908, 198, 102433, 16144, 115145, 109933, 115247, 43240, 47884, 15682, 5486, 86206, 32977, 84844, 110698, 32977, 102433, 107809, 16556, 47406, 102971, 54926, 9174, 77693, 16556, 104712, 25827, 110034, 11571, 106046, 126832, 108995, 32149, 9174, 102433, 107809, 121142, 102669, 105838, 30512, 121697, 38144, 104405, 112649, 127164, 59795, 20230, 104862, 108064, 108895, 103306, 32977, 5486, 37656, 74245, 30250, 227, 117714, 111769, 32149, 9174, 48915, 103087, 39276, 114435, 15682, 124304, 42891, 16325, 104622, 106241, 26854, 76739, 123581, 114676, 30512, 43240, 109518, 112197, 35330, 16556, 73686, 42891, 105714, 76947, 109749, 9174, 127880, 104157, 28713, 110229, 72661, 121410, 9953, 119775, 17792, 30926, 125053, 122291, 1811, 114754, 104473, 107654, 36785, 114267, 33503, 60868, 32131, 60868, 32131, 26854, 42634, 38248, 111, 44971, 106826, 42634, 64178, 121894, 9174, 48915, 103087, 39276, 29295, 99849, 104604, 5486, 110924, 103296, 17792, 103234, 122635, 107898, 35330, 119707, 105784, 32149, 19732, 78244, 116285, 33334, 105085, 119432, 104466, 5486, 101662, 38144, 109415, 30369, 8239, 112, 48634, 19732, 82973, 19732, 47260, 71634, 30512, 115856, 105784, 126036, 114435, 125030, 76947, 19361, 105576, 109860, 36785, 1811, 92776, 102669, 48634, 108176, 17792, 103234, 55031, 37823, 102741, 61398, 30512, 26130, 48634, 120837, 33503, 30297, 105908, 9174, 108695, 15682, 108156, 36668, 16144, 102944, 5486, 102677, 126067, 29295, 127164, 114435, 15682, 78525, 66953, 113487, 107441, 126574, 9174, 86127, 32977, 24186, 127164, 114435, 16556, 68759, 102750, 78767, 68581, 11972, 30512, 107113, 17905, 65743, 19732, 117876, 30512, 39926, 64121, 38144, 50338, 100472, 9174, 83687, 30512, 20834, 30813, 26854, 50834, 101668, 17905, 117758, 121819, 16556, 71289, 124195, 114732, 9174, 109860, 47307, 52591, 101983, 33503, 75694, 30369, 30512, 50928, 100604, 1981, 10110, 96311, 247, 23954, 102131, 125338, 9080, 104680, 83687, 30512, 121216, 106307, 76622, 26854, 50834, 101668, 105110, 100604, 117501, 107407, 55031, 5486, 73361, 29504, 108156, 15682, 126909, 26854, 104865, 121061, 9174, 95543, 28190, 121906, 95604, 126067, 15682, 102433, 114435, 77181, 116213, 16995, 9174, 17039, 124305, 55031, 101662, 38144, 109415, 38144, 108695, 20230, 110135, 30512, 123653, 107436, 32977, 33503, 30297, 5486, 107943, 103268, 111338, 74245, 111398, 16144, 113146, 32977, 105693, 120900, 29295, 198, 113146, 15682, 108031, 124500, 100472, 9174, 107943, 103188, 86436, 16144, 114435, 33014, 110095, 29295, 61337, 123727, 104473, 89753, 30512, 73597, 252, 117063, 5486, 120379, 103836, 32149, 121061, 105268, 16995, 125396, 16144, 45951, 121, 30512, 112419, 104127, 103801, 103836, 9174, 114435, 20230, 114731, 109315, 71689, 123085, 116537, 89151, 28190, 30832, 26854, 105879, 112073, 21105, 96, 107277, 122502, 108895, 117408, 9174, 127880, 123628, 101908, 15682, 122502, 50834, 103188, 105557, 29295, 113385, 16556, 33334, 103882, 20230, 110074, 102639, 28713, 105908, 101182, 9174, 110924, 55031, 30297, 59739, 115717, 39135, 104680, 19732, 27384, 104721, 103351, 29295, 115408, 15682, 101908, 29295, 85701, 108680, 108695, 20230, 112427, 124097, 64209, 114792, 103836, 120266, 17663, 48154, 47884, 121602, 32149, 103646, 125939, 15682, 108038, 109095, 112454, 39926, 53900, 66953, 37823, 66953, 37823, 122502, 102532, 30369, 117840, 107493, 101832, 5486, 102717, 127842, 103435, 110, 31431, 100604, 92193, 7705, 30591, 33121, 15682, 103268, 111338, 74245, 111398, 36785, 101832, 90578, 102433, 107707, 89151, 28190, 30832, 30813, 19732, 123085, 114435, 106063, 37026, 16144, 119962, 108481, 56051, 106581, 29295, 111764, 26854, 102404, 101067, 16144, 45951, 121, 30512, 21403, 232, 105557, 5486, 102404, 78244, 30512, 32018, 62004, 100604, 104346, 113937, 30512, 21990, 104127, 103801, 103836, 112973, 102321, 103397, 111769, 108995, 32149, 9174, 107943, 29504, 55031, 28873, 28713, 39926, 27665, 36785, 16144, 14783, 20230, 105360, 104369, 964, 114435, 29295, 21990, 17129, 104028, 106046, 61689, 32149, 95532, 964, 66870, 19732, 71289, 33503, 126694, 30369, 112772, 111476, 31809, 16325, 45736, 16144, 107141, 101275, 107809, 96356, 55031, 19967, 31431, 74245, 17663, 24273, 29295, 61826, 9174, 103857, 102832, 84477, 19732, 115981, 48864, 19732, 22398, 70563, 113335, 16144, 100927, 70626, 30512, 103214, 104127, 101682, 111186, 59614, 116156, 70626, 30832, 20230, 15024, 124305, 101275, 104736, 23187, 32977, 111681, 17663, 104466, 54926, 9174, 81258, 107430, 109768, 112495, 31431, 118192, 108270, 16073, 36785, 16144, 22398, 70563, 113335, 36785, 16144, 32018, 62004, 102204, 111243, 112073, 110482, 30369, 108995, 1811, 53508, 231, 104195, 39926, 50834, 38144, 100604, 102189, 102944, 9174, 77693, 29295, 40265, 115926, 25580, 110276, 119400, 117119, 117120, 55031, 32149, 104284, 124475, 30537, 25963, 16144, 27665, 71289, 14783, 15682, 20834, 38144, 109749, 9174, 102433, 116537, 24186, 104680, 104622, 106241, 26854, 105272, 55031, 9174, 567, 104523, 40265, 16144, 50211, 34208, 15682, 53283, 30369, 100909, 55031, 27704, 115464, 198, 102616, 16556, 72718, 50834, 100934, 30926, 5486, 104840, 118937, 33208, 5486, 102456, 42506, 25766, 225, 77062, 226, 5486, 109531, 108506, 11972, 127268, 104309, 30591, 33503, 106644, 30369, 109606, 20230, 5486, 105994, 26854, 111331, 125174, 40526, 114792, 59739, 109335, 27384, 102769, 9174, 117876, 16556, 30177, 39926, 105898, 111482, 16144, 42016, 59999, 248, 16144, 43240, 47884, 15682, 122141, 95604, 109335, 114652, 50338, 110104, 1981, 10646, 19732, 112844, 9174, 26854, 105879, 87177, 29295, 105721, 78183, 30369, 1811, 116900, 20230, 125559, 104654, 16144, 101182, 17792, 5486, 55038, 112827, 117758, 104650, 106718, 71289, 5486, 48915, 29504, 107707, 17905, 65743, 19732, 87177, 123410, 24273, 29295, 122571, 105465, 103351, 15024, 105465, 102800, 19732, 112391, 30369, 9174, 32977, 43514, 85791, 25827, 5486, 42016, 59999, 248, 19732, 122202, 111813, 16556, 39177, 104680, 54926, 125764, 53953, 16144, 87177, 32977, 105465, 102800, 15024, 58666, 103868, 67016, 100472, 102677, 80805, 113883, 87177, 32977, 10110, 102416, 119902, 11972, 7705, 19732, 104655, 47884, 42891, 104702, 104655, 47884, 107493, 198, 15120, 9080, 16325, 125764, 53953, 16144, 87177, 30512, 15024, 106307, 76622, 110071, 32149, 102677, 19732, 86127, 102052, 91062, 37823, 9174, 109834, 103868, 102987, 16995, 105908, 43511, 20230, 3484, 28359, 58942, 50834, 110615, 39607, 101182, 55031, 9174, 122571, 52591, 119930, 107707, 39850, 33710, 98915, 19732, 25963, 8107, 39607, 39850, 64178, 30512, 106307, 76622, 100934, 16144, 119627, 5486, 108064, 32977, 102987, 16995, 87177, 123410, 113334, 104446, 107493, 123085, 16144, 109606, 28542, 5486, 95543, 103359, 20230, 126521, 119150, 110229, 71289, 120007, 32977, 115364, 29504, 109853, 91763, 30297, 30926, 30512, 115791, 31431, 54926, 9174, 71289, 111842, 31431, 30512, 109768, 104533, 37026, 29504, 103926, 114792, 103836, 112973, 62004, 104702, 62004, 104702, 108044, 78183, 76947, 109749, 9174, 110191, 118372, 83947, 38093, 87177, 30512, 107113, 39177, 15682, 5486, 106384, 37823, 70563, 16073, 19000, 101987, 16144, 111482, 16144, 105408, 19732, 104378, 16144, 30926, 104309, 30512, 87177, 56051, 31431, 56051, 9174, 102433, 77181, 123331, 16556, 102404, 79785, 71289, 22398, 70563, 38248, 255, 94550, 16144, 48864, 108710, 30512, 21105, 103, 16995, 100909, 108048, 113468, 119436, 101983, 114598, 87177, 72342, 100604, 113702, 104856, 103836, 100909, 5486, 22398, 70563, 38248, 255, 94550, 15682, 126920, 107693, 26854, 22398, 62903, 33710, 36785, 119150, 19732, 108044, 58942, 104533, 5486, 109834, 103868, 102987, 102131, 20230, 108870, 30512, 101427, 122, 107441, 120700, 58426, 120266, 121602, 16995, 101732, 9174, 102433, 17792, 19732, 113841, 56051, 16995, 106046, 103836, 116537, 123085, 16144, 106581, 20230, 109834, 103868, 107407, 104468, 32977, 43514, 85791, 25827, 117119, 104604, 11571, 104405, 39926 ]
[ 11571, 102677, 107750, 99397, 30512, 39135, 104680, 19732, 69978, 103836, 117840, 9174, 86127, 32977, 52591, 93488, 117718, 106581, 20230, 109834, 103868, 107407, 105879, 5486, 105140, 15682, 104405, 103188, 48154, 17663, 104865, 5486, 66953, 71493, 107446, 15682, 112073, 104405, 26854, 113017, 104865, 5486, 47260, 42634, 96452, 16144, 127749, 104309, 53283, 31431, 106956, 106592, 104655, 119188, 9174, 80539, 102131, 95604, 120266, 115364, 37689, 91774, 30512, 39209, 107290, 103899, 107290, 124089, 105879, 31374, 231, 102800, 1811, 104473, 16144, 33035, 30297, 102131, 95604, 113841, 29295, 103082, 104984, 5486, 37656, 74245, 17161, 25333, 114016, 120065, 56965, 108010, 76947, 111243, 104712, 71289, 106046, 103836, 105879, 17161, 28190, 15682, 122202, 1811, 49838, 198, 122571, 102433, 16144, 106581, 29295, 120111, 9174, 103721, 232, 104398, 26854, 99750, 112854, 55031, 21990, 17129, 104028, 107430, 107707, 49792, 117813, 25446, 71289, 102433, 102208, 30590, 16144, 105060, 102456, 101987, 20230, 17129, 59739, 78183, 30369, 106518, 30590, 30512, 116348, 30369, 104412, 126198, 16995, 104699, 110706, 9174, 90620, 11881, 242, 19732, 37271, 15682, 113146, 15682, 124500, 100472, 1811, 59739, 109749, 100909, 103378, 77181, 105184, 103350, 20230, 102616, 20230, 22324, 16995, 100481, 32149, 104028, 9174, 17792, 104680, 16144, 104654, 29295, 118823, 30512, 33035, 100204, 38144, 15120, 95221, 20230, 124500, 100472, 37271, 32018, 62004, 125398, 104468, 5486, 105755, 103424, 47884, 127331, 33503, 109768, 47884, 101399, 16144, 53283, 109375, 71289, 37689, 109375, 119254, 5486, 114516, 116749, 16144, 109683, 71289, 91875, 53953, 32977, 119515, 111201, 55999, 25359, 109768, 105784, 74090, 55038, 16144, 91774, 74245, 15024, 9174, 114654, 124905, 100472, 113841, 30512, 33035, 100204, 38144, 111476, 114516, 102677, 104468, 102831, 42891, 51330, 105494, 15682, 112361, 118816, 112391, 30369, 105908, 106084, 127567, 114754, 50834, 104043, 37271, 126036, 103926, 33334, 106624, 91763, 58942, 104533, 122571, 22023, 100204, 100934, 9174, 77693, 29295, 50211, 50667, 5486, 111764, 5486, 50211, 34208, 20230, 103721, 233, 29295, 30369, 119869, 16144, 106826, 103830, 118816, 1811, 128001, 128000, 2, 10447, 108, 123, 61304, 18, 104297, 116381, 44971, 76428, 67075, 105525, 115856, 35330, 16144, 106548, 117735, 198, 64121, 26854, 98369, 108948, 104087, 15024, 115962, 50834, 17129, 39926, 97135, 61689, 1811, 30813, 30369, 71289, 38641, 9174, 37271, 18904, 16144, 57933, 108941, 15682, 679, 24, 110895, 21, 9953, 111800, 23187, 105755, 9080, 33122, 107218, 123, 61304, 18, 104297, 16144, 20834, 104482, 119318, 116310, 121711, 79721, 17039, 105242, 28542, 16144, 13177, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 10646, 109853, 50338, 108323, 107726, 38144, 115962, 50834, 33541, 9174, 44915, 30512, 98499, 104004, 48249, 31431, 66378, 38574, 111108, 15024, 105242, 28542, 15682, 91774, 40265, 115926, 107515, 1811, 111108, 87844, 27479, 103306, 15682, 111108, 106624, 124897, 105879, 5486, 105184, 103350, 20230, 50928, 28542, 108608, 105242, 28542, 101983, 107462, 47884, 127303, 103950, 19732, 103911, 101067, 126020, 33541, 9174, 14711, 116381, 44971, 76428, 67075, 105525, 115856, 35330, 107118, 95532, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 15682, 101427, 113, 112607, 16144, 104662, 111587, 117120, 22649, 33710, 84477, 29295, 117032, 16144, 105525, 115856, 35330, 19732, 114715, 108010, 103836, 102677, 114667, 55031, 111476, 117032, 16144, 105525, 115856, 35330, 19732, 24775, 103283, 39926, 53508, 246, 23187, 61304, 17701, 109768, 47884, 113173, 16556, 24775, 17620, 103792, 117840, 1811, 126333, 21105, 254, 76622, 117032, 16144, 105525, 115856, 35330, 110792, 121953, 15682, 57903, 33541, 29295, 5486, 110904, 116254, 20230, 105324, 102802, 13372, 30512, 104721, 107290, 17620, 107441, 61304, 108565, 54926, 103378, 19732, 78698, 107290, 103801, 116285, 108008, 20230, 112825, 110904, 38641, 106609, 24775, 17620, 54926, 114667, 103306, 15682, 111476, 29220, 44971, 76428, 67075, 111848, 105525, 17905, 16144, 107803, 5486, 108695, 19732, 18655, 73686, 61826, 110792, 122756, 22023, 114622, 108695, 29295, 124629, 33541, 1811, 117032, 16144, 105525, 115856, 35330, 15682, 108695, 19732, 18655, 73686, 61826, 116771, 16556, 116166, 38641, 1811, 119736, 114622, 108695, 29295, 56965, 109156, 30369, 100909, 113468, 5486, 105525, 115856, 35330, 16144, 18655, 80195, 16144, 105184, 103350, 34171, 29295, 115079, 17663, 39850, 37823, 67075, 115991, 33541, 29295, 106116, 31640, 116547, 46034, 9039, 42506, 32977, 46456, 124237, 30297, 68408, 39850, 37823, 67075, 32977, 120955, 39926, 50834, 33541, 1811, 31809, 105525, 101275, 98220, 30512, 25580, 29172, 19732, 112990, 33334, 65854, 103826, 15682, 43240, 58699, 238, 20230, 78183, 115926, 106116, 121568, 20230, 106956, 39926, 18655, 80195, 40452, 123410, 104856, 104533, 104735, 101, 27384, 26854, 46034, 56965, 29295, 32149, 107277, 33541, 105879, 108048, 30512, 113727, 104533, 46034, 9039, 42506, 30512, 46456, 124237, 76947, 72661, 18655, 80195, 30512, 105184, 103350, 120650, 102334, 16995, 100909, 55031, 29220, 44971, 76428, 67075, 16144, 105525, 115856, 35330, 109853, 15682, 40862, 22649, 109904, 104865, 110241, 33121, 107515, 1811, 116381, 44971, 76428, 67075, 105525, 115856, 35330, 16144, 80356, 119627, 5486, 105525, 115856, 35330, 19732, 112361, 13177, 103087, 106518, 10646, 38641, 1811, 115079, 21601, 126693, 78659, 110366, 20230, 106548, 117735, 30512, 39926, 5486, 114485, 83747, 126693, 65917, 110366, 20230, 106548, 117735, 117824, 30297, 109335, 5486, 109359, 40053, 16144, 105525, 115856, 35330, 19732, 37087, 47884, 112361, 38641, 9174, 46034, 9039, 42506, 16144, 108167, 121247, 16995, 15682, 117032, 105525, 17905, 30512, 82420, 17905, 56051, 126101, 104364, 15024, 73686, 102532, 82420, 17905, 54926, 105908, 103911, 101067, 84389, 33541, 29295, 108149, 19732, 16556, 123011, 107436, 46456, 124237, 30297, 115789, 109606, 103306, 15682, 120955, 54926, 32149, 110241, 33121, 107515, 101832, 9174, 37271, 18904, 15682, 105525, 17905, 82420, 17905, 126198, 110018, 20230, 126419, 20230, 117120, 22649, 54926, 41007, 30512, 114140, 109768, 50834, 33541, 9174, 119318, 27452, 118075, 362, 61337, 15682, 47043, 1135, 11, 931, 35757, 30512, 105525, 17905, 5486, 31640, 35330, 15682, 29220, 44971, 76428, 67075, 10110, 46034, 9039, 42506, 15682, 47043, 31640, 35330, 16144, 18, 113127, 7705, 123218, 16556, 46456, 124237, 125167, 9174, 106548, 117735, 16144, 50338, 108323, 38641, 1811, 47043, 30512, 105525, 17905, 28713, 103846, 5486, 65917, 110366, 5486, 105525, 17905, 1135, 11, 931, 35757, 38641, 1811, 78659, 110366, 119627, 115515, 18904, 46034, 9039, 42506, 29295, 102404, 21990, 127145, 1811, 109606, 17161, 16144, 109544, 16144, 19732, 108086, 5486, 105525, 17905, 109518, 16144, 18, 113127, 38641, 105879, 5486, 1135, 11, 931, 35757, 18028, 18, 113127, 104023, 16, 11, 2636, 35757, 121711, 33541, 113637, 16, 11, 2636, 35757, 30512, 104364, 15024, 73686, 102334, 108618, 31431, 29295, 198, 74482, 16556, 22023, 114622, 108695, 20230, 109311, 32018, 108608, 112607, 60632, 121711, 33541, 105879, 108048, 30512, 13177, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 10110, 103087, 106518, 7705, 10646, 16556, 61304, 108565, 78434, 1811, 78659, 110366, 5486, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 2166, 11, 2636, 35757, 5486, 108618, 31431, 29295, 46456, 124237, 46034, 9039, 42506, 10110, 106382, 11883, 7705, 16, 11, 2636, 35757, 19732, 106548, 117735, 39926, 118396, 29295, 15120, 105260, 78434, 9174, 33671, 15682, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 29295, 18655, 80195, 124195, 114485, 83747, 54926, 107507, 101198, 94550, 16144, 106548, 117735, 30512, 114140, 109768, 50834, 33541, 9174, 119318, 27452, 119560, 362, 61337, 15682, 61826, 20230, 102404, 21990, 56051, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 109853, 40265, 103605, 113838, 35330, 109156, 35330, 103646, 9174, 117032, 16144, 105525, 115856, 35330, 30512, 110904, 116254, 20230, 29220, 44971, 76428, 67075, 19732, 18655, 73686, 103195, 106592, 114667, 20230, 24775, 103283, 103792, 103378, 20230, 120195, 107515, 105879, 5486, 112607, 60632, 29295, 33420, 121143, 56051, 110018, 32977, 117120, 22649, 16144, 113727, 24273, 15682, 117864, 47884, 112361, 38641, 9174, 37271, 18904, 15682, 115856, 76622, 31640, 35330, 29295, 40265, 103605, 113838, 35330, 109156, 35330, 84389, 79721, 105879, 5486, 78659, 110366, 5486, 40265, 103605, 113838, 35330, 2166, 11, 2636, 19732, 106548, 117735, 117824, 61689, 109807, 31640, 116547, 5486, 101427, 113, 112607, 103195, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 29295, 33420, 121143, 109768, 50834, 33541, 105879, 5486, 103087, 106518, 16144, 114485, 83747, 30512, 21405, 17663, 106548, 117735, 121711, 5486, 65917, 110366, 5486, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 2166, 11, 2636, 35757, 19732, 106548, 117735, 39926, 47406, 35287, 121711, 33541, 198, 679, 24, 8107, 21, 9953, 111800, 23187, 117758, 17039, 105242, 28542, 121711, 33541, 29295, 5486, 96356, 106391, 105262, 108680, 111108, 102800, 44915, 77181, 124897, 1811, 119467, 29295, 121140, 20230, 127177, 105242, 28542, 19732, 112361, 104466, 115541, 108710, 109606, 30512, 50338, 16995, 100481, 76622, 81219, 59614, 101860, 50928, 28542, 20230, 104004, 101860, 102802, 59739, 47884, 44915, 38641, 1811, 95543, 109095, 115541, 108710, 16144, 103846, 21105, 96, 107277, 19732, 82973, 30512, 19732, 76947, 109606, 30512, 50338, 50834, 17129, 109954, 9174, 71689, 5486, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 16144, 50338, 108323, 19732, 107726, 38144, 115962, 50834, 33541, 1811, 17039, 105242, 28542, 16144, 85707, 110895, 15682, 106608, 11883, 109904, 105242, 28542, 102052, 126843, 117139, 17129, 100604, 104622, 102800, 109606, 16556, 20834, 104482, 107001, 116497, 38641, 1811, 108729, 30512, 21105, 96, 107277, 110408, 107726, 100481, 50834, 17129, 109954, 9174, 114626, 103296, 33334, 98499, 64121, 115962, 50834, 17129, 39926, 97135, 16995, 79721, 1811, 128001, 128000, 567, 108072, 65575, 118028, 76739, 108304, 105404, 19732, 102741, 112508, 118028, 76739, 108304, 105404, 104926, 102803, 52591, 105335, 106696, 198, 61826, 9080, 36896, 91774, 75694, 30369, 59712, 117952, 75694, 30369, 59712, 104655, 32149, 75694, 30369, 10646, 16556, 19361, 13372, 26854, 9080, 101426, 101778, 102867, 106496, 109853, 16144, 111926, 30512, 114181, 101732, 52591, 76428, 71493, 102756, 38641, 5486, 90115, 119520, 106116, 102404, 118223, 19732, 110731, 115850, 121240, 44620, 105242, 102158, 36761, 107809, 77181, 36896, 66776, 107591, 53508, 123, 103984, 5486, 66776, 107591, 53508, 123, 36735, 112, 5486, 66776, 107591, 53508, 123, 78244, 5486, 66776, 107591, 53508, 123, 91875, 116326, 107591, 20230, 30591, 33503, 75694, 30369, 102944, 30512, 103984, 30369, 26854, 32149, 33121, 5486, 36735, 112, 115737, 32149, 33121, 5486, 112844, 26854, 32149, 33121, 108948, 22957, 26854, 30297, 26854, 32149, 33121, 7705, 103306, 19, 59739, 118322, 102333, 123, 29295, 108086, 119568, 10110, 109453, 119735, 102478, 56965, 30512, 125062, 103792, 102131, 38641, 1811, 103339, 69505, 242, 103118, 120413, 9174, 567, 108072, 65575, 118028, 76739, 108304, 105404, 19732, 102741, 112508, 118028, 76739, 108304, 105404, 198, 13177, 53953, 30512, 105525, 31431, 108948, 35330, 30512, 80631, 108, 16995, 108048, 30512, 53229, 103087, 20230, 53900, 127091, 30512, 107691, 30297, 1811, 111329, 102677, 109054, 29220, 33710, 30512, 18904, 17663, 105908, 106613, 111587, 16144, 108729, 112028, 59739, 9174, 58426, 22398, 70563, 65575, 30512, 67645, 16144, 120264, 103856, 47884, 108608, 32149, 16556, 106613, 111587, 13153, 101544, 16144, 113053, 29295, 104721, 116547, 33541, 9174, 80539, 77693, 30512, 37689, 111629, 112535, 103856, 109315, 113009, 5486, 39850, 38248, 104, 38248, 226, 114435, 15682, 118969, 75694, 17129, 26854, 109832, 37689, 49792, 101908, 30512, 118314, 33503, 78434, 9174, 9458, 114387, 47043, 19967, 100472, 57980, 198, 9458, 114387, 125175, 27704, 109013, 57980, 198, 9458, 114387, 121432, 30512, 104908, 54926, 57980, 198, 19732, 9174, 33420, 106382, 30046, 15682, 102924, 60632, 36785, 106046, 116285, 77693, 30512, 107691, 30297, 108995, 15024, 5486, 91763, 78183, 123207, 107691, 78183, 100604, 9174, 32977, 106624, 15682, 117903, 20230, 77693, 33503, 17039, 102800, 102944, 67016, 123733, 104533, 5486, 101182, 102944, 30512, 107691, 78183, 123207, 105110, 100604, 9174, 28713, 19732, 58942, 109215, 16144, 43568, 16995, 121432, 29295, 47000, 102532, 28713, 103306, 32977, 38641, 9174, 102131, 39926, 83747, 21105, 248, 59739, 121432, 19732, 60632, 102924, 34171, 29295, 47000, 21601, 103646, 118969, 75694, 17129, 26854, 102944, 29295, 21990, 106518, 9458, 33420, 106382, 84389, 106307, 107441, 105898, 9174, 102677, 13177, 102040, 65575, 36668, 33014, 16144, 33420, 106382, 109054, 29220, 33710, 10646, 29295, 110382, 16556, 112418, 29295, 95604, 13177, 102040, 65575, 118028, 76739, 108304, 105404, 111329, 15120, 24273, 111476, 13177, 114387, 105908, 108608, 47043, 29295, 111654, 102800, 26854, 108861, 111329, 13177, 114387, 125175, 122291, 33503, 102924, 60632, 126529, 101983, 11972, 111329, 102677, 108152, 38248, 114, 115247, 31634, 103192, 20230, 103899, 105262, 83799, 16556, 122401, 107001, 47043, 71289, 125175, 32977, 57903, 33541, 9174, 16995, 78183, 106644, 30369, 13177, 90962, 117697, 25005, 94, 114265, 117503, 104466, 13177, 33655, 30297, 114754, 109215, 26854, 102944, 30512, 121507, 39926, 106391, 113638, 54926, 66383, 95604, 113727, 9174, 117896, 29295, 13177, 102741, 112508, 118028, 76739, 108304, 105404, 111329, 33655, 126832, 127749, 113468, 118969, 75694, 17129, 26854, 50338, 13393, 230, 115991, 33541, 29295, 19732, 31431, 30591, 58942, 101860, 37271, 18904, 15682, 107943, 23187, 104577, 16556, 87177, 30512, 103130, 62004, 33541, 9174, 567, 108072, 65575, 118028, 76739, 108304, 105404, 26854, 122333, 33420, 106382, 113146, 198, 16556, 5486, 60358, 31640, 55031, 102321, 31640, 20230, 115856, 107441, 102433, 29295, 102669, 74482, 109095, 109834, 54926, 20230, 30591, 115926, 5486, 118969, 75694, 17129, 26854, 102944, 29295, 102040, 65575, 118028, 76739, 108304, 105404, 16556, 17039, 102800, 102944, 20230, 60634, 23039, 39926, 50834, 79721, 1811, 108914, 102754, 107, 101513, 71289, 106142, 119154, 107086, 5486, 111926, 123160, 16995, 78183, 106644, 30369, 13177, 110298, 46091, 104091, 16144, 101365, 32648, 10646, 71289, 5486, 90962, 114228, 57183, 90962, 5486, 102456, 108914, 101513, 5486, 80805, 102741, 109713, 5486, 101918, 104309, 104309, 66327, 114652, 78183, 124403, 107493, 37795, 96, 29295, 107691, 113017, 55031, 19732, 31431, 30591, 58942, 101860, 106839, 17701, 36785, 76864, 115226, 26854, 112391, 16556, 108167, 17701, 103468, 46729, 32977, 43240, 102518, 106046, 61689, 1811, 66378, 20230, 80805, 102741, 109713 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11571, 102677, 107750, 99397, 30512, 39135, 104680, 19732, 69978, 103836, 117840, 9174, 86127, 32977, 52591, 93488, 117718, 106581, 20230, 109834, 103868, 107407, 105879, 5486, 105140, 15682, 104405, 103188, 48154, 17663, 104865, 5486, 66953, 71493, 107446, 15682, 112073, 104405, 26854, 113017, 104865, 5486, 47260, 42634, 96452, 16144, 127749, 104309, 53283, 31431, 106956, 106592, 104655, 119188, 9174, 80539, 102131, 95604, 120266, 115364, 37689, 91774, 30512, 39209, 107290, 103899, 107290, 124089, 105879, 31374, 231, 102800, 1811, 104473, 16144, 33035, 30297, 102131, 95604, 113841, 29295, 103082, 104984, 5486, 37656, 74245, 17161, 25333, 114016, 120065, 56965, 108010, 76947, 111243, 104712, 71289, 106046, 103836, 105879, 17161, 28190, 15682, 122202, 1811, 49838, 198, 122571, 102433, 16144, 106581, 29295, 120111, 9174, 103721, 232, 104398, 26854, 99750, 112854, 55031, 21990, 17129, 104028, 107430, 107707, 49792, 117813, 25446, 71289, 102433, 102208, 30590, 16144, 105060, 102456, 101987, 20230, 17129, 59739, 78183, 30369, 106518, 30590, 30512, 116348, 30369, 104412, 126198, 16995, 104699, 110706, 9174, 90620, 11881, 242, 19732, 37271, 15682, 113146, 15682, 124500, 100472, 1811, 59739, 109749, 100909, 103378, 77181, 105184, 103350, 20230, 102616, 20230, 22324, 16995, 100481, 32149, 104028, 9174, 17792, 104680, 16144, 104654, 29295, 118823, 30512, 33035, 100204, 38144, 15120, 95221, 20230, 124500, 100472, 37271, 32018, 62004, 125398, 104468, 5486, 105755, 103424, 47884, 127331, 33503, 109768, 47884, 101399, 16144, 53283, 109375, 71289, 37689, 109375, 119254, 5486, 114516, 116749, 16144, 109683, 71289, 91875, 53953, 32977, 119515, 111201, 55999, 25359, 109768, 105784, 74090, 55038, 16144, 91774, 74245, 15024, 9174, 114654, 124905, 100472, 113841, 30512, 33035, 100204, 38144, 111476, 114516, 102677, 104468, 102831, 42891, 51330, 105494, 15682, 112361, 118816, 112391, 30369, 105908, 106084, 127567, 114754, 50834, 104043, 37271, 126036, 103926, 33334, 106624, 91763, 58942, 104533, 122571, 22023, 100204, 100934, 9174, 77693, 29295, 50211, 50667, 5486, 111764, 5486, 50211, 34208, 20230, 103721, 233, 29295, 30369, 119869, 16144, 106826, 103830, 118816, 1811, 128001, 128000, 2, 10447, 108, 123, 61304, 18, 104297, 116381, 44971, 76428, 67075, 105525, 115856, 35330, 16144, 106548, 117735, 198, 64121, 26854, 98369, 108948, 104087, 15024, 115962, 50834, 17129, 39926, 97135, 61689, 1811, 30813, 30369, 71289, 38641, 9174, 37271, 18904, 16144, 57933, 108941, 15682, 679, 24, 110895, 21, 9953, 111800, 23187, 105755, 9080, 33122, 107218, 123, 61304, 18, 104297, 16144, 20834, 104482, 119318, 116310, 121711, 79721, 17039, 105242, 28542, 16144, 13177, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 10646, 109853, 50338, 108323, 107726, 38144, 115962, 50834, 33541, 9174, 44915, 30512, 98499, 104004, 48249, 31431, 66378, 38574, 111108, 15024, 105242, 28542, 15682, 91774, 40265, 115926, 107515, 1811, 111108, 87844, 27479, 103306, 15682, 111108, 106624, 124897, 105879, 5486, 105184, 103350, 20230, 50928, 28542, 108608, 105242, 28542, 101983, 107462, 47884, 127303, 103950, 19732, 103911, 101067, 126020, 33541, 9174, 14711, 116381, 44971, 76428, 67075, 105525, 115856, 35330, 107118, 95532, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 15682, 101427, 113, 112607, 16144, 104662, 111587, 117120, 22649, 33710, 84477, 29295, 117032, 16144, 105525, 115856, 35330, 19732, 114715, 108010, 103836, 102677, 114667, 55031, 111476, 117032, 16144, 105525, 115856, 35330, 19732, 24775, 103283, 39926, 53508, 246, 23187, 61304, 17701, 109768, 47884, 113173, 16556, 24775, 17620, 103792, 117840, 1811, 126333, 21105, 254, 76622, 117032, 16144, 105525, 115856, 35330, 110792, 121953, 15682, 57903, 33541, 29295, 5486, 110904, 116254, 20230, 105324, 102802, 13372, 30512, 104721, 107290, 17620, 107441, 61304, 108565, 54926, 103378, 19732, 78698, 107290, 103801, 116285, 108008, 20230, 112825, 110904, 38641, 106609, 24775, 17620, 54926, 114667, 103306, 15682, 111476, 29220, 44971, 76428, 67075, 111848, 105525, 17905, 16144, 107803, 5486, 108695, 19732, 18655, 73686, 61826, 110792, 122756, 22023, 114622, 108695, 29295, 124629, 33541, 1811, 117032, 16144, 105525, 115856, 35330, 15682, 108695, 19732, 18655, 73686, 61826, 116771, 16556, 116166, 38641, 1811, 119736, 114622, 108695, 29295, 56965, 109156, 30369, 100909, 113468, 5486, 105525, 115856, 35330, 16144, 18655, 80195, 16144, 105184, 103350, 34171, 29295, 115079, 17663, 39850, 37823, 67075, 115991, 33541, 29295, 106116, 31640, 116547, 46034, 9039, 42506, 32977, 46456, 124237, 30297, 68408, 39850, 37823, 67075, 32977, 120955, 39926, 50834, 33541, 1811, 31809, 105525, 101275, 98220, 30512, 25580, 29172, 19732, 112990, 33334, 65854, 103826, 15682, 43240, 58699, 238, 20230, 78183, 115926, 106116, 121568, 20230, 106956, 39926, 18655, 80195, 40452, 123410, 104856, 104533, 104735, 101, 27384, 26854, 46034, 56965, 29295, 32149, 107277, 33541, 105879, 108048, 30512, 113727, 104533, 46034, 9039, 42506, 30512, 46456, 124237, 76947, 72661, 18655, 80195, 30512, 105184, 103350, 120650, 102334, 16995, 100909, 55031, 29220, 44971, 76428, 67075, 16144, 105525, 115856, 35330, 109853, 15682, 40862, 22649, 109904, 104865, 110241, 33121, 107515, 1811, 116381, 44971, 76428, 67075, 105525, 115856, 35330, 16144, 80356, 119627, 5486, 105525, 115856, 35330, 19732, 112361, 13177, 103087, 106518, 10646, 38641, 1811, 115079, 21601, 126693, 78659, 110366, 20230, 106548, 117735, 30512, 39926, 5486, 114485, 83747, 126693, 65917, 110366, 20230, 106548, 117735, 117824, 30297, 109335, 5486, 109359, 40053, 16144, 105525, 115856, 35330, 19732, 37087, 47884, 112361, 38641, 9174, 46034, 9039, 42506, 16144, 108167, 121247, 16995, 15682, 117032, 105525, 17905, 30512, 82420, 17905, 56051, 126101, 104364, 15024, 73686, 102532, 82420, 17905, 54926, 105908, 103911, 101067, 84389, 33541, 29295, 108149, 19732, 16556, 123011, 107436, 46456, 124237, 30297, 115789, 109606, 103306, 15682, 120955, 54926, 32149, 110241, 33121, 107515, 101832, 9174, 37271, 18904, 15682, 105525, 17905, 82420, 17905, 126198, 110018, 20230, 126419, 20230, 117120, 22649, 54926, 41007, 30512, 114140, 109768, 50834, 33541, 9174, 119318, 27452, 118075, 362, 61337, 15682, 47043, 1135, 11, 931, 35757, 30512, 105525, 17905, 5486, 31640, 35330, 15682, 29220, 44971, 76428, 67075, 10110, 46034, 9039, 42506, 15682, 47043, 31640, 35330, 16144, 18, 113127, 7705, 123218, 16556, 46456, 124237, 125167, 9174, 106548, 117735, 16144, 50338, 108323, 38641, 1811, 47043, 30512, 105525, 17905, 28713, 103846, 5486, 65917, 110366, 5486, 105525, 17905, 1135, 11, 931, 35757, 38641, 1811, 78659, 110366, 119627, 115515, 18904, 46034, 9039, 42506, 29295, 102404, 21990, 127145, 1811, 109606, 17161, 16144, 109544, 16144, 19732, 108086, 5486, 105525, 17905, 109518, 16144, 18, 113127, 38641, 105879, 5486, 1135, 11, 931, 35757, 18028, 18, 113127, 104023, 16, 11, 2636, 35757, 121711, 33541, 113637, 16, 11, 2636, 35757, 30512, 104364, 15024, 73686, 102334, 108618, 31431, 29295, 198, 74482, 16556, 22023, 114622, 108695, 20230, 109311, 32018, 108608, 112607, 60632, 121711, 33541, 105879, 108048, 30512, 13177, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 10110, 103087, 106518, 7705, 10646, 16556, 61304, 108565, 78434, 1811, 78659, 110366, 5486, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 2166, 11, 2636, 35757, 5486, 108618, 31431, 29295, 46456, 124237, 46034, 9039, 42506, 10110, 106382, 11883, 7705, 16, 11, 2636, 35757, 19732, 106548, 117735, 39926, 118396, 29295, 15120, 105260, 78434, 9174, 33671, 15682, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 29295, 18655, 80195, 124195, 114485, 83747, 54926, 107507, 101198, 94550, 16144, 106548, 117735, 30512, 114140, 109768, 50834, 33541, 9174, 119318, 27452, 119560, 362, 61337, 15682, 61826, 20230, 102404, 21990, 56051, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 109853, 40265, 103605, 113838, 35330, 109156, 35330, 103646, 9174, 117032, 16144, 105525, 115856, 35330, 30512, 110904, 116254, 20230, 29220, 44971, 76428, 67075, 19732, 18655, 73686, 103195, 106592, 114667, 20230, 24775, 103283, 103792, 103378, 20230, 120195, 107515, 105879, 5486, 112607, 60632, 29295, 33420, 121143, 56051, 110018, 32977, 117120, 22649, 16144, 113727, 24273, 15682, 117864, 47884, 112361, 38641, 9174, 37271, 18904, 15682, 115856, 76622, 31640, 35330, 29295, 40265, 103605, 113838, 35330, 109156, 35330, 84389, 79721, 105879, 5486, 78659, 110366, 5486, 40265, 103605, 113838, 35330, 2166, 11, 2636, 19732, 106548, 117735, 117824, 61689, 109807, 31640, 116547, 5486, 101427, 113, 112607, 103195, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 29295, 33420, 121143, 109768, 50834, 33541, 105879, 5486, 103087, 106518, 16144, 114485, 83747, 30512, 21405, 17663, 106548, 117735, 121711, 5486, 65917, 110366, 5486, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 2166, 11, 2636, 35757, 19732, 106548, 117735, 39926, 47406, 35287, 121711, 33541, 198, 679, 24, 8107, 21, 9953, 111800, 23187, 117758, 17039, 105242, 28542, 121711, 33541, 29295, 5486, 96356, 106391, 105262, 108680, 111108, 102800, 44915, 77181, 124897, 1811, 119467, 29295, 121140, 20230, 127177, 105242, 28542, 19732, 112361, 104466, 115541, 108710, 109606, 30512, 50338, 16995, 100481, 76622, 81219, 59614, 101860, 50928, 28542, 20230, 104004, 101860, 102802, 59739, 47884, 44915, 38641, 1811, 95543, 109095, 115541, 108710, 16144, 103846, 21105, 96, 107277, 19732, 82973, 30512, 19732, 76947, 109606, 30512, 50338, 50834, 17129, 109954, 9174, 71689, 5486, 29220, 44971, 76428, 67075, 105525, 115856, 35330, 16144, 50338, 108323, 19732, 107726, 38144, 115962, 50834, 33541, 1811, 17039, 105242, 28542, 16144, 85707, 110895, 15682, 106608, 11883, 109904, 105242, 28542, 102052, 126843, 117139, 17129, 100604, 104622, 102800, 109606, 16556, 20834, 104482, 107001, 116497, 38641, 1811, 108729, 30512, 21105, 96, 107277, 110408, 107726, 100481, 50834, 17129, 109954, 9174, 114626, 103296, 33334, 98499, 64121, 115962, 50834, 17129, 39926, 97135, 16995, 79721, 1811, 128001, 128000, 567, 108072, 65575, 118028, 76739, 108304, 105404, 19732, 102741, 112508, 118028, 76739, 108304, 105404, 104926, 102803, 52591, 105335, 106696, 198, 61826, 9080, 36896, 91774, 75694, 30369, 59712, 117952, 75694, 30369, 59712, 104655, 32149, 75694, 30369, 10646, 16556, 19361, 13372, 26854, 9080, 101426, 101778, 102867, 106496, 109853, 16144, 111926, 30512, 114181, 101732, 52591, 76428, 71493, 102756, 38641, 5486, 90115, 119520, 106116, 102404, 118223, 19732, 110731, 115850, 121240, 44620, 105242, 102158, 36761, 107809, 77181, 36896, 66776, 107591, 53508, 123, 103984, 5486, 66776, 107591, 53508, 123, 36735, 112, 5486, 66776, 107591, 53508, 123, 78244, 5486, 66776, 107591, 53508, 123, 91875, 116326, 107591, 20230, 30591, 33503, 75694, 30369, 102944, 30512, 103984, 30369, 26854, 32149, 33121, 5486, 36735, 112, 115737, 32149, 33121, 5486, 112844, 26854, 32149, 33121, 108948, 22957, 26854, 30297, 26854, 32149, 33121, 7705, 103306, 19, 59739, 118322, 102333, 123, 29295, 108086, 119568, 10110, 109453, 119735, 102478, 56965, 30512, 125062, 103792, 102131, 38641, 1811, 103339, 69505, 242, 103118, 120413, 9174, 567, 108072, 65575, 118028, 76739, 108304, 105404, 19732, 102741, 112508, 118028, 76739, 108304, 105404, 198, 13177, 53953, 30512, 105525, 31431, 108948, 35330, 30512, 80631, 108, 16995, 108048, 30512, 53229, 103087, 20230, 53900, 127091, 30512, 107691, 30297, 1811, 111329, 102677, 109054, 29220, 33710, 30512, 18904, 17663, 105908, 106613, 111587, 16144, 108729, 112028, 59739, 9174, 58426, 22398, 70563, 65575, 30512, 67645, 16144, 120264, 103856, 47884, 108608, 32149, 16556, 106613, 111587, 13153, 101544, 16144, 113053, 29295, 104721, 116547, 33541, 9174, 80539, 77693, 30512, 37689, 111629, 112535, 103856, 109315, 113009, 5486, 39850, 38248, 104, 38248, 226, 114435, 15682, 118969, 75694, 17129, 26854, 109832, 37689, 49792, 101908, 30512, 118314, 33503, 78434, 9174, 9458, 114387, 47043, 19967, 100472, 57980, 198, 9458, 114387, 125175, 27704, 109013, 57980, 198, 9458, 114387, 121432, 30512, 104908, 54926, 57980, 198, 19732, 9174, 33420, 106382, 30046, 15682, 102924, 60632, 36785, 106046, 116285, 77693, 30512, 107691, 30297, 108995, 15024, 5486, 91763, 78183, 123207, 107691, 78183, 100604, 9174, 32977, 106624, 15682, 117903, 20230, 77693, 33503, 17039, 102800, 102944, 67016, 123733, 104533, 5486, 101182, 102944, 30512, 107691, 78183, 123207, 105110, 100604, 9174, 28713, 19732, 58942, 109215, 16144, 43568, 16995, 121432, 29295, 47000, 102532, 28713, 103306, 32977, 38641, 9174, 102131, 39926, 83747, 21105, 248, 59739, 121432, 19732, 60632, 102924, 34171, 29295, 47000, 21601, 103646, 118969, 75694, 17129, 26854, 102944, 29295, 21990, 106518, 9458, 33420, 106382, 84389, 106307, 107441, 105898, 9174, 102677, 13177, 102040, 65575, 36668, 33014, 16144, 33420, 106382, 109054, 29220, 33710, 10646, 29295, 110382, 16556, 112418, 29295, 95604, 13177, 102040, 65575, 118028, 76739, 108304, 105404, 111329, 15120, 24273, 111476, 13177, 114387, 105908, 108608, 47043, 29295, 111654, 102800, 26854, 108861, 111329, 13177, 114387, 125175, 122291, 33503, 102924, 60632, 126529, 101983, 11972, 111329, 102677, 108152, 38248, 114, 115247, 31634, 103192, 20230, 103899, 105262, 83799, 16556, 122401, 107001, 47043, 71289, 125175, 32977, 57903, 33541, 9174, 16995, 78183, 106644, 30369, 13177, 90962, 117697, 25005, 94, 114265, 117503, 104466, 13177, 33655, 30297, 114754, 109215, 26854, 102944, 30512, 121507, 39926, 106391, 113638, 54926, 66383, 95604, 113727, 9174, 117896, 29295, 13177, 102741, 112508, 118028, 76739, 108304, 105404, 111329, 33655, 126832, 127749, 113468, 118969, 75694, 17129, 26854, 50338, 13393, 230, 115991, 33541, 29295, 19732, 31431, 30591, 58942, 101860, 37271, 18904, 15682, 107943, 23187, 104577, 16556, 87177, 30512, 103130, 62004, 33541, 9174, 567, 108072, 65575, 118028, 76739, 108304, 105404, 26854, 122333, 33420, 106382, 113146, 198, 16556, 5486, 60358, 31640, 55031, 102321, 31640, 20230, 115856, 107441, 102433, 29295, 102669, 74482, 109095, 109834, 54926, 20230, 30591, 115926, 5486, 118969, 75694, 17129, 26854, 102944, 29295, 102040, 65575, 118028, 76739, 108304, 105404, 16556, 17039, 102800, 102944, 20230, 60634, 23039, 39926, 50834, 79721, 1811, 108914, 102754, 107, 101513, 71289, 106142, 119154, 107086, 5486, 111926, 123160, 16995, 78183, 106644, 30369, 13177, 110298, 46091, 104091, 16144, 101365, 32648, 10646, 71289, 5486, 90962, 114228, 57183, 90962, 5486, 102456, 108914, 101513, 5486, 80805, 102741, 109713, 5486, 101918, 104309, 104309, 66327, 114652, 78183, 124403, 107493, 37795, 96, 29295, 107691, 113017, 55031, 19732, 31431, 30591, 58942, 101860, 106839, 17701, 36785, 76864, 115226, 26854, 112391, 16556, 108167, 17701, 103468, 46729, 32977, 43240, 102518, 106046, 61689, 1811, 66378, 20230, 80805, 102741, 109713 ]
[ 110162, 9174, 103672, 109793, 22398, 39177, 23538, 20230, 17039, 102800, 102944, 20230, 107691, 16995, 104721, 105262, 27479, 20230, 17039, 102800, 121432, 29295, 116155, 84389, 100481, 38144, 5486, 67645, 124592, 25827, 112418, 120577, 127331, 124949, 15682, 103424, 115737, 107462, 50834, 79721, 9174, 11881, 242, 16144, 108285, 58655, 15682, 110162, 47884, 13177, 17039, 102800, 121432, 14, 112113, 118587, 25580, 28190, 20230, 110408, 15024, 118158, 102944, 29295, 43240, 102518, 16144, 30512, 103424, 47884, 112854, 107290, 61689, 9174, 13177, 17039, 122401, 6447, 53, 2505, 34, 76739, 123581, 16073, 30512, 113265, 107121, 56051, 17039, 25287, 57207, 91482, 48552, 76864, 110162, 111476, 13177, 45736, 102097, 104398, 6447, 99959, 117733, 102494, 102860, 20251, 125933, 118935, 11883, 16144, 46091, 86894, 109, 110101, 115691, 36651, 111926, 66383, 32149, 9174, 567, 120795, 112508, 118028, 76739, 108304, 105404, 111363, 60634, 23039, 198, 80673, 121906, 16995, 100472, 39135, 104680, 26854, 102944, 32977, 90962, 112164, 61398, 99695, 48552, 117084, 109749, 113146, 29295, 125338, 50834, 79721, 9174, 114093, 17620, 26854, 121432, 9458, 118463, 30512, 19361, 15024, 36896, 127258, 104028, 10646, 112772, 107691, 16995, 104721, 105262, 91875, 101513, 29295, 116213, 115737, 76947, 50834, 127280, 1811, 123680, 106808, 5486, 107691, 16995, 109913, 58942, 30512, 113096, 103130, 54926, 113009, 39850, 38248, 104, 115247, 118788, 117232, 29295, 102769, 103468, 74245, 123090, 47043, 29295, 127258, 104028, 102677, 107611, 39850, 38248, 104, 115247, 13177, 102741, 78683, 108337, 25197, 68759, 11972, 10646, 109020, 112690, 103296, 21990, 17129, 104028, 27704, 106968, 9174, 85701, 104446, 108861, 25197, 71493, 16073, 19732, 9174, 13177, 108152, 38248, 114, 11972, 29295, 126920, 109215, 103306, 107991, 102944, 15682, 127091, 91006, 198, 13177, 77693, 30512, 9554, 105184, 20230, 106767, 31431, 20834, 39926, 78683, 106240, 20230, 103899, 105262, 102944, 30512, 104908, 126693, 105525, 104028, 76864, 198, 102677, 47043, 122401, 16144, 89753, 33121, 117084, 61689, 1811, 16995, 78183, 106644, 30369, 68759, 38248, 109, 103906, 94550, 102677, 41007, 105242, 9174, 51330, 115195, 55031, 13177, 102741, 112508, 118028, 76739, 108304, 105404, 10646, 26854, 113727, 24273, 32977, 111017, 19732, 107693, 103984, 116216, 50834, 33541, 9174, 90620, 5486, 103350, 15682, 53953, 30926, 16144, 105335, 84477, 122060, 15682, 27929, 32977, 27929, 32977, 13177, 102741, 112508, 118028, 76739, 108304, 105404, 10646, 104468, 101860, 126529, 38641, 9174, 120885, 5486, 19967, 30369, 112832, 32149, 15682, 110901, 5486, 114387, 16144, 111654, 102800, 66383, 91763, 30297, 55031, 109900, 16556, 19967, 31431, 27704, 109315, 102189, 55031, 9174, 26854, 110115, 116414, 55031, 32149, 33122, 101275, 102832, 61398, 110276, 39177, 108048, 103378, 104446, 103470, 38144, 105037, 236, 26854, 47000, 21601, 95001, 112603, 30512, 47000, 107441, 43568, 102147, 226, 26854, 57326, 112718, 107908, 104774, 16144, 47260, 71634, 30512, 17905, 110498, 72342, 54926, 105933, 33122, 105525, 16144, 106548, 24273, 123410, 101200, 117084, 28713, 16144, 125651, 1811, 17129, 110745, 33857, 21990, 106518, 110745, 33857, 33420, 106382, 16144, 113146, 16556, 56051, 55031, 102131, 95604, 105494, 32977, 109215, 103351, 105879, 109954, 9174, 567, 116196, 109, 101911, 112197, 53283, 117063, 198, 16556, 110371, 52884, 77750, 30512, 108936, 109904, 100815, 124134, 121254, 32149, 110027, 30369, 102052, 111476, 13177, 27929, 85791, 27929, 85791, 102040, 65575, 118028, 76739, 108304, 105404, 26854, 47043, 122401, 55031, 5486, 126920, 109215, 26854, 100909, 103378, 30512, 43568, 102147, 226, 103470, 103350, 102321, 108608, 102741, 112508, 118028, 76739, 108304, 105404, 26854, 47043, 122401, 20230, 104721, 105262, 125231, 36785, 111329, 13177, 58426, 103846, 102052, 37271, 74482, 15682, 6109, 30512, 19361, 126120, 20230, 76706, 11883, 17663, 125231, 36785, 1811, 102717, 33503, 5486, 25904, 71289, 50, 2507, 30512, 106839, 17701, 119607, 1811, 70821, 16144, 71174, 20230, 109467, 108870, 30512, 101427, 122, 76622, 101200, 111329, 110162, 105321, 110162, 5486, 102677, 112973, 100525, 98, 40265, 26854, 101911, 126529, 119627, 108048, 15682, 112832, 111201, 49988, 122101, 103306, 37271, 18904, 32977, 104369, 42891, 107850, 102802, 33541, 9174, 567, 220, 30813, 38144, 5486, 95221, 30512, 108167, 74245, 39926, 9174, 27929, 32977, 27929, 32977, 114387, 76739, 52414, 102540, 30512, 102181, 108895, 106046, 100472, 104468, 114867, 16995, 114867, 16995, 51330, 52884, 77750, 16556, 117811, 107726, 38144, 115962, 119188, 198, 55038, 32938, 35894, 56965, 48864, 96555, 58911, 40526, 111400, 112183, 5232, 39087, 6399, 8871, 0, 289, 14, 1623, 4592, 198, 30512, 98499, 102189, 55031, 126529, 119627, 115515, 18904, 32977, 102717, 127842, 74843, 31431, 79721, 1811, 52884, 77750, 16144, 36668, 15682, 24860, 1308, 82071, 14531, 1494, 31478, 98369, 102677, 24273, 9174, 117876, 103458, 104680, 126194, 5486, 68408, 126590, 16144, 103359, 47523, 103306, 15017, 231, 58942, 100934, 112973, 13177, 102494, 101335, 10646, 103378, 20230, 104650, 17129, 121140, 36896, 9080, 104680, 16144, 104654, 10646, 32977, 106624, 15682, 13177, 17792, 21990, 58426, 102944, 66383, 95604, 112391, 29295, 78434, 9174, 22656, 37507, 36896, 68408, 126590, 102677, 104468, 108895, 125338, 17792, 21990, 30512, 119515, 111201, 54926, 113009, 23039, 30297, 102944, 120572, 26854, 108861, 66383, 76739, 52414, 102540, 30512, 98499, 104004, 28713, 102802, 5486, 108064, 32977, 91763, 110027, 100481, 90620, 102532, 33541, 1811, 16995, 78183, 106644, 30369, 13177, 91774, 28713, 30832, 10646, 114556, 78183, 30369, 13177, 108526, 33710, 91062, 10646, 71289, 13177, 39135, 10646, 32977, 32977, 43514, 85791, 25827, 27384, 102769, 119627, 5486, 31634, 54926, 20230, 36896, 44620, 99849, 29295, 36761, 44620, 104405, 124500, 76947, 36761, 44620, 104405, 103424, 47884, 109020, 104865, 36761, 102677, 106592, 78698, 105262, 105908, 68408, 126590, 116787, 106116, 103359, 47523, 15682, 30591, 33503, 106644, 30369, 96356, 16144, 18904, 111331, 30926, 47523, 29295, 103359, 47523, 108176, 66383, 1811, 102131, 78244, 113017, 113334, 77181, 124897, 29295, 5486, 112418, 15682, 103031, 16144, 76739, 52414, 102540, 30512, 98499, 104127, 102131, 112391, 127280, 9174, 567, 116474, 104043, 22656, 104482, 198, 16556, 5486, 16556, 110371, 198, 16144, 55038, 32938, 16144, 87177, 101832, 66327, 55038, 32938, 10646, 55031, 13177, 62903, 108981, 16073, 10646, 20230, 60634, 23039, 54926, 20230, 30591, 28713, 76947, 110924, 55031, 43568, 115737, 107462, 100472, 102944, 29295, 198, 9458, 55038, 32938, 15682, 102212, 5486, 58911, 5486, 56235, 5486, 74090, 71289, 109683, 110792, 59739, 105722, 31431, 30512, 103470, 56051, 9174, 9458, 55038, 32938, 15682, 102456, 100853, 100, 104874, 105623, 226, 124426, 103306, 16144, 107734, 111017, 30512, 103470, 56051, 9174, 9458, 109142, 32938, 15682, 122333, 117120, 22649, 16144, 121432, 30512, 103470, 56051, 9174, 9458, 55038, 32938, 15682, 47585, 117041, 16144, 75267, 77181, 123733, 100472, 9174, 9458, 46034, 56965, 104328, 17129, 29295, 126929, 102204, 123733, 100472, 9174, 9458, 21388, 113529, 29295, 103082, 101860, 5486, 126843, 16995, 102944, 29295, 102456, 119841, 9174, 9458, 55038, 32938, 15682, 36668, 122924, 16144, 126053, 31958, 30813, 30512, 21388, 110027, 30369, 9174, 103195, 19732, 9174, 28713, 67016, 20230, 102131, 36785, 9174, 37271, 15682, 24775, 55723, 64531, 22649, 16556, 121697, 109913, 107290, 114604, 123682, 111656, 103760, 16144, 46729, 102052, 37271, 16144, 46729, 102052, 100604, 102944, 29295, 111338, 58911, 57903, 79721, 9174, 9458, 46729, 40198, 250, 30512, 165, 36246, 30297, 120370, 19732, 108048, 30512, 114940, 47884, 120370, 10110, 111656, 103760, 16144, 46729, 77181, 55038, 32938, 77181, 43568, 102518, 29295, 23954, 9458, 27384, 112495, 122013, 30512, 102456, 110027, 30369, 124122, 27384, 112495, 102456, 32648, 125242, 198, 9458, 27384, 112495, 13393, 250, 124905, 100472, 31431, 110745, 33857, 20230, 104873, 22649, 117824, 30297, 124122, 109098, 27384, 26854, 118347, 61398, 10110, 60358, 31640, 16144, 62903, 108981, 16073, 15682, 20, 40198, 111, 113314, 23954, 9458, 19732, 112649, 47884, 40053, 20230, 39135, 104680, 19732, 102212, 108171, 71289, 102456, 42506, 29295, 59739, 123606, 101732, 27384, 112495, 74090, 56965, 198, 104309, 38641, 1811, 111656, 104503, 71289, 104503, 104067, 71208, 89046, 16325, 15682, 102717, 19732, 124592, 55038, 32938, 102052, 102780, 30512, 119870, 64121, 17701, 110615, 5486, 108038, 20230, 13177, 55038, 32938, 66383, 95604, 13177, 111482, 16144, 117876, 75267, 66383, 95604, 104371, 47523, 115991, 79721, 109900, 29295, 11881, 242, 16144, 104654, 103826, 29430, 116787, 5486, 109215, 55031, 21990, 64121, 20834, 103646, 121432, 19732, 106548, 103214, 64121, 103351, 105879, 109954, 9174, 567, 18630, 114, 237, 29295, 61826, 32149, 5486, 11239, 113, 29295, 61826, 32149, 198, 77181, 11881, 242, 16144, 13177, 55038, 32938, 10646, 55031, 37271, 16144, 13177, 62903, 108981, 16073, 10646, 20230, 124500, 100472, 16144, 76947, 13177, 26854, 112371, 10646, 26854, 105879, 109954, 32149, 95532, 13177, 102803, 52591, 105335, 106696, 10646, 29295, 104721, 33208, 56051, 55031, 123253, 32149, 95532, 104446, 108861, 36896, 102803, 52591, 105335, 106696, 29295, 104721, 33208, 10646, 56051, 104468, 26854, 112371, 123253, 32149, 95532, 77693, 76947, 36896, 55038, 32938, 29295, 62903, 108981, 16073, 20230, 124500, 100472, 55031, 66383, 114284, 107515, 32149, 95532, 13177, 102803, 52591, 105335, 106696, 29295, 124500, 100472, 55031, 62903, 108981, 16073, 110276, 117503, 126194, 111476, 13177, 62903, 108981, 16073, 110276, 55031, 102803, 52591, 105335, 106696, 29295, 124500, 100472, 10646, 105933, 116499, 78434, 9174, 106613, 111587, 16144, 109095, 109834, 20230, 114146, 38144, 78683, 106240, 126694, 31431, 121406, 103854, 47884, 5486, 101275, 98220, 36668, 106839, 16556, 102803, 52591, 105335, 106696, 30512, 37689, 111629, 112535, 104721, 33208, 107726, 109115, 16144, 111769, 32149, 106046, 16995, 107515, 32149, 95532, 59739, 109709, 102321, 31640, 20230, 123726, 30369, 112418, 120577, 102803, 52591, 105335, 106696, 37026, 33014, 29295, 13177, 102040, 65575, 118028, 76739, 108304, 105404, 10646, 84389, 101732, 119150, 16144, 38641, 9174, 567, 120795, 112508, 118028, 76739, 108304, 105404, 26854, 102803, 52591, 105335, 106696, 102416, 198, 118899, 15682, 42634, 102040, 22398, 5486, 57207, 108969, 33710, 102803, 52591, 5486, 90962, 38248, 105, 122842, 50667, 16144, 40862, 112690, 16144, 17297, 5486, 23226, 107436, 102208, 37026, 29295, 115364, 102803, 52591, 105335, 106696, 104088, 59739, 62004, 74245, 15024, 108048, 20230, 112183, 76947, 102491, 16995, 101544, 102571, 16144, 88356, 76706, 11883, 71289, 11881, 242, 16144, 26892, 53953, 30512, 17905, 46034, 47884, 88356, 107740, 54926, 113727, 24273, 32977, 103350, 124299, 116216, 61689, 9174, 15120, 24273, 5486, 72404, 102494, 99959, 16073, 26854, 109673, 110135, 126783, 16556, 106644, 19732, 111331, 101182, 35894, 56965, 5486, 108285, 104680, 114267, 123141, 62903, 108981, 16073, 16556, 33334, 44647, 240, 102936, 25197, 47307, 104612, 16073, 126694, 30369, 17792, 32977, 61689, 9174, 67645, 112384, 32977, 77693, 108422, 33121, 16144, 95001, 112603, 116787, 5486, 67645, 112384, 32977, 56965, 121953, 77181, 124897, 1811, 32149, 102083, 76947, 121821, 43568, 41920, 16144, 37656, 50338, 72661, 124897, 9174, 122485, 115303, 31431, 29295, 115364, 17792, 21990, 30512, 113404, 15024, 108048, 20230, 40862, 100472, 102944, 30512, 121507, 54926, 102677, 106556, 30512, 96356, 20230, 100815, 105784, 105908, 102208, 37026, 106515, 72342, 20230, 127331, 33503, 109768, 47884, 30926, 20230, 103721, 233, 29295, 30369, 16144, 111769, 107188, 108861, 106046, 61689, 9174, 112418, 115226, 107898, 72516, 120650, 100472, 31431, 122202, 116044, 114447, 121142, 99849, 72661, 111654, 106624, 26854, 76947, 114732, 16144, 126194, 111476, 13177, 105994, 29295, 109215, 103306, 107991, 102944, 30512, 105994, 116907, 16556, 113954, 39926, 111329, 13177, 39850, 125380, 71289, 39850, 38248, 104, 115247, 91763, 115461, 20230, 110498, 72342, 110071, 100909, 103470, 111329, 13177, 37795, 96, 71289, 98915, 104067, 29295, 108895, 109860, 102677, 114667, 30512, 113487, 50834, 20230, 111329, 115364, 123120, 71289, 123726, 24273, 30512, 122074, 54926, 113727, 24273, 19732, 123120, 123457, 113598, 30297, 100909, 109807, 113702, 103306, 102647, 102189, 17792, 21990, 30512, 105564, 104004, 100909, 9174, 77693, 29295, 13177, 102741, 112508, 118028, 76739, 108304, 105404, 26854, 102803, 52591, 105335, 106696, 66383, 16995, 105262, 16144, 111769, 123253, 32149, 95532, 567, 220, 120065, 91482, 76428, 102750, 22398, 109904, 113727, 103306, 90578, 102494, 99959, 16073, 108995, 19732, 90962, 38248, 105, 122842, 108995, 19732, 5486, 101083, 107809, 102052, 91482, 76428, 102750, 22398, 114556, 89046, 107726, 38144, 33122, 105525, 20230, 102971, 102802, 59739, 105784, 116537, 20834, 38144, 50834, 33541, 9174, 110219, 16144, 47307, 90962, 114615, 9039, 98406, 16144, 112603, 38574, 16556, 13177, 36827, 61994, 47260, 67075, 16073, 1041, 113127, 16144, 90962, 38248, 105, 122842, 47307, 90962, 33710, 118587, 122626, 54926, 72516, 32977, 57903, 33541, 9174, 102971, 91077, 26854, 20230, 30512, 121507, 120837, 33334, 35330, 29295, 115856, 117295, 102944, 26854, 104865, 110241, 33121, 107515, 29295, 36896, 48249, 109115, 33334, 35330, 118587, 36896, 105755, 108446, 50928, 108608, 83799, 16556, 33655, 105262, 10646, 127749, 30512, 104908, 109768, 105784, 114435, 29295, 51330, 61826, 16144, 104284, 43514, 103214, 108176, 104865, 110241, 33121, 107515, 9174, 80539, 102131, 95604, 127749, 108176, 102677, 104468, 112418, 104067, 33420, 106382, 30046, 125030, 114598, 126521, 30926, 36785, 106046, 61689, 9174, 10110, 83747, 103470, 107173, 109215, 100604, 121432, 30512, 105104, 102189, 25827, 20230, 109466, 31431, 104526, 102189, 18, 35, 111926, 67016, 107691, 119841, 113146, 29295, 37507, 30369, 105755, 32149, 15682, 1811, 7705, 128001, 128000, 2, 107668, 101467, 16144, 105408, 24273, 102416, 198, 104473, 98915, 103429, 117255, 67645, 32977, 105459, 30512, 126913, 107001, 105408, 24273, 102416, 198, 104575, 104654, 122692, 61633, 28542, 198, 567, 18049, 230, 47884, 91774, 30369, 102663, 102472, 19732, 106608, 105047, 117120, 22324, 16144, 120098, 198, 14711, 112562, 126365, 105262, 20834, 104473, 120635, 99, 31431, 114218, 5486, 125174, 114218, 5486, 118694, 104473, 5486, 40526, 107809, 16144, 20834, 104473, 198, 114225, 20230, 121819, 117598, 82533, 104473, 30512, 78434, 9174, 82533, 17129, 110104, 126513, 118314, 107608, 63212, 45829, 105107, 21403, 97, 16144, 26130, 105644, 29295, 109215, 38641, 9174, 30832, 126365, 105262, 20834, 104473, 15682, 127933, 38144, 38144, 103801, 16995, 29295, 43514, 119627, 5486, 114715, 21105, 96, 107277, 103359, 117120, 54926 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 110162, 9174, 103672, 109793, 22398, 39177, 23538, 20230, 17039, 102800, 102944, 20230, 107691, 16995, 104721, 105262, 27479, 20230, 17039, 102800, 121432, 29295, 116155, 84389, 100481, 38144, 5486, 67645, 124592, 25827, 112418, 120577, 127331, 124949, 15682, 103424, 115737, 107462, 50834, 79721, 9174, 11881, 242, 16144, 108285, 58655, 15682, 110162, 47884, 13177, 17039, 102800, 121432, 14, 112113, 118587, 25580, 28190, 20230, 110408, 15024, 118158, 102944, 29295, 43240, 102518, 16144, 30512, 103424, 47884, 112854, 107290, 61689, 9174, 13177, 17039, 122401, 6447, 53, 2505, 34, 76739, 123581, 16073, 30512, 113265, 107121, 56051, 17039, 25287, 57207, 91482, 48552, 76864, 110162, 111476, 13177, 45736, 102097, 104398, 6447, 99959, 117733, 102494, 102860, 20251, 125933, 118935, 11883, 16144, 46091, 86894, 109, 110101, 115691, 36651, 111926, 66383, 32149, 9174, 567, 120795, 112508, 118028, 76739, 108304, 105404, 111363, 60634, 23039, 198, 80673, 121906, 16995, 100472, 39135, 104680, 26854, 102944, 32977, 90962, 112164, 61398, 99695, 48552, 117084, 109749, 113146, 29295, 125338, 50834, 79721, 9174, 114093, 17620, 26854, 121432, 9458, 118463, 30512, 19361, 15024, 36896, 127258, 104028, 10646, 112772, 107691, 16995, 104721, 105262, 91875, 101513, 29295, 116213, 115737, 76947, 50834, 127280, 1811, 123680, 106808, 5486, 107691, 16995, 109913, 58942, 30512, 113096, 103130, 54926, 113009, 39850, 38248, 104, 115247, 118788, 117232, 29295, 102769, 103468, 74245, 123090, 47043, 29295, 127258, 104028, 102677, 107611, 39850, 38248, 104, 115247, 13177, 102741, 78683, 108337, 25197, 68759, 11972, 10646, 109020, 112690, 103296, 21990, 17129, 104028, 27704, 106968, 9174, 85701, 104446, 108861, 25197, 71493, 16073, 19732, 9174, 13177, 108152, 38248, 114, 11972, 29295, 126920, 109215, 103306, 107991, 102944, 15682, 127091, 91006, 198, 13177, 77693, 30512, 9554, 105184, 20230, 106767, 31431, 20834, 39926, 78683, 106240, 20230, 103899, 105262, 102944, 30512, 104908, 126693, 105525, 104028, 76864, 198, 102677, 47043, 122401, 16144, 89753, 33121, 117084, 61689, 1811, 16995, 78183, 106644, 30369, 68759, 38248, 109, 103906, 94550, 102677, 41007, 105242, 9174, 51330, 115195, 55031, 13177, 102741, 112508, 118028, 76739, 108304, 105404, 10646, 26854, 113727, 24273, 32977, 111017, 19732, 107693, 103984, 116216, 50834, 33541, 9174, 90620, 5486, 103350, 15682, 53953, 30926, 16144, 105335, 84477, 122060, 15682, 27929, 32977, 27929, 32977, 13177, 102741, 112508, 118028, 76739, 108304, 105404, 10646, 104468, 101860, 126529, 38641, 9174, 120885, 5486, 19967, 30369, 112832, 32149, 15682, 110901, 5486, 114387, 16144, 111654, 102800, 66383, 91763, 30297, 55031, 109900, 16556, 19967, 31431, 27704, 109315, 102189, 55031, 9174, 26854, 110115, 116414, 55031, 32149, 33122, 101275, 102832, 61398, 110276, 39177, 108048, 103378, 104446, 103470, 38144, 105037, 236, 26854, 47000, 21601, 95001, 112603, 30512, 47000, 107441, 43568, 102147, 226, 26854, 57326, 112718, 107908, 104774, 16144, 47260, 71634, 30512, 17905, 110498, 72342, 54926, 105933, 33122, 105525, 16144, 106548, 24273, 123410, 101200, 117084, 28713, 16144, 125651, 1811, 17129, 110745, 33857, 21990, 106518, 110745, 33857, 33420, 106382, 16144, 113146, 16556, 56051, 55031, 102131, 95604, 105494, 32977, 109215, 103351, 105879, 109954, 9174, 567, 116196, 109, 101911, 112197, 53283, 117063, 198, 16556, 110371, 52884, 77750, 30512, 108936, 109904, 100815, 124134, 121254, 32149, 110027, 30369, 102052, 111476, 13177, 27929, 85791, 27929, 85791, 102040, 65575, 118028, 76739, 108304, 105404, 26854, 47043, 122401, 55031, 5486, 126920, 109215, 26854, 100909, 103378, 30512, 43568, 102147, 226, 103470, 103350, 102321, 108608, 102741, 112508, 118028, 76739, 108304, 105404, 26854, 47043, 122401, 20230, 104721, 105262, 125231, 36785, 111329, 13177, 58426, 103846, 102052, 37271, 74482, 15682, 6109, 30512, 19361, 126120, 20230, 76706, 11883, 17663, 125231, 36785, 1811, 102717, 33503, 5486, 25904, 71289, 50, 2507, 30512, 106839, 17701, 119607, 1811, 70821, 16144, 71174, 20230, 109467, 108870, 30512, 101427, 122, 76622, 101200, 111329, 110162, 105321, 110162, 5486, 102677, 112973, 100525, 98, 40265, 26854, 101911, 126529, 119627, 108048, 15682, 112832, 111201, 49988, 122101, 103306, 37271, 18904, 32977, 104369, 42891, 107850, 102802, 33541, 9174, 567, 220, 30813, 38144, 5486, 95221, 30512, 108167, 74245, 39926, 9174, 27929, 32977, 27929, 32977, 114387, 76739, 52414, 102540, 30512, 102181, 108895, 106046, 100472, 104468, 114867, 16995, 114867, 16995, 51330, 52884, 77750, 16556, 117811, 107726, 38144, 115962, 119188, 198, 55038, 32938, 35894, 56965, 48864, 96555, 58911, 40526, 111400, 112183, 5232, 39087, 6399, 8871, 0, 289, 14, 1623, 4592, 198, 30512, 98499, 102189, 55031, 126529, 119627, 115515, 18904, 32977, 102717, 127842, 74843, 31431, 79721, 1811, 52884, 77750, 16144, 36668, 15682, 24860, 1308, 82071, 14531, 1494, 31478, 98369, 102677, 24273, 9174, 117876, 103458, 104680, 126194, 5486, 68408, 126590, 16144, 103359, 47523, 103306, 15017, 231, 58942, 100934, 112973, 13177, 102494, 101335, 10646, 103378, 20230, 104650, 17129, 121140, 36896, 9080, 104680, 16144, 104654, 10646, 32977, 106624, 15682, 13177, 17792, 21990, 58426, 102944, 66383, 95604, 112391, 29295, 78434, 9174, 22656, 37507, 36896, 68408, 126590, 102677, 104468, 108895, 125338, 17792, 21990, 30512, 119515, 111201, 54926, 113009, 23039, 30297, 102944, 120572, 26854, 108861, 66383, 76739, 52414, 102540, 30512, 98499, 104004, 28713, 102802, 5486, 108064, 32977, 91763, 110027, 100481, 90620, 102532, 33541, 1811, 16995, 78183, 106644, 30369, 13177, 91774, 28713, 30832, 10646, 114556, 78183, 30369, 13177, 108526, 33710, 91062, 10646, 71289, 13177, 39135, 10646, 32977, 32977, 43514, 85791, 25827, 27384, 102769, 119627, 5486, 31634, 54926, 20230, 36896, 44620, 99849, 29295, 36761, 44620, 104405, 124500, 76947, 36761, 44620, 104405, 103424, 47884, 109020, 104865, 36761, 102677, 106592, 78698, 105262, 105908, 68408, 126590, 116787, 106116, 103359, 47523, 15682, 30591, 33503, 106644, 30369, 96356, 16144, 18904, 111331, 30926, 47523, 29295, 103359, 47523, 108176, 66383, 1811, 102131, 78244, 113017, 113334, 77181, 124897, 29295, 5486, 112418, 15682, 103031, 16144, 76739, 52414, 102540, 30512, 98499, 104127, 102131, 112391, 127280, 9174, 567, 116474, 104043, 22656, 104482, 198, 16556, 5486, 16556, 110371, 198, 16144, 55038, 32938, 16144, 87177, 101832, 66327, 55038, 32938, 10646, 55031, 13177, 62903, 108981, 16073, 10646, 20230, 60634, 23039, 54926, 20230, 30591, 28713, 76947, 110924, 55031, 43568, 115737, 107462, 100472, 102944, 29295, 198, 9458, 55038, 32938, 15682, 102212, 5486, 58911, 5486, 56235, 5486, 74090, 71289, 109683, 110792, 59739, 105722, 31431, 30512, 103470, 56051, 9174, 9458, 55038, 32938, 15682, 102456, 100853, 100, 104874, 105623, 226, 124426, 103306, 16144, 107734, 111017, 30512, 103470, 56051, 9174, 9458, 109142, 32938, 15682, 122333, 117120, 22649, 16144, 121432, 30512, 103470, 56051, 9174, 9458, 55038, 32938, 15682, 47585, 117041, 16144, 75267, 77181, 123733, 100472, 9174, 9458, 46034, 56965, 104328, 17129, 29295, 126929, 102204, 123733, 100472, 9174, 9458, 21388, 113529, 29295, 103082, 101860, 5486, 126843, 16995, 102944, 29295, 102456, 119841, 9174, 9458, 55038, 32938, 15682, 36668, 122924, 16144, 126053, 31958, 30813, 30512, 21388, 110027, 30369, 9174, 103195, 19732, 9174, 28713, 67016, 20230, 102131, 36785, 9174, 37271, 15682, 24775, 55723, 64531, 22649, 16556, 121697, 109913, 107290, 114604, 123682, 111656, 103760, 16144, 46729, 102052, 37271, 16144, 46729, 102052, 100604, 102944, 29295, 111338, 58911, 57903, 79721, 9174, 9458, 46729, 40198, 250, 30512, 165, 36246, 30297, 120370, 19732, 108048, 30512, 114940, 47884, 120370, 10110, 111656, 103760, 16144, 46729, 77181, 55038, 32938, 77181, 43568, 102518, 29295, 23954, 9458, 27384, 112495, 122013, 30512, 102456, 110027, 30369, 124122, 27384, 112495, 102456, 32648, 125242, 198, 9458, 27384, 112495, 13393, 250, 124905, 100472, 31431, 110745, 33857, 20230, 104873, 22649, 117824, 30297, 124122, 109098, 27384, 26854, 118347, 61398, 10110, 60358, 31640, 16144, 62903, 108981, 16073, 15682, 20, 40198, 111, 113314, 23954, 9458, 19732, 112649, 47884, 40053, 20230, 39135, 104680, 19732, 102212, 108171, 71289, 102456, 42506, 29295, 59739, 123606, 101732, 27384, 112495, 74090, 56965, 198, 104309, 38641, 1811, 111656, 104503, 71289, 104503, 104067, 71208, 89046, 16325, 15682, 102717, 19732, 124592, 55038, 32938, 102052, 102780, 30512, 119870, 64121, 17701, 110615, 5486, 108038, 20230, 13177, 55038, 32938, 66383, 95604, 13177, 111482, 16144, 117876, 75267, 66383, 95604, 104371, 47523, 115991, 79721, 109900, 29295, 11881, 242, 16144, 104654, 103826, 29430, 116787, 5486, 109215, 55031, 21990, 64121, 20834, 103646, 121432, 19732, 106548, 103214, 64121, 103351, 105879, 109954, 9174, 567, 18630, 114, 237, 29295, 61826, 32149, 5486, 11239, 113, 29295, 61826, 32149, 198, 77181, 11881, 242, 16144, 13177, 55038, 32938, 10646, 55031, 37271, 16144, 13177, 62903, 108981, 16073, 10646, 20230, 124500, 100472, 16144, 76947, 13177, 26854, 112371, 10646, 26854, 105879, 109954, 32149, 95532, 13177, 102803, 52591, 105335, 106696, 10646, 29295, 104721, 33208, 56051, 55031, 123253, 32149, 95532, 104446, 108861, 36896, 102803, 52591, 105335, 106696, 29295, 104721, 33208, 10646, 56051, 104468, 26854, 112371, 123253, 32149, 95532, 77693, 76947, 36896, 55038, 32938, 29295, 62903, 108981, 16073, 20230, 124500, 100472, 55031, 66383, 114284, 107515, 32149, 95532, 13177, 102803, 52591, 105335, 106696, 29295, 124500, 100472, 55031, 62903, 108981, 16073, 110276, 117503, 126194, 111476, 13177, 62903, 108981, 16073, 110276, 55031, 102803, 52591, 105335, 106696, 29295, 124500, 100472, 10646, 105933, 116499, 78434, 9174, 106613, 111587, 16144, 109095, 109834, 20230, 114146, 38144, 78683, 106240, 126694, 31431, 121406, 103854, 47884, 5486, 101275, 98220, 36668, 106839, 16556, 102803, 52591, 105335, 106696, 30512, 37689, 111629, 112535, 104721, 33208, 107726, 109115, 16144, 111769, 32149, 106046, 16995, 107515, 32149, 95532, 59739, 109709, 102321, 31640, 20230, 123726, 30369, 112418, 120577, 102803, 52591, 105335, 106696, 37026, 33014, 29295, 13177, 102040, 65575, 118028, 76739, 108304, 105404, 10646, 84389, 101732, 119150, 16144, 38641, 9174, 567, 120795, 112508, 118028, 76739, 108304, 105404, 26854, 102803, 52591, 105335, 106696, 102416, 198, 118899, 15682, 42634, 102040, 22398, 5486, 57207, 108969, 33710, 102803, 52591, 5486, 90962, 38248, 105, 122842, 50667, 16144, 40862, 112690, 16144, 17297, 5486, 23226, 107436, 102208, 37026, 29295, 115364, 102803, 52591, 105335, 106696, 104088, 59739, 62004, 74245, 15024, 108048, 20230, 112183, 76947, 102491, 16995, 101544, 102571, 16144, 88356, 76706, 11883, 71289, 11881, 242, 16144, 26892, 53953, 30512, 17905, 46034, 47884, 88356, 107740, 54926, 113727, 24273, 32977, 103350, 124299, 116216, 61689, 9174, 15120, 24273, 5486, 72404, 102494, 99959, 16073, 26854, 109673, 110135, 126783, 16556, 106644, 19732, 111331, 101182, 35894, 56965, 5486, 108285, 104680, 114267, 123141, 62903, 108981, 16073, 16556, 33334, 44647, 240, 102936, 25197, 47307, 104612, 16073, 126694, 30369, 17792, 32977, 61689, 9174, 67645, 112384, 32977, 77693, 108422, 33121, 16144, 95001, 112603, 116787, 5486, 67645, 112384, 32977, 56965, 121953, 77181, 124897, 1811, 32149, 102083, 76947, 121821, 43568, 41920, 16144, 37656, 50338, 72661, 124897, 9174, 122485, 115303, 31431, 29295, 115364, 17792, 21990, 30512, 113404, 15024, 108048, 20230, 40862, 100472, 102944, 30512, 121507, 54926, 102677, 106556, 30512, 96356, 20230, 100815, 105784, 105908, 102208, 37026, 106515, 72342, 20230, 127331, 33503, 109768, 47884, 30926, 20230, 103721, 233, 29295, 30369, 16144, 111769, 107188, 108861, 106046, 61689, 9174, 112418, 115226, 107898, 72516, 120650, 100472, 31431, 122202, 116044, 114447, 121142, 99849, 72661, 111654, 106624, 26854, 76947, 114732, 16144, 126194, 111476, 13177, 105994, 29295, 109215, 103306, 107991, 102944, 30512, 105994, 116907, 16556, 113954, 39926, 111329, 13177, 39850, 125380, 71289, 39850, 38248, 104, 115247, 91763, 115461, 20230, 110498, 72342, 110071, 100909, 103470, 111329, 13177, 37795, 96, 71289, 98915, 104067, 29295, 108895, 109860, 102677, 114667, 30512, 113487, 50834, 20230, 111329, 115364, 123120, 71289, 123726, 24273, 30512, 122074, 54926, 113727, 24273, 19732, 123120, 123457, 113598, 30297, 100909, 109807, 113702, 103306, 102647, 102189, 17792, 21990, 30512, 105564, 104004, 100909, 9174, 77693, 29295, 13177, 102741, 112508, 118028, 76739, 108304, 105404, 26854, 102803, 52591, 105335, 106696, 66383, 16995, 105262, 16144, 111769, 123253, 32149, 95532, 567, 220, 120065, 91482, 76428, 102750, 22398, 109904, 113727, 103306, 90578, 102494, 99959, 16073, 108995, 19732, 90962, 38248, 105, 122842, 108995, 19732, 5486, 101083, 107809, 102052, 91482, 76428, 102750, 22398, 114556, 89046, 107726, 38144, 33122, 105525, 20230, 102971, 102802, 59739, 105784, 116537, 20834, 38144, 50834, 33541, 9174, 110219, 16144, 47307, 90962, 114615, 9039, 98406, 16144, 112603, 38574, 16556, 13177, 36827, 61994, 47260, 67075, 16073, 1041, 113127, 16144, 90962, 38248, 105, 122842, 47307, 90962, 33710, 118587, 122626, 54926, 72516, 32977, 57903, 33541, 9174, 102971, 91077, 26854, 20230, 30512, 121507, 120837, 33334, 35330, 29295, 115856, 117295, 102944, 26854, 104865, 110241, 33121, 107515, 29295, 36896, 48249, 109115, 33334, 35330, 118587, 36896, 105755, 108446, 50928, 108608, 83799, 16556, 33655, 105262, 10646, 127749, 30512, 104908, 109768, 105784, 114435, 29295, 51330, 61826, 16144, 104284, 43514, 103214, 108176, 104865, 110241, 33121, 107515, 9174, 80539, 102131, 95604, 127749, 108176, 102677, 104468, 112418, 104067, 33420, 106382, 30046, 125030, 114598, 126521, 30926, 36785, 106046, 61689, 9174, 10110, 83747, 103470, 107173, 109215, 100604, 121432, 30512, 105104, 102189, 25827, 20230, 109466, 31431, 104526, 102189, 18, 35, 111926, 67016, 107691, 119841, 113146, 29295, 37507, 30369, 105755, 32149, 15682, 1811, 7705, 128001, 128000, 2, 107668, 101467, 16144, 105408, 24273, 102416, 198, 104473, 98915, 103429, 117255, 67645, 32977, 105459, 30512, 126913, 107001, 105408, 24273, 102416, 198, 104575, 104654, 122692, 61633, 28542, 198, 567, 18049, 230, 47884, 91774, 30369, 102663, 102472, 19732, 106608, 105047, 117120, 22324, 16144, 120098, 198, 14711, 112562, 126365, 105262, 20834, 104473, 120635, 99, 31431, 114218, 5486, 125174, 114218, 5486, 118694, 104473, 5486, 40526, 107809, 16144, 20834, 104473, 198, 114225, 20230, 121819, 117598, 82533, 104473, 30512, 78434, 9174, 82533, 17129, 110104, 126513, 118314, 107608, 63212, 45829, 105107, 21403, 97, 16144, 26130, 105644, 29295, 109215, 38641, 9174, 30832, 126365, 105262, 20834, 104473, 15682, 127933, 38144, 38144, 103801, 16995, 29295, 43514, 119627, 5486, 114715, 21105, 96, 107277, 103359, 117120, 54926 ]
[ 118733, 82533, 104473, 108608, 107803, 29295, 127181, 38641, 9174, 567, 120635, 99, 31431, 114218, 9458, 125174, 114218, 198, 106608, 105047, 117120, 22324, 16144, 120098, 198, 12, 120635, 99, 31431, 114218, 71289, 125174, 114218, 117758, 20834, 104473, 15682, 5486, 80866, 162, 66391, 26854, 102472, 38248, 120, 71289, 102040, 16073, 71493, 78459, 104309, 16556, 104195, 62004, 20230, 110408, 30813, 107290, 121819, 117598, 126693, 82533, 104473, 125545, 9174, 12, 114163, 117255, 67645, 32977, 105755, 5486, 114715, 101544, 62004, 20230, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 12, 105961, 104473, 29295, 82533, 117864, 33503, 5486, 33420, 109177, 39926, 58254, 228, 109832, 104735, 237, 104309, 30512, 127574, 31431, 17129, 109954, 9174, 12, 113545, 57183, 116219, 99695, 124603, 104309, 15682, 5486, 15682, 29295, 17663, 110018, 20230, 47884, 42891, 59739, 102532, 88356, 20834, 104473, 16144, 113385, 108176, 105908, 101182, 103846, 5486, 61633, 29295, 109215, 38641, 9174, 12, 105961, 104473, 34048, 25129, 30512, 30320, 115, 71289, 106142, 105368, 22398, 57326, 110494, 5486, 106142, 122539, 52927, 104309, 16556, 106142, 71289, 15024, 5486, 51385, 106353, 117657, 123017, 19361, 126120, 119627, 5486, 114218, 40526, 20230, 109467, 40265, 38144, 100604, 104466, 103801, 109954, 9174, 567, 18630, 120, 119, 104473, 198, 12, 18630, 120, 119, 104473, 16144, 43240, 47884, 15682, 118694, 16144, 124629, 40526, 47000, 60358, 16144, 32943, 110366, 16144, 90397, 246, 115716, 55031, 20834, 104473, 103792, 103846, 120268, 118694, 116825, 17129, 104004, 19732, 82533, 104473, 108608, 105908, 57903, 33541, 9174, 12, 220, 21105, 96, 107277, 31809, 118694, 116825, 17129, 104127, 82533, 104473, 103801, 109954, 9174, 12, 124109, 38248, 120, 30512, 50520, 108, 62004, 104533, 50834, 15682, 118694, 29295, 104735, 101, 33503, 104004, 103296, 114392, 20230, 50520, 108, 62004, 121423, 33541, 9174, 12, 124109, 38248, 120, 71289, 100990, 123, 79059, 20230, 102756, 64810, 107805, 123160, 122279, 104735, 237, 30512, 59657, 245, 31431, 5486, 9039, 82973, 118694, 20230, 50520, 108, 107436, 33334, 50834, 33541, 1811, 122279, 104735, 237, 30512, 59657, 245, 76947, 33334, 126145, 50520, 108, 109013, 102944, 29295, 90397, 246, 115716, 20230, 47884, 42891, 59739, 126660, 103846, 108167, 21418, 47884, 110018, 20230, 88356, 20834, 104473, 54926, 105908, 124897, 9174, 12, 105961, 104473, 29295, 106307, 47884, 126513, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 78434, 9174, 827, 54699, 100, 117598, 82533, 104473, 39926, 102944, 67645, 20230, 104473, 107654, 29295, 89753, 104028, 126513, 5486, 114225, 20230, 108870, 118694, 70626, 114475, 120761, 39926, 72315, 109807, 104983, 5486, 121755, 70141, 76622, 20230, 121120, 32149, 72342, 104533, 104473, 107654, 29295, 95221, 45893, 20230, 50520, 108, 115464, 109688, 117126, 107407, 103846, 5486, 103605, 76947, 103892, 30512, 17297, 102639, 30369, 104466, 103801, 109954, 9174, 567, 27951, 96, 107809, 16144, 20834, 104473, 198, 12, 73028, 107, 104699, 50834, 117758, 20834, 104473, 15682, 5486, 102717, 19732, 124592, 15682, 71005, 109519, 21105, 103, 47884, 111243, 82533, 109709, 33541, 9174, 12, 105961, 104473, 29295, 106307, 47884, 126513, 5486, 80866, 162, 66391, 26854, 102472, 38248, 120, 5486, 100990, 123, 104309, 111848, 121819, 117598, 82533, 104473, 71289, 198, 106142, 106956, 53610, 16556, 40526, 30512, 106644, 17663, 16995, 36785, 31431, 5486, 20251, 32131, 102750, 62903, 60868, 91062, 108602, 10110, 82533, 104473, 21403, 97, 7705, 30512, 32943, 44309, 56051, 31431, 54926, 102083, 117201, 109954, 198, 827, 78507, 222, 107654, 15682, 30591, 109709, 115320, 64121, 104526, 105823, 100604, 104466, 103801, 109954, 1811, 120208, 29295, 109161, 47884, 109020, 105908, 57903, 33541, 9174, 14711, 112562, 126365, 119841, 20834, 104473, 220, 104369, 59739, 107674, 5486, 101832, 25827, 75694, 5486, 110135, 108881, 16144, 107750, 16995, 198, 114225, 20230, 106142, 71289, 78434, 9174, 118314, 107608, 63212, 45829, 105107, 21403, 97, 16144, 26130, 105644, 29295, 109215, 26854, 107803, 32977, 57903, 33541, 9174, 108631, 64121, 71289, 101921, 104, 33121, 29295, 104328, 67645, 16995, 126513, 5486, 91875, 50834, 18904, 30369, 118733, 20834, 104473, 29295, 106307, 50834, 5486, 18904, 109095, 103296, 20230, 82973, 29295, 32149, 126469, 114732, 103846, 5486, 103856, 47884, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 54926, 109215, 115991, 33541, 9174, 113314, 29295, 117355, 16995, 126513, 51385, 106353, 20230, 56051, 30591, 19732, 112454, 110362, 107726, 106116, 74482, 15682, 123050, 112919, 122225, 20230, 106644, 36785, 101832, 17129, 109954, 9174, 567, 220, 104369, 59739, 107674, 110018, 198, 12, 220, 28713, 25827, 22957, 104369, 123160, 107803, 5486, 26130, 105644, 15682, 109215, 124897, 29295, 5486, 105871, 17297, 20834, 104473, 29295, 104328, 67645, 16995, 110018, 15682, 106142, 71289, 39926, 121819, 117598, 78434, 9174, 12, 69839, 115, 105368, 109531, 33710, 57207, 84477, 104309, 30512, 127574, 114598, 104712, 123253, 9174, 827, 112562, 16144, 41642, 111331, 105871, 17297, 20834, 104473, 16556, 102701, 79059, 30512, 121819, 117598, 54926, 64209, 55487, 107407, 126513, 5486, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 56051, 118881, 29295, 104712, 123253, 9174, 567, 220, 101832, 25827, 75694, 9458, 110645, 26274, 120, 198, 12, 103241, 115, 71289, 106142, 105368, 22398, 57326, 110494, 5486, 106142, 122539, 52927, 104309, 16556, 106142, 71289, 78434, 198, 827, 69839, 115, 71289, 56051, 74482, 5486, 88367, 127303, 104984, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 103801, 109954, 9174, 567, 18630, 103, 101, 108881, 16144, 107750, 16995, 198, 12, 220, 108608, 103378, 103856, 47884, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 54926, 118733, 5486, 20834, 104473, 71289, 101921, 104, 33121, 29295, 83747, 103470, 38144, 111587, 64121, 33541, 9174, 827, 104037, 107, 76505, 10110, 114001, 58942, 76505, 7705, 104309, 16556, 124108, 15024, 5486, 114225, 20230, 122412, 20230, 89046, 106824, 23039, 76947, 72315, 9174, 14711, 112562, 126365, 119841, 20834, 104473, 109006, 102780, 16144, 121894, 71289, 91875, 50834, 119279, 32149, 102800, 198, 97518, 107792, 71289, 119049, 107079, 32943, 20834, 104473, 16144, 125396, 115991, 33541, 9174, 118314, 107608, 63212, 45829, 105107, 21403, 97, 16144, 26130, 105644, 29295, 109215, 117282, 107803, 115991, 33541, 198, 97518, 107792, 71289, 119049, 107079, 104309, 48915, 126328, 91774, 119841, 105494, 16556, 20834, 104473, 112990, 5486, 108631, 64121, 16556, 103302, 102639, 110137, 81219, 21105, 234, 118765, 5486, 20834, 104473, 56051, 116245, 119707, 81219, 30297, 104309, 5486, 108064, 32977, 19732, 108010, 30297, 91875, 50834, 29295, 64121, 102204, 33541, 9174, 97518, 107792, 71289, 119049, 107079, 16144, 20834, 104473, 30512, 103721, 108, 31431, 104196, 17663, 19732, 106116, 110674, 105564, 50834, 24273, 29295, 102416, 25827, 110276, 31431, 5486, 97518, 107792, 29295, 109161, 115737, 100472, 31431, 54926, 125396, 115991, 33541, 105879, 106116, 72368, 27479, 5486, 105184, 103350, 20230, 71005, 17663, 105908, 27384, 102769, 38641, 9174, 567, 107429, 111, 61075, 5486, 104328, 75694, 5486, 57942, 246, 123160, 97518, 107792, 32943, 20834, 104473, 16144, 107803, 198, 108631, 64121, 16556, 30297, 17129, 47884, 105564, 124324, 5486, 103302, 102639, 110137, 81219, 21105, 234, 118765, 5486, 101921, 104, 33121, 71289, 107969, 99750, 107407, 123160, 66378, 17599, 112, 115991, 33541, 198, 12, 119630, 32149, 33334, 32149, 102800, 26854, 106046, 100472, 33503, 5486, 74482, 85791, 55031, 105564, 50834, 24273, 30512, 61633, 39926, 64121, 38144, 72315, 124845, 118396, 16144, 102780, 16144, 103768, 102802, 24273, 20230, 108010, 34208, 99750, 122291, 33503, 71174, 119707, 107441, 122765, 38144, 72315, 9174, 12, 105961, 104473, 103792, 103826, 45829, 29295, 64121, 109115, 33503, 5486, 49, 9458, 40, 9458, 34, 9458, 36, 10110, 49, 9458, 40, 9458, 34, 9458, 36, 112031, 20834, 104473, 34048, 25129, 48154, 110792, 117271, 7705, 30512, 121846, 20230, 106608, 105047, 117120, 22324, 117824, 61689, 9174, 12, 126075, 31634, 20230, 106608, 100204, 38144, 105564, 23039, 16144, 75910, 103129, 30512, 39926, 122765, 38144, 72315, 9174, 567, 105697, 233, 107079, 32943, 20834, 104473, 16144, 107803, 198, 102780, 30512, 104328, 50834, 101860, 30369, 5486, 102780, 29295, 110137, 102802, 100604, 123160, 66378, 17599, 112, 115991, 33541, 198, 827, 117917, 249, 64121, 71289, 107969, 99750, 29295, 106307, 47884, 101200, 127303, 104984, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 78434, 9174, 121980, 97518, 107792, 32943, 20834, 104473, 30512, 125119, 15024, 126172, 16995, 97518, 107792, 71289, 5486, 119049, 107079, 32943, 20834, 104473, 30512, 125119, 15024, 126172, 16995, 119049, 107079, 109853, 15682, 13177, 104473, 98915, 103429, 16144, 111571, 103397, 10646, 32977, 48154, 111182, 72315, 9174, 14711, 112562, 126365, 119841, 20834, 104473, 110453, 255, 30512, 104195, 47884, 76537, 100472, 122603, 16995, 110229, 55031, 120175, 28713, 198, 114652, 114181, 105085, 39926, 104721, 104873, 29295, 30591, 104984, 5486, 123050, 30046, 20230, 89046, 117139, 15024, 5486, 30358, 111571, 105110, 108057, 105047, 101918, 30512, 105324, 102802, 33541, 198, 103892, 30512, 76537, 100472, 110018, 20230, 103892, 105623, 233, 32943, 20834, 104473, 30512, 125119, 17663, 109688, 117126, 34171, 15682, 5486, 104473, 98915, 103429, 117255, 67645, 32977, 32977, 102131, 16556, 100604, 45829, 67645, 32977, 32977, 112361, 38641, 1811, 104473, 98915, 103429, 109860, 103892, 105623, 233, 32943, 20834, 104473, 30512, 125119, 15024, 126172, 16995, 113334, 111769, 105879, 5486, 103188, 27479, 20230, 64209, 55487, 15024, 120195, 30369, 109335, 124897, 1811, 90620, 15024, 5486, 20834, 104473, 56051, 110018, 20230, 71005, 109519, 29295, 30250, 227, 104028, 19732, 5486, 20834, 104473, 33857, 29295, 115079, 107290, 111571, 103397, 29295, 109161, 33208, 54926, 125396, 107407, 103846, 5486, 111571, 103397, 30512, 114652, 114181, 105085, 103801, 109954, 9174, 567, 113168, 121, 111571, 198, 37689, 109375, 115991, 24186, 95221, 26854, 103826, 45829, 198, 12, 113168, 121, 111571, 105110, 103826, 45829, 30512, 64121, 38144, 57980, 117201, 109954, 9174, 12, 78507, 222, 98915, 103429, 16144, 107803, 5486, 103892, 107809, 16556, 100204, 78183, 100204, 78183, 19732, 20834, 104473, 29295, 106307, 50834, 5486, 9039, 9080, 123090, 109161, 33208, 54926, 115789, 101182, 103846, 111476, 58426, 74482, 10110, 32335, 103167, 1187, 82973, 120732, 106613, 103188, 114181, 105085, 29295, 107693, 38641, 9174, 827, 126075, 101860, 103892, 30512, 76537, 100472, 106592, 123050, 30046, 20230, 89046, 117139, 103801, 109954, 9174, 567, 109367, 111571, 10110, 103892, 105623, 233, 32943, 20834, 104473, 30512, 125119, 103792, 125396, 29295, 113727, 102204, 104533, 50834, 23954, 37689, 109375, 119703, 5486, 76622, 16995, 33121, 25827, 103792, 5486, 103892, 108631, 5486, 118328, 50834, 95221, 5486, 103672, 11972, 42891, 103306, 107991, 128001, 128000, 567, 105863, 255, 51609, 26854, 5486, 80673, 107693, 26854, 105156, 15120, 106444, 198, 59795, 16144, 114172, 102512, 37087, 33014, 107809, 72661, 110745, 107960, 108267, 23538, 20230, 30591, 28713, 104533, 107001, 13177, 101523, 237, 45114, 233, 59563, 49409, 103293, 113146, 118587, 105721, 78183, 117063, 28713, 37795, 233, 10110, 23864, 21909, 21985, 119735, 5486, 103268, 126241, 105352, 112624, 28713, 100604, 106649, 51609, 20230, 105721, 78183, 100472, 123682, 32977, 5486, 108008, 20230, 107693, 26854, 117876, 30512, 16995, 47884, 59739, 32977, 13153, 15024, 30250, 224, 102639, 28713, 101538, 103293, 103351, 19732, 107001, 9174, 13177, 101523, 237, 45114, 233, 59563, 49409, 103293, 113146, 10646, 17620, 117068, 56051, 16325, 105189, 5486, 108901, 121593, 126027, 106444, 5486, 59795, 102512, 17905, 126636, 107960, 108267, 113146, 198, 46091, 29504, 113146, 123434, 5486, 3443, 8107, 108680, 32977, 106307, 102334, 17620, 117068, 30512, 23951, 109095, 15024, 5486, 43240, 121593, 5486, 106581, 9554, 43240, 103826, 33208, 5486, 48864, 16144, 108285, 29295, 31431, 104309, 112212, 5486, 120006, 16144, 119400, 105755, 5486, 101860, 104043, 111108, 67016, 100472, 106046, 126832, 105156, 15120, 106444, 16144, 115376, 20230, 19653, 56051, 9174, 13177, 120006, 101538, 103293, 10646, 27704, 105600, 106152, 75513, 16144, 104503, 103760, 5486, 34171, 35083, 5486, 110886, 113495, 5486, 32335, 23538, 1811, 105156, 15120, 106444, 121270, 105189, 16144, 45918, 243, 21990, 198, 115143, 102052, 33671, 20230, 3101, 8107, 106307, 47884, 112609, 10110, 21985, 21909, 23505, 120732, 75146, 114457, 121711, 5486, 113702, 112535, 43240, 119064, 117375, 30512, 74482, 101083, 20230, 108618, 17663, 100909, 119012, 9174, 14711, 18630, 255, 237, 45114, 233, 59563, 49409, 103293, 113146, 16144, 102971, 106968, 198, 108285, 27384, 26854, 10110, 90620, 15024, 112599, 16144, 108761, 74090, 20230, 57106, 103854, 104984, 112185, 112185, 101462, 255, 16995, 119318, 116310, 103351, 19732, 107001, 7705, 59795, 16144, 49409, 19732, 59563, 20230, 101538, 103293, 29295, 17620, 32149, 33121, 101732, 59563, 49409, 103293, 113146, 10110, 20963, 21909, 22905, 120732, 106968, 23538, 9174, 122270, 49409, 7741, 231, 10110, 13506, 21909, 23411, 7705, 19732, 49409, 41642, 10110, 20866, 21909, 23864, 7705, 20230, 103283, 33121, 101732, 49409, 110366, 121960, 5486, 49409, 41642, 29295, 49409, 7741, 231, 30512, 121143, 109416, 56051, 104468, 5486, 23411, 116358, 100909, 9174, 80539, 59795, 49409, 30512, 105156, 15120, 56051, 49409, 41642, 15682, 5486, 23864, 8107, 102052, 37795, 233, 19732, 13372, 30512, 23226, 109013, 9174, 54656, 227, 92148, 110, 112212, 121453, 28713, 26854, 105600, 106152, 119012, 61964, 232, 45144, 227, 10110, 22058, 21909, 20354, 119735, 5486, 101704, 104680, 16144, 105156, 15120, 101538, 103293, 16144, 105600, 106152, 105352, 109020, 113334, 103195, 9174, 110095, 119178, 16144, 76947, 37795, 233, 29295, 5486, 40265, 125344, 59563, 16144, 101538, 103293, 115287, 118741, 10110, 23906, 21909, 22905, 7705, 30512, 121143, 109416, 39926, 5486, 107637, 30512, 88356, 105156, 15120, 56051, 104468, 22905, 116358, 100909, 9174, 101544, 16995, 17620, 117068, 23538, 16144, 30926, 30512, 113727, 104533, 5486, 78183, 111842, 30591, 42891, 30813, 31431, 56051, 102669, 16995, 103351, 101200, 36785, 9174, 567, 110124, 95, 50834, 17161, 106152, 198, 14711, 103993, 66870, 103070, 34048, 1811, 16325, 102181, 66870, 5486, 103722, 17297, 66870, 5486, 109461, 102181, 66870, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 118733, 82533, 104473, 108608, 107803, 29295, 127181, 38641, 9174, 567, 120635, 99, 31431, 114218, 9458, 125174, 114218, 198, 106608, 105047, 117120, 22324, 16144, 120098, 198, 12, 120635, 99, 31431, 114218, 71289, 125174, 114218, 117758, 20834, 104473, 15682, 5486, 80866, 162, 66391, 26854, 102472, 38248, 120, 71289, 102040, 16073, 71493, 78459, 104309, 16556, 104195, 62004, 20230, 110408, 30813, 107290, 121819, 117598, 126693, 82533, 104473, 125545, 9174, 12, 114163, 117255, 67645, 32977, 105755, 5486, 114715, 101544, 62004, 20230, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 12, 105961, 104473, 29295, 82533, 117864, 33503, 5486, 33420, 109177, 39926, 58254, 228, 109832, 104735, 237, 104309, 30512, 127574, 31431, 17129, 109954, 9174, 12, 113545, 57183, 116219, 99695, 124603, 104309, 15682, 5486, 15682, 29295, 17663, 110018, 20230, 47884, 42891, 59739, 102532, 88356, 20834, 104473, 16144, 113385, 108176, 105908, 101182, 103846, 5486, 61633, 29295, 109215, 38641, 9174, 12, 105961, 104473, 34048, 25129, 30512, 30320, 115, 71289, 106142, 105368, 22398, 57326, 110494, 5486, 106142, 122539, 52927, 104309, 16556, 106142, 71289, 15024, 5486, 51385, 106353, 117657, 123017, 19361, 126120, 119627, 5486, 114218, 40526, 20230, 109467, 40265, 38144, 100604, 104466, 103801, 109954, 9174, 567, 18630, 120, 119, 104473, 198, 12, 18630, 120, 119, 104473, 16144, 43240, 47884, 15682, 118694, 16144, 124629, 40526, 47000, 60358, 16144, 32943, 110366, 16144, 90397, 246, 115716, 55031, 20834, 104473, 103792, 103846, 120268, 118694, 116825, 17129, 104004, 19732, 82533, 104473, 108608, 105908, 57903, 33541, 9174, 12, 220, 21105, 96, 107277, 31809, 118694, 116825, 17129, 104127, 82533, 104473, 103801, 109954, 9174, 12, 124109, 38248, 120, 30512, 50520, 108, 62004, 104533, 50834, 15682, 118694, 29295, 104735, 101, 33503, 104004, 103296, 114392, 20230, 50520, 108, 62004, 121423, 33541, 9174, 12, 124109, 38248, 120, 71289, 100990, 123, 79059, 20230, 102756, 64810, 107805, 123160, 122279, 104735, 237, 30512, 59657, 245, 31431, 5486, 9039, 82973, 118694, 20230, 50520, 108, 107436, 33334, 50834, 33541, 1811, 122279, 104735, 237, 30512, 59657, 245, 76947, 33334, 126145, 50520, 108, 109013, 102944, 29295, 90397, 246, 115716, 20230, 47884, 42891, 59739, 126660, 103846, 108167, 21418, 47884, 110018, 20230, 88356, 20834, 104473, 54926, 105908, 124897, 9174, 12, 105961, 104473, 29295, 106307, 47884, 126513, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 78434, 9174, 827, 54699, 100, 117598, 82533, 104473, 39926, 102944, 67645, 20230, 104473, 107654, 29295, 89753, 104028, 126513, 5486, 114225, 20230, 108870, 118694, 70626, 114475, 120761, 39926, 72315, 109807, 104983, 5486, 121755, 70141, 76622, 20230, 121120, 32149, 72342, 104533, 104473, 107654, 29295, 95221, 45893, 20230, 50520, 108, 115464, 109688, 117126, 107407, 103846, 5486, 103605, 76947, 103892, 30512, 17297, 102639, 30369, 104466, 103801, 109954, 9174, 567, 27951, 96, 107809, 16144, 20834, 104473, 198, 12, 73028, 107, 104699, 50834, 117758, 20834, 104473, 15682, 5486, 102717, 19732, 124592, 15682, 71005, 109519, 21105, 103, 47884, 111243, 82533, 109709, 33541, 9174, 12, 105961, 104473, 29295, 106307, 47884, 126513, 5486, 80866, 162, 66391, 26854, 102472, 38248, 120, 5486, 100990, 123, 104309, 111848, 121819, 117598, 82533, 104473, 71289, 198, 106142, 106956, 53610, 16556, 40526, 30512, 106644, 17663, 16995, 36785, 31431, 5486, 20251, 32131, 102750, 62903, 60868, 91062, 108602, 10110, 82533, 104473, 21403, 97, 7705, 30512, 32943, 44309, 56051, 31431, 54926, 102083, 117201, 109954, 198, 827, 78507, 222, 107654, 15682, 30591, 109709, 115320, 64121, 104526, 105823, 100604, 104466, 103801, 109954, 1811, 120208, 29295, 109161, 47884, 109020, 105908, 57903, 33541, 9174, 14711, 112562, 126365, 119841, 20834, 104473, 220, 104369, 59739, 107674, 5486, 101832, 25827, 75694, 5486, 110135, 108881, 16144, 107750, 16995, 198, 114225, 20230, 106142, 71289, 78434, 9174, 118314, 107608, 63212, 45829, 105107, 21403, 97, 16144, 26130, 105644, 29295, 109215, 26854, 107803, 32977, 57903, 33541, 9174, 108631, 64121, 71289, 101921, 104, 33121, 29295, 104328, 67645, 16995, 126513, 5486, 91875, 50834, 18904, 30369, 118733, 20834, 104473, 29295, 106307, 50834, 5486, 18904, 109095, 103296, 20230, 82973, 29295, 32149, 126469, 114732, 103846, 5486, 103856, 47884, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 54926, 109215, 115991, 33541, 9174, 113314, 29295, 117355, 16995, 126513, 51385, 106353, 20230, 56051, 30591, 19732, 112454, 110362, 107726, 106116, 74482, 15682, 123050, 112919, 122225, 20230, 106644, 36785, 101832, 17129, 109954, 9174, 567, 220, 104369, 59739, 107674, 110018, 198, 12, 220, 28713, 25827, 22957, 104369, 123160, 107803, 5486, 26130, 105644, 15682, 109215, 124897, 29295, 5486, 105871, 17297, 20834, 104473, 29295, 104328, 67645, 16995, 110018, 15682, 106142, 71289, 39926, 121819, 117598, 78434, 9174, 12, 69839, 115, 105368, 109531, 33710, 57207, 84477, 104309, 30512, 127574, 114598, 104712, 123253, 9174, 827, 112562, 16144, 41642, 111331, 105871, 17297, 20834, 104473, 16556, 102701, 79059, 30512, 121819, 117598, 54926, 64209, 55487, 107407, 126513, 5486, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 56051, 118881, 29295, 104712, 123253, 9174, 567, 220, 101832, 25827, 75694, 9458, 110645, 26274, 120, 198, 12, 103241, 115, 71289, 106142, 105368, 22398, 57326, 110494, 5486, 106142, 122539, 52927, 104309, 16556, 106142, 71289, 78434, 198, 827, 69839, 115, 71289, 56051, 74482, 5486, 88367, 127303, 104984, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 103801, 109954, 9174, 567, 18630, 103, 101, 108881, 16144, 107750, 16995, 198, 12, 220, 108608, 103378, 103856, 47884, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 54926, 118733, 5486, 20834, 104473, 71289, 101921, 104, 33121, 29295, 83747, 103470, 38144, 111587, 64121, 33541, 9174, 827, 104037, 107, 76505, 10110, 114001, 58942, 76505, 7705, 104309, 16556, 124108, 15024, 5486, 114225, 20230, 122412, 20230, 89046, 106824, 23039, 76947, 72315, 9174, 14711, 112562, 126365, 119841, 20834, 104473, 109006, 102780, 16144, 121894, 71289, 91875, 50834, 119279, 32149, 102800, 198, 97518, 107792, 71289, 119049, 107079, 32943, 20834, 104473, 16144, 125396, 115991, 33541, 9174, 118314, 107608, 63212, 45829, 105107, 21403, 97, 16144, 26130, 105644, 29295, 109215, 117282, 107803, 115991, 33541, 198, 97518, 107792, 71289, 119049, 107079, 104309, 48915, 126328, 91774, 119841, 105494, 16556, 20834, 104473, 112990, 5486, 108631, 64121, 16556, 103302, 102639, 110137, 81219, 21105, 234, 118765, 5486, 20834, 104473, 56051, 116245, 119707, 81219, 30297, 104309, 5486, 108064, 32977, 19732, 108010, 30297, 91875, 50834, 29295, 64121, 102204, 33541, 9174, 97518, 107792, 71289, 119049, 107079, 16144, 20834, 104473, 30512, 103721, 108, 31431, 104196, 17663, 19732, 106116, 110674, 105564, 50834, 24273, 29295, 102416, 25827, 110276, 31431, 5486, 97518, 107792, 29295, 109161, 115737, 100472, 31431, 54926, 125396, 115991, 33541, 105879, 106116, 72368, 27479, 5486, 105184, 103350, 20230, 71005, 17663, 105908, 27384, 102769, 38641, 9174, 567, 107429, 111, 61075, 5486, 104328, 75694, 5486, 57942, 246, 123160, 97518, 107792, 32943, 20834, 104473, 16144, 107803, 198, 108631, 64121, 16556, 30297, 17129, 47884, 105564, 124324, 5486, 103302, 102639, 110137, 81219, 21105, 234, 118765, 5486, 101921, 104, 33121, 71289, 107969, 99750, 107407, 123160, 66378, 17599, 112, 115991, 33541, 198, 12, 119630, 32149, 33334, 32149, 102800, 26854, 106046, 100472, 33503, 5486, 74482, 85791, 55031, 105564, 50834, 24273, 30512, 61633, 39926, 64121, 38144, 72315, 124845, 118396, 16144, 102780, 16144, 103768, 102802, 24273, 20230, 108010, 34208, 99750, 122291, 33503, 71174, 119707, 107441, 122765, 38144, 72315, 9174, 12, 105961, 104473, 103792, 103826, 45829, 29295, 64121, 109115, 33503, 5486, 49, 9458, 40, 9458, 34, 9458, 36, 10110, 49, 9458, 40, 9458, 34, 9458, 36, 112031, 20834, 104473, 34048, 25129, 48154, 110792, 117271, 7705, 30512, 121846, 20230, 106608, 105047, 117120, 22324, 117824, 61689, 9174, 12, 126075, 31634, 20230, 106608, 100204, 38144, 105564, 23039, 16144, 75910, 103129, 30512, 39926, 122765, 38144, 72315, 9174, 567, 105697, 233, 107079, 32943, 20834, 104473, 16144, 107803, 198, 102780, 30512, 104328, 50834, 101860, 30369, 5486, 102780, 29295, 110137, 102802, 100604, 123160, 66378, 17599, 112, 115991, 33541, 198, 827, 117917, 249, 64121, 71289, 107969, 99750, 29295, 106307, 47884, 101200, 127303, 104984, 118314, 107608, 63212, 45829, 105107, 21403, 97, 30512, 26130, 105644, 78434, 9174, 121980, 97518, 107792, 32943, 20834, 104473, 30512, 125119, 15024, 126172, 16995, 97518, 107792, 71289, 5486, 119049, 107079, 32943, 20834, 104473, 30512, 125119, 15024, 126172, 16995, 119049, 107079, 109853, 15682, 13177, 104473, 98915, 103429, 16144, 111571, 103397, 10646, 32977, 48154, 111182, 72315, 9174, 14711, 112562, 126365, 119841, 20834, 104473, 110453, 255, 30512, 104195, 47884, 76537, 100472, 122603, 16995, 110229, 55031, 120175, 28713, 198, 114652, 114181, 105085, 39926, 104721, 104873, 29295, 30591, 104984, 5486, 123050, 30046, 20230, 89046, 117139, 15024, 5486, 30358, 111571, 105110, 108057, 105047, 101918, 30512, 105324, 102802, 33541, 198, 103892, 30512, 76537, 100472, 110018, 20230, 103892, 105623, 233, 32943, 20834, 104473, 30512, 125119, 17663, 109688, 117126, 34171, 15682, 5486, 104473, 98915, 103429, 117255, 67645, 32977, 32977, 102131, 16556, 100604, 45829, 67645, 32977, 32977, 112361, 38641, 1811, 104473, 98915, 103429, 109860, 103892, 105623, 233, 32943, 20834, 104473, 30512, 125119, 15024, 126172, 16995, 113334, 111769, 105879, 5486, 103188, 27479, 20230, 64209, 55487, 15024, 120195, 30369, 109335, 124897, 1811, 90620, 15024, 5486, 20834, 104473, 56051, 110018, 20230, 71005, 109519, 29295, 30250, 227, 104028, 19732, 5486, 20834, 104473, 33857, 29295, 115079, 107290, 111571, 103397, 29295, 109161, 33208, 54926, 125396, 107407, 103846, 5486, 111571, 103397, 30512, 114652, 114181, 105085, 103801, 109954, 9174, 567, 113168, 121, 111571, 198, 37689, 109375, 115991, 24186, 95221, 26854, 103826, 45829, 198, 12, 113168, 121, 111571, 105110, 103826, 45829, 30512, 64121, 38144, 57980, 117201, 109954, 9174, 12, 78507, 222, 98915, 103429, 16144, 107803, 5486, 103892, 107809, 16556, 100204, 78183, 100204, 78183, 19732, 20834, 104473, 29295, 106307, 50834, 5486, 9039, 9080, 123090, 109161, 33208, 54926, 115789, 101182, 103846, 111476, 58426, 74482, 10110, 32335, 103167, 1187, 82973, 120732, 106613, 103188, 114181, 105085, 29295, 107693, 38641, 9174, 827, 126075, 101860, 103892, 30512, 76537, 100472, 106592, 123050, 30046, 20230, 89046, 117139, 103801, 109954, 9174, 567, 109367, 111571, 10110, 103892, 105623, 233, 32943, 20834, 104473, 30512, 125119, 103792, 125396, 29295, 113727, 102204, 104533, 50834, 23954, 37689, 109375, 119703, 5486, 76622, 16995, 33121, 25827, 103792, 5486, 103892, 108631, 5486, 118328, 50834, 95221, 5486, 103672, 11972, 42891, 103306, 107991, 128001, 128000, 567, 105863, 255, 51609, 26854, 5486, 80673, 107693, 26854, 105156, 15120, 106444, 198, 59795, 16144, 114172, 102512, 37087, 33014, 107809, 72661, 110745, 107960, 108267, 23538, 20230, 30591, 28713, 104533, 107001, 13177, 101523, 237, 45114, 233, 59563, 49409, 103293, 113146, 118587, 105721, 78183, 117063, 28713, 37795, 233, 10110, 23864, 21909, 21985, 119735, 5486, 103268, 126241, 105352, 112624, 28713, 100604, 106649, 51609, 20230, 105721, 78183, 100472, 123682, 32977, 5486, 108008, 20230, 107693, 26854, 117876, 30512, 16995, 47884, 59739, 32977, 13153, 15024, 30250, 224, 102639, 28713, 101538, 103293, 103351, 19732, 107001, 9174, 13177, 101523, 237, 45114, 233, 59563, 49409, 103293, 113146, 10646, 17620, 117068, 56051, 16325, 105189, 5486, 108901, 121593, 126027, 106444, 5486, 59795, 102512, 17905, 126636, 107960, 108267, 113146, 198, 46091, 29504, 113146, 123434, 5486, 3443, 8107, 108680, 32977, 106307, 102334, 17620, 117068, 30512, 23951, 109095, 15024, 5486, 43240, 121593, 5486, 106581, 9554, 43240, 103826, 33208, 5486, 48864, 16144, 108285, 29295, 31431, 104309, 112212, 5486, 120006, 16144, 119400, 105755, 5486, 101860, 104043, 111108, 67016, 100472, 106046, 126832, 105156, 15120, 106444, 16144, 115376, 20230, 19653, 56051, 9174, 13177, 120006, 101538, 103293, 10646, 27704, 105600, 106152, 75513, 16144, 104503, 103760, 5486, 34171, 35083, 5486, 110886, 113495, 5486, 32335, 23538, 1811, 105156, 15120, 106444, 121270, 105189, 16144, 45918, 243, 21990, 198, 115143, 102052, 33671, 20230, 3101, 8107, 106307, 47884, 112609, 10110, 21985, 21909, 23505, 120732, 75146, 114457, 121711, 5486, 113702, 112535, 43240, 119064, 117375, 30512, 74482, 101083, 20230, 108618, 17663, 100909, 119012, 9174, 14711, 18630, 255, 237, 45114, 233, 59563, 49409, 103293, 113146, 16144, 102971, 106968, 198, 108285, 27384, 26854, 10110, 90620, 15024, 112599, 16144, 108761, 74090, 20230, 57106, 103854, 104984, 112185, 112185, 101462, 255, 16995, 119318, 116310, 103351, 19732, 107001, 7705, 59795, 16144, 49409, 19732, 59563, 20230, 101538, 103293, 29295, 17620, 32149, 33121, 101732, 59563, 49409, 103293, 113146, 10110, 20963, 21909, 22905, 120732, 106968, 23538, 9174, 122270, 49409, 7741, 231, 10110, 13506, 21909, 23411, 7705, 19732, 49409, 41642, 10110, 20866, 21909, 23864, 7705, 20230, 103283, 33121, 101732, 49409, 110366, 121960, 5486, 49409, 41642, 29295, 49409, 7741, 231, 30512, 121143, 109416, 56051, 104468, 5486, 23411, 116358, 100909, 9174, 80539, 59795, 49409, 30512, 105156, 15120, 56051, 49409, 41642, 15682, 5486, 23864, 8107, 102052, 37795, 233, 19732, 13372, 30512, 23226, 109013, 9174, 54656, 227, 92148, 110, 112212, 121453, 28713, 26854, 105600, 106152, 119012, 61964, 232, 45144, 227, 10110, 22058, 21909, 20354, 119735, 5486, 101704, 104680, 16144, 105156, 15120, 101538, 103293, 16144, 105600, 106152, 105352, 109020, 113334, 103195, 9174, 110095, 119178, 16144, 76947, 37795, 233, 29295, 5486, 40265, 125344, 59563, 16144, 101538, 103293, 115287, 118741, 10110, 23906, 21909, 22905, 7705, 30512, 121143, 109416, 39926, 5486, 107637, 30512, 88356, 105156, 15120, 56051, 104468, 22905, 116358, 100909, 9174, 101544, 16995, 17620, 117068, 23538, 16144, 30926, 30512, 113727, 104533, 5486, 78183, 111842, 30591, 42891, 30813, 31431, 56051, 102669, 16995, 103351, 101200, 36785, 9174, 567, 110124, 95, 50834, 17161, 106152, 198, 14711, 103993, 66870, 103070, 34048, 1811, 16325, 102181, 66870, 5486, 103722, 17297, 66870, 5486, 109461, 102181, 66870, 198 ]
[ 49409, 41642, 15682, 120613, 33035, 112586, 5486, 102491, 31640, 101538, 103293, 16144, 41642, 30512, 37689, 109375, 56051, 102677, 36896, 103070, 102078, 16144, 44416, 66383, 95604, 110886, 33014, 44416, 30512, 118935, 11883, 107113, 9174, 85701, 15682, 5486, 104966, 102078, 5486, 30590, 102078, 5486, 104149, 102078, 5486, 105140, 102078, 5486, 107795, 102078, 5486, 113786, 102078, 16144, 109203, 105360, 102802, 16144, 110886, 121606, 29295, 101538, 16144, 17297, 107294, 119188, 102944, 9174, 13177, 41642, 101538, 103293, 10646, 103271, 103842, 227, 32648, 1811, 115953, 19113, 16144, 108285, 109709, 1811, 104149, 107795, 113146, 5486, 102669, 29504, 113146, 5486, 123470, 61304, 108565, 198, 102491, 31640, 16144, 59795, 105755, 16144, 39276, 123285, 30512, 19361, 54926, 102677, 115953, 71869, 16144, 43511, 9174, 13177, 13773, 230, 117694, 10646, 36896, 47453, 107, 10646, 36896, 121200, 11239, 239, 10646, 36896, 30320, 238, 10646, 36896, 47453, 234, 10646, 123160, 13177, 76208, 114939, 66383, 127173, 104028, 120328, 34048, 71869, 105459, 29295, 124629, 108267, 33121, 101732, 107960, 31106, 234, 114267, 113146, 9174, 103070, 102078, 16144, 44416, 15682, 5486, 115953, 71869, 29295, 22649, 101067, 103306, 102334, 76868, 103351, 105879, 119568, 33503, 30512, 103868, 24273, 107294, 105784, 113009, 19361, 126120, 103351, 114420, 9174, 80673, 37795, 233, 16144, 17161, 106152, 10110, 61964, 232, 45144, 227, 119735, 5486, 78183, 111842, 49409, 41642, 16144, 117375, 117758, 110645, 105368, 30512, 111629, 106358, 101200, 103195, 9174, 27929, 32977, 27929, 32977, 108285, 27384, 26854, 29504, 74090, 30512, 105156, 71005, 54926, 107803, 5486, 105600, 106152, 30512, 115962, 28542, 117408, 70563, 32131, 101198, 105404, 83799, 16144, 110886, 33014, 44416, 29295, 103192, 17129, 102800, 19732, 113727, 102204, 101732, 105879, 121906, 95604, 115552, 16556, 109203, 20230, 101544, 16995, 103070, 102078, 15682, 5486, 15682, 26854, 55031, 50034, 115590, 115287, 9174, 104004, 15024, 85791, 37795, 233, 16144, 110886, 33014, 44416, 15682, 5486, 76537, 43514, 105150, 100472, 114737, 115287, 49409, 7741, 231, 16144, 117375, 29295, 104195, 102518, 19732, 110731, 9174, 37795, 233, 29295, 118935, 11883, 56051, 44620, 46091, 66870, 103070, 34048, 36761, 15682, 5486, 123470, 113146, 16144, 59795, 16144, 110886, 105352, 27384, 112495, 117375, 30512, 108618, 103792, 102677, 9174, 46091, 66870, 107118, 121270, 102181, 66870, 5486, 103722, 17297, 66870, 5486, 109461, 102181, 66870, 102677, 46091, 101513, 97518, 16144, 100909, 9174, 16325, 102181, 66870, 15682, 5486, 105600, 106152, 19732, 50021, 111813, 39926, 5486, 25333, 81742, 123160, 83125, 30512, 11883, 37689, 54926, 9174, 103722, 17297, 66870, 15682, 5486, 20834, 103646, 25333, 81742, 30512, 117859, 112984, 54926, 9174, 109461, 102181, 66870, 108295, 5486, 103722, 17297, 66870, 16144, 117859, 112984, 30512, 33035, 100472, 25333, 81742, 30512, 103350, 102923, 54926, 9174, 16325, 102181, 66870, 15682, 112609, 23897, 104989, 16144, 31091, 16556, 5486, 37795, 233, 16144, 119400, 15682, 13177, 32943, 102512, 66870, 10646, 103351, 114420, 9174, 14711, 111374, 123680, 16144, 27704, 109709, 198, 102669, 108267, 16144, 113146, 115287, 19732, 107001, 101523, 237, 45114, 233, 59563, 49409, 103293, 113146, 15682, 5486, 106848, 111828, 71869, 29295, 105994, 126027, 106848, 16556, 104195, 16995, 112607, 48634, 114792, 100472, 5486, 111828, 71869, 16144, 113146, 72661, 105693, 9174, 109846, 110371, 106848, 16144, 111828, 71869, 29295, 48634, 114792, 59739, 100909, 113468, 125119, 30369, 112607, 48634, 106106, 16995, 29295, 5486, 105156, 15120, 106444, 16144, 51385, 23187, 30512, 40053, 20230, 109688, 117126, 20230, 115143, 39926, 105898, 9174, 110924, 16556, 17161, 106152, 15682, 5486, 118752, 30590, 16144, 107338, 123863, 17792, 30926, 112607, 30512, 109432, 20230, 18904, 110226, 56051, 9174, 59739, 109709, 108048, 17129, 77181, 109432, 20230, 102647, 81219, 33121, 102208, 30590, 16144, 101544, 102078, 29295, 5486, 63091, 17620, 16144, 126913, 54926, 119208, 16144, 17297, 16144, 30046, 105459, 30512, 102647, 104127, 102334, 113334, 109846, 5486, 101544, 102078, 116749, 16144, 102078, 7305, 237, 10110, 107734, 17792, 7705, 32977, 5486, 109432, 29295, 49988, 51609, 54926, 83799, 114267, 9174, 115143, 102052, 5486, 28425, 112, 49988, 61826, 15682, 20834, 96356, 30590, 116749, 102677, 36896, 18904, 111098, 16144, 44416, 66383, 127173, 104028, 53229, 108630, 32977, 103350, 102923, 9174, 31958, 33503, 111201, 5486, 104604, 31938, 115, 16144, 47260, 102750, 30512, 104970, 120544, 39926, 16144, 118733, 30591, 103950, 9174, 53900, 5486, 102491, 47884, 55031, 10110, 66378, 20230, 109432, 7705, 105212, 16144, 107734, 116537, 5486, 111828, 71869, 16144, 46729, 16144, 21990, 123606, 102677, 112973, 32335, 103167, 77195, 19732, 84389, 101732, 29295, 5486, 17161, 106152, 15682, 110382, 20230, 50834, 38144, 124620, 70626, 123680, 36761, 19732, 127173, 104028, 5486, 105120, 236, 8107, 5486, 55139, 48154, 19732, 20230, 9039, 13372, 101860, 118821, 127706, 30046, 30512, 121406, 5486, 102078, 59999, 248, 25132, 229, 11883, 106081, 111186, 30512, 11883, 37689, 56051, 9174, 51330, 106081, 111186, 15682, 96356, 17620, 114556, 108826, 103470, 112832, 72661, 101682, 105784, 105908, 103082, 28713, 9174, 51330, 70626, 123680, 102677, 104468, 5486, 80866, 10110, 10718, 21, 21909, 7529, 17, 120732, 113146, 103296, 25359, 106307, 107113, 102131, 103195, 9174, 14711, 75677, 120, 50834, 119400, 16144, 108044, 108323, 198, 17161, 106152, 15682, 59795, 16144, 114172, 102512, 20230, 9039, 43240, 47884, 107991, 6271, 237, 100927, 20230, 101427, 122, 105987, 56051, 105600, 106152, 107809, 72661, 5486, 22023, 30046, 103306, 16144, 44971, 115882, 29295, 66378, 20230, 126574, 115303, 31431, 103351, 19732, 107001, 9174, 103350, 104983, 5486, 49409, 41642, 15682, 6271, 237, 100927, 30512, 78183, 111842, 119375, 121819, 107113, 101200, 109846, 5486, 17161, 106152, 15682, 92776, 25129, 54926, 71289, 5486, 20834, 46729, 44416, 48249, 30512, 114225, 50338, 21418, 15024, 5486, 106613, 105586, 71289, 6271, 237, 66201, 126694, 30369, 111764, 30512, 104736, 109013, 102677, 9174, 13177, 6271, 237, 100927, 16144, 100927, 58942, 10646, 106699, 105647, 16144, 121953, 1811, 102208, 29504, 48154, 110792, 127742, 1811, 13393, 230, 10287, 99, 15682, 99849, 30512, 125636, 100472, 104865, 198, 114387, 108044, 108323, 32977, 101182, 9174, 108553, 16556, 106518, 17129, 103468, 61964, 232, 45144, 227, 29295, 112185, 113261, 16995, 119400, 9174, 110924, 20230, 105487, 110139, 103420, 102677, 103420, 29295, 102321, 33121, 36896, 51330, 124863, 115612, 20230, 104378, 54926, 109215, 107407, 10646, 104309, 19732, 119852, 5486, 103350, 104983, 20230, 115612, 20230, 104378, 56051, 9174, 103350, 16144, 103760, 15682, 5486, 45829, 20230, 38093, 30297, 106592, 108493, 100204, 102204, 101732, 29295, 5486, 101182, 9080, 59739, 119178, 37046, 110020, 20230, 113420, 58942, 32149, 101832, 38144, 5486, 22957, 42891, 27929, 31431, 38093, 76947, 108623, 102532, 64121, 28713, 9174, 112990, 119568, 16144, 103892, 55031, 64936, 29295, 21990, 58942, 5486, 33014, 16325, 29295, 110203, 245, 20230, 117633, 123671, 5486, 103760, 15682, 121602, 102532, 127032, 30512, 107918, 20230, 102936, 103306, 114604, 9174, 110924, 16556, 103420, 29295, 102321, 106824, 103001, 228, 102334, 102677, 9174, 13177, 85701, 16556, 110371, 121240, 36827, 17297, 108167, 29295, 114715, 30250, 227, 104028, 100909, 117084, 103801, 16995, 79721, 111329, 14711, 42579, 229, 17161, 31374, 115, 1811, 105600, 106152, 20230, 106548, 107800, 76739, 123581, 114676, 198, 49409, 41642, 15682, 5486, 14309, 251, 127826, 16144, 61786, 51385, 16144, 102865, 20230, 5486, 61075, 72368, 30512, 22324, 16995, 101732, 29295, 5486, 17161, 106152, 15682, 110924, 20230, 17039, 106624, 110745, 109834, 60174, 102677, 109098, 27384, 26854, 60174, 10110, 19732, 127173, 104028, 113949, 7705, 30512, 123079, 107726, 28713, 9174, 85701, 15682, 112609, 16144, 113146, 102052, 36896, 101544, 51385, 60174, 66383, 107001, 101200, 108176, 9174, 27384, 109834, 60174, 15682, 5486, 101778, 61786, 103664, 21133, 15, 39850, 84477, 33710, 5486, 59563, 49409, 103664, 18670, 15, 39850, 84477, 33710, 102677, 5486, 12870, 226, 16995, 22398, 102663, 64178, 16144, 106391, 67178, 115287, 114420, 9174, 85701, 16144, 123079, 16144, 113160, 49988, 30046, 115287, 19732, 107001, 110164, 17161, 31374, 115, 10110, 14148, 21909, 21018, 119735, 115515, 20230, 13372, 30512, 108618, 17663, 27384, 127178, 46729, 9174, 103031, 15682, 17161, 106152, 16144, 33671, 16144, 101851, 105, 106152, 105352, 106548, 58942, 119568, 16144, 113146, 16144, 107907, 107873, 60174, 16144, 123079, 105352, 97518, 78183, 103836, 102677, 9174, 43511, 105352, 27384, 106045, 54872, 26854, 103768, 103232, 16144, 87447, 102332, 71289, 122603, 102097, 27479, 26854, 53610, 39177, 82420, 16144, 113404, 5486, 127284, 108608, 108881, 31431, 28713, 28713, 64121, 29430, 106496, 113290, 104309, 5486, 112113, 30046, 103306, 16144, 110164, 17161, 31374, 115, 16144, 76739, 70563, 102741, 65575, 15682, 107188, 31431, 127181, 101200, 103195, 9174, 14711, 112362, 105, 123462, 17885, 121, 108327, 1811, 104195, 120195, 28713, 58850, 198, 17161, 106152, 16144, 105600, 34547, 103195, 106063, 123462, 17885, 121, 108327, 10110, 21239, 21909, 20224, 119735, 5486, 10110, 83747, 103470, 107173, 40265, 125344, 75146, 107253, 77181, 7705, 19732, 111243, 104195, 16995, 58850, 115287, 19732, 107001, 9174, 61786, 101523, 237, 10110, 20618, 21909, 20866, 5486, 49409, 41642, 16144, 25580, 96356, 120732, 5486, 13773, 230, 117694, 16144, 45163, 103472, 115287, 106063, 123462, 22023, 10110, 17824, 21909, 23906, 120732, 107571, 16144, 115303, 31431, 103195, 109453, 15682, 5486, 975, 97049, 16144, 126101, 61964, 232, 45144, 227, 19732, 126326, 56051, 9174, 80539, 126326, 16144, 104983, 20230, 5486, 127177, 58850, 19732, 127032, 126694, 110104, 106592, 45918, 241, 110027, 28713, 102677, 9174, 106063, 123462, 17885, 121, 108327, 16144, 80195, 75267, 15682, 5486, 61964, 232, 45144, 227, 29295, 105600, 106152, 104856, 76947, 55031, 32977, 104195, 16995, 110674, 103351, 101200, 16556, 119568, 15682, 51330, 45918, 241, 16995, 30512, 102717, 109416, 108038, 20230, 106154, 33503, 84389, 101732, 102677, 9174, 108064, 72661, 110423, 103984, 16144, 30832, 122291, 102677, 104468, 27384, 102639, 30813, 26854, 87177, 127303, 103950, 32149, 9174, 17161, 106152, 15682, 127637, 103378, 5486, 117694, 37795, 115, 16144, 107571, 19732, 116690, 114792, 100472, 114420, 29295, 106116, 107571, 15682, 91774, 30926, 20230, 108055, 104698, 110731, 9174, 80539, 26854, 107188, 32149, 109834, 103868, 102987, 16995, 104468, 51330, 74482, 103195, 9174, 105600, 106152, 15682, 111179, 95221, 120007, 16144, 107571, 30512, 108055, 56051, 14558, 114556, 39926, 5486, 105600, 34547, 20230, 107188, 31431, 113799, 31431, 114792, 100472, 102131, 109846, 108048, 30512, 28190, 19732, 70141, 126469, 112844, 112442, 95221, 15682, 103470, 114318, 31431, 30591, 58942, 101860, 15682, 106496, 113290, 30512, 20834, 100481, 100472, 114420, 9174, 101200, 54926, 20230, 113799, 76947, 46729, 118158, 114420, 9174, 80539, 108323, 50928, 20230, 104862, 118544, 107441, 105898, 27384, 113524, 105459, 113115, 39926, 36896, 121722, 105600, 106152, 103195, 110115, 5486, 58850, 122485, 111764, 20230, 118765, 66383, 16937, 112624, 30512, 104369, 43514, 17129, 107674, 102677, 9174, 27384, 113524, 16144, 115303, 31431, 15682, 13177, 28713, 32149, 29295, 15120, 122924, 107707, 48154, 108267, 64209, 104309, 30591, 109709, 95221, 20230, 84389, 33541, 26854, 1811, 36827, 17297, 120332, 29295, 27384, 102769, 26854, 31431, 17129, 109954, 10646, 104309, 19732, 108323, 50928, 56051, 29295, 5486, 116414, 16556, 77693, 30512, 104655, 102334, 104865, 5486, 28713, 32149, 29295, 15120, 122924, 17792, 104309, 19732, 25666, 103646, 120266, 91062, 71493, 59739, 16995, 101732, 105600, 34547, 15682, 5486, 123090, 114667, 116825, 107441, 58426, 27384, 113524, 30512, 21388, 107928, 107726, 28713, 102131, 103195, 9174, 567, 113204, 112, 106656, 19732, 107001, 101851, 105, 106152, 198, 14711, 220, 105600, 101402, 121240, 103605, 30512, 17905, 46034, 47884, 127696, 30297, 198, 17161, 106152, 19732, 105600, 34547, 16144, 56965, 102052, 21, 107707, 45829, 29295, 102532, 106116, 101544, 71208, 16144, 61964, 232, 112442, 29295, 119869, 15682, 105600, 101402, 45829, 103306, 121697, 109115, 9174, 80673, 5486, 105600, 34547, 16144, 117332, 162, 66391, 23706, 244, 111571, 16144, 119318, 116310, 15682, 23018, 45829, 105352, 82317, 104127, 102334, 103846, 5486, 109453, 15682, 58850, 120111, 19732, 107624, 106053, 103351, 51330, 101544, 71208, 30512, 115389, 106358, 9174, 66378, 20230, 61964, 232, 112442, 15682, 5486, 103926, 107707, 115303, 31431, 109156, 33121, 104526, 104127, 5486, 117727, 26854, 105600, 101402, 45829, 124769, 30512, 108055, 104698, 56051, 107173, 110731, 9174, 85701, 20230, 105600, 34547, 15682, 107188, 31431, 113799, 100472, 101200, 103195, 9174, 15120, 24273, 16556, 33671, 71208, 103195, 61964, 232, 108285, 15682, 106116, 37795, 247, 20230, 108167, 17701, 100472, 9174, 59739, 109709, 103031, 15682, 5486, 110438, 107118, 121953, 5486, 111482, 113115, 39926, 27869, 111, 101559, 26854, 71208, 30512, 99741, 16995, 5486, 105600, 34547, 20230, 108167, 17701, 100472, 19732, 110731, 9174, 53900, 104503, 5486, 17161, 106152, 113115, 120837, 5486, 89151, 99046, 107, 26854, 110783, 110095, 30512, 64209, 29295, 76622, 5486, 127879, 109115, 102677, 9174, 123470, 61304, 108565, 55031, 78698, 105262, 20230, 110745, 26854, 31431, 31809, 26854, 31431, 77693, 33503, 102052, 102446, 83301, 5486, 102446, 20834, 122291, 106046, 126832, 9174, 80539, 5067, 8107, 119400, 5486, 33671, 71208, 15682, 91774, 30926, 20230, 5486, 101544, 71208, 55031, 105600, 101402, 121240, 103605, 30512, 127696, 30297, 120266, 19653, 56051, 16144, 103351, 9174, 14711, 105913, 58850, 30512, 116348, 30369, 106759, 45829, 83601, 100, 103001, 102, 198, 105600, 34547, 29295, 20224, 116033, 109988, 115737, 100472, 74482, 9174, 101182, 115552, 16556, 5486, 101200, 71289, 47884, 50338, 54322, 103646, 17161, 106152, 15682, 5486, 107322, 105189, 122687, 118741, 105514, 10110, 23411, 21909, 19666, 7705, 19732, 5486, 37729, 105189, 122687, 107139, 94, 105514, 102677, 127862, 107707, 58666, 58850, 30512, 17039, 106624, 103926, 56051, 9174, 80673, 20354, 8107, 9174, 17161, 106152, 32977, 53900, 103429, 16556, 112294, 100472, 126101, 5486, 117382, 55031, 41920, 107707, 58666, 17792, 20230, 30832, 116825, 76622, 101732, 61964, 232, 108285, 15682, 115847, 30512, 53901, 101513, 19732, 91774, 38144, 114318, 31431, 30591, 58942, 101860, 15682, 118741, 105514, 114556, 108826, 30512, 117598, 100472, 9174, 17161, 106152, 15682, 77693, 30512, 53283, 76947, 113799, 31431, 5486, 61964, 232, 108285, 30512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49409, 41642, 15682, 120613, 33035, 112586, 5486, 102491, 31640, 101538, 103293, 16144, 41642, 30512, 37689, 109375, 56051, 102677, 36896, 103070, 102078, 16144, 44416, 66383, 95604, 110886, 33014, 44416, 30512, 118935, 11883, 107113, 9174, 85701, 15682, 5486, 104966, 102078, 5486, 30590, 102078, 5486, 104149, 102078, 5486, 105140, 102078, 5486, 107795, 102078, 5486, 113786, 102078, 16144, 109203, 105360, 102802, 16144, 110886, 121606, 29295, 101538, 16144, 17297, 107294, 119188, 102944, 9174, 13177, 41642, 101538, 103293, 10646, 103271, 103842, 227, 32648, 1811, 115953, 19113, 16144, 108285, 109709, 1811, 104149, 107795, 113146, 5486, 102669, 29504, 113146, 5486, 123470, 61304, 108565, 198, 102491, 31640, 16144, 59795, 105755, 16144, 39276, 123285, 30512, 19361, 54926, 102677, 115953, 71869, 16144, 43511, 9174, 13177, 13773, 230, 117694, 10646, 36896, 47453, 107, 10646, 36896, 121200, 11239, 239, 10646, 36896, 30320, 238, 10646, 36896, 47453, 234, 10646, 123160, 13177, 76208, 114939, 66383, 127173, 104028, 120328, 34048, 71869, 105459, 29295, 124629, 108267, 33121, 101732, 107960, 31106, 234, 114267, 113146, 9174, 103070, 102078, 16144, 44416, 15682, 5486, 115953, 71869, 29295, 22649, 101067, 103306, 102334, 76868, 103351, 105879, 119568, 33503, 30512, 103868, 24273, 107294, 105784, 113009, 19361, 126120, 103351, 114420, 9174, 80673, 37795, 233, 16144, 17161, 106152, 10110, 61964, 232, 45144, 227, 119735, 5486, 78183, 111842, 49409, 41642, 16144, 117375, 117758, 110645, 105368, 30512, 111629, 106358, 101200, 103195, 9174, 27929, 32977, 27929, 32977, 108285, 27384, 26854, 29504, 74090, 30512, 105156, 71005, 54926, 107803, 5486, 105600, 106152, 30512, 115962, 28542, 117408, 70563, 32131, 101198, 105404, 83799, 16144, 110886, 33014, 44416, 29295, 103192, 17129, 102800, 19732, 113727, 102204, 101732, 105879, 121906, 95604, 115552, 16556, 109203, 20230, 101544, 16995, 103070, 102078, 15682, 5486, 15682, 26854, 55031, 50034, 115590, 115287, 9174, 104004, 15024, 85791, 37795, 233, 16144, 110886, 33014, 44416, 15682, 5486, 76537, 43514, 105150, 100472, 114737, 115287, 49409, 7741, 231, 16144, 117375, 29295, 104195, 102518, 19732, 110731, 9174, 37795, 233, 29295, 118935, 11883, 56051, 44620, 46091, 66870, 103070, 34048, 36761, 15682, 5486, 123470, 113146, 16144, 59795, 16144, 110886, 105352, 27384, 112495, 117375, 30512, 108618, 103792, 102677, 9174, 46091, 66870, 107118, 121270, 102181, 66870, 5486, 103722, 17297, 66870, 5486, 109461, 102181, 66870, 102677, 46091, 101513, 97518, 16144, 100909, 9174, 16325, 102181, 66870, 15682, 5486, 105600, 106152, 19732, 50021, 111813, 39926, 5486, 25333, 81742, 123160, 83125, 30512, 11883, 37689, 54926, 9174, 103722, 17297, 66870, 15682, 5486, 20834, 103646, 25333, 81742, 30512, 117859, 112984, 54926, 9174, 109461, 102181, 66870, 108295, 5486, 103722, 17297, 66870, 16144, 117859, 112984, 30512, 33035, 100472, 25333, 81742, 30512, 103350, 102923, 54926, 9174, 16325, 102181, 66870, 15682, 112609, 23897, 104989, 16144, 31091, 16556, 5486, 37795, 233, 16144, 119400, 15682, 13177, 32943, 102512, 66870, 10646, 103351, 114420, 9174, 14711, 111374, 123680, 16144, 27704, 109709, 198, 102669, 108267, 16144, 113146, 115287, 19732, 107001, 101523, 237, 45114, 233, 59563, 49409, 103293, 113146, 15682, 5486, 106848, 111828, 71869, 29295, 105994, 126027, 106848, 16556, 104195, 16995, 112607, 48634, 114792, 100472, 5486, 111828, 71869, 16144, 113146, 72661, 105693, 9174, 109846, 110371, 106848, 16144, 111828, 71869, 29295, 48634, 114792, 59739, 100909, 113468, 125119, 30369, 112607, 48634, 106106, 16995, 29295, 5486, 105156, 15120, 106444, 16144, 51385, 23187, 30512, 40053, 20230, 109688, 117126, 20230, 115143, 39926, 105898, 9174, 110924, 16556, 17161, 106152, 15682, 5486, 118752, 30590, 16144, 107338, 123863, 17792, 30926, 112607, 30512, 109432, 20230, 18904, 110226, 56051, 9174, 59739, 109709, 108048, 17129, 77181, 109432, 20230, 102647, 81219, 33121, 102208, 30590, 16144, 101544, 102078, 29295, 5486, 63091, 17620, 16144, 126913, 54926, 119208, 16144, 17297, 16144, 30046, 105459, 30512, 102647, 104127, 102334, 113334, 109846, 5486, 101544, 102078, 116749, 16144, 102078, 7305, 237, 10110, 107734, 17792, 7705, 32977, 5486, 109432, 29295, 49988, 51609, 54926, 83799, 114267, 9174, 115143, 102052, 5486, 28425, 112, 49988, 61826, 15682, 20834, 96356, 30590, 116749, 102677, 36896, 18904, 111098, 16144, 44416, 66383, 127173, 104028, 53229, 108630, 32977, 103350, 102923, 9174, 31958, 33503, 111201, 5486, 104604, 31938, 115, 16144, 47260, 102750, 30512, 104970, 120544, 39926, 16144, 118733, 30591, 103950, 9174, 53900, 5486, 102491, 47884, 55031, 10110, 66378, 20230, 109432, 7705, 105212, 16144, 107734, 116537, 5486, 111828, 71869, 16144, 46729, 16144, 21990, 123606, 102677, 112973, 32335, 103167, 77195, 19732, 84389, 101732, 29295, 5486, 17161, 106152, 15682, 110382, 20230, 50834, 38144, 124620, 70626, 123680, 36761, 19732, 127173, 104028, 5486, 105120, 236, 8107, 5486, 55139, 48154, 19732, 20230, 9039, 13372, 101860, 118821, 127706, 30046, 30512, 121406, 5486, 102078, 59999, 248, 25132, 229, 11883, 106081, 111186, 30512, 11883, 37689, 56051, 9174, 51330, 106081, 111186, 15682, 96356, 17620, 114556, 108826, 103470, 112832, 72661, 101682, 105784, 105908, 103082, 28713, 9174, 51330, 70626, 123680, 102677, 104468, 5486, 80866, 10110, 10718, 21, 21909, 7529, 17, 120732, 113146, 103296, 25359, 106307, 107113, 102131, 103195, 9174, 14711, 75677, 120, 50834, 119400, 16144, 108044, 108323, 198, 17161, 106152, 15682, 59795, 16144, 114172, 102512, 20230, 9039, 43240, 47884, 107991, 6271, 237, 100927, 20230, 101427, 122, 105987, 56051, 105600, 106152, 107809, 72661, 5486, 22023, 30046, 103306, 16144, 44971, 115882, 29295, 66378, 20230, 126574, 115303, 31431, 103351, 19732, 107001, 9174, 103350, 104983, 5486, 49409, 41642, 15682, 6271, 237, 100927, 30512, 78183, 111842, 119375, 121819, 107113, 101200, 109846, 5486, 17161, 106152, 15682, 92776, 25129, 54926, 71289, 5486, 20834, 46729, 44416, 48249, 30512, 114225, 50338, 21418, 15024, 5486, 106613, 105586, 71289, 6271, 237, 66201, 126694, 30369, 111764, 30512, 104736, 109013, 102677, 9174, 13177, 6271, 237, 100927, 16144, 100927, 58942, 10646, 106699, 105647, 16144, 121953, 1811, 102208, 29504, 48154, 110792, 127742, 1811, 13393, 230, 10287, 99, 15682, 99849, 30512, 125636, 100472, 104865, 198, 114387, 108044, 108323, 32977, 101182, 9174, 108553, 16556, 106518, 17129, 103468, 61964, 232, 45144, 227, 29295, 112185, 113261, 16995, 119400, 9174, 110924, 20230, 105487, 110139, 103420, 102677, 103420, 29295, 102321, 33121, 36896, 51330, 124863, 115612, 20230, 104378, 54926, 109215, 107407, 10646, 104309, 19732, 119852, 5486, 103350, 104983, 20230, 115612, 20230, 104378, 56051, 9174, 103350, 16144, 103760, 15682, 5486, 45829, 20230, 38093, 30297, 106592, 108493, 100204, 102204, 101732, 29295, 5486, 101182, 9080, 59739, 119178, 37046, 110020, 20230, 113420, 58942, 32149, 101832, 38144, 5486, 22957, 42891, 27929, 31431, 38093, 76947, 108623, 102532, 64121, 28713, 9174, 112990, 119568, 16144, 103892, 55031, 64936, 29295, 21990, 58942, 5486, 33014, 16325, 29295, 110203, 245, 20230, 117633, 123671, 5486, 103760, 15682, 121602, 102532, 127032, 30512, 107918, 20230, 102936, 103306, 114604, 9174, 110924, 16556, 103420, 29295, 102321, 106824, 103001, 228, 102334, 102677, 9174, 13177, 85701, 16556, 110371, 121240, 36827, 17297, 108167, 29295, 114715, 30250, 227, 104028, 100909, 117084, 103801, 16995, 79721, 111329, 14711, 42579, 229, 17161, 31374, 115, 1811, 105600, 106152, 20230, 106548, 107800, 76739, 123581, 114676, 198, 49409, 41642, 15682, 5486, 14309, 251, 127826, 16144, 61786, 51385, 16144, 102865, 20230, 5486, 61075, 72368, 30512, 22324, 16995, 101732, 29295, 5486, 17161, 106152, 15682, 110924, 20230, 17039, 106624, 110745, 109834, 60174, 102677, 109098, 27384, 26854, 60174, 10110, 19732, 127173, 104028, 113949, 7705, 30512, 123079, 107726, 28713, 9174, 85701, 15682, 112609, 16144, 113146, 102052, 36896, 101544, 51385, 60174, 66383, 107001, 101200, 108176, 9174, 27384, 109834, 60174, 15682, 5486, 101778, 61786, 103664, 21133, 15, 39850, 84477, 33710, 5486, 59563, 49409, 103664, 18670, 15, 39850, 84477, 33710, 102677, 5486, 12870, 226, 16995, 22398, 102663, 64178, 16144, 106391, 67178, 115287, 114420, 9174, 85701, 16144, 123079, 16144, 113160, 49988, 30046, 115287, 19732, 107001, 110164, 17161, 31374, 115, 10110, 14148, 21909, 21018, 119735, 115515, 20230, 13372, 30512, 108618, 17663, 27384, 127178, 46729, 9174, 103031, 15682, 17161, 106152, 16144, 33671, 16144, 101851, 105, 106152, 105352, 106548, 58942, 119568, 16144, 113146, 16144, 107907, 107873, 60174, 16144, 123079, 105352, 97518, 78183, 103836, 102677, 9174, 43511, 105352, 27384, 106045, 54872, 26854, 103768, 103232, 16144, 87447, 102332, 71289, 122603, 102097, 27479, 26854, 53610, 39177, 82420, 16144, 113404, 5486, 127284, 108608, 108881, 31431, 28713, 28713, 64121, 29430, 106496, 113290, 104309, 5486, 112113, 30046, 103306, 16144, 110164, 17161, 31374, 115, 16144, 76739, 70563, 102741, 65575, 15682, 107188, 31431, 127181, 101200, 103195, 9174, 14711, 112362, 105, 123462, 17885, 121, 108327, 1811, 104195, 120195, 28713, 58850, 198, 17161, 106152, 16144, 105600, 34547, 103195, 106063, 123462, 17885, 121, 108327, 10110, 21239, 21909, 20224, 119735, 5486, 10110, 83747, 103470, 107173, 40265, 125344, 75146, 107253, 77181, 7705, 19732, 111243, 104195, 16995, 58850, 115287, 19732, 107001, 9174, 61786, 101523, 237, 10110, 20618, 21909, 20866, 5486, 49409, 41642, 16144, 25580, 96356, 120732, 5486, 13773, 230, 117694, 16144, 45163, 103472, 115287, 106063, 123462, 22023, 10110, 17824, 21909, 23906, 120732, 107571, 16144, 115303, 31431, 103195, 109453, 15682, 5486, 975, 97049, 16144, 126101, 61964, 232, 45144, 227, 19732, 126326, 56051, 9174, 80539, 126326, 16144, 104983, 20230, 5486, 127177, 58850, 19732, 127032, 126694, 110104, 106592, 45918, 241, 110027, 28713, 102677, 9174, 106063, 123462, 17885, 121, 108327, 16144, 80195, 75267, 15682, 5486, 61964, 232, 45144, 227, 29295, 105600, 106152, 104856, 76947, 55031, 32977, 104195, 16995, 110674, 103351, 101200, 16556, 119568, 15682, 51330, 45918, 241, 16995, 30512, 102717, 109416, 108038, 20230, 106154, 33503, 84389, 101732, 102677, 9174, 108064, 72661, 110423, 103984, 16144, 30832, 122291, 102677, 104468, 27384, 102639, 30813, 26854, 87177, 127303, 103950, 32149, 9174, 17161, 106152, 15682, 127637, 103378, 5486, 117694, 37795, 115, 16144, 107571, 19732, 116690, 114792, 100472, 114420, 29295, 106116, 107571, 15682, 91774, 30926, 20230, 108055, 104698, 110731, 9174, 80539, 26854, 107188, 32149, 109834, 103868, 102987, 16995, 104468, 51330, 74482, 103195, 9174, 105600, 106152, 15682, 111179, 95221, 120007, 16144, 107571, 30512, 108055, 56051, 14558, 114556, 39926, 5486, 105600, 34547, 20230, 107188, 31431, 113799, 31431, 114792, 100472, 102131, 109846, 108048, 30512, 28190, 19732, 70141, 126469, 112844, 112442, 95221, 15682, 103470, 114318, 31431, 30591, 58942, 101860, 15682, 106496, 113290, 30512, 20834, 100481, 100472, 114420, 9174, 101200, 54926, 20230, 113799, 76947, 46729, 118158, 114420, 9174, 80539, 108323, 50928, 20230, 104862, 118544, 107441, 105898, 27384, 113524, 105459, 113115, 39926, 36896, 121722, 105600, 106152, 103195, 110115, 5486, 58850, 122485, 111764, 20230, 118765, 66383, 16937, 112624, 30512, 104369, 43514, 17129, 107674, 102677, 9174, 27384, 113524, 16144, 115303, 31431, 15682, 13177, 28713, 32149, 29295, 15120, 122924, 107707, 48154, 108267, 64209, 104309, 30591, 109709, 95221, 20230, 84389, 33541, 26854, 1811, 36827, 17297, 120332, 29295, 27384, 102769, 26854, 31431, 17129, 109954, 10646, 104309, 19732, 108323, 50928, 56051, 29295, 5486, 116414, 16556, 77693, 30512, 104655, 102334, 104865, 5486, 28713, 32149, 29295, 15120, 122924, 17792, 104309, 19732, 25666, 103646, 120266, 91062, 71493, 59739, 16995, 101732, 105600, 34547, 15682, 5486, 123090, 114667, 116825, 107441, 58426, 27384, 113524, 30512, 21388, 107928, 107726, 28713, 102131, 103195, 9174, 567, 113204, 112, 106656, 19732, 107001, 101851, 105, 106152, 198, 14711, 220, 105600, 101402, 121240, 103605, 30512, 17905, 46034, 47884, 127696, 30297, 198, 17161, 106152, 19732, 105600, 34547, 16144, 56965, 102052, 21, 107707, 45829, 29295, 102532, 106116, 101544, 71208, 16144, 61964, 232, 112442, 29295, 119869, 15682, 105600, 101402, 45829, 103306, 121697, 109115, 9174, 80673, 5486, 105600, 34547, 16144, 117332, 162, 66391, 23706, 244, 111571, 16144, 119318, 116310, 15682, 23018, 45829, 105352, 82317, 104127, 102334, 103846, 5486, 109453, 15682, 58850, 120111, 19732, 107624, 106053, 103351, 51330, 101544, 71208, 30512, 115389, 106358, 9174, 66378, 20230, 61964, 232, 112442, 15682, 5486, 103926, 107707, 115303, 31431, 109156, 33121, 104526, 104127, 5486, 117727, 26854, 105600, 101402, 45829, 124769, 30512, 108055, 104698, 56051, 107173, 110731, 9174, 85701, 20230, 105600, 34547, 15682, 107188, 31431, 113799, 100472, 101200, 103195, 9174, 15120, 24273, 16556, 33671, 71208, 103195, 61964, 232, 108285, 15682, 106116, 37795, 247, 20230, 108167, 17701, 100472, 9174, 59739, 109709, 103031, 15682, 5486, 110438, 107118, 121953, 5486, 111482, 113115, 39926, 27869, 111, 101559, 26854, 71208, 30512, 99741, 16995, 5486, 105600, 34547, 20230, 108167, 17701, 100472, 19732, 110731, 9174, 53900, 104503, 5486, 17161, 106152, 113115, 120837, 5486, 89151, 99046, 107, 26854, 110783, 110095, 30512, 64209, 29295, 76622, 5486, 127879, 109115, 102677, 9174, 123470, 61304, 108565, 55031, 78698, 105262, 20230, 110745, 26854, 31431, 31809, 26854, 31431, 77693, 33503, 102052, 102446, 83301, 5486, 102446, 20834, 122291, 106046, 126832, 9174, 80539, 5067, 8107, 119400, 5486, 33671, 71208, 15682, 91774, 30926, 20230, 5486, 101544, 71208, 55031, 105600, 101402, 121240, 103605, 30512, 127696, 30297, 120266, 19653, 56051, 16144, 103351, 9174, 14711, 105913, 58850, 30512, 116348, 30369, 106759, 45829, 83601, 100, 103001, 102, 198, 105600, 34547, 29295, 20224, 116033, 109988, 115737, 100472, 74482, 9174, 101182, 115552, 16556, 5486, 101200, 71289, 47884, 50338, 54322, 103646, 17161, 106152, 15682, 5486, 107322, 105189, 122687, 118741, 105514, 10110, 23411, 21909, 19666, 7705, 19732, 5486, 37729, 105189, 122687, 107139, 94, 105514, 102677, 127862, 107707, 58666, 58850, 30512, 17039, 106624, 103926, 56051, 9174, 80673, 20354, 8107, 9174, 17161, 106152, 32977, 53900, 103429, 16556, 112294, 100472, 126101, 5486, 117382, 55031, 41920, 107707, 58666, 17792, 20230, 30832, 116825, 76622, 101732, 61964, 232, 108285, 15682, 115847, 30512, 53901, 101513, 19732, 91774, 38144, 114318, 31431, 30591, 58942, 101860, 15682, 118741, 105514, 114556, 108826, 30512, 117598, 100472, 9174, 17161, 106152, 15682, 77693, 30512, 53283, 76947, 113799, 31431, 5486, 61964, 232, 108285, 30512 ]
[ 105600, 101402, 45829, 55031, 25766, 225, 102131, 19732, 17663, 33503, 78698, 107800, 114420, 9174, 110229, 29295, 58426, 74482, 5486, 17161, 106152, 15682, 105047, 102625, 9174, 15120, 24273, 5486, 104503, 29295, 102625, 102189, 16144, 19732, 112361, 103309, 20230, 5486, 61964, 232, 108285, 15682, 118741, 105514, 30512, 43568, 22649, 71289, 31431, 121120, 102452, 20230, 104394, 75293, 56051, 102131, 103195, 9174, 112672, 16144, 89753, 33121, 77181, 30591, 103950, 29295, 106116, 74482, 15682, 5486, 107139, 94, 105514, 32977, 61964, 232, 108285, 19732, 103309, 30512, 55999, 20230, 56051, 9174, 102131, 39926, 5486, 123470, 101083, 20230, 5486, 104328, 67645, 16995, 110665, 106656, 103306, 102158, 31431, 120321, 29295, 104028, 101851, 105, 106152, 29295, 102321, 103468, 16144, 103351, 9174, 101851, 105, 106152, 15682, 110665, 106656, 103306, 53283, 125398, 29295, 119568, 30512, 114652, 102473, 103792, 30046, 15682, 106956, 100481, 5486, 123470, 101083, 16144, 37689, 111629, 109904, 107928, 39135, 104309, 107407, 102677, 28542, 77181, 5486, 78183, 111842, 37689, 91774, 29295, 15120, 105260, 54926, 114420, 9174, 14711, 101678, 103768, 103232, 16144, 127178, 118482, 198, 108936, 20230, 115132, 125581, 37087, 33014, 72661, 107188, 31431, 101544, 16995, 101701, 103195, 13177, 101544, 70277, 10646, 71289, 13177, 105310, 103232, 10646, 20230, 30775, 253, 17129, 103468, 119208, 30512, 13177, 105189, 16325, 66383, 112844, 9174, 80539, 105189, 16325, 105755, 5486, 49409, 20230, 13177, 105189, 49409, 10110, 103232, 49409, 66870, 5486, 58911, 127826, 5486, 32943, 124373, 103621, 33710, 94134, 24775, 5486, 70090, 23530, 5486, 36827, 106719, 23530, 7705, 10646, 5486, 101778, 20230, 13177, 105189, 101778, 10110, 58911, 101778, 66870, 5486, 70277, 120329, 66870, 5486, 51385, 118233, 66870, 5486, 27699, 115617, 66870, 5486, 70277, 127826, 5486, 103005, 26892, 66870, 5486, 110666, 23530, 7705, 10646, 5486, 59563, 20230, 13177, 105189, 59563, 10110, 108285, 101778, 66870, 1811, 108285, 61786, 78459, 102756, 16073, 127906, 24775, 1811, 56235, 118583, 7705, 10646, 9174, 77693, 20230, 61786, 102052, 5486, 61786, 49409, 10110, 14309, 251, 127826, 5486, 110631, 90397, 249, 66870, 5486, 103271, 56235, 66870, 5486, 121370, 105140, 18904, 127906, 24775, 121453, 125547, 65299, 25197, 118953, 94134, 24775, 7705, 112031, 61786, 59563, 10110, 64803, 101701, 66870, 5486, 111828, 55139, 66870, 5486, 116169, 118583, 5486, 30358, 118090, 23530, 5486, 78459, 102832, 67075, 94134, 24775, 23954, 43514, 26854, 64121, 20230, 105189, 49409, 105755, 101778, 102052, 5486, 101778, 49409, 10110, 57752, 108777, 70277, 66870, 5486, 104521, 102138, 66870, 5486, 30250, 120, 121370, 66870, 23954, 32977, 101182, 198, 101851, 105, 106152, 15682, 5486, 101544, 70277, 71289, 105310, 103232, 16556, 17620, 64889, 110731, 49409, 19732, 59563, 107809, 105189, 30512, 103721, 233, 104699, 27384, 103768, 103232, 16144, 123079, 118482, 16556, 19361, 13372, 103195, 9174, 80539, 103031, 15682, 110371, 123079, 114556, 39926, 107188, 31431, 118220, 106358, 107173, 84389, 5486, 107188, 31431, 122333, 124911, 102351, 30512, 80172, 17701, 56051, 102131, 103195, 9174, 80539, 107943, 8239, 112, 122502, 117501, 29295, 5486, 102971, 106391, 104328, 67645, 102518, 115789, 119568, 29295, 110665, 106656, 19732, 117952, 104028, 114667, 16144, 115303, 59739, 114420, 9174, 14711, 123318, 121200, 103268, 102687, 16144, 29504, 104680, 198, 37795, 233, 16144, 113146, 9174, 59795, 16144, 101778, 49409, 120332, 5486, 59739, 109709, 103293, 121200, 103268, 102687, 120332, 102052, 36896, 102718, 111587, 10646, 36896, 17039, 108327, 66383, 95604, 29504, 115991, 5486, 53900, 220, 77693, 33503, 110176, 29504, 19732, 16325, 105189, 110792, 56965, 105352, 13177, 45736, 106808, 114758, 66383, 95604, 29504, 122291, 9174, 46091, 125525, 117591, 32335, 32977, 110095, 48634, 29295, 104195, 102518, 19732, 107001, 45736, 106808, 114758, 15682, 5486, 37795, 233, 29295, 116166, 56051, 39177, 5486, 114225, 20230, 33655, 30046, 30512, 37705, 76947, 5486, 103424, 53901, 26854, 116690, 30512, 113638, 102334, 9174, 109846, 5486, 37795, 233, 29295, 59795, 30512, 105156, 15120, 56051, 74482, 15682, 115515, 27479, 15682, 105994, 105459, 32977, 117976, 105838, 116216, 114732, 16144, 111769, 32149, 19732, 109755, 33121, 5486, 110176, 125525, 48915, 39209, 15682, 107188, 31431, 126238, 105714, 56051, 102944, 119012, 9174, 80539, 21856, 116033, 5486, 37795, 233, 15682, 45736, 106808, 114758, 20230, 103472, 30512, 105647, 124955, 107726, 28713, 9174, 80673, 5486, 17161, 106152, 29295, 78183, 111842, 104195, 23039, 56051, 114420, 110371, 110596, 109568, 15682, 113529, 49409, 16556, 105721, 78183, 100472, 101200, 103195, 9174, 58426, 74482, 127862, 31640, 30832, 105600, 106152, 119012, 101851, 105, 106152, 32977, 5486, 28713, 102802, 28713, 102802, 45736, 106808, 114758, 110596, 109568, 30512, 106081, 64121, 28713, 29295, 5486, 30590, 16144, 60632, 15682, 106154, 30369, 45736, 106808, 114758, 110366, 20230, 105693, 9174, 37795, 233, 110366, 15682, 5486, 53900, 28741, 30177, 26854, 116690, 114792, 78699, 19732, 29172, 81742, 32977, 107113, 29295, 122603, 106808, 114758, 15682, 104655, 47884, 108870, 69978, 28713, 104435, 9174, 126843, 56965, 121953, 103470, 5486, 102971, 91077, 15682, 105994, 105459, 30512, 46456, 55487, 119607, 102677, 45163, 37507, 16144, 82420, 55723, 20230, 99750, 109669, 16995, 101732, 105879, 30591, 103950, 9174, 45736, 106808, 114758, 55031, 39926, 64121, 104984, 5486, 63091, 17620, 126027, 29504, 30512, 105994, 126027, 125525, 110674, 106154, 30369, 103846, 102052, 5486, 102669, 16995, 67016, 45893, 15682, 104435, 120900, 19732, 113727, 110071, 9174, 101851, 105, 106152, 15682, 102083, 116285, 120953, 32977, 103031, 15682, 45736, 106808, 114758, 113115, 39926, 26955, 246, 31431, 122291, 114420, 9174, 104328, 47884, 20230, 104328, 124324, 121894, 103351, 104865, 121061, 9174, 19732, 112649, 47884, 103031, 15682, 5486, 21388, 113529, 120837, 21388, 113529, 120837, 62004, 102639, 100604, 16556, 5486, 48634, 49988, 72342, 26854, 117976, 105838, 102669, 106106, 30512, 103721, 108, 31431, 104196, 56051, 9174, 67016, 21105, 251, 33121, 29295, 29504, 30512, 112294, 117063, 38144, 5486, 53900, 70821, 16144, 16937, 112624, 30512, 32977, 127567, 56051, 105272, 19732, 107001, 9174, 14711, 101678, 95543, 108267, 19732, 105600, 106152, 16144, 101790, 99, 62004, 198, 17608, 8107, 119400, 9174, 124625, 108745, 86894, 102, 122731, 30512, 37026, 25666, 54926, 101828, 99741, 64063, 16144, 43167, 108638, 29295, 5486, 107907, 107873, 16144, 60174, 16144, 112772, 102321, 33121, 5486, 37795, 247, 116825, 102532, 103722, 87217, 105459, 55031, 123655, 30512, 127696, 100472, 9174, 85701, 15682, 5486, 123470, 113146, 105352, 39177, 104680, 102321, 104028, 5486, 124625, 108745, 16144, 104989, 122678, 111848, 101083, 74245, 15024, 30512, 30832, 64467, 17663, 36896, 124625, 108745, 100927, 117503, 119869, 16144, 95543, 108267, 115287, 19732, 107001, 9174, 124625, 108745, 100927, 15682, 5486, 30590, 17905, 122692, 22649, 101067, 102616, 16144, 103350, 102321, 30512, 108323, 47884, 9174, 80539, 5486, 36827, 51609, 114475, 107674, 49691, 231, 27384, 26854, 36827, 121240, 20834, 102321, 30512, 108323, 47884, 13177, 10414, 244, 100783, 107, 108323, 66383, 102971, 104127, 3922, 37795, 233, 105755, 23897, 123470, 5486, 106699, 100927, 109904, 95543, 108267, 30512, 114652, 125119, 109768, 47884, 100909, 108176, 9174, 122270, 59563, 74138, 59563, 74138, 10110, 7261, 22, 21909, 6804, 24, 120732, 119400, 102052, 36896, 101828, 105623, 106, 100927, 66383, 95604, 106699, 100927, 102971, 61337, 19732, 40862, 89753, 15024, 5486, 122270, 15120, 27384, 110095, 123457, 13153, 17663, 104466, 32977, 109020, 9174, 27384, 103768, 103232, 118482, 122603, 106808, 114758, 110596, 109568, 123160, 113495, 30512, 104195, 73686, 20230, 105047, 29295, 72342, 28713, 113009, 106116, 15024, 78183, 108385, 72342, 30512, 108895, 104004, 106358, 70821, 127282, 5486, 102208, 30590, 16556, 95543, 108267, 30512, 125119, 17663, 9174, 124625, 108745, 100927, 15682, 15120, 34048, 20230, 120195, 100604, 9174, 122582, 5486, 59795, 37087, 74090, 16556, 9039, 102718, 102944, 95543, 108267, 43167, 108638, 29295, 106007, 224, 72718, 54926, 102677, 5486, 114172, 102512, 107809, 72661, 5486, 43511, 20230, 27452, 104088, 100604, 108680, 45826, 106, 27384, 26854, 102944, 103351, 102677, 9174, 101851, 105, 106152, 32977, 5486, 119869, 15682, 99849, 110162, 119607, 19732, 78698, 107800, 101200, 109846, 108149, 109709, 105352, 95543, 108267, 16144, 106045, 54872, 29295, 119448, 115737, 31431, 120195, 38144, 5486, 32977, 15682, 71289, 104405, 119607, 126758, 106592, 125636, 31431, 5486, 80539, 108870, 30512, 108481, 104699, 102677, 46034, 38574, 117158, 28713, 9174, 21379, 8107, 120264, 55031, 119568, 15682, 110886, 55031, 37689, 111629, 112535, 106627, 106824, 5486, 90620, 104328, 28713, 17663, 33503, 109739, 102802, 127824, 107674, 9174, 109846, 5486, 48915, 34048, 16556, 102321, 103350, 15682, 91875, 50834, 106307, 76622, 5486, 21985, 116033, 119568, 15682, 59739, 119178, 108055, 103646, 9174, 102131, 39926, 37795, 233, 102677, 113146, 32977, 105721, 78183, 100472, 16144, 103351, 1811, 128001, 128000, 2, 34676, 95240, 16786, 22398, 118192, 105404, 11199, 104926, 16786, 112028, 87217, 16144, 101523, 227, 48634, 15682, 44971, 66953, 44971, 26269, 76428, 36785, 106046, 76947, 61689, 29295, 1981, 9174, 16786, 112028, 87217, 16144, 101523, 227, 48634, 15682, 44971, 66953, 44971, 26269, 76428, 36785, 106046, 76947, 61689, 29295, 5486, 47406, 104812, 100, 20230, 108446, 50928, 56051, 121894, 16556, 44971, 66953, 44971, 26269, 76428, 30512, 115856, 105784, 102677, 105104, 30297, 20230, 21105, 103, 16995, 19732, 5486, 114363, 33503, 112997, 29220, 30512, 119448, 47884, 54926, 113702, 121711, 33541, 9174, 44971, 66953, 44971, 26269, 76428, 30512, 76706, 11883, 126693, 5486, 110322, 26955, 254, 35330, 29295, 83747, 100604, 103306, 32977, 111575, 16556, 914, 98406, 102677, 20251, 44971, 65575, 20230, 114099, 104004, 105908, 103082, 5486, 102971, 106391, 26854, 110226, 17701, 32977, 103192, 62004, 33541, 29295, 106116, 15120, 24273, 16556, 112997, 29220, 32977, 45736, 47884, 109020, 105879, 5486, 114652, 78698, 107290, 44971, 66953, 44971, 26269, 76428, 116700, 54926, 105908, 109947, 124490, 38641, 9174, 37046, 29295, 29504, 105755, 125559, 16144, 115191, 16144, 35330, 60632, 29295, 126574, 102677, 105908, 30591, 76947, 5486, 22398, 102756, 103830, 35330, 60632, 29295, 47000, 58318, 107001, 102677, 113334, 38641, 1811, 125559, 16144, 22398, 102756, 103830, 35330, 60632, 19732, 102433, 16144, 22398, 102756, 103830, 35330, 60632, 16144, 104364, 102677, 102944, 29295, 5486, 16786, 117824, 26854, 30297, 19732, 80631, 108, 105262, 22398, 102756, 103830, 35330, 60632, 115717, 33541, 9174, 8673, 19, 30512, 80805, 38248, 121, 115307, 109713, 70563, 72369, 120770, 20230, 76171, 71634, 64178, 39926, 5486, 118823, 20230, 30177, 106307, 107726, 28713, 110674, 105677, 64121, 103470, 91875, 32149, 39926, 33334, 76622, 81219, 5486, 121120, 100934, 39177, 32977, 37087, 38144, 115681, 16556, 16786, 20251, 44971, 65575, 117824, 26854, 76947, 124089, 102677, 113334, 38641, 9174, 16786, 16556, 33655, 126832, 89154, 76428, 104272, 19732, 78244, 61689, 104468, 5486, 46034, 110794, 103087, 35330, 103306, 110322, 26955, 254, 35330, 30512, 40526, 103605, 20230, 37705, 35330, 39926, 5486, 57207, 125057, 89154, 64178, 9458, 120389, 14, 35757, 123160, 33035, 112756, 99695, 39880, 30512, 105525, 107691, 54926, 106592, 64467, 17663, 113334, 38641, 1811, 126738, 48915, 112756, 113838, 35330, 102052, 89154, 76428, 104272, 102677, 113727, 24273, 15682, 48706, 126020, 107515, 9174, 26130, 118146, 43167, 62004, 100934, 123141, 20251, 44971, 65575, 30512, 104873, 112984, 39926, 64121, 104533, 5486, 127177, 16786, 20251, 44971, 117697, 11972, 29295, 78698, 81742, 56051, 36896, 50834, 43514, 127842, 60632, 105576, 125334, 106307, 76622, 100934, 115681, 105525, 107691, 57326, 77750, 32131, 91062, 118587, 119870, 17129, 107290, 115681, 105525, 107691, 29295, 108608, 101200, 101983, 103836, 102944, 29295, 127181, 117840, 9174, 16786, 121960, 15682, 36896, 48915, 112756, 30512, 105525, 30369, 66383, 95604, 100909, 55031, 18655, 73686, 30512, 105335, 84477, 124545, 115789, 88367, 126529, 119627, 110371, 104466, 48915, 112756, 30512, 19361, 54926, 100909, 103470, 13177, 48915, 112756, 30512, 105525, 31431, 42891, 54322, 119432, 121894, 117503, 115789, 36896, 89154, 76428, 104272, 114792, 103836, 66383, 78244, 61689, 9174, 68408, 78983, 44971, 65575, 19732, 78244, 61689, 104468, 5486, 18655, 73686, 111671, 39177, 106145, 55031, 16, 9080, 89154, 76428, 104272, 30512, 19361, 54926, 102677, 20251, 44971, 65575, 30512, 115552, 54926, 102677, 113334, 126194, 5486, 117475, 16144, 110229, 15682, 1569, 106, 123028, 68759, 38248, 109, 67075, 29295, 46034, 106548, 107875, 16995, 107001, 112772, 104662, 111587, 30512, 47406, 35287, 54926, 102677, 20251, 44971, 65575, 16144, 106592, 78244, 61689, 9174, 68408, 102494, 20251, 44971, 65575, 107118, 5486, 114363, 11883, 16144, 33035, 112756, 10110, 124572, 101067, 33035, 112756, 7705, 16556, 20251, 44971, 65575, 20230, 114099, 104004, 106592, 112844, 16144, 38641, 1811, 605, 110743, 104309, 5486, 48154, 105994, 16556, 104662, 109013, 124572, 101067, 103087, 35330, 29295, 17701, 35330, 103646, 68408, 102494, 40526, 103605, 114792, 59739, 105908, 103082, 123213, 87217, 19732, 121019, 124500, 33503, 112179, 121894, 16556, 20251, 44971, 65575, 115541, 108710, 123410, 105908, 88367, 38641, 9174, 89154, 76428, 104272, 107294, 50834, 17129, 39926, 15682, 36896, 107691, 16995, 89154, 76428, 104272, 66383, 13177, 105525, 31431, 89154, 76428, 104272, 117503, 17, 104091, 104770, 107407, 113334, 119627, 110371, 89154, 76428, 104272, 19732, 102782, 78434, 104468, 5486, 105525, 107691, 56051, 110674, 103664, 23187, 21105, 103, 117201, 58426, 121894, 30512, 106307, 76622, 100934, 26130, 17161, 16144, 106592, 115552, 78434, 9174, 20251, 44971, 65575, 20230, 108167, 103214, 104004, 16, 9080, 107809, 16556, 5486, 101399, 109913, 29295, 27384, 111044, 20230, 91875, 47884, 101513, 38093, 104088, 23187, 107436, 18655, 73686, 54926, 102677, 112973, 68408, 78983, 44971, 65575, 126529, 38641, 1811, 22398, 102756, 103830, 110226, 17701, 16144, 122635, 30512, 30832, 105242, 104004, 16144, 126194, 112160, 9080, 102677, 117232, 107809, 16556, 99849, 18904, 32149, 18655, 73686, 30512, 103350, 102923, 15024, 5486, 17905, 124475, 60632, 105576, 30512, 50928, 30369, 102677, 20251, 44971, 65575, 25333, 126529, 38641, 9174, 123141, 20251, 44971, 65575, 19732, 127173, 104028, 102944, 15682, 5486, 4977, 111848, 115681, 105525, 107691, 18655, 73686, 16144, 100909, 116787, 5486, 85707, 62004, 20230, 104662, 109709, 30512, 122074, 39926, 33334, 50834, 108048, 20230, 106608, 100204, 38144, 90962, 84477, 68759 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105600, 101402, 45829, 55031, 25766, 225, 102131, 19732, 17663, 33503, 78698, 107800, 114420, 9174, 110229, 29295, 58426, 74482, 5486, 17161, 106152, 15682, 105047, 102625, 9174, 15120, 24273, 5486, 104503, 29295, 102625, 102189, 16144, 19732, 112361, 103309, 20230, 5486, 61964, 232, 108285, 15682, 118741, 105514, 30512, 43568, 22649, 71289, 31431, 121120, 102452, 20230, 104394, 75293, 56051, 102131, 103195, 9174, 112672, 16144, 89753, 33121, 77181, 30591, 103950, 29295, 106116, 74482, 15682, 5486, 107139, 94, 105514, 32977, 61964, 232, 108285, 19732, 103309, 30512, 55999, 20230, 56051, 9174, 102131, 39926, 5486, 123470, 101083, 20230, 5486, 104328, 67645, 16995, 110665, 106656, 103306, 102158, 31431, 120321, 29295, 104028, 101851, 105, 106152, 29295, 102321, 103468, 16144, 103351, 9174, 101851, 105, 106152, 15682, 110665, 106656, 103306, 53283, 125398, 29295, 119568, 30512, 114652, 102473, 103792, 30046, 15682, 106956, 100481, 5486, 123470, 101083, 16144, 37689, 111629, 109904, 107928, 39135, 104309, 107407, 102677, 28542, 77181, 5486, 78183, 111842, 37689, 91774, 29295, 15120, 105260, 54926, 114420, 9174, 14711, 101678, 103768, 103232, 16144, 127178, 118482, 198, 108936, 20230, 115132, 125581, 37087, 33014, 72661, 107188, 31431, 101544, 16995, 101701, 103195, 13177, 101544, 70277, 10646, 71289, 13177, 105310, 103232, 10646, 20230, 30775, 253, 17129, 103468, 119208, 30512, 13177, 105189, 16325, 66383, 112844, 9174, 80539, 105189, 16325, 105755, 5486, 49409, 20230, 13177, 105189, 49409, 10110, 103232, 49409, 66870, 5486, 58911, 127826, 5486, 32943, 124373, 103621, 33710, 94134, 24775, 5486, 70090, 23530, 5486, 36827, 106719, 23530, 7705, 10646, 5486, 101778, 20230, 13177, 105189, 101778, 10110, 58911, 101778, 66870, 5486, 70277, 120329, 66870, 5486, 51385, 118233, 66870, 5486, 27699, 115617, 66870, 5486, 70277, 127826, 5486, 103005, 26892, 66870, 5486, 110666, 23530, 7705, 10646, 5486, 59563, 20230, 13177, 105189, 59563, 10110, 108285, 101778, 66870, 1811, 108285, 61786, 78459, 102756, 16073, 127906, 24775, 1811, 56235, 118583, 7705, 10646, 9174, 77693, 20230, 61786, 102052, 5486, 61786, 49409, 10110, 14309, 251, 127826, 5486, 110631, 90397, 249, 66870, 5486, 103271, 56235, 66870, 5486, 121370, 105140, 18904, 127906, 24775, 121453, 125547, 65299, 25197, 118953, 94134, 24775, 7705, 112031, 61786, 59563, 10110, 64803, 101701, 66870, 5486, 111828, 55139, 66870, 5486, 116169, 118583, 5486, 30358, 118090, 23530, 5486, 78459, 102832, 67075, 94134, 24775, 23954, 43514, 26854, 64121, 20230, 105189, 49409, 105755, 101778, 102052, 5486, 101778, 49409, 10110, 57752, 108777, 70277, 66870, 5486, 104521, 102138, 66870, 5486, 30250, 120, 121370, 66870, 23954, 32977, 101182, 198, 101851, 105, 106152, 15682, 5486, 101544, 70277, 71289, 105310, 103232, 16556, 17620, 64889, 110731, 49409, 19732, 59563, 107809, 105189, 30512, 103721, 233, 104699, 27384, 103768, 103232, 16144, 123079, 118482, 16556, 19361, 13372, 103195, 9174, 80539, 103031, 15682, 110371, 123079, 114556, 39926, 107188, 31431, 118220, 106358, 107173, 84389, 5486, 107188, 31431, 122333, 124911, 102351, 30512, 80172, 17701, 56051, 102131, 103195, 9174, 80539, 107943, 8239, 112, 122502, 117501, 29295, 5486, 102971, 106391, 104328, 67645, 102518, 115789, 119568, 29295, 110665, 106656, 19732, 117952, 104028, 114667, 16144, 115303, 59739, 114420, 9174, 14711, 123318, 121200, 103268, 102687, 16144, 29504, 104680, 198, 37795, 233, 16144, 113146, 9174, 59795, 16144, 101778, 49409, 120332, 5486, 59739, 109709, 103293, 121200, 103268, 102687, 120332, 102052, 36896, 102718, 111587, 10646, 36896, 17039, 108327, 66383, 95604, 29504, 115991, 5486, 53900, 220, 77693, 33503, 110176, 29504, 19732, 16325, 105189, 110792, 56965, 105352, 13177, 45736, 106808, 114758, 66383, 95604, 29504, 122291, 9174, 46091, 125525, 117591, 32335, 32977, 110095, 48634, 29295, 104195, 102518, 19732, 107001, 45736, 106808, 114758, 15682, 5486, 37795, 233, 29295, 116166, 56051, 39177, 5486, 114225, 20230, 33655, 30046, 30512, 37705, 76947, 5486, 103424, 53901, 26854, 116690, 30512, 113638, 102334, 9174, 109846, 5486, 37795, 233, 29295, 59795, 30512, 105156, 15120, 56051, 74482, 15682, 115515, 27479, 15682, 105994, 105459, 32977, 117976, 105838, 116216, 114732, 16144, 111769, 32149, 19732, 109755, 33121, 5486, 110176, 125525, 48915, 39209, 15682, 107188, 31431, 126238, 105714, 56051, 102944, 119012, 9174, 80539, 21856, 116033, 5486, 37795, 233, 15682, 45736, 106808, 114758, 20230, 103472, 30512, 105647, 124955, 107726, 28713, 9174, 80673, 5486, 17161, 106152, 29295, 78183, 111842, 104195, 23039, 56051, 114420, 110371, 110596, 109568, 15682, 113529, 49409, 16556, 105721, 78183, 100472, 101200, 103195, 9174, 58426, 74482, 127862, 31640, 30832, 105600, 106152, 119012, 101851, 105, 106152, 32977, 5486, 28713, 102802, 28713, 102802, 45736, 106808, 114758, 110596, 109568, 30512, 106081, 64121, 28713, 29295, 5486, 30590, 16144, 60632, 15682, 106154, 30369, 45736, 106808, 114758, 110366, 20230, 105693, 9174, 37795, 233, 110366, 15682, 5486, 53900, 28741, 30177, 26854, 116690, 114792, 78699, 19732, 29172, 81742, 32977, 107113, 29295, 122603, 106808, 114758, 15682, 104655, 47884, 108870, 69978, 28713, 104435, 9174, 126843, 56965, 121953, 103470, 5486, 102971, 91077, 15682, 105994, 105459, 30512, 46456, 55487, 119607, 102677, 45163, 37507, 16144, 82420, 55723, 20230, 99750, 109669, 16995, 101732, 105879, 30591, 103950, 9174, 45736, 106808, 114758, 55031, 39926, 64121, 104984, 5486, 63091, 17620, 126027, 29504, 30512, 105994, 126027, 125525, 110674, 106154, 30369, 103846, 102052, 5486, 102669, 16995, 67016, 45893, 15682, 104435, 120900, 19732, 113727, 110071, 9174, 101851, 105, 106152, 15682, 102083, 116285, 120953, 32977, 103031, 15682, 45736, 106808, 114758, 113115, 39926, 26955, 246, 31431, 122291, 114420, 9174, 104328, 47884, 20230, 104328, 124324, 121894, 103351, 104865, 121061, 9174, 19732, 112649, 47884, 103031, 15682, 5486, 21388, 113529, 120837, 21388, 113529, 120837, 62004, 102639, 100604, 16556, 5486, 48634, 49988, 72342, 26854, 117976, 105838, 102669, 106106, 30512, 103721, 108, 31431, 104196, 56051, 9174, 67016, 21105, 251, 33121, 29295, 29504, 30512, 112294, 117063, 38144, 5486, 53900, 70821, 16144, 16937, 112624, 30512, 32977, 127567, 56051, 105272, 19732, 107001, 9174, 14711, 101678, 95543, 108267, 19732, 105600, 106152, 16144, 101790, 99, 62004, 198, 17608, 8107, 119400, 9174, 124625, 108745, 86894, 102, 122731, 30512, 37026, 25666, 54926, 101828, 99741, 64063, 16144, 43167, 108638, 29295, 5486, 107907, 107873, 16144, 60174, 16144, 112772, 102321, 33121, 5486, 37795, 247, 116825, 102532, 103722, 87217, 105459, 55031, 123655, 30512, 127696, 100472, 9174, 85701, 15682, 5486, 123470, 113146, 105352, 39177, 104680, 102321, 104028, 5486, 124625, 108745, 16144, 104989, 122678, 111848, 101083, 74245, 15024, 30512, 30832, 64467, 17663, 36896, 124625, 108745, 100927, 117503, 119869, 16144, 95543, 108267, 115287, 19732, 107001, 9174, 124625, 108745, 100927, 15682, 5486, 30590, 17905, 122692, 22649, 101067, 102616, 16144, 103350, 102321, 30512, 108323, 47884, 9174, 80539, 5486, 36827, 51609, 114475, 107674, 49691, 231, 27384, 26854, 36827, 121240, 20834, 102321, 30512, 108323, 47884, 13177, 10414, 244, 100783, 107, 108323, 66383, 102971, 104127, 3922, 37795, 233, 105755, 23897, 123470, 5486, 106699, 100927, 109904, 95543, 108267, 30512, 114652, 125119, 109768, 47884, 100909, 108176, 9174, 122270, 59563, 74138, 59563, 74138, 10110, 7261, 22, 21909, 6804, 24, 120732, 119400, 102052, 36896, 101828, 105623, 106, 100927, 66383, 95604, 106699, 100927, 102971, 61337, 19732, 40862, 89753, 15024, 5486, 122270, 15120, 27384, 110095, 123457, 13153, 17663, 104466, 32977, 109020, 9174, 27384, 103768, 103232, 118482, 122603, 106808, 114758, 110596, 109568, 123160, 113495, 30512, 104195, 73686, 20230, 105047, 29295, 72342, 28713, 113009, 106116, 15024, 78183, 108385, 72342, 30512, 108895, 104004, 106358, 70821, 127282, 5486, 102208, 30590, 16556, 95543, 108267, 30512, 125119, 17663, 9174, 124625, 108745, 100927, 15682, 15120, 34048, 20230, 120195, 100604, 9174, 122582, 5486, 59795, 37087, 74090, 16556, 9039, 102718, 102944, 95543, 108267, 43167, 108638, 29295, 106007, 224, 72718, 54926, 102677, 5486, 114172, 102512, 107809, 72661, 5486, 43511, 20230, 27452, 104088, 100604, 108680, 45826, 106, 27384, 26854, 102944, 103351, 102677, 9174, 101851, 105, 106152, 32977, 5486, 119869, 15682, 99849, 110162, 119607, 19732, 78698, 107800, 101200, 109846, 108149, 109709, 105352, 95543, 108267, 16144, 106045, 54872, 29295, 119448, 115737, 31431, 120195, 38144, 5486, 32977, 15682, 71289, 104405, 119607, 126758, 106592, 125636, 31431, 5486, 80539, 108870, 30512, 108481, 104699, 102677, 46034, 38574, 117158, 28713, 9174, 21379, 8107, 120264, 55031, 119568, 15682, 110886, 55031, 37689, 111629, 112535, 106627, 106824, 5486, 90620, 104328, 28713, 17663, 33503, 109739, 102802, 127824, 107674, 9174, 109846, 5486, 48915, 34048, 16556, 102321, 103350, 15682, 91875, 50834, 106307, 76622, 5486, 21985, 116033, 119568, 15682, 59739, 119178, 108055, 103646, 9174, 102131, 39926, 37795, 233, 102677, 113146, 32977, 105721, 78183, 100472, 16144, 103351, 1811, 128001, 128000, 2, 34676, 95240, 16786, 22398, 118192, 105404, 11199, 104926, 16786, 112028, 87217, 16144, 101523, 227, 48634, 15682, 44971, 66953, 44971, 26269, 76428, 36785, 106046, 76947, 61689, 29295, 1981, 9174, 16786, 112028, 87217, 16144, 101523, 227, 48634, 15682, 44971, 66953, 44971, 26269, 76428, 36785, 106046, 76947, 61689, 29295, 5486, 47406, 104812, 100, 20230, 108446, 50928, 56051, 121894, 16556, 44971, 66953, 44971, 26269, 76428, 30512, 115856, 105784, 102677, 105104, 30297, 20230, 21105, 103, 16995, 19732, 5486, 114363, 33503, 112997, 29220, 30512, 119448, 47884, 54926, 113702, 121711, 33541, 9174, 44971, 66953, 44971, 26269, 76428, 30512, 76706, 11883, 126693, 5486, 110322, 26955, 254, 35330, 29295, 83747, 100604, 103306, 32977, 111575, 16556, 914, 98406, 102677, 20251, 44971, 65575, 20230, 114099, 104004, 105908, 103082, 5486, 102971, 106391, 26854, 110226, 17701, 32977, 103192, 62004, 33541, 29295, 106116, 15120, 24273, 16556, 112997, 29220, 32977, 45736, 47884, 109020, 105879, 5486, 114652, 78698, 107290, 44971, 66953, 44971, 26269, 76428, 116700, 54926, 105908, 109947, 124490, 38641, 9174, 37046, 29295, 29504, 105755, 125559, 16144, 115191, 16144, 35330, 60632, 29295, 126574, 102677, 105908, 30591, 76947, 5486, 22398, 102756, 103830, 35330, 60632, 29295, 47000, 58318, 107001, 102677, 113334, 38641, 1811, 125559, 16144, 22398, 102756, 103830, 35330, 60632, 19732, 102433, 16144, 22398, 102756, 103830, 35330, 60632, 16144, 104364, 102677, 102944, 29295, 5486, 16786, 117824, 26854, 30297, 19732, 80631, 108, 105262, 22398, 102756, 103830, 35330, 60632, 115717, 33541, 9174, 8673, 19, 30512, 80805, 38248, 121, 115307, 109713, 70563, 72369, 120770, 20230, 76171, 71634, 64178, 39926, 5486, 118823, 20230, 30177, 106307, 107726, 28713, 110674, 105677, 64121, 103470, 91875, 32149, 39926, 33334, 76622, 81219, 5486, 121120, 100934, 39177, 32977, 37087, 38144, 115681, 16556, 16786, 20251, 44971, 65575, 117824, 26854, 76947, 124089, 102677, 113334, 38641, 9174, 16786, 16556, 33655, 126832, 89154, 76428, 104272, 19732, 78244, 61689, 104468, 5486, 46034, 110794, 103087, 35330, 103306, 110322, 26955, 254, 35330, 30512, 40526, 103605, 20230, 37705, 35330, 39926, 5486, 57207, 125057, 89154, 64178, 9458, 120389, 14, 35757, 123160, 33035, 112756, 99695, 39880, 30512, 105525, 107691, 54926, 106592, 64467, 17663, 113334, 38641, 1811, 126738, 48915, 112756, 113838, 35330, 102052, 89154, 76428, 104272, 102677, 113727, 24273, 15682, 48706, 126020, 107515, 9174, 26130, 118146, 43167, 62004, 100934, 123141, 20251, 44971, 65575, 30512, 104873, 112984, 39926, 64121, 104533, 5486, 127177, 16786, 20251, 44971, 117697, 11972, 29295, 78698, 81742, 56051, 36896, 50834, 43514, 127842, 60632, 105576, 125334, 106307, 76622, 100934, 115681, 105525, 107691, 57326, 77750, 32131, 91062, 118587, 119870, 17129, 107290, 115681, 105525, 107691, 29295, 108608, 101200, 101983, 103836, 102944, 29295, 127181, 117840, 9174, 16786, 121960, 15682, 36896, 48915, 112756, 30512, 105525, 30369, 66383, 95604, 100909, 55031, 18655, 73686, 30512, 105335, 84477, 124545, 115789, 88367, 126529, 119627, 110371, 104466, 48915, 112756, 30512, 19361, 54926, 100909, 103470, 13177, 48915, 112756, 30512, 105525, 31431, 42891, 54322, 119432, 121894, 117503, 115789, 36896, 89154, 76428, 104272, 114792, 103836, 66383, 78244, 61689, 9174, 68408, 78983, 44971, 65575, 19732, 78244, 61689, 104468, 5486, 18655, 73686, 111671, 39177, 106145, 55031, 16, 9080, 89154, 76428, 104272, 30512, 19361, 54926, 102677, 20251, 44971, 65575, 30512, 115552, 54926, 102677, 113334, 126194, 5486, 117475, 16144, 110229, 15682, 1569, 106, 123028, 68759, 38248, 109, 67075, 29295, 46034, 106548, 107875, 16995, 107001, 112772, 104662, 111587, 30512, 47406, 35287, 54926, 102677, 20251, 44971, 65575, 16144, 106592, 78244, 61689, 9174, 68408, 102494, 20251, 44971, 65575, 107118, 5486, 114363, 11883, 16144, 33035, 112756, 10110, 124572, 101067, 33035, 112756, 7705, 16556, 20251, 44971, 65575, 20230, 114099, 104004, 106592, 112844, 16144, 38641, 1811, 605, 110743, 104309, 5486, 48154, 105994, 16556, 104662, 109013, 124572, 101067, 103087, 35330, 29295, 17701, 35330, 103646, 68408, 102494, 40526, 103605, 114792, 59739, 105908, 103082, 123213, 87217, 19732, 121019, 124500, 33503, 112179, 121894, 16556, 20251, 44971, 65575, 115541, 108710, 123410, 105908, 88367, 38641, 9174, 89154, 76428, 104272, 107294, 50834, 17129, 39926, 15682, 36896, 107691, 16995, 89154, 76428, 104272, 66383, 13177, 105525, 31431, 89154, 76428, 104272, 117503, 17, 104091, 104770, 107407, 113334, 119627, 110371, 89154, 76428, 104272, 19732, 102782, 78434, 104468, 5486, 105525, 107691, 56051, 110674, 103664, 23187, 21105, 103, 117201, 58426, 121894, 30512, 106307, 76622, 100934, 26130, 17161, 16144, 106592, 115552, 78434, 9174, 20251, 44971, 65575, 20230, 108167, 103214, 104004, 16, 9080, 107809, 16556, 5486, 101399, 109913, 29295, 27384, 111044, 20230, 91875, 47884, 101513, 38093, 104088, 23187, 107436, 18655, 73686, 54926, 102677, 112973, 68408, 78983, 44971, 65575, 126529, 38641, 1811, 22398, 102756, 103830, 110226, 17701, 16144, 122635, 30512, 30832, 105242, 104004, 16144, 126194, 112160, 9080, 102677, 117232, 107809, 16556, 99849, 18904, 32149, 18655, 73686, 30512, 103350, 102923, 15024, 5486, 17905, 124475, 60632, 105576, 30512, 50928, 30369, 102677, 20251, 44971, 65575, 25333, 126529, 38641, 9174, 123141, 20251, 44971, 65575, 19732, 127173, 104028, 102944, 15682, 5486, 4977, 111848, 115681, 105525, 107691, 18655, 73686, 16144, 100909, 116787, 5486, 85707, 62004, 20230, 104662, 109709, 30512, 122074, 39926, 33334, 50834, 108048, 20230, 106608, 100204, 38144, 90962, 84477, 68759 ]
[ 78459, 115145, 20230, 105525, 107691, 30512, 105721, 35287, 54926, 102677, 18655, 73686, 38641, 9174, 22398, 107391, 33710, 70563, 94550, 105525, 107691, 41007, 15682, 5486, 67645, 120240, 32149, 19732, 112844, 19732, 91774, 33035, 15024, 30512, 121697, 126172, 16995, 16325, 101544, 23538, 16144, 106613, 111587, 64467, 105888, 104309, 15682, 43568, 103984, 30512, 39926, 5486, 106483, 64936, 16144, 102669, 16995, 30512, 92776, 126120, 16556, 5486, 32149, 59739, 82533, 62004, 67645, 103470, 71289, 31431, 106307, 105784, 102677, 105933, 102944, 111769, 123253, 32149, 95532, 44971, 66953, 44971, 26269, 76428, 102677, 104468, 5486, 108446, 47000, 56051, 110322, 26955, 254, 35330, 30512, 24186, 116446, 5486, 112366, 58426, 35330, 109518, 16144, 914, 98406, 16144, 13177, 105525, 31431, 107691, 16995, 10646, 29295, 88367, 103195, 102677, 106548, 103214, 64121, 16144, 106592, 78244, 61689, 115397, 27452, 30512, 122765, 33541, 19732, 5486, 1135, 110743, 16144, 110322, 26955, 254, 35330, 72661, 76947, 508, 98406, 16144, 44971, 66953, 44971, 26269, 76428, 119707, 76622, 104533, 78434, 19732, 5486, 1041, 15, 110743, 102944, 108167, 113801, 29295, 108608, 102677, 113334, 38641, 9174, 13177, 68408, 102494, 20251, 44971, 65575, 117824, 26854, 76947, 64121, 38144, 110226, 105576, 30512, 119448, 47884, 122765, 30369, 105908, 103082, 28713, 10646, 55031, 19732, 120267, 17129, 120837, 5486, 104612, 33710, 26854, 104612, 108958, 44971, 65575, 16556, 110226, 105576, 30512, 20834, 122101, 32149, 104405, 32149, 15682, 78183, 107277, 107515, 1811, 68408, 102494, 20251, 44971, 65575, 16144, 126513, 5486, 37656, 74245, 119852, 101310, 107, 105465, 99750, 112854, 16556, 125338, 103801, 16995, 29295, 43514, 38641, 9174, 7424, 55, 128001, 128000, 2, 94632, 96452, 47307, 29295, 118220, 31431, 71289, 127408, 20230, 124364, 126832, 114667, 19732, 108048, 30512, 50338, 104662, 54926, 124122, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 198, 112073, 117940, 5486, 118220, 31431, 71289, 127408, 5486, 109755, 119467, 19732, 115791, 13177, 102750, 102472, 103906, 52884, 10646, 26854, 120208, 115717, 126172, 16995, 112130, 95532, 67645, 103171, 20230, 89154, 76428, 103906, 52884, 57207, 16073, 119557, 26854, 17792, 72661, 112160, 27479, 15682, 91763, 100472, 105908, 101182, 106046, 61689, 9174, 77181, 5486, 67645, 103171, 126101, 118220, 31431, 71289, 127408, 29295, 37507, 30369, 104865, 78698, 107800, 109335, 57903, 33541, 32149, 95532, 80539, 5486, 67645, 103171, 126101, 50338, 104662, 54926, 103899, 58942, 125334, 104533, 91763, 61689, 32149, 95532, 37271, 18904, 15682, 5486, 107943, 118220, 31431, 71289, 127408, 55031, 113487, 76622, 20834, 39926, 50338, 104662, 54926, 41007, 103306, 16144, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 109853, 48154, 126362, 78434, 9174, 14711, 105656, 99, 31431, 71289, 127408, 20230, 124364, 126832, 110018, 198, 126843, 15682, 5486, 118220, 31431, 71289, 127408, 29295, 37507, 30369, 125344, 39850, 71493, 78683, 78525, 91062, 109853, 33334, 87177, 15024, 78434, 9174, 27452, 116285, 90578, 13177, 966, 31640, 109156, 76947, 41642, 31431, 15682, 126326, 39926, 106515, 72342, 120550, 110115, 115408, 15682, 103031, 105514, 32977, 16995, 103470, 38144, 118220, 30369, 111329, 13177, 80631, 107, 35330, 29295, 43568, 47884, 38144, 92877, 74482, 29295, 127408, 111329, 13177, 117876, 29295, 51330, 99695, 61398, 118816, 108446, 23538, 103296, 20230, 122756, 40862, 16995, 102131, 101983, 47884, 38144, 115924, 103192, 9554, 36785, 111329, 107943, 126101, 5486, 118220, 31431, 71289, 127408, 20230, 124364, 126832, 100909, 106046, 61689, 9174, 118220, 31431, 71289, 127408, 5486, 115924, 103192, 99750, 104309, 20230, 124364, 126832, 110018, 15682, 5486, 37689, 109375, 15682, 13177, 37271, 10646, 126194, 13177, 120987, 10646, 109853, 113727, 100934, 105908, 127181, 38641, 9174, 27452, 116285, 126326, 16144, 27452, 118816, 115408, 15682, 85701, 55031, 102677, 120987, 32977, 122485, 16556, 107991, 32149, 121061, 105879, 118220, 76947, 61689, 101832, 9174, 80539, 5486, 80631, 107, 35330, 29295, 43568, 47884, 38144, 92877, 74482, 29295, 64209, 55487, 102677, 123017, 5486, 92877, 74482, 102677, 120987, 20230, 104654, 103082, 100481, 105784, 116421, 64209, 55487, 30512, 127145, 9174, 117876, 114556, 120837, 115847, 55031, 99849, 9080, 32149, 5486, 32977, 106624, 15682, 99849, 111299, 56965, 32149, 61826, 16144, 120987, 16144, 117876, 29295, 105721, 78183, 76947, 43568, 30926, 20230, 108446, 62004, 100934, 32149, 64209, 55487, 30512, 127145, 101832, 9174, 102131, 105321, 38641, 9174, 118220, 30369, 39177, 71289, 127408, 20230, 91763, 30297, 39177, 15682, 5486, 114640, 29295, 44620, 120987, 36761, 121254, 119188, 16144, 38641, 9174, 80539, 108048, 19732, 115963, 20230, 13177, 108895, 16556, 103470, 38144, 112987, 124324, 59712, 108895, 16556, 100604, 19732, 103424, 47884, 100604, 66383, 95604, 76739, 103621, 16144, 116875, 108324, 29295, 122502, 119188, 105908, 43240, 117714, 38641, 9174, 76739, 103621, 16144, 116875, 108324, 15682, 5486, 119100, 19000, 37689, 109375, 107809, 20230, 102532, 37271, 103296, 123726, 38144, 105898, 30297, 58942, 16556, 114601, 31431, 104526, 17129, 103468, 95001, 112603, 114181, 71289, 106613, 111186, 113468, 53283, 121140, 53283, 121140, 16144, 117591, 20230, 109178, 58942, 122382, 124195, 105898, 113727, 24273, 9174, 27452, 116285, 36896, 102667, 30512, 20834, 38144, 81258, 107430, 54926, 112973, 126521, 59712, 126326, 126198, 24273, 29295, 106515, 72342, 36785, 66383, 95604, 105933, 113727, 24273, 9174, 37689, 109375, 29295, 120987, 121254, 16995, 100481, 38144, 5486, 76739, 103621, 16144, 116875, 108324, 29295, 122502, 102334, 126101, 116537, 13177, 118220, 31431, 10646, 71289, 13177, 127408, 118587, 112391, 30369, 41642, 103682, 9039, 108176, 16144, 38641, 9174, 14711, 116564, 30512, 112391, 38144, 116875, 108324, 30512, 46034, 54322, 17663, 19732, 50338, 104662, 54926, 198, 77181, 5486, 118220, 31431, 71289, 127408, 15682, 67645, 119775, 39926, 50338, 104662, 54926, 105879, 109954, 32149, 95532, 20713, 59739, 30832, 15682, 13177, 37271, 118587, 112391, 30369, 100909, 36896, 37271, 118587, 37689, 109375, 54926, 100909, 38641, 9174, 61826, 108680, 16144, 126326, 16144, 27452, 30512, 18655, 104533, 108149, 112568, 15682, 13177, 37271, 10646, 106515, 72342, 112130, 95532, 103031, 105514, 125001, 103470, 111243, 115515, 105994, 29295, 107063, 100, 103468, 33334, 117876, 30512, 39926, 102532, 5486, 98915, 104067, 32977, 71208, 58850, 116690, 103470, 121771, 98369, 107991, 9174, 122013, 116690, 32977, 103424, 53901, 16556, 5486, 107430, 75267, 117501, 32977, 111575, 9174, 36785, 114267, 33503, 36896, 37271, 10646, 20230, 99849, 32977, 109606, 120937, 116497, 38641, 9174, 92877, 74482, 120885, 123334, 76947, 109749, 32149, 17620, 107277, 107515, 9174, 80539, 5486, 32977, 67016, 39926, 30591, 112568, 29295, 92877, 74482, 30512, 109169, 58942, 104533, 50834, 102052, 37271, 107118, 108010, 30297, 106222, 123141, 101983, 103836, 32149, 110241, 33121, 107515, 9174, 37271, 5486, 80631, 107, 35330, 29295, 43568, 102518, 103306, 32977, 64209, 119515, 111201, 104654, 29295, 103082, 101732, 33503, 77693, 16556, 104712, 16144, 38641, 9174, 25963, 59739, 30832, 15682, 13177, 76739, 103621, 16144, 116875, 108324, 30512, 46034, 54322, 17663, 66383, 95604, 100909, 38641, 9174, 86127, 127282, 114300, 106106, 106222, 16556, 123726, 38144, 105898, 5486, 80539, 37271, 32977, 112599, 116748, 83799, 16556, 123726, 100934, 17792, 32977, 121771, 98369, 107991, 118733, 109954, 9174, 38641, 55031, 5486, 112832, 32149, 126036, 106241, 16556, 100934, 120266, 104622, 104087, 99750, 30512, 112391, 5486, 41642, 31431, 105755, 8239, 96, 103836, 100909, 113115, 39926, 8239, 96, 50667, 99750, 30512, 112391, 115926, 15682, 103801, 72342, 25827, 32149, 95532, 77693, 32977, 5486, 103350, 15682, 76739, 103621, 16144, 116875, 108324, 126529, 38641, 9174, 30591, 112568, 15682, 108149, 112568, 9174, 116537, 17792, 9174, 112832, 107173, 125261, 54926, 109215, 114016, 100604, 16144, 38641, 9174, 121953, 120195, 38144, 125261, 114016, 118765, 16144, 38641, 9174, 53900, 5486, 105994, 29295, 80988, 239, 26854, 20230, 21105, 234, 64121, 59739, 119188, 113727, 122291, 33503, 5486, 108031, 127637, 105994, 16556, 78698, 107290, 64121, 17129, 109954, 9174, 58426, 113727, 24273, 15682, 126920, 30591, 112568, 20230, 109215, 123253, 32149, 95532, 126920, 30591, 112568, 116907, 29295, 102131, 91763, 103836, 113727, 24273, 123253, 32149, 95532, 110241, 108048, 29295, 30591, 112568, 16144, 95001, 112603, 114181, 16556, 123207, 117355, 71289, 111201, 46034, 54322, 109768, 50834, 17129, 109954, 9174, 51330, 17, 59739, 29295, 108608, 101200, 101983, 104533, 115515, 103296, 109606, 36785, 106046, 106358, 102944, 29295, 109683, 19732, 109606, 16556, 123733, 31431, 33541, 9174, 32977, 106624, 15682, 5486, 109606, 30512, 50338, 104662, 54926, 111090, 125380, 71289, 76171, 22398, 70563, 44971, 38248, 115, 78205, 16073, 29295, 5486, 36785, 102189, 127842, 85300, 100, 102532, 109749, 101200, 108176, 32149, 32977, 9174, 67645, 112384, 20230, 72342, 57980, 115515, 30591, 112568, 116907, 16144, 116875, 108324, 30512, 46034, 54322, 17663, 105908, 103082, 104984, 5486, 50338, 104662, 16144, 41642, 103682, 9039, 108176, 16144, 38641, 9174, 14711, 108575, 114, 110993, 16144, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 198, 13177, 37271, 10646, 110382, 20230, 107991, 106592, 112391, 30369, 106592, 13177, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 66383, 78244, 61689, 9174, 102012, 110993, 16144, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 15682, 5486, 101860, 81219, 31431, 104921, 239, 101067, 54926, 100909, 38641, 9174, 44620, 104921, 239, 101067, 36761, 15682, 115364, 32943, 110366, 20230, 37689, 109375, 30512, 70141, 105784, 105908, 125545, 9174, 80539, 36896, 37271, 10646, 51330, 75267, 20230, 107991, 115364, 106592, 105755, 114652, 112391, 38144, 37689, 109375, 54926, 105908, 108608, 16144, 38641, 9174, 118220, 31431, 71289, 127408, 71289, 109755, 119467, 104309, 116898, 78183, 106644, 30369, 102750, 102472, 103906, 52884, 26854, 125641, 125334, 38144, 47884, 104533, 50834, 15682, 30591, 112568, 15682, 32943, 109020, 105994, 19732, 108010, 30297, 112169, 30512, 70141, 119188, 39177, 38641, 9174, 51330, 127960, 17905, 16144, 109832, 31431, 118158, 102616, 20230, 67645, 108005, 115, 31431, 124629, 104526, 104127, 103801, 103836, 39177, 126529, 38641, 9174, 104921, 239, 101067, 15682, 106116, 127960, 113245, 102616, 109156, 31431, 104526, 104127, 118220, 31431, 71289, 127408, 30512, 112391, 30369, 16144, 102750, 102472, 103906, 52884, 26854, 41642, 103682, 9039, 55031, 5486, 11743, 107, 104921, 108, 56051, 118331, 84477, 32131, 33710, 26854, 41642, 103682, 9039, 102416, 104721, 107290, 120700, 33541, 9174, 118146, 119962, 100204, 38144, 48915, 16144, 102616, 16144, 108134, 30512, 105988, 67075, 99959, 115691, 15024, 5486, 102987, 105324, 107246, 30512, 39926, 105994, 112197, 113351, 30591, 115926, 109156, 76947, 109749, 104622, 102800, 105324, 107246, 20230, 120766, 103801, 109954, 9174, 127091, 113727, 29295, 111179, 32149, 25827, 103082, 111243, 5486, 110924, 102416, 124629, 104526, 126843, 90620, 90620, 11743, 107, 104921, 108, 39926, 89753, 109768, 50834, 17129, 109954, 9174, 19732, 112649, 47884, 115364, 32943, 110366, 20230, 120766, 54926, 9174, 77693, 103378, 38641, 9174, 112990, 5486, 76739, 103621, 16144, 116875, 108324, 30512, 46034, 54322, 17663, 105908, 103082, 5486, 120208, 29295, 33354, 237, 71289, 111201, 118331, 84477, 32131, 33710, 101983, 107462, 47884, 112973, 17620, 107277, 33541, 9174, 77693, 29295, 50338, 104662, 16144, 41642, 103682, 9039, 38641, 9174, 53953, 30926, 20230, 126521, 109161, 16995, 15682, 43568, 16995, 9174, 90620, 77693, 29295, 72718, 50834, 100934, 103378, 9174, 102131, 118331, 84477, 32131, 33710, 20230, 53953, 30926, 104088, 110071, 101200, 115717, 33541, 9174, 51330, 37823, 32131, 107840, 39926, 120208, 30512, 37823, 109753, 54926, 82973, 30512, 18655, 30369, 105908, 5486, 118220, 31431, 71289, 127408, 30512, 46034, 54322, 17663, 103846, 102052, 19732, 111243, 27384, 102769, 38641, 9174, 113136, 120379, 32977, 120208, 30512, 37823, 109753, 54926, 82973, 38641, 9174, 103424, 47884, 13177, 105104, 38144, 121120, 66383, 78244, 61689, 29295, 108149, 33121, 32977, 115552, 29295, 30591, 76947, 16144, 123120, 126529, 38641, 9174, 14711, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 32149, 95532, 37271, 18904, 15682, 127359, 76171, 45923, 52591, 33710, 102750, 22398, 109853, 33334, 108044, 58942, 39926, 50834, 79721, 9174, 127408, 71289, 118220, 31431, 15682, 43240, 32149, 33121, 83747, 26854, 32149, 33121, 112832, 20230, 72661, 57903, 33541, 9174, 80539, 5486, 109215, 71689, 20230, 102750, 102472, 103906, 52884, 26854, 125641, 30512, 112391, 100934, 105994, 20230, 95221, 109669, 50834, 108031, 46034, 54322, 56051, 16995, 26854, 106046, 100472, 33503, 5486, 112371, 104328, 13177, 37271, 110382, 20230, 107991, 105994, 118587, 112391, 38144, 64121, 38144, 72315, 9174, 50834, 104043, 119515, 32149, 30813, 30512, 112391, 30369, 118733, 109954, 9174, 32977, 67016, 127564, 115515, 113614, 20230, 123726, 100481, 110071, 120266, 99750, 118835, 29295, 85300, 100, 50834, 20834, 38144, 109749, 32149, 110241, 33121, 107515, 9174, 30591, 112568, 16144, 64209, 20230, 5486, 50211, 33354, 237, 29295, 120824, 33121, 33541, 104466, 90578, 20251, 118359, 66953, 48552, 15682, 107740, 103082, 107515, 9174, 51330, 77219, 111363, 90178, 15682, 124897, 1811, 128001, 128000, 21124, 15682, 121453, 102800, 101513, 109472, 48864, 108710, 112113, 30512, 107740, 39926, 116581, 109421, 84264, 238, 75293, 33710, 64178, 20230, 108010, 95543, 103792, 22440, 32307, 16144, 47260, 108304, 119495, 30512, 21403, 232, 21418, 56051, 19732, 125053, 56051, 9174, 21124, 16144, 62804, 606, 17200, 105514, 15682, 5486, 52884, 77750, 77219, 16556, 44620, 103188, 86436, 16, 8107, 122756, 122401, 84389, 5486, 103350, 99741, 103646, 17039, 102800, 15836, 19732, 101513, 109472, 48864, 108710, 112113, 112212, 5486, 108152, 38248, 114, 11972, 117758, 120270, 114475, 105784, 112772, 5486, 108010, 95543, 20230, 109638, 40265, 54926, 1484, 113127, 16144, 77219, 30512, 21403, 232, 21418, 56051, 36761, 19732, 102158, 100472, 9174, 80673, 110371, 112113, 15682, 108038, 126194, 5486, 43240, 119064, 106759, 55031, 13177, 127032, 16144, 43568, 104698, 26854, 117039, 29295, 21403, 232, 21418, 110731, 66383, 95604, 126014, 58942, 125334, 100934, 9174, 97284, 105514, 15682, 13177, 84264, 238, 75293, 16144, 125396, 104088, 103188, 48154, 17663, 105908, 100604, 104466, 112160, 91774, 107873, 95221, 111769, 104466, 91774, 105262, 104346, 123296, 117255, 84844, 126027, 117039, 123160, 5486, 66776, 64810, 29220, 107271, 107908, 26854, 47260, 108304, 119495, 113115, 120837, 21403, 232, 21418, 103359, 47523, 117282, 126465, 107407, 66383, 43032, 103854, 100934, 9174, 43240, 119064, 17792, 104680 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 78459, 115145, 20230, 105525, 107691, 30512, 105721, 35287, 54926, 102677, 18655, 73686, 38641, 9174, 22398, 107391, 33710, 70563, 94550, 105525, 107691, 41007, 15682, 5486, 67645, 120240, 32149, 19732, 112844, 19732, 91774, 33035, 15024, 30512, 121697, 126172, 16995, 16325, 101544, 23538, 16144, 106613, 111587, 64467, 105888, 104309, 15682, 43568, 103984, 30512, 39926, 5486, 106483, 64936, 16144, 102669, 16995, 30512, 92776, 126120, 16556, 5486, 32149, 59739, 82533, 62004, 67645, 103470, 71289, 31431, 106307, 105784, 102677, 105933, 102944, 111769, 123253, 32149, 95532, 44971, 66953, 44971, 26269, 76428, 102677, 104468, 5486, 108446, 47000, 56051, 110322, 26955, 254, 35330, 30512, 24186, 116446, 5486, 112366, 58426, 35330, 109518, 16144, 914, 98406, 16144, 13177, 105525, 31431, 107691, 16995, 10646, 29295, 88367, 103195, 102677, 106548, 103214, 64121, 16144, 106592, 78244, 61689, 115397, 27452, 30512, 122765, 33541, 19732, 5486, 1135, 110743, 16144, 110322, 26955, 254, 35330, 72661, 76947, 508, 98406, 16144, 44971, 66953, 44971, 26269, 76428, 119707, 76622, 104533, 78434, 19732, 5486, 1041, 15, 110743, 102944, 108167, 113801, 29295, 108608, 102677, 113334, 38641, 9174, 13177, 68408, 102494, 20251, 44971, 65575, 117824, 26854, 76947, 64121, 38144, 110226, 105576, 30512, 119448, 47884, 122765, 30369, 105908, 103082, 28713, 10646, 55031, 19732, 120267, 17129, 120837, 5486, 104612, 33710, 26854, 104612, 108958, 44971, 65575, 16556, 110226, 105576, 30512, 20834, 122101, 32149, 104405, 32149, 15682, 78183, 107277, 107515, 1811, 68408, 102494, 20251, 44971, 65575, 16144, 126513, 5486, 37656, 74245, 119852, 101310, 107, 105465, 99750, 112854, 16556, 125338, 103801, 16995, 29295, 43514, 38641, 9174, 7424, 55, 128001, 128000, 2, 94632, 96452, 47307, 29295, 118220, 31431, 71289, 127408, 20230, 124364, 126832, 114667, 19732, 108048, 30512, 50338, 104662, 54926, 124122, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 198, 112073, 117940, 5486, 118220, 31431, 71289, 127408, 5486, 109755, 119467, 19732, 115791, 13177, 102750, 102472, 103906, 52884, 10646, 26854, 120208, 115717, 126172, 16995, 112130, 95532, 67645, 103171, 20230, 89154, 76428, 103906, 52884, 57207, 16073, 119557, 26854, 17792, 72661, 112160, 27479, 15682, 91763, 100472, 105908, 101182, 106046, 61689, 9174, 77181, 5486, 67645, 103171, 126101, 118220, 31431, 71289, 127408, 29295, 37507, 30369, 104865, 78698, 107800, 109335, 57903, 33541, 32149, 95532, 80539, 5486, 67645, 103171, 126101, 50338, 104662, 54926, 103899, 58942, 125334, 104533, 91763, 61689, 32149, 95532, 37271, 18904, 15682, 5486, 107943, 118220, 31431, 71289, 127408, 55031, 113487, 76622, 20834, 39926, 50338, 104662, 54926, 41007, 103306, 16144, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 109853, 48154, 126362, 78434, 9174, 14711, 105656, 99, 31431, 71289, 127408, 20230, 124364, 126832, 110018, 198, 126843, 15682, 5486, 118220, 31431, 71289, 127408, 29295, 37507, 30369, 125344, 39850, 71493, 78683, 78525, 91062, 109853, 33334, 87177, 15024, 78434, 9174, 27452, 116285, 90578, 13177, 966, 31640, 109156, 76947, 41642, 31431, 15682, 126326, 39926, 106515, 72342, 120550, 110115, 115408, 15682, 103031, 105514, 32977, 16995, 103470, 38144, 118220, 30369, 111329, 13177, 80631, 107, 35330, 29295, 43568, 47884, 38144, 92877, 74482, 29295, 127408, 111329, 13177, 117876, 29295, 51330, 99695, 61398, 118816, 108446, 23538, 103296, 20230, 122756, 40862, 16995, 102131, 101983, 47884, 38144, 115924, 103192, 9554, 36785, 111329, 107943, 126101, 5486, 118220, 31431, 71289, 127408, 20230, 124364, 126832, 100909, 106046, 61689, 9174, 118220, 31431, 71289, 127408, 5486, 115924, 103192, 99750, 104309, 20230, 124364, 126832, 110018, 15682, 5486, 37689, 109375, 15682, 13177, 37271, 10646, 126194, 13177, 120987, 10646, 109853, 113727, 100934, 105908, 127181, 38641, 9174, 27452, 116285, 126326, 16144, 27452, 118816, 115408, 15682, 85701, 55031, 102677, 120987, 32977, 122485, 16556, 107991, 32149, 121061, 105879, 118220, 76947, 61689, 101832, 9174, 80539, 5486, 80631, 107, 35330, 29295, 43568, 47884, 38144, 92877, 74482, 29295, 64209, 55487, 102677, 123017, 5486, 92877, 74482, 102677, 120987, 20230, 104654, 103082, 100481, 105784, 116421, 64209, 55487, 30512, 127145, 9174, 117876, 114556, 120837, 115847, 55031, 99849, 9080, 32149, 5486, 32977, 106624, 15682, 99849, 111299, 56965, 32149, 61826, 16144, 120987, 16144, 117876, 29295, 105721, 78183, 76947, 43568, 30926, 20230, 108446, 62004, 100934, 32149, 64209, 55487, 30512, 127145, 101832, 9174, 102131, 105321, 38641, 9174, 118220, 30369, 39177, 71289, 127408, 20230, 91763, 30297, 39177, 15682, 5486, 114640, 29295, 44620, 120987, 36761, 121254, 119188, 16144, 38641, 9174, 80539, 108048, 19732, 115963, 20230, 13177, 108895, 16556, 103470, 38144, 112987, 124324, 59712, 108895, 16556, 100604, 19732, 103424, 47884, 100604, 66383, 95604, 76739, 103621, 16144, 116875, 108324, 29295, 122502, 119188, 105908, 43240, 117714, 38641, 9174, 76739, 103621, 16144, 116875, 108324, 15682, 5486, 119100, 19000, 37689, 109375, 107809, 20230, 102532, 37271, 103296, 123726, 38144, 105898, 30297, 58942, 16556, 114601, 31431, 104526, 17129, 103468, 95001, 112603, 114181, 71289, 106613, 111186, 113468, 53283, 121140, 53283, 121140, 16144, 117591, 20230, 109178, 58942, 122382, 124195, 105898, 113727, 24273, 9174, 27452, 116285, 36896, 102667, 30512, 20834, 38144, 81258, 107430, 54926, 112973, 126521, 59712, 126326, 126198, 24273, 29295, 106515, 72342, 36785, 66383, 95604, 105933, 113727, 24273, 9174, 37689, 109375, 29295, 120987, 121254, 16995, 100481, 38144, 5486, 76739, 103621, 16144, 116875, 108324, 29295, 122502, 102334, 126101, 116537, 13177, 118220, 31431, 10646, 71289, 13177, 127408, 118587, 112391, 30369, 41642, 103682, 9039, 108176, 16144, 38641, 9174, 14711, 116564, 30512, 112391, 38144, 116875, 108324, 30512, 46034, 54322, 17663, 19732, 50338, 104662, 54926, 198, 77181, 5486, 118220, 31431, 71289, 127408, 15682, 67645, 119775, 39926, 50338, 104662, 54926, 105879, 109954, 32149, 95532, 20713, 59739, 30832, 15682, 13177, 37271, 118587, 112391, 30369, 100909, 36896, 37271, 118587, 37689, 109375, 54926, 100909, 38641, 9174, 61826, 108680, 16144, 126326, 16144, 27452, 30512, 18655, 104533, 108149, 112568, 15682, 13177, 37271, 10646, 106515, 72342, 112130, 95532, 103031, 105514, 125001, 103470, 111243, 115515, 105994, 29295, 107063, 100, 103468, 33334, 117876, 30512, 39926, 102532, 5486, 98915, 104067, 32977, 71208, 58850, 116690, 103470, 121771, 98369, 107991, 9174, 122013, 116690, 32977, 103424, 53901, 16556, 5486, 107430, 75267, 117501, 32977, 111575, 9174, 36785, 114267, 33503, 36896, 37271, 10646, 20230, 99849, 32977, 109606, 120937, 116497, 38641, 9174, 92877, 74482, 120885, 123334, 76947, 109749, 32149, 17620, 107277, 107515, 9174, 80539, 5486, 32977, 67016, 39926, 30591, 112568, 29295, 92877, 74482, 30512, 109169, 58942, 104533, 50834, 102052, 37271, 107118, 108010, 30297, 106222, 123141, 101983, 103836, 32149, 110241, 33121, 107515, 9174, 37271, 5486, 80631, 107, 35330, 29295, 43568, 102518, 103306, 32977, 64209, 119515, 111201, 104654, 29295, 103082, 101732, 33503, 77693, 16556, 104712, 16144, 38641, 9174, 25963, 59739, 30832, 15682, 13177, 76739, 103621, 16144, 116875, 108324, 30512, 46034, 54322, 17663, 66383, 95604, 100909, 38641, 9174, 86127, 127282, 114300, 106106, 106222, 16556, 123726, 38144, 105898, 5486, 80539, 37271, 32977, 112599, 116748, 83799, 16556, 123726, 100934, 17792, 32977, 121771, 98369, 107991, 118733, 109954, 9174, 38641, 55031, 5486, 112832, 32149, 126036, 106241, 16556, 100934, 120266, 104622, 104087, 99750, 30512, 112391, 5486, 41642, 31431, 105755, 8239, 96, 103836, 100909, 113115, 39926, 8239, 96, 50667, 99750, 30512, 112391, 115926, 15682, 103801, 72342, 25827, 32149, 95532, 77693, 32977, 5486, 103350, 15682, 76739, 103621, 16144, 116875, 108324, 126529, 38641, 9174, 30591, 112568, 15682, 108149, 112568, 9174, 116537, 17792, 9174, 112832, 107173, 125261, 54926, 109215, 114016, 100604, 16144, 38641, 9174, 121953, 120195, 38144, 125261, 114016, 118765, 16144, 38641, 9174, 53900, 5486, 105994, 29295, 80988, 239, 26854, 20230, 21105, 234, 64121, 59739, 119188, 113727, 122291, 33503, 5486, 108031, 127637, 105994, 16556, 78698, 107290, 64121, 17129, 109954, 9174, 58426, 113727, 24273, 15682, 126920, 30591, 112568, 20230, 109215, 123253, 32149, 95532, 126920, 30591, 112568, 116907, 29295, 102131, 91763, 103836, 113727, 24273, 123253, 32149, 95532, 110241, 108048, 29295, 30591, 112568, 16144, 95001, 112603, 114181, 16556, 123207, 117355, 71289, 111201, 46034, 54322, 109768, 50834, 17129, 109954, 9174, 51330, 17, 59739, 29295, 108608, 101200, 101983, 104533, 115515, 103296, 109606, 36785, 106046, 106358, 102944, 29295, 109683, 19732, 109606, 16556, 123733, 31431, 33541, 9174, 32977, 106624, 15682, 5486, 109606, 30512, 50338, 104662, 54926, 111090, 125380, 71289, 76171, 22398, 70563, 44971, 38248, 115, 78205, 16073, 29295, 5486, 36785, 102189, 127842, 85300, 100, 102532, 109749, 101200, 108176, 32149, 32977, 9174, 67645, 112384, 20230, 72342, 57980, 115515, 30591, 112568, 116907, 16144, 116875, 108324, 30512, 46034, 54322, 17663, 105908, 103082, 104984, 5486, 50338, 104662, 16144, 41642, 103682, 9039, 108176, 16144, 38641, 9174, 14711, 108575, 114, 110993, 16144, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 198, 13177, 37271, 10646, 110382, 20230, 107991, 106592, 112391, 30369, 106592, 13177, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 66383, 78244, 61689, 9174, 102012, 110993, 16144, 68759, 76171, 45923, 52591, 33710, 102750, 22398, 15682, 5486, 101860, 81219, 31431, 104921, 239, 101067, 54926, 100909, 38641, 9174, 44620, 104921, 239, 101067, 36761, 15682, 115364, 32943, 110366, 20230, 37689, 109375, 30512, 70141, 105784, 105908, 125545, 9174, 80539, 36896, 37271, 10646, 51330, 75267, 20230, 107991, 115364, 106592, 105755, 114652, 112391, 38144, 37689, 109375, 54926, 105908, 108608, 16144, 38641, 9174, 118220, 31431, 71289, 127408, 71289, 109755, 119467, 104309, 116898, 78183, 106644, 30369, 102750, 102472, 103906, 52884, 26854, 125641, 125334, 38144, 47884, 104533, 50834, 15682, 30591, 112568, 15682, 32943, 109020, 105994, 19732, 108010, 30297, 112169, 30512, 70141, 119188, 39177, 38641, 9174, 51330, 127960, 17905, 16144, 109832, 31431, 118158, 102616, 20230, 67645, 108005, 115, 31431, 124629, 104526, 104127, 103801, 103836, 39177, 126529, 38641, 9174, 104921, 239, 101067, 15682, 106116, 127960, 113245, 102616, 109156, 31431, 104526, 104127, 118220, 31431, 71289, 127408, 30512, 112391, 30369, 16144, 102750, 102472, 103906, 52884, 26854, 41642, 103682, 9039, 55031, 5486, 11743, 107, 104921, 108, 56051, 118331, 84477, 32131, 33710, 26854, 41642, 103682, 9039, 102416, 104721, 107290, 120700, 33541, 9174, 118146, 119962, 100204, 38144, 48915, 16144, 102616, 16144, 108134, 30512, 105988, 67075, 99959, 115691, 15024, 5486, 102987, 105324, 107246, 30512, 39926, 105994, 112197, 113351, 30591, 115926, 109156, 76947, 109749, 104622, 102800, 105324, 107246, 20230, 120766, 103801, 109954, 9174, 127091, 113727, 29295, 111179, 32149, 25827, 103082, 111243, 5486, 110924, 102416, 124629, 104526, 126843, 90620, 90620, 11743, 107, 104921, 108, 39926, 89753, 109768, 50834, 17129, 109954, 9174, 19732, 112649, 47884, 115364, 32943, 110366, 20230, 120766, 54926, 9174, 77693, 103378, 38641, 9174, 112990, 5486, 76739, 103621, 16144, 116875, 108324, 30512, 46034, 54322, 17663, 105908, 103082, 5486, 120208, 29295, 33354, 237, 71289, 111201, 118331, 84477, 32131, 33710, 101983, 107462, 47884, 112973, 17620, 107277, 33541, 9174, 77693, 29295, 50338, 104662, 16144, 41642, 103682, 9039, 38641, 9174, 53953, 30926, 20230, 126521, 109161, 16995, 15682, 43568, 16995, 9174, 90620, 77693, 29295, 72718, 50834, 100934, 103378, 9174, 102131, 118331, 84477, 32131, 33710, 20230, 53953, 30926, 104088, 110071, 101200, 115717, 33541, 9174, 51330, 37823, 32131, 107840, 39926, 120208, 30512, 37823, 109753, 54926, 82973, 30512, 18655, 30369, 105908, 5486, 118220, 31431, 71289, 127408, 30512, 46034, 54322, 17663, 103846, 102052, 19732, 111243, 27384, 102769, 38641, 9174, 113136, 120379, 32977, 120208, 30512, 37823, 109753, 54926, 82973, 38641, 9174, 103424, 47884, 13177, 105104, 38144, 121120, 66383, 78244, 61689, 29295, 108149, 33121, 32977, 115552, 29295, 30591, 76947, 16144, 123120, 126529, 38641, 9174, 14711, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 32149, 95532, 37271, 18904, 15682, 127359, 76171, 45923, 52591, 33710, 102750, 22398, 109853, 33334, 108044, 58942, 39926, 50834, 79721, 9174, 127408, 71289, 118220, 31431, 15682, 43240, 32149, 33121, 83747, 26854, 32149, 33121, 112832, 20230, 72661, 57903, 33541, 9174, 80539, 5486, 109215, 71689, 20230, 102750, 102472, 103906, 52884, 26854, 125641, 30512, 112391, 100934, 105994, 20230, 95221, 109669, 50834, 108031, 46034, 54322, 56051, 16995, 26854, 106046, 100472, 33503, 5486, 112371, 104328, 13177, 37271, 110382, 20230, 107991, 105994, 118587, 112391, 38144, 64121, 38144, 72315, 9174, 50834, 104043, 119515, 32149, 30813, 30512, 112391, 30369, 118733, 109954, 9174, 32977, 67016, 127564, 115515, 113614, 20230, 123726, 100481, 110071, 120266, 99750, 118835, 29295, 85300, 100, 50834, 20834, 38144, 109749, 32149, 110241, 33121, 107515, 9174, 30591, 112568, 16144, 64209, 20230, 5486, 50211, 33354, 237, 29295, 120824, 33121, 33541, 104466, 90578, 20251, 118359, 66953, 48552, 15682, 107740, 103082, 107515, 9174, 51330, 77219, 111363, 90178, 15682, 124897, 1811, 128001, 128000, 21124, 15682, 121453, 102800, 101513, 109472, 48864, 108710, 112113, 30512, 107740, 39926, 116581, 109421, 84264, 238, 75293, 33710, 64178, 20230, 108010, 95543, 103792, 22440, 32307, 16144, 47260, 108304, 119495, 30512, 21403, 232, 21418, 56051, 19732, 125053, 56051, 9174, 21124, 16144, 62804, 606, 17200, 105514, 15682, 5486, 52884, 77750, 77219, 16556, 44620, 103188, 86436, 16, 8107, 122756, 122401, 84389, 5486, 103350, 99741, 103646, 17039, 102800, 15836, 19732, 101513, 109472, 48864, 108710, 112113, 112212, 5486, 108152, 38248, 114, 11972, 117758, 120270, 114475, 105784, 112772, 5486, 108010, 95543, 20230, 109638, 40265, 54926, 1484, 113127, 16144, 77219, 30512, 21403, 232, 21418, 56051, 36761, 19732, 102158, 100472, 9174, 80673, 110371, 112113, 15682, 108038, 126194, 5486, 43240, 119064, 106759, 55031, 13177, 127032, 16144, 43568, 104698, 26854, 117039, 29295, 21403, 232, 21418, 110731, 66383, 95604, 126014, 58942, 125334, 100934, 9174, 97284, 105514, 15682, 13177, 84264, 238, 75293, 16144, 125396, 104088, 103188, 48154, 17663, 105908, 100604, 104466, 112160, 91774, 107873, 95221, 111769, 104466, 91774, 105262, 104346, 123296, 117255, 84844, 126027, 117039, 123160, 5486, 66776, 64810, 29220, 107271, 107908, 26854, 47260, 108304, 119495, 113115, 120837, 21403, 232, 21418, 103359, 47523, 117282, 126465, 107407, 66383, 43032, 103854, 100934, 9174, 43240, 119064, 17792, 104680 ]
[ 15682, 5486, 21124, 16144, 102494, 68408, 44971, 38248, 115, 78205, 16073, 112113, 15682, 104662, 39926, 47406, 104812, 100, 111769, 19732, 113727, 100934, 1811, 122013, 16144, 22398, 96452, 103830, 102895, 67075, 29295, 21403, 232, 21418, 103646, 31431, 5486, 59563, 102832, 20251, 96452, 91062, 16144, 102750, 80805, 64178, 16144, 121551, 16556, 18, 27479, 16144, 107969, 114218, 30512, 109972, 16995, 70892, 116, 16556, 110074, 102639, 118158, 330, 96452, 80805, 103202, 102472, 64178, 1, 19732, 127173, 104028, 104774, 126092, 62903, 91062, 9458, 57326, 29220, 16144, 47523, 17599, 112, 109904, 4468, 17, 116358, 117039, 120950, 44915, 30512, 21403, 232, 21418, 56051, 115789, 105856, 106053, 110731, 9174, 102741, 38248, 115, 68581, 33710, 39850, 125380, 16144, 47260, 108304, 119495, 30512, 104873, 64531, 54926, 109335, 5486, 15836, 102832, 61398, 16144, 115681, 33208, 29295, 114516, 16144, 8239, 112, 122502, 30046, 20230, 67645, 119775, 60632, 105576, 30512, 32977, 127567, 17663, 32149, 102677, 14167, 243, 102700, 26854, 27452, 16144, 16, 59739, 104856, 103836, 9174, 61826, 9953, 5486, 21124, 16144, 47260, 108304, 119495, 126913, 30046, 115287, 40141, 7304, 328, 56552, 105514, 15682, 117119, 103633, 102944, 110665, 48634, 109904, 115240, 16144, 22398, 107167, 118928, 94550, 29295, 64209, 9554, 48915, 114218, 74482, 71634, 108744, 108502, 104698, 30512, 113801, 125119, 56051, 19732, 36668, 105714, 39926, 5486, 42016, 61337, 20230, 126014, 58942, 30512, 125119, 103792, 9174, 71689, 5486, 17297, 61304, 3222, 117758, 31634, 103664, 198, 51330, 106942, 15682, 116381, 37823, 76739, 25197, 103906, 52884, 9458, 47260, 102494, 115144, 114244, 20379, 482, 115304, 112167, 60632, 220, 19, 13, 15, 103774, 104983, 109240, 25197, 64810, 107446, 16144, 17297, 20230, 104908, 116216, 61689, 9174, 103672, 71634, 16073, 19732, 113834, 39880, 91482, 52884, 30512, 26955, 254, 28542, 117408, 105335, 84477, 122060, 103195, 13177, 34, 4763, 64, 3683, 10646, 15682, 5486, 43899, 51, 123160, 118969, 75694, 17129, 26854, 41007, 16556, 95221, 103550, 119526, 30512, 115181, 54926, 41007, 112212, 37656, 105184, 26854, 36827, 95221, 103911, 78943, 108134, 30512, 104908, 103792, 9174, 13177, 2822, 6827, 7, 101335, 38248, 101, 22398, 123283, 38248, 101, 33710, 8, 10646, 107118, 5486, 104735, 101, 27384, 26854, 119526, 33857, 30512, 120018, 32149, 59739, 91875, 112535, 64531, 22649, 15024, 106596, 54926, 5486, 66776, 37823, 44971, 38248, 115, 78205, 115307, 26854, 17620, 107471, 119526, 102832, 61398, 123141, 103195, 1811, 22398, 102663, 108994, 91482, 37823, 103906, 5486, 31540, 11883, 34171, 5486, 113420, 108502, 104698, 34171, 121960, 5486, 123532, 37507, 16144, 49, 3590, 7, 37823, 44971, 38248, 115, 78205, 115307, 119526, 102832, 61398, 8, 30512, 122062, 102147, 243, 54926, 119526, 102832, 61398, 103306, 2822, 6827, 29295, 5486, 26130, 118146, 43167, 62004, 100934, 9174, 43568, 17792, 16556, 110596, 113849, 41190, 71289, 115681, 44416, 109088, 113468, 107850, 23039, 108608, 114743, 101513, 16144, 110022, 25666, 9174, 6109, 106773, 78983, 71289, 110191, 118372, 9458, 102895, 103830, 122692, 120824, 99397, 112919, 39880, 122086, 22398, 9458, 77750, 103195, 1811, 6109, 106773, 78983, 71289, 110191, 118372, 9458, 102895, 103830, 20230, 39880, 122086, 22398, 56051, 120824, 99397, 30046, 29295, 5486, 67645, 120950, 110480, 87217, 20230, 123532, 76947, 6109, 116229, 32943, 30512, 127284, 56051, 104865, 102677, 15120, 89046, 16144, 123259, 114172, 29295, 78183, 117295, 1811, 37507, 120824, 30046, 15682, 116974, 30512, 107167, 48552, 39926, 116229, 32943, 30512, 127284, 54926, 103846, 36896, 107167, 48552, 16144, 89753, 33121, 66383, 32977, 127173, 104028, 9174, 39880, 96452, 37823, 103906, 29220, 22398, 107118, 5486, 101182, 113173, 105352, 19732, 109669, 102532, 5486, 118969, 75694, 17129, 26854, 106596, 46034, 25333, 71289, 102741, 112508, 111234, 39880, 102832, 61398, 16144, 107908, 115054, 78525, 91062, 30512, 125894, 33655, 21105, 103, 29295, 33503, 5486, 119526, 20230, 119100, 126559, 66378, 23187, 16144, 80805, 102514, 16073, 71289, 50021, 97518, 116690, 123160, 53283, 91774, 30512, 116602, 20834, 54926, 106592, 115552, 54926, 9174, 101171, 111, 121432, 16144, 66378, 34171, 30512, 21405, 102321, 54926, 106592, 30832, 64467, 56051, 118687, 123604, 103195, 1811, 17792, 49792, 118331, 108994, 33710, 118823, 102756, 105048, 107173, 112844, 1811, 128001, 128000, 14711, 220, 679, 23, 8107, 13177, 103350, 124299, 109904, 104149, 121254, 107441, 16144, 117501, 40452, 64810, 101198, 118567, 10646, 111363, 48154, 110284, 97135, 16995, 79721, 198, 12, 220, 679, 24, 8107, 2371, 9953, 2437, 9080, 198, 827, 108295, 100204, 62004, 20230, 198, 110653, 22656, 112167, 101275, 32938, 120938, 58911, 38641, 54747, 104149, 121254, 107441, 16144, 117501, 40452, 64810, 101198, 118567, 863, 30512, 17, 9953, 777, 9080, 55031, 18, 9953, 1313, 9080, 112649, 107441, 111717, 806, 38093, 75267, 126250, 87447, 113497, 121256, 1811, 114341, 104599, 15682, 117429, 106384, 78767, 68581, 80805, 113883, 7741, 231, 105635, 46028, 105514, 107898, 124730, 15024, 5486, 40862, 82420, 22507, 13372, 120332, 20230, 110284, 109768, 90620, 50834, 79721, 1811, 86127, 29295, 110284, 56051, 106496, 106894, 38093, 75267, 5486, 110653, 22656, 38093, 75267, 107173, 20230, 102717, 109416, 112624, 105350, 121711, 5486, 110284, 109768, 90620, 102334, 24273, 20230, 91739, 106, 23602, 230, 26854, 114284, 30512, 107726, 38144, 103801, 16995, 102782, 15024, 117735, 77121, 16995, 105823, 104127, 56051, 9174, 40265, 9080, 15682, 5486, 103664, 18, 82973, 20230, 78183, 115926, 44915, 16144, 127919, 16995, 64810, 101198, 118567, 16556, 110745, 50834, 47884, 17620, 107441, 19, 118821, 64810, 122131, 20230, 17620, 32149, 33121, 100481, 79721, 9174, 16, 5486, 15682, 100204, 62004, 20230, 5486, 25580, 18904, 113786, 64810, 101198, 96452, 115247, 109095, 108710, 198, 17, 5486, 104149, 16144, 117501, 40452, 16144, 120098, 10110, 8445, 17, 5486, 32149, 25827, 53610, 5486, 122539, 27479, 5486, 126287, 5486, 101426, 5486, 8239, 112, 122502, 48634, 23954, 18, 5486, 117501, 30512, 105266, 15120, 33208, 124545, 35894, 95221, 122523, 108476, 198, 19, 5486, 104840, 104346, 99959, 110548, 16144, 43240, 115070, 107740, 198, 51330, 16325, 55031, 88852, 20230, 5486, 64810, 101198, 96452, 115247, 44915, 30512, 15120, 34048, 48154, 126362, 102334, 78434, 9174, 14711, 220, 85701, 117758, 110226, 33857, 30512, 104662, 109315, 120098, 15682, 2118, 32149, 25827, 53610, 89874, 18, 9953, 23897, 104989, 16144, 110226, 33857, 30512, 104662, 109315, 27384, 102769, 26854, 120098, 15682, 32149, 25827, 53610, 36785, 102677, 118733, 5486, 32149, 25827, 53610, 123863, 44915, 16144, 105494, 30512, 48154, 126362, 78434, 1811, 17, 9953, 23897, 104989, 15682, 5486, 9080, 105644, 33857, 16144, 115079, 21601, 20230, 30591, 78183, 30591, 127397, 32149, 25827, 53610, 30512, 115079, 71289, 109768, 47884, 39177, 23538, 119627, 5486, 32149, 25827, 53610, 33857, 127242, 16556, 13153, 101544, 16144, 102780, 30512, 73686, 42891, 105714, 103836, 24273, 29295, 127181, 38641, 1811, 118789, 9554, 102052, 120953, 125338, 115079, 71289, 109768, 47884, 104865, 11571, 99849, 30512, 75146, 107253, 20230, 115079, 71289, 109768, 47884, 104865, 11571, 102131, 16995, 100472, 87177, 115991, 79721, 1811, 32149, 25827, 53610, 30512, 115079, 126172, 87177, 15682, 5486, 8445, 17, 102923, 11883, 71289, 21418, 122539, 104309, 5486, 117501, 44416, 109088, 30512, 50834, 43514, 127842, 23039, 103836, 105908, 25580, 29172, 77195, 16144, 103846, 8445, 17, 102923, 11883, 104309, 112197, 30813, 110706, 16144, 44915, 32977, 57903, 79721, 9174, 47774, 32149, 25827, 53610, 16144, 115079, 71289, 15024, 24273, 198, 13357, 229, 116169, 112649, 25827, 53610, 30512, 115079, 126172, 16144, 126194, 5486, 50834, 43514, 127842, 75146, 107253, 114792, 76947, 5486, 32149, 25827, 53610, 30512, 104662, 109315, 41007, 30512, 83747, 21105, 242, 126362, 56051, 16995, 106046, 61689, 1811, 32149, 25827, 53610, 30512, 104662, 109315, 46034, 110480, 119627, 5486, 126843, 5486, 102321, 103397, 104865, 25827, 53610, 33857, 30512, 102178, 111665, 54926, 100909, 38641, 1811, 64810, 101198, 118567, 126867, 7741, 231, 105635, 105514, 55031, 2118, 115364, 102040, 115474, 104865, 25827, 53610, 33857, 30512, 13177, 605, 64, 30591, 115926, 9080, 105644, 20713, 78832, 3262, 198, 17, 16556, 99849, 37823, 67075, 33710, 89753, 103792, 66383, 102178, 111665, 127145, 32149, 82364, 102677, 105284, 99397, 115991, 79721, 1811, 86127, 29295, 110284, 56051, 38093, 75267, 77181, 5486, 103268, 9039, 71689, 120332, 29295, 102178, 111665, 109768, 100604, 101200, 16556, 56051, 1811, 32149, 25827, 53610, 33857, 16144, 55999, 33035, 16144, 75146, 107253, 103306, 85701, 30512, 102178, 111665, 109768, 100604, 19732, 5486, 127181, 5486, 83747, 100604, 102677, 125261, 29295, 118765, 105879, 5486, 126843, 15682, 51330, 83687, 30512, 102178, 111665, 54926, 105908, 105335, 84477, 121711, 33541, 1811, 110382, 113245, 120098, 103306, 5486, 16, 108156, 30591, 115926, 126194, 605, 64, 111430, 30590, 124175, 8, 30591, 115926, 30512, 75146, 107253, 117408, 100909, 38641, 1811, 77181, 5486, 103350, 104983, 20230, 115364, 102040, 115474, 16556, 5486, 605, 64, 30591, 115926, 99849, 37823, 67075, 33710, 32149, 25827, 53610, 103792, 104865, 30512, 53283, 103950, 103306, 32977, 5486, 32149, 25827, 53610, 33857, 30512, 116700, 108608, 123128, 124905, 103836, 116537, 83747, 100604, 105879, 5486, 38129, 103792, 32149, 25827, 53610, 123577, 109229, 16144, 118328, 20834, 33857, 55031, 122282, 54926, 41007, 16144, 122984, 115991, 79721, 109900, 19732, 114146, 38144, 5486, 9080, 105644, 33857, 30512, 50834, 43514, 127842, 108867, 23187, 54926, 118733, 36896, 605, 64, 30591, 115926, 9080, 105644, 20713, 78832, 3262, 220, 17, 16556, 99849, 37823, 67075, 33710, 32149, 25827, 53610, 103792, 66383, 95604, 106592, 102178, 111665, 125545, 1811, 102131, 112990, 5486, 64810, 101198, 118567, 16556, 33334, 108044, 58942, 56051, 75146, 107253, 19732, 125261, 39926, 5486, 102321, 103397, 104865, 25827, 53610, 33857, 29295, 127181, 104865, 5486, 83747, 100604, 104865, 29295, 17620, 107277, 33541, 15024, 108149, 19732, 67645, 16144, 120264, 115079, 126172, 105908, 108608, 104865, 5486, 32149, 25827, 53610, 33857, 30512, 115079, 126172, 110018, 16144, 75146, 107253, 105352, 125545, 9174, 14711, 10447, 240, 108, 103496, 44416, 109088, 54926, 105110, 2118, 104346, 863, 32977, 27384, 102769, 198, 122523, 108476, 15355, 229, 30512, 18904, 17663, 5486, 118937, 102064, 101513, 16144, 99959, 110548, 30512, 73686, 47884, 104309, 5486, 43240, 119064, 24273, 29295, 103792, 100909, 106046, 61689, 29295, 5486, 118789, 9554, 107898, 125683, 62004, 16144, 41007, 30512, 108044, 105262, 75267, 15682, 77693, 108680, 43240, 47884, 100604, 106046, 61689, 125939, 18904, 16144, 64810, 101198, 118567, 77181, 117119, 104604, 106116, 71289, 31431, 24273, 119279, 125683, 62004, 26854, 104865, 32977, 96412, 107436, 5486, 43511, 77181, 104655, 47884, 101513, 38093, 29295, 121143, 43240, 20230, 100604, 127303, 103950, 35894, 95221, 89753, 91875, 109853, 16144, 44915, 115991, 79721, 9174, 47774, 122523, 108476, 15355, 229, 15682, 18904, 15024, 106307, 107674, 17129, 103296, 104712, 16144, 95532, 102040, 115474, 123727, 35894, 95221, 89753, 91875, 29295, 109215, 26854, 114667, 15682, 110745, 50834, 47884, 17620, 107441, 18, 59739, 57903, 33541, 9174, 16, 5486, 105065, 28190, 111363, 8445, 17, 84844, 110698, 198, 17, 5486, 105065, 28190, 122539, 27479, 30512, 17297, 102639, 30369, 198, 18, 5486, 126287, 91062, 32131, 16144, 50338, 33420, 198, 58426, 16325, 16556, 103350, 124299, 109904, 15308, 121, 107517, 121960, 122523, 108476, 15355, 229, 30512, 38129, 54926, 113173, 15682, 5486, 126287, 91062, 32131, 30512, 50338, 33420, 124545, 113009, 91875, 19967, 107726, 100934, 24273, 29295, 127181, 106046, 61689, 1811, 126287, 91062, 32131, 30512, 50338, 33420, 124545, 103846, 102052, 5486, 1187, 82973, 101860, 104043, 91875, 19967, 15024, 106307, 105784, 126036, 5486, 1774, 17620, 56965, 91875, 32149, 39926, 868, 17620, 82533, 109315, 104309, 39926, 35894, 95221, 36785, 109709, 30512, 50338, 104662, 54926, 24273, 29295, 8239, 114503, 9554, 38641, 1811, 64810, 101198, 118567, 77181, 5486, 122523, 108476, 15355, 229, 16144, 118789, 109904, 102647, 23187, 41007, 71289, 102332, 22324, 41007, 5486, 122523, 108476, 15355, 229, 16556, 35894, 95221, 30512, 91875, 32149, 17663, 71289, 31431, 24273, 121142, 103470, 118937, 102064, 101513, 16144, 37705, 104346, 30512, 76706, 11883, 54926, 41007, 104309, 116898, 85791, 16995, 85791, 26854, 41007, 16144, 66378, 17599, 112, 16144, 126362, 115991, 79721, 9174, 14711, 106369, 78183, 112586, 198, 121410, 8107, 5486, 113786, 64810, 101198, 118567, 19732, 104149, 64810, 101198, 118567, 125523, 113497, 107726, 38144, 115962, 102532, 108086, 33541, 29295, 5486, 104149, 64810, 101198, 118567, 15682, 20834, 111600, 33857, 29295, 115079, 107290, 50834, 38144, 21990, 106518, 112919, 24273, 29295, 112008, 106624, 26854, 76947, 109749, 39177, 23538, 20230, 87447, 113497, 84389, 33541, 1811, 102131, 16995, 100472, 26854, 32149, 16556, 5486, 110226, 33857, 5486, 105525, 17905, 70141, 17905, 16144, 103846, 5486, 64810, 101198, 118567, 20230, 110284, 39926, 115962, 105784, 24273, 16144, 40474, 107969, 102052, 5486, 121410, 18904, 5486, 121602, 32149, 84389, 33541, 9174, 37271, 18904, 5486, 104371, 47523, 9554, 103351, 112973, 5486, 64810, 101198, 118567, 111671, 25580, 71289, 105677, 107063, 102, 82973, 20230, 5486, 112361, 72099, 123727, 105791, 91774, 53283, 31431, 127303, 103950, 24273, 104680, 29295, 5486, 13870, 232, 61337, 29295, 89408, 27479, 55031, 105335, 84477, 121256, 107420, 104774, 76171, 99959, 105048, 32131, 65299, 45923, 104088, 72342, 40862, 103836, 101426, 86354, 104088, 28713, 118733, 56051, 1811, 64810, 101198, 118567, 16325, 16556, 103470, 111243, 5486, 110284, 112919, 24273, 104680, 16144, 108134, 39209, 109033, 103792, 110783, 32977, 57903, 79721, 118844, 55031, 32977, 5486, 21990, 106518, 112919, 24273, 16144, 15308, 121, 107517, 20230, 76706, 11883, 108608, 64810, 101198, 118567, 125523, 113497, 109768, 50834, 33541, 105879, 5486, 57980, 85791, 106624, 33334, 124730, 105260, 78434, 1811, 128001, 128000, 91, 30537, 66224, 18904, 198, 105065, 9953, 198, 91, 13177, 27327, 19732, 58850, 111329, 13177, 28190, 19732, 105060, 99741, 111329, 91, 106496, 61786, 96452, 90962, 45829, 198, 124834, 91774, 101557, 230, 15120, 198, 91, 1049, 24, 13, 24, 13, 1591, 31640, 104680, 76505, 27327, 107875, 55038, 198, 7511, 31640, 104680, 76505, 27327, 107875, 55038, 15682 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15682, 5486, 21124, 16144, 102494, 68408, 44971, 38248, 115, 78205, 16073, 112113, 15682, 104662, 39926, 47406, 104812, 100, 111769, 19732, 113727, 100934, 1811, 122013, 16144, 22398, 96452, 103830, 102895, 67075, 29295, 21403, 232, 21418, 103646, 31431, 5486, 59563, 102832, 20251, 96452, 91062, 16144, 102750, 80805, 64178, 16144, 121551, 16556, 18, 27479, 16144, 107969, 114218, 30512, 109972, 16995, 70892, 116, 16556, 110074, 102639, 118158, 330, 96452, 80805, 103202, 102472, 64178, 1, 19732, 127173, 104028, 104774, 126092, 62903, 91062, 9458, 57326, 29220, 16144, 47523, 17599, 112, 109904, 4468, 17, 116358, 117039, 120950, 44915, 30512, 21403, 232, 21418, 56051, 115789, 105856, 106053, 110731, 9174, 102741, 38248, 115, 68581, 33710, 39850, 125380, 16144, 47260, 108304, 119495, 30512, 104873, 64531, 54926, 109335, 5486, 15836, 102832, 61398, 16144, 115681, 33208, 29295, 114516, 16144, 8239, 112, 122502, 30046, 20230, 67645, 119775, 60632, 105576, 30512, 32977, 127567, 17663, 32149, 102677, 14167, 243, 102700, 26854, 27452, 16144, 16, 59739, 104856, 103836, 9174, 61826, 9953, 5486, 21124, 16144, 47260, 108304, 119495, 126913, 30046, 115287, 40141, 7304, 328, 56552, 105514, 15682, 117119, 103633, 102944, 110665, 48634, 109904, 115240, 16144, 22398, 107167, 118928, 94550, 29295, 64209, 9554, 48915, 114218, 74482, 71634, 108744, 108502, 104698, 30512, 113801, 125119, 56051, 19732, 36668, 105714, 39926, 5486, 42016, 61337, 20230, 126014, 58942, 30512, 125119, 103792, 9174, 71689, 5486, 17297, 61304, 3222, 117758, 31634, 103664, 198, 51330, 106942, 15682, 116381, 37823, 76739, 25197, 103906, 52884, 9458, 47260, 102494, 115144, 114244, 20379, 482, 115304, 112167, 60632, 220, 19, 13, 15, 103774, 104983, 109240, 25197, 64810, 107446, 16144, 17297, 20230, 104908, 116216, 61689, 9174, 103672, 71634, 16073, 19732, 113834, 39880, 91482, 52884, 30512, 26955, 254, 28542, 117408, 105335, 84477, 122060, 103195, 13177, 34, 4763, 64, 3683, 10646, 15682, 5486, 43899, 51, 123160, 118969, 75694, 17129, 26854, 41007, 16556, 95221, 103550, 119526, 30512, 115181, 54926, 41007, 112212, 37656, 105184, 26854, 36827, 95221, 103911, 78943, 108134, 30512, 104908, 103792, 9174, 13177, 2822, 6827, 7, 101335, 38248, 101, 22398, 123283, 38248, 101, 33710, 8, 10646, 107118, 5486, 104735, 101, 27384, 26854, 119526, 33857, 30512, 120018, 32149, 59739, 91875, 112535, 64531, 22649, 15024, 106596, 54926, 5486, 66776, 37823, 44971, 38248, 115, 78205, 115307, 26854, 17620, 107471, 119526, 102832, 61398, 123141, 103195, 1811, 22398, 102663, 108994, 91482, 37823, 103906, 5486, 31540, 11883, 34171, 5486, 113420, 108502, 104698, 34171, 121960, 5486, 123532, 37507, 16144, 49, 3590, 7, 37823, 44971, 38248, 115, 78205, 115307, 119526, 102832, 61398, 8, 30512, 122062, 102147, 243, 54926, 119526, 102832, 61398, 103306, 2822, 6827, 29295, 5486, 26130, 118146, 43167, 62004, 100934, 9174, 43568, 17792, 16556, 110596, 113849, 41190, 71289, 115681, 44416, 109088, 113468, 107850, 23039, 108608, 114743, 101513, 16144, 110022, 25666, 9174, 6109, 106773, 78983, 71289, 110191, 118372, 9458, 102895, 103830, 122692, 120824, 99397, 112919, 39880, 122086, 22398, 9458, 77750, 103195, 1811, 6109, 106773, 78983, 71289, 110191, 118372, 9458, 102895, 103830, 20230, 39880, 122086, 22398, 56051, 120824, 99397, 30046, 29295, 5486, 67645, 120950, 110480, 87217, 20230, 123532, 76947, 6109, 116229, 32943, 30512, 127284, 56051, 104865, 102677, 15120, 89046, 16144, 123259, 114172, 29295, 78183, 117295, 1811, 37507, 120824, 30046, 15682, 116974, 30512, 107167, 48552, 39926, 116229, 32943, 30512, 127284, 54926, 103846, 36896, 107167, 48552, 16144, 89753, 33121, 66383, 32977, 127173, 104028, 9174, 39880, 96452, 37823, 103906, 29220, 22398, 107118, 5486, 101182, 113173, 105352, 19732, 109669, 102532, 5486, 118969, 75694, 17129, 26854, 106596, 46034, 25333, 71289, 102741, 112508, 111234, 39880, 102832, 61398, 16144, 107908, 115054, 78525, 91062, 30512, 125894, 33655, 21105, 103, 29295, 33503, 5486, 119526, 20230, 119100, 126559, 66378, 23187, 16144, 80805, 102514, 16073, 71289, 50021, 97518, 116690, 123160, 53283, 91774, 30512, 116602, 20834, 54926, 106592, 115552, 54926, 9174, 101171, 111, 121432, 16144, 66378, 34171, 30512, 21405, 102321, 54926, 106592, 30832, 64467, 56051, 118687, 123604, 103195, 1811, 17792, 49792, 118331, 108994, 33710, 118823, 102756, 105048, 107173, 112844, 1811, 128001, 128000, 14711, 220, 679, 23, 8107, 13177, 103350, 124299, 109904, 104149, 121254, 107441, 16144, 117501, 40452, 64810, 101198, 118567, 10646, 111363, 48154, 110284, 97135, 16995, 79721, 198, 12, 220, 679, 24, 8107, 2371, 9953, 2437, 9080, 198, 827, 108295, 100204, 62004, 20230, 198, 110653, 22656, 112167, 101275, 32938, 120938, 58911, 38641, 54747, 104149, 121254, 107441, 16144, 117501, 40452, 64810, 101198, 118567, 863, 30512, 17, 9953, 777, 9080, 55031, 18, 9953, 1313, 9080, 112649, 107441, 111717, 806, 38093, 75267, 126250, 87447, 113497, 121256, 1811, 114341, 104599, 15682, 117429, 106384, 78767, 68581, 80805, 113883, 7741, 231, 105635, 46028, 105514, 107898, 124730, 15024, 5486, 40862, 82420, 22507, 13372, 120332, 20230, 110284, 109768, 90620, 50834, 79721, 1811, 86127, 29295, 110284, 56051, 106496, 106894, 38093, 75267, 5486, 110653, 22656, 38093, 75267, 107173, 20230, 102717, 109416, 112624, 105350, 121711, 5486, 110284, 109768, 90620, 102334, 24273, 20230, 91739, 106, 23602, 230, 26854, 114284, 30512, 107726, 38144, 103801, 16995, 102782, 15024, 117735, 77121, 16995, 105823, 104127, 56051, 9174, 40265, 9080, 15682, 5486, 103664, 18, 82973, 20230, 78183, 115926, 44915, 16144, 127919, 16995, 64810, 101198, 118567, 16556, 110745, 50834, 47884, 17620, 107441, 19, 118821, 64810, 122131, 20230, 17620, 32149, 33121, 100481, 79721, 9174, 16, 5486, 15682, 100204, 62004, 20230, 5486, 25580, 18904, 113786, 64810, 101198, 96452, 115247, 109095, 108710, 198, 17, 5486, 104149, 16144, 117501, 40452, 16144, 120098, 10110, 8445, 17, 5486, 32149, 25827, 53610, 5486, 122539, 27479, 5486, 126287, 5486, 101426, 5486, 8239, 112, 122502, 48634, 23954, 18, 5486, 117501, 30512, 105266, 15120, 33208, 124545, 35894, 95221, 122523, 108476, 198, 19, 5486, 104840, 104346, 99959, 110548, 16144, 43240, 115070, 107740, 198, 51330, 16325, 55031, 88852, 20230, 5486, 64810, 101198, 96452, 115247, 44915, 30512, 15120, 34048, 48154, 126362, 102334, 78434, 9174, 14711, 220, 85701, 117758, 110226, 33857, 30512, 104662, 109315, 120098, 15682, 2118, 32149, 25827, 53610, 89874, 18, 9953, 23897, 104989, 16144, 110226, 33857, 30512, 104662, 109315, 27384, 102769, 26854, 120098, 15682, 32149, 25827, 53610, 36785, 102677, 118733, 5486, 32149, 25827, 53610, 123863, 44915, 16144, 105494, 30512, 48154, 126362, 78434, 1811, 17, 9953, 23897, 104989, 15682, 5486, 9080, 105644, 33857, 16144, 115079, 21601, 20230, 30591, 78183, 30591, 127397, 32149, 25827, 53610, 30512, 115079, 71289, 109768, 47884, 39177, 23538, 119627, 5486, 32149, 25827, 53610, 33857, 127242, 16556, 13153, 101544, 16144, 102780, 30512, 73686, 42891, 105714, 103836, 24273, 29295, 127181, 38641, 1811, 118789, 9554, 102052, 120953, 125338, 115079, 71289, 109768, 47884, 104865, 11571, 99849, 30512, 75146, 107253, 20230, 115079, 71289, 109768, 47884, 104865, 11571, 102131, 16995, 100472, 87177, 115991, 79721, 1811, 32149, 25827, 53610, 30512, 115079, 126172, 87177, 15682, 5486, 8445, 17, 102923, 11883, 71289, 21418, 122539, 104309, 5486, 117501, 44416, 109088, 30512, 50834, 43514, 127842, 23039, 103836, 105908, 25580, 29172, 77195, 16144, 103846, 8445, 17, 102923, 11883, 104309, 112197, 30813, 110706, 16144, 44915, 32977, 57903, 79721, 9174, 47774, 32149, 25827, 53610, 16144, 115079, 71289, 15024, 24273, 198, 13357, 229, 116169, 112649, 25827, 53610, 30512, 115079, 126172, 16144, 126194, 5486, 50834, 43514, 127842, 75146, 107253, 114792, 76947, 5486, 32149, 25827, 53610, 30512, 104662, 109315, 41007, 30512, 83747, 21105, 242, 126362, 56051, 16995, 106046, 61689, 1811, 32149, 25827, 53610, 30512, 104662, 109315, 46034, 110480, 119627, 5486, 126843, 5486, 102321, 103397, 104865, 25827, 53610, 33857, 30512, 102178, 111665, 54926, 100909, 38641, 1811, 64810, 101198, 118567, 126867, 7741, 231, 105635, 105514, 55031, 2118, 115364, 102040, 115474, 104865, 25827, 53610, 33857, 30512, 13177, 605, 64, 30591, 115926, 9080, 105644, 20713, 78832, 3262, 198, 17, 16556, 99849, 37823, 67075, 33710, 89753, 103792, 66383, 102178, 111665, 127145, 32149, 82364, 102677, 105284, 99397, 115991, 79721, 1811, 86127, 29295, 110284, 56051, 38093, 75267, 77181, 5486, 103268, 9039, 71689, 120332, 29295, 102178, 111665, 109768, 100604, 101200, 16556, 56051, 1811, 32149, 25827, 53610, 33857, 16144, 55999, 33035, 16144, 75146, 107253, 103306, 85701, 30512, 102178, 111665, 109768, 100604, 19732, 5486, 127181, 5486, 83747, 100604, 102677, 125261, 29295, 118765, 105879, 5486, 126843, 15682, 51330, 83687, 30512, 102178, 111665, 54926, 105908, 105335, 84477, 121711, 33541, 1811, 110382, 113245, 120098, 103306, 5486, 16, 108156, 30591, 115926, 126194, 605, 64, 111430, 30590, 124175, 8, 30591, 115926, 30512, 75146, 107253, 117408, 100909, 38641, 1811, 77181, 5486, 103350, 104983, 20230, 115364, 102040, 115474, 16556, 5486, 605, 64, 30591, 115926, 99849, 37823, 67075, 33710, 32149, 25827, 53610, 103792, 104865, 30512, 53283, 103950, 103306, 32977, 5486, 32149, 25827, 53610, 33857, 30512, 116700, 108608, 123128, 124905, 103836, 116537, 83747, 100604, 105879, 5486, 38129, 103792, 32149, 25827, 53610, 123577, 109229, 16144, 118328, 20834, 33857, 55031, 122282, 54926, 41007, 16144, 122984, 115991, 79721, 109900, 19732, 114146, 38144, 5486, 9080, 105644, 33857, 30512, 50834, 43514, 127842, 108867, 23187, 54926, 118733, 36896, 605, 64, 30591, 115926, 9080, 105644, 20713, 78832, 3262, 220, 17, 16556, 99849, 37823, 67075, 33710, 32149, 25827, 53610, 103792, 66383, 95604, 106592, 102178, 111665, 125545, 1811, 102131, 112990, 5486, 64810, 101198, 118567, 16556, 33334, 108044, 58942, 56051, 75146, 107253, 19732, 125261, 39926, 5486, 102321, 103397, 104865, 25827, 53610, 33857, 29295, 127181, 104865, 5486, 83747, 100604, 104865, 29295, 17620, 107277, 33541, 15024, 108149, 19732, 67645, 16144, 120264, 115079, 126172, 105908, 108608, 104865, 5486, 32149, 25827, 53610, 33857, 30512, 115079, 126172, 110018, 16144, 75146, 107253, 105352, 125545, 9174, 14711, 10447, 240, 108, 103496, 44416, 109088, 54926, 105110, 2118, 104346, 863, 32977, 27384, 102769, 198, 122523, 108476, 15355, 229, 30512, 18904, 17663, 5486, 118937, 102064, 101513, 16144, 99959, 110548, 30512, 73686, 47884, 104309, 5486, 43240, 119064, 24273, 29295, 103792, 100909, 106046, 61689, 29295, 5486, 118789, 9554, 107898, 125683, 62004, 16144, 41007, 30512, 108044, 105262, 75267, 15682, 77693, 108680, 43240, 47884, 100604, 106046, 61689, 125939, 18904, 16144, 64810, 101198, 118567, 77181, 117119, 104604, 106116, 71289, 31431, 24273, 119279, 125683, 62004, 26854, 104865, 32977, 96412, 107436, 5486, 43511, 77181, 104655, 47884, 101513, 38093, 29295, 121143, 43240, 20230, 100604, 127303, 103950, 35894, 95221, 89753, 91875, 109853, 16144, 44915, 115991, 79721, 9174, 47774, 122523, 108476, 15355, 229, 15682, 18904, 15024, 106307, 107674, 17129, 103296, 104712, 16144, 95532, 102040, 115474, 123727, 35894, 95221, 89753, 91875, 29295, 109215, 26854, 114667, 15682, 110745, 50834, 47884, 17620, 107441, 18, 59739, 57903, 33541, 9174, 16, 5486, 105065, 28190, 111363, 8445, 17, 84844, 110698, 198, 17, 5486, 105065, 28190, 122539, 27479, 30512, 17297, 102639, 30369, 198, 18, 5486, 126287, 91062, 32131, 16144, 50338, 33420, 198, 58426, 16325, 16556, 103350, 124299, 109904, 15308, 121, 107517, 121960, 122523, 108476, 15355, 229, 30512, 38129, 54926, 113173, 15682, 5486, 126287, 91062, 32131, 30512, 50338, 33420, 124545, 113009, 91875, 19967, 107726, 100934, 24273, 29295, 127181, 106046, 61689, 1811, 126287, 91062, 32131, 30512, 50338, 33420, 124545, 103846, 102052, 5486, 1187, 82973, 101860, 104043, 91875, 19967, 15024, 106307, 105784, 126036, 5486, 1774, 17620, 56965, 91875, 32149, 39926, 868, 17620, 82533, 109315, 104309, 39926, 35894, 95221, 36785, 109709, 30512, 50338, 104662, 54926, 24273, 29295, 8239, 114503, 9554, 38641, 1811, 64810, 101198, 118567, 77181, 5486, 122523, 108476, 15355, 229, 16144, 118789, 109904, 102647, 23187, 41007, 71289, 102332, 22324, 41007, 5486, 122523, 108476, 15355, 229, 16556, 35894, 95221, 30512, 91875, 32149, 17663, 71289, 31431, 24273, 121142, 103470, 118937, 102064, 101513, 16144, 37705, 104346, 30512, 76706, 11883, 54926, 41007, 104309, 116898, 85791, 16995, 85791, 26854, 41007, 16144, 66378, 17599, 112, 16144, 126362, 115991, 79721, 9174, 14711, 106369, 78183, 112586, 198, 121410, 8107, 5486, 113786, 64810, 101198, 118567, 19732, 104149, 64810, 101198, 118567, 125523, 113497, 107726, 38144, 115962, 102532, 108086, 33541, 29295, 5486, 104149, 64810, 101198, 118567, 15682, 20834, 111600, 33857, 29295, 115079, 107290, 50834, 38144, 21990, 106518, 112919, 24273, 29295, 112008, 106624, 26854, 76947, 109749, 39177, 23538, 20230, 87447, 113497, 84389, 33541, 1811, 102131, 16995, 100472, 26854, 32149, 16556, 5486, 110226, 33857, 5486, 105525, 17905, 70141, 17905, 16144, 103846, 5486, 64810, 101198, 118567, 20230, 110284, 39926, 115962, 105784, 24273, 16144, 40474, 107969, 102052, 5486, 121410, 18904, 5486, 121602, 32149, 84389, 33541, 9174, 37271, 18904, 5486, 104371, 47523, 9554, 103351, 112973, 5486, 64810, 101198, 118567, 111671, 25580, 71289, 105677, 107063, 102, 82973, 20230, 5486, 112361, 72099, 123727, 105791, 91774, 53283, 31431, 127303, 103950, 24273, 104680, 29295, 5486, 13870, 232, 61337, 29295, 89408, 27479, 55031, 105335, 84477, 121256, 107420, 104774, 76171, 99959, 105048, 32131, 65299, 45923, 104088, 72342, 40862, 103836, 101426, 86354, 104088, 28713, 118733, 56051, 1811, 64810, 101198, 118567, 16325, 16556, 103470, 111243, 5486, 110284, 112919, 24273, 104680, 16144, 108134, 39209, 109033, 103792, 110783, 32977, 57903, 79721, 118844, 55031, 32977, 5486, 21990, 106518, 112919, 24273, 16144, 15308, 121, 107517, 20230, 76706, 11883, 108608, 64810, 101198, 118567, 125523, 113497, 109768, 50834, 33541, 105879, 5486, 57980, 85791, 106624, 33334, 124730, 105260, 78434, 1811, 128001, 128000, 91, 30537, 66224, 18904, 198, 105065, 9953, 198, 91, 13177, 27327, 19732, 58850, 111329, 13177, 28190, 19732, 105060, 99741, 111329, 91, 106496, 61786, 96452, 90962, 45829, 198, 124834, 91774, 101557, 230, 15120, 198, 91, 1049, 24, 13, 24, 13, 1591, 31640, 104680, 76505, 27327, 107875, 55038, 198, 7511, 31640, 104680, 76505, 27327, 107875, 55038, 15682 ]
[ 5486, 102321, 25359, 54926, 9039, 83747, 100604, 102571, 121536, 32943, 107875, 55038, 38641, 123601, 107875, 55038, 19732, 112361, 102571, 121536, 123727, 34208, 102452, 10110, 121536, 107875, 55038, 7705, 16556, 5486, 109088, 40265, 46729, 16144, 124834, 91774, 101557, 230, 15120, 105514, 19732, 5486, 110022, 40862, 106581, 102803, 102514, 16556, 44620, 111482, 19732, 27327, 105465, 102473, 36761, 16556, 121987, 18476, 30512, 115181, 103646, 5486, 106496, 61786, 96452, 90962, 45829, 98369, 112197, 87177, 30512, 17885, 118, 16995, 79721, 9174, 105021, 106496, 61786, 96452, 90962, 45829, 98369, 112197, 87177, 103705, 198, 27327, 16144, 114172, 102512, 30512, 27869, 238, 19732, 126145, 5486, 17597, 104, 58850, 29295, 107875, 106358, 113146, 32977, 57903, 79721, 29295, 5486, 102452, 102865, 113146, 20230, 114181, 103478, 124625, 5486, 101083, 103478, 124625, 104503, 45829, 29295, 27384, 13153, 15024, 5486, 103787, 46729, 20230, 109189, 84389, 5486, 70277, 109076, 113146, 20230, 106633, 102697, 29295, 108167, 106548, 102769, 30369, 101200, 117084, 126328, 5486, 111482, 29295, 27327, 107875, 55038, 20230, 30591, 29295, 30369, 109335, 110008, 84389, 123733, 31431, 13177, 27327, 15682, 123737, 16144, 102944, 66383, 26854, 31431, 79721, 1811, 111482, 27327, 105465, 104599, 29295, 107420, 103306, 104736, 62004, 110071, 101200, 110276, 104468, 5486, 102669, 74482, 115638, 1419, 116358, 100909, 38641, 9174, 1049, 19, 8107, 5486, 102780, 80195, 120630, 45829, 98369, 30512, 96412, 104004, 1313, 13372, 16144, 111482, 27327, 105465, 104599, 29295, 107693, 43568, 83799, 106581, 112686, 103306, 104736, 23187, 114475, 76622, 79721, 1811, 122571, 85701, 30512, 57933, 108941, 20230, 13177, 111482, 27327, 105465, 104599, 19732, 17, 118821, 110426, 66383, 95604, 105242, 17161, 30512, 102181, 50834, 5486, 1049, 21, 8107, 121987, 18476, 30512, 115181, 121256, 113637, 105242, 17161, 15682, 5486, 125559, 55031, 32977, 95543, 110315, 115991, 79721, 1811, 66378, 20230, 52591, 119930, 15682, 108008, 114556, 64209, 29295, 126574, 101200, 16556, 115408, 105459, 102433, 107707, 24273, 29295, 58426, 72238, 116366, 33503, 21105, 243, 20230, 95221, 47000, 16995, 126386, 117840, 9174, 111482, 19732, 27327, 105465, 102473, 16144, 103846, 111482, 27327, 105465, 104599, 120332, 20230, 124773, 91482, 109496, 30512, 39926, 102532, 5486, 112391, 28713, 105908, 16995, 47884, 59739, 32149, 57903, 33541, 1811, 112073, 20230, 55999, 33035, 103792, 104468, 13177, 64209, 118368, 50834, 30512, 103792, 66383, 95604, 100909, 38641, 122262, 87177, 30512, 17885, 118, 16995, 106272, 5486, 109453, 126027, 123726, 24273, 20230, 99750, 91875, 121256, 1811, 27327, 66378, 19361, 16144, 13177, 105324, 107246, 16144, 102987, 30813, 66383, 95604, 125231, 104257, 121370, 26854, 105324, 107246, 25333, 15682, 13177, 23018, 16144, 106548, 24273, 104023, 123726, 24273, 10646, 126529, 111769, 32149, 106046, 61689, 9174, 111482, 16144, 28190, 30512, 15120, 42016, 20230, 43167, 107436, 108112, 30813, 100472, 124834, 91774, 105514, 1811, 26854, 32149, 72661, 104371, 47523, 102987, 16995, 112973, 5486, 124834, 91774, 105514, 29295, 13177, 104734, 66383, 95604, 5486, 70277, 109076, 85707, 23538, 20230, 19967, 109115, 13177, 102333, 102, 104680, 116326, 109954, 100204, 107106, 7705, 38641, 1811, 113146, 30512, 106613, 28713, 39135, 102083, 16995, 117119, 107173, 78244, 119841, 103868, 78183, 16995, 115991, 33541, 1811, 112425, 110480, 20230, 105360, 103854, 104533, 17297, 61304, 16144, 101200, 115717, 33541, 9174, 13177, 31809, 28190, 116326, 22957, 33334, 32977, 38144, 23954, 106496, 61786, 98369, 20230, 28190, 116825, 107441, 32977, 33503, 100472, 110229, 5486, 91774, 30369, 64936, 27479, 113468, 28190, 16144, 112741, 29295, 124500, 30369, 112973, 114652, 78183, 107277, 79721, 118855, 28190, 116825, 76622, 104533, 103984, 98220, 29295, 101462, 255, 109709, 5486, 124349, 99750, 32977, 103470, 109020, 105272, 102131, 38641, 9174, 33334, 87177, 30512, 17885, 118, 100472, 121536, 107875, 55038, 15682, 5486, 115638, 24, 116033, 26892, 38144, 109115, 102944, 1811, 21405, 107875, 55038, 29295, 102212, 48915, 117083, 104468, 21688, 244, 29504, 101365, 61337, 19732, 31640, 104680, 76505, 27327, 107875, 55038, 103378, 102677, 118733, 5486, 106581, 112686, 103306, 16144, 95001, 112603, 29295, 108008, 20230, 126574, 105908, 78183, 107277, 33541, 9174, 33334, 41920, 24273, 112197, 87177, 30512, 17885, 118, 100472, 74482, 36896, 32307, 114172, 108777, 105324, 104509, 117503, 107795, 16144, 103868, 112854, 29295, 28713, 108005, 115, 31431, 17701, 100472, 108881, 50520, 108, 13870, 223, 40265, 19732, 5486, 34208, 86894, 241, 45829, 108948, 24326, 117, 108104, 30512, 16995, 90620, 50834, 79721, 1811, 58666, 103868, 102800, 102944, 15682, 17792, 30512, 106515, 72342, 26854, 95221, 17620, 116446, 124089, 102944, 119627, 36896, 27327, 107875, 55038, 66383, 95604, 115612, 26854, 35894, 56965, 16556, 58666, 106624, 73597, 233, 103868, 119515, 107188, 33334, 13870, 223, 40265, 30512, 16995, 90620, 126145, 5486, 95221, 69978, 103296, 119515, 32149, 108176, 117840, 1811, 17, 82973, 102677, 48249, 109115, 82973, 103351, 16144, 119627, 5486, 17663, 42891, 107277, 96356, 32977, 64209, 32977, 112624, 28713, 84389, 79721, 1811, 128001, 128000, 90115, 5486, 56, 1564, 10110, 31, 10156, 10851, 1564, 7705, 38641, 9174, 61826, 9080, 5486, 39850, 114483, 124766, 35, 2192, 11087, 115867, 13177, 32335, 106649, 16144, 82973, 16556, 112366, 16144, 13153, 28873, 30512, 46034, 109156, 104028, 72404, 126120, 96455, 53508, 231, 104195, 25333, 66383, 95604, 22656, 30512, 109198, 17701, 121256, 9174, 51330, 22656, 77181, 36668, 20230, 5486, 108396, 103350, 111186, 30512, 24186, 20230, 56051, 126120, 96455, 16144, 126521, 53508, 231, 104195, 41007, 125001, 47884, 59739, 32977, 126362, 110731, 16144, 119627, 111476, 58426, 16325, 112028, 59739, 20230, 198, 39880, 29220, 103906, 110101, 118928, 94550, 102677, 53508, 231, 104195, 41007, 29295, 126362, 84389, 100481, 79721, 9174, 827, 94632, 29220, 103906, 110101, 118928, 94550, 107118, 198, 39880, 29220, 103906, 52884, 9458, 32131, 118928, 94550, 10110, 83947, 25, 5847, 6975, 5486, 9080, 25, 91082, 33014, 9554, 5486, 103359, 87177, 9554, 16556, 102987, 16995, 48864, 108710, 119735, 5486, 48864, 23951, 30046, 36668, 33014, 16144, 48864, 108710, 46034, 25333, 112028, 59739, 116787, 5486, 48864, 23951, 30046, 29295, 27327, 91875, 9554, 10110, 39880, 29220, 103906, 52884, 7705, 20230, 48864, 23951, 10110, 32131, 118928, 94550, 7705, 20230, 110284, 54926, 48864, 108710, 25333, 16144, 110022, 25666, 103195, 1811, 510, 16, 933, 54, 15288, 117811, 720, 31634, 54926, 20230, 111476, 107141, 101275, 114475, 76622, 15120, 24273, 112535, 87177, 30512, 104655, 47884, 105933, 101682, 76622, 96356, 16144, 110783, 110095, 77181, 43568, 47884, 5486, 105994, 55031, 108882, 110993, 112535, 103892, 124905, 30297, 102677, 53508, 231, 104195, 41007, 38641, 9174, 39850, 114483, 124766, 35, 2192, 11087, 117940, 51330, 39880, 29220, 103906, 110101, 118928, 94550, 30512, 107188, 31431, 90962, 22398, 22398, 39850, 103792, 116233, 9174, 827, 94632, 29220, 103906, 110101, 118928, 94550, 29295, 32335, 104195, 26854, 114667, 198, 126843, 15682, 51330, 111629, 30512, 48154, 111182, 17297, 65316, 9174, 85701, 15682, 32131, 118928, 94550, 70563, 32131, 101198, 105404, 112031, 127173, 104028, 102944, 16556, 39926, 5486, 101171, 111, 16144, 23187, 100815, 96455, 30512, 21405, 127145, 9174, 85701, 33503, 30512, 102433, 102158, 117735, 78434, 19732, 111476, 12, 9085, 105, 249, 104577, 220, 20, 14062, 12, 108477, 255, 102181, 220, 605, 14062, 12, 106198, 244, 36735, 112, 112854, 220, 508, 14062, 12, 110045, 124373, 71634, 44971, 38248, 115, 78205, 16073, 220, 966, 14062, 12, 115334, 33710, 107610, 118219, 105242, 220, 1135, 14062, 12, 63091, 33503, 33014, 111186, 54926, 220, 2075, 14062, 12, 114163, 17792, 20230, 100927, 105262, 220, 1954, 14062, 16144, 101200, 115717, 33541, 9174, 108031, 112073, 98369, 33334, 95221, 109669, 50834, 123253, 9174, 105994, 16556, 78698, 107800, 31431, 5486, 17792, 20230, 100927, 105262, 104468, 62004, 104702, 47884, 104702, 126120, 96455, 29295, 103424, 47884, 111476, 15120, 24273, 16556, 104575, 16144, 107141, 101275, 71289, 37026, 108710, 50667, 15682, 126120, 96455, 29295, 109161, 16995, 38641, 123794, 9174, 9, 13177, 37271, 103296, 16144, 53508, 231, 104195, 41007, 29295, 66776, 126120, 96455, 103351, 114016, 1981, 10646, 5736, 19732, 102936, 124533, 107001, 24273, 32977, 127181, 102040, 78525, 38641, 9174, 80673, 115847, 15682, 102433, 16144, 104378, 114305, 20230, 109606, 107407, 121142, 117119, 32977, 112073, 115867, 103892, 29295, 109161, 16995, 117735, 111769, 116233, 9174, 104004, 15024, 85791, 115132, 29220, 103906, 110101, 118928, 94550, 30512, 76706, 11883, 54926, 30926, 16556, 111476, 41642, 112586, 104364, 116825, 76622, 104028, 125396, 107407, 116233, 9174, 827, 94632, 29220, 103906, 110101, 118928, 94550, 30512, 20713, 113746, 56965, 103350, 124299, 39926, 64121, 28713, 198, 110382, 77181, 112418, 29295, 103350, 124299, 56051, 39880, 29220, 103906, 110101, 118928, 94550, 30512, 48154, 126362, 56051, 16995, 106046, 61689, 9174, 68431, 73028, 102, 50834, 106272, 83947, 110904, 102158, 30512, 109529, 98499, 198, 114834, 30512, 105564, 50834, 18904, 31431, 106272, 5486, 83947, 110904, 102158, 30512, 40526, 117158, 39926, 102404, 79785, 9174, 120098, 15682, 112160, 18904, 16144, 83947, 110904, 102158, 112649, 105784, 82973, 15682, 109020, 103854, 47884, 106649, 47884, 54926, 30926, 9174, 112418, 15682, 27384, 33014, 966, 56040, 1272, 47018, 16144, 122756, 5486, 115552, 19732, 102404, 79785, 61304, 18476, 30512, 116696, 48552, 39926, 33541, 9174, 68431, 63091, 17620, 16556, 112825, 110904, 26854, 83125, 126694, 30369, 198, 103892, 107809, 16556, 112661, 126101, 17161, 126694, 31431, 102404, 79785, 1811, 112825, 110904, 26854, 17161, 25333, 72661, 4012, 9174, 27452, 23954, 9, 6477, 9, 123038, 103868, 25, 125104, 54926, 5486, 29741, 61304, 54926, 198, 90342, 9879, 520, 279, 19343, 31795, 7, 122571, 76428, 91062, 20230, 125104, 56051, 340, 68431, 220, 966, 17620, 113314, 16144, 107471, 105564, 30512, 21105, 103, 29295, 33503, 5486, 117733, 103927, 16073, 16556, 83947, 110904, 102158, 30512, 112997, 78683, 94550, 198, 83947, 110904, 102158, 13821, 111, 16144, 66378, 105586, 16556, 114652, 101182, 5486, 92693, 16144, 79785, 71174, 99959, 115691, 42634, 65575, 30512, 107471, 105564, 126867, 103984, 36735, 112, 9174, 61826, 108680, 16144, 32131, 118928, 94550, 70563, 32131, 101198, 105404, 32943, 77181, 5486, 103984, 36735, 112, 112854, 15682, 966, 4, 39607, 16144, 23187, 100815, 96455, 16556, 56051, 15024, 5486, 114654, 121960, 112997, 78683, 94550, 48634, 15682, 107188, 31431, 107693, 38641, 9174, 53900, 5486, 88435, 33035, 112586, 39880, 29220, 103906, 52884, 20230, 33014, 30512, 91875, 32149, 17663, 30926, 113468, 5486, 34226, 109020, 23187, 100815, 96455, 30512, 101462, 247, 76947, 33541, 9174, 68431, 220, 34617, 9080, 123090, 109095, 108710, 198, 127637, 112727, 103468, 119400, 20230, 109095, 108710, 123410, 30926, 15682, 72404, 8239, 114503, 9554, 9174, 105755, 101171, 111, 30512, 18904, 108436, 107726, 5486, 83947, 110904, 102158, 30512, 23187, 100815, 107726, 33541, 9174, 114652, 71289, 31431, 29295, 43514, 26854, 112973, 5486, 112727, 110615, 101200, 40265, 117816, 109095, 108710, 30512, 39926, 114732, 30926, 9174, 119627, 111476, 48864, 108710, 121960, 107693, 26854, 112973, 127637, 112727, 104028, 30926, 105321, 38641, 9174, 112727, 104028, 30926, 16144, 107693, 34171, 15682, 117896, 16144, 77219, 16556, 50338, 108323, 127145, 3490, 827, 220, 20713, 113746, 56965, 5486, 103350, 124299, 39926, 64121, 28713, 113702, 198, 48864, 108710, 113115, 54926, 113727, 24273, 30512, 104721, 107800, 103846, 5486, 71634, 108744, 29295, 117355, 114485, 84389, 79721, 9174, 53900, 5486, 121410, 9080, 107471, 105564, 30512, 103792, 105879, 113614, 9554, 38641, 9174, 80539, 112160, 118821, 83947, 110904, 102158, 112649, 105784, 82973, 30512, 106649, 47884, 15024, 5486, 9039, 30512, 22957, 26854, 17663, 30926, 16556, 5486, 105184, 103350, 20230, 103672, 107391, 110101, 102540, 29295, 115079, 58942, 79721, 9174, 37656, 74245, 115515, 74482, 32977, 101860, 104043, 51330, 39880, 29220, 103906, 110101, 118928, 94550, 15682, 15024, 106307, 105784, 59739, 123731, 38641, 9174, 827, 220, 123011, 62004, 198, 39880, 29220, 103906, 110101, 118928, 94550, 15682, 5486, 108396, 9554, 102831, 26955, 254, 20230, 75146, 109669, 102334, 32335, 104195, 16144, 53508, 231, 104195, 41007, 119775, 91763, 58942, 33541, 9174, 66378, 20230, 36896, 198, 9, 37026, 110362, 16556, 76428, 25005, 225, 19732, 53508, 231, 104195, 54926, 104468, 78683, 102472, 57933, 10646, 9, 102677, 24273, 102052, 104195, 47884, 90962, 22398, 22398, 39850, 56051, 16995, 38641, 9174, 104328, 28713, 17663, 33503, 121846, 102181, 30512, 98499, 64121, 103130, 109315, 16144, 126194, 5486, 76208, 99750, 124905, 16995, 5486, 126120, 96455, 114652, 53508, 231, 104195, 30512, 103801, 109954, 6447, 128001, 128000, 90115, 5486, 106644, 58942, 38641, 9174, 61826, 9080, 114387, 103223, 25197, 84477, 30512, 121256, 9174, 16519, 3711, 71289, 6204, 82252, 29295, 114715, 112772, 87177, 104482, 115717, 79721, 9174, 124981, 33710, 102514, 9458, 105988, 25197, 117429, 19732, 112844, 114754, 36896, 110665, 48634, 19732, 16937, 50211, 50667, 124911, 104770, 102512, 66383, 95604, 22656, 16556, 5486, 102669, 106106, 9458, 125981, 9458, 103553, 102, 127258, 9458, 115075, 103429, 30512, 50834, 42891, 126929, 20230, 17792, 104770, 29295, 124500, 104533, 119852, 61689, 125939, 74482, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 102677, 17039, 28713, 26854, 108167, 103214, 64121, 107407, 105879, 5486, 52884, 77750, 16556, 102181, 108895, 106046, 61689, 9174, 2345, 18049, 228, 58942, 8165, 88, 361, 62, 39721, 931, 39721, 8, 7552, 220, 1591, 11, 220, 2366, 15, 198, 85701, 117758, 102616, 109853, 78698, 105262, 17905, 16556, 5486, 107693, 26854, 112258, 113, 121711, 120550, 127123, 109904, 20119, 254, 103214, 64121, 29295, 120955, 127145, 9174, 58426, 15120, 59739, 29295, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 38641, 9174, 102078, 11795, 223, 104773, 71289, 38093, 104760, 71289, 25197, 102832, 52414, 16556, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 42634, 103621, 119707, 28713, 67645, 100472, 5486, 71493, 32131, 52591, 33710, 26854, 45923, 109793, 103223, 25287, 16144, 66953, 26269, 76428, 30512, 22398, 109089, 107294, 76622, 100934, 17792, 104088, 32149, 107674, 17792, 32977, 107991, 16144, 111769, 123253, 32149, 95532 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5486, 102321, 25359, 54926, 9039, 83747, 100604, 102571, 121536, 32943, 107875, 55038, 38641, 123601, 107875, 55038, 19732, 112361, 102571, 121536, 123727, 34208, 102452, 10110, 121536, 107875, 55038, 7705, 16556, 5486, 109088, 40265, 46729, 16144, 124834, 91774, 101557, 230, 15120, 105514, 19732, 5486, 110022, 40862, 106581, 102803, 102514, 16556, 44620, 111482, 19732, 27327, 105465, 102473, 36761, 16556, 121987, 18476, 30512, 115181, 103646, 5486, 106496, 61786, 96452, 90962, 45829, 98369, 112197, 87177, 30512, 17885, 118, 16995, 79721, 9174, 105021, 106496, 61786, 96452, 90962, 45829, 98369, 112197, 87177, 103705, 198, 27327, 16144, 114172, 102512, 30512, 27869, 238, 19732, 126145, 5486, 17597, 104, 58850, 29295, 107875, 106358, 113146, 32977, 57903, 79721, 29295, 5486, 102452, 102865, 113146, 20230, 114181, 103478, 124625, 5486, 101083, 103478, 124625, 104503, 45829, 29295, 27384, 13153, 15024, 5486, 103787, 46729, 20230, 109189, 84389, 5486, 70277, 109076, 113146, 20230, 106633, 102697, 29295, 108167, 106548, 102769, 30369, 101200, 117084, 126328, 5486, 111482, 29295, 27327, 107875, 55038, 20230, 30591, 29295, 30369, 109335, 110008, 84389, 123733, 31431, 13177, 27327, 15682, 123737, 16144, 102944, 66383, 26854, 31431, 79721, 1811, 111482, 27327, 105465, 104599, 29295, 107420, 103306, 104736, 62004, 110071, 101200, 110276, 104468, 5486, 102669, 74482, 115638, 1419, 116358, 100909, 38641, 9174, 1049, 19, 8107, 5486, 102780, 80195, 120630, 45829, 98369, 30512, 96412, 104004, 1313, 13372, 16144, 111482, 27327, 105465, 104599, 29295, 107693, 43568, 83799, 106581, 112686, 103306, 104736, 23187, 114475, 76622, 79721, 1811, 122571, 85701, 30512, 57933, 108941, 20230, 13177, 111482, 27327, 105465, 104599, 19732, 17, 118821, 110426, 66383, 95604, 105242, 17161, 30512, 102181, 50834, 5486, 1049, 21, 8107, 121987, 18476, 30512, 115181, 121256, 113637, 105242, 17161, 15682, 5486, 125559, 55031, 32977, 95543, 110315, 115991, 79721, 1811, 66378, 20230, 52591, 119930, 15682, 108008, 114556, 64209, 29295, 126574, 101200, 16556, 115408, 105459, 102433, 107707, 24273, 29295, 58426, 72238, 116366, 33503, 21105, 243, 20230, 95221, 47000, 16995, 126386, 117840, 9174, 111482, 19732, 27327, 105465, 102473, 16144, 103846, 111482, 27327, 105465, 104599, 120332, 20230, 124773, 91482, 109496, 30512, 39926, 102532, 5486, 112391, 28713, 105908, 16995, 47884, 59739, 32149, 57903, 33541, 1811, 112073, 20230, 55999, 33035, 103792, 104468, 13177, 64209, 118368, 50834, 30512, 103792, 66383, 95604, 100909, 38641, 122262, 87177, 30512, 17885, 118, 16995, 106272, 5486, 109453, 126027, 123726, 24273, 20230, 99750, 91875, 121256, 1811, 27327, 66378, 19361, 16144, 13177, 105324, 107246, 16144, 102987, 30813, 66383, 95604, 125231, 104257, 121370, 26854, 105324, 107246, 25333, 15682, 13177, 23018, 16144, 106548, 24273, 104023, 123726, 24273, 10646, 126529, 111769, 32149, 106046, 61689, 9174, 111482, 16144, 28190, 30512, 15120, 42016, 20230, 43167, 107436, 108112, 30813, 100472, 124834, 91774, 105514, 1811, 26854, 32149, 72661, 104371, 47523, 102987, 16995, 112973, 5486, 124834, 91774, 105514, 29295, 13177, 104734, 66383, 95604, 5486, 70277, 109076, 85707, 23538, 20230, 19967, 109115, 13177, 102333, 102, 104680, 116326, 109954, 100204, 107106, 7705, 38641, 1811, 113146, 30512, 106613, 28713, 39135, 102083, 16995, 117119, 107173, 78244, 119841, 103868, 78183, 16995, 115991, 33541, 1811, 112425, 110480, 20230, 105360, 103854, 104533, 17297, 61304, 16144, 101200, 115717, 33541, 9174, 13177, 31809, 28190, 116326, 22957, 33334, 32977, 38144, 23954, 106496, 61786, 98369, 20230, 28190, 116825, 107441, 32977, 33503, 100472, 110229, 5486, 91774, 30369, 64936, 27479, 113468, 28190, 16144, 112741, 29295, 124500, 30369, 112973, 114652, 78183, 107277, 79721, 118855, 28190, 116825, 76622, 104533, 103984, 98220, 29295, 101462, 255, 109709, 5486, 124349, 99750, 32977, 103470, 109020, 105272, 102131, 38641, 9174, 33334, 87177, 30512, 17885, 118, 100472, 121536, 107875, 55038, 15682, 5486, 115638, 24, 116033, 26892, 38144, 109115, 102944, 1811, 21405, 107875, 55038, 29295, 102212, 48915, 117083, 104468, 21688, 244, 29504, 101365, 61337, 19732, 31640, 104680, 76505, 27327, 107875, 55038, 103378, 102677, 118733, 5486, 106581, 112686, 103306, 16144, 95001, 112603, 29295, 108008, 20230, 126574, 105908, 78183, 107277, 33541, 9174, 33334, 41920, 24273, 112197, 87177, 30512, 17885, 118, 100472, 74482, 36896, 32307, 114172, 108777, 105324, 104509, 117503, 107795, 16144, 103868, 112854, 29295, 28713, 108005, 115, 31431, 17701, 100472, 108881, 50520, 108, 13870, 223, 40265, 19732, 5486, 34208, 86894, 241, 45829, 108948, 24326, 117, 108104, 30512, 16995, 90620, 50834, 79721, 1811, 58666, 103868, 102800, 102944, 15682, 17792, 30512, 106515, 72342, 26854, 95221, 17620, 116446, 124089, 102944, 119627, 36896, 27327, 107875, 55038, 66383, 95604, 115612, 26854, 35894, 56965, 16556, 58666, 106624, 73597, 233, 103868, 119515, 107188, 33334, 13870, 223, 40265, 30512, 16995, 90620, 126145, 5486, 95221, 69978, 103296, 119515, 32149, 108176, 117840, 1811, 17, 82973, 102677, 48249, 109115, 82973, 103351, 16144, 119627, 5486, 17663, 42891, 107277, 96356, 32977, 64209, 32977, 112624, 28713, 84389, 79721, 1811, 128001, 128000, 90115, 5486, 56, 1564, 10110, 31, 10156, 10851, 1564, 7705, 38641, 9174, 61826, 9080, 5486, 39850, 114483, 124766, 35, 2192, 11087, 115867, 13177, 32335, 106649, 16144, 82973, 16556, 112366, 16144, 13153, 28873, 30512, 46034, 109156, 104028, 72404, 126120, 96455, 53508, 231, 104195, 25333, 66383, 95604, 22656, 30512, 109198, 17701, 121256, 9174, 51330, 22656, 77181, 36668, 20230, 5486, 108396, 103350, 111186, 30512, 24186, 20230, 56051, 126120, 96455, 16144, 126521, 53508, 231, 104195, 41007, 125001, 47884, 59739, 32977, 126362, 110731, 16144, 119627, 111476, 58426, 16325, 112028, 59739, 20230, 198, 39880, 29220, 103906, 110101, 118928, 94550, 102677, 53508, 231, 104195, 41007, 29295, 126362, 84389, 100481, 79721, 9174, 827, 94632, 29220, 103906, 110101, 118928, 94550, 107118, 198, 39880, 29220, 103906, 52884, 9458, 32131, 118928, 94550, 10110, 83947, 25, 5847, 6975, 5486, 9080, 25, 91082, 33014, 9554, 5486, 103359, 87177, 9554, 16556, 102987, 16995, 48864, 108710, 119735, 5486, 48864, 23951, 30046, 36668, 33014, 16144, 48864, 108710, 46034, 25333, 112028, 59739, 116787, 5486, 48864, 23951, 30046, 29295, 27327, 91875, 9554, 10110, 39880, 29220, 103906, 52884, 7705, 20230, 48864, 23951, 10110, 32131, 118928, 94550, 7705, 20230, 110284, 54926, 48864, 108710, 25333, 16144, 110022, 25666, 103195, 1811, 510, 16, 933, 54, 15288, 117811, 720, 31634, 54926, 20230, 111476, 107141, 101275, 114475, 76622, 15120, 24273, 112535, 87177, 30512, 104655, 47884, 105933, 101682, 76622, 96356, 16144, 110783, 110095, 77181, 43568, 47884, 5486, 105994, 55031, 108882, 110993, 112535, 103892, 124905, 30297, 102677, 53508, 231, 104195, 41007, 38641, 9174, 39850, 114483, 124766, 35, 2192, 11087, 117940, 51330, 39880, 29220, 103906, 110101, 118928, 94550, 30512, 107188, 31431, 90962, 22398, 22398, 39850, 103792, 116233, 9174, 827, 94632, 29220, 103906, 110101, 118928, 94550, 29295, 32335, 104195, 26854, 114667, 198, 126843, 15682, 51330, 111629, 30512, 48154, 111182, 17297, 65316, 9174, 85701, 15682, 32131, 118928, 94550, 70563, 32131, 101198, 105404, 112031, 127173, 104028, 102944, 16556, 39926, 5486, 101171, 111, 16144, 23187, 100815, 96455, 30512, 21405, 127145, 9174, 85701, 33503, 30512, 102433, 102158, 117735, 78434, 19732, 111476, 12, 9085, 105, 249, 104577, 220, 20, 14062, 12, 108477, 255, 102181, 220, 605, 14062, 12, 106198, 244, 36735, 112, 112854, 220, 508, 14062, 12, 110045, 124373, 71634, 44971, 38248, 115, 78205, 16073, 220, 966, 14062, 12, 115334, 33710, 107610, 118219, 105242, 220, 1135, 14062, 12, 63091, 33503, 33014, 111186, 54926, 220, 2075, 14062, 12, 114163, 17792, 20230, 100927, 105262, 220, 1954, 14062, 16144, 101200, 115717, 33541, 9174, 108031, 112073, 98369, 33334, 95221, 109669, 50834, 123253, 9174, 105994, 16556, 78698, 107800, 31431, 5486, 17792, 20230, 100927, 105262, 104468, 62004, 104702, 47884, 104702, 126120, 96455, 29295, 103424, 47884, 111476, 15120, 24273, 16556, 104575, 16144, 107141, 101275, 71289, 37026, 108710, 50667, 15682, 126120, 96455, 29295, 109161, 16995, 38641, 123794, 9174, 9, 13177, 37271, 103296, 16144, 53508, 231, 104195, 41007, 29295, 66776, 126120, 96455, 103351, 114016, 1981, 10646, 5736, 19732, 102936, 124533, 107001, 24273, 32977, 127181, 102040, 78525, 38641, 9174, 80673, 115847, 15682, 102433, 16144, 104378, 114305, 20230, 109606, 107407, 121142, 117119, 32977, 112073, 115867, 103892, 29295, 109161, 16995, 117735, 111769, 116233, 9174, 104004, 15024, 85791, 115132, 29220, 103906, 110101, 118928, 94550, 30512, 76706, 11883, 54926, 30926, 16556, 111476, 41642, 112586, 104364, 116825, 76622, 104028, 125396, 107407, 116233, 9174, 827, 94632, 29220, 103906, 110101, 118928, 94550, 30512, 20713, 113746, 56965, 103350, 124299, 39926, 64121, 28713, 198, 110382, 77181, 112418, 29295, 103350, 124299, 56051, 39880, 29220, 103906, 110101, 118928, 94550, 30512, 48154, 126362, 56051, 16995, 106046, 61689, 9174, 68431, 73028, 102, 50834, 106272, 83947, 110904, 102158, 30512, 109529, 98499, 198, 114834, 30512, 105564, 50834, 18904, 31431, 106272, 5486, 83947, 110904, 102158, 30512, 40526, 117158, 39926, 102404, 79785, 9174, 120098, 15682, 112160, 18904, 16144, 83947, 110904, 102158, 112649, 105784, 82973, 15682, 109020, 103854, 47884, 106649, 47884, 54926, 30926, 9174, 112418, 15682, 27384, 33014, 966, 56040, 1272, 47018, 16144, 122756, 5486, 115552, 19732, 102404, 79785, 61304, 18476, 30512, 116696, 48552, 39926, 33541, 9174, 68431, 63091, 17620, 16556, 112825, 110904, 26854, 83125, 126694, 30369, 198, 103892, 107809, 16556, 112661, 126101, 17161, 126694, 31431, 102404, 79785, 1811, 112825, 110904, 26854, 17161, 25333, 72661, 4012, 9174, 27452, 23954, 9, 6477, 9, 123038, 103868, 25, 125104, 54926, 5486, 29741, 61304, 54926, 198, 90342, 9879, 520, 279, 19343, 31795, 7, 122571, 76428, 91062, 20230, 125104, 56051, 340, 68431, 220, 966, 17620, 113314, 16144, 107471, 105564, 30512, 21105, 103, 29295, 33503, 5486, 117733, 103927, 16073, 16556, 83947, 110904, 102158, 30512, 112997, 78683, 94550, 198, 83947, 110904, 102158, 13821, 111, 16144, 66378, 105586, 16556, 114652, 101182, 5486, 92693, 16144, 79785, 71174, 99959, 115691, 42634, 65575, 30512, 107471, 105564, 126867, 103984, 36735, 112, 9174, 61826, 108680, 16144, 32131, 118928, 94550, 70563, 32131, 101198, 105404, 32943, 77181, 5486, 103984, 36735, 112, 112854, 15682, 966, 4, 39607, 16144, 23187, 100815, 96455, 16556, 56051, 15024, 5486, 114654, 121960, 112997, 78683, 94550, 48634, 15682, 107188, 31431, 107693, 38641, 9174, 53900, 5486, 88435, 33035, 112586, 39880, 29220, 103906, 52884, 20230, 33014, 30512, 91875, 32149, 17663, 30926, 113468, 5486, 34226, 109020, 23187, 100815, 96455, 30512, 101462, 247, 76947, 33541, 9174, 68431, 220, 34617, 9080, 123090, 109095, 108710, 198, 127637, 112727, 103468, 119400, 20230, 109095, 108710, 123410, 30926, 15682, 72404, 8239, 114503, 9554, 9174, 105755, 101171, 111, 30512, 18904, 108436, 107726, 5486, 83947, 110904, 102158, 30512, 23187, 100815, 107726, 33541, 9174, 114652, 71289, 31431, 29295, 43514, 26854, 112973, 5486, 112727, 110615, 101200, 40265, 117816, 109095, 108710, 30512, 39926, 114732, 30926, 9174, 119627, 111476, 48864, 108710, 121960, 107693, 26854, 112973, 127637, 112727, 104028, 30926, 105321, 38641, 9174, 112727, 104028, 30926, 16144, 107693, 34171, 15682, 117896, 16144, 77219, 16556, 50338, 108323, 127145, 3490, 827, 220, 20713, 113746, 56965, 5486, 103350, 124299, 39926, 64121, 28713, 113702, 198, 48864, 108710, 113115, 54926, 113727, 24273, 30512, 104721, 107800, 103846, 5486, 71634, 108744, 29295, 117355, 114485, 84389, 79721, 9174, 53900, 5486, 121410, 9080, 107471, 105564, 30512, 103792, 105879, 113614, 9554, 38641, 9174, 80539, 112160, 118821, 83947, 110904, 102158, 112649, 105784, 82973, 30512, 106649, 47884, 15024, 5486, 9039, 30512, 22957, 26854, 17663, 30926, 16556, 5486, 105184, 103350, 20230, 103672, 107391, 110101, 102540, 29295, 115079, 58942, 79721, 9174, 37656, 74245, 115515, 74482, 32977, 101860, 104043, 51330, 39880, 29220, 103906, 110101, 118928, 94550, 15682, 15024, 106307, 105784, 59739, 123731, 38641, 9174, 827, 220, 123011, 62004, 198, 39880, 29220, 103906, 110101, 118928, 94550, 15682, 5486, 108396, 9554, 102831, 26955, 254, 20230, 75146, 109669, 102334, 32335, 104195, 16144, 53508, 231, 104195, 41007, 119775, 91763, 58942, 33541, 9174, 66378, 20230, 36896, 198, 9, 37026, 110362, 16556, 76428, 25005, 225, 19732, 53508, 231, 104195, 54926, 104468, 78683, 102472, 57933, 10646, 9, 102677, 24273, 102052, 104195, 47884, 90962, 22398, 22398, 39850, 56051, 16995, 38641, 9174, 104328, 28713, 17663, 33503, 121846, 102181, 30512, 98499, 64121, 103130, 109315, 16144, 126194, 5486, 76208, 99750, 124905, 16995, 5486, 126120, 96455, 114652, 53508, 231, 104195, 30512, 103801, 109954, 6447, 128001, 128000, 90115, 5486, 106644, 58942, 38641, 9174, 61826, 9080, 114387, 103223, 25197, 84477, 30512, 121256, 9174, 16519, 3711, 71289, 6204, 82252, 29295, 114715, 112772, 87177, 104482, 115717, 79721, 9174, 124981, 33710, 102514, 9458, 105988, 25197, 117429, 19732, 112844, 114754, 36896, 110665, 48634, 19732, 16937, 50211, 50667, 124911, 104770, 102512, 66383, 95604, 22656, 16556, 5486, 102669, 106106, 9458, 125981, 9458, 103553, 102, 127258, 9458, 115075, 103429, 30512, 50834, 42891, 126929, 20230, 17792, 104770, 29295, 124500, 104533, 119852, 61689, 125939, 74482, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 102677, 17039, 28713, 26854, 108167, 103214, 64121, 107407, 105879, 5486, 52884, 77750, 16556, 102181, 108895, 106046, 61689, 9174, 2345, 18049, 228, 58942, 8165, 88, 361, 62, 39721, 931, 39721, 8, 7552, 220, 1591, 11, 220, 2366, 15, 198, 85701, 117758, 102616, 109853, 78698, 105262, 17905, 16556, 5486, 107693, 26854, 112258, 113, 121711, 120550, 127123, 109904, 20119, 254, 103214, 64121, 29295, 120955, 127145, 9174, 58426, 15120, 59739, 29295, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 38641, 9174, 102078, 11795, 223, 104773, 71289, 38093, 104760, 71289, 25197, 102832, 52414, 16556, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 42634, 103621, 119707, 28713, 67645, 100472, 5486, 71493, 32131, 52591, 33710, 26854, 45923, 109793, 103223, 25287, 16144, 66953, 26269, 76428, 30512, 22398, 109089, 107294, 76622, 100934, 17792, 104088, 32149, 107674, 17792, 32977, 107991, 16144, 111769, 123253, 32149, 95532 ]
[ 37271, 18904, 15682, 102616, 16144, 117501, 109853, 112197, 87177, 38641, 9174, 567, 34676, 5608, 82252, 107118, 11199, 127960, 106045, 54872, 16144, 17039, 102800, 20119, 254, 103214, 64121, 76739, 22398, 103857, 78767, 106240, 765, 103774, 104983, 109904, 108167, 103214, 64121, 198, 14711, 8189, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 103621, 64178, 109853, 198, 12, 109517, 100, 110482, 30512, 103470, 102131, 198, 12, 107860, 95, 101960, 241, 30512, 108270, 42634, 20230, 198, 12, 105228, 38144, 124911, 20230, 113614, 19732, 103005, 55228, 231, 30512, 198, 12, 110124, 103, 16144, 126574, 104378, 30512, 198, 12, 108738, 78349, 108506, 11972, 50211, 50667, 30512, 103350, 102321, 119607, 198, 12, 106722, 37087, 26854, 53610, 19732, 20251, 25197, 44971, 30512, 102616, 126867, 198, 12, 107748, 124643, 104603, 11972, 30512, 64121, 103171, 20230, 80539, 29220, 102540, 16073, 20230, 198, 12, 126176, 235, 50834, 125001, 32977, 106613, 111587, 13153, 101544, 32977, 198, 12, 220, 106518, 101275, 19732, 112113, 107804, 17039, 16144, 75146, 114457, 116825, 47884, 103950, 198, 12, 102362, 71289, 125525, 16937, 50211, 50667, 30512, 103470, 102131, 198, 12, 118942, 64121, 106307, 76622, 110071, 17129, 43514, 109669, 47884, 31431, 30512, 198, 12, 220, 59739, 109749, 113160, 49988, 59739, 32149, 30297, 113160, 49988, 198, 12, 103241, 245, 103550, 104721, 91875, 20230, 118789, 109904, 103359, 105226, 30512, 198, 12, 109283, 16144, 119515, 32149, 30813, 30512, 106154, 103950, 198, 12, 103230, 116, 16144, 119515, 32149, 30813, 32977, 106154, 103950, 198, 12, 105355, 34208, 19732, 35417, 37656, 30512, 122617, 124911, 20230, 198, 12, 110138, 84477, 96452, 38248, 115, 103830, 16556, 30832, 105888, 30512, 104067, 13153, 119607, 198, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 121782, 59739, 109709, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 15682, 69978, 106307, 88367, 26854, 102616, 16144, 103350, 102321, 16144, 113009, 23187, 62004, 109115, 102616, 55999, 33035, 16144, 30832, 105888, 16144, 100909, 38641, 9174, 69978, 106307, 88367, 26854, 102616, 107118, 115515, 112599, 104654, 103792, 86127, 126027, 105318, 30512, 112624, 110467, 5486, 32149, 59739, 45163, 37507, 16144, 101083, 31640, 29295, 109215, 117408, 103087, 106518, 30512, 125173, 26854, 30297, 100909, 16144, 100604, 106222, 16144, 100909, 38641, 9174, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 103760, 33014, 119012, 104468, 5486, 1049, 15, 8107, 55031, 679, 20, 8107, 112649, 107441, 103130, 62004, 109115, 5486, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 114654, 25, 72037, 11050, 55293, 9174, 122401, 108968, 17905, 29504, 30512, 103359, 47523, 120650, 100472, 30832, 105888, 19732, 5486, 1691, 16144, 47307, 38248, 110, 67075, 29295, 116700, 84389, 29504, 89046, 71289, 6269, 46, 123160, 35417, 9554, 101513, 97518, 30512, 104356, 20230, 84851, 103130, 84389, 79721, 29295, 5486, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 29295, 19012, 110, 102639, 28713, 30832, 105888, 16144, 102717, 19732, 124592, 15682, 104067, 13153, 84389, 100604, 110674, 105721, 116547, 79721, 9174, 567, 14306, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 16144, 103350, 116486, 19732, 30832, 105888, 198, 30832, 105888, 5232, 679, 20, 8107, 103296, 20230, 122617, 117255, 67645, 32977, 29295, 71208, 58850, 16144, 24775, 103283, 103470, 85707, 50667, 104378, 16144, 37087, 111681, 39607, 30512, 23951, 35287, 108608, 104466, 54926, 9174, 103350, 116486, 5232, 806, 4, 120938, 123716, 5486, 115442, 100472, 102944, 32977, 104067, 13153, 102052, 105110, 101860, 9174, 30832, 105888, 5232, 679, 20, 8107, 103296, 20230, 20, 97049, 39442, 112624, 116581, 16144, 121993, 96455, 30512, 17, 14, 18, 20230, 114485, 83747, 124545, 9174, 103350, 116486, 5232, 4331, 4, 16144, 114485, 83747, 17, 14, 18, 20230, 109948, 32149, 101860, 9174, 30832, 105888, 5232, 679, 20, 8107, 103296, 20230, 100525, 232, 122924, 121993, 96455, 30512, 18, 14, 19, 20230, 114485, 83747, 124545, 9174, 103350, 116486, 5232, 1774, 4, 16144, 114485, 83747, 18, 14, 19, 20230, 109948, 32149, 101860, 9174, 108895, 56051, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 16144, 95543, 66870, 30512, 21990, 32149, 21105, 97, 59739, 106116, 22649, 104611, 19732, 41007, 105242, 30512, 111800, 110322, 54926, 20119, 254, 103214, 64121, 103306, 105226, 23187, 103646, 112973, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 38641, 9174, 567, 8189, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 18, 118821, 66378, 17599, 112, 198, 14711, 220, 16, 13, 47307, 115592, 25287, 30832, 105888, 116700, 198, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 77181, 5486, 1114, 16144, 30832, 105888, 16144, 17297, 20230, 11739, 16144, 47307, 38248, 110, 67075, 29295, 125702, 61304, 116216, 61689, 9174, 47307, 38248, 110, 67075, 15682, 5486, 30832, 105888, 30512, 122270, 104398, 32149, 47884, 17620, 107674, 31809, 30832, 105888, 120264, 20230, 78698, 107290, 33334, 47884, 102083, 117201, 109954, 9174, 58426, 16325, 102052, 118789, 109904, 9039, 112603, 30832, 105888, 29295, 109466, 31431, 104526, 17129, 115032, 102944, 32977, 57903, 33541, 9174, 27452, 116285, 5486, 30832, 105888, 16, 87217, 16144, 13177, 80631, 100, 110482, 30512, 103470, 102131, 117503, 16, 87217, 118322, 47307, 38248, 110, 67075, 15682, 5486, 9639, 15, 8107, 103296, 20230, 112599, 16, 9080, 16, 13, 914, 120389, 88852, 16556, 104654, 123410, 17792, 104680, 19732, 23187, 104577, 110731, 5486, 110993, 27479, 16144, 80631, 100, 110482, 30512, 30591, 33503, 106644, 30369, 116245, 16556, 105721, 78183, 117063, 104533, 57903, 106116, 9039, 112603, 15682, 110993, 107436, 118789, 9554, 38641, 9174, 108895, 56051, 111681, 104482, 116700, 15682, 5486, 30832, 105888, 30512, 22649, 101067, 105242, 16556, 105721, 78183, 117063, 100604, 124122, 103350, 124299, 109904, 30832, 105888, 30512, 30832, 64467, 127145, 9174, 14711, 220, 17, 13, 103359, 47523, 15682, 61826, 103130, 29504, 19732, 122401, 108968, 17905, 125525, 110176, 24273, 198, 122401, 108968, 17905, 29504, 116771, 30512, 103359, 47523, 103306, 102334, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 107118, 108901, 26854, 31431, 5486, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 15682, 61826, 103130, 29504, 19732, 122401, 108968, 17905, 125525, 110176, 24273, 29295, 103359, 47523, 104856, 76947, 61689, 9174, 41758, 42634, 112164, 33710, 33208, 29295, 116748, 56051, 110589, 77181, 5486, 106444, 56965, 16144, 103087, 39084, 9458, 17792, 103234, 9458, 108134, 16144, 89753, 33035, 15682, 104735, 101, 27384, 26854, 33857, 104856, 76947, 61689, 9174, 58426, 103846, 108968, 17905, 125525, 117409, 16556, 109606, 29295, 102404, 21990, 103792, 104466, 91774, 107290, 32977, 5486, 103350, 104983, 102052, 125525, 20119, 254, 103214, 64121, 30512, 72404, 107290, 109242, 40862, 109904, 113385, 29295, 103214, 64121, 40862, 78183, 30813, 103836, 113009, 112160, 29504, 77181, 50338, 104662, 29295, 111108, 106624, 38144, 112909, 126268, 102204, 126386, 127749, 20230, 57903, 79721, 9174, 14711, 220, 18, 13, 41758, 42634, 112164, 33710, 114435, 29295, 105226, 23187, 20230, 110284, 198, 108031, 15120, 59739, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 110792, 122074, 109904, 121953, 15682, 5486, 29504, 89046, 71289, 6269, 46, 123160, 35417, 9554, 101513, 97518, 121142, 103470, 114435, 29295, 105226, 23187, 103768, 11883, 20230, 119448, 47884, 97518, 78183, 103836, 100909, 38641, 9174, 112167, 60632, 121606, 103195, 114435, 15682, 60632, 103558, 97, 30512, 104862, 32018, 21105, 103, 118145, 26854, 31431, 107515, 29295, 108048, 19732, 115963, 20230, 69978, 106307, 125396, 30512, 104862, 32018, 54926, 105908, 114435, 125030, 114598, 101544, 23538, 109904, 60632, 105576, 16144, 105184, 33563, 107294, 105722, 30369, 102677, 114181, 28542, 123017, 19732, 5486, 106518, 101275, 38093, 111363, 108975, 123457, 32018, 109315, 44915, 117084, 61689, 9174, 110577, 20230, 127123, 106222, 15682, 51330, 1114, 16144, 30832, 105888, 19732, 11739, 16144, 47307, 38248, 110, 67075, 121254, 107441, 91875, 50834, 20834, 127145, 9174, 104067, 13153, 30832, 105888, 15682, 9639, 15, 8107, 9174, 102208, 30832, 105888, 30512, 98499, 64121, 50338, 47884, 100909, 113468, 5486, 9639, 15, 116358, 102616, 29295, 67645, 16144, 101200, 108176, 104865, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 30512, 46034, 29295, 107277, 20230, 5486, 9639, 15, 116358, 102616, 104088, 33035, 39926, 64121, 30369, 102677, 112973, 109215, 117084, 50834, 33541, 9174, 77693, 20230, 21601, 107290, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 19732, 112361, 679, 20, 116033, 40862, 37689, 29295, 102971, 81219, 103468, 5486, 80805, 37823, 108975, 23187, 71289, 60358, 116358, 114734, 101275, 98220, 30512, 105350, 112959, 103792, 1600, 38, 126330, 102083, 100472, 5486, 69978, 106307, 88367, 26854, 102616, 16144, 103350, 102321, 30512, 30832, 64467, 17663, 17039, 102800, 91875, 50834, 109853, 32977, 113727, 100481, 47884, 109215, 115991, 33541, 9174, 567, 8189, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 30512, 104405, 113727, 104984, 104712, 32149, 198, 102616, 112535, 26130, 118146, 118959, 102802, 100934, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 119627, 108948, 27929, 124749, 102433, 17792, 103195, 71689, 30591, 109709, 101921, 239, 20230, 120175, 100604, 102944, 32977, 101182, 106046, 61689, 9174, 27452, 116285, 72406, 95, 101960, 241, 104309, 123085, 55031, 91774, 127567, 110596, 47884, 112391, 30369, 87177, 32977, 57903, 33541, 15024, 123213, 105284, 109904, 105494, 16556, 17620, 107277, 109669, 110706, 32938, 115991, 33541, 9174, 9080, 40053, 16144, 104654, 30512, 37705, 30369, 16325, 16556, 5486, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 30926, 29295, 103892, 16144, 35818, 37795, 227, 117083, 116537, 83747, 100604, 105933, 116499, 78434, 9174, 33334, 27929, 124749, 9080, 104680, 16144, 123120, 30512, 125119, 17663, 108680, 109834, 103868, 71289, 113954, 29295, 102780, 31431, 126386, 105933, 116499, 78434, 9174, 103350, 104983, 20230, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 30832, 105888, 20230, 118146, 33035, 17663, 19732, 106116, 123011, 109709, 16144, 26854, 30813, 20230, 109076, 115461, 30297, 105933, 116499, 78434, 9174, 27452, 116285, 30832, 105888, 16144, 17, 87217, 30832, 102052, 13177, 72406, 95, 101960, 241, 30512, 108270, 42634, 20230, 66383, 57903, 33541, 29295, 5486, 102321, 103397, 102433, 77181, 112185, 125764, 110071, 102456, 103234, 30512, 25766, 225, 77062, 226, 54926, 52591, 65575, 42634, 22398, 102677, 109606, 29295, 87177, 104482, 117084, 61689, 9174, 51330, 30832, 105888, 30512, 105994, 48154, 19732, 103306, 15017, 231, 58942, 110071, 114754, 33334, 27929, 124749, 83747, 9039, 123253, 9174, 58426, 15120, 24273, 16556, 5486, 30832, 105888, 16144, 20, 87217, 118322, 13177, 109531, 108506, 11972, 50211, 50667, 30512, 103350, 102321, 119607, 10646, 15682, 5486, 111482, 16144, 107734, 102351, 57106, 96455, 16144, 103167, 30813, 30512, 116491, 16556, 30832, 117657, 101513, 38093, 29295, 127181, 102433, 77181, 5486, 96356, 60358, 26854, 109606, 19732, 112391, 30369, 114754, 43240, 117714, 111769, 123253, 32149, 9174, 567, 127365, 55999, 33035, 26854, 110115, 30832, 105888, 29295, 66953, 32131, 66953, 32131, 198, 51330, 104466, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 1114, 16144, 30832, 105888, 15682, 123085, 20230, 107991, 17792, 102052, 120328, 48915, 125525, 110596, 16995, 102616, 16144, 106084, 30926, 19732, 67016, 91763, 119841, 30832, 105888, 29295, 66953, 32131, 66953, 32131, 20230, 107960, 19000, 127145, 9174, 85701, 15682, 127177, 29504, 125030, 114598, 42016, 103826, 36785, 106046, 61689, 9174, 80631, 100, 110482, 33208, 20230, 57903, 106116, 9080, 30512, 123726, 30369, 120266, 102097, 15120, 109247, 124911, 127282, 5486, 109531, 108506, 38248, 226, 117501, 33563, 37087, 16144, 30832, 105888, 15682, 100990, 118, 114758, 30926, 20230, 67016, 91763, 119841, 102944, 32977, 127181, 106046, 61689, 9174, 122582, 102616, 30512, 117633, 16995, 107542, 47884, 17663, 41758, 42634, 112164, 37823, 78525, 91062, 19732, 5486, 112418, 126027, 96356, 60358, 26854, 104654, 20230, 102831, 75694, 56051, 42634, 38248, 104, 37823, 78525, 91062, 122401, 108968, 17905, 29504, 19732, 61826, 103130, 29504, 30512, 112361, 103984, 28542, 55031, 113727, 101200, 114267, 110018, 20230, 102404, 21990, 54926, 100543, 249, 16555, 122, 16144, 21405, 33121, 72661, 101182, 106046, 61689, 9174, 85701, 55031, 43240, 103826, 26854, 122502, 50834, 24273, 71289, 48864, 102802, 24273, 30512, 109768, 47884, 16325, 16556, 5486, 102616, 102208, 29504, 124911, 19732, 55999, 33035, 78244, 102158, 114792, 76947, 5486, 53900, 112361, 112690, 16556, 87177, 122101, 57933, 108941, 114792, 76947, 105994, 29295, 95001, 112603, 107407, 19732, 78698, 105262, 102944, 20230, 119680, 102189, 31431, 5486, 78698, 107800, 31431, 109768, 47884, 109335, 115847, 117758, 113146, 30512, 123726, 100481, 47884, 37087, 38144, 124911, 125030, 76947, 19732, 111243, 27384, 102769, 26854, 100909, 36785, 106046, 61689, 9174, 77693, 30512, 119870, 17129, 107290, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 109853, 78698, 105262, 109215, 115991, 102131, 125651, 1811, 128001, 128000, 34827, 11, 220, 1114, 11, 220, 2366, 15, 11, 45039, 313, 42634, 103672, 67075, 49792, 48864, 19732, 17792, 49792, 53283, 27327, 4444, 40, 8, 102473, 30046, 15682, 5486, 112599, 16144, 123141, 29295, 102616, 30512, 99750, 53283, 15024, 5486, 117120, 22649, 54926, 41007, 20230, 109606, 107407, 106592, 53283, 103836, 1811, 112599, 5486, 123141, 15682, 5486, 112185, 115240, 30512, 61304, 108565, 54926, 68408, 76428, 122258, 71493, 127194, 120950, 113714, 60868, 19732, 5486, 91482, 68408, 90962, 114567, 11883, 16144, 111134, 106384, 107840, 30512, 21601, 95399, 54926, 113009, 113404, 103646, 25434, 3642, 120950, 109713, 70563, 72369, 117675, 94550, 68408, 66953, 112900, 30512, 105156, 40862, 103792, 9174, 59739, 109709, 15836, 123141, 15682, 5486, 113714, 60868, 19732, 107420, 64810, 26269, 60868, 56965, 16556, 103984, 112854, 108134, 30512, 61304, 108565, 5486, 108436, 37705, 56051, 123090, 116771, 102616, 30512, 99750, 53283, 54926, 119520, 91774, 105262, 43240, 119064, 102944, 15682, 5486, 118322, 123628, 19967, 101275, 107118, 116690, 100604, 105908, 114652, 101182, 1811, 37026 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 37271, 18904, 15682, 102616, 16144, 117501, 109853, 112197, 87177, 38641, 9174, 567, 34676, 5608, 82252, 107118, 11199, 127960, 106045, 54872, 16144, 17039, 102800, 20119, 254, 103214, 64121, 76739, 22398, 103857, 78767, 106240, 765, 103774, 104983, 109904, 108167, 103214, 64121, 198, 14711, 8189, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 103621, 64178, 109853, 198, 12, 109517, 100, 110482, 30512, 103470, 102131, 198, 12, 107860, 95, 101960, 241, 30512, 108270, 42634, 20230, 198, 12, 105228, 38144, 124911, 20230, 113614, 19732, 103005, 55228, 231, 30512, 198, 12, 110124, 103, 16144, 126574, 104378, 30512, 198, 12, 108738, 78349, 108506, 11972, 50211, 50667, 30512, 103350, 102321, 119607, 198, 12, 106722, 37087, 26854, 53610, 19732, 20251, 25197, 44971, 30512, 102616, 126867, 198, 12, 107748, 124643, 104603, 11972, 30512, 64121, 103171, 20230, 80539, 29220, 102540, 16073, 20230, 198, 12, 126176, 235, 50834, 125001, 32977, 106613, 111587, 13153, 101544, 32977, 198, 12, 220, 106518, 101275, 19732, 112113, 107804, 17039, 16144, 75146, 114457, 116825, 47884, 103950, 198, 12, 102362, 71289, 125525, 16937, 50211, 50667, 30512, 103470, 102131, 198, 12, 118942, 64121, 106307, 76622, 110071, 17129, 43514, 109669, 47884, 31431, 30512, 198, 12, 220, 59739, 109749, 113160, 49988, 59739, 32149, 30297, 113160, 49988, 198, 12, 103241, 245, 103550, 104721, 91875, 20230, 118789, 109904, 103359, 105226, 30512, 198, 12, 109283, 16144, 119515, 32149, 30813, 30512, 106154, 103950, 198, 12, 103230, 116, 16144, 119515, 32149, 30813, 32977, 106154, 103950, 198, 12, 105355, 34208, 19732, 35417, 37656, 30512, 122617, 124911, 20230, 198, 12, 110138, 84477, 96452, 38248, 115, 103830, 16556, 30832, 105888, 30512, 104067, 13153, 119607, 198, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 121782, 59739, 109709, 69978, 106307, 88367, 26854, 122401, 30832, 105888, 15682, 69978, 106307, 88367, 26854, 102616, 16144, 103350, 102321, 16144, 113009, 23187, 62004, 109115, 102616, 55999, 33035, 16144, 30832, 105888, 16144, 100909, 38641, 9174, 69978, 106307, 88367, 26854, 102616, 107118, 115515, 112599, 104654, 103792, 86127, 126027, 105318, 30512, 112624, 110467, 5486, 32149, 59739, 45163, 37507, 16144, 101083, 31640, 29295, 109215, 117408, 103087, 106518, 30512, 125173, 26854, 30297, 100909, 16144, 100604, 106222, 16144, 100909, 38641, 9174, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 103760, 33014, 119012, 104468, 5486, 1049, 15, 8107, 55031, 679, 20, 8107, 112649, 107441, 103130, 62004, 109115, 5486, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 114654, 25, 72037, 11050, 55293, 9174, 122401, 108968, 17905, 29504, 30512, 103359, 47523, 120650, 100472, 30832, 105888, 19732, 5486, 1691, 16144, 47307, 38248, 110, 67075, 29295, 116700, 84389, 29504, 89046, 71289, 6269, 46, 123160, 35417, 9554, 101513, 97518, 30512, 104356, 20230, 84851, 103130, 84389, 79721, 29295, 5486, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 29295, 19012, 110, 102639, 28713, 30832, 105888, 16144, 102717, 19732, 124592, 15682, 104067, 13153, 84389, 100604, 110674, 105721, 116547, 79721, 9174, 567, 14306, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 16144, 103350, 116486, 19732, 30832, 105888, 198, 30832, 105888, 5232, 679, 20, 8107, 103296, 20230, 122617, 117255, 67645, 32977, 29295, 71208, 58850, 16144, 24775, 103283, 103470, 85707, 50667, 104378, 16144, 37087, 111681, 39607, 30512, 23951, 35287, 108608, 104466, 54926, 9174, 103350, 116486, 5232, 806, 4, 120938, 123716, 5486, 115442, 100472, 102944, 32977, 104067, 13153, 102052, 105110, 101860, 9174, 30832, 105888, 5232, 679, 20, 8107, 103296, 20230, 20, 97049, 39442, 112624, 116581, 16144, 121993, 96455, 30512, 17, 14, 18, 20230, 114485, 83747, 124545, 9174, 103350, 116486, 5232, 4331, 4, 16144, 114485, 83747, 17, 14, 18, 20230, 109948, 32149, 101860, 9174, 30832, 105888, 5232, 679, 20, 8107, 103296, 20230, 100525, 232, 122924, 121993, 96455, 30512, 18, 14, 19, 20230, 114485, 83747, 124545, 9174, 103350, 116486, 5232, 1774, 4, 16144, 114485, 83747, 18, 14, 19, 20230, 109948, 32149, 101860, 9174, 108895, 56051, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 16144, 95543, 66870, 30512, 21990, 32149, 21105, 97, 59739, 106116, 22649, 104611, 19732, 41007, 105242, 30512, 111800, 110322, 54926, 20119, 254, 103214, 64121, 103306, 105226, 23187, 103646, 112973, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 38641, 9174, 567, 8189, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 18, 118821, 66378, 17599, 112, 198, 14711, 220, 16, 13, 47307, 115592, 25287, 30832, 105888, 116700, 198, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 77181, 5486, 1114, 16144, 30832, 105888, 16144, 17297, 20230, 11739, 16144, 47307, 38248, 110, 67075, 29295, 125702, 61304, 116216, 61689, 9174, 47307, 38248, 110, 67075, 15682, 5486, 30832, 105888, 30512, 122270, 104398, 32149, 47884, 17620, 107674, 31809, 30832, 105888, 120264, 20230, 78698, 107290, 33334, 47884, 102083, 117201, 109954, 9174, 58426, 16325, 102052, 118789, 109904, 9039, 112603, 30832, 105888, 29295, 109466, 31431, 104526, 17129, 115032, 102944, 32977, 57903, 33541, 9174, 27452, 116285, 5486, 30832, 105888, 16, 87217, 16144, 13177, 80631, 100, 110482, 30512, 103470, 102131, 117503, 16, 87217, 118322, 47307, 38248, 110, 67075, 15682, 5486, 9639, 15, 8107, 103296, 20230, 112599, 16, 9080, 16, 13, 914, 120389, 88852, 16556, 104654, 123410, 17792, 104680, 19732, 23187, 104577, 110731, 5486, 110993, 27479, 16144, 80631, 100, 110482, 30512, 30591, 33503, 106644, 30369, 116245, 16556, 105721, 78183, 117063, 104533, 57903, 106116, 9039, 112603, 15682, 110993, 107436, 118789, 9554, 38641, 9174, 108895, 56051, 111681, 104482, 116700, 15682, 5486, 30832, 105888, 30512, 22649, 101067, 105242, 16556, 105721, 78183, 117063, 100604, 124122, 103350, 124299, 109904, 30832, 105888, 30512, 30832, 64467, 127145, 9174, 14711, 220, 17, 13, 103359, 47523, 15682, 61826, 103130, 29504, 19732, 122401, 108968, 17905, 125525, 110176, 24273, 198, 122401, 108968, 17905, 29504, 116771, 30512, 103359, 47523, 103306, 102334, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 107118, 108901, 26854, 31431, 5486, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 15682, 61826, 103130, 29504, 19732, 122401, 108968, 17905, 125525, 110176, 24273, 29295, 103359, 47523, 104856, 76947, 61689, 9174, 41758, 42634, 112164, 33710, 33208, 29295, 116748, 56051, 110589, 77181, 5486, 106444, 56965, 16144, 103087, 39084, 9458, 17792, 103234, 9458, 108134, 16144, 89753, 33035, 15682, 104735, 101, 27384, 26854, 33857, 104856, 76947, 61689, 9174, 58426, 103846, 108968, 17905, 125525, 117409, 16556, 109606, 29295, 102404, 21990, 103792, 104466, 91774, 107290, 32977, 5486, 103350, 104983, 102052, 125525, 20119, 254, 103214, 64121, 30512, 72404, 107290, 109242, 40862, 109904, 113385, 29295, 103214, 64121, 40862, 78183, 30813, 103836, 113009, 112160, 29504, 77181, 50338, 104662, 29295, 111108, 106624, 38144, 112909, 126268, 102204, 126386, 127749, 20230, 57903, 79721, 9174, 14711, 220, 18, 13, 41758, 42634, 112164, 33710, 114435, 29295, 105226, 23187, 20230, 110284, 198, 108031, 15120, 59739, 6204, 82252, 7, 76739, 91062, 103857, 78767, 106240, 8, 110792, 122074, 109904, 121953, 15682, 5486, 29504, 89046, 71289, 6269, 46, 123160, 35417, 9554, 101513, 97518, 121142, 103470, 114435, 29295, 105226, 23187, 103768, 11883, 20230, 119448, 47884, 97518, 78183, 103836, 100909, 38641, 9174, 112167, 60632, 121606, 103195, 114435, 15682, 60632, 103558, 97, 30512, 104862, 32018, 21105, 103, 118145, 26854, 31431, 107515, 29295, 108048, 19732, 115963, 20230, 69978, 106307, 125396, 30512, 104862, 32018, 54926, 105908, 114435, 125030, 114598, 101544, 23538, 109904, 60632, 105576, 16144, 105184, 33563, 107294, 105722, 30369, 102677, 114181, 28542, 123017, 19732, 5486, 106518, 101275, 38093, 111363, 108975, 123457, 32018, 109315, 44915, 117084, 61689, 9174, 110577, 20230, 127123, 106222, 15682, 51330, 1114, 16144, 30832, 105888, 19732, 11739, 16144, 47307, 38248, 110, 67075, 121254, 107441, 91875, 50834, 20834, 127145, 9174, 104067, 13153, 30832, 105888, 15682, 9639, 15, 8107, 9174, 102208, 30832, 105888, 30512, 98499, 64121, 50338, 47884, 100909, 113468, 5486, 9639, 15, 116358, 102616, 29295, 67645, 16144, 101200, 108176, 104865, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 30512, 46034, 29295, 107277, 20230, 5486, 9639, 15, 116358, 102616, 104088, 33035, 39926, 64121, 30369, 102677, 112973, 109215, 117084, 50834, 33541, 9174, 77693, 20230, 21601, 107290, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 19732, 112361, 679, 20, 116033, 40862, 37689, 29295, 102971, 81219, 103468, 5486, 80805, 37823, 108975, 23187, 71289, 60358, 116358, 114734, 101275, 98220, 30512, 105350, 112959, 103792, 1600, 38, 126330, 102083, 100472, 5486, 69978, 106307, 88367, 26854, 102616, 16144, 103350, 102321, 30512, 30832, 64467, 17663, 17039, 102800, 91875, 50834, 109853, 32977, 113727, 100481, 47884, 109215, 115991, 33541, 9174, 567, 8189, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 30512, 104405, 113727, 104984, 104712, 32149, 198, 102616, 112535, 26130, 118146, 118959, 102802, 100934, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 119627, 108948, 27929, 124749, 102433, 17792, 103195, 71689, 30591, 109709, 101921, 239, 20230, 120175, 100604, 102944, 32977, 101182, 106046, 61689, 9174, 27452, 116285, 72406, 95, 101960, 241, 104309, 123085, 55031, 91774, 127567, 110596, 47884, 112391, 30369, 87177, 32977, 57903, 33541, 15024, 123213, 105284, 109904, 105494, 16556, 17620, 107277, 109669, 110706, 32938, 115991, 33541, 9174, 9080, 40053, 16144, 104654, 30512, 37705, 30369, 16325, 16556, 5486, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 30926, 29295, 103892, 16144, 35818, 37795, 227, 117083, 116537, 83747, 100604, 105933, 116499, 78434, 9174, 33334, 27929, 124749, 9080, 104680, 16144, 123120, 30512, 125119, 17663, 108680, 109834, 103868, 71289, 113954, 29295, 102780, 31431, 126386, 105933, 116499, 78434, 9174, 103350, 104983, 20230, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 30832, 105888, 20230, 118146, 33035, 17663, 19732, 106116, 123011, 109709, 16144, 26854, 30813, 20230, 109076, 115461, 30297, 105933, 116499, 78434, 9174, 27452, 116285, 30832, 105888, 16144, 17, 87217, 30832, 102052, 13177, 72406, 95, 101960, 241, 30512, 108270, 42634, 20230, 66383, 57903, 33541, 29295, 5486, 102321, 103397, 102433, 77181, 112185, 125764, 110071, 102456, 103234, 30512, 25766, 225, 77062, 226, 54926, 52591, 65575, 42634, 22398, 102677, 109606, 29295, 87177, 104482, 117084, 61689, 9174, 51330, 30832, 105888, 30512, 105994, 48154, 19732, 103306, 15017, 231, 58942, 110071, 114754, 33334, 27929, 124749, 83747, 9039, 123253, 9174, 58426, 15120, 24273, 16556, 5486, 30832, 105888, 16144, 20, 87217, 118322, 13177, 109531, 108506, 11972, 50211, 50667, 30512, 103350, 102321, 119607, 10646, 15682, 5486, 111482, 16144, 107734, 102351, 57106, 96455, 16144, 103167, 30813, 30512, 116491, 16556, 30832, 117657, 101513, 38093, 29295, 127181, 102433, 77181, 5486, 96356, 60358, 26854, 109606, 19732, 112391, 30369, 114754, 43240, 117714, 111769, 123253, 32149, 9174, 567, 127365, 55999, 33035, 26854, 110115, 30832, 105888, 29295, 66953, 32131, 66953, 32131, 198, 51330, 104466, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 16144, 1114, 16144, 30832, 105888, 15682, 123085, 20230, 107991, 17792, 102052, 120328, 48915, 125525, 110596, 16995, 102616, 16144, 106084, 30926, 19732, 67016, 91763, 119841, 30832, 105888, 29295, 66953, 32131, 66953, 32131, 20230, 107960, 19000, 127145, 9174, 85701, 15682, 127177, 29504, 125030, 114598, 42016, 103826, 36785, 106046, 61689, 9174, 80631, 100, 110482, 33208, 20230, 57903, 106116, 9080, 30512, 123726, 30369, 120266, 102097, 15120, 109247, 124911, 127282, 5486, 109531, 108506, 38248, 226, 117501, 33563, 37087, 16144, 30832, 105888, 15682, 100990, 118, 114758, 30926, 20230, 67016, 91763, 119841, 102944, 32977, 127181, 106046, 61689, 9174, 122582, 102616, 30512, 117633, 16995, 107542, 47884, 17663, 41758, 42634, 112164, 37823, 78525, 91062, 19732, 5486, 112418, 126027, 96356, 60358, 26854, 104654, 20230, 102831, 75694, 56051, 42634, 38248, 104, 37823, 78525, 91062, 122401, 108968, 17905, 29504, 19732, 61826, 103130, 29504, 30512, 112361, 103984, 28542, 55031, 113727, 101200, 114267, 110018, 20230, 102404, 21990, 54926, 100543, 249, 16555, 122, 16144, 21405, 33121, 72661, 101182, 106046, 61689, 9174, 85701, 55031, 43240, 103826, 26854, 122502, 50834, 24273, 71289, 48864, 102802, 24273, 30512, 109768, 47884, 16325, 16556, 5486, 102616, 102208, 29504, 124911, 19732, 55999, 33035, 78244, 102158, 114792, 76947, 5486, 53900, 112361, 112690, 16556, 87177, 122101, 57933, 108941, 114792, 76947, 105994, 29295, 95001, 112603, 107407, 19732, 78698, 105262, 102944, 20230, 119680, 102189, 31431, 5486, 78698, 107800, 31431, 109768, 47884, 109335, 115847, 117758, 113146, 30512, 123726, 100481, 47884, 37087, 38144, 124911, 125030, 76947, 19732, 111243, 27384, 102769, 26854, 100909, 36785, 106046, 61689, 9174, 77693, 30512, 119870, 17129, 107290, 5608, 82252, 7, 76739, 22398, 103857, 78767, 106240, 8, 109853, 78698, 105262, 109215, 115991, 102131, 125651, 1811, 128001, 128000, 34827, 11, 220, 1114, 11, 220, 2366, 15, 11, 45039, 313, 42634, 103672, 67075, 49792, 48864, 19732, 17792, 49792, 53283, 27327, 4444, 40, 8, 102473, 30046, 15682, 5486, 112599, 16144, 123141, 29295, 102616, 30512, 99750, 53283, 15024, 5486, 117120, 22649, 54926, 41007, 20230, 109606, 107407, 106592, 53283, 103836, 1811, 112599, 5486, 123141, 15682, 5486, 112185, 115240, 30512, 61304, 108565, 54926, 68408, 76428, 122258, 71493, 127194, 120950, 113714, 60868, 19732, 5486, 91482, 68408, 90962, 114567, 11883, 16144, 111134, 106384, 107840, 30512, 21601, 95399, 54926, 113009, 113404, 103646, 25434, 3642, 120950, 109713, 70563, 72369, 117675, 94550, 68408, 66953, 112900, 30512, 105156, 40862, 103792, 9174, 59739, 109709, 15836, 123141, 15682, 5486, 113714, 60868, 19732, 107420, 64810, 26269, 60868, 56965, 16556, 103984, 112854, 108134, 30512, 61304, 108565, 5486, 108436, 37705, 56051, 123090, 116771, 102616, 30512, 99750, 53283, 54926, 119520, 91774, 105262, 43240, 119064, 102944, 15682, 5486, 118322, 123628, 19967, 101275, 107118, 116690, 100604, 105908, 114652, 101182, 1811, 37026 ]
[ 104063, 102149, 23039, 101918, 29295, 121640, 103188, 105557, 30369, 104983, 16144, 45893, 101171, 229, 16144, 76505, 104680, 16144, 105065, 16144, 104398, 34048, 104309, 103195, 119520, 110371, 108134, 16144, 122617, 29295, 113714, 60868, 16556, 116718, 20230, 115181, 84389, 5486, 37705, 102204, 104533, 50834, 20230, 5486, 43568, 116690, 26854, 119526, 16556, 123141, 30512, 35086, 233, 73597, 252, 107726, 5486, 101721, 123457, 33420, 106382, 15024, 5486, 117120, 22649, 82973, 30512, 114115, 106382, 54926, 1811, 76171, 57933, 37823, 109531, 52414, 68759, 57207, 107060, 16556, 126120, 96455, 109904, 103984, 112854, 30512, 88367, 117657, 113009, 103283, 16144, 39880, 107420, 113335, 29295, 109215, 103195, 9174, 124366, 71634, 33710, 27384, 19732, 68759, 109482, 78349, 115332, 27384, 29295, 108975, 48634, 56051, 17, 118821, 105242, 17161, 15682, 5486, 113714, 57207, 94550, 19732, 48864, 108710, 29295, 105156, 40862, 116216, 15836, 123141, 70141, 76622, 16144, 17039, 102800, 71493, 127194, 30512, 103350, 102321, 54926, 41007, 30512, 20379, 103792, 9174, 124366, 71634, 33710, 102667, 5486, 42634, 103672, 67075, 49792, 48864, 5486, 109713, 70563, 72369, 108337, 91482, 113909, 16073, 5486, 102494, 66953, 106696, 123141, 116891, 5486, 36668, 105350, 102473, 30046, 5486, 54, 38377, 822, 3297, 337, 7813, 361, 4378, 15682, 36896, 126120, 96455, 109904, 53283, 112854, 123141, 30512, 103350, 102321, 54926, 113009, 5486, 123671, 123671, 15682, 85701, 103296, 20230, 123532, 121118, 41007, 16144, 48249, 98220, 30512, 72404, 105262, 109215, 107407, 66383, 90178, 103792, 9174, 13177, 123671, 123671, 15682, 5486, 109683, 16144, 123141, 29295, 103984, 112854, 102616, 30512, 117120, 22649, 54926, 41007, 55031, 109832, 67178, 34171, 30512, 108703, 31431, 30369, 105908, 108608, 5486, 123671, 123671, 16144, 30832, 71289, 101171, 111, 15682, 5486, 108975, 122502, 39926, 102616, 16144, 115552, 30512, 113954, 54926, 5486, 107803, 113468, 15682, 5486, 102701, 37026, 33014, 29295, 117120, 22649, 39926, 5486, 116690, 100604, 102944, 30512, 101171, 111, 29295, 21403, 232, 114485, 54926, 16144, 30512, 103129, 105784, 10646, 9174, 85701, 15682, 5486, 71493, 76739, 114615, 102701, 29295, 102040, 76739, 120950, 53953, 33014, 30512, 5486, 115240, 29295, 99750, 112854, 103646, 28542, 38641, 104699, 118969, 91774, 112179, 113487, 47884, 103857, 57933, 29220, 47307, 30512, 32977, 103836, 118733, 110322, 31958, 110731, 9174, 124366, 71634, 33710, 102667, 16144, 9023, 80623, 94558, 19732, 56, 29718, 38805, 111848, 105242, 17161, 15682, 110371, 30832, 105888, 102416, 70141, 107674, 17, 118821, 23226, 106594, 30512, 31958, 33503, 111201, 103792, 1811, 40198, 111, 64121, 121423, 118331, 108994, 33710, 118823, 102756, 105048, 3100, 9944, 82, 8, 30512, 109467, 115240, 118192, 107060, 103350, 99741, 54926, 112004, 124180, 29295, 122401, 56051, 56555, 82, 15682, 100516, 16, 47018, 20230, 9039, 103633, 18904, 100516, 123646, 103202, 30512, 17620, 104770, 108608, 112004, 85701, 120577, 115240, 30512, 61304, 108565, 56051, 31431, 100516, 117120, 22649, 80805, 25197, 57326, 118372, 20230, 37705, 30369, 109215, 120937, 112004, 102473, 124180, 15682, 5486, 46034, 102181, 50834, 16144, 83687, 5486, 46034, 104369, 33121, 30512, 17620, 104770, 5486, 57326, 93488, 110548, 16073, 30813, 58942, 17620, 104770, 54926, 68408, 124373, 71634, 44971, 38248, 115, 78205, 16073, 30512, 78698, 107800, 9174, 102473, 124180, 15682, 5486, 76171, 57933, 37823, 109531, 52414, 114363, 11883, 15836, 71493, 127194, 16144, 45163, 37507, 30512, 20379, 84150, 228, 103792, 1811, 53953, 33014, 5486, 101182, 16995, 15682, 71493, 127194, 16144, 25580, 16556, 125119, 103836, 25197, 102832, 52414, 104309, 5486, 126507, 44971, 102832, 114615, 108134, 103378, 30512, 123141, 16144, 108618, 112586, 37705, 30369, 105908, 108608, 103984, 112854, 123141, 113637, 39880, 107420, 113335, 15682, 5486, 123141, 30512, 15682, 30369, 111201, 126120, 96455, 112535, 15024, 5486, 64810, 123283, 39880, 117657, 1811, 115240, 29295, 61304, 108565, 107001, 109215, 119703, 55031, 103195, 9174, 102473, 13153, 28873, 15682, 127359, 109482, 78349, 115332, 102667, 47, 11345, 81, 86309, 74, 116891, 29295, 122401, 56051, 3624, 16407, 39880, 38248, 255, 57933, 29220, 109933, 112212, 88367, 110276, 1811, 3624, 16407, 15682, 5486, 102473, 124180, 29295, 18513, 44477, 2982, 320, 4505, 32, 8, 103306, 61304, 43032, 103792, 71493, 127194, 107420, 64810, 26269, 60868, 78459, 103830, 103195, 1811, 4505, 32, 15682, 5486, 102159, 104680, 16144, 5486, 53900, 122617, 16144, 70563, 122086, 33710, 32943, 119154, 16144, 107420, 64810, 26269, 60868, 116787, 5486, 50021, 106483, 118597, 39926, 89151, 20230, 105360, 32218, 115707, 16556, 117120, 22649, 54926, 105908, 108608, 118844, 15682, 5486, 56555, 82, 19732, 91482, 113909, 16073, 107908, 115054, 78525, 91062, 125030, 76947, 22649, 101067, 9554, 103195, 9174, 35, 799, 74, 116891, 15682, 36896, 70563, 122086, 33710, 44971, 115882, 16556, 113714, 57207, 94550, 5486, 117120, 22649, 5486, 39850, 102494, 37823, 30512, 105156, 40862, 54926, 109335, 122603, 118463, 5486, 103167, 30250, 227, 109337, 123141, 30512, 88367, 117657, 121142, 103470, 5486, 103167, 33420, 106382, 101721, 48634, 122603, 126120, 96455, 102040, 65575, 65299, 76739, 39880, 30512, 103664, 64063, 54926, 102944, 103195, 66383, 87177, 103792, 9174, 13177, 3624, 16407, 68408, 66953, 112900, 15682, 5486, 112599, 16144, 71493, 127194, 113714, 60868, 19732, 104770, 104409, 16144, 52591, 67075, 115507, 52414, 16556, 103350, 99741, 88367, 103195, 29295, 5486, 115240, 107391, 57326, 109933, 28542, 16556, 21980, 236, 11883, 27384, 106045, 54872, 80805, 32131, 44971, 33710, 107420, 64810, 26269, 60868, 30512, 103350, 23039, 108608, 10646, 9174, 124366, 71634, 33710, 102667, 5486, 107850, 23039, 48634, 48864, 57207, 114676, 114341, 104599, 5486, 107420, 109531, 110548, 39850, 127058, 5486, 9023, 8529, 8269, 329, 942, 15682, 5486, 3624, 16407, 39880, 38248, 255, 57933, 29220, 109933, 30512, 117355, 33857, 45923, 42634, 107060, 20230, 103214, 64121, 104526, 102189, 9174, 13177, 85701, 120577, 71493, 127194, 16556, 108008, 20230, 72238, 116366, 114420, 109335, 121453, 102800, 68759, 57207, 16073, 32131, 118928, 94550, 121432, 121142, 103470, 106116, 91875, 19967, 22398, 70563, 65575, 19732, 117355, 33857, 106391, 13153, 103195, 66383, 42016, 105514, 15682, 122984, 103792, 1811, 128001, 128000, 567, 102362, 56965, 16144, 101171, 111, 198, 101171, 111, 16144, 76739, 29220, 60868, 115844, 16144, 122678, 107918, 107624, 95001, 111363, 39880, 122086, 22398, 113170, 112568, 16144, 101171, 111, 30512, 110456, 106266, 15024, 5486, 104195, 48634, 26854, 101171, 111, 121432, 30512, 112258, 249, 58942, 33541, 115228, 109095, 48634, 19732, 101171, 111, 16144, 66378, 34171, 16144, 18904, 109095, 30512, 104195, 33208, 103801, 109954, 122262, 106081, 106624, 70897, 106609, 101171, 111, 15682, 99849, 112130, 95532, 101171, 111, 15682, 109242, 122202, 26854, 32648, 102078, 116787, 33541, 16325, 20119, 95, 101365, 106613, 39276, 112028, 34048, 116787, 5486, 32335, 32977, 104735, 101, 27384, 19732, 53283, 125398, 101171, 111, 112028, 34048, 116787, 33541, 118844, 15682, 5486, 103892, 105623, 233, 101921, 242, 16144, 25580, 28190, 19732, 17905, 34048, 20230, 82912, 126020, 5486, 37087, 38144, 16144, 20648, 118, 111528, 104770, 20230, 48706, 126020, 33541, 1811, 101171, 111, 16144, 123274, 77181, 101171, 111, 101171, 232, 100499, 226, 107654, 19732, 127173, 104028, 108950, 31958, 26854, 107654, 33014, 107809, 16556, 101171, 111, 15682, 111179, 102532, 108086, 5486, 123050, 121432, 5486, 118656, 9554, 124001, 103048, 115075, 48864, 16144, 110176, 24273, 30512, 112624, 28713, 127145, 1811, 116196, 111, 15682, 119049, 107079, 112130, 11571, 76771, 223, 104067, 15682, 118430, 118095, 20230, 101171, 111, 15682, 119049, 107079, 19732, 112361, 47884, 33655, 78183, 123207, 13079, 108, 58942, 100481, 126145, 78244, 61689, 29295, 112160, 59739, 31958, 105184, 26854, 104468, 116196, 111, 15682, 119049, 107079, 77181, 124897, 119049, 104398, 112506, 16556, 106391, 13153, 110731, 16144, 77181, 43568, 47884, 5486, 9039, 102718, 32307, 107707, 100818, 116, 52084, 19732, 111398, 103397, 104584, 72718, 113468, 50021, 106483, 30177, 106307, 103646, 118331, 118517, 16073, 104067, 113468, 115376, 84389, 33541, 9174, 567, 116196, 111, 16144, 107734, 30832, 107118, 11571, 101171, 111, 16144, 121432, 198, 101171, 111, 16144, 108729, 109904, 105494, 103306, 121270, 20119, 95, 101365, 106613, 39276, 32977, 198, 101171, 111, 15682, 5486, 33014, 19732, 64209, 16144, 102717, 19732, 124592, 16144, 121432, 30512, 44416, 109088, 15024, 5486, 104873, 107792, 54926, 124122, 40452, 30046, 103306, 23187, 104577, 54926, 105908, 103082, 79721, 51330, 105933, 105324, 107246, 71289, 64209, 105567, 123160, 107693, 26854, 121432, 55031, 5486, 113871, 71289, 72406, 95, 58942, 5486, 119455, 50834, 104309, 71289, 22649, 34171, 5486, 61304, 125534, 48634, 5486, 61633, 5486, 125641, 16144, 40452, 71289, 123120, 104309, 1811, 9174, 86127, 126027, 104654, 107809, 16556, 125119, 30369, 122617, 5486, 113136, 120379, 16325, 71289, 72718, 50834, 100934, 122756, 125119, 30369, 103826, 104680, 26854, 30926, 5486, 105324, 107246, 5486, 36735, 112, 112854, 111476, 9, 2118, 114516, 15682, 5486, 104940, 102802, 5486, 105465, 21105, 243, 5486, 116292, 21105, 243, 5486, 115924, 103192, 71289, 103001, 228, 50834, 104309, 15682, 37087, 38144, 15682, 101171, 111, 16144, 101399, 103195, 30926, 30512, 53283, 30369, 125231, 103195, 124845, 53283, 109375, 30512, 108710, 50928, 56051, 31431, 5486, 91774, 115926, 5486, 104655, 102334, 31431, 39926, 5486, 58666, 102800, 102944, 71289, 5486, 106594, 109161, 5486, 58666, 103868, 21105, 243, 104309, 32977, 101171, 111, 112197, 32149, 102639, 38641, 124845, 58426, 101399, 20230, 114760, 95221, 110276, 31431, 5486, 111663, 112854, 30512, 125119, 56051, 31431, 5486, 109755, 119467, 20230, 124364, 123671, 33541, 30019, 58426, 110456, 106266, 30512, 101171, 111, 16144, 121894, 29295, 105298, 37087, 16556, 43568, 16995, 126101, 113420, 58942, 123207, 26854, 31431, 107515, 30019, 58426, 115552, 77181, 32943, 26274, 241, 15682, 114516, 16144, 112366, 16144, 48634, 103195, 19732, 112844, 30926, 38641, 34045, 9, 21370, 240, 89154, 107059, 57933, 22398, 1161, 2506, 53, 264, 34, 8, 105432, 244, 109020, 103429, 95221, 109853, 198, 107461, 89154, 107059, 57933, 22398, 29295, 109832, 67178, 15024, 102334, 121640, 111476, 114516, 16144, 101171, 111, 15682, 5486, 32335, 32977, 109242, 122202, 26854, 5486, 105037, 236, 62004, 102334, 109832, 19967, 112028, 59739, 116787, 5486, 115963, 20230, 47406, 104812, 100, 26854, 110164, 121040, 72661, 57903, 33541, 40265, 39177, 15682, 107461, 89154, 107059, 57933, 22398, 19732, 58426, 113146, 124911, 104680, 15682, 67645, 33121, 108680, 101171, 111, 109853, 53283, 109375, 30512, 102987, 109315, 30926, 29295, 106084, 30369, 32149, 30512, 101067, 66201, 106084, 105823, 104127, 56051, 1811, 101365, 106613, 115240, 71289, 126784, 5486, 112027, 48864, 5486, 127298, 48864, 5486, 101365, 106613, 108396, 123160, 60358, 31640, 112113, 112212, 106391, 67178, 71289, 121432, 104309, 114556, 39926, 16144, 16995, 47884, 59739, 116421, 109243, 28741, 30512, 50338, 31958, 105260, 121256, 119520, 5486, 39442, 36785, 50338, 31958, 17663, 125231, 107750, 99397, 71289, 39442, 53283, 26854, 105494, 29295, 48706, 105260, 78434, 9174, 567, 116196, 111, 16144, 105494, 198, 122617, 16144, 101171, 232, 103433, 236, 91875, 53953, 15682, 5486, 101171, 111, 114792, 76947, 108086, 5486, 17297, 61304, 16144, 105494, 16556, 106391, 13153, 116216, 108086, 33541, 9174, 101171, 111, 27384, 101171, 111, 105871, 105284, 113468, 115376, 116216, 108086, 5486, 101171, 111, 117392, 113468, 89046, 102971, 103646, 17, 118821, 103268, 79059, 7, 16, 8, 80539, 198, 567, 102362, 56965, 16144, 101171, 111, 16144, 66378, 17599, 112, 198, 114516, 16144, 101171, 111, 16144, 30358, 30813, 15682, 67645, 33121, 120264, 123253, 30, 67645, 16144, 120264, 16144, 119448, 30813, 123253, 32149, 11571, 67645, 16144, 120264, 16144, 118331, 118517, 113883, 101171, 111, 114792, 103836, 105879, 109954, 32149, 95532, 12, 102362, 56965, 16144, 101171, 111, 102052, 27384, 101171, 111, 105871, 105284, 15682, 5486, 32335, 32977, 103130, 33208, 15024, 5486, 109242, 122202, 26854, 105494, 112028, 59739, 116787, 33541, 107751, 16144, 104091, 126036, 115844, 29295, 119448, 16995, 103378, 126194, 5486, 53900, 112959, 50834, 114308, 5486, 108881, 31431, 40198, 111, 64121, 5486, 40198, 111, 64121, 104526, 102189, 31431, 5486, 36117, 251, 112212, 66378, 17599, 112, 109904, 15024, 78183, 16144, 48915, 114181, 30512, 58318, 58942, 33541, 9174, 12, 102362, 56965, 16144, 101171, 111, 15682, 5486, 103664, 16, 13, 19, 12, 16, 12, 20, 62903, 42634, 16144, 30358, 33857, 116787, 5486, 111482, 77181, 8190, 15, 12810, 30591, 28713, 111331, 119448, 30813, 16556, 5486, 123737, 77181, 9390, 15, 16144, 641, 30591, 28713, 111331, 119448, 30813, 38641, 9174, 12, 116196, 111, 10110, 80539, 101171, 232, 100499, 226, 119735, 100499, 226, 115716, 19732, 127173, 104028, 115716, 16556, 101307, 117633, 84389, 5486, 103892, 105623, 233, 110135, 113115, 54926, 76537, 107666, 55031, 106154, 31431, 33541, 9174, 12, 18049, 230, 31431, 106154, 31431, 30512, 104195, 107608, 117657, 101399, 5486, 101171, 111, 15682, 101171, 111, 101171, 232, 100499, 226, 107654, 20230, 111179, 102532, 108086, 33541, 9174, 12, 102362, 56965, 16144, 101171, 111, 15682, 5486, 16, 11, 931, 117913, 16144, 101365, 106613, 104398, 112506, 16556, 106391, 13153, 110731, 19732, 84851, 23187, 116216, 61689, 5486, 36668, 20230, 118331, 118517, 16073, 19732, 41758, 104612, 104398, 112506, 38641, 9174, 118331, 118517, 16073, 220, 85701, 33503, 15682, 5486, 101682, 22023, 107420, 64810, 22398, 108134, 30512, 37705, 22023, 54926, 124122, 119389, 33208, 56051, 104398, 112506, 116787, 5486, 104398, 112506, 44971, 115882, 32149, 104398, 112506, 32943, 16556, 23039, 123671, 33541, 1811, 101721, 95221, 116945, 109904, 22023, 18476, 113468, 85701, 117824, 61689, 10110, 101365, 106613, 76171, 80805, 33710, 22398, 7705, 89154, 57933, 16073, 123618, 112415, 19732, 127173, 33121, 33541, 1811, 106391, 67178, 112535, 118331, 118517, 16073, 15682, 112361, 105284, 16144, 31634, 72238, 114792, 76947, 108086, 127177, 104398, 112506, 19732, 112361, 115514, 108044, 108134, 30512, 96412, 104127, 108086, 33541, 1811, 118331, 118517, 16073, 15682, 5486, 18, 118821, 105494, 113468, 115376, 116216, 61689, 1811, 120738, 103857, 71289, 101365, 106613, 104398, 112506, 33014, 7, 21, 8, 47260, 39880, 30512, 96412, 104004, 5486, 104398, 112506, 16144, 105572, 34048 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 104063, 102149, 23039, 101918, 29295, 121640, 103188, 105557, 30369, 104983, 16144, 45893, 101171, 229, 16144, 76505, 104680, 16144, 105065, 16144, 104398, 34048, 104309, 103195, 119520, 110371, 108134, 16144, 122617, 29295, 113714, 60868, 16556, 116718, 20230, 115181, 84389, 5486, 37705, 102204, 104533, 50834, 20230, 5486, 43568, 116690, 26854, 119526, 16556, 123141, 30512, 35086, 233, 73597, 252, 107726, 5486, 101721, 123457, 33420, 106382, 15024, 5486, 117120, 22649, 82973, 30512, 114115, 106382, 54926, 1811, 76171, 57933, 37823, 109531, 52414, 68759, 57207, 107060, 16556, 126120, 96455, 109904, 103984, 112854, 30512, 88367, 117657, 113009, 103283, 16144, 39880, 107420, 113335, 29295, 109215, 103195, 9174, 124366, 71634, 33710, 27384, 19732, 68759, 109482, 78349, 115332, 27384, 29295, 108975, 48634, 56051, 17, 118821, 105242, 17161, 15682, 5486, 113714, 57207, 94550, 19732, 48864, 108710, 29295, 105156, 40862, 116216, 15836, 123141, 70141, 76622, 16144, 17039, 102800, 71493, 127194, 30512, 103350, 102321, 54926, 41007, 30512, 20379, 103792, 9174, 124366, 71634, 33710, 102667, 5486, 42634, 103672, 67075, 49792, 48864, 5486, 109713, 70563, 72369, 108337, 91482, 113909, 16073, 5486, 102494, 66953, 106696, 123141, 116891, 5486, 36668, 105350, 102473, 30046, 5486, 54, 38377, 822, 3297, 337, 7813, 361, 4378, 15682, 36896, 126120, 96455, 109904, 53283, 112854, 123141, 30512, 103350, 102321, 54926, 113009, 5486, 123671, 123671, 15682, 85701, 103296, 20230, 123532, 121118, 41007, 16144, 48249, 98220, 30512, 72404, 105262, 109215, 107407, 66383, 90178, 103792, 9174, 13177, 123671, 123671, 15682, 5486, 109683, 16144, 123141, 29295, 103984, 112854, 102616, 30512, 117120, 22649, 54926, 41007, 55031, 109832, 67178, 34171, 30512, 108703, 31431, 30369, 105908, 108608, 5486, 123671, 123671, 16144, 30832, 71289, 101171, 111, 15682, 5486, 108975, 122502, 39926, 102616, 16144, 115552, 30512, 113954, 54926, 5486, 107803, 113468, 15682, 5486, 102701, 37026, 33014, 29295, 117120, 22649, 39926, 5486, 116690, 100604, 102944, 30512, 101171, 111, 29295, 21403, 232, 114485, 54926, 16144, 30512, 103129, 105784, 10646, 9174, 85701, 15682, 5486, 71493, 76739, 114615, 102701, 29295, 102040, 76739, 120950, 53953, 33014, 30512, 5486, 115240, 29295, 99750, 112854, 103646, 28542, 38641, 104699, 118969, 91774, 112179, 113487, 47884, 103857, 57933, 29220, 47307, 30512, 32977, 103836, 118733, 110322, 31958, 110731, 9174, 124366, 71634, 33710, 102667, 16144, 9023, 80623, 94558, 19732, 56, 29718, 38805, 111848, 105242, 17161, 15682, 110371, 30832, 105888, 102416, 70141, 107674, 17, 118821, 23226, 106594, 30512, 31958, 33503, 111201, 103792, 1811, 40198, 111, 64121, 121423, 118331, 108994, 33710, 118823, 102756, 105048, 3100, 9944, 82, 8, 30512, 109467, 115240, 118192, 107060, 103350, 99741, 54926, 112004, 124180, 29295, 122401, 56051, 56555, 82, 15682, 100516, 16, 47018, 20230, 9039, 103633, 18904, 100516, 123646, 103202, 30512, 17620, 104770, 108608, 112004, 85701, 120577, 115240, 30512, 61304, 108565, 56051, 31431, 100516, 117120, 22649, 80805, 25197, 57326, 118372, 20230, 37705, 30369, 109215, 120937, 112004, 102473, 124180, 15682, 5486, 46034, 102181, 50834, 16144, 83687, 5486, 46034, 104369, 33121, 30512, 17620, 104770, 5486, 57326, 93488, 110548, 16073, 30813, 58942, 17620, 104770, 54926, 68408, 124373, 71634, 44971, 38248, 115, 78205, 16073, 30512, 78698, 107800, 9174, 102473, 124180, 15682, 5486, 76171, 57933, 37823, 109531, 52414, 114363, 11883, 15836, 71493, 127194, 16144, 45163, 37507, 30512, 20379, 84150, 228, 103792, 1811, 53953, 33014, 5486, 101182, 16995, 15682, 71493, 127194, 16144, 25580, 16556, 125119, 103836, 25197, 102832, 52414, 104309, 5486, 126507, 44971, 102832, 114615, 108134, 103378, 30512, 123141, 16144, 108618, 112586, 37705, 30369, 105908, 108608, 103984, 112854, 123141, 113637, 39880, 107420, 113335, 15682, 5486, 123141, 30512, 15682, 30369, 111201, 126120, 96455, 112535, 15024, 5486, 64810, 123283, 39880, 117657, 1811, 115240, 29295, 61304, 108565, 107001, 109215, 119703, 55031, 103195, 9174, 102473, 13153, 28873, 15682, 127359, 109482, 78349, 115332, 102667, 47, 11345, 81, 86309, 74, 116891, 29295, 122401, 56051, 3624, 16407, 39880, 38248, 255, 57933, 29220, 109933, 112212, 88367, 110276, 1811, 3624, 16407, 15682, 5486, 102473, 124180, 29295, 18513, 44477, 2982, 320, 4505, 32, 8, 103306, 61304, 43032, 103792, 71493, 127194, 107420, 64810, 26269, 60868, 78459, 103830, 103195, 1811, 4505, 32, 15682, 5486, 102159, 104680, 16144, 5486, 53900, 122617, 16144, 70563, 122086, 33710, 32943, 119154, 16144, 107420, 64810, 26269, 60868, 116787, 5486, 50021, 106483, 118597, 39926, 89151, 20230, 105360, 32218, 115707, 16556, 117120, 22649, 54926, 105908, 108608, 118844, 15682, 5486, 56555, 82, 19732, 91482, 113909, 16073, 107908, 115054, 78525, 91062, 125030, 76947, 22649, 101067, 9554, 103195, 9174, 35, 799, 74, 116891, 15682, 36896, 70563, 122086, 33710, 44971, 115882, 16556, 113714, 57207, 94550, 5486, 117120, 22649, 5486, 39850, 102494, 37823, 30512, 105156, 40862, 54926, 109335, 122603, 118463, 5486, 103167, 30250, 227, 109337, 123141, 30512, 88367, 117657, 121142, 103470, 5486, 103167, 33420, 106382, 101721, 48634, 122603, 126120, 96455, 102040, 65575, 65299, 76739, 39880, 30512, 103664, 64063, 54926, 102944, 103195, 66383, 87177, 103792, 9174, 13177, 3624, 16407, 68408, 66953, 112900, 15682, 5486, 112599, 16144, 71493, 127194, 113714, 60868, 19732, 104770, 104409, 16144, 52591, 67075, 115507, 52414, 16556, 103350, 99741, 88367, 103195, 29295, 5486, 115240, 107391, 57326, 109933, 28542, 16556, 21980, 236, 11883, 27384, 106045, 54872, 80805, 32131, 44971, 33710, 107420, 64810, 26269, 60868, 30512, 103350, 23039, 108608, 10646, 9174, 124366, 71634, 33710, 102667, 5486, 107850, 23039, 48634, 48864, 57207, 114676, 114341, 104599, 5486, 107420, 109531, 110548, 39850, 127058, 5486, 9023, 8529, 8269, 329, 942, 15682, 5486, 3624, 16407, 39880, 38248, 255, 57933, 29220, 109933, 30512, 117355, 33857, 45923, 42634, 107060, 20230, 103214, 64121, 104526, 102189, 9174, 13177, 85701, 120577, 71493, 127194, 16556, 108008, 20230, 72238, 116366, 114420, 109335, 121453, 102800, 68759, 57207, 16073, 32131, 118928, 94550, 121432, 121142, 103470, 106116, 91875, 19967, 22398, 70563, 65575, 19732, 117355, 33857, 106391, 13153, 103195, 66383, 42016, 105514, 15682, 122984, 103792, 1811, 128001, 128000, 567, 102362, 56965, 16144, 101171, 111, 198, 101171, 111, 16144, 76739, 29220, 60868, 115844, 16144, 122678, 107918, 107624, 95001, 111363, 39880, 122086, 22398, 113170, 112568, 16144, 101171, 111, 30512, 110456, 106266, 15024, 5486, 104195, 48634, 26854, 101171, 111, 121432, 30512, 112258, 249, 58942, 33541, 115228, 109095, 48634, 19732, 101171, 111, 16144, 66378, 34171, 16144, 18904, 109095, 30512, 104195, 33208, 103801, 109954, 122262, 106081, 106624, 70897, 106609, 101171, 111, 15682, 99849, 112130, 95532, 101171, 111, 15682, 109242, 122202, 26854, 32648, 102078, 116787, 33541, 16325, 20119, 95, 101365, 106613, 39276, 112028, 34048, 116787, 5486, 32335, 32977, 104735, 101, 27384, 19732, 53283, 125398, 101171, 111, 112028, 34048, 116787, 33541, 118844, 15682, 5486, 103892, 105623, 233, 101921, 242, 16144, 25580, 28190, 19732, 17905, 34048, 20230, 82912, 126020, 5486, 37087, 38144, 16144, 20648, 118, 111528, 104770, 20230, 48706, 126020, 33541, 1811, 101171, 111, 16144, 123274, 77181, 101171, 111, 101171, 232, 100499, 226, 107654, 19732, 127173, 104028, 108950, 31958, 26854, 107654, 33014, 107809, 16556, 101171, 111, 15682, 111179, 102532, 108086, 5486, 123050, 121432, 5486, 118656, 9554, 124001, 103048, 115075, 48864, 16144, 110176, 24273, 30512, 112624, 28713, 127145, 1811, 116196, 111, 15682, 119049, 107079, 112130, 11571, 76771, 223, 104067, 15682, 118430, 118095, 20230, 101171, 111, 15682, 119049, 107079, 19732, 112361, 47884, 33655, 78183, 123207, 13079, 108, 58942, 100481, 126145, 78244, 61689, 29295, 112160, 59739, 31958, 105184, 26854, 104468, 116196, 111, 15682, 119049, 107079, 77181, 124897, 119049, 104398, 112506, 16556, 106391, 13153, 110731, 16144, 77181, 43568, 47884, 5486, 9039, 102718, 32307, 107707, 100818, 116, 52084, 19732, 111398, 103397, 104584, 72718, 113468, 50021, 106483, 30177, 106307, 103646, 118331, 118517, 16073, 104067, 113468, 115376, 84389, 33541, 9174, 567, 116196, 111, 16144, 107734, 30832, 107118, 11571, 101171, 111, 16144, 121432, 198, 101171, 111, 16144, 108729, 109904, 105494, 103306, 121270, 20119, 95, 101365, 106613, 39276, 32977, 198, 101171, 111, 15682, 5486, 33014, 19732, 64209, 16144, 102717, 19732, 124592, 16144, 121432, 30512, 44416, 109088, 15024, 5486, 104873, 107792, 54926, 124122, 40452, 30046, 103306, 23187, 104577, 54926, 105908, 103082, 79721, 51330, 105933, 105324, 107246, 71289, 64209, 105567, 123160, 107693, 26854, 121432, 55031, 5486, 113871, 71289, 72406, 95, 58942, 5486, 119455, 50834, 104309, 71289, 22649, 34171, 5486, 61304, 125534, 48634, 5486, 61633, 5486, 125641, 16144, 40452, 71289, 123120, 104309, 1811, 9174, 86127, 126027, 104654, 107809, 16556, 125119, 30369, 122617, 5486, 113136, 120379, 16325, 71289, 72718, 50834, 100934, 122756, 125119, 30369, 103826, 104680, 26854, 30926, 5486, 105324, 107246, 5486, 36735, 112, 112854, 111476, 9, 2118, 114516, 15682, 5486, 104940, 102802, 5486, 105465, 21105, 243, 5486, 116292, 21105, 243, 5486, 115924, 103192, 71289, 103001, 228, 50834, 104309, 15682, 37087, 38144, 15682, 101171, 111, 16144, 101399, 103195, 30926, 30512, 53283, 30369, 125231, 103195, 124845, 53283, 109375, 30512, 108710, 50928, 56051, 31431, 5486, 91774, 115926, 5486, 104655, 102334, 31431, 39926, 5486, 58666, 102800, 102944, 71289, 5486, 106594, 109161, 5486, 58666, 103868, 21105, 243, 104309, 32977, 101171, 111, 112197, 32149, 102639, 38641, 124845, 58426, 101399, 20230, 114760, 95221, 110276, 31431, 5486, 111663, 112854, 30512, 125119, 56051, 31431, 5486, 109755, 119467, 20230, 124364, 123671, 33541, 30019, 58426, 110456, 106266, 30512, 101171, 111, 16144, 121894, 29295, 105298, 37087, 16556, 43568, 16995, 126101, 113420, 58942, 123207, 26854, 31431, 107515, 30019, 58426, 115552, 77181, 32943, 26274, 241, 15682, 114516, 16144, 112366, 16144, 48634, 103195, 19732, 112844, 30926, 38641, 34045, 9, 21370, 240, 89154, 107059, 57933, 22398, 1161, 2506, 53, 264, 34, 8, 105432, 244, 109020, 103429, 95221, 109853, 198, 107461, 89154, 107059, 57933, 22398, 29295, 109832, 67178, 15024, 102334, 121640, 111476, 114516, 16144, 101171, 111, 15682, 5486, 32335, 32977, 109242, 122202, 26854, 5486, 105037, 236, 62004, 102334, 109832, 19967, 112028, 59739, 116787, 5486, 115963, 20230, 47406, 104812, 100, 26854, 110164, 121040, 72661, 57903, 33541, 40265, 39177, 15682, 107461, 89154, 107059, 57933, 22398, 19732, 58426, 113146, 124911, 104680, 15682, 67645, 33121, 108680, 101171, 111, 109853, 53283, 109375, 30512, 102987, 109315, 30926, 29295, 106084, 30369, 32149, 30512, 101067, 66201, 106084, 105823, 104127, 56051, 1811, 101365, 106613, 115240, 71289, 126784, 5486, 112027, 48864, 5486, 127298, 48864, 5486, 101365, 106613, 108396, 123160, 60358, 31640, 112113, 112212, 106391, 67178, 71289, 121432, 104309, 114556, 39926, 16144, 16995, 47884, 59739, 116421, 109243, 28741, 30512, 50338, 31958, 105260, 121256, 119520, 5486, 39442, 36785, 50338, 31958, 17663, 125231, 107750, 99397, 71289, 39442, 53283, 26854, 105494, 29295, 48706, 105260, 78434, 9174, 567, 116196, 111, 16144, 105494, 198, 122617, 16144, 101171, 232, 103433, 236, 91875, 53953, 15682, 5486, 101171, 111, 114792, 76947, 108086, 5486, 17297, 61304, 16144, 105494, 16556, 106391, 13153, 116216, 108086, 33541, 9174, 101171, 111, 27384, 101171, 111, 105871, 105284, 113468, 115376, 116216, 108086, 5486, 101171, 111, 117392, 113468, 89046, 102971, 103646, 17, 118821, 103268, 79059, 7, 16, 8, 80539, 198, 567, 102362, 56965, 16144, 101171, 111, 16144, 66378, 17599, 112, 198, 114516, 16144, 101171, 111, 16144, 30358, 30813, 15682, 67645, 33121, 120264, 123253, 30, 67645, 16144, 120264, 16144, 119448, 30813, 123253, 32149, 11571, 67645, 16144, 120264, 16144, 118331, 118517, 113883, 101171, 111, 114792, 103836, 105879, 109954, 32149, 95532, 12, 102362, 56965, 16144, 101171, 111, 102052, 27384, 101171, 111, 105871, 105284, 15682, 5486, 32335, 32977, 103130, 33208, 15024, 5486, 109242, 122202, 26854, 105494, 112028, 59739, 116787, 33541, 107751, 16144, 104091, 126036, 115844, 29295, 119448, 16995, 103378, 126194, 5486, 53900, 112959, 50834, 114308, 5486, 108881, 31431, 40198, 111, 64121, 5486, 40198, 111, 64121, 104526, 102189, 31431, 5486, 36117, 251, 112212, 66378, 17599, 112, 109904, 15024, 78183, 16144, 48915, 114181, 30512, 58318, 58942, 33541, 9174, 12, 102362, 56965, 16144, 101171, 111, 15682, 5486, 103664, 16, 13, 19, 12, 16, 12, 20, 62903, 42634, 16144, 30358, 33857, 116787, 5486, 111482, 77181, 8190, 15, 12810, 30591, 28713, 111331, 119448, 30813, 16556, 5486, 123737, 77181, 9390, 15, 16144, 641, 30591, 28713, 111331, 119448, 30813, 38641, 9174, 12, 116196, 111, 10110, 80539, 101171, 232, 100499, 226, 119735, 100499, 226, 115716, 19732, 127173, 104028, 115716, 16556, 101307, 117633, 84389, 5486, 103892, 105623, 233, 110135, 113115, 54926, 76537, 107666, 55031, 106154, 31431, 33541, 9174, 12, 18049, 230, 31431, 106154, 31431, 30512, 104195, 107608, 117657, 101399, 5486, 101171, 111, 15682, 101171, 111, 101171, 232, 100499, 226, 107654, 20230, 111179, 102532, 108086, 33541, 9174, 12, 102362, 56965, 16144, 101171, 111, 15682, 5486, 16, 11, 931, 117913, 16144, 101365, 106613, 104398, 112506, 16556, 106391, 13153, 110731, 19732, 84851, 23187, 116216, 61689, 5486, 36668, 20230, 118331, 118517, 16073, 19732, 41758, 104612, 104398, 112506, 38641, 9174, 118331, 118517, 16073, 220, 85701, 33503, 15682, 5486, 101682, 22023, 107420, 64810, 22398, 108134, 30512, 37705, 22023, 54926, 124122, 119389, 33208, 56051, 104398, 112506, 116787, 5486, 104398, 112506, 44971, 115882, 32149, 104398, 112506, 32943, 16556, 23039, 123671, 33541, 1811, 101721, 95221, 116945, 109904, 22023, 18476, 113468, 85701, 117824, 61689, 10110, 101365, 106613, 76171, 80805, 33710, 22398, 7705, 89154, 57933, 16073, 123618, 112415, 19732, 127173, 33121, 33541, 1811, 106391, 67178, 112535, 118331, 118517, 16073, 15682, 112361, 105284, 16144, 31634, 72238, 114792, 76947, 108086, 127177, 104398, 112506, 19732, 112361, 115514, 108044, 108134, 30512, 96412, 104127, 108086, 33541, 1811, 118331, 118517, 16073, 15682, 5486, 18, 118821, 105494, 113468, 115376, 116216, 61689, 1811, 120738, 103857, 71289, 101365, 106613, 104398, 112506, 33014, 7, 21, 8, 47260, 39880, 30512, 96412, 104004, 5486, 104398, 112506, 16144, 105572, 34048 ]
[ 116787, 33541, 10110, 1846, 45, 30512, 96412, 104004, 7705, 31809, 112506, 33014, 19732, 37823, 103672, 102741, 103202, 10110, 47307, 115695, 29220, 105284, 30512, 102404, 21990, 7705, 101198, 20251, 47260, 102860, 104612, 10110, 76739, 124643, 104603, 11972, 30512, 102404, 21990, 7705, 101365, 106613, 104398, 112506, 33014, 126250, 102717, 19732, 124592, 16144, 31640, 118835, 104398, 112506, 121432, 1811, 101365, 106613, 104398, 112506, 33014, 29295, 102625, 101832, 81219, 5486, 104398, 112506, 32977, 102625, 20230, 33541, 1811, 113168, 116, 52084, 7, 18, 8, 101365, 106613, 104398, 112506, 33014, 16144, 109337, 101544, 116787, 36896, 102663, 121294, 10646, 103826, 116787, 33541, 106116, 79982, 106968, 102052, 79982, 45829, 71289, 106353, 101171, 230, 114431, 97, 7, 17, 8, 220, 77693, 33503, 15682, 5486, 120098, 57207, 96452, 57326, 22398, 57903, 320, 20, 8, 101365, 106613, 76171, 80805, 33710, 22398, 29295, 37705, 22023, 84389, 33541, 10110, 57207, 96452, 57326, 22398, 123628, 31634, 72238, 7705, 100818, 116, 52084, 16144, 101544, 30813, 15682, 5486, 118331, 118517, 16073, 55031, 118331, 118517, 16073, 102416, 119448, 47884, 108901, 26854, 31431, 33541, 118844, 33503, 15682, 101198, 76739, 107805, 16144, 114050, 16556, 101307, 117633, 116216, 61689, 7, 19, 8, 117737, 78943, 16144, 37705, 22023, 30512, 118649, 95399, 32149, 59739, 119237, 120650, 61689, 1811, 43240, 119064, 101198, 76739, 107805, 29295, 100818, 116, 52084, 20230, 96412, 103214, 17129, 115032, 110018, 15682, 105755, 17663, 81219, 71289, 47884, 101365, 106613, 76171, 80805, 33710, 22398, 30512, 104195, 44416, 78434, 1811, 41642, 115195, 118331, 118517, 16073, 15682, 32335, 32977, 101198, 76739, 107805, 30512, 96412, 104127, 108086, 33541, 59459, 99750, 112854, 124001, 117401, 118331, 118517, 16073, 7705, 108134, 29295, 105755, 101544, 16995, 106613, 47095, 30512, 127284, 21105, 103, 118145, 105110, 100604, 110229, 38641, 108425, 117, 103397, 104584, 72718, 7, 16, 8, 101365, 106613, 104398, 112506, 33014, 55031, 102321, 104028, 103223, 102540, 16144, 103826, 26854, 101365, 106613, 105721, 106968, 16556, 123231, 1811, 111398, 103397, 104584, 72718, 15682, 5486, 108134, 114475, 22023, 54926, 36668, 26854, 13153, 17620, 116787, 33541, 529, 1811, 26016, 111398, 103397, 104584, 72718, 15682, 5486, 108134, 114475, 22023, 54926, 36668, 26854, 13153, 17620, 116787, 33541, 10110, 89154, 71634, 57207, 96452, 57326, 22398, 31634, 72238, 7705, 17, 118821, 118331, 118517, 16073, 56965, 16144, 118597, 30512, 88367, 117657, 102944, 38641, 115334, 104612, 104398, 112506, 50, 10153, 32335, 32977, 119515, 105469, 26854, 104398, 112506, 116787, 33541, 1811, 13153, 107707, 101171, 111, 16556, 17620, 117068, 54926, 106556, 115991, 5486, 10110, 101365, 106613, 17039, 21990, 7705, 77693, 120577, 48706, 15682, 5486, 109431, 102769, 26854, 101171, 111, 121432, 20230, 109215, 38641, 1811, 118331, 118517, 113883, 124122, 105572, 26854, 106391, 67178, 109904, 109189, 30512, 106391, 13153, 126020, 5486, 105755, 57980, 16995, 57207, 96452, 57326, 22398, 108044, 104067, 16144, 113009, 19361, 100499, 226, 100818, 116, 52084, 30512, 101307, 117633, 105260, 78434, 59459, 107271, 102756, 16073, 104398, 112506, 7705, 85701, 33503, 15682, 5486, 101365, 106613, 88356, 21990, 124001, 23951, 109095, 114556, 58318, 54926, 104398, 112506, 39850, 71493, 78683, 78525, 91062, 16144, 15308, 226, 113598, 80631, 95, 112500, 54926, 107734, 111017, 30512, 28873, 110467, 5486, 88356, 21990, 71289, 101365, 106613, 23951, 109095, 114556, 58318, 15024, 5486, 103911, 103181, 30177, 104091, 121432, 5486, 104473, 107654, 101171, 111, 97518, 103722, 30512, 109205, 69978, 104309, 1811, 39880, 71634, 42634, 116229, 5486, 118028, 103621, 68408, 102860, 42634, 116229, 124001, 101198, 29220, 77750, 104612, 123160, 41758, 104612, 104398, 112506, 16144, 16995, 47884, 59739, 116421, 104091, 104770, 29295, 123231, 1811, 106968, 101862, 95, 101365, 106613, 39276, 16144, 107271, 102756, 16073, 104398, 112506, 5486, 108581, 78519, 124001, 68759, 110305, 104774, 78767, 112470, 108, 39135, 53953, 105284, 36668, 20230, 101365, 106613, 104398, 112506, 16144, 104398, 112506, 33014, 19732, 111398, 103397, 104584, 72718, 121711, 33541, 1811, 110849, 53953, 105284, 15682, 101365, 106613, 104398, 112506, 71289, 100818, 116, 52084, 16144, 48706, 54926, 105494, 38641, 1811, 101365, 106613, 104398, 112506, 16144, 100818, 116, 52084, 29295, 104622, 61826, 76739, 104612, 115991, 33541, 1811, 101828, 108005, 121, 16995, 104468, 43240, 47884, 29295, 101198, 76739, 107805, 30512, 103768, 55031, 121711, 33541, 9174, 567, 116196, 111, 29295, 67645, 119775, 121432, 78434, 32149, 95532, 101171, 111, 15682, 101365, 106613, 104398, 112506, 56965, 16144, 101721, 95221, 116945, 76171, 80805, 33710, 22398, 113468, 108134, 16144, 108044, 104067, 30512, 75910, 39926, 91875, 19967, 78434, 10110, 127177, 101682, 37729, 104398, 112506, 19732, 76739, 111661, 29220, 102514, 7705, 85701, 15682, 5486, 57207, 96452, 57326, 22398, 126867, 102404, 21990, 84389, 33541, 1811, 57207, 96452, 57326, 22398, 77181, 104398, 112506, 19732, 118331, 118517, 16073, 30512, 30177, 109835, 107726, 33541, 1811, 116945, 9554, 124001, 101721, 95221, 109904, 110456, 106266, 113468, 127177, 104398, 112506, 30512, 110456, 106266, 56051, 31431, 5486, 114632, 104698, 56051, 31431, 54926, 30926, 30512, 88367, 19732, 78434, 1811, 100818, 116, 52084, 106968, 79982, 16144, 103672, 127065, 15682, 5486, 118597, 16144, 57207, 96452, 57326, 22398, 25580, 118331, 118517, 113883, 31634, 72238, 116787, 33541, 108048, 112212, 118331, 118517, 16073, 15682, 5486, 111398, 103397, 104584, 72718, 71289, 104398, 112506, 33014, 101182, 16995, 15682, 103283, 16144, 100818, 116, 52084, 19732, 118597, 117824, 61689, 9174, 118331, 118517, 16073, 30512, 33035, 100204, 28713, 108134, 16144, 122617, 110371, 37705, 22023, 15682, 5486, 101198, 37823, 47018, 110904, 25129, 16556, 23039, 123671, 33541, 1811, 115963, 112649, 104873, 107792, 15024, 5486, 9039, 102718, 16144, 30177, 106307, 30512, 102404, 21990, 15024, 86127, 127282, 5486, 53283, 112854, 15024, 113954, 15024, 5486, 102616, 20230, 109431, 102769, 113115, 106608, 54926, 105908, 125545, 107030, 104680, 15682, 9039, 47018, 16556, 9039, 103633, 17701, 48634, 19732, 9039, 103633, 20834, 48634, 114475, 76622, 108167, 33541, 5486, 67016, 32977, 122582, 115464, 16556, 22398, 112900, 16144, 39177, 82420, 16144, 103826, 26854, 102097, 27479, 16556, 91875, 19967, 78434, 1811, 86127, 127282, 5486, 101171, 111, 30512, 15682, 33014, 37087, 33014, 19732, 127253, 5486, 101171, 111, 32943, 16556, 30177, 106307, 54926, 27384, 106045, 54872, 26854, 55487, 101911, 16144, 103826, 20230, 101067, 66201, 106084, 33541, 9174, 567, 102362, 56965, 16144, 101171, 111, 16144, 102404, 104067, 198, 67645, 119775, 101171, 111, 29295, 102404, 104067, 78434, 32149, 95532, 114516, 16144, 101171, 111, 16144, 102404, 104067, 15682, 5486, 91939, 248, 16144, 38574, 106090, 16556, 27704, 109709, 33541, 5486, 80539, 120331, 16556, 105721, 116547, 33541, 101682, 118480, 74482, 124059, 32149, 19, 111299, 56965, 16556, 5486, 101171, 111, 71289, 101171, 232, 100499, 226, 16144, 113702, 103306, 21990, 100204, 30369, 101365, 106613, 36651, 30512, 115376, 15024, 27704, 62004, 33541, 1811, 110924, 55031, 119568, 15682, 101171, 111, 16144, 115376, 19732, 102404, 77413, 107294, 105722, 30369, 115079, 125131, 5486, 109739, 102149, 124001, 104398, 112506, 17620, 33208, 16144, 107420, 64810, 22398, 29295, 58318, 58942, 125398, 105047, 95399, 26854, 107420, 64810, 22398, 30512, 111671, 78434, 1811, 118331, 118517, 16073, 15682, 101365, 106613, 36651, 16556, 21990, 106518, 116216, 61689, 106116, 74482, 101171, 111, 16144, 107693, 26854, 105494, 30512, 115376, 54926, 101399, 20230, 60634, 23039, 78434, 5486, 80539, 124042, 112535, 103031, 33503, 15682, 17620, 33208, 39926, 5486, 66378, 23187, 26854, 121432, 16144, 101399, 20230, 66378, 33208, 105260, 78434, 9174, 122282, 103732, 104533, 198, 20834, 21990, 112772, 121410, 17620, 5154, 931, 21990, 106518, 101171, 107722, 112506, 20230, 28037, 104067, 54926, 105908, 125545, 1811, 103350, 104983, 109657, 108056, 16144, 101171, 111, 19732, 101365, 106613, 104398, 112506, 15682, 106116, 74482, 109215, 117408, 122617, 29295, 96412, 17129, 106824, 61689, 5486, 67016, 21105, 251, 33121, 15682, 30177, 106307, 116216, 108086, 107515, 1811, 119869, 16144, 17, 8107, 56965, 119568, 33503, 15682, 115847, 120577, 30177, 106307, 30512, 105184, 80195, 15024, 27704, 62004, 33541, 66378, 20230, 117501, 110792, 50021, 106483, 113266, 19732, 101682, 22023, 103646, 110456, 106266, 111848, 102944, 38641, 1811, 100499, 226, 111896, 246, 115376, 16144, 117120, 22649, 220, 15, 12, 717, 113746, 16144, 109657, 108056, 15682, 5486, 101171, 232, 100499, 226, 19732, 101171, 111, 116388, 67016, 13153, 101544, 126020, 107515, 109807, 101399, 5486, 95543, 105644, 101365, 106613, 19732, 21990, 25359, 16144, 101399, 20230, 127379, 102334, 31431, 5486, 125764, 115926, 5486, 121120, 28713, 111331, 108729, 109904, 121432, 16144, 110456, 106266, 20230, 67016, 95543, 106608, 103801, 72342, 25827, 1811, 117501, 114556, 89046, 54926, 32943, 20230, 17039, 102800, 47260, 102750, 122131, 126694, 13153, 15024, 119568, 33503, 15682, 114225, 20230, 103984, 101911, 30512, 70141, 30369, 5486, 45829, 79785, 30512, 103721, 108, 31431, 104196, 56051, 31431, 5486, 78244, 102158, 30512, 113954, 54926, 123160, 53953, 30926, 30512, 48864, 102802, 33541, 5486, 220, 18, 102280, 119400, 102052, 119436, 115844, 16144, 101171, 111, 16144, 102717, 109416, 1490, 113127, 30512, 108928, 107436, 61689, 110745, 101171, 111, 115195, 102057, 223, 39276, 124001, 27384, 101171, 111, 105871, 105284, 29295, 114652, 102404, 104067, 127145, 118844, 112212, 125641, 30512, 21405, 102321, 56051, 31431, 5486, 109739, 102189, 31431, 5486, 9039, 107800, 31431, 87177, 56051, 31431, 54926, 30926, 29295, 88367, 121711, 33541, 109807, 101399, 110371, 8107, 106036, 95, 17129, 77181, 101171, 111, 15682, 58426, 31540, 120677, 34171, 29295, 112366, 103195, 19732, 113727, 102204, 33541, 118844, 112212, 15120, 34048, 29295, 125173, 114218, 120837, 127177, 105494, 29295, 58426, 121432, 117824, 58942, 33541, 59459, 77693, 17129, 77181, 112185, 108038, 20230, 66378, 33208, 109768, 100604, 105879, 7705, 116196, 111, 15682, 118104, 117282, 17129, 77181, 108038, 20230, 13153, 101544, 126020, 107515, 115397, 87217, 82973, 16144, 115856, 117295, 105494, 15682, 123120, 16144, 44416, 109088, 71289, 37026, 44416, 5486, 109606, 16144, 50338, 104662, 123160, 107734, 111017, 114792, 59739, 25580, 103892, 105065, 121711, 33541, 9174, 80673, 5486, 101171, 111, 16144, 13153, 109809, 29295, 105721, 78183, 100472, 107803, 72661, 5486, 101171, 111, 32943, 77181, 39442, 36785, 101365, 106613, 17039, 21990, 29295, 23039, 123671, 5486, 20251, 44971, 118928, 94550, 112212, 17039, 102800, 47260, 102750, 122131, 126694, 13153, 15024, 5486, 118331, 118517, 113883, 30177, 106307, 30512, 104195, 33208, 105260, 78434, 118844, 15682, 5486, 101171, 111, 16144, 31540, 120677, 34171, 16144, 108729, 38641, 9174, 567, 116196, 111, 16144, 20251, 44971, 118928, 94550, 29295, 88367, 112130, 11571, 34, 4021, 72, 24231, 29295, 67645, 16144, 103826, 20230, 107734, 80195, 59739, 32149, 198, 101171, 111, 16144, 31540, 120677, 34171, 19732, 17039, 102800, 30177, 106307, 117824, 16995, 5486, 117382, 16144, 30177, 106307, 30512, 104195, 33208, 54926, 106556, 112197, 32149, 102639, 16556, 5486, 37046, 104680, 16144, 104736, 53283, 22398, 62903, 33710, 30512, 70141, 17905, 54926, 30926, 29295, 106084, 33541, 1811, 34, 4021, 72, 24231, 108911, 33334, 53508, 100, 62004, 54926, 103826, 26854, 20251, 44971, 118928, 94550, 19732, 104736, 53283, 110456, 106266, 29295, 8239, 114503, 121711, 33541, 1811, 128001, 128000, 14711, 123182, 107610, 25197, 52591, 99959, 16073, 107118, 95532, 33710, 107610, 25197, 52591, 99959, 16073, 107118, 111090, 118823, 110322, 106306, 29295, 104908, 54926, 16786, 16144, 115681, 105525, 107691, 103223, 64178, 38641, 1811, 115681, 105525, 107691, 103223, 64178, 16144, 106548, 103214, 64121, 15682, 117896, 16144, 122481, 16556, 114140, 125545, 9174, 33710, 107610, 25197, 52591, 99959, 16073, 15682, 46034, 9039, 42506, 29295, 126172, 47884, 57207, 108969, 33710, 26854, 106548, 103214, 64121, 29295, 66378, 17599, 112, 16556, 5486, 54322, 22324, 120837, 60632, 105576, 30512, 109415, 126172, 16995, 123141, 104856, 76947, 61689, 9174, 37271, 18904, 15682, 107943, 33710, 107610, 25197, 52591, 99959, 16073, 30512, 50520, 111, 106624, 126362, 78434, 9174, 33710, 107610, 25197, 52591, 99959, 16073, 109853, 16144, 116718, 15682, 117896, 198, 14711, 123182, 107610, 25197, 52591, 99959, 16073, 20230, 109431, 56051, 57933, 29220, 78683, 115145, 9174, 45048, 103188, 86436, 45736, 112603, 9458, 51385, 112603, 9174, 127880, 78698, 105262, 32335, 32977, 126053, 16995, 33710, 107610, 25197, 52591, 99959, 113883, 33655, 16995, 24273, 15682, 111999, 76428, 17905, 48249, 5486, 17297, 48249, 30512, 101067, 23187, 15024, 17297, 102936, 39177, 125173, 21388, 30512, 102178, 111665, 39926, 55031, 24615, 120, 122502, 124545, 102677, 102944, 38641, 9174, 58426, 103846, 5486, 111999, 76428, 120938, 48249, 5486, 17297, 48249, 30512, 104662, 109315, 110115, 32335, 32977, 33655, 114774, 17663, 16995, 103188, 86436, 45736, 112603, 5486, 51385, 112603, 15682, 33710, 107610, 25197, 52591, 99959, 16073, 20230, 32335, 32977, 109431, 56051, 57933, 29220, 78683, 115145, 118816, 78244, 58942, 33541, 9174, 53900, 5486, 103188, 86436, 45736, 112603, 15682, 43240, 119064, 114754, 26130, 30832, 103792, 103846, 60868, 121057, 118372, 115717, 126172, 47884, 5486, 32335, 32977, 104195, 48634, 26854, 57933, 29220, 78683, 115145, 118816, 78244, 58942, 33541, 9174, 45048, 24775, 102769, 111331, 104712, 83687, 9174, 120389, 35757, 4364, 35757, 119775, 24775, 102769, 111331, 57980, 16995, 44971, 84477, 32977, 114652, 60868, 121057, 118372, 108176, 103846, 5486, 111999, 76428, 17905, 48249, 9458, 17297, 48249, 30512, 104662, 109315, 110115, 109431, 127145, 9174, 24775, 102769, 111331, 57980, 16995, 83687, 29295, 53901, 112495, 114754, 127181, 102677, 127298, 9554, 31634, 63212, 29295, 124858, 20230, 57903, 33541, 9174, 44971, 84477, 16144, 83687, 121142, 103470, 5486, 20, 113127, 17297, 102936, 71289, 605, 113127, 17297, 102936, 50667, 5486, 17297, 102936, 111017, 40862, 72661, 24775, 102769, 111331, 57980, 16995, 83687, 29295, 110426, 108176, 105908, 127181, 38641, 9174, 103268, 112603, 114941, 15024, 10110, 17297, 102936, 111044, 16144, 1135, 113127, 103378, 95543, 102404, 54926, 100909, 7705, 50667, 32977, 19361, 13372, 119627, 5486, 42016, 103826, 16144, 102944, 38641, 9174, 45048, 20251, 44971, 102860, 118372, 9174, 33671, 117201, 107693, 26854, 112973, 20251, 44971, 102860, 118372, 38641, 9174, 107693, 26854 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 116787, 33541, 10110, 1846, 45, 30512, 96412, 104004, 7705, 31809, 112506, 33014, 19732, 37823, 103672, 102741, 103202, 10110, 47307, 115695, 29220, 105284, 30512, 102404, 21990, 7705, 101198, 20251, 47260, 102860, 104612, 10110, 76739, 124643, 104603, 11972, 30512, 102404, 21990, 7705, 101365, 106613, 104398, 112506, 33014, 126250, 102717, 19732, 124592, 16144, 31640, 118835, 104398, 112506, 121432, 1811, 101365, 106613, 104398, 112506, 33014, 29295, 102625, 101832, 81219, 5486, 104398, 112506, 32977, 102625, 20230, 33541, 1811, 113168, 116, 52084, 7, 18, 8, 101365, 106613, 104398, 112506, 33014, 16144, 109337, 101544, 116787, 36896, 102663, 121294, 10646, 103826, 116787, 33541, 106116, 79982, 106968, 102052, 79982, 45829, 71289, 106353, 101171, 230, 114431, 97, 7, 17, 8, 220, 77693, 33503, 15682, 5486, 120098, 57207, 96452, 57326, 22398, 57903, 320, 20, 8, 101365, 106613, 76171, 80805, 33710, 22398, 29295, 37705, 22023, 84389, 33541, 10110, 57207, 96452, 57326, 22398, 123628, 31634, 72238, 7705, 100818, 116, 52084, 16144, 101544, 30813, 15682, 5486, 118331, 118517, 16073, 55031, 118331, 118517, 16073, 102416, 119448, 47884, 108901, 26854, 31431, 33541, 118844, 33503, 15682, 101198, 76739, 107805, 16144, 114050, 16556, 101307, 117633, 116216, 61689, 7, 19, 8, 117737, 78943, 16144, 37705, 22023, 30512, 118649, 95399, 32149, 59739, 119237, 120650, 61689, 1811, 43240, 119064, 101198, 76739, 107805, 29295, 100818, 116, 52084, 20230, 96412, 103214, 17129, 115032, 110018, 15682, 105755, 17663, 81219, 71289, 47884, 101365, 106613, 76171, 80805, 33710, 22398, 30512, 104195, 44416, 78434, 1811, 41642, 115195, 118331, 118517, 16073, 15682, 32335, 32977, 101198, 76739, 107805, 30512, 96412, 104127, 108086, 33541, 59459, 99750, 112854, 124001, 117401, 118331, 118517, 16073, 7705, 108134, 29295, 105755, 101544, 16995, 106613, 47095, 30512, 127284, 21105, 103, 118145, 105110, 100604, 110229, 38641, 108425, 117, 103397, 104584, 72718, 7, 16, 8, 101365, 106613, 104398, 112506, 33014, 55031, 102321, 104028, 103223, 102540, 16144, 103826, 26854, 101365, 106613, 105721, 106968, 16556, 123231, 1811, 111398, 103397, 104584, 72718, 15682, 5486, 108134, 114475, 22023, 54926, 36668, 26854, 13153, 17620, 116787, 33541, 529, 1811, 26016, 111398, 103397, 104584, 72718, 15682, 5486, 108134, 114475, 22023, 54926, 36668, 26854, 13153, 17620, 116787, 33541, 10110, 89154, 71634, 57207, 96452, 57326, 22398, 31634, 72238, 7705, 17, 118821, 118331, 118517, 16073, 56965, 16144, 118597, 30512, 88367, 117657, 102944, 38641, 115334, 104612, 104398, 112506, 50, 10153, 32335, 32977, 119515, 105469, 26854, 104398, 112506, 116787, 33541, 1811, 13153, 107707, 101171, 111, 16556, 17620, 117068, 54926, 106556, 115991, 5486, 10110, 101365, 106613, 17039, 21990, 7705, 77693, 120577, 48706, 15682, 5486, 109431, 102769, 26854, 101171, 111, 121432, 20230, 109215, 38641, 1811, 118331, 118517, 113883, 124122, 105572, 26854, 106391, 67178, 109904, 109189, 30512, 106391, 13153, 126020, 5486, 105755, 57980, 16995, 57207, 96452, 57326, 22398, 108044, 104067, 16144, 113009, 19361, 100499, 226, 100818, 116, 52084, 30512, 101307, 117633, 105260, 78434, 59459, 107271, 102756, 16073, 104398, 112506, 7705, 85701, 33503, 15682, 5486, 101365, 106613, 88356, 21990, 124001, 23951, 109095, 114556, 58318, 54926, 104398, 112506, 39850, 71493, 78683, 78525, 91062, 16144, 15308, 226, 113598, 80631, 95, 112500, 54926, 107734, 111017, 30512, 28873, 110467, 5486, 88356, 21990, 71289, 101365, 106613, 23951, 109095, 114556, 58318, 15024, 5486, 103911, 103181, 30177, 104091, 121432, 5486, 104473, 107654, 101171, 111, 97518, 103722, 30512, 109205, 69978, 104309, 1811, 39880, 71634, 42634, 116229, 5486, 118028, 103621, 68408, 102860, 42634, 116229, 124001, 101198, 29220, 77750, 104612, 123160, 41758, 104612, 104398, 112506, 16144, 16995, 47884, 59739, 116421, 104091, 104770, 29295, 123231, 1811, 106968, 101862, 95, 101365, 106613, 39276, 16144, 107271, 102756, 16073, 104398, 112506, 5486, 108581, 78519, 124001, 68759, 110305, 104774, 78767, 112470, 108, 39135, 53953, 105284, 36668, 20230, 101365, 106613, 104398, 112506, 16144, 104398, 112506, 33014, 19732, 111398, 103397, 104584, 72718, 121711, 33541, 1811, 110849, 53953, 105284, 15682, 101365, 106613, 104398, 112506, 71289, 100818, 116, 52084, 16144, 48706, 54926, 105494, 38641, 1811, 101365, 106613, 104398, 112506, 16144, 100818, 116, 52084, 29295, 104622, 61826, 76739, 104612, 115991, 33541, 1811, 101828, 108005, 121, 16995, 104468, 43240, 47884, 29295, 101198, 76739, 107805, 30512, 103768, 55031, 121711, 33541, 9174, 567, 116196, 111, 29295, 67645, 119775, 121432, 78434, 32149, 95532, 101171, 111, 15682, 101365, 106613, 104398, 112506, 56965, 16144, 101721, 95221, 116945, 76171, 80805, 33710, 22398, 113468, 108134, 16144, 108044, 104067, 30512, 75910, 39926, 91875, 19967, 78434, 10110, 127177, 101682, 37729, 104398, 112506, 19732, 76739, 111661, 29220, 102514, 7705, 85701, 15682, 5486, 57207, 96452, 57326, 22398, 126867, 102404, 21990, 84389, 33541, 1811, 57207, 96452, 57326, 22398, 77181, 104398, 112506, 19732, 118331, 118517, 16073, 30512, 30177, 109835, 107726, 33541, 1811, 116945, 9554, 124001, 101721, 95221, 109904, 110456, 106266, 113468, 127177, 104398, 112506, 30512, 110456, 106266, 56051, 31431, 5486, 114632, 104698, 56051, 31431, 54926, 30926, 30512, 88367, 19732, 78434, 1811, 100818, 116, 52084, 106968, 79982, 16144, 103672, 127065, 15682, 5486, 118597, 16144, 57207, 96452, 57326, 22398, 25580, 118331, 118517, 113883, 31634, 72238, 116787, 33541, 108048, 112212, 118331, 118517, 16073, 15682, 5486, 111398, 103397, 104584, 72718, 71289, 104398, 112506, 33014, 101182, 16995, 15682, 103283, 16144, 100818, 116, 52084, 19732, 118597, 117824, 61689, 9174, 118331, 118517, 16073, 30512, 33035, 100204, 28713, 108134, 16144, 122617, 110371, 37705, 22023, 15682, 5486, 101198, 37823, 47018, 110904, 25129, 16556, 23039, 123671, 33541, 1811, 115963, 112649, 104873, 107792, 15024, 5486, 9039, 102718, 16144, 30177, 106307, 30512, 102404, 21990, 15024, 86127, 127282, 5486, 53283, 112854, 15024, 113954, 15024, 5486, 102616, 20230, 109431, 102769, 113115, 106608, 54926, 105908, 125545, 107030, 104680, 15682, 9039, 47018, 16556, 9039, 103633, 17701, 48634, 19732, 9039, 103633, 20834, 48634, 114475, 76622, 108167, 33541, 5486, 67016, 32977, 122582, 115464, 16556, 22398, 112900, 16144, 39177, 82420, 16144, 103826, 26854, 102097, 27479, 16556, 91875, 19967, 78434, 1811, 86127, 127282, 5486, 101171, 111, 30512, 15682, 33014, 37087, 33014, 19732, 127253, 5486, 101171, 111, 32943, 16556, 30177, 106307, 54926, 27384, 106045, 54872, 26854, 55487, 101911, 16144, 103826, 20230, 101067, 66201, 106084, 33541, 9174, 567, 102362, 56965, 16144, 101171, 111, 16144, 102404, 104067, 198, 67645, 119775, 101171, 111, 29295, 102404, 104067, 78434, 32149, 95532, 114516, 16144, 101171, 111, 16144, 102404, 104067, 15682, 5486, 91939, 248, 16144, 38574, 106090, 16556, 27704, 109709, 33541, 5486, 80539, 120331, 16556, 105721, 116547, 33541, 101682, 118480, 74482, 124059, 32149, 19, 111299, 56965, 16556, 5486, 101171, 111, 71289, 101171, 232, 100499, 226, 16144, 113702, 103306, 21990, 100204, 30369, 101365, 106613, 36651, 30512, 115376, 15024, 27704, 62004, 33541, 1811, 110924, 55031, 119568, 15682, 101171, 111, 16144, 115376, 19732, 102404, 77413, 107294, 105722, 30369, 115079, 125131, 5486, 109739, 102149, 124001, 104398, 112506, 17620, 33208, 16144, 107420, 64810, 22398, 29295, 58318, 58942, 125398, 105047, 95399, 26854, 107420, 64810, 22398, 30512, 111671, 78434, 1811, 118331, 118517, 16073, 15682, 101365, 106613, 36651, 16556, 21990, 106518, 116216, 61689, 106116, 74482, 101171, 111, 16144, 107693, 26854, 105494, 30512, 115376, 54926, 101399, 20230, 60634, 23039, 78434, 5486, 80539, 124042, 112535, 103031, 33503, 15682, 17620, 33208, 39926, 5486, 66378, 23187, 26854, 121432, 16144, 101399, 20230, 66378, 33208, 105260, 78434, 9174, 122282, 103732, 104533, 198, 20834, 21990, 112772, 121410, 17620, 5154, 931, 21990, 106518, 101171, 107722, 112506, 20230, 28037, 104067, 54926, 105908, 125545, 1811, 103350, 104983, 109657, 108056, 16144, 101171, 111, 19732, 101365, 106613, 104398, 112506, 15682, 106116, 74482, 109215, 117408, 122617, 29295, 96412, 17129, 106824, 61689, 5486, 67016, 21105, 251, 33121, 15682, 30177, 106307, 116216, 108086, 107515, 1811, 119869, 16144, 17, 8107, 56965, 119568, 33503, 15682, 115847, 120577, 30177, 106307, 30512, 105184, 80195, 15024, 27704, 62004, 33541, 66378, 20230, 117501, 110792, 50021, 106483, 113266, 19732, 101682, 22023, 103646, 110456, 106266, 111848, 102944, 38641, 1811, 100499, 226, 111896, 246, 115376, 16144, 117120, 22649, 220, 15, 12, 717, 113746, 16144, 109657, 108056, 15682, 5486, 101171, 232, 100499, 226, 19732, 101171, 111, 116388, 67016, 13153, 101544, 126020, 107515, 109807, 101399, 5486, 95543, 105644, 101365, 106613, 19732, 21990, 25359, 16144, 101399, 20230, 127379, 102334, 31431, 5486, 125764, 115926, 5486, 121120, 28713, 111331, 108729, 109904, 121432, 16144, 110456, 106266, 20230, 67016, 95543, 106608, 103801, 72342, 25827, 1811, 117501, 114556, 89046, 54926, 32943, 20230, 17039, 102800, 47260, 102750, 122131, 126694, 13153, 15024, 119568, 33503, 15682, 114225, 20230, 103984, 101911, 30512, 70141, 30369, 5486, 45829, 79785, 30512, 103721, 108, 31431, 104196, 56051, 31431, 5486, 78244, 102158, 30512, 113954, 54926, 123160, 53953, 30926, 30512, 48864, 102802, 33541, 5486, 220, 18, 102280, 119400, 102052, 119436, 115844, 16144, 101171, 111, 16144, 102717, 109416, 1490, 113127, 30512, 108928, 107436, 61689, 110745, 101171, 111, 115195, 102057, 223, 39276, 124001, 27384, 101171, 111, 105871, 105284, 29295, 114652, 102404, 104067, 127145, 118844, 112212, 125641, 30512, 21405, 102321, 56051, 31431, 5486, 109739, 102189, 31431, 5486, 9039, 107800, 31431, 87177, 56051, 31431, 54926, 30926, 29295, 88367, 121711, 33541, 109807, 101399, 110371, 8107, 106036, 95, 17129, 77181, 101171, 111, 15682, 58426, 31540, 120677, 34171, 29295, 112366, 103195, 19732, 113727, 102204, 33541, 118844, 112212, 15120, 34048, 29295, 125173, 114218, 120837, 127177, 105494, 29295, 58426, 121432, 117824, 58942, 33541, 59459, 77693, 17129, 77181, 112185, 108038, 20230, 66378, 33208, 109768, 100604, 105879, 7705, 116196, 111, 15682, 118104, 117282, 17129, 77181, 108038, 20230, 13153, 101544, 126020, 107515, 115397, 87217, 82973, 16144, 115856, 117295, 105494, 15682, 123120, 16144, 44416, 109088, 71289, 37026, 44416, 5486, 109606, 16144, 50338, 104662, 123160, 107734, 111017, 114792, 59739, 25580, 103892, 105065, 121711, 33541, 9174, 80673, 5486, 101171, 111, 16144, 13153, 109809, 29295, 105721, 78183, 100472, 107803, 72661, 5486, 101171, 111, 32943, 77181, 39442, 36785, 101365, 106613, 17039, 21990, 29295, 23039, 123671, 5486, 20251, 44971, 118928, 94550, 112212, 17039, 102800, 47260, 102750, 122131, 126694, 13153, 15024, 5486, 118331, 118517, 113883, 30177, 106307, 30512, 104195, 33208, 105260, 78434, 118844, 15682, 5486, 101171, 111, 16144, 31540, 120677, 34171, 16144, 108729, 38641, 9174, 567, 116196, 111, 16144, 20251, 44971, 118928, 94550, 29295, 88367, 112130, 11571, 34, 4021, 72, 24231, 29295, 67645, 16144, 103826, 20230, 107734, 80195, 59739, 32149, 198, 101171, 111, 16144, 31540, 120677, 34171, 19732, 17039, 102800, 30177, 106307, 117824, 16995, 5486, 117382, 16144, 30177, 106307, 30512, 104195, 33208, 54926, 106556, 112197, 32149, 102639, 16556, 5486, 37046, 104680, 16144, 104736, 53283, 22398, 62903, 33710, 30512, 70141, 17905, 54926, 30926, 29295, 106084, 33541, 1811, 34, 4021, 72, 24231, 108911, 33334, 53508, 100, 62004, 54926, 103826, 26854, 20251, 44971, 118928, 94550, 19732, 104736, 53283, 110456, 106266, 29295, 8239, 114503, 121711, 33541, 1811, 128001, 128000, 14711, 123182, 107610, 25197, 52591, 99959, 16073, 107118, 95532, 33710, 107610, 25197, 52591, 99959, 16073, 107118, 111090, 118823, 110322, 106306, 29295, 104908, 54926, 16786, 16144, 115681, 105525, 107691, 103223, 64178, 38641, 1811, 115681, 105525, 107691, 103223, 64178, 16144, 106548, 103214, 64121, 15682, 117896, 16144, 122481, 16556, 114140, 125545, 9174, 33710, 107610, 25197, 52591, 99959, 16073, 15682, 46034, 9039, 42506, 29295, 126172, 47884, 57207, 108969, 33710, 26854, 106548, 103214, 64121, 29295, 66378, 17599, 112, 16556, 5486, 54322, 22324, 120837, 60632, 105576, 30512, 109415, 126172, 16995, 123141, 104856, 76947, 61689, 9174, 37271, 18904, 15682, 107943, 33710, 107610, 25197, 52591, 99959, 16073, 30512, 50520, 111, 106624, 126362, 78434, 9174, 33710, 107610, 25197, 52591, 99959, 16073, 109853, 16144, 116718, 15682, 117896, 198, 14711, 123182, 107610, 25197, 52591, 99959, 16073, 20230, 109431, 56051, 57933, 29220, 78683, 115145, 9174, 45048, 103188, 86436, 45736, 112603, 9458, 51385, 112603, 9174, 127880, 78698, 105262, 32335, 32977, 126053, 16995, 33710, 107610, 25197, 52591, 99959, 113883, 33655, 16995, 24273, 15682, 111999, 76428, 17905, 48249, 5486, 17297, 48249, 30512, 101067, 23187, 15024, 17297, 102936, 39177, 125173, 21388, 30512, 102178, 111665, 39926, 55031, 24615, 120, 122502, 124545, 102677, 102944, 38641, 9174, 58426, 103846, 5486, 111999, 76428, 120938, 48249, 5486, 17297, 48249, 30512, 104662, 109315, 110115, 32335, 32977, 33655, 114774, 17663, 16995, 103188, 86436, 45736, 112603, 5486, 51385, 112603, 15682, 33710, 107610, 25197, 52591, 99959, 16073, 20230, 32335, 32977, 109431, 56051, 57933, 29220, 78683, 115145, 118816, 78244, 58942, 33541, 9174, 53900, 5486, 103188, 86436, 45736, 112603, 15682, 43240, 119064, 114754, 26130, 30832, 103792, 103846, 60868, 121057, 118372, 115717, 126172, 47884, 5486, 32335, 32977, 104195, 48634, 26854, 57933, 29220, 78683, 115145, 118816, 78244, 58942, 33541, 9174, 45048, 24775, 102769, 111331, 104712, 83687, 9174, 120389, 35757, 4364, 35757, 119775, 24775, 102769, 111331, 57980, 16995, 44971, 84477, 32977, 114652, 60868, 121057, 118372, 108176, 103846, 5486, 111999, 76428, 17905, 48249, 9458, 17297, 48249, 30512, 104662, 109315, 110115, 109431, 127145, 9174, 24775, 102769, 111331, 57980, 16995, 83687, 29295, 53901, 112495, 114754, 127181, 102677, 127298, 9554, 31634, 63212, 29295, 124858, 20230, 57903, 33541, 9174, 44971, 84477, 16144, 83687, 121142, 103470, 5486, 20, 113127, 17297, 102936, 71289, 605, 113127, 17297, 102936, 50667, 5486, 17297, 102936, 111017, 40862, 72661, 24775, 102769, 111331, 57980, 16995, 83687, 29295, 110426, 108176, 105908, 127181, 38641, 9174, 103268, 112603, 114941, 15024, 10110, 17297, 102936, 111044, 16144, 1135, 113127, 103378, 95543, 102404, 54926, 100909, 7705, 50667, 32977, 19361, 13372, 119627, 5486, 42016, 103826, 16144, 102944, 38641, 9174, 45048, 20251, 44971, 102860, 118372, 9174, 33671, 117201, 107693, 26854, 112973, 20251, 44971, 102860, 118372, 38641, 9174, 107693, 26854 ]
[ 114667, 15682, 85701, 104088, 100934, 114754, 127181, 102677, 100909, 38641, 9174, 17620, 102780, 5486, 82973, 102780, 77181, 17792, 113468, 116700, 29295, 66953, 32131, 66953, 32131, 16556, 5486, 20, 17620, 102780, 114447, 17792, 32977, 16995, 104984, 605, 17620, 102780, 114447, 17792, 32977, 107991, 16144, 119627, 5486, 9080, 102780, 5486, 111299, 102780, 5486, 9953, 102780, 16144, 20251, 44971, 102860, 118372, 104088, 100934, 20251, 44971, 117697, 11972, 15682, 108008, 20230, 127181, 38641, 9174, 45048, 33710, 107610, 25197, 52591, 99959, 113883, 96412, 64121, 125173, 109853, 16144, 113727, 24273, 9174, 33710, 107610, 25197, 52591, 99959, 16073, 77181, 108729, 9554, 102052, 17297, 102936, 126101, 89154, 76428, 104272, 30512, 18655, 30369, 103846, 45736, 112603, 51107, 56051, 39177, 116749, 15682, 102717, 19732, 124592, 96412, 64121, 125173, 30512, 108623, 105262, 100909, 115717, 33541, 59459, 20251, 32131, 37823, 70563, 50667, 105352, 78244, 105262, 100909, 38641, 23954, 45736, 112603, 47000, 60358, 16556, 123141, 30512, 82533, 62004, 104533, 125173, 21388, 29295, 83747, 100604, 9174, 123141, 122434, 39177, 121960, 5486, 123141, 24615, 120, 122502, 39177, 117758, 20251, 108337, 33710, 125173, 105576, 29295, 57326, 112718, 108176, 32149, 15682, 5486, 33671, 29430, 112212, 104662, 109709, 33541, 9174, 123141, 24615, 120, 122502, 39177, 117758, 20251, 108337, 33710, 125173, 105576, 104023, 77693, 103296, 16144, 104662, 111587, 60632, 105576, 10, 22398, 102756, 103830, 125173, 105576, 12, 96412, 64121, 125173, 198, 14711, 123182, 107610, 25197, 52591, 99959, 113883, 109215, 103087, 35330, 198, 77181, 5486, 33710, 107610, 25197, 52591, 99959, 16073, 123410, 113009, 109215, 26854, 103087, 35330, 112987, 126910, 123253, 32149, 9174, 112318, 120389, 14, 35757, 10110, 62378, 14, 28287, 56, 7705, 16556, 18655, 73686, 56051, 19732, 103801, 109954, 124845, 112160, 95221, 20230, 35757, 45736, 101983, 114598, 123726, 108618, 104028, 104466, 5486, 103188, 86436, 18, 116358, 112603, 91875, 50834, 103195, 13177, 914, 35757, 10646, 120264, 16144, 35757, 45736, 72661, 113420, 105262, 110322, 26955, 254, 35330, 30512, 107253, 104874, 39926, 64121, 17129, 109954, 9174, 914, 35757, 16144, 35757, 45736, 105352, 113420, 105262, 104466, 54926, 107803, 5486, 33710, 107610, 25197, 52591, 99959, 113883, 116700, 112603, 111044, 19732, 109215, 103087, 35330, 16144, 116690, 15682, 88852, 16144, 121640, 38641, 10110, 18655, 73686, 82900, 15682, 16, 11, 931, 33035, 112756, 123505, 116700, 112603, 111044, 508, 103842, 255, 5232, 126075, 31634, 103087, 35330, 15682, 17, 11, 18070, 11, 931, 35757, 198, 116700, 112603, 111044, 1490, 103842, 255, 5232, 126075, 31634, 103087, 35330, 15682, 19447, 11, 931, 35757, 198, 112318, 120389, 35757, 16144, 107803, 103188, 86436, 16144, 32335, 51385, 112603, 15682, 4370, 13, 4161, 35757, 5486, 111575, 112603, 15682, 7699, 13, 4643, 35757, 26854, 105879, 198, 112599, 16144, 4044, 35757, 30591, 115926, 15682, 43514, 107106, 67645, 16325, 56965, 30591, 28713, 112586, 61689, 59459, 679, 22, 8107, 23954, 14711, 108791, 70563, 84477, 25197, 52591, 99959, 16073, 16556, 104284, 59739, 124122, 61633, 28542, 198, 9458, 115442, 30369, 32149, 17297, 29295, 30369, 116421, 112169, 34171, 104088, 110993, 107436, 89154, 76428, 104272, 30512, 18655, 30369, 104468, 114940, 33857, 18655, 73686, 19732, 112361, 1811, 104284, 125655, 125396, 29295, 126574, 110229, 16556, 27704, 109315, 198, 9458, 60632, 105184, 30512, 22957, 17129, 62004, 120650, 76947, 124089, 105879, 108167, 22957, 109416, 21105, 234, 100604, 104468, 39850, 37823, 67075, 198, 9458, 42634, 122407, 67075, 15682, 105994, 16556, 116700, 54926, 32149, 5486, 116414, 116421, 107507, 101198, 94550, 16556, 123141, 30512, 82533, 109315, 116421, 112997, 29220, 18904, 111098, 15682, 59614, 116156, 10110, 107691, 16995, 89154, 76428, 104272, 105110, 115442, 31431, 50834, 100472, 19732, 122225, 56051, 39177, 23954, 9458, 115681, 42634, 122407, 67075, 101983, 110104, 104466, 125173, 21388, 102404, 21990, 121409, 110322, 26955, 254, 35330, 10110, 103188, 86436, 16144, 32335, 51385, 112603, 103296, 16144, 106382, 11883, 16556, 103087, 106518, 7705, 30512, 17701, 106824, 33334, 47884, 198, 14711, 109359, 112756, 48154, 110792, 66378, 17599, 112, 198, 35757, 45736, 61304, 108565, 5232, 6028, 35757, 55038, 198, 35757, 51385, 61304, 108565, 5232, 6550, 35757, 55038, 198, 121374, 104364, 5232, 33334, 57980, 27929, 1958, 35757, 198, 33710, 107610, 25197, 52591, 99959, 16073, 110284, 198, 107691, 16995, 220, 6028, 56040, 1954, 35757, 198, 105525, 31431, 220, 1490, 56040, 6550, 35757, 198, 1041, 15, 33035, 112756, 5486, 1041, 79, 3153, 52118, 1041, 15, 35757, 198, 125173, 125174, 2614, 89154, 76428, 104272, 198, 33, 1490, 52118, 101067, 23187, 54926, 104721, 91875, 109518, 966, 35757, 7, 1041, 52118, 2031, 121782, 110322, 26955, 254, 35330, 23024, 11, 931, 35757, 18028, 1041, 15, 33035, 112756, 7, 16, 103664, 23187, 4728, 35757, 340, 90962, 125913, 32131, 104612, 120389, 10110, 112318, 120389, 120732, 66378, 17599, 112, 107118, 198, 90962, 125913, 32131, 104612, 15682, 109673, 107049, 109, 102465, 71289, 102465, 163, 65620, 104309, 119515, 105469, 26854, 103087, 39084, 30512, 110794, 5486, 37087, 115201, 20834, 16144, 20, 111017, 71689, 30512, 107049, 109, 53953, 103087, 39084, 29295, 108928, 62004, 100934, 100909, 55031, 5486, 90962, 125913, 32131, 104612, 120389, 10110, 88852, 5486, 112318, 120389, 119735, 103087, 39084, 29504, 33035, 112756, 102677, 110366, 28190, 114792, 76947, 61689, 9174, 53900, 5486, 90962, 125913, 32131, 104612, 15682, 59795, 30512, 112366, 16144, 80631, 123, 87844, 120007, 103306, 108086, 5486, 115201, 20834, 37087, 33014, 16144, 966, 113127, 71689, 29295, 59795, 70141, 76622, 38641, 109807, 103846, 5486, 112318, 120389, 15682, 53229, 104754, 9458, 35330, 9458, 109673, 107049, 109, 102465, 123160, 47043, 121374, 71289, 5486, 59795, 16144, 31634, 63212, 16144, 117375, 114475, 76622, 126172, 16995, 102677, 66378, 17599, 112, 115991, 33541, 9174, 59795, 16144, 106613, 111587, 64467, 105888, 29295, 103424, 118145, 112318, 120389, 20230, 57326, 112718, 5486, 86354, 95221, 115581, 235, 33208, 29295, 20379, 84150, 228, 84389, 104984, 112318, 120389, 125030, 76947, 68759, 25197, 96452, 22398, 108321, 121711, 33541, 107751, 102052, 5486, 49, 7209, 16144, 76171, 123646, 30832, 105888, 16144, 103359, 47523, 117282, 34, 1932, 71289, 6620, 47, 5486, 25132, 229, 11883, 105156, 82420, 120268, 105525, 105525, 17905, 45736, 104309, 15682, 110408, 107290, 33334, 105898, 16995, 64467, 105888, 38641, 1811, 21601, 107290, 5486, 112318, 120389, 37026, 33014, 29295, 59795, 16144, 106613, 111587, 64467, 105888, 20230, 95543, 106608, 54926, 103846, 39880, 125581, 9458, 90962, 64810, 39880, 114676, 82973, 20230, 91875, 50834, 126172, 16995, 102677, 66378, 17599, 112, 115991, 33541, 9174, 53900, 5486, 112318, 120389, 15682, 45736, 35330, 60632, 33035, 112756, 19732, 84389, 5486, 1049, 23, 8107, 18, 9953, 102052, 113495, 35330, 60632, 29295, 22, 13, 914, 113127, 103296, 113801, 109415, 102204, 79721, 29295, 5486, 679, 21, 8107, 20, 9953, 112599, 15682, 16, 13, 2075, 113127, 103296, 35330, 60632, 29295, 17297, 102936, 121256, 9174, 16, 13, 110305, 22398, 35757, 33035, 112756, 99695, 39880, 26854, 105879, 103087, 35330, 40452, 9458, 122282, 29295, 23039, 114774, 17663, 16995, 198, 17, 13, 103188, 86436, 508, 8107, 56965, 16144, 112603, 91875, 50834, 29295, 125261, 9554, 51385, 23187, 103792, 198, 18, 13, 103087, 35330, 126120, 96455, 29295, 126574, 198, 36668, 26854, 17905, 123716, 31634, 63212, 198, 127123, 40474, 110095, 105416, 75513, 48864, 112997, 29220, 71289, 114734, 127408, 16144, 74482, 56906, 198, 114734, 113495, 104614, 106075, 113801, 126233, 62004, 10110, 114181, 108867, 16144, 45736, 109709, 23954, 106613, 111587, 64467, 105888, 116808, 103, 55139, 16144, 25132, 229, 11883, 105156, 82420, 120268, 105525, 105525, 17905, 45736, 5486, 34, 1932, 123160, 106613, 111587, 64467, 105888, 29295, 117903, 103911, 101067, 30512, 17905, 18904, 30369, 126521, 83687, 16144, 107803, 71289, 59795, 16144, 106613, 111587, 64467, 105888, 29295, 126521, 107803, 198, 114950, 43949, 110, 106518, 53953, 71289, 109673, 107049, 109, 102465, 123160, 47043, 121374, 120938, 123716, 198, 36668, 26854, 17297, 102936, 31634, 63212, 198, 127123, 40474, 110095, 105416, 75513, 48864, 112997, 29220, 71289, 114734, 127408, 16144, 45736, 109709, 198, 114734, 113495, 104614, 106075, 100783, 102, 34208, 10110, 114181, 108867, 16144, 45736, 109709, 23954, 106613, 111587, 64467, 105888, 116808, 103, 55139, 71289, 59795, 16144, 106613, 111587, 64467, 105888, 29295, 117903, 103911, 101067, 30512, 17297, 18904, 30369, 109161, 16995, 83687, 16144, 107803, 198, 114950, 43949, 110, 106518, 53953, 71289, 109673, 107049, 109, 102465, 123160, 47043, 121374, 16144, 17297, 102936, 121270, 108115, 110022, 114940, 104309, 31634, 107707, 112318, 120389, 45736, 76622, 25827, 44416, 102404, 78244, 104309, 198, 73361, 120389, 198, 103188, 86436, 16144, 112603, 91875, 50834, 111044, 220, 2075, 56040, 7994, 35757, 198, 107691, 16995, 220, 2075, 56040, 7322, 35757, 198, 105525, 31431, 220, 5120, 56040, 8878, 35757, 198, 1041, 15, 33035, 112756, 5486, 914, 79, 3153, 52118, 5154, 35757, 5486, 1135, 79, 3153, 52118, 2636, 35757, 198, 914, 79, 3153, 52118, 101067, 23187, 54926, 104721, 91875, 109518, 868, 35757, 7, 5120, 52118, 2721, 121782, 110322, 26955, 254, 35330, 25021, 11, 3965, 35757, 198, 1135, 79, 3153, 52118, 101067, 23187, 54926, 104721, 91875, 109518, 508, 35757, 7, 7322, 52118, 2721, 121782, 110322, 26955, 254, 35330, 17608, 11, 7467, 35757, 18028, 1049, 15, 33035, 112756, 7, 16, 103664, 23187, 16, 11, 931, 35757, 340, 914, 20230, 1041, 15, 126036, 1135, 20230, 1049, 15, 120332, 29295, 60632, 105576, 96455, 15682, 45736, 47884, 109020, 101427, 122, 70141, 198, 73361, 45923, 114615, 66378, 17599, 112, 198, 18655, 73686, 33857, 29295, 102616, 112366, 16144, 75146, 100818, 116, 33035, 112756, 103195, 73361, 120389, 15682, 115132, 114740, 117409, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 5486, 80631, 123, 87844, 71289, 127123, 109904, 114734, 18655, 73686, 16144, 104662, 111587, 105352, 43240, 47884, 38129, 116216, 61689, 9174, 73361, 29504, 15682, 37271, 74482, 32977, 105268, 16995, 113073, 16144, 115079, 21601, 29295, 103911, 108867, 116216, 108086, 122603, 16995, 119100, 19000, 13153, 101544, 34171, 30512, 19361, 127145, 118855, 5486, 32149, 59739, 38144, 107202, 15024, 102189, 13177, 104836, 121240, 109657, 19113, 10110, 112686, 75513, 109657, 19113, 19732, 106613, 40053, 109657, 19113, 7705, 10646, 114556, 120837, 5486, 23226, 106594, 101427, 122, 70141, 29295, 64121, 102204, 33541, 9174, 19732, 31431, 113334, 5486, 106613, 40053, 109657, 19113, 109853, 15682, 5486, 122908, 64178, 125981, 112212, 117409, 16144, 76739, 124643, 104603, 11972, 21990, 106518, 29295, 107850, 109526, 235, 112535, 115079, 27384, 56051, 118733, 5486, 45163, 37507, 109904, 23226, 106594, 29295, 125494, 116216, 61689, 9174, 108152, 118517, 12554, 237, 29295, 37026, 120577, 109606, 16556, 64803, 107202, 102397, 107202, 54926, 104309, 5486, 73361, 29504, 20230, 31640, 78183, 30369, 29504, 10110, 71289, 119208, 119735, 91774, 40265, 28713, 121140, 5486, 101399, 109913, 117903, 121960, 73361, 120389, 29295, 113801, 106307, 50834, 104356, 9554, 107734, 111017, 30512, 28873, 28713, 127145, 1811, 220, 56051, 29295, 76947, 5486, 73361, 45923, 114615, 50021, 75267, 108321, 15682, 103359, 35757, 102677, 121142, 103470, 108149, 33503, 106644, 30369, 33035, 112756, 113115, 120837, 107693, 103195, 102677, 120266, 61633, 29295, 109215, 123253, 9174, 127123, 40474, 110095, 113168, 235, 30926, 127852, 104584, 104309, 30590, 75513, 48864, 112997, 29220, 16144, 45736, 109709, 5486, 102616, 109904, 114734, 127408, 16144, 55038, 103892, 10110, 103359, 35757, 77181, 105525, 102204, 126172, 16995, 23954, 110886, 113477, 107707, 120389, 45736, 45918, 246, 106839, 9458, 37729, 104736, 102404, 78244, 2118, 120389, 45736, 15682, 29504, 105576, 20230, 107188, 30297, 863, 104309, 198, 106613, 111587, 64467, 105888, 103067, 229, 11883, 105156, 82420, 120268, 105525, 105525, 17905, 45736, 5486, 47905, 105107, 67178, 101275, 127268, 123160, 106613, 111587, 64467, 105888, 29295, 117903, 103911, 101067, 30512, 17905, 18904, 30369, 126521, 83687, 16144, 107803, 198, 114950, 109517, 94, 75513, 110226, 46456, 71289, 106613, 40053, 110226, 46456, 16144, 23226, 106594, 5486, 108156, 45736, 71289, 117903, 35330, 60632, 120938, 123716, 198, 127123, 40474, 110095, 105416, 75513, 48864, 112997, 29220, 71289, 114734, 127408, 16144, 74482, 56906, 10110, 103359, 35757, 77181, 107691, 123671, 126172, 16995, 23954, 110886, 113477, 107707, 120389, 51385, 45918, 246, 106839, 9458, 37729, 104736, 102404, 78244, 104309, 198, 106613, 111587, 64467, 105888, 107879, 234, 111587, 64467, 105888, 29295, 117903, 103911, 101067, 30512, 17297, 18904, 30369, 109161, 16995, 83687, 16144, 107803, 128001, 128000, 6109, 116229, 16144, 39880, 122086, 22398, 9039, 30512, 43167, 109315, 20230, 30591, 28713, 76947, 16144, 102669, 105838, 16144, 108729, 15682, 5486, 111234, 52884, 116229, 111363, 106839, 101911, 30512, 11883, 37689, 54926, 100909, 38641, 1811, 108152, 38248, 114, 11972, 29295, 28713, 53900, 17129, 3222, 20230, 116229, 16144, 39880, 45923, 108744, 30512, 76537, 43514, 104526, 104127, 120824, 99397, 54926, 126465, 102677, 104468, 5486, 126843, 102321, 103350, 77181, 125119, 31431, 50928, 107515, 1811, 99849, 123772, 120577, 106116, 116229, 102416, 45918, 246, 106839, 54926, 106839, 101911, 5486, 116974, 29295, 109215, 109947, 124490, 38641, 9174, 106839, 101911, 103195, 116974, 30512, 115079, 126172, 102052, 104405, 126693, 57980, 117201, 109954, 32149, 11571, 112599, 16144, 89753, 17701, 24186, 103306, 15682, 5486, 88852, 16144, 17, 59739, 29295, 36668, 89753, 38641, 9174, 11881, 242, 15682, 5486, 127177, 52884, 77750, 77219, 20230, 90178, 39926, 3222, 30512, 105714, 31431, 47000, 107674, 31431, 102677, 46034, 25333, 29295, 19732, 102204, 100481, 79721, 29295, 115515, 15682, 77693, 108680, 84851, 28194, 101, 109768, 104533, 107404, 15682, 91774, 126929, 107515, 109900, 120577, 46034, 25333, 32977, 44620, 101307, 116974, 30512, 115079, 71289, 15024, 111800, 52084, 110480, 25129, 30512, 109415, 30369, 36761, 19732, 113727, 104984, 127862, 87217, 118322, 111800, 52084, 106613, 68171, 16144, 89753, 17701, 16144, 102669, 103991, 19732, 15017, 231, 105262, 105908, 125545, 9174, 126843, 108048, 108422, 33121, 16144, 89753, 17701, 109853 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 114667, 15682, 85701, 104088, 100934, 114754, 127181, 102677, 100909, 38641, 9174, 17620, 102780, 5486, 82973, 102780, 77181, 17792, 113468, 116700, 29295, 66953, 32131, 66953, 32131, 16556, 5486, 20, 17620, 102780, 114447, 17792, 32977, 16995, 104984, 605, 17620, 102780, 114447, 17792, 32977, 107991, 16144, 119627, 5486, 9080, 102780, 5486, 111299, 102780, 5486, 9953, 102780, 16144, 20251, 44971, 102860, 118372, 104088, 100934, 20251, 44971, 117697, 11972, 15682, 108008, 20230, 127181, 38641, 9174, 45048, 33710, 107610, 25197, 52591, 99959, 113883, 96412, 64121, 125173, 109853, 16144, 113727, 24273, 9174, 33710, 107610, 25197, 52591, 99959, 16073, 77181, 108729, 9554, 102052, 17297, 102936, 126101, 89154, 76428, 104272, 30512, 18655, 30369, 103846, 45736, 112603, 51107, 56051, 39177, 116749, 15682, 102717, 19732, 124592, 96412, 64121, 125173, 30512, 108623, 105262, 100909, 115717, 33541, 59459, 20251, 32131, 37823, 70563, 50667, 105352, 78244, 105262, 100909, 38641, 23954, 45736, 112603, 47000, 60358, 16556, 123141, 30512, 82533, 62004, 104533, 125173, 21388, 29295, 83747, 100604, 9174, 123141, 122434, 39177, 121960, 5486, 123141, 24615, 120, 122502, 39177, 117758, 20251, 108337, 33710, 125173, 105576, 29295, 57326, 112718, 108176, 32149, 15682, 5486, 33671, 29430, 112212, 104662, 109709, 33541, 9174, 123141, 24615, 120, 122502, 39177, 117758, 20251, 108337, 33710, 125173, 105576, 104023, 77693, 103296, 16144, 104662, 111587, 60632, 105576, 10, 22398, 102756, 103830, 125173, 105576, 12, 96412, 64121, 125173, 198, 14711, 123182, 107610, 25197, 52591, 99959, 113883, 109215, 103087, 35330, 198, 77181, 5486, 33710, 107610, 25197, 52591, 99959, 16073, 123410, 113009, 109215, 26854, 103087, 35330, 112987, 126910, 123253, 32149, 9174, 112318, 120389, 14, 35757, 10110, 62378, 14, 28287, 56, 7705, 16556, 18655, 73686, 56051, 19732, 103801, 109954, 124845, 112160, 95221, 20230, 35757, 45736, 101983, 114598, 123726, 108618, 104028, 104466, 5486, 103188, 86436, 18, 116358, 112603, 91875, 50834, 103195, 13177, 914, 35757, 10646, 120264, 16144, 35757, 45736, 72661, 113420, 105262, 110322, 26955, 254, 35330, 30512, 107253, 104874, 39926, 64121, 17129, 109954, 9174, 914, 35757, 16144, 35757, 45736, 105352, 113420, 105262, 104466, 54926, 107803, 5486, 33710, 107610, 25197, 52591, 99959, 113883, 116700, 112603, 111044, 19732, 109215, 103087, 35330, 16144, 116690, 15682, 88852, 16144, 121640, 38641, 10110, 18655, 73686, 82900, 15682, 16, 11, 931, 33035, 112756, 123505, 116700, 112603, 111044, 508, 103842, 255, 5232, 126075, 31634, 103087, 35330, 15682, 17, 11, 18070, 11, 931, 35757, 198, 116700, 112603, 111044, 1490, 103842, 255, 5232, 126075, 31634, 103087, 35330, 15682, 19447, 11, 931, 35757, 198, 112318, 120389, 35757, 16144, 107803, 103188, 86436, 16144, 32335, 51385, 112603, 15682, 4370, 13, 4161, 35757, 5486, 111575, 112603, 15682, 7699, 13, 4643, 35757, 26854, 105879, 198, 112599, 16144, 4044, 35757, 30591, 115926, 15682, 43514, 107106, 67645, 16325, 56965, 30591, 28713, 112586, 61689, 59459, 679, 22, 8107, 23954, 14711, 108791, 70563, 84477, 25197, 52591, 99959, 16073, 16556, 104284, 59739, 124122, 61633, 28542, 198, 9458, 115442, 30369, 32149, 17297, 29295, 30369, 116421, 112169, 34171, 104088, 110993, 107436, 89154, 76428, 104272, 30512, 18655, 30369, 104468, 114940, 33857, 18655, 73686, 19732, 112361, 1811, 104284, 125655, 125396, 29295, 126574, 110229, 16556, 27704, 109315, 198, 9458, 60632, 105184, 30512, 22957, 17129, 62004, 120650, 76947, 124089, 105879, 108167, 22957, 109416, 21105, 234, 100604, 104468, 39850, 37823, 67075, 198, 9458, 42634, 122407, 67075, 15682, 105994, 16556, 116700, 54926, 32149, 5486, 116414, 116421, 107507, 101198, 94550, 16556, 123141, 30512, 82533, 109315, 116421, 112997, 29220, 18904, 111098, 15682, 59614, 116156, 10110, 107691, 16995, 89154, 76428, 104272, 105110, 115442, 31431, 50834, 100472, 19732, 122225, 56051, 39177, 23954, 9458, 115681, 42634, 122407, 67075, 101983, 110104, 104466, 125173, 21388, 102404, 21990, 121409, 110322, 26955, 254, 35330, 10110, 103188, 86436, 16144, 32335, 51385, 112603, 103296, 16144, 106382, 11883, 16556, 103087, 106518, 7705, 30512, 17701, 106824, 33334, 47884, 198, 14711, 109359, 112756, 48154, 110792, 66378, 17599, 112, 198, 35757, 45736, 61304, 108565, 5232, 6028, 35757, 55038, 198, 35757, 51385, 61304, 108565, 5232, 6550, 35757, 55038, 198, 121374, 104364, 5232, 33334, 57980, 27929, 1958, 35757, 198, 33710, 107610, 25197, 52591, 99959, 16073, 110284, 198, 107691, 16995, 220, 6028, 56040, 1954, 35757, 198, 105525, 31431, 220, 1490, 56040, 6550, 35757, 198, 1041, 15, 33035, 112756, 5486, 1041, 79, 3153, 52118, 1041, 15, 35757, 198, 125173, 125174, 2614, 89154, 76428, 104272, 198, 33, 1490, 52118, 101067, 23187, 54926, 104721, 91875, 109518, 966, 35757, 7, 1041, 52118, 2031, 121782, 110322, 26955, 254, 35330, 23024, 11, 931, 35757, 18028, 1041, 15, 33035, 112756, 7, 16, 103664, 23187, 4728, 35757, 340, 90962, 125913, 32131, 104612, 120389, 10110, 112318, 120389, 120732, 66378, 17599, 112, 107118, 198, 90962, 125913, 32131, 104612, 15682, 109673, 107049, 109, 102465, 71289, 102465, 163, 65620, 104309, 119515, 105469, 26854, 103087, 39084, 30512, 110794, 5486, 37087, 115201, 20834, 16144, 20, 111017, 71689, 30512, 107049, 109, 53953, 103087, 39084, 29295, 108928, 62004, 100934, 100909, 55031, 5486, 90962, 125913, 32131, 104612, 120389, 10110, 88852, 5486, 112318, 120389, 119735, 103087, 39084, 29504, 33035, 112756, 102677, 110366, 28190, 114792, 76947, 61689, 9174, 53900, 5486, 90962, 125913, 32131, 104612, 15682, 59795, 30512, 112366, 16144, 80631, 123, 87844, 120007, 103306, 108086, 5486, 115201, 20834, 37087, 33014, 16144, 966, 113127, 71689, 29295, 59795, 70141, 76622, 38641, 109807, 103846, 5486, 112318, 120389, 15682, 53229, 104754, 9458, 35330, 9458, 109673, 107049, 109, 102465, 123160, 47043, 121374, 71289, 5486, 59795, 16144, 31634, 63212, 16144, 117375, 114475, 76622, 126172, 16995, 102677, 66378, 17599, 112, 115991, 33541, 9174, 59795, 16144, 106613, 111587, 64467, 105888, 29295, 103424, 118145, 112318, 120389, 20230, 57326, 112718, 5486, 86354, 95221, 115581, 235, 33208, 29295, 20379, 84150, 228, 84389, 104984, 112318, 120389, 125030, 76947, 68759, 25197, 96452, 22398, 108321, 121711, 33541, 107751, 102052, 5486, 49, 7209, 16144, 76171, 123646, 30832, 105888, 16144, 103359, 47523, 117282, 34, 1932, 71289, 6620, 47, 5486, 25132, 229, 11883, 105156, 82420, 120268, 105525, 105525, 17905, 45736, 104309, 15682, 110408, 107290, 33334, 105898, 16995, 64467, 105888, 38641, 1811, 21601, 107290, 5486, 112318, 120389, 37026, 33014, 29295, 59795, 16144, 106613, 111587, 64467, 105888, 20230, 95543, 106608, 54926, 103846, 39880, 125581, 9458, 90962, 64810, 39880, 114676, 82973, 20230, 91875, 50834, 126172, 16995, 102677, 66378, 17599, 112, 115991, 33541, 9174, 53900, 5486, 112318, 120389, 15682, 45736, 35330, 60632, 33035, 112756, 19732, 84389, 5486, 1049, 23, 8107, 18, 9953, 102052, 113495, 35330, 60632, 29295, 22, 13, 914, 113127, 103296, 113801, 109415, 102204, 79721, 29295, 5486, 679, 21, 8107, 20, 9953, 112599, 15682, 16, 13, 2075, 113127, 103296, 35330, 60632, 29295, 17297, 102936, 121256, 9174, 16, 13, 110305, 22398, 35757, 33035, 112756, 99695, 39880, 26854, 105879, 103087, 35330, 40452, 9458, 122282, 29295, 23039, 114774, 17663, 16995, 198, 17, 13, 103188, 86436, 508, 8107, 56965, 16144, 112603, 91875, 50834, 29295, 125261, 9554, 51385, 23187, 103792, 198, 18, 13, 103087, 35330, 126120, 96455, 29295, 126574, 198, 36668, 26854, 17905, 123716, 31634, 63212, 198, 127123, 40474, 110095, 105416, 75513, 48864, 112997, 29220, 71289, 114734, 127408, 16144, 74482, 56906, 198, 114734, 113495, 104614, 106075, 113801, 126233, 62004, 10110, 114181, 108867, 16144, 45736, 109709, 23954, 106613, 111587, 64467, 105888, 116808, 103, 55139, 16144, 25132, 229, 11883, 105156, 82420, 120268, 105525, 105525, 17905, 45736, 5486, 34, 1932, 123160, 106613, 111587, 64467, 105888, 29295, 117903, 103911, 101067, 30512, 17905, 18904, 30369, 126521, 83687, 16144, 107803, 71289, 59795, 16144, 106613, 111587, 64467, 105888, 29295, 126521, 107803, 198, 114950, 43949, 110, 106518, 53953, 71289, 109673, 107049, 109, 102465, 123160, 47043, 121374, 120938, 123716, 198, 36668, 26854, 17297, 102936, 31634, 63212, 198, 127123, 40474, 110095, 105416, 75513, 48864, 112997, 29220, 71289, 114734, 127408, 16144, 45736, 109709, 198, 114734, 113495, 104614, 106075, 100783, 102, 34208, 10110, 114181, 108867, 16144, 45736, 109709, 23954, 106613, 111587, 64467, 105888, 116808, 103, 55139, 71289, 59795, 16144, 106613, 111587, 64467, 105888, 29295, 117903, 103911, 101067, 30512, 17297, 18904, 30369, 109161, 16995, 83687, 16144, 107803, 198, 114950, 43949, 110, 106518, 53953, 71289, 109673, 107049, 109, 102465, 123160, 47043, 121374, 16144, 17297, 102936, 121270, 108115, 110022, 114940, 104309, 31634, 107707, 112318, 120389, 45736, 76622, 25827, 44416, 102404, 78244, 104309, 198, 73361, 120389, 198, 103188, 86436, 16144, 112603, 91875, 50834, 111044, 220, 2075, 56040, 7994, 35757, 198, 107691, 16995, 220, 2075, 56040, 7322, 35757, 198, 105525, 31431, 220, 5120, 56040, 8878, 35757, 198, 1041, 15, 33035, 112756, 5486, 914, 79, 3153, 52118, 5154, 35757, 5486, 1135, 79, 3153, 52118, 2636, 35757, 198, 914, 79, 3153, 52118, 101067, 23187, 54926, 104721, 91875, 109518, 868, 35757, 7, 5120, 52118, 2721, 121782, 110322, 26955, 254, 35330, 25021, 11, 3965, 35757, 198, 1135, 79, 3153, 52118, 101067, 23187, 54926, 104721, 91875, 109518, 508, 35757, 7, 7322, 52118, 2721, 121782, 110322, 26955, 254, 35330, 17608, 11, 7467, 35757, 18028, 1049, 15, 33035, 112756, 7, 16, 103664, 23187, 16, 11, 931, 35757, 340, 914, 20230, 1041, 15, 126036, 1135, 20230, 1049, 15, 120332, 29295, 60632, 105576, 96455, 15682, 45736, 47884, 109020, 101427, 122, 70141, 198, 73361, 45923, 114615, 66378, 17599, 112, 198, 18655, 73686, 33857, 29295, 102616, 112366, 16144, 75146, 100818, 116, 33035, 112756, 103195, 73361, 120389, 15682, 115132, 114740, 117409, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 5486, 80631, 123, 87844, 71289, 127123, 109904, 114734, 18655, 73686, 16144, 104662, 111587, 105352, 43240, 47884, 38129, 116216, 61689, 9174, 73361, 29504, 15682, 37271, 74482, 32977, 105268, 16995, 113073, 16144, 115079, 21601, 29295, 103911, 108867, 116216, 108086, 122603, 16995, 119100, 19000, 13153, 101544, 34171, 30512, 19361, 127145, 118855, 5486, 32149, 59739, 38144, 107202, 15024, 102189, 13177, 104836, 121240, 109657, 19113, 10110, 112686, 75513, 109657, 19113, 19732, 106613, 40053, 109657, 19113, 7705, 10646, 114556, 120837, 5486, 23226, 106594, 101427, 122, 70141, 29295, 64121, 102204, 33541, 9174, 19732, 31431, 113334, 5486, 106613, 40053, 109657, 19113, 109853, 15682, 5486, 122908, 64178, 125981, 112212, 117409, 16144, 76739, 124643, 104603, 11972, 21990, 106518, 29295, 107850, 109526, 235, 112535, 115079, 27384, 56051, 118733, 5486, 45163, 37507, 109904, 23226, 106594, 29295, 125494, 116216, 61689, 9174, 108152, 118517, 12554, 237, 29295, 37026, 120577, 109606, 16556, 64803, 107202, 102397, 107202, 54926, 104309, 5486, 73361, 29504, 20230, 31640, 78183, 30369, 29504, 10110, 71289, 119208, 119735, 91774, 40265, 28713, 121140, 5486, 101399, 109913, 117903, 121960, 73361, 120389, 29295, 113801, 106307, 50834, 104356, 9554, 107734, 111017, 30512, 28873, 28713, 127145, 1811, 220, 56051, 29295, 76947, 5486, 73361, 45923, 114615, 50021, 75267, 108321, 15682, 103359, 35757, 102677, 121142, 103470, 108149, 33503, 106644, 30369, 33035, 112756, 113115, 120837, 107693, 103195, 102677, 120266, 61633, 29295, 109215, 123253, 9174, 127123, 40474, 110095, 113168, 235, 30926, 127852, 104584, 104309, 30590, 75513, 48864, 112997, 29220, 16144, 45736, 109709, 5486, 102616, 109904, 114734, 127408, 16144, 55038, 103892, 10110, 103359, 35757, 77181, 105525, 102204, 126172, 16995, 23954, 110886, 113477, 107707, 120389, 45736, 45918, 246, 106839, 9458, 37729, 104736, 102404, 78244, 2118, 120389, 45736, 15682, 29504, 105576, 20230, 107188, 30297, 863, 104309, 198, 106613, 111587, 64467, 105888, 103067, 229, 11883, 105156, 82420, 120268, 105525, 105525, 17905, 45736, 5486, 47905, 105107, 67178, 101275, 127268, 123160, 106613, 111587, 64467, 105888, 29295, 117903, 103911, 101067, 30512, 17905, 18904, 30369, 126521, 83687, 16144, 107803, 198, 114950, 109517, 94, 75513, 110226, 46456, 71289, 106613, 40053, 110226, 46456, 16144, 23226, 106594, 5486, 108156, 45736, 71289, 117903, 35330, 60632, 120938, 123716, 198, 127123, 40474, 110095, 105416, 75513, 48864, 112997, 29220, 71289, 114734, 127408, 16144, 74482, 56906, 10110, 103359, 35757, 77181, 107691, 123671, 126172, 16995, 23954, 110886, 113477, 107707, 120389, 51385, 45918, 246, 106839, 9458, 37729, 104736, 102404, 78244, 104309, 198, 106613, 111587, 64467, 105888, 107879, 234, 111587, 64467, 105888, 29295, 117903, 103911, 101067, 30512, 17297, 18904, 30369, 109161, 16995, 83687, 16144, 107803, 128001, 128000, 6109, 116229, 16144, 39880, 122086, 22398, 9039, 30512, 43167, 109315, 20230, 30591, 28713, 76947, 16144, 102669, 105838, 16144, 108729, 15682, 5486, 111234, 52884, 116229, 111363, 106839, 101911, 30512, 11883, 37689, 54926, 100909, 38641, 1811, 108152, 38248, 114, 11972, 29295, 28713, 53900, 17129, 3222, 20230, 116229, 16144, 39880, 45923, 108744, 30512, 76537, 43514, 104526, 104127, 120824, 99397, 54926, 126465, 102677, 104468, 5486, 126843, 102321, 103350, 77181, 125119, 31431, 50928, 107515, 1811, 99849, 123772, 120577, 106116, 116229, 102416, 45918, 246, 106839, 54926, 106839, 101911, 5486, 116974, 29295, 109215, 109947, 124490, 38641, 9174, 106839, 101911, 103195, 116974, 30512, 115079, 126172, 102052, 104405, 126693, 57980, 117201, 109954, 32149, 11571, 112599, 16144, 89753, 17701, 24186, 103306, 15682, 5486, 88852, 16144, 17, 59739, 29295, 36668, 89753, 38641, 9174, 11881, 242, 15682, 5486, 127177, 52884, 77750, 77219, 20230, 90178, 39926, 3222, 30512, 105714, 31431, 47000, 107674, 31431, 102677, 46034, 25333, 29295, 19732, 102204, 100481, 79721, 29295, 115515, 15682, 77693, 108680, 84851, 28194, 101, 109768, 104533, 107404, 15682, 91774, 126929, 107515, 109900, 120577, 46034, 25333, 32977, 44620, 101307, 116974, 30512, 115079, 71289, 15024, 111800, 52084, 110480, 25129, 30512, 109415, 30369, 36761, 19732, 113727, 104984, 127862, 87217, 118322, 111800, 52084, 106613, 68171, 16144, 89753, 17701, 16144, 102669, 103991, 19732, 15017, 231, 105262, 105908, 125545, 9174, 126843, 108048, 108422, 33121, 16144, 89753, 17701, 109853 ]
[ 113727, 100481, 50834, 33541, 9174, 118075, 16144, 50, 2507, 106613, 68171, 16144, 89753, 17701, 15682, 5486, 25904, 71289, 21617, 20230, 77219, 30512, 126362, 54926, 118733, 106116, 80172, 83932, 104088, 28713, 108152, 38248, 114, 11972, 20230, 39880, 122086, 22398, 120837, 33503, 61689, 1811, 66378, 17599, 112, 103306, 15682, 111476, 12, 63091, 17620, 29295, 80172, 83932, 56051, 102944, 29295, 122908, 39880, 71289, 37823, 103223, 25197, 84477, 16556, 121771, 115867, 17792, 20230, 58655, 53283, 108608, 198, 12, 114163, 16144, 108152, 38248, 114, 11972, 29295, 77219, 16144, 116974, 30512, 127574, 76947, 58655, 53283, 39926, 124089, 126465, 32977, 198, 12, 106030, 78349, 39880, 71289, 37823, 103223, 25197, 84477, 29295, 105047, 115079, 112990, 5486, 66953, 78525, 76947, 106649, 82973, 20230, 108947, 102404, 109904, 39880, 122086, 22398, 9039, 32977, 198, 12, 109228, 78525, 30369, 15682, 105184, 96455, 109904, 31634, 72238, 29295, 104195, 16995, 198, 105994, 29295, 23039, 100472, 80172, 83932, 15682, 127177, 50, 2507, 108152, 38248, 114, 11972, 29295, 37823, 103223, 25197, 84477, 71289, 122908, 39880, 16556, 26955, 94, 107471, 120837, 33503, 30297, 105908, 88367, 38641, 1811, 115143, 102052, 5486, 6109, 116229, 20230, 50, 2507, 122908, 39880, 11883, 16144, 103672, 127065, 30512, 11883, 37689, 39926, 33334, 47884, 118733, 108152, 38248, 114, 11972, 29295, 26955, 94, 107471, 120837, 33503, 30297, 115789, 88367, 38641, 1811, 25904, 16144, 39880, 71493, 65299, 52414, 19732, 89046, 120988, 39926, 33334, 76622, 81219, 5486, 67645, 103171, 108152, 38248, 114, 11972, 20230, 77219, 29295, 122908, 39880, 103646, 32149, 103296, 17620, 107277, 33541, 1811, 21124, 16144, 126513, 5486, 121298, 119318, 116310, 16144, 116700, 16556, 5486, 104712, 101832, 32977, 106624, 15682, 122908, 39880, 103646, 9039, 116771, 78183, 107277, 33541, 9174, 119560, 16144, 111800, 52084, 111848, 89753, 17701, 15682, 5486, 111800, 52084, 76739, 123581, 16073, 32335, 109431, 33208, 5486, 17663, 26854, 78183, 43514, 63879, 117824, 30297, 106592, 115552, 78434, 1811, 101307, 116974, 9039, 30512, 115079, 126172, 113009, 5486, 50021, 106483, 116974, 30512, 115079, 71289, 56051, 31431, 106116, 102669, 103991, 15682, 43240, 104091, 43240, 103826, 38641, 109807, 103846, 5486, 43240, 119064, 116537, 104405, 126693, 111800, 52084, 110480, 25129, 30512, 17905, 25129, 117657, 124233, 124403, 19732, 117952, 33121, 33541, 9174, 80673, 5486, 109134, 125231, 109335, 57207, 108969, 33710, 38641, 9174, 12, 113545, 108941, 30512, 58254, 252, 30369, 198, 12, 113545, 108941, 114556, 89046, 56051, 5486, 103672, 37823, 72369, 103202, 9458, 105284, 30512, 77219, 30512, 102181, 47884, 198, 12, 105120, 236, 9080, 26854, 109713, 105335, 52414, 20230, 47260, 108304, 119495, 30512, 11883, 37689, 54926, 198, 57933, 108941, 30512, 58254, 252, 30369, 109335, 27384, 102769, 38641, 127211, 114435, 16144, 116229, 71289, 5486, 118331, 61398, 116229, 123160, 39850, 125380, 105110, 81219, 5486, 17663, 16556, 20230, 105184, 107608, 28713, 30369, 47260, 108304, 119495, 33857, 30512, 19361, 103792, 103846, 5486, 66953, 32131, 76739, 103906, 11972, 20230, 105469, 102189, 106901, 16073, 114615, 77219, 72661, 17905, 25129, 20230, 52563, 84389, 33541, 119520, 5486, 110219, 16144, 111234, 52884, 116229, 77181, 108048, 108680, 103296, 37823, 102741, 61398, 30512, 111017, 47884, 109335, 103082, 107515, 109900, 126036, 5486, 14783, 29295, 20379, 103792, 102472, 114265, 118372, 20230, 117989, 76947, 5486, 20713, 118821, 57933, 108941, 9458, 106901, 16073, 33710, 20230, 58254, 252, 100472, 116229, 126694, 30369, 24273, 29295, 111800, 52084, 76739, 123581, 113883, 107624, 95001, 29295, 126574, 38641, 1811, 113702, 5486, 111800, 52084, 106613, 68171, 16144, 89753, 17701, 32977, 115079, 58942, 33541, 9174, 16995, 75694, 57933, 108941, 30512, 58254, 252, 100472, 33503, 5486, 57933, 108941, 114556, 89046, 56051, 77219, 9458, 47260, 108304, 119495, 30512, 11883, 37689, 78434, 1811, 110924, 16556, 32018, 62004, 110071, 104468, 5486, 111419, 33857, 16144, 83125, 19732, 5486, 83125, 16144, 105284, 38641, 1811, 33857, 122416, 125030, 33503, 123671, 5486, 105284, 16144, 103167, 16995, 83125, 30512, 33857, 106518, 39926, 114732, 19732, 5486, 14783, 16144, 107624, 95001, 29295, 17297, 29295, 31431, 33541, 1811, 66378, 20230, 123011, 62004, 116229, 30512, 102404, 79982, 114267, 109606, 16556, 5486, 111800, 52084, 107908, 115054, 78525, 91062, 16144, 122489, 15682, 114652, 72718, 50834, 30369, 101200, 115717, 79721, 1811, 43240, 119064, 6109, 116229, 29295, 106839, 17701, 103792, 14783, 39880, 96452, 37823, 103906, 29220, 117718, 119526, 30512, 76706, 11883, 126693, 5486, 73597, 252, 19000, 82973, 123160, 64467, 105888, 16556, 108152, 38248, 114, 11972, 107624, 95001, 29295, 78183, 107277, 102131, 38641, 109807, 103846, 5486, 47260, 108304, 119495, 16144, 33857, 32977, 117952, 33121, 33541, 29295, 5486, 21105, 96, 107277, 108152, 38248, 114, 11972, 20230, 107734, 20230, 80195, 59739, 108134, 30512, 109466, 31431, 104526, 104004, 105908, 27384, 102769, 38641, 9174, 80539, 5486, 121410, 9080, 102083, 100472, 23187, 23538, 109904, 107507, 101198, 94550, 16556, 47260, 108304, 119495, 30512, 55487, 22023, 112990, 57980, 16995, 38641, 9174, 111800, 52084, 111848, 89753, 17701, 19732, 50, 2507, 111848, 89753, 17701, 15682, 67645, 112384, 32977, 27384, 102769, 38641, 1811, 39135, 104680, 26854, 108167, 103214, 64121, 41007, 115991, 33541, 29295, 5486, 30590, 45893, 20230, 120321, 106307, 112535, 71289, 107462, 47884, 118733, 5486, 67645, 112384, 32977, 115079, 105262, 105879, 123334, 110104, 16556, 107991, 105755, 15682, 5486, 83747, 21105, 248, 59739, 72661, 108167, 103214, 104127, 16995, 105898, 16995, 1811, 102131, 91763, 30297, 110589, 51330, 119400, 38641, 1811, 128001, 128000, 14711, 106982, 25197, 113714, 105026, 57183, 104603, 72369, 39880, 45631, 68759, 52591, 114792, 59739, 122924, 17792, 10646, 220, 9674, 15, 8107, 119400, 198, 37271, 18904, 16144, 52884, 77750, 77181, 127359, 25197, 113714, 16144, 106384, 104603, 72369, 39880, 45631, 68759, 52591, 114792, 59739, 122924, 17792, 118587, 198, 126362, 103801, 109954, 9174, 117039, 20713, 7705, 68759, 25197, 113714, 105026, 57183, 104603, 72369, 39880, 13177, 68759, 52591, 114792, 59739, 122924, 17792, 10646, 220, 9674, 15, 8107, 119400, 198, 117039, 25963, 7705, 110927, 17905, 108519, 28190, 105228, 33014, 66201, 198, 68759, 25197, 113714, 16144, 106384, 104603, 72369, 39880, 107809, 77181, 5486, 125261, 9554, 89154, 70563, 72369, 109554, 15682, 106942, 106046, 16995, 198, 33541, 1811, 113164, 103906, 105048, 117903, 72661, 114652, 91774, 126929, 33541, 15024, 5486, 112599, 72661, 114652, 19967, 102204, 198, 30369, 126909, 106942, 38641, 9174, 117039, 34617, 7705, 110927, 17905, 198, 13177, 68759, 52591, 66383, 15682, 111482, 29295, 69978, 103836, 5486, 105811, 105871, 71289, 111555, 102831, 16556, 19967, 109115, 103181, 117759, 77913, 16556, 5486, 20713, 66224, 198, 21909, 972, 126241, 20230, 112673, 118517, 26269, 80805, 16556, 27384, 89753, 23039, 121256, 1811, 110176, 79982, 20230, 123222, 29295, 87447, 102532, 108086, 111476, 110176, 112909, 17701, 106824, 118937, 30512, 108167, 79721, 119520, 36896, 68759, 52591, 10646, 15682, 777, 126241, 101983, 104533, 89753, 23039, 198, 33334, 120700, 115717, 5486, 104774, 26269, 104272, 103306, 105047, 95399, 20230, 13079, 108, 56906, 109768, 50834, 79721, 9174, 117039, 46702, 7705, 110927, 17905, 198, 22656, 19967, 16144, 118028, 76428, 115307, 15682, 11242, 16, 116033, 115132, 57207, 76739, 10110, 122908, 11972, 100560, 237, 78983, 16144, 108975, 48634, 111848, 23954, 113468, 68408, 126590, 103646, 123604, 38641, 1811, 106496, 120998, 71289, 111828, 71869, 16144, 104654, 30512, 102494, 78459, 112694, 20230, 198, 56051, 106942, 119627, 127359, 25197, 113714, 16144, 106384, 104603, 72369, 39880, 15682, 58426, 39177, 104680, 16144, 104774, 26269, 104272, 71289, 89753, 198, 23039, 30512, 114652, 21405, 127145, 1811, 32977, 43514, 85791, 25827, 110371, 39880, 57207, 76739, 16144, 106942, 32977, 106116, 27452, 48915, 77181, 198, 124897, 9174, 117039, 44597, 7705, 110927, 17905, 116381, 42634, 106240, 122060, 198, 122615, 16144, 105811, 30512, 64063, 101832, 38144, 103892, 17597, 122, 119707, 104369, 31431, 5486, 103892, 30512, 110993, 79982, 20230, 119448, 47884, 91774, 122101, 123017, 51330, 198, 40265, 125344, 104774, 26269, 104272, 38641, 113637, 122924, 116537, 65917, 112909, 68759, 52591, 55031, 20834, 39926, 46034, 112810, 30512, 198, 98499, 104127, 61689, 1811, 117384, 32977, 39850, 64178, 126758, 113146, 5486, 46034, 112810, 15682, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 198, 16144, 46034, 38574, 103306, 115515, 77181, 101067, 66201, 118765, 108680, 16144, 107693, 34171, 114792, 107462, 79721, 9174, 117039, 60596, 7705, 110927, 17905, 109006, 112810, 16144, 122060, 198, 51330, 46034, 112810, 16144, 44915, 29295, 67645, 103171, 102944, 115287, 32149, 53283, 30369, 17663, 103854, 32977, 124897, 29295, 111476, 68759, 25197, 113714, 16144, 106384, 104603, 72369, 39880, 77181, 5486, 108056, 19732, 46034, 112810, 20230, 88435, 29295, 102181, 32149, 106824, 61689, 9174, 111482, 16144, 112741, 55031, 58426, 44915, 20230, 39135, 104680, 106046, 16995, 30512, 46065, 111, 127397, 64121, 30369, 123017, 127359, 25197, 113714, 198, 106384, 104603, 72369, 39880, 16144, 105465, 21105, 123, 24273, 106046, 61689, 9174, 117039, 66224, 7705, 106982, 105048, 198, 68759, 105048, 15682, 103672, 127065, 119063, 5486, 123604, 96452, 127058, 15682, 35, 2287, 38641, 1811, 112599, 33655, 78183, 115032, 198, 17039, 25446, 87217, 77181, 24865, 1987, 115717, 33541, 9174, 117039, 66115, 7705, 116561, 117429, 30512, 61304, 108565, 56051, 103842, 227, 41401, 55723, 43444, 124055, 119752, 45829, 105755, 23954, 117039, 66115, 119735, 68759, 33710, 47260, 37823, 118928, 113146, 16144, 68759, 25197, 113714, 61337, 16144, 61304, 108565, 119627, 5486, 104398, 34048, 198, 103296, 108008, 20230, 112427, 103350, 20230, 19967, 125398, 112973, 114652, 17620, 107277, 33541, 9174, 777, 126241, 16144, 106384, 104603, 72369, 39880, 102052, 103721, 232, 104398, 26854, 44971, 61398, 104309, 32977, 11883, 16995, 124195, 108086, 111476, 51330, 113146, 16144, 106384, 104603, 72369, 39880, 15682, 68759, 25197, 113714, 16144, 101544, 16995, 114172, 102512, 107809, 72661, 5486, 111575, 16144, 198, 25446, 105284, 19732, 107624, 116216, 61689, 9174, 22656, 19967, 15682, 20, 9953, 1627, 9080, 10110, 35330, 7705, 21909, 1591, 9080, 10110, 9080, 120732, 113164, 103906, 105048, 111661, 39880, 258, 17039, 109249, 20230, 114421, 198, 105260, 78434, 105879, 5486, 48154, 109834, 103868, 16144, 101182, 24273, 15682, 120953, 108422, 38093, 75267, 126250, 48154, 111182, 72315, 9174, 113497, 30926, 16144, 116718, 15682, 88852, 16556, 48154, 114140, 72315, 9174, 103927, 103202, 122481, 15682, 117896, 38641, 720, 14711, 123182, 120389, 52591, 9458, 108768, 109482, 78349, 114615, 103842, 227, 41401, 55723, 198, 68759, 25197, 113714, 23530, 104346, 86354, 16144, 102491, 16995, 103842, 227, 41401, 55723, 71289, 108152, 38248, 110, 52414, 113146, 16144, 117813, 103991, 46729, 16144, 103842, 227, 41401, 198, 55723, 29295, 27384, 53901, 112495, 105879, 5486, 83747, 21105, 248, 59739, 119627, 47260, 44971, 122131, 127145, 9174, 66378, 20230, 68759, 25197, 113714, 16144, 121995, 122382, 104599, 72661, 105693, 117813, 103991, 46729, 123182, 120389, 52591, 9458, 108768, 109482, 78349, 33710, 198, 16144, 106942, 15682, 66378, 20230, 127879, 76947, 61689, 9174, 45923, 123082, 16144, 102491, 22656, 102571, 121944, 108895, 56051, 106942, 30512, 121247, 76947, 102532, 5486, 108064, 32977, 103424, 25446, 30512, 198, 126362, 39926, 120700, 101732, 16144, 119627, 122603, 106036, 95, 30512, 114667, 20230, 72516, 30512, 119962, 100204, 38144, 103801, 16995, 17129, 198, 56051, 1811, 33710, 120389, 52591, 9458, 108768, 109482, 78349, 114615, 103842, 227, 41401, 55723, 15682, 102971, 106391, 117902, 102800, 105879, 115515, 74482, 104405, 198, 119607, 32149, 19732, 81742, 100204, 127280, 9174, 68759, 25197, 113714, 16144, 117018, 30512, 30512, 22957, 57980, 103470, 103926, 56051, 33710, 120389, 52591, 9458, 108768, 109482, 78349, 114615, 103842, 227, 41401, 55723, 198, 106942, 15682, 51330, 52884, 77750, 72661, 99849, 18904, 32149, 126362, 121256, 29295, 110371, 102491, 22656, 102571, 98369, 32149, 198, 33503, 17701, 46034, 56051, 114626, 108176, 32149, 121061, 106942, 126130, 30832, 112649, 76622, 33541, 9174, 117039, 20713, 7705, 106982, 25197, 113714, 16144, 104346, 86354, 124934, 227, 41401, 55723, 220, 5926, 15, 8107, 119400, 198, 102433, 72661, 100783, 239, 29295, 58666, 102800, 105343, 107792, 119627, 5486, 102494, 101335, 110305, 103202, 106272, 100783, 239, 30512, 112391, 107726, 198, 30369, 103842, 227, 41401, 55723, 106046, 61689, 1811, 102159, 105390, 102052, 5486, 106391, 111629, 71289, 60358, 86354, 110596, 86354, 16144, 110240, 62543, 41007, 20230, 111476, 108285, 30358, 71289, 49409, 7741, 236, 16144, 111179, 101083, 121995, 16144, 117375, 30512, 112391, 30369, 16144, 119627, 5486, 112073, 103826, 112987, 32149, 29295, 16556, 198, 109954, 95532, 117039, 25963, 7705, 110927, 17905, 112675, 17620, 126292, 52884, 44971, 107461, 103223, 112193, 41758, 60174, 198, 117039, 34617, 7705, 110927, 17905, 112675, 17620, 107748, 33710, 102832, 101701, 198, 117039, 46702, 7705, 110927, 17905, 112675, 17620, 101678, 111398, 198, 117039, 44597, 7705, 220, 106942, 104482, 13372, 106982, 25197, 113714, 23530, 16144, 27280, 118, 103192, 198, 117039, 60596, 7705, 106773, 76171, 123182, 120389, 52591, 9458, 108768, 109482, 78349, 33710, 198, 117039, 66224, 7705, 110927, 39880, 120397, 117758, 112599, 16144, 104346, 86354, 198, 117039, 66115, 7705, 106982, 25197, 113714, 23530, 108834, 103, 35894, 117039, 198, 37271, 18904, 32977, 5486, 108768, 109482, 78349, 33710, 29295, 110240, 102334, 104346, 86354, 29295, 5486, 116414, 117758, 27280, 118, 103192, 103195, 32149, 30512, 84851, 23187, 198, 121256, 127211, 112495, 107461, 52414, 15682, 33334, 60174, 16144, 70141, 50834, 19732, 101701, 16144, 89753, 33121, 16144, 39880, 120397, 38641, 9174, 112599, 15682, 103842, 227, 41401, 55723, 102052, 100604, 17039, 102800, 106554, 29295, 107145, 126469, 61689, 29295, 110371, 106554, 16144, 49409, 110366, 198, 16144, 103232, 111418, 38574, 118801, 120938, 117758, 104346, 86354, 19732, 84851, 23187, 121256, 9174, 109657, 126516, 29295, 108768, 109482, 78349, 114615, 91774, 28713, 116245, 5486, 103271, 126516, 119279, 60174, 38641, 9174, 58666, 102800, 104346, 86354, 38641, 9174, 14711, 106982, 25197, 113714, 16144, 102185, 121995, 122382, 6704, 100, 246, 29430, 109904, 102185, 115752, 105586, 55723, 25333, 16144 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 113727, 100481, 50834, 33541, 9174, 118075, 16144, 50, 2507, 106613, 68171, 16144, 89753, 17701, 15682, 5486, 25904, 71289, 21617, 20230, 77219, 30512, 126362, 54926, 118733, 106116, 80172, 83932, 104088, 28713, 108152, 38248, 114, 11972, 20230, 39880, 122086, 22398, 120837, 33503, 61689, 1811, 66378, 17599, 112, 103306, 15682, 111476, 12, 63091, 17620, 29295, 80172, 83932, 56051, 102944, 29295, 122908, 39880, 71289, 37823, 103223, 25197, 84477, 16556, 121771, 115867, 17792, 20230, 58655, 53283, 108608, 198, 12, 114163, 16144, 108152, 38248, 114, 11972, 29295, 77219, 16144, 116974, 30512, 127574, 76947, 58655, 53283, 39926, 124089, 126465, 32977, 198, 12, 106030, 78349, 39880, 71289, 37823, 103223, 25197, 84477, 29295, 105047, 115079, 112990, 5486, 66953, 78525, 76947, 106649, 82973, 20230, 108947, 102404, 109904, 39880, 122086, 22398, 9039, 32977, 198, 12, 109228, 78525, 30369, 15682, 105184, 96455, 109904, 31634, 72238, 29295, 104195, 16995, 198, 105994, 29295, 23039, 100472, 80172, 83932, 15682, 127177, 50, 2507, 108152, 38248, 114, 11972, 29295, 37823, 103223, 25197, 84477, 71289, 122908, 39880, 16556, 26955, 94, 107471, 120837, 33503, 30297, 105908, 88367, 38641, 1811, 115143, 102052, 5486, 6109, 116229, 20230, 50, 2507, 122908, 39880, 11883, 16144, 103672, 127065, 30512, 11883, 37689, 39926, 33334, 47884, 118733, 108152, 38248, 114, 11972, 29295, 26955, 94, 107471, 120837, 33503, 30297, 115789, 88367, 38641, 1811, 25904, 16144, 39880, 71493, 65299, 52414, 19732, 89046, 120988, 39926, 33334, 76622, 81219, 5486, 67645, 103171, 108152, 38248, 114, 11972, 20230, 77219, 29295, 122908, 39880, 103646, 32149, 103296, 17620, 107277, 33541, 1811, 21124, 16144, 126513, 5486, 121298, 119318, 116310, 16144, 116700, 16556, 5486, 104712, 101832, 32977, 106624, 15682, 122908, 39880, 103646, 9039, 116771, 78183, 107277, 33541, 9174, 119560, 16144, 111800, 52084, 111848, 89753, 17701, 15682, 5486, 111800, 52084, 76739, 123581, 16073, 32335, 109431, 33208, 5486, 17663, 26854, 78183, 43514, 63879, 117824, 30297, 106592, 115552, 78434, 1811, 101307, 116974, 9039, 30512, 115079, 126172, 113009, 5486, 50021, 106483, 116974, 30512, 115079, 71289, 56051, 31431, 106116, 102669, 103991, 15682, 43240, 104091, 43240, 103826, 38641, 109807, 103846, 5486, 43240, 119064, 116537, 104405, 126693, 111800, 52084, 110480, 25129, 30512, 17905, 25129, 117657, 124233, 124403, 19732, 117952, 33121, 33541, 9174, 80673, 5486, 109134, 125231, 109335, 57207, 108969, 33710, 38641, 9174, 12, 113545, 108941, 30512, 58254, 252, 30369, 198, 12, 113545, 108941, 114556, 89046, 56051, 5486, 103672, 37823, 72369, 103202, 9458, 105284, 30512, 77219, 30512, 102181, 47884, 198, 12, 105120, 236, 9080, 26854, 109713, 105335, 52414, 20230, 47260, 108304, 119495, 30512, 11883, 37689, 54926, 198, 57933, 108941, 30512, 58254, 252, 30369, 109335, 27384, 102769, 38641, 127211, 114435, 16144, 116229, 71289, 5486, 118331, 61398, 116229, 123160, 39850, 125380, 105110, 81219, 5486, 17663, 16556, 20230, 105184, 107608, 28713, 30369, 47260, 108304, 119495, 33857, 30512, 19361, 103792, 103846, 5486, 66953, 32131, 76739, 103906, 11972, 20230, 105469, 102189, 106901, 16073, 114615, 77219, 72661, 17905, 25129, 20230, 52563, 84389, 33541, 119520, 5486, 110219, 16144, 111234, 52884, 116229, 77181, 108048, 108680, 103296, 37823, 102741, 61398, 30512, 111017, 47884, 109335, 103082, 107515, 109900, 126036, 5486, 14783, 29295, 20379, 103792, 102472, 114265, 118372, 20230, 117989, 76947, 5486, 20713, 118821, 57933, 108941, 9458, 106901, 16073, 33710, 20230, 58254, 252, 100472, 116229, 126694, 30369, 24273, 29295, 111800, 52084, 76739, 123581, 113883, 107624, 95001, 29295, 126574, 38641, 1811, 113702, 5486, 111800, 52084, 106613, 68171, 16144, 89753, 17701, 32977, 115079, 58942, 33541, 9174, 16995, 75694, 57933, 108941, 30512, 58254, 252, 100472, 33503, 5486, 57933, 108941, 114556, 89046, 56051, 77219, 9458, 47260, 108304, 119495, 30512, 11883, 37689, 78434, 1811, 110924, 16556, 32018, 62004, 110071, 104468, 5486, 111419, 33857, 16144, 83125, 19732, 5486, 83125, 16144, 105284, 38641, 1811, 33857, 122416, 125030, 33503, 123671, 5486, 105284, 16144, 103167, 16995, 83125, 30512, 33857, 106518, 39926, 114732, 19732, 5486, 14783, 16144, 107624, 95001, 29295, 17297, 29295, 31431, 33541, 1811, 66378, 20230, 123011, 62004, 116229, 30512, 102404, 79982, 114267, 109606, 16556, 5486, 111800, 52084, 107908, 115054, 78525, 91062, 16144, 122489, 15682, 114652, 72718, 50834, 30369, 101200, 115717, 79721, 1811, 43240, 119064, 6109, 116229, 29295, 106839, 17701, 103792, 14783, 39880, 96452, 37823, 103906, 29220, 117718, 119526, 30512, 76706, 11883, 126693, 5486, 73597, 252, 19000, 82973, 123160, 64467, 105888, 16556, 108152, 38248, 114, 11972, 107624, 95001, 29295, 78183, 107277, 102131, 38641, 109807, 103846, 5486, 47260, 108304, 119495, 16144, 33857, 32977, 117952, 33121, 33541, 29295, 5486, 21105, 96, 107277, 108152, 38248, 114, 11972, 20230, 107734, 20230, 80195, 59739, 108134, 30512, 109466, 31431, 104526, 104004, 105908, 27384, 102769, 38641, 9174, 80539, 5486, 121410, 9080, 102083, 100472, 23187, 23538, 109904, 107507, 101198, 94550, 16556, 47260, 108304, 119495, 30512, 55487, 22023, 112990, 57980, 16995, 38641, 9174, 111800, 52084, 111848, 89753, 17701, 19732, 50, 2507, 111848, 89753, 17701, 15682, 67645, 112384, 32977, 27384, 102769, 38641, 1811, 39135, 104680, 26854, 108167, 103214, 64121, 41007, 115991, 33541, 29295, 5486, 30590, 45893, 20230, 120321, 106307, 112535, 71289, 107462, 47884, 118733, 5486, 67645, 112384, 32977, 115079, 105262, 105879, 123334, 110104, 16556, 107991, 105755, 15682, 5486, 83747, 21105, 248, 59739, 72661, 108167, 103214, 104127, 16995, 105898, 16995, 1811, 102131, 91763, 30297, 110589, 51330, 119400, 38641, 1811, 128001, 128000, 14711, 106982, 25197, 113714, 105026, 57183, 104603, 72369, 39880, 45631, 68759, 52591, 114792, 59739, 122924, 17792, 10646, 220, 9674, 15, 8107, 119400, 198, 37271, 18904, 16144, 52884, 77750, 77181, 127359, 25197, 113714, 16144, 106384, 104603, 72369, 39880, 45631, 68759, 52591, 114792, 59739, 122924, 17792, 118587, 198, 126362, 103801, 109954, 9174, 117039, 20713, 7705, 68759, 25197, 113714, 105026, 57183, 104603, 72369, 39880, 13177, 68759, 52591, 114792, 59739, 122924, 17792, 10646, 220, 9674, 15, 8107, 119400, 198, 117039, 25963, 7705, 110927, 17905, 108519, 28190, 105228, 33014, 66201, 198, 68759, 25197, 113714, 16144, 106384, 104603, 72369, 39880, 107809, 77181, 5486, 125261, 9554, 89154, 70563, 72369, 109554, 15682, 106942, 106046, 16995, 198, 33541, 1811, 113164, 103906, 105048, 117903, 72661, 114652, 91774, 126929, 33541, 15024, 5486, 112599, 72661, 114652, 19967, 102204, 198, 30369, 126909, 106942, 38641, 9174, 117039, 34617, 7705, 110927, 17905, 198, 13177, 68759, 52591, 66383, 15682, 111482, 29295, 69978, 103836, 5486, 105811, 105871, 71289, 111555, 102831, 16556, 19967, 109115, 103181, 117759, 77913, 16556, 5486, 20713, 66224, 198, 21909, 972, 126241, 20230, 112673, 118517, 26269, 80805, 16556, 27384, 89753, 23039, 121256, 1811, 110176, 79982, 20230, 123222, 29295, 87447, 102532, 108086, 111476, 110176, 112909, 17701, 106824, 118937, 30512, 108167, 79721, 119520, 36896, 68759, 52591, 10646, 15682, 777, 126241, 101983, 104533, 89753, 23039, 198, 33334, 120700, 115717, 5486, 104774, 26269, 104272, 103306, 105047, 95399, 20230, 13079, 108, 56906, 109768, 50834, 79721, 9174, 117039, 46702, 7705, 110927, 17905, 198, 22656, 19967, 16144, 118028, 76428, 115307, 15682, 11242, 16, 116033, 115132, 57207, 76739, 10110, 122908, 11972, 100560, 237, 78983, 16144, 108975, 48634, 111848, 23954, 113468, 68408, 126590, 103646, 123604, 38641, 1811, 106496, 120998, 71289, 111828, 71869, 16144, 104654, 30512, 102494, 78459, 112694, 20230, 198, 56051, 106942, 119627, 127359, 25197, 113714, 16144, 106384, 104603, 72369, 39880, 15682, 58426, 39177, 104680, 16144, 104774, 26269, 104272, 71289, 89753, 198, 23039, 30512, 114652, 21405, 127145, 1811, 32977, 43514, 85791, 25827, 110371, 39880, 57207, 76739, 16144, 106942, 32977, 106116, 27452, 48915, 77181, 198, 124897, 9174, 117039, 44597, 7705, 110927, 17905, 116381, 42634, 106240, 122060, 198, 122615, 16144, 105811, 30512, 64063, 101832, 38144, 103892, 17597, 122, 119707, 104369, 31431, 5486, 103892, 30512, 110993, 79982, 20230, 119448, 47884, 91774, 122101, 123017, 51330, 198, 40265, 125344, 104774, 26269, 104272, 38641, 113637, 122924, 116537, 65917, 112909, 68759, 52591, 55031, 20834, 39926, 46034, 112810, 30512, 198, 98499, 104127, 61689, 1811, 117384, 32977, 39850, 64178, 126758, 113146, 5486, 46034, 112810, 15682, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 198, 16144, 46034, 38574, 103306, 115515, 77181, 101067, 66201, 118765, 108680, 16144, 107693, 34171, 114792, 107462, 79721, 9174, 117039, 60596, 7705, 110927, 17905, 109006, 112810, 16144, 122060, 198, 51330, 46034, 112810, 16144, 44915, 29295, 67645, 103171, 102944, 115287, 32149, 53283, 30369, 17663, 103854, 32977, 124897, 29295, 111476, 68759, 25197, 113714, 16144, 106384, 104603, 72369, 39880, 77181, 5486, 108056, 19732, 46034, 112810, 20230, 88435, 29295, 102181, 32149, 106824, 61689, 9174, 111482, 16144, 112741, 55031, 58426, 44915, 20230, 39135, 104680, 106046, 16995, 30512, 46065, 111, 127397, 64121, 30369, 123017, 127359, 25197, 113714, 198, 106384, 104603, 72369, 39880, 16144, 105465, 21105, 123, 24273, 106046, 61689, 9174, 117039, 66224, 7705, 106982, 105048, 198, 68759, 105048, 15682, 103672, 127065, 119063, 5486, 123604, 96452, 127058, 15682, 35, 2287, 38641, 1811, 112599, 33655, 78183, 115032, 198, 17039, 25446, 87217, 77181, 24865, 1987, 115717, 33541, 9174, 117039, 66115, 7705, 116561, 117429, 30512, 61304, 108565, 56051, 103842, 227, 41401, 55723, 43444, 124055, 119752, 45829, 105755, 23954, 117039, 66115, 119735, 68759, 33710, 47260, 37823, 118928, 113146, 16144, 68759, 25197, 113714, 61337, 16144, 61304, 108565, 119627, 5486, 104398, 34048, 198, 103296, 108008, 20230, 112427, 103350, 20230, 19967, 125398, 112973, 114652, 17620, 107277, 33541, 9174, 777, 126241, 16144, 106384, 104603, 72369, 39880, 102052, 103721, 232, 104398, 26854, 44971, 61398, 104309, 32977, 11883, 16995, 124195, 108086, 111476, 51330, 113146, 16144, 106384, 104603, 72369, 39880, 15682, 68759, 25197, 113714, 16144, 101544, 16995, 114172, 102512, 107809, 72661, 5486, 111575, 16144, 198, 25446, 105284, 19732, 107624, 116216, 61689, 9174, 22656, 19967, 15682, 20, 9953, 1627, 9080, 10110, 35330, 7705, 21909, 1591, 9080, 10110, 9080, 120732, 113164, 103906, 105048, 111661, 39880, 258, 17039, 109249, 20230, 114421, 198, 105260, 78434, 105879, 5486, 48154, 109834, 103868, 16144, 101182, 24273, 15682, 120953, 108422, 38093, 75267, 126250, 48154, 111182, 72315, 9174, 113497, 30926, 16144, 116718, 15682, 88852, 16556, 48154, 114140, 72315, 9174, 103927, 103202, 122481, 15682, 117896, 38641, 720, 14711, 123182, 120389, 52591, 9458, 108768, 109482, 78349, 114615, 103842, 227, 41401, 55723, 198, 68759, 25197, 113714, 23530, 104346, 86354, 16144, 102491, 16995, 103842, 227, 41401, 55723, 71289, 108152, 38248, 110, 52414, 113146, 16144, 117813, 103991, 46729, 16144, 103842, 227, 41401, 198, 55723, 29295, 27384, 53901, 112495, 105879, 5486, 83747, 21105, 248, 59739, 119627, 47260, 44971, 122131, 127145, 9174, 66378, 20230, 68759, 25197, 113714, 16144, 121995, 122382, 104599, 72661, 105693, 117813, 103991, 46729, 123182, 120389, 52591, 9458, 108768, 109482, 78349, 33710, 198, 16144, 106942, 15682, 66378, 20230, 127879, 76947, 61689, 9174, 45923, 123082, 16144, 102491, 22656, 102571, 121944, 108895, 56051, 106942, 30512, 121247, 76947, 102532, 5486, 108064, 32977, 103424, 25446, 30512, 198, 126362, 39926, 120700, 101732, 16144, 119627, 122603, 106036, 95, 30512, 114667, 20230, 72516, 30512, 119962, 100204, 38144, 103801, 16995, 17129, 198, 56051, 1811, 33710, 120389, 52591, 9458, 108768, 109482, 78349, 114615, 103842, 227, 41401, 55723, 15682, 102971, 106391, 117902, 102800, 105879, 115515, 74482, 104405, 198, 119607, 32149, 19732, 81742, 100204, 127280, 9174, 68759, 25197, 113714, 16144, 117018, 30512, 30512, 22957, 57980, 103470, 103926, 56051, 33710, 120389, 52591, 9458, 108768, 109482, 78349, 114615, 103842, 227, 41401, 55723, 198, 106942, 15682, 51330, 52884, 77750, 72661, 99849, 18904, 32149, 126362, 121256, 29295, 110371, 102491, 22656, 102571, 98369, 32149, 198, 33503, 17701, 46034, 56051, 114626, 108176, 32149, 121061, 106942, 126130, 30832, 112649, 76622, 33541, 9174, 117039, 20713, 7705, 106982, 25197, 113714, 16144, 104346, 86354, 124934, 227, 41401, 55723, 220, 5926, 15, 8107, 119400, 198, 102433, 72661, 100783, 239, 29295, 58666, 102800, 105343, 107792, 119627, 5486, 102494, 101335, 110305, 103202, 106272, 100783, 239, 30512, 112391, 107726, 198, 30369, 103842, 227, 41401, 55723, 106046, 61689, 1811, 102159, 105390, 102052, 5486, 106391, 111629, 71289, 60358, 86354, 110596, 86354, 16144, 110240, 62543, 41007, 20230, 111476, 108285, 30358, 71289, 49409, 7741, 236, 16144, 111179, 101083, 121995, 16144, 117375, 30512, 112391, 30369, 16144, 119627, 5486, 112073, 103826, 112987, 32149, 29295, 16556, 198, 109954, 95532, 117039, 25963, 7705, 110927, 17905, 112675, 17620, 126292, 52884, 44971, 107461, 103223, 112193, 41758, 60174, 198, 117039, 34617, 7705, 110927, 17905, 112675, 17620, 107748, 33710, 102832, 101701, 198, 117039, 46702, 7705, 110927, 17905, 112675, 17620, 101678, 111398, 198, 117039, 44597, 7705, 220, 106942, 104482, 13372, 106982, 25197, 113714, 23530, 16144, 27280, 118, 103192, 198, 117039, 60596, 7705, 106773, 76171, 123182, 120389, 52591, 9458, 108768, 109482, 78349, 33710, 198, 117039, 66224, 7705, 110927, 39880, 120397, 117758, 112599, 16144, 104346, 86354, 198, 117039, 66115, 7705, 106982, 25197, 113714, 23530, 108834, 103, 35894, 117039, 198, 37271, 18904, 32977, 5486, 108768, 109482, 78349, 33710, 29295, 110240, 102334, 104346, 86354, 29295, 5486, 116414, 117758, 27280, 118, 103192, 103195, 32149, 30512, 84851, 23187, 198, 121256, 127211, 112495, 107461, 52414, 15682, 33334, 60174, 16144, 70141, 50834, 19732, 101701, 16144, 89753, 33121, 16144, 39880, 120397, 38641, 9174, 112599, 15682, 103842, 227, 41401, 55723, 102052, 100604, 17039, 102800, 106554, 29295, 107145, 126469, 61689, 29295, 110371, 106554, 16144, 49409, 110366, 198, 16144, 103232, 111418, 38574, 118801, 120938, 117758, 104346, 86354, 19732, 84851, 23187, 121256, 9174, 109657, 126516, 29295, 108768, 109482, 78349, 114615, 91774, 28713, 116245, 5486, 103271, 126516, 119279, 60174, 38641, 9174, 58666, 102800, 104346, 86354, 38641, 9174, 14711, 106982, 25197, 113714, 16144, 102185, 121995, 122382, 6704, 100, 246, 29430, 109904, 102185, 115752, 105586, 55723, 25333, 16144 ]
[ 102185, 83639, 17905, 104297, 16144, 102185, 198, 51330, 52884, 77750, 15682, 5486, 121995, 122382, 30512, 26854, 30813, 103836, 24273, 29295, 5486, 126920, 121771, 98369, 91774, 38144, 198, 17297, 30813, 103836, 117840, 1811, 61826, 9080, 32977, 103927, 91482, 25005, 248, 76171, 102514, 120332, 55031, 5486, 117032, 16144, 198, 102185, 121995, 19732, 102491, 105586, 55723, 25333, 16144, 102185, 121995, 16144, 121953, 29295, 5486, 105408, 20230, 104655, 102532, 32977, 114652, 17620, 124403, 198, 110792, 48154, 105284, 99397, 30512, 115962, 50834, 79721, 9174, 37271, 18904, 15682, 22656, 52884, 77750, 16556, 5486, 105755, 118789, 112535, 91774, 100481, 105898, 16995, 106046, 61689, 9174, 37271, 18904, 15682, 88852, 16144, 34617, 104091, 104770, 20230, 102185, 30512, 108167, 109415, 33541, 9174, 121980, 103826, 29430, 109904, 102185, 64063, 16144, 121995, 115189, 227, 117831, 122532, 220, 5120, 5120, 101678, 25287, 102832, 61398, 198, 117039, 20713, 7705, 108453, 38248, 109, 102185, 64063, 16144, 121995, 6704, 100, 246, 29430, 109904, 102185, 198, 117039, 20713, 119735, 32938, 105037, 224, 13177, 68759, 25197, 113714, 52591, 32131, 124049, 66383, 32149, 13177, 103826, 29430, 109904, 102185, 121995, 66383, 127173, 104028, 198, 68759, 25197, 113714, 77181, 32335, 32977, 108936, 109904, 102185, 121995, 38641, 123601, 19967, 29295, 27384, 25287, 102832, 61398, 16144, 121995, 122382, 198, 119627, 5486, 21, 104091, 104770, 71689, 16144, 102185, 29295, 110240, 32149, 103468, 52884, 38248, 109, 16144, 121995, 122382, 38641, 9174, 31958, 30369, 16995, 39135, 104873, 16556, 123726, 123726, 19732, 110240, 32149, 106824, 61689, 29295, 110371, 102185, 64063, 16144, 106391, 111629, 16556, 58426, 198, 110674, 109683, 98220, 20230, 48706, 54926, 102944, 126194, 127359, 25197, 113714, 16144, 101544, 16995, 114172, 102512, 107809, 16556, 19967, 198, 124195, 105898, 117450, 32648, 99741, 117831, 124122, 106391, 111629, 38641, 1811, 68759, 25197, 113714, 16144, 106942, 107809, 72661, 86127, 198, 105459, 29295, 32335, 32977, 105104, 104028, 101513, 38093, 16144, 127181, 121995, 122382, 123253, 9174, 117039, 25963, 7705, 102185, 19732, 28873, 53953, 16144, 121995, 115752, 105586, 55723, 25333, 198, 117039, 20713, 7705, 19732, 57106, 103854, 104533, 5486, 15682, 121381, 111842, 121953, 119279, 17620, 107277, 115962, 76622, 104533, 91763, 61689, 9174, 35086, 233, 16995, 39135, 104873, 15682, 5486, 121995, 16144, 77913, 30512, 107960, 112371, 114146, 30369, 30926, 113468, 19967, 102204, 33541, 1811, 972, 126241, 198, 40265, 125344, 103842, 227, 41401, 55723, 30512, 46034, 22656, 103306, 107991, 105879, 5486, 103826, 29430, 109904, 102185, 105755, 111134, 106384, 48552, 26854, 198, 101911, 110240, 16556, 102185, 71289, 28873, 53953, 29295, 21405, 102321, 116216, 61689, 1811, 103826, 29430, 109904, 102185, 16144, 117355, 71289, 107188, 47307, 108981, 198, 19732, 108901, 26854, 31431, 5486, 62543, 103350, 109904, 110240, 62543, 107118, 106627, 106824, 104398, 28741, 20230, 110240, 50834, 69847, 16556, 61689, 9174, 117039, 34617, 7705, 1785, 52884, 38248, 109, 83639, 17905, 104297, 16144, 102185, 121995, 198, 117039, 34617, 7705, 32977, 102491, 105586, 55723, 25333, 16144, 102185, 121995, 119627, 5486, 117039, 25963, 120732, 110240, 25333, 30512, 122270, 84851, 15024, 103130, 62004, 198, 28713, 102012, 110993, 16144, 102491, 105586, 55723, 25333, 102083, 105262, 102944, 38641, 1811, 101911, 110240, 16144, 104398, 30813, 102097, 28741, 30813, 15682, 5486, 117450, 32648, 121995, 198, 122382, 121960, 15682, 115847, 71689, 16937, 88367, 107173, 91763, 105262, 106084, 38641, 1811, 68759, 25197, 113714, 16144, 198, 9039, 101182, 102185, 121995, 122382, 107809, 72661, 36896, 104371, 47523, 121930, 103826, 29430, 16144, 102185, 121995, 66383, 55999, 20230, 32335, 17905, 104297, 16144, 198, 25129, 30590, 117083, 103846, 110371, 31091, 16556, 127173, 33121, 33541, 9174, 118544, 29295, 123253, 32149, 9174, 22656, 52884, 77750, 77181, 121995, 122382, 112113, 109904, 50338, 108323, 15682, 66870, 50834, 33541, 29295, 5486, 108936, 16144, 103826, 29430, 109904, 198, 102185, 121995, 19732, 102491, 105586, 55723, 25333, 16144, 102185, 121995, 16144, 121953, 119279, 17620, 107277, 115962, 76622, 104533, 91763, 61689, 9174, 107969, 64209, 26854, 103927, 103202, 99695, 76171, 102514, 16144, 113009, 5486, 88852, 66953, 32131, 16144, 102185, 103378, 30512, 110305, 106240, 198, 122060, 39926, 48154, 111182, 20230, 16995, 33121, 33541, 1811, 18, 104091, 16144, 110240, 25333, 16144, 121953, 30512, 105755, 118789, 112535, 112391, 38144, 198, 115962, 105784, 16144, 111769, 123253, 32149, 9174, 117039, 46702, 7705, 103826, 29430, 109904, 102185, 109228, 32131, 16144, 110305, 106240, 122060, 198, 117039, 44597, 7705, 102491, 105586, 55723, 25333, 16144, 102185, 109228, 32131, 16144, 110305, 106240, 122060, 198, 117039, 60596, 7705, 83639, 17905, 104297, 16144, 102185, 109228, 32131, 16144, 110305, 106240, 122060, 198, 117039, 46702, 7705, 55031, 110480, 20230, 46034, 16144, 104526, 102189, 110240, 25333, 103195, 112973, 31958, 33503, 32149, 38641, 1811, 61786, 106390, 112028, 198, 104322, 109904, 95001, 112603, 114181, 77181, 5486, 46034, 29295, 32149, 32149, 104984, 32149, 117295, 108680, 95001, 112603, 29295, 115442, 107462, 47884, 198, 105879, 5486, 102491, 105586, 55723, 25333, 16144, 102185, 121995, 15682, 19732, 111243, 45736, 95001, 115717, 33541, 1811, 102491, 105586, 55723, 25333, 15682, 103826, 29430, 9554, 198, 26854, 102185, 121995, 16144, 17, 21909, 18, 98406, 16144, 46034, 9039, 30512, 31634, 17663, 102083, 123671, 5486, 121374, 32977, 77693, 20230, 124560, 109768, 198, 33541, 1811, 17129, 39926, 71289, 32335, 17905, 104297, 16144, 102185, 121995, 16144, 121374, 15682, 121602, 47884, 108680, 126574, 102944, 38641, 59459, 63212, 64121, 198, 20230, 5486, 112599, 5486, 47260, 25005, 240, 11972, 34, 90385, 16556, 5486, 16, 65854, 1041, 110743, 60358, 47884, 78434, 23954, 15120, 91774, 5486, 112361, 105933, 102185, 121995, 72661, 5486, 103350, 15682, 108895, 56051, 27384, 112495, 121953, 107407, 16144, 38641, 1811, 128001, 128000, 39442, 106613, 111186, 55031, 6109, 68408, 103988, 25197, 118567, 5486, 2327, 14, 13706, 110045, 103988, 25197, 118567, 30512, 30832, 64467, 127145, 21370, 248, 33710, 102741, 96452, 76947, 99849, 112130, 11571, 21370, 248, 33710, 102741, 96452, 113404, 29295, 27384, 102769, 26854, 109335, 78183, 32149, 103836, 123682, 120953, 125338, 19967, 100472, 33503, 126521, 102944, 32149, 1981, 21370, 248, 33710, 102741, 96452, 109853, 50338, 108323, 54926, 57980, 5000, 68408, 126590, 5486, 2327, 14, 13706, 68408, 126590, 122692, 99695, 33710, 102741, 96452, 16144, 113404, 16144, 71289, 31431, 24273, 71289, 76706, 11883, 16144, 106548, 24273, 30512, 100927, 105262, 57980, 198, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 9174, 32977, 47884, 100204, 198, 15682, 100204, 62004, 20230, 198, 109416, 47884, 198, 105408, 198, 39442, 106613, 111186, 55031, 6109, 68408, 103988, 25197, 118567, 5486, 2327, 14, 13706, 68408, 103988, 25197, 118567, 30512, 30832, 64467, 109768, 104533, 111476, 13177, 99695, 33710, 102741, 96452, 66383, 95604, 110904, 102158, 30512, 30832, 117657, 32149, 106046, 61689, 1811, 21370, 248, 33710, 102741, 96452, 15682, 112084, 38248, 110, 67075, 117408, 108152, 38248, 114, 115247, 113679, 66201, 30512, 107188, 31431, 118789, 112535, 25197, 126989, 56051, 102944, 16144, 118733, 115847, 107407, 19732, 6109, 16144, 113404, 71289, 68408, 126590, 16144, 112169, 34171, 104309, 29295, 15682, 121381, 31431, 15024, 5486, 102923, 105226, 16144, 8239, 114503, 30512, 45736, 109315, 105908, 125545, 9174, 109416, 47884, 15682, 118482, 108695, 16144, 2327, 14, 13706, 68408, 103988, 25197, 118567, 103306, 122502, 102532, 50834, 79721, 29295, 5486, 126913, 54926, 107420, 109531, 110548, 48154, 19732, 20230, 99695, 33710, 102741, 96452, 30512, 113404, 39926, 50834, 79721, 9174, 53900, 114835, 108695, 113146, 10110, 40265, 39177, 15682, 112167, 101275, 16556, 56051, 29295, 120732, 39177, 32977, 5486, 61337, 123727, 68408, 103988, 25197, 118567, 29295, 99695, 33710, 102741, 96452, 126694, 76947, 29220, 102803, 39880, 52414, 20230, 29172, 81742, 56051, 31431, 109768, 79721, 9174, 99695, 33710, 102741, 96452, 113404, 15682, 68408, 103988, 25197, 118567, 29295, 126913, 54926, 105908, 43240, 47884, 5486, 6109, 68408, 103988, 25197, 118567, 9458, 2327, 14, 13706, 68408, 103988, 25197, 118567, 30512, 30832, 64467, 17663, 105879, 30591, 104984, 19967, 31431, 24273, 71289, 113727, 24273, 30512, 105321, 19732, 103470, 72661, 53283, 76947, 33334, 102334, 24273, 29295, 104712, 32149, 106046, 61689, 9174, 51330, 122481, 77181, 109416, 119064, 85701, 103296, 16144, 106613, 111186, 30512, 32977, 19732, 20230, 5486, 99695, 33710, 102741, 96452, 113404, 16144, 71289, 31431, 24273, 71289, 76706, 11883, 25333, 109853, 123011, 107436, 64121, 79721, 9174, 99849, 123772, 120577, 121846, 101983, 104984, 106515, 16995, 38641, 9174, 27929, 32977, 27929, 32977, 99695, 33710, 102741, 96452, 107118, 95532, 17905, 72661, 43032, 103854, 28713, 104466, 5486, 99695, 33710, 102741, 96452, 15682, 47307, 38248, 110, 67075, 117408, 108152, 38248, 114, 115247, 113679, 66201, 30512, 107188, 31431, 118789, 112535, 25197, 126989, 56051, 102944, 30512, 64467, 78434, 9174, 108152, 38248, 114, 115247, 34171, 103283, 71289, 8107, 106036, 95, 121142, 103470, 5486, 34171, 35083, 71289, 110999, 103868, 106347, 250, 53901, 5486, 9080, 40053, 16144, 123120, 103296, 25197, 126989, 103792, 105908, 120098, 38641, 9174, 99695, 33710, 102741, 96452, 15682, 27384, 33014, 114387, 32149, 25827, 100204, 80129, 20230, 123011, 109315, 105908, 127181, 38641, 9174, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 39850, 37823, 67075, 15682, 119448, 47884, 33671, 16144, 17, 59739, 29295, 123680, 102639, 102204, 33541, 198, 102923, 105226, 16144, 8239, 114503, 30512, 45736, 109315, 105908, 108608, 198, 47307, 38248, 110, 67075, 117408, 108152, 38248, 114, 115247, 113679, 66201, 29295, 15682, 121381, 31431, 54926, 103846, 106116, 108152, 38248, 114, 115247, 78683, 106240, 30512, 112624, 28713, 17663, 105933, 108152, 38248, 114, 112694, 102439, 125913, 26854, 102923, 105226, 30512, 76537, 59739, 105908, 125545, 1811, 71289, 64121, 47884, 32977, 20230, 102923, 105226, 30512, 76537, 59739, 126036, 5486, 15682, 30369, 111201, 126120, 96455, 103424, 47884, 8239, 114503, 109904, 102923, 105226, 30512, 76537, 59739, 105908, 125545, 9174, 116690, 30046, 56965, 16556, 25197, 126989, 30512, 105156, 15120, 54926, 105908, 108608, 198, 116690, 112919, 56965, 16556, 108152, 38248, 114, 11972, 66201, 16144, 104736, 109375, 78525, 44971, 107407, 19732, 5486, 43568, 102147, 226, 26854, 19967, 101275, 71289, 104760, 105242, 5486, 46034, 114941, 31431, 29295, 102404, 21990, 39926, 103801, 16995, 5486, 126120, 96455, 103424, 47884, 107420, 109531, 110548, 30512, 103130, 109315, 105908, 103082, 107515, 1811, 99695, 33710, 102741, 96452, 30512, 121697, 38144, 116690, 30046, 56965, 16144, 25197, 126989, 30512, 105156, 15120, 54926, 118733, 5486, 37087, 102351, 16556, 112361, 112169, 30512, 30832, 64467, 17663, 105908, 103082, 5486, 107420, 109531, 110548, 30512, 22398, 91062, 106240, 20230, 103130, 109315, 105908, 125545, 9174, 13177, 85707, 107436, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 76864, 102677, 24273, 15682, 36896, 198, 6109, 103857, 44971, 122131, 16144, 17039, 123782, 33710, 64178, 66383, 95604, 22656, 29295, 78183, 107277, 126172, 47884, 123011, 17129, 103836, 105879, 90962, 22398, 22398, 39850, 38641, 9174, 51330, 22656, 102052, 116229, 103857, 44971, 122131, 37087, 104322, 16144, 108729, 109904, 105908, 105550, 108327, 116216, 108086, 5486, 6109, 116229, 114835, 16144, 114181, 28542, 16556, 99695, 33710, 102741, 96452, 113404, 16144, 106548, 24273, 29295, 123011, 17129, 76947, 61689, 1811, 6109, 20230, 120988, 78183, 30369, 105110, 81219, 112371, 104328, 98499, 104127, 33334, 105898, 16995, 16, 119752, 38641, 9174, 6109, 103857, 44971, 122131, 16144, 17039, 9458, 123782, 33710, 64178, 117826, 75267, 16144, 126120, 96455, 30512, 122060, 54926, 110770, 102756, 105048, 52591, 117243, 19732, 68759, 102750, 76428, 73590, 198, 99695, 33710, 102741, 96452, 113404, 16556, 27384, 102769, 117657, 100909, 198, 110382, 126328, 5486, 109416, 47884, 29295, 91763, 30297, 13177, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 17905, 16556, 27384, 102769, 117657, 100909, 10646, 109853, 5486, 43032, 103854, 100481, 50834, 33541, 9174, 19732, 112649, 47884, 108152, 38248, 114, 11972, 114447, 6447, 104612, 33710, 30512, 53283, 30369, 106609, 109416, 47884, 29295, 118482, 108695, 20230, 102334, 110018, 20230, 61826, 101477, 102, 61337, 102351, 55031, 16995, 90620, 102334, 112690, 16556, 5486, 114387, 112690, 115991, 33541, 9174, 49691, 231, 27384, 26854, 61826, 101477, 102, 198, 108152, 38248, 114, 11972, 29295, 67645, 103171, 35083, 53901, 16556, 67645, 103171, 104654, 30512, 39926, 102532, 5486, 67645, 103171, 110229, 16556, 114053, 30512, 102456, 76947, 5486, 67645, 103171, 126101, 124131, 103927, 30512, 16995, 100204, 30369, 104865, 106116, 25197, 126989, 30512, 121200, 31958, 20230, 102158, 104028, 104466, 21105, 103, 65316, 109807, 113009, 33655, 105262, 46034, 38574, 30512, 86348, 33655, 76947, 108152, 38248, 114, 11972, 30512, 53283, 31431, 26854, 65316, 9174, 109416, 47884, 15682, 37271, 72661, 51330, 112690, 30512, 27384, 102769, 116446, 102532, 5486, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 110018, 15682, 59614, 101860, 5486, 124773, 91482, 72369, 38248, 226, 113164, 102663, 84477, 115132, 96452, 37823, 103906, 29220, 22398, 104309, 5486, 103826, 104680, 26854, 106596, 30512, 52591, 33710, 76706, 11883, 39926, 108152, 38248, 114, 11972, 30512, 102987, 47884, 53283, 103950, 103306, 61689, 9174, 115364, 76739, 103621, 71289, 61826, 17701, 114181, 16556, 108152, 38248, 114, 11972, 66201, 30512, 23187, 104577, 54926, 16144, 126194, 111476, 108152, 38248, 114, 115247, 104612, 33710, 30512, 106767, 102012, 15024, 106116, 104612, 33710, 19732, 70141, 50834, 40862, 76947, 99695, 33710, 102741, 96452, 126694, 31431, 109415, 100481, 47884, 107420, 64810, 22398, 29295, 27384, 102769, 38641, 9174, 110382, 16556, 16995, 111201, 102987, 47884, 106596, 15024, 5486, 108152, 38248, 114, 115247, 104612, 33710, 19732, 70141, 50834, 40862, 105262, 32149, 16556, 5486, 102923, 105226, 16144, 102097, 27479, 29295, 119448, 47884, 104721, 116547, 33541, 1811, 21105, 96, 107277, 19732, 108152, 38248, 114, 11972, 19732, 70141, 50834, 40862, 100472, 99695, 33710, 102741, 96452, 107407, 19732, 108048, 20230, 75146, 109669, 102532, 23039, 100472, 102923, 105226, 10110, 55723, 28190, 16144, 2327, 23226, 23951, 71289, 66953, 96452, 115247, 107167, 76739, 25197, 103906, 52884, 122489, 104309, 7705, 32977 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 102185, 83639, 17905, 104297, 16144, 102185, 198, 51330, 52884, 77750, 15682, 5486, 121995, 122382, 30512, 26854, 30813, 103836, 24273, 29295, 5486, 126920, 121771, 98369, 91774, 38144, 198, 17297, 30813, 103836, 117840, 1811, 61826, 9080, 32977, 103927, 91482, 25005, 248, 76171, 102514, 120332, 55031, 5486, 117032, 16144, 198, 102185, 121995, 19732, 102491, 105586, 55723, 25333, 16144, 102185, 121995, 16144, 121953, 29295, 5486, 105408, 20230, 104655, 102532, 32977, 114652, 17620, 124403, 198, 110792, 48154, 105284, 99397, 30512, 115962, 50834, 79721, 9174, 37271, 18904, 15682, 22656, 52884, 77750, 16556, 5486, 105755, 118789, 112535, 91774, 100481, 105898, 16995, 106046, 61689, 9174, 37271, 18904, 15682, 88852, 16144, 34617, 104091, 104770, 20230, 102185, 30512, 108167, 109415, 33541, 9174, 121980, 103826, 29430, 109904, 102185, 64063, 16144, 121995, 115189, 227, 117831, 122532, 220, 5120, 5120, 101678, 25287, 102832, 61398, 198, 117039, 20713, 7705, 108453, 38248, 109, 102185, 64063, 16144, 121995, 6704, 100, 246, 29430, 109904, 102185, 198, 117039, 20713, 119735, 32938, 105037, 224, 13177, 68759, 25197, 113714, 52591, 32131, 124049, 66383, 32149, 13177, 103826, 29430, 109904, 102185, 121995, 66383, 127173, 104028, 198, 68759, 25197, 113714, 77181, 32335, 32977, 108936, 109904, 102185, 121995, 38641, 123601, 19967, 29295, 27384, 25287, 102832, 61398, 16144, 121995, 122382, 198, 119627, 5486, 21, 104091, 104770, 71689, 16144, 102185, 29295, 110240, 32149, 103468, 52884, 38248, 109, 16144, 121995, 122382, 38641, 9174, 31958, 30369, 16995, 39135, 104873, 16556, 123726, 123726, 19732, 110240, 32149, 106824, 61689, 29295, 110371, 102185, 64063, 16144, 106391, 111629, 16556, 58426, 198, 110674, 109683, 98220, 20230, 48706, 54926, 102944, 126194, 127359, 25197, 113714, 16144, 101544, 16995, 114172, 102512, 107809, 16556, 19967, 198, 124195, 105898, 117450, 32648, 99741, 117831, 124122, 106391, 111629, 38641, 1811, 68759, 25197, 113714, 16144, 106942, 107809, 72661, 86127, 198, 105459, 29295, 32335, 32977, 105104, 104028, 101513, 38093, 16144, 127181, 121995, 122382, 123253, 9174, 117039, 25963, 7705, 102185, 19732, 28873, 53953, 16144, 121995, 115752, 105586, 55723, 25333, 198, 117039, 20713, 7705, 19732, 57106, 103854, 104533, 5486, 15682, 121381, 111842, 121953, 119279, 17620, 107277, 115962, 76622, 104533, 91763, 61689, 9174, 35086, 233, 16995, 39135, 104873, 15682, 5486, 121995, 16144, 77913, 30512, 107960, 112371, 114146, 30369, 30926, 113468, 19967, 102204, 33541, 1811, 972, 126241, 198, 40265, 125344, 103842, 227, 41401, 55723, 30512, 46034, 22656, 103306, 107991, 105879, 5486, 103826, 29430, 109904, 102185, 105755, 111134, 106384, 48552, 26854, 198, 101911, 110240, 16556, 102185, 71289, 28873, 53953, 29295, 21405, 102321, 116216, 61689, 1811, 103826, 29430, 109904, 102185, 16144, 117355, 71289, 107188, 47307, 108981, 198, 19732, 108901, 26854, 31431, 5486, 62543, 103350, 109904, 110240, 62543, 107118, 106627, 106824, 104398, 28741, 20230, 110240, 50834, 69847, 16556, 61689, 9174, 117039, 34617, 7705, 1785, 52884, 38248, 109, 83639, 17905, 104297, 16144, 102185, 121995, 198, 117039, 34617, 7705, 32977, 102491, 105586, 55723, 25333, 16144, 102185, 121995, 119627, 5486, 117039, 25963, 120732, 110240, 25333, 30512, 122270, 84851, 15024, 103130, 62004, 198, 28713, 102012, 110993, 16144, 102491, 105586, 55723, 25333, 102083, 105262, 102944, 38641, 1811, 101911, 110240, 16144, 104398, 30813, 102097, 28741, 30813, 15682, 5486, 117450, 32648, 121995, 198, 122382, 121960, 15682, 115847, 71689, 16937, 88367, 107173, 91763, 105262, 106084, 38641, 1811, 68759, 25197, 113714, 16144, 198, 9039, 101182, 102185, 121995, 122382, 107809, 72661, 36896, 104371, 47523, 121930, 103826, 29430, 16144, 102185, 121995, 66383, 55999, 20230, 32335, 17905, 104297, 16144, 198, 25129, 30590, 117083, 103846, 110371, 31091, 16556, 127173, 33121, 33541, 9174, 118544, 29295, 123253, 32149, 9174, 22656, 52884, 77750, 77181, 121995, 122382, 112113, 109904, 50338, 108323, 15682, 66870, 50834, 33541, 29295, 5486, 108936, 16144, 103826, 29430, 109904, 198, 102185, 121995, 19732, 102491, 105586, 55723, 25333, 16144, 102185, 121995, 16144, 121953, 119279, 17620, 107277, 115962, 76622, 104533, 91763, 61689, 9174, 107969, 64209, 26854, 103927, 103202, 99695, 76171, 102514, 16144, 113009, 5486, 88852, 66953, 32131, 16144, 102185, 103378, 30512, 110305, 106240, 198, 122060, 39926, 48154, 111182, 20230, 16995, 33121, 33541, 1811, 18, 104091, 16144, 110240, 25333, 16144, 121953, 30512, 105755, 118789, 112535, 112391, 38144, 198, 115962, 105784, 16144, 111769, 123253, 32149, 9174, 117039, 46702, 7705, 103826, 29430, 109904, 102185, 109228, 32131, 16144, 110305, 106240, 122060, 198, 117039, 44597, 7705, 102491, 105586, 55723, 25333, 16144, 102185, 109228, 32131, 16144, 110305, 106240, 122060, 198, 117039, 60596, 7705, 83639, 17905, 104297, 16144, 102185, 109228, 32131, 16144, 110305, 106240, 122060, 198, 117039, 46702, 7705, 55031, 110480, 20230, 46034, 16144, 104526, 102189, 110240, 25333, 103195, 112973, 31958, 33503, 32149, 38641, 1811, 61786, 106390, 112028, 198, 104322, 109904, 95001, 112603, 114181, 77181, 5486, 46034, 29295, 32149, 32149, 104984, 32149, 117295, 108680, 95001, 112603, 29295, 115442, 107462, 47884, 198, 105879, 5486, 102491, 105586, 55723, 25333, 16144, 102185, 121995, 15682, 19732, 111243, 45736, 95001, 115717, 33541, 1811, 102491, 105586, 55723, 25333, 15682, 103826, 29430, 9554, 198, 26854, 102185, 121995, 16144, 17, 21909, 18, 98406, 16144, 46034, 9039, 30512, 31634, 17663, 102083, 123671, 5486, 121374, 32977, 77693, 20230, 124560, 109768, 198, 33541, 1811, 17129, 39926, 71289, 32335, 17905, 104297, 16144, 102185, 121995, 16144, 121374, 15682, 121602, 47884, 108680, 126574, 102944, 38641, 59459, 63212, 64121, 198, 20230, 5486, 112599, 5486, 47260, 25005, 240, 11972, 34, 90385, 16556, 5486, 16, 65854, 1041, 110743, 60358, 47884, 78434, 23954, 15120, 91774, 5486, 112361, 105933, 102185, 121995, 72661, 5486, 103350, 15682, 108895, 56051, 27384, 112495, 121953, 107407, 16144, 38641, 1811, 128001, 128000, 39442, 106613, 111186, 55031, 6109, 68408, 103988, 25197, 118567, 5486, 2327, 14, 13706, 110045, 103988, 25197, 118567, 30512, 30832, 64467, 127145, 21370, 248, 33710, 102741, 96452, 76947, 99849, 112130, 11571, 21370, 248, 33710, 102741, 96452, 113404, 29295, 27384, 102769, 26854, 109335, 78183, 32149, 103836, 123682, 120953, 125338, 19967, 100472, 33503, 126521, 102944, 32149, 1981, 21370, 248, 33710, 102741, 96452, 109853, 50338, 108323, 54926, 57980, 5000, 68408, 126590, 5486, 2327, 14, 13706, 68408, 126590, 122692, 99695, 33710, 102741, 96452, 16144, 113404, 16144, 71289, 31431, 24273, 71289, 76706, 11883, 16144, 106548, 24273, 30512, 100927, 105262, 57980, 198, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 9174, 32977, 47884, 100204, 198, 15682, 100204, 62004, 20230, 198, 109416, 47884, 198, 105408, 198, 39442, 106613, 111186, 55031, 6109, 68408, 103988, 25197, 118567, 5486, 2327, 14, 13706, 68408, 103988, 25197, 118567, 30512, 30832, 64467, 109768, 104533, 111476, 13177, 99695, 33710, 102741, 96452, 66383, 95604, 110904, 102158, 30512, 30832, 117657, 32149, 106046, 61689, 1811, 21370, 248, 33710, 102741, 96452, 15682, 112084, 38248, 110, 67075, 117408, 108152, 38248, 114, 115247, 113679, 66201, 30512, 107188, 31431, 118789, 112535, 25197, 126989, 56051, 102944, 16144, 118733, 115847, 107407, 19732, 6109, 16144, 113404, 71289, 68408, 126590, 16144, 112169, 34171, 104309, 29295, 15682, 121381, 31431, 15024, 5486, 102923, 105226, 16144, 8239, 114503, 30512, 45736, 109315, 105908, 125545, 9174, 109416, 47884, 15682, 118482, 108695, 16144, 2327, 14, 13706, 68408, 103988, 25197, 118567, 103306, 122502, 102532, 50834, 79721, 29295, 5486, 126913, 54926, 107420, 109531, 110548, 48154, 19732, 20230, 99695, 33710, 102741, 96452, 30512, 113404, 39926, 50834, 79721, 9174, 53900, 114835, 108695, 113146, 10110, 40265, 39177, 15682, 112167, 101275, 16556, 56051, 29295, 120732, 39177, 32977, 5486, 61337, 123727, 68408, 103988, 25197, 118567, 29295, 99695, 33710, 102741, 96452, 126694, 76947, 29220, 102803, 39880, 52414, 20230, 29172, 81742, 56051, 31431, 109768, 79721, 9174, 99695, 33710, 102741, 96452, 113404, 15682, 68408, 103988, 25197, 118567, 29295, 126913, 54926, 105908, 43240, 47884, 5486, 6109, 68408, 103988, 25197, 118567, 9458, 2327, 14, 13706, 68408, 103988, 25197, 118567, 30512, 30832, 64467, 17663, 105879, 30591, 104984, 19967, 31431, 24273, 71289, 113727, 24273, 30512, 105321, 19732, 103470, 72661, 53283, 76947, 33334, 102334, 24273, 29295, 104712, 32149, 106046, 61689, 9174, 51330, 122481, 77181, 109416, 119064, 85701, 103296, 16144, 106613, 111186, 30512, 32977, 19732, 20230, 5486, 99695, 33710, 102741, 96452, 113404, 16144, 71289, 31431, 24273, 71289, 76706, 11883, 25333, 109853, 123011, 107436, 64121, 79721, 9174, 99849, 123772, 120577, 121846, 101983, 104984, 106515, 16995, 38641, 9174, 27929, 32977, 27929, 32977, 99695, 33710, 102741, 96452, 107118, 95532, 17905, 72661, 43032, 103854, 28713, 104466, 5486, 99695, 33710, 102741, 96452, 15682, 47307, 38248, 110, 67075, 117408, 108152, 38248, 114, 115247, 113679, 66201, 30512, 107188, 31431, 118789, 112535, 25197, 126989, 56051, 102944, 30512, 64467, 78434, 9174, 108152, 38248, 114, 115247, 34171, 103283, 71289, 8107, 106036, 95, 121142, 103470, 5486, 34171, 35083, 71289, 110999, 103868, 106347, 250, 53901, 5486, 9080, 40053, 16144, 123120, 103296, 25197, 126989, 103792, 105908, 120098, 38641, 9174, 99695, 33710, 102741, 96452, 15682, 27384, 33014, 114387, 32149, 25827, 100204, 80129, 20230, 123011, 109315, 105908, 127181, 38641, 9174, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 39850, 37823, 67075, 15682, 119448, 47884, 33671, 16144, 17, 59739, 29295, 123680, 102639, 102204, 33541, 198, 102923, 105226, 16144, 8239, 114503, 30512, 45736, 109315, 105908, 108608, 198, 47307, 38248, 110, 67075, 117408, 108152, 38248, 114, 115247, 113679, 66201, 29295, 15682, 121381, 31431, 54926, 103846, 106116, 108152, 38248, 114, 115247, 78683, 106240, 30512, 112624, 28713, 17663, 105933, 108152, 38248, 114, 112694, 102439, 125913, 26854, 102923, 105226, 30512, 76537, 59739, 105908, 125545, 1811, 71289, 64121, 47884, 32977, 20230, 102923, 105226, 30512, 76537, 59739, 126036, 5486, 15682, 30369, 111201, 126120, 96455, 103424, 47884, 8239, 114503, 109904, 102923, 105226, 30512, 76537, 59739, 105908, 125545, 9174, 116690, 30046, 56965, 16556, 25197, 126989, 30512, 105156, 15120, 54926, 105908, 108608, 198, 116690, 112919, 56965, 16556, 108152, 38248, 114, 11972, 66201, 16144, 104736, 109375, 78525, 44971, 107407, 19732, 5486, 43568, 102147, 226, 26854, 19967, 101275, 71289, 104760, 105242, 5486, 46034, 114941, 31431, 29295, 102404, 21990, 39926, 103801, 16995, 5486, 126120, 96455, 103424, 47884, 107420, 109531, 110548, 30512, 103130, 109315, 105908, 103082, 107515, 1811, 99695, 33710, 102741, 96452, 30512, 121697, 38144, 116690, 30046, 56965, 16144, 25197, 126989, 30512, 105156, 15120, 54926, 118733, 5486, 37087, 102351, 16556, 112361, 112169, 30512, 30832, 64467, 17663, 105908, 103082, 5486, 107420, 109531, 110548, 30512, 22398, 91062, 106240, 20230, 103130, 109315, 105908, 125545, 9174, 13177, 85707, 107436, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 76864, 102677, 24273, 15682, 36896, 198, 6109, 103857, 44971, 122131, 16144, 17039, 123782, 33710, 64178, 66383, 95604, 22656, 29295, 78183, 107277, 126172, 47884, 123011, 17129, 103836, 105879, 90962, 22398, 22398, 39850, 38641, 9174, 51330, 22656, 102052, 116229, 103857, 44971, 122131, 37087, 104322, 16144, 108729, 109904, 105908, 105550, 108327, 116216, 108086, 5486, 6109, 116229, 114835, 16144, 114181, 28542, 16556, 99695, 33710, 102741, 96452, 113404, 16144, 106548, 24273, 29295, 123011, 17129, 76947, 61689, 1811, 6109, 20230, 120988, 78183, 30369, 105110, 81219, 112371, 104328, 98499, 104127, 33334, 105898, 16995, 16, 119752, 38641, 9174, 6109, 103857, 44971, 122131, 16144, 17039, 9458, 123782, 33710, 64178, 117826, 75267, 16144, 126120, 96455, 30512, 122060, 54926, 110770, 102756, 105048, 52591, 117243, 19732, 68759, 102750, 76428, 73590, 198, 99695, 33710, 102741, 96452, 113404, 16556, 27384, 102769, 117657, 100909, 198, 110382, 126328, 5486, 109416, 47884, 29295, 91763, 30297, 13177, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 17905, 16556, 27384, 102769, 117657, 100909, 10646, 109853, 5486, 43032, 103854, 100481, 50834, 33541, 9174, 19732, 112649, 47884, 108152, 38248, 114, 11972, 114447, 6447, 104612, 33710, 30512, 53283, 30369, 106609, 109416, 47884, 29295, 118482, 108695, 20230, 102334, 110018, 20230, 61826, 101477, 102, 61337, 102351, 55031, 16995, 90620, 102334, 112690, 16556, 5486, 114387, 112690, 115991, 33541, 9174, 49691, 231, 27384, 26854, 61826, 101477, 102, 198, 108152, 38248, 114, 11972, 29295, 67645, 103171, 35083, 53901, 16556, 67645, 103171, 104654, 30512, 39926, 102532, 5486, 67645, 103171, 110229, 16556, 114053, 30512, 102456, 76947, 5486, 67645, 103171, 126101, 124131, 103927, 30512, 16995, 100204, 30369, 104865, 106116, 25197, 126989, 30512, 121200, 31958, 20230, 102158, 104028, 104466, 21105, 103, 65316, 109807, 113009, 33655, 105262, 46034, 38574, 30512, 86348, 33655, 76947, 108152, 38248, 114, 11972, 30512, 53283, 31431, 26854, 65316, 9174, 109416, 47884, 15682, 37271, 72661, 51330, 112690, 30512, 27384, 102769, 116446, 102532, 5486, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 110018, 15682, 59614, 101860, 5486, 124773, 91482, 72369, 38248, 226, 113164, 102663, 84477, 115132, 96452, 37823, 103906, 29220, 22398, 104309, 5486, 103826, 104680, 26854, 106596, 30512, 52591, 33710, 76706, 11883, 39926, 108152, 38248, 114, 11972, 30512, 102987, 47884, 53283, 103950, 103306, 61689, 9174, 115364, 76739, 103621, 71289, 61826, 17701, 114181, 16556, 108152, 38248, 114, 11972, 66201, 30512, 23187, 104577, 54926, 16144, 126194, 111476, 108152, 38248, 114, 115247, 104612, 33710, 30512, 106767, 102012, 15024, 106116, 104612, 33710, 19732, 70141, 50834, 40862, 76947, 99695, 33710, 102741, 96452, 126694, 31431, 109415, 100481, 47884, 107420, 64810, 22398, 29295, 27384, 102769, 38641, 9174, 110382, 16556, 16995, 111201, 102987, 47884, 106596, 15024, 5486, 108152, 38248, 114, 115247, 104612, 33710, 19732, 70141, 50834, 40862, 105262, 32149, 16556, 5486, 102923, 105226, 16144, 102097, 27479, 29295, 119448, 47884, 104721, 116547, 33541, 1811, 21105, 96, 107277, 19732, 108152, 38248, 114, 11972, 19732, 70141, 50834, 40862, 100472, 99695, 33710, 102741, 96452, 107407, 19732, 108048, 20230, 75146, 109669, 102532, 23039, 100472, 102923, 105226, 10110, 55723, 28190, 16144, 2327, 23226, 23951, 71289, 66953, 96452, 115247, 107167, 76739, 25197, 103906, 52884, 122489, 104309, 7705, 32977 ]
[ 5486, 50834, 43514, 127842, 13153, 28873, 125334, 33541, 9174, 109416, 47884, 32977, 108152, 38248, 114, 11972, 106596, 30512, 62004, 104702, 62004, 104702, 125338, 66953, 96452, 115247, 107167, 76739, 25197, 103906, 52884, 30512, 122489, 56051, 106613, 111186, 115991, 33541, 29295, 5486, 107167, 48552, 96455, 29295, 16, 13, 20, 93, 17, 13, 15, 98406, 120264, 23226, 106594, 116216, 115003, 231, 67016, 100472, 61304, 125534, 115991, 33541, 9174, 64121, 103171, 29295, 78183, 117295, 83799, 20230, 102936, 19732, 15024, 104526, 104004, 198, 6109, 116229, 15682, 6109, 68408, 103988, 25197, 118567, 5486, 2327, 14, 13706, 68408, 103988, 25197, 118567, 103378, 16144, 102944, 126194, 5486, 112167, 101275, 71289, 76739, 123581, 114676, 5486, 103857, 44971, 29220, 102514, 5486, 106613, 112167, 30046, 114050, 104309, 5486, 103826, 104680, 26854, 116690, 30046, 29295, 97518, 78183, 76947, 13153, 31431, 80195, 76947, 61689, 9174, 38641, 105879, 111476, 113404, 56051, 99695, 33710, 102741, 96452, 30512, 116690, 30046, 20230, 55999, 19361, 15024, 5486, 64121, 103171, 29295, 112361, 112169, 30512, 70141, 102532, 103130, 109315, 104466, 39926, 122765, 123207, 26854, 31431, 107515, 9174, 61826, 108680, 123680, 102639, 28713, 108526, 108941, 67075, 77386, 119775, 123011, 107436, 32977, 104712, 38641, 15024, 5486, 121995, 29295, 50928, 37689, 127303, 104984, 77693, 108005, 121, 16995, 113679, 16144, 121995, 30512, 110240, 102532, 123488, 108005, 121, 47884, 120837, 104712, 106046, 61689, 9174, 46034, 38574, 15682, 99849, 72661, 104712, 105879, 36896, 115690, 5486, 108895, 95604, 17792, 101832, 76864, 102677, 25197, 126989, 29295, 85300, 100, 47884, 101200, 5486, 78183, 107277, 126172, 47884, 109544, 33208, 39926, 122765, 104533, 103424, 117201, 109954, 9174, 13177, 109544, 33208, 66383, 95604, 105104, 30297, 20230, 102181, 50834, 79721, 29295, 111476, 99849, 123772, 33503, 83799, 117084, 102532, 5486, 74482, 55031, 123927, 104196, 100472, 31431, 104817, 43167, 108608, 105933, 121894, 116446, 33334, 126145, 126521, 38641, 1811, 116718, 15682, 74482, 43032, 78434, 29295, 5486, 99695, 33710, 102741, 96452, 15682, 127637, 113404, 56051, 74482, 5486, 23187, 23538, 112535, 123927, 104196, 31431, 117824, 16995, 5486, 21601, 116882, 9458, 23951, 37656, 117824, 30297, 105908, 57903, 33541, 1811, 38641, 105879, 117119, 123772, 33503, 45923, 123283, 73590, 20230, 108618, 39926, 33334, 126145, 5486, 123470, 103768, 11883, 29295, 105465, 115717, 33541, 1811, 111971, 23538, 112535, 39850, 108304, 123410, 198, 127637, 99695, 33710, 102741, 96452, 30512, 113404, 120837, 5486, 9039, 8107, 74482, 102052, 108152, 38248, 114, 115247, 104654, 103826, 29430, 32977, 119448, 47884, 104721, 116547, 33541, 15024, 5486, 6109, 116229, 30512, 107740, 54926, 108152, 38248, 114, 11972, 114050, 32977, 124500, 76947, 109749, 32149, 110241, 33121, 107515, 9174, 108152, 38248, 114, 11972, 15682, 40053, 20230, 89753, 91875, 9554, 103195, 106592, 104611, 103892, 20230, 22324, 50834, 5486, 23187, 23538, 112535, 113404, 56051, 99695, 33710, 102741, 96452, 104088, 74245, 15024, 5486, 100818, 234, 45893, 23951, 37656, 54926, 105908, 27384, 102769, 38641, 9174, 53900, 5486, 66378, 20230, 15, 52118, 16, 16556, 6109, 125175, 30512, 118013, 109415, 30369, 39177, 104309, 15682, 111476, 119869, 20230, 101067, 23187, 107113, 99695, 33710, 102741, 96452, 19732, 5486, 103350, 104983, 20230, 6109, 125175, 30512, 107740, 39926, 124089, 108152, 38248, 114, 11972, 66201, 19732, 29295, 108901, 109020, 107803, 32977, 43240, 47884, 5486, 103768, 11883, 107809, 16556, 99695, 33710, 102741, 96452, 30512, 119448, 47884, 100818, 234, 45893, 23951, 37656, 54926, 115789, 57903, 33541, 9174, 998, 33, 16144, 126513, 108695, 99695, 33710, 102741, 96452, 32977, 113404, 54926, 198, 998, 34, 16144, 6109, 60868, 113649, 117718, 126513, 47307, 38248, 110, 67075, 108152, 38248, 114, 115247, 99695, 33710, 102741, 96452, 116771, 30512, 113404, 126693, 27384, 33014, 4012, 119627, 111476, 998, 33, 16144, 6109, 60868, 113649, 117718, 107803, 106116, 108695, 16144, 101275, 104091, 71289, 106581, 5486, 126913, 112919, 34048, 113112, 71289, 112607, 48249, 104309, 102083, 100472, 31634, 63212, 29295, 119448, 47884, 116690, 39926, 50834, 33541, 9174, 27452, 116285, 16325, 45144, 227, 106045, 54872, 16144, 108695, 20230, 112900, 30512, 122626, 54926, 7650, 116229, 126694, 104533, 26854, 100472, 107803, 5486, 112900, 124905, 30297, 104468, 61337, 32943, 16556, 121101, 123410, 37087, 61337, 102351, 119627, 106116, 102404, 26130, 15682, 110022, 102781, 34048, 16144, 126913, 30046, 29295, 123011, 107436, 23039, 16995, 5486, 106613, 22649, 20230, 102782, 109311, 39926, 106382, 11883, 30512, 20834, 120837, 33503, 30297, 32149, 110241, 33121, 107515, 9174, 58426, 107803, 5486, 7650, 116229, 102052, 112900, 16144, 117039, 71289, 118347, 48552, 121142, 103470, 5486, 61337, 32943, 24615, 253, 104760, 15024, 126172, 16995, 101200, 91774, 108882, 102181, 30512, 114225, 117158, 72342, 115926, 5486, 108446, 25446, 109853, 99397, 16995, 114146, 108608, 105933, 2327, 14, 13706, 113404, 29295, 109215, 108176, 123253, 9174, 114387, 32149, 25827, 100204, 16556, 111476, 998, 33, 15682, 998, 34, 19732, 121953, 5486, 108695, 16144, 115517, 30512, 78698, 101557, 106, 21105, 103, 118145, 26854, 31431, 107515, 9174, 38641, 105879, 108152, 38248, 114, 25005, 248, 33710, 102741, 96452, 19732, 115963, 20230, 108695, 99695, 33710, 102741, 96452, 32977, 113404, 15024, 5486, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 30512, 108167, 112959, 47884, 117501, 37087, 33014, 30512, 11743, 107, 104921, 108, 54926, 105908, 57903, 33541, 9174, 99695, 33710, 102741, 96452, 113404, 16144, 46034, 110480, 198, 110382, 126328, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 125344, 46034, 110480, 109853, 43032, 103854, 100481, 50834, 33541, 9174, 109416, 47884, 29295, 108064, 32977, 71289, 103836, 46034, 110480, 119627, 115847, 29295, 37656, 50338, 5486, 102677, 113334, 72661, 100604, 105879, 5486, 121846, 113314, 126365, 111243, 33503, 58942, 104984, 106046, 61689, 9174, 111681, 104482, 16144, 88356, 114140, 198, 126843, 15682, 111681, 104482, 16144, 88356, 114140, 30512, 78434, 9174, 6109, 116229, 126694, 30369, 39177, 5486, 55723, 28190, 2327, 16144, 23226, 23951, 117824, 30297, 39177, 5486, 110924, 102052, 59614, 101860, 50338, 104662, 56051, 16995, 111681, 104482, 29295, 48706, 78434, 9174, 58426, 111681, 104482, 30512, 50338, 104662, 119607, 114267, 110018, 5486, 47307, 38248, 110, 67075, 117408, 125231, 108152, 38248, 114, 11972, 15682, 112832, 26854, 104865, 5486, 30512, 114140, 78434, 9174, 68408, 103988, 25197, 118567, 198, 126913, 30046, 198, 107803, 113468, 15682, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 29295, 17, 59739, 71689, 108176, 107803, 32977, 57903, 33541, 109807, 104983, 15682, 108152, 38248, 114, 11972, 30512, 115303, 123011, 62004, 117657, 16144, 126194, 5486, 16, 59739, 101860, 59739, 99695, 33710, 102741, 96452, 126694, 13153, 39926, 36896, 108895, 95604, 17792, 19732, 108895, 95604, 114754, 102532, 5486, 110176, 30046, 20230, 110456, 30813, 30369, 105933, 102923, 105226, 120937, 32149, 66383, 95604, 105104, 30297, 20230, 113727, 100481, 50834, 33541, 1811, 108477, 123, 112984, 9458, 106596, 198, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 29295, 114140, 103082, 127567, 111476, 118116, 46034, 51330, 112909, 33655, 76947, 58426, 108152, 38248, 114, 115247, 113679, 66201, 30512, 121200, 31958, 20230, 109768, 50834, 33541, 9174, 109416, 47884, 29295, 106596, 117824, 30297, 104983, 15682, 110745, 33014, 17297, 61304, 46034, 25333, 107809, 55031, 127749, 20230, 106608, 100204, 100481, 47884, 59739, 32149, 70563, 48552, 122060, 127145, 9174, 14783, 39880, 96452, 37823, 103906, 29220, 22398, 198, 10110, 17663, 16556, 20230, 116229, 107407, 107803, 7705, 102321, 103397, 5486, 116229, 32943, 16556, 67645, 120950, 39880, 122131, 30512, 19732, 103836, 32149, 29295, 78183, 117295, 9174, 14783, 60868, 113335, 109713, 102741, 64178, 198, 10110, 17663, 16556, 20230, 116229, 107407, 107803, 7705, 102321, 103397, 5486, 67645, 120950, 62903, 25005, 107, 65575, 111800, 52084, 16556, 116229, 20230, 89753, 17701, 103792, 104865, 29295, 78183, 117295, 9174, 107461, 84477, 68759, 103830, 103223, 64178, 198, 10110, 17663, 16556, 20230, 116229, 107407, 107803, 7705, 102321, 103397, 5486, 116229, 32943, 16556, 67645, 120950, 39880, 122131, 30512, 19732, 103836, 32149, 29295, 78183, 117295, 1811, 44971, 47260, 114228, 57183, 94550, 121432, 107407, 19732, 105755, 55723, 28190, 16144, 33655, 16995, 24273, 29295, 78183, 117295, 9174, 48622, 5486, 99397, 16995, 114146, 106596, 198, 10110, 17663, 16556, 20230, 116229, 107407, 107803, 7705, 102321, 103397, 5486, 116229, 20230, 67645, 120950, 99397, 16995, 114146, 29295, 37507, 100934, 32149, 5486, 67645, 120950, 29220, 44971, 103202, 29295, 17701, 76947, 50834, 100934, 32149, 5486, 101427, 122, 70141, 71289, 25132, 108, 116310, 116499, 78183, 117295, 9174, 14783, 20251, 44971, 102860, 5486, 62903, 25005, 107, 65575, 57326, 93488, 118567, 198, 101083, 107809, 108936, 112535, 5486, 14783, 16556, 67645, 103171, 62903, 25005, 107, 65575, 16556, 111800, 52084, 103792, 104865, 106116, 103672, 37823, 72369, 103202, 71289, 101427, 122, 70141, 29295, 78183, 117295, 9174, 114300, 40862, 125175, 106596, 103223, 64178, 10110, 35502, 2984, 104309, 23954, 114300, 40862, 116229, 16556, 67645, 120950, 62903, 25005, 107, 65575, 16556, 89753, 17701, 39926, 50834, 100934, 32149, 29295, 78183, 107277, 5486, 108152, 38248, 114, 115247, 37689, 48915, 26854, 111800, 52084, 123120, 30512, 102404, 91774, 103082, 115926, 54926, 1811, 90620, 15024, 103223, 64178, 107740, 107898, 35330, 29295, 32149, 117295, 103846, 5486, 103911, 70203, 107407, 107803, 20230, 48249, 110071, 9174, 124773, 91482, 109496, 198, 6109, 116229, 16144, 107740, 30046, 71289, 5486, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 20230, 60358, 16995, 17792, 20230, 109467, 87177, 30512, 104655, 47884, 1811, 102987, 47884, 37689, 91774, 30512, 104655, 102334, 31431, 5486, 124858, 99750, 30512, 112391, 18655, 30369, 105908, 108608, 198, 113164, 102663, 84477, 198, 6109, 116229, 16144, 107740, 30046, 71289, 5486, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 20230, 60358, 16995, 17792, 20230, 109467, 113164, 102663, 84477, 30512, 18655, 30369, 1811, 43240, 119064, 17792, 20230, 104655, 102532, 101427, 122, 70141, 110162, 30512, 102178, 111665, 108608, 9174, 50, 2507, 116696, 48552, 198, 55, 10110, 110298, 103223, 25197, 26269, 102514, 7705, 71289, 76171, 105335, 104309, 16556, 108152, 38248, 114, 11972, 29295, 67645, 120950, 99750, 101067, 116825, 104369, 71289, 119188, 32149, 5486, 67645, 103171, 112391, 124911, 26854, 104865, 29295, 78183, 117295, 9174, 2675, 51, 30970, 116696, 48552, 198, 10110, 101182, 113314, 108152, 38248, 114, 115247, 113679, 66201, 29295, 91774, 107290, 105898, 126101, 7705, 58426, 46034, 16144, 2675, 51, 30970, 29295, 107991, 107803, 107407, 105879, 108048, 104088, 104533, 105755, 113679, 66201, 71289, 102616, 114181, 30512, 112391, 18655, 30369, 105908, 108608, 9174, 99695, 33710, 102741, 96452, 30512, 112810, 20230, 123011, 107436, 64121, 30369, 198, 104873, 112984, 9458, 106596, 30512, 103350, 102923, 109768, 47884, 117591, 20230, 5486, 38574, 104680, 19732, 108152, 38248, 114, 115247, 25197, 126989, 29295, 121200, 31958, 117084, 50834, 33541, 9174, 110382, 16556, 112810, 19732, 99695, 16073, 30512, 11883, 37689, 15024, 5486, 78183, 32149, 121118, 100909, 71289, 121200, 31958, 117084, 105898, 108152, 38248, 114, 11972, 66201, 30512, 102181, 50834, 20834, 39926, 64121, 33541, 9174, 110382, 77181, 100990, 118, 114758, 20230, 123011, 109315, 109215, 15682, 103470, 114318, 112649, 47884, 103892, 117083, 106592, 102181, 50834, 121406, 72661, 126521, 38641, 15024, 5486, 121995, 71289, 111629, 30512, 110240, 102532, 64121, 30369, 72661, 126521, 38641, 9174, 51330, 19967, 101275, 29295, 37689, 48915, 19732, 27384, 30926, 16556, 5486, 102181, 50834, 20834, 39926, 64121, 104533, 103892, 107809, 29295, 64531, 22649, 116216, 113727, 29295, 123011, 17129, 76947, 50834, 33541, 15024, 5486, 91774, 102936, 103306, 102334, 100909, 71289, 17039, 28713, 26854, 102404, 91774, 117158, 11589, 95, 30297, 115789, 57903, 33541, 9174, 109544, 33208, 198, 110382, 103296, 37507, 104984, 99695, 33710, 102741, 96452, 113404, 16144, 74090, 55038, 15682, 102717, 109416, 61648, 127145, 123405, 107118, 77693, 30512, 78183, 107277, 126172, 47884, 109544, 20230, 102936, 19732, 15024, 104526, 104004, 103378, 38641, 9174, 109544, 33208, 54926, 104983, 15682, 5486, 109020, 103854, 47884, 16, 109577, 16144, 22398, 102803, 45923, 20230, 123011, 62004, 104533, 103424, 117201, 109954, 9174, 106596, 16556, 17620, 102518, 106592, 16995, 85791, 16995, 85791, 19732, 102181, 105898, 47884, 109020, 95221, 69978, 86614, 78183, 107277, 33541, 29295, 5486, 109544, 33208, 16144, 113173, 15682, 198, 13177, 116690, 30046, 20230, 122908, 39880, 39926, 104736, 109375, 30512, 105156, 15120, 54926, 100909, 66383, 45631, 74482, 55031, 123927, 104196, 31431, 126172, 16995, 121894, 116446, 33334, 47884, 100909, 10646, 20230, 57903, 33541, 9174, 38641, 105879, 5486, 109020, 103854, 47884, 2243, 109, 104043, 91774, 16556, 78183, 107277, 126172, 47884, 5486, 40452, 15024, 126172, 16995, 121894, 116446, 33334, 47884, 105908, 103192, 17129, 102800, 38641, 9174, 109544, 20230, 123011, 109315, 104983, 15682, 5486, 99695, 33710, 102741, 96452, 16144, 57933, 108969, 44971, 84477, 30512, 38129, 54926, 78699, 17129, 47884, 123011, 115464, 123253, 1811, 14783, 16556, 13177, 99695, 33710, 102741, 96452, 113545, 108969, 44971, 84477, 66383, 111800, 52084, 120837, 20834, 38144, 50834, 33541, 15024, 5486, 82705, 72290, 124905, 103836, 24273, 127303, 104984, 82705, 29295, 122401, 56051, 13177, 14404, 2541, 66383, 95604, 125540, 41758, 76171, 30512, 17701, 104028, 19732, 5486, 99695, 33710, 102741, 96452, 16144, 57933, 108969, 44971, 84477, 30512, 108064, 72661, 33655, 30297, 105908, 108608, 101200, 115717, 33541, 1811, 5000, 68408, 126590, 9458, 2327, 14, 13706, 68408, 126590, 20230, 104405, 76706, 11883, 109768, 47884, 32149, 95532, 30813, 38144, 5486, 99695, 33710, 102741, 96452, 113404, 30512, 33035, 39926, 47307, 38248, 110, 67075, 108152, 38248, 114, 115247, 25197, 126989, 29295, 107188, 31431, 121200, 31958, 110276, 33503, 81219, 115515, 27479, 15682, 77693, 30512, 6109, 68408, 126590, 9458, 2327, 14, 13706, 68408, 126590, 20230, 76706, 11883, 109768, 50834, 33541, 9174, 13177, 76706, 11883, 66383, 16995, 114598, 27384, 56051, 109335, 103470, 38144, 5486, 110904, 116254, 20230, 198, 13177, 58426, 99695, 33710, 102741, 96452, 30512, 100818, 116, 116446, 68408, 126590, 30512, 78698, 107290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5486, 50834, 43514, 127842, 13153, 28873, 125334, 33541, 9174, 109416, 47884, 32977, 108152, 38248, 114, 11972, 106596, 30512, 62004, 104702, 62004, 104702, 125338, 66953, 96452, 115247, 107167, 76739, 25197, 103906, 52884, 30512, 122489, 56051, 106613, 111186, 115991, 33541, 29295, 5486, 107167, 48552, 96455, 29295, 16, 13, 20, 93, 17, 13, 15, 98406, 120264, 23226, 106594, 116216, 115003, 231, 67016, 100472, 61304, 125534, 115991, 33541, 9174, 64121, 103171, 29295, 78183, 117295, 83799, 20230, 102936, 19732, 15024, 104526, 104004, 198, 6109, 116229, 15682, 6109, 68408, 103988, 25197, 118567, 5486, 2327, 14, 13706, 68408, 103988, 25197, 118567, 103378, 16144, 102944, 126194, 5486, 112167, 101275, 71289, 76739, 123581, 114676, 5486, 103857, 44971, 29220, 102514, 5486, 106613, 112167, 30046, 114050, 104309, 5486, 103826, 104680, 26854, 116690, 30046, 29295, 97518, 78183, 76947, 13153, 31431, 80195, 76947, 61689, 9174, 38641, 105879, 111476, 113404, 56051, 99695, 33710, 102741, 96452, 30512, 116690, 30046, 20230, 55999, 19361, 15024, 5486, 64121, 103171, 29295, 112361, 112169, 30512, 70141, 102532, 103130, 109315, 104466, 39926, 122765, 123207, 26854, 31431, 107515, 9174, 61826, 108680, 123680, 102639, 28713, 108526, 108941, 67075, 77386, 119775, 123011, 107436, 32977, 104712, 38641, 15024, 5486, 121995, 29295, 50928, 37689, 127303, 104984, 77693, 108005, 121, 16995, 113679, 16144, 121995, 30512, 110240, 102532, 123488, 108005, 121, 47884, 120837, 104712, 106046, 61689, 9174, 46034, 38574, 15682, 99849, 72661, 104712, 105879, 36896, 115690, 5486, 108895, 95604, 17792, 101832, 76864, 102677, 25197, 126989, 29295, 85300, 100, 47884, 101200, 5486, 78183, 107277, 126172, 47884, 109544, 33208, 39926, 122765, 104533, 103424, 117201, 109954, 9174, 13177, 109544, 33208, 66383, 95604, 105104, 30297, 20230, 102181, 50834, 79721, 29295, 111476, 99849, 123772, 33503, 83799, 117084, 102532, 5486, 74482, 55031, 123927, 104196, 100472, 31431, 104817, 43167, 108608, 105933, 121894, 116446, 33334, 126145, 126521, 38641, 1811, 116718, 15682, 74482, 43032, 78434, 29295, 5486, 99695, 33710, 102741, 96452, 15682, 127637, 113404, 56051, 74482, 5486, 23187, 23538, 112535, 123927, 104196, 31431, 117824, 16995, 5486, 21601, 116882, 9458, 23951, 37656, 117824, 30297, 105908, 57903, 33541, 1811, 38641, 105879, 117119, 123772, 33503, 45923, 123283, 73590, 20230, 108618, 39926, 33334, 126145, 5486, 123470, 103768, 11883, 29295, 105465, 115717, 33541, 1811, 111971, 23538, 112535, 39850, 108304, 123410, 198, 127637, 99695, 33710, 102741, 96452, 30512, 113404, 120837, 5486, 9039, 8107, 74482, 102052, 108152, 38248, 114, 115247, 104654, 103826, 29430, 32977, 119448, 47884, 104721, 116547, 33541, 15024, 5486, 6109, 116229, 30512, 107740, 54926, 108152, 38248, 114, 11972, 114050, 32977, 124500, 76947, 109749, 32149, 110241, 33121, 107515, 9174, 108152, 38248, 114, 11972, 15682, 40053, 20230, 89753, 91875, 9554, 103195, 106592, 104611, 103892, 20230, 22324, 50834, 5486, 23187, 23538, 112535, 113404, 56051, 99695, 33710, 102741, 96452, 104088, 74245, 15024, 5486, 100818, 234, 45893, 23951, 37656, 54926, 105908, 27384, 102769, 38641, 9174, 53900, 5486, 66378, 20230, 15, 52118, 16, 16556, 6109, 125175, 30512, 118013, 109415, 30369, 39177, 104309, 15682, 111476, 119869, 20230, 101067, 23187, 107113, 99695, 33710, 102741, 96452, 19732, 5486, 103350, 104983, 20230, 6109, 125175, 30512, 107740, 39926, 124089, 108152, 38248, 114, 11972, 66201, 19732, 29295, 108901, 109020, 107803, 32977, 43240, 47884, 5486, 103768, 11883, 107809, 16556, 99695, 33710, 102741, 96452, 30512, 119448, 47884, 100818, 234, 45893, 23951, 37656, 54926, 115789, 57903, 33541, 9174, 998, 33, 16144, 126513, 108695, 99695, 33710, 102741, 96452, 32977, 113404, 54926, 198, 998, 34, 16144, 6109, 60868, 113649, 117718, 126513, 47307, 38248, 110, 67075, 108152, 38248, 114, 115247, 99695, 33710, 102741, 96452, 116771, 30512, 113404, 126693, 27384, 33014, 4012, 119627, 111476, 998, 33, 16144, 6109, 60868, 113649, 117718, 107803, 106116, 108695, 16144, 101275, 104091, 71289, 106581, 5486, 126913, 112919, 34048, 113112, 71289, 112607, 48249, 104309, 102083, 100472, 31634, 63212, 29295, 119448, 47884, 116690, 39926, 50834, 33541, 9174, 27452, 116285, 16325, 45144, 227, 106045, 54872, 16144, 108695, 20230, 112900, 30512, 122626, 54926, 7650, 116229, 126694, 104533, 26854, 100472, 107803, 5486, 112900, 124905, 30297, 104468, 61337, 32943, 16556, 121101, 123410, 37087, 61337, 102351, 119627, 106116, 102404, 26130, 15682, 110022, 102781, 34048, 16144, 126913, 30046, 29295, 123011, 107436, 23039, 16995, 5486, 106613, 22649, 20230, 102782, 109311, 39926, 106382, 11883, 30512, 20834, 120837, 33503, 30297, 32149, 110241, 33121, 107515, 9174, 58426, 107803, 5486, 7650, 116229, 102052, 112900, 16144, 117039, 71289, 118347, 48552, 121142, 103470, 5486, 61337, 32943, 24615, 253, 104760, 15024, 126172, 16995, 101200, 91774, 108882, 102181, 30512, 114225, 117158, 72342, 115926, 5486, 108446, 25446, 109853, 99397, 16995, 114146, 108608, 105933, 2327, 14, 13706, 113404, 29295, 109215, 108176, 123253, 9174, 114387, 32149, 25827, 100204, 16556, 111476, 998, 33, 15682, 998, 34, 19732, 121953, 5486, 108695, 16144, 115517, 30512, 78698, 101557, 106, 21105, 103, 118145, 26854, 31431, 107515, 9174, 38641, 105879, 108152, 38248, 114, 25005, 248, 33710, 102741, 96452, 19732, 115963, 20230, 108695, 99695, 33710, 102741, 96452, 32977, 113404, 15024, 5486, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 30512, 108167, 112959, 47884, 117501, 37087, 33014, 30512, 11743, 107, 104921, 108, 54926, 105908, 57903, 33541, 9174, 99695, 33710, 102741, 96452, 113404, 16144, 46034, 110480, 198, 110382, 126328, 99695, 33710, 102741, 96452, 30512, 113404, 54926, 125344, 46034, 110480, 109853, 43032, 103854, 100481, 50834, 33541, 9174, 109416, 47884, 29295, 108064, 32977, 71289, 103836, 46034, 110480, 119627, 115847, 29295, 37656, 50338, 5486, 102677, 113334, 72661, 100604, 105879, 5486, 121846, 113314, 126365, 111243, 33503, 58942, 104984, 106046, 61689, 9174, 111681, 104482, 16144, 88356, 114140, 198, 126843, 15682, 111681, 104482, 16144, 88356, 114140, 30512, 78434, 9174, 6109, 116229, 126694, 30369, 39177, 5486, 55723, 28190, 2327, 16144, 23226, 23951, 117824, 30297, 39177, 5486, 110924, 102052, 59614, 101860, 50338, 104662, 56051, 16995, 111681, 104482, 29295, 48706, 78434, 9174, 58426, 111681, 104482, 30512, 50338, 104662, 119607, 114267, 110018, 5486, 47307, 38248, 110, 67075, 117408, 125231, 108152, 38248, 114, 11972, 15682, 112832, 26854, 104865, 5486, 30512, 114140, 78434, 9174, 68408, 103988, 25197, 118567, 198, 126913, 30046, 198, 107803, 113468, 15682, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 29295, 17, 59739, 71689, 108176, 107803, 32977, 57903, 33541, 109807, 104983, 15682, 108152, 38248, 114, 11972, 30512, 115303, 123011, 62004, 117657, 16144, 126194, 5486, 16, 59739, 101860, 59739, 99695, 33710, 102741, 96452, 126694, 13153, 39926, 36896, 108895, 95604, 17792, 19732, 108895, 95604, 114754, 102532, 5486, 110176, 30046, 20230, 110456, 30813, 30369, 105933, 102923, 105226, 120937, 32149, 66383, 95604, 105104, 30297, 20230, 113727, 100481, 50834, 33541, 1811, 108477, 123, 112984, 9458, 106596, 198, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 29295, 114140, 103082, 127567, 111476, 118116, 46034, 51330, 112909, 33655, 76947, 58426, 108152, 38248, 114, 115247, 113679, 66201, 30512, 121200, 31958, 20230, 109768, 50834, 33541, 9174, 109416, 47884, 29295, 106596, 117824, 30297, 104983, 15682, 110745, 33014, 17297, 61304, 46034, 25333, 107809, 55031, 127749, 20230, 106608, 100204, 100481, 47884, 59739, 32149, 70563, 48552, 122060, 127145, 9174, 14783, 39880, 96452, 37823, 103906, 29220, 22398, 198, 10110, 17663, 16556, 20230, 116229, 107407, 107803, 7705, 102321, 103397, 5486, 116229, 32943, 16556, 67645, 120950, 39880, 122131, 30512, 19732, 103836, 32149, 29295, 78183, 117295, 9174, 14783, 60868, 113335, 109713, 102741, 64178, 198, 10110, 17663, 16556, 20230, 116229, 107407, 107803, 7705, 102321, 103397, 5486, 67645, 120950, 62903, 25005, 107, 65575, 111800, 52084, 16556, 116229, 20230, 89753, 17701, 103792, 104865, 29295, 78183, 117295, 9174, 107461, 84477, 68759, 103830, 103223, 64178, 198, 10110, 17663, 16556, 20230, 116229, 107407, 107803, 7705, 102321, 103397, 5486, 116229, 32943, 16556, 67645, 120950, 39880, 122131, 30512, 19732, 103836, 32149, 29295, 78183, 117295, 1811, 44971, 47260, 114228, 57183, 94550, 121432, 107407, 19732, 105755, 55723, 28190, 16144, 33655, 16995, 24273, 29295, 78183, 117295, 9174, 48622, 5486, 99397, 16995, 114146, 106596, 198, 10110, 17663, 16556, 20230, 116229, 107407, 107803, 7705, 102321, 103397, 5486, 116229, 20230, 67645, 120950, 99397, 16995, 114146, 29295, 37507, 100934, 32149, 5486, 67645, 120950, 29220, 44971, 103202, 29295, 17701, 76947, 50834, 100934, 32149, 5486, 101427, 122, 70141, 71289, 25132, 108, 116310, 116499, 78183, 117295, 9174, 14783, 20251, 44971, 102860, 5486, 62903, 25005, 107, 65575, 57326, 93488, 118567, 198, 101083, 107809, 108936, 112535, 5486, 14783, 16556, 67645, 103171, 62903, 25005, 107, 65575, 16556, 111800, 52084, 103792, 104865, 106116, 103672, 37823, 72369, 103202, 71289, 101427, 122, 70141, 29295, 78183, 117295, 9174, 114300, 40862, 125175, 106596, 103223, 64178, 10110, 35502, 2984, 104309, 23954, 114300, 40862, 116229, 16556, 67645, 120950, 62903, 25005, 107, 65575, 16556, 89753, 17701, 39926, 50834, 100934, 32149, 29295, 78183, 107277, 5486, 108152, 38248, 114, 115247, 37689, 48915, 26854, 111800, 52084, 123120, 30512, 102404, 91774, 103082, 115926, 54926, 1811, 90620, 15024, 103223, 64178, 107740, 107898, 35330, 29295, 32149, 117295, 103846, 5486, 103911, 70203, 107407, 107803, 20230, 48249, 110071, 9174, 124773, 91482, 109496, 198, 6109, 116229, 16144, 107740, 30046, 71289, 5486, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 20230, 60358, 16995, 17792, 20230, 109467, 87177, 30512, 104655, 47884, 1811, 102987, 47884, 37689, 91774, 30512, 104655, 102334, 31431, 5486, 124858, 99750, 30512, 112391, 18655, 30369, 105908, 108608, 198, 113164, 102663, 84477, 198, 6109, 116229, 16144, 107740, 30046, 71289, 5486, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 20230, 60358, 16995, 17792, 20230, 109467, 113164, 102663, 84477, 30512, 18655, 30369, 1811, 43240, 119064, 17792, 20230, 104655, 102532, 101427, 122, 70141, 110162, 30512, 102178, 111665, 108608, 9174, 50, 2507, 116696, 48552, 198, 55, 10110, 110298, 103223, 25197, 26269, 102514, 7705, 71289, 76171, 105335, 104309, 16556, 108152, 38248, 114, 11972, 29295, 67645, 120950, 99750, 101067, 116825, 104369, 71289, 119188, 32149, 5486, 67645, 103171, 112391, 124911, 26854, 104865, 29295, 78183, 117295, 9174, 2675, 51, 30970, 116696, 48552, 198, 10110, 101182, 113314, 108152, 38248, 114, 115247, 113679, 66201, 29295, 91774, 107290, 105898, 126101, 7705, 58426, 46034, 16144, 2675, 51, 30970, 29295, 107991, 107803, 107407, 105879, 108048, 104088, 104533, 105755, 113679, 66201, 71289, 102616, 114181, 30512, 112391, 18655, 30369, 105908, 108608, 9174, 99695, 33710, 102741, 96452, 30512, 112810, 20230, 123011, 107436, 64121, 30369, 198, 104873, 112984, 9458, 106596, 30512, 103350, 102923, 109768, 47884, 117591, 20230, 5486, 38574, 104680, 19732, 108152, 38248, 114, 115247, 25197, 126989, 29295, 121200, 31958, 117084, 50834, 33541, 9174, 110382, 16556, 112810, 19732, 99695, 16073, 30512, 11883, 37689, 15024, 5486, 78183, 32149, 121118, 100909, 71289, 121200, 31958, 117084, 105898, 108152, 38248, 114, 11972, 66201, 30512, 102181, 50834, 20834, 39926, 64121, 33541, 9174, 110382, 77181, 100990, 118, 114758, 20230, 123011, 109315, 109215, 15682, 103470, 114318, 112649, 47884, 103892, 117083, 106592, 102181, 50834, 121406, 72661, 126521, 38641, 15024, 5486, 121995, 71289, 111629, 30512, 110240, 102532, 64121, 30369, 72661, 126521, 38641, 9174, 51330, 19967, 101275, 29295, 37689, 48915, 19732, 27384, 30926, 16556, 5486, 102181, 50834, 20834, 39926, 64121, 104533, 103892, 107809, 29295, 64531, 22649, 116216, 113727, 29295, 123011, 17129, 76947, 50834, 33541, 15024, 5486, 91774, 102936, 103306, 102334, 100909, 71289, 17039, 28713, 26854, 102404, 91774, 117158, 11589, 95, 30297, 115789, 57903, 33541, 9174, 109544, 33208, 198, 110382, 103296, 37507, 104984, 99695, 33710, 102741, 96452, 113404, 16144, 74090, 55038, 15682, 102717, 109416, 61648, 127145, 123405, 107118, 77693, 30512, 78183, 107277, 126172, 47884, 109544, 20230, 102936, 19732, 15024, 104526, 104004, 103378, 38641, 9174, 109544, 33208, 54926, 104983, 15682, 5486, 109020, 103854, 47884, 16, 109577, 16144, 22398, 102803, 45923, 20230, 123011, 62004, 104533, 103424, 117201, 109954, 9174, 106596, 16556, 17620, 102518, 106592, 16995, 85791, 16995, 85791, 19732, 102181, 105898, 47884, 109020, 95221, 69978, 86614, 78183, 107277, 33541, 29295, 5486, 109544, 33208, 16144, 113173, 15682, 198, 13177, 116690, 30046, 20230, 122908, 39880, 39926, 104736, 109375, 30512, 105156, 15120, 54926, 100909, 66383, 45631, 74482, 55031, 123927, 104196, 31431, 126172, 16995, 121894, 116446, 33334, 47884, 100909, 10646, 20230, 57903, 33541, 9174, 38641, 105879, 5486, 109020, 103854, 47884, 2243, 109, 104043, 91774, 16556, 78183, 107277, 126172, 47884, 5486, 40452, 15024, 126172, 16995, 121894, 116446, 33334, 47884, 105908, 103192, 17129, 102800, 38641, 9174, 109544, 20230, 123011, 109315, 104983, 15682, 5486, 99695, 33710, 102741, 96452, 16144, 57933, 108969, 44971, 84477, 30512, 38129, 54926, 78699, 17129, 47884, 123011, 115464, 123253, 1811, 14783, 16556, 13177, 99695, 33710, 102741, 96452, 113545, 108969, 44971, 84477, 66383, 111800, 52084, 120837, 20834, 38144, 50834, 33541, 15024, 5486, 82705, 72290, 124905, 103836, 24273, 127303, 104984, 82705, 29295, 122401, 56051, 13177, 14404, 2541, 66383, 95604, 125540, 41758, 76171, 30512, 17701, 104028, 19732, 5486, 99695, 33710, 102741, 96452, 16144, 57933, 108969, 44971, 84477, 30512, 108064, 72661, 33655, 30297, 105908, 108608, 101200, 115717, 33541, 1811, 5000, 68408, 126590, 9458, 2327, 14, 13706, 68408, 126590, 20230, 104405, 76706, 11883, 109768, 47884, 32149, 95532, 30813, 38144, 5486, 99695, 33710, 102741, 96452, 113404, 30512, 33035, 39926, 47307, 38248, 110, 67075, 108152, 38248, 114, 115247, 25197, 126989, 29295, 107188, 31431, 121200, 31958, 110276, 33503, 81219, 115515, 27479, 15682, 77693, 30512, 6109, 68408, 126590, 9458, 2327, 14, 13706, 68408, 126590, 20230, 76706, 11883, 109768, 50834, 33541, 9174, 13177, 76706, 11883, 66383, 16995, 114598, 27384, 56051, 109335, 103470, 38144, 5486, 110904, 116254, 20230, 198, 13177, 58426, 99695, 33710, 102741, 96452, 30512, 100818, 116, 116446, 68408, 126590, 30512, 78698, 107290 ]
[ 64121, 30369, 66383, 95604, 120266, 107542, 50834, 33541, 9174, 27452, 116285, 110577, 25359, 116229, 16144, 2327, 68408, 126590, 23226, 23951, 127303, 104984, 5486, 105994, 29295, 58426, 99695, 33710, 102741, 96452, 115717, 50834, 76947, 103350, 104983, 20230, 6109, 116229, 124905, 16995, 2327, 68408, 126590, 30512, 107624, 95001, 39926, 64121, 30369, 16144, 72661, 103424, 117201, 109954, 9174, 53900, 121453, 106045, 20230, 12852, 126694, 30369, 105879, 30591, 104984, 106116, 99695, 33710, 102741, 96452, 30512, 25197, 126989, 21105, 103, 29295, 33503, 70563, 114483, 44971, 71634, 16556, 121846, 68408, 126590, 30512, 78256, 223, 31431, 5486, 91482, 115478, 107908, 68408, 126590, 16144, 112169, 34171, 30512, 107608, 62004, 100481, 119064, 72661, 126521, 106046, 61689, 9174, 6708, 236, 105352, 64936, 105352, 111476, 51330, 13177, 99695, 33710, 102741, 96452, 30512, 37689, 109375, 21105, 103, 29295, 33503, 68408, 126590, 54926, 66383, 95604, 105908, 19732, 111243, 27384, 102769, 38641, 9174, 85701, 112212, 5486, 6109, 68408, 126590, 5486, 2327, 14, 13706, 68408, 126590, 30512, 105755, 108152, 38248, 114, 112694, 102439, 125913, 26854, 57903, 24273, 117657, 105908, 103082, 5486, 105994, 36668, 114181, 16144, 68408, 126590, 55031, 110645, 105368, 54926, 105908, 125545, 9174, 108031, 114715, 119870, 64121, 104526, 104004, 19732, 110371, 13177, 99695, 33710, 102741, 96452, 30512, 37689, 109375, 21105, 103, 29295, 33503, 68408, 126590, 118587, 56051, 123090, 111476, 13177, 126920, 99695, 33710, 102741, 96452, 20230, 58426, 68408, 126590, 29295, 110456, 30813, 103836, 104865, 91006, 16144, 8239, 114503, 111800, 110322, 117824, 100472, 31431, 78434, 118844, 15682, 99695, 33710, 102741, 96452, 20230, 60358, 16995, 17792, 20230, 19967, 100472, 68408, 126590, 104088, 111243, 33503, 100472, 31431, 5486, 107420, 20251, 117809, 57933, 71634, 126198, 31431, 5486, 103350, 104983, 20230, 116229, 20230, 121298, 39926, 1905, 57933, 71634, 117824, 26854, 100472, 31431, 78434, 1811, 45631, 108152, 38248, 114, 112694, 102439, 125913, 26854, 6109, 68408, 126590, 5486, 2327, 14, 13706, 68408, 126590, 66383, 95604, 104468, 112825, 110904, 20230, 103350, 102321, 108608, 102944, 77181, 124897, 1811, 67016, 21105, 241, 30297, 56051, 99695, 33710, 102741, 96452, 113404, 71289, 8239, 114503, 111800, 110322, 30512, 30590, 45893, 20230, 71289, 31431, 106307, 105784, 118733, 5486, 83747, 21105, 248, 59739, 108152, 38248, 114, 112694, 102439, 125913, 26854, 121894, 20230, 69978, 107462, 50834, 33541, 1811, 102131, 56051, 16325, 16556, 5486, 126101, 108152, 38248, 114, 11972, 20230, 66953, 57207, 26269, 19732, 110456, 30813, 30369, 107167, 76739, 25197, 103906, 52884, 30512, 20834, 72342, 28713, 39177, 15682, 5486, 126920, 108152, 38248, 114, 115247, 123120, 29295, 119448, 47884, 104721, 116547, 33541, 15024, 5486, 16519, 16144, 111134, 52591, 110162, 32977, 111923, 101832, 115442, 31431, 33541, 118844, 29295, 28190, 101828, 117714, 38641, 1811, 220, 123011, 62004, 21370, 248, 33710, 102741, 96452, 15682, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 30512, 116718, 20230, 25197, 126989, 56051, 102944, 16144, 100909, 1811, 21370, 248, 33710, 102741, 96452, 15682, 6109, 68408, 103988, 25197, 118567, 5486, 2327, 14, 13706, 68408, 103988, 25197, 118567, 29295, 113404, 54926, 105908, 127181, 1811, 112031, 112649, 47884, 118116, 46034, 51330, 112909, 33655, 76947, 108152, 38248, 114, 115247, 106592, 102987, 47884, 53283, 30369, 105908, 27384, 30926, 6447, 80539, 99695, 33710, 102741, 96452, 30512, 100818, 116, 20230, 68408, 126590, 30512, 113727, 100481, 47884, 105908, 27384, 30926, 106609, 71689, 16556, 99695, 33710, 102741, 96452, 112197, 87177, 15682, 33334, 103801, 16995, 38641, 6447, 128001, 128000, 112073, 98369, 1811, 87641, 43514, 78183, 1811, 44, 878, 1294, 38879, 26001, 105469, 58911, 57326, 108744, 16144, 68759, 117163, 38641, 9174, 37271, 18904, 32977, 25580, 18904, 20230, 113801, 106307, 50834, 5486, 11144, 8445, 1971, 33, 2913, 11199, 47260, 114228, 16144, 120098, 109853, 48154, 126362, 109768, 105898, 16995, 106046, 61689, 9174, 11144, 26072, 18, 5232, 105140, 108005, 121, 16995, 39135, 103868, 76947, 11571, 112479, 126843, 15682, 5486, 25580, 18904, 42016, 103826, 39135, 50021, 108476, 20230, 120955, 120837, 110706, 17129, 109954, 9174, 112073, 98369, 32977, 25197, 126989, 29295, 59739, 47884, 107118, 91763, 61689, 29295, 5486, 105140, 15682, 11144, 117759, 39135, 11199, 19732, 127173, 104028, 103271, 55031, 103271, 100783, 239, 112649, 107441, 16144, 39135, 30512, 102832, 61398, 20230, 55487, 39135, 29295, 23039, 126832, 105908, 127181, 38641, 1811, 17905, 61304, 16144, 39135, 50021, 108476, 127303, 104984, 5486, 78659, 7741, 250, 62004, 17297, 16, 14, 19, 30591, 28713, 111331, 23964, 229, 32938, 121711, 33541, 9174, 77181, 5486, 117759, 39135, 39276, 30512, 104356, 20230, 47260, 114228, 57183, 102750, 84477, 39926, 64121, 17129, 109954, 9174, 118544, 29295, 123253, 32149, 11571, 105140, 114420, 126976, 71289, 107188, 55487, 39135, 125651, 9174, 77181, 5486, 33671, 20230, 47260, 78459, 32131, 16144, 47260, 114228, 57183, 102750, 84477, 30512, 48154, 111182, 72315, 9174, 117896, 16144, 47260, 114228, 57183, 102750, 84477, 104468, 111476, 12, 122119, 113821, 5232, 119744, 110101, 115691, 198, 12, 106030, 68581, 103223, 5232, 111090, 103672, 102540, 198, 12, 112084, 25197, 5232, 44971, 105404, 39276, 68759, 33710, 78459, 71634, 102803, 57326, 198, 12, 110138, 119495, 5232, 103672, 123186, 11972, 198, 102083, 100472, 55487, 39135, 115717, 33541, 1811, 119869, 20230, 120955, 56051, 39135, 50021, 108476, 120938, 103268, 17620, 16144, 116898, 78183, 106644, 30369, 11144, 118937, 39135, 39276, 11199, 33655, 76947, 47260, 114228, 57183, 102750, 84477, 127145, 1811, 55487, 39135, 66953, 119930, 15682, 109161, 47884, 100604, 16144, 119627, 5486, 119852, 114732, 19732, 11144, 105140, 108005, 121, 47884, 100604, 11199, 102677, 32149, 5486, 120065, 88399, 239, 107202, 102800, 25197, 126989, 125651, 9174, 32977, 43514, 85791, 25827, 5486, 127298, 109904, 87177, 16556, 103350, 104983, 16144, 33014, 99750, 126287, 29295, 115442, 30369, 113334, 77181, 124897, 15024, 5486, 32977, 107173, 19732, 109657, 71289, 90962, 111999, 76428, 102083, 100472, 118937, 39135, 39276, 16144, 39135, 103868, 119279, 120111, 102677, 24273, 32977, 43240, 47884, 16995, 33503, 42891, 116826, 104533, 91763, 61689, 9174, 77181, 5486, 47260, 78459, 32131, 16144, 47260, 114228, 57183, 102750, 84477, 112987, 32149, 29295, 123253, 32149, 95532, 117896, 16144, 47260, 114228, 57183, 102750, 84477, 15682, 111476, 12, 122119, 113821, 5232, 70563, 116099, 198, 12, 106030, 68581, 103223, 5232, 70563, 116099, 198, 12, 112084, 25197, 5232, 39880, 103988, 104612, 10110, 109657, 108005, 121, 16995, 80805, 107610, 33710, 7705, 39276, 68759, 33710, 78459, 71634, 102803, 57326, 198, 12, 110138, 119495, 5232, 103927, 124958, 198, 102083, 100472, 55487, 39135, 115717, 33541, 1811, 20251, 103830, 22398, 15682, 44971, 105404, 102832, 61398, 16144, 55487, 39135, 119627, 5486, 30813, 50834, 108680, 16144, 103826, 26854, 88399, 239, 107202, 21105, 243, 120937, 106046, 61689, 9174, 105140, 75267, 20230, 5486, 109657, 71289, 90962, 111999, 76428, 123160, 118937, 39135, 39276, 30512, 108167, 17701, 103468, 16995, 39177, 15682, 5486, 116213, 62004, 16144, 20251, 107060, 20230, 126693, 5486, 117355, 30813, 125334, 38144, 66953, 119930, 29295, 108167, 126172, 16995, 38641, 9174, 77693, 77181, 5486, 1163, 977, 18, 16144, 123011, 62004, 38641, 9174, 118075, 122526, 75267, 15682, 112193, 11972, 30512, 104356, 114267, 11144, 117759, 39135, 39276, 11199, 16144, 47260, 114228, 57183, 102750, 84477, 119279, 22398, 22398, 39850, 1811, 220, 119560, 113204, 244, 39135, 39276, 30512, 108167, 17701, 103468, 118145, 5486, 116213, 62004, 16144, 20251, 107060, 127303, 104984, 66953, 119930, 29295, 108167, 126172, 16995, 9174, 77693, 77181, 115515, 18904, 15682, 110382, 103296, 121711, 33541, 1811, 33671, 18904, 15682, 5486, 101828, 9458, 111199, 9458, 41758, 110494, 102083, 100472, 102494, 101335, 20251, 107060, 16144, 108167, 121247, 16995, 109853, 5486, 48154, 126362, 107726, 100481, 90620, 50834, 33541, 109900, 77181, 5486, 53900, 33334, 38093, 16995, 103801, 109954, 1811, 128001, 128000, 37271, 18904, 15682, 88356, 102321, 34171, 16144, 101182, 91482, 76428, 102750, 22398, 123410, 41007, 76947, 30926, 16556, 33334, 108044, 58942, 56051, 16995, 106046, 61689, 9174, 88356, 102321, 34171, 29295, 43568, 118145, 24615, 120, 16995, 36785, 103306, 32977, 17129, 104699, 33121, 40265, 115926, 16556, 105721, 78183, 76947, 114732, 117735, 38641, 123794, 9174, 26854, 105879, 5486, 24615, 120, 105557, 106307, 105784, 101399, 20230, 17129, 104699, 33121, 40265, 115926, 16556, 105721, 78183, 110104, 101399, 20230, 88356, 102321, 34171, 16144, 101182, 91482, 76428, 102750, 22398, 30512, 67645, 119775, 127564, 108608, 126469, 30926, 126130, 108044, 58942, 109768, 50834, 33541, 9174, 120098, 15682, 34617, 59739, 57903, 33541, 9174, 12, 125606, 101860, 64209, 32977, 103892, 32977, 29220, 64178, 116446, 33334, 47884, 76947, 30926, 9174, 12, 220, 17, 59739, 30832, 15682, 33710, 113335, 16073, 33208, 54926, 76947, 30926, 9174, 12, 220, 18, 59739, 30832, 15682, 122984, 54926, 76947, 95604, 30926, 38641, 9174, 115303, 59739, 115303, 59739, 33334, 108044, 58942, 78434, 101832, 9174, 567, 125606, 101860, 16, 59739, 30832, 5486, 64209, 32977, 103892, 32977, 29220, 64178, 116446, 33334, 47884, 198, 127091, 18655, 73686, 30512, 27452, 116285, 54926, 126101, 58426, 18655, 73686, 29295, 104712, 102944, 26854, 104865, 5486, 109161, 16995, 102944, 26854, 104865, 115847, 30512, 122225, 54926, 30926, 29295, 109215, 38641, 123794, 9174, 122225, 54926, 39177, 76947, 95604, 104468, 32977, 43514, 85791, 25827, 39135, 103171, 119526, 104088, 38144, 122225, 54926, 117735, 38641, 9174, 120007, 19732, 87177, 30512, 39926, 22023, 117943, 108608, 17792, 32149, 104405, 32149, 11571, 76947, 95604, 123017, 114140, 54926, 109215, 115991, 33541, 123794, 9174, 72661, 51330, 126101, 64209, 20230, 89783, 116664, 29295, 43568, 102518, 31431, 112990, 5486, 120065, 104930, 119732, 26854, 108861, 1811, 106046, 106358, 103306, 32977, 5486, 114774, 114774, 5486, 107943, 30926, 120937, 9174, 50834, 104043, 51330, 17792, 103351, 33503, 27384, 121313, 36785, 107462, 76947, 105522, 247, 84389, 104702, 30297, 117735, 38641, 9174, 104446, 30591, 5486, 108156, 16144, 102616, 16556, 38641, 57980, 9174, 51330, 103842, 246, 120910, 103351, 33503, 101268, 110, 117295, 32149, 104405, 126469, 30926, 30512, 106142, 106353, 20230, 113727, 104533, 120065, 112997, 29220, 29295, 126574, 26854, 76947, 95604, 39177, 72661, 64209, 20230, 89783, 116664, 29295, 43568, 102518, 31431, 112990, 43568, 22649, 39926, 107691, 42891, 104702, 76947, 109972, 76622, 104702, 100472, 31431, 54926, 117735, 38641, 123794, 9174, 26854, 105879, 5486, 103892, 32977, 64209, 32977, 40053, 20230, 29220, 64178, 20230, 109768, 47884, 76947, 95604, 104468, 88356, 102321, 34171, 16144, 101182, 91482, 76428, 102750, 22398, 123410, 20230, 30591, 28713, 76947, 108008, 20230, 107693, 26854, 30926, 38641, 9174, 85701, 29295, 43568, 47884, 111243, 40265, 28713, 30369, 39177, 15682, 57903, 33541, 107493, 108048, 15682, 30591, 47884, 103296, 104971, 40265, 28713, 100472, 83354, 121142, 104971, 40265, 38144, 28713, 83354, 16144, 107118, 108010, 30297, 116233, 101832, 9174, 85701, 95221, 30512, 47000, 107441, 17297, 65316, 9174, 104446, 30591, 120953, 71289, 100472, 33503, 64209, 32977, 103892, 32977, 29220, 64178, 116446, 33334, 105784, 104865, 11571, 85701, 109853, 33334, 108044, 58942, 78434, 9174, 567, 115934, 32977, 103892, 32977, 29220, 64178, 116446, 33334, 47884, 102052, 95532, 51330, 120098, 76947, 95604, 104468, 33710, 113335, 16073, 33208, 38641, 9174, 105994, 29295, 67645, 120950, 46034, 110480, 16556, 117876, 30512, 109768, 47884, 104865, 9174, 85701, 30512, 33710, 113335, 16073, 33208, 54926, 117735, 125651, 9174, 118116, 102212, 79059, 16144, 25197, 78459, 117243, 115350, 15682, 39135, 103171, 32938, 16556, 33710, 113335, 16073, 33208, 127662, 110034, 112130, 9174, 79059, 75267, 109156, 76947, 67645, 16144, 110480, 87217, 16556, 115541, 108710, 30512, 39926, 5486, 106081, 40862, 103296, 16144, 56965, 99849, 30512, 39926, 5486, 106081, 40862, 29295, 27704, 117864, 33503, 99849, 30512, 39926, 5486, 66953, 26269, 47307, 125024, 107840, 109156, 107462, 47884, 103296, 16144, 123120, 125651, 9174, 115303, 59739, 115303, 59739, 33710, 113335, 16073, 33208, 103792, 117735, 38641, 9174, 16556, 5486, 33710, 113335, 16073, 33208, 112990, 99849, 29295, 104712, 126469, 95604, 19732, 5486, 78698, 105262, 48634, 110162, 64209, 16144, 76739, 124643, 104603, 11972, 76947, 95604, 104468, 31634, 54926, 20230, 76739, 124643, 104603, 11972, 26854, 117735, 26854, 104127, 5486, 33710, 113335, 16073, 33208, 54926, 100909, 113468, 43568, 102147, 226, 26854, 114115, 106382, 29295, 72718, 50834, 100604, 117735, 125651, 9174, 127091, 30512, 78698, 105262, 109215, 32977, 43568, 47884, 109020, 117735, 38641, 9174, 90620, 77693, 30512, 108064, 32977, 121640, 71289, 104984, 104712, 76947, 95604, 30926, 16556, 16995, 102204, 33541, 105879, 117119, 32149, 30512, 78698, 105262, 76739, 124643, 104603, 11972, 76947, 95604, 16144, 124905, 30297, 109215, 29295, 43568, 115737, 31431, 33541, 9174, 76739, 124643, 104603, 11972, 29295, 33014, 107809, 20230, 89783, 103836, 121894, 26854, 105879, 64209, 105352, 89783, 116664, 29295, 103082, 126172, 16995, 38641, 15024, 5486, 103892, 105352, 89783, 116664, 29295, 103082, 126172, 16995, 76947, 30926, 125651, 9174, 26854, 105879, 37271, 71289, 103836, 117876, 32977, 33710, 113335, 16073, 33208, 108608, 32938, 15682, 33710, 113335, 16073, 33208, 39926, 64121, 38144, 17297, 65316, 9174, 107167, 76739, 25197, 103906, 52884, 101983, 110104, 102083, 124324, 105494, 15682, 104405, 95604, 46034, 110480, 16556, 107167, 76739, 25197, 103906, 91482, 103906, 30512, 102404, 127327, 54926, 104865, 76947, 95604, 30926, 32977, 33710, 113335, 16073, 33208, 108608, 105494, 15682, 27384, 16995, 117083, 106046, 61689, 9174, 99849, 126101, 99849, 30512, 39926, 5486, 33671, 20230, 99849, 30512, 39926, 106116, 33671, 20230, 99849, 30512, 39926, 76947, 95604, 16144, 30512, 108608, 103378, 33710, 113335, 16073, 33208, 39926, 64121, 38144, 17297, 65316, 9174, 26854, 105879, 106116, 39177, 114556, 39926, 15682, 27452, 116285, 104930, 68759, 20251, 121944, 110362, 105047, 102924, 30512, 109948, 76622, 20230, 37507, 111243, 20834, 100604, 104699, 110706, 16144, 120208, 16556, 102334, 33503, 104712, 106046, 61689, 9174, 17129, 5486, 20834, 38144, 122765, 38144, 111654, 102800, 38641, 107493, 101832, 9174, 117384, 110162, 103351, 33503, 20834, 100604, 110162, 5486, 109933, 67075, 29295, 37507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64121, 30369, 66383, 95604, 120266, 107542, 50834, 33541, 9174, 27452, 116285, 110577, 25359, 116229, 16144, 2327, 68408, 126590, 23226, 23951, 127303, 104984, 5486, 105994, 29295, 58426, 99695, 33710, 102741, 96452, 115717, 50834, 76947, 103350, 104983, 20230, 6109, 116229, 124905, 16995, 2327, 68408, 126590, 30512, 107624, 95001, 39926, 64121, 30369, 16144, 72661, 103424, 117201, 109954, 9174, 53900, 121453, 106045, 20230, 12852, 126694, 30369, 105879, 30591, 104984, 106116, 99695, 33710, 102741, 96452, 30512, 25197, 126989, 21105, 103, 29295, 33503, 70563, 114483, 44971, 71634, 16556, 121846, 68408, 126590, 30512, 78256, 223, 31431, 5486, 91482, 115478, 107908, 68408, 126590, 16144, 112169, 34171, 30512, 107608, 62004, 100481, 119064, 72661, 126521, 106046, 61689, 9174, 6708, 236, 105352, 64936, 105352, 111476, 51330, 13177, 99695, 33710, 102741, 96452, 30512, 37689, 109375, 21105, 103, 29295, 33503, 68408, 126590, 54926, 66383, 95604, 105908, 19732, 111243, 27384, 102769, 38641, 9174, 85701, 112212, 5486, 6109, 68408, 126590, 5486, 2327, 14, 13706, 68408, 126590, 30512, 105755, 108152, 38248, 114, 112694, 102439, 125913, 26854, 57903, 24273, 117657, 105908, 103082, 5486, 105994, 36668, 114181, 16144, 68408, 126590, 55031, 110645, 105368, 54926, 105908, 125545, 9174, 108031, 114715, 119870, 64121, 104526, 104004, 19732, 110371, 13177, 99695, 33710, 102741, 96452, 30512, 37689, 109375, 21105, 103, 29295, 33503, 68408, 126590, 118587, 56051, 123090, 111476, 13177, 126920, 99695, 33710, 102741, 96452, 20230, 58426, 68408, 126590, 29295, 110456, 30813, 103836, 104865, 91006, 16144, 8239, 114503, 111800, 110322, 117824, 100472, 31431, 78434, 118844, 15682, 99695, 33710, 102741, 96452, 20230, 60358, 16995, 17792, 20230, 19967, 100472, 68408, 126590, 104088, 111243, 33503, 100472, 31431, 5486, 107420, 20251, 117809, 57933, 71634, 126198, 31431, 5486, 103350, 104983, 20230, 116229, 20230, 121298, 39926, 1905, 57933, 71634, 117824, 26854, 100472, 31431, 78434, 1811, 45631, 108152, 38248, 114, 112694, 102439, 125913, 26854, 6109, 68408, 126590, 5486, 2327, 14, 13706, 68408, 126590, 66383, 95604, 104468, 112825, 110904, 20230, 103350, 102321, 108608, 102944, 77181, 124897, 1811, 67016, 21105, 241, 30297, 56051, 99695, 33710, 102741, 96452, 113404, 71289, 8239, 114503, 111800, 110322, 30512, 30590, 45893, 20230, 71289, 31431, 106307, 105784, 118733, 5486, 83747, 21105, 248, 59739, 108152, 38248, 114, 112694, 102439, 125913, 26854, 121894, 20230, 69978, 107462, 50834, 33541, 1811, 102131, 56051, 16325, 16556, 5486, 126101, 108152, 38248, 114, 11972, 20230, 66953, 57207, 26269, 19732, 110456, 30813, 30369, 107167, 76739, 25197, 103906, 52884, 30512, 20834, 72342, 28713, 39177, 15682, 5486, 126920, 108152, 38248, 114, 115247, 123120, 29295, 119448, 47884, 104721, 116547, 33541, 15024, 5486, 16519, 16144, 111134, 52591, 110162, 32977, 111923, 101832, 115442, 31431, 33541, 118844, 29295, 28190, 101828, 117714, 38641, 1811, 220, 123011, 62004, 21370, 248, 33710, 102741, 96452, 15682, 47307, 38248, 110, 67075, 108152, 38248, 114, 11972, 30512, 116718, 20230, 25197, 126989, 56051, 102944, 16144, 100909, 1811, 21370, 248, 33710, 102741, 96452, 15682, 6109, 68408, 103988, 25197, 118567, 5486, 2327, 14, 13706, 68408, 103988, 25197, 118567, 29295, 113404, 54926, 105908, 127181, 1811, 112031, 112649, 47884, 118116, 46034, 51330, 112909, 33655, 76947, 108152, 38248, 114, 115247, 106592, 102987, 47884, 53283, 30369, 105908, 27384, 30926, 6447, 80539, 99695, 33710, 102741, 96452, 30512, 100818, 116, 20230, 68408, 126590, 30512, 113727, 100481, 47884, 105908, 27384, 30926, 106609, 71689, 16556, 99695, 33710, 102741, 96452, 112197, 87177, 15682, 33334, 103801, 16995, 38641, 6447, 128001, 128000, 112073, 98369, 1811, 87641, 43514, 78183, 1811, 44, 878, 1294, 38879, 26001, 105469, 58911, 57326, 108744, 16144, 68759, 117163, 38641, 9174, 37271, 18904, 32977, 25580, 18904, 20230, 113801, 106307, 50834, 5486, 11144, 8445, 1971, 33, 2913, 11199, 47260, 114228, 16144, 120098, 109853, 48154, 126362, 109768, 105898, 16995, 106046, 61689, 9174, 11144, 26072, 18, 5232, 105140, 108005, 121, 16995, 39135, 103868, 76947, 11571, 112479, 126843, 15682, 5486, 25580, 18904, 42016, 103826, 39135, 50021, 108476, 20230, 120955, 120837, 110706, 17129, 109954, 9174, 112073, 98369, 32977, 25197, 126989, 29295, 59739, 47884, 107118, 91763, 61689, 29295, 5486, 105140, 15682, 11144, 117759, 39135, 11199, 19732, 127173, 104028, 103271, 55031, 103271, 100783, 239, 112649, 107441, 16144, 39135, 30512, 102832, 61398, 20230, 55487, 39135, 29295, 23039, 126832, 105908, 127181, 38641, 1811, 17905, 61304, 16144, 39135, 50021, 108476, 127303, 104984, 5486, 78659, 7741, 250, 62004, 17297, 16, 14, 19, 30591, 28713, 111331, 23964, 229, 32938, 121711, 33541, 9174, 77181, 5486, 117759, 39135, 39276, 30512, 104356, 20230, 47260, 114228, 57183, 102750, 84477, 39926, 64121, 17129, 109954, 9174, 118544, 29295, 123253, 32149, 11571, 105140, 114420, 126976, 71289, 107188, 55487, 39135, 125651, 9174, 77181, 5486, 33671, 20230, 47260, 78459, 32131, 16144, 47260, 114228, 57183, 102750, 84477, 30512, 48154, 111182, 72315, 9174, 117896, 16144, 47260, 114228, 57183, 102750, 84477, 104468, 111476, 12, 122119, 113821, 5232, 119744, 110101, 115691, 198, 12, 106030, 68581, 103223, 5232, 111090, 103672, 102540, 198, 12, 112084, 25197, 5232, 44971, 105404, 39276, 68759, 33710, 78459, 71634, 102803, 57326, 198, 12, 110138, 119495, 5232, 103672, 123186, 11972, 198, 102083, 100472, 55487, 39135, 115717, 33541, 1811, 119869, 20230, 120955, 56051, 39135, 50021, 108476, 120938, 103268, 17620, 16144, 116898, 78183, 106644, 30369, 11144, 118937, 39135, 39276, 11199, 33655, 76947, 47260, 114228, 57183, 102750, 84477, 127145, 1811, 55487, 39135, 66953, 119930, 15682, 109161, 47884, 100604, 16144, 119627, 5486, 119852, 114732, 19732, 11144, 105140, 108005, 121, 47884, 100604, 11199, 102677, 32149, 5486, 120065, 88399, 239, 107202, 102800, 25197, 126989, 125651, 9174, 32977, 43514, 85791, 25827, 5486, 127298, 109904, 87177, 16556, 103350, 104983, 16144, 33014, 99750, 126287, 29295, 115442, 30369, 113334, 77181, 124897, 15024, 5486, 32977, 107173, 19732, 109657, 71289, 90962, 111999, 76428, 102083, 100472, 118937, 39135, 39276, 16144, 39135, 103868, 119279, 120111, 102677, 24273, 32977, 43240, 47884, 16995, 33503, 42891, 116826, 104533, 91763, 61689, 9174, 77181, 5486, 47260, 78459, 32131, 16144, 47260, 114228, 57183, 102750, 84477, 112987, 32149, 29295, 123253, 32149, 95532, 117896, 16144, 47260, 114228, 57183, 102750, 84477, 15682, 111476, 12, 122119, 113821, 5232, 70563, 116099, 198, 12, 106030, 68581, 103223, 5232, 70563, 116099, 198, 12, 112084, 25197, 5232, 39880, 103988, 104612, 10110, 109657, 108005, 121, 16995, 80805, 107610, 33710, 7705, 39276, 68759, 33710, 78459, 71634, 102803, 57326, 198, 12, 110138, 119495, 5232, 103927, 124958, 198, 102083, 100472, 55487, 39135, 115717, 33541, 1811, 20251, 103830, 22398, 15682, 44971, 105404, 102832, 61398, 16144, 55487, 39135, 119627, 5486, 30813, 50834, 108680, 16144, 103826, 26854, 88399, 239, 107202, 21105, 243, 120937, 106046, 61689, 9174, 105140, 75267, 20230, 5486, 109657, 71289, 90962, 111999, 76428, 123160, 118937, 39135, 39276, 30512, 108167, 17701, 103468, 16995, 39177, 15682, 5486, 116213, 62004, 16144, 20251, 107060, 20230, 126693, 5486, 117355, 30813, 125334, 38144, 66953, 119930, 29295, 108167, 126172, 16995, 38641, 9174, 77693, 77181, 5486, 1163, 977, 18, 16144, 123011, 62004, 38641, 9174, 118075, 122526, 75267, 15682, 112193, 11972, 30512, 104356, 114267, 11144, 117759, 39135, 39276, 11199, 16144, 47260, 114228, 57183, 102750, 84477, 119279, 22398, 22398, 39850, 1811, 220, 119560, 113204, 244, 39135, 39276, 30512, 108167, 17701, 103468, 118145, 5486, 116213, 62004, 16144, 20251, 107060, 127303, 104984, 66953, 119930, 29295, 108167, 126172, 16995, 9174, 77693, 77181, 115515, 18904, 15682, 110382, 103296, 121711, 33541, 1811, 33671, 18904, 15682, 5486, 101828, 9458, 111199, 9458, 41758, 110494, 102083, 100472, 102494, 101335, 20251, 107060, 16144, 108167, 121247, 16995, 109853, 5486, 48154, 126362, 107726, 100481, 90620, 50834, 33541, 109900, 77181, 5486, 53900, 33334, 38093, 16995, 103801, 109954, 1811, 128001, 128000, 37271, 18904, 15682, 88356, 102321, 34171, 16144, 101182, 91482, 76428, 102750, 22398, 123410, 41007, 76947, 30926, 16556, 33334, 108044, 58942, 56051, 16995, 106046, 61689, 9174, 88356, 102321, 34171, 29295, 43568, 118145, 24615, 120, 16995, 36785, 103306, 32977, 17129, 104699, 33121, 40265, 115926, 16556, 105721, 78183, 76947, 114732, 117735, 38641, 123794, 9174, 26854, 105879, 5486, 24615, 120, 105557, 106307, 105784, 101399, 20230, 17129, 104699, 33121, 40265, 115926, 16556, 105721, 78183, 110104, 101399, 20230, 88356, 102321, 34171, 16144, 101182, 91482, 76428, 102750, 22398, 30512, 67645, 119775, 127564, 108608, 126469, 30926, 126130, 108044, 58942, 109768, 50834, 33541, 9174, 120098, 15682, 34617, 59739, 57903, 33541, 9174, 12, 125606, 101860, 64209, 32977, 103892, 32977, 29220, 64178, 116446, 33334, 47884, 76947, 30926, 9174, 12, 220, 17, 59739, 30832, 15682, 33710, 113335, 16073, 33208, 54926, 76947, 30926, 9174, 12, 220, 18, 59739, 30832, 15682, 122984, 54926, 76947, 95604, 30926, 38641, 9174, 115303, 59739, 115303, 59739, 33334, 108044, 58942, 78434, 101832, 9174, 567, 125606, 101860, 16, 59739, 30832, 5486, 64209, 32977, 103892, 32977, 29220, 64178, 116446, 33334, 47884, 198, 127091, 18655, 73686, 30512, 27452, 116285, 54926, 126101, 58426, 18655, 73686, 29295, 104712, 102944, 26854, 104865, 5486, 109161, 16995, 102944, 26854, 104865, 115847, 30512, 122225, 54926, 30926, 29295, 109215, 38641, 123794, 9174, 122225, 54926, 39177, 76947, 95604, 104468, 32977, 43514, 85791, 25827, 39135, 103171, 119526, 104088, 38144, 122225, 54926, 117735, 38641, 9174, 120007, 19732, 87177, 30512, 39926, 22023, 117943, 108608, 17792, 32149, 104405, 32149, 11571, 76947, 95604, 123017, 114140, 54926, 109215, 115991, 33541, 123794, 9174, 72661, 51330, 126101, 64209, 20230, 89783, 116664, 29295, 43568, 102518, 31431, 112990, 5486, 120065, 104930, 119732, 26854, 108861, 1811, 106046, 106358, 103306, 32977, 5486, 114774, 114774, 5486, 107943, 30926, 120937, 9174, 50834, 104043, 51330, 17792, 103351, 33503, 27384, 121313, 36785, 107462, 76947, 105522, 247, 84389, 104702, 30297, 117735, 38641, 9174, 104446, 30591, 5486, 108156, 16144, 102616, 16556, 38641, 57980, 9174, 51330, 103842, 246, 120910, 103351, 33503, 101268, 110, 117295, 32149, 104405, 126469, 30926, 30512, 106142, 106353, 20230, 113727, 104533, 120065, 112997, 29220, 29295, 126574, 26854, 76947, 95604, 39177, 72661, 64209, 20230, 89783, 116664, 29295, 43568, 102518, 31431, 112990, 43568, 22649, 39926, 107691, 42891, 104702, 76947, 109972, 76622, 104702, 100472, 31431, 54926, 117735, 38641, 123794, 9174, 26854, 105879, 5486, 103892, 32977, 64209, 32977, 40053, 20230, 29220, 64178, 20230, 109768, 47884, 76947, 95604, 104468, 88356, 102321, 34171, 16144, 101182, 91482, 76428, 102750, 22398, 123410, 20230, 30591, 28713, 76947, 108008, 20230, 107693, 26854, 30926, 38641, 9174, 85701, 29295, 43568, 47884, 111243, 40265, 28713, 30369, 39177, 15682, 57903, 33541, 107493, 108048, 15682, 30591, 47884, 103296, 104971, 40265, 28713, 100472, 83354, 121142, 104971, 40265, 38144, 28713, 83354, 16144, 107118, 108010, 30297, 116233, 101832, 9174, 85701, 95221, 30512, 47000, 107441, 17297, 65316, 9174, 104446, 30591, 120953, 71289, 100472, 33503, 64209, 32977, 103892, 32977, 29220, 64178, 116446, 33334, 105784, 104865, 11571, 85701, 109853, 33334, 108044, 58942, 78434, 9174, 567, 115934, 32977, 103892, 32977, 29220, 64178, 116446, 33334, 47884, 102052, 95532, 51330, 120098, 76947, 95604, 104468, 33710, 113335, 16073, 33208, 38641, 9174, 105994, 29295, 67645, 120950, 46034, 110480, 16556, 117876, 30512, 109768, 47884, 104865, 9174, 85701, 30512, 33710, 113335, 16073, 33208, 54926, 117735, 125651, 9174, 118116, 102212, 79059, 16144, 25197, 78459, 117243, 115350, 15682, 39135, 103171, 32938, 16556, 33710, 113335, 16073, 33208, 127662, 110034, 112130, 9174, 79059, 75267, 109156, 76947, 67645, 16144, 110480, 87217, 16556, 115541, 108710, 30512, 39926, 5486, 106081, 40862, 103296, 16144, 56965, 99849, 30512, 39926, 5486, 106081, 40862, 29295, 27704, 117864, 33503, 99849, 30512, 39926, 5486, 66953, 26269, 47307, 125024, 107840, 109156, 107462, 47884, 103296, 16144, 123120, 125651, 9174, 115303, 59739, 115303, 59739, 33710, 113335, 16073, 33208, 103792, 117735, 38641, 9174, 16556, 5486, 33710, 113335, 16073, 33208, 112990, 99849, 29295, 104712, 126469, 95604, 19732, 5486, 78698, 105262, 48634, 110162, 64209, 16144, 76739, 124643, 104603, 11972, 76947, 95604, 104468, 31634, 54926, 20230, 76739, 124643, 104603, 11972, 26854, 117735, 26854, 104127, 5486, 33710, 113335, 16073, 33208, 54926, 100909, 113468, 43568, 102147, 226, 26854, 114115, 106382, 29295, 72718, 50834, 100604, 117735, 125651, 9174, 127091, 30512, 78698, 105262, 109215, 32977, 43568, 47884, 109020, 117735, 38641, 9174, 90620, 77693, 30512, 108064, 32977, 121640, 71289, 104984, 104712, 76947, 95604, 30926, 16556, 16995, 102204, 33541, 105879, 117119, 32149, 30512, 78698, 105262, 76739, 124643, 104603, 11972, 76947, 95604, 16144, 124905, 30297, 109215, 29295, 43568, 115737, 31431, 33541, 9174, 76739, 124643, 104603, 11972, 29295, 33014, 107809, 20230, 89783, 103836, 121894, 26854, 105879, 64209, 105352, 89783, 116664, 29295, 103082, 126172, 16995, 38641, 15024, 5486, 103892, 105352, 89783, 116664, 29295, 103082, 126172, 16995, 76947, 30926, 125651, 9174, 26854, 105879, 37271, 71289, 103836, 117876, 32977, 33710, 113335, 16073, 33208, 108608, 32938, 15682, 33710, 113335, 16073, 33208, 39926, 64121, 38144, 17297, 65316, 9174, 107167, 76739, 25197, 103906, 52884, 101983, 110104, 102083, 124324, 105494, 15682, 104405, 95604, 46034, 110480, 16556, 107167, 76739, 25197, 103906, 91482, 103906, 30512, 102404, 127327, 54926, 104865, 76947, 95604, 30926, 32977, 33710, 113335, 16073, 33208, 108608, 105494, 15682, 27384, 16995, 117083, 106046, 61689, 9174, 99849, 126101, 99849, 30512, 39926, 5486, 33671, 20230, 99849, 30512, 39926, 106116, 33671, 20230, 99849, 30512, 39926, 76947, 95604, 16144, 30512, 108608, 103378, 33710, 113335, 16073, 33208, 39926, 64121, 38144, 17297, 65316, 9174, 26854, 105879, 106116, 39177, 114556, 39926, 15682, 27452, 116285, 104930, 68759, 20251, 121944, 110362, 105047, 102924, 30512, 109948, 76622, 20230, 37507, 111243, 20834, 100604, 104699, 110706, 16144, 120208, 16556, 102334, 33503, 104712, 106046, 61689, 9174, 17129, 5486, 20834, 38144, 122765, 38144, 111654, 102800, 38641, 107493, 101832, 9174, 117384, 110162, 103351, 33503, 20834, 100604, 110162, 5486, 109933, 67075, 29295, 37507 ]
[ 111243, 106608, 119841, 19732, 121906, 95604, 59739, 123731, 16556, 125338, 64121, 38144, 17297, 65316, 9174, 18, 59739, 118322, 120098, 15682, 122984, 54926, 76947, 95604, 30926, 38641, 9174, 567, 108477, 105, 31958, 54926, 107118, 95532, 85701, 104405, 95604, 30926, 126469, 95604, 19732, 5486, 88356, 102321, 34171, 107407, 76947, 95604, 30926, 15682, 99849, 104604, 77693, 29295, 17905, 46034, 47884, 16995, 100472, 104865, 30512, 50834, 43514, 127842, 122984, 108608, 1811, 76947, 95604, 30926, 38641, 123794, 9174, 122984, 118765, 107493, 127091, 17905, 46034, 47884, 16995, 42891, 104702, 100472, 76947, 95604, 104468, 5486, 88356, 102321, 34171, 115991, 107515, 9174, 118687, 16144, 109606, 16556, 37656, 50338, 56051, 107462, 76947, 5486, 37656, 50338, 56051, 46034, 110480, 30512, 122984, 118765, 104127, 30591, 104984, 5486, 27929, 31431, 101668, 103899, 58942, 29295, 28713, 53900, 17129, 40862, 107462, 90620, 76622, 16556, 5486, 50338, 107674, 30926, 102052, 105110, 100604, 117735, 38641, 9174, 33671, 20230, 112361, 105933, 109606, 125334, 28713, 126101, 37271, 27479, 15682, 56965, 108010, 107290, 103801, 61689, 101832, 9174, 59739, 109709, 88356, 102321, 34171, 29295, 43568, 16995, 117735, 38641, 9174, 38641, 55031, 117119, 32149, 15120, 59739, 17905, 46034, 47884, 16995, 100472, 105879, 30591, 104984, 108048, 29295, 99849, 104604, 17905, 46034, 47884, 16995, 100472, 104865, 76947, 95604, 16144, 30512, 118789, 112535, 122984, 108608, 104466, 39926, 33334, 102532, 17297, 65316, 9174, 27929, 127564, 112361, 105933, 117876, 103351, 33503, 99849, 18904, 72661, 88356, 102321, 54926, 30926, 29295, 125545, 105879, 5486, 88356, 102321, 34171, 16144, 101182, 91482, 76428, 102750, 22398, 30512, 120321, 106307, 54926, 30926, 29295, 108608, 101200, 115717, 33541, 9174, 120098, 15682, 34617, 59739, 125651, 9174, 103892, 32977, 64209, 32977, 29220, 64178, 116446, 33334, 47884, 1811, 220, 58426, 101399, 20230, 108608, 103378, 33710, 113335, 16073, 33208, 54926, 1811, 220, 77693, 55031, 18, 59739, 30832, 29295, 17905, 46034, 47884, 16995, 100472, 30926, 5486, 17905, 46034, 47884, 118544, 104435, 30926, 15682, 122984, 108608, 104466, 54926, 198, 76947, 30926, 38641, 9174, 77693, 77181, 6447, 128001, 128000, 108936, 20230, 123141, 122401, 77181, 5486, 31634, 14558, 23187, 104577, 14, 113404, 104010, 121960, 19967, 13153, 56051, 45923, 123283, 73590, 30512, 76171, 57326, 67075, 103306, 122401, 9458, 105107, 67178, 117824, 61689, 1811, 15836, 9458, 101513, 109472, 48864, 108710, 111848, 45923, 123283, 73590, 113954, 5486, 121159, 124001, 57933, 71634, 126465, 19967, 13153, 16144, 115681, 33208, 16556, 107850, 109526, 235, 109904, 21990, 106518, 34171, 70141, 115442, 125494, 108608, 120266, 100815, 30832, 15024, 5486, 102473, 20230, 108167, 103214, 104127, 108086, 33541, 9174, 66378, 20230, 13870, 232, 61337, 77181, 115847, 103296, 102803, 52591, 57326, 93488, 78683, 94550, 57207, 119263, 44971, 38248, 115, 78205, 16073, 122282, 76739, 123581, 16073, 13177, 32500, 24778, 118587, 33035, 100204, 38144, 5486, 111738, 85188, 9458, 106222, 33563, 117126, 25333, 103507, 50667, 55031, 103826, 104680, 26854, 42634, 76428, 48552, 16144, 113404, 9458, 122401, 117824, 76947, 50834, 79721, 118844, 33503, 101544, 8107, 107517, 121118, 101335, 65299, 102040, 65299, 19732, 109683, 78244, 102158, 117120, 22649, 10110, 45, 12852, 7705, 112113, 30512, 11883, 102532, 25333, 103507, 17161, 102181, 30512, 50338, 98871, 15024, 5486, 57326, 77750, 32131, 91062, 19732, 113404, 45923, 123283, 73590, 30512, 115681, 45059, 54926, 108167, 103214, 64121, 117824, 76947, 61689, 118844, 112212, 25333, 103507, 23226, 37656, 16144, 117375, 114475, 105784, 122282, 102803, 110101, 37823, 16144, 23226, 116952, 19967, 101275, 16144, 126120, 96455, 33208, 19732, 21990, 106518, 34171, 16144, 70141, 17905, 30512, 84851, 103130, 78434, 9174, 109474, 32131, 102832, 122835, 107118, 5486, 17701, 48634, 32218, 113115, 39926, 109431, 102769, 26854, 32131, 102832, 114615, 32218, 30512, 84851, 23187, 15024, 5486, 47307, 41758, 30512, 47000, 58318, 54926, 101513, 109472, 48864, 108710, 16144, 46034, 25333, 38641, 1811, 40089, 17161, 16325, 16144, 122282, 42634, 76428, 48552, 16144, 31634, 72238, 117282, 105494, 10110, 76739, 126092, 103906, 7705, 30512, 84851, 23187, 15024, 5486, 32131, 102832, 122835, 78434, 9174, 14711, 63091, 61994, 78244, 102158, 117120, 22649, 112113, 16144, 126543, 30926, 27452, 198, 109683, 78244, 102158, 117120, 22649, 16144, 102473, 13153, 28873, 15682, 5486, 101513, 109472, 48864, 108710, 112113, 16144, 102404, 77413, 20230, 112183, 16995, 102097, 27479, 29295, 70141, 17905, 15024, 106307, 76622, 5486, 103826, 104680, 26854, 17620, 102212, 16556, 126543, 84389, 97518, 64209, 30512, 43167, 107436, 61689, 1811, 109683, 78244, 102158, 107118, 37046, 104680, 29295, 103572, 38574, 33655, 30297, 78244, 102158, 116787, 106116, 119526, 32977, 9080, 40053, 20230, 36117, 95, 115032, 103846, 5486, 96356, 60358, 116787, 106272, 106608, 11883, 119318, 116310, 15682, 108285, 47884, 110745, 112495, 125396, 30512, 109243, 107436, 61689, 9174, 118288, 37271, 5486, 2984, 14, 39880, 115507, 102663, 38248, 115, 78205, 16073, 114835, 121960, 37271, 103296, 71689, 20230, 68408, 126590, 16144, 107693, 27479, 29295, 115442, 76947, 50834, 38144, 108086, 33541, 9174, 122333, 21990, 106518, 122333, 33420, 106382, 16144, 80805, 102514, 16073, 29295, 19653, 15024, 20230, 47884, 115737, 121118, 112599, 16144, 117903, 16556, 108152, 38248, 114, 11972, 30512, 122635, 54926, 113009, 5486, 108152, 38248, 114, 11972, 113115, 39926, 118314, 100472, 108152, 38248, 114, 11972, 124773, 112694, 78349, 61398, 10110, 1502, 20620, 482, 3774, 7705, 30512, 104908, 54926, 103378, 77181, 114392, 26854, 103359, 105226, 107118, 78244, 58942, 123733, 76947, 50834, 79721, 109807, 103846, 5486, 108134, 113404, 71289, 121432, 102647, 23187, 123160, 108152, 38248, 114, 11972, 104356, 113404, 16144, 109215, 34171, 71289, 5486, 114300, 40862, 110792, 104364, 103283, 33208, 9458, 78683, 106240, 16144, 83601, 248, 72718, 104309, 91482, 76428, 102750, 22398, 28190, 113245, 109215, 34171, 104309, 5486, 109948, 76622, 106956, 108152, 38248, 114, 11972, 33014, 111186, 10110, 1502, 21460, 482, 62593, 7705, 30512, 31958, 105184, 117657, 102083, 100472, 103359, 105226, 32977, 32018, 62004, 110071, 101200, 117084, 50834, 38144, 108086, 33541, 119520, 115847, 112212, 113702, 112535, 43511, 77181, 33014, 111186, 118765, 105933, 19653, 54926, 107420, 99959, 110548, 107294, 26854, 102639, 30369, 105908, 88367, 117282, 16144, 38641, 9174, 13706, 15682, 125175, 9458, 107420, 99959, 110548, 30512, 33035, 100204, 5486, 108152, 38248, 114, 16144, 22656, 105284, 109904, 111681, 104482, 30512, 113954, 15024, 17039, 28713, 26854, 95001, 112603, 30512, 109832, 20834, 54926, 68408, 126590, 125456, 16144, 46034, 25333, 38641, 1811, 108152, 38248, 114, 16144, 32018, 62004, 100934, 100909, 5486, 111681, 104482, 99750, 5486, 115143, 102052, 112599, 107740, 16325, 16144, 108152, 38248, 114, 91875, 70141, 104873, 112984, 5486, 71634, 108744, 104873, 112984, 104309, 126198, 17905, 16556, 5486, 108152, 38248, 114, 11972, 29295, 107420, 99959, 110548, 20230, 55999, 99750, 108608, 105933, 33014, 111186, 30512, 23187, 104577, 15024, 5486, 2327, 20230, 102936, 19732, 15024, 104526, 104127, 16995, 47884, 102677, 112973, 27384, 112495, 89753, 33121, 115717, 33541, 1811, 108152, 38248, 114, 125030, 76947, 16144, 13177, 95001, 112603, 10646, 15682, 5486, 65917, 111629, 120950, 21, 118821, 107624, 95001, 31634, 72238, 16556, 106391, 13153, 84389, 115847, 33503, 107624, 95001, 31634, 72238, 30512, 17905, 46034, 47884, 2327, 17905, 20230, 83799, 20230, 109768, 47884, 105908, 107693, 26854, 68408, 126590, 107420, 64810, 22398, 117282, 123253, 9174, 13870, 232, 61337, 107898, 50834, 17129, 120837, 5486, 56350, 32, 33710, 107610, 64780, 10110, 65917, 111629, 126229, 7705, 111848, 124572, 108323, 111800, 110322, 5486, 124773, 91482, 109496, 5486, 104873, 112984, 106596, 25333, 5486, 107420, 20251, 107507, 70563, 94550, 50667, 5486, 102208, 104091, 123646, 103202, 102756, 105048, 30512, 125894, 33655, 39926, 5486, 108152, 38248, 114, 125030, 76947, 16144, 13177, 95001, 112603, 10646, 109832, 20834, 20230, 80631, 95, 112500, 54926, 13706, 75983, 68408, 126590, 107420, 64810, 22398, 20230, 108167, 103214, 104127, 61689, 9174, 64780, 114640, 122074, 54926, 124122, 65854, 114181, 109904, 108134, 110226, 43167, 10110, 4213, 13570, 8, 55031, 23039, 16995, 5486, 127749, 16144, 106596, 10110, 46, 13283, 65459, 127749, 106596, 20230, 75146, 109669, 102334, 114640, 122074, 7, 5005, 579, 121782, 103350, 23039, 124001, 124572, 108323, 111800, 110322, 10110, 2573, 7705, 117824, 61689, 1811, 23891, 5158, 120950, 23226, 106594, 30512, 113173, 114267, 107420, 64810, 22398, 116787, 5486, 13706, 75983, 68408, 126590, 107420, 64810, 117718, 104466, 99849, 117824, 78183, 100604, 102083, 124324, 32149, 31958, 105184, 16556, 100604, 107803, 77181, 5486, 56350, 32, 33710, 107610, 30512, 11883, 107991, 105908, 8239, 114503, 9554, 19732, 113727, 124195, 61689, 1811, 128001, 128000, 114654, 16556, 38093, 87177, 54926, 102052, 5486, 103983, 20230, 111134, 68759, 38248, 226, 102756, 65575, 30512, 53508, 231, 104195, 54926, 105908, 59614, 116156, 77195, 36785, 106046, 126832, 29295, 117119, 105755, 114654, 30512, 87177, 17663, 100909, 16144, 28037, 104067, 30832, 105888, 30512, 50834, 43514, 127842, 116700, 15024, 5486, 43568, 37689, 109375, 16144, 32943, 20230, 19967, 103836, 5486, 113116, 9554, 108502, 110426, 30512, 48915, 17663, 105908, 107693, 126529, 38641, 9174, 114652, 117952, 106824, 61689, 29295, 5486, 83947, 38093, 87177, 30512, 53508, 231, 104195, 54926, 103846, 102052, 115132, 114740, 114654, 5486, 114172, 102512, 16144, 101182, 25197, 104603, 112997, 5486, 90962, 125913, 32131, 104612, 114654, 123160, 21990, 37507, 114654, 30512, 87177, 103792, 17792, 71289, 5486, 114654, 16144, 38093, 87177, 30512, 5486, 118430, 118095, 20230, 33655, 30297, 17792, 19732, 43240, 47884, 38093, 87177, 54926, 100909, 38641, 9174, 77693, 33503, 106624, 83601, 233, 30369, 101399, 16144, 101335, 65299, 102040, 65299, 103306, 15682, 5486, 108270, 42634, 29295, 34617, 59739, 16556, 1041, 15, 102677, 110904, 25129, 20230, 109033, 70203, 39926, 36896, 931, 117503, 78659, 16144, 9039, 30512, 37656, 106624, 112844, 106592, 64209, 115856, 105784, 104466, 54926, 105908, 27384, 30926, 26854, 120098, 38641, 9174, 114654, 102677, 102944, 102052, 5486, 43240, 103826, 26854, 53508, 231, 104195, 39850, 102741, 105404, 115991, 33541, 29295, 5486, 37823, 70563, 117675, 94550, 76868, 5486, 95399, 30813, 30512, 31634, 54926, 105988, 45923, 65299, 76171, 41758, 5486, 103857, 29220, 57933, 38248, 115, 78205, 16073, 76868, 104309, 19732, 5486, 105268, 30046, 20230, 126909, 16144, 101182, 125559, 115173, 68759, 71289, 120366, 30512, 11883, 102334, 48864, 108710, 41007, 104309, 5486, 104983, 48249, 103470, 43240, 119064, 66953, 37823, 76739, 38248, 115, 78205, 16073, 115991, 33541, 9174, 13177, 83947, 38093, 87177, 16144, 108608, 29504, 120650, 47884, 66383, 32149, 13177, 48915, 29504, 107707, 98915, 17792, 126694, 30369, 66383, 32149, 13177, 120366, 30512, 114654, 16144, 110674, 114181, 104533, 32149, 5486, 104261, 113124, 29295, 114654, 16144, 104261, 71289, 118331, 61398, 120706, 30512, 114654, 16556, 103984, 36735, 112, 54926, 66383, 16995, 100472, 103826, 104680, 26854, 71289, 31431, 24273, 29295, 19361, 13372, 119627, 114318, 112649, 47884, 75146, 17920, 236, 109904, 110904, 102158, 30512, 1049, 15, 102159, 39607, 15682, 112854, 58942, 22957, 104004, 100909, 38641, 9174, 9080, 83947, 16144, 78244, 102158, 29295, 101067, 66201, 71689, 20230, 108901, 109020, 102944, 105110, 81219, 5486, 102321, 38574, 106090, 77181, 114950, 16144, 120328, 29504, 16556, 126120, 50834, 30832, 107407, 114654, 48864, 108710, 76868, 32977, 88356, 106391, 13153, 21105, 103, 16995, 19732, 123085, 17792, 11883, 103306, 15682, 8239, 114503, 29295, 115442, 112586, 47884, 16995, 101200, 36785, 9174, 114654, 16144, 102404, 79785, 102052, 5486, 107608, 19361, 16144, 79785, 42016, 101559, 16144, 116690, 107407, 102677, 106592, 37689, 109375, 127145, 32149, 113637, 30926, 27452, 30512, 112854, 58942, 126386, 19732, 5486, 124572, 20230, 112997, 78683, 94550, 30512, 43240, 47884, 22957, 26854, 120837, 5486, 37087, 38144, 104655, 50834, 18655, 30369, 105908, 110482, 111108, 126529, 38641, 9174, 37823, 114228, 57183, 94550, 16144, 44971, 26269, 22398, 16073, 19732, 110904, 102158, 16144, 66378, 120117, 127862, 118821, 53508, 231, 104195, 30512, 125702, 127397, 111587, 105823, 30369, 101200, 104309, 112384, 107173, 47000, 126660, 106592, 21105, 103, 117201, 5486, 110904, 102158, 102677, 105110, 17129, 30813, 20230, 110904, 102158, 103378, 30512, 61826, 20230, 61304, 125534, 54926, 112973, 57980, 16995, 9174, 114654, 16144, 17161, 25333, 120950, 53283, 109375, 9554, 112113, 30512, 45736, 109315, 103378, 77181, 5486, 114654, 16144, 38093, 87177, 15682, 102131, 102131, 118765, 1811, 104004, 15024, 85791, 5486, 114654, 16144, 55107, 10110, 125641, 53283, 27327, 127268, 7705, 30512, 45736, 109315, 24273, 29295, 5486, 114654, 124905, 16995, 22957, 26854, 17663, 113009, 112160, 87217, 124490, 32149, 17663, 105908, 118765, 102944, 118816, 102677, 105908, 102832, 61398, 101983, 103836, 83947, 38093, 87177, 100927, 102452, 115991, 33541, 9174, 114654, 124905, 16995, 106272, 13177, 101182, 106592, 48864, 104369, 66383, 5486, 90620, 16144, 114654, 108710, 50928, 126036, 107969, 16325, 39926, 5486, 48864, 108710, 108608, 126465, 107407, 123601, 17792, 125030, 76947, 5486, 109834, 103868, 114792, 103836, 108900, 110162, 5486, 117876, 29295, 33503, 64121, 16144, 102944, 109853, 5486, 118823, 104309, 16556, 91875, 55723, 30512, 106767, 15024, 18904, 76947, 64121, 101200, 9174, 118899, 127181, 5486, 83947, 38093, 87177, 71493, 111661, 102052, 5486, 109020, 28713, 76622, 43240, 119064, 18904, 9039, 23039, 105898, 16995, 102944, 36785, 1811, 107740, 42506, 15682, 5486, 20713, 82973, 40265, 115926, 34617, 125215, 27113, 35757, 120264, 29295, 115274, 121374, 116787, 108048, 116749, 20230, 23187, 23538, 38093, 106382, 71289, 17701, 101467, 42506, 29295, 59614, 116156, 26854, 107803, 32977, 101182, 9174, 13177, 43511, 17792, 55031, 104405, 91763, 126832, 32149, 29295, 95221, 108176, 15024, 5486, 48915, 29504, 102158, 76947, 95604, 121142, 110567, 74245, 39926, 114732, 66383, 95604, 123085, 17792, 66378, 19361, 20230, 19361, 54926, 110371, 105933, 41920, 118821, 13177, 113116, 109904, 114632, 104698, 118587, 108167, 48915, 17663, 121142, 116898, 78183, 106644, 30369, 114654, 15682, 28713, 126172, 47884, 108608, 101200, 108176, 102944, 36785, 9174, 38129, 108608, 104468, 114654, 103378, 102677, 107059, 22398, 102677, 102944, 15682, 123085, 102158, 55031, 114654, 110162, 5486, 114654, 55031, 102433, 102158, 102677, 111602, 117735, 54926 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 111243, 106608, 119841, 19732, 121906, 95604, 59739, 123731, 16556, 125338, 64121, 38144, 17297, 65316, 9174, 18, 59739, 118322, 120098, 15682, 122984, 54926, 76947, 95604, 30926, 38641, 9174, 567, 108477, 105, 31958, 54926, 107118, 95532, 85701, 104405, 95604, 30926, 126469, 95604, 19732, 5486, 88356, 102321, 34171, 107407, 76947, 95604, 30926, 15682, 99849, 104604, 77693, 29295, 17905, 46034, 47884, 16995, 100472, 104865, 30512, 50834, 43514, 127842, 122984, 108608, 1811, 76947, 95604, 30926, 38641, 123794, 9174, 122984, 118765, 107493, 127091, 17905, 46034, 47884, 16995, 42891, 104702, 100472, 76947, 95604, 104468, 5486, 88356, 102321, 34171, 115991, 107515, 9174, 118687, 16144, 109606, 16556, 37656, 50338, 56051, 107462, 76947, 5486, 37656, 50338, 56051, 46034, 110480, 30512, 122984, 118765, 104127, 30591, 104984, 5486, 27929, 31431, 101668, 103899, 58942, 29295, 28713, 53900, 17129, 40862, 107462, 90620, 76622, 16556, 5486, 50338, 107674, 30926, 102052, 105110, 100604, 117735, 38641, 9174, 33671, 20230, 112361, 105933, 109606, 125334, 28713, 126101, 37271, 27479, 15682, 56965, 108010, 107290, 103801, 61689, 101832, 9174, 59739, 109709, 88356, 102321, 34171, 29295, 43568, 16995, 117735, 38641, 9174, 38641, 55031, 117119, 32149, 15120, 59739, 17905, 46034, 47884, 16995, 100472, 105879, 30591, 104984, 108048, 29295, 99849, 104604, 17905, 46034, 47884, 16995, 100472, 104865, 76947, 95604, 16144, 30512, 118789, 112535, 122984, 108608, 104466, 39926, 33334, 102532, 17297, 65316, 9174, 27929, 127564, 112361, 105933, 117876, 103351, 33503, 99849, 18904, 72661, 88356, 102321, 54926, 30926, 29295, 125545, 105879, 5486, 88356, 102321, 34171, 16144, 101182, 91482, 76428, 102750, 22398, 30512, 120321, 106307, 54926, 30926, 29295, 108608, 101200, 115717, 33541, 9174, 120098, 15682, 34617, 59739, 125651, 9174, 103892, 32977, 64209, 32977, 29220, 64178, 116446, 33334, 47884, 1811, 220, 58426, 101399, 20230, 108608, 103378, 33710, 113335, 16073, 33208, 54926, 1811, 220, 77693, 55031, 18, 59739, 30832, 29295, 17905, 46034, 47884, 16995, 100472, 30926, 5486, 17905, 46034, 47884, 118544, 104435, 30926, 15682, 122984, 108608, 104466, 54926, 198, 76947, 30926, 38641, 9174, 77693, 77181, 6447, 128001, 128000, 108936, 20230, 123141, 122401, 77181, 5486, 31634, 14558, 23187, 104577, 14, 113404, 104010, 121960, 19967, 13153, 56051, 45923, 123283, 73590, 30512, 76171, 57326, 67075, 103306, 122401, 9458, 105107, 67178, 117824, 61689, 1811, 15836, 9458, 101513, 109472, 48864, 108710, 111848, 45923, 123283, 73590, 113954, 5486, 121159, 124001, 57933, 71634, 126465, 19967, 13153, 16144, 115681, 33208, 16556, 107850, 109526, 235, 109904, 21990, 106518, 34171, 70141, 115442, 125494, 108608, 120266, 100815, 30832, 15024, 5486, 102473, 20230, 108167, 103214, 104127, 108086, 33541, 9174, 66378, 20230, 13870, 232, 61337, 77181, 115847, 103296, 102803, 52591, 57326, 93488, 78683, 94550, 57207, 119263, 44971, 38248, 115, 78205, 16073, 122282, 76739, 123581, 16073, 13177, 32500, 24778, 118587, 33035, 100204, 38144, 5486, 111738, 85188, 9458, 106222, 33563, 117126, 25333, 103507, 50667, 55031, 103826, 104680, 26854, 42634, 76428, 48552, 16144, 113404, 9458, 122401, 117824, 76947, 50834, 79721, 118844, 33503, 101544, 8107, 107517, 121118, 101335, 65299, 102040, 65299, 19732, 109683, 78244, 102158, 117120, 22649, 10110, 45, 12852, 7705, 112113, 30512, 11883, 102532, 25333, 103507, 17161, 102181, 30512, 50338, 98871, 15024, 5486, 57326, 77750, 32131, 91062, 19732, 113404, 45923, 123283, 73590, 30512, 115681, 45059, 54926, 108167, 103214, 64121, 117824, 76947, 61689, 118844, 112212, 25333, 103507, 23226, 37656, 16144, 117375, 114475, 105784, 122282, 102803, 110101, 37823, 16144, 23226, 116952, 19967, 101275, 16144, 126120, 96455, 33208, 19732, 21990, 106518, 34171, 16144, 70141, 17905, 30512, 84851, 103130, 78434, 9174, 109474, 32131, 102832, 122835, 107118, 5486, 17701, 48634, 32218, 113115, 39926, 109431, 102769, 26854, 32131, 102832, 114615, 32218, 30512, 84851, 23187, 15024, 5486, 47307, 41758, 30512, 47000, 58318, 54926, 101513, 109472, 48864, 108710, 16144, 46034, 25333, 38641, 1811, 40089, 17161, 16325, 16144, 122282, 42634, 76428, 48552, 16144, 31634, 72238, 117282, 105494, 10110, 76739, 126092, 103906, 7705, 30512, 84851, 23187, 15024, 5486, 32131, 102832, 122835, 78434, 9174, 14711, 63091, 61994, 78244, 102158, 117120, 22649, 112113, 16144, 126543, 30926, 27452, 198, 109683, 78244, 102158, 117120, 22649, 16144, 102473, 13153, 28873, 15682, 5486, 101513, 109472, 48864, 108710, 112113, 16144, 102404, 77413, 20230, 112183, 16995, 102097, 27479, 29295, 70141, 17905, 15024, 106307, 76622, 5486, 103826, 104680, 26854, 17620, 102212, 16556, 126543, 84389, 97518, 64209, 30512, 43167, 107436, 61689, 1811, 109683, 78244, 102158, 107118, 37046, 104680, 29295, 103572, 38574, 33655, 30297, 78244, 102158, 116787, 106116, 119526, 32977, 9080, 40053, 20230, 36117, 95, 115032, 103846, 5486, 96356, 60358, 116787, 106272, 106608, 11883, 119318, 116310, 15682, 108285, 47884, 110745, 112495, 125396, 30512, 109243, 107436, 61689, 9174, 118288, 37271, 5486, 2984, 14, 39880, 115507, 102663, 38248, 115, 78205, 16073, 114835, 121960, 37271, 103296, 71689, 20230, 68408, 126590, 16144, 107693, 27479, 29295, 115442, 76947, 50834, 38144, 108086, 33541, 9174, 122333, 21990, 106518, 122333, 33420, 106382, 16144, 80805, 102514, 16073, 29295, 19653, 15024, 20230, 47884, 115737, 121118, 112599, 16144, 117903, 16556, 108152, 38248, 114, 11972, 30512, 122635, 54926, 113009, 5486, 108152, 38248, 114, 11972, 113115, 39926, 118314, 100472, 108152, 38248, 114, 11972, 124773, 112694, 78349, 61398, 10110, 1502, 20620, 482, 3774, 7705, 30512, 104908, 54926, 103378, 77181, 114392, 26854, 103359, 105226, 107118, 78244, 58942, 123733, 76947, 50834, 79721, 109807, 103846, 5486, 108134, 113404, 71289, 121432, 102647, 23187, 123160, 108152, 38248, 114, 11972, 104356, 113404, 16144, 109215, 34171, 71289, 5486, 114300, 40862, 110792, 104364, 103283, 33208, 9458, 78683, 106240, 16144, 83601, 248, 72718, 104309, 91482, 76428, 102750, 22398, 28190, 113245, 109215, 34171, 104309, 5486, 109948, 76622, 106956, 108152, 38248, 114, 11972, 33014, 111186, 10110, 1502, 21460, 482, 62593, 7705, 30512, 31958, 105184, 117657, 102083, 100472, 103359, 105226, 32977, 32018, 62004, 110071, 101200, 117084, 50834, 38144, 108086, 33541, 119520, 115847, 112212, 113702, 112535, 43511, 77181, 33014, 111186, 118765, 105933, 19653, 54926, 107420, 99959, 110548, 107294, 26854, 102639, 30369, 105908, 88367, 117282, 16144, 38641, 9174, 13706, 15682, 125175, 9458, 107420, 99959, 110548, 30512, 33035, 100204, 5486, 108152, 38248, 114, 16144, 22656, 105284, 109904, 111681, 104482, 30512, 113954, 15024, 17039, 28713, 26854, 95001, 112603, 30512, 109832, 20834, 54926, 68408, 126590, 125456, 16144, 46034, 25333, 38641, 1811, 108152, 38248, 114, 16144, 32018, 62004, 100934, 100909, 5486, 111681, 104482, 99750, 5486, 115143, 102052, 112599, 107740, 16325, 16144, 108152, 38248, 114, 91875, 70141, 104873, 112984, 5486, 71634, 108744, 104873, 112984, 104309, 126198, 17905, 16556, 5486, 108152, 38248, 114, 11972, 29295, 107420, 99959, 110548, 20230, 55999, 99750, 108608, 105933, 33014, 111186, 30512, 23187, 104577, 15024, 5486, 2327, 20230, 102936, 19732, 15024, 104526, 104127, 16995, 47884, 102677, 112973, 27384, 112495, 89753, 33121, 115717, 33541, 1811, 108152, 38248, 114, 125030, 76947, 16144, 13177, 95001, 112603, 10646, 15682, 5486, 65917, 111629, 120950, 21, 118821, 107624, 95001, 31634, 72238, 16556, 106391, 13153, 84389, 115847, 33503, 107624, 95001, 31634, 72238, 30512, 17905, 46034, 47884, 2327, 17905, 20230, 83799, 20230, 109768, 47884, 105908, 107693, 26854, 68408, 126590, 107420, 64810, 22398, 117282, 123253, 9174, 13870, 232, 61337, 107898, 50834, 17129, 120837, 5486, 56350, 32, 33710, 107610, 64780, 10110, 65917, 111629, 126229, 7705, 111848, 124572, 108323, 111800, 110322, 5486, 124773, 91482, 109496, 5486, 104873, 112984, 106596, 25333, 5486, 107420, 20251, 107507, 70563, 94550, 50667, 5486, 102208, 104091, 123646, 103202, 102756, 105048, 30512, 125894, 33655, 39926, 5486, 108152, 38248, 114, 125030, 76947, 16144, 13177, 95001, 112603, 10646, 109832, 20834, 20230, 80631, 95, 112500, 54926, 13706, 75983, 68408, 126590, 107420, 64810, 22398, 20230, 108167, 103214, 104127, 61689, 9174, 64780, 114640, 122074, 54926, 124122, 65854, 114181, 109904, 108134, 110226, 43167, 10110, 4213, 13570, 8, 55031, 23039, 16995, 5486, 127749, 16144, 106596, 10110, 46, 13283, 65459, 127749, 106596, 20230, 75146, 109669, 102334, 114640, 122074, 7, 5005, 579, 121782, 103350, 23039, 124001, 124572, 108323, 111800, 110322, 10110, 2573, 7705, 117824, 61689, 1811, 23891, 5158, 120950, 23226, 106594, 30512, 113173, 114267, 107420, 64810, 22398, 116787, 5486, 13706, 75983, 68408, 126590, 107420, 64810, 117718, 104466, 99849, 117824, 78183, 100604, 102083, 124324, 32149, 31958, 105184, 16556, 100604, 107803, 77181, 5486, 56350, 32, 33710, 107610, 30512, 11883, 107991, 105908, 8239, 114503, 9554, 19732, 113727, 124195, 61689, 1811, 128001, 128000, 114654, 16556, 38093, 87177, 54926, 102052, 5486, 103983, 20230, 111134, 68759, 38248, 226, 102756, 65575, 30512, 53508, 231, 104195, 54926, 105908, 59614, 116156, 77195, 36785, 106046, 126832, 29295, 117119, 105755, 114654, 30512, 87177, 17663, 100909, 16144, 28037, 104067, 30832, 105888, 30512, 50834, 43514, 127842, 116700, 15024, 5486, 43568, 37689, 109375, 16144, 32943, 20230, 19967, 103836, 5486, 113116, 9554, 108502, 110426, 30512, 48915, 17663, 105908, 107693, 126529, 38641, 9174, 114652, 117952, 106824, 61689, 29295, 5486, 83947, 38093, 87177, 30512, 53508, 231, 104195, 54926, 103846, 102052, 115132, 114740, 114654, 5486, 114172, 102512, 16144, 101182, 25197, 104603, 112997, 5486, 90962, 125913, 32131, 104612, 114654, 123160, 21990, 37507, 114654, 30512, 87177, 103792, 17792, 71289, 5486, 114654, 16144, 38093, 87177, 30512, 5486, 118430, 118095, 20230, 33655, 30297, 17792, 19732, 43240, 47884, 38093, 87177, 54926, 100909, 38641, 9174, 77693, 33503, 106624, 83601, 233, 30369, 101399, 16144, 101335, 65299, 102040, 65299, 103306, 15682, 5486, 108270, 42634, 29295, 34617, 59739, 16556, 1041, 15, 102677, 110904, 25129, 20230, 109033, 70203, 39926, 36896, 931, 117503, 78659, 16144, 9039, 30512, 37656, 106624, 112844, 106592, 64209, 115856, 105784, 104466, 54926, 105908, 27384, 30926, 26854, 120098, 38641, 9174, 114654, 102677, 102944, 102052, 5486, 43240, 103826, 26854, 53508, 231, 104195, 39850, 102741, 105404, 115991, 33541, 29295, 5486, 37823, 70563, 117675, 94550, 76868, 5486, 95399, 30813, 30512, 31634, 54926, 105988, 45923, 65299, 76171, 41758, 5486, 103857, 29220, 57933, 38248, 115, 78205, 16073, 76868, 104309, 19732, 5486, 105268, 30046, 20230, 126909, 16144, 101182, 125559, 115173, 68759, 71289, 120366, 30512, 11883, 102334, 48864, 108710, 41007, 104309, 5486, 104983, 48249, 103470, 43240, 119064, 66953, 37823, 76739, 38248, 115, 78205, 16073, 115991, 33541, 9174, 13177, 83947, 38093, 87177, 16144, 108608, 29504, 120650, 47884, 66383, 32149, 13177, 48915, 29504, 107707, 98915, 17792, 126694, 30369, 66383, 32149, 13177, 120366, 30512, 114654, 16144, 110674, 114181, 104533, 32149, 5486, 104261, 113124, 29295, 114654, 16144, 104261, 71289, 118331, 61398, 120706, 30512, 114654, 16556, 103984, 36735, 112, 54926, 66383, 16995, 100472, 103826, 104680, 26854, 71289, 31431, 24273, 29295, 19361, 13372, 119627, 114318, 112649, 47884, 75146, 17920, 236, 109904, 110904, 102158, 30512, 1049, 15, 102159, 39607, 15682, 112854, 58942, 22957, 104004, 100909, 38641, 9174, 9080, 83947, 16144, 78244, 102158, 29295, 101067, 66201, 71689, 20230, 108901, 109020, 102944, 105110, 81219, 5486, 102321, 38574, 106090, 77181, 114950, 16144, 120328, 29504, 16556, 126120, 50834, 30832, 107407, 114654, 48864, 108710, 76868, 32977, 88356, 106391, 13153, 21105, 103, 16995, 19732, 123085, 17792, 11883, 103306, 15682, 8239, 114503, 29295, 115442, 112586, 47884, 16995, 101200, 36785, 9174, 114654, 16144, 102404, 79785, 102052, 5486, 107608, 19361, 16144, 79785, 42016, 101559, 16144, 116690, 107407, 102677, 106592, 37689, 109375, 127145, 32149, 113637, 30926, 27452, 30512, 112854, 58942, 126386, 19732, 5486, 124572, 20230, 112997, 78683, 94550, 30512, 43240, 47884, 22957, 26854, 120837, 5486, 37087, 38144, 104655, 50834, 18655, 30369, 105908, 110482, 111108, 126529, 38641, 9174, 37823, 114228, 57183, 94550, 16144, 44971, 26269, 22398, 16073, 19732, 110904, 102158, 16144, 66378, 120117, 127862, 118821, 53508, 231, 104195, 30512, 125702, 127397, 111587, 105823, 30369, 101200, 104309, 112384, 107173, 47000, 126660, 106592, 21105, 103, 117201, 5486, 110904, 102158, 102677, 105110, 17129, 30813, 20230, 110904, 102158, 103378, 30512, 61826, 20230, 61304, 125534, 54926, 112973, 57980, 16995, 9174, 114654, 16144, 17161, 25333, 120950, 53283, 109375, 9554, 112113, 30512, 45736, 109315, 103378, 77181, 5486, 114654, 16144, 38093, 87177, 15682, 102131, 102131, 118765, 1811, 104004, 15024, 85791, 5486, 114654, 16144, 55107, 10110, 125641, 53283, 27327, 127268, 7705, 30512, 45736, 109315, 24273, 29295, 5486, 114654, 124905, 16995, 22957, 26854, 17663, 113009, 112160, 87217, 124490, 32149, 17663, 105908, 118765, 102944, 118816, 102677, 105908, 102832, 61398, 101983, 103836, 83947, 38093, 87177, 100927, 102452, 115991, 33541, 9174, 114654, 124905, 16995, 106272, 13177, 101182, 106592, 48864, 104369, 66383, 5486, 90620, 16144, 114654, 108710, 50928, 126036, 107969, 16325, 39926, 5486, 48864, 108710, 108608, 126465, 107407, 123601, 17792, 125030, 76947, 5486, 109834, 103868, 114792, 103836, 108900, 110162, 5486, 117876, 29295, 33503, 64121, 16144, 102944, 109853, 5486, 118823, 104309, 16556, 91875, 55723, 30512, 106767, 15024, 18904, 76947, 64121, 101200, 9174, 118899, 127181, 5486, 83947, 38093, 87177, 71493, 111661, 102052, 5486, 109020, 28713, 76622, 43240, 119064, 18904, 9039, 23039, 105898, 16995, 102944, 36785, 1811, 107740, 42506, 15682, 5486, 20713, 82973, 40265, 115926, 34617, 125215, 27113, 35757, 120264, 29295, 115274, 121374, 116787, 108048, 116749, 20230, 23187, 23538, 38093, 106382, 71289, 17701, 101467, 42506, 29295, 59614, 116156, 26854, 107803, 32977, 101182, 9174, 13177, 43511, 17792, 55031, 104405, 91763, 126832, 32149, 29295, 95221, 108176, 15024, 5486, 48915, 29504, 102158, 76947, 95604, 121142, 110567, 74245, 39926, 114732, 66383, 95604, 123085, 17792, 66378, 19361, 20230, 19361, 54926, 110371, 105933, 41920, 118821, 13177, 113116, 109904, 114632, 104698, 118587, 108167, 48915, 17663, 121142, 116898, 78183, 106644, 30369, 114654, 15682, 28713, 126172, 47884, 108608, 101200, 108176, 102944, 36785, 9174, 38129, 108608, 104468, 114654, 103378, 102677, 107059, 22398, 102677, 102944, 15682, 123085, 102158, 55031, 114654, 110162, 5486, 114654, 55031, 102433, 102158, 102677, 111602, 117735, 54926 ]
[ 117120, 22649, 30512, 5486, 37087, 38144, 21418, 48915, 54926, 100909, 112212, 5486, 114654, 116771, 16556, 114654, 30512, 108038, 20230, 104736, 110322, 54926, 71289, 31431, 24273, 30512, 101171, 111, 20230, 106391, 113638, 109768, 50834, 33541, 9174, 83947, 38093, 87177, 48864, 108710, 16144, 104983, 16144, 64209, 16144, 107253, 104874, 102677, 126036, 5486, 103350, 104983, 114654, 30512, 116826, 103854, 104533, 50834, 16144, 120208, 16144, 110794, 24273, 102083, 58942, 33541, 29295, 5486, 101198, 22398, 30512, 110596, 101557, 106, 72342, 101860, 20230, 108882, 110993, 112535, 87177, 17663, 110371, 105335, 107446, 29295, 22398, 91062, 106240, 26854, 83947, 38093, 87177, 29295, 108608, 101200, 108176, 53508, 246, 32938, 126529, 38641, 9174, 106759, 21105, 123, 126172, 16995, 44620, 115173, 58942, 32977, 25827, 36761, 16144, 114654, 41401, 120988, 115351, 39880, 115507, 102663, 38248, 115, 78205, 16073, 13177, 115173, 58942, 32977, 25827, 76171, 41758, 37823, 116219, 47260, 101198, 107840, 10646, 104309, 32977, 120955, 127145, 105879, 5486, 108895, 16995, 100472, 102944, 124905, 30297, 19732, 17663, 48154, 47884, 114654, 16144, 53508, 231, 104195, 29295, 96356, 60358, 108176, 105879, 33334, 125683, 62004, 38641, 1811, 128001, 128000, 2, 9085, 99742, 60174, 116491, 11144, 89046, 107121, 5232, 62004, 104699, 31431, 30591, 30297, 105694, 234, 32943, 70349, 106759, 16144, 37271, 11199, 20713, 198, 2366, 16, 8107, 16, 9953, 124031, 60174, 116491, 16556, 13177, 62004, 104699, 31431, 30591, 30297, 105694, 234, 32943, 70349, 106759, 16144, 37271, 66383, 95604, 89046, 107121, 29295, 27704, 109709, 79721, 9174, 15120, 18904, 30832, 15682, 5486, 24615, 110, 49409, 109224, 70349, 106759, 38093, 16144, 58911, 22656, 98369, 48154, 15120, 46729, 29295, 19012, 110, 107121, 116216, 61689, 9174, 117039, 15682, 5486, 116511, 101402, 98369, 10110, 78659, 7705, 19732, 71208, 116581, 30512, 101662, 125655, 70349, 106759, 16144, 58911, 22656, 101545, 25333, 98369, 10110, 65917, 65459, 37656, 45829, 98369, 10110, 109432, 7705, 104023, 109022, 101704, 23530, 32943, 198, 20834, 105586, 5232, 124031, 60174, 116491, 10110, 2366, 16, 8107, 16, 9953, 1114, 9080, 320, 9080, 8, 23954, 14711, 220, 17663, 47884, 17663, 47884, 101662, 59739, 110783, 20230, 104940, 102802, 198, 47774, 103350, 45829, 122393, 123606, 101860, 125104, 198, 13177, 101908, 122924, 103378, 16144, 110018, 15682, 106644, 121710, 31431, 82973, 29295, 103188, 105557, 101732, 1811, 45829, 67645, 32977, 30512, 101662, 38144, 100934, 19732, 5486, 82973, 29295, 28713, 59739, 112973, 103856, 16995, 1811, 17663, 48154, 47884, 115173, 68759, 78459, 48552, 111329, 109022, 101704, 23530, 32943, 20230, 101987, 104004, 58911, 22656, 101545, 25333, 98369, 10110, 44597, 68093, 65459, 37656, 45829, 98369, 10110, 44597, 66115, 7705, 101908, 109297, 15682, 5486, 117734, 25963, 116358, 116511, 101402, 98369, 10110, 20713, 66224, 65459, 123514, 20713, 116358, 71208, 116581, 10110, 66224, 120732, 70349, 45829, 25963, 17792, 30512, 101662, 38144, 100934, 1811, 104473, 102057, 223, 120937, 29295, 5486, 126929, 29295, 58942, 16144, 100604, 23018, 45829, 105459, 36785, 9174, 101908, 109297, 15682, 20713, 68093, 68093, 46702, 116033, 126326, 15024, 5486, 103350, 45829, 30512, 103192, 102189, 29295, 122393, 123606, 104435, 1811, 70349, 106759, 118006, 30512, 104482, 103234, 20230, 56051, 111926, 115173, 68759, 104088, 28713, 16144, 30512, 50834, 42891, 126929, 20230, 81191, 27113, 46702, 8107, 5486, 70349, 106759, 20230, 125104, 56051, 9174, 42016, 8107, 5486, 34617, 97049, 16144, 71208, 116581, 30512, 85707, 107436, 113838, 102518, 29295, 5486, 103350, 104503, 29295, 88356, 106367, 56051, 118733, 103268, 8107, 16556, 113801, 18655, 102204, 100481, 100472, 1811, 15973, 224, 102800, 114284, 126198, 29295, 102048, 234, 9953, 5486, 40265, 39177, 20713, 97049, 103268, 16144, 116511, 101402, 121944, 111528, 116581, 94923, 55031, 78183, 29295, 46729, 20230, 124284, 1811, 103350, 106759, 15682, 113598, 101662, 106556, 29295, 103167, 47884, 5486, 116511, 101402, 98369, 30512, 101662, 38144, 100481, 47884, 105908, 103082, 104435, 9174, 101908, 109297, 15682, 116511, 101402, 115867, 103983, 104371, 47523, 30512, 13177, 43511, 117255, 19732, 57106, 115694, 122485, 103378, 44620, 16556, 11972, 25827, 36761, 19732, 106391, 107290, 30369, 112391, 16556, 127359, 25197, 99695, 61398, 126365, 107800, 66383, 112854, 58942, 100934, 1811, 112185, 105564, 76622, 100481, 104435, 29295, 5486, 46729, 20230, 124284, 33503, 114652, 91875, 50834, 18904, 30369, 101200, 110276, 102083, 16995, 5486, 17663, 47884, 17663, 126145, 13153, 101544, 109768, 47884, 116511, 101402, 115867, 110783, 29295, 5486, 101908, 109297, 16144, 104940, 102802, 110276, 9174, 70349, 106759, 15682, 70349, 45829, 113115, 15024, 5486, 105994, 105459, 29295, 103350, 16144, 106759, 45829, 16556, 100604, 106592, 109431, 102769, 26854, 39177, 23538, 20230, 108044, 105262, 13177, 89151, 103350, 58655, 53283, 10646, 29295, 32018, 62004, 110071, 1811, 101908, 109297, 15682, 5486, 116511, 101402, 121944, 105994, 29295, 70349, 45829, 103195, 106592, 109683, 20230, 101682, 76622, 125639, 110071, 101200, 5486, 70349, 106759, 118006, 16144, 43167, 109709, 20230, 108882, 110993, 112535, 110284, 56051, 1811, 43240, 103826, 34171, 30512, 104736, 62004, 40862, 30297, 105933, 44915, 16144, 121995, 22656, 30512, 98499, 64121, 104655, 32149, 122101, 49792, 101908, 32977, 107113, 102677, 9174, 90620, 5486, 106759, 19732, 119395, 29295, 108010, 30297, 104856, 104984, 5486, 104575, 16556, 42016, 104297, 21990, 55031, 99849, 30512, 117952, 104028, 32149, 17620, 124403, 103846, 120268, 16325, 104575, 77181, 58911, 22656, 116122, 124905, 100472, 1811, 116511, 101402, 121944, 31809, 104575, 45736, 48864, 116358, 119400, 102052, 103350, 106759, 109853, 101908, 109297, 20230, 105284, 99397, 54926, 115789, 99849, 27479, 32149, 105693, 9174, 80673, 116511, 101402, 117940, 5486, 116907, 16144, 21990, 123606, 30512, 16937, 103768, 102052, 112391, 104435, 1811, 101908, 109297, 126328, 13177, 21990, 64121, 112197, 103760, 117940, 115517, 29295, 30591, 76947, 126419, 20230, 16995, 102204, 100604, 107493, 5486, 76208, 33014, 112624, 102780, 20230, 106518, 104127, 122396, 105272, 55031, 99750, 118835, 21105, 103, 118145, 101832, 66383, 117952, 33121, 101732, 15024, 36896, 17792, 19732, 108010, 30297, 112973, 32149, 42891, 22957, 104712, 26854, 106046, 76947, 28713, 126557, 53953, 30926, 30512, 125062, 17663, 112973, 107202, 46034, 26854, 34171, 35083, 32977, 57903, 5486, 117734, 77181, 21990, 17129, 103468, 110018, 16144, 116122, 103195, 115581, 112, 76505, 30512, 13372, 110498, 30369, 9174, 101908, 109297, 15682, 20713, 20713, 116033, 114363, 103722, 70349, 106759, 16144, 104736, 23187, 114475, 76622, 5486, 20713, 66224, 8107, 5486, 99959, 115691, 111571, 16144, 71208, 116581, 30512, 109169, 58942, 17701, 103468, 1811, 45829, 67645, 32977, 126027, 123120, 71289, 113727, 29295, 113954, 103082, 101860, 27384, 104721, 26854, 115789, 101182, 29295, 116898, 75694, 102677, 110018, 102052, 61826, 101477, 102, 70349, 106759, 71289, 116581, 109421, 50021, 111813, 32938, 5486, 116581, 109421, 113598, 106528, 102923, 102332, 16144, 107430, 102351, 104309, 117943, 104028, 48706, 29295, 102532, 5486, 50021, 111813, 108608, 9174, 103350, 45829, 20230, 122393, 123606, 104435, 101908, 109297, 119520, 31809, 30813, 26854, 119400, 20230, 109169, 58942, 17701, 103468, 124863, 5486, 108064, 16144, 56965, 112649, 105994, 126027, 96356, 101544, 30512, 113487, 50834, 36896, 108416, 117503, 28190, 105987, 30512, 114652, 91774, 38144, 124089, 103271, 116033, 101662, 100472, 66327, 85701, 55031, 32977, 5486, 49838, 100472, 31431, 5486, 127379, 102334, 31431, 5486, 113799, 100472, 31431, 1811, 125821, 105465, 103801, 127397, 124089, 119150, 126557, 101908, 109297, 15682, 105791, 104088, 114146, 38144, 49838, 30297, 9174, 84264, 238, 75293, 71289, 113598, 101662, 120853, 33476, 104309, 5486, 118969, 75694, 17129, 26854, 115517, 16556, 103350, 106759, 19732, 127331, 117063, 100604, 45829, 67645, 32977, 105459, 30512, 113838, 126469, 113598, 101662, 54926, 70349, 106759, 1811, 60358, 8107, 5486, 84264, 238, 75293, 14558, 9039, 15682, 115079, 21601, 101427, 122, 70141, 20230, 105693, 29295, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 117375, 32977, 110924, 20230, 113663, 119707, 76622, 5486, 70349, 106759, 16144, 109215, 34171, 29295, 115079, 103792, 1811, 72099, 123727, 70349, 106759, 127282, 67645, 120950, 114284, 16556, 45829, 30512, 101662, 38144, 5486, 116690, 101513, 97518, 15682, 67645, 120950, 122521, 117824, 103836, 104865, 1811, 114305, 16144, 102321, 103397, 30512, 18655, 103234, 56051, 9174, 27347, 36668, 26854, 70349, 106759, 16144, 104091, 104770, 19732, 46034, 40265, 198, 53229, 108630, 20713, 66115, 97049, 103296, 117255, 67645, 32977, 29295, 37026, 80195, 56051, 31431, 5486, 103350, 118006, 20230, 114941, 100472, 31431, 54926, 103296, 101682, 76622, 17701, 106824, 101662, 125655, 13177, 113598, 101662, 70349, 106759, 10646, 10634, 121, 66776, 23039, 71289, 108502, 104698, 104309, 16556, 114363, 103722, 109904, 102663, 39880, 29295, 109215, 26854, 45829, 67645, 32977, 30512, 101662, 125655, 13177, 114363, 103722, 70349, 106759, 10646, 10634, 121, 45829, 67645, 102944, 113598, 106759, 117282, 13177, 113598, 45829, 102057, 223, 103214, 70349, 106759, 10646, 10634, 121, 106649, 117232, 103378, 101682, 76622, 17701, 104028, 13177, 111299, 106968, 70349, 106759, 116326, 33035, 25666, 7705, 90581, 104309, 107407, 1811, 26854, 31431, 46034, 127242, 30512, 124858, 20230, 5486, 29504, 15682, 74245, 60358, 16556, 81191, 20713, 66224, 110895, 123213, 110895, 19732, 70349, 106759, 46034, 40265, 30512, 26955, 94, 105843, 15024, 5486, 112599, 15682, 113598, 101662, 70349, 106759, 29295, 45829, 67645, 32977, 20713, 17792, 40265, 115926, 9953, 109518, 68093, 110743, 5486, 114363, 103722, 70349, 106759, 15682, 20713, 17792, 40265, 115926, 9953, 109518, 20713, 46702, 32307, 20713, 103633, 35757, 1811, 45829, 67645, 32977, 25963, 17792, 30832, 23897, 104989, 32977, 20713, 17792, 30832, 19732, 42016, 109518, 114267, 102717, 32149, 5486, 103242, 109519, 106382, 71289, 104378, 106382, 104309, 29295, 46456, 110698, 107001, 1811, 128001, 128000, 679, 24, 8107, 19, 9953, 508, 9080, 102404, 23039, 111476, 46091, 110362, 106390, 50211, 68759, 102472, 76428, 16073, 13177, 99750, 112854, 19732, 108396, 10646, 1774, 18476, 105755, 121270, 96356, 112028, 34048, 30512, 48154, 126362, 78434, 9174, 60315, 28038, 30832, 33671, 26123, 103358, 33423, 17424, 198, 27113, 59983, 57933, 62903, 71634, 41401, 220, 115303, 31431, 102158, 31431, 27113, 20713, 46702, 10110, 25580, 104817, 23954, 20713, 59983, 57933, 62903, 71634, 41401, 220, 115303, 31431, 102158, 31431, 27113, 20713, 46702, 10110, 74482, 104817, 23954, 25963, 59983, 111813, 87177, 102452, 198, 108373, 103358, 66709, 60315, 198, 15836, 115226, 26854, 102944, 29295, 120953, 95604, 104346, 20230, 103130, 33208, 109768, 76947, 5486, 116414, 120650, 50834, 100815, 47884, 104865, 76947, 95604, 19732, 22957, 16556, 111476, 114516, 29295, 15836, 20230, 5486, 108031, 110498, 42891, 18655, 102204, 104702, 126699, 110034, 32149, 110162, 111476, 103350, 104983, 20230, 5486, 114516, 16144, 101171, 111, 64121, 27929, 126036, 1399, 6708, 228, 98406, 120264, 15836, 15682, 126053, 115737, 107462, 47884, 76947, 95604, 89154, 57933, 16073, 123618, 29295, 5486, 108031, 105184, 103350, 103984, 116216, 104533, 32149, 5486, 105321, 32149, 117952, 106824, 30369, 16325, 16556, 111476, 58426, 103857, 71634, 70563, 39880, 109904, 5486, 116292, 114181, 109904, 120987, 66201, 5486, 15836, 20230, 46456, 55487, 107001, 105933, 102616, 5486, 72404, 40452, 106222, 110162, 76947, 95604, 16144, 30512, 114284, 110240, 47884, 115789, 108608, 15024, 111476, 15120, 24273, 16556, 5486, 114516, 109853, 32977, 5486, 114652, 102158, 110071, 100909, 38641, 107493, 5486, 110924, 20230, 27452, 116285, 103926, 107407, 32149, 104405, 32149, 5486, 115226, 26854, 9174, 15120, 102057, 115, 10110, 16995, 43514, 30369, 120732, 108048, 16556, 112169, 34171, 29295, 37087, 61994, 124500, 30369, 76947, 95604, 126101, 123334, 112043, 31431, 110924, 20230, 117375, 54926, 16144, 76947, 5486, 114516, 48706, 36785, 119150, 116233, 123794, 9174, 16556, 5486, 105243, 110596, 16144, 57933, 108941, 103306, 5486, 15836, 20230, 117475, 16144, 64209, 29295, 21990, 17129, 104028, 32149, 104405, 126469, 95604, 104468, 115847, 55031, 12870, 226, 16995, 104584, 50834, 50520, 108, 62004, 102204, 100481, 47884, 102616, 113461, 119150, 116233, 107493, 111476, 102971, 91077, 15682, 105321, 32149, 5486, 15836, 19732, 55999, 25359, 109768, 47884, 5486, 37795, 96, 20230, 107991, 114516, 29295, 99849, 30046, 103195, 29295, 123334, 112043, 31431, 17663, 48154, 47884, 27384, 112495, 117375, 110034, 16144, 11571, 220, 76947, 112418, 15682, 91763, 30297, 116233, 123794, 9174, 102131, 56051, 126101, 5486, 108031, 127637, 123726, 30369, 48634, 5486, 106384, 76428, 115145, 26854, 118656, 109904, 123726, 30369, 48634, 5486, 113116, 109904, 121771, 17129, 21105, 243, 32977, 96412, 107436, 108048, 55031, 109683, 30512, 114181, 105085, 54926, 48634, 5486, 110924, 111363, 109683, 30512, 108056, 19732, 113797, 114330, 54926, 64209, 110162, 30512, 5486, 125821, 108167, 114941, 109768, 100472, 126101, 111476, 108396, 112113, 32977, 126920, 123726, 104533, 91763, 30297, 15024, 111476, 16556, 5486, 17161, 31958, 16144, 108436, 109033, 23538, 120572, 76947, 95604, 104468, 5486, 108031, 105184, 103350, 20230, 37507, 38144, 104533, 91763, 30297, 116233, 107493, 112160, 59739, 119448, 47884, 78244, 105262, 104468, 5486, 114734, 103087, 22656, 106613, 111587, 29295, 9639, 20, 8107, 119400, 120650, 50834, 50520, 108, 115464, 108995, 5486, 105721, 78183, 30369, 108995, 76947, 95604, 103911, 108867, 29295, 112418, 107809, 117083, 116233, 107493, 9174, 77693, 29295, 105321, 32149, 5486, 17792, 104770, 16144, 105721, 116547, 104446, 103470, 38144, 5486, 126920, 60632, 23018, 116825, 107441, 5486, 112756, 7190, 96, 30512, 55999, 33035, 95001, 112603, 114267, 37271, 16144, 51330, 106613, 111587, 123141, 29295, 112160, 118821, 17161, 31958, 103306, 105721, 32016, 231, 54926, 9174, 16556, 106116, 61826, 120650, 47884, 76947, 95604, 100909, 36785, 119150, 116233, 123794, 9174, 77693, 29295, 5486, 120115, 33035, 112756, 19732, 102212, 108171, 118816, 112418, 15682, 91763, 30297, 116233, 57980, 9174, 10110, 46091, 110362, 106390, 50211, 68759, 102472, 76428, 16073, 13177, 99750, 112854, 19732, 108396, 10646, 1774, 18476, 44620, 115303, 31431, 102158, 31431, 15901, 36761, 105755, 15120, 34048, 113487, 90397, 233, 23954, 102971, 106391, 110371, 44620, 103927, 102494, 9458, 68408, 115474, 36761, 76947, 95604, 22656, 29295, 5486, 107188, 31431, 112418, 29295, 91763, 76947, 28713, 122141, 120572, 101832, 10646, 76947, 95604, 118372, 30512, 5486, 48864, 99397, 9554, 105352, 98499 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 117120, 22649, 30512, 5486, 37087, 38144, 21418, 48915, 54926, 100909, 112212, 5486, 114654, 116771, 16556, 114654, 30512, 108038, 20230, 104736, 110322, 54926, 71289, 31431, 24273, 30512, 101171, 111, 20230, 106391, 113638, 109768, 50834, 33541, 9174, 83947, 38093, 87177, 48864, 108710, 16144, 104983, 16144, 64209, 16144, 107253, 104874, 102677, 126036, 5486, 103350, 104983, 114654, 30512, 116826, 103854, 104533, 50834, 16144, 120208, 16144, 110794, 24273, 102083, 58942, 33541, 29295, 5486, 101198, 22398, 30512, 110596, 101557, 106, 72342, 101860, 20230, 108882, 110993, 112535, 87177, 17663, 110371, 105335, 107446, 29295, 22398, 91062, 106240, 26854, 83947, 38093, 87177, 29295, 108608, 101200, 108176, 53508, 246, 32938, 126529, 38641, 9174, 106759, 21105, 123, 126172, 16995, 44620, 115173, 58942, 32977, 25827, 36761, 16144, 114654, 41401, 120988, 115351, 39880, 115507, 102663, 38248, 115, 78205, 16073, 13177, 115173, 58942, 32977, 25827, 76171, 41758, 37823, 116219, 47260, 101198, 107840, 10646, 104309, 32977, 120955, 127145, 105879, 5486, 108895, 16995, 100472, 102944, 124905, 30297, 19732, 17663, 48154, 47884, 114654, 16144, 53508, 231, 104195, 29295, 96356, 60358, 108176, 105879, 33334, 125683, 62004, 38641, 1811, 128001, 128000, 2, 9085, 99742, 60174, 116491, 11144, 89046, 107121, 5232, 62004, 104699, 31431, 30591, 30297, 105694, 234, 32943, 70349, 106759, 16144, 37271, 11199, 20713, 198, 2366, 16, 8107, 16, 9953, 124031, 60174, 116491, 16556, 13177, 62004, 104699, 31431, 30591, 30297, 105694, 234, 32943, 70349, 106759, 16144, 37271, 66383, 95604, 89046, 107121, 29295, 27704, 109709, 79721, 9174, 15120, 18904, 30832, 15682, 5486, 24615, 110, 49409, 109224, 70349, 106759, 38093, 16144, 58911, 22656, 98369, 48154, 15120, 46729, 29295, 19012, 110, 107121, 116216, 61689, 9174, 117039, 15682, 5486, 116511, 101402, 98369, 10110, 78659, 7705, 19732, 71208, 116581, 30512, 101662, 125655, 70349, 106759, 16144, 58911, 22656, 101545, 25333, 98369, 10110, 65917, 65459, 37656, 45829, 98369, 10110, 109432, 7705, 104023, 109022, 101704, 23530, 32943, 198, 20834, 105586, 5232, 124031, 60174, 116491, 10110, 2366, 16, 8107, 16, 9953, 1114, 9080, 320, 9080, 8, 23954, 14711, 220, 17663, 47884, 17663, 47884, 101662, 59739, 110783, 20230, 104940, 102802, 198, 47774, 103350, 45829, 122393, 123606, 101860, 125104, 198, 13177, 101908, 122924, 103378, 16144, 110018, 15682, 106644, 121710, 31431, 82973, 29295, 103188, 105557, 101732, 1811, 45829, 67645, 32977, 30512, 101662, 38144, 100934, 19732, 5486, 82973, 29295, 28713, 59739, 112973, 103856, 16995, 1811, 17663, 48154, 47884, 115173, 68759, 78459, 48552, 111329, 109022, 101704, 23530, 32943, 20230, 101987, 104004, 58911, 22656, 101545, 25333, 98369, 10110, 44597, 68093, 65459, 37656, 45829, 98369, 10110, 44597, 66115, 7705, 101908, 109297, 15682, 5486, 117734, 25963, 116358, 116511, 101402, 98369, 10110, 20713, 66224, 65459, 123514, 20713, 116358, 71208, 116581, 10110, 66224, 120732, 70349, 45829, 25963, 17792, 30512, 101662, 38144, 100934, 1811, 104473, 102057, 223, 120937, 29295, 5486, 126929, 29295, 58942, 16144, 100604, 23018, 45829, 105459, 36785, 9174, 101908, 109297, 15682, 20713, 68093, 68093, 46702, 116033, 126326, 15024, 5486, 103350, 45829, 30512, 103192, 102189, 29295, 122393, 123606, 104435, 1811, 70349, 106759, 118006, 30512, 104482, 103234, 20230, 56051, 111926, 115173, 68759, 104088, 28713, 16144, 30512, 50834, 42891, 126929, 20230, 81191, 27113, 46702, 8107, 5486, 70349, 106759, 20230, 125104, 56051, 9174, 42016, 8107, 5486, 34617, 97049, 16144, 71208, 116581, 30512, 85707, 107436, 113838, 102518, 29295, 5486, 103350, 104503, 29295, 88356, 106367, 56051, 118733, 103268, 8107, 16556, 113801, 18655, 102204, 100481, 100472, 1811, 15973, 224, 102800, 114284, 126198, 29295, 102048, 234, 9953, 5486, 40265, 39177, 20713, 97049, 103268, 16144, 116511, 101402, 121944, 111528, 116581, 94923, 55031, 78183, 29295, 46729, 20230, 124284, 1811, 103350, 106759, 15682, 113598, 101662, 106556, 29295, 103167, 47884, 5486, 116511, 101402, 98369, 30512, 101662, 38144, 100481, 47884, 105908, 103082, 104435, 9174, 101908, 109297, 15682, 116511, 101402, 115867, 103983, 104371, 47523, 30512, 13177, 43511, 117255, 19732, 57106, 115694, 122485, 103378, 44620, 16556, 11972, 25827, 36761, 19732, 106391, 107290, 30369, 112391, 16556, 127359, 25197, 99695, 61398, 126365, 107800, 66383, 112854, 58942, 100934, 1811, 112185, 105564, 76622, 100481, 104435, 29295, 5486, 46729, 20230, 124284, 33503, 114652, 91875, 50834, 18904, 30369, 101200, 110276, 102083, 16995, 5486, 17663, 47884, 17663, 126145, 13153, 101544, 109768, 47884, 116511, 101402, 115867, 110783, 29295, 5486, 101908, 109297, 16144, 104940, 102802, 110276, 9174, 70349, 106759, 15682, 70349, 45829, 113115, 15024, 5486, 105994, 105459, 29295, 103350, 16144, 106759, 45829, 16556, 100604, 106592, 109431, 102769, 26854, 39177, 23538, 20230, 108044, 105262, 13177, 89151, 103350, 58655, 53283, 10646, 29295, 32018, 62004, 110071, 1811, 101908, 109297, 15682, 5486, 116511, 101402, 121944, 105994, 29295, 70349, 45829, 103195, 106592, 109683, 20230, 101682, 76622, 125639, 110071, 101200, 5486, 70349, 106759, 118006, 16144, 43167, 109709, 20230, 108882, 110993, 112535, 110284, 56051, 1811, 43240, 103826, 34171, 30512, 104736, 62004, 40862, 30297, 105933, 44915, 16144, 121995, 22656, 30512, 98499, 64121, 104655, 32149, 122101, 49792, 101908, 32977, 107113, 102677, 9174, 90620, 5486, 106759, 19732, 119395, 29295, 108010, 30297, 104856, 104984, 5486, 104575, 16556, 42016, 104297, 21990, 55031, 99849, 30512, 117952, 104028, 32149, 17620, 124403, 103846, 120268, 16325, 104575, 77181, 58911, 22656, 116122, 124905, 100472, 1811, 116511, 101402, 121944, 31809, 104575, 45736, 48864, 116358, 119400, 102052, 103350, 106759, 109853, 101908, 109297, 20230, 105284, 99397, 54926, 115789, 99849, 27479, 32149, 105693, 9174, 80673, 116511, 101402, 117940, 5486, 116907, 16144, 21990, 123606, 30512, 16937, 103768, 102052, 112391, 104435, 1811, 101908, 109297, 126328, 13177, 21990, 64121, 112197, 103760, 117940, 115517, 29295, 30591, 76947, 126419, 20230, 16995, 102204, 100604, 107493, 5486, 76208, 33014, 112624, 102780, 20230, 106518, 104127, 122396, 105272, 55031, 99750, 118835, 21105, 103, 118145, 101832, 66383, 117952, 33121, 101732, 15024, 36896, 17792, 19732, 108010, 30297, 112973, 32149, 42891, 22957, 104712, 26854, 106046, 76947, 28713, 126557, 53953, 30926, 30512, 125062, 17663, 112973, 107202, 46034, 26854, 34171, 35083, 32977, 57903, 5486, 117734, 77181, 21990, 17129, 103468, 110018, 16144, 116122, 103195, 115581, 112, 76505, 30512, 13372, 110498, 30369, 9174, 101908, 109297, 15682, 20713, 20713, 116033, 114363, 103722, 70349, 106759, 16144, 104736, 23187, 114475, 76622, 5486, 20713, 66224, 8107, 5486, 99959, 115691, 111571, 16144, 71208, 116581, 30512, 109169, 58942, 17701, 103468, 1811, 45829, 67645, 32977, 126027, 123120, 71289, 113727, 29295, 113954, 103082, 101860, 27384, 104721, 26854, 115789, 101182, 29295, 116898, 75694, 102677, 110018, 102052, 61826, 101477, 102, 70349, 106759, 71289, 116581, 109421, 50021, 111813, 32938, 5486, 116581, 109421, 113598, 106528, 102923, 102332, 16144, 107430, 102351, 104309, 117943, 104028, 48706, 29295, 102532, 5486, 50021, 111813, 108608, 9174, 103350, 45829, 20230, 122393, 123606, 104435, 101908, 109297, 119520, 31809, 30813, 26854, 119400, 20230, 109169, 58942, 17701, 103468, 124863, 5486, 108064, 16144, 56965, 112649, 105994, 126027, 96356, 101544, 30512, 113487, 50834, 36896, 108416, 117503, 28190, 105987, 30512, 114652, 91774, 38144, 124089, 103271, 116033, 101662, 100472, 66327, 85701, 55031, 32977, 5486, 49838, 100472, 31431, 5486, 127379, 102334, 31431, 5486, 113799, 100472, 31431, 1811, 125821, 105465, 103801, 127397, 124089, 119150, 126557, 101908, 109297, 15682, 105791, 104088, 114146, 38144, 49838, 30297, 9174, 84264, 238, 75293, 71289, 113598, 101662, 120853, 33476, 104309, 5486, 118969, 75694, 17129, 26854, 115517, 16556, 103350, 106759, 19732, 127331, 117063, 100604, 45829, 67645, 32977, 105459, 30512, 113838, 126469, 113598, 101662, 54926, 70349, 106759, 1811, 60358, 8107, 5486, 84264, 238, 75293, 14558, 9039, 15682, 115079, 21601, 101427, 122, 70141, 20230, 105693, 29295, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 117375, 32977, 110924, 20230, 113663, 119707, 76622, 5486, 70349, 106759, 16144, 109215, 34171, 29295, 115079, 103792, 1811, 72099, 123727, 70349, 106759, 127282, 67645, 120950, 114284, 16556, 45829, 30512, 101662, 38144, 5486, 116690, 101513, 97518, 15682, 67645, 120950, 122521, 117824, 103836, 104865, 1811, 114305, 16144, 102321, 103397, 30512, 18655, 103234, 56051, 9174, 27347, 36668, 26854, 70349, 106759, 16144, 104091, 104770, 19732, 46034, 40265, 198, 53229, 108630, 20713, 66115, 97049, 103296, 117255, 67645, 32977, 29295, 37026, 80195, 56051, 31431, 5486, 103350, 118006, 20230, 114941, 100472, 31431, 54926, 103296, 101682, 76622, 17701, 106824, 101662, 125655, 13177, 113598, 101662, 70349, 106759, 10646, 10634, 121, 66776, 23039, 71289, 108502, 104698, 104309, 16556, 114363, 103722, 109904, 102663, 39880, 29295, 109215, 26854, 45829, 67645, 32977, 30512, 101662, 125655, 13177, 114363, 103722, 70349, 106759, 10646, 10634, 121, 45829, 67645, 102944, 113598, 106759, 117282, 13177, 113598, 45829, 102057, 223, 103214, 70349, 106759, 10646, 10634, 121, 106649, 117232, 103378, 101682, 76622, 17701, 104028, 13177, 111299, 106968, 70349, 106759, 116326, 33035, 25666, 7705, 90581, 104309, 107407, 1811, 26854, 31431, 46034, 127242, 30512, 124858, 20230, 5486, 29504, 15682, 74245, 60358, 16556, 81191, 20713, 66224, 110895, 123213, 110895, 19732, 70349, 106759, 46034, 40265, 30512, 26955, 94, 105843, 15024, 5486, 112599, 15682, 113598, 101662, 70349, 106759, 29295, 45829, 67645, 32977, 20713, 17792, 40265, 115926, 9953, 109518, 68093, 110743, 5486, 114363, 103722, 70349, 106759, 15682, 20713, 17792, 40265, 115926, 9953, 109518, 20713, 46702, 32307, 20713, 103633, 35757, 1811, 45829, 67645, 32977, 25963, 17792, 30832, 23897, 104989, 32977, 20713, 17792, 30832, 19732, 42016, 109518, 114267, 102717, 32149, 5486, 103242, 109519, 106382, 71289, 104378, 106382, 104309, 29295, 46456, 110698, 107001, 1811, 128001, 128000, 679, 24, 8107, 19, 9953, 508, 9080, 102404, 23039, 111476, 46091, 110362, 106390, 50211, 68759, 102472, 76428, 16073, 13177, 99750, 112854, 19732, 108396, 10646, 1774, 18476, 105755, 121270, 96356, 112028, 34048, 30512, 48154, 126362, 78434, 9174, 60315, 28038, 30832, 33671, 26123, 103358, 33423, 17424, 198, 27113, 59983, 57933, 62903, 71634, 41401, 220, 115303, 31431, 102158, 31431, 27113, 20713, 46702, 10110, 25580, 104817, 23954, 20713, 59983, 57933, 62903, 71634, 41401, 220, 115303, 31431, 102158, 31431, 27113, 20713, 46702, 10110, 74482, 104817, 23954, 25963, 59983, 111813, 87177, 102452, 198, 108373, 103358, 66709, 60315, 198, 15836, 115226, 26854, 102944, 29295, 120953, 95604, 104346, 20230, 103130, 33208, 109768, 76947, 5486, 116414, 120650, 50834, 100815, 47884, 104865, 76947, 95604, 19732, 22957, 16556, 111476, 114516, 29295, 15836, 20230, 5486, 108031, 110498, 42891, 18655, 102204, 104702, 126699, 110034, 32149, 110162, 111476, 103350, 104983, 20230, 5486, 114516, 16144, 101171, 111, 64121, 27929, 126036, 1399, 6708, 228, 98406, 120264, 15836, 15682, 126053, 115737, 107462, 47884, 76947, 95604, 89154, 57933, 16073, 123618, 29295, 5486, 108031, 105184, 103350, 103984, 116216, 104533, 32149, 5486, 105321, 32149, 117952, 106824, 30369, 16325, 16556, 111476, 58426, 103857, 71634, 70563, 39880, 109904, 5486, 116292, 114181, 109904, 120987, 66201, 5486, 15836, 20230, 46456, 55487, 107001, 105933, 102616, 5486, 72404, 40452, 106222, 110162, 76947, 95604, 16144, 30512, 114284, 110240, 47884, 115789, 108608, 15024, 111476, 15120, 24273, 16556, 5486, 114516, 109853, 32977, 5486, 114652, 102158, 110071, 100909, 38641, 107493, 5486, 110924, 20230, 27452, 116285, 103926, 107407, 32149, 104405, 32149, 5486, 115226, 26854, 9174, 15120, 102057, 115, 10110, 16995, 43514, 30369, 120732, 108048, 16556, 112169, 34171, 29295, 37087, 61994, 124500, 30369, 76947, 95604, 126101, 123334, 112043, 31431, 110924, 20230, 117375, 54926, 16144, 76947, 5486, 114516, 48706, 36785, 119150, 116233, 123794, 9174, 16556, 5486, 105243, 110596, 16144, 57933, 108941, 103306, 5486, 15836, 20230, 117475, 16144, 64209, 29295, 21990, 17129, 104028, 32149, 104405, 126469, 95604, 104468, 115847, 55031, 12870, 226, 16995, 104584, 50834, 50520, 108, 62004, 102204, 100481, 47884, 102616, 113461, 119150, 116233, 107493, 111476, 102971, 91077, 15682, 105321, 32149, 5486, 15836, 19732, 55999, 25359, 109768, 47884, 5486, 37795, 96, 20230, 107991, 114516, 29295, 99849, 30046, 103195, 29295, 123334, 112043, 31431, 17663, 48154, 47884, 27384, 112495, 117375, 110034, 16144, 11571, 220, 76947, 112418, 15682, 91763, 30297, 116233, 123794, 9174, 102131, 56051, 126101, 5486, 108031, 127637, 123726, 30369, 48634, 5486, 106384, 76428, 115145, 26854, 118656, 109904, 123726, 30369, 48634, 5486, 113116, 109904, 121771, 17129, 21105, 243, 32977, 96412, 107436, 108048, 55031, 109683, 30512, 114181, 105085, 54926, 48634, 5486, 110924, 111363, 109683, 30512, 108056, 19732, 113797, 114330, 54926, 64209, 110162, 30512, 5486, 125821, 108167, 114941, 109768, 100472, 126101, 111476, 108396, 112113, 32977, 126920, 123726, 104533, 91763, 30297, 15024, 111476, 16556, 5486, 17161, 31958, 16144, 108436, 109033, 23538, 120572, 76947, 95604, 104468, 5486, 108031, 105184, 103350, 20230, 37507, 38144, 104533, 91763, 30297, 116233, 107493, 112160, 59739, 119448, 47884, 78244, 105262, 104468, 5486, 114734, 103087, 22656, 106613, 111587, 29295, 9639, 20, 8107, 119400, 120650, 50834, 50520, 108, 115464, 108995, 5486, 105721, 78183, 30369, 108995, 76947, 95604, 103911, 108867, 29295, 112418, 107809, 117083, 116233, 107493, 9174, 77693, 29295, 105321, 32149, 5486, 17792, 104770, 16144, 105721, 116547, 104446, 103470, 38144, 5486, 126920, 60632, 23018, 116825, 107441, 5486, 112756, 7190, 96, 30512, 55999, 33035, 95001, 112603, 114267, 37271, 16144, 51330, 106613, 111587, 123141, 29295, 112160, 118821, 17161, 31958, 103306, 105721, 32016, 231, 54926, 9174, 16556, 106116, 61826, 120650, 47884, 76947, 95604, 100909, 36785, 119150, 116233, 123794, 9174, 77693, 29295, 5486, 120115, 33035, 112756, 19732, 102212, 108171, 118816, 112418, 15682, 91763, 30297, 116233, 57980, 9174, 10110, 46091, 110362, 106390, 50211, 68759, 102472, 76428, 16073, 13177, 99750, 112854, 19732, 108396, 10646, 1774, 18476, 44620, 115303, 31431, 102158, 31431, 15901, 36761, 105755, 15120, 34048, 113487, 90397, 233, 23954, 102971, 106391, 110371, 44620, 103927, 102494, 9458, 68408, 115474, 36761, 76947, 95604, 22656, 29295, 5486, 107188, 31431, 112418, 29295, 91763, 76947, 28713, 122141, 120572, 101832, 10646, 76947, 95604, 118372, 30512, 5486, 48864, 99397, 9554, 105352, 98499 ]
[ 64121, 53953, 103306, 32977, 106241, 127075, 26854, 83799, 16556, 61304, 39926, 120700, 101732, 104127, 111476, 105321, 32149, 98499, 64121, 106272, 102472, 123428, 89154, 106240, 115226, 26854, 36896, 102131, 36785, 102131, 36785, 10646, 115226, 26854, 1811, 101704, 21105, 114, 112586, 53900, 102131, 95604, 22656, 19732, 20834, 38093, 107290, 9174, 17129, 108861, 107943, 32335, 16325, 38641, 107493, 5486, 108729, 9554, 102052, 23, 111017, 24273, 5486, 105464, 29295, 37271, 15682, 116467, 103605, 39926, 5486, 30297, 62004, 50834, 106272, 103302, 126694, 76947, 108048, 103378, 118816, 101851, 106, 50520, 108, 17129, 42891, 104702, 30297, 104127, 5486, 40862, 122756, 103013, 103, 30512, 111017, 100472, 31431, 5486, 40198, 239, 71289, 100472, 31431, 76947, 95604, 111476, 105994, 9554, 102052, 111006, 16144, 112258, 249, 91779, 105, 32977, 96412, 107436, 5486, 58911, 30512, 105564, 50834, 18904, 30369, 9080, 104680, 105321, 38641, 107493, 9174, 102131, 125338, 114516, 29295, 109683, 19732, 70349, 58911, 16144, 5486, 114516, 106222, 16144, 76739, 26269, 76428, 16144, 105494, 20230, 108056, 19732, 101987, 104004, 118733, 5486, 112418, 29295, 118937, 30512, 18655, 103950, 106046, 76947, 103013, 103, 30512, 18655, 30369, 23039, 101399, 29295, 58911, 16144, 64531, 22649, 20230, 103721, 233, 29295, 31431, 111476, 61994, 30369, 125231, 110229, 16556, 5486, 120065, 56965, 17885, 238, 10110, 32149, 25827, 81219, 59739, 7705, 30512, 17701, 103468, 31431, 111476, 17129, 108861, 103350, 104983, 5486, 107943, 20230, 37689, 109375, 112535, 71289, 33503, 103470, 111243, 5486, 103350, 104983, 5486, 102508, 103, 107809, 30512, 123044, 104067, 29295, 121410, 9080, 105564, 119188, 121142, 5486, 103198, 96, 45893, 29295, 103082, 100481, 76947, 5486, 116499, 59739, 126145, 102508, 103, 29295, 114715, 64531, 22649, 84389, 100481, 76947, 111476, 123044, 29295, 17, 116298, 102149, 31431, 18904, 103836, 121142, 5486, 20119, 107, 103468, 112303, 110162, 67645, 124592, 25827, 108881, 106824, 35818, 47000, 16995, 100481, 50834, 33541, 55031, 101832, 9174, 109860, 110924, 20230, 112027, 29295, 107991, 118733, 5486, 58911, 16144, 17039, 118741, 31640, 118835, 32977, 113096, 103130, 84389, 100481, 47884, 76947, 95604, 104346, 20230, 91763, 61689, 101832, 9174, 109860, 5486, 117475, 5486, 76739, 26269, 76428, 16144, 105494, 20230, 114516, 29295, 120065, 102780, 31431, 123733, 31431, 103188, 105557, 28713, 118733, 5486, 109683, 16144, 110366, 16144, 5486, 114516, 125030, 76947, 15682, 117976, 102456, 76947, 95604, 25827, 112130, 101832, 121906, 95604, 123017, 47260, 52414, 42634, 64178, 29295, 126120, 32149, 123733, 76947, 50834, 38144, 111476, 117430, 108995, 29295, 103198, 96, 108995, 29295, 5486, 120065, 103496, 98220, 101911, 29295, 114652, 17620, 124403, 76947, 95604, 121894, 5486, 127253, 5486, 109683, 16144, 21990, 107328, 39276, 107809, 16144, 102212, 21990, 34171, 29295, 67645, 124592, 25827, 21388, 123671, 100481, 76947, 111476, 17792, 49792, 109904, 102138, 110162, 105466, 29295, 115079, 107290, 30369, 102677, 105908, 114667, 16556, 123334, 112043, 31431, 125764, 53953, 29295, 114485, 103836, 76947, 95604, 123017, 57903, 33541, 123794, 9174, 102131, 95604, 105879, 5486, 103198, 96, 104698, 76947, 95604, 112973, 72718, 105898, 31431, 39926, 33541, 107493, 32977, 9174, 109860, 5486, 113949, 113073, 16144, 18, 111017, 120264, 29295, 106848, 102416, 89753, 20834, 54926, 100909, 76947, 95604, 112973, 112418, 107809, 77181, 115303, 59739, 5486, 101860, 104043, 78244, 113017, 116233, 107493, 5486, 22649, 101067, 83799, 16556, 9174, 14711, 103993, 110362, 106390, 50211, 68759, 102472, 76428, 16073, 13177, 99750, 112854, 19732, 108396, 111329, 46091, 110362, 106390, 50211, 39850, 125380, 16144, 104356, 35757, 117282, 39850, 33710, 68759, 102472, 6447, 25963, 27479, 16144, 102647, 123680, 111661, 22398, 30512, 106613, 38144, 5486, 127557, 19732, 106222, 116825, 26854, 104699, 39850, 76171, 106384, 104603, 72369, 39880, 119012, 46091, 110362, 106390, 50211, 68759, 102472, 76428, 16073, 9174, 103031, 16144, 30832, 20230, 106482, 30369, 110886, 16144, 104612, 33710, 104309, 5486, 110382, 16556, 67016, 102158, 102204, 100604, 87177, 119568, 19732, 113850, 56965, 104067, 111848, 113495, 39880, 109531, 108506, 16144, 30250, 224, 23039, 5486, 80805, 108941, 115145, 109933, 11972, 26854, 103350, 124299, 71289, 91774, 104655, 16144, 104412, 5486, 103826, 104680, 26854, 106222, 112415, 120270, 5486, 66953, 113335, 68581, 33710, 118219, 105242, 38093, 103296, 1811, 110453, 255, 107809, 96356, 55031, 127557, 103296, 5486, 32335, 95399, 20834, 119432, 109933, 100560, 235, 33710, 9174, 121410, 9953, 20, 9080, 5486, 508, 9080, 102404, 23039, 16556, 9953, 109518, 17048, 35757, 10110, 85188, 104526, 23954, 85707, 9953, 92693, 38641, 9174, 64780, 9953, 108968, 16325, 16144, 125104, 72661, 5486, 9953, 32943, 20230, 102404, 23039, 103646, 39850, 33710, 68759, 102472, 29295, 122617, 109948, 50834, 33541, 9174, 66953, 48552, 96452, 127058, 15682, 117896, 9174, 103188, 86436, 16144, 39850, 33710, 68759, 102472, 30512, 16, 113746, 110904, 25129, 16556, 109198, 17701, 54926, 105908, 125545, 1811, 128001, 128000, 10110, 44620, 19361, 109177, 114083, 118597, 36761, 66115, 18476, 16144, 112959, 103892, 76739, 26269, 64810, 25197, 38641, 1811, 108285, 78943, 16144, 113009, 112798, 103892, 116771, 121298, 109768, 79721, 29295, 5486, 42016, 116044, 66115, 18476, 15682, 17663, 16556, 20230, 105525, 31431, 102769, 33121, 16556, 17701, 46034, 16937, 88367, 102677, 115789, 57903, 5486, 37087, 17161, 30512, 121298, 54926, 120266, 121256, 1811, 124042, 38574, 102936, 117083, 13177, 105021, 102625, 26854, 100604, 103705, 124122, 121821, 16144, 41007, 108048, 15682, 102625, 30512, 61826, 108167, 54926, 100909, 103195, 10646, 15682, 5486, 112361, 119400, 20230, 102181, 102334, 52884, 77750, 77219, 13177, 37026, 103926, 109853, 66383, 110315, 50834, 40862, 30297, 57933, 108941, 119627, 5486, 28713, 104369, 25827, 74482, 112919, 24273, 30512, 61826, 20230, 102181, 102334, 105272, 106046, 61689, 1811, 23954, 44549, 198, 13177, 109177, 107571, 10110, 53, 36040, 735, 25041, 7705, 10646, 102677, 87177, 107407, 1811, 76171, 45923, 16144, 68759, 65299, 104612, 103293, 113146, 10110, 107859, 24186, 25580, 16718, 482, 220, 5245, 8107, 119400, 11571, 7705, 20230, 30250, 94, 104533, 107001, 108323, 87177, 114420, 29295, 5486, 102321, 31640, 72661, 76171, 45923, 16144, 122411, 71289, 120366, 104309, 102052, 120955, 54926, 1811, 109177, 107571, 107118, 5486, 21990, 123606, 106272, 109163, 108055, 30046, 103306, 101662, 13153, 107001, 111184, 103195, 1811, 102491, 31640, 76171, 45923, 41401, 13177, 124042, 104443, 32648, 109453, 66383, 72661, 112844, 125231, 32149, 1811, 58850, 117255, 20230, 5486, 109657, 25827, 121441, 16144, 119400, 55031, 83747, 21105, 248, 59739, 116213, 109013, 109177, 30512, 58318, 105262, 1811, 106956, 100481, 117255, 15682, 77693, 16556, 102625, 104127, 114732, 29295, 121270, 102052, 109177, 113115, 39926, 108038, 26854, 113420, 34171, 114792, 100472, 127032, 29295, 101662, 59739, 10110, 57903, 119841, 119150, 107493, 75376, 58426, 45829, 29295, 58666, 102800, 107571, 20230, 13153, 101544, 56051, 119400, 102052, 5486, 109453, 16144, 33014, 107654, 15682, 109755, 85791, 102800, 121854, 109177, 19732, 33208, 126020, 5486, 120065, 72661, 77693, 20230, 109835, 103468, 114516, 15682, 92776, 102625, 54926, 109807, 111184, 30512, 61075, 107380, 114652, 114737, 16144, 101538, 46729, 20230, 109297, 103306, 106984, 223, 29295, 122101, 105908, 103082, 104984, 121453, 106367, 85707, 103309, 29295, 20648, 222, 33121, 26854, 101538, 121240, 114626, 16144, 103309, 117282, 5486, 102677, 113334, 103195, 9174, 11881, 242, 5486, 15682, 100204, 107436, 51330, 87177, 30512, 104655, 102334, 110018, 36896, 125098, 26854, 101538, 45829, 66383, 15682, 17129, 30813, 20230, 51330, 100909, 32149, 121061, 26854, 5486, 106046, 100472, 10110, 90962, 22398, 107487, 9458, 102756, 106696, 45923, 16144, 118116, 108323, 100927, 47884, 65316, 13177, 125098, 26854, 101538, 45829, 10646, 102052, 16205, 253, 87844, 107113, 105879, 75376, 123726, 106272, 107290, 101538, 25129, 30512, 120321, 105005, 15024, 5486, 46456, 55487, 30046, 103306, 16144, 30358, 111600, 15682, 32977, 19732, 105755, 116898, 101860, 33121, 111098, 76622, 29295, 106956, 92877, 102625, 16144, 107202, 21105, 123, 30512, 106644, 121710, 111842, 26955, 115, 99397, 119775, 103868, 78183, 78183, 107001, 124233, 112586, 5486, 105268, 47884, 58666, 102800, 102185, 106984, 223, 110792, 85707, 107436, 16144, 39209, 78183, 111331, 112661, 122756, 102625, 101832, 104533, 15682, 5486, 101083, 20230, 85701, 20230, 17129, 30813, 30369, 125098, 107407, 108995, 32149, 6447, 220, 39926, 64121, 104533, 109177, 107571, 107118, 108048, 30512, 11883, 107991, 105226, 105838, 46729, 125030, 76947, 15682, 28713, 67016, 20230, 104443, 32648, 20230, 121953, 100604, 29295, 108048, 113468, 109163, 108055, 107001, 101890, 254, 17044, 110, 30046, 125030, 76947, 15682, 5486, 57237, 103005, 30512, 32977, 127567, 17663, 58850, 101365, 107173, 16995, 105262, 105933, 48706, 103195, 109807, 101538, 124863, 5486, 126920, 58426, 107571, 29295, 109163, 108055, 30046, 118816, 95221, 109669, 32149, 104435, 120900, 32149, 1811, 103350, 15682, 122617, 30512, 53283, 76947, 102532, 101682, 76622, 17701, 103468, 16144, 111769, 108995, 32149, 114318, 107750, 102334, 47884, 109020, 108680, 103195, 9174, 30813, 38144, 36896, 33014, 107654, 15682, 109755, 85791, 102800, 66383, 95604, 112973, 110371, 108323, 87177, 16144, 100927, 120117, 108995, 32149, 11571, 220, 77693, 107173, 13177, 58850, 15682, 109755, 85791, 102800, 66383, 95604, 100909, 108995, 32149, 11571, 220, 107173, 20230, 33476, 1811, 117475, 16144, 100927, 120117, 15682, 36896, 123726, 30369, 109335, 109755, 85791, 102800, 66383, 95604, 100909, 36785, 1811, 26854, 112371, 105110, 5486, 123726, 30369, 109335, 102012, 110993, 9554, 102052, 13177, 105994, 102677, 33014, 107654, 16144, 121894, 30512, 109205, 69978, 54926, 100909, 10646, 116787, 5486, 67016, 32977, 33014, 107654, 102677, 104468, 5486, 105994, 77181, 104405, 105352, 47260, 52414, 42634, 64178, 118765, 102944, 109860, 103195, 1811, 121410, 117073, 102456, 30926, 121960, 5486, 53900, 17792, 71289, 117501, 110792, 39209, 116547, 121960, 5486, 108064, 5486, 67645, 103171, 108901, 53953, 29295, 110924, 20230, 107960, 17701, 15024, 5486, 102625, 20230, 57237, 30369, 103429, 124259, 102404, 77413, 54926, 32149, 17620, 124403, 113637, 109755, 85791, 21105, 243, 114475, 76622, 17701, 104028, 102677, 105908, 114318, 31431, 32977, 126738, 30813, 101860, 123726, 30369, 102677, 120266, 102717, 32149, 105110, 100604, 1811, 127091, 17620, 124403, 102944, 30512, 13177, 101682, 76622, 17701, 104028, 10646, 100909, 127105, 5486, 123726, 53953, 16144, 32335, 32977, 121602, 47884, 125231, 106556, 111769, 108995, 32149, 8713, 43514, 107106, 67645, 108149, 16144, 101538, 45829, 29295, 109177, 107571, 114475, 76622, 17701, 103468, 104466, 9174, 13177, 101682, 76622, 17701, 104028, 117503, 95543, 103359, 29295, 13177, 80988, 239, 105714, 30369, 10646, 103195, 1811, 105104, 59739, 30297, 15682, 13177, 80988, 239, 105714, 30369, 117503, 24273, 29295, 5486, 107202, 111108, 71289, 116875, 108324, 30512, 15682, 101832, 16144, 107441, 123726, 30369, 120266, 102971, 102802, 59739, 47884, 107328, 27479, 118816, 110731, 32149, 121061, 1811, 26854, 112371, 105110, 13177, 80988, 239, 105714, 30369, 10646, 15682, 108882, 110993, 9554, 16556, 119254, 30512, 32018, 109315, 107328, 27479, 30512, 115552, 54926, 110115, 103359, 15024, 36896, 101682, 76622, 17701, 104028, 10646, 15682, 101682, 91875, 9554, 16556, 33014, 44416, 110480, 106608, 109904, 101790, 99, 104611, 103195, 116421, 104466, 91763, 78183, 115032, 55031, 103195, 119520, 115847, 15682, 125144, 76947, 115552, 109669, 76622, 109115, 103359, 80195, 36785, 66327, 80988, 239, 105714, 30369, 66383, 15682, 5486, 110904, 20230, 119049, 107079, 30512, 126238, 105714, 124545, 120266, 120195, 100604, 16144, 103195, 109900, 113115, 39926, 13177, 101682, 76622, 17701, 104028, 66383, 15682, 119049, 107079, 30512, 13870, 249, 100783, 102, 124545, 100909, 103195, 1811, 118958, 112415, 125030, 76947, 15682, 67645, 112384, 32977, 27384, 102769, 116787, 5486, 67645, 112384, 29295, 108882, 110993, 9554, 16556, 67645, 112384, 29295, 33420, 110993, 9554, 104309, 102677, 24775, 103283, 120937, 1811, 90620, 115303, 59739, 105184, 107188, 109335, 5486, 13870, 249, 100783, 102, 15682, 126238, 105714, 126036, 112772, 101182, 102677, 100909, 36896, 101682, 76622, 17701, 104028, 10646, 15682, 13177, 80988, 239, 105714, 30369, 10646, 126036, 118958, 125030, 76947, 5486, 105755, 102831, 39084, 109904, 107328, 27479, 36785, 102677, 100909, 103195, 9174, 13177, 80988, 239, 105714, 30369, 66383, 15682, 110567, 47884, 109020, 100909, 5486, 102159, 33014, 20230, 60358, 16995, 121894, 108176, 100909, 103195, 109900, 113115, 39926, 13177, 101682, 76622, 17701, 104028, 66383, 15682, 100783, 102, 104004, 100909, 5486, 107654, 33014, 20230, 60358, 47884, 109020, 100909, 36785, 1811, 110241, 32977, 102625, 102677, 102944, 29295, 5486, 112027, 16144, 111006, 16144, 106391, 67178, 29295, 100783, 102, 64121, 5486, 102099, 19732, 48915, 98220, 110792, 103496, 98220, 29295, 21388, 78183, 106824, 110164, 121040, 109904, 53953, 105284, 16144, 89753, 33121, 124259, 42016, 33208, 39926, 106644, 47884, 100909, 118816, 126693, 5486, 102625, 32977, 53900, 13177, 101682, 76622, 17701, 104028, 66383, 95604, 113266, 112028, 110366, 28190, 103195, 66327, 80988, 239, 105714, 30369, 10646, 23039, 101399, 103306, 21405, 47523, 103646, 21990, 29295, 121906, 56051, 13870, 249, 100783, 102, 9458, 42016, 33208, 103306, 16144, 102625, 113115, 39926, 104328, 28713, 17663, 33503, 116875, 108324, 54926, 112415, 103195, 110115, 103359, 39926, 36896, 101682, 76622, 17701, 104028, 10646, 23039, 101399, 103306, 16144, 21990, 107118, 116898, 78183, 81219, 102625, 30512, 123274, 20230, 108623, 50834, 32149, 32149, 107800, 21990, 103195, 124845, 117896, 120332, 15682, 5486, 80988, 239, 105714, 30369, 100909, 5486, 110567, 47884, 109020, 106592, 120853, 102189, 31431, 15682, 21105, 103, 16995, 1811, 118116, 101538, 45829, 32977, 5486, 31540, 103926, 16995, 102185, 106984, 223, 16144, 112772, 127637, 15682, 110567, 115737, 31431, 5486, 80539, 13870, 249, 100783, 102, 56051, 1811, 112415, 19732, 102625, 30512, 89046, 106307, 56051, 112361, 21990, 16144, 107420, 64810, 22398, 103306, 113954, 54926, 112973, 13177, 101682, 76622, 17701, 104028, 66383, 95604, 100909, 103195, 9174, 13177, 1981, 119049, 107079, 16144, 126238, 105714, 29295, 109020, 103854, 47884, 83747, 100604, 5486, 123457, 113487, 102532, 50338, 54322, 103646, 107654, 33014, 109904, 121894, 16144, 99750, 112854, 29295, 5486, 123726, 100934, 114516, 16144, 55031, 36785, 16144, 57903, 24273, 10110, 91875, 50834, 120732, 75146, 17920, 236, 99750, 112854, 103195, 125231, 118816, 122571, 113727, 100934, 115204, 10110, 102212 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64121, 53953, 103306, 32977, 106241, 127075, 26854, 83799, 16556, 61304, 39926, 120700, 101732, 104127, 111476, 105321, 32149, 98499, 64121, 106272, 102472, 123428, 89154, 106240, 115226, 26854, 36896, 102131, 36785, 102131, 36785, 10646, 115226, 26854, 1811, 101704, 21105, 114, 112586, 53900, 102131, 95604, 22656, 19732, 20834, 38093, 107290, 9174, 17129, 108861, 107943, 32335, 16325, 38641, 107493, 5486, 108729, 9554, 102052, 23, 111017, 24273, 5486, 105464, 29295, 37271, 15682, 116467, 103605, 39926, 5486, 30297, 62004, 50834, 106272, 103302, 126694, 76947, 108048, 103378, 118816, 101851, 106, 50520, 108, 17129, 42891, 104702, 30297, 104127, 5486, 40862, 122756, 103013, 103, 30512, 111017, 100472, 31431, 5486, 40198, 239, 71289, 100472, 31431, 76947, 95604, 111476, 105994, 9554, 102052, 111006, 16144, 112258, 249, 91779, 105, 32977, 96412, 107436, 5486, 58911, 30512, 105564, 50834, 18904, 30369, 9080, 104680, 105321, 38641, 107493, 9174, 102131, 125338, 114516, 29295, 109683, 19732, 70349, 58911, 16144, 5486, 114516, 106222, 16144, 76739, 26269, 76428, 16144, 105494, 20230, 108056, 19732, 101987, 104004, 118733, 5486, 112418, 29295, 118937, 30512, 18655, 103950, 106046, 76947, 103013, 103, 30512, 18655, 30369, 23039, 101399, 29295, 58911, 16144, 64531, 22649, 20230, 103721, 233, 29295, 31431, 111476, 61994, 30369, 125231, 110229, 16556, 5486, 120065, 56965, 17885, 238, 10110, 32149, 25827, 81219, 59739, 7705, 30512, 17701, 103468, 31431, 111476, 17129, 108861, 103350, 104983, 5486, 107943, 20230, 37689, 109375, 112535, 71289, 33503, 103470, 111243, 5486, 103350, 104983, 5486, 102508, 103, 107809, 30512, 123044, 104067, 29295, 121410, 9080, 105564, 119188, 121142, 5486, 103198, 96, 45893, 29295, 103082, 100481, 76947, 5486, 116499, 59739, 126145, 102508, 103, 29295, 114715, 64531, 22649, 84389, 100481, 76947, 111476, 123044, 29295, 17, 116298, 102149, 31431, 18904, 103836, 121142, 5486, 20119, 107, 103468, 112303, 110162, 67645, 124592, 25827, 108881, 106824, 35818, 47000, 16995, 100481, 50834, 33541, 55031, 101832, 9174, 109860, 110924, 20230, 112027, 29295, 107991, 118733, 5486, 58911, 16144, 17039, 118741, 31640, 118835, 32977, 113096, 103130, 84389, 100481, 47884, 76947, 95604, 104346, 20230, 91763, 61689, 101832, 9174, 109860, 5486, 117475, 5486, 76739, 26269, 76428, 16144, 105494, 20230, 114516, 29295, 120065, 102780, 31431, 123733, 31431, 103188, 105557, 28713, 118733, 5486, 109683, 16144, 110366, 16144, 5486, 114516, 125030, 76947, 15682, 117976, 102456, 76947, 95604, 25827, 112130, 101832, 121906, 95604, 123017, 47260, 52414, 42634, 64178, 29295, 126120, 32149, 123733, 76947, 50834, 38144, 111476, 117430, 108995, 29295, 103198, 96, 108995, 29295, 5486, 120065, 103496, 98220, 101911, 29295, 114652, 17620, 124403, 76947, 95604, 121894, 5486, 127253, 5486, 109683, 16144, 21990, 107328, 39276, 107809, 16144, 102212, 21990, 34171, 29295, 67645, 124592, 25827, 21388, 123671, 100481, 76947, 111476, 17792, 49792, 109904, 102138, 110162, 105466, 29295, 115079, 107290, 30369, 102677, 105908, 114667, 16556, 123334, 112043, 31431, 125764, 53953, 29295, 114485, 103836, 76947, 95604, 123017, 57903, 33541, 123794, 9174, 102131, 95604, 105879, 5486, 103198, 96, 104698, 76947, 95604, 112973, 72718, 105898, 31431, 39926, 33541, 107493, 32977, 9174, 109860, 5486, 113949, 113073, 16144, 18, 111017, 120264, 29295, 106848, 102416, 89753, 20834, 54926, 100909, 76947, 95604, 112973, 112418, 107809, 77181, 115303, 59739, 5486, 101860, 104043, 78244, 113017, 116233, 107493, 5486, 22649, 101067, 83799, 16556, 9174, 14711, 103993, 110362, 106390, 50211, 68759, 102472, 76428, 16073, 13177, 99750, 112854, 19732, 108396, 111329, 46091, 110362, 106390, 50211, 39850, 125380, 16144, 104356, 35757, 117282, 39850, 33710, 68759, 102472, 6447, 25963, 27479, 16144, 102647, 123680, 111661, 22398, 30512, 106613, 38144, 5486, 127557, 19732, 106222, 116825, 26854, 104699, 39850, 76171, 106384, 104603, 72369, 39880, 119012, 46091, 110362, 106390, 50211, 68759, 102472, 76428, 16073, 9174, 103031, 16144, 30832, 20230, 106482, 30369, 110886, 16144, 104612, 33710, 104309, 5486, 110382, 16556, 67016, 102158, 102204, 100604, 87177, 119568, 19732, 113850, 56965, 104067, 111848, 113495, 39880, 109531, 108506, 16144, 30250, 224, 23039, 5486, 80805, 108941, 115145, 109933, 11972, 26854, 103350, 124299, 71289, 91774, 104655, 16144, 104412, 5486, 103826, 104680, 26854, 106222, 112415, 120270, 5486, 66953, 113335, 68581, 33710, 118219, 105242, 38093, 103296, 1811, 110453, 255, 107809, 96356, 55031, 127557, 103296, 5486, 32335, 95399, 20834, 119432, 109933, 100560, 235, 33710, 9174, 121410, 9953, 20, 9080, 5486, 508, 9080, 102404, 23039, 16556, 9953, 109518, 17048, 35757, 10110, 85188, 104526, 23954, 85707, 9953, 92693, 38641, 9174, 64780, 9953, 108968, 16325, 16144, 125104, 72661, 5486, 9953, 32943, 20230, 102404, 23039, 103646, 39850, 33710, 68759, 102472, 29295, 122617, 109948, 50834, 33541, 9174, 66953, 48552, 96452, 127058, 15682, 117896, 9174, 103188, 86436, 16144, 39850, 33710, 68759, 102472, 30512, 16, 113746, 110904, 25129, 16556, 109198, 17701, 54926, 105908, 125545, 1811, 128001, 128000, 10110, 44620, 19361, 109177, 114083, 118597, 36761, 66115, 18476, 16144, 112959, 103892, 76739, 26269, 64810, 25197, 38641, 1811, 108285, 78943, 16144, 113009, 112798, 103892, 116771, 121298, 109768, 79721, 29295, 5486, 42016, 116044, 66115, 18476, 15682, 17663, 16556, 20230, 105525, 31431, 102769, 33121, 16556, 17701, 46034, 16937, 88367, 102677, 115789, 57903, 5486, 37087, 17161, 30512, 121298, 54926, 120266, 121256, 1811, 124042, 38574, 102936, 117083, 13177, 105021, 102625, 26854, 100604, 103705, 124122, 121821, 16144, 41007, 108048, 15682, 102625, 30512, 61826, 108167, 54926, 100909, 103195, 10646, 15682, 5486, 112361, 119400, 20230, 102181, 102334, 52884, 77750, 77219, 13177, 37026, 103926, 109853, 66383, 110315, 50834, 40862, 30297, 57933, 108941, 119627, 5486, 28713, 104369, 25827, 74482, 112919, 24273, 30512, 61826, 20230, 102181, 102334, 105272, 106046, 61689, 1811, 23954, 44549, 198, 13177, 109177, 107571, 10110, 53, 36040, 735, 25041, 7705, 10646, 102677, 87177, 107407, 1811, 76171, 45923, 16144, 68759, 65299, 104612, 103293, 113146, 10110, 107859, 24186, 25580, 16718, 482, 220, 5245, 8107, 119400, 11571, 7705, 20230, 30250, 94, 104533, 107001, 108323, 87177, 114420, 29295, 5486, 102321, 31640, 72661, 76171, 45923, 16144, 122411, 71289, 120366, 104309, 102052, 120955, 54926, 1811, 109177, 107571, 107118, 5486, 21990, 123606, 106272, 109163, 108055, 30046, 103306, 101662, 13153, 107001, 111184, 103195, 1811, 102491, 31640, 76171, 45923, 41401, 13177, 124042, 104443, 32648, 109453, 66383, 72661, 112844, 125231, 32149, 1811, 58850, 117255, 20230, 5486, 109657, 25827, 121441, 16144, 119400, 55031, 83747, 21105, 248, 59739, 116213, 109013, 109177, 30512, 58318, 105262, 1811, 106956, 100481, 117255, 15682, 77693, 16556, 102625, 104127, 114732, 29295, 121270, 102052, 109177, 113115, 39926, 108038, 26854, 113420, 34171, 114792, 100472, 127032, 29295, 101662, 59739, 10110, 57903, 119841, 119150, 107493, 75376, 58426, 45829, 29295, 58666, 102800, 107571, 20230, 13153, 101544, 56051, 119400, 102052, 5486, 109453, 16144, 33014, 107654, 15682, 109755, 85791, 102800, 121854, 109177, 19732, 33208, 126020, 5486, 120065, 72661, 77693, 20230, 109835, 103468, 114516, 15682, 92776, 102625, 54926, 109807, 111184, 30512, 61075, 107380, 114652, 114737, 16144, 101538, 46729, 20230, 109297, 103306, 106984, 223, 29295, 122101, 105908, 103082, 104984, 121453, 106367, 85707, 103309, 29295, 20648, 222, 33121, 26854, 101538, 121240, 114626, 16144, 103309, 117282, 5486, 102677, 113334, 103195, 9174, 11881, 242, 5486, 15682, 100204, 107436, 51330, 87177, 30512, 104655, 102334, 110018, 36896, 125098, 26854, 101538, 45829, 66383, 15682, 17129, 30813, 20230, 51330, 100909, 32149, 121061, 26854, 5486, 106046, 100472, 10110, 90962, 22398, 107487, 9458, 102756, 106696, 45923, 16144, 118116, 108323, 100927, 47884, 65316, 13177, 125098, 26854, 101538, 45829, 10646, 102052, 16205, 253, 87844, 107113, 105879, 75376, 123726, 106272, 107290, 101538, 25129, 30512, 120321, 105005, 15024, 5486, 46456, 55487, 30046, 103306, 16144, 30358, 111600, 15682, 32977, 19732, 105755, 116898, 101860, 33121, 111098, 76622, 29295, 106956, 92877, 102625, 16144, 107202, 21105, 123, 30512, 106644, 121710, 111842, 26955, 115, 99397, 119775, 103868, 78183, 78183, 107001, 124233, 112586, 5486, 105268, 47884, 58666, 102800, 102185, 106984, 223, 110792, 85707, 107436, 16144, 39209, 78183, 111331, 112661, 122756, 102625, 101832, 104533, 15682, 5486, 101083, 20230, 85701, 20230, 17129, 30813, 30369, 125098, 107407, 108995, 32149, 6447, 220, 39926, 64121, 104533, 109177, 107571, 107118, 108048, 30512, 11883, 107991, 105226, 105838, 46729, 125030, 76947, 15682, 28713, 67016, 20230, 104443, 32648, 20230, 121953, 100604, 29295, 108048, 113468, 109163, 108055, 107001, 101890, 254, 17044, 110, 30046, 125030, 76947, 15682, 5486, 57237, 103005, 30512, 32977, 127567, 17663, 58850, 101365, 107173, 16995, 105262, 105933, 48706, 103195, 109807, 101538, 124863, 5486, 126920, 58426, 107571, 29295, 109163, 108055, 30046, 118816, 95221, 109669, 32149, 104435, 120900, 32149, 1811, 103350, 15682, 122617, 30512, 53283, 76947, 102532, 101682, 76622, 17701, 103468, 16144, 111769, 108995, 32149, 114318, 107750, 102334, 47884, 109020, 108680, 103195, 9174, 30813, 38144, 36896, 33014, 107654, 15682, 109755, 85791, 102800, 66383, 95604, 112973, 110371, 108323, 87177, 16144, 100927, 120117, 108995, 32149, 11571, 220, 77693, 107173, 13177, 58850, 15682, 109755, 85791, 102800, 66383, 95604, 100909, 108995, 32149, 11571, 220, 107173, 20230, 33476, 1811, 117475, 16144, 100927, 120117, 15682, 36896, 123726, 30369, 109335, 109755, 85791, 102800, 66383, 95604, 100909, 36785, 1811, 26854, 112371, 105110, 5486, 123726, 30369, 109335, 102012, 110993, 9554, 102052, 13177, 105994, 102677, 33014, 107654, 16144, 121894, 30512, 109205, 69978, 54926, 100909, 10646, 116787, 5486, 67016, 32977, 33014, 107654, 102677, 104468, 5486, 105994, 77181, 104405, 105352, 47260, 52414, 42634, 64178, 118765, 102944, 109860, 103195, 1811, 121410, 117073, 102456, 30926, 121960, 5486, 53900, 17792, 71289, 117501, 110792, 39209, 116547, 121960, 5486, 108064, 5486, 67645, 103171, 108901, 53953, 29295, 110924, 20230, 107960, 17701, 15024, 5486, 102625, 20230, 57237, 30369, 103429, 124259, 102404, 77413, 54926, 32149, 17620, 124403, 113637, 109755, 85791, 21105, 243, 114475, 76622, 17701, 104028, 102677, 105908, 114318, 31431, 32977, 126738, 30813, 101860, 123726, 30369, 102677, 120266, 102717, 32149, 105110, 100604, 1811, 127091, 17620, 124403, 102944, 30512, 13177, 101682, 76622, 17701, 104028, 10646, 100909, 127105, 5486, 123726, 53953, 16144, 32335, 32977, 121602, 47884, 125231, 106556, 111769, 108995, 32149, 8713, 43514, 107106, 67645, 108149, 16144, 101538, 45829, 29295, 109177, 107571, 114475, 76622, 17701, 103468, 104466, 9174, 13177, 101682, 76622, 17701, 104028, 117503, 95543, 103359, 29295, 13177, 80988, 239, 105714, 30369, 10646, 103195, 1811, 105104, 59739, 30297, 15682, 13177, 80988, 239, 105714, 30369, 117503, 24273, 29295, 5486, 107202, 111108, 71289, 116875, 108324, 30512, 15682, 101832, 16144, 107441, 123726, 30369, 120266, 102971, 102802, 59739, 47884, 107328, 27479, 118816, 110731, 32149, 121061, 1811, 26854, 112371, 105110, 13177, 80988, 239, 105714, 30369, 10646, 15682, 108882, 110993, 9554, 16556, 119254, 30512, 32018, 109315, 107328, 27479, 30512, 115552, 54926, 110115, 103359, 15024, 36896, 101682, 76622, 17701, 104028, 10646, 15682, 101682, 91875, 9554, 16556, 33014, 44416, 110480, 106608, 109904, 101790, 99, 104611, 103195, 116421, 104466, 91763, 78183, 115032, 55031, 103195, 119520, 115847, 15682, 125144, 76947, 115552, 109669, 76622, 109115, 103359, 80195, 36785, 66327, 80988, 239, 105714, 30369, 66383, 15682, 5486, 110904, 20230, 119049, 107079, 30512, 126238, 105714, 124545, 120266, 120195, 100604, 16144, 103195, 109900, 113115, 39926, 13177, 101682, 76622, 17701, 104028, 66383, 15682, 119049, 107079, 30512, 13870, 249, 100783, 102, 124545, 100909, 103195, 1811, 118958, 112415, 125030, 76947, 15682, 67645, 112384, 32977, 27384, 102769, 116787, 5486, 67645, 112384, 29295, 108882, 110993, 9554, 16556, 67645, 112384, 29295, 33420, 110993, 9554, 104309, 102677, 24775, 103283, 120937, 1811, 90620, 115303, 59739, 105184, 107188, 109335, 5486, 13870, 249, 100783, 102, 15682, 126238, 105714, 126036, 112772, 101182, 102677, 100909, 36896, 101682, 76622, 17701, 104028, 10646, 15682, 13177, 80988, 239, 105714, 30369, 10646, 126036, 118958, 125030, 76947, 5486, 105755, 102831, 39084, 109904, 107328, 27479, 36785, 102677, 100909, 103195, 9174, 13177, 80988, 239, 105714, 30369, 66383, 15682, 110567, 47884, 109020, 100909, 5486, 102159, 33014, 20230, 60358, 16995, 121894, 108176, 100909, 103195, 109900, 113115, 39926, 13177, 101682, 76622, 17701, 104028, 66383, 15682, 100783, 102, 104004, 100909, 5486, 107654, 33014, 20230, 60358, 47884, 109020, 100909, 36785, 1811, 110241, 32977, 102625, 102677, 102944, 29295, 5486, 112027, 16144, 111006, 16144, 106391, 67178, 29295, 100783, 102, 64121, 5486, 102099, 19732, 48915, 98220, 110792, 103496, 98220, 29295, 21388, 78183, 106824, 110164, 121040, 109904, 53953, 105284, 16144, 89753, 33121, 124259, 42016, 33208, 39926, 106644, 47884, 100909, 118816, 126693, 5486, 102625, 32977, 53900, 13177, 101682, 76622, 17701, 104028, 66383, 95604, 113266, 112028, 110366, 28190, 103195, 66327, 80988, 239, 105714, 30369, 10646, 23039, 101399, 103306, 21405, 47523, 103646, 21990, 29295, 121906, 56051, 13870, 249, 100783, 102, 9458, 42016, 33208, 103306, 16144, 102625, 113115, 39926, 104328, 28713, 17663, 33503, 116875, 108324, 54926, 112415, 103195, 110115, 103359, 39926, 36896, 101682, 76622, 17701, 104028, 10646, 23039, 101399, 103306, 16144, 21990, 107118, 116898, 78183, 81219, 102625, 30512, 123274, 20230, 108623, 50834, 32149, 32149, 107800, 21990, 103195, 124845, 117896, 120332, 15682, 5486, 80988, 239, 105714, 30369, 100909, 5486, 110567, 47884, 109020, 106592, 120853, 102189, 31431, 15682, 21105, 103, 16995, 1811, 118116, 101538, 45829, 32977, 5486, 31540, 103926, 16995, 102185, 106984, 223, 16144, 112772, 127637, 15682, 110567, 115737, 31431, 5486, 80539, 13870, 249, 100783, 102, 56051, 1811, 112415, 19732, 102625, 30512, 89046, 106307, 56051, 112361, 21990, 16144, 107420, 64810, 22398, 103306, 113954, 54926, 112973, 13177, 101682, 76622, 17701, 104028, 66383, 95604, 100909, 103195, 9174, 13177, 1981, 119049, 107079, 16144, 126238, 105714, 29295, 109020, 103854, 47884, 83747, 100604, 5486, 123457, 113487, 102532, 50338, 54322, 103646, 107654, 33014, 109904, 121894, 16144, 99750, 112854, 29295, 5486, 123726, 100934, 114516, 16144, 55031, 36785, 16144, 57903, 24273, 10110, 91875, 50834, 120732, 75146, 17920, 236, 99750, 112854, 103195, 125231, 118816, 122571, 113727, 100934, 115204, 10110, 102212 ]
[ 40526, 46091, 103633, 46091, 44620, 53229, 85707, 118958, 33014, 103306, 16144, 114516, 36761, 79, 13, 508, 103993, 17925, 254, 102181, 102064, 5486, 4468, 17, 8107, 7705, 17792, 21990, 30512, 33014, 107654, 102677, 114181, 28542, 55031, 113954, 54926, 109335, 5486, 114516, 29295, 85701, 103296, 105623, 226, 108882, 39926, 105898, 102616, 114181, 71289, 17792, 21990, 114181, 20230, 117119, 32149, 17039, 102800, 102944, 16144, 91774, 24273, 30512, 122382, 21601, 105262, 102677, 100909, 111769, 1811, 104004, 15024, 85791, 95543, 103359, 20230, 115847, 103296, 74482, 21990, 27384, 30926, 20230, 21105, 234, 64121, 59739, 102532, 105898, 40053, 109375, 71289, 33035, 104611, 30512, 13177, 15017, 101, 125655, 66383, 95604, 100909, 103195, 1811, 67645, 119775, 123457, 17701, 104028, 125231, 32149, 126194, 36896, 16995, 111201, 39926, 123457, 113487, 47884, 32149, 66383, 95604, 106592, 5486, 102212, 40526, 46091, 103633, 46091, 15682, 78698, 107800, 1811, 123457, 113487, 47884, 100909, 113468, 5486, 111006, 30512, 110135, 19732, 119049, 107079, 16556, 106084, 28713, 126238, 28741, 26854, 106391, 67178, 33014, 102677, 111006, 99750, 112854, 30512, 5486, 108152, 32131, 108152, 32131, 21441, 118, 33121, 91875, 47884, 107654, 33014, 16144, 17701, 100472, 110898, 103306, 113954, 54926, 16144, 103195, 109807, 105908, 124563, 112371, 107943, 20230, 107693, 26854, 120900, 32149, 95532, 119852, 64121, 104984, 122582, 13177, 102625, 26854, 100604, 10646, 103846, 126529, 103195, 1811, 44620, 102625, 26854, 100604, 113009, 36761, 102677, 102700, 19967, 32977, 101182, 58666, 103991, 46729, 16144, 118448, 101701, 23951, 19967, 29295, 112160, 118288, 8107, 66224, 34617, 97049, 16556, 109988, 115737, 100472, 104468, 5486, 103698, 106624, 32977, 116622, 16144, 29504, 80195, 127123, 58666, 103991, 104517, 16556, 13177, 102625, 26854, 100604, 124122, 101161, 105, 37705, 66383, 95604, 103031, 16144, 106942, 77413, 29295, 87447, 32149, 115032, 32335, 16325, 16144, 100909, 103351, 1811, 118448, 101701, 15682, 102625, 102189, 1811, 123682, 32977, 107943, 109335, 67645, 112384, 72661, 104712, 1811, 103031, 16144, 78244, 106358, 13177, 102625, 26854, 100604, 66383, 95604, 121894, 107118, 5486, 21990, 19732, 102625, 19732, 30512, 55999, 20230, 96412, 64121, 22957, 104004, 17039, 102800, 21990, 30512, 122635, 54926, 100909, 109860, 103195, 66327, 102625, 26854, 100604, 10646, 124122, 121821, 16144, 41007, 108048, 15682, 102625, 30512, 61826, 108167, 54926, 100909, 103195, 1811, 112832, 32977, 29295, 115364, 109177, 107571, 114475, 76622, 17701, 104028, 100909, 36785, 1811, 21990, 19732, 102625, 107118, 110904, 116254, 113115, 80195, 103792, 16144, 126194, 5486, 106483, 119178, 28741, 30177, 20230, 117139, 64121, 40862, 103836, 1811, 104328, 28713, 17663, 33503, 105509, 71289, 109337, 51609, 20230, 116043, 100815, 112990, 21990, 15682, 118448, 25766, 225, 39926, 106644, 47884, 1811, 102625, 30512, 61826, 108167, 54926, 118733, 13177, 102625, 26854, 100604, 10646, 101200, 108176, 109335, 5486, 114715, 32977, 114181, 104611, 9554, 9458, 116602, 47523, 109904, 112690, 109739, 102802, 104309, 111769, 1811, 104004, 15024, 85791, 17599, 117, 104792, 39926, 113723, 53953, 105242, 109904, 107328, 27479, 103195, 1811, 17792, 21990, 30512, 33014, 107654, 16144, 89753, 33121, 103306, 113954, 54926, 104468, 121906, 56051, 107328, 27479, 30512, 32335, 32977, 31958, 105184, 20230, 20379, 17663, 102944, 36785, 1811, 128001, 128000, 13177, 123120, 16144, 110904, 116254, 33208, 29295, 101171, 111, 16144, 122502, 50834, 30512, 13079, 108, 58942, 124545, 59712, 100927, 119841, 24273, 29295, 115350, 15682, 16144, 102802, 30369, 13177, 91482, 64178, 15682, 25963, 34617, 97049, 16556, 120111, 108176, 10646, 16449, 31195, 114516, 102052, 123213, 37507, 69978, 103836, 48864, 108710, 16144, 67016, 28713, 115991, 33541, 1811, 101171, 111, 29295, 17039, 102800, 106592, 48864, 108710, 54926, 39850, 71493, 78683, 78525, 91062, 16144, 100909, 38641, 1811, 1569, 103, 116531, 123570, 124606, 117812, 7, 106556, 122401, 49792, 48864, 120690, 8, 77181, 5486, 114516, 16144, 123120, 30512, 101171, 111, 16144, 122502, 50834, 24273, 102677, 103984, 28542, 55031, 106596, 15024, 5486, 110924, 55031, 48864, 108710, 16144, 57903, 24273, 30512, 113727, 33541, 9174, 14711, 220, 20713, 60596, 45631, 78183, 102518, 32149, 91006, 19732, 104655, 47884, 110018, 16144, 64209, 106391, 58942, 198, 13177, 78183, 117295, 59712, 78183, 124403, 66383, 95604, 112690, 15682, 5486, 122984, 103646, 31431, 100927, 58942, 109115, 31431, 56051, 110018, 16144, 106116, 44915, 113115, 54926, 113954, 16144, 121894, 16144, 37026, 112854, 9554, 21405, 102321, 109860, 103195, 1811, 100927, 58942, 109115, 44915, 30512, 5486, 17663, 16556, 20230, 115364, 101171, 111, 63072, 101365, 106613, 39276, 107809, 105352, 103836, 112690, 115287, 31431, 5486, 123120, 99750, 112854, 115287, 31431, 54926, 102944, 30512, 46034, 29295, 107277, 103306, 19732, 33503, 107800, 106116, 107707, 37026, 112854, 16144, 121894, 30512, 21405, 102321, 56051, 102944, 126529, 103195, 9174, 56051, 29295, 76947, 36896, 78183, 102518, 32149, 91006, 19732, 104655, 102334, 110366, 16144, 44915, 19732, 36896, 78183, 102518, 66383, 103899, 107800, 110366, 16144, 44915, 107118, 5486, 32149, 105110, 101860, 15024, 32977, 15120, 105260, 39926, 112987, 100604, 1811, 114774, 5486, 104004, 15024, 85791, 15120, 105260, 109768, 100604, 24273, 29295, 43240, 117714, 111769, 32149, 1811, 122984, 56051, 31431, 100927, 107800, 31431, 54926, 110366, 29295, 25197, 126989, 103792, 44915, 71289, 111006, 99750, 112854, 19732, 5486, 122984, 107001, 110366, 5486, 100927, 58942, 110071, 110366, 29295, 69978, 103836, 25197, 126989, 71289, 111006, 99750, 112854, 15682, 112361, 111769, 109900, 33503, 15682, 5486, 106613, 111186, 29295, 19967, 31431, 121406, 102944, 109860, 103195, 1811, 106613, 111186, 29295, 108010, 116285, 5486, 19967, 110071, 25197, 126989, 71289, 111006, 99750, 112854, 32977, 112672, 108901, 26854, 76947, 109749, 9174, 112690, 32977, 53900, 112361, 103195, 66327, 126574, 58911, 66383, 32149, 13177, 113786, 15682, 117759, 16995, 66383, 16995, 100472, 112825, 110904, 26854, 112690, 16556, 30813, 58942, 5486, 50211, 53229, 20230, 101987, 126559, 30046, 19732, 58911, 125211, 30590, 115351, 20230, 101987, 126559, 30046, 5486, 104840, 121867, 119208, 16144, 30046, 19732, 117759, 16995, 119208, 16144, 30046, 77181, 5486, 112361, 115552, 114792, 28713, 100604, 1811, 112690, 15682, 5486, 106613, 111186, 19732, 105360, 23039, 39926, 5486, 101182, 16995, 15682, 106613, 111186, 30512, 64531, 22649, 54926, 16325, 16556, 33655, 78183, 106824, 109749, 55031, 103195, 1811, 56051, 29295, 76947, 5486, 125821, 109242, 122202, 26854, 44915, 16144, 30926, 120910, 5486, 106613, 111186, 30512, 74090, 55038, 116446, 16144, 113954, 29295, 109215, 26854, 30926, 120910, 30512, 113954, 54926, 104468, 5486, 103350, 20230, 27384, 104721, 26854, 100909, 103195, 9174, 112690, 71289, 111629, 16556, 122984, 103646, 106592, 108048, 30512, 122984, 56051, 30046, 29295, 25197, 126989, 103792, 16144, 19732, 112361, 44915, 71289, 111006, 99750, 112854, 114792, 59739, 105908, 108608, 102052, 5486, 122984, 56051, 30046, 19732, 36149, 228, 67645, 42016, 50667, 32149, 77693, 71689, 16144, 123120, 106613, 111186, 30512, 15024, 5486, 112690, 113245, 21405, 102321, 109853, 32977, 42016, 50667, 32149, 77693, 71689, 16144, 106613, 111186, 30512, 39926, 50834, 100934, 102677, 105908, 109215, 103195, 109807, 106613, 111186, 30512, 46034, 29295, 107277, 103306, 27704, 107436, 5486, 84851, 108867, 108608, 16144, 103195, 9174, 59739, 109709, 5486, 122984, 30512, 39926, 13177, 78183, 102518, 32149, 91006, 19732, 104655, 47884, 110018, 102052, 5486, 120007, 16144, 106613, 111186, 104088, 59739, 59739, 5486, 104655, 107188, 118145, 105110, 100604, 1811, 122984, 16144, 44915, 109853, 16144, 106613, 111186, 29295, 36149, 228, 67645, 100604, 107803, 16144, 13177, 78183, 102518, 32149, 91006, 19732, 104655, 47884, 104468, 5486, 36149, 228, 67645, 115552, 30512, 26854, 30813, 100604, 66327, 99849, 109853, 104405, 78183, 102518, 106046, 103836, 104865, 118587, 105184, 32149, 109315, 5486, 102677, 110783, 110095, 16556, 117271, 54926, 64209, 106391, 58942, 29295, 109215, 36785, 9174, 14711, 220, 20713, 44597, 45631, 78183, 117295, 66383, 95604, 100909, 198, 78183, 102518, 106046, 100472, 66383, 95604, 103378, 16144, 105908, 127181, 1811, 104626, 109, 29295, 78183, 117295, 102677, 104468, 5486, 87177, 16556, 33655, 78183, 115032, 112690, 29295, 78183, 117295, 102677, 100909, 111769, 1811, 32977, 43514, 85791, 25827, 112690, 16144, 115552, 29295, 78183, 55031, 123207, 5486, 87177, 15682, 78183, 124403, 16144, 103195, 29295, 5486, 87177, 16144, 44915, 29295, 126920, 78183, 117295, 102677, 100909, 16144, 103846, 102052, 5486, 125821, 43240, 119064, 102944, 30512, 109215, 117408, 1811, 104626, 109, 16144, 44915, 102677, 104468, 5486, 101083, 107809, 16144, 30926, 103350, 115287, 31431, 5486, 109683, 16144, 30926, 103350, 115287, 31431, 54926, 118855, 5486, 87177, 30512, 103792, 107707, 106613, 111186, 115287, 31431, 54926, 1811, 87177, 123410, 116537, 106116, 30926, 103350, 104088, 115926, 106613, 111186, 56051, 31431, 56051, 100909, 55031, 112391, 28713, 100909, 78698, 107800, 106592, 5486, 115364, 105242, 22649, 16556, 53900, 115364, 112690, 16556, 102158, 103836, 1811, 87177, 30512, 104655, 47884, 102677, 104468, 106116, 113702, 114475, 76622, 18655, 103836, 102677, 100909, 103195, 1811, 104626, 109, 29295, 126920, 78183, 117295, 102677, 104468, 5486, 87177, 126198, 114754, 112391, 115926, 78698, 107800, 31431, 56051, 106592, 5486, 105994, 32977, 112361, 104466, 112391, 53900, 78698, 105262, 105908, 108608, 102677, 100909, 103195, 1811, 59739, 109709, 5486, 104655, 50834, 46034, 29295, 87177, 15024, 46034, 19732, 42016, 103826, 20230, 101171, 111, 30512, 122502, 32149, 122101, 105908, 103082, 28713, 107803, 20230, 108048, 30512, 126920, 78183, 102518, 102677, 16144, 103195, 1811, 104655, 50834, 46034, 29295, 87177, 15024, 46034, 19732, 42016, 103826, 20230, 112391, 115926, 78698, 107800, 31431, 54926, 105908, 108608, 102052, 5486, 87177, 15024, 46034, 19732, 42016, 50667, 32977, 106624, 15682, 77693, 20230, 60358, 16995, 123120, 106613, 111186, 71289, 105242, 22649, 30512, 103214, 64121, 121697, 28713, 106613, 111186, 29295, 123207, 105110, 100604, 1811, 26854, 112371, 105110, 81219, 5486, 112391, 30369, 100909, 71289, 105242, 22649, 30512, 103214, 64121, 121697, 30369, 109335, 121906, 56051, 106592, 106613, 111186, 54926, 100909, 113468, 3922, 101171, 111, 16144, 123120, 18904, 47095, 20230, 105623, 226, 108882, 84389, 100481, 47884, 106556, 109860, 103195, 1811, 220, 56051, 29295, 76947, 5486, 100927, 104599, 29295, 5486, 105994, 105755, 106613, 111186, 29295, 83747, 103470, 105242, 22649, 48634, 125456, 48634, 29295, 39442, 109809, 26854, 21990, 107263, 71289, 106718, 20230, 5486, 112391, 115926, 78698, 107800, 31431, 54926, 108321, 71289, 106613, 111186, 54926, 75267, 116825, 47884, 121140, 5486, 48864, 108710, 124545, 44915, 30512, 114341, 104577, 111848, 122984, 121142, 111587, 105823, 30369, 102677, 109335, 5486, 123120, 115376, 16144, 115552, 126328, 102717, 19732, 124592, 115552, 119703, 9174, 14711, 220, 20713, 46702, 220, 103082, 104533, 78183, 117295, 198, 27452, 116285, 5486, 37026, 108436, 101918, 20230, 110498, 30369, 115541, 108710, 5486, 116900, 115442, 111331, 115541, 108710, 106116, 43511, 127091, 17039, 102800, 106592, 27704, 109013, 110018, 20230, 5486, 43240, 119064, 114754, 106613, 111186, 103792, 100909, 108995, 1811, 100927, 107290, 124089, 102944, 15682, 116898, 85791, 16995, 85791, 39880, 45923, 66953, 112900, 30512, 39926, 124089, 119520, 106116, 33035, 112586, 71289, 103950, 103306, 32977, 124563, 107188, 32149, 118765, 1811, 99849, 27479, 32977, 117952, 104028, 19732, 5486, 91763, 124059, 13177, 78183, 32149, 113017, 76947, 81219, 76864, 104309, 19732, 105424, 104127, 114732, 119520, 108048, 15682, 13177, 126920, 78183, 32149, 103836, 117503, 111769, 1811, 37656, 105184, 20230, 112844, 19732, 36896, 78183, 32149, 107462, 104533, 91763, 103836, 59712, 112690, 16144, 115552, 103306, 78183, 32149, 103836, 66383, 95604, 100909, 103195, 1811, 123120, 54926, 110018, 16144, 120098, 5486, 78698, 105262, 111831, 103306, 78183, 32149, 103836, 121142, 30591, 76947, 5486, 123120, 30512, 116166, 124545, 124122, 99750, 112854, 103306, 78183, 32149, 103836, 102677, 100909, 111769, 1811, 45631, 123120, 108608, 66383, 95604, 109335, 5486, 111006, 124905, 100472, 123120, 105110, 36896, 101171, 111, 127587, 242, 111006, 10110, 123120, 21405, 102321, 7705, 10646, 16144, 89046, 120988, 29295, 103082, 100934, 102677, 100909, 103195, 109807, 89046, 120988, 29295, 103082, 28713, 110018, 5486, 126920, 78183, 102518, 102677, 105272, 1811, 103082, 28713, 110018, 16144, 110901, 42891, 110371, 112391, 76864, 19732, 85707, 107436, 78183, 117295, 58426, 123120, 99750, 112854, 36785, 109807, 123120, 99750, 112854, 30512, 21105, 96, 107277, 96356, 107294, 107674, 110018, 5486, 80539, 77693, 30512, 37026, 112854, 56051, 110018, 5486, 15682, 100204, 107436, 126920, 78183, 102518, 102677, 16144, 103195, 1811, 48785, 48864, 71289, 108396, 120950, 105242, 22649, 9554, 123120, 16144, 107803, 16556, 112844, 105110, 5486, 100927, 58942, 109115, 105242, 22649, 124905, 76947, 105994, 115303, 111331, 48634, 16556, 103359, 47523, 30512, 19732, 33503, 58942, 64531, 22649, 54926, 105908, 108608, 102677, 100909, 103195, 1811, 100927, 58942, 109115, 33035, 112586, 105242, 22649, 30512, 28713, 67645, 30369, 102677, 16144, 126194, 5486, 105994, 115303, 31431, 16556, 58426, 105242, 22649, 124905, 76947, 103826, 104680, 26854, 103359, 47523, 30512, 19732, 33503, 105262, 102677, 123120, 30512, 39926, 108048, 29295, 108608, 101200, 110276, 110018, 29295, 5486, 126920, 78183, 102518, 110018, 103195, 1811, 45631, 78183, 117295, 66383, 95604, 104468, 5486, 103082, 28713, 110018, 16144, 123120, 99750, 112854, 16144, 37026, 112854, 126529, 103195, 1811, 59739, 109709, 5486, 123120, 54926, 100909, 113468, 67016, 126920, 78183, 117295, 101200, 102052, 105110, 100604, 66327, 78183, 32149, 104533, 108608, 10646, 126194, 13177, 103082, 104533, 78183, 117295, 117503, 103195, 9174, 27384, 30926, 26854, 104468, 5486, 112690, 127303, 33121, 85701, 19732, 122984, 39926, 5486, 78183, 102518, 95221, 20230, 124545, 104466, 54926, 100909, 111769, 109807, 114754, 123120, 39926, 5486, 105994, 16556, 58426, 123120, 99750, 112854, 116825, 32149, 109315, 104466, 54926, 113009, 5486, 123120, 16144, 106548, 24273, 30512, 39880, 45923, 66953, 112900, 54926, 105908, 27384, 30926, 118816, 112844, 100909, 103195, 9174, 14711, 220, 20713, 34617, 104626, 99, 23039, 126845, 125144, 16144, 101171, 111, 123120, 48864, 9554, 115552, 198, 45048, 41920, 118821, 30926, 27452, 60094, 103, 112828, 27452, 20713, 21784, 104, 198, 122808, 102667, 126784, 34048, 52030, 106528, 48864, 70626, 5486, 124305, 101275, 74245, 25580, 115847, 55031, 52030, 106528, 16144, 102321, 75267, 117158, 38144, 23039, 47884, 106718, 105459 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40526, 46091, 103633, 46091, 44620, 53229, 85707, 118958, 33014, 103306, 16144, 114516, 36761, 79, 13, 508, 103993, 17925, 254, 102181, 102064, 5486, 4468, 17, 8107, 7705, 17792, 21990, 30512, 33014, 107654, 102677, 114181, 28542, 55031, 113954, 54926, 109335, 5486, 114516, 29295, 85701, 103296, 105623, 226, 108882, 39926, 105898, 102616, 114181, 71289, 17792, 21990, 114181, 20230, 117119, 32149, 17039, 102800, 102944, 16144, 91774, 24273, 30512, 122382, 21601, 105262, 102677, 100909, 111769, 1811, 104004, 15024, 85791, 95543, 103359, 20230, 115847, 103296, 74482, 21990, 27384, 30926, 20230, 21105, 234, 64121, 59739, 102532, 105898, 40053, 109375, 71289, 33035, 104611, 30512, 13177, 15017, 101, 125655, 66383, 95604, 100909, 103195, 1811, 67645, 119775, 123457, 17701, 104028, 125231, 32149, 126194, 36896, 16995, 111201, 39926, 123457, 113487, 47884, 32149, 66383, 95604, 106592, 5486, 102212, 40526, 46091, 103633, 46091, 15682, 78698, 107800, 1811, 123457, 113487, 47884, 100909, 113468, 5486, 111006, 30512, 110135, 19732, 119049, 107079, 16556, 106084, 28713, 126238, 28741, 26854, 106391, 67178, 33014, 102677, 111006, 99750, 112854, 30512, 5486, 108152, 32131, 108152, 32131, 21441, 118, 33121, 91875, 47884, 107654, 33014, 16144, 17701, 100472, 110898, 103306, 113954, 54926, 16144, 103195, 109807, 105908, 124563, 112371, 107943, 20230, 107693, 26854, 120900, 32149, 95532, 119852, 64121, 104984, 122582, 13177, 102625, 26854, 100604, 10646, 103846, 126529, 103195, 1811, 44620, 102625, 26854, 100604, 113009, 36761, 102677, 102700, 19967, 32977, 101182, 58666, 103991, 46729, 16144, 118448, 101701, 23951, 19967, 29295, 112160, 118288, 8107, 66224, 34617, 97049, 16556, 109988, 115737, 100472, 104468, 5486, 103698, 106624, 32977, 116622, 16144, 29504, 80195, 127123, 58666, 103991, 104517, 16556, 13177, 102625, 26854, 100604, 124122, 101161, 105, 37705, 66383, 95604, 103031, 16144, 106942, 77413, 29295, 87447, 32149, 115032, 32335, 16325, 16144, 100909, 103351, 1811, 118448, 101701, 15682, 102625, 102189, 1811, 123682, 32977, 107943, 109335, 67645, 112384, 72661, 104712, 1811, 103031, 16144, 78244, 106358, 13177, 102625, 26854, 100604, 66383, 95604, 121894, 107118, 5486, 21990, 19732, 102625, 19732, 30512, 55999, 20230, 96412, 64121, 22957, 104004, 17039, 102800, 21990, 30512, 122635, 54926, 100909, 109860, 103195, 66327, 102625, 26854, 100604, 10646, 124122, 121821, 16144, 41007, 108048, 15682, 102625, 30512, 61826, 108167, 54926, 100909, 103195, 1811, 112832, 32977, 29295, 115364, 109177, 107571, 114475, 76622, 17701, 104028, 100909, 36785, 1811, 21990, 19732, 102625, 107118, 110904, 116254, 113115, 80195, 103792, 16144, 126194, 5486, 106483, 119178, 28741, 30177, 20230, 117139, 64121, 40862, 103836, 1811, 104328, 28713, 17663, 33503, 105509, 71289, 109337, 51609, 20230, 116043, 100815, 112990, 21990, 15682, 118448, 25766, 225, 39926, 106644, 47884, 1811, 102625, 30512, 61826, 108167, 54926, 118733, 13177, 102625, 26854, 100604, 10646, 101200, 108176, 109335, 5486, 114715, 32977, 114181, 104611, 9554, 9458, 116602, 47523, 109904, 112690, 109739, 102802, 104309, 111769, 1811, 104004, 15024, 85791, 17599, 117, 104792, 39926, 113723, 53953, 105242, 109904, 107328, 27479, 103195, 1811, 17792, 21990, 30512, 33014, 107654, 16144, 89753, 33121, 103306, 113954, 54926, 104468, 121906, 56051, 107328, 27479, 30512, 32335, 32977, 31958, 105184, 20230, 20379, 17663, 102944, 36785, 1811, 128001, 128000, 13177, 123120, 16144, 110904, 116254, 33208, 29295, 101171, 111, 16144, 122502, 50834, 30512, 13079, 108, 58942, 124545, 59712, 100927, 119841, 24273, 29295, 115350, 15682, 16144, 102802, 30369, 13177, 91482, 64178, 15682, 25963, 34617, 97049, 16556, 120111, 108176, 10646, 16449, 31195, 114516, 102052, 123213, 37507, 69978, 103836, 48864, 108710, 16144, 67016, 28713, 115991, 33541, 1811, 101171, 111, 29295, 17039, 102800, 106592, 48864, 108710, 54926, 39850, 71493, 78683, 78525, 91062, 16144, 100909, 38641, 1811, 1569, 103, 116531, 123570, 124606, 117812, 7, 106556, 122401, 49792, 48864, 120690, 8, 77181, 5486, 114516, 16144, 123120, 30512, 101171, 111, 16144, 122502, 50834, 24273, 102677, 103984, 28542, 55031, 106596, 15024, 5486, 110924, 55031, 48864, 108710, 16144, 57903, 24273, 30512, 113727, 33541, 9174, 14711, 220, 20713, 60596, 45631, 78183, 102518, 32149, 91006, 19732, 104655, 47884, 110018, 16144, 64209, 106391, 58942, 198, 13177, 78183, 117295, 59712, 78183, 124403, 66383, 95604, 112690, 15682, 5486, 122984, 103646, 31431, 100927, 58942, 109115, 31431, 56051, 110018, 16144, 106116, 44915, 113115, 54926, 113954, 16144, 121894, 16144, 37026, 112854, 9554, 21405, 102321, 109860, 103195, 1811, 100927, 58942, 109115, 44915, 30512, 5486, 17663, 16556, 20230, 115364, 101171, 111, 63072, 101365, 106613, 39276, 107809, 105352, 103836, 112690, 115287, 31431, 5486, 123120, 99750, 112854, 115287, 31431, 54926, 102944, 30512, 46034, 29295, 107277, 103306, 19732, 33503, 107800, 106116, 107707, 37026, 112854, 16144, 121894, 30512, 21405, 102321, 56051, 102944, 126529, 103195, 9174, 56051, 29295, 76947, 36896, 78183, 102518, 32149, 91006, 19732, 104655, 102334, 110366, 16144, 44915, 19732, 36896, 78183, 102518, 66383, 103899, 107800, 110366, 16144, 44915, 107118, 5486, 32149, 105110, 101860, 15024, 32977, 15120, 105260, 39926, 112987, 100604, 1811, 114774, 5486, 104004, 15024, 85791, 15120, 105260, 109768, 100604, 24273, 29295, 43240, 117714, 111769, 32149, 1811, 122984, 56051, 31431, 100927, 107800, 31431, 54926, 110366, 29295, 25197, 126989, 103792, 44915, 71289, 111006, 99750, 112854, 19732, 5486, 122984, 107001, 110366, 5486, 100927, 58942, 110071, 110366, 29295, 69978, 103836, 25197, 126989, 71289, 111006, 99750, 112854, 15682, 112361, 111769, 109900, 33503, 15682, 5486, 106613, 111186, 29295, 19967, 31431, 121406, 102944, 109860, 103195, 1811, 106613, 111186, 29295, 108010, 116285, 5486, 19967, 110071, 25197, 126989, 71289, 111006, 99750, 112854, 32977, 112672, 108901, 26854, 76947, 109749, 9174, 112690, 32977, 53900, 112361, 103195, 66327, 126574, 58911, 66383, 32149, 13177, 113786, 15682, 117759, 16995, 66383, 16995, 100472, 112825, 110904, 26854, 112690, 16556, 30813, 58942, 5486, 50211, 53229, 20230, 101987, 126559, 30046, 19732, 58911, 125211, 30590, 115351, 20230, 101987, 126559, 30046, 5486, 104840, 121867, 119208, 16144, 30046, 19732, 117759, 16995, 119208, 16144, 30046, 77181, 5486, 112361, 115552, 114792, 28713, 100604, 1811, 112690, 15682, 5486, 106613, 111186, 19732, 105360, 23039, 39926, 5486, 101182, 16995, 15682, 106613, 111186, 30512, 64531, 22649, 54926, 16325, 16556, 33655, 78183, 106824, 109749, 55031, 103195, 1811, 56051, 29295, 76947, 5486, 125821, 109242, 122202, 26854, 44915, 16144, 30926, 120910, 5486, 106613, 111186, 30512, 74090, 55038, 116446, 16144, 113954, 29295, 109215, 26854, 30926, 120910, 30512, 113954, 54926, 104468, 5486, 103350, 20230, 27384, 104721, 26854, 100909, 103195, 9174, 112690, 71289, 111629, 16556, 122984, 103646, 106592, 108048, 30512, 122984, 56051, 30046, 29295, 25197, 126989, 103792, 16144, 19732, 112361, 44915, 71289, 111006, 99750, 112854, 114792, 59739, 105908, 108608, 102052, 5486, 122984, 56051, 30046, 19732, 36149, 228, 67645, 42016, 50667, 32149, 77693, 71689, 16144, 123120, 106613, 111186, 30512, 15024, 5486, 112690, 113245, 21405, 102321, 109853, 32977, 42016, 50667, 32149, 77693, 71689, 16144, 106613, 111186, 30512, 39926, 50834, 100934, 102677, 105908, 109215, 103195, 109807, 106613, 111186, 30512, 46034, 29295, 107277, 103306, 27704, 107436, 5486, 84851, 108867, 108608, 16144, 103195, 9174, 59739, 109709, 5486, 122984, 30512, 39926, 13177, 78183, 102518, 32149, 91006, 19732, 104655, 47884, 110018, 102052, 5486, 120007, 16144, 106613, 111186, 104088, 59739, 59739, 5486, 104655, 107188, 118145, 105110, 100604, 1811, 122984, 16144, 44915, 109853, 16144, 106613, 111186, 29295, 36149, 228, 67645, 100604, 107803, 16144, 13177, 78183, 102518, 32149, 91006, 19732, 104655, 47884, 104468, 5486, 36149, 228, 67645, 115552, 30512, 26854, 30813, 100604, 66327, 99849, 109853, 104405, 78183, 102518, 106046, 103836, 104865, 118587, 105184, 32149, 109315, 5486, 102677, 110783, 110095, 16556, 117271, 54926, 64209, 106391, 58942, 29295, 109215, 36785, 9174, 14711, 220, 20713, 44597, 45631, 78183, 117295, 66383, 95604, 100909, 198, 78183, 102518, 106046, 100472, 66383, 95604, 103378, 16144, 105908, 127181, 1811, 104626, 109, 29295, 78183, 117295, 102677, 104468, 5486, 87177, 16556, 33655, 78183, 115032, 112690, 29295, 78183, 117295, 102677, 100909, 111769, 1811, 32977, 43514, 85791, 25827, 112690, 16144, 115552, 29295, 78183, 55031, 123207, 5486, 87177, 15682, 78183, 124403, 16144, 103195, 29295, 5486, 87177, 16144, 44915, 29295, 126920, 78183, 117295, 102677, 100909, 16144, 103846, 102052, 5486, 125821, 43240, 119064, 102944, 30512, 109215, 117408, 1811, 104626, 109, 16144, 44915, 102677, 104468, 5486, 101083, 107809, 16144, 30926, 103350, 115287, 31431, 5486, 109683, 16144, 30926, 103350, 115287, 31431, 54926, 118855, 5486, 87177, 30512, 103792, 107707, 106613, 111186, 115287, 31431, 54926, 1811, 87177, 123410, 116537, 106116, 30926, 103350, 104088, 115926, 106613, 111186, 56051, 31431, 56051, 100909, 55031, 112391, 28713, 100909, 78698, 107800, 106592, 5486, 115364, 105242, 22649, 16556, 53900, 115364, 112690, 16556, 102158, 103836, 1811, 87177, 30512, 104655, 47884, 102677, 104468, 106116, 113702, 114475, 76622, 18655, 103836, 102677, 100909, 103195, 1811, 104626, 109, 29295, 126920, 78183, 117295, 102677, 104468, 5486, 87177, 126198, 114754, 112391, 115926, 78698, 107800, 31431, 56051, 106592, 5486, 105994, 32977, 112361, 104466, 112391, 53900, 78698, 105262, 105908, 108608, 102677, 100909, 103195, 1811, 59739, 109709, 5486, 104655, 50834, 46034, 29295, 87177, 15024, 46034, 19732, 42016, 103826, 20230, 101171, 111, 30512, 122502, 32149, 122101, 105908, 103082, 28713, 107803, 20230, 108048, 30512, 126920, 78183, 102518, 102677, 16144, 103195, 1811, 104655, 50834, 46034, 29295, 87177, 15024, 46034, 19732, 42016, 103826, 20230, 112391, 115926, 78698, 107800, 31431, 54926, 105908, 108608, 102052, 5486, 87177, 15024, 46034, 19732, 42016, 50667, 32977, 106624, 15682, 77693, 20230, 60358, 16995, 123120, 106613, 111186, 71289, 105242, 22649, 30512, 103214, 64121, 121697, 28713, 106613, 111186, 29295, 123207, 105110, 100604, 1811, 26854, 112371, 105110, 81219, 5486, 112391, 30369, 100909, 71289, 105242, 22649, 30512, 103214, 64121, 121697, 30369, 109335, 121906, 56051, 106592, 106613, 111186, 54926, 100909, 113468, 3922, 101171, 111, 16144, 123120, 18904, 47095, 20230, 105623, 226, 108882, 84389, 100481, 47884, 106556, 109860, 103195, 1811, 220, 56051, 29295, 76947, 5486, 100927, 104599, 29295, 5486, 105994, 105755, 106613, 111186, 29295, 83747, 103470, 105242, 22649, 48634, 125456, 48634, 29295, 39442, 109809, 26854, 21990, 107263, 71289, 106718, 20230, 5486, 112391, 115926, 78698, 107800, 31431, 54926, 108321, 71289, 106613, 111186, 54926, 75267, 116825, 47884, 121140, 5486, 48864, 108710, 124545, 44915, 30512, 114341, 104577, 111848, 122984, 121142, 111587, 105823, 30369, 102677, 109335, 5486, 123120, 115376, 16144, 115552, 126328, 102717, 19732, 124592, 115552, 119703, 9174, 14711, 220, 20713, 46702, 220, 103082, 104533, 78183, 117295, 198, 27452, 116285, 5486, 37026, 108436, 101918, 20230, 110498, 30369, 115541, 108710, 5486, 116900, 115442, 111331, 115541, 108710, 106116, 43511, 127091, 17039, 102800, 106592, 27704, 109013, 110018, 20230, 5486, 43240, 119064, 114754, 106613, 111186, 103792, 100909, 108995, 1811, 100927, 107290, 124089, 102944, 15682, 116898, 85791, 16995, 85791, 39880, 45923, 66953, 112900, 30512, 39926, 124089, 119520, 106116, 33035, 112586, 71289, 103950, 103306, 32977, 124563, 107188, 32149, 118765, 1811, 99849, 27479, 32977, 117952, 104028, 19732, 5486, 91763, 124059, 13177, 78183, 32149, 113017, 76947, 81219, 76864, 104309, 19732, 105424, 104127, 114732, 119520, 108048, 15682, 13177, 126920, 78183, 32149, 103836, 117503, 111769, 1811, 37656, 105184, 20230, 112844, 19732, 36896, 78183, 32149, 107462, 104533, 91763, 103836, 59712, 112690, 16144, 115552, 103306, 78183, 32149, 103836, 66383, 95604, 100909, 103195, 1811, 123120, 54926, 110018, 16144, 120098, 5486, 78698, 105262, 111831, 103306, 78183, 32149, 103836, 121142, 30591, 76947, 5486, 123120, 30512, 116166, 124545, 124122, 99750, 112854, 103306, 78183, 32149, 103836, 102677, 100909, 111769, 1811, 45631, 123120, 108608, 66383, 95604, 109335, 5486, 111006, 124905, 100472, 123120, 105110, 36896, 101171, 111, 127587, 242, 111006, 10110, 123120, 21405, 102321, 7705, 10646, 16144, 89046, 120988, 29295, 103082, 100934, 102677, 100909, 103195, 109807, 89046, 120988, 29295, 103082, 28713, 110018, 5486, 126920, 78183, 102518, 102677, 105272, 1811, 103082, 28713, 110018, 16144, 110901, 42891, 110371, 112391, 76864, 19732, 85707, 107436, 78183, 117295, 58426, 123120, 99750, 112854, 36785, 109807, 123120, 99750, 112854, 30512, 21105, 96, 107277, 96356, 107294, 107674, 110018, 5486, 80539, 77693, 30512, 37026, 112854, 56051, 110018, 5486, 15682, 100204, 107436, 126920, 78183, 102518, 102677, 16144, 103195, 1811, 48785, 48864, 71289, 108396, 120950, 105242, 22649, 9554, 123120, 16144, 107803, 16556, 112844, 105110, 5486, 100927, 58942, 109115, 105242, 22649, 124905, 76947, 105994, 115303, 111331, 48634, 16556, 103359, 47523, 30512, 19732, 33503, 58942, 64531, 22649, 54926, 105908, 108608, 102677, 100909, 103195, 1811, 100927, 58942, 109115, 33035, 112586, 105242, 22649, 30512, 28713, 67645, 30369, 102677, 16144, 126194, 5486, 105994, 115303, 31431, 16556, 58426, 105242, 22649, 124905, 76947, 103826, 104680, 26854, 103359, 47523, 30512, 19732, 33503, 105262, 102677, 123120, 30512, 39926, 108048, 29295, 108608, 101200, 110276, 110018, 29295, 5486, 126920, 78183, 102518, 110018, 103195, 1811, 45631, 78183, 117295, 66383, 95604, 104468, 5486, 103082, 28713, 110018, 16144, 123120, 99750, 112854, 16144, 37026, 112854, 126529, 103195, 1811, 59739, 109709, 5486, 123120, 54926, 100909, 113468, 67016, 126920, 78183, 117295, 101200, 102052, 105110, 100604, 66327, 78183, 32149, 104533, 108608, 10646, 126194, 13177, 103082, 104533, 78183, 117295, 117503, 103195, 9174, 27384, 30926, 26854, 104468, 5486, 112690, 127303, 33121, 85701, 19732, 122984, 39926, 5486, 78183, 102518, 95221, 20230, 124545, 104466, 54926, 100909, 111769, 109807, 114754, 123120, 39926, 5486, 105994, 16556, 58426, 123120, 99750, 112854, 116825, 32149, 109315, 104466, 54926, 113009, 5486, 123120, 16144, 106548, 24273, 30512, 39880, 45923, 66953, 112900, 54926, 105908, 27384, 30926, 118816, 112844, 100909, 103195, 9174, 14711, 220, 20713, 34617, 104626, 99, 23039, 126845, 125144, 16144, 101171, 111, 123120, 48864, 9554, 115552, 198, 45048, 41920, 118821, 30926, 27452, 60094, 103, 112828, 27452, 20713, 21784, 104, 198, 122808, 102667, 126784, 34048, 52030, 106528, 48864, 70626, 5486, 124305, 101275, 74245, 25580, 115847, 55031, 52030, 106528, 16144, 102321, 75267, 117158, 38144, 23039, 47884, 106718, 105459 ]
[ 20230, 36896, 118935, 104473, 117503, 103911, 23039, 102446, 108710, 30512, 107726, 28713, 1811, 25963, 8107, 21990, 16144, 110018, 20230, 21105, 96, 107277, 19732, 100927, 107800, 116497, 103351, 1811, 110229, 29295, 5486, 13393, 251, 16144, 115844, 32977, 112854, 58942, 126386, 15024, 5486, 37656, 102800, 110794, 24273, 32977, 118765, 1811, 37026, 22023, 114792, 76947, 118935, 104473, 108608, 102677, 106718, 29295, 5486, 36149, 228, 67645, 16995, 100604, 1811, 100927, 104599, 127282, 31374, 243, 61994, 19732, 15024, 5486, 108618, 31431, 83747, 123733, 100472, 82973, 107809, 16556, 5486, 66378, 120117, 56051, 102677, 9174, 60094, 103, 112828, 27452, 25963, 21784, 104, 198, 15120, 24273, 5486, 120915, 52030, 106528, 106649, 23538, 102667, 16144, 118935, 104473, 16144, 48864, 108710, 1811, 100204, 121710, 31431, 82973, 119707, 107441, 106718, 116907, 16556, 37656, 102800, 13393, 251, 16144, 121507, 19732, 5486, 37656, 102800, 110794, 24273, 104088, 16995, 36785, 124545, 1811, 16995, 85791, 16995, 85791, 26854, 101402, 30813, 30512, 13393, 251, 114447, 1811, 117395, 16144, 57207, 119263, 44971, 108337, 124905, 76947, 104473, 36651, 16144, 101402, 30813, 30512, 104873, 115694, 125261, 39926, 64121, 30369, 1811, 13393, 251, 30512, 112810, 20230, 110456, 39926, 64121, 38144, 5486, 13393, 251, 16144, 101402, 30813, 111848, 30591, 102334, 123222, 16144, 119448, 30813, 16144, 121953, 114447, 1811, 41758, 37823, 64810, 107805, 30512, 21601, 107290, 104473, 107654, 16144, 90397, 246, 27479, 20230, 60358, 47884, 56051, 107654, 116825, 47884, 31431, 116898, 85791, 16995, 85791, 26854, 101402, 30813, 16144, 13393, 251, 16556, 107246, 16995, 104526, 105823, 5486, 107246, 16995, 121423, 126172, 30813, 30512, 125261, 54926, 124845, 5486, 117395, 16144, 91875, 101171, 230, 117758, 118935, 104473, 20230, 105104, 30813, 78183, 102800, 13393, 251, 30512, 102647, 81219, 122101, 1811, 13393, 251, 16144, 110794, 24273, 109853, 16144, 48864, 108710, 32977, 42016, 103826, 20230, 5486, 105994, 16556, 16995, 85791, 16995, 85791, 104873, 103854, 107726, 5486, 106081, 23039, 126845, 125144, 107726, 5486, 21105, 96, 107277, 124108, 108608, 110794, 24273, 16144, 120098, 30512, 102404, 91774, 124545, 1811, 100927, 104599, 15682, 103899, 58942, 30512, 100927, 119841, 1811, 104873, 103854, 24273, 16144, 39880, 45923, 66953, 112900, 126198, 31431, 5486, 123604, 123120, 30512, 39926, 114181, 105085, 16144, 103359, 47523, 110276, 31431, 54926, 103378, 36785, 9174, 43511, 101467, 119775, 5486, 13393, 251, 16144, 115844, 9458, 110794, 24273, 30512, 100927, 104599, 29295, 122984, 39926, 100927, 58942, 108048, 30512, 115541, 108710, 107726, 104984, 5486, 103268, 17620, 88852, 16144, 82973, 16556, 48864, 108710, 29295, 105721, 30369, 1811, 26854, 112371, 82973, 119707, 107441, 13393, 251, 16144, 102647, 102802, 24273, 3922, 110794, 24273, 30512, 106767, 102012, 124545, 104865, 1811, 126913, 107113, 116891, 15682, 112844, 1811, 100927, 104599, 29295, 122984, 39926, 100927, 58942, 101732, 110018, 15682, 106116, 82973, 123727, 48864, 108710, 77181, 106084, 30369, 101200, 117084, 102532, 32977, 5486, 82973, 29295, 28713, 59739, 19732, 106718, 15682, 13393, 251, 16144, 115844, 71289, 110794, 24273, 30512, 112727, 106824, 114732, 105908, 43240, 102518, 1811, 110229, 29295, 110371, 48864, 108710, 76868, 116446, 126328, 5486, 112727, 33121, 123733, 100472, 1811, 9080, 119400, 15682, 37689, 109375, 109768, 103470, 111243, 106116, 127749, 117158, 38093, 116285, 103359, 47523, 30512, 108867, 23187, 15024, 122225, 39926, 5486, 105994, 16556, 37656, 102800, 13393, 251, 30512, 121507, 15024, 5486, 37656, 102800, 110794, 24273, 16556, 118935, 104473, 54926, 105908, 108608, 101200, 110276, 102677, 16144, 103195, 9174, 45048, 101171, 111, 16144, 18904, 47095, 124905, 30297, 108680, 5486, 80539, 97518, 89046, 54926, 102944, 29295, 127181, 108680, 5486, 105184, 107188, 61304, 125534, 117282, 13393, 251, 16144, 115844, 71289, 5486, 26130, 105644, 32648, 16144, 110794, 24273, 7, 46034, 16144, 83799, 3922, 64467, 16144, 64936, 27479, 8, 30512, 100927, 70626, 102181, 16556, 91774, 115926, 5486, 100927, 104599, 20230, 100927, 107290, 32977, 33503, 76947, 112854, 105262, 102677, 104468, 36896, 108044, 104067, 63072, 101682, 37729, 10646, 25287, 16144, 115552, 61304, 125534, 113637, 115552, 61304, 125534, 16144, 126513, 5486, 43511, 107707, 122225, 16144, 113702, 30512, 90620, 101682, 76622, 18655, 30369, 121142, 5486, 101171, 111, 16144, 112415, 15682, 110904, 116254, 103195, 55031, 5486, 101171, 111, 16144, 18904, 47095, 16144, 33655, 123671, 24273, 29295, 108008, 20230, 83747, 100604, 1811, 56051, 29295, 76947, 61304, 125534, 16144, 33857, 32977, 83747, 100604, 9174, 105994, 29295, 123120, 56051, 106592, 112854, 105262, 102677, 61304, 125534, 16144, 67016, 28713, 30512, 5486, 106613, 111186, 61304, 125534, 102677, 1811, 101171, 111, 15682, 5486, 123120, 56051, 109335, 86348, 106613, 111186, 61304, 125534, 103306, 105623, 226, 108882, 109768, 47884, 1811, 19653, 56051, 109335, 32977, 43514, 85791, 25827, 5486, 21388, 113529, 56051, 115789, 37087, 38144, 61304, 125534, 109768, 47884, 1811, 91774, 30369, 103378, 104655, 47884, 103378, 16144, 107803, 16144, 101171, 111, 16144, 33655, 16995, 24273, 7, 115552, 61304, 125534, 8, 20230, 57106, 103854, 104533, 5486, 105994, 16556, 104873, 103854, 5486, 106081, 23039, 126845, 125144, 124545, 48864, 108710, 16144, 107726, 24273, 15682, 106116, 100909, 123863, 101171, 111, 16144, 18904, 47095, 111363, 110456, 106266, 16144, 33857, 29295, 35083, 38574, 20230, 127181, 1811, 118969, 75694, 17129, 26854, 123120, 16144, 103359, 47523, 16144, 108867, 23187, 5486, 122225, 5486, 13393, 251, 16144, 121507, 71289, 37656, 102800, 13393, 251, 16144, 110794, 24273, 71289, 41190, 104088, 121406, 124122, 106081, 23039, 126845, 125144, 106116, 110018, 67645, 50834, 16556, 33655, 100472, 101171, 111, 16144, 18904, 47095, 108048, 33503, 29295, 109242, 122202, 114556, 89046, 103792, 1811, 110904, 116254, 26854, 61304, 125534, 15682, 5486, 112727, 33121, 126172, 16995, 29295, 5486, 109242, 122202, 114556, 89046, 56051, 106613, 111186, 61304, 125534, 15682, 112727, 33121, 20230, 47884, 16995, 1811, 18904, 47095, 16144, 89046, 97518, 103306, 61304, 125534, 29295, 115376, 107001, 55031, 103195, 9174, 21601, 107290, 5486, 105994, 16556, 25333, 108630, 30512, 64121, 59739, 107674, 102944, 15682, 112727, 33121, 20230, 47884, 16995, 5486, 102677, 105908, 101182, 109807, 110018, 16144, 99750, 91875, 29295, 21601, 78183, 76947, 5486, 104195, 16995, 110456, 106266, 103306, 101171, 111, 16144, 18904, 47095, 20230, 108618, 103836, 55031, 103195, 1811, 125641, 29295, 117139, 104004, 19732, 104195, 16995, 61304, 125534, 117282, 1811, 125641, 30512, 65743, 30369, 15355, 223, 115895, 33014, 29295, 5486, 56235, 103803, 20230, 109215, 26854, 108134, 103306, 61304, 125534, 54926, 101200, 64467, 103507, 30512, 121406, 19732, 113727, 125398, 9174, 45048, 48864, 108710, 82973, 19732, 48864, 108710, 16144, 8239, 114503, 120915, 52030, 106528, 106649, 23538, 102667, 120950, 48864, 108710, 15682, 5486, 108936, 9554, 102052, 5486, 82973, 29295, 32149, 117295, 102677, 105879, 114330, 110596, 110731, 119520, 5486, 100927, 107290, 32977, 112854, 58942, 126386, 104378, 112649, 105784, 82973, 120332, 29295, 43568, 102147, 226, 126529, 111769, 32149, 1811, 48864, 108710, 112649, 105784, 82973, 15682, 5486, 110904, 20230, 32938, 31634, 82973, 103378, 30512, 109606, 117657, 16144, 126194, 5486, 48864, 108710, 112919, 101171, 111, 16144, 18904, 47095, 30512, 21105, 96, 107277, 59739, 109749, 102677, 114181, 28542, 55031, 5486, 113727, 74245, 17663, 125231, 111769, 32149, 9174, 14711, 220, 20713, 25963, 45631, 76505, 19732, 50021, 111813, 39926, 71289, 31431, 26854, 15682, 33121, 111329, 13177, 17792, 20230, 104655, 102334, 109335, 114225, 112727, 104028, 127211, 30926, 26854, 109335, 76505, 19732, 50021, 111813, 39926, 71289, 31431, 26854, 15682, 33121, 111329, 19732, 119852, 108416, 45829, 30512, 101662, 38144, 38144, 105898, 102677, 1811, 76505, 16144, 33655, 16995, 116245, 16144, 77195, 30512, 104873, 103854, 5486, 76505, 16144, 121894, 30512, 114181, 105085, 15024, 5486, 105994, 116907, 16556, 122225, 39926, 71289, 33121, 102677, 100909, 103195, 1811, 107707, 122225, 16144, 113702, 30512, 104655, 102532, 32977, 122582, 114225, 112727, 104028, 5486, 80539, 33671, 16144, 115364, 122225, 108321, 107118, 105110, 100604, 102677, 100909, 103195, 1811, 106081, 23039, 126845, 125144, 54926, 102677, 105908, 5486, 48864, 108710, 17905, 107693, 26854, 115552, 114792, 59739, 102677, 100909, 103195, 9174, 51330, 109335, 5486, 101171, 111, 123120, 48864, 72661, 107693, 26854, 120098, 103195, 1811, 37026, 112854, 9554, 9458, 106767, 102012, 112535, 123120, 39926, 105898, 114516, 16144, 101171, 111, 16144, 118823, 102756, 105048, 15682, 5486, 108134, 30512, 17620, 104770, 64531, 22649, 21105, 103, 29295, 33503, 5486, 97518, 89046, 122382, 106272, 59739, 47884, 102204, 100481, 47884, 109900, 120577, 61304, 125534, 30512, 77195, 20230, 106608, 100204, 38144, 103214, 40862, 122101, 100909, 113468, 5486, 106608, 11883, 32977, 60632, 47884, 15024, 121453, 102800, 115789, 21990, 64121, 20834, 122101, 16144, 103195, 9174, 77693, 116446, 32977, 106116, 45893, 16144, 104067, 116537, 5486, 114516, 16144, 123120, 114447, 100909, 121960, 32977, 104067, 17792, 26854, 105272, 19732, 99750, 64209, 107726, 110071, 9174, 14711, 220, 20713, 20713, 45631, 103892, 30512, 103424, 47884, 54926, 66383, 95604, 109335, 104405, 95604, 100909, 32149, 198, 80673, 115847, 102052, 77195, 107407, 109900, 15682, 5486, 101171, 111, 22656, 37507, 16144, 122502, 50834, 24273, 30512, 30813, 53900, 102639, 100604, 5486, 32977, 42891, 102083, 116285, 77693, 30512, 103129, 105784, 123120, 16144, 67016, 28713, 9458, 48864, 108710, 16144, 67016, 28713, 123410, 102677, 100909, 103195, 66327, 17620, 104770, 90581, 103214, 64121, 114146, 10646, 25287, 16144, 123120, 30512, 126693, 125821, 8239, 114503, 9554, 36785, 102677, 100909, 103195, 1811, 48864, 108710, 54926, 44915, 30512, 116907, 16556, 104873, 103854, 5486, 103984, 28542, 30512, 121697, 38144, 17620, 104770, 15024, 5486, 64531, 22649, 54926, 102677, 105933, 48864, 108710, 123410, 102677, 100909, 103195, 1811, 100927, 70626, 102181, 30512, 109163, 61304, 56051, 31431, 5486, 100927, 104599, 16144, 87177, 30512, 90620, 33334, 104856, 106624, 104655, 102334, 31431, 5486, 102677, 100909, 111769, 102677, 100909, 103195, 9174, 14711, 220, 78250, 116196, 111, 15682, 5486, 110904, 116254, 61304, 125534, 29295, 107202, 46034, 198, 101171, 111, 16144, 108729, 109904, 122502, 50834, 24273, 15682, 5486, 17620, 104770, 39926, 77693, 30512, 103214, 64121, 114146, 30369, 102677, 122502, 50834, 24273, 103195, 1811, 114516, 15682, 5486, 48154, 47884, 113261, 16995, 110018, 15682, 110904, 116254, 61304, 125534, 29295, 50928, 37689, 103195, 102677, 29295, 108048, 15682, 101171, 111, 48864, 30046, 20230, 78244, 110027, 104984, 5486, 50928, 37689, 102677, 105755, 102131, 95604, 61304, 125534, 16144, 67016, 28713, 67016, 118765, 55031, 36785, 102677, 1811, 17620, 104770, 29295, 112185, 118765, 16144, 103195, 1811, 13153, 101544, 54926, 20230, 56051, 29295, 76947, 5486, 101171, 111, 16144, 122502, 50834, 24273, 15682, 67645, 124592, 25827, 13177, 17620, 104770, 90581, 103214, 64121, 114146, 10646, 25287, 20230, 60634, 23039, 109768, 47884, 9174, 101171, 111, 102052, 5486, 50928, 37689, 26854, 100909, 19732, 115820, 37689, 26854, 105908, 101182, 5486, 102677, 100909, 103195, 1811, 104378, 30046, 15682, 5486, 108895, 95604, 101171, 111, 16144, 122502, 50834, 16144, 66378, 105284, 30512, 78698, 107290, 5486, 104378, 117824, 123671, 123207, 105110, 100604, 1811, 48864, 108710, 30046, 32977, 5486, 48864, 108710, 16144, 67016, 28713, 30512, 49792, 101908, 54926, 109215, 107407, 9174, 14711, 220, 68093, 115334, 33710, 107610, 48864, 108710, 16144, 101171, 111, 123120, 48864, 9554, 115552, 198, 45048, 36668, 33014, 9554, 112415, 29295, 36668, 33014, 9554, 110783, 110095, 30512, 101662, 125655, 198, 118953, 107610, 48864, 108710, 112028, 7741, 231, 48864, 108710, 110792, 32335, 32977, 27384, 112495, 121953, 15682, 5486, 48864, 108710, 112415, 30512, 48864, 108710, 30046, 29295, 36668, 33014, 112535, 103130, 109315, 102677, 100909, 103195, 1811, 36668, 33014, 109904, 123120, 30512, 108882, 64121, 30358, 101832, 30369, 100909, 113468, 5486, 36668, 33014, 109904, 123120, 110783, 110095, 29295, 101662, 107462, 47884, 1811, 112415, 29295, 30297, 17129, 47884, 16995, 100472, 107803, 19732, 102131, 16556, 100604, 107803, 19732, 77181, 121953, 107407, 29295, 108048, 72661, 15120, 7741, 231, 48864, 108710, 20230, 125261, 126693, 35083, 38574, 16144, 104364, 103195, 9174, 15120, 7741, 231, 48864, 108710, 77181, 58426, 77413, 87447, 16144, 77195, 55031, 5486, 100927, 104599, 29295, 36668, 106839, 54926, 105908, 43240, 47884, 101682, 91875, 109904, 48864, 108710, 112415, 29295, 43240, 47884, 109020, 1811, 101682, 91875, 109904, 123120, 30512, 106307, 118145, 5486, 101171, 111, 15682, 101682, 91875, 109904, 123120, 16144, 67016, 28713, 30512, 48864, 102802, 106307, 105784, 100909, 108176, 1811, 31809, 104575, 55031, 102667, 103296, 114341, 104577, 104356, 112028, 7741, 231, 48864, 108710, 76868, 16556, 101662, 38144, 124195, 105898, 102433, 114754, 5486, 36668, 33014, 109904, 123120, 48634, 29295, 127242, 103792, 114667, 15682, 110382, 117083, 9174, 45048, 101171, 111, 16144, 122502, 50834, 24273, 29295, 43240, 103826, 103195, 198, 101171, 111, 15682, 5486, 43511, 111363, 122502, 50834, 126929, 29295, 127181, 108680, 76706, 34171, 33208, 15024, 5486, 109242, 122202, 26854, 122502, 50834, 24273, 123410, 108680, 102404, 104067, 54926, 9174, 43240, 17792, 9039, 112028, 7741, 231, 48864, 108710, 77181, 5486, 43240, 119064, 107803, 81191, 113127, 113314, 10110, 34617, 27113, 21909, 46702, 27113, 17792, 107059, 22398, 105110, 60596, 21909, 66115, 17792, 120732, 95543, 106608, 16556, 107141, 101275, 29295, 103130, 62004, 102204, 100481, 47884, 1811, 108618, 111331, 48864, 108710, 30046, 29295, 36668, 33014, 112535, 112415, 72342, 101860, 5486, 100927, 104599, 16144, 87177, 30512, 90620, 104655, 119188, 103378, 72661, 107141, 101275, 15682, 103130, 104127, 16995, 50834, 106116, 107803, 16144, 48864, 108710, 112919, 101171, 111, 16144, 122502, 50834, 24273, 15682, 108008, 20230, 110904, 104873, 16556, 67016, 32977, 83747, 100604, 9174, 15120, 24273, 5486, 118953, 107610, 48864, 108710, 15682, 21990, 107263, 50021, 106483, 56965, 16144, 119046, 116690, 30512, 37689, 111629, 56051, 48864, 108710, 103195, 55031, 5486, 16, 118821, 111681, 104482, 20230, 21990, 107263, 105459, 116907, 29295, 119046, 39926, 108167, 103214, 104004, 102677, 83799, 29295, 19732, 110071, 1811, 104873, 112984, 71289, 103350, 111186, 30512, 39926, 3922, 58426, 113702, 30512, 123011, 62004, 5486, 21405, 102321, 54926, 5486, 102083, 100472, 43240, 103826, 16556 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20230, 36896, 118935, 104473, 117503, 103911, 23039, 102446, 108710, 30512, 107726, 28713, 1811, 25963, 8107, 21990, 16144, 110018, 20230, 21105, 96, 107277, 19732, 100927, 107800, 116497, 103351, 1811, 110229, 29295, 5486, 13393, 251, 16144, 115844, 32977, 112854, 58942, 126386, 15024, 5486, 37656, 102800, 110794, 24273, 32977, 118765, 1811, 37026, 22023, 114792, 76947, 118935, 104473, 108608, 102677, 106718, 29295, 5486, 36149, 228, 67645, 16995, 100604, 1811, 100927, 104599, 127282, 31374, 243, 61994, 19732, 15024, 5486, 108618, 31431, 83747, 123733, 100472, 82973, 107809, 16556, 5486, 66378, 120117, 56051, 102677, 9174, 60094, 103, 112828, 27452, 25963, 21784, 104, 198, 15120, 24273, 5486, 120915, 52030, 106528, 106649, 23538, 102667, 16144, 118935, 104473, 16144, 48864, 108710, 1811, 100204, 121710, 31431, 82973, 119707, 107441, 106718, 116907, 16556, 37656, 102800, 13393, 251, 16144, 121507, 19732, 5486, 37656, 102800, 110794, 24273, 104088, 16995, 36785, 124545, 1811, 16995, 85791, 16995, 85791, 26854, 101402, 30813, 30512, 13393, 251, 114447, 1811, 117395, 16144, 57207, 119263, 44971, 108337, 124905, 76947, 104473, 36651, 16144, 101402, 30813, 30512, 104873, 115694, 125261, 39926, 64121, 30369, 1811, 13393, 251, 30512, 112810, 20230, 110456, 39926, 64121, 38144, 5486, 13393, 251, 16144, 101402, 30813, 111848, 30591, 102334, 123222, 16144, 119448, 30813, 16144, 121953, 114447, 1811, 41758, 37823, 64810, 107805, 30512, 21601, 107290, 104473, 107654, 16144, 90397, 246, 27479, 20230, 60358, 47884, 56051, 107654, 116825, 47884, 31431, 116898, 85791, 16995, 85791, 26854, 101402, 30813, 16144, 13393, 251, 16556, 107246, 16995, 104526, 105823, 5486, 107246, 16995, 121423, 126172, 30813, 30512, 125261, 54926, 124845, 5486, 117395, 16144, 91875, 101171, 230, 117758, 118935, 104473, 20230, 105104, 30813, 78183, 102800, 13393, 251, 30512, 102647, 81219, 122101, 1811, 13393, 251, 16144, 110794, 24273, 109853, 16144, 48864, 108710, 32977, 42016, 103826, 20230, 5486, 105994, 16556, 16995, 85791, 16995, 85791, 104873, 103854, 107726, 5486, 106081, 23039, 126845, 125144, 107726, 5486, 21105, 96, 107277, 124108, 108608, 110794, 24273, 16144, 120098, 30512, 102404, 91774, 124545, 1811, 100927, 104599, 15682, 103899, 58942, 30512, 100927, 119841, 1811, 104873, 103854, 24273, 16144, 39880, 45923, 66953, 112900, 126198, 31431, 5486, 123604, 123120, 30512, 39926, 114181, 105085, 16144, 103359, 47523, 110276, 31431, 54926, 103378, 36785, 9174, 43511, 101467, 119775, 5486, 13393, 251, 16144, 115844, 9458, 110794, 24273, 30512, 100927, 104599, 29295, 122984, 39926, 100927, 58942, 108048, 30512, 115541, 108710, 107726, 104984, 5486, 103268, 17620, 88852, 16144, 82973, 16556, 48864, 108710, 29295, 105721, 30369, 1811, 26854, 112371, 82973, 119707, 107441, 13393, 251, 16144, 102647, 102802, 24273, 3922, 110794, 24273, 30512, 106767, 102012, 124545, 104865, 1811, 126913, 107113, 116891, 15682, 112844, 1811, 100927, 104599, 29295, 122984, 39926, 100927, 58942, 101732, 110018, 15682, 106116, 82973, 123727, 48864, 108710, 77181, 106084, 30369, 101200, 117084, 102532, 32977, 5486, 82973, 29295, 28713, 59739, 19732, 106718, 15682, 13393, 251, 16144, 115844, 71289, 110794, 24273, 30512, 112727, 106824, 114732, 105908, 43240, 102518, 1811, 110229, 29295, 110371, 48864, 108710, 76868, 116446, 126328, 5486, 112727, 33121, 123733, 100472, 1811, 9080, 119400, 15682, 37689, 109375, 109768, 103470, 111243, 106116, 127749, 117158, 38093, 116285, 103359, 47523, 30512, 108867, 23187, 15024, 122225, 39926, 5486, 105994, 16556, 37656, 102800, 13393, 251, 30512, 121507, 15024, 5486, 37656, 102800, 110794, 24273, 16556, 118935, 104473, 54926, 105908, 108608, 101200, 110276, 102677, 16144, 103195, 9174, 45048, 101171, 111, 16144, 18904, 47095, 124905, 30297, 108680, 5486, 80539, 97518, 89046, 54926, 102944, 29295, 127181, 108680, 5486, 105184, 107188, 61304, 125534, 117282, 13393, 251, 16144, 115844, 71289, 5486, 26130, 105644, 32648, 16144, 110794, 24273, 7, 46034, 16144, 83799, 3922, 64467, 16144, 64936, 27479, 8, 30512, 100927, 70626, 102181, 16556, 91774, 115926, 5486, 100927, 104599, 20230, 100927, 107290, 32977, 33503, 76947, 112854, 105262, 102677, 104468, 36896, 108044, 104067, 63072, 101682, 37729, 10646, 25287, 16144, 115552, 61304, 125534, 113637, 115552, 61304, 125534, 16144, 126513, 5486, 43511, 107707, 122225, 16144, 113702, 30512, 90620, 101682, 76622, 18655, 30369, 121142, 5486, 101171, 111, 16144, 112415, 15682, 110904, 116254, 103195, 55031, 5486, 101171, 111, 16144, 18904, 47095, 16144, 33655, 123671, 24273, 29295, 108008, 20230, 83747, 100604, 1811, 56051, 29295, 76947, 61304, 125534, 16144, 33857, 32977, 83747, 100604, 9174, 105994, 29295, 123120, 56051, 106592, 112854, 105262, 102677, 61304, 125534, 16144, 67016, 28713, 30512, 5486, 106613, 111186, 61304, 125534, 102677, 1811, 101171, 111, 15682, 5486, 123120, 56051, 109335, 86348, 106613, 111186, 61304, 125534, 103306, 105623, 226, 108882, 109768, 47884, 1811, 19653, 56051, 109335, 32977, 43514, 85791, 25827, 5486, 21388, 113529, 56051, 115789, 37087, 38144, 61304, 125534, 109768, 47884, 1811, 91774, 30369, 103378, 104655, 47884, 103378, 16144, 107803, 16144, 101171, 111, 16144, 33655, 16995, 24273, 7, 115552, 61304, 125534, 8, 20230, 57106, 103854, 104533, 5486, 105994, 16556, 104873, 103854, 5486, 106081, 23039, 126845, 125144, 124545, 48864, 108710, 16144, 107726, 24273, 15682, 106116, 100909, 123863, 101171, 111, 16144, 18904, 47095, 111363, 110456, 106266, 16144, 33857, 29295, 35083, 38574, 20230, 127181, 1811, 118969, 75694, 17129, 26854, 123120, 16144, 103359, 47523, 16144, 108867, 23187, 5486, 122225, 5486, 13393, 251, 16144, 121507, 71289, 37656, 102800, 13393, 251, 16144, 110794, 24273, 71289, 41190, 104088, 121406, 124122, 106081, 23039, 126845, 125144, 106116, 110018, 67645, 50834, 16556, 33655, 100472, 101171, 111, 16144, 18904, 47095, 108048, 33503, 29295, 109242, 122202, 114556, 89046, 103792, 1811, 110904, 116254, 26854, 61304, 125534, 15682, 5486, 112727, 33121, 126172, 16995, 29295, 5486, 109242, 122202, 114556, 89046, 56051, 106613, 111186, 61304, 125534, 15682, 112727, 33121, 20230, 47884, 16995, 1811, 18904, 47095, 16144, 89046, 97518, 103306, 61304, 125534, 29295, 115376, 107001, 55031, 103195, 9174, 21601, 107290, 5486, 105994, 16556, 25333, 108630, 30512, 64121, 59739, 107674, 102944, 15682, 112727, 33121, 20230, 47884, 16995, 5486, 102677, 105908, 101182, 109807, 110018, 16144, 99750, 91875, 29295, 21601, 78183, 76947, 5486, 104195, 16995, 110456, 106266, 103306, 101171, 111, 16144, 18904, 47095, 20230, 108618, 103836, 55031, 103195, 1811, 125641, 29295, 117139, 104004, 19732, 104195, 16995, 61304, 125534, 117282, 1811, 125641, 30512, 65743, 30369, 15355, 223, 115895, 33014, 29295, 5486, 56235, 103803, 20230, 109215, 26854, 108134, 103306, 61304, 125534, 54926, 101200, 64467, 103507, 30512, 121406, 19732, 113727, 125398, 9174, 45048, 48864, 108710, 82973, 19732, 48864, 108710, 16144, 8239, 114503, 120915, 52030, 106528, 106649, 23538, 102667, 120950, 48864, 108710, 15682, 5486, 108936, 9554, 102052, 5486, 82973, 29295, 32149, 117295, 102677, 105879, 114330, 110596, 110731, 119520, 5486, 100927, 107290, 32977, 112854, 58942, 126386, 104378, 112649, 105784, 82973, 120332, 29295, 43568, 102147, 226, 126529, 111769, 32149, 1811, 48864, 108710, 112649, 105784, 82973, 15682, 5486, 110904, 20230, 32938, 31634, 82973, 103378, 30512, 109606, 117657, 16144, 126194, 5486, 48864, 108710, 112919, 101171, 111, 16144, 18904, 47095, 30512, 21105, 96, 107277, 59739, 109749, 102677, 114181, 28542, 55031, 5486, 113727, 74245, 17663, 125231, 111769, 32149, 9174, 14711, 220, 20713, 25963, 45631, 76505, 19732, 50021, 111813, 39926, 71289, 31431, 26854, 15682, 33121, 111329, 13177, 17792, 20230, 104655, 102334, 109335, 114225, 112727, 104028, 127211, 30926, 26854, 109335, 76505, 19732, 50021, 111813, 39926, 71289, 31431, 26854, 15682, 33121, 111329, 19732, 119852, 108416, 45829, 30512, 101662, 38144, 38144, 105898, 102677, 1811, 76505, 16144, 33655, 16995, 116245, 16144, 77195, 30512, 104873, 103854, 5486, 76505, 16144, 121894, 30512, 114181, 105085, 15024, 5486, 105994, 116907, 16556, 122225, 39926, 71289, 33121, 102677, 100909, 103195, 1811, 107707, 122225, 16144, 113702, 30512, 104655, 102532, 32977, 122582, 114225, 112727, 104028, 5486, 80539, 33671, 16144, 115364, 122225, 108321, 107118, 105110, 100604, 102677, 100909, 103195, 1811, 106081, 23039, 126845, 125144, 54926, 102677, 105908, 5486, 48864, 108710, 17905, 107693, 26854, 115552, 114792, 59739, 102677, 100909, 103195, 9174, 51330, 109335, 5486, 101171, 111, 123120, 48864, 72661, 107693, 26854, 120098, 103195, 1811, 37026, 112854, 9554, 9458, 106767, 102012, 112535, 123120, 39926, 105898, 114516, 16144, 101171, 111, 16144, 118823, 102756, 105048, 15682, 5486, 108134, 30512, 17620, 104770, 64531, 22649, 21105, 103, 29295, 33503, 5486, 97518, 89046, 122382, 106272, 59739, 47884, 102204, 100481, 47884, 109900, 120577, 61304, 125534, 30512, 77195, 20230, 106608, 100204, 38144, 103214, 40862, 122101, 100909, 113468, 5486, 106608, 11883, 32977, 60632, 47884, 15024, 121453, 102800, 115789, 21990, 64121, 20834, 122101, 16144, 103195, 9174, 77693, 116446, 32977, 106116, 45893, 16144, 104067, 116537, 5486, 114516, 16144, 123120, 114447, 100909, 121960, 32977, 104067, 17792, 26854, 105272, 19732, 99750, 64209, 107726, 110071, 9174, 14711, 220, 20713, 20713, 45631, 103892, 30512, 103424, 47884, 54926, 66383, 95604, 109335, 104405, 95604, 100909, 32149, 198, 80673, 115847, 102052, 77195, 107407, 109900, 15682, 5486, 101171, 111, 22656, 37507, 16144, 122502, 50834, 24273, 30512, 30813, 53900, 102639, 100604, 5486, 32977, 42891, 102083, 116285, 77693, 30512, 103129, 105784, 123120, 16144, 67016, 28713, 9458, 48864, 108710, 16144, 67016, 28713, 123410, 102677, 100909, 103195, 66327, 17620, 104770, 90581, 103214, 64121, 114146, 10646, 25287, 16144, 123120, 30512, 126693, 125821, 8239, 114503, 9554, 36785, 102677, 100909, 103195, 1811, 48864, 108710, 54926, 44915, 30512, 116907, 16556, 104873, 103854, 5486, 103984, 28542, 30512, 121697, 38144, 17620, 104770, 15024, 5486, 64531, 22649, 54926, 102677, 105933, 48864, 108710, 123410, 102677, 100909, 103195, 1811, 100927, 70626, 102181, 30512, 109163, 61304, 56051, 31431, 5486, 100927, 104599, 16144, 87177, 30512, 90620, 33334, 104856, 106624, 104655, 102334, 31431, 5486, 102677, 100909, 111769, 102677, 100909, 103195, 9174, 14711, 220, 78250, 116196, 111, 15682, 5486, 110904, 116254, 61304, 125534, 29295, 107202, 46034, 198, 101171, 111, 16144, 108729, 109904, 122502, 50834, 24273, 15682, 5486, 17620, 104770, 39926, 77693, 30512, 103214, 64121, 114146, 30369, 102677, 122502, 50834, 24273, 103195, 1811, 114516, 15682, 5486, 48154, 47884, 113261, 16995, 110018, 15682, 110904, 116254, 61304, 125534, 29295, 50928, 37689, 103195, 102677, 29295, 108048, 15682, 101171, 111, 48864, 30046, 20230, 78244, 110027, 104984, 5486, 50928, 37689, 102677, 105755, 102131, 95604, 61304, 125534, 16144, 67016, 28713, 67016, 118765, 55031, 36785, 102677, 1811, 17620, 104770, 29295, 112185, 118765, 16144, 103195, 1811, 13153, 101544, 54926, 20230, 56051, 29295, 76947, 5486, 101171, 111, 16144, 122502, 50834, 24273, 15682, 67645, 124592, 25827, 13177, 17620, 104770, 90581, 103214, 64121, 114146, 10646, 25287, 20230, 60634, 23039, 109768, 47884, 9174, 101171, 111, 102052, 5486, 50928, 37689, 26854, 100909, 19732, 115820, 37689, 26854, 105908, 101182, 5486, 102677, 100909, 103195, 1811, 104378, 30046, 15682, 5486, 108895, 95604, 101171, 111, 16144, 122502, 50834, 16144, 66378, 105284, 30512, 78698, 107290, 5486, 104378, 117824, 123671, 123207, 105110, 100604, 1811, 48864, 108710, 30046, 32977, 5486, 48864, 108710, 16144, 67016, 28713, 30512, 49792, 101908, 54926, 109215, 107407, 9174, 14711, 220, 68093, 115334, 33710, 107610, 48864, 108710, 16144, 101171, 111, 123120, 48864, 9554, 115552, 198, 45048, 36668, 33014, 9554, 112415, 29295, 36668, 33014, 9554, 110783, 110095, 30512, 101662, 125655, 198, 118953, 107610, 48864, 108710, 112028, 7741, 231, 48864, 108710, 110792, 32335, 32977, 27384, 112495, 121953, 15682, 5486, 48864, 108710, 112415, 30512, 48864, 108710, 30046, 29295, 36668, 33014, 112535, 103130, 109315, 102677, 100909, 103195, 1811, 36668, 33014, 109904, 123120, 30512, 108882, 64121, 30358, 101832, 30369, 100909, 113468, 5486, 36668, 33014, 109904, 123120, 110783, 110095, 29295, 101662, 107462, 47884, 1811, 112415, 29295, 30297, 17129, 47884, 16995, 100472, 107803, 19732, 102131, 16556, 100604, 107803, 19732, 77181, 121953, 107407, 29295, 108048, 72661, 15120, 7741, 231, 48864, 108710, 20230, 125261, 126693, 35083, 38574, 16144, 104364, 103195, 9174, 15120, 7741, 231, 48864, 108710, 77181, 58426, 77413, 87447, 16144, 77195, 55031, 5486, 100927, 104599, 29295, 36668, 106839, 54926, 105908, 43240, 47884, 101682, 91875, 109904, 48864, 108710, 112415, 29295, 43240, 47884, 109020, 1811, 101682, 91875, 109904, 123120, 30512, 106307, 118145, 5486, 101171, 111, 15682, 101682, 91875, 109904, 123120, 16144, 67016, 28713, 30512, 48864, 102802, 106307, 105784, 100909, 108176, 1811, 31809, 104575, 55031, 102667, 103296, 114341, 104577, 104356, 112028, 7741, 231, 48864, 108710, 76868, 16556, 101662, 38144, 124195, 105898, 102433, 114754, 5486, 36668, 33014, 109904, 123120, 48634, 29295, 127242, 103792, 114667, 15682, 110382, 117083, 9174, 45048, 101171, 111, 16144, 122502, 50834, 24273, 29295, 43240, 103826, 103195, 198, 101171, 111, 15682, 5486, 43511, 111363, 122502, 50834, 126929, 29295, 127181, 108680, 76706, 34171, 33208, 15024, 5486, 109242, 122202, 26854, 122502, 50834, 24273, 123410, 108680, 102404, 104067, 54926, 9174, 43240, 17792, 9039, 112028, 7741, 231, 48864, 108710, 77181, 5486, 43240, 119064, 107803, 81191, 113127, 113314, 10110, 34617, 27113, 21909, 46702, 27113, 17792, 107059, 22398, 105110, 60596, 21909, 66115, 17792, 120732, 95543, 106608, 16556, 107141, 101275, 29295, 103130, 62004, 102204, 100481, 47884, 1811, 108618, 111331, 48864, 108710, 30046, 29295, 36668, 33014, 112535, 112415, 72342, 101860, 5486, 100927, 104599, 16144, 87177, 30512, 90620, 104655, 119188, 103378, 72661, 107141, 101275, 15682, 103130, 104127, 16995, 50834, 106116, 107803, 16144, 48864, 108710, 112919, 101171, 111, 16144, 122502, 50834, 24273, 15682, 108008, 20230, 110904, 104873, 16556, 67016, 32977, 83747, 100604, 9174, 15120, 24273, 5486, 118953, 107610, 48864, 108710, 15682, 21990, 107263, 50021, 106483, 56965, 16144, 119046, 116690, 30512, 37689, 111629, 56051, 48864, 108710, 103195, 55031, 5486, 16, 118821, 111681, 104482, 20230, 21990, 107263, 105459, 116907, 29295, 119046, 39926, 108167, 103214, 104004, 102677, 83799, 29295, 19732, 110071, 1811, 104873, 112984, 71289, 103350, 111186, 30512, 39926, 3922, 58426, 113702, 30512, 123011, 62004, 5486, 21405, 102321, 54926, 5486, 102083, 100472, 43240, 103826, 16556 ]
[ 109242, 122202, 26854, 48864, 108710, 112415, 115717, 5486, 118953, 107610, 29295, 83747, 17792, 9039, 103195, 108680, 102208, 37026, 29295, 23039, 30297, 123120, 16144, 104091, 104770, 19732, 101513, 38093, 19732, 29295, 43240, 47884, 109020, 9174, 45048, 119046, 54926, 118733, 101171, 111, 29295, 101662, 59739, 90581, 17620, 104770, 15024, 110022, 40862, 54926, 48634, 3922, 114516, 116690, 48634, 198, 15120, 118821, 111681, 104482, 30512, 119046, 39926, 23039, 30297, 102052, 5486, 17620, 106529, 3922, 110022, 40862, 3922, 108975, 48634, 102083, 100472, 112415, 29295, 109215, 108176, 1811, 17620, 106529, 15024, 110022, 40862, 54926, 103188, 39607, 77181, 5486, 37087, 33014, 30512, 19732, 33503, 105262, 123120, 5486, 31634, 72238, 20230, 17620, 105784, 123120, 108048, 120577, 116690, 30512, 64531, 22649, 54926, 123120, 104309, 29295, 23039, 126832, 118844, 33503, 15682, 102944, 48154, 19732, 30512, 106391, 67178, 112535, 91774, 30369, 102677, 123120, 103195, 29295, 115847, 112212, 5486, 101171, 111, 15682, 102944, 48154, 19732, 30512, 106391, 67178, 112535, 19732, 33503, 105262, 106592, 106613, 111186, 54926, 9174, 53900, 5486, 118789, 112535, 123120, 103350, 102923, 54926, 103846, 102052, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 124490, 32149, 72342, 100604, 109900, 15682, 112690, 103378, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 126194, 5486, 105994, 71289, 120007, 16144, 123120, 19732, 107173, 20230, 57903, 5486, 123120, 30512, 116166, 124545, 124122, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 123120, 103195, 1811, 67645, 119775, 119046, 54926, 32149, 5486, 17620, 106529, 54926, 32149, 109900, 108422, 33121, 29295, 104873, 103854, 28713, 106592, 104405, 123011, 109315, 32149, 1811, 115364, 113727, 30512, 120007, 20230, 78183, 107277, 126172, 47884, 108044, 105262, 5486, 120007, 16144, 87177, 30512, 104655, 50834, 10110, 104655, 50834, 121216, 7705, 113727, 100934, 106592, 98499, 64121, 18655, 30369, 1811, 37689, 91774, 29295, 108901, 109020, 107803, 16995, 15682, 77693, 30512, 104873, 64531, 54926, 115789, 109215, 108176, 1811, 106483, 119178, 113850, 56965, 16144, 102404, 78244, 71289, 123120, 30512, 114181, 105085, 15024, 5486, 37689, 111629, 54926, 110229, 30512, 98499, 64121, 108167, 5486, 108975, 48634, 16144, 106548, 24273, 71289, 58426, 107507, 101198, 94550, 30512, 82420, 33503, 123207, 105110, 100604, 9174, 102131, 56051, 123120, 107809, 16556, 48864, 108710, 30046, 15682, 5486, 106081, 23039, 126845, 125144, 21105, 103, 29295, 33503, 37087, 33014, 107809, 113245, 102159, 16144, 57903, 32149, 28713, 5486, 102159, 16144, 110022, 40862, 103306, 16144, 37087, 33014, 16144, 57903, 24273, 30512, 106613, 111186, 109768, 47884, 100909, 108176, 124845, 5486, 106613, 111186, 56051, 106592, 5486, 101171, 111, 15682, 48864, 108710, 54926, 1811, 43240, 17792, 9039, 16556, 112028, 7741, 231, 48864, 108710, 16144, 107803, 72661, 108895, 56051, 123120, 119703, 113334, 111769, 29295, 5486, 9039, 114754, 102404, 78244, 39926, 30591, 107118, 43240, 9039, 104662, 16556, 104662, 109013, 31431, 5486, 112832, 32149, 29295, 106691, 16556, 103350, 111186, 71289, 125053, 30512, 15024, 5486, 108618, 31431, 15682, 77693, 30512, 114181, 105085, 54926, 102677, 105933, 83799, 110276, 31431, 39926, 5486, 48864, 108710, 30046, 77693, 108422, 33121, 16144, 123120, 16144, 33857, 19732, 105284, 15682, 118953, 107610, 48864, 108710, 20230, 110596, 47884, 82317, 81219, 100604, 9174, 45048, 100927, 58942, 40862, 30297, 118733, 5486, 113954, 29295, 102987, 115464, 63072, 105864, 246, 125534, 16144, 88356, 106391, 13153, 3922, 109606, 37689, 109375, 20230, 82912, 109669, 102334, 48864, 108710, 112415, 198, 118953, 107610, 48864, 108710, 122692, 13177, 100927, 58942, 40862, 30297, 66383, 95604, 123120, 29295, 5486, 44915, 16144, 113954, 30512, 106483, 119178, 102987, 62004, 30591, 30297, 102677, 8239, 114503, 107407, 103306, 115515, 26130, 30832, 110731, 97999, 13177, 100927, 58942, 40862, 16995, 118587, 66378, 20230, 37689, 111629, 56051, 118953, 107610, 48864, 108710, 30512, 13177, 108975, 104873, 48864, 108710, 66383, 95604, 13372, 16556, 105324, 126559, 1811, 340, 13177, 100927, 105262, 66383, 95604, 109335, 5486, 120007, 16144, 107750, 99397, 20230, 106608, 100204, 38144, 5486, 115364, 19732, 33503, 58942, 100934, 106592, 108044, 58942, 5486, 113954, 124545, 100909, 103195, 109807, 103846, 102052, 5486, 120007, 29295, 104405, 113727, 100934, 104865, 117119, 29295, 78183, 124403, 104865, 5486, 116825, 32149, 17129, 103470, 38144, 15682, 105110, 100604, 109807, 17905, 16556, 105994, 29295, 19732, 33503, 58942, 100934, 100909, 71289, 113954, 16144, 74090, 55038, 101983, 103836, 106592, 64531, 22649, 15024, 5486, 120007, 29295, 113954, 108608, 71289, 30813, 102800, 112690, 19732, 105242, 22649, 16556, 122984, 21105, 103, 47884, 38144, 15682, 105110, 100604, 1811, 120007, 16144, 127749, 113468, 30926, 27452, 30512, 20379, 56051, 31431, 5486, 118789, 53953, 124905, 100472, 31431, 39926, 122984, 21105, 103, 47884, 38144, 15682, 105110, 100604, 59459, 58426, 103188, 39607, 15682, 5486, 105755, 22656, 105284, 109904, 113954, 19732, 118789, 109904, 19732, 33503, 58942, 24273, 29295, 109215, 103195, 100909, 71289, 5486, 21105, 108, 21105, 108, 105994, 32977, 114652, 78183, 32149, 107462, 100604, 102677, 106592, 37026, 112854, 54926, 75267, 107173, 109020, 1811, 23954, 122984, 114475, 105784, 110366, 15682, 5486, 100927, 107290, 32977, 33503, 100472, 44915, 19732, 105994, 29295, 19732, 33503, 58942, 100934, 44915, 19732, 30512, 125261, 15024, 5486, 113487, 76622, 100934, 105494, 108010, 103836, 105494, 30512, 23951, 37656, 109768, 47884, 113637, 103188, 39607, 16556, 5486, 100927, 105262, 110366, 100927, 58942, 110071, 110366, 5486, 104836, 24273, 16144, 101171, 111, 16144, 61304, 125534, 15682, 99849, 27479, 32977, 103721, 108, 31431, 104196, 15024, 113801, 20834, 84389, 5486, 116690, 122382, 102204, 5486, 88356, 106391, 13153, 107001, 109900, 103378, 101171, 111, 16144, 101365, 106613, 18904, 47095, 29295, 122502, 47884, 102677, 100909, 103195, 1811, 101171, 111, 16144, 101365, 106613, 18904, 47095, 15682, 122502, 47884, 108680, 58426, 122502, 50834, 29295, 122060, 54926, 1811, 95543, 106608, 15024, 126172, 47884, 109020, 9174, 53900, 110371, 13177, 100927, 58942, 40862, 30297, 66383, 95604, 123120, 15682, 5486, 100927, 104599, 55031, 15120, 24273, 112535, 58318, 58942, 110071, 102944, 126194, 5486, 105994, 126027, 107750, 99397, 71289, 109606, 37689, 109375, 20230, 30591, 110027, 38144, 23039, 126832, 102677, 105908, 5486, 101171, 111, 29295, 122502, 50834, 126172, 16995, 77195, 105352, 26854, 103836, 1811, 105994, 105459, 29295, 123120, 56051, 113702, 10110, 103350, 111186, 113702, 71289, 5486, 104873, 103854, 28713, 100909, 7705, 71289, 5486, 118322, 123628, 118789, 109904, 30926, 103350, 71289, 100927, 103234, 30512, 108321, 103306, 23039, 126832, 103846, 5486, 61304, 125534, 108134, 29295, 118823, 102756, 105048, 33208, 10110, 97518, 89046, 109669, 76622, 7705, 84389, 126172, 117714, 103195, 1811, 112727, 33121, 20230, 47884, 16995, 5486, 105184, 107188, 61304, 125534, 108176, 102677, 100909, 103195, 9174, 45048, 109933, 111999, 76428, 54926, 123457, 101662, 125655, 198, 111108, 102800, 111681, 104482, 20230, 114099, 102669, 118765, 104468, 102717, 19732, 124592, 16144, 107803, 5486, 21388, 113529, 113115, 54926, 109755, 33121, 16144, 103846, 103195, 119520, 5486, 20713, 17792, 77181, 118765, 102131, 126758, 116499, 30358, 47884, 109020, 105933, 115789, 5486, 34617, 17792, 19, 17792, 19732, 113850, 56965, 125001, 104984, 99849, 19732, 107188, 30369, 32149, 32977, 19732, 30537, 20713, 105564, 29295, 119870, 64121, 20834, 122101, 1811, 29295, 25827, 81219, 104984, 71289, 33121, 102131, 118816, 112391, 28713, 110018, 5486, 101171, 111, 15682, 32335, 32977, 76706, 34171, 33208, 54926, 1811, 118953, 107610, 58426, 102944, 20230, 101171, 111, 30512, 76706, 34171, 33208, 54926, 77195, 29295, 104874, 78183, 107462, 104533, 78244, 114598, 57980, 118544, 121061, 9174, 118953, 107610, 16556, 108167, 103214, 104004, 107803, 5486, 21388, 113529, 120837, 113850, 56965, 16556, 108631, 64121, 30512, 17620, 76622, 40862, 30297, 105908, 108608, 1811, 108031, 20713, 18904, 125338, 64121, 101200, 19732, 119680, 17129, 15024, 40862, 30297, 1811, 26854, 107188, 32149, 111090, 125380, 125334, 103470, 38144, 107202, 102800, 110018, 5486, 20713, 114754, 102416, 22957, 28713, 106824, 32977, 5486, 103283, 16144, 112832, 32149, 29295, 80988, 239, 105714, 76947, 109134, 109807, 80988, 239, 105714, 31431, 104088, 38144, 105994, 32977, 109134, 108422, 102677, 95221, 108176, 1811, 109933, 111999, 76428, 54926, 76739, 124643, 104603, 11972, 125334, 38144, 109749, 9174, 51330, 48864, 108710, 103188, 39607, 29295, 57980, 16995, 114318, 118953, 107610, 48864, 108710, 30512, 33014, 111186, 56051, 48864, 108710, 30046, 127282, 112844, 1811, 107202, 8239, 112, 120837, 5486, 100927, 58942, 110071, 16144, 126194, 5486, 105994, 126027, 48634, 16556, 19012, 112, 64121, 18655, 107462, 47884, 102677, 110229, 20230, 105843, 103350, 99750, 115991, 5486, 36785, 102189, 25827, 28190, 101828, 115737, 107462, 47884, 1811, 109933, 111999, 76428, 54926, 100909, 16144, 28190, 101828, 30813, 5486, 105465, 21105, 243, 116825, 32149, 62004, 81219, 5486, 101171, 111, 15682, 58426, 106592, 111098, 105784, 109335, 21105, 103, 47884, 109020, 1811, 101171, 111, 15682, 123213, 105284, 112535, 105994, 125030, 76947, 53901, 17129, 102800, 112169, 20230, 122502, 108895, 117408, 109900, 15682, 21990, 25359, 16144, 124122, 22656, 27327, 109860, 103195, 9174, 109933, 111999, 76428, 54926, 118733, 5486, 109933, 111999, 76428, 113116, 15682, 101662, 107462, 47884, 1811, 118953, 107610, 113245, 111681, 104482, 114099, 102669, 15682, 5486, 102159, 104680, 16144, 109933, 111999, 76428, 113116, 30512, 32977, 45736, 109315, 100909, 101983, 107462, 47884, 9174, 45048, 106613, 111186, 16144, 55999, 19361, 3922, 125641, 16144, 55999, 19361, 198, 118953, 107610, 48864, 108710, 77181, 5486, 48864, 108710, 30046, 105459, 29295, 112361, 106613, 111186, 30512, 55999, 19361, 54926, 100909, 108176, 109807, 112361, 106613, 111186, 30512, 74090, 55038, 20230, 78698, 105262, 100909, 108176, 105879, 5486, 106483, 117714, 37689, 111629, 54926, 110229, 29295, 113954, 15024, 126172, 16995, 9174, 53900, 5486, 110904, 109020, 106613, 111186, 103378, 126194, 108048, 20230, 112183, 30297, 125641, 30512, 55999, 19361, 54926, 1811, 125641, 15682, 123120, 56051, 110018, 20230, 125119, 30369, 101171, 111, 16144, 122502, 50834, 16144, 20713, 59739, 103195, 1811, 112361, 105933, 106613, 111186, 30512, 109768, 100604, 19732, 5486, 112690, 16556, 16995, 126910, 122984, 120837, 117475, 102052, 113954, 118765, 66327, 118953, 107610, 48864, 108710, 15682, 105465, 102800, 66383, 48864, 108710, 30046, 15682, 112844, 1811, 43167, 17129, 76947, 78183, 16995, 78183, 16995, 109134, 55031, 105465, 102800, 102677, 115552, 111769, 1811, 107202, 8239, 112, 120837, 5486, 59739, 110706, 48864, 108710, 127303, 114598, 5486, 114774, 5486, 109860, 127105, 105465, 102800, 102677, 16144, 103195, 1811, 48864, 108710, 112415, 30512, 103130, 62004, 100481, 47884, 124122, 107202, 8239, 112, 71289, 5486, 21388, 113529, 111848, 30775, 104, 108881, 99750, 5486, 80539, 19653, 16144, 104940, 102802, 1811, 21388, 113529, 30512, 101545, 44309, 54926, 105908, 103082, 104984, 5486, 21388, 113529, 72342, 101860, 20230, 103082, 28713, 110018, 105755, 115003, 231, 102800, 109807, 110018, 16144, 107202, 8239, 112, 71289, 104940, 102802, 30512, 17620, 107277, 40862, 105262, 5486, 102158, 31431, 40862, 105262, 113850, 56965, 29295, 107991, 102677, 105908, 27384, 112495, 104940, 102802, 117282, 9174, 45048, 118953, 107610, 48864, 108710, 30512, 103130, 62004, 100481, 47884, 48634, 15682, 5486, 118953, 107610, 48864, 108710, 107809, 16556, 101662, 125655, 198, 118953, 107610, 48864, 108710, 16144, 8239, 114503, 15682, 27384, 104721, 119448, 16995, 1811, 48864, 108710, 44915, 30512, 113954, 54926, 102677, 28190, 15682, 112844, 17129, 72661, 103470, 5486, 106222, 107809, 16556, 123120, 109768, 47884, 124122, 48634, 320, 36668, 33014, 9554, 123120, 48634, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 48634, 3922, 114516, 116690, 48634, 3922, 109933, 111999, 76428, 113116, 12380, 13, 7705, 30512, 118368, 47884, 102677, 115552, 126328, 5486, 17129, 30813, 20230, 109947, 124490, 26854, 48864, 108710, 112415, 16144, 67016, 28713, 102083, 58942, 101200, 9174, 80673, 5486, 118953, 107610, 48864, 108710, 15682, 119869, 55031, 26854, 107188, 32149, 30297, 17129, 47884, 15682, 118765, 1811, 118953, 107610, 20230, 21105, 243, 58942, 126693, 118953, 107610, 112415, 29295, 116166, 54926, 5486, 102677, 113334, 111769, 16144, 103195, 1811, 26854, 107188, 32149, 30297, 17129, 47884, 118765, 55031, 114341, 104577, 29430, 16556, 109134, 106116, 24273, 29295, 103856, 47884, 103130, 104004, 5486, 102677, 64467, 106839, 30046, 29295, 107991, 29295, 108048, 15682, 56965, 121953, 103195, 1811, 103130, 126559, 104468, 64467, 106839, 30046, 127303, 76947, 48864, 108710, 30046, 111769, 1811, 48864, 108710, 30046, 30512, 16995, 111201, 123120, 107726, 5486, 123120, 16144, 67016, 28713, 30512, 58426, 101171, 111, 107809, 20230, 116166, 107726, 100481, 47884, 32149, 102677, 105908, 5486, 48864, 108710, 16144, 30832, 105888, 101983, 33503, 123207, 105110, 100604, 9174, 118953, 107610, 112415, 29295, 30297, 17129, 47884, 118765, 55031, 127105, 5486, 118953, 107610, 48864, 108710, 30512, 107726, 103470, 38144, 15682, 105110, 100604, 1811, 118953, 107610, 112415, 15682, 5486, 118953, 107610, 48864, 108710, 107809, 16556, 58426, 123120, 16144, 67016, 28713, 30512, 115541, 108710, 15024, 23951, 37656, 109768, 47884, 100909, 113468, 67016, 5486, 108608, 101200, 101983, 110104, 1811, 30832, 105888, 123120, 16144, 46239, 16144, 106548, 24273, 71289, 100927, 103234, 16144, 19967, 31431, 24273, 16144, 49792, 101908, 115132, 45923, 66953, 112900, 71289, 107461, 52414, 16144, 121216, 24273, 5486, 110924, 20230, 64467, 106839, 112919, 48634, 29295, 102404, 127327, 84389, 103470, 38144, 15682, 105110, 100604, 9174, 14711, 220, 66115, 111925, 47884, 91774, 30369, 3922, 100204, 104043, 91774, 30369, 198, 101544, 98915, 115867, 45829, 67645, 32977, 105459, 102416, 111681, 104482, 15682, 5486, 101544, 98915, 121944, 107253, 104874, 39926, 105898, 13177, 120915, 119010, 122808, 124417, 1569, 115, 116531, 117503, 42634, 103621, 124629, 11883, 112810, 124905, 76947, 16144, 89154, 115332, 114835, 1811, 40053, 114457, 31809, 104575, 19732, 40053, 114457, 31809, 104575, 20230, 33035, 103836, 105994, 105459, 5486, 80539, 40053, 114457, 31809, 104575, 107407, 102865, 108048, 30512, 39880, 70563, 64178, 54926, 89154, 115332, 16144, 114835, 103195, 113637, 111681, 104482, 107809, 16556, 5486, 101544, 98915, 121944, 45829, 67645, 32977, 126027, 64209, 20230, 5486, 21405, 102321, 56051, 16995, 106592, 31106, 116, 50834, 115442, 33503, 107726, 100481, 47884, 107420, 64810 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 109242, 122202, 26854, 48864, 108710, 112415, 115717, 5486, 118953, 107610, 29295, 83747, 17792, 9039, 103195, 108680, 102208, 37026, 29295, 23039, 30297, 123120, 16144, 104091, 104770, 19732, 101513, 38093, 19732, 29295, 43240, 47884, 109020, 9174, 45048, 119046, 54926, 118733, 101171, 111, 29295, 101662, 59739, 90581, 17620, 104770, 15024, 110022, 40862, 54926, 48634, 3922, 114516, 116690, 48634, 198, 15120, 118821, 111681, 104482, 30512, 119046, 39926, 23039, 30297, 102052, 5486, 17620, 106529, 3922, 110022, 40862, 3922, 108975, 48634, 102083, 100472, 112415, 29295, 109215, 108176, 1811, 17620, 106529, 15024, 110022, 40862, 54926, 103188, 39607, 77181, 5486, 37087, 33014, 30512, 19732, 33503, 105262, 123120, 5486, 31634, 72238, 20230, 17620, 105784, 123120, 108048, 120577, 116690, 30512, 64531, 22649, 54926, 123120, 104309, 29295, 23039, 126832, 118844, 33503, 15682, 102944, 48154, 19732, 30512, 106391, 67178, 112535, 91774, 30369, 102677, 123120, 103195, 29295, 115847, 112212, 5486, 101171, 111, 15682, 102944, 48154, 19732, 30512, 106391, 67178, 112535, 19732, 33503, 105262, 106592, 106613, 111186, 54926, 9174, 53900, 5486, 118789, 112535, 123120, 103350, 102923, 54926, 103846, 102052, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 124490, 32149, 72342, 100604, 109900, 15682, 112690, 103378, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 126194, 5486, 105994, 71289, 120007, 16144, 123120, 19732, 107173, 20230, 57903, 5486, 123120, 30512, 116166, 124545, 124122, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 123120, 103195, 1811, 67645, 119775, 119046, 54926, 32149, 5486, 17620, 106529, 54926, 32149, 109900, 108422, 33121, 29295, 104873, 103854, 28713, 106592, 104405, 123011, 109315, 32149, 1811, 115364, 113727, 30512, 120007, 20230, 78183, 107277, 126172, 47884, 108044, 105262, 5486, 120007, 16144, 87177, 30512, 104655, 50834, 10110, 104655, 50834, 121216, 7705, 113727, 100934, 106592, 98499, 64121, 18655, 30369, 1811, 37689, 91774, 29295, 108901, 109020, 107803, 16995, 15682, 77693, 30512, 104873, 64531, 54926, 115789, 109215, 108176, 1811, 106483, 119178, 113850, 56965, 16144, 102404, 78244, 71289, 123120, 30512, 114181, 105085, 15024, 5486, 37689, 111629, 54926, 110229, 30512, 98499, 64121, 108167, 5486, 108975, 48634, 16144, 106548, 24273, 71289, 58426, 107507, 101198, 94550, 30512, 82420, 33503, 123207, 105110, 100604, 9174, 102131, 56051, 123120, 107809, 16556, 48864, 108710, 30046, 15682, 5486, 106081, 23039, 126845, 125144, 21105, 103, 29295, 33503, 37087, 33014, 107809, 113245, 102159, 16144, 57903, 32149, 28713, 5486, 102159, 16144, 110022, 40862, 103306, 16144, 37087, 33014, 16144, 57903, 24273, 30512, 106613, 111186, 109768, 47884, 100909, 108176, 124845, 5486, 106613, 111186, 56051, 106592, 5486, 101171, 111, 15682, 48864, 108710, 54926, 1811, 43240, 17792, 9039, 16556, 112028, 7741, 231, 48864, 108710, 16144, 107803, 72661, 108895, 56051, 123120, 119703, 113334, 111769, 29295, 5486, 9039, 114754, 102404, 78244, 39926, 30591, 107118, 43240, 9039, 104662, 16556, 104662, 109013, 31431, 5486, 112832, 32149, 29295, 106691, 16556, 103350, 111186, 71289, 125053, 30512, 15024, 5486, 108618, 31431, 15682, 77693, 30512, 114181, 105085, 54926, 102677, 105933, 83799, 110276, 31431, 39926, 5486, 48864, 108710, 30046, 77693, 108422, 33121, 16144, 123120, 16144, 33857, 19732, 105284, 15682, 118953, 107610, 48864, 108710, 20230, 110596, 47884, 82317, 81219, 100604, 9174, 45048, 100927, 58942, 40862, 30297, 118733, 5486, 113954, 29295, 102987, 115464, 63072, 105864, 246, 125534, 16144, 88356, 106391, 13153, 3922, 109606, 37689, 109375, 20230, 82912, 109669, 102334, 48864, 108710, 112415, 198, 118953, 107610, 48864, 108710, 122692, 13177, 100927, 58942, 40862, 30297, 66383, 95604, 123120, 29295, 5486, 44915, 16144, 113954, 30512, 106483, 119178, 102987, 62004, 30591, 30297, 102677, 8239, 114503, 107407, 103306, 115515, 26130, 30832, 110731, 97999, 13177, 100927, 58942, 40862, 16995, 118587, 66378, 20230, 37689, 111629, 56051, 118953, 107610, 48864, 108710, 30512, 13177, 108975, 104873, 48864, 108710, 66383, 95604, 13372, 16556, 105324, 126559, 1811, 340, 13177, 100927, 105262, 66383, 95604, 109335, 5486, 120007, 16144, 107750, 99397, 20230, 106608, 100204, 38144, 5486, 115364, 19732, 33503, 58942, 100934, 106592, 108044, 58942, 5486, 113954, 124545, 100909, 103195, 109807, 103846, 102052, 5486, 120007, 29295, 104405, 113727, 100934, 104865, 117119, 29295, 78183, 124403, 104865, 5486, 116825, 32149, 17129, 103470, 38144, 15682, 105110, 100604, 109807, 17905, 16556, 105994, 29295, 19732, 33503, 58942, 100934, 100909, 71289, 113954, 16144, 74090, 55038, 101983, 103836, 106592, 64531, 22649, 15024, 5486, 120007, 29295, 113954, 108608, 71289, 30813, 102800, 112690, 19732, 105242, 22649, 16556, 122984, 21105, 103, 47884, 38144, 15682, 105110, 100604, 1811, 120007, 16144, 127749, 113468, 30926, 27452, 30512, 20379, 56051, 31431, 5486, 118789, 53953, 124905, 100472, 31431, 39926, 122984, 21105, 103, 47884, 38144, 15682, 105110, 100604, 59459, 58426, 103188, 39607, 15682, 5486, 105755, 22656, 105284, 109904, 113954, 19732, 118789, 109904, 19732, 33503, 58942, 24273, 29295, 109215, 103195, 100909, 71289, 5486, 21105, 108, 21105, 108, 105994, 32977, 114652, 78183, 32149, 107462, 100604, 102677, 106592, 37026, 112854, 54926, 75267, 107173, 109020, 1811, 23954, 122984, 114475, 105784, 110366, 15682, 5486, 100927, 107290, 32977, 33503, 100472, 44915, 19732, 105994, 29295, 19732, 33503, 58942, 100934, 44915, 19732, 30512, 125261, 15024, 5486, 113487, 76622, 100934, 105494, 108010, 103836, 105494, 30512, 23951, 37656, 109768, 47884, 113637, 103188, 39607, 16556, 5486, 100927, 105262, 110366, 100927, 58942, 110071, 110366, 5486, 104836, 24273, 16144, 101171, 111, 16144, 61304, 125534, 15682, 99849, 27479, 32977, 103721, 108, 31431, 104196, 15024, 113801, 20834, 84389, 5486, 116690, 122382, 102204, 5486, 88356, 106391, 13153, 107001, 109900, 103378, 101171, 111, 16144, 101365, 106613, 18904, 47095, 29295, 122502, 47884, 102677, 100909, 103195, 1811, 101171, 111, 16144, 101365, 106613, 18904, 47095, 15682, 122502, 47884, 108680, 58426, 122502, 50834, 29295, 122060, 54926, 1811, 95543, 106608, 15024, 126172, 47884, 109020, 9174, 53900, 110371, 13177, 100927, 58942, 40862, 30297, 66383, 95604, 123120, 15682, 5486, 100927, 104599, 55031, 15120, 24273, 112535, 58318, 58942, 110071, 102944, 126194, 5486, 105994, 126027, 107750, 99397, 71289, 109606, 37689, 109375, 20230, 30591, 110027, 38144, 23039, 126832, 102677, 105908, 5486, 101171, 111, 29295, 122502, 50834, 126172, 16995, 77195, 105352, 26854, 103836, 1811, 105994, 105459, 29295, 123120, 56051, 113702, 10110, 103350, 111186, 113702, 71289, 5486, 104873, 103854, 28713, 100909, 7705, 71289, 5486, 118322, 123628, 118789, 109904, 30926, 103350, 71289, 100927, 103234, 30512, 108321, 103306, 23039, 126832, 103846, 5486, 61304, 125534, 108134, 29295, 118823, 102756, 105048, 33208, 10110, 97518, 89046, 109669, 76622, 7705, 84389, 126172, 117714, 103195, 1811, 112727, 33121, 20230, 47884, 16995, 5486, 105184, 107188, 61304, 125534, 108176, 102677, 100909, 103195, 9174, 45048, 109933, 111999, 76428, 54926, 123457, 101662, 125655, 198, 111108, 102800, 111681, 104482, 20230, 114099, 102669, 118765, 104468, 102717, 19732, 124592, 16144, 107803, 5486, 21388, 113529, 113115, 54926, 109755, 33121, 16144, 103846, 103195, 119520, 5486, 20713, 17792, 77181, 118765, 102131, 126758, 116499, 30358, 47884, 109020, 105933, 115789, 5486, 34617, 17792, 19, 17792, 19732, 113850, 56965, 125001, 104984, 99849, 19732, 107188, 30369, 32149, 32977, 19732, 30537, 20713, 105564, 29295, 119870, 64121, 20834, 122101, 1811, 29295, 25827, 81219, 104984, 71289, 33121, 102131, 118816, 112391, 28713, 110018, 5486, 101171, 111, 15682, 32335, 32977, 76706, 34171, 33208, 54926, 1811, 118953, 107610, 58426, 102944, 20230, 101171, 111, 30512, 76706, 34171, 33208, 54926, 77195, 29295, 104874, 78183, 107462, 104533, 78244, 114598, 57980, 118544, 121061, 9174, 118953, 107610, 16556, 108167, 103214, 104004, 107803, 5486, 21388, 113529, 120837, 113850, 56965, 16556, 108631, 64121, 30512, 17620, 76622, 40862, 30297, 105908, 108608, 1811, 108031, 20713, 18904, 125338, 64121, 101200, 19732, 119680, 17129, 15024, 40862, 30297, 1811, 26854, 107188, 32149, 111090, 125380, 125334, 103470, 38144, 107202, 102800, 110018, 5486, 20713, 114754, 102416, 22957, 28713, 106824, 32977, 5486, 103283, 16144, 112832, 32149, 29295, 80988, 239, 105714, 76947, 109134, 109807, 80988, 239, 105714, 31431, 104088, 38144, 105994, 32977, 109134, 108422, 102677, 95221, 108176, 1811, 109933, 111999, 76428, 54926, 76739, 124643, 104603, 11972, 125334, 38144, 109749, 9174, 51330, 48864, 108710, 103188, 39607, 29295, 57980, 16995, 114318, 118953, 107610, 48864, 108710, 30512, 33014, 111186, 56051, 48864, 108710, 30046, 127282, 112844, 1811, 107202, 8239, 112, 120837, 5486, 100927, 58942, 110071, 16144, 126194, 5486, 105994, 126027, 48634, 16556, 19012, 112, 64121, 18655, 107462, 47884, 102677, 110229, 20230, 105843, 103350, 99750, 115991, 5486, 36785, 102189, 25827, 28190, 101828, 115737, 107462, 47884, 1811, 109933, 111999, 76428, 54926, 100909, 16144, 28190, 101828, 30813, 5486, 105465, 21105, 243, 116825, 32149, 62004, 81219, 5486, 101171, 111, 15682, 58426, 106592, 111098, 105784, 109335, 21105, 103, 47884, 109020, 1811, 101171, 111, 15682, 123213, 105284, 112535, 105994, 125030, 76947, 53901, 17129, 102800, 112169, 20230, 122502, 108895, 117408, 109900, 15682, 21990, 25359, 16144, 124122, 22656, 27327, 109860, 103195, 9174, 109933, 111999, 76428, 54926, 118733, 5486, 109933, 111999, 76428, 113116, 15682, 101662, 107462, 47884, 1811, 118953, 107610, 113245, 111681, 104482, 114099, 102669, 15682, 5486, 102159, 104680, 16144, 109933, 111999, 76428, 113116, 30512, 32977, 45736, 109315, 100909, 101983, 107462, 47884, 9174, 45048, 106613, 111186, 16144, 55999, 19361, 3922, 125641, 16144, 55999, 19361, 198, 118953, 107610, 48864, 108710, 77181, 5486, 48864, 108710, 30046, 105459, 29295, 112361, 106613, 111186, 30512, 55999, 19361, 54926, 100909, 108176, 109807, 112361, 106613, 111186, 30512, 74090, 55038, 20230, 78698, 105262, 100909, 108176, 105879, 5486, 106483, 117714, 37689, 111629, 54926, 110229, 29295, 113954, 15024, 126172, 16995, 9174, 53900, 5486, 110904, 109020, 106613, 111186, 103378, 126194, 108048, 20230, 112183, 30297, 125641, 30512, 55999, 19361, 54926, 1811, 125641, 15682, 123120, 56051, 110018, 20230, 125119, 30369, 101171, 111, 16144, 122502, 50834, 16144, 20713, 59739, 103195, 1811, 112361, 105933, 106613, 111186, 30512, 109768, 100604, 19732, 5486, 112690, 16556, 16995, 126910, 122984, 120837, 117475, 102052, 113954, 118765, 66327, 118953, 107610, 48864, 108710, 15682, 105465, 102800, 66383, 48864, 108710, 30046, 15682, 112844, 1811, 43167, 17129, 76947, 78183, 16995, 78183, 16995, 109134, 55031, 105465, 102800, 102677, 115552, 111769, 1811, 107202, 8239, 112, 120837, 5486, 59739, 110706, 48864, 108710, 127303, 114598, 5486, 114774, 5486, 109860, 127105, 105465, 102800, 102677, 16144, 103195, 1811, 48864, 108710, 112415, 30512, 103130, 62004, 100481, 47884, 124122, 107202, 8239, 112, 71289, 5486, 21388, 113529, 111848, 30775, 104, 108881, 99750, 5486, 80539, 19653, 16144, 104940, 102802, 1811, 21388, 113529, 30512, 101545, 44309, 54926, 105908, 103082, 104984, 5486, 21388, 113529, 72342, 101860, 20230, 103082, 28713, 110018, 105755, 115003, 231, 102800, 109807, 110018, 16144, 107202, 8239, 112, 71289, 104940, 102802, 30512, 17620, 107277, 40862, 105262, 5486, 102158, 31431, 40862, 105262, 113850, 56965, 29295, 107991, 102677, 105908, 27384, 112495, 104940, 102802, 117282, 9174, 45048, 118953, 107610, 48864, 108710, 30512, 103130, 62004, 100481, 47884, 48634, 15682, 5486, 118953, 107610, 48864, 108710, 107809, 16556, 101662, 125655, 198, 118953, 107610, 48864, 108710, 16144, 8239, 114503, 15682, 27384, 104721, 119448, 16995, 1811, 48864, 108710, 44915, 30512, 113954, 54926, 102677, 28190, 15682, 112844, 17129, 72661, 103470, 5486, 106222, 107809, 16556, 123120, 109768, 47884, 124122, 48634, 320, 36668, 33014, 9554, 123120, 48634, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 48634, 3922, 114516, 116690, 48634, 3922, 109933, 111999, 76428, 113116, 12380, 13, 7705, 30512, 118368, 47884, 102677, 115552, 126328, 5486, 17129, 30813, 20230, 109947, 124490, 26854, 48864, 108710, 112415, 16144, 67016, 28713, 102083, 58942, 101200, 9174, 80673, 5486, 118953, 107610, 48864, 108710, 15682, 119869, 55031, 26854, 107188, 32149, 30297, 17129, 47884, 15682, 118765, 1811, 118953, 107610, 20230, 21105, 243, 58942, 126693, 118953, 107610, 112415, 29295, 116166, 54926, 5486, 102677, 113334, 111769, 16144, 103195, 1811, 26854, 107188, 32149, 30297, 17129, 47884, 118765, 55031, 114341, 104577, 29430, 16556, 109134, 106116, 24273, 29295, 103856, 47884, 103130, 104004, 5486, 102677, 64467, 106839, 30046, 29295, 107991, 29295, 108048, 15682, 56965, 121953, 103195, 1811, 103130, 126559, 104468, 64467, 106839, 30046, 127303, 76947, 48864, 108710, 30046, 111769, 1811, 48864, 108710, 30046, 30512, 16995, 111201, 123120, 107726, 5486, 123120, 16144, 67016, 28713, 30512, 58426, 101171, 111, 107809, 20230, 116166, 107726, 100481, 47884, 32149, 102677, 105908, 5486, 48864, 108710, 16144, 30832, 105888, 101983, 33503, 123207, 105110, 100604, 9174, 118953, 107610, 112415, 29295, 30297, 17129, 47884, 118765, 55031, 127105, 5486, 118953, 107610, 48864, 108710, 30512, 107726, 103470, 38144, 15682, 105110, 100604, 1811, 118953, 107610, 112415, 15682, 5486, 118953, 107610, 48864, 108710, 107809, 16556, 58426, 123120, 16144, 67016, 28713, 30512, 115541, 108710, 15024, 23951, 37656, 109768, 47884, 100909, 113468, 67016, 5486, 108608, 101200, 101983, 110104, 1811, 30832, 105888, 123120, 16144, 46239, 16144, 106548, 24273, 71289, 100927, 103234, 16144, 19967, 31431, 24273, 16144, 49792, 101908, 115132, 45923, 66953, 112900, 71289, 107461, 52414, 16144, 121216, 24273, 5486, 110924, 20230, 64467, 106839, 112919, 48634, 29295, 102404, 127327, 84389, 103470, 38144, 15682, 105110, 100604, 9174, 14711, 220, 66115, 111925, 47884, 91774, 30369, 3922, 100204, 104043, 91774, 30369, 198, 101544, 98915, 115867, 45829, 67645, 32977, 105459, 102416, 111681, 104482, 15682, 5486, 101544, 98915, 121944, 107253, 104874, 39926, 105898, 13177, 120915, 119010, 122808, 124417, 1569, 115, 116531, 117503, 42634, 103621, 124629, 11883, 112810, 124905, 76947, 16144, 89154, 115332, 114835, 1811, 40053, 114457, 31809, 104575, 19732, 40053, 114457, 31809, 104575, 20230, 33035, 103836, 105994, 105459, 5486, 80539, 40053, 114457, 31809, 104575, 107407, 102865, 108048, 30512, 39880, 70563, 64178, 54926, 89154, 115332, 16144, 114835, 103195, 113637, 111681, 104482, 107809, 16556, 5486, 101544, 98915, 121944, 45829, 67645, 32977, 126027, 64209, 20230, 5486, 21405, 102321, 56051, 16995, 106592, 31106, 116, 50834, 115442, 33503, 107726, 100481, 47884, 107420, 64810 ]
[ 22398, 30512, 71493, 127194, 29295, 104862, 30297, 9174, 101544, 98915, 117940, 107141, 101275, 111671, 74482, 114225, 118969, 45829, 67645, 32977, 105459, 30512, 33035, 48864, 47095, 20230, 89046, 33121, 121406, 124845, 5486, 116414, 32149, 95221, 101983, 104533, 107404, 30512, 20713, 32149, 32938, 102647, 104127, 78250, 17620, 56965, 91774, 106307, 105784, 104466, 19732, 112844, 1811, 109416, 25827, 71289, 31431, 91774, 30369, 16144, 126194, 100204, 104043, 91774, 30369, 109807, 117591, 64209, 20230, 111179, 32149, 25827, 103082, 28713, 105908, 105693, 33503, 108048, 30512, 88435, 20230, 102181, 47884, 1811, 121995, 15682, 110240, 126660, 1811, 102181, 16995, 100481, 16995, 104468, 88435, 103378, 103195, 9174, 45829, 67645, 32977, 127282, 27704, 62004, 109076, 115461, 103836, 1811, 99849, 104088, 127567, 57980, 16995, 104865, 78183, 124403, 1811, 104405, 91774, 127567, 57980, 16995, 104865, 78183, 124403, 1811, 19732, 112649, 47884, 100204, 104043, 91774, 100934, 104466, 117952, 33121, 5486, 91774, 106307, 105784, 1811, 67016, 21105, 251, 16144, 117591, 5486, 45829, 67645, 32977, 126027, 64209, 102052, 16995, 85791, 16995, 85791, 26854, 114284, 29295, 78183, 50834, 30591, 29295, 76947, 109749, 1811, 91774, 107290, 109749, 102944, 107407, 9174, 13177, 99849, 104088, 100934, 16144, 11571, 59712, 104405, 39926, 110382, 30512, 102647, 102189, 16144, 91006, 111925, 98915, 117940, 58426, 103826, 45829, 30512, 114181, 105085, 21105, 103, 29295, 33503, 45829, 67645, 32977, 105459, 20230, 105284, 99397, 54926, 9174, 13177, 117273, 20230, 104328, 102802, 29295, 17701, 103836, 1811, 102491, 16995, 45893, 113461, 26854, 11972, 76947, 91763, 100472, 1811, 111329, 13177, 51330, 104398, 16995, 45893, 16144, 70141, 30297, 20230, 127880, 46729, 107407, 1811, 109860, 27384, 53901, 112495, 16144, 1811, 111329, 13177, 51330, 33334, 72516, 10110, 107918, 102571, 7705, 101860, 16995, 104369, 25827, 101544, 16995, 100909, 101182, 26854, 30591, 1811, 109749, 109749, 18904, 30369, 46091, 39135, 16144, 52030, 88631, 5486, 102491, 16995, 107493, 33334, 116826, 33121, 26854, 112391, 1811, 111329, 13177, 110382, 20230, 37507, 30369, 102083, 59739, 32977, 33334, 16995, 102800, 7, 80805, 113883, 8, 13773, 224, 16995, 29295, 54926, 102189, 111329, 13177, 100783, 239, 29295, 43240, 47884, 38144, 106353, 32149, 109860, 110745, 53901, 112495, 45893, 1811, 72661, 37271, 15682, 5486, 49792, 30926, 16325, 16556, 33035, 110615, 105879, 101128, 242, 102800, 1811, 111329, 121410, 9080, 15120, 112661, 16556, 121640, 103188, 105557, 100481, 47884, 116245, 30512, 5486, 101544, 47884, 91774, 30369, 5486, 100204, 104043, 91774, 30369, 118733, 5486, 43511, 110792, 121953, 30512, 102404, 91774, 15024, 5486, 115364, 114284, 20230, 95221, 109669, 50834, 5486, 117382, 16144, 106613, 111186, 29295, 113801, 20834, 84389, 5486, 80539, 17039, 28713, 26854, 102404, 91774, 123410, 1811, 100927, 102452, 20230, 114941, 100472, 45829, 67645, 32977, 127282, 5486, 39850, 102494, 30512, 32977, 19732, 20230, 78183, 29295, 33035, 48864, 47095, 30512, 89154, 115332, 103306, 110240, 50834, 27704, 109315, 9174, 13177, 58426, 121995, 107898, 16995, 102800, 13773, 224, 16995, 29295, 21405, 102321, 118765, 11571, 59712, 33035, 33121, 103470, 38144, 101128, 242, 102800, 102677, 120208, 30512, 21405, 39926, 48154, 33503, 25827, 10646, 101544, 98915, 115867, 112690, 20230, 110456, 106266, 84389, 5486, 45829, 67645, 32977, 127282, 77693, 108422, 33121, 115364, 64209, 20230, 78183, 50834, 30591, 29295, 100472, 114284, 30512, 21405, 102321, 109768, 47884, 1811, 104773, 64936, 120938, 35894, 20230, 111179, 32149, 102189, 110305, 102756, 26269, 60868, 16073, 5486, 100783, 239, 16144, 31809, 45893, 16144, 120774, 20230, 121697, 109115, 13177, 49792, 30926, 16325, 80195, 17701, 124260, 117503, 52030, 88631, 5486, 101426, 119883, 47884, 102865, 124259, 106307, 47884, 104398, 16995, 45893, 5486, 55723, 28190, 34617, 17620, 16144, 20713, 102944, 119448, 30813, 16556, 121200, 71289, 111201, 110240, 32149, 103468, 22649, 122615, 72516, 16144, 34617, 39135, 89154, 64178, 16449, 16449, 16449, 1811, 45631, 121995, 76947, 115364, 120208, 30512, 21405, 102321, 54926, 102944, 113461, 101832, 125939, 103296, 121995, 15682, 50834, 110706, 103351, 107493, 5486, 120111, 110276, 115204, 21105, 123, 100204, 64121, 19732, 45829, 67645, 32977, 29295, 99750, 101067, 30512, 43032, 103854, 30369, 9174, 100204, 104043, 91774, 30369, 1811, 112361, 13177, 91774, 30369, 10646, 72661, 36896, 112384, 104043, 91774, 30369, 66383, 95604, 100909, 19732, 36896, 101544, 47884, 120766, 39926, 91774, 30369, 66383, 95604, 100909, 77181, 5486, 101171, 111, 125030, 76947, 16144, 110456, 106266, 16144, 105284, 29295, 108010, 30297, 1811, 104195, 16995, 110456, 106266, 107173, 108010, 30297, 5486, 101544, 16995, 110456, 106266, 1811, 101171, 111, 48864, 112919, 122447, 76505, 105298, 15120, 104703, 105514, 15682, 13177, 101171, 111, 15682, 112008, 102800, 19732, 113727, 102204, 100604, 66383, 112844, 1811, 101171, 111, 107809, 16144, 118823, 102756, 105048, 20230, 22023, 18476, 29295, 108044, 116547, 16995, 85791, 16995, 85791, 112415, 54926, 102052, 82973, 29295, 109215, 26854, 105272, 102131, 36785, 1811, 112361, 102944, 30512, 101544, 47884, 91774, 30369, 102677, 104468, 106116, 110456, 106266, 30512, 108321, 103306, 78698, 105262, 82973, 30512, 114392, 20230, 101171, 111, 20230, 58318, 105262, 5486, 102677, 100909, 26854, 105879, 30591, 103950, 9174, 80539, 5486, 91774, 28713, 106592, 114225, 20230, 121995, 20230, 110240, 126660, 16556, 5486, 112690, 16556, 39850, 102494, 54926, 102677, 100909, 16144, 115552, 1811, 121995, 30512, 110240, 47884, 100909, 19732, 5486, 112690, 16556, 21405, 102321, 54926, 102677, 100909, 107118, 5486, 101171, 111, 103306, 16144, 112415, 16144, 67016, 28713, 29295, 108010, 30297, 1811, 91774, 28713, 106592, 114225, 121995, 20230, 110240, 126145, 5486, 110904, 109020, 62543, 21990, 117084, 114732, 105908, 127181, 1811, 101171, 111, 16144, 122502, 50834, 29295, 5486, 30832, 117758, 108134, 19732, 112909, 91875, 123772, 121995, 30512, 110240, 47884, 123120, 30512, 116690, 109669, 105784, 120266, 70141, 32149, 30297, 55031, 103195, 119520, 5486, 91774, 28713, 106592, 112690, 16556, 39850, 102494, 30512, 112990, 108048, 113468, 125641, 71289, 25197, 126989, 29295, 119448, 47884, 102987, 47884, 104735, 101, 33503, 104004, 1811, 123671, 123671, 15682, 104654, 107809, 16556, 5486, 112690, 124905, 76947, 113727, 71289, 125641, 30512, 64531, 22649, 39926, 50834, 100934, 55031, 103195, 9174, 101544, 16995, 110456, 106266, 15682, 125456, 30512, 102987, 109315, 119520, 13177, 112384, 42891, 66383, 95604, 91774, 24273, 77181, 101171, 111, 29295, 122502, 126660, 32149, 102677, 19732, 121906, 111769, 1811, 112384, 104043, 91774, 30369, 102677, 110456, 106266, 16556, 122502, 47884, 122502, 50834, 24273, 32977, 5486, 101171, 111, 102052, 101182, 118855, 5486, 20713, 2845, 113, 32938, 103378, 30512, 100204, 104043, 91774, 101732, 16144, 77181, 91774, 119841, 110745, 112495, 108285, 29295, 31431, 30512, 75694, 104043, 91774, 100934, 55031, 127105, 91774, 105262, 5486, 125261, 54926, 55031, 91774, 105262, 102677, 115789, 101182, 1811, 121410, 9080, 37026, 108436, 101918, 16556, 23039, 47884, 33035, 114731, 47095, 1811, 20713, 2845, 113, 32938, 20713, 2845, 113, 32938, 15682, 15120, 112661, 16556, 121640, 103188, 105557, 100481, 47884, 29295, 106116, 108882, 64121, 30358, 101832, 16556, 91774, 107290, 109749, 102944, 107407, 1811, 122202, 105301, 16144, 104091, 104770, 19732, 124787, 5486, 102185, 16144, 87447, 102185, 19732, 126287, 71289, 9080, 102867, 16144, 116690, 5486, 45893, 23039, 47884, 16325, 106718, 117734, 21990, 16144, 105564, 50834, 24273, 71289, 44309, 99741, 126365, 105262, 77693, 108422, 33121, 16144, 104575, 16144, 64467, 106839, 48634, 31195, 5486, 112185, 112185, 16995, 126910, 72661, 101182, 9174, 101171, 111, 15682, 5486, 110456, 106266, 16144, 58318, 58942, 24273, 16556, 16995, 85791, 16995, 85791, 26854, 112415, 16144, 67016, 28713, 123410, 102677, 100909, 36785, 1811, 20033, 118, 106266, 16144, 58318, 58942, 24273, 19732, 101171, 111, 16144, 122502, 50834, 24273, 3922, 122502, 32149, 72342, 24273, 1811, 102131, 95604, 103984, 28542, 55031, 48864, 108710, 16144, 67016, 28713, 7, 107726, 24273, 121782, 123120, 16144, 67016, 28713, 7, 107726, 24273, 8, 104088, 74245, 39926, 64121, 30369, 102677, 105908, 109215, 111769, 32149, 9174, 14711, 220, 66224, 220, 81191, 113127, 16144, 107141, 101275, 198, 47774, 44597, 27113, 8107, 123628, 107141, 101275, 104873, 112984, 198, 115638, 25963, 44597, 8107, 5486, 29504, 80195, 104378, 121224, 29295, 111717, 31809, 16325, 104575, 104378, 111681, 39607, 104873, 112984, 112028, 108476, 103306, 107141, 101275, 102473, 117824, 100472, 1811, 20713, 82973, 16144, 107141, 101275, 122692, 100927, 104599, 16144, 112415, 5486, 21990, 107263, 16144, 112415, 30512, 101545, 31958, 20230, 114181, 105085, 15024, 61304, 108565, 30512, 19732, 100472, 1811, 100927, 104599, 29295, 104405, 95604, 100927, 103234, 30512, 46239, 15024, 120953, 95604, 122984, 30512, 15024, 5486, 111199, 88631, 102052, 99849, 30512, 102181, 50834, 120953, 95604, 105284, 99397, 126198, 32149, 1811, 104405, 95604, 123120, 30512, 64467, 20379, 56051, 32149, 1811, 21990, 107263, 15682, 112832, 104680, 29295, 112909, 109415, 38144, 106116, 117591, 99849, 114754, 67645, 103171, 106592, 115791, 32149, 109807, 103899, 58942, 30512, 100927, 104599, 15682, 104405, 95604, 105104, 30297, 20230, 64531, 22649, 126198, 32149, 118855, 5486, 100927, 104599, 16144, 64467, 20379, 113115, 39926, 21990, 107263, 15682, 104405, 95604, 123120, 30512, 19732, 31431, 5486, 100927, 104599, 15682, 77693, 113115, 39926, 104405, 64467, 106839, 56051, 32149, 109807, 107420, 64810, 22398, 30512, 101860, 104043, 106596, 109768, 76947, 5486, 48864, 108710, 30832, 105888, 16144, 121697, 32149, 28713, 71289, 107141, 101275, 16144, 77413, 87447, 16144, 67016, 28713, 50667, 122692, 109606, 28542, 30512, 31958, 33503, 111201, 109768, 47884, 5486, 102677, 102473, 126198, 16144, 103195, 9174, 102131, 56051, 106592, 34617, 21909, 46702, 8107, 106307, 107441, 106116, 16325, 16556, 78183, 32149, 121118, 105908, 105693, 1811, 111717, 16144, 67645, 16144, 119208, 16144, 5486, 67645, 16144, 107059, 22398, 121960, 32977, 5486, 44597, 27113, 9039, 107707, 16325, 16556, 114181, 105085, 61304, 108565, 16144, 21405, 117158, 38144, 109749, 104468, 5486, 108064, 32977, 78250, 17792, 39607, 5486, 59739, 109709, 81191, 113127, 16144, 21990, 107263, 20230, 103188, 105557, 100604, 102677, 100909, 103351, 109807, 78250, 107707, 21990, 107263, 15682, 105408, 102083, 85791, 16995, 85791, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 39926, 95543, 106608, 29295, 78183, 117295, 29295, 108149, 110792, 46702, 27113, 116537, 78183, 124403, 9174, 110924, 16556, 115515, 27479, 15682, 108618, 30369, 46702, 27113, 114754, 107141, 101275, 16325, 104405, 107113, 32149, 30512, 104655, 50834, 108167, 104873, 112984, 126198, 110229, 36896, 78183, 107277, 50834, 100472, 100909, 109860, 112909, 109415, 104435, 66383, 95604, 21990, 107263, 32977, 16995, 100604, 113334, 77181, 104435, 29295, 121906, 95604, 104468, 102131, 111338, 58911, 112987, 100604, 66327, 105408, 117119, 119852, 25827, 104865, 26854, 66383, 91763, 103836, 117591, 20230, 116531, 106656, 29295, 103899, 107290, 114604, 1811, 104405, 95604, 100909, 108995, 19732, 113727, 100934, 117591, 20230, 5486, 124944, 121944, 127091, 115791, 66327, 77693, 16556, 104712, 104865, 26854, 66383, 109440, 103836, 117591, 20230, 33671, 102416, 103130, 104127, 114604, 5486, 102677, 105933, 21990, 107263, 29295, 120019, 107991, 118855, 5486, 105408, 29295, 115791, 105908, 78183, 55031, 103470, 38144, 113727, 100934, 117591, 20230, 106116, 105908, 77413, 87447, 39926, 122270, 111108, 106624, 26854, 100472, 1811, 105284, 99397, 56051, 16995, 106046, 106358, 29295, 106116, 107507, 101198, 94550, 30512, 109440, 103836, 117591, 20230, 105408, 16144, 87177, 15682, 122270, 33671, 102416, 103130, 104127, 114604, 102677, 21990, 107263, 32977, 83747, 103470, 100604, 123405, 33121, 57980, 30591, 33121, 57980, 102677, 122756, 46702, 44597, 17620, 56965, 29295, 120195, 38144, 114604, 121906, 95604, 121894, 103351, 102677, 105272, 9174, 59739, 109709, 5486, 108618, 111331, 46702, 27113, 17792, 5486, 66115, 27113, 113127, 16144, 21990, 107263, 105459, 102052, 5486, 48864, 108710, 15682, 116166, 109768, 104435, 1811, 107141, 101275, 16144, 46702, 44597, 17620, 56965, 15682, 5486, 21990, 107263, 126027, 101171, 111, 30512, 122502, 32149, 122101, 124122, 75267, 101983, 107462, 104435, 102677, 100909, 103195, 109900, 55031, 44597, 27113, 8107, 106613, 100472, 37271, 121906, 56051, 127749, 15682, 67645, 33121, 108680, 50338, 104662, 110731, 120900, 32149, 9174, 47774, 118899, 16144, 107141, 101275, 127749, 198, 118899, 120268, 3922, 16325, 3922, 45736, 16144, 20713, 66115, 107707, 100927, 104599, 111848, 82420, 25963, 34617, 107141, 101275, 114447, 101513, 38093, 122291, 1811, 35417, 80195, 29295, 27384, 103268, 103195, 29295, 5486, 105268, 104055, 86127, 80195, 32977, 96412, 17129, 115032, 1811, 70626, 30832, 112987, 101860, 33121, 32977, 22649, 70626, 1811, 16995, 101860, 33121, 32977, 108882, 110993, 112535, 108167, 103214, 126559, 102677, 100927, 104599, 126027, 107141, 101275, 103195, 1811, 118288, 37271, 109606, 101983, 103836, 45829, 67645, 32977, 126027, 22649, 70626, 106627, 33121, 9458, 22649, 70626, 115389, 16995, 50338, 104662, 16144, 45893, 30512, 106767, 30369, 102677, 115552, 55031, 32977, 5486, 102987, 16995, 97518, 64209, 114792, 76947, 107141, 101275, 30512, 114181, 105085, 56051, 9174, 20713, 107059, 117718, 17792, 9039, 15682, 25963, 25963, 21909, 34617, 68093, 17792, 5486, 44597, 27113, 8107, 123628, 46702, 111017, 21909, 60596, 111017, 19732, 107188, 31431, 83747, 123733, 103836, 1811, 120370, 71289, 100927, 103234, 32977, 44597, 27113, 8107, 25580, 107118, 119448, 47884, 124500, 100472, 1811, 67645, 16144, 100927, 102452, 72661, 16027, 102494, 78683, 47307, 71289, 80172, 58322, 115240, 16144, 91774, 110071, 115592, 102540, 16073, 5486, 109713, 70563, 72369, 108337, 29295, 102332, 22324, 116216, 108086, 5486, 16027, 109935, 5486, 109713, 70563, 72369, 108337, 30512, 76706, 11883, 56051, 68408, 76428, 122258, 100927, 103234, 5486, 124773, 123437, 67075, 29295, 76706, 11883, 108608, 101200, 101983, 106358, 1811, 102131, 56051, 117501, 107809, 16556, 77413, 87447, 103646, 107141, 101275, 15682, 104405, 115287, 32149, 9174, 25963, 34617, 107141, 101275, 16144, 117591, 16144, 46702, 118821, 102159, 103283, 107141, 101275, 5486, 44597, 118821, 103350, 111186, 30512, 104356, 114267, 107141, 101275, 30512, 103283, 103306, 5486, 20713, 46702, 29295, 15120, 7741, 231, 107141, 101275, 115287, 1811, 107141, 101275, 77413, 87447, 16144, 106548, 24273, 15682, 15120, 7741, 231, 107141, 101275, 16144, 107803, 5486, 67645, 33121, 32977, 108729, 9554, 102052, 44597, 27113, 8107, 25580, 19732, 124500, 107462 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 22398, 30512, 71493, 127194, 29295, 104862, 30297, 9174, 101544, 98915, 117940, 107141, 101275, 111671, 74482, 114225, 118969, 45829, 67645, 32977, 105459, 30512, 33035, 48864, 47095, 20230, 89046, 33121, 121406, 124845, 5486, 116414, 32149, 95221, 101983, 104533, 107404, 30512, 20713, 32149, 32938, 102647, 104127, 78250, 17620, 56965, 91774, 106307, 105784, 104466, 19732, 112844, 1811, 109416, 25827, 71289, 31431, 91774, 30369, 16144, 126194, 100204, 104043, 91774, 30369, 109807, 117591, 64209, 20230, 111179, 32149, 25827, 103082, 28713, 105908, 105693, 33503, 108048, 30512, 88435, 20230, 102181, 47884, 1811, 121995, 15682, 110240, 126660, 1811, 102181, 16995, 100481, 16995, 104468, 88435, 103378, 103195, 9174, 45829, 67645, 32977, 127282, 27704, 62004, 109076, 115461, 103836, 1811, 99849, 104088, 127567, 57980, 16995, 104865, 78183, 124403, 1811, 104405, 91774, 127567, 57980, 16995, 104865, 78183, 124403, 1811, 19732, 112649, 47884, 100204, 104043, 91774, 100934, 104466, 117952, 33121, 5486, 91774, 106307, 105784, 1811, 67016, 21105, 251, 16144, 117591, 5486, 45829, 67645, 32977, 126027, 64209, 102052, 16995, 85791, 16995, 85791, 26854, 114284, 29295, 78183, 50834, 30591, 29295, 76947, 109749, 1811, 91774, 107290, 109749, 102944, 107407, 9174, 13177, 99849, 104088, 100934, 16144, 11571, 59712, 104405, 39926, 110382, 30512, 102647, 102189, 16144, 91006, 111925, 98915, 117940, 58426, 103826, 45829, 30512, 114181, 105085, 21105, 103, 29295, 33503, 45829, 67645, 32977, 105459, 20230, 105284, 99397, 54926, 9174, 13177, 117273, 20230, 104328, 102802, 29295, 17701, 103836, 1811, 102491, 16995, 45893, 113461, 26854, 11972, 76947, 91763, 100472, 1811, 111329, 13177, 51330, 104398, 16995, 45893, 16144, 70141, 30297, 20230, 127880, 46729, 107407, 1811, 109860, 27384, 53901, 112495, 16144, 1811, 111329, 13177, 51330, 33334, 72516, 10110, 107918, 102571, 7705, 101860, 16995, 104369, 25827, 101544, 16995, 100909, 101182, 26854, 30591, 1811, 109749, 109749, 18904, 30369, 46091, 39135, 16144, 52030, 88631, 5486, 102491, 16995, 107493, 33334, 116826, 33121, 26854, 112391, 1811, 111329, 13177, 110382, 20230, 37507, 30369, 102083, 59739, 32977, 33334, 16995, 102800, 7, 80805, 113883, 8, 13773, 224, 16995, 29295, 54926, 102189, 111329, 13177, 100783, 239, 29295, 43240, 47884, 38144, 106353, 32149, 109860, 110745, 53901, 112495, 45893, 1811, 72661, 37271, 15682, 5486, 49792, 30926, 16325, 16556, 33035, 110615, 105879, 101128, 242, 102800, 1811, 111329, 121410, 9080, 15120, 112661, 16556, 121640, 103188, 105557, 100481, 47884, 116245, 30512, 5486, 101544, 47884, 91774, 30369, 5486, 100204, 104043, 91774, 30369, 118733, 5486, 43511, 110792, 121953, 30512, 102404, 91774, 15024, 5486, 115364, 114284, 20230, 95221, 109669, 50834, 5486, 117382, 16144, 106613, 111186, 29295, 113801, 20834, 84389, 5486, 80539, 17039, 28713, 26854, 102404, 91774, 123410, 1811, 100927, 102452, 20230, 114941, 100472, 45829, 67645, 32977, 127282, 5486, 39850, 102494, 30512, 32977, 19732, 20230, 78183, 29295, 33035, 48864, 47095, 30512, 89154, 115332, 103306, 110240, 50834, 27704, 109315, 9174, 13177, 58426, 121995, 107898, 16995, 102800, 13773, 224, 16995, 29295, 21405, 102321, 118765, 11571, 59712, 33035, 33121, 103470, 38144, 101128, 242, 102800, 102677, 120208, 30512, 21405, 39926, 48154, 33503, 25827, 10646, 101544, 98915, 115867, 112690, 20230, 110456, 106266, 84389, 5486, 45829, 67645, 32977, 127282, 77693, 108422, 33121, 115364, 64209, 20230, 78183, 50834, 30591, 29295, 100472, 114284, 30512, 21405, 102321, 109768, 47884, 1811, 104773, 64936, 120938, 35894, 20230, 111179, 32149, 102189, 110305, 102756, 26269, 60868, 16073, 5486, 100783, 239, 16144, 31809, 45893, 16144, 120774, 20230, 121697, 109115, 13177, 49792, 30926, 16325, 80195, 17701, 124260, 117503, 52030, 88631, 5486, 101426, 119883, 47884, 102865, 124259, 106307, 47884, 104398, 16995, 45893, 5486, 55723, 28190, 34617, 17620, 16144, 20713, 102944, 119448, 30813, 16556, 121200, 71289, 111201, 110240, 32149, 103468, 22649, 122615, 72516, 16144, 34617, 39135, 89154, 64178, 16449, 16449, 16449, 1811, 45631, 121995, 76947, 115364, 120208, 30512, 21405, 102321, 54926, 102944, 113461, 101832, 125939, 103296, 121995, 15682, 50834, 110706, 103351, 107493, 5486, 120111, 110276, 115204, 21105, 123, 100204, 64121, 19732, 45829, 67645, 32977, 29295, 99750, 101067, 30512, 43032, 103854, 30369, 9174, 100204, 104043, 91774, 30369, 1811, 112361, 13177, 91774, 30369, 10646, 72661, 36896, 112384, 104043, 91774, 30369, 66383, 95604, 100909, 19732, 36896, 101544, 47884, 120766, 39926, 91774, 30369, 66383, 95604, 100909, 77181, 5486, 101171, 111, 125030, 76947, 16144, 110456, 106266, 16144, 105284, 29295, 108010, 30297, 1811, 104195, 16995, 110456, 106266, 107173, 108010, 30297, 5486, 101544, 16995, 110456, 106266, 1811, 101171, 111, 48864, 112919, 122447, 76505, 105298, 15120, 104703, 105514, 15682, 13177, 101171, 111, 15682, 112008, 102800, 19732, 113727, 102204, 100604, 66383, 112844, 1811, 101171, 111, 107809, 16144, 118823, 102756, 105048, 20230, 22023, 18476, 29295, 108044, 116547, 16995, 85791, 16995, 85791, 112415, 54926, 102052, 82973, 29295, 109215, 26854, 105272, 102131, 36785, 1811, 112361, 102944, 30512, 101544, 47884, 91774, 30369, 102677, 104468, 106116, 110456, 106266, 30512, 108321, 103306, 78698, 105262, 82973, 30512, 114392, 20230, 101171, 111, 20230, 58318, 105262, 5486, 102677, 100909, 26854, 105879, 30591, 103950, 9174, 80539, 5486, 91774, 28713, 106592, 114225, 20230, 121995, 20230, 110240, 126660, 16556, 5486, 112690, 16556, 39850, 102494, 54926, 102677, 100909, 16144, 115552, 1811, 121995, 30512, 110240, 47884, 100909, 19732, 5486, 112690, 16556, 21405, 102321, 54926, 102677, 100909, 107118, 5486, 101171, 111, 103306, 16144, 112415, 16144, 67016, 28713, 29295, 108010, 30297, 1811, 91774, 28713, 106592, 114225, 121995, 20230, 110240, 126145, 5486, 110904, 109020, 62543, 21990, 117084, 114732, 105908, 127181, 1811, 101171, 111, 16144, 122502, 50834, 29295, 5486, 30832, 117758, 108134, 19732, 112909, 91875, 123772, 121995, 30512, 110240, 47884, 123120, 30512, 116690, 109669, 105784, 120266, 70141, 32149, 30297, 55031, 103195, 119520, 5486, 91774, 28713, 106592, 112690, 16556, 39850, 102494, 30512, 112990, 108048, 113468, 125641, 71289, 25197, 126989, 29295, 119448, 47884, 102987, 47884, 104735, 101, 33503, 104004, 1811, 123671, 123671, 15682, 104654, 107809, 16556, 5486, 112690, 124905, 76947, 113727, 71289, 125641, 30512, 64531, 22649, 39926, 50834, 100934, 55031, 103195, 9174, 101544, 16995, 110456, 106266, 15682, 125456, 30512, 102987, 109315, 119520, 13177, 112384, 42891, 66383, 95604, 91774, 24273, 77181, 101171, 111, 29295, 122502, 126660, 32149, 102677, 19732, 121906, 111769, 1811, 112384, 104043, 91774, 30369, 102677, 110456, 106266, 16556, 122502, 47884, 122502, 50834, 24273, 32977, 5486, 101171, 111, 102052, 101182, 118855, 5486, 20713, 2845, 113, 32938, 103378, 30512, 100204, 104043, 91774, 101732, 16144, 77181, 91774, 119841, 110745, 112495, 108285, 29295, 31431, 30512, 75694, 104043, 91774, 100934, 55031, 127105, 91774, 105262, 5486, 125261, 54926, 55031, 91774, 105262, 102677, 115789, 101182, 1811, 121410, 9080, 37026, 108436, 101918, 16556, 23039, 47884, 33035, 114731, 47095, 1811, 20713, 2845, 113, 32938, 20713, 2845, 113, 32938, 15682, 15120, 112661, 16556, 121640, 103188, 105557, 100481, 47884, 29295, 106116, 108882, 64121, 30358, 101832, 16556, 91774, 107290, 109749, 102944, 107407, 1811, 122202, 105301, 16144, 104091, 104770, 19732, 124787, 5486, 102185, 16144, 87447, 102185, 19732, 126287, 71289, 9080, 102867, 16144, 116690, 5486, 45893, 23039, 47884, 16325, 106718, 117734, 21990, 16144, 105564, 50834, 24273, 71289, 44309, 99741, 126365, 105262, 77693, 108422, 33121, 16144, 104575, 16144, 64467, 106839, 48634, 31195, 5486, 112185, 112185, 16995, 126910, 72661, 101182, 9174, 101171, 111, 15682, 5486, 110456, 106266, 16144, 58318, 58942, 24273, 16556, 16995, 85791, 16995, 85791, 26854, 112415, 16144, 67016, 28713, 123410, 102677, 100909, 36785, 1811, 20033, 118, 106266, 16144, 58318, 58942, 24273, 19732, 101171, 111, 16144, 122502, 50834, 24273, 3922, 122502, 32149, 72342, 24273, 1811, 102131, 95604, 103984, 28542, 55031, 48864, 108710, 16144, 67016, 28713, 7, 107726, 24273, 121782, 123120, 16144, 67016, 28713, 7, 107726, 24273, 8, 104088, 74245, 39926, 64121, 30369, 102677, 105908, 109215, 111769, 32149, 9174, 14711, 220, 66224, 220, 81191, 113127, 16144, 107141, 101275, 198, 47774, 44597, 27113, 8107, 123628, 107141, 101275, 104873, 112984, 198, 115638, 25963, 44597, 8107, 5486, 29504, 80195, 104378, 121224, 29295, 111717, 31809, 16325, 104575, 104378, 111681, 39607, 104873, 112984, 112028, 108476, 103306, 107141, 101275, 102473, 117824, 100472, 1811, 20713, 82973, 16144, 107141, 101275, 122692, 100927, 104599, 16144, 112415, 5486, 21990, 107263, 16144, 112415, 30512, 101545, 31958, 20230, 114181, 105085, 15024, 61304, 108565, 30512, 19732, 100472, 1811, 100927, 104599, 29295, 104405, 95604, 100927, 103234, 30512, 46239, 15024, 120953, 95604, 122984, 30512, 15024, 5486, 111199, 88631, 102052, 99849, 30512, 102181, 50834, 120953, 95604, 105284, 99397, 126198, 32149, 1811, 104405, 95604, 123120, 30512, 64467, 20379, 56051, 32149, 1811, 21990, 107263, 15682, 112832, 104680, 29295, 112909, 109415, 38144, 106116, 117591, 99849, 114754, 67645, 103171, 106592, 115791, 32149, 109807, 103899, 58942, 30512, 100927, 104599, 15682, 104405, 95604, 105104, 30297, 20230, 64531, 22649, 126198, 32149, 118855, 5486, 100927, 104599, 16144, 64467, 20379, 113115, 39926, 21990, 107263, 15682, 104405, 95604, 123120, 30512, 19732, 31431, 5486, 100927, 104599, 15682, 77693, 113115, 39926, 104405, 64467, 106839, 56051, 32149, 109807, 107420, 64810, 22398, 30512, 101860, 104043, 106596, 109768, 76947, 5486, 48864, 108710, 30832, 105888, 16144, 121697, 32149, 28713, 71289, 107141, 101275, 16144, 77413, 87447, 16144, 67016, 28713, 50667, 122692, 109606, 28542, 30512, 31958, 33503, 111201, 109768, 47884, 5486, 102677, 102473, 126198, 16144, 103195, 9174, 102131, 56051, 106592, 34617, 21909, 46702, 8107, 106307, 107441, 106116, 16325, 16556, 78183, 32149, 121118, 105908, 105693, 1811, 111717, 16144, 67645, 16144, 119208, 16144, 5486, 67645, 16144, 107059, 22398, 121960, 32977, 5486, 44597, 27113, 9039, 107707, 16325, 16556, 114181, 105085, 61304, 108565, 16144, 21405, 117158, 38144, 109749, 104468, 5486, 108064, 32977, 78250, 17792, 39607, 5486, 59739, 109709, 81191, 113127, 16144, 21990, 107263, 20230, 103188, 105557, 100604, 102677, 100909, 103351, 109807, 78250, 107707, 21990, 107263, 15682, 105408, 102083, 85791, 16995, 85791, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 39926, 95543, 106608, 29295, 78183, 117295, 29295, 108149, 110792, 46702, 27113, 116537, 78183, 124403, 9174, 110924, 16556, 115515, 27479, 15682, 108618, 30369, 46702, 27113, 114754, 107141, 101275, 16325, 104405, 107113, 32149, 30512, 104655, 50834, 108167, 104873, 112984, 126198, 110229, 36896, 78183, 107277, 50834, 100472, 100909, 109860, 112909, 109415, 104435, 66383, 95604, 21990, 107263, 32977, 16995, 100604, 113334, 77181, 104435, 29295, 121906, 95604, 104468, 102131, 111338, 58911, 112987, 100604, 66327, 105408, 117119, 119852, 25827, 104865, 26854, 66383, 91763, 103836, 117591, 20230, 116531, 106656, 29295, 103899, 107290, 114604, 1811, 104405, 95604, 100909, 108995, 19732, 113727, 100934, 117591, 20230, 5486, 124944, 121944, 127091, 115791, 66327, 77693, 16556, 104712, 104865, 26854, 66383, 109440, 103836, 117591, 20230, 33671, 102416, 103130, 104127, 114604, 5486, 102677, 105933, 21990, 107263, 29295, 120019, 107991, 118855, 5486, 105408, 29295, 115791, 105908, 78183, 55031, 103470, 38144, 113727, 100934, 117591, 20230, 106116, 105908, 77413, 87447, 39926, 122270, 111108, 106624, 26854, 100472, 1811, 105284, 99397, 56051, 16995, 106046, 106358, 29295, 106116, 107507, 101198, 94550, 30512, 109440, 103836, 117591, 20230, 105408, 16144, 87177, 15682, 122270, 33671, 102416, 103130, 104127, 114604, 102677, 21990, 107263, 32977, 83747, 103470, 100604, 123405, 33121, 57980, 30591, 33121, 57980, 102677, 122756, 46702, 44597, 17620, 56965, 29295, 120195, 38144, 114604, 121906, 95604, 121894, 103351, 102677, 105272, 9174, 59739, 109709, 5486, 108618, 111331, 46702, 27113, 17792, 5486, 66115, 27113, 113127, 16144, 21990, 107263, 105459, 102052, 5486, 48864, 108710, 15682, 116166, 109768, 104435, 1811, 107141, 101275, 16144, 46702, 44597, 17620, 56965, 15682, 5486, 21990, 107263, 126027, 101171, 111, 30512, 122502, 32149, 122101, 124122, 75267, 101983, 107462, 104435, 102677, 100909, 103195, 109900, 55031, 44597, 27113, 8107, 106613, 100472, 37271, 121906, 56051, 127749, 15682, 67645, 33121, 108680, 50338, 104662, 110731, 120900, 32149, 9174, 47774, 118899, 16144, 107141, 101275, 127749, 198, 118899, 120268, 3922, 16325, 3922, 45736, 16144, 20713, 66115, 107707, 100927, 104599, 111848, 82420, 25963, 34617, 107141, 101275, 114447, 101513, 38093, 122291, 1811, 35417, 80195, 29295, 27384, 103268, 103195, 29295, 5486, 105268, 104055, 86127, 80195, 32977, 96412, 17129, 115032, 1811, 70626, 30832, 112987, 101860, 33121, 32977, 22649, 70626, 1811, 16995, 101860, 33121, 32977, 108882, 110993, 112535, 108167, 103214, 126559, 102677, 100927, 104599, 126027, 107141, 101275, 103195, 1811, 118288, 37271, 109606, 101983, 103836, 45829, 67645, 32977, 126027, 22649, 70626, 106627, 33121, 9458, 22649, 70626, 115389, 16995, 50338, 104662, 16144, 45893, 30512, 106767, 30369, 102677, 115552, 55031, 32977, 5486, 102987, 16995, 97518, 64209, 114792, 76947, 107141, 101275, 30512, 114181, 105085, 56051, 9174, 20713, 107059, 117718, 17792, 9039, 15682, 25963, 25963, 21909, 34617, 68093, 17792, 5486, 44597, 27113, 8107, 123628, 46702, 111017, 21909, 60596, 111017, 19732, 107188, 31431, 83747, 123733, 103836, 1811, 120370, 71289, 100927, 103234, 32977, 44597, 27113, 8107, 25580, 107118, 119448, 47884, 124500, 100472, 1811, 67645, 16144, 100927, 102452, 72661, 16027, 102494, 78683, 47307, 71289, 80172, 58322, 115240, 16144, 91774, 110071, 115592, 102540, 16073, 5486, 109713, 70563, 72369, 108337, 29295, 102332, 22324, 116216, 108086, 5486, 16027, 109935, 5486, 109713, 70563, 72369, 108337, 30512, 76706, 11883, 56051, 68408, 76428, 122258, 100927, 103234, 5486, 124773, 123437, 67075, 29295, 76706, 11883, 108608, 101200, 101983, 106358, 1811, 102131, 56051, 117501, 107809, 16556, 77413, 87447, 103646, 107141, 101275, 15682, 104405, 115287, 32149, 9174, 25963, 34617, 107141, 101275, 16144, 117591, 16144, 46702, 118821, 102159, 103283, 107141, 101275, 5486, 44597, 118821, 103350, 111186, 30512, 104356, 114267, 107141, 101275, 30512, 103283, 103306, 5486, 20713, 46702, 29295, 15120, 7741, 231, 107141, 101275, 115287, 1811, 107141, 101275, 77413, 87447, 16144, 106548, 24273, 15682, 15120, 7741, 231, 107141, 101275, 16144, 107803, 5486, 67645, 33121, 32977, 108729, 9554, 102052, 44597, 27113, 8107, 25580, 19732, 124500, 107462 ]
[ 100604, 115397, 78244, 16556, 112844, 105110, 100927, 104599, 36668, 33014, 16144, 107141, 101275, 1811, 100927, 104599, 29295, 100927, 70626, 102181, 71289, 109544, 16144, 44915, 30512, 50338, 108323, 15024, 5486, 21990, 107263, 29295, 77693, 30512, 104655, 47884, 1811, 100927, 104599, 29295, 110018, 67645, 50834, 21990, 107263, 20230, 105284, 99397, 15024, 5486, 113954, 27479, 30512, 105184, 32149, 109315, 1811, 44915, 16144, 24775, 125174, 24775, 125174, 16556, 117119, 124233, 124403, 109335, 100604, 32149, 19732, 21990, 107263, 55031, 105284, 99397, 30512, 32018, 109315, 5486, 102083, 100472, 105104, 30297, 103195, 109807, 117591, 16144, 60596, 107141, 101275, 15682, 21990, 107263, 102159, 104680, 101983, 25827, 33503, 116421, 102756, 105048, 30512, 107726, 28713, 29295, 5486, 108618, 111331, 66224, 118821, 107141, 101275, 15682, 104435, 1811, 102756, 105048, 117824, 100472, 60596, 118821, 107141, 101275, 16144, 117591, 106116, 102756, 105048, 16144, 113702, 30512, 75146, 116446, 77413, 87447, 103646, 102944, 15682, 34617, 59739, 127303, 76947, 108149, 110792, 34617, 59739, 15682, 107141, 101275, 77413, 87447, 16144, 108968, 16325, 16556, 115541, 108710, 109606, 112535, 48154, 47884, 106649, 82973, 23039, 125167, 20230, 120195, 104435, 118855, 5486, 102159, 104680, 16144, 102756, 105048, 16144, 44915, 15682, 5486, 77413, 87447, 16144, 124122, 108321, 19732, 107001, 105908, 43240, 47884, 5486, 21990, 107263, 16144, 107750, 99397, 109853, 102159, 103283, 20230, 64467, 106839, 29295, 26854, 103646, 104468, 20713, 107141, 101275, 20230, 120195, 104435, 9174, 100927, 104599, 19732, 21990, 107263, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 76706, 102404, 120650, 123671, 101732, 107141, 101275, 32977, 105693, 29295, 5486, 114652, 104873, 115694, 64121, 104533, 102404, 78244, 56051, 31431, 105284, 99397, 56051, 31431, 103792, 21990, 107263, 16144, 9039, 29295, 127181, 113334, 111769, 1811, 112361, 21990, 107263, 29295, 99849, 18904, 32977, 102404, 78244, 107113, 31431, 5486, 100927, 104599, 29295, 112361, 21990, 107263, 10110, 105184, 103350, 20230, 95543, 106608, 29295, 104196, 76947, 109749, 21990, 107263, 7705, 30512, 99849, 27479, 32977, 64467, 13372, 56051, 31431, 103792, 102677, 27452, 29295, 43240, 102518, 1811, 64531, 22649, 112990, 108048, 108422, 33121, 16144, 107141, 101275, 16556, 95543, 106608, 10110, 44915, 20230, 92776, 56051, 102944, 20230, 119379, 7705, 56051, 45829, 67645, 32977, 15682, 5486, 102208, 107059, 22398, 25963, 21909, 60596, 3922, 66224, 17792, 1811, 111017, 40862, 20230, 112990, 78250, 21909, 81191, 113127, 1811, 85701, 104088, 28713, 48249, 31431, 77181, 5486, 44597, 27113, 8107, 123470, 110589, 72661, 5486, 21990, 107263, 115303, 31431, 115303, 31431, 102159, 103283, 20230, 48864, 108710, 29295, 116166, 109768, 104533, 112844, 102052, 108680, 110596, 16995, 127749, 103195, 97999, 76771, 223, 29295, 106759, 103306, 20713, 25963, 116358, 122756, 107141, 101275, 74843, 114181, 39926, 105898, 46702, 27113, 89783, 16144, 107141, 101275, 72661, 110371, 127749, 15682, 102717, 19732, 124592, 112361, 105933, 102944, 103351, 1811, 340, 47774, 101171, 111, 30512, 122502, 32149, 122101, 107141, 101275, 102416, 198, 95543, 106608, 9039, 16144, 83747, 26854, 30813, 116749, 105352, 109606, 122291, 115397, 7741, 231, 107141, 101275, 122692, 21990, 107263, 126027, 36668, 28713, 30369, 48864, 108710, 123120, 15682, 5486, 100927, 104599, 16144, 87177, 30512, 104655, 47884, 102677, 101682, 96356, 16144, 123120, 103195, 102677, 100909, 36785, 1811, 101682, 96356, 16144, 123120, 102677, 104468, 5486, 101171, 111, 30512, 108882, 110993, 112535, 122502, 32149, 72342, 100604, 127749, 126694, 30369, 1811, 114516, 16144, 101171, 111, 15682, 5486, 122502, 32149, 72342, 103470, 111243, 57980, 16995, 121894, 116446, 33334, 126145, 114225, 105677, 104127, 114732, 1811, 107141, 101275, 16325, 16144, 104157, 120379, 31431, 102677, 104468, 58426, 115303, 118821, 83799, 103195, 125939, 18904, 114181, 105085, 56051, 16325, 72661, 5486, 44915, 29295, 111108, 106624, 26854, 121118, 16325, 104575, 71689, 16144, 107141, 101275, 77181, 117119, 17792, 102944, 104157, 120379, 31431, 30512, 103792, 21990, 107263, 29295, 91774, 109115, 1811, 16995, 101860, 33121, 32977, 15120, 7741, 231, 107141, 101275, 16144, 107059, 22398, 16556, 5486, 111575, 15682, 34617, 68093, 17792, 16325, 20713, 20713, 17792, 115287, 9174, 53900, 5486, 100927, 58942, 109115, 113702, 30512, 112854, 105262, 102677, 123120, 77181, 5486, 101171, 111, 30512, 108882, 110993, 112535, 122502, 32149, 72342, 100604, 122416, 32149, 5486, 25963, 20713, 126241, 30512, 123726, 30369, 114516, 103306, 16144, 109215, 26854, 106556, 30512, 96356, 107294, 76622, 102204, 100604, 1811, 115364, 120987, 30512, 125174, 87447, 107188, 118145, 105110, 100604, 25963, 20713, 126241, 16144, 114516, 103306, 16144, 106556, 15682, 5486, 105994, 16556, 108134, 30512, 108167, 5486, 106596, 9458, 78698, 105085, 15024, 5486, 125053, 15024, 29172, 81742, 15024, 5486, 103350, 23039, 108608, 121906, 56051, 48634, 16556, 123207, 105110, 100604, 1811, 100927, 104599, 16144, 87177, 30512, 104655, 47884, 102677, 112973, 104356, 16144, 107141, 101275, 77181, 121906, 56051, 48634, 15682, 101662, 38144, 102204, 100604, 1811, 101171, 111, 16144, 48864, 108710, 39850, 71493, 78683, 78525, 91062, 15682, 5486, 106613, 111186, 56051, 106592, 48864, 108710, 54926, 102677, 102944, 109860, 103195, 1811, 59739, 109709, 5486, 105994, 16556, 108134, 30512, 108167, 5486, 106596, 9458, 78698, 105085, 15024, 5486, 125053, 15024, 29172, 81742, 54926, 5486, 80539, 103350, 102923, 39926, 23951, 37656, 54926, 121906, 56051, 103188, 39607, 30512, 101171, 111, 20230, 106613, 111186, 124545, 104466, 107141, 101275, 30512, 113404, 21105, 103, 33334, 17663, 109215, 107407, 102677, 100909, 103195, 9174, 13177, 113702, 30512, 100927, 105262, 104378, 10646, 55031, 13177, 115364, 103892, 16556, 78698, 105262, 48864, 108710, 10646, 20230, 125174, 109913, 107290, 5486, 48864, 48634, 116771, 105110, 101860, 127123, 114300, 106106, 48634, 32977, 102616, 16144, 20251, 103830, 20230, 110408, 15024, 109415, 28713, 106384, 16073, 116670, 16144, 104575, 104378, 119254, 29295, 106116, 106592, 110322, 31958, 103792, 16144, 111769, 32149, 9174, 14711, 220, 60596, 41766, 109, 113529, 55031, 48864, 104369, 123457, 101662, 125655, 198, 45048, 26854, 112371, 109933, 111999, 76428, 113116, 71289, 109832, 67178, 34171, 29295, 101662, 28713, 100604, 104865, 198, 102433, 116537, 5486, 104662, 62004, 109115, 106592, 50834, 43514, 127842, 109134, 104468, 50928, 37689, 109846, 121453, 102800, 102944, 30512, 109832, 67178, 54926, 104468, 107202, 46034, 36785, 102083, 126832, 118855, 5486, 45144, 227, 103350, 109846, 109933, 111999, 76428, 113116, 20230, 18259, 237, 102800, 107173, 117952, 104028, 1811, 109832, 67178, 54926, 48634, 19732, 109933, 111999, 76428, 113116, 5486, 108436, 109033, 23538, 117083, 102433, 16144, 106222, 107809, 16556, 32018, 62004, 125398, 51330, 41920, 118821, 106556, 123085, 77181, 26854, 112371, 101662, 43514, 20230, 47884, 16995, 104865, 9174, 109832, 67178, 54926, 48634, 71289, 109933, 111999, 76428, 113116, 114792, 103836, 114516, 19732, 102131, 16556, 100604, 114516, 19732, 29295, 5486, 21990, 123606, 106272, 20230, 104662, 17129, 103836, 113334, 111769, 1811, 109832, 67178, 54926, 48634, 32977, 5486, 109933, 111999, 76428, 113116, 32977, 5486, 67645, 112384, 32977, 101171, 111, 16144, 18904, 47095, 16144, 26854, 122101, 78183, 75694, 103195, 1811, 109657, 25827, 121441, 55031, 45829, 67645, 32977, 5486, 45829, 67645, 32977, 55031, 119436, 124259, 13153, 101544, 54926, 16325, 16556, 5486, 101171, 111, 30512, 122502, 32149, 72342, 123120, 54926, 106116, 103188, 39607, 16556, 101662, 76947, 109749, 102944, 126529, 103195, 109900, 29295, 101662, 107462, 100604, 102677, 109335, 5486, 109832, 67178, 54926, 123457, 101662, 125655, 124122, 5486, 80539, 109933, 111999, 76428, 113116, 30512, 101662, 125655, 124122, 101171, 111, 16144, 122502, 32149, 72342, 24273, 29295, 127242, 103792, 102677, 100909, 5486, 101171, 111, 30512, 122502, 32149, 122101, 117501, 126694, 76947, 50834, 126386, 102677, 100909, 108176, 9174, 45048, 21388, 113529, 15682, 5486, 109933, 111999, 76428, 113116, 71289, 109832, 67178, 123457, 21990, 64121, 121406, 64121, 26854, 32977, 19732, 198, 101335, 25005, 247, 33710, 116945, 108363, 30512, 19732, 100472, 101828, 101701, 106241, 111398, 98369, 5486, 101129, 16325, 20551, 243, 15120, 98369, 5486, 108363, 16144, 103359, 47523, 119012, 102473, 16144, 50834, 42891, 126929, 110276, 104468, 5486, 55999, 20230, 102473, 16144, 21388, 113529, 55031, 103351, 1811, 17129, 30813, 20230, 13177, 21388, 113529, 15682, 19653, 16144, 103760, 10646, 103351, 16144, 103195, 29295, 5486, 101828, 101701, 117940, 58426, 100909, 109853, 36896, 101335, 25005, 247, 33710, 108363, 30512, 16995, 90620, 47884, 102473, 16144, 50834, 42891, 126929, 110276, 21388, 113529, 103350, 111186, 30512, 5486, 114652, 114181, 105085, 109768, 104435, 105110, 81219, 5486, 110904, 109020, 21388, 113529, 103306, 101161, 105, 31431, 86436, 102204, 90620, 103950, 66383, 102158, 103836, 1811, 21388, 113529, 30512, 88356, 114099, 102669, 16144, 105335, 84477, 19732, 112391, 18655, 30369, 64209, 5486, 21388, 113529, 30512, 114181, 105085, 15024, 106596, 15024, 5486, 110924, 55031, 17039, 28713, 26854, 102944, 30512, 21990, 64121, 121406, 123457, 101662, 125655, 100909, 108048, 29295, 107693, 36785, 102677, 100909, 103195, 9174, 17039, 102800, 106081, 64121, 20230, 21388, 113529, 15682, 59739, 50834, 102944, 103195, 119520, 5486, 21388, 113529, 15682, 30775, 104, 108881, 111769, 109807, 21388, 113529, 107809, 102052, 5486, 118969, 75694, 17129, 26854, 119526, 29295, 112624, 43514, 36117, 95, 115032, 1811, 21388, 113529, 30512, 21388, 113529, 16144, 110674, 20230, 105721, 78183, 117063, 101860, 108048, 30512, 114181, 105085, 15024, 106596, 15024, 5486, 59739, 105557, 111363, 106081, 64121, 16144, 46034, 29295, 107277, 30512, 50928, 30369, 1811, 102131, 56051, 21388, 113529, 55031, 48864, 102802, 18655, 30369, 48634, 5486, 21388, 113529, 30512, 108321, 19732, 15024, 17039, 28713, 26854, 49792, 101908, 123410, 48634, 114792, 59739, 105908, 5486, 114099, 102669, 54926, 76739, 124643, 104603, 11972, 30512, 21990, 64121, 106116, 108882, 64121, 30358, 101832, 29295, 109832, 67178, 48634, 101983, 107462, 126145, 78244, 105262, 108995, 9174, 45048, 13177, 21388, 113529, 107726, 100604, 104378, 10646, 29295, 101662, 38144, 38144, 114604, 102944, 198, 13177, 21388, 113529, 15682, 19653, 16144, 103760, 66383, 95604, 35083, 78244, 15682, 5486, 59795, 77181, 13177, 21388, 113529, 21043, 19653, 55030, 103760, 10646, 5486, 114654, 77181, 13177, 17965, 33992, 2450, 66383, 95604, 120267, 24273, 101983, 103836, 29295, 5486, 21388, 113529, 29295, 116474, 29295, 38144, 19653, 107294, 105722, 30369, 102677, 113727, 24273, 15682, 43240, 119064, 29504, 20230, 55999, 33035, 54926, 113727, 118816, 78244, 58942, 101200, 9174, 80673, 110371, 35083, 78244, 30512, 67645, 33121, 103378, 16144, 102433, 114754, 103350, 99750, 103306, 101682, 76622, 82533, 62004, 100934, 108995, 32149, 1811, 104004, 15024, 85791, 43240, 119064, 102433, 114754, 21388, 113529, 55031, 50928, 28713, 102944, 15682, 5486, 30775, 104, 108881, 99750, 5486, 8239, 96, 50667, 99750, 108995, 1811, 21388, 113529, 54926, 106592, 109755, 33121, 106116, 21388, 113529, 113115, 54926, 43511, 117758, 107624, 95001, 30512, 109755, 104028, 109807, 103846, 121453, 102800, 106081, 64121, 20230, 114099, 102669, 118765, 5486, 111108, 102800, 120266, 114099, 102669, 118765, 5486, 17792, 19732, 108010, 30297, 105908, 118765, 1811, 110924, 102052, 123085, 16144, 104378, 16144, 57903, 24273, 29295, 27384, 119178, 117375, 103792, 104466, 91763, 126832, 9174, 102433, 16144, 104378, 15682, 108729, 112535, 13177, 21388, 113529, 30512, 107726, 100604, 104378, 10646, 103195, 1811, 37656, 102800, 53283, 109375, 71289, 5486, 112113, 30512, 100927, 105262, 104378, 103195, 1811, 37656, 102800, 7, 58426, 39177, 28542, 113245, 8, 113727, 24273, 123334, 31431, 24273, 30512, 100927, 107290, 58426, 19732, 108086, 71289, 117063, 30369, 109807, 113702, 30512, 106081, 111186, 71289, 103350, 83301, 57933, 71634, 16556, 114140, 15024, 5486, 107624, 95001, 54926, 102677, 102944, 103195, 1811, 43240, 119064, 107803, 5486, 110924, 16556, 105721, 78183, 30369, 1811, 100927, 58942, 109115, 19732, 108086, 16144, 113702, 125334, 72342, 104435, 5486, 59739, 109709, 21388, 113529, 56051, 74482, 15682, 5486, 122617, 21990, 107263, 16144, 113160, 49988, 117282, 1811, 48864, 108710, 16144, 75267, 121960, 124563, 112371, 21388, 113529, 56051, 104865, 5486, 115364, 113727, 24273, 71289, 123120, 16144, 67016, 28713, 16144, 116414, 20230, 109606, 122291, 104865, 30512, 106596, 15024, 88356, 114099, 102669, 54926, 5486, 102083, 100472, 109335, 126843, 100604, 9174, 102131, 56051, 104378, 126328, 36896, 21388, 113529, 104023, 109161, 16995, 107624, 95001, 66383, 95604, 113727, 24273, 29295, 101662, 76947, 114732, 1811, 220, 109860, 5486, 21388, 113529, 30512, 104394, 47884, 105933, 109335, 108608, 103378, 111098, 105784, 1811, 113702, 29295, 78183, 124403, 105933, 100909, 102052, 5486, 109933, 111999, 76428, 21105, 103, 16995, 1811, 89783, 82420, 26854, 107750, 99397, 15682, 69978, 28713, 101860, 5486, 109203, 45893, 20230, 77693, 115926, 5486, 105994, 16556, 106081, 23039, 126845, 125144, 56051, 31431, 72342, 101860, 5486, 104328, 28713, 17663, 33503, 100927, 58942, 109115, 19732, 108086, 16144, 106592, 112854, 58942, 5486, 56965, 108010, 124059, 20230, 109134, 120266, 114363, 104611, 54926, 124845, 108048, 29295, 101171, 111, 16144, 108710, 101557, 96, 109904, 122502, 50834, 24273, 101983, 107462, 47884, 9174, 45048, 109215, 26854, 104468, 36896, 21388, 113529, 55031, 48864, 104369, 103188, 39607, 118587, 106613, 111186, 124545, 100909, 198, 13177, 21388, 113529, 55031, 48864, 104369, 48634, 10646, 5486, 80539, 77693, 30512, 74090, 55038, 114267, 109832, 67178, 48634, 71289, 109933, 111999, 76428, 113116, 30512, 104405, 101662, 125655, 32149, 1811, 108936, 20230, 43240, 47884, 23039, 78183, 115032, 104468, 5486, 101828, 101701, 98369, 71289, 101129, 16325, 115867, 105933, 21388, 113529, 55031, 48864, 102802, 19653, 56051, 107707, 33014, 111186, 111813, 30512, 104655, 32149, 122101, 102677, 100909, 103195, 109807, 105908, 16995, 111201, 27384, 102769, 32149, 30512, 87177, 15024, 36896, 29295, 25827, 81219, 33121, 66383, 119680, 33541, 100909, 103195, 1811, 220, 80673, 108048, 16556, 103350, 102321, 54926, 104468, 5486, 21990, 107263, 20230, 13177, 29295, 25827, 81219, 103950, 106046, 110027, 30369, 10646, 103378, 103195, 66327, 91763, 30297, 66383, 95604, 109335, 13177, 108608, 66383, 95604, 100909, 107118, 43514, 29295, 30297, 1811, 21388, 113529, 55031, 48864, 109416, 30297, 106046, 42891, 90620, 76622, 77181, 5486, 21388, 113529, 55031, 48864, 103854, 100604, 16144, 103195, 9174, 21388, 113529, 55031, 48864, 104369, 48634, 116825, 105784, 102052, 36896, 21388, 113529, 55031, 48864 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 100604, 115397, 78244, 16556, 112844, 105110, 100927, 104599, 36668, 33014, 16144, 107141, 101275, 1811, 100927, 104599, 29295, 100927, 70626, 102181, 71289, 109544, 16144, 44915, 30512, 50338, 108323, 15024, 5486, 21990, 107263, 29295, 77693, 30512, 104655, 47884, 1811, 100927, 104599, 29295, 110018, 67645, 50834, 21990, 107263, 20230, 105284, 99397, 15024, 5486, 113954, 27479, 30512, 105184, 32149, 109315, 1811, 44915, 16144, 24775, 125174, 24775, 125174, 16556, 117119, 124233, 124403, 109335, 100604, 32149, 19732, 21990, 107263, 55031, 105284, 99397, 30512, 32018, 109315, 5486, 102083, 100472, 105104, 30297, 103195, 109807, 117591, 16144, 60596, 107141, 101275, 15682, 21990, 107263, 102159, 104680, 101983, 25827, 33503, 116421, 102756, 105048, 30512, 107726, 28713, 29295, 5486, 108618, 111331, 66224, 118821, 107141, 101275, 15682, 104435, 1811, 102756, 105048, 117824, 100472, 60596, 118821, 107141, 101275, 16144, 117591, 106116, 102756, 105048, 16144, 113702, 30512, 75146, 116446, 77413, 87447, 103646, 102944, 15682, 34617, 59739, 127303, 76947, 108149, 110792, 34617, 59739, 15682, 107141, 101275, 77413, 87447, 16144, 108968, 16325, 16556, 115541, 108710, 109606, 112535, 48154, 47884, 106649, 82973, 23039, 125167, 20230, 120195, 104435, 118855, 5486, 102159, 104680, 16144, 102756, 105048, 16144, 44915, 15682, 5486, 77413, 87447, 16144, 124122, 108321, 19732, 107001, 105908, 43240, 47884, 5486, 21990, 107263, 16144, 107750, 99397, 109853, 102159, 103283, 20230, 64467, 106839, 29295, 26854, 103646, 104468, 20713, 107141, 101275, 20230, 120195, 104435, 9174, 100927, 104599, 19732, 21990, 107263, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 76706, 102404, 120650, 123671, 101732, 107141, 101275, 32977, 105693, 29295, 5486, 114652, 104873, 115694, 64121, 104533, 102404, 78244, 56051, 31431, 105284, 99397, 56051, 31431, 103792, 21990, 107263, 16144, 9039, 29295, 127181, 113334, 111769, 1811, 112361, 21990, 107263, 29295, 99849, 18904, 32977, 102404, 78244, 107113, 31431, 5486, 100927, 104599, 29295, 112361, 21990, 107263, 10110, 105184, 103350, 20230, 95543, 106608, 29295, 104196, 76947, 109749, 21990, 107263, 7705, 30512, 99849, 27479, 32977, 64467, 13372, 56051, 31431, 103792, 102677, 27452, 29295, 43240, 102518, 1811, 64531, 22649, 112990, 108048, 108422, 33121, 16144, 107141, 101275, 16556, 95543, 106608, 10110, 44915, 20230, 92776, 56051, 102944, 20230, 119379, 7705, 56051, 45829, 67645, 32977, 15682, 5486, 102208, 107059, 22398, 25963, 21909, 60596, 3922, 66224, 17792, 1811, 111017, 40862, 20230, 112990, 78250, 21909, 81191, 113127, 1811, 85701, 104088, 28713, 48249, 31431, 77181, 5486, 44597, 27113, 8107, 123470, 110589, 72661, 5486, 21990, 107263, 115303, 31431, 115303, 31431, 102159, 103283, 20230, 48864, 108710, 29295, 116166, 109768, 104533, 112844, 102052, 108680, 110596, 16995, 127749, 103195, 97999, 76771, 223, 29295, 106759, 103306, 20713, 25963, 116358, 122756, 107141, 101275, 74843, 114181, 39926, 105898, 46702, 27113, 89783, 16144, 107141, 101275, 72661, 110371, 127749, 15682, 102717, 19732, 124592, 112361, 105933, 102944, 103351, 1811, 340, 47774, 101171, 111, 30512, 122502, 32149, 122101, 107141, 101275, 102416, 198, 95543, 106608, 9039, 16144, 83747, 26854, 30813, 116749, 105352, 109606, 122291, 115397, 7741, 231, 107141, 101275, 122692, 21990, 107263, 126027, 36668, 28713, 30369, 48864, 108710, 123120, 15682, 5486, 100927, 104599, 16144, 87177, 30512, 104655, 47884, 102677, 101682, 96356, 16144, 123120, 103195, 102677, 100909, 36785, 1811, 101682, 96356, 16144, 123120, 102677, 104468, 5486, 101171, 111, 30512, 108882, 110993, 112535, 122502, 32149, 72342, 100604, 127749, 126694, 30369, 1811, 114516, 16144, 101171, 111, 15682, 5486, 122502, 32149, 72342, 103470, 111243, 57980, 16995, 121894, 116446, 33334, 126145, 114225, 105677, 104127, 114732, 1811, 107141, 101275, 16325, 16144, 104157, 120379, 31431, 102677, 104468, 58426, 115303, 118821, 83799, 103195, 125939, 18904, 114181, 105085, 56051, 16325, 72661, 5486, 44915, 29295, 111108, 106624, 26854, 121118, 16325, 104575, 71689, 16144, 107141, 101275, 77181, 117119, 17792, 102944, 104157, 120379, 31431, 30512, 103792, 21990, 107263, 29295, 91774, 109115, 1811, 16995, 101860, 33121, 32977, 15120, 7741, 231, 107141, 101275, 16144, 107059, 22398, 16556, 5486, 111575, 15682, 34617, 68093, 17792, 16325, 20713, 20713, 17792, 115287, 9174, 53900, 5486, 100927, 58942, 109115, 113702, 30512, 112854, 105262, 102677, 123120, 77181, 5486, 101171, 111, 30512, 108882, 110993, 112535, 122502, 32149, 72342, 100604, 122416, 32149, 5486, 25963, 20713, 126241, 30512, 123726, 30369, 114516, 103306, 16144, 109215, 26854, 106556, 30512, 96356, 107294, 76622, 102204, 100604, 1811, 115364, 120987, 30512, 125174, 87447, 107188, 118145, 105110, 100604, 25963, 20713, 126241, 16144, 114516, 103306, 16144, 106556, 15682, 5486, 105994, 16556, 108134, 30512, 108167, 5486, 106596, 9458, 78698, 105085, 15024, 5486, 125053, 15024, 29172, 81742, 15024, 5486, 103350, 23039, 108608, 121906, 56051, 48634, 16556, 123207, 105110, 100604, 1811, 100927, 104599, 16144, 87177, 30512, 104655, 47884, 102677, 112973, 104356, 16144, 107141, 101275, 77181, 121906, 56051, 48634, 15682, 101662, 38144, 102204, 100604, 1811, 101171, 111, 16144, 48864, 108710, 39850, 71493, 78683, 78525, 91062, 15682, 5486, 106613, 111186, 56051, 106592, 48864, 108710, 54926, 102677, 102944, 109860, 103195, 1811, 59739, 109709, 5486, 105994, 16556, 108134, 30512, 108167, 5486, 106596, 9458, 78698, 105085, 15024, 5486, 125053, 15024, 29172, 81742, 54926, 5486, 80539, 103350, 102923, 39926, 23951, 37656, 54926, 121906, 56051, 103188, 39607, 30512, 101171, 111, 20230, 106613, 111186, 124545, 104466, 107141, 101275, 30512, 113404, 21105, 103, 33334, 17663, 109215, 107407, 102677, 100909, 103195, 9174, 13177, 113702, 30512, 100927, 105262, 104378, 10646, 55031, 13177, 115364, 103892, 16556, 78698, 105262, 48864, 108710, 10646, 20230, 125174, 109913, 107290, 5486, 48864, 48634, 116771, 105110, 101860, 127123, 114300, 106106, 48634, 32977, 102616, 16144, 20251, 103830, 20230, 110408, 15024, 109415, 28713, 106384, 16073, 116670, 16144, 104575, 104378, 119254, 29295, 106116, 106592, 110322, 31958, 103792, 16144, 111769, 32149, 9174, 14711, 220, 60596, 41766, 109, 113529, 55031, 48864, 104369, 123457, 101662, 125655, 198, 45048, 26854, 112371, 109933, 111999, 76428, 113116, 71289, 109832, 67178, 34171, 29295, 101662, 28713, 100604, 104865, 198, 102433, 116537, 5486, 104662, 62004, 109115, 106592, 50834, 43514, 127842, 109134, 104468, 50928, 37689, 109846, 121453, 102800, 102944, 30512, 109832, 67178, 54926, 104468, 107202, 46034, 36785, 102083, 126832, 118855, 5486, 45144, 227, 103350, 109846, 109933, 111999, 76428, 113116, 20230, 18259, 237, 102800, 107173, 117952, 104028, 1811, 109832, 67178, 54926, 48634, 19732, 109933, 111999, 76428, 113116, 5486, 108436, 109033, 23538, 117083, 102433, 16144, 106222, 107809, 16556, 32018, 62004, 125398, 51330, 41920, 118821, 106556, 123085, 77181, 26854, 112371, 101662, 43514, 20230, 47884, 16995, 104865, 9174, 109832, 67178, 54926, 48634, 71289, 109933, 111999, 76428, 113116, 114792, 103836, 114516, 19732, 102131, 16556, 100604, 114516, 19732, 29295, 5486, 21990, 123606, 106272, 20230, 104662, 17129, 103836, 113334, 111769, 1811, 109832, 67178, 54926, 48634, 32977, 5486, 109933, 111999, 76428, 113116, 32977, 5486, 67645, 112384, 32977, 101171, 111, 16144, 18904, 47095, 16144, 26854, 122101, 78183, 75694, 103195, 1811, 109657, 25827, 121441, 55031, 45829, 67645, 32977, 5486, 45829, 67645, 32977, 55031, 119436, 124259, 13153, 101544, 54926, 16325, 16556, 5486, 101171, 111, 30512, 122502, 32149, 72342, 123120, 54926, 106116, 103188, 39607, 16556, 101662, 76947, 109749, 102944, 126529, 103195, 109900, 29295, 101662, 107462, 100604, 102677, 109335, 5486, 109832, 67178, 54926, 123457, 101662, 125655, 124122, 5486, 80539, 109933, 111999, 76428, 113116, 30512, 101662, 125655, 124122, 101171, 111, 16144, 122502, 32149, 72342, 24273, 29295, 127242, 103792, 102677, 100909, 5486, 101171, 111, 30512, 122502, 32149, 122101, 117501, 126694, 76947, 50834, 126386, 102677, 100909, 108176, 9174, 45048, 21388, 113529, 15682, 5486, 109933, 111999, 76428, 113116, 71289, 109832, 67178, 123457, 21990, 64121, 121406, 64121, 26854, 32977, 19732, 198, 101335, 25005, 247, 33710, 116945, 108363, 30512, 19732, 100472, 101828, 101701, 106241, 111398, 98369, 5486, 101129, 16325, 20551, 243, 15120, 98369, 5486, 108363, 16144, 103359, 47523, 119012, 102473, 16144, 50834, 42891, 126929, 110276, 104468, 5486, 55999, 20230, 102473, 16144, 21388, 113529, 55031, 103351, 1811, 17129, 30813, 20230, 13177, 21388, 113529, 15682, 19653, 16144, 103760, 10646, 103351, 16144, 103195, 29295, 5486, 101828, 101701, 117940, 58426, 100909, 109853, 36896, 101335, 25005, 247, 33710, 108363, 30512, 16995, 90620, 47884, 102473, 16144, 50834, 42891, 126929, 110276, 21388, 113529, 103350, 111186, 30512, 5486, 114652, 114181, 105085, 109768, 104435, 105110, 81219, 5486, 110904, 109020, 21388, 113529, 103306, 101161, 105, 31431, 86436, 102204, 90620, 103950, 66383, 102158, 103836, 1811, 21388, 113529, 30512, 88356, 114099, 102669, 16144, 105335, 84477, 19732, 112391, 18655, 30369, 64209, 5486, 21388, 113529, 30512, 114181, 105085, 15024, 106596, 15024, 5486, 110924, 55031, 17039, 28713, 26854, 102944, 30512, 21990, 64121, 121406, 123457, 101662, 125655, 100909, 108048, 29295, 107693, 36785, 102677, 100909, 103195, 9174, 17039, 102800, 106081, 64121, 20230, 21388, 113529, 15682, 59739, 50834, 102944, 103195, 119520, 5486, 21388, 113529, 15682, 30775, 104, 108881, 111769, 109807, 21388, 113529, 107809, 102052, 5486, 118969, 75694, 17129, 26854, 119526, 29295, 112624, 43514, 36117, 95, 115032, 1811, 21388, 113529, 30512, 21388, 113529, 16144, 110674, 20230, 105721, 78183, 117063, 101860, 108048, 30512, 114181, 105085, 15024, 106596, 15024, 5486, 59739, 105557, 111363, 106081, 64121, 16144, 46034, 29295, 107277, 30512, 50928, 30369, 1811, 102131, 56051, 21388, 113529, 55031, 48864, 102802, 18655, 30369, 48634, 5486, 21388, 113529, 30512, 108321, 19732, 15024, 17039, 28713, 26854, 49792, 101908, 123410, 48634, 114792, 59739, 105908, 5486, 114099, 102669, 54926, 76739, 124643, 104603, 11972, 30512, 21990, 64121, 106116, 108882, 64121, 30358, 101832, 29295, 109832, 67178, 48634, 101983, 107462, 126145, 78244, 105262, 108995, 9174, 45048, 13177, 21388, 113529, 107726, 100604, 104378, 10646, 29295, 101662, 38144, 38144, 114604, 102944, 198, 13177, 21388, 113529, 15682, 19653, 16144, 103760, 66383, 95604, 35083, 78244, 15682, 5486, 59795, 77181, 13177, 21388, 113529, 21043, 19653, 55030, 103760, 10646, 5486, 114654, 77181, 13177, 17965, 33992, 2450, 66383, 95604, 120267, 24273, 101983, 103836, 29295, 5486, 21388, 113529, 29295, 116474, 29295, 38144, 19653, 107294, 105722, 30369, 102677, 113727, 24273, 15682, 43240, 119064, 29504, 20230, 55999, 33035, 54926, 113727, 118816, 78244, 58942, 101200, 9174, 80673, 110371, 35083, 78244, 30512, 67645, 33121, 103378, 16144, 102433, 114754, 103350, 99750, 103306, 101682, 76622, 82533, 62004, 100934, 108995, 32149, 1811, 104004, 15024, 85791, 43240, 119064, 102433, 114754, 21388, 113529, 55031, 50928, 28713, 102944, 15682, 5486, 30775, 104, 108881, 99750, 5486, 8239, 96, 50667, 99750, 108995, 1811, 21388, 113529, 54926, 106592, 109755, 33121, 106116, 21388, 113529, 113115, 54926, 43511, 117758, 107624, 95001, 30512, 109755, 104028, 109807, 103846, 121453, 102800, 106081, 64121, 20230, 114099, 102669, 118765, 5486, 111108, 102800, 120266, 114099, 102669, 118765, 5486, 17792, 19732, 108010, 30297, 105908, 118765, 1811, 110924, 102052, 123085, 16144, 104378, 16144, 57903, 24273, 29295, 27384, 119178, 117375, 103792, 104466, 91763, 126832, 9174, 102433, 16144, 104378, 15682, 108729, 112535, 13177, 21388, 113529, 30512, 107726, 100604, 104378, 10646, 103195, 1811, 37656, 102800, 53283, 109375, 71289, 5486, 112113, 30512, 100927, 105262, 104378, 103195, 1811, 37656, 102800, 7, 58426, 39177, 28542, 113245, 8, 113727, 24273, 123334, 31431, 24273, 30512, 100927, 107290, 58426, 19732, 108086, 71289, 117063, 30369, 109807, 113702, 30512, 106081, 111186, 71289, 103350, 83301, 57933, 71634, 16556, 114140, 15024, 5486, 107624, 95001, 54926, 102677, 102944, 103195, 1811, 43240, 119064, 107803, 5486, 110924, 16556, 105721, 78183, 30369, 1811, 100927, 58942, 109115, 19732, 108086, 16144, 113702, 125334, 72342, 104435, 5486, 59739, 109709, 21388, 113529, 56051, 74482, 15682, 5486, 122617, 21990, 107263, 16144, 113160, 49988, 117282, 1811, 48864, 108710, 16144, 75267, 121960, 124563, 112371, 21388, 113529, 56051, 104865, 5486, 115364, 113727, 24273, 71289, 123120, 16144, 67016, 28713, 16144, 116414, 20230, 109606, 122291, 104865, 30512, 106596, 15024, 88356, 114099, 102669, 54926, 5486, 102083, 100472, 109335, 126843, 100604, 9174, 102131, 56051, 104378, 126328, 36896, 21388, 113529, 104023, 109161, 16995, 107624, 95001, 66383, 95604, 113727, 24273, 29295, 101662, 76947, 114732, 1811, 220, 109860, 5486, 21388, 113529, 30512, 104394, 47884, 105933, 109335, 108608, 103378, 111098, 105784, 1811, 113702, 29295, 78183, 124403, 105933, 100909, 102052, 5486, 109933, 111999, 76428, 21105, 103, 16995, 1811, 89783, 82420, 26854, 107750, 99397, 15682, 69978, 28713, 101860, 5486, 109203, 45893, 20230, 77693, 115926, 5486, 105994, 16556, 106081, 23039, 126845, 125144, 56051, 31431, 72342, 101860, 5486, 104328, 28713, 17663, 33503, 100927, 58942, 109115, 19732, 108086, 16144, 106592, 112854, 58942, 5486, 56965, 108010, 124059, 20230, 109134, 120266, 114363, 104611, 54926, 124845, 108048, 29295, 101171, 111, 16144, 108710, 101557, 96, 109904, 122502, 50834, 24273, 101983, 107462, 47884, 9174, 45048, 109215, 26854, 104468, 36896, 21388, 113529, 55031, 48864, 104369, 103188, 39607, 118587, 106613, 111186, 124545, 100909, 198, 13177, 21388, 113529, 55031, 48864, 104369, 48634, 10646, 5486, 80539, 77693, 30512, 74090, 55038, 114267, 109832, 67178, 48634, 71289, 109933, 111999, 76428, 113116, 30512, 104405, 101662, 125655, 32149, 1811, 108936, 20230, 43240, 47884, 23039, 78183, 115032, 104468, 5486, 101828, 101701, 98369, 71289, 101129, 16325, 115867, 105933, 21388, 113529, 55031, 48864, 102802, 19653, 56051, 107707, 33014, 111186, 111813, 30512, 104655, 32149, 122101, 102677, 100909, 103195, 109807, 105908, 16995, 111201, 27384, 102769, 32149, 30512, 87177, 15024, 36896, 29295, 25827, 81219, 33121, 66383, 119680, 33541, 100909, 103195, 1811, 220, 80673, 108048, 16556, 103350, 102321, 54926, 104468, 5486, 21990, 107263, 20230, 13177, 29295, 25827, 81219, 103950, 106046, 110027, 30369, 10646, 103378, 103195, 66327, 91763, 30297, 66383, 95604, 109335, 13177, 108608, 66383, 95604, 100909, 107118, 43514, 29295, 30297, 1811, 21388, 113529, 55031, 48864, 109416, 30297, 106046, 42891, 90620, 76622, 77181, 5486, 21388, 113529, 55031, 48864, 103854, 100604, 16144, 103195, 9174, 21388, 113529, 55031, 48864, 104369, 48634, 116825, 105784, 102052, 36896, 21388, 113529, 55031, 48864 ]
[ 104369, 66383, 95604, 123120, 30512, 116166, 124545, 101171, 111, 16144, 18904, 47095, 126694, 33503, 123207, 105110, 100604, 1811, 123120, 30512, 116166, 124545, 124122, 18904, 47095, 15682, 106116, 106664, 91875, 123410, 100909, 113468, 103082, 100481, 47884, 109807, 123120, 123410, 110018, 20230, 101171, 111, 29295, 122502, 50834, 5486, 101365, 106613, 18904, 47095, 20230, 22023, 18476, 29295, 108044, 78183, 30369, 100909, 113468, 106116, 123120, 30512, 116166, 124545, 124122, 101365, 106613, 18904, 47095, 16144, 118823, 102756, 105048, 29295, 103082, 100481, 47884, 1811, 123120, 29295, 103721, 108, 31431, 104196, 107001, 108680, 22023, 18476, 16144, 23039, 50834, 37507, 29295, 22398, 91062, 106240, 115717, 5486, 21105, 96, 107277, 114267, 118823, 102756, 105048, 103306, 116166, 54926, 9174, 59739, 109709, 109215, 26854, 104468, 5486, 21388, 113529, 30512, 114181, 105085, 9458, 106596, 15024, 5486, 21388, 113529, 30512, 23951, 37656, 54926, 106592, 106613, 111186, 124545, 95604, 100909, 103195, 1811, 21388, 113529, 16144, 113385, 30512, 106767, 102012, 15024, 5486, 109606, 28542, 30512, 23951, 37656, 15024, 5486, 83747, 21105, 248, 59739, 30832, 105888, 20230, 60358, 109669, 16995, 100481, 47884, 103188, 39607, 16144, 28190, 101828, 30813, 5486, 80539, 19653, 16144, 104940, 102802, 30512, 106613, 111186, 124545, 124845, 5486, 21388, 113529, 15682, 105994, 30512, 13153, 101544, 124545, 100853, 100, 108176, 106592, 103350, 99750, 124545, 109807, 103350, 99750, 29295, 5486, 21388, 113529, 55031, 48864, 104369, 110783, 110095, 116825, 47884, 31431, 109933, 111999, 76428, 113116, 30512, 101662, 125655, 105879, 57903, 5486, 114181, 105085, 58246, 106596, 9458, 23951, 37656, 16144, 108882, 64121, 30358, 101832, 29295, 109832, 67178, 123457, 101662, 38144, 100481, 119064, 103195, 9174, 45048, 101662, 125655, 125231, 102944, 15682, 127091, 198, 104378, 77181, 122617, 16144, 109335, 100927, 58942, 102204, 100604, 118844, 55031, 61826, 16144, 109335, 100927, 58942, 102204, 100604, 1811, 103195, 105110, 5486, 39442, 53283, 16144, 102944, 20230, 109933, 111999, 76428, 15024, 5486, 21388, 113529, 55031, 48864, 104369, 110783, 110095, 19732, 48634, 114792, 100472, 106767, 102012, 25287, 16144, 101171, 111, 5486, 115289, 122279, 16556, 37689, 111654, 109904, 101171, 111, 30512, 101662, 125655, 106592, 30832, 105888, 19732, 21105, 103, 118145, 105110, 100604, 9174, 118899, 123085, 77181, 48864, 48634, 103167, 17297, 29295, 109606, 115717, 5486, 53283, 109375, 30358, 103984, 16144, 112169, 125334, 38144, 50834, 100934, 29295, 5486, 117475, 16144, 115552, 16144, 48864, 48634, 107118, 99849, 103195, 32149, 15682, 5486, 113702, 103306, 16144, 53283, 109375, 126194, 5486, 101171, 111, 16144, 122502, 50834, 24273, 30512, 74090, 55038, 116446, 78698, 105262, 125231, 111769, 32149, 9174, 14711, 220, 44597, 116325, 20379, 19732, 64467, 106839, 34363, 16995, 111201, 120007, 16144, 101171, 111, 30512, 122502, 32149, 122101, 32149, 220, 58426, 25963, 198, 20713, 8107, 123090, 67645, 112384, 16144, 74482, 101477, 102, 29295, 13153, 101544, 103792, 32149, 15682, 5486, 112844, 17129, 72661, 100604, 100909, 108995, 9174, 11144, 30926, 27452, 20713, 112479, 116531, 116056, 77219, 125743, 26854, 30591, 9174, 124944, 108072, 25197, 9174, 116531, 43444, 117039, 30512, 20379, 15024, 7705, 85701, 120572, 1811, 114387, 16144, 67016, 104435, 104865, 95532, 124944, 116422, 107188, 32149, 5486, 104712, 112973, 103470, 38144, 89505, 58246, 198, 116531, 33281, 104, 48634, 100604, 102189, 57980, 26854, 1811, 125821, 91875, 50834, 107407, 102944, 105693, 103950, 9174, 124944, 43444, 61075, 119707, 21105, 240, 30369, 23954, 116531, 107090, 223, 76947, 37507, 16995, 57980, 1811, 117039, 16144, 104774, 106696, 120572, 9174, 124944, 108072, 25197, 106609, 116531, 43444, 124944, 29295, 69978, 121118, 104774, 106696, 30512, 106767, 39926, 23954, 85701, 122543, 1811, 119448, 47884, 123307, 102532, 51330, 105494, 103378, 33655, 58942, 9174, 116531, 220, 77693, 55031, 5486, 110382, 26854, 1811, 21405, 102321, 29295, 126843, 16995, 102189, 57980, 9174, 78244, 102334, 16995, 105908, 109416, 71289, 107441, 30369, 108422, 1811, 102181, 50834, 74245, 15024, 102083, 28713, 55031, 26854, 9174, 116531, 113170, 107118, 17129, 30591, 104712, 108995, 1811, 117039, 103082, 127567, 5486, 114225, 104371, 114601, 20230, 17129, 110027, 57980, 9174, 11144, 30926, 27452, 25963, 112479, 116531, 116422, 107188, 32149, 104712, 106084, 120572, 9174, 124944, 104523, 40265, 112130, 95532, 116531, 220, 78250, 27113, 28542, 112624, 28542, 107118, 23039, 126660, 107493, 26854, 9174, 25963, 2845, 113, 32938, 122416, 95221, 101983, 104533, 107404, 107407, 102189, 9174, 124944, 108072, 25197, 5486, 116414, 112130, 95532, 116531, 125606, 101860, 110371, 117039, 36785, 1811, 125821, 91875, 50834, 29295, 102717, 102800, 106046, 78183, 100604, 32149, 95532, 124944, 108072, 25197, 121906, 91763, 100472, 116233, 29295, 124563, 107188, 32149, 104712, 112973, 43568, 47884, 38144, 9174, 116531, 220, 20713, 109577, 30512, 58426, 110674, 33655, 78183, 103470, 111243, 104712, 102189, 108422, 9174, 104712, 105494, 30512, 26955, 94, 27384, 39926, 33655, 30297, 110162, 5486, 25963, 109577, 103214, 64121, 114146, 111243, 104712, 102189, 9174, 77693, 72661, 43568, 118544, 95532, 124944, 69839, 247, 89151, 69978, 76947, 50834, 33541, 9174, 85701, 104405, 112130, 11571, 220, 110382, 30512, 26955, 94, 27384, 54926, 102677, 16144, 77181, 89505, 58246, 198, 116531, 220, 126699, 5486, 104712, 110034, 32149, 1811, 104446, 30591, 115847, 15682, 57980, 15024, 114318, 9174, 116531, 121655, 30297, 115303, 59739, 15682, 5486, 22957, 51330, 21405, 102321, 36785, 1811, 114715, 104371, 47523, 29295, 112294, 16995, 26854, 9174, 102971, 105242, 30512, 61826, 20230, 69978, 76947, 50834, 38144, 5486, 112690, 32977, 114715, 104195, 16995, 104873, 45829, 117657, 9174, 82973, 119703, 55031, 5486, 110480, 87217, 30512, 125639, 109913, 105262, 113314, 16556, 125338, 120700, 9174, 44416, 48249, 82973, 78250, 17620, 36785, 9174, 7, 78250, 17620, 74482, 8, 85701, 16556, 104405, 123253, 32149, 9174, 116531, 18049, 230, 11972, 15024, 5486, 17129, 30591, 104712, 108995, 118844, 16556, 104662, 109709, 36785, 9174, 117039, 26955, 94, 27384, 127564, 5486, 114225, 104371, 114601, 120332, 20230, 18904, 39926, 120700, 9174, 116531, 106369, 25580, 5486, 104712, 64810, 107446, 127662, 108422, 1811, 59739, 105557, 32977, 80988, 239, 105714, 33121, 57980, 9174, 14711, 220, 46702, 116325, 20379, 19732, 64467, 106839, 34363, 16995, 111201, 120007, 16144, 101171, 111, 30512, 122502, 32149, 122101, 32149, 220, 58426, 20713, 198, 10, 20713, 101860, 59739, 72661, 121410, 9080, 28713, 109768, 76622, 81219, 5486, 20713, 8107, 28713, 59739, 19732, 121409, 34617, 60596, 44597, 108176, 119520, 5486, 27113, 105110, 81219, 5486, 20713, 8107, 28713, 114598, 27113, 16144, 110674, 103195, 1811, 116900, 20230, 34363, 20713, 105110, 81219, 5486, 20713, 8107, 74482, 102052, 34363, 34617, 60596, 44597, 115717, 5486, 10, 20713, 101860, 118821, 107803, 107118, 66224, 34617, 27113, 102944, 104364, 29295, 59739, 102532, 114732, 1811, 110834, 119064, 116537, 17792, 21990, 107809, 16556, 108048, 108422, 33121, 99849, 33503, 116421, 83799, 16556, 64467, 106839, 9554, 80195, 75267, 20230, 28713, 59739, 1811, 61826, 101477, 102, 103306, 74482, 101477, 102, 20230, 5486, 17905, 65743, 103306, 34048, 17297, 20230, 5486, 106759, 103306, 45829, 20230, 5486, 80539, 100927, 104599, 103306, 48864, 108710, 30046, 20230, 5486, 123120, 16144, 67016, 28713, 3922, 117876, 16144, 67016, 28713, 3922, 53508, 231, 104195, 16144, 67016, 28713, 30512, 16995, 85791, 16995, 85791, 19732, 64467, 106839, 54926, 1811, 120007, 113115, 39926, 121410, 9080, 121410, 9080, 108882, 64121, 30358, 101832, 100481, 47884, 58426, 64467, 106839, 15682, 5486, 28873, 28713, 39926, 50021, 112909, 13153, 101544, 124545, 121409, 20713, 16144, 64467, 106839, 101983, 103836, 108995, 32149, 9174, 50021, 112909, 13153, 101544, 124545, 13177, 121409, 20713, 117503, 64467, 106839, 117282, 32149, 5486, 110904, 109020, 13177, 64467, 20379, 10646, 125030, 67645, 115464, 32149, 5486, 116900, 20230, 13177, 13153, 101544, 16144, 100525, 101, 102639, 66383, 109020, 32149, 106116, 120098, 15682, 5486, 120007, 113115, 54926, 122502, 50834, 126929, 29295, 116898, 111201, 120007, 16144, 101171, 111, 30512, 122502, 32149, 122101, 105933, 123120, 101983, 103836, 32149, 102677, 110229, 117083, 109900, 15682, 115408, 126027, 101171, 111, 16144, 48864, 108710, 16144, 67016, 28713, 29295, 13177, 123120, 56051, 106592, 48864, 108710, 54926, 10646, 220, 102677, 100909, 109860, 103195, 9174, 86127, 126027, 101171, 111, 15682, 5486, 123120, 56051, 110018, 20230, 122502, 102334, 101171, 111, 16144, 122502, 50834, 24273, 10110, 101365, 106613, 18904, 47095, 111363, 22023, 18476, 16144, 108044, 116547, 24273, 7705, 30512, 5486, 123120, 16144, 67016, 28713, 16144, 61304, 125534, 103306, 105623, 226, 108882, 109768, 47884, 101200, 101983, 103836, 1811, 105864, 230, 70203, 54926, 106556, 15682, 5486, 122282, 123120, 123410, 100909, 113468, 96356, 107294, 47884, 105879, 57903, 5486, 122282, 29430, 19732, 58426, 113702, 30512, 90620, 112854, 58942, 90620, 76622, 77181, 5486, 122282, 15682, 108608, 101200, 102052, 105110, 100604, 1811, 100927, 104599, 29295, 71289, 31431, 24273, 16144, 123604, 30512, 20379, 15024, 108048, 101983, 33503, 76947, 122282, 15024, 106116, 113702, 30512, 37656, 102800, 102944, 19732, 125261, 15024, 5486, 17129, 43514, 29295, 107462, 104984, 115364, 123120, 30512, 23951, 37656, 54926, 1811, 86127, 105459, 29295, 37271, 5486, 118969, 75694, 17129, 26854, 122282, 29295, 108608, 102677, 104468, 121906, 56051, 106592, 108882, 64121, 30358, 101832, 38144, 105898, 55031, 126529, 103195, 1811, 220, 59739, 109709, 5486, 120007, 20230, 101662, 125655, 125231, 123120, 30512, 108608, 104466, 39926, 109134, 102052, 106116, 123120, 30512, 116166, 124545, 124122, 101171, 111, 16144, 122502, 50834, 24273, 30512, 106613, 111186, 107726, 38144, 71289, 33503, 123207, 105110, 100604, 102677, 100909, 103195, 1811, 64467, 106839, 9554, 80195, 75267, 117083, 102944, 102052, 5486, 108895, 56051, 101171, 111, 123120, 48864, 20230, 75146, 109669, 47884, 103984, 28542, 114792, 59739, 105908, 110745, 104721, 107693, 26854, 111681, 104482, 103195, 102083, 58942, 101200, 1811, 101662, 125655, 125231, 120007, 16144, 13153, 101544, 30512, 119448, 47884, 118396, 54926, 100909, 108176, 55031, 103195, 1811, 114207, 30591, 112568, 15682, 108149, 112568, 29295, 101662, 125655, 125231, 120007, 16144, 101171, 111, 30512, 122502, 32149, 72342, 100934, 32149, 9174, 10634, 120, 101662, 125655, 125231, 120007, 20230, 5486, 30832, 105888, 71289, 22649, 104611, 122416, 102158, 107462, 100604, 32149, 9174, 10634, 120, 78698, 107800, 31431, 104662, 64889, 103792, 123120, 56051, 104468, 108149, 26854, 90620, 76622, 101983, 107462, 100604, 32149, 9174, 10634, 120, 78183, 107277, 20230, 47884, 16995, 64467, 20379, 16556, 50021, 112909, 107960, 108267, 107726, 115926, 5486, 105856, 106053, 19732, 5877, 109, 113160, 122416, 16556, 109134, 95221, 30512, 21388, 110027, 126386, 32149, 9174, 10634, 120, 58426, 123120, 30512, 116166, 124545, 124122, 101171, 111, 16144, 122502, 32149, 72342, 24273, 30512, 5486, 108056, 19732, 106613, 111186, 107726, 100934, 108995, 32149, 9174, 14711, 220, 34617, 121238, 64178, 15682, 25963, 34617, 97049, 16556, 120111, 108176, 198, 56040, 13177, 115389, 16995, 10646, 29295, 120111, 108176, 39850, 71493, 78683, 78525, 91062, 56040, 220, 81191, 27113, 60596, 8107, 105140, 5486, 58291, 30369, 91482, 64178, 108695, 29295, 5486, 91482, 64178, 30512, 13177, 30297, 17129, 16995, 66383, 112391, 30369, 101200, 110276, 8107, 106036, 95, 15682, 99849, 97049, 32149, 5486, 102677, 104873, 112984, 30512, 103350, 102923, 56051, 1811, 25963, 34617, 97049, 108048, 29295, 104873, 112984, 20230, 106608, 100204, 28713, 20713, 32307, 9039, 103633, 107707, 115274, 16144, 112603, 103195, 9174, 91482, 64178, 15682, 107202, 103868, 16144, 101182, 115320, 42506, 103195, 1811, 45114, 102, 165, 73609, 112028, 109247, 30512, 126407, 104004, 101908, 19732, 86127, 20230, 107571, 7, 25963, 20713, 97049, 8, 71289, 23018, 45829, 7, 20713, 66115, 97049, 8, 15682, 13177, 114387, 107202, 16995, 102944, 5486, 116414, 119279, 16995, 102800, 16144, 91006, 19732, 104655, 47884, 1811, 112185, 107202, 103868, 30512, 13177, 30297, 17129, 16995, 66383, 112391, 30369, 103868, 112854, 114792, 107462, 100604, 105272, 1811, 114516, 15682, 21990, 17129, 106824, 114225, 16144, 38574, 106090, 77181, 5486, 110631, 16995, 103868, 67016, 33334, 16995, 102800, 107118, 112391, 100604, 1811, 109657, 25827, 121441, 16144, 40526, 20230, 59657, 102, 103868, 71289, 115200, 103868, 5486, 107202, 103868, 5486, 108602, 103868, 16144, 101182, 102944, 30512, 17701, 104028, 19732, 5486, 124402, 16556, 110408, 15024, 20834, 39926, 114732, 1811, 110631, 64121, 116749, 16144, 103868, 126130, 16995, 102800, 19732, 112391, 30369, 99750, 112854, 15682, 5486, 122617, 5486, 21990, 17129, 106824, 23897, 123470, 102456, 104654, 107809, 16556, 122635, 109768, 119064, 103195, 9174, 17039, 102800, 103868, 112854, 16144, 122635, 102052, 5486, 82973, 29295, 32149, 117295, 1811, 21990, 74482, 34617, 56040, 19, 113746, 16556, 27704, 109315, 106627, 111528, 102456, 5486, 122279, 33503, 121867, 102944, 55031, 110567, 16995, 102944, 117657, 122416, 16556, 103470, 5486, 116213, 103868, 55031, 36785, 102189, 127842, 127919, 16995, 103868, 20230, 21105, 103, 29295, 33503, 5486, 59657, 102, 103868, 3922, 110631, 115200, 103868, 3922, 108602, 103868, 104309, 39135, 104680, 26854, 103868, 20230, 101557, 96, 33121, 107726, 100481, 47884, 1811, 102131, 39926, 5486, 113261, 116581, 5486, 45829, 67645, 102944, 103188, 39607, 30512, 106613, 38144, 119436, 19732, 112361, 102944, 30512, 125764, 110071, 101200, 108176, 16144, 102052, 95598, 9039, 8107, 32149, 117295, 107030, 29295, 46729, 77181, 17297, 117255, 29295, 16325, 106718, 108176, 103296, 110745, 17792, 11883, 71493, 110494, 19732, 45829, 67645, 32977, 11883, 71493, 110494, 16144, 17, 104091, 104770, 126694, 106358, 1811, 117434, 103868, 16144, 21990, 21589, 250, 71289, 58911, 101161, 113, 5486, 115200, 45829, 30512, 119436, 19732, 112361, 104466, 102456, 17663, 101200, 110276, 104468, 121270, 48864, 124305, 101275, 16144, 119400, 103351, 9174, 35894, 113351, 16144, 121894, 126694, 31431, 5486, 120175, 100815, 102334, 127749, 16556, 43568, 22649, 30512, 107726, 101860, 5486, 103721, 108, 31431, 104196, 15024, 102831, 95221, 114652, 101557, 96, 33503, 109768, 47884, 109807, 108882, 64121, 30358, 101832, 16556, 116898, 85791, 16995, 85791, 26854, 102944, 29295, 125764, 110071, 101200, 101983, 107462, 47884, 119520, 17792, 74843, 5486, 70563, 34363, 111817, 119775, 106063, 66378, 16144, 104195, 16995, 102765, 31431, 71289, 103868, 114792, 59739, 102944, 30512, 115389 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 104369, 66383, 95604, 123120, 30512, 116166, 124545, 101171, 111, 16144, 18904, 47095, 126694, 33503, 123207, 105110, 100604, 1811, 123120, 30512, 116166, 124545, 124122, 18904, 47095, 15682, 106116, 106664, 91875, 123410, 100909, 113468, 103082, 100481, 47884, 109807, 123120, 123410, 110018, 20230, 101171, 111, 29295, 122502, 50834, 5486, 101365, 106613, 18904, 47095, 20230, 22023, 18476, 29295, 108044, 78183, 30369, 100909, 113468, 106116, 123120, 30512, 116166, 124545, 124122, 101365, 106613, 18904, 47095, 16144, 118823, 102756, 105048, 29295, 103082, 100481, 47884, 1811, 123120, 29295, 103721, 108, 31431, 104196, 107001, 108680, 22023, 18476, 16144, 23039, 50834, 37507, 29295, 22398, 91062, 106240, 115717, 5486, 21105, 96, 107277, 114267, 118823, 102756, 105048, 103306, 116166, 54926, 9174, 59739, 109709, 109215, 26854, 104468, 5486, 21388, 113529, 30512, 114181, 105085, 9458, 106596, 15024, 5486, 21388, 113529, 30512, 23951, 37656, 54926, 106592, 106613, 111186, 124545, 95604, 100909, 103195, 1811, 21388, 113529, 16144, 113385, 30512, 106767, 102012, 15024, 5486, 109606, 28542, 30512, 23951, 37656, 15024, 5486, 83747, 21105, 248, 59739, 30832, 105888, 20230, 60358, 109669, 16995, 100481, 47884, 103188, 39607, 16144, 28190, 101828, 30813, 5486, 80539, 19653, 16144, 104940, 102802, 30512, 106613, 111186, 124545, 124845, 5486, 21388, 113529, 15682, 105994, 30512, 13153, 101544, 124545, 100853, 100, 108176, 106592, 103350, 99750, 124545, 109807, 103350, 99750, 29295, 5486, 21388, 113529, 55031, 48864, 104369, 110783, 110095, 116825, 47884, 31431, 109933, 111999, 76428, 113116, 30512, 101662, 125655, 105879, 57903, 5486, 114181, 105085, 58246, 106596, 9458, 23951, 37656, 16144, 108882, 64121, 30358, 101832, 29295, 109832, 67178, 123457, 101662, 38144, 100481, 119064, 103195, 9174, 45048, 101662, 125655, 125231, 102944, 15682, 127091, 198, 104378, 77181, 122617, 16144, 109335, 100927, 58942, 102204, 100604, 118844, 55031, 61826, 16144, 109335, 100927, 58942, 102204, 100604, 1811, 103195, 105110, 5486, 39442, 53283, 16144, 102944, 20230, 109933, 111999, 76428, 15024, 5486, 21388, 113529, 55031, 48864, 104369, 110783, 110095, 19732, 48634, 114792, 100472, 106767, 102012, 25287, 16144, 101171, 111, 5486, 115289, 122279, 16556, 37689, 111654, 109904, 101171, 111, 30512, 101662, 125655, 106592, 30832, 105888, 19732, 21105, 103, 118145, 105110, 100604, 9174, 118899, 123085, 77181, 48864, 48634, 103167, 17297, 29295, 109606, 115717, 5486, 53283, 109375, 30358, 103984, 16144, 112169, 125334, 38144, 50834, 100934, 29295, 5486, 117475, 16144, 115552, 16144, 48864, 48634, 107118, 99849, 103195, 32149, 15682, 5486, 113702, 103306, 16144, 53283, 109375, 126194, 5486, 101171, 111, 16144, 122502, 50834, 24273, 30512, 74090, 55038, 116446, 78698, 105262, 125231, 111769, 32149, 9174, 14711, 220, 44597, 116325, 20379, 19732, 64467, 106839, 34363, 16995, 111201, 120007, 16144, 101171, 111, 30512, 122502, 32149, 122101, 32149, 220, 58426, 25963, 198, 20713, 8107, 123090, 67645, 112384, 16144, 74482, 101477, 102, 29295, 13153, 101544, 103792, 32149, 15682, 5486, 112844, 17129, 72661, 100604, 100909, 108995, 9174, 11144, 30926, 27452, 20713, 112479, 116531, 116056, 77219, 125743, 26854, 30591, 9174, 124944, 108072, 25197, 9174, 116531, 43444, 117039, 30512, 20379, 15024, 7705, 85701, 120572, 1811, 114387, 16144, 67016, 104435, 104865, 95532, 124944, 116422, 107188, 32149, 5486, 104712, 112973, 103470, 38144, 89505, 58246, 198, 116531, 33281, 104, 48634, 100604, 102189, 57980, 26854, 1811, 125821, 91875, 50834, 107407, 102944, 105693, 103950, 9174, 124944, 43444, 61075, 119707, 21105, 240, 30369, 23954, 116531, 107090, 223, 76947, 37507, 16995, 57980, 1811, 117039, 16144, 104774, 106696, 120572, 9174, 124944, 108072, 25197, 106609, 116531, 43444, 124944, 29295, 69978, 121118, 104774, 106696, 30512, 106767, 39926, 23954, 85701, 122543, 1811, 119448, 47884, 123307, 102532, 51330, 105494, 103378, 33655, 58942, 9174, 116531, 220, 77693, 55031, 5486, 110382, 26854, 1811, 21405, 102321, 29295, 126843, 16995, 102189, 57980, 9174, 78244, 102334, 16995, 105908, 109416, 71289, 107441, 30369, 108422, 1811, 102181, 50834, 74245, 15024, 102083, 28713, 55031, 26854, 9174, 116531, 113170, 107118, 17129, 30591, 104712, 108995, 1811, 117039, 103082, 127567, 5486, 114225, 104371, 114601, 20230, 17129, 110027, 57980, 9174, 11144, 30926, 27452, 25963, 112479, 116531, 116422, 107188, 32149, 104712, 106084, 120572, 9174, 124944, 104523, 40265, 112130, 95532, 116531, 220, 78250, 27113, 28542, 112624, 28542, 107118, 23039, 126660, 107493, 26854, 9174, 25963, 2845, 113, 32938, 122416, 95221, 101983, 104533, 107404, 107407, 102189, 9174, 124944, 108072, 25197, 5486, 116414, 112130, 95532, 116531, 125606, 101860, 110371, 117039, 36785, 1811, 125821, 91875, 50834, 29295, 102717, 102800, 106046, 78183, 100604, 32149, 95532, 124944, 108072, 25197, 121906, 91763, 100472, 116233, 29295, 124563, 107188, 32149, 104712, 112973, 43568, 47884, 38144, 9174, 116531, 220, 20713, 109577, 30512, 58426, 110674, 33655, 78183, 103470, 111243, 104712, 102189, 108422, 9174, 104712, 105494, 30512, 26955, 94, 27384, 39926, 33655, 30297, 110162, 5486, 25963, 109577, 103214, 64121, 114146, 111243, 104712, 102189, 9174, 77693, 72661, 43568, 118544, 95532, 124944, 69839, 247, 89151, 69978, 76947, 50834, 33541, 9174, 85701, 104405, 112130, 11571, 220, 110382, 30512, 26955, 94, 27384, 54926, 102677, 16144, 77181, 89505, 58246, 198, 116531, 220, 126699, 5486, 104712, 110034, 32149, 1811, 104446, 30591, 115847, 15682, 57980, 15024, 114318, 9174, 116531, 121655, 30297, 115303, 59739, 15682, 5486, 22957, 51330, 21405, 102321, 36785, 1811, 114715, 104371, 47523, 29295, 112294, 16995, 26854, 9174, 102971, 105242, 30512, 61826, 20230, 69978, 76947, 50834, 38144, 5486, 112690, 32977, 114715, 104195, 16995, 104873, 45829, 117657, 9174, 82973, 119703, 55031, 5486, 110480, 87217, 30512, 125639, 109913, 105262, 113314, 16556, 125338, 120700, 9174, 44416, 48249, 82973, 78250, 17620, 36785, 9174, 7, 78250, 17620, 74482, 8, 85701, 16556, 104405, 123253, 32149, 9174, 116531, 18049, 230, 11972, 15024, 5486, 17129, 30591, 104712, 108995, 118844, 16556, 104662, 109709, 36785, 9174, 117039, 26955, 94, 27384, 127564, 5486, 114225, 104371, 114601, 120332, 20230, 18904, 39926, 120700, 9174, 116531, 106369, 25580, 5486, 104712, 64810, 107446, 127662, 108422, 1811, 59739, 105557, 32977, 80988, 239, 105714, 33121, 57980, 9174, 14711, 220, 46702, 116325, 20379, 19732, 64467, 106839, 34363, 16995, 111201, 120007, 16144, 101171, 111, 30512, 122502, 32149, 122101, 32149, 220, 58426, 20713, 198, 10, 20713, 101860, 59739, 72661, 121410, 9080, 28713, 109768, 76622, 81219, 5486, 20713, 8107, 28713, 59739, 19732, 121409, 34617, 60596, 44597, 108176, 119520, 5486, 27113, 105110, 81219, 5486, 20713, 8107, 28713, 114598, 27113, 16144, 110674, 103195, 1811, 116900, 20230, 34363, 20713, 105110, 81219, 5486, 20713, 8107, 74482, 102052, 34363, 34617, 60596, 44597, 115717, 5486, 10, 20713, 101860, 118821, 107803, 107118, 66224, 34617, 27113, 102944, 104364, 29295, 59739, 102532, 114732, 1811, 110834, 119064, 116537, 17792, 21990, 107809, 16556, 108048, 108422, 33121, 99849, 33503, 116421, 83799, 16556, 64467, 106839, 9554, 80195, 75267, 20230, 28713, 59739, 1811, 61826, 101477, 102, 103306, 74482, 101477, 102, 20230, 5486, 17905, 65743, 103306, 34048, 17297, 20230, 5486, 106759, 103306, 45829, 20230, 5486, 80539, 100927, 104599, 103306, 48864, 108710, 30046, 20230, 5486, 123120, 16144, 67016, 28713, 3922, 117876, 16144, 67016, 28713, 3922, 53508, 231, 104195, 16144, 67016, 28713, 30512, 16995, 85791, 16995, 85791, 19732, 64467, 106839, 54926, 1811, 120007, 113115, 39926, 121410, 9080, 121410, 9080, 108882, 64121, 30358, 101832, 100481, 47884, 58426, 64467, 106839, 15682, 5486, 28873, 28713, 39926, 50021, 112909, 13153, 101544, 124545, 121409, 20713, 16144, 64467, 106839, 101983, 103836, 108995, 32149, 9174, 50021, 112909, 13153, 101544, 124545, 13177, 121409, 20713, 117503, 64467, 106839, 117282, 32149, 5486, 110904, 109020, 13177, 64467, 20379, 10646, 125030, 67645, 115464, 32149, 5486, 116900, 20230, 13177, 13153, 101544, 16144, 100525, 101, 102639, 66383, 109020, 32149, 106116, 120098, 15682, 5486, 120007, 113115, 54926, 122502, 50834, 126929, 29295, 116898, 111201, 120007, 16144, 101171, 111, 30512, 122502, 32149, 122101, 105933, 123120, 101983, 103836, 32149, 102677, 110229, 117083, 109900, 15682, 115408, 126027, 101171, 111, 16144, 48864, 108710, 16144, 67016, 28713, 29295, 13177, 123120, 56051, 106592, 48864, 108710, 54926, 10646, 220, 102677, 100909, 109860, 103195, 9174, 86127, 126027, 101171, 111, 15682, 5486, 123120, 56051, 110018, 20230, 122502, 102334, 101171, 111, 16144, 122502, 50834, 24273, 10110, 101365, 106613, 18904, 47095, 111363, 22023, 18476, 16144, 108044, 116547, 24273, 7705, 30512, 5486, 123120, 16144, 67016, 28713, 16144, 61304, 125534, 103306, 105623, 226, 108882, 109768, 47884, 101200, 101983, 103836, 1811, 105864, 230, 70203, 54926, 106556, 15682, 5486, 122282, 123120, 123410, 100909, 113468, 96356, 107294, 47884, 105879, 57903, 5486, 122282, 29430, 19732, 58426, 113702, 30512, 90620, 112854, 58942, 90620, 76622, 77181, 5486, 122282, 15682, 108608, 101200, 102052, 105110, 100604, 1811, 100927, 104599, 29295, 71289, 31431, 24273, 16144, 123604, 30512, 20379, 15024, 108048, 101983, 33503, 76947, 122282, 15024, 106116, 113702, 30512, 37656, 102800, 102944, 19732, 125261, 15024, 5486, 17129, 43514, 29295, 107462, 104984, 115364, 123120, 30512, 23951, 37656, 54926, 1811, 86127, 105459, 29295, 37271, 5486, 118969, 75694, 17129, 26854, 122282, 29295, 108608, 102677, 104468, 121906, 56051, 106592, 108882, 64121, 30358, 101832, 38144, 105898, 55031, 126529, 103195, 1811, 220, 59739, 109709, 5486, 120007, 20230, 101662, 125655, 125231, 123120, 30512, 108608, 104466, 39926, 109134, 102052, 106116, 123120, 30512, 116166, 124545, 124122, 101171, 111, 16144, 122502, 50834, 24273, 30512, 106613, 111186, 107726, 38144, 71289, 33503, 123207, 105110, 100604, 102677, 100909, 103195, 1811, 64467, 106839, 9554, 80195, 75267, 117083, 102944, 102052, 5486, 108895, 56051, 101171, 111, 123120, 48864, 20230, 75146, 109669, 47884, 103984, 28542, 114792, 59739, 105908, 110745, 104721, 107693, 26854, 111681, 104482, 103195, 102083, 58942, 101200, 1811, 101662, 125655, 125231, 120007, 16144, 13153, 101544, 30512, 119448, 47884, 118396, 54926, 100909, 108176, 55031, 103195, 1811, 114207, 30591, 112568, 15682, 108149, 112568, 29295, 101662, 125655, 125231, 120007, 16144, 101171, 111, 30512, 122502, 32149, 72342, 100934, 32149, 9174, 10634, 120, 101662, 125655, 125231, 120007, 20230, 5486, 30832, 105888, 71289, 22649, 104611, 122416, 102158, 107462, 100604, 32149, 9174, 10634, 120, 78698, 107800, 31431, 104662, 64889, 103792, 123120, 56051, 104468, 108149, 26854, 90620, 76622, 101983, 107462, 100604, 32149, 9174, 10634, 120, 78183, 107277, 20230, 47884, 16995, 64467, 20379, 16556, 50021, 112909, 107960, 108267, 107726, 115926, 5486, 105856, 106053, 19732, 5877, 109, 113160, 122416, 16556, 109134, 95221, 30512, 21388, 110027, 126386, 32149, 9174, 10634, 120, 58426, 123120, 30512, 116166, 124545, 124122, 101171, 111, 16144, 122502, 32149, 72342, 24273, 30512, 5486, 108056, 19732, 106613, 111186, 107726, 100934, 108995, 32149, 9174, 14711, 220, 34617, 121238, 64178, 15682, 25963, 34617, 97049, 16556, 120111, 108176, 198, 56040, 13177, 115389, 16995, 10646, 29295, 120111, 108176, 39850, 71493, 78683, 78525, 91062, 56040, 220, 81191, 27113, 60596, 8107, 105140, 5486, 58291, 30369, 91482, 64178, 108695, 29295, 5486, 91482, 64178, 30512, 13177, 30297, 17129, 16995, 66383, 112391, 30369, 101200, 110276, 8107, 106036, 95, 15682, 99849, 97049, 32149, 5486, 102677, 104873, 112984, 30512, 103350, 102923, 56051, 1811, 25963, 34617, 97049, 108048, 29295, 104873, 112984, 20230, 106608, 100204, 28713, 20713, 32307, 9039, 103633, 107707, 115274, 16144, 112603, 103195, 9174, 91482, 64178, 15682, 107202, 103868, 16144, 101182, 115320, 42506, 103195, 1811, 45114, 102, 165, 73609, 112028, 109247, 30512, 126407, 104004, 101908, 19732, 86127, 20230, 107571, 7, 25963, 20713, 97049, 8, 71289, 23018, 45829, 7, 20713, 66115, 97049, 8, 15682, 13177, 114387, 107202, 16995, 102944, 5486, 116414, 119279, 16995, 102800, 16144, 91006, 19732, 104655, 47884, 1811, 112185, 107202, 103868, 30512, 13177, 30297, 17129, 16995, 66383, 112391, 30369, 103868, 112854, 114792, 107462, 100604, 105272, 1811, 114516, 15682, 21990, 17129, 106824, 114225, 16144, 38574, 106090, 77181, 5486, 110631, 16995, 103868, 67016, 33334, 16995, 102800, 107118, 112391, 100604, 1811, 109657, 25827, 121441, 16144, 40526, 20230, 59657, 102, 103868, 71289, 115200, 103868, 5486, 107202, 103868, 5486, 108602, 103868, 16144, 101182, 102944, 30512, 17701, 104028, 19732, 5486, 124402, 16556, 110408, 15024, 20834, 39926, 114732, 1811, 110631, 64121, 116749, 16144, 103868, 126130, 16995, 102800, 19732, 112391, 30369, 99750, 112854, 15682, 5486, 122617, 5486, 21990, 17129, 106824, 23897, 123470, 102456, 104654, 107809, 16556, 122635, 109768, 119064, 103195, 9174, 17039, 102800, 103868, 112854, 16144, 122635, 102052, 5486, 82973, 29295, 32149, 117295, 1811, 21990, 74482, 34617, 56040, 19, 113746, 16556, 27704, 109315, 106627, 111528, 102456, 5486, 122279, 33503, 121867, 102944, 55031, 110567, 16995, 102944, 117657, 122416, 16556, 103470, 5486, 116213, 103868, 55031, 36785, 102189, 127842, 127919, 16995, 103868, 20230, 21105, 103, 29295, 33503, 5486, 59657, 102, 103868, 3922, 110631, 115200, 103868, 3922, 108602, 103868, 104309, 39135, 104680, 26854, 103868, 20230, 101557, 96, 33121, 107726, 100481, 47884, 1811, 102131, 39926, 5486, 113261, 116581, 5486, 45829, 67645, 102944, 103188, 39607, 30512, 106613, 38144, 119436, 19732, 112361, 102944, 30512, 125764, 110071, 101200, 108176, 16144, 102052, 95598, 9039, 8107, 32149, 117295, 107030, 29295, 46729, 77181, 17297, 117255, 29295, 16325, 106718, 108176, 103296, 110745, 17792, 11883, 71493, 110494, 19732, 45829, 67645, 32977, 11883, 71493, 110494, 16144, 17, 104091, 104770, 126694, 106358, 1811, 117434, 103868, 16144, 21990, 21589, 250, 71289, 58911, 101161, 113, 5486, 115200, 45829, 30512, 119436, 19732, 112361, 104466, 102456, 17663, 101200, 110276, 104468, 121270, 48864, 124305, 101275, 16144, 119400, 103351, 9174, 35894, 113351, 16144, 121894, 126694, 31431, 5486, 120175, 100815, 102334, 127749, 16556, 43568, 22649, 30512, 107726, 101860, 5486, 103721, 108, 31431, 104196, 15024, 102831, 95221, 114652, 101557, 96, 33503, 109768, 47884, 109807, 108882, 64121, 30358, 101832, 16556, 116898, 85791, 16995, 85791, 26854, 102944, 29295, 125764, 110071, 101200, 101983, 107462, 47884, 119520, 17792, 74843, 5486, 70563, 34363, 111817, 119775, 106063, 66378, 16144, 104195, 16995, 102765, 31431, 71289, 103868, 114792, 59739, 102944, 30512, 115389 ]
[ 16995, 5486, 108064, 17129, 72661, 125764, 102204, 100604, 45829, 67645, 32977, 32977, 107991, 9174, 120111, 5486, 115389, 117714, 125641, 116825, 32149, 30813, 67645, 30369, 104468, 13177, 102491, 16995, 101171, 111, 10646, 20230, 103204, 54926, 13177, 15355, 223, 115895, 33014, 10646, 66327, 102491, 16995, 101171, 111, 66383, 15682, 101171, 111, 116388, 71289, 109337, 100499, 226, 104309, 5486, 118958, 109205, 69978, 112649, 124233, 30369, 122502, 50834, 123410, 101171, 111, 16144, 105494, 30512, 112844, 109807, 13177, 102491, 16995, 101171, 111, 10646, 20230, 103204, 54926, 13177, 15355, 223, 115895, 33014, 10646, 15682, 115364, 118958, 125030, 76947, 105509, 26854, 102944, 5486, 64209, 30590, 57980, 16995, 102944, 30512, 120111, 19732, 112391, 30369, 122502, 50834, 114792, 103836, 1811, 110631, 16995, 103868, 126130, 16995, 102800, 19732, 112391, 30369, 104468, 5486, 118958, 109205, 69978, 16144, 113009, 56420, 20230, 103214, 64121, 104526, 103468, 102944, 16556, 5486, 109657, 25827, 121441, 29295, 123726, 30369, 113009, 99046, 224, 18655, 54926, 103760, 111528, 106116, 110631, 30813, 15682, 105509, 26854, 102944, 5486, 115364, 118958, 30512, 106154, 30369, 102944, 103195, 106592, 5486, 99750, 112854, 103306, 19732, 33503, 58942, 110071, 101200, 101983, 103836, 16144, 103195, 9174, 15355, 223, 115895, 33014, 15682, 5486, 106649, 23538, 61304, 125534, 30512, 109215, 26854, 102944, 19732, 102131, 16556, 100604, 102944, 20230, 123927, 17620, 105784, 56235, 103803, 16144, 114225, 37795, 96, 117083, 1811, 15355, 223, 115895, 33014, 19732, 56235, 103803, 110792, 56965, 102052, 108134, 16144, 71289, 31431, 108167, 29295, 30591, 76947, 5486, 120111, 115389, 117714, 108134, 15682, 106613, 111186, 16144, 61304, 125534, 19732, 102971, 102802, 59739, 102532, 104721, 33208, 109768, 47884, 1811, 105465, 21105, 243, 64209, 30590, 57980, 30813, 7, 104023, 105509, 8, 19732, 107173, 20230, 106613, 111186, 56051, 102944, 15682, 120111, 115717, 5486, 116900, 20230, 114774, 26854, 106613, 111186, 19732, 102971, 102802, 59739, 126145, 115389, 16995, 101983, 107462, 47884, 9174, 51330, 39850, 71493, 78683, 78525, 91062, 30512, 30297, 17129, 47884, 33655, 76947, 5486, 116581, 109421, 16144, 102212, 108171, 115389, 16995, 30512, 103470, 56051, 31809, 104575, 107407, 1811, 102362, 74843, 71289, 70563, 108941, 16073, 29295, 115389, 16995, 26854, 45829, 29295, 127181, 106592, 64209, 55487, 56051, 15308, 226, 113598, 101559, 121944, 13177, 104734, 53953, 106767, 15024, 110698, 102456, 66383, 95604, 102944, 30512, 78698, 107800, 16144, 103195, 1811, 78519, 25287, 71289, 91875, 53953, 25287, 20230, 102769, 100472, 102212, 108171, 30512, 102208, 103214, 9039, 17792, 20230, 40265, 28713, 30369, 104466, 107253, 104874, 15024, 108048, 30512, 17701, 106824, 33334, 32149, 101860, 116825, 109749, 124845, 5486, 104734, 53953, 15682, 112832, 112197, 32149, 101860, 109156, 103836, 107188, 114318, 71289, 100472, 16144, 103195, 1811, 112990, 5486, 45829, 67645, 32977, 127282, 58426, 104734, 53953, 30512, 106767, 17663, 112973, 105465, 106624, 38144, 15120, 32938, 103435, 116, 51609, 106767, 17663, 1811, 91774, 59739, 32149, 104533, 64121, 103171, 16144, 47453, 101, 103192, 16144, 17129, 26854, 75694, 15024, 107809, 16556, 58426, 104734, 53953, 30512, 125764, 30369, 109807, 113702, 5486, 91774, 30926, 120111, 115389, 16995, 15682, 123733, 76947, 114604, 102677, 16144, 103195, 1811, 220, 30813, 38144, 77181, 5486, 91482, 64178, 15682, 26854, 112371, 25963, 34617, 97049, 16556, 120111, 108176, 104865, 1811, 25963, 34617, 97049, 102677, 104468, 5486, 104575, 30512, 124305, 101275, 39926, 117876, 107294, 50834, 83747, 56051, 100472, 119400, 5486, 117876, 16144, 16906, 111, 21105, 243, 71289, 5486, 111108, 21105, 243, 101182, 16995, 15682, 28190, 101828, 30813, 30512, 112391, 38144, 50834, 100934, 5486, 107943, 119400, 108995, 1811, 25580, 43032, 16144, 104873, 112984, 103732, 104984, 108048, 103296, 13177, 107202, 16995, 66383, 112391, 101732, 91482, 64178, 30512, 13177, 30297, 17129, 16995, 66383, 91763, 100472, 58426, 125344, 127749, 15682, 111476, 123737, 15682, 117876, 16144, 76537, 43514, 109415, 3922, 104346, 17857, 224, 17905, 31431, 107384, 34171, 15682, 117876, 112454, 31431, 3922, 115320, 64121, 38093, 198, 55999, 33035, 54926, 104468, 5486, 88399, 239, 16995, 9080, 5486, 114652, 106142, 107800, 91482, 64178, 5486, 98915, 17792, 5486, 113850, 56965, 103195, 1811, 111006, 16144, 53610, 17620, 105318, 20230, 5486, 117876, 29295, 105721, 78183, 100472, 110018, 16144, 105843, 103350, 99750, 9458, 87447, 54322, 99750, 19732, 126521, 113850, 56965, 29295, 21601, 78183, 100472, 110018, 36896, 107202, 16995, 10646, 29295, 13177, 30297, 17129, 16995, 10646, 20230, 124500, 100472, 105272, 1811, 108341, 121, 102800, 106613, 111186, 19732, 102971, 102802, 59739, 47884, 118733, 108048, 103296, 115389, 16995, 115287, 102944, 32977, 125764, 110071, 101200, 108176, 5486, 120111, 108176, 1811, 101171, 111, 15682, 5486, 105509, 103195, 100909, 5486, 102395, 103195, 100909, 121906, 56051, 108134, 19732, 107173, 109156, 100472, 103868, 15682, 126521, 108134, 103306, 61304, 125534, 54926, 102677, 100909, 103195, 113637, 39850, 71493, 41920, 78525, 91062, 30512, 5486, 30297, 17129, 47884, 33655, 30297, 19732, 125764, 53953, 122416, 16556, 103470, 107202, 46034, 26854, 102944, 30512, 101545, 44309, 108608, 5486, 114774, 5486, 107202, 112909, 59739, 47884, 110104, 104466, 54926, 105908, 108608, 109807, 41007, 111363, 107461, 52414, 29295, 110382, 117083, 9174, 14711, 220, 25963, 109388, 119841, 24273, 29295, 5486, 115350, 15682, 16144, 102802, 30369, 198, 102936, 40862, 115350, 71289, 25197, 78459, 117243, 102647, 112909, 64467, 106839, 15024, 5486, 53610, 102687, 17039, 65743, 105514, 16144, 102212, 79059, 123488, 13177, 102212, 79059, 114760, 16144, 104261, 10646, 107809, 20230, 103350, 13372, 16556, 120955, 54926, 108680, 16144, 13372, 47260, 113335, 122603, 40198, 254, 106839, 115719, 105514, 7, 104604, 17792, 8, 16144, 112690, 103195, 1811, 64467, 106839, 21105, 103, 16995, 24273, 29295, 57980, 16995, 102677, 115552, 111769, 1811, 64467, 106839, 102052, 107507, 101198, 94550, 29295, 109215, 36785, 102677, 100909, 103195, 1811, 47260, 113335, 15682, 115350, 16144, 124490, 28542, 20230, 95221, 109669, 126145, 114225, 30591, 33121, 85701, 19732, 61633, 39926, 103801, 16995, 29295, 43514, 103195, 119520, 5486, 115350, 116907, 29295, 58426, 100909, 16144, 125478, 34171, 20230, 95221, 109669, 16995, 126386, 110018, 71289, 5486, 112185, 105994, 16556, 103082, 104533, 91763, 107462, 104533, 50834, 102052, 5486, 65917, 55031, 78659, 20230, 104655, 50834, 89753, 103646, 31431, 5486, 116900, 20230, 95543, 102404, 103646, 31431, 39926, 114732, 1811, 109860, 112160, 24273, 112535, 29295, 64121, 29295, 64121, 78244, 114598, 8239, 114503, 119703, 102677, 1811, 8239, 114503, 107407, 104468, 5486, 70141, 108895, 55031, 50021, 111813, 20230, 124284, 110018, 36785, 102677, 1811, 120007, 29295, 5486, 104655, 105898, 16995, 102677, 110783, 110095, 110276, 110018, 20230, 85707, 107436, 5486, 117896, 16144, 37689, 91774, 29295, 120007, 20230, 101682, 76622, 18655, 110071, 102677, 100909, 108995, 1811, 107668, 108710, 15682, 5486, 48864, 108710, 30046, 29295, 36668, 33014, 112535, 23039, 30297, 110018, 20230, 32335, 32977, 8239, 114503, 30512, 122765, 30369, 1811, 48864, 108710, 16144, 36668, 33014, 103195, 101171, 111, 16144, 112415, 16144, 22656, 105284, 29295, 36668, 33014, 9554, 5486, 37026, 102404, 9554, 103195, 55031, 103195, 1811, 90620, 104655, 119188, 103378, 16144, 101682, 96356, 16144, 48864, 108710, 77181, 5486, 101171, 111, 15682, 112415, 30512, 122434, 107726, 5486, 110018, 102052, 37087, 47884, 105677, 104127, 7, 120379, 76947, 8, 114732, 115789, 101182, 1811, 48864, 108710, 15682, 5486, 108729, 9554, 102052, 48864, 108710, 30046, 29295, 105994, 16556, 109134, 102944, 126529, 103195, 1811, 64467, 106839, 30046, 29295, 15120, 24273, 112535, 64467, 106839, 120837, 108048, 15682, 120007, 102052, 107246, 110226, 84389, 100604, 102677, 100909, 103195, 1811, 110758, 46034, 29295, 125338, 109749, 103296, 101511, 75293, 59739, 1811, 45736, 40198, 254, 105514, 15682, 108048, 30512, 113805, 113420, 102677, 29295, 5486, 90620, 109416, 25827, 71289, 111842, 75293, 103836, 16144, 126194, 5486, 115924, 58942, 101860, 58426, 115350, 16144, 106592, 114181, 105085, 15024, 115515, 120007, 102052, 99849, 29295, 109215, 32149, 102677, 106592, 106596, 103792, 1811, 102131, 39926, 33334, 102532, 5486, 115350, 16144, 110783, 110095, 16144, 104721, 33208, 30512, 13177, 75293, 59739, 117503, 103195, 1811, 120007, 16144, 110783, 110095, 30512, 98499, 64121, 18655, 30369, 100909, 5486, 53900, 5486, 120007, 20230, 48864, 108710, 17663, 125231, 106592, 115364, 109606, 103306, 37689, 109375, 124545, 100909, 5486, 80539, 106116, 106592, 48864, 102802, 106956, 102677, 110783, 110095, 30512, 125119, 124545, 100909, 106116, 124122, 75267, 19967, 111842, 122502, 50834, 126929, 108048, 29295, 5486, 30832, 105888, 16144, 53283, 109375, 9458, 112113, 30512, 64467, 106839, 54926, 57933, 29220, 122842, 19732, 112361, 104699, 110706, 5486, 114774, 77693, 71689, 20230, 109215, 36785, 102677, 100909, 103195, 1811, 126159, 102212, 79059, 98220, 30512, 106627, 103468, 74482, 101511, 45736, 40198, 254, 105514, 15682, 103178, 55139, 16144, 117745, 104575, 16556, 106222, 70626, 16144, 100927, 104599, 110276, 1811, 105514, 29295, 114341, 102446, 126198, 108881, 20230, 117734, 21990, 126027, 30832, 105888, 16144, 100604, 80172, 102639, 71289, 31431, 26854, 64209, 16144, 121894, 20230, 105104, 106824, 110371, 45829, 126027, 113009, 105994, 20230, 108608, 105908, 101182, 16144, 111769, 32149, 19732, 108436, 96356, 56051, 102677, 1811, 45736, 40198, 254, 105514, 16144, 20834, 105350, 107218, 123, 102052, 21990, 107263, 16144, 120613, 16144, 109203, 20230, 58426, 21990, 107263, 16144, 45163, 37507, 16144, 110526, 29295, 102181, 50834, 104526, 25827, 103195, 1811, 108881, 20230, 105104, 33121, 58426, 106592, 87177, 104482, 20230, 15024, 5486, 80539, 21990, 107263, 29295, 104405, 70141, 32149, 103836, 32149, 30512, 115924, 58942, 101860, 91774, 106154, 103836, 105272, 102677, 66327, 91774, 106154, 103836, 57980, 66383, 95604, 39850, 26269, 64810, 78767, 30512, 20834, 21105, 103, 29295, 33503, 91774, 106154, 30369, 108048, 29295, 51330, 17792, 20230, 104655, 50834, 120650, 108895, 102677, 95221, 20230, 107726, 28713, 16144, 103195, 9174, 14711, 220, 20713, 106664, 91875, 16144, 110904, 116254, 33208, 29295, 101171, 111, 16144, 123457, 13079, 108, 58942, 124545, 198, 101171, 107722, 112506, 15682, 5486, 21990, 17129, 106824, 55031, 18, 8107, 104699, 110706, 16144, 56965, 15682, 17620, 117068, 39926, 115079, 105262, 29295, 108048, 23897, 74482, 15682, 114485, 107462, 47884, 122416, 36785, 102677, 1811, 121410, 9080, 78250, 32307, 102159, 104699, 110706, 101860, 59739, 114485, 107462, 126145, 117952, 104028, 1811, 114516, 16144, 101171, 107722, 112506, 16144, 9039, 15682, 103664, 20713, 44597, 27113, 117913, 102159, 1811, 20713, 8107, 16556, 605, 32307, 18028, 12676, 9080, 104023, 18, 11, 13655, 32307, 102159, 5486, 66115, 27113, 97049, 110276, 107404, 102052, 18, 11, 13655, 32307, 18028, 1490, 104023, 1682, 117913, 1049, 15, 32307, 102159, 5486, 59739, 109709, 37087, 33014, 16144, 81191, 113127, 29295, 21388, 126832, 100909, 108176, 1811, 103672, 102663, 71289, 53953, 112727, 33121, 15682, 102131, 56051, 113702, 16144, 102321, 47523, 102677, 113334, 103195, 1811, 125821, 32977, 5486, 101171, 111, 15682, 114652, 33655, 114598, 868, 113127, 104699, 110706, 67016, 33655, 78183, 110615, 102677, 55031, 5486, 508, 113127, 29295, 21388, 78183, 106824, 32977, 108618, 111331, 105494, 124905, 121118, 105262, 109335, 108608, 102677, 100909, 103195, 118844, 15682, 8107, 106036, 95, 109904, 102944, 103195, 29295, 5486, 101171, 107722, 112506, 16144, 114485, 83747, 15682, 123120, 16144, 67016, 28713, 113468, 32977, 125119, 30369, 102677, 1811, 220, 101182, 111926, 120706, 16556, 5486, 118899, 105268, 16995, 107707, 101171, 111, 20230, 108901, 104721, 29295, 72718, 50834, 100934, 102677, 120270, 122291, 1811, 105268, 16995, 105352, 32149, 124233, 121140, 53953, 112727, 33121, 29295, 106266, 102800, 102677, 36896, 105268, 8107, 34171, 127824, 76622, 10646, 29295, 43240, 115737, 76947, 50834, 100934, 102677, 16144, 103195, 1811, 25580, 9080, 38093, 100472, 106592, 112727, 115032, 1811, 107691, 16995, 53953, 117158, 32149, 107441, 72516, 20230, 100815, 102334, 33503, 117119, 30512, 107691, 119178, 105898, 104865, 112727, 115032, 1811, 46729, 20230, 114941, 76947, 46729, 17792, 20230, 104655, 102532, 55031, 108031, 127637, 20834, 32149, 107674, 29295, 5486, 72516, 20230, 100815, 102334, 33503, 53900, 112727, 106824, 103801, 103836, 102083, 100472, 27452, 29295, 43240, 47884, 91774, 110071, 118855, 5486, 108064, 32977, 109713, 47307, 110548, 111999, 78525, 26854, 110115, 117902, 106624, 102701, 117785, 119707, 76622, 100934, 105879, 104655, 126145, 5486, 109713, 47307, 110548, 30512, 120837, 35818, 24273, 16144, 118322, 103984, 48634, 125334, 100604, 105879, 102701, 117785, 119707, 76622, 100934, 105272, 29295, 112185, 91774, 119841, 19732, 112844, 1811, 104873, 115694, 64121, 104533, 5486, 105321, 19732, 91774, 119841, 24273, 16144, 30832, 20230, 5486, 109713, 47307, 110548, 111999, 78525, 29295, 17, 109577, 125639, 101732, 1811, 25580, 9080, 116497, 15024, 112727, 33121, 101732, 110229, 20230, 5486, 30358, 101832, 38144, 125639, 101732, 102677, 113637, 104328, 107118, 34617, 27113, 55038, 16144, 111482, 103195, 29295, 5486, 101171, 111, 16144, 117812, 120915, 22398, 107391, 16073, 30512, 39926, 64121, 104533, 5486, 120870, 26854, 107803, 16144, 66224, 27113, 113127, 16144, 37729, 33857, 67016, 100604, 5486, 59739, 109709, 66224, 27113, 56040, 66115, 27113, 31640, 16144, 107707, 101171, 111, 101983, 103836, 102677, 16144, 103195, 1811, 124908, 104599, 16144, 120761, 64889, 103732, 104984, 5486, 81180, 236, 123332, 16144, 113385, 15682, 37087, 47884, 103429, 109904, 102944, 111769, 102677, 1811, 101171, 111, 124905, 78183, 100604, 104654, 30512, 103792, 72342, 16995, 36785, 102677, 1811, 101171, 111, 16144, 67645, 16144, 105494, 29295, 67645, 16144, 113314, 112415, 103792, 32149, 15682, 5486, 101171, 111, 16144, 104473, 111155, 30512, 104873, 103854, 30369, 100909, 113468, 78183, 117295, 1811, 101171, 111, 29295, 112415, 103792, 39177, 15682, 104473, 111155, 29295, 43240, 47884, 109020, 55031, 103195, 1811, 104473, 111155, 29295, 43240, 115737, 104533, 58426, 105494, 16144, 126287, 29295, 45736, 47884, 109020, 1811, 60868, 25005, 95, 111134, 106384, 11972, 102677, 45893, 77913, 16556, 101171, 111, 16144, 21405, 28190, 16144, 126287, 104721, 33208, 30512, 104873, 103854, 104533, 5486, 101171, 111, 16144, 67645, 16144, 105494, 29295, 112415, 103792, 32149, 29295, 78183, 117295, 16144, 103195, 9174, 58426, 120706, 77181, 116898, 85791, 16995, 85791, 26854, 104654, 123120, 122692, 101171, 111 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16995, 5486, 108064, 17129, 72661, 125764, 102204, 100604, 45829, 67645, 32977, 32977, 107991, 9174, 120111, 5486, 115389, 117714, 125641, 116825, 32149, 30813, 67645, 30369, 104468, 13177, 102491, 16995, 101171, 111, 10646, 20230, 103204, 54926, 13177, 15355, 223, 115895, 33014, 10646, 66327, 102491, 16995, 101171, 111, 66383, 15682, 101171, 111, 116388, 71289, 109337, 100499, 226, 104309, 5486, 118958, 109205, 69978, 112649, 124233, 30369, 122502, 50834, 123410, 101171, 111, 16144, 105494, 30512, 112844, 109807, 13177, 102491, 16995, 101171, 111, 10646, 20230, 103204, 54926, 13177, 15355, 223, 115895, 33014, 10646, 15682, 115364, 118958, 125030, 76947, 105509, 26854, 102944, 5486, 64209, 30590, 57980, 16995, 102944, 30512, 120111, 19732, 112391, 30369, 122502, 50834, 114792, 103836, 1811, 110631, 16995, 103868, 126130, 16995, 102800, 19732, 112391, 30369, 104468, 5486, 118958, 109205, 69978, 16144, 113009, 56420, 20230, 103214, 64121, 104526, 103468, 102944, 16556, 5486, 109657, 25827, 121441, 29295, 123726, 30369, 113009, 99046, 224, 18655, 54926, 103760, 111528, 106116, 110631, 30813, 15682, 105509, 26854, 102944, 5486, 115364, 118958, 30512, 106154, 30369, 102944, 103195, 106592, 5486, 99750, 112854, 103306, 19732, 33503, 58942, 110071, 101200, 101983, 103836, 16144, 103195, 9174, 15355, 223, 115895, 33014, 15682, 5486, 106649, 23538, 61304, 125534, 30512, 109215, 26854, 102944, 19732, 102131, 16556, 100604, 102944, 20230, 123927, 17620, 105784, 56235, 103803, 16144, 114225, 37795, 96, 117083, 1811, 15355, 223, 115895, 33014, 19732, 56235, 103803, 110792, 56965, 102052, 108134, 16144, 71289, 31431, 108167, 29295, 30591, 76947, 5486, 120111, 115389, 117714, 108134, 15682, 106613, 111186, 16144, 61304, 125534, 19732, 102971, 102802, 59739, 102532, 104721, 33208, 109768, 47884, 1811, 105465, 21105, 243, 64209, 30590, 57980, 30813, 7, 104023, 105509, 8, 19732, 107173, 20230, 106613, 111186, 56051, 102944, 15682, 120111, 115717, 5486, 116900, 20230, 114774, 26854, 106613, 111186, 19732, 102971, 102802, 59739, 126145, 115389, 16995, 101983, 107462, 47884, 9174, 51330, 39850, 71493, 78683, 78525, 91062, 30512, 30297, 17129, 47884, 33655, 76947, 5486, 116581, 109421, 16144, 102212, 108171, 115389, 16995, 30512, 103470, 56051, 31809, 104575, 107407, 1811, 102362, 74843, 71289, 70563, 108941, 16073, 29295, 115389, 16995, 26854, 45829, 29295, 127181, 106592, 64209, 55487, 56051, 15308, 226, 113598, 101559, 121944, 13177, 104734, 53953, 106767, 15024, 110698, 102456, 66383, 95604, 102944, 30512, 78698, 107800, 16144, 103195, 1811, 78519, 25287, 71289, 91875, 53953, 25287, 20230, 102769, 100472, 102212, 108171, 30512, 102208, 103214, 9039, 17792, 20230, 40265, 28713, 30369, 104466, 107253, 104874, 15024, 108048, 30512, 17701, 106824, 33334, 32149, 101860, 116825, 109749, 124845, 5486, 104734, 53953, 15682, 112832, 112197, 32149, 101860, 109156, 103836, 107188, 114318, 71289, 100472, 16144, 103195, 1811, 112990, 5486, 45829, 67645, 32977, 127282, 58426, 104734, 53953, 30512, 106767, 17663, 112973, 105465, 106624, 38144, 15120, 32938, 103435, 116, 51609, 106767, 17663, 1811, 91774, 59739, 32149, 104533, 64121, 103171, 16144, 47453, 101, 103192, 16144, 17129, 26854, 75694, 15024, 107809, 16556, 58426, 104734, 53953, 30512, 125764, 30369, 109807, 113702, 5486, 91774, 30926, 120111, 115389, 16995, 15682, 123733, 76947, 114604, 102677, 16144, 103195, 1811, 220, 30813, 38144, 77181, 5486, 91482, 64178, 15682, 26854, 112371, 25963, 34617, 97049, 16556, 120111, 108176, 104865, 1811, 25963, 34617, 97049, 102677, 104468, 5486, 104575, 30512, 124305, 101275, 39926, 117876, 107294, 50834, 83747, 56051, 100472, 119400, 5486, 117876, 16144, 16906, 111, 21105, 243, 71289, 5486, 111108, 21105, 243, 101182, 16995, 15682, 28190, 101828, 30813, 30512, 112391, 38144, 50834, 100934, 5486, 107943, 119400, 108995, 1811, 25580, 43032, 16144, 104873, 112984, 103732, 104984, 108048, 103296, 13177, 107202, 16995, 66383, 112391, 101732, 91482, 64178, 30512, 13177, 30297, 17129, 16995, 66383, 91763, 100472, 58426, 125344, 127749, 15682, 111476, 123737, 15682, 117876, 16144, 76537, 43514, 109415, 3922, 104346, 17857, 224, 17905, 31431, 107384, 34171, 15682, 117876, 112454, 31431, 3922, 115320, 64121, 38093, 198, 55999, 33035, 54926, 104468, 5486, 88399, 239, 16995, 9080, 5486, 114652, 106142, 107800, 91482, 64178, 5486, 98915, 17792, 5486, 113850, 56965, 103195, 1811, 111006, 16144, 53610, 17620, 105318, 20230, 5486, 117876, 29295, 105721, 78183, 100472, 110018, 16144, 105843, 103350, 99750, 9458, 87447, 54322, 99750, 19732, 126521, 113850, 56965, 29295, 21601, 78183, 100472, 110018, 36896, 107202, 16995, 10646, 29295, 13177, 30297, 17129, 16995, 10646, 20230, 124500, 100472, 105272, 1811, 108341, 121, 102800, 106613, 111186, 19732, 102971, 102802, 59739, 47884, 118733, 108048, 103296, 115389, 16995, 115287, 102944, 32977, 125764, 110071, 101200, 108176, 5486, 120111, 108176, 1811, 101171, 111, 15682, 5486, 105509, 103195, 100909, 5486, 102395, 103195, 100909, 121906, 56051, 108134, 19732, 107173, 109156, 100472, 103868, 15682, 126521, 108134, 103306, 61304, 125534, 54926, 102677, 100909, 103195, 113637, 39850, 71493, 41920, 78525, 91062, 30512, 5486, 30297, 17129, 47884, 33655, 30297, 19732, 125764, 53953, 122416, 16556, 103470, 107202, 46034, 26854, 102944, 30512, 101545, 44309, 108608, 5486, 114774, 5486, 107202, 112909, 59739, 47884, 110104, 104466, 54926, 105908, 108608, 109807, 41007, 111363, 107461, 52414, 29295, 110382, 117083, 9174, 14711, 220, 25963, 109388, 119841, 24273, 29295, 5486, 115350, 15682, 16144, 102802, 30369, 198, 102936, 40862, 115350, 71289, 25197, 78459, 117243, 102647, 112909, 64467, 106839, 15024, 5486, 53610, 102687, 17039, 65743, 105514, 16144, 102212, 79059, 123488, 13177, 102212, 79059, 114760, 16144, 104261, 10646, 107809, 20230, 103350, 13372, 16556, 120955, 54926, 108680, 16144, 13372, 47260, 113335, 122603, 40198, 254, 106839, 115719, 105514, 7, 104604, 17792, 8, 16144, 112690, 103195, 1811, 64467, 106839, 21105, 103, 16995, 24273, 29295, 57980, 16995, 102677, 115552, 111769, 1811, 64467, 106839, 102052, 107507, 101198, 94550, 29295, 109215, 36785, 102677, 100909, 103195, 1811, 47260, 113335, 15682, 115350, 16144, 124490, 28542, 20230, 95221, 109669, 126145, 114225, 30591, 33121, 85701, 19732, 61633, 39926, 103801, 16995, 29295, 43514, 103195, 119520, 5486, 115350, 116907, 29295, 58426, 100909, 16144, 125478, 34171, 20230, 95221, 109669, 16995, 126386, 110018, 71289, 5486, 112185, 105994, 16556, 103082, 104533, 91763, 107462, 104533, 50834, 102052, 5486, 65917, 55031, 78659, 20230, 104655, 50834, 89753, 103646, 31431, 5486, 116900, 20230, 95543, 102404, 103646, 31431, 39926, 114732, 1811, 109860, 112160, 24273, 112535, 29295, 64121, 29295, 64121, 78244, 114598, 8239, 114503, 119703, 102677, 1811, 8239, 114503, 107407, 104468, 5486, 70141, 108895, 55031, 50021, 111813, 20230, 124284, 110018, 36785, 102677, 1811, 120007, 29295, 5486, 104655, 105898, 16995, 102677, 110783, 110095, 110276, 110018, 20230, 85707, 107436, 5486, 117896, 16144, 37689, 91774, 29295, 120007, 20230, 101682, 76622, 18655, 110071, 102677, 100909, 108995, 1811, 107668, 108710, 15682, 5486, 48864, 108710, 30046, 29295, 36668, 33014, 112535, 23039, 30297, 110018, 20230, 32335, 32977, 8239, 114503, 30512, 122765, 30369, 1811, 48864, 108710, 16144, 36668, 33014, 103195, 101171, 111, 16144, 112415, 16144, 22656, 105284, 29295, 36668, 33014, 9554, 5486, 37026, 102404, 9554, 103195, 55031, 103195, 1811, 90620, 104655, 119188, 103378, 16144, 101682, 96356, 16144, 48864, 108710, 77181, 5486, 101171, 111, 15682, 112415, 30512, 122434, 107726, 5486, 110018, 102052, 37087, 47884, 105677, 104127, 7, 120379, 76947, 8, 114732, 115789, 101182, 1811, 48864, 108710, 15682, 5486, 108729, 9554, 102052, 48864, 108710, 30046, 29295, 105994, 16556, 109134, 102944, 126529, 103195, 1811, 64467, 106839, 30046, 29295, 15120, 24273, 112535, 64467, 106839, 120837, 108048, 15682, 120007, 102052, 107246, 110226, 84389, 100604, 102677, 100909, 103195, 1811, 110758, 46034, 29295, 125338, 109749, 103296, 101511, 75293, 59739, 1811, 45736, 40198, 254, 105514, 15682, 108048, 30512, 113805, 113420, 102677, 29295, 5486, 90620, 109416, 25827, 71289, 111842, 75293, 103836, 16144, 126194, 5486, 115924, 58942, 101860, 58426, 115350, 16144, 106592, 114181, 105085, 15024, 115515, 120007, 102052, 99849, 29295, 109215, 32149, 102677, 106592, 106596, 103792, 1811, 102131, 39926, 33334, 102532, 5486, 115350, 16144, 110783, 110095, 16144, 104721, 33208, 30512, 13177, 75293, 59739, 117503, 103195, 1811, 120007, 16144, 110783, 110095, 30512, 98499, 64121, 18655, 30369, 100909, 5486, 53900, 5486, 120007, 20230, 48864, 108710, 17663, 125231, 106592, 115364, 109606, 103306, 37689, 109375, 124545, 100909, 5486, 80539, 106116, 106592, 48864, 102802, 106956, 102677, 110783, 110095, 30512, 125119, 124545, 100909, 106116, 124122, 75267, 19967, 111842, 122502, 50834, 126929, 108048, 29295, 5486, 30832, 105888, 16144, 53283, 109375, 9458, 112113, 30512, 64467, 106839, 54926, 57933, 29220, 122842, 19732, 112361, 104699, 110706, 5486, 114774, 77693, 71689, 20230, 109215, 36785, 102677, 100909, 103195, 1811, 126159, 102212, 79059, 98220, 30512, 106627, 103468, 74482, 101511, 45736, 40198, 254, 105514, 15682, 103178, 55139, 16144, 117745, 104575, 16556, 106222, 70626, 16144, 100927, 104599, 110276, 1811, 105514, 29295, 114341, 102446, 126198, 108881, 20230, 117734, 21990, 126027, 30832, 105888, 16144, 100604, 80172, 102639, 71289, 31431, 26854, 64209, 16144, 121894, 20230, 105104, 106824, 110371, 45829, 126027, 113009, 105994, 20230, 108608, 105908, 101182, 16144, 111769, 32149, 19732, 108436, 96356, 56051, 102677, 1811, 45736, 40198, 254, 105514, 16144, 20834, 105350, 107218, 123, 102052, 21990, 107263, 16144, 120613, 16144, 109203, 20230, 58426, 21990, 107263, 16144, 45163, 37507, 16144, 110526, 29295, 102181, 50834, 104526, 25827, 103195, 1811, 108881, 20230, 105104, 33121, 58426, 106592, 87177, 104482, 20230, 15024, 5486, 80539, 21990, 107263, 29295, 104405, 70141, 32149, 103836, 32149, 30512, 115924, 58942, 101860, 91774, 106154, 103836, 105272, 102677, 66327, 91774, 106154, 103836, 57980, 66383, 95604, 39850, 26269, 64810, 78767, 30512, 20834, 21105, 103, 29295, 33503, 91774, 106154, 30369, 108048, 29295, 51330, 17792, 20230, 104655, 50834, 120650, 108895, 102677, 95221, 20230, 107726, 28713, 16144, 103195, 9174, 14711, 220, 20713, 106664, 91875, 16144, 110904, 116254, 33208, 29295, 101171, 111, 16144, 123457, 13079, 108, 58942, 124545, 198, 101171, 107722, 112506, 15682, 5486, 21990, 17129, 106824, 55031, 18, 8107, 104699, 110706, 16144, 56965, 15682, 17620, 117068, 39926, 115079, 105262, 29295, 108048, 23897, 74482, 15682, 114485, 107462, 47884, 122416, 36785, 102677, 1811, 121410, 9080, 78250, 32307, 102159, 104699, 110706, 101860, 59739, 114485, 107462, 126145, 117952, 104028, 1811, 114516, 16144, 101171, 107722, 112506, 16144, 9039, 15682, 103664, 20713, 44597, 27113, 117913, 102159, 1811, 20713, 8107, 16556, 605, 32307, 18028, 12676, 9080, 104023, 18, 11, 13655, 32307, 102159, 5486, 66115, 27113, 97049, 110276, 107404, 102052, 18, 11, 13655, 32307, 18028, 1490, 104023, 1682, 117913, 1049, 15, 32307, 102159, 5486, 59739, 109709, 37087, 33014, 16144, 81191, 113127, 29295, 21388, 126832, 100909, 108176, 1811, 103672, 102663, 71289, 53953, 112727, 33121, 15682, 102131, 56051, 113702, 16144, 102321, 47523, 102677, 113334, 103195, 1811, 125821, 32977, 5486, 101171, 111, 15682, 114652, 33655, 114598, 868, 113127, 104699, 110706, 67016, 33655, 78183, 110615, 102677, 55031, 5486, 508, 113127, 29295, 21388, 78183, 106824, 32977, 108618, 111331, 105494, 124905, 121118, 105262, 109335, 108608, 102677, 100909, 103195, 118844, 15682, 8107, 106036, 95, 109904, 102944, 103195, 29295, 5486, 101171, 107722, 112506, 16144, 114485, 83747, 15682, 123120, 16144, 67016, 28713, 113468, 32977, 125119, 30369, 102677, 1811, 220, 101182, 111926, 120706, 16556, 5486, 118899, 105268, 16995, 107707, 101171, 111, 20230, 108901, 104721, 29295, 72718, 50834, 100934, 102677, 120270, 122291, 1811, 105268, 16995, 105352, 32149, 124233, 121140, 53953, 112727, 33121, 29295, 106266, 102800, 102677, 36896, 105268, 8107, 34171, 127824, 76622, 10646, 29295, 43240, 115737, 76947, 50834, 100934, 102677, 16144, 103195, 1811, 25580, 9080, 38093, 100472, 106592, 112727, 115032, 1811, 107691, 16995, 53953, 117158, 32149, 107441, 72516, 20230, 100815, 102334, 33503, 117119, 30512, 107691, 119178, 105898, 104865, 112727, 115032, 1811, 46729, 20230, 114941, 76947, 46729, 17792, 20230, 104655, 102532, 55031, 108031, 127637, 20834, 32149, 107674, 29295, 5486, 72516, 20230, 100815, 102334, 33503, 53900, 112727, 106824, 103801, 103836, 102083, 100472, 27452, 29295, 43240, 47884, 91774, 110071, 118855, 5486, 108064, 32977, 109713, 47307, 110548, 111999, 78525, 26854, 110115, 117902, 106624, 102701, 117785, 119707, 76622, 100934, 105879, 104655, 126145, 5486, 109713, 47307, 110548, 30512, 120837, 35818, 24273, 16144, 118322, 103984, 48634, 125334, 100604, 105879, 102701, 117785, 119707, 76622, 100934, 105272, 29295, 112185, 91774, 119841, 19732, 112844, 1811, 104873, 115694, 64121, 104533, 5486, 105321, 19732, 91774, 119841, 24273, 16144, 30832, 20230, 5486, 109713, 47307, 110548, 111999, 78525, 29295, 17, 109577, 125639, 101732, 1811, 25580, 9080, 116497, 15024, 112727, 33121, 101732, 110229, 20230, 5486, 30358, 101832, 38144, 125639, 101732, 102677, 113637, 104328, 107118, 34617, 27113, 55038, 16144, 111482, 103195, 29295, 5486, 101171, 111, 16144, 117812, 120915, 22398, 107391, 16073, 30512, 39926, 64121, 104533, 5486, 120870, 26854, 107803, 16144, 66224, 27113, 113127, 16144, 37729, 33857, 67016, 100604, 5486, 59739, 109709, 66224, 27113, 56040, 66115, 27113, 31640, 16144, 107707, 101171, 111, 101983, 103836, 102677, 16144, 103195, 1811, 124908, 104599, 16144, 120761, 64889, 103732, 104984, 5486, 81180, 236, 123332, 16144, 113385, 15682, 37087, 47884, 103429, 109904, 102944, 111769, 102677, 1811, 101171, 111, 124905, 78183, 100604, 104654, 30512, 103792, 72342, 16995, 36785, 102677, 1811, 101171, 111, 16144, 67645, 16144, 105494, 29295, 67645, 16144, 113314, 112415, 103792, 32149, 15682, 5486, 101171, 111, 16144, 104473, 111155, 30512, 104873, 103854, 30369, 100909, 113468, 78183, 117295, 1811, 101171, 111, 29295, 112415, 103792, 39177, 15682, 104473, 111155, 29295, 43240, 47884, 109020, 55031, 103195, 1811, 104473, 111155, 29295, 43240, 115737, 104533, 58426, 105494, 16144, 126287, 29295, 45736, 47884, 109020, 1811, 60868, 25005, 95, 111134, 106384, 11972, 102677, 45893, 77913, 16556, 101171, 111, 16144, 21405, 28190, 16144, 126287, 104721, 33208, 30512, 104873, 103854, 104533, 5486, 101171, 111, 16144, 67645, 16144, 105494, 29295, 112415, 103792, 32149, 29295, 78183, 117295, 16144, 103195, 9174, 58426, 120706, 77181, 116898, 85791, 16995, 85791, 26854, 104654, 123120, 122692, 101171, 111 ]
[ 16144, 112415, 33857, 30512, 104873, 103854, 28713, 1811, 112990, 5486, 19012, 225, 21418, 101513, 16556, 19012, 225, 21418, 54926, 104468, 5486, 23964, 240, 16556, 19012, 225, 21418, 54926, 110115, 57106, 115694, 15682, 30369, 111201, 101171, 111, 16144, 112415, 33857, 29295, 83747, 100604, 1811, 88435, 71289, 61304, 18476, 104088, 38144, 103672, 127065, 30512, 110408, 17663, 103378, 16144, 101721, 116450, 113245, 122282, 15682, 5486, 109163, 70203, 54926, 105755, 15682, 30369, 111201, 101171, 111, 16144, 112415, 33857, 29295, 83747, 103470, 5486, 101171, 111, 16144, 104473, 111155, 15682, 102717, 19732, 124592, 30591, 29295, 110104, 1811, 102756, 107610, 42634, 16556, 88435, 30512, 102181, 119064, 32977, 5486, 46034, 16556, 102181, 47884, 105755, 101171, 111, 16144, 112415, 33857, 15682, 15682, 30369, 111201, 83747, 100604, 1811, 113173, 114792, 76947, 46034, 9458, 64467, 30512, 91875, 32149, 17663, 123120, 5486, 28713, 19732, 116285, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 5486, 104817, 64121, 53953, 5486, 105465, 32648, 30512, 119375, 47884, 100909, 71289, 99959, 107446, 123410, 100909, 5486, 122735, 104309, 120950, 5486, 122225, 71289, 125456, 19732, 111006, 30512, 91875, 32149, 17663, 100909, 19732, 29295, 109242, 40862, 56051, 123120, 29295, 105755, 101171, 111, 30512, 76706, 102404, 20230, 122502, 32149, 17663, 100909, 108176, 9174, 104654, 122692, 123120, 29295, 5486, 67645, 124592, 25827, 101171, 111, 124905, 78183, 100604, 16556, 111587, 104004, 101200, 101983, 103836, 1811, 114516, 42016, 101559, 16144, 114308, 40862, 114774, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 32977, 104437, 116213, 101983, 103836, 109807, 16325, 16556, 109620, 61994, 19732, 104654, 107113, 105110, 81219, 5486, 101171, 111, 15682, 9080, 104680, 56906, 33208, 109768, 47884, 102677, 100909, 108176, 1811, 101171, 111, 15682, 5486, 33655, 78183, 100604, 16556, 16995, 104533, 58426, 105494, 29295, 81180, 236, 123332, 109768, 119064, 103195, 9174, 101171, 111, 30512, 76706, 34171, 33208, 54926, 102052, 5486, 123120, 30512, 110904, 116254, 33208, 39926, 112987, 124324, 102677, 100909, 103195, 66327, 91774, 100934, 103378, 59712, 104655, 119188, 103378, 59712, 112854, 105262, 103378, 117503, 48864, 108710, 30512, 39926, 7, 107726, 38144, 8, 16995, 100604, 32149, 1811, 113727, 107726, 101860, 20230, 5486, 64467, 20379, 56051, 100909, 103378, 30512, 71289, 117063, 126386, 32149, 115397, 17792, 123462, 106063, 20230, 117876, 71289, 53508, 231, 104195, 30512, 39926, 10110, 107726, 38144, 7705, 16995, 100604, 32149, 1811, 101171, 111, 30512, 122502, 32149, 72342, 100934, 104468, 5486, 17905, 65743, 5486, 100927, 104599, 5486, 106759, 103378, 101983, 107462, 100604, 32149, 9174, 86127, 127282, 5486, 89151, 20230, 101171, 111, 30512, 112415, 107726, 100934, 32149, 102677, 103984, 28542, 16556, 115364, 123120, 71289, 104654, 16144, 57903, 24273, 104088, 74245, 39926, 64121, 30369, 109215, 107407, 118855, 5486, 17792, 30512, 91875, 32149, 17663, 80195, 75267, 117083, 17792, 5486, 17792, 30512, 101662, 125655, 80195, 75267, 117083, 116537, 5486, 120007, 16144, 101171, 111, 30512, 89151, 20230, 112415, 107726, 100934, 32149, 102677, 91774, 30590, 16556, 5486, 117876, 71289, 48864, 108710, 16144, 44915, 71289, 41007, 30512, 78698, 107290, 64121, 30369, 109215, 107407, 16144, 111769, 32149, 1811, 128001, 128000, 567, 115189, 250, 103129, 35330, 16556, 101402, 107873, 101426, 102404, 101721, 102332, 22324, 16144, 103181, 126462, 26955, 254, 28542, 1774, 109984, 32938, 5486, 105623, 226, 101721, 107980, 29295, 103470, 107734, 80195, 28713, 101860, 95532, 38093, 82420, 111800, 112984, 94923, 16144, 104873, 103854, 16556, 5486, 117501, 66870, 16144, 111983, 103129, 118482, 112212, 5486, 94134, 33014, 29295, 103181, 126462, 26955, 254, 28542, 102923, 102332, 20230, 64531, 104874, 56051, 101402, 107873, 101426, 102404, 101721, 120370, 123160, 117591, 112160, 34048, 16144, 114746, 121960, 5486, 105623, 226, 101721, 107980, 120370, 104309, 29295, 64531, 104874, 84389, 126386, 103846, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 102404, 101721, 56051, 101721, 123457, 84844, 110698, 118765, 105908, 78183, 102518, 9174, 51330, 111800, 112984, 103732, 104533, 5486, 109606, 122291, 104468, 5486, 42016, 64531, 104874, 118482, 30512, 103350, 102923, 56051, 14417, 102697, 72099, 23530, 102865, 101634, 123160, 117591, 5486, 717, 72099, 23530, 102865, 101634, 104309, 9174, 42016, 94923, 15682, 5486, 679, 17, 110895, 21909, 679, 20, 110895, 16144, 64531, 104874, 118482, 1927, 118482, 10110, 118482, 106382, 82420, 806, 117913, 20, 11, 19242, 32307, 89783, 35757, 5486, 29504, 107086, 111983, 103129, 35330, 120019, 109518, 82420, 23, 117913, 23, 11, 22387, 32307, 89783, 35757, 7705, 16556, 5486, 103181, 126462, 26955, 254, 28542, 102923, 102332, 20230, 64531, 104874, 56051, 101402, 107873, 101426, 102404, 101721, 120370, 104309, 82420, 1927, 120370, 5486, 82420, 2421, 114746, 10110, 101402, 107873, 101426, 80805, 124643, 102404, 101721, 33857, 82420, 20128, 13, 22, 74, 54, 7705, 16325, 5486, 82420, 1774, 114746, 10110, 42016, 82420, 15805, 13, 19, 74, 54, 7705, 29295, 105623, 226, 101721, 107980, 120370, 9458, 114363, 11883, 18904, 47095, 30512, 102332, 105784, 113404, 19732, 72342, 101860, 20230, 64531, 104874, 107113, 19732, 64467, 112419, 9174, 51330, 113702, 30512, 119870, 17129, 58942, 5486, 38093, 82420, 111800, 112984, 94923, 15682, 605, 9953, 1187, 9080, 5486, 117501, 27384, 113524, 113115, 39926, 5486, 717, 72099, 23530, 102865, 101634, 123160, 109638, 40265, 54926, 101402, 107873, 101426, 102404, 101721, 120370, 113115, 39926, 5486, 105623, 226, 101721, 107980, 120370, 30512, 64531, 104874, 54926, 104309, 5486, 101721, 123457, 84844, 110698, 54926, 124122, 109215, 26854, 116876, 22324, 30512, 114341, 100204, 124545, 100909, 5486, 53900, 5486, 101402, 107873, 101426, 102404, 101721, 120370, 123160, 113404, 20230, 109215, 26854, 104650, 37689, 28542, 104309, 30512, 20379, 39926, 5486, 94134, 33014, 20230, 41642, 53283, 17599, 117, 104792, 54926, 106592, 32018, 109013, 9174, 567, 108837, 250, 101721, 126101, 101721, 123457, 84844, 110698, 108608, 32149, 113404, 30512, 111800, 112984, 198, 37271, 18904, 5486, 38093, 82420, 111800, 112984, 94923, 15682, 5486, 117501, 66870, 16144, 111983, 103129, 118482, 16556, 5486, 72368, 45893, 102697, 72099, 104309, 71289, 117501, 25197, 101335, 102832, 38248, 115, 78205, 16073, 108134, 101513, 106391, 10110, 101778, 108931, 103633, 31640, 101129, 24775, 7705, 30512, 33035, 100204, 38144, 111983, 103129, 35330, 16144, 39209, 47000, 104309, 114475, 76622, 5486, 103181, 126462, 26955, 254, 28542, 102923, 102332, 20230, 64531, 104874, 103646, 101402, 107873, 101426, 102404, 101721, 120370, 104309, 109853, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 5486, 102404, 101721, 56051, 101721, 123457, 103181, 126462, 26955, 254, 28542, 102923, 102332, 32943, 20230, 51385, 23187, 112535, 84844, 110698, 54926, 105908, 108608, 101200, 109431, 102769, 20230, 113404, 110731, 32149, 104309, 20230, 100815, 102701, 39926, 111800, 112984, 56051, 9174, 103359, 47523, 15682, 5486, 679, 17, 110895, 21909, 679, 21, 110895, 20230, 5486, 82420, 14417, 102697, 72099, 23530, 102865, 101634, 50667, 29295, 103350, 102923, 56051, 64531, 104874, 118482, 5486, 82420, 24430, 118482, 10110, 118482, 106382, 82420, 20077, 117913, 16, 11, 20062, 32307, 89783, 35757, 5486, 29504, 107086, 111983, 103129, 35330, 120019, 109518, 82420, 13762, 117913, 20, 11, 23717, 32307, 89783, 35757, 7705, 16556, 5486, 113404, 111629, 102181, 19732, 102321, 30590, 16144, 127749, 30512, 114140, 54926, 104309, 39926, 38093, 82420, 103350, 30590, 111800, 112984, 117824, 100472, 9174, 51330, 64531, 104874, 118482, 77181, 5486, 64531, 104874, 54926, 101402, 107873, 101426, 80805, 102750, 114615, 102404, 101721, 106045, 54872, 29295, 119448, 16995, 123160, 107803, 102052, 110371, 101402, 107873, 101426, 80805, 124643, 117758, 101721, 123457, 84844, 110698, 54926, 114746, 30512, 109242, 9039, 102332, 105784, 113404, 117824, 16995, 108048, 108422, 33121, 16144, 114746, 121960, 101721, 123457, 84844, 110698, 54926, 120266, 103792, 9174, 53900, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 39177, 102052, 108048, 108422, 33121, 16144, 114746, 48154, 19732, 20230, 64531, 104874, 110731, 105623, 226, 101721, 107980, 120370, 117758, 101721, 123457, 77693, 108422, 33121, 16144, 114746, 16144, 66953, 48552, 122060, 101721, 48634, 103306, 5486, 101402, 107873, 101426, 80805, 124643, 117758, 101721, 123457, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 101721, 123457, 84844, 110698, 54926, 124122, 114363, 11883, 18904, 47095, 20230, 51385, 23187, 112535, 84844, 110698, 54926, 100909, 103306, 102334, 9174, 37271, 18904, 16144, 109606, 29295, 102404, 21990, 56051, 113385, 109853, 5486, 64531, 104874, 118482, 30512, 103350, 102923, 56051, 72099, 23530, 102865, 101634, 104309, 121960, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 5486, 102404, 101721, 56051, 101721, 123457, 51385, 23187, 112535, 84844, 110698, 54926, 103846, 102052, 105623, 226, 101721, 107980, 120370, 104309, 29295, 109215, 103195, 100909, 16144, 104736, 109375, 29295, 124490, 76622, 100934, 100909, 9174, 53900, 5486, 117501, 66870, 121960, 5486, 102208, 114746, 20230, 105623, 226, 101721, 107980, 120370, 104309, 30512, 64531, 104874, 54926, 109215, 107407, 100909, 123160, 101402, 107873, 101426, 102404, 101721, 120370, 123160, 113404, 20230, 109215, 26854, 104650, 37689, 28542, 104309, 30512, 72368, 45893, 102697, 72099, 104309, 19732, 101513, 106391, 20230, 20379, 109768, 100604, 106592, 122765, 100934, 9174, 567, 220, 16, 114746, 20230, 105623, 226, 101721, 107980, 120370, 104309, 30512, 64531, 104874, 109768, 104435, 30926, 27452, 198, 38093, 82420, 111800, 112984, 94923, 15682, 5486, 30926, 27452, 32977, 126362, 103792, 1811, 46091, 30358, 72099, 59563, 17044, 253, 102535, 223, 107159, 107859, 104734, 102865, 15682, 5486, 679, 20, 110895, 20230, 5486, 42016, 102865, 16144, 119208, 103181, 126462, 82420, 55723, 121960, 111098, 111108, 32938, 103306, 82912, 122382, 125398, 21990, 96311, 107, 48864, 108710, 120690, 16144, 26892, 53953, 20230, 5486, 101402, 107873, 101426, 102404, 101721, 120370, 104309, 30512, 64531, 104874, 54926, 118482, 30512, 118482, 106382, 21, 11, 21330, 32307, 17, 11, 931, 35757, 16556, 103350, 102923, 15024, 5486, 117501, 25197, 101335, 102832, 38248, 115, 78205, 16073, 108134, 101513, 106391, 55031, 111983, 103129, 35330, 21, 11, 21330, 32307, 17, 11, 931, 35757, 10110, 29504, 107086, 111983, 103129, 35330, 120019, 109518, 42016, 109518, 120732, 39209, 47000, 114475, 107674, 9174, 42016, 102865, 15682, 5486, 101402, 107873, 101426, 80805, 124643, 82420, 8953, 109577, 10110, 101402, 107873, 101426, 80805, 124643, 102404, 101721, 33857, 82420, 1272, 13, 18, 74, 54, 7705, 30512, 64531, 104874, 15024, 5486, 101402, 107873, 101426, 80805, 124643, 117758, 101721, 48634, 16144, 84844, 110698, 109853, 15682, 5486, 82420, 2983, 109577, 10110, 42016, 82420, 605, 13, 15, 74, 54, 7705, 30512, 16, 114746, 103306, 82420, 19, 114746, 117408, 113404, 114267, 9174, 51330, 117591, 18, 114746, 109853, 15682, 105623, 226, 101721, 107980, 120370, 104309, 30512, 64531, 104874, 119520, 5486, 19, 114746, 16144, 117591, 5486, 16, 114746, 10110, 82420, 2983, 109577, 5486, 101402, 107873, 101426, 80805, 124643, 102404, 101721, 33857, 82420, 605, 13, 15, 74, 54, 7705, 109853, 15682, 5486, 105623, 226, 101721, 107980, 120370, 104309, 30512, 102332, 105784, 113404, 19732, 72342, 101860, 20230, 64531, 104874, 107113, 9174, 51330, 103846, 5486, 16, 114746, 10110, 51330, 114746, 112649, 124233, 30369, 101402, 107873, 101426, 80805, 124643, 9458, 80805, 102756, 38248, 111, 123546, 102895, 96452, 16144, 118482, 106382, 120019, 109518, 24574, 32307, 16, 11, 18712, 35757, 5486, 29504, 107086, 111983, 103129, 35330, 120019, 109518, 42016, 109518, 7705, 109853, 15682, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 5486, 102404, 101721, 56051, 101721, 123457, 42016, 120690, 32943, 20230, 84844, 110698, 54926, 105908, 118765, 121894, 104856, 106358, 1811, 128001, 128000, 2, 113202, 17129, 102321, 75267, 16556, 32018, 62004, 125398, 43511, 101275, 104091, 89046, 120988, 108608, 117434, 21403, 97, 104599, 107118, 95532, 60358, 8107, 5486, 117434, 21403, 97, 104599, 30512, 108167, 112959, 47884, 117501, 16144, 104721, 33208, 15682, 30832, 112854, 17129, 106624, 5486, 60358, 16995, 45163, 37507, 102052, 5486, 112599, 19732, 112361, 105933, 8239, 112, 122502, 77195, 16556, 122502, 47884, 109335, 111108, 106624, 26854, 76947, 47884, 104533, 117952, 106824, 61689, 1811, 43240, 103826, 33208, 54926, 111694, 112919, 78683, 106240, 5486, 21601, 95399, 54926, 101275, 98220, 88356, 104817, 5486, 106613, 112167, 117501, 16144, 109161, 33208, 104309, 106116, 31634, 63212, 112987, 47884, 59739, 32149, 57903, 33541, 29295, 106116, 16325, 72661, 16995, 17129, 26130, 30832, 110731, 112973, 115515, 18904, 108167, 109415, 30369, 13177, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 10646, 38641, 9174, 104873, 21403, 97, 91482, 76428, 102750, 22398, 20230, 74843, 17701, 54926, 108901, 101275, 104091, 114435, 15682, 115079, 58942, 106307, 107441, 108086, 108048, 113468, 101275, 98220, 37087, 33014, 20230, 117375, 30512, 82317, 109416, 127145, 29295, 5486, 112672, 117434, 21403, 97, 104599, 105352, 27384, 112495, 117375, 30512, 58318, 107290, 61689, 198, 108895, 56051, 89753, 33121, 107809, 16556, 5486, 117434, 21403, 97, 104599, 32977, 122502, 50834, 24273, 109853, 91774, 74245, 17663, 39177, 23538, 20230, 37507, 100934, 19732, 78244, 58942, 33541, 1811, 110698, 58318, 28190, 71289, 8239, 112, 122502, 82973, 123160, 30832, 61826, 16144, 30926, 103378, 20230, 67016, 118146, 70141, 76622, 126386, 101200, 77181, 5486, 113146, 16144, 89753, 33121, 107809, 16556, 117434, 21403, 97, 104599, 103306, 85315, 246, 21980, 108, 116216, 114732, 123253, 9174, 77181, 5486, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 29295, 50021, 33671, 104699, 16325, 16556, 115847, 55031, 117434, 21403, 97, 104599, 20230, 32018, 62004, 110071, 107734, 111017, 19732, 122502, 50834, 24273, 107118, 67645, 120950, 102944, 26854, 105879, 109954, 32149, 95532, 91, 64121, 103171, 29295, 102647, 102189, 108436, 107430, 116229, 14809, 18, 198, 91, 102433, 112366, 104297, 16144, 117434, 21403, 97, 104599, 108436, 107430, 116229, 198, 37823, 29220, 96452, 91482, 117434, 21403, 97, 104599, 198, 91, 50520, 111, 106624, 91774, 30369, 198, 91, 117434, 21403, 97, 104599, 108436, 107430, 20230, 66378, 33208, 56051, 108134, 112624, 107121, 198, 117434, 107391, 37823, 198, 91, 19, 8107, 89046, 106307, 48154, 107740, 30046, 112624, 102780, 27479, 2822, 13 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16144, 112415, 33857, 30512, 104873, 103854, 28713, 1811, 112990, 5486, 19012, 225, 21418, 101513, 16556, 19012, 225, 21418, 54926, 104468, 5486, 23964, 240, 16556, 19012, 225, 21418, 54926, 110115, 57106, 115694, 15682, 30369, 111201, 101171, 111, 16144, 112415, 33857, 29295, 83747, 100604, 1811, 88435, 71289, 61304, 18476, 104088, 38144, 103672, 127065, 30512, 110408, 17663, 103378, 16144, 101721, 116450, 113245, 122282, 15682, 5486, 109163, 70203, 54926, 105755, 15682, 30369, 111201, 101171, 111, 16144, 112415, 33857, 29295, 83747, 103470, 5486, 101171, 111, 16144, 104473, 111155, 15682, 102717, 19732, 124592, 30591, 29295, 110104, 1811, 102756, 107610, 42634, 16556, 88435, 30512, 102181, 119064, 32977, 5486, 46034, 16556, 102181, 47884, 105755, 101171, 111, 16144, 112415, 33857, 15682, 15682, 30369, 111201, 83747, 100604, 1811, 113173, 114792, 76947, 46034, 9458, 64467, 30512, 91875, 32149, 17663, 123120, 5486, 28713, 19732, 116285, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 5486, 104817, 64121, 53953, 5486, 105465, 32648, 30512, 119375, 47884, 100909, 71289, 99959, 107446, 123410, 100909, 5486, 122735, 104309, 120950, 5486, 122225, 71289, 125456, 19732, 111006, 30512, 91875, 32149, 17663, 100909, 19732, 29295, 109242, 40862, 56051, 123120, 29295, 105755, 101171, 111, 30512, 76706, 102404, 20230, 122502, 32149, 17663, 100909, 108176, 9174, 104654, 122692, 123120, 29295, 5486, 67645, 124592, 25827, 101171, 111, 124905, 78183, 100604, 16556, 111587, 104004, 101200, 101983, 103836, 1811, 114516, 42016, 101559, 16144, 114308, 40862, 114774, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 32977, 104437, 116213, 101983, 103836, 109807, 16325, 16556, 109620, 61994, 19732, 104654, 107113, 105110, 81219, 5486, 101171, 111, 15682, 9080, 104680, 56906, 33208, 109768, 47884, 102677, 100909, 108176, 1811, 101171, 111, 15682, 5486, 33655, 78183, 100604, 16556, 16995, 104533, 58426, 105494, 29295, 81180, 236, 123332, 109768, 119064, 103195, 9174, 101171, 111, 30512, 76706, 34171, 33208, 54926, 102052, 5486, 123120, 30512, 110904, 116254, 33208, 39926, 112987, 124324, 102677, 100909, 103195, 66327, 91774, 100934, 103378, 59712, 104655, 119188, 103378, 59712, 112854, 105262, 103378, 117503, 48864, 108710, 30512, 39926, 7, 107726, 38144, 8, 16995, 100604, 32149, 1811, 113727, 107726, 101860, 20230, 5486, 64467, 20379, 56051, 100909, 103378, 30512, 71289, 117063, 126386, 32149, 115397, 17792, 123462, 106063, 20230, 117876, 71289, 53508, 231, 104195, 30512, 39926, 10110, 107726, 38144, 7705, 16995, 100604, 32149, 1811, 101171, 111, 30512, 122502, 32149, 72342, 100934, 104468, 5486, 17905, 65743, 5486, 100927, 104599, 5486, 106759, 103378, 101983, 107462, 100604, 32149, 9174, 86127, 127282, 5486, 89151, 20230, 101171, 111, 30512, 112415, 107726, 100934, 32149, 102677, 103984, 28542, 16556, 115364, 123120, 71289, 104654, 16144, 57903, 24273, 104088, 74245, 39926, 64121, 30369, 109215, 107407, 118855, 5486, 17792, 30512, 91875, 32149, 17663, 80195, 75267, 117083, 17792, 5486, 17792, 30512, 101662, 125655, 80195, 75267, 117083, 116537, 5486, 120007, 16144, 101171, 111, 30512, 89151, 20230, 112415, 107726, 100934, 32149, 102677, 91774, 30590, 16556, 5486, 117876, 71289, 48864, 108710, 16144, 44915, 71289, 41007, 30512, 78698, 107290, 64121, 30369, 109215, 107407, 16144, 111769, 32149, 1811, 128001, 128000, 567, 115189, 250, 103129, 35330, 16556, 101402, 107873, 101426, 102404, 101721, 102332, 22324, 16144, 103181, 126462, 26955, 254, 28542, 1774, 109984, 32938, 5486, 105623, 226, 101721, 107980, 29295, 103470, 107734, 80195, 28713, 101860, 95532, 38093, 82420, 111800, 112984, 94923, 16144, 104873, 103854, 16556, 5486, 117501, 66870, 16144, 111983, 103129, 118482, 112212, 5486, 94134, 33014, 29295, 103181, 126462, 26955, 254, 28542, 102923, 102332, 20230, 64531, 104874, 56051, 101402, 107873, 101426, 102404, 101721, 120370, 123160, 117591, 112160, 34048, 16144, 114746, 121960, 5486, 105623, 226, 101721, 107980, 120370, 104309, 29295, 64531, 104874, 84389, 126386, 103846, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 102404, 101721, 56051, 101721, 123457, 84844, 110698, 118765, 105908, 78183, 102518, 9174, 51330, 111800, 112984, 103732, 104533, 5486, 109606, 122291, 104468, 5486, 42016, 64531, 104874, 118482, 30512, 103350, 102923, 56051, 14417, 102697, 72099, 23530, 102865, 101634, 123160, 117591, 5486, 717, 72099, 23530, 102865, 101634, 104309, 9174, 42016, 94923, 15682, 5486, 679, 17, 110895, 21909, 679, 20, 110895, 16144, 64531, 104874, 118482, 1927, 118482, 10110, 118482, 106382, 82420, 806, 117913, 20, 11, 19242, 32307, 89783, 35757, 5486, 29504, 107086, 111983, 103129, 35330, 120019, 109518, 82420, 23, 117913, 23, 11, 22387, 32307, 89783, 35757, 7705, 16556, 5486, 103181, 126462, 26955, 254, 28542, 102923, 102332, 20230, 64531, 104874, 56051, 101402, 107873, 101426, 102404, 101721, 120370, 104309, 82420, 1927, 120370, 5486, 82420, 2421, 114746, 10110, 101402, 107873, 101426, 80805, 124643, 102404, 101721, 33857, 82420, 20128, 13, 22, 74, 54, 7705, 16325, 5486, 82420, 1774, 114746, 10110, 42016, 82420, 15805, 13, 19, 74, 54, 7705, 29295, 105623, 226, 101721, 107980, 120370, 9458, 114363, 11883, 18904, 47095, 30512, 102332, 105784, 113404, 19732, 72342, 101860, 20230, 64531, 104874, 107113, 19732, 64467, 112419, 9174, 51330, 113702, 30512, 119870, 17129, 58942, 5486, 38093, 82420, 111800, 112984, 94923, 15682, 605, 9953, 1187, 9080, 5486, 117501, 27384, 113524, 113115, 39926, 5486, 717, 72099, 23530, 102865, 101634, 123160, 109638, 40265, 54926, 101402, 107873, 101426, 102404, 101721, 120370, 113115, 39926, 5486, 105623, 226, 101721, 107980, 120370, 30512, 64531, 104874, 54926, 104309, 5486, 101721, 123457, 84844, 110698, 54926, 124122, 109215, 26854, 116876, 22324, 30512, 114341, 100204, 124545, 100909, 5486, 53900, 5486, 101402, 107873, 101426, 102404, 101721, 120370, 123160, 113404, 20230, 109215, 26854, 104650, 37689, 28542, 104309, 30512, 20379, 39926, 5486, 94134, 33014, 20230, 41642, 53283, 17599, 117, 104792, 54926, 106592, 32018, 109013, 9174, 567, 108837, 250, 101721, 126101, 101721, 123457, 84844, 110698, 108608, 32149, 113404, 30512, 111800, 112984, 198, 37271, 18904, 5486, 38093, 82420, 111800, 112984, 94923, 15682, 5486, 117501, 66870, 16144, 111983, 103129, 118482, 16556, 5486, 72368, 45893, 102697, 72099, 104309, 71289, 117501, 25197, 101335, 102832, 38248, 115, 78205, 16073, 108134, 101513, 106391, 10110, 101778, 108931, 103633, 31640, 101129, 24775, 7705, 30512, 33035, 100204, 38144, 111983, 103129, 35330, 16144, 39209, 47000, 104309, 114475, 76622, 5486, 103181, 126462, 26955, 254, 28542, 102923, 102332, 20230, 64531, 104874, 103646, 101402, 107873, 101426, 102404, 101721, 120370, 104309, 109853, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 5486, 102404, 101721, 56051, 101721, 123457, 103181, 126462, 26955, 254, 28542, 102923, 102332, 32943, 20230, 51385, 23187, 112535, 84844, 110698, 54926, 105908, 108608, 101200, 109431, 102769, 20230, 113404, 110731, 32149, 104309, 20230, 100815, 102701, 39926, 111800, 112984, 56051, 9174, 103359, 47523, 15682, 5486, 679, 17, 110895, 21909, 679, 21, 110895, 20230, 5486, 82420, 14417, 102697, 72099, 23530, 102865, 101634, 50667, 29295, 103350, 102923, 56051, 64531, 104874, 118482, 5486, 82420, 24430, 118482, 10110, 118482, 106382, 82420, 20077, 117913, 16, 11, 20062, 32307, 89783, 35757, 5486, 29504, 107086, 111983, 103129, 35330, 120019, 109518, 82420, 13762, 117913, 20, 11, 23717, 32307, 89783, 35757, 7705, 16556, 5486, 113404, 111629, 102181, 19732, 102321, 30590, 16144, 127749, 30512, 114140, 54926, 104309, 39926, 38093, 82420, 103350, 30590, 111800, 112984, 117824, 100472, 9174, 51330, 64531, 104874, 118482, 77181, 5486, 64531, 104874, 54926, 101402, 107873, 101426, 80805, 102750, 114615, 102404, 101721, 106045, 54872, 29295, 119448, 16995, 123160, 107803, 102052, 110371, 101402, 107873, 101426, 80805, 124643, 117758, 101721, 123457, 84844, 110698, 54926, 114746, 30512, 109242, 9039, 102332, 105784, 113404, 117824, 16995, 108048, 108422, 33121, 16144, 114746, 121960, 101721, 123457, 84844, 110698, 54926, 120266, 103792, 9174, 53900, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 39177, 102052, 108048, 108422, 33121, 16144, 114746, 48154, 19732, 20230, 64531, 104874, 110731, 105623, 226, 101721, 107980, 120370, 117758, 101721, 123457, 77693, 108422, 33121, 16144, 114746, 16144, 66953, 48552, 122060, 101721, 48634, 103306, 5486, 101402, 107873, 101426, 80805, 124643, 117758, 101721, 123457, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 101721, 123457, 84844, 110698, 54926, 124122, 114363, 11883, 18904, 47095, 20230, 51385, 23187, 112535, 84844, 110698, 54926, 100909, 103306, 102334, 9174, 37271, 18904, 16144, 109606, 29295, 102404, 21990, 56051, 113385, 109853, 5486, 64531, 104874, 118482, 30512, 103350, 102923, 56051, 72099, 23530, 102865, 101634, 104309, 121960, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 5486, 102404, 101721, 56051, 101721, 123457, 51385, 23187, 112535, 84844, 110698, 54926, 103846, 102052, 105623, 226, 101721, 107980, 120370, 104309, 29295, 109215, 103195, 100909, 16144, 104736, 109375, 29295, 124490, 76622, 100934, 100909, 9174, 53900, 5486, 117501, 66870, 121960, 5486, 102208, 114746, 20230, 105623, 226, 101721, 107980, 120370, 104309, 30512, 64531, 104874, 54926, 109215, 107407, 100909, 123160, 101402, 107873, 101426, 102404, 101721, 120370, 123160, 113404, 20230, 109215, 26854, 104650, 37689, 28542, 104309, 30512, 72368, 45893, 102697, 72099, 104309, 19732, 101513, 106391, 20230, 20379, 109768, 100604, 106592, 122765, 100934, 9174, 567, 220, 16, 114746, 20230, 105623, 226, 101721, 107980, 120370, 104309, 30512, 64531, 104874, 109768, 104435, 30926, 27452, 198, 38093, 82420, 111800, 112984, 94923, 15682, 5486, 30926, 27452, 32977, 126362, 103792, 1811, 46091, 30358, 72099, 59563, 17044, 253, 102535, 223, 107159, 107859, 104734, 102865, 15682, 5486, 679, 20, 110895, 20230, 5486, 42016, 102865, 16144, 119208, 103181, 126462, 82420, 55723, 121960, 111098, 111108, 32938, 103306, 82912, 122382, 125398, 21990, 96311, 107, 48864, 108710, 120690, 16144, 26892, 53953, 20230, 5486, 101402, 107873, 101426, 102404, 101721, 120370, 104309, 30512, 64531, 104874, 54926, 118482, 30512, 118482, 106382, 21, 11, 21330, 32307, 17, 11, 931, 35757, 16556, 103350, 102923, 15024, 5486, 117501, 25197, 101335, 102832, 38248, 115, 78205, 16073, 108134, 101513, 106391, 55031, 111983, 103129, 35330, 21, 11, 21330, 32307, 17, 11, 931, 35757, 10110, 29504, 107086, 111983, 103129, 35330, 120019, 109518, 42016, 109518, 120732, 39209, 47000, 114475, 107674, 9174, 42016, 102865, 15682, 5486, 101402, 107873, 101426, 80805, 124643, 82420, 8953, 109577, 10110, 101402, 107873, 101426, 80805, 124643, 102404, 101721, 33857, 82420, 1272, 13, 18, 74, 54, 7705, 30512, 64531, 104874, 15024, 5486, 101402, 107873, 101426, 80805, 124643, 117758, 101721, 48634, 16144, 84844, 110698, 109853, 15682, 5486, 82420, 2983, 109577, 10110, 42016, 82420, 605, 13, 15, 74, 54, 7705, 30512, 16, 114746, 103306, 82420, 19, 114746, 117408, 113404, 114267, 9174, 51330, 117591, 18, 114746, 109853, 15682, 105623, 226, 101721, 107980, 120370, 104309, 30512, 64531, 104874, 119520, 5486, 19, 114746, 16144, 117591, 5486, 16, 114746, 10110, 82420, 2983, 109577, 5486, 101402, 107873, 101426, 80805, 124643, 102404, 101721, 33857, 82420, 605, 13, 15, 74, 54, 7705, 109853, 15682, 5486, 105623, 226, 101721, 107980, 120370, 104309, 30512, 102332, 105784, 113404, 19732, 72342, 101860, 20230, 64531, 104874, 107113, 9174, 51330, 103846, 5486, 16, 114746, 10110, 51330, 114746, 112649, 124233, 30369, 101402, 107873, 101426, 80805, 124643, 9458, 80805, 102756, 38248, 111, 123546, 102895, 96452, 16144, 118482, 106382, 120019, 109518, 24574, 32307, 16, 11, 18712, 35757, 5486, 29504, 107086, 111983, 103129, 35330, 120019, 109518, 42016, 109518, 7705, 109853, 15682, 5486, 126462, 104698, 104309, 111848, 95475, 101721, 126101, 5486, 102404, 101721, 56051, 101721, 123457, 42016, 120690, 32943, 20230, 84844, 110698, 54926, 105908, 118765, 121894, 104856, 106358, 1811, 128001, 128000, 2, 113202, 17129, 102321, 75267, 16556, 32018, 62004, 125398, 43511, 101275, 104091, 89046, 120988, 108608, 117434, 21403, 97, 104599, 107118, 95532, 60358, 8107, 5486, 117434, 21403, 97, 104599, 30512, 108167, 112959, 47884, 117501, 16144, 104721, 33208, 15682, 30832, 112854, 17129, 106624, 5486, 60358, 16995, 45163, 37507, 102052, 5486, 112599, 19732, 112361, 105933, 8239, 112, 122502, 77195, 16556, 122502, 47884, 109335, 111108, 106624, 26854, 76947, 47884, 104533, 117952, 106824, 61689, 1811, 43240, 103826, 33208, 54926, 111694, 112919, 78683, 106240, 5486, 21601, 95399, 54926, 101275, 98220, 88356, 104817, 5486, 106613, 112167, 117501, 16144, 109161, 33208, 104309, 106116, 31634, 63212, 112987, 47884, 59739, 32149, 57903, 33541, 29295, 106116, 16325, 72661, 16995, 17129, 26130, 30832, 110731, 112973, 115515, 18904, 108167, 109415, 30369, 13177, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 10646, 38641, 9174, 104873, 21403, 97, 91482, 76428, 102750, 22398, 20230, 74843, 17701, 54926, 108901, 101275, 104091, 114435, 15682, 115079, 58942, 106307, 107441, 108086, 108048, 113468, 101275, 98220, 37087, 33014, 20230, 117375, 30512, 82317, 109416, 127145, 29295, 5486, 112672, 117434, 21403, 97, 104599, 105352, 27384, 112495, 117375, 30512, 58318, 107290, 61689, 198, 108895, 56051, 89753, 33121, 107809, 16556, 5486, 117434, 21403, 97, 104599, 32977, 122502, 50834, 24273, 109853, 91774, 74245, 17663, 39177, 23538, 20230, 37507, 100934, 19732, 78244, 58942, 33541, 1811, 110698, 58318, 28190, 71289, 8239, 112, 122502, 82973, 123160, 30832, 61826, 16144, 30926, 103378, 20230, 67016, 118146, 70141, 76622, 126386, 101200, 77181, 5486, 113146, 16144, 89753, 33121, 107809, 16556, 117434, 21403, 97, 104599, 103306, 85315, 246, 21980, 108, 116216, 114732, 123253, 9174, 77181, 5486, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 29295, 50021, 33671, 104699, 16325, 16556, 115847, 55031, 117434, 21403, 97, 104599, 20230, 32018, 62004, 110071, 107734, 111017, 19732, 122502, 50834, 24273, 107118, 67645, 120950, 102944, 26854, 105879, 109954, 32149, 95532, 91, 64121, 103171, 29295, 102647, 102189, 108436, 107430, 116229, 14809, 18, 198, 91, 102433, 112366, 104297, 16144, 117434, 21403, 97, 104599, 108436, 107430, 116229, 198, 37823, 29220, 96452, 91482, 117434, 21403, 97, 104599, 198, 91, 50520, 111, 106624, 91774, 30369, 198, 91, 117434, 21403, 97, 104599, 108436, 107430, 20230, 66378, 33208, 56051, 108134, 112624, 107121, 198, 117434, 107391, 37823, 198, 91, 19, 8107, 89046, 106307, 48154, 107740, 30046, 112624, 102780, 27479, 2822, 13 ]
[ 16, 198, 7511, 102433, 112366, 104297, 16144, 117434, 21403, 97, 104599, 108436, 107430, 116229, 198, 117434, 21403, 97, 104599, 108436, 107430, 20230, 66378, 33208, 56051, 108134, 112624, 107121, 198, 19, 8107, 89046, 106307, 48154, 107740, 30046, 112624, 102780, 27479, 2822, 13, 16, 198, 567, 114114, 245, 21601, 54926, 15120, 24273, 16144, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 81191, 27113, 68093, 116033, 102923, 23039, 103646, 117434, 30926, 25333, 23226, 37656, 112212, 5486, 103242, 117434, 25446, 16144, 122626, 118482, 20230, 74843, 17701, 54926, 108901, 101275, 104091, 114435, 15682, 15120, 95221, 20230, 115079, 21601, 121256, 1811, 66378, 20230, 26130, 30832, 103646, 112973, 5486, 110577, 25359, 16144, 101275, 104091, 103195, 104873, 21403, 97, 117434, 91077, 71289, 115173, 115432, 71634, 39880, 19732, 89753, 33035, 31809, 105525, 114435, 110792, 121101, 29172, 120988, 38641, 9174, 42634, 38248, 121, 16073, 19732, 103223, 33710, 102040, 19694, 5486, 64810, 52884, 16073, 25197, 44971, 52884, 16073, 19732, 39880, 76171, 104774, 108941, 57207, 106240, 5486, 104774, 101198, 37823, 108941, 84477, 19732, 39850, 103857, 115145, 123141, 118823, 102756, 105048, 104309, 110745, 46034, 109713, 91482, 78683, 76739, 107446, 71634, 39880, 19732, 27384, 46034, 115173, 115432, 71634, 39880, 71289, 104873, 21403, 97, 117434, 91077, 110792, 121101, 29172, 120988, 15682, 27384, 112495, 26130, 118146, 43167, 62004, 79721, 9174, 85701, 33503, 15682, 102717, 25827, 112028, 34048, 16556, 5486, 43511, 20230, 16995, 47884, 59739, 32977, 30926, 27452, 15682, 57903, 33541, 29295, 5486, 121101, 29172, 120988, 30512, 103130, 62004, 100481, 47884, 102677, 104468, 5486, 114435, 42016, 101559, 16144, 16906, 111, 102800, 114300, 106106, 107809, 16556, 123726, 113487, 16995, 100481, 47884, 113009, 108882, 110993, 112535, 11883, 16995, 125398, 15120, 118821, 46034, 38574, 103195, 19732, 78244, 58942, 33541, 9174, 25333, 23226, 37656, 5486, 106045, 44416, 100783, 102, 34208, 122603, 106036, 95, 33208, 106222, 16144, 116748, 5486, 33420, 106382, 112919, 43240, 103826, 33208, 54926, 78683, 106240, 104309, 112212, 5486, 67645, 16144, 101275, 98220, 32977, 110577, 25359, 16144, 91482, 76428, 102750, 22398, 123604, 77181, 27384, 112495, 13153, 101544, 29295, 91774, 104526, 62004, 100604, 103846, 5486, 104873, 21403, 97, 91482, 76428, 102750, 22398, 71289, 27384, 123378, 117434, 16144, 122626, 30512, 5486, 114715, 72661, 43240, 119064, 17792, 30512, 72516, 124750, 20230, 43167, 109315, 124122, 43167, 65854, 46034, 38574, 112028, 59739, 103306, 46034, 29295, 105784, 101200, 101983, 103836, 16144, 38641, 9174, 567, 123057, 98220, 37087, 33014, 20230, 58318, 105262, 117375, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 113468, 5486, 122412, 5486, 104873, 21403, 97, 117434, 91077, 5486, 115173, 115432, 71634, 39880, 123160, 110577, 25359, 16144, 101275, 98220, 20230, 58318, 105262, 117375, 102052, 103826, 104680, 26854, 102944, 115991, 33541, 9174, 17039, 28713, 26854, 47000, 21601, 95001, 112603, 114792, 100472, 108901, 101275, 104091, 114435, 110792, 47260, 32131, 103672, 72516, 124750, 29295, 115079, 105262, 100909, 113468, 115847, 103296, 120950, 13177, 104873, 21403, 97, 56051, 117434, 30512, 110968, 17663, 103378, 66383, 95604, 72516, 124750, 16144, 101523, 227, 48634, 15682, 103268, 114485, 15024, 5486, 121648, 15682, 32335, 32977, 115364, 78683, 106240, 20230, 106608, 107290, 124089, 72516, 124750, 30512, 107740, 54926, 101200, 101983, 107462, 47884, 105908, 113727, 102204, 33541, 9174, 51330, 104466, 5486, 111694, 112919, 122635, 114300, 106106, 29295, 106266, 33208, 39926, 47884, 104533, 5486, 102208, 104680, 16144, 114435, 71289, 72516, 124750, 29295, 30591, 33503, 106644, 30369, 46034, 38574, 30512, 114341, 100204, 30369, 101200, 115717, 5486, 67645, 33121, 103378, 163, 35911, 28741, 103082, 62004, 104398, 107188, 106613, 112167, 102669, 105838, 71289, 68759, 38248, 109, 103906, 94550, 102669, 105838, 29295, 121697, 110071, 32149, 108048, 30512, 103350, 23039, 108608, 103378, 16144, 103087, 35330, 71289, 17792, 103234, 114792, 103836, 32149, 102677, 105908, 5486, 105755, 43240, 119064, 121648, 30512, 43167, 62004, 110071, 116421, 107693, 26854, 31634, 72238, 115717, 33541, 9174, 108895, 56051, 5486, 17792, 9458, 53953, 9458, 35330, 102677, 103087, 39084, 30512, 119515, 105469, 20230, 69978, 28713, 123207, 118765, 105933, 102669, 105838, 15682, 110745, 114435, 109860, 127105, 108608, 102944, 116787, 5486, 121568, 106613, 112167, 71289, 16325, 31809, 114435, 29295, 112361, 105933, 106613, 112167, 102669, 105838, 16556, 103359, 108324, 54926, 104468, 16906, 111, 102800, 19732, 117952, 75694, 30369, 30512, 50928, 107515, 1811, 57980, 108680, 16144, 47000, 21601, 95001, 112603, 71289, 111090, 68408, 39880, 30512, 21990, 64121, 20834, 30813, 100604, 48249, 31431, 120268, 30813, 26854, 114435, 16144, 106613, 112167, 117501, 15682, 105755, 16906, 111, 102800, 102944, 101983, 107462, 47884, 123253, 9174, 567, 107929, 108, 101275, 104091, 74843, 17701, 16556, 102321, 75267, 20230, 32018, 62004, 110071, 117434, 21403, 97, 104599, 107118, 108901, 101275, 104091, 74843, 17701, 16144, 117375, 15682, 112672, 117434, 21403, 97, 104599, 16144, 122502, 50834, 24273, 105352, 27384, 112495, 117375, 30512, 82317, 109416, 78434, 1811, 102208, 114435, 29295, 13177, 123726, 108618, 30369, 103846, 102052, 117434, 30512, 104873, 21403, 97, 39926, 110968, 17663, 103378, 77181, 99959, 39850, 36785, 66383, 16144, 122225, 30512, 25580, 29172, 114267, 102669, 105838, 30512, 18655, 30369, 107803, 5486, 102321, 75267, 16556, 122502, 119188, 117434, 21403, 97, 104599, 105352, 77693, 50021, 106608, 16144, 104721, 33208, 29295, 32018, 62004, 110071, 100909, 115717, 33541, 9174, 27452, 116285, 5486, 109713, 91482, 78683, 19732, 121101, 29172, 120988, 56051, 104873, 21403, 97, 117434, 91077, 127303, 104984, 5486, 44309, 117434, 64467, 106839, 71289, 104873, 21403, 97, 121101, 20230, 21601, 107290, 5486, 109713, 91482, 78683, 47043, 16144, 122626, 71289, 110362, 55487, 102924, 16144, 108167, 33671, 105557, 123160, 121101, 32977, 22957, 26854, 17663, 100909, 115717, 33541, 15024, 5486, 75910, 106528, 125175, 118482, 30512, 46034, 115856, 105784, 114435, 19732, 29172, 120988, 56051, 104873, 21403, 97, 117434, 91077, 127303, 104984, 5486, 75910, 106528, 125175, 121101, 16144, 22398, 62903, 33710, 32977, 32018, 62004, 110071, 101200, 101983, 104533, 91763, 123671, 33541, 9174, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 29295, 50021, 33671, 105557, 5486, 103826, 104680, 26854, 101275, 104091, 16144, 114435, 110792, 121101, 29172, 120988, 29295, 76706, 102404, 108176, 108680, 5486, 102321, 75267, 16144, 117434, 21403, 97, 104599, 15682, 123532, 37507, 16144, 106556, 121142, 103470, 5486, 115612, 26854, 30177, 65854, 22398, 62903, 33710, 71289, 53283, 109375, 30512, 96356, 20230, 47000, 105784, 105908, 32018, 62004, 110071, 101200, 108176, 16144, 38641, 9174, 13177, 105994, 15682, 117434, 21403, 97, 104599, 103306, 16144, 121101, 103378, 30512, 71289, 31431, 106956, 66383, 78698, 105262, 17792, 32977, 107991, 32149, 106046, 61689, 29295, 5486, 60358, 16995, 45163, 37507, 15682, 102131, 16995, 100472, 113727, 24273, 77181, 123726, 108618, 107462, 76622, 103470, 109020, 125396, 15682, 45736, 47884, 115847, 117758, 117434, 21403, 97, 104599, 20230, 109215, 26854, 104468, 13177, 117501, 16144, 104721, 33208, 20230, 115289, 122279, 113115, 106608, 54926, 66383, 95604, 64209, 106391, 58942, 36785, 106046, 61689, 9174, 59614, 101860, 15024, 32977, 17905, 61304, 120950, 120987, 29295, 125338, 47884, 104533, 48249, 31431, 107515, 29295, 5486, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 113468, 5486, 112599, 16144, 127749, 126328, 101067, 66201, 32977, 59739, 126660, 105933, 117501, 16144, 104721, 33208, 29295, 115364, 41642, 116310, 16556, 125119, 30369, 102677, 125396, 15682, 57903, 33541, 9174, 58426, 110018, 117084, 127933, 38144, 100604, 104466, 5486, 23226, 107436, 115364, 122502, 119188, 117501, 104088, 74245, 15024, 5486, 114300, 106106, 106266, 33208, 113146, 30512, 123726, 113487, 16995, 100481, 47884, 124122, 85701, 117758, 122502, 50834, 24273, 109853, 116898, 17129, 127637, 100204, 121710, 111842, 78698, 107290, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 1811, 128001, 128000, 7058, 121846, 122481, 198, 2929, 111848, 31634, 72238, 16144, 48706, 116696, 48552, 123011, 62004, 198, 47307, 78983, 114615, 17129, 103296, 5486, 31634, 72238, 16144, 101544, 30813, 29295, 30591, 104984, 48706, 127662, 5486, 123207, 48706, 39926, 100604, 198, 14063, 29, 366, 2025, 1822, 2150, 29, 57207, 91062, 57207, 103906, 524, 17330, 648, 1500, 2025, 29, 366, 2664, 29, 366, 614, 538, 429, 15124, 760, 57207, 91062, 524, 614, 29, 694, 2664, 29, 13303, 15124, 1865, 4222, 100015, 220, 16, 220, 101182, 13303, 9103, 1865, 4222, 100015, 220, 15, 220, 100604, 198, 43514, 26854, 64121, 20230, 111476, 23898, 15124, 1865, 4222, 368, 220, 126194, 13303, 15124, 1865, 4222, 220, 103195, 1811, 128001, 128000, 2, 80050, 47307, 26269, 52591, 52884, 77750, 198, 120824, 99397, 75910, 106528, 19732, 120824, 99397, 52030, 106528, 16144, 121953, 29295, 53283, 31431, 106956, 106609, 90115, 6447, 92877, 123470, 30591, 25827, 15024, 25827, 116510, 7190, 234, 50021, 111813, 102452, 16144, 31809, 101129, 38641, 6447, 37271, 18904, 15682, 120824, 99397, 75910, 106528, 19732, 120824, 99397, 52030, 106528, 16144, 121953, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 118953, 107610, 103927, 103202, 107118, 104736, 53283, 111571, 30512, 108623, 105262, 45736, 106036, 95, 30046, 29295, 20, 21909, 24, 17792, 5486, 26892, 53953, 113468, 15682, 111575, 508, 114754, 119046, 16556, 127331, 33503, 17663, 75910, 106528, 103005, 55228, 231, 102923, 102332, 38641, 1811, 104736, 53283, 111571, 16144, 53283, 109375, 114792, 59739, 105335, 26269, 52591, 29295, 118953, 107610, 103927, 103202, 20230, 40053, 126202, 39926, 75910, 106528, 71289, 37026, 80195, 122521, 117824, 61689, 9174, 104736, 53283, 111571, 102677, 103429, 95221, 30512, 111694, 103836, 105352, 32149, 124233, 121140, 53229, 108630, 112535, 103242, 109519, 102663, 39880, 15682, 33334, 22957, 26854, 107462, 107515, 1811, 117355, 27479, 16144, 104736, 53283, 111571, 16144, 126513, 30591, 109709, 103242, 109519, 28190, 16144, 102663, 39880, 15682, 109215, 103470, 5486, 103429, 95221, 16144, 116748, 30512, 126128, 44416, 54926, 113009, 119046, 104654, 30512, 25580, 28190, 20230, 110408, 15024, 118158, 83799, 101983, 103836, 55031, 123253, 32149, 1811, 119627, 71289, 15682, 31431, 103242, 109519, 102663, 39880, 15682, 109215, 102677, 30926, 16556, 120824, 99397, 52030, 106528, 30512, 19732, 31431, 16995, 104028, 118953, 107610, 103927, 103202, 32977, 20834, 38144, 50834, 79721, 9174, 37026, 110362, 20230, 45736, 106036, 95, 112919, 24273, 125001, 104533, 114652, 108870, 117657, 104468, 13177, 120824, 99397, 75910, 106528, 10646, 125651, 5486, 120824, 99397, 52030, 106528, 102677, 104468, 30591, 109709, 104655, 50834, 107515, 109900, 77181, 13177, 120824, 99397, 75910, 106528, 66383, 13177, 120824, 99397, 52030, 106528, 117503, 121953, 15682, 99849, 123253, 32149, 9174, 110176, 24273, 107173, 13177, 120824, 99397, 10646, 59739, 109709, 46729, 102416, 120824, 104028, 16144, 102052, 104721, 116547, 15682, 124897, 29295, 5486, 75910, 106528, 102677, 104468, 103927, 103202, 108768, 33710, 80805, 11972, 19732, 127173, 104028, 120824, 99397, 75910, 106528, 102351, 29295, 54926, 117876, 38641, 1811, 103927, 103202, 108768, 33710, 80805, 11972, 102052, 106444, 103087, 35083, 16144, 75910, 106528, 103005, 55228, 231, 101559, 71289, 102208, 104091, 16144, 101772, 23951, 30512, 23951, 35287, 56051, 102944, 29295, 69978, 125655, 114363, 103722, 103087, 35083, 38641, 9174, 120824, 99397, 75910, 106528, 16144, 117876, 44915, 15682, 5486, 118953, 107610, 103927, 103202, 16144, 104157, 101987, 112919, 102456, 30926, 9458, 17701, 118959, 9458, 61056, 14888, 226, 123160, 111006, 75910, 103129, 124001, 107691, 16995, 53953, 71289, 104873, 22649, 9458, 19012, 225, 21418, 9458, 108914, 102754, 107, 102083, 100472, 104654, 16144, 110238, 103129, 5486, 125175, 123357, 32938, 113468, 15682, 118953, 107610, 103927, 103202, 16144, 104157, 101987, 30046, 29295, 33035, 94923, 16144, 124122, 37705, 109169, 126130, 22957, 26854, 30297, 30926, 32977, 57903, 33541, 1811, 120824, 99397, 75910, 106528, 15682, 5486, 75910, 106528, 33563, 117126, 16144, 102663, 39880, 57326, 93488, 20230, 75146, 109669, 102532, 125175, 104908, 84389, 33541, 9174, 120824, 99397, 52030, 106528, 123410, 116537, 5486, 52030, 106528, 104599, 71289, 103329, 52030, 106528, 104599, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 37823, 102040, 91482, 37823, 60868, 113649, 117718, 22649, 48864, 109519, 25333, 101559, 71289, 19967, 101275, 109519, 25333, 101559, 71289, 78244, 102158, 109519, 25333, 101559, 5486, 102717, 32149, 105352, 109215, 29295, 30591, 104984, 33563, 105298, 122924, 71289, 103129, 106518, 122924, 29295, 120988, 78183, 30369, 117876, 38641, 9174, 120824, 99397, 52030, 106528, 16144, 117876, 44915, 15682, 107740, 112919, 102456, 30926, 9458, 17701, 118959, 9458, 61056, 14888, 226, 123160, 111006, 75910, 103129, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 119627, 103242, 109519, 117120, 22324, 119279, 22957, 26854, 105262, 112973, 120098, 38641, 1811, 27452, 116285, 114218, 16144, 33420, 109177, 5486, 107918, 101860, 33121, 16144, 116876, 22324, 5486, 91939, 225, 103950, 9458, 28542, 73597, 112, 9458, 17792, 49792, 105324, 107246, 32648, 16144, 40452, 104309, 38641, 1811, 22649, 48864, 109519, 25333, 101559, 71289, 19967, 101275, 109519, 25333, 101559, 71289, 78244, 102158, 109519, 25333, 101559, 102052, 37823, 102040, 91482, 37823, 125175, 29295, 101682, 76622, 102204, 33541, 9174, 60358, 8107, 77181, 48915, 37507, 120761, 109519, 16144, 102717, 111201, 5486, 120824, 99397, 120761, 109519, 71289, 33035, 32938, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 113883, 125175, 126130, 22957, 26854, 30297, 107167, 122842, 32977, 120955, 127145, 1811, 117382, 15682, 120824, 99397, 102083, 100472, 33503, 36668, 71005, 103242, 29295, 104198, 120761, 117158, 115856, 105784, 104699, 110706, 67016, 25197, 126989, 29295, 104435, 16144, 119627, 5486, 60358, 119400, 15682, 52030, 106528, 104599, 29295, 40053, 126202, 103792, 30926, 16144, 83747, 100604, 118953, 107610, 103927, 103202, 19732, 103242, 109519, 89046, 120988, 30512, 103792, 107167, 122842, 29295, 43240, 115737, 76947, 50834, 79721, 9174, 44309, 117434, 40452, 123410, 105352, 5486, 103309, 56965, 71289, 105677, 9080, 104309, 108057, 105047, 101918, 30512, 105324, 104369, 67016, 46034, 121697, 29295, 104435, 37271, 103296, 20230, 57106, 103854, 104533, 5486, 52030, 106528, 104599, 104309, 29295, 102532, 124089, 101200, 117084, 118953, 107610, 103927, 103202, 32977, 64209, 104195, 16995, 125651, 9174, 112950, 21990 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 198, 7511, 102433, 112366, 104297, 16144, 117434, 21403, 97, 104599, 108436, 107430, 116229, 198, 117434, 21403, 97, 104599, 108436, 107430, 20230, 66378, 33208, 56051, 108134, 112624, 107121, 198, 19, 8107, 89046, 106307, 48154, 107740, 30046, 112624, 102780, 27479, 2822, 13, 16, 198, 567, 114114, 245, 21601, 54926, 15120, 24273, 16144, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 81191, 27113, 68093, 116033, 102923, 23039, 103646, 117434, 30926, 25333, 23226, 37656, 112212, 5486, 103242, 117434, 25446, 16144, 122626, 118482, 20230, 74843, 17701, 54926, 108901, 101275, 104091, 114435, 15682, 15120, 95221, 20230, 115079, 21601, 121256, 1811, 66378, 20230, 26130, 30832, 103646, 112973, 5486, 110577, 25359, 16144, 101275, 104091, 103195, 104873, 21403, 97, 117434, 91077, 71289, 115173, 115432, 71634, 39880, 19732, 89753, 33035, 31809, 105525, 114435, 110792, 121101, 29172, 120988, 38641, 9174, 42634, 38248, 121, 16073, 19732, 103223, 33710, 102040, 19694, 5486, 64810, 52884, 16073, 25197, 44971, 52884, 16073, 19732, 39880, 76171, 104774, 108941, 57207, 106240, 5486, 104774, 101198, 37823, 108941, 84477, 19732, 39850, 103857, 115145, 123141, 118823, 102756, 105048, 104309, 110745, 46034, 109713, 91482, 78683, 76739, 107446, 71634, 39880, 19732, 27384, 46034, 115173, 115432, 71634, 39880, 71289, 104873, 21403, 97, 117434, 91077, 110792, 121101, 29172, 120988, 15682, 27384, 112495, 26130, 118146, 43167, 62004, 79721, 9174, 85701, 33503, 15682, 102717, 25827, 112028, 34048, 16556, 5486, 43511, 20230, 16995, 47884, 59739, 32977, 30926, 27452, 15682, 57903, 33541, 29295, 5486, 121101, 29172, 120988, 30512, 103130, 62004, 100481, 47884, 102677, 104468, 5486, 114435, 42016, 101559, 16144, 16906, 111, 102800, 114300, 106106, 107809, 16556, 123726, 113487, 16995, 100481, 47884, 113009, 108882, 110993, 112535, 11883, 16995, 125398, 15120, 118821, 46034, 38574, 103195, 19732, 78244, 58942, 33541, 9174, 25333, 23226, 37656, 5486, 106045, 44416, 100783, 102, 34208, 122603, 106036, 95, 33208, 106222, 16144, 116748, 5486, 33420, 106382, 112919, 43240, 103826, 33208, 54926, 78683, 106240, 104309, 112212, 5486, 67645, 16144, 101275, 98220, 32977, 110577, 25359, 16144, 91482, 76428, 102750, 22398, 123604, 77181, 27384, 112495, 13153, 101544, 29295, 91774, 104526, 62004, 100604, 103846, 5486, 104873, 21403, 97, 91482, 76428, 102750, 22398, 71289, 27384, 123378, 117434, 16144, 122626, 30512, 5486, 114715, 72661, 43240, 119064, 17792, 30512, 72516, 124750, 20230, 43167, 109315, 124122, 43167, 65854, 46034, 38574, 112028, 59739, 103306, 46034, 29295, 105784, 101200, 101983, 103836, 16144, 38641, 9174, 567, 123057, 98220, 37087, 33014, 20230, 58318, 105262, 117375, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 113468, 5486, 122412, 5486, 104873, 21403, 97, 117434, 91077, 5486, 115173, 115432, 71634, 39880, 123160, 110577, 25359, 16144, 101275, 98220, 20230, 58318, 105262, 117375, 102052, 103826, 104680, 26854, 102944, 115991, 33541, 9174, 17039, 28713, 26854, 47000, 21601, 95001, 112603, 114792, 100472, 108901, 101275, 104091, 114435, 110792, 47260, 32131, 103672, 72516, 124750, 29295, 115079, 105262, 100909, 113468, 115847, 103296, 120950, 13177, 104873, 21403, 97, 56051, 117434, 30512, 110968, 17663, 103378, 66383, 95604, 72516, 124750, 16144, 101523, 227, 48634, 15682, 103268, 114485, 15024, 5486, 121648, 15682, 32335, 32977, 115364, 78683, 106240, 20230, 106608, 107290, 124089, 72516, 124750, 30512, 107740, 54926, 101200, 101983, 107462, 47884, 105908, 113727, 102204, 33541, 9174, 51330, 104466, 5486, 111694, 112919, 122635, 114300, 106106, 29295, 106266, 33208, 39926, 47884, 104533, 5486, 102208, 104680, 16144, 114435, 71289, 72516, 124750, 29295, 30591, 33503, 106644, 30369, 46034, 38574, 30512, 114341, 100204, 30369, 101200, 115717, 5486, 67645, 33121, 103378, 163, 35911, 28741, 103082, 62004, 104398, 107188, 106613, 112167, 102669, 105838, 71289, 68759, 38248, 109, 103906, 94550, 102669, 105838, 29295, 121697, 110071, 32149, 108048, 30512, 103350, 23039, 108608, 103378, 16144, 103087, 35330, 71289, 17792, 103234, 114792, 103836, 32149, 102677, 105908, 5486, 105755, 43240, 119064, 121648, 30512, 43167, 62004, 110071, 116421, 107693, 26854, 31634, 72238, 115717, 33541, 9174, 108895, 56051, 5486, 17792, 9458, 53953, 9458, 35330, 102677, 103087, 39084, 30512, 119515, 105469, 20230, 69978, 28713, 123207, 118765, 105933, 102669, 105838, 15682, 110745, 114435, 109860, 127105, 108608, 102944, 116787, 5486, 121568, 106613, 112167, 71289, 16325, 31809, 114435, 29295, 112361, 105933, 106613, 112167, 102669, 105838, 16556, 103359, 108324, 54926, 104468, 16906, 111, 102800, 19732, 117952, 75694, 30369, 30512, 50928, 107515, 1811, 57980, 108680, 16144, 47000, 21601, 95001, 112603, 71289, 111090, 68408, 39880, 30512, 21990, 64121, 20834, 30813, 100604, 48249, 31431, 120268, 30813, 26854, 114435, 16144, 106613, 112167, 117501, 15682, 105755, 16906, 111, 102800, 102944, 101983, 107462, 47884, 123253, 9174, 567, 107929, 108, 101275, 104091, 74843, 17701, 16556, 102321, 75267, 20230, 32018, 62004, 110071, 117434, 21403, 97, 104599, 107118, 108901, 101275, 104091, 74843, 17701, 16144, 117375, 15682, 112672, 117434, 21403, 97, 104599, 16144, 122502, 50834, 24273, 105352, 27384, 112495, 117375, 30512, 82317, 109416, 78434, 1811, 102208, 114435, 29295, 13177, 123726, 108618, 30369, 103846, 102052, 117434, 30512, 104873, 21403, 97, 39926, 110968, 17663, 103378, 77181, 99959, 39850, 36785, 66383, 16144, 122225, 30512, 25580, 29172, 114267, 102669, 105838, 30512, 18655, 30369, 107803, 5486, 102321, 75267, 16556, 122502, 119188, 117434, 21403, 97, 104599, 105352, 77693, 50021, 106608, 16144, 104721, 33208, 29295, 32018, 62004, 110071, 100909, 115717, 33541, 9174, 27452, 116285, 5486, 109713, 91482, 78683, 19732, 121101, 29172, 120988, 56051, 104873, 21403, 97, 117434, 91077, 127303, 104984, 5486, 44309, 117434, 64467, 106839, 71289, 104873, 21403, 97, 121101, 20230, 21601, 107290, 5486, 109713, 91482, 78683, 47043, 16144, 122626, 71289, 110362, 55487, 102924, 16144, 108167, 33671, 105557, 123160, 121101, 32977, 22957, 26854, 17663, 100909, 115717, 33541, 15024, 5486, 75910, 106528, 125175, 118482, 30512, 46034, 115856, 105784, 114435, 19732, 29172, 120988, 56051, 104873, 21403, 97, 117434, 91077, 127303, 104984, 5486, 75910, 106528, 125175, 121101, 16144, 22398, 62903, 33710, 32977, 32018, 62004, 110071, 101200, 101983, 104533, 91763, 123671, 33541, 9174, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 29295, 50021, 33671, 105557, 5486, 103826, 104680, 26854, 101275, 104091, 16144, 114435, 110792, 121101, 29172, 120988, 29295, 76706, 102404, 108176, 108680, 5486, 102321, 75267, 16144, 117434, 21403, 97, 104599, 15682, 123532, 37507, 16144, 106556, 121142, 103470, 5486, 115612, 26854, 30177, 65854, 22398, 62903, 33710, 71289, 53283, 109375, 30512, 96356, 20230, 47000, 105784, 105908, 32018, 62004, 110071, 101200, 108176, 16144, 38641, 9174, 13177, 105994, 15682, 117434, 21403, 97, 104599, 103306, 16144, 121101, 103378, 30512, 71289, 31431, 106956, 66383, 78698, 105262, 17792, 32977, 107991, 32149, 106046, 61689, 29295, 5486, 60358, 16995, 45163, 37507, 15682, 102131, 16995, 100472, 113727, 24273, 77181, 123726, 108618, 107462, 76622, 103470, 109020, 125396, 15682, 45736, 47884, 115847, 117758, 117434, 21403, 97, 104599, 20230, 109215, 26854, 104468, 13177, 117501, 16144, 104721, 33208, 20230, 115289, 122279, 113115, 106608, 54926, 66383, 95604, 64209, 106391, 58942, 36785, 106046, 61689, 9174, 59614, 101860, 15024, 32977, 17905, 61304, 120950, 120987, 29295, 125338, 47884, 104533, 48249, 31431, 107515, 29295, 5486, 108901, 101275, 104091, 114435, 16144, 74843, 17701, 113468, 5486, 112599, 16144, 127749, 126328, 101067, 66201, 32977, 59739, 126660, 105933, 117501, 16144, 104721, 33208, 29295, 115364, 41642, 116310, 16556, 125119, 30369, 102677, 125396, 15682, 57903, 33541, 9174, 58426, 110018, 117084, 127933, 38144, 100604, 104466, 5486, 23226, 107436, 115364, 122502, 119188, 117501, 104088, 74245, 15024, 5486, 114300, 106106, 106266, 33208, 113146, 30512, 123726, 113487, 16995, 100481, 47884, 124122, 85701, 117758, 122502, 50834, 24273, 109853, 116898, 17129, 127637, 100204, 121710, 111842, 78698, 107290, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 1811, 128001, 128000, 7058, 121846, 122481, 198, 2929, 111848, 31634, 72238, 16144, 48706, 116696, 48552, 123011, 62004, 198, 47307, 78983, 114615, 17129, 103296, 5486, 31634, 72238, 16144, 101544, 30813, 29295, 30591, 104984, 48706, 127662, 5486, 123207, 48706, 39926, 100604, 198, 14063, 29, 366, 2025, 1822, 2150, 29, 57207, 91062, 57207, 103906, 524, 17330, 648, 1500, 2025, 29, 366, 2664, 29, 366, 614, 538, 429, 15124, 760, 57207, 91062, 524, 614, 29, 694, 2664, 29, 13303, 15124, 1865, 4222, 100015, 220, 16, 220, 101182, 13303, 9103, 1865, 4222, 100015, 220, 15, 220, 100604, 198, 43514, 26854, 64121, 20230, 111476, 23898, 15124, 1865, 4222, 368, 220, 126194, 13303, 15124, 1865, 4222, 220, 103195, 1811, 128001, 128000, 2, 80050, 47307, 26269, 52591, 52884, 77750, 198, 120824, 99397, 75910, 106528, 19732, 120824, 99397, 52030, 106528, 16144, 121953, 29295, 53283, 31431, 106956, 106609, 90115, 6447, 92877, 123470, 30591, 25827, 15024, 25827, 116510, 7190, 234, 50021, 111813, 102452, 16144, 31809, 101129, 38641, 6447, 37271, 18904, 15682, 120824, 99397, 75910, 106528, 19732, 120824, 99397, 52030, 106528, 16144, 121953, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 118953, 107610, 103927, 103202, 107118, 104736, 53283, 111571, 30512, 108623, 105262, 45736, 106036, 95, 30046, 29295, 20, 21909, 24, 17792, 5486, 26892, 53953, 113468, 15682, 111575, 508, 114754, 119046, 16556, 127331, 33503, 17663, 75910, 106528, 103005, 55228, 231, 102923, 102332, 38641, 1811, 104736, 53283, 111571, 16144, 53283, 109375, 114792, 59739, 105335, 26269, 52591, 29295, 118953, 107610, 103927, 103202, 20230, 40053, 126202, 39926, 75910, 106528, 71289, 37026, 80195, 122521, 117824, 61689, 9174, 104736, 53283, 111571, 102677, 103429, 95221, 30512, 111694, 103836, 105352, 32149, 124233, 121140, 53229, 108630, 112535, 103242, 109519, 102663, 39880, 15682, 33334, 22957, 26854, 107462, 107515, 1811, 117355, 27479, 16144, 104736, 53283, 111571, 16144, 126513, 30591, 109709, 103242, 109519, 28190, 16144, 102663, 39880, 15682, 109215, 103470, 5486, 103429, 95221, 16144, 116748, 30512, 126128, 44416, 54926, 113009, 119046, 104654, 30512, 25580, 28190, 20230, 110408, 15024, 118158, 83799, 101983, 103836, 55031, 123253, 32149, 1811, 119627, 71289, 15682, 31431, 103242, 109519, 102663, 39880, 15682, 109215, 102677, 30926, 16556, 120824, 99397, 52030, 106528, 30512, 19732, 31431, 16995, 104028, 118953, 107610, 103927, 103202, 32977, 20834, 38144, 50834, 79721, 9174, 37026, 110362, 20230, 45736, 106036, 95, 112919, 24273, 125001, 104533, 114652, 108870, 117657, 104468, 13177, 120824, 99397, 75910, 106528, 10646, 125651, 5486, 120824, 99397, 52030, 106528, 102677, 104468, 30591, 109709, 104655, 50834, 107515, 109900, 77181, 13177, 120824, 99397, 75910, 106528, 66383, 13177, 120824, 99397, 52030, 106528, 117503, 121953, 15682, 99849, 123253, 32149, 9174, 110176, 24273, 107173, 13177, 120824, 99397, 10646, 59739, 109709, 46729, 102416, 120824, 104028, 16144, 102052, 104721, 116547, 15682, 124897, 29295, 5486, 75910, 106528, 102677, 104468, 103927, 103202, 108768, 33710, 80805, 11972, 19732, 127173, 104028, 120824, 99397, 75910, 106528, 102351, 29295, 54926, 117876, 38641, 1811, 103927, 103202, 108768, 33710, 80805, 11972, 102052, 106444, 103087, 35083, 16144, 75910, 106528, 103005, 55228, 231, 101559, 71289, 102208, 104091, 16144, 101772, 23951, 30512, 23951, 35287, 56051, 102944, 29295, 69978, 125655, 114363, 103722, 103087, 35083, 38641, 9174, 120824, 99397, 75910, 106528, 16144, 117876, 44915, 15682, 5486, 118953, 107610, 103927, 103202, 16144, 104157, 101987, 112919, 102456, 30926, 9458, 17701, 118959, 9458, 61056, 14888, 226, 123160, 111006, 75910, 103129, 124001, 107691, 16995, 53953, 71289, 104873, 22649, 9458, 19012, 225, 21418, 9458, 108914, 102754, 107, 102083, 100472, 104654, 16144, 110238, 103129, 5486, 125175, 123357, 32938, 113468, 15682, 118953, 107610, 103927, 103202, 16144, 104157, 101987, 30046, 29295, 33035, 94923, 16144, 124122, 37705, 109169, 126130, 22957, 26854, 30297, 30926, 32977, 57903, 33541, 1811, 120824, 99397, 75910, 106528, 15682, 5486, 75910, 106528, 33563, 117126, 16144, 102663, 39880, 57326, 93488, 20230, 75146, 109669, 102532, 125175, 104908, 84389, 33541, 9174, 120824, 99397, 52030, 106528, 123410, 116537, 5486, 52030, 106528, 104599, 71289, 103329, 52030, 106528, 104599, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 37823, 102040, 91482, 37823, 60868, 113649, 117718, 22649, 48864, 109519, 25333, 101559, 71289, 19967, 101275, 109519, 25333, 101559, 71289, 78244, 102158, 109519, 25333, 101559, 5486, 102717, 32149, 105352, 109215, 29295, 30591, 104984, 33563, 105298, 122924, 71289, 103129, 106518, 122924, 29295, 120988, 78183, 30369, 117876, 38641, 9174, 120824, 99397, 52030, 106528, 16144, 117876, 44915, 15682, 107740, 112919, 102456, 30926, 9458, 17701, 118959, 9458, 61056, 14888, 226, 123160, 111006, 75910, 103129, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 119627, 103242, 109519, 117120, 22324, 119279, 22957, 26854, 105262, 112973, 120098, 38641, 1811, 27452, 116285, 114218, 16144, 33420, 109177, 5486, 107918, 101860, 33121, 16144, 116876, 22324, 5486, 91939, 225, 103950, 9458, 28542, 73597, 112, 9458, 17792, 49792, 105324, 107246, 32648, 16144, 40452, 104309, 38641, 1811, 22649, 48864, 109519, 25333, 101559, 71289, 19967, 101275, 109519, 25333, 101559, 71289, 78244, 102158, 109519, 25333, 101559, 102052, 37823, 102040, 91482, 37823, 125175, 29295, 101682, 76622, 102204, 33541, 9174, 60358, 8107, 77181, 48915, 37507, 120761, 109519, 16144, 102717, 111201, 5486, 120824, 99397, 120761, 109519, 71289, 33035, 32938, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 113883, 125175, 126130, 22957, 26854, 30297, 107167, 122842, 32977, 120955, 127145, 1811, 117382, 15682, 120824, 99397, 102083, 100472, 33503, 36668, 71005, 103242, 29295, 104198, 120761, 117158, 115856, 105784, 104699, 110706, 67016, 25197, 126989, 29295, 104435, 16144, 119627, 5486, 60358, 119400, 15682, 52030, 106528, 104599, 29295, 40053, 126202, 103792, 30926, 16144, 83747, 100604, 118953, 107610, 103927, 103202, 19732, 103242, 109519, 89046, 120988, 30512, 103792, 107167, 122842, 29295, 43240, 115737, 76947, 50834, 79721, 9174, 44309, 117434, 40452, 123410, 105352, 5486, 103309, 56965, 71289, 105677, 9080, 104309, 108057, 105047, 101918, 30512, 105324, 104369, 67016, 46034, 121697, 29295, 104435, 37271, 103296, 20230, 57106, 103854, 104533, 5486, 52030, 106528, 104599, 104309, 29295, 102532, 124089, 101200, 117084, 118953, 107610, 103927, 103202, 32977, 64209, 104195, 16995, 125651, 9174, 112950, 21990 ]
[ 8239, 112, 122502, 66870, 77181, 115515, 74482, 15682, 104736, 53283, 111571, 45736, 106036, 95, 30046, 121142, 103470, 108502, 104698, 30046, 32977, 115079, 107290, 105898, 102677, 118733, 104736, 53283, 111571, 118953, 107610, 103927, 103202, 19732, 102663, 39880, 103927, 103202, 30512, 15120, 24186, 33208, 119607, 102677, 91875, 50834, 125334, 38144, 105898, 117840, 1811, 33541, 33541, 75910, 106528, 121142, 103470, 52030, 106528, 32977, 32018, 62004, 110071, 113146, 117084, 105898, 113334, 38641, 109900, 103378, 118953, 107610, 103927, 103202, 29295, 106222, 55031, 32018, 62004, 125398, 102677, 110322, 15024, 123253, 9174, 37271, 18904, 15682, 71689, 115717, 33541, 9174, 92877, 17792, 103927, 103202, 9458, 75910, 106528, 102923, 102332, 102647, 102802, 16556, 33334, 110482, 31431, 16556, 127564, 92877, 123470, 30591, 25827, 15024, 25827, 116510, 7190, 234, 50021, 111813, 102452, 103296, 33334, 95221, 117355, 20230, 48154, 89046, 117139, 72315, 1811, 128001, 128000, 567, 106773, 112164, 38248, 101, 123581, 114676, 16144, 32018, 17792, 101427, 122, 70141, 198, 60868, 112164, 38248, 101, 123581, 114676, 15682, 5486, 107740, 54926, 108436, 107430, 76739, 78767, 78349, 52414, 16556, 32018, 17792, 9039, 20230, 27384, 112495, 104364, 115991, 33541, 1811, 76739, 123581, 114676, 30512, 15682, 100204, 62004, 114267, 964, 116690, 20230, 104195, 16995, 108436, 107430, 76739, 78767, 78349, 52414, 120332, 29295, 64889, 61994, 20230, 43240, 119064, 32018, 17792, 30512, 108623, 107290, 108086, 5486, 60868, 112164, 38248, 101, 123581, 114676, 55031, 103283, 16144, 107430, 104091, 102416, 108436, 107430, 54926, 104983, 105352, 107740, 125545, 9174, 103350, 104983, 20230, 60868, 112164, 38248, 101, 123581, 114676, 16144, 32018, 17792, 55031, 121270, 108968, 118935, 11883, 16144, 110698, 42506, 50021, 75267, 30512, 106839, 50834, 20834, 39926, 64121, 104533, 123334, 15682, 31431, 103856, 16995, 38574, 106090, 16556, 8107, 110226, 29295, 45736, 47884, 109020, 102677, 113702, 115717, 79721, 109807, 50021, 75267, 15682, 5486, 106613, 111186, 30046, 16556, 2636, 110743, 55031, 5067, 110743, 5486, 39442, 106613, 111186, 30046, 16556, 3443, 110743, 55031, 2636, 110743, 113314, 38641, 9174, 110698, 42506, 16144, 27452, 103306, 123680, 102639, 100934, 102944, 104088, 38144, 64121, 104533, 5486, 20, 8107, 32977, 106613, 111186, 126693, 7007, 110743, 9458, 4728, 110743, 113314, 16144, 110226, 17701, 30512, 50928, 100934, 114754, 127181, 101427, 122, 70141, 115991, 33541, 9174, 8107, 106036, 95, 114050, 32977, 5486, 966, 31640, 25580, 103268, 16556, 58426, 113314, 16144, 8107, 110226, 117282, 117840, 1811, 16325, 108968, 118935, 11883, 16556, 5486, 117382, 16144, 107430, 75267, 126036, 126574, 8107, 110226, 30512, 101462, 247, 30297, 109335, 5486, 114392, 88367, 123253, 9174, 567, 106773, 112164, 38248, 101, 123581, 114676, 111363, 108436, 107430, 112415, 16144, 120098, 198, 14711, 123038, 48915, 19732, 33014, 48634, 104284, 109972, 198, 76739, 123581, 114676, 102677, 19732, 5486, 68408, 115592, 102756, 105048, 26854, 25197, 126989, 107407, 32149, 110241, 33121, 107515, 1811, 105184, 111201, 964, 116690, 16144, 76739, 123581, 114676, 16144, 117876, 15682, 68408, 115592, 102756, 105048, 29295, 127181, 119627, 5486, 60868, 112164, 38248, 101, 123581, 114676, 15682, 37689, 48915, 19732, 33014, 48634, 104284, 109972, 38641, 1811, 60868, 112164, 115247, 55487, 101911, 71289, 20251, 32131, 26269, 119557, 117824, 30297, 102677, 28190, 72661, 33014, 123457, 33655, 61689, 29295, 5486, 60868, 112164, 38248, 101, 123581, 114676, 29295, 33014, 48634, 117876, 104856, 103836, 15120, 87217, 16144, 114667, 29295, 106116, 8239, 112, 122502, 82973, 20230, 57903, 33541, 9174, 108695, 103732, 104984, 5486, 16, 9080, 868, 82973, 8239, 112, 122502, 36785, 102677, 115789, 114392, 113727, 110071, 16144, 38641, 1811, 33563, 106154, 9458, 110423, 103984, 121101, 30512, 49988, 110731, 105933, 107803, 102052, 5486, 103309, 114731, 71289, 105677, 9080, 20834, 114731, 32977, 43240, 104680, 57903, 33541, 9174, 33563, 106154, 121101, 71289, 110423, 103984, 121101, 102677, 104468, 5486, 40053, 20230, 112832, 32149, 29295, 71289, 33503, 123207, 105110, 100604, 117876, 38641, 1811, 112832, 32977, 16995, 100604, 122756, 16937, 77913, 40862, 29295, 102404, 21990, 126693, 110745, 112495, 125173, 104698, 125334, 38144, 103801, 61689, 109807, 103846, 5486, 103309, 114731, 32977, 105677, 9080, 20834, 114731, 32977, 101182, 16144, 38641, 9174, 105677, 9080, 20834, 114731, 29295, 103911, 23187, 84389, 100481, 103470, 111243, 5486, 29220, 102803, 39880, 52414, 55031, 13177, 60868, 112164, 11972, 29295, 30358, 16995, 66383, 95604, 39850, 64178, 29295, 37507, 104984, 5486, 113385, 102012, 31958, 124001, 103359, 117120, 16144, 113009, 117876, 30512, 21105, 103, 118145, 105110, 100604, 115789, 57903, 33541, 1811, 60868, 112164, 38248, 101, 123581, 114676, 15682, 114318, 111243, 106266, 102781, 38641, 9174, 964, 101275, 98220, 16144, 76739, 123581, 114676, 102677, 25197, 126989, 126328, 126929, 106627, 103468, 19732, 78244, 114598, 126521, 108680, 5486, 33014, 48634, 29295, 109215, 19732, 84389, 33541, 9174, 108436, 107430, 30046, 29295, 127181, 101275, 98220, 126529, 119627, 36896, 33014, 126235, 107294, 16995, 100481, 124324, 66383, 95604, 114667, 16556, 108436, 107430, 123410, 114754, 43240, 117714, 38641, 1811, 108436, 107430, 112415, 123410, 105110, 5486, 33014, 48634, 107294, 16995, 100481, 105784, 32149, 104405, 32149, 104088, 23187, 62004, 17129, 109954, 124845, 5486, 33014, 48634, 20230, 37026, 22023, 107407, 105879, 30591, 104984, 108048, 30512, 84851, 109768, 50834, 17129, 109954, 9174, 33014, 48634, 102052, 37026, 22023, 107407, 55031, 5486, 103309, 114731, 71289, 105677, 9080, 20834, 114731, 72661, 117271, 108608, 1811, 33014, 48634, 28190, 30512, 114667, 20230, 121355, 109315, 109335, 100604, 19732, 53283, 104984, 5486, 118935, 11883, 54926, 110366, 32977, 51385, 64209, 125545, 9174, 14711, 68042, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 30512, 39880, 70563, 64178, 119607, 198, 60868, 112164, 38248, 101, 123581, 114676, 15682, 5486, 33014, 48634, 104284, 109972, 119627, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 32977, 32018, 62004, 102204, 33541, 1811, 29220, 102803, 39880, 52414, 30591, 76947, 16144, 117876, 26854, 105879, 5486, 60868, 112164, 11972, 53283, 109375, 71289, 4977, 16144, 53283, 109375, 17663, 33503, 126758, 105933, 29220, 102803, 39880, 52414, 20230, 5486, 78183, 107277, 126172, 47884, 60868, 112164, 38248, 115, 120744, 16144, 122984, 30512, 21105, 103, 118145, 26854, 31431, 107515, 9174, 20251, 32131, 112193, 29295, 102404, 21990, 127564, 29220, 102803, 39880, 52414, 15682, 127408, 29295, 31431, 33541, 15024, 5486, 107202, 40474, 71289, 50021, 111813, 29295, 37507, 30369, 102083, 100472, 115789, 127181, 38641, 109807, 104983, 20230, 5486, 60868, 112164, 38248, 101, 123581, 114676, 29295, 117271, 21105, 103, 118145, 105110, 100604, 103846, 5486, 29220, 102803, 39880, 52414, 19732, 35757, 113764, 20230, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 33503, 123207, 26854, 31431, 107515, 9174, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 19732, 122984, 48634, 16144, 45736, 30813, 30512, 110322, 31958, 54926, 76739, 70563, 102741, 65575, 104309, 29295, 30591, 104984, 5486, 102099, 39880, 70563, 64178, 20230, 72661, 109466, 31431, 104526, 104127, 64121, 104533, 103424, 118544, 110241, 33121, 107515, 101832, 9174, 14711, 111724, 106613, 111186, 30046, 29295, 30926, 112772, 53283, 76947, 33334, 47884, 125231, 61633, 28542, 198, 126843, 119869, 20230, 5486, 32018, 114754, 61075, 72368, 12554, 237, 20230, 120766, 103792, 120266, 61633, 103801, 109954, 1811, 110241, 32977, 106848, 120332, 16556, 60868, 112164, 38248, 101, 123581, 114676, 20230, 109834, 103868, 107407, 105879, 30591, 104984, 5486, 111344, 117158, 100481, 107188, 118145, 105110, 100604, 106592, 37689, 109375, 54926, 109215, 115991, 33541, 127211, 33014, 32018, 107707, 23, 111017, 113314, 15682, 61075, 72368, 12554, 237, 117083, 19732, 78698, 107290, 72315, 9174, 106848, 19732, 111344, 77181, 5486, 121819, 105987, 109904, 32018, 17792, 9039, 16144, 104364, 115991, 5486, 107803, 113468, 15682, 15120, 14558, 32977, 91774, 59739, 124403, 115789, 57903, 58942, 33541, 9174, 33671, 20230, 5486, 60868, 112164, 38248, 101, 123581, 114676, 15682, 16937, 106045, 108630, 26854, 104654, 30512, 37705, 30369, 100909, 108176, 102677, 28542, 20230, 95221, 116825, 76622, 17129, 109954, 9174, 1187, 82973, 57207, 112508, 44416, 16556, 117876, 123410, 108695, 29295, 43240, 47884, 5486, 103309, 114731, 71289, 105677, 9080, 20834, 114731, 32977, 57903, 33541, 1811, 108618, 101275, 18904, 9039, 32977, 43240, 47884, 112160, 18904, 16144, 108618, 101275, 82973, 32977, 101544, 16995, 38641, 1811, 104654, 29295, 104405, 120837, 16937, 106045, 108630, 115717, 5486, 16937, 99046, 224, 21990, 117084, 103801, 118544, 101832, 107515, 1811, 21105, 96, 107277, 19732, 102099, 40452, 29295, 108608, 101200, 5486, 64209, 106391, 58942, 30512, 39926, 33334, 50834, 17129, 109954, 1811, 128001, 128000, 111926, 16144, 108134, 66953, 32131, 76739, 103906, 11972, 120706, 105321, 32149, 16556, 114652, 71289, 103836, 102456, 44971, 89154, 9174, 118899, 91774, 100481, 38144, 105104, 106046, 100472, 105908, 101182, 9174, 30591, 33121, 5486, 36785, 102334, 16995, 64121, 103171, 112361, 100909, 119852, 100604, 108995, 32149, 95532, 567, 104975, 38093, 87177, 29295, 1041, 102158, 16556, 108608, 105110, 198, 11881, 242, 52371, 42, 16556, 36896, 1041, 102158, 16556, 105335, 84477, 6447, 83947, 38093, 87177, 66383, 95604, 120706, 29295, 71289, 106358, 9174, 58426, 13372, 16144, 121640, 5486, 83947, 38093, 87177, 16144, 118430, 20834, 110904, 102158, 1041, 102158, 124905, 76947, 38093, 87177, 123410, 102083, 100472, 44915, 36785, 9174, 40265, 39177, 114115, 17792, 21990, 16556, 101682, 111186, 53508, 231, 104195, 89151, 42891, 90620, 16325, 103351, 112418, 15682, 5486, 9080, 104680, 58911, 119775, 110904, 102158, 30512, 109163, 61304, 103792, 114654, 29295, 5486, 103350, 15682, 1041, 102158, 16556, 16995, 105784, 102677, 120266, 127852, 107666, 114475, 107674, 112854, 58942, 107407, 9174, 15120, 24273, 16556, 102456, 44971, 89154, 1811, 111926, 16556, 91774, 100604, 9080, 120937, 102677, 104699, 110706, 114652, 71289, 103836, 29295, 120953, 32977, 64121, 103171, 112361, 106592, 78244, 103836, 116499, 54926, 9174, 108064, 120885, 76739, 91482, 15682, 115507, 115507, 36785, 15024, 5486, 107079, 21980, 223, 15682, 30591, 105104, 115032, 15024, 5486, 22398, 25197, 109089, 15682, 110631, 120195, 100604, 9174, 80805, 102514, 16073, 116825, 32149, 62004, 81219, 112418, 105352, 108608, 16144, 111769, 108995, 32149, 9174, 102616, 16144, 99849, 95598, 117913, 17792, 19732, 33035, 100204, 40862, 30297, 105908, 108608, 83947, 38093, 87177, 29295, 1041, 102158, 16556, 108608, 105272, 9174, 102456, 44971, 89154, 15682, 5486, 605, 102158, 16556, 104405, 108995, 9174, 567, 125389, 44971, 89154, 118430, 20834, 102756, 65575, 115813, 71634, 605, 198, 102677, 118733, 5486, 126843, 15682, 102456, 44971, 89154, 103732, 47884, 33655, 78183, 115032, 112690, 16144, 102832, 71634, 605, 30512, 104873, 115694, 64121, 30369, 120266, 56051, 9174, 101182, 16, 111299, 56965, 5486, 102456, 44971, 89154, 30512, 114652, 71289, 107462, 120550, 120706, 30512, 108565, 55723, 9174, 86348, 16556, 1135, 14558, 16144, 102456, 44971, 89154, 29295, 43167, 117864, 105879, 108048, 30512, 104655, 50834, 125119, 39926, 110904, 102158, 20230, 17620, 50338, 15024, 5486, 20656, 20230, 123011, 107436, 43167, 82420, 56051, 9174, 58426, 113702, 29295, 117896, 9174, 567, 125389, 44971, 89154, 16144, 108729, 15682, 13177, 126699, 108948, 16995, 102800, 76864, 198, 126843, 26130, 30832, 56051, 16995, 112973, 16, 25129, 19732, 17, 25129, 9174, 61826, 108680, 32977, 102181, 102334, 29295, 110371, 83687, 15682, 1135, 14558, 16144, 102456, 44971, 89154, 107809, 113245, 120955, 18904, 9039, 36785, 1811, 102717, 19732, 124592, 16144, 102944, 16556, 36896, 30297, 21909, 25827, 6447, 33334, 16995, 102800, 76864, 19732, 78244, 106358, 100909, 108176, 9174, 13177, 104734, 102465, 74396, 10646, 71289, 13177, 17129, 95604, 21909, 76864, 104309, 117119, 32149, 118028, 76428, 96452, 114615, 21405, 102321, 30512, 32018, 62004, 33503, 30369, 25197, 126989, 32977, 105693, 102456, 44971, 89154, 109846, 5486, 103350, 15682, 58426, 108729, 15682, 72238, 74245, 20230, 118133, 16995, 102800, 76864, 19732, 112844, 100909, 103351, 9174, 11881, 242, 5486, 105268, 46034, 16144, 117813, 17792, 121944, 102456, 44971, 89154, 16556, 13177, 126699, 6447, 33334, 16995, 102800, 76864, 19732, 115791, 110229, 36896, 125821, 21405, 102321, 100604, 25827, 121867, 76864, 102083, 100204, 125398, 16144, 104088, 28713, 105908, 105693, 29295, 108149, 33121, 16556, 103424, 102518, 105272, 9174, 110241, 17792, 21990, 16556, 16, 27479, 103378, 107507, 91062, 68759, 57207, 107060, 29295, 33655, 58942, 104533, 127564, 108149, 16144, 126101, 114941, 76947, 103031, 20230, 51330, 108134, 30512, 108044, 107290, 122765, 106956, 9174, 567, 123038, 48915, 26854, 103214, 64121, 114146, 39276, 16144, 125764, 53953, 20230, 102924, 60632, 26854, 13177, 66953, 119930, 29295, 104712, 111329, 18, 25129, 88852, 15682, 115847, 108422, 102456, 44971, 89154, 6447, 102677, 33334, 26854, 100204, 64121, 16144, 102756, 65575, 29295, 105360, 126559, 9174, 67645, 33121, 32977, 76622, 42891, 108895, 26854, 118430, 27479, 16556, 33655, 123671, 100481, 38144, 115847, 108680, 103296, 107118, 91763, 78183, 104435, 9174, 16325, 72661, 18, 25129, 16144, 13177, 110631, 16995, 9458, 110631, 64121, 10646, 15682, 19, 17620, 16144, 16, 71689, 16144, 102456, 44971, 89154, 16556, 33655, 78183, 115032, 32307, 27327, 108005, 115, 31431, 36785, 9174, 107943, 16325, 16556, 5486, 24, 25129, 109156, 103836, 13177, 115412, 115412, 19732, 18028, 18028, 16144, 66953, 119930, 29295, 104712, 66383, 95604, 112690, 102052, 30591, 109709, 26854, 100204, 64121, 29295, 104435, 9174, 51330, 112690, 36896, 118544, 17663, 64121, 17129, 25827, 10646, 71289, 13177, 109933, 25197, 78683, 106240, 78459, 62903, 113155, 38248, 105, 11972, 10646, 104309, 5486, 120065, 124500, 100472, 103214, 64121, 114146, 16144, 125764, 53953, 16556, 43240, 47884, 33655, 123671, 101732, 9174, 102456, 103234, 110904, 25129, 16556, 91774, 104533, 127177, 102756, 65575, 72661, 21405, 102321, 108608, 29295, 5486, 108895, 16995, 100472, 122735, 16144, 120098, 15682, 30591, 33121, 19732, 77693, 30512, 103214, 64121, 114146, 28713, 102677, 110229, 26854, 105879, 36896, 66953, 119930, 29295, 104712, 66383, 95604, 21405, 102321, 29295, 30358, 104734, 107001, 105272, 9174, 605, 102158, 16556, 103082, 102131, 198, 33671, 20230, 115847, 33503, 605, 102159, 16144, 112690, 16556, 67645, 33121, 103378, 16144, 102456, 44971 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8239, 112, 122502, 66870, 77181, 115515, 74482, 15682, 104736, 53283, 111571, 45736, 106036, 95, 30046, 121142, 103470, 108502, 104698, 30046, 32977, 115079, 107290, 105898, 102677, 118733, 104736, 53283, 111571, 118953, 107610, 103927, 103202, 19732, 102663, 39880, 103927, 103202, 30512, 15120, 24186, 33208, 119607, 102677, 91875, 50834, 125334, 38144, 105898, 117840, 1811, 33541, 33541, 75910, 106528, 121142, 103470, 52030, 106528, 32977, 32018, 62004, 110071, 113146, 117084, 105898, 113334, 38641, 109900, 103378, 118953, 107610, 103927, 103202, 29295, 106222, 55031, 32018, 62004, 125398, 102677, 110322, 15024, 123253, 9174, 37271, 18904, 15682, 71689, 115717, 33541, 9174, 92877, 17792, 103927, 103202, 9458, 75910, 106528, 102923, 102332, 102647, 102802, 16556, 33334, 110482, 31431, 16556, 127564, 92877, 123470, 30591, 25827, 15024, 25827, 116510, 7190, 234, 50021, 111813, 102452, 103296, 33334, 95221, 117355, 20230, 48154, 89046, 117139, 72315, 1811, 128001, 128000, 567, 106773, 112164, 38248, 101, 123581, 114676, 16144, 32018, 17792, 101427, 122, 70141, 198, 60868, 112164, 38248, 101, 123581, 114676, 15682, 5486, 107740, 54926, 108436, 107430, 76739, 78767, 78349, 52414, 16556, 32018, 17792, 9039, 20230, 27384, 112495, 104364, 115991, 33541, 1811, 76739, 123581, 114676, 30512, 15682, 100204, 62004, 114267, 964, 116690, 20230, 104195, 16995, 108436, 107430, 76739, 78767, 78349, 52414, 120332, 29295, 64889, 61994, 20230, 43240, 119064, 32018, 17792, 30512, 108623, 107290, 108086, 5486, 60868, 112164, 38248, 101, 123581, 114676, 55031, 103283, 16144, 107430, 104091, 102416, 108436, 107430, 54926, 104983, 105352, 107740, 125545, 9174, 103350, 104983, 20230, 60868, 112164, 38248, 101, 123581, 114676, 16144, 32018, 17792, 55031, 121270, 108968, 118935, 11883, 16144, 110698, 42506, 50021, 75267, 30512, 106839, 50834, 20834, 39926, 64121, 104533, 123334, 15682, 31431, 103856, 16995, 38574, 106090, 16556, 8107, 110226, 29295, 45736, 47884, 109020, 102677, 113702, 115717, 79721, 109807, 50021, 75267, 15682, 5486, 106613, 111186, 30046, 16556, 2636, 110743, 55031, 5067, 110743, 5486, 39442, 106613, 111186, 30046, 16556, 3443, 110743, 55031, 2636, 110743, 113314, 38641, 9174, 110698, 42506, 16144, 27452, 103306, 123680, 102639, 100934, 102944, 104088, 38144, 64121, 104533, 5486, 20, 8107, 32977, 106613, 111186, 126693, 7007, 110743, 9458, 4728, 110743, 113314, 16144, 110226, 17701, 30512, 50928, 100934, 114754, 127181, 101427, 122, 70141, 115991, 33541, 9174, 8107, 106036, 95, 114050, 32977, 5486, 966, 31640, 25580, 103268, 16556, 58426, 113314, 16144, 8107, 110226, 117282, 117840, 1811, 16325, 108968, 118935, 11883, 16556, 5486, 117382, 16144, 107430, 75267, 126036, 126574, 8107, 110226, 30512, 101462, 247, 30297, 109335, 5486, 114392, 88367, 123253, 9174, 567, 106773, 112164, 38248, 101, 123581, 114676, 111363, 108436, 107430, 112415, 16144, 120098, 198, 14711, 123038, 48915, 19732, 33014, 48634, 104284, 109972, 198, 76739, 123581, 114676, 102677, 19732, 5486, 68408, 115592, 102756, 105048, 26854, 25197, 126989, 107407, 32149, 110241, 33121, 107515, 1811, 105184, 111201, 964, 116690, 16144, 76739, 123581, 114676, 16144, 117876, 15682, 68408, 115592, 102756, 105048, 29295, 127181, 119627, 5486, 60868, 112164, 38248, 101, 123581, 114676, 15682, 37689, 48915, 19732, 33014, 48634, 104284, 109972, 38641, 1811, 60868, 112164, 115247, 55487, 101911, 71289, 20251, 32131, 26269, 119557, 117824, 30297, 102677, 28190, 72661, 33014, 123457, 33655, 61689, 29295, 5486, 60868, 112164, 38248, 101, 123581, 114676, 29295, 33014, 48634, 117876, 104856, 103836, 15120, 87217, 16144, 114667, 29295, 106116, 8239, 112, 122502, 82973, 20230, 57903, 33541, 9174, 108695, 103732, 104984, 5486, 16, 9080, 868, 82973, 8239, 112, 122502, 36785, 102677, 115789, 114392, 113727, 110071, 16144, 38641, 1811, 33563, 106154, 9458, 110423, 103984, 121101, 30512, 49988, 110731, 105933, 107803, 102052, 5486, 103309, 114731, 71289, 105677, 9080, 20834, 114731, 32977, 43240, 104680, 57903, 33541, 9174, 33563, 106154, 121101, 71289, 110423, 103984, 121101, 102677, 104468, 5486, 40053, 20230, 112832, 32149, 29295, 71289, 33503, 123207, 105110, 100604, 117876, 38641, 1811, 112832, 32977, 16995, 100604, 122756, 16937, 77913, 40862, 29295, 102404, 21990, 126693, 110745, 112495, 125173, 104698, 125334, 38144, 103801, 61689, 109807, 103846, 5486, 103309, 114731, 32977, 105677, 9080, 20834, 114731, 32977, 101182, 16144, 38641, 9174, 105677, 9080, 20834, 114731, 29295, 103911, 23187, 84389, 100481, 103470, 111243, 5486, 29220, 102803, 39880, 52414, 55031, 13177, 60868, 112164, 11972, 29295, 30358, 16995, 66383, 95604, 39850, 64178, 29295, 37507, 104984, 5486, 113385, 102012, 31958, 124001, 103359, 117120, 16144, 113009, 117876, 30512, 21105, 103, 118145, 105110, 100604, 115789, 57903, 33541, 1811, 60868, 112164, 38248, 101, 123581, 114676, 15682, 114318, 111243, 106266, 102781, 38641, 9174, 964, 101275, 98220, 16144, 76739, 123581, 114676, 102677, 25197, 126989, 126328, 126929, 106627, 103468, 19732, 78244, 114598, 126521, 108680, 5486, 33014, 48634, 29295, 109215, 19732, 84389, 33541, 9174, 108436, 107430, 30046, 29295, 127181, 101275, 98220, 126529, 119627, 36896, 33014, 126235, 107294, 16995, 100481, 124324, 66383, 95604, 114667, 16556, 108436, 107430, 123410, 114754, 43240, 117714, 38641, 1811, 108436, 107430, 112415, 123410, 105110, 5486, 33014, 48634, 107294, 16995, 100481, 105784, 32149, 104405, 32149, 104088, 23187, 62004, 17129, 109954, 124845, 5486, 33014, 48634, 20230, 37026, 22023, 107407, 105879, 30591, 104984, 108048, 30512, 84851, 109768, 50834, 17129, 109954, 9174, 33014, 48634, 102052, 37026, 22023, 107407, 55031, 5486, 103309, 114731, 71289, 105677, 9080, 20834, 114731, 72661, 117271, 108608, 1811, 33014, 48634, 28190, 30512, 114667, 20230, 121355, 109315, 109335, 100604, 19732, 53283, 104984, 5486, 118935, 11883, 54926, 110366, 32977, 51385, 64209, 125545, 9174, 14711, 68042, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 30512, 39880, 70563, 64178, 119607, 198, 60868, 112164, 38248, 101, 123581, 114676, 15682, 5486, 33014, 48634, 104284, 109972, 119627, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 32977, 32018, 62004, 102204, 33541, 1811, 29220, 102803, 39880, 52414, 30591, 76947, 16144, 117876, 26854, 105879, 5486, 60868, 112164, 11972, 53283, 109375, 71289, 4977, 16144, 53283, 109375, 17663, 33503, 126758, 105933, 29220, 102803, 39880, 52414, 20230, 5486, 78183, 107277, 126172, 47884, 60868, 112164, 38248, 115, 120744, 16144, 122984, 30512, 21105, 103, 118145, 26854, 31431, 107515, 9174, 20251, 32131, 112193, 29295, 102404, 21990, 127564, 29220, 102803, 39880, 52414, 15682, 127408, 29295, 31431, 33541, 15024, 5486, 107202, 40474, 71289, 50021, 111813, 29295, 37507, 30369, 102083, 100472, 115789, 127181, 38641, 109807, 104983, 20230, 5486, 60868, 112164, 38248, 101, 123581, 114676, 29295, 117271, 21105, 103, 118145, 105110, 100604, 103846, 5486, 29220, 102803, 39880, 52414, 19732, 35757, 113764, 20230, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 33503, 123207, 26854, 31431, 107515, 9174, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 19732, 122984, 48634, 16144, 45736, 30813, 30512, 110322, 31958, 54926, 76739, 70563, 102741, 65575, 104309, 29295, 30591, 104984, 5486, 102099, 39880, 70563, 64178, 20230, 72661, 109466, 31431, 104526, 104127, 64121, 104533, 103424, 118544, 110241, 33121, 107515, 101832, 9174, 14711, 111724, 106613, 111186, 30046, 29295, 30926, 112772, 53283, 76947, 33334, 47884, 125231, 61633, 28542, 198, 126843, 119869, 20230, 5486, 32018, 114754, 61075, 72368, 12554, 237, 20230, 120766, 103792, 120266, 61633, 103801, 109954, 1811, 110241, 32977, 106848, 120332, 16556, 60868, 112164, 38248, 101, 123581, 114676, 20230, 109834, 103868, 107407, 105879, 30591, 104984, 5486, 111344, 117158, 100481, 107188, 118145, 105110, 100604, 106592, 37689, 109375, 54926, 109215, 115991, 33541, 127211, 33014, 32018, 107707, 23, 111017, 113314, 15682, 61075, 72368, 12554, 237, 117083, 19732, 78698, 107290, 72315, 9174, 106848, 19732, 111344, 77181, 5486, 121819, 105987, 109904, 32018, 17792, 9039, 16144, 104364, 115991, 5486, 107803, 113468, 15682, 15120, 14558, 32977, 91774, 59739, 124403, 115789, 57903, 58942, 33541, 9174, 33671, 20230, 5486, 60868, 112164, 38248, 101, 123581, 114676, 15682, 16937, 106045, 108630, 26854, 104654, 30512, 37705, 30369, 100909, 108176, 102677, 28542, 20230, 95221, 116825, 76622, 17129, 109954, 9174, 1187, 82973, 57207, 112508, 44416, 16556, 117876, 123410, 108695, 29295, 43240, 47884, 5486, 103309, 114731, 71289, 105677, 9080, 20834, 114731, 32977, 57903, 33541, 1811, 108618, 101275, 18904, 9039, 32977, 43240, 47884, 112160, 18904, 16144, 108618, 101275, 82973, 32977, 101544, 16995, 38641, 1811, 104654, 29295, 104405, 120837, 16937, 106045, 108630, 115717, 5486, 16937, 99046, 224, 21990, 117084, 103801, 118544, 101832, 107515, 1811, 21105, 96, 107277, 19732, 102099, 40452, 29295, 108608, 101200, 5486, 64209, 106391, 58942, 30512, 39926, 33334, 50834, 17129, 109954, 1811, 128001, 128000, 111926, 16144, 108134, 66953, 32131, 76739, 103906, 11972, 120706, 105321, 32149, 16556, 114652, 71289, 103836, 102456, 44971, 89154, 9174, 118899, 91774, 100481, 38144, 105104, 106046, 100472, 105908, 101182, 9174, 30591, 33121, 5486, 36785, 102334, 16995, 64121, 103171, 112361, 100909, 119852, 100604, 108995, 32149, 95532, 567, 104975, 38093, 87177, 29295, 1041, 102158, 16556, 108608, 105110, 198, 11881, 242, 52371, 42, 16556, 36896, 1041, 102158, 16556, 105335, 84477, 6447, 83947, 38093, 87177, 66383, 95604, 120706, 29295, 71289, 106358, 9174, 58426, 13372, 16144, 121640, 5486, 83947, 38093, 87177, 16144, 118430, 20834, 110904, 102158, 1041, 102158, 124905, 76947, 38093, 87177, 123410, 102083, 100472, 44915, 36785, 9174, 40265, 39177, 114115, 17792, 21990, 16556, 101682, 111186, 53508, 231, 104195, 89151, 42891, 90620, 16325, 103351, 112418, 15682, 5486, 9080, 104680, 58911, 119775, 110904, 102158, 30512, 109163, 61304, 103792, 114654, 29295, 5486, 103350, 15682, 1041, 102158, 16556, 16995, 105784, 102677, 120266, 127852, 107666, 114475, 107674, 112854, 58942, 107407, 9174, 15120, 24273, 16556, 102456, 44971, 89154, 1811, 111926, 16556, 91774, 100604, 9080, 120937, 102677, 104699, 110706, 114652, 71289, 103836, 29295, 120953, 32977, 64121, 103171, 112361, 106592, 78244, 103836, 116499, 54926, 9174, 108064, 120885, 76739, 91482, 15682, 115507, 115507, 36785, 15024, 5486, 107079, 21980, 223, 15682, 30591, 105104, 115032, 15024, 5486, 22398, 25197, 109089, 15682, 110631, 120195, 100604, 9174, 80805, 102514, 16073, 116825, 32149, 62004, 81219, 112418, 105352, 108608, 16144, 111769, 108995, 32149, 9174, 102616, 16144, 99849, 95598, 117913, 17792, 19732, 33035, 100204, 40862, 30297, 105908, 108608, 83947, 38093, 87177, 29295, 1041, 102158, 16556, 108608, 105272, 9174, 102456, 44971, 89154, 15682, 5486, 605, 102158, 16556, 104405, 108995, 9174, 567, 125389, 44971, 89154, 118430, 20834, 102756, 65575, 115813, 71634, 605, 198, 102677, 118733, 5486, 126843, 15682, 102456, 44971, 89154, 103732, 47884, 33655, 78183, 115032, 112690, 16144, 102832, 71634, 605, 30512, 104873, 115694, 64121, 30369, 120266, 56051, 9174, 101182, 16, 111299, 56965, 5486, 102456, 44971, 89154, 30512, 114652, 71289, 107462, 120550, 120706, 30512, 108565, 55723, 9174, 86348, 16556, 1135, 14558, 16144, 102456, 44971, 89154, 29295, 43167, 117864, 105879, 108048, 30512, 104655, 50834, 125119, 39926, 110904, 102158, 20230, 17620, 50338, 15024, 5486, 20656, 20230, 123011, 107436, 43167, 82420, 56051, 9174, 58426, 113702, 29295, 117896, 9174, 567, 125389, 44971, 89154, 16144, 108729, 15682, 13177, 126699, 108948, 16995, 102800, 76864, 198, 126843, 26130, 30832, 56051, 16995, 112973, 16, 25129, 19732, 17, 25129, 9174, 61826, 108680, 32977, 102181, 102334, 29295, 110371, 83687, 15682, 1135, 14558, 16144, 102456, 44971, 89154, 107809, 113245, 120955, 18904, 9039, 36785, 1811, 102717, 19732, 124592, 16144, 102944, 16556, 36896, 30297, 21909, 25827, 6447, 33334, 16995, 102800, 76864, 19732, 78244, 106358, 100909, 108176, 9174, 13177, 104734, 102465, 74396, 10646, 71289, 13177, 17129, 95604, 21909, 76864, 104309, 117119, 32149, 118028, 76428, 96452, 114615, 21405, 102321, 30512, 32018, 62004, 33503, 30369, 25197, 126989, 32977, 105693, 102456, 44971, 89154, 109846, 5486, 103350, 15682, 58426, 108729, 15682, 72238, 74245, 20230, 118133, 16995, 102800, 76864, 19732, 112844, 100909, 103351, 9174, 11881, 242, 5486, 105268, 46034, 16144, 117813, 17792, 121944, 102456, 44971, 89154, 16556, 13177, 126699, 6447, 33334, 16995, 102800, 76864, 19732, 115791, 110229, 36896, 125821, 21405, 102321, 100604, 25827, 121867, 76864, 102083, 100204, 125398, 16144, 104088, 28713, 105908, 105693, 29295, 108149, 33121, 16556, 103424, 102518, 105272, 9174, 110241, 17792, 21990, 16556, 16, 27479, 103378, 107507, 91062, 68759, 57207, 107060, 29295, 33655, 58942, 104533, 127564, 108149, 16144, 126101, 114941, 76947, 103031, 20230, 51330, 108134, 30512, 108044, 107290, 122765, 106956, 9174, 567, 123038, 48915, 26854, 103214, 64121, 114146, 39276, 16144, 125764, 53953, 20230, 102924, 60632, 26854, 13177, 66953, 119930, 29295, 104712, 111329, 18, 25129, 88852, 15682, 115847, 108422, 102456, 44971, 89154, 6447, 102677, 33334, 26854, 100204, 64121, 16144, 102756, 65575, 29295, 105360, 126559, 9174, 67645, 33121, 32977, 76622, 42891, 108895, 26854, 118430, 27479, 16556, 33655, 123671, 100481, 38144, 115847, 108680, 103296, 107118, 91763, 78183, 104435, 9174, 16325, 72661, 18, 25129, 16144, 13177, 110631, 16995, 9458, 110631, 64121, 10646, 15682, 19, 17620, 16144, 16, 71689, 16144, 102456, 44971, 89154, 16556, 33655, 78183, 115032, 32307, 27327, 108005, 115, 31431, 36785, 9174, 107943, 16325, 16556, 5486, 24, 25129, 109156, 103836, 13177, 115412, 115412, 19732, 18028, 18028, 16144, 66953, 119930, 29295, 104712, 66383, 95604, 112690, 102052, 30591, 109709, 26854, 100204, 64121, 29295, 104435, 9174, 51330, 112690, 36896, 118544, 17663, 64121, 17129, 25827, 10646, 71289, 13177, 109933, 25197, 78683, 106240, 78459, 62903, 113155, 38248, 105, 11972, 10646, 104309, 5486, 120065, 124500, 100472, 103214, 64121, 114146, 16144, 125764, 53953, 16556, 43240, 47884, 33655, 123671, 101732, 9174, 102456, 103234, 110904, 25129, 16556, 91774, 104533, 127177, 102756, 65575, 72661, 21405, 102321, 108608, 29295, 5486, 108895, 16995, 100472, 122735, 16144, 120098, 15682, 30591, 33121, 19732, 77693, 30512, 103214, 64121, 114146, 28713, 102677, 110229, 26854, 105879, 36896, 66953, 119930, 29295, 104712, 66383, 95604, 21405, 102321, 29295, 30358, 104734, 107001, 105272, 9174, 605, 102158, 16556, 103082, 102131, 198, 33671, 20230, 115847, 33503, 605, 102159, 16144, 112690, 16556, 67645, 33121, 103378, 16144, 102456, 44971 ]
[ 89154, 29295, 71493, 110590, 103082, 100934, 104865, 30512, 43167, 82420, 39926, 64121, 28713, 9174, 112990, 115515, 18904, 91774, 28713, 1135, 14558, 16144, 102456, 44971, 89154, 37087, 38144, 16556, 5486, 61826, 108680, 16144, 20251, 103830, 605, 102756, 65575, 29295, 16, 59739, 71689, 33655, 123671, 101732, 9174, 118133, 16995, 102800, 10646, 71289, 13177, 126699, 76864, 30512, 21418, 102334, 18, 25129, 55031, 605, 25129, 16144, 102756, 65575, 121142, 91774, 111243, 5486, 103664, 22, 111017, 16144, 102456, 44971, 89154, 16556, 33655, 78183, 115032, 9174, 13177, 605, 102158, 16556, 102456, 44971, 89154, 10646, 29295, 107188, 31431, 102321, 103350, 103868, 126130, 102802, 38144, 105898, 9174, 102456, 44971, 89154, 30512, 68759, 118331, 107908, 33208, 54926, 198, 1135, 14558, 16144, 102456, 44971, 89154, 104088, 100481, 38144, 5486, 43511, 105352, 16995, 47884, 59739, 32149, 95221, 109669, 102334, 105908, 101182, 9174, 9458, 13177, 30297, 56040, 25827, 6447, 33334, 16995, 102800, 76864, 52118, 13177, 83799, 37729, 113124, 15120, 78244, 10646, 52118, 13177, 863, 41832, 107, 41832, 107, 16556, 18028, 18028, 863, 102677, 83125, 117503, 89753, 33121, 9174, 9458, 13177, 126699, 76864, 71289, 13177, 30297, 56040, 25827, 76864, 30512, 112844, 110018, 15682, 5486, 118146, 119962, 100204, 115926, 91774, 87447, 102334, 31431, 54926, 9174, 9458, 13177, 33334, 16995, 102800, 59712, 30297, 17129, 16995, 10646, 15682, 112798, 103892, 16144, 16, 18904, 16556, 105721, 78183, 121140, 106116, 74482, 32977, 114867, 22957, 114867, 22957, 112844, 9174, 85701, 33503, 32977, 105104, 17129, 107290, 36896, 605, 102158, 16556, 102456, 44971, 89154, 118587, 68759, 118331, 107908, 33208, 56051, 112973, 117896, 9174, 102456, 44971, 89154, 30512, 19, 118821, 106826, 103830, 20230, 17620, 107441, 108048, 108422, 33121, 16144, 106826, 103830, 16556, 121507, 57942, 95, 107809, 55031, 112690, 30512, 102647, 25827, 72661, 33503, 30297, 104466, 56051, 9174, 108608, 1811, 108031, 51330, 83747, 100604, 102756, 65575, 16556, 102456, 44971, 89154, 29295, 103082, 100934, 120987, 67016, 91774, 119841, 1811, 68759, 118331, 107908, 29295, 61648, 20230, 60358, 109669, 47884, 107294, 106824, 5486, 103856, 47884, 125338, 115226, 120208, 16556, 16995, 124387, 110276, 112418, 15682, 5486, 118694, 23018, 118448, 47884, 46729, 30512, 107850, 102802, 118158, 9174, 102456, 44971, 89154, 15682, 107253, 104874, 29295, 27384, 30926, 198, 68759, 118331, 107908, 30512, 104371, 114601, 15024, 5486, 114948, 30512, 112193, 16073, 112193, 16073, 17129, 78183, 21105, 103, 29295, 33503, 125338, 124284, 104468, 115371, 70821, 9174, 37087, 24273, 25129, 16144, 125764, 53953, 30512, 105550, 108327, 109768, 104533, 119852, 104712, 116696, 107060, 72516, 104157, 103882, 102571, 39850, 78683, 109496, 113115, 39926, 110371, 13177, 605, 102158, 16556, 102456, 44971, 89154, 68759, 118331, 107908, 10646, 29295, 116414, 103296, 33035, 11883, 54926, 32149, 106081, 39926, 115226, 9174, 99750, 101067, 30512, 32977, 33503, 30297, 113009, 5486, 98915, 17792, 105352, 43167, 17129, 114598, 33503, 100472, 9174, 126843, 15682, 110371, 126331, 16144, 110456, 96356, 16556, 20251, 102803, 39926, 64121, 30369, 9174, 114626, 16144, 45923, 104930, 6447, 15682, 68759, 118331, 107908, 102052, 104435, 29295, 5486, 112624, 102780, 99750, 55031, 91763, 124059, 20834, 38144, 114604, 9174, 76622, 42891, 108895, 17905, 46034, 47884, 103082, 28713, 25827, 110034, 108995, 32149, 1811, 102131, 91763, 76947, 98915, 17792, 20230, 99750, 101067, 30512, 104655, 102532, 64121, 104533, 111476, 17129, 30813, 116421, 117859, 104760, 66327, 36785, 102334, 16995, 15682, 40862, 113017, 107493, 127091, 120065, 108010, 30297, 66383, 16144, 100909, 9174, 51385, 87844, 20230, 45923, 104930, 115499, 39926, 114604, 105994, 29295, 21555, 98, 101860, 32149, 106624, 38144, 5486, 21105, 108, 124749, 30868, 247, 106358, 66327, 30297, 32149, 59739, 20230, 45923, 104930, 115499, 21105, 103, 16995, 66383, 95604, 114408, 50834, 121216, 30512, 68759, 118331, 107908, 16144, 114626, 20230, 21601, 58942, 101200, 9174, 58426, 74482, 115847, 22656, 53953, 16144, 111926, 20230, 89753, 17663, 71289, 59739, 103351, 104865, 26854, 11571, 119150, 104699, 110706, 16144, 21105, 96, 107277, 56051, 123927, 104196, 31431, 29295, 23039, 123671, 111476, 13177, 863, 107167, 25005, 253, 11972, 863, 20230, 108010, 34208, 99750, 107407, 66383, 95604, 102971, 105242, 20230, 102334, 100472, 9174, 110924, 16556, 5486, 125152, 114598, 33503, 106358, 102456, 44971, 89154, 16325, 16144, 117039, 104088, 38144, 64121, 104533, 111476, 40526, 109156, 103468, 74482, 32977, 112384, 112384, 68759, 118331, 107908, 104088, 101732, 9174, 102208, 106826, 103830, 48154, 19732, 20230, 75267, 30591, 115926, 112535, 112690, 30512, 106767, 107113, 100909, 55031, 5486, 118220, 76947, 126331, 16144, 25197, 126989, 113115, 39926, 110596, 16995, 112690, 30512, 102647, 104127, 103801, 106358, 9174, 605, 102158, 20230, 103296, 58254, 252, 31431, 104526, 102189, 68759, 118331, 107908, 77181, 101182, 29295, 106116, 16325, 16144, 112690, 105110, 99849, 72661, 104712, 102677, 117735, 77181, 104435, 105272, 9174, 107253, 104874, 127242, 1811, 60868, 125135, 115350, 29295, 114652, 5486, 33671, 16144, 106081, 40862, 121254, 107441, 13177, 104712, 107253, 104874, 126198, 16995, 66383, 78244, 103836, 29295, 5486, 102456, 44971, 89154, 32977, 37087, 47884, 126419, 103351, 9174, 567, 101678, 102769, 26854, 104468, 108010, 34208, 99750, 16144, 100604, 112690, 58942, 33503, 102802, 198, 58426, 28542, 30512, 105104, 17129, 107290, 5486, 108031, 127637, 125338, 64121, 101200, 9174, 125764, 30369, 112772, 100204, 121710, 31431, 112690, 30512, 7305, 253, 103868, 39926, 33334, 47884, 118733, 5486, 37087, 47884, 108010, 34208, 99750, 16144, 100604, 102456, 44971, 89154, 110276, 9174, 114652, 104655, 126145, 36896, 102212, 108171, 19732, 45923, 44971, 26269, 57207, 94550, 16144, 66953, 119930, 29295, 104712, 10646, 15682, 125764, 53953, 22656, 33014, 30512, 102717, 62004, 126386, 15024, 36896, 17039, 121200, 16556, 123646, 116219, 10646, 15682, 112361, 106592, 78244, 103836, 1811, 72661, 107943, 109335, 37087, 47884, 109606, 111769, 1811, 19732, 112649, 47884, 58426, 125764, 53953, 16144, 25197, 126989, 20230, 40862, 30297, 112690, 29295, 105360, 104127, 16995, 104984, 4012, 26854, 105272, 9174, 37046, 104680, 15682, 102456, 44971, 89154, 30512, 68759, 115332, 56051, 9174, 567, 73028, 95, 17129, 110104, 23891, 5158, 198, 115303, 21105, 235, 31431, 103350, 124299, 30512, 105721, 107290, 36896, 114774, 21909, 5486, 102456, 44971, 89154, 103082, 28713, 103082, 28713, 76864, 19732, 103927, 29220, 103927, 29220, 105791, 16556, 115320, 64121, 38093, 20230, 104584, 17701, 119607, 103306, 102334, 110229, 5486, 16, 17792, 30250, 227, 106824, 110284, 30046, 29295, 71289, 121118, 9174, 43514, 107106, 67645, 104712, 5486, 37046, 104680, 29295, 68759, 115332, 56051, 102456, 44971, 89154, 30512, 24326, 104, 105651, 39926, 30813, 21105, 224, 102639, 101200, 9174, 61826, 101477, 102, 104346, 30512, 114408, 32149, 122101, 95221, 17129, 25827, 17129, 104127, 16144, 102456, 44971, 89154, 24326, 104, 105651, 103351, 29295, 106116, 95543, 106608, 15682, 17129, 30813, 116421, 13177, 114939, 107471, 26274, 255, 16995, 10646, 9174, 53900, 120837, 112361, 21555, 98, 30512, 30358, 101832, 38144, 114604, 1811, 61826, 101477, 102, 104346, 32977, 68759, 118331, 107908, 16556, 124260, 39926, 33334, 105898, 16995, 9174, 80539, 53900, 101544, 16995, 117859, 104760, 109156, 100472, 9174, 106222, 17792, 117084, 108031, 114225, 806, 8107, 108176, 29295, 5486, 114387, 105352, 13177, 23891, 5158, 17129, 78183, 127662, 26854, 21909, 10646, 19732, 112391, 28713, 104468, 85707, 107436, 36785, 9174, 80539, 58426, 113702, 36896, 71289, 78183, 33503, 121867, 59712, 127919, 112950, 59712, 115507, 115507, 66383, 16995, 100472, 112690, 29295, 99849, 30512, 102717, 62004, 100934, 32149, 29295, 27552, 244, 11881, 100, 126529, 77181, 11571, 102677, 124572, 108323, 20230, 102334, 100472, 9174, 37271, 103296, 44971, 121057, 39926, 105898, 102944, 19732, 108010, 76947, 5486, 101960, 225, 124863, 107079, 9458, 102212, 108171, 9458, 105871, 9458, 78683, 16073, 78683, 29220, 104309, 16995, 47884, 59739, 116421, 31634, 72238, 29295, 107960, 75694, 100472, 125764, 53953, 36785, 1811, 26854, 105879, 5486, 90620, 83799, 37729, 113124, 30512, 105360, 103854, 30369, 103378, 77181, 101960, 225, 121240, 67645, 16144, 105494, 16144, 106592, 78244, 103836, 104865, 29295, 103672, 100560, 97, 37823, 39926, 103801, 16995, 5486, 103892, 109156, 76947, 50834, 20230, 47884, 16995, 104865, 121061, 9174, 107943, 78698, 105085, 30512, 105104, 17129, 58942, 5486, 23226, 107436, 101960, 225, 45829, 20230, 109933, 111999, 76428, 9174, 109683, 19732, 37087, 102351, 55031, 105567, 46034, 29295, 125119, 100472, 1811, 101960, 225, 121240, 67645, 16144, 105494, 109853, 102717, 62004, 100934, 32149, 30512, 15682, 121381, 31431, 124545, 118733, 115515, 27479, 15682, 22398, 26269, 19732, 103892, 109156, 76947, 50834, 38144, 72238, 116366, 114420, 102456, 44971, 89154, 110276, 9174, 37795, 96, 16144, 102159, 102452, 20230, 102334, 116537, 5486, 113938, 16144, 105567, 46034, 116337, 105414, 20230, 51330, 114834, 16556, 127091, 33334, 62004, 16556, 106956, 125053, 122291, 106046, 100472, 32149, 121061, 29295, 106116, 121640, 36785, 1811, 110382, 20230, 5486, 102456, 44971, 89154, 15682, 605, 102158, 16556, 108608, 105908, 110322, 31958, 103646, 105272, 9174, 11144, 125338, 64121, 38144, 17620, 102518, 101335, 65299, 102040, 65299, 112479, 9458, 58426, 125764, 53953, 16144, 25197, 126989, 20230, 60358, 16995, 112690, 30512, 5486, 125764, 30369, 112772, 102647, 104127, 33334, 47884, 9174, 9458, 112361, 115552, 16144, 83799, 37729, 113124, 30512, 30358, 101832, 111243, 4012, 9174, 9458, 16995, 47884, 59739, 116421, 31634, 72238, 107407, 125764, 53953, 16144, 126513, 5486, 67645, 16144, 105494, 30512, 102717, 62004, 100934, 104865, 15682, 121381, 31431, 124545, 9174, 33655, 78183, 115032, 112690, 16144, 106596, 19732, 68759, 118331, 107908, 33208, 5486, 80539, 103350, 104983, 20230, 125338, 64121, 38144, 16144, 110101, 116219, 122060, 113468, 5486, 91763, 106358, 71689, 20230, 77693, 114420, 102456, 44971, 89154, 29295, 108608, 101200, 110276, 9174, 115320, 64121, 38093, 104309, 16556, 64121, 103171, 16556, 125338, 64121, 104533, 50834, 104043, 109466, 31431, 115442, 30369, 105879, 5486, 112371, 104328, 106081, 39926, 64121, 38144, 102717, 102800, 9174, 117876, 16144, 108729, 15682, 13177, 123782, 33208, 10646, 118816, 104655, 102334, 105908, 101182, 9174, 66378, 23187, 124911, 67016, 118765, 117876, 30512, 112832, 72661, 108608, 104466, 39926, 5486, 112997, 29220, 30512, 114485, 33503, 56051, 31431, 126120, 96455, 33208, 56051, 31431, 54926, 100909, 36785, 9174, 37271, 103296, 102456, 44971, 89154, 15682, 47307, 44971, 52414, 98369, 20230, 67016, 118765, 117876, 103351, 29295, 115515, 18904, 16144, 13177, 605, 102158, 16556, 102456, 44971, 89154, 68759, 118331, 107908, 10646, 113468, 37046, 104680, 108936, 17792, 72661, 46034, 117355, 20230, 108608, 102944, 110276, 1811, 17129, 30813, 20230, 123782, 33208, 1811, 102456, 44971, 89154, 16144, 5486, 122502, 50834, 24273, 119254, 71289, 6447, 128001, 128000, 118899, 5486, 33208, 90397, 100, 29295, 30297, 17129, 119064, 76947, 47884, 110615, 1981, 9174, 120044, 16144, 102040, 37823, 29295, 123733, 121118, 1981, 9174, 107943, 104346, 20230, 112391, 30369, 105110, 111476, 8107, 106036, 95, 120044, 16144, 6708, 228, 103550, 32149, 110241, 33121, 107515, 9174, 77181, 5486, 8239, 114503, 112535, 120044, 92877, 33208, 30512, 103181, 104699, 102052, 104405, 56051, 110706, 105879, 109954, 32149, 9174, 110382, 77181, 5486, 76739, 25197, 76428, 94550, 102663, 39880, 16556, 26130, 30832, 110731, 198, 125540, 113714, 47307, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 15147, 198, 567, 109887, 32131, 113714, 47307, 107118, 198, 125540, 113714, 47307, 107118, 5486, 114654, 16556, 13177, 198, 118480, 114457, 66383, 95604, 115552, 38641, 9174, 80673, 58666, 37729, 101275, 98220, 16556, 33655, 78183, 115032, 125540, 113714, 47307, 102677, 110904, 102158, 15682, 5486, 118480, 114457, 55031, 116602, 118158, 198, 13153, 101544, 63212, 45829, 71289, 52561, 226, 113598, 72238, 16144, 106592, 64467, 127145, 9174, 14711, 109887, 32131, 113714, 47307, 16144, 13153, 17620, 198, 118480, 114457, 15682, 5486, 118480, 116581, 16144, 102404, 101662, 30512, 30813, 30813, 58942, 5486, 118958, 30512, 106154, 30369, 121432, 10110, 103048, 115075, 121432, 104309, 7705, 30512, 104874, 107290, 61689, 9174, 13177, 13153, 101544, 10646, 114556, 108826, 103792, 103378, 30591, 76947, 5486, 96412, 17129, 115032, 13153, 17620, 15682, 86127, 126027, 33014, 16144, 13177, 72237, 66383, 109020, 105933, 102944, 122416, 38641, 9174, 13153, 101544, 63212, 45829, 198, 33014, 16144, 17039, 118741, 31640, 118835, 30512, 76706, 102404, 117657, 13153, 17620, 198, 9458, 198, 119515, 105469, 26854, 15308, 226, 113598, 72238, 198, 47307, 115695, 29220, 105284, 5486, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 5486, 121496, 105284, 5486, 117587, 105284, 198, 100845, 113, 72238, 198, 103664, 1041, 104091, 104770, 16144, 100845, 113, 72238, 29295, 114140, 110731, 198, 72237, 108602, 198, 17039, 106624, 104398, 112506, 126694, 31431, 121406, 13153, 17620, 198, 91062, 47260, 43240, 117587, 104770, 198, 104398, 112506, 20230, 53610, 17620, 30512, 118551, 124545, 13153, 17620, 198, 827, 87646, 101544, 63212, 45829, 20230, 26130, 30832, 198, 108895, 56051, 13153, 17620, 107809, 72661, 114318, 47884, 20230, 66378, 17599, 112, 9554, 102083, 105262, 104468, 198, 13153, 101544, 63212, 45829, 38641, 9174, 118480, 114457, 107809, 16556, 5486, 118480, 116581, 15682, 17663, 48154, 16995, 22398, 70563, 65575, 16556, 13153, 101544, 109768, 50834, 33541, 9174, 122582, 118480, 114457, 55031, 37705, 110071, 13153, 101544, 63212, 121240, 48634, 113468, 5486, 104398, 112506, 17620, 117068, 29295, 121854, 111101, 26854, 22398, 70563, 65575, 16556, 23039, 123671, 100481, 47884, 55031, 38641, 9174, 102131, 5486, 13153, 101544, 63212, 121240, 80805, 124049, 15682, 17663, 48154, 117714, 38641, 106609, 51330, 13153, 101544, 63212, 45829, 30512, 120044, 125030, 31431, 17701, 104028, 118733, 198, 17039, 118741, 31640, 118835, 29295, 76706, 102404, 101983, 104984, 5486, 120044, 30512, 105268, 104680, 106624, 33563, 59739, 60868, 121057, 117084, 120700, 33541, 9174, 14711, 109887, 32131, 113714, 47307, 16144, 8239, 114503, 198, 108895, 39926, 120044, 16144, 17039, 118741, 31640, 118835, 20230, 80631, 95, 112500, 108608, 125540, 113714, 47307, 15682, 5486, 118969, 75694, 17129, 26854, 120044, 101128, 102, 64121, 113115, 106608, 125545, 9174, 120044, 31640, 118835, 16144, 103167, 17297, 113468, 13079, 108, 58942, 29295, 43514 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 89154, 29295, 71493, 110590, 103082, 100934, 104865, 30512, 43167, 82420, 39926, 64121, 28713, 9174, 112990, 115515, 18904, 91774, 28713, 1135, 14558, 16144, 102456, 44971, 89154, 37087, 38144, 16556, 5486, 61826, 108680, 16144, 20251, 103830, 605, 102756, 65575, 29295, 16, 59739, 71689, 33655, 123671, 101732, 9174, 118133, 16995, 102800, 10646, 71289, 13177, 126699, 76864, 30512, 21418, 102334, 18, 25129, 55031, 605, 25129, 16144, 102756, 65575, 121142, 91774, 111243, 5486, 103664, 22, 111017, 16144, 102456, 44971, 89154, 16556, 33655, 78183, 115032, 9174, 13177, 605, 102158, 16556, 102456, 44971, 89154, 10646, 29295, 107188, 31431, 102321, 103350, 103868, 126130, 102802, 38144, 105898, 9174, 102456, 44971, 89154, 30512, 68759, 118331, 107908, 33208, 54926, 198, 1135, 14558, 16144, 102456, 44971, 89154, 104088, 100481, 38144, 5486, 43511, 105352, 16995, 47884, 59739, 32149, 95221, 109669, 102334, 105908, 101182, 9174, 9458, 13177, 30297, 56040, 25827, 6447, 33334, 16995, 102800, 76864, 52118, 13177, 83799, 37729, 113124, 15120, 78244, 10646, 52118, 13177, 863, 41832, 107, 41832, 107, 16556, 18028, 18028, 863, 102677, 83125, 117503, 89753, 33121, 9174, 9458, 13177, 126699, 76864, 71289, 13177, 30297, 56040, 25827, 76864, 30512, 112844, 110018, 15682, 5486, 118146, 119962, 100204, 115926, 91774, 87447, 102334, 31431, 54926, 9174, 9458, 13177, 33334, 16995, 102800, 59712, 30297, 17129, 16995, 10646, 15682, 112798, 103892, 16144, 16, 18904, 16556, 105721, 78183, 121140, 106116, 74482, 32977, 114867, 22957, 114867, 22957, 112844, 9174, 85701, 33503, 32977, 105104, 17129, 107290, 36896, 605, 102158, 16556, 102456, 44971, 89154, 118587, 68759, 118331, 107908, 33208, 56051, 112973, 117896, 9174, 102456, 44971, 89154, 30512, 19, 118821, 106826, 103830, 20230, 17620, 107441, 108048, 108422, 33121, 16144, 106826, 103830, 16556, 121507, 57942, 95, 107809, 55031, 112690, 30512, 102647, 25827, 72661, 33503, 30297, 104466, 56051, 9174, 108608, 1811, 108031, 51330, 83747, 100604, 102756, 65575, 16556, 102456, 44971, 89154, 29295, 103082, 100934, 120987, 67016, 91774, 119841, 1811, 68759, 118331, 107908, 29295, 61648, 20230, 60358, 109669, 47884, 107294, 106824, 5486, 103856, 47884, 125338, 115226, 120208, 16556, 16995, 124387, 110276, 112418, 15682, 5486, 118694, 23018, 118448, 47884, 46729, 30512, 107850, 102802, 118158, 9174, 102456, 44971, 89154, 15682, 107253, 104874, 29295, 27384, 30926, 198, 68759, 118331, 107908, 30512, 104371, 114601, 15024, 5486, 114948, 30512, 112193, 16073, 112193, 16073, 17129, 78183, 21105, 103, 29295, 33503, 125338, 124284, 104468, 115371, 70821, 9174, 37087, 24273, 25129, 16144, 125764, 53953, 30512, 105550, 108327, 109768, 104533, 119852, 104712, 116696, 107060, 72516, 104157, 103882, 102571, 39850, 78683, 109496, 113115, 39926, 110371, 13177, 605, 102158, 16556, 102456, 44971, 89154, 68759, 118331, 107908, 10646, 29295, 116414, 103296, 33035, 11883, 54926, 32149, 106081, 39926, 115226, 9174, 99750, 101067, 30512, 32977, 33503, 30297, 113009, 5486, 98915, 17792, 105352, 43167, 17129, 114598, 33503, 100472, 9174, 126843, 15682, 110371, 126331, 16144, 110456, 96356, 16556, 20251, 102803, 39926, 64121, 30369, 9174, 114626, 16144, 45923, 104930, 6447, 15682, 68759, 118331, 107908, 102052, 104435, 29295, 5486, 112624, 102780, 99750, 55031, 91763, 124059, 20834, 38144, 114604, 9174, 76622, 42891, 108895, 17905, 46034, 47884, 103082, 28713, 25827, 110034, 108995, 32149, 1811, 102131, 91763, 76947, 98915, 17792, 20230, 99750, 101067, 30512, 104655, 102532, 64121, 104533, 111476, 17129, 30813, 116421, 117859, 104760, 66327, 36785, 102334, 16995, 15682, 40862, 113017, 107493, 127091, 120065, 108010, 30297, 66383, 16144, 100909, 9174, 51385, 87844, 20230, 45923, 104930, 115499, 39926, 114604, 105994, 29295, 21555, 98, 101860, 32149, 106624, 38144, 5486, 21105, 108, 124749, 30868, 247, 106358, 66327, 30297, 32149, 59739, 20230, 45923, 104930, 115499, 21105, 103, 16995, 66383, 95604, 114408, 50834, 121216, 30512, 68759, 118331, 107908, 16144, 114626, 20230, 21601, 58942, 101200, 9174, 58426, 74482, 115847, 22656, 53953, 16144, 111926, 20230, 89753, 17663, 71289, 59739, 103351, 104865, 26854, 11571, 119150, 104699, 110706, 16144, 21105, 96, 107277, 56051, 123927, 104196, 31431, 29295, 23039, 123671, 111476, 13177, 863, 107167, 25005, 253, 11972, 863, 20230, 108010, 34208, 99750, 107407, 66383, 95604, 102971, 105242, 20230, 102334, 100472, 9174, 110924, 16556, 5486, 125152, 114598, 33503, 106358, 102456, 44971, 89154, 16325, 16144, 117039, 104088, 38144, 64121, 104533, 111476, 40526, 109156, 103468, 74482, 32977, 112384, 112384, 68759, 118331, 107908, 104088, 101732, 9174, 102208, 106826, 103830, 48154, 19732, 20230, 75267, 30591, 115926, 112535, 112690, 30512, 106767, 107113, 100909, 55031, 5486, 118220, 76947, 126331, 16144, 25197, 126989, 113115, 39926, 110596, 16995, 112690, 30512, 102647, 104127, 103801, 106358, 9174, 605, 102158, 20230, 103296, 58254, 252, 31431, 104526, 102189, 68759, 118331, 107908, 77181, 101182, 29295, 106116, 16325, 16144, 112690, 105110, 99849, 72661, 104712, 102677, 117735, 77181, 104435, 105272, 9174, 107253, 104874, 127242, 1811, 60868, 125135, 115350, 29295, 114652, 5486, 33671, 16144, 106081, 40862, 121254, 107441, 13177, 104712, 107253, 104874, 126198, 16995, 66383, 78244, 103836, 29295, 5486, 102456, 44971, 89154, 32977, 37087, 47884, 126419, 103351, 9174, 567, 101678, 102769, 26854, 104468, 108010, 34208, 99750, 16144, 100604, 112690, 58942, 33503, 102802, 198, 58426, 28542, 30512, 105104, 17129, 107290, 5486, 108031, 127637, 125338, 64121, 101200, 9174, 125764, 30369, 112772, 100204, 121710, 31431, 112690, 30512, 7305, 253, 103868, 39926, 33334, 47884, 118733, 5486, 37087, 47884, 108010, 34208, 99750, 16144, 100604, 102456, 44971, 89154, 110276, 9174, 114652, 104655, 126145, 36896, 102212, 108171, 19732, 45923, 44971, 26269, 57207, 94550, 16144, 66953, 119930, 29295, 104712, 10646, 15682, 125764, 53953, 22656, 33014, 30512, 102717, 62004, 126386, 15024, 36896, 17039, 121200, 16556, 123646, 116219, 10646, 15682, 112361, 106592, 78244, 103836, 1811, 72661, 107943, 109335, 37087, 47884, 109606, 111769, 1811, 19732, 112649, 47884, 58426, 125764, 53953, 16144, 25197, 126989, 20230, 40862, 30297, 112690, 29295, 105360, 104127, 16995, 104984, 4012, 26854, 105272, 9174, 37046, 104680, 15682, 102456, 44971, 89154, 30512, 68759, 115332, 56051, 9174, 567, 73028, 95, 17129, 110104, 23891, 5158, 198, 115303, 21105, 235, 31431, 103350, 124299, 30512, 105721, 107290, 36896, 114774, 21909, 5486, 102456, 44971, 89154, 103082, 28713, 103082, 28713, 76864, 19732, 103927, 29220, 103927, 29220, 105791, 16556, 115320, 64121, 38093, 20230, 104584, 17701, 119607, 103306, 102334, 110229, 5486, 16, 17792, 30250, 227, 106824, 110284, 30046, 29295, 71289, 121118, 9174, 43514, 107106, 67645, 104712, 5486, 37046, 104680, 29295, 68759, 115332, 56051, 102456, 44971, 89154, 30512, 24326, 104, 105651, 39926, 30813, 21105, 224, 102639, 101200, 9174, 61826, 101477, 102, 104346, 30512, 114408, 32149, 122101, 95221, 17129, 25827, 17129, 104127, 16144, 102456, 44971, 89154, 24326, 104, 105651, 103351, 29295, 106116, 95543, 106608, 15682, 17129, 30813, 116421, 13177, 114939, 107471, 26274, 255, 16995, 10646, 9174, 53900, 120837, 112361, 21555, 98, 30512, 30358, 101832, 38144, 114604, 1811, 61826, 101477, 102, 104346, 32977, 68759, 118331, 107908, 16556, 124260, 39926, 33334, 105898, 16995, 9174, 80539, 53900, 101544, 16995, 117859, 104760, 109156, 100472, 9174, 106222, 17792, 117084, 108031, 114225, 806, 8107, 108176, 29295, 5486, 114387, 105352, 13177, 23891, 5158, 17129, 78183, 127662, 26854, 21909, 10646, 19732, 112391, 28713, 104468, 85707, 107436, 36785, 9174, 80539, 58426, 113702, 36896, 71289, 78183, 33503, 121867, 59712, 127919, 112950, 59712, 115507, 115507, 66383, 16995, 100472, 112690, 29295, 99849, 30512, 102717, 62004, 100934, 32149, 29295, 27552, 244, 11881, 100, 126529, 77181, 11571, 102677, 124572, 108323, 20230, 102334, 100472, 9174, 37271, 103296, 44971, 121057, 39926, 105898, 102944, 19732, 108010, 76947, 5486, 101960, 225, 124863, 107079, 9458, 102212, 108171, 9458, 105871, 9458, 78683, 16073, 78683, 29220, 104309, 16995, 47884, 59739, 116421, 31634, 72238, 29295, 107960, 75694, 100472, 125764, 53953, 36785, 1811, 26854, 105879, 5486, 90620, 83799, 37729, 113124, 30512, 105360, 103854, 30369, 103378, 77181, 101960, 225, 121240, 67645, 16144, 105494, 16144, 106592, 78244, 103836, 104865, 29295, 103672, 100560, 97, 37823, 39926, 103801, 16995, 5486, 103892, 109156, 76947, 50834, 20230, 47884, 16995, 104865, 121061, 9174, 107943, 78698, 105085, 30512, 105104, 17129, 58942, 5486, 23226, 107436, 101960, 225, 45829, 20230, 109933, 111999, 76428, 9174, 109683, 19732, 37087, 102351, 55031, 105567, 46034, 29295, 125119, 100472, 1811, 101960, 225, 121240, 67645, 16144, 105494, 109853, 102717, 62004, 100934, 32149, 30512, 15682, 121381, 31431, 124545, 118733, 115515, 27479, 15682, 22398, 26269, 19732, 103892, 109156, 76947, 50834, 38144, 72238, 116366, 114420, 102456, 44971, 89154, 110276, 9174, 37795, 96, 16144, 102159, 102452, 20230, 102334, 116537, 5486, 113938, 16144, 105567, 46034, 116337, 105414, 20230, 51330, 114834, 16556, 127091, 33334, 62004, 16556, 106956, 125053, 122291, 106046, 100472, 32149, 121061, 29295, 106116, 121640, 36785, 1811, 110382, 20230, 5486, 102456, 44971, 89154, 15682, 605, 102158, 16556, 108608, 105908, 110322, 31958, 103646, 105272, 9174, 11144, 125338, 64121, 38144, 17620, 102518, 101335, 65299, 102040, 65299, 112479, 9458, 58426, 125764, 53953, 16144, 25197, 126989, 20230, 60358, 16995, 112690, 30512, 5486, 125764, 30369, 112772, 102647, 104127, 33334, 47884, 9174, 9458, 112361, 115552, 16144, 83799, 37729, 113124, 30512, 30358, 101832, 111243, 4012, 9174, 9458, 16995, 47884, 59739, 116421, 31634, 72238, 107407, 125764, 53953, 16144, 126513, 5486, 67645, 16144, 105494, 30512, 102717, 62004, 100934, 104865, 15682, 121381, 31431, 124545, 9174, 33655, 78183, 115032, 112690, 16144, 106596, 19732, 68759, 118331, 107908, 33208, 5486, 80539, 103350, 104983, 20230, 125338, 64121, 38144, 16144, 110101, 116219, 122060, 113468, 5486, 91763, 106358, 71689, 20230, 77693, 114420, 102456, 44971, 89154, 29295, 108608, 101200, 110276, 9174, 115320, 64121, 38093, 104309, 16556, 64121, 103171, 16556, 125338, 64121, 104533, 50834, 104043, 109466, 31431, 115442, 30369, 105879, 5486, 112371, 104328, 106081, 39926, 64121, 38144, 102717, 102800, 9174, 117876, 16144, 108729, 15682, 13177, 123782, 33208, 10646, 118816, 104655, 102334, 105908, 101182, 9174, 66378, 23187, 124911, 67016, 118765, 117876, 30512, 112832, 72661, 108608, 104466, 39926, 5486, 112997, 29220, 30512, 114485, 33503, 56051, 31431, 126120, 96455, 33208, 56051, 31431, 54926, 100909, 36785, 9174, 37271, 103296, 102456, 44971, 89154, 15682, 47307, 44971, 52414, 98369, 20230, 67016, 118765, 117876, 103351, 29295, 115515, 18904, 16144, 13177, 605, 102158, 16556, 102456, 44971, 89154, 68759, 118331, 107908, 10646, 113468, 37046, 104680, 108936, 17792, 72661, 46034, 117355, 20230, 108608, 102944, 110276, 1811, 17129, 30813, 20230, 123782, 33208, 1811, 102456, 44971, 89154, 16144, 5486, 122502, 50834, 24273, 119254, 71289, 6447, 128001, 128000, 118899, 5486, 33208, 90397, 100, 29295, 30297, 17129, 119064, 76947, 47884, 110615, 1981, 9174, 120044, 16144, 102040, 37823, 29295, 123733, 121118, 1981, 9174, 107943, 104346, 20230, 112391, 30369, 105110, 111476, 8107, 106036, 95, 120044, 16144, 6708, 228, 103550, 32149, 110241, 33121, 107515, 9174, 77181, 5486, 8239, 114503, 112535, 120044, 92877, 33208, 30512, 103181, 104699, 102052, 104405, 56051, 110706, 105879, 109954, 32149, 9174, 110382, 77181, 5486, 76739, 25197, 76428, 94550, 102663, 39880, 16556, 26130, 30832, 110731, 198, 125540, 113714, 47307, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 15147, 198, 567, 109887, 32131, 113714, 47307, 107118, 198, 125540, 113714, 47307, 107118, 5486, 114654, 16556, 13177, 198, 118480, 114457, 66383, 95604, 115552, 38641, 9174, 80673, 58666, 37729, 101275, 98220, 16556, 33655, 78183, 115032, 125540, 113714, 47307, 102677, 110904, 102158, 15682, 5486, 118480, 114457, 55031, 116602, 118158, 198, 13153, 101544, 63212, 45829, 71289, 52561, 226, 113598, 72238, 16144, 106592, 64467, 127145, 9174, 14711, 109887, 32131, 113714, 47307, 16144, 13153, 17620, 198, 118480, 114457, 15682, 5486, 118480, 116581, 16144, 102404, 101662, 30512, 30813, 30813, 58942, 5486, 118958, 30512, 106154, 30369, 121432, 10110, 103048, 115075, 121432, 104309, 7705, 30512, 104874, 107290, 61689, 9174, 13177, 13153, 101544, 10646, 114556, 108826, 103792, 103378, 30591, 76947, 5486, 96412, 17129, 115032, 13153, 17620, 15682, 86127, 126027, 33014, 16144, 13177, 72237, 66383, 109020, 105933, 102944, 122416, 38641, 9174, 13153, 101544, 63212, 45829, 198, 33014, 16144, 17039, 118741, 31640, 118835, 30512, 76706, 102404, 117657, 13153, 17620, 198, 9458, 198, 119515, 105469, 26854, 15308, 226, 113598, 72238, 198, 47307, 115695, 29220, 105284, 5486, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 5486, 121496, 105284, 5486, 117587, 105284, 198, 100845, 113, 72238, 198, 103664, 1041, 104091, 104770, 16144, 100845, 113, 72238, 29295, 114140, 110731, 198, 72237, 108602, 198, 17039, 106624, 104398, 112506, 126694, 31431, 121406, 13153, 17620, 198, 91062, 47260, 43240, 117587, 104770, 198, 104398, 112506, 20230, 53610, 17620, 30512, 118551, 124545, 13153, 17620, 198, 827, 87646, 101544, 63212, 45829, 20230, 26130, 30832, 198, 108895, 56051, 13153, 17620, 107809, 72661, 114318, 47884, 20230, 66378, 17599, 112, 9554, 102083, 105262, 104468, 198, 13153, 101544, 63212, 45829, 38641, 9174, 118480, 114457, 107809, 16556, 5486, 118480, 116581, 15682, 17663, 48154, 16995, 22398, 70563, 65575, 16556, 13153, 101544, 109768, 50834, 33541, 9174, 122582, 118480, 114457, 55031, 37705, 110071, 13153, 101544, 63212, 121240, 48634, 113468, 5486, 104398, 112506, 17620, 117068, 29295, 121854, 111101, 26854, 22398, 70563, 65575, 16556, 23039, 123671, 100481, 47884, 55031, 38641, 9174, 102131, 5486, 13153, 101544, 63212, 121240, 80805, 124049, 15682, 17663, 48154, 117714, 38641, 106609, 51330, 13153, 101544, 63212, 45829, 30512, 120044, 125030, 31431, 17701, 104028, 118733, 198, 17039, 118741, 31640, 118835, 29295, 76706, 102404, 101983, 104984, 5486, 120044, 30512, 105268, 104680, 106624, 33563, 59739, 60868, 121057, 117084, 120700, 33541, 9174, 14711, 109887, 32131, 113714, 47307, 16144, 8239, 114503, 198, 108895, 39926, 120044, 16144, 17039, 118741, 31640, 118835, 20230, 80631, 95, 112500, 108608, 125540, 113714, 47307, 15682, 5486, 118969, 75694, 17129, 26854, 120044, 101128, 102, 64121, 113115, 106608, 125545, 9174, 120044, 31640, 118835, 16144, 103167, 17297, 113468, 13079, 108, 58942, 29295, 43514 ]
[ 26854, 33563, 122539, 121432, 5486, 127194, 78683, 113883, 105623, 226, 108882, 5486, 15024, 78183, 104309, 113115, 39926, 5486, 119045, 109904, 39880, 107420, 113335, 117282, 16144, 38641, 9174, 102717, 32149, 105352, 125540, 113714, 47307, 102052, 198, 108324, 108602, 33208, 113266, 115991, 5486, 120044, 16144, 108602, 33208, 30512, 126128, 44416, 54926, 122502, 50834, 30512, 32977, 76947, 61689, 1811, 97255, 245, 108602, 33208, 113266, 107118, 198, 76706, 34171, 108602, 72238, 16144, 122502, 50834, 30512, 126128, 44416, 10110, 125845, 76706, 34171, 108602, 72238, 30512, 21418, 86436, 7705, 39926, 5486, 33014, 16144, 108602, 33208, 10110, 104023, 92877, 33208, 7705, 30512, 126128, 105262, 113266, 16144, 100909, 198, 120044, 16144, 31640, 118835, 5486, 108324, 108602, 33208, 113266, 19732, 5486, 125540, 113714, 47307, 102052, 76739, 25197, 76428, 94550, 102663, 39880, 125030, 31431, 17701, 104028, 101523, 227, 48634, 29295, 50520, 108, 17129, 103836, 16144, 38641, 9174, 125540, 113714, 47307, 16144, 120044, 8239, 114503, 198, 9458, 58666, 101828, 198, 9458, 33563, 122539, 198, 9458, 119375, 48634, 122060, 198, 9458, 108602, 33208, 126128, 44416, 198, 567, 109887, 32131, 113714, 47307, 16144, 104091, 104770, 198, 76739, 25197, 76428, 94550, 102663, 39880, 20230, 125540, 113714, 47307, 30512, 19732, 31431, 17701, 104028, 17792, 32977, 115079, 58942, 36896, 125540, 113714, 47307, 127730, 66383, 61304, 107121, 110731, 33208, 90397, 100, 25446, 30512, 114652, 91774, 32149, 105784, 101200, 115717, 79721, 9174, 67016, 21105, 251, 16144, 13177, 125540, 113714, 47307, 10646, 15682, 117119, 29295, 53229, 42506, 16144, 125540, 113714, 47307, 123253, 32149, 9174, 125540, 113714, 47307, 102052, 16995, 47884, 59739, 116421, 104091, 104770, 115991, 33541, 9174, 80539, 58426, 104091, 104770, 113468, 111476, 8239, 114503, 16144, 45736, 30813, 32977, 108010, 76947, 114732, 16144, 38641, 9174, 14711, 220, 18, 59739, 20230, 27384, 103283, 198, 126843, 110745, 50834, 47884, 17620, 76622, 104533, 13177, 91875, 53953, 34171, 59712, 117430, 34171, 59712, 56235, 106390, 34171, 117503, 18, 104091, 104770, 115717, 33541, 9174, 110382, 16556, 61633, 39926, 33334, 105898, 16995, 104468, 5486, 117430, 34171, 19732, 56235, 106390, 34171, 38641, 9174, 115371, 104770, 19732, 117430, 102052, 118480, 114457, 115991, 107515, 9174, 59739, 109709, 5486, 125540, 113714, 47307, 126636, 112495, 101523, 227, 48634, 103195, 13153, 101544, 63212, 45829, 29295, 96412, 123606, 126386, 16144, 38641, 9174, 76739, 25197, 76428, 94550, 102663, 39880, 30512, 37689, 109375, 39926, 125540, 113714, 47307, 30512, 19732, 31431, 17701, 104028, 105110, 36896, 117430, 34171, 125540, 113714, 47307, 10646, 71289, 13177, 56235, 106390, 34171, 125540, 113714, 47307, 10646, 77181, 5486, 83747, 104680, 107734, 127242, 107188, 19732, 112391, 33541, 9174, 117430, 34171, 71289, 56235, 106390, 34171, 15682, 5486, 120044, 111363, 8239, 114503, 30512, 113954, 56051, 30297, 58942, 16556, 5486, 125540, 113714, 47307, 107118, 108010, 100472, 115552, 40862, 117201, 100204, 107106, 101860, 107294, 32149, 107462, 50834, 17129, 109954, 9174, 117430, 34171, 125540, 113714, 47307, 198, 117430, 16144, 118480, 103605, 102677, 105494, 30512, 38129, 127145, 9174, 119515, 105469, 26854, 15308, 226, 113598, 72238, 10110, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 104309, 119735, 96412, 17129, 106824, 61689, 29295, 5486, 13153, 101544, 63212, 124863, 96412, 123606, 100481, 107515, 9174, 56235, 106390, 34171, 125540, 113714, 47307, 198, 11239, 113, 30512, 68379, 104004, 11239, 113, 17597, 96, 115716, 102677, 105494, 30512, 38129, 127145, 9174, 47260, 32131, 38248, 110, 16073, 5486, 107461, 107908, 125933, 108602, 102083, 100472, 13153, 17620, 29295, 96412, 17129, 106824, 61689, 29295, 5486, 13153, 101544, 63212, 124863, 96412, 123606, 100481, 107515, 9174, 827, 107964, 243, 53953, 34171, 125540, 113714, 47307, 198, 103350, 104983, 20230, 118480, 114457, 55031, 116602, 121216, 5486, 13153, 101544, 63212, 45829, 30512, 96412, 126559, 125540, 113714, 47307, 15682, 13177, 198, 91875, 53953, 34171, 125540, 113714, 47307, 66383, 95604, 100909, 115717, 33541, 9174, 80539, 91875, 53953, 34171, 125540, 113714, 47307, 16144, 53229, 42506, 104856, 104533, 5486, 123815, 5486, 44510, 248, 5486, 103803, 29295, 106691, 9554, 38641, 9174, 102433, 117409, 77181, 123815, 29295, 53229, 42506, 16144, 125540, 113714, 47307, 15682, 17701, 46034, 15024, 20230, 47884, 47884, 5486, 44510, 248, 32149, 103803, 115717, 33541, 9174, 68431, 50550, 104405, 39926, 123815, 15682, 89753, 33035, 39926, 100604, 16144, 95532, 32977, 107173, 107118, 125540, 113714, 47307, 16144, 53229, 42506, 20230, 109022, 32977, 38129, 84389, 100481, 79721, 9174, 80673, 198, 114760, 109022, 103429, 29295, 102404, 21990, 56051, 106592, 50834, 42891, 126929, 20230, 5486, 109022, 29295, 53229, 42506, 16144, 118480, 114457, 15682, 38129, 84389, 100604, 120266, 9174, 58426, 104983, 20230, 112950, 21990, 8239, 112, 122502, 66870, 55031, 13177, 114760, 109022, 103429, 29295, 102404, 21990, 103792, 125525, 109022, 71289, 123815, 16144, 118480, 114457, 15682, 59739, 124233, 100604, 104466, 66383, 95604, 114397, 125334, 28713, 16144, 38641, 9174, 112673, 118517, 26269, 80805, 77181, 123815, 125540, 113714, 47307, 29295, 126909, 119627, 123085, 117409, 16556, 122626, 110731, 123815, 125540, 113714, 47307, 15682, 115201, 17701, 25446, 19732, 78698, 107290, 72315, 9174, 108895, 56051, 115201, 17701, 25446, 16144, 123815, 125540, 113714, 47307, 30512, 38129, 54926, 126513, 5486, 114760, 109022, 103429, 29295, 102404, 21990, 109768, 100604, 29504, 10110, 90962, 125913, 32131, 104612, 5486, 118331, 78767, 108994, 102860, 106518, 7705, 29295, 5486, 125261, 9554, 105509, 34171, 29295, 126574, 19732, 116216, 61689, 9174, 567, 107964, 243, 53953, 34171, 15682, 105509, 34171, 29295, 27384, 102769, 198, 117409, 77181, 44510, 248, 32149, 109022, 29295, 53229, 42506, 16144, 125540, 113714, 47307, 29295, 122626, 110731, 113334, 119627, 5486, 121819, 105987, 112535, 127181, 104468, 44510, 248, 29295, 53229, 42506, 16144, 125540, 113714, 47307, 38641, 9174, 26854, 112371, 105110, 5486, 44510, 248, 16144, 118881, 29295, 109022, 126036, 107188, 31431, 51385, 95001, 20230, 125540, 113714, 47307, 30512, 105107, 67178, 54926, 105908, 108608, 55031, 38641, 9174, 14711, 116808, 248, 19732, 103803, 16144, 105509, 34171, 30512, 125261, 198, 44510, 248, 15682, 5486, 109022, 19732, 108010, 76947, 198, 122333, 165, 36246, 101662, 29295, 88367, 38641, 9174, 58426, 103846, 51385, 95001, 20230, 125540, 113714, 47307, 30512, 116602, 20834, 54926, 105908, 125545, 9174, 80673, 122333, 165, 36246, 101662, 123410, 113009, 102756, 29220, 78459, 16073, 71289, 117434, 21403, 97, 104309, 30512, 80172, 58318, 15024, 5486, 103429, 95221, 123160, 99750, 108208, 103911, 103181, 30512, 103792, 125396, 29295, 108008, 20230, 126574, 102083, 58942, 33541, 9174, 15120, 24273, 16556, 103803, 16144, 126513, 44510, 248, 20230, 57106, 115694, 108385, 21990, 118633, 16144, 64209, 55487, 32977, 83747, 103470, 5486, 113614, 112535, 165, 36246, 101662, 54926, 105908, 125545, 9174, 103698, 164, 47382, 104770, 26854, 105879, 5486, 40526, 164, 47382, 115075, 71289, 114760, 109022, 103429, 102677, 103429, 95221, 16144, 112997, 29220, 32977, 124897, 9174, 91875, 53953, 34171, 125540, 113714, 47307, 15682, 103760, 33014, 16144, 113614, 121894, 29295, 105107, 25446, 20230, 119448, 47884, 95543, 106482, 54926, 105879, 5486, 108895, 16995, 100472, 105509, 34171, 29295, 19732, 111243, 27384, 102769, 117084, 50834, 33541, 9174, 827, 106722, 37087, 30512, 37689, 109375, 54926, 198, 33208, 90397, 100, 25446, 20230, 127730, 110731, 91875, 53953, 34171, 125540, 113714, 47307, 15682, 5486, 122626, 103792, 108695, 16144, 22023, 117943, 34171, 29295, 119448, 47884, 117375, 78434, 9174, 13177, 99849, 29295, 53229, 42506, 32149, 59712, 53229, 106518, 30590, 15682, 116414, 32149, 59712, 104405, 16995, 100472, 25446, 105284, 32149, 66383, 16995, 100472, 105494, 30512, 114140, 108608, 47043, 29295, 51385, 64209, 38641, 9174, 567, 122498, 19732, 44510, 248, 16144, 8239, 114503, 30512, 125261, 198, 103803, 19732, 44510, 248, 16144, 125540, 113714, 47307, 30512, 57106, 103854, 104533, 5486, 103803, 16144, 118881, 29295, 105509, 34171, 29295, 126574, 102677, 50338, 108323, 30512, 121256, 9174, 122270, 13153, 101544, 63212, 45829, 32977, 5486, 44510, 248, 105755, 103803, 16144, 118881, 29295, 107188, 31431, 43240, 47884, 96412, 17129, 106824, 61689, 106609, 14711, 122498, 125540, 113714, 47307, 15682, 19361, 126120, 13153, 17620, 29295, 127181, 198, 103803, 15682, 105509, 34171, 29295, 126574, 105879, 5486, 118480, 114457, 76739, 62903, 22398, 30512, 116602, 20834, 54926, 110018, 16144, 198, 108055, 115686, 117120, 22649, 16144, 104010, 29295, 83747, 123733, 31431, 33541, 9174, 108055, 115686, 117120, 22649, 29295, 83747, 100604, 19732, 77693, 103378, 19361, 126120, 13153, 17620, 29295, 43240, 47884, 76739, 62903, 22398, 107809, 20230, 108618, 31431, 122603, 127919, 27479, 16144, 125540, 113714, 47307, 121711, 33541, 9174, 53900, 5486, 16, 27479, 16144, 20834, 106518, 16556, 605, 116298, 120264, 127032, 29295, 21990, 17129, 104028, 44510, 248, 113115, 39926, 5486, 103803, 15682, 198, 110904, 103892, 16144, 20834, 106518, 115717, 33541, 9174, 58426, 113009, 118480, 114457, 16144, 125173, 114218, 32977, 107188, 31431, 83747, 103470, 5486, 103803, 125540, 113714, 47307, 15682, 15308, 226, 113598, 72238, 71289, 39880, 101198, 101335, 108602, 16144, 96412, 19361, 33857, 32977, 43240, 47884, 109020, 16144, 38641, 9174, 827, 107399, 234, 8239, 114503, 29295, 45736, 47884, 109020, 198, 108895, 39926, 116602, 20834, 103646, 103803, 125540, 113714, 47307, 15682, 5486, 36827, 61994, 16144, 33563, 122539, 13153, 17620, 103195, 198, 39880, 101198, 101335, 108602, 29295, 28713, 108005, 115, 111842, 96412, 17129, 106824, 61689, 9174, 51330, 39880, 101198, 101335, 108602, 113468, 5486, 119455, 103809, 98, 111848, 57207, 102756, 123160, 120044, 101128, 102, 64121, 20230, 126574, 8239, 114503, 29295, 125494, 125545, 9174, 102717, 32149, 105352, 198, 100845, 113, 72238, 5486, 121238, 47307, 101198, 16073, 5486, 112238, 102750, 32131, 33710, 104309, 32977, 119515, 105469, 20230, 96412, 17129, 115032, 105879, 5486, 108324, 108602, 33208, 113266, 111848, 108602, 33208, 126128, 44416, 8239, 114503, 10110, 92877, 33208, 103911, 103181, 7705, 32977, 45736, 115737, 31431, 33541, 9174, 122270, 76706, 34171, 99695, 57326, 78459, 45923, 5486, 107461, 107908, 125933, 108602, 5486, 13153, 101544, 63212, 45829, 102083, 100472, 120044, 8239, 114503, 16144, 126574, 13153, 17620, 32977, 28713, 108005, 115, 31431, 38641, 106609, 567, 122498, 125540, 113714, 47307, 16556, 120044, 30512, 104792, 109415, 198, 76739, 25197, 76428, 94550, 102663, 39880, 20230, 8239, 114503, 29295, 126574, 125540, 113714, 47307, 9174, 120044, 8107, 106036, 95, 29295, 95221, 108176, 116537, 103803, 125540, 113714, 47307, 30512, 106081, 39926, 5486, 120044, 16144, 123457, 104792, 109415, 109768, 50834, 17129, 109954, 6447, 128001, 128000, 108729, 112535, 5486, 115191, 16144, 123218, 42634, 107060, 30512, 111800, 118219, 54926, 104983, 102052, 126843, 5486, 40526, 103605, 30512, 109638, 40265, 115191, 20230, 69978, 107462, 100604, 19732, 107740, 103082, 107515, 29295, 5486, 37087, 38144, 16144, 115191, 29295, 102131, 126194, 38144, 5486, 40526, 103605, 114792, 107462, 103470, 111243, 107740, 88367, 26854, 110229, 115991, 33541, 9174, 58426, 115191, 102052, 43568, 17792, 120273, 103664, 101513, 29295, 92776, 9080, 107391, 26269, 57207, 94550, 19732, 112361, 47884, 102332, 76622, 102204, 100481, 38144, 5486, 107740, 112990, 92776, 9080, 107391, 26269, 57207, 94550, 16144, 123218, 29295, 19967, 33121, 33541, 9174, 77693, 121142, 835, 44, 30512, 107740, 39926, 113801, 20834, 21105, 234, 23039, 105262, 105879, 5486, 40526, 103605, 30512, 56438, 103792, 109215, 15682, 124897, 9174, 92776, 9080, 107391, 26269, 57207, 94550, 30512, 107740, 39926, 103082, 28713, 108703, 35330, 30512, 102924, 60632, 20230, 104196, 111587, 108608, 107740, 15024, 126172, 16995, 104196, 111587, 46034, 38574, 102083, 116285, 5486, 109713, 91482, 78683, 104196, 111587, 38641, 9174, 108064, 72661, 104196, 111587, 102416, 23039, 76622, 33541, 55031, 5486, 114284, 121216, 126172, 16995, 38641, 9174, 112832, 32977, 29295, 114652, 118013, 108385, 30369, 127303, 103950, 109713, 91482, 78683, 15682, 5486, 112418, 16144, 126513, 5486, 20834, 114731, 25580, 71289, 11881, 120, 105677, 64121, 16144, 82973, 5486, 112454, 110362, 108968, 16325, 104309, 20230, 118013, 108385, 100472, 31431, 78434, 9174, 33334, 35330, 30512, 104196, 111587, 103792, 105908, 96356, 16144, 41642, 111331, 17792, 20230, 95221, 109669, 32149, 33121, 20230, 47884, 117714, 32977, 109713, 91482, 78683, 104196, 111587, 16144, 102924, 60632, 26854, 110229, 38641, 9174, 102924, 60632, 26854, 107391, 26269, 57207, 94550, 119627, 34226, 20230, 102924, 60632, 20230, 33655, 30297, 113009, 5486, 104196, 111587, 41007, 30512, 113954, 103801, 109954, 9174, 104196, 111587, 41007, 15682, 15120, 106885, 104196, 111587, 19732, 17620, 111017, 104196, 111587, 20230, 17620, 32149, 106824, 61689, 9174, 110022, 104196, 111587, 109518, 30512, 83747, 103470, 54926, 105110, 112160, 106885, 124237, 16995, 38641, 9174, 60632, 23018, 29295, 83747, 103470, 38144, 5486, 20251, 108337, 33710, 16556, 51385, 47884, 111587, 104004, 16144, 38641, 9174, 125821, 32977, 5486, 110022, 46456, 124237, 109518, 29295, 115079, 107290, 32977, 5486, 17620, 111017, 124237, 16995, 30512, 107740, 54926, 95001, 112603, 15682, 101182, 106046, 61689, 9174, 9953, 104680, 23187, 109518, 16144, 37823, 103672, 33710, 91482, 94550, 5486, 109242, 9039, 18904, 17620, 111017, 104309, 113468, 46456, 20834, 109518, 29295, 31958, 105184, 108176, 105879, 5486, 121410, 9953, 16144, 110226, 17701, 19732, 20834, 106382, 16144, 66953, 119930, 30512, 127258, 30813, 101860, 20230, 111587, 104004, 16144, 38641, 9174, 67645, 103171, 105104, 30297, 20230, 104196, 109768, 47884, 104865, 78698, 107290, 5486, 103350, 40474, 126365, 40862, 100472, 104196, 111587, 41007, 30512, 102647, 104369, 105908, 102395, 109431, 20230, 92776, 9080, 107391, 26269, 57207, 94550, 30512, 107740, 108608, 109243, 29245, 96, 123253, 9174, 106649, 16995, 117232, 16556, 23039, 30297, 31809, 40526, 16144, 35330, 109518, 106075, 103087, 103350, 23039, 30512, 107391, 26269, 57207, 94550, 103195, 30926, 113115, 15024, 5486, 101544, 23538, 16556, 23039, 30297, 27384, 40526, 16144, 35330, 109518, 106075, 103087, 30512, 123218, 42634, 107060, 19732, 120267, 5486, 105324, 102802, 24273, 20230, 124059, 32149, 106272, 121953, 115991, 33541, 9174, 38641, 55031, 5486, 38129, 54926, 110018, 15682, 53283, 109375, 103306, 102178, 111665, 39926, 33334, 105898, 16995, 92776, 9080, 107391, 26269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26854, 33563, 122539, 121432, 5486, 127194, 78683, 113883, 105623, 226, 108882, 5486, 15024, 78183, 104309, 113115, 39926, 5486, 119045, 109904, 39880, 107420, 113335, 117282, 16144, 38641, 9174, 102717, 32149, 105352, 125540, 113714, 47307, 102052, 198, 108324, 108602, 33208, 113266, 115991, 5486, 120044, 16144, 108602, 33208, 30512, 126128, 44416, 54926, 122502, 50834, 30512, 32977, 76947, 61689, 1811, 97255, 245, 108602, 33208, 113266, 107118, 198, 76706, 34171, 108602, 72238, 16144, 122502, 50834, 30512, 126128, 44416, 10110, 125845, 76706, 34171, 108602, 72238, 30512, 21418, 86436, 7705, 39926, 5486, 33014, 16144, 108602, 33208, 10110, 104023, 92877, 33208, 7705, 30512, 126128, 105262, 113266, 16144, 100909, 198, 120044, 16144, 31640, 118835, 5486, 108324, 108602, 33208, 113266, 19732, 5486, 125540, 113714, 47307, 102052, 76739, 25197, 76428, 94550, 102663, 39880, 125030, 31431, 17701, 104028, 101523, 227, 48634, 29295, 50520, 108, 17129, 103836, 16144, 38641, 9174, 125540, 113714, 47307, 16144, 120044, 8239, 114503, 198, 9458, 58666, 101828, 198, 9458, 33563, 122539, 198, 9458, 119375, 48634, 122060, 198, 9458, 108602, 33208, 126128, 44416, 198, 567, 109887, 32131, 113714, 47307, 16144, 104091, 104770, 198, 76739, 25197, 76428, 94550, 102663, 39880, 20230, 125540, 113714, 47307, 30512, 19732, 31431, 17701, 104028, 17792, 32977, 115079, 58942, 36896, 125540, 113714, 47307, 127730, 66383, 61304, 107121, 110731, 33208, 90397, 100, 25446, 30512, 114652, 91774, 32149, 105784, 101200, 115717, 79721, 9174, 67016, 21105, 251, 16144, 13177, 125540, 113714, 47307, 10646, 15682, 117119, 29295, 53229, 42506, 16144, 125540, 113714, 47307, 123253, 32149, 9174, 125540, 113714, 47307, 102052, 16995, 47884, 59739, 116421, 104091, 104770, 115991, 33541, 9174, 80539, 58426, 104091, 104770, 113468, 111476, 8239, 114503, 16144, 45736, 30813, 32977, 108010, 76947, 114732, 16144, 38641, 9174, 14711, 220, 18, 59739, 20230, 27384, 103283, 198, 126843, 110745, 50834, 47884, 17620, 76622, 104533, 13177, 91875, 53953, 34171, 59712, 117430, 34171, 59712, 56235, 106390, 34171, 117503, 18, 104091, 104770, 115717, 33541, 9174, 110382, 16556, 61633, 39926, 33334, 105898, 16995, 104468, 5486, 117430, 34171, 19732, 56235, 106390, 34171, 38641, 9174, 115371, 104770, 19732, 117430, 102052, 118480, 114457, 115991, 107515, 9174, 59739, 109709, 5486, 125540, 113714, 47307, 126636, 112495, 101523, 227, 48634, 103195, 13153, 101544, 63212, 45829, 29295, 96412, 123606, 126386, 16144, 38641, 9174, 76739, 25197, 76428, 94550, 102663, 39880, 30512, 37689, 109375, 39926, 125540, 113714, 47307, 30512, 19732, 31431, 17701, 104028, 105110, 36896, 117430, 34171, 125540, 113714, 47307, 10646, 71289, 13177, 56235, 106390, 34171, 125540, 113714, 47307, 10646, 77181, 5486, 83747, 104680, 107734, 127242, 107188, 19732, 112391, 33541, 9174, 117430, 34171, 71289, 56235, 106390, 34171, 15682, 5486, 120044, 111363, 8239, 114503, 30512, 113954, 56051, 30297, 58942, 16556, 5486, 125540, 113714, 47307, 107118, 108010, 100472, 115552, 40862, 117201, 100204, 107106, 101860, 107294, 32149, 107462, 50834, 17129, 109954, 9174, 117430, 34171, 125540, 113714, 47307, 198, 117430, 16144, 118480, 103605, 102677, 105494, 30512, 38129, 127145, 9174, 119515, 105469, 26854, 15308, 226, 113598, 72238, 10110, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 104309, 119735, 96412, 17129, 106824, 61689, 29295, 5486, 13153, 101544, 63212, 124863, 96412, 123606, 100481, 107515, 9174, 56235, 106390, 34171, 125540, 113714, 47307, 198, 11239, 113, 30512, 68379, 104004, 11239, 113, 17597, 96, 115716, 102677, 105494, 30512, 38129, 127145, 9174, 47260, 32131, 38248, 110, 16073, 5486, 107461, 107908, 125933, 108602, 102083, 100472, 13153, 17620, 29295, 96412, 17129, 106824, 61689, 29295, 5486, 13153, 101544, 63212, 124863, 96412, 123606, 100481, 107515, 9174, 827, 107964, 243, 53953, 34171, 125540, 113714, 47307, 198, 103350, 104983, 20230, 118480, 114457, 55031, 116602, 121216, 5486, 13153, 101544, 63212, 45829, 30512, 96412, 126559, 125540, 113714, 47307, 15682, 13177, 198, 91875, 53953, 34171, 125540, 113714, 47307, 66383, 95604, 100909, 115717, 33541, 9174, 80539, 91875, 53953, 34171, 125540, 113714, 47307, 16144, 53229, 42506, 104856, 104533, 5486, 123815, 5486, 44510, 248, 5486, 103803, 29295, 106691, 9554, 38641, 9174, 102433, 117409, 77181, 123815, 29295, 53229, 42506, 16144, 125540, 113714, 47307, 15682, 17701, 46034, 15024, 20230, 47884, 47884, 5486, 44510, 248, 32149, 103803, 115717, 33541, 9174, 68431, 50550, 104405, 39926, 123815, 15682, 89753, 33035, 39926, 100604, 16144, 95532, 32977, 107173, 107118, 125540, 113714, 47307, 16144, 53229, 42506, 20230, 109022, 32977, 38129, 84389, 100481, 79721, 9174, 80673, 198, 114760, 109022, 103429, 29295, 102404, 21990, 56051, 106592, 50834, 42891, 126929, 20230, 5486, 109022, 29295, 53229, 42506, 16144, 118480, 114457, 15682, 38129, 84389, 100604, 120266, 9174, 58426, 104983, 20230, 112950, 21990, 8239, 112, 122502, 66870, 55031, 13177, 114760, 109022, 103429, 29295, 102404, 21990, 103792, 125525, 109022, 71289, 123815, 16144, 118480, 114457, 15682, 59739, 124233, 100604, 104466, 66383, 95604, 114397, 125334, 28713, 16144, 38641, 9174, 112673, 118517, 26269, 80805, 77181, 123815, 125540, 113714, 47307, 29295, 126909, 119627, 123085, 117409, 16556, 122626, 110731, 123815, 125540, 113714, 47307, 15682, 115201, 17701, 25446, 19732, 78698, 107290, 72315, 9174, 108895, 56051, 115201, 17701, 25446, 16144, 123815, 125540, 113714, 47307, 30512, 38129, 54926, 126513, 5486, 114760, 109022, 103429, 29295, 102404, 21990, 109768, 100604, 29504, 10110, 90962, 125913, 32131, 104612, 5486, 118331, 78767, 108994, 102860, 106518, 7705, 29295, 5486, 125261, 9554, 105509, 34171, 29295, 126574, 19732, 116216, 61689, 9174, 567, 107964, 243, 53953, 34171, 15682, 105509, 34171, 29295, 27384, 102769, 198, 117409, 77181, 44510, 248, 32149, 109022, 29295, 53229, 42506, 16144, 125540, 113714, 47307, 29295, 122626, 110731, 113334, 119627, 5486, 121819, 105987, 112535, 127181, 104468, 44510, 248, 29295, 53229, 42506, 16144, 125540, 113714, 47307, 38641, 9174, 26854, 112371, 105110, 5486, 44510, 248, 16144, 118881, 29295, 109022, 126036, 107188, 31431, 51385, 95001, 20230, 125540, 113714, 47307, 30512, 105107, 67178, 54926, 105908, 108608, 55031, 38641, 9174, 14711, 116808, 248, 19732, 103803, 16144, 105509, 34171, 30512, 125261, 198, 44510, 248, 15682, 5486, 109022, 19732, 108010, 76947, 198, 122333, 165, 36246, 101662, 29295, 88367, 38641, 9174, 58426, 103846, 51385, 95001, 20230, 125540, 113714, 47307, 30512, 116602, 20834, 54926, 105908, 125545, 9174, 80673, 122333, 165, 36246, 101662, 123410, 113009, 102756, 29220, 78459, 16073, 71289, 117434, 21403, 97, 104309, 30512, 80172, 58318, 15024, 5486, 103429, 95221, 123160, 99750, 108208, 103911, 103181, 30512, 103792, 125396, 29295, 108008, 20230, 126574, 102083, 58942, 33541, 9174, 15120, 24273, 16556, 103803, 16144, 126513, 44510, 248, 20230, 57106, 115694, 108385, 21990, 118633, 16144, 64209, 55487, 32977, 83747, 103470, 5486, 113614, 112535, 165, 36246, 101662, 54926, 105908, 125545, 9174, 103698, 164, 47382, 104770, 26854, 105879, 5486, 40526, 164, 47382, 115075, 71289, 114760, 109022, 103429, 102677, 103429, 95221, 16144, 112997, 29220, 32977, 124897, 9174, 91875, 53953, 34171, 125540, 113714, 47307, 15682, 103760, 33014, 16144, 113614, 121894, 29295, 105107, 25446, 20230, 119448, 47884, 95543, 106482, 54926, 105879, 5486, 108895, 16995, 100472, 105509, 34171, 29295, 19732, 111243, 27384, 102769, 117084, 50834, 33541, 9174, 827, 106722, 37087, 30512, 37689, 109375, 54926, 198, 33208, 90397, 100, 25446, 20230, 127730, 110731, 91875, 53953, 34171, 125540, 113714, 47307, 15682, 5486, 122626, 103792, 108695, 16144, 22023, 117943, 34171, 29295, 119448, 47884, 117375, 78434, 9174, 13177, 99849, 29295, 53229, 42506, 32149, 59712, 53229, 106518, 30590, 15682, 116414, 32149, 59712, 104405, 16995, 100472, 25446, 105284, 32149, 66383, 16995, 100472, 105494, 30512, 114140, 108608, 47043, 29295, 51385, 64209, 38641, 9174, 567, 122498, 19732, 44510, 248, 16144, 8239, 114503, 30512, 125261, 198, 103803, 19732, 44510, 248, 16144, 125540, 113714, 47307, 30512, 57106, 103854, 104533, 5486, 103803, 16144, 118881, 29295, 105509, 34171, 29295, 126574, 102677, 50338, 108323, 30512, 121256, 9174, 122270, 13153, 101544, 63212, 45829, 32977, 5486, 44510, 248, 105755, 103803, 16144, 118881, 29295, 107188, 31431, 43240, 47884, 96412, 17129, 106824, 61689, 106609, 14711, 122498, 125540, 113714, 47307, 15682, 19361, 126120, 13153, 17620, 29295, 127181, 198, 103803, 15682, 105509, 34171, 29295, 126574, 105879, 5486, 118480, 114457, 76739, 62903, 22398, 30512, 116602, 20834, 54926, 110018, 16144, 198, 108055, 115686, 117120, 22649, 16144, 104010, 29295, 83747, 123733, 31431, 33541, 9174, 108055, 115686, 117120, 22649, 29295, 83747, 100604, 19732, 77693, 103378, 19361, 126120, 13153, 17620, 29295, 43240, 47884, 76739, 62903, 22398, 107809, 20230, 108618, 31431, 122603, 127919, 27479, 16144, 125540, 113714, 47307, 121711, 33541, 9174, 53900, 5486, 16, 27479, 16144, 20834, 106518, 16556, 605, 116298, 120264, 127032, 29295, 21990, 17129, 104028, 44510, 248, 113115, 39926, 5486, 103803, 15682, 198, 110904, 103892, 16144, 20834, 106518, 115717, 33541, 9174, 58426, 113009, 118480, 114457, 16144, 125173, 114218, 32977, 107188, 31431, 83747, 103470, 5486, 103803, 125540, 113714, 47307, 15682, 15308, 226, 113598, 72238, 71289, 39880, 101198, 101335, 108602, 16144, 96412, 19361, 33857, 32977, 43240, 47884, 109020, 16144, 38641, 9174, 827, 107399, 234, 8239, 114503, 29295, 45736, 47884, 109020, 198, 108895, 39926, 116602, 20834, 103646, 103803, 125540, 113714, 47307, 15682, 5486, 36827, 61994, 16144, 33563, 122539, 13153, 17620, 103195, 198, 39880, 101198, 101335, 108602, 29295, 28713, 108005, 115, 111842, 96412, 17129, 106824, 61689, 9174, 51330, 39880, 101198, 101335, 108602, 113468, 5486, 119455, 103809, 98, 111848, 57207, 102756, 123160, 120044, 101128, 102, 64121, 20230, 126574, 8239, 114503, 29295, 125494, 125545, 9174, 102717, 32149, 105352, 198, 100845, 113, 72238, 5486, 121238, 47307, 101198, 16073, 5486, 112238, 102750, 32131, 33710, 104309, 32977, 119515, 105469, 20230, 96412, 17129, 115032, 105879, 5486, 108324, 108602, 33208, 113266, 111848, 108602, 33208, 126128, 44416, 8239, 114503, 10110, 92877, 33208, 103911, 103181, 7705, 32977, 45736, 115737, 31431, 33541, 9174, 122270, 76706, 34171, 99695, 57326, 78459, 45923, 5486, 107461, 107908, 125933, 108602, 5486, 13153, 101544, 63212, 45829, 102083, 100472, 120044, 8239, 114503, 16144, 126574, 13153, 17620, 32977, 28713, 108005, 115, 31431, 38641, 106609, 567, 122498, 125540, 113714, 47307, 16556, 120044, 30512, 104792, 109415, 198, 76739, 25197, 76428, 94550, 102663, 39880, 20230, 8239, 114503, 29295, 126574, 125540, 113714, 47307, 9174, 120044, 8107, 106036, 95, 29295, 95221, 108176, 116537, 103803, 125540, 113714, 47307, 30512, 106081, 39926, 5486, 120044, 16144, 123457, 104792, 109415, 109768, 50834, 17129, 109954, 6447, 128001, 128000, 108729, 112535, 5486, 115191, 16144, 123218, 42634, 107060, 30512, 111800, 118219, 54926, 104983, 102052, 126843, 5486, 40526, 103605, 30512, 109638, 40265, 115191, 20230, 69978, 107462, 100604, 19732, 107740, 103082, 107515, 29295, 5486, 37087, 38144, 16144, 115191, 29295, 102131, 126194, 38144, 5486, 40526, 103605, 114792, 107462, 103470, 111243, 107740, 88367, 26854, 110229, 115991, 33541, 9174, 58426, 115191, 102052, 43568, 17792, 120273, 103664, 101513, 29295, 92776, 9080, 107391, 26269, 57207, 94550, 19732, 112361, 47884, 102332, 76622, 102204, 100481, 38144, 5486, 107740, 112990, 92776, 9080, 107391, 26269, 57207, 94550, 16144, 123218, 29295, 19967, 33121, 33541, 9174, 77693, 121142, 835, 44, 30512, 107740, 39926, 113801, 20834, 21105, 234, 23039, 105262, 105879, 5486, 40526, 103605, 30512, 56438, 103792, 109215, 15682, 124897, 9174, 92776, 9080, 107391, 26269, 57207, 94550, 30512, 107740, 39926, 103082, 28713, 108703, 35330, 30512, 102924, 60632, 20230, 104196, 111587, 108608, 107740, 15024, 126172, 16995, 104196, 111587, 46034, 38574, 102083, 116285, 5486, 109713, 91482, 78683, 104196, 111587, 38641, 9174, 108064, 72661, 104196, 111587, 102416, 23039, 76622, 33541, 55031, 5486, 114284, 121216, 126172, 16995, 38641, 9174, 112832, 32977, 29295, 114652, 118013, 108385, 30369, 127303, 103950, 109713, 91482, 78683, 15682, 5486, 112418, 16144, 126513, 5486, 20834, 114731, 25580, 71289, 11881, 120, 105677, 64121, 16144, 82973, 5486, 112454, 110362, 108968, 16325, 104309, 20230, 118013, 108385, 100472, 31431, 78434, 9174, 33334, 35330, 30512, 104196, 111587, 103792, 105908, 96356, 16144, 41642, 111331, 17792, 20230, 95221, 109669, 32149, 33121, 20230, 47884, 117714, 32977, 109713, 91482, 78683, 104196, 111587, 16144, 102924, 60632, 26854, 110229, 38641, 9174, 102924, 60632, 26854, 107391, 26269, 57207, 94550, 119627, 34226, 20230, 102924, 60632, 20230, 33655, 30297, 113009, 5486, 104196, 111587, 41007, 30512, 113954, 103801, 109954, 9174, 104196, 111587, 41007, 15682, 15120, 106885, 104196, 111587, 19732, 17620, 111017, 104196, 111587, 20230, 17620, 32149, 106824, 61689, 9174, 110022, 104196, 111587, 109518, 30512, 83747, 103470, 54926, 105110, 112160, 106885, 124237, 16995, 38641, 9174, 60632, 23018, 29295, 83747, 103470, 38144, 5486, 20251, 108337, 33710, 16556, 51385, 47884, 111587, 104004, 16144, 38641, 9174, 125821, 32977, 5486, 110022, 46456, 124237, 109518, 29295, 115079, 107290, 32977, 5486, 17620, 111017, 124237, 16995, 30512, 107740, 54926, 95001, 112603, 15682, 101182, 106046, 61689, 9174, 9953, 104680, 23187, 109518, 16144, 37823, 103672, 33710, 91482, 94550, 5486, 109242, 9039, 18904, 17620, 111017, 104309, 113468, 46456, 20834, 109518, 29295, 31958, 105184, 108176, 105879, 5486, 121410, 9953, 16144, 110226, 17701, 19732, 20834, 106382, 16144, 66953, 119930, 30512, 127258, 30813, 101860, 20230, 111587, 104004, 16144, 38641, 9174, 67645, 103171, 105104, 30297, 20230, 104196, 109768, 47884, 104865, 78698, 107290, 5486, 103350, 40474, 126365, 40862, 100472, 104196, 111587, 41007, 30512, 102647, 104369, 105908, 102395, 109431, 20230, 92776, 9080, 107391, 26269, 57207, 94550, 30512, 107740, 108608, 109243, 29245, 96, 123253, 9174, 106649, 16995, 117232, 16556, 23039, 30297, 31809, 40526, 16144, 35330, 109518, 106075, 103087, 103350, 23039, 30512, 107391, 26269, 57207, 94550, 103195, 30926, 113115, 15024, 5486, 101544, 23538, 16556, 23039, 30297, 27384, 40526, 16144, 35330, 109518, 106075, 103087, 30512, 123218, 42634, 107060, 19732, 120267, 5486, 105324, 102802, 24273, 20230, 124059, 32149, 106272, 121953, 115991, 33541, 9174, 38641, 55031, 5486, 38129, 54926, 110018, 15682, 53283, 109375, 103306, 102178, 111665, 39926, 33334, 105898, 16995, 92776, 9080, 107391, 26269 ]
[ 57207, 94550, 16144, 104662, 109709, 30926, 103306, 104196, 111587, 41007, 15682, 102048, 234, 9953, 16144, 104662, 62004, 109115, 117816, 15120, 106885, 16556, 124237, 30297, 30926, 115717, 33541, 29295, 5486, 123218, 42634, 107060, 16144, 126513, 5486, 101544, 23538, 109904, 37823, 103672, 124237, 117201, 104196, 111587, 88367, 38641, 9174, 85701, 112212, 5486, 107740, 54926, 104983, 16144, 35330, 60632, 15682, 104405, 120837, 123218, 42634, 107060, 118816, 45736, 47884, 59739, 50834, 33541, 9174, 85701, 15682, 123218, 42634, 107060, 20230, 119379, 56051, 87177, 77181, 124897, 29295, 108948, 35330, 30512, 108703, 31431, 30369, 107803, 5486, 110726, 17663, 110366, 125030, 76947, 15120, 87217, 27384, 102769, 26854, 100909, 19732, 78244, 116285, 5486, 108703, 31431, 30369, 114754, 108056, 19732, 104196, 111587, 108608, 104865, 106116, 106556, 107407, 104865, 102677, 100909, 38641, 123794, 9174, 58426, 101399, 20230, 115847, 55031, 126783, 42634, 107060, 16144, 106075, 103087, 30512, 113727, 100934, 24273, 15682, 5486, 66953, 116099, 25197, 48552, 117859, 112984, 30512, 107740, 109768, 104533, 5486, 28873, 28713, 39926, 126783, 42634, 107060, 104196, 111587, 16144, 103911, 23187, 29295, 80195, 59739, 104865, 106116, 105933, 106556, 107407, 104865, 104405, 32149, 5486, 102083, 100472, 127408, 31634, 72238, 29295, 108618, 30369, 103846, 5486, 72368, 40862, 29295, 109161, 16995, 19732, 78244, 58942, 33541, 101832, 9174, 92776, 9080, 107391, 26269, 57207, 94550, 30512, 107740, 54926, 104983, 20230, 95221, 108176, 29220, 44971, 107461, 22398, 109853, 119627, 5486, 29220, 44971, 107461, 22398, 102677, 104468, 13177, 29220, 44971, 76428, 67075, 107461, 71634, 102540, 117503, 66870, 105838, 83799, 116787, 115847, 103296, 20230, 30591, 112568, 29295, 107740, 56051, 92776, 9080, 107391, 26269, 57207, 94550, 16144, 123259, 114172, 30512, 16995, 61689, 9174, 107391, 26269, 57207, 94550, 117824, 100472, 74482, 5486, 108056, 19732, 46456, 124237, 16995, 29295, 47406, 111587, 103082, 104984, 51330, 29220, 44971, 107461, 22398, 32977, 100990, 118, 114758, 26854, 102944, 108176, 105879, 115515, 123470, 107391, 26269, 57207, 94550, 107740, 125344, 117859, 112984, 105352, 19361, 60632, 117084, 50834, 33541, 9174, 108895, 95604, 114667, 107407, 105879, 29220, 44971, 107461, 22398, 102677, 104468, 27384, 30926, 26854, 102944, 126529, 38641, 9174, 29220, 44971, 107461, 22398, 30512, 114218, 47000, 105784, 109337, 73597, 252, 102052, 120700, 104699, 33121, 32977, 61633, 39926, 23538, 9080, 123727, 104196, 111587, 30512, 106154, 30369, 104466, 103801, 109954, 9174, 17039, 28713, 26854, 108695, 16556, 92776, 9080, 107391, 26269, 57207, 94550, 30512, 102782, 15024, 104526, 104004, 110018, 5486, 32977, 21105, 224, 112568, 29295, 103188, 86436, 20230, 43511, 61337, 16556, 108703, 31431, 28713, 105908, 101182, 107803, 5486, 127762, 30358, 26854, 122225, 29295, 32018, 62004, 102204, 33541, 9174, 109337, 73597, 252, 123160, 123429, 114172, 29295, 108618, 107462, 104533, 17039, 102800, 42634, 107060, 16144, 117859, 112984, 102052, 108502, 104698, 108176, 32149, 110241, 33121, 107515, 9174, 109337, 73597, 252, 16325, 72661, 108703, 31431, 109115, 126465, 120937, 113334, 111769, 119627, 5486, 118664, 102181, 104770, 29295, 43240, 115737, 100472, 31431, 5486, 35330, 60632, 28190, 16556, 108881, 31431, 40862, 16995, 29295, 59739, 126660, 104309, 50034, 115590, 26854, 109606, 28542, 32977, 20834, 38144, 109749, 123253, 9174, 40526, 103605, 108618, 45736, 127242, 111848, 106649, 23538, 16144, 109337, 73597, 252, 105110, 107173, 32149, 47884, 5486, 18, 113746, 30512, 72404, 105262, 109337, 73597, 252, 107407, 110018, 15682, 5486, 17129, 107173, 26854, 114734, 101275, 30046, 117758, 17039, 106045, 108703, 17701, 15682, 102717, 109416, 43568, 22649, 118816, 78698, 107800, 118881, 29295, 126521, 38641, 9174, 92776, 9080, 107391, 26269, 57207, 94550, 15682, 110226, 17701, 30512, 50928, 100934, 105879, 30591, 104984, 5486, 36668, 122924, 72661, 33655, 30297, 105908, 108608, 16144, 38641, 9174, 110226, 17701, 30512, 50928, 126386, 116537, 107740, 103082, 32149, 101832, 30369, 105879, 117119, 32149, 57980, 16995, 41007, 124905, 76947, 110226, 17701, 19732, 64121, 26854, 107001, 102944, 126694, 30369, 104466, 39926, 72315, 9174, 110226, 17701, 30512, 50928, 100934, 19732, 122225, 103646, 33503, 5486, 36668, 122924, 120332, 72661, 107740, 125545, 9174, 29220, 44971, 76428, 67075, 123218, 126694, 30369, 104983, 20230, 92776, 9080, 107391, 26269, 57207, 94550, 20119, 254, 16144, 48706, 30512, 107750, 99397, 20230, 91763, 125167, 24273, 32977, 107991, 16144, 111769, 123253, 32149, 9174, 85701, 15682, 58426, 13372, 16144, 121640, 102321, 35330, 30512, 110726, 120837, 33503, 105262, 125175, 38641, 9174, 107740, 30512, 110526, 54926, 107803, 5486, 102782, 15024, 121423, 16144, 126101, 92776, 9080, 107391, 26269, 57207, 94550, 20119, 254, 16144, 110526, 48249, 27479, 109518, 30512, 61304, 17701, 78434, 9174, 72661, 5486, 101275, 112919, 117859, 112984, 113702, 113468, 15682, 5486, 92776, 9080, 107391, 26269, 57207, 94550, 20119, 254, 30512, 47000, 107441, 32977, 33503, 119841, 115789, 101182, 123253, 9174, 30591, 47884, 103296, 8107, 110226, 50667, 16144, 18, 17620, 16144, 16, 103296, 67016, 108703, 31431, 17701, 104028, 105908, 118765, 110022, 33857, 106045, 44416, 111848, 44416, 48249, 55031, 47000, 58318, 84389, 100604, 126465, 32977, 127181, 38641, 9174, 77693, 20230, 5486, 57106, 115694, 64121, 104533, 114734, 101513, 97518, 29295, 104908, 103792, 92776, 9080, 107391, 26269, 57207, 94550, 125175, 105755, 5486, 29220, 44971, 76428, 67075, 108695, 16144, 92776, 9080, 107391, 26269, 57207, 94550, 20119, 254, 120332, 29295, 60632, 96455, 29295, 45736, 62004, 16144, 53610, 107253, 117084, 61689, 9174, 103572, 38574, 55031, 33655, 103836, 29220, 44971, 76428, 67075, 123218, 16556, 92776, 9080, 107391, 26269, 57207, 94550, 32977, 103082, 104533, 102924, 60632, 77181, 57903, 33541, 29295, 5486, 126843, 15682, 119695, 103927, 103202, 122481, 71289, 108134, 116229, 16556, 127177, 125175, 19732, 91774, 57106, 115694, 55031, 48154, 116907, 16144, 78683, 106240, 20230, 117989, 100472, 125175, 30512, 102647, 104369, 104466, 103801, 109954, 9174, 115191, 39276, 92776, 9080, 107391, 26269, 57207, 94550, 29295, 101335, 113155, 116099, 39276, 92776, 9080, 107391, 26269, 57207, 94550, 105755, 104622, 115032, 28542, 15682, 5486, 60632, 96455, 29295, 103167, 102334, 62004, 5486, 103167, 35330, 60632, 16556, 111587, 104004, 102677, 118733, 109954, 9174, 77693, 20230, 5486, 110022, 33857, 106045, 44416, 10110, 108703, 17701, 48249, 27479, 109518, 29295, 112366, 72661, 8107, 110226, 16144, 18, 17620, 16144, 16, 103296, 19732, 107001, 100909, 7705, 115991, 107515, 55031, 5486, 101335, 113155, 116099, 39276, 16144, 107391, 26269, 57207, 94550, 19732, 125261, 112990, 5486, 108703, 17701, 48249, 27479, 109518, 29295, 43240, 62004, 38641, 9174, 102782, 15024, 121423, 16144, 82973, 115351, 29295, 103856, 118145, 5486, 92776, 9080, 106075, 103087, 32977, 88367, 26854, 110229, 29295, 43240, 47884, 5486, 115191, 106644, 58942, 16144, 51385, 64209, 99750, 19732, 22023, 117943, 99750, 15682, 119448, 16995, 38641, 9174, 122270, 5486, 115191, 39276, 16144, 92776, 9080, 107391, 26269, 57207, 94550, 15682, 107740, 108608, 116531, 120915, 126835, 16144, 9039, 29295, 121771, 98369, 57903, 5486, 32335, 108385, 111331, 109713, 91482, 78683, 116531, 120915, 126835, 29295, 33655, 105262, 115789, 127181, 105879, 5486, 60632, 102924, 34171, 29295, 107188, 31431, 45736, 115737, 31431, 33541, 9174, 117859, 112984, 15682, 110631, 47884, 100604, 105879, 5486, 103350, 104983, 107898, 35330, 30512, 108703, 31431, 110071, 105184, 96455, 15682, 103167, 115737, 76947, 103801, 61689, 29295, 5486, 117859, 112984, 30512, 80805, 22398, 108608, 101200, 105110, 5486, 115191, 39276, 107391, 26269, 57207, 94550, 16144, 106075, 103087, 114475, 107674, 24273, 29295, 102924, 60632, 20230, 76706, 11883, 108608, 16144, 111769, 123253, 32149, 9174, 106075, 103087, 114475, 105784, 114734, 101513, 97518, 113468, 108703, 125639, 88367, 26854, 48249, 27479, 109518, 102677, 102944, 29295, 104662, 17129, 76947, 61689, 29295, 5486, 9039, 103633, 35757, 102083, 100472, 31809, 109518, 112197, 35330, 55031, 58426, 117816, 108703, 31431, 110071, 92776, 9080, 106075, 103087, 15682, 32977, 43514, 85791, 25827, 5486, 3101, 110743, 71289, 2636, 110743, 102083, 100472, 45736, 109518, 26854, 123011, 117864, 33334, 35330, 32977, 102782, 121423, 30813, 58942, 50834, 43514, 127842, 103082, 104984, 101682, 76622, 102204, 33541, 9174, 102782, 121423, 30512, 39926, 117758, 82973, 32977, 102717, 19732, 124592, 32149, 32149, 101860, 5486, 117271, 32977, 22398, 91062, 106240, 16556, 5486, 114225, 20230, 46034, 24186, 107898, 35330, 29295, 109948, 47884, 105879, 27384, 104721, 102924, 60632, 118816, 107740, 30046, 32977, 115079, 107290, 61689, 9174, 108895, 56051, 102782, 109311, 32977, 37271, 77181, 123218, 16556, 106084, 30369, 102677, 112973, 37271, 77181, 108729, 104856, 76947, 61689, 9174, 14711, 126159, 101198, 22398, 16556, 110589, 33334, 35330, 108703, 31431, 30369, 46034, 110480, 19732, 61633, 28542, 198, 123218, 42634, 107060, 16144, 117859, 112984, 29295, 110631, 16995, 110229, 15682, 116414, 123253, 32149, 9174, 104873, 115694, 64121, 104533, 105465, 36827, 22398, 113390, 118517, 107060, 15682, 127177, 123218, 42634, 107060, 108695, 126036, 5486, 43240, 119064, 114754, 117859, 112984, 30512, 80805, 22398, 103792, 117840, 9174, 39850, 37823, 67075, 103306, 15682, 5486, 105465, 36827, 115191, 20230, 40526, 103605, 125523, 102332, 54926, 118733, 5486, 110726, 47000, 35330, 120938, 48249, 30512, 45736, 47884, 120837, 33503, 30297, 30926, 29295, 125545, 9174, 112832, 72661, 40526, 103605, 15682, 87447, 102332, 125545, 55031, 5486, 36668, 122924, 71289, 103167, 110226, 17701, 120332, 32977, 105465, 36827, 115191, 20230, 40526, 103605, 32977, 19967, 100472, 24273, 29295, 126521, 38641, 9174, 95221, 108176, 35330, 60632, 16144, 111017, 40862, 32977, 5486, 127177, 123218, 42634, 107060, 108695, 19732, 104721, 116547, 100604, 38641, 9174, 122270, 5486, 110726, 47000, 35330, 109518, 29295, 966, 110743, 23897, 32943, 127303, 104984, 5486, 104196, 111587, 15682, 37823, 103672, 124237, 117201, 2636, 15, 35757, 55031, 104856, 76947, 108086, 5486, 125261, 9554, 105465, 118816, 78244, 58942, 33541, 9174, 13177, 103001, 246, 16144, 102782, 58655, 30512, 39926, 123218, 42634, 107060, 16144, 117859, 112984, 20230, 33035, 100472, 66383, 95604, 87177, 30512, 28713, 17129, 20230, 104655, 50834, 50834, 33541, 29295, 108048, 15682, 120115, 33208, 117382, 16144, 87177, 16144, 117840, 9174, 30926, 103350, 103378, 78244, 116285, 108048, 15682, 77693, 121142, 113293, 25333, 17905, 16144, 108789, 10110, 19361, 104371, 86127, 17161, 102181, 49691, 121, 67178, 7705, 115717, 33541, 9174, 90620, 5486, 117859, 112984, 126867, 102404, 112854, 56051, 103306, 32977, 108695, 103306, 15682, 101307, 104698, 29295, 39442, 61994, 20230, 103181, 102639, 28713, 105879, 116898, 43514, 16995, 43514, 119642, 20230, 89046, 117139, 21105, 103, 118544, 110241, 33121, 107515, 9174, 80673, 103350, 104698, 29295, 30591, 104984, 101307, 104698, 109948, 125334, 107001, 123253, 15024, 5486, 50520, 238, 25666, 39926, 106075, 103087, 114475, 105784, 10110, 101682, 76622, 110071, 7705, 109335, 126843, 5486, 100604, 16144, 111769, 123253, 32149, 9174, 77693, 16556, 103768, 103424, 47884, 10110, 11571, 7705, 117859, 112984, 20230, 33035, 100472, 31431, 127564, 126738, 27384, 104721, 38641, 9174, 66953, 44971, 28713, 39177, 28542, 16556, 11144, 37087, 109518, 15120, 106885, 104196, 111587, 11199, 108176, 116497, 119627, 5486, 126920, 15120, 106885, 16556, 104196, 72342, 33541, 32149, 11571, 35330, 103842, 255, 16144, 110726, 108703, 15682, 122975, 18655, 73686, 38641, 9174, 104004, 75694, 104004, 75694, 115364, 122975, 20230, 114218, 116825, 105784, 109335, 71289, 107436, 72315, 9174, 33334, 35330, 29295, 109215, 26854, 110018, 5486, 107391, 26269, 57207, 94550, 30512, 119607, 106046, 61689, 123794, 9174, 125743, 5486, 117859, 112984, 107407, 55031, 104405, 119607, 19732, 5486, 107391, 26269, 57207, 94550, 30512, 103846, 33503, 30297, 17792, 32977, 83747, 103470, 120937, 16144, 111769, 123253, 32149, 9174, 117859, 112984, 20230, 120175, 30369, 116537, 110101, 48552, 124766, 20230, 120613, 107407, 32149, 5486, 43568, 107430, 16144, 107803, 29295, 127181, 38641, 9174, 117876, 107294, 16995, 100481, 38144, 110226, 17701, 115991, 5486, 110101, 48552, 124766, 20230, 120613, 119703, 24273, 15682, 5486, 64209, 55487, 21105, 103, 117201, 117859, 112984, 114475, 107441, 64121, 30369, 106592, 33334, 115893, 62004, 78434, 9174, 108703, 31431, 125639, 16144, 71289, 31431, 103188, 105557, 15682, 109688, 117126, 38641, 9174, 26854, 112371, 105110, 123334, 29295, 38144, 101427, 113, 102781, 30512, 109242, 9039, 108623, 107290, 114732, 121894, 108176, 55031, 38641, 9174, 26854, 112371, 105110, 112160, 61337, 55031, 108703, 31431, 125639, 108608, 33334, 35330, 102052, 104662, 62004, 109115, 106075, 103087, 109518, 115991, 33541, 123794, 9174, 77693, 106644, 58942, 5486, 104196, 111587, 9080, 101983, 104984, 5486, 104196, 17663, 103846, 112197, 35330, 30512, 43511, 20230, 104873, 104067, 108608, 30591, 38144, 30512, 106767, 30813, 100604, 102083, 124324, 16144, 38641, 9174, 30358, 101832, 100481, 76622, 81219, 16995, 47884, 108680, 5486, 43240, 30358, 101427, 113, 102781, 30046, 29295, 106084, 115442, 31431, 33541, 9174, 107420, 101198, 117718, 107391, 26269, 57207, 94550, 60868, 113649, 117718, 117859, 112984, 15682, 5486, 114731, 102781, 61826, 71289, 25132, 229, 11883, 83799, 107328, 5486, 122013, 106391, 13153, 71289, 110226, 17701, 16144, 51385, 23187, 34171, 104309, 55031, 104196, 111587, 106556, 16144, 19361, 43568, 30512, 75146, 107253, 20230, 122225, 84389, 33541, 9174, 108703, 17701, 35330, 16144, 33655, 16995, 45893, 109853, 15682, 5486, 117859, 112984, 16144, 103359, 47523, 111769, 105879, 5486, 67645, 120950, 100909, 107898, 35330, 124905, 33334, 30297, 19732, 48154, 116907, 16556, 104662, 109315, 105908, 125545, 9174, 59739, 109709, 5486, 104196, 111587, 23538, 48249, 30813, 58942, 106154, 104984, 44971, 106901, 11972, 123160, 109739, 109834, 106382, 11883, 20230, 105843, 38144, 111243, 103424, 117714, 38641, 9174, 107118, 16995, 58942, 5486, 104196, 111587, 9080, 15682, 50834, 43514, 127842, 106154, 76947, 33334, 50834, 17129, 109954, 9174, 20713, 9080, 72661, 73597, 252, 108446, 112990, 30250, 227, 109337, 125173, 104698, 35330, 29295, 102404, 21990, 78434, 9174, 104196, 111587, 29295, 127637, 16556, 108608, 120264, 16144, 83747, 109518, 107391, 26269, 57207, 94550, 127303, 104984, 5486, 60632, 23018, 29295, 57326, 112718, 84389, 100604, 43568, 60632, 23018, 117232, 107407, 114734, 101275, 30046, 30512, 102647, 104127, 17905, 124475, 33655, 107462, 126145, 126521, 106046, 61689, 9174, 104662, 62004, 109115, 43568, 60632, 23018, 117232, 32943, 20230, 37087, 109518, 15120, 106885, 104196, 111587 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 57207, 94550, 16144, 104662, 109709, 30926, 103306, 104196, 111587, 41007, 15682, 102048, 234, 9953, 16144, 104662, 62004, 109115, 117816, 15120, 106885, 16556, 124237, 30297, 30926, 115717, 33541, 29295, 5486, 123218, 42634, 107060, 16144, 126513, 5486, 101544, 23538, 109904, 37823, 103672, 124237, 117201, 104196, 111587, 88367, 38641, 9174, 85701, 112212, 5486, 107740, 54926, 104983, 16144, 35330, 60632, 15682, 104405, 120837, 123218, 42634, 107060, 118816, 45736, 47884, 59739, 50834, 33541, 9174, 85701, 15682, 123218, 42634, 107060, 20230, 119379, 56051, 87177, 77181, 124897, 29295, 108948, 35330, 30512, 108703, 31431, 30369, 107803, 5486, 110726, 17663, 110366, 125030, 76947, 15120, 87217, 27384, 102769, 26854, 100909, 19732, 78244, 116285, 5486, 108703, 31431, 30369, 114754, 108056, 19732, 104196, 111587, 108608, 104865, 106116, 106556, 107407, 104865, 102677, 100909, 38641, 123794, 9174, 58426, 101399, 20230, 115847, 55031, 126783, 42634, 107060, 16144, 106075, 103087, 30512, 113727, 100934, 24273, 15682, 5486, 66953, 116099, 25197, 48552, 117859, 112984, 30512, 107740, 109768, 104533, 5486, 28873, 28713, 39926, 126783, 42634, 107060, 104196, 111587, 16144, 103911, 23187, 29295, 80195, 59739, 104865, 106116, 105933, 106556, 107407, 104865, 104405, 32149, 5486, 102083, 100472, 127408, 31634, 72238, 29295, 108618, 30369, 103846, 5486, 72368, 40862, 29295, 109161, 16995, 19732, 78244, 58942, 33541, 101832, 9174, 92776, 9080, 107391, 26269, 57207, 94550, 30512, 107740, 54926, 104983, 20230, 95221, 108176, 29220, 44971, 107461, 22398, 109853, 119627, 5486, 29220, 44971, 107461, 22398, 102677, 104468, 13177, 29220, 44971, 76428, 67075, 107461, 71634, 102540, 117503, 66870, 105838, 83799, 116787, 115847, 103296, 20230, 30591, 112568, 29295, 107740, 56051, 92776, 9080, 107391, 26269, 57207, 94550, 16144, 123259, 114172, 30512, 16995, 61689, 9174, 107391, 26269, 57207, 94550, 117824, 100472, 74482, 5486, 108056, 19732, 46456, 124237, 16995, 29295, 47406, 111587, 103082, 104984, 51330, 29220, 44971, 107461, 22398, 32977, 100990, 118, 114758, 26854, 102944, 108176, 105879, 115515, 123470, 107391, 26269, 57207, 94550, 107740, 125344, 117859, 112984, 105352, 19361, 60632, 117084, 50834, 33541, 9174, 108895, 95604, 114667, 107407, 105879, 29220, 44971, 107461, 22398, 102677, 104468, 27384, 30926, 26854, 102944, 126529, 38641, 9174, 29220, 44971, 107461, 22398, 30512, 114218, 47000, 105784, 109337, 73597, 252, 102052, 120700, 104699, 33121, 32977, 61633, 39926, 23538, 9080, 123727, 104196, 111587, 30512, 106154, 30369, 104466, 103801, 109954, 9174, 17039, 28713, 26854, 108695, 16556, 92776, 9080, 107391, 26269, 57207, 94550, 30512, 102782, 15024, 104526, 104004, 110018, 5486, 32977, 21105, 224, 112568, 29295, 103188, 86436, 20230, 43511, 61337, 16556, 108703, 31431, 28713, 105908, 101182, 107803, 5486, 127762, 30358, 26854, 122225, 29295, 32018, 62004, 102204, 33541, 9174, 109337, 73597, 252, 123160, 123429, 114172, 29295, 108618, 107462, 104533, 17039, 102800, 42634, 107060, 16144, 117859, 112984, 102052, 108502, 104698, 108176, 32149, 110241, 33121, 107515, 9174, 109337, 73597, 252, 16325, 72661, 108703, 31431, 109115, 126465, 120937, 113334, 111769, 119627, 5486, 118664, 102181, 104770, 29295, 43240, 115737, 100472, 31431, 5486, 35330, 60632, 28190, 16556, 108881, 31431, 40862, 16995, 29295, 59739, 126660, 104309, 50034, 115590, 26854, 109606, 28542, 32977, 20834, 38144, 109749, 123253, 9174, 40526, 103605, 108618, 45736, 127242, 111848, 106649, 23538, 16144, 109337, 73597, 252, 105110, 107173, 32149, 47884, 5486, 18, 113746, 30512, 72404, 105262, 109337, 73597, 252, 107407, 110018, 15682, 5486, 17129, 107173, 26854, 114734, 101275, 30046, 117758, 17039, 106045, 108703, 17701, 15682, 102717, 109416, 43568, 22649, 118816, 78698, 107800, 118881, 29295, 126521, 38641, 9174, 92776, 9080, 107391, 26269, 57207, 94550, 15682, 110226, 17701, 30512, 50928, 100934, 105879, 30591, 104984, 5486, 36668, 122924, 72661, 33655, 30297, 105908, 108608, 16144, 38641, 9174, 110226, 17701, 30512, 50928, 126386, 116537, 107740, 103082, 32149, 101832, 30369, 105879, 117119, 32149, 57980, 16995, 41007, 124905, 76947, 110226, 17701, 19732, 64121, 26854, 107001, 102944, 126694, 30369, 104466, 39926, 72315, 9174, 110226, 17701, 30512, 50928, 100934, 19732, 122225, 103646, 33503, 5486, 36668, 122924, 120332, 72661, 107740, 125545, 9174, 29220, 44971, 76428, 67075, 123218, 126694, 30369, 104983, 20230, 92776, 9080, 107391, 26269, 57207, 94550, 20119, 254, 16144, 48706, 30512, 107750, 99397, 20230, 91763, 125167, 24273, 32977, 107991, 16144, 111769, 123253, 32149, 9174, 85701, 15682, 58426, 13372, 16144, 121640, 102321, 35330, 30512, 110726, 120837, 33503, 105262, 125175, 38641, 9174, 107740, 30512, 110526, 54926, 107803, 5486, 102782, 15024, 121423, 16144, 126101, 92776, 9080, 107391, 26269, 57207, 94550, 20119, 254, 16144, 110526, 48249, 27479, 109518, 30512, 61304, 17701, 78434, 9174, 72661, 5486, 101275, 112919, 117859, 112984, 113702, 113468, 15682, 5486, 92776, 9080, 107391, 26269, 57207, 94550, 20119, 254, 30512, 47000, 107441, 32977, 33503, 119841, 115789, 101182, 123253, 9174, 30591, 47884, 103296, 8107, 110226, 50667, 16144, 18, 17620, 16144, 16, 103296, 67016, 108703, 31431, 17701, 104028, 105908, 118765, 110022, 33857, 106045, 44416, 111848, 44416, 48249, 55031, 47000, 58318, 84389, 100604, 126465, 32977, 127181, 38641, 9174, 77693, 20230, 5486, 57106, 115694, 64121, 104533, 114734, 101513, 97518, 29295, 104908, 103792, 92776, 9080, 107391, 26269, 57207, 94550, 125175, 105755, 5486, 29220, 44971, 76428, 67075, 108695, 16144, 92776, 9080, 107391, 26269, 57207, 94550, 20119, 254, 120332, 29295, 60632, 96455, 29295, 45736, 62004, 16144, 53610, 107253, 117084, 61689, 9174, 103572, 38574, 55031, 33655, 103836, 29220, 44971, 76428, 67075, 123218, 16556, 92776, 9080, 107391, 26269, 57207, 94550, 32977, 103082, 104533, 102924, 60632, 77181, 57903, 33541, 29295, 5486, 126843, 15682, 119695, 103927, 103202, 122481, 71289, 108134, 116229, 16556, 127177, 125175, 19732, 91774, 57106, 115694, 55031, 48154, 116907, 16144, 78683, 106240, 20230, 117989, 100472, 125175, 30512, 102647, 104369, 104466, 103801, 109954, 9174, 115191, 39276, 92776, 9080, 107391, 26269, 57207, 94550, 29295, 101335, 113155, 116099, 39276, 92776, 9080, 107391, 26269, 57207, 94550, 105755, 104622, 115032, 28542, 15682, 5486, 60632, 96455, 29295, 103167, 102334, 62004, 5486, 103167, 35330, 60632, 16556, 111587, 104004, 102677, 118733, 109954, 9174, 77693, 20230, 5486, 110022, 33857, 106045, 44416, 10110, 108703, 17701, 48249, 27479, 109518, 29295, 112366, 72661, 8107, 110226, 16144, 18, 17620, 16144, 16, 103296, 19732, 107001, 100909, 7705, 115991, 107515, 55031, 5486, 101335, 113155, 116099, 39276, 16144, 107391, 26269, 57207, 94550, 19732, 125261, 112990, 5486, 108703, 17701, 48249, 27479, 109518, 29295, 43240, 62004, 38641, 9174, 102782, 15024, 121423, 16144, 82973, 115351, 29295, 103856, 118145, 5486, 92776, 9080, 106075, 103087, 32977, 88367, 26854, 110229, 29295, 43240, 47884, 5486, 115191, 106644, 58942, 16144, 51385, 64209, 99750, 19732, 22023, 117943, 99750, 15682, 119448, 16995, 38641, 9174, 122270, 5486, 115191, 39276, 16144, 92776, 9080, 107391, 26269, 57207, 94550, 15682, 107740, 108608, 116531, 120915, 126835, 16144, 9039, 29295, 121771, 98369, 57903, 5486, 32335, 108385, 111331, 109713, 91482, 78683, 116531, 120915, 126835, 29295, 33655, 105262, 115789, 127181, 105879, 5486, 60632, 102924, 34171, 29295, 107188, 31431, 45736, 115737, 31431, 33541, 9174, 117859, 112984, 15682, 110631, 47884, 100604, 105879, 5486, 103350, 104983, 107898, 35330, 30512, 108703, 31431, 110071, 105184, 96455, 15682, 103167, 115737, 76947, 103801, 61689, 29295, 5486, 117859, 112984, 30512, 80805, 22398, 108608, 101200, 105110, 5486, 115191, 39276, 107391, 26269, 57207, 94550, 16144, 106075, 103087, 114475, 107674, 24273, 29295, 102924, 60632, 20230, 76706, 11883, 108608, 16144, 111769, 123253, 32149, 9174, 106075, 103087, 114475, 105784, 114734, 101513, 97518, 113468, 108703, 125639, 88367, 26854, 48249, 27479, 109518, 102677, 102944, 29295, 104662, 17129, 76947, 61689, 29295, 5486, 9039, 103633, 35757, 102083, 100472, 31809, 109518, 112197, 35330, 55031, 58426, 117816, 108703, 31431, 110071, 92776, 9080, 106075, 103087, 15682, 32977, 43514, 85791, 25827, 5486, 3101, 110743, 71289, 2636, 110743, 102083, 100472, 45736, 109518, 26854, 123011, 117864, 33334, 35330, 32977, 102782, 121423, 30813, 58942, 50834, 43514, 127842, 103082, 104984, 101682, 76622, 102204, 33541, 9174, 102782, 121423, 30512, 39926, 117758, 82973, 32977, 102717, 19732, 124592, 32149, 32149, 101860, 5486, 117271, 32977, 22398, 91062, 106240, 16556, 5486, 114225, 20230, 46034, 24186, 107898, 35330, 29295, 109948, 47884, 105879, 27384, 104721, 102924, 60632, 118816, 107740, 30046, 32977, 115079, 107290, 61689, 9174, 108895, 56051, 102782, 109311, 32977, 37271, 77181, 123218, 16556, 106084, 30369, 102677, 112973, 37271, 77181, 108729, 104856, 76947, 61689, 9174, 14711, 126159, 101198, 22398, 16556, 110589, 33334, 35330, 108703, 31431, 30369, 46034, 110480, 19732, 61633, 28542, 198, 123218, 42634, 107060, 16144, 117859, 112984, 29295, 110631, 16995, 110229, 15682, 116414, 123253, 32149, 9174, 104873, 115694, 64121, 104533, 105465, 36827, 22398, 113390, 118517, 107060, 15682, 127177, 123218, 42634, 107060, 108695, 126036, 5486, 43240, 119064, 114754, 117859, 112984, 30512, 80805, 22398, 103792, 117840, 9174, 39850, 37823, 67075, 103306, 15682, 5486, 105465, 36827, 115191, 20230, 40526, 103605, 125523, 102332, 54926, 118733, 5486, 110726, 47000, 35330, 120938, 48249, 30512, 45736, 47884, 120837, 33503, 30297, 30926, 29295, 125545, 9174, 112832, 72661, 40526, 103605, 15682, 87447, 102332, 125545, 55031, 5486, 36668, 122924, 71289, 103167, 110226, 17701, 120332, 32977, 105465, 36827, 115191, 20230, 40526, 103605, 32977, 19967, 100472, 24273, 29295, 126521, 38641, 9174, 95221, 108176, 35330, 60632, 16144, 111017, 40862, 32977, 5486, 127177, 123218, 42634, 107060, 108695, 19732, 104721, 116547, 100604, 38641, 9174, 122270, 5486, 110726, 47000, 35330, 109518, 29295, 966, 110743, 23897, 32943, 127303, 104984, 5486, 104196, 111587, 15682, 37823, 103672, 124237, 117201, 2636, 15, 35757, 55031, 104856, 76947, 108086, 5486, 125261, 9554, 105465, 118816, 78244, 58942, 33541, 9174, 13177, 103001, 246, 16144, 102782, 58655, 30512, 39926, 123218, 42634, 107060, 16144, 117859, 112984, 20230, 33035, 100472, 66383, 95604, 87177, 30512, 28713, 17129, 20230, 104655, 50834, 50834, 33541, 29295, 108048, 15682, 120115, 33208, 117382, 16144, 87177, 16144, 117840, 9174, 30926, 103350, 103378, 78244, 116285, 108048, 15682, 77693, 121142, 113293, 25333, 17905, 16144, 108789, 10110, 19361, 104371, 86127, 17161, 102181, 49691, 121, 67178, 7705, 115717, 33541, 9174, 90620, 5486, 117859, 112984, 126867, 102404, 112854, 56051, 103306, 32977, 108695, 103306, 15682, 101307, 104698, 29295, 39442, 61994, 20230, 103181, 102639, 28713, 105879, 116898, 43514, 16995, 43514, 119642, 20230, 89046, 117139, 21105, 103, 118544, 110241, 33121, 107515, 9174, 80673, 103350, 104698, 29295, 30591, 104984, 101307, 104698, 109948, 125334, 107001, 123253, 15024, 5486, 50520, 238, 25666, 39926, 106075, 103087, 114475, 105784, 10110, 101682, 76622, 110071, 7705, 109335, 126843, 5486, 100604, 16144, 111769, 123253, 32149, 9174, 77693, 16556, 103768, 103424, 47884, 10110, 11571, 7705, 117859, 112984, 20230, 33035, 100472, 31431, 127564, 126738, 27384, 104721, 38641, 9174, 66953, 44971, 28713, 39177, 28542, 16556, 11144, 37087, 109518, 15120, 106885, 104196, 111587, 11199, 108176, 116497, 119627, 5486, 126920, 15120, 106885, 16556, 104196, 72342, 33541, 32149, 11571, 35330, 103842, 255, 16144, 110726, 108703, 15682, 122975, 18655, 73686, 38641, 9174, 104004, 75694, 104004, 75694, 115364, 122975, 20230, 114218, 116825, 105784, 109335, 71289, 107436, 72315, 9174, 33334, 35330, 29295, 109215, 26854, 110018, 5486, 107391, 26269, 57207, 94550, 30512, 119607, 106046, 61689, 123794, 9174, 125743, 5486, 117859, 112984, 107407, 55031, 104405, 119607, 19732, 5486, 107391, 26269, 57207, 94550, 30512, 103846, 33503, 30297, 17792, 32977, 83747, 103470, 120937, 16144, 111769, 123253, 32149, 9174, 117859, 112984, 20230, 120175, 30369, 116537, 110101, 48552, 124766, 20230, 120613, 107407, 32149, 5486, 43568, 107430, 16144, 107803, 29295, 127181, 38641, 9174, 117876, 107294, 16995, 100481, 38144, 110226, 17701, 115991, 5486, 110101, 48552, 124766, 20230, 120613, 119703, 24273, 15682, 5486, 64209, 55487, 21105, 103, 117201, 117859, 112984, 114475, 107441, 64121, 30369, 106592, 33334, 115893, 62004, 78434, 9174, 108703, 31431, 125639, 16144, 71289, 31431, 103188, 105557, 15682, 109688, 117126, 38641, 9174, 26854, 112371, 105110, 123334, 29295, 38144, 101427, 113, 102781, 30512, 109242, 9039, 108623, 107290, 114732, 121894, 108176, 55031, 38641, 9174, 26854, 112371, 105110, 112160, 61337, 55031, 108703, 31431, 125639, 108608, 33334, 35330, 102052, 104662, 62004, 109115, 106075, 103087, 109518, 115991, 33541, 123794, 9174, 77693, 106644, 58942, 5486, 104196, 111587, 9080, 101983, 104984, 5486, 104196, 17663, 103846, 112197, 35330, 30512, 43511, 20230, 104873, 104067, 108608, 30591, 38144, 30512, 106767, 30813, 100604, 102083, 124324, 16144, 38641, 9174, 30358, 101832, 100481, 76622, 81219, 16995, 47884, 108680, 5486, 43240, 30358, 101427, 113, 102781, 30046, 29295, 106084, 115442, 31431, 33541, 9174, 107420, 101198, 117718, 107391, 26269, 57207, 94550, 60868, 113649, 117718, 117859, 112984, 15682, 5486, 114731, 102781, 61826, 71289, 25132, 229, 11883, 83799, 107328, 5486, 122013, 106391, 13153, 71289, 110226, 17701, 16144, 51385, 23187, 34171, 104309, 55031, 104196, 111587, 106556, 16144, 19361, 43568, 30512, 75146, 107253, 20230, 122225, 84389, 33541, 9174, 108703, 17701, 35330, 16144, 33655, 16995, 45893, 109853, 15682, 5486, 117859, 112984, 16144, 103359, 47523, 111769, 105879, 5486, 67645, 120950, 100909, 107898, 35330, 124905, 33334, 30297, 19732, 48154, 116907, 16556, 104662, 109315, 105908, 125545, 9174, 59739, 109709, 5486, 104196, 111587, 23538, 48249, 30813, 58942, 106154, 104984, 44971, 106901, 11972, 123160, 109739, 109834, 106382, 11883, 20230, 105843, 38144, 111243, 103424, 117714, 38641, 9174, 107118, 16995, 58942, 5486, 104196, 111587, 9080, 15682, 50834, 43514, 127842, 106154, 76947, 33334, 50834, 17129, 109954, 9174, 20713, 9080, 72661, 73597, 252, 108446, 112990, 30250, 227, 109337, 125173, 104698, 35330, 29295, 102404, 21990, 78434, 9174, 104196, 111587, 29295, 127637, 16556, 108608, 120264, 16144, 83747, 109518, 107391, 26269, 57207, 94550, 127303, 104984, 5486, 60632, 23018, 29295, 57326, 112718, 84389, 100604, 43568, 60632, 23018, 117232, 107407, 114734, 101275, 30046, 30512, 102647, 104127, 17905, 124475, 33655, 107462, 126145, 126521, 106046, 61689, 9174, 104662, 62004, 109115, 43568, 60632, 23018, 117232, 32943, 20230, 37087, 109518, 15120, 106885, 104196, 111587 ]
[ 103082, 104984, 83747, 103470, 19732, 3484, 28359, 102718, 35757, 15682, 101182, 116497, 16144, 60632, 23018, 29295, 115464, 16556, 32149, 107277, 107515, 105879, 5486, 89783, 17620, 126738, 35330, 30512, 124237, 30297, 105908, 103470, 19732, 111243, 102924, 60632, 38641, 9174, 53900, 28713, 19732, 58942, 15120, 106885, 16556, 104196, 111587, 21105, 103, 16995, 107803, 127303, 114598, 5486, 60632, 23018, 29295, 113473, 26854, 117232, 30512, 104662, 62004, 100934, 114734, 101275, 112919, 24273, 29295, 127091, 19732, 33334, 50928, 20230, 107391, 26269, 57207, 94550, 108608, 115789, 43240, 104680, 57903, 33541, 55031, 5486, 118969, 75694, 17129, 26854, 28542, 109853, 32977, 125261, 111800, 118219, 39926, 64121, 17129, 109954, 9174, 102321, 35330, 30512, 106075, 103087, 120837, 33503, 33334, 30297, 117408, 104983, 20230, 26130, 30832, 39926, 33334, 102334, 24273, 29295, 104712, 112973, 35330, 60632, 123253, 9174, 107391, 26269, 57207, 94550, 16144, 35330, 60632, 15682, 108936, 112535, 126574, 105879, 27384, 112495, 109518, 16144, 108703, 31431, 125639, 30512, 39926, 114732, 19732, 121410, 9953, 16144, 35330, 60632, 32977, 27384, 112495, 109518, 115717, 5486, 104196, 111587, 29295, 110482, 111108, 117084, 103801, 61689, 9174, 102321, 114734, 103087, 46034, 106307, 50834, 30512, 119607, 117408, 39177, 102052, 35330, 60632, 30512, 50834, 43514, 127842, 122282, 39926, 108703, 31431, 28713, 24273, 29295, 104712, 123253, 9174, 33334, 35330, 29295, 17701, 11883, 115717, 110589, 33334, 35330, 30512, 108703, 31431, 30369, 107420, 101198, 117718, 107391, 26269, 57207, 94550, 30512, 107740, 56051, 16995, 106046, 114598, 105994, 15682, 101427, 113, 102781, 64531, 22649, 16325, 26854, 105879, 33334, 35330, 30512, 108703, 31431, 30369, 109335, 118765, 19732, 64889, 104611, 103792, 17792, 32977, 127181, 106046, 61689, 29295, 5486, 101790, 99, 107436, 114732, 104468, 103856, 16995, 117840, 9174, 50520, 111, 106624, 104873, 115694, 64121, 104533, 101427, 113, 102781, 64531, 22649, 16325, 16144, 96356, 127303, 114598, 33334, 35330, 30512, 106075, 103087, 39926, 124089, 114734, 101513, 97518, 15682, 57903, 33541, 9174, 101790, 99, 109315, 105755, 126843, 106767, 39926, 64121, 104533, 103424, 117714, 111769, 32149, 106046, 61689, 9174, 110589, 15682, 27384, 105686, 16556, 27384, 104721, 16556, 56051, 9174, 103293, 72718, 50834, 38144, 55031, 101860, 104043, 105686, 32149, 50834, 30512, 21105, 96, 2243, 109, 110214, 16556, 56051, 57980, 9174, 105677, 64121, 16144, 9080, 103351, 102189, 107493, 5486, 17663, 42891, 107277, 127814, 33121, 28873, 38144, 38144, 103801, 76947, 33014, 30512, 91875, 32149, 17663, 95221, 105352, 26854, 33121, 105823, 104127, 56051, 15024, 108948, 36827, 95221, 120332, 32977, 109161, 102518, 102189, 123682, 107391, 26269, 57207, 94550, 29295, 104196, 111587, 103911, 23187, 16144, 9080, 103351, 105879, 37026, 110362, 16556, 103621, 42634, 103621, 42634, 103792, 113334, 105352, 16995, 50834, 107515, 9174, 102971, 91077, 15682, 105686, 107809, 104196, 111587, 16144, 113009, 48915, 20834, 38641, 9174, 30813, 38144, 19732, 37271, 9953, 32977, 21105, 96, 107277, 19732, 104196, 111587, 103082, 79721, 15024, 5486, 53900, 110698, 42506, 9080, 103296, 102097, 15120, 109247, 80988, 239, 105714, 103950, 106046, 61689, 9174, 110241, 5486, 89046, 115351, 33563, 110322, 17792, 117084, 102717, 102800, 19732, 117952, 106824, 32977, 5486, 108703, 35330, 30512, 124237, 30297, 112854, 125636, 29295, 43568, 117714, 105110, 89046, 115351, 33563, 110322, 107707, 32018, 62004, 102052, 106608, 100204, 100604, 118881, 29295, 104712, 38641, 9174, 101083, 56965, 102052, 5486, 89046, 115351, 33563, 110322, 17792, 110276, 15682, 104712, 102944, 16144, 5486, 36668, 101427, 113, 102781, 30046, 29295, 104196, 111587, 104577, 102781, 30512, 54322, 77062, 226, 56051, 72342, 117201, 17792, 21990, 29295, 114760, 76947, 114604, 102677, 87177, 32977, 83747, 103470, 100604, 16144, 38641, 9174, 110904, 109020, 33563, 110322, 17792, 19732, 108010, 76947, 5486, 89046, 115351, 33563, 110322, 116537, 22656, 114754, 108703, 31431, 28713, 107803, 19732, 37087, 47884, 42016, 50667, 16144, 104196, 111587, 104577, 102781, 29295, 102404, 21990, 78434, 9174, 110589, 33334, 35330, 30512, 108703, 31431, 30369, 107420, 101198, 117718, 107391, 26269, 57207, 94550, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 39177, 102052, 89046, 115351, 33563, 110322, 116537, 109215, 100604, 110229, 29295, 102717, 19732, 124592, 38641, 9174, 80673, 5486, 105321, 72661, 110589, 33334, 35330, 30512, 108703, 31431, 30369, 107420, 101198, 117718, 107391, 26269, 57207, 94550, 20230, 117943, 30369, 105933, 35330, 103842, 255, 99750, 112854, 124911, 107118, 102057, 223, 30512, 102769, 100472, 24273, 29295, 96356, 16144, 103846, 32149, 110241, 33121, 107515, 1811, 128001, 128000, 103882, 103932, 25333, 121240, 114940, 106053, 16144, 118331, 61398, 29295, 89046, 9080, 89753, 106824, 61689, 1811, 36668, 102446, 56051, 111926, 120706, 13177, 78519, 16144, 35330, 112756, 10646, 16449, 59739, 17129, 110104, 19732, 120267, 106272, 106984, 223, 32977, 39177, 108881, 91774, 100481, 79721, 1811, 26854, 112371, 59739, 17129, 110104, 104865, 16449, 13177, 103926, 109768, 104533, 119852, 120700, 10646, 71289, 43511, 105352, 16995, 47884, 59739, 32149, 104655, 22957, 119841, 122768, 35417, 16144, 120706, 115991, 79721, 1811, 103984, 36735, 112, 96455, 29295, 45736, 47884, 87177, 104482, 16144, 120706, 72661, 5486, 40265, 16144, 103950, 30046, 10110, 36735, 112, 112854, 108502, 104698, 30046, 7705, 29295, 91774, 104533, 5486, 33476, 23187, 109904, 99750, 101067, 29295, 127181, 104468, 26854, 112371, 123253, 32149, 11571, 19967, 46729, 5486, 107928, 22656, 46729, 5486, 123113, 5486, 20834, 102446, 30046, 104309, 105335, 26269, 52591, 15682, 122617, 104655, 22957, 105262, 17792, 105459, 16556, 119568, 120577, 101462, 255, 16995, 101067, 66201, 16144, 119318, 116310, 16556, 114835, 110731, 55031, 120953, 120837, 103350, 107328, 110162, 76622, 106627, 106824, 103801, 61689, 1811, 112741, 15120, 59739, 19732, 114598, 103950, 112919, 112741, 107118, 117864, 47884, 108901, 109020, 102944, 38641, 1811, 46034, 87177, 15682, 112909, 91875, 32149, 17663, 103378, 126194, 5486, 105791, 16144, 112741, 5486, 96356, 123927, 30512, 115963, 20230, 21405, 102321, 54926, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 46034, 38574, 126529, 38641, 1811, 9080, 104680, 89753, 107001, 104735, 101, 27384, 26854, 108134, 16449, 113261, 16995, 107404, 55031, 58426, 108134, 30512, 30250, 106, 64889, 103646, 102616, 20230, 123726, 100934, 36735, 112, 112854, 108502, 104698, 112919, 106592, 106649, 82973, 16556, 113954, 54926, 104468, 111108, 102800, 38641, 1811, 29504, 89046, 16556, 104736, 62004, 109115, 78244, 102158, 103195, 13177, 46034, 87177, 118587, 124260, 39926, 105898, 36896, 103950, 104575, 10646, 16449, 58426, 104378, 123017, 127567, 56051, 102944, 15682, 5486, 122013, 32943, 71289, 106222, 113245, 123462, 80195, 59983, 59983, 104378, 16144, 102321, 75267, 16556, 106222, 110284, 16144, 110426, 29295, 19967, 124195, 105898, 19732, 78244, 114598, 103188, 78244, 111769, 106046, 61689, 1811, 83747, 21105, 248, 59739, 46034, 87177, 29295, 106839, 17701, 110731, 102944, 16144, 5486, 100927, 104599, 116907, 16144, 59739, 28713, 100604, 46034, 87177, 16144, 44971, 115882, 15682, 106116, 110674, 127032, 126027, 104378, 44971, 115882, 20230, 95543, 106482, 116216, 50834, 33541, 1811, 100927, 104599, 10110, 101467, 101544, 32977, 7705, 127282, 106222, 16556, 123726, 100934, 103950, 30046, 110792, 30177, 28542, 114792, 107462, 100604, 113009, 5486, 103950, 112919, 103350, 104654, 29295, 113954, 103082, 101860, 5486, 103950, 112919, 123604, 66201, 114792, 38144, 100604, 110674, 5486, 9080, 104680, 104655, 22957, 119841, 127032, 105459, 19732, 30177, 103792, 112973, 102321, 103397, 38641, 9174, 51330, 120366, 15682, 103950, 30591, 112919, 103984, 28542, 20230, 80195, 76947, 19967, 124195, 61689, 1811, 104655, 22957, 119841, 107707, 106592, 102987, 47884, 113954, 103082, 103470, 111243, 5486, 107707, 59739, 105722, 31431, 71289, 36896, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 10646, 15682, 123726, 38144, 23039, 47884, 17905, 16556, 116898, 111201, 107693, 26854, 100909, 26854, 104865, 29295, 103350, 99750, 125545, 9174, 107928, 22656, 9458, 123113, 16144, 103856, 120354, 107063, 110, 117739, 105514, 15682, 5486, 116907, 103950, 30046, 116787, 5486, 103950, 30046, 70141, 76622, 16144, 48864, 108710, 59657, 122, 16144, 106613, 112167, 117824, 30297, 102717, 32149, 5486, 103950, 30046, 70141, 76622, 101182, 16995, 15682, 103950, 30046, 30512, 57933, 108941, 114267, 106482, 66201, 9458, 120366, 16144, 124448, 117824, 76947, 61689, 9174, 61826, 104322, 5486, 103271, 105466, 72099, 80195, 102397, 109076, 103950, 104575, 105352, 37507, 101467, 15024, 5486, 104655, 22957, 119841, 127032, 105459, 20230, 64467, 106839, 30512, 127145, 1811, 127032, 105459, 29295, 103572, 38574, 91774, 72342, 28713, 100909, 16144, 100604, 5486, 123726, 123726, 114267, 112741, 16556, 48864, 104127, 102334, 105908, 101778, 105665, 9080, 78943, 105352, 107121, 31431, 79721, 1811, 112599, 16144, 103950, 104575, 16144, 103350, 107328, 29295, 51330, 118331, 61398, 55031, 32977, 101067, 66201, 54926, 105908, 125545, 9174, 64121, 26854, 98369, 110371, 101513, 38093, 20230, 21043, 66776, 48154, 111182, 17297, 65316, 1811, 46091, 22656, 76505, 5486, 89408, 15120, 87217, 112197, 125683, 62004, 16144, 120366, 38641, 9174, 109298, 17905, 106482, 103911, 23187, 198, 103271, 105466, 23530, 220, 605, 9953, 1419, 9080, 10110, 35330, 7705, 118075, 1032, 5232, 966, 220, 119560, 972, 5232, 966, 105694, 234, 70821, 103005, 55228, 231, 125540, 103988, 198, 46091, 111338, 23530, 220, 17, 9953, 1591, 9080, 10110, 9080, 7705, 220, 975, 5232, 410, 103993, 111338, 23530, 35417, 38093, 104509, 128001, 128000, 16, 13, 123044, 20230, 163, 65620, 108602, 53610, 30512, 58318, 107290, 32977, 104712, 104865, 198, 19, 13, 163, 65620, 108602, 124905, 100472, 105988, 108969, 115247, 104091, 104770, 198, 19, 12, 16, 13, 163, 65620, 108602, 105988, 108969, 11972, 198, 19, 12, 17, 13, 163, 65620, 108602, 109026, 198, 19, 12, 18, 13, 68759, 25197, 110305, 66953, 112193, 198, 20, 13, 105988, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 8239, 114503, 198, 20, 12, 16, 13, 104473, 23039, 16144, 113096, 103130, 198, 20, 12, 17, 13, 21980, 248, 33121, 71289, 33420, 26274, 255, 8239, 114503, 198, 20, 12, 18, 13, 122148, 101198, 94550, 82973, 16144, 106649, 123332, 20230, 103721, 233, 29295, 30369, 198, 20, 12, 19, 13, 105988, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 107803, 16144, 118430, 27479, 198, 567, 125820, 105, 20230, 163, 65620, 108602, 53610, 30512, 58318, 107290, 32977, 104712, 104865, 198, 123044, 20230, 163, 65620, 108602, 53610, 30512, 58318, 105262, 126513, 83747, 33857, 105110, 109606, 124897, 9174, 113614, 103732, 30813, 120550, 163, 65620, 108602, 53610, 119627, 5486, 15682, 121381, 31431, 119852, 123044, 29295, 115320, 104004, 107803, 5486, 39850, 37823, 67075, 102083, 105262, 102944, 15682, 66378, 20230, 124897, 9174, 123044, 125030, 76947, 99046, 224, 76947, 33334, 105898, 16995, 15308, 226, 113598, 72238, 29295, 96412, 17129, 115032, 113334, 111769, 38641, 15024, 5486, 9080, 40053, 112535, 115320, 104004, 16144, 105110, 110456, 106266, 16144, 83747, 100604, 53610, 45893, 53610, 16556, 114392, 38641, 9174, 39850, 37823, 67075, 119703, 17620, 53610, 19732, 112361, 109860, 68408, 39850, 37823, 67075, 126758, 104865, 26854, 119150, 32149, 110241, 33121, 107515, 29295, 5486, 116900, 20230, 68408, 39850, 37823, 67075, 15682, 48706, 78434, 9174, 163, 65620, 108602, 113468, 33334, 113351, 125001, 124387, 115717, 109215, 26854, 33857, 16144, 52591, 65575, 30512, 125764, 30369, 105908, 103082, 104435, 31431, 5486, 53610, 17620, 29295, 99046, 224, 33121, 104435, 31431, 54926, 100909, 38641, 9174, 117896, 15682, 105621, 103830, 123410, 118733, 50338, 104662, 78434, 29295, 5486, 123044, 16144, 111006, 16144, 106391, 67178, 17905, 105621, 103830, 15682, 20834, 20230, 47884, 102334, 62004, 61633, 29295, 109215, 38641, 9174, 105621, 103830, 125334, 101860, 20230, 163, 65620, 108602, 102472, 22398, 29295, 91939, 225, 107809, 20230, 95475, 73597, 252, 15024, 91939, 225, 29295, 108901, 40053, 20230, 108285, 29295, 76947, 114732, 19732, 5486, 91939, 225, 29295, 101832, 100204, 106824, 114732, 91939, 225, 15017, 119, 108436, 30512, 125119, 17663, 109688, 117126, 32977, 57903, 33541, 9174, 83747, 33857, 106081, 39926, 95543, 106608, 30512, 64121, 30369, 17620, 102052, 113614, 20230, 117375, 30512, 82317, 109416, 17663, 125396, 15682, 103167, 16995, 119627, 5486, 123044, 29295, 163, 65620, 108602, 53610, 30512, 127879, 76947, 122333, 20230, 111654, 21105, 234, 76947, 114732, 115789, 101182, 105879, 95221, 116825, 76622, 17129, 109954, 9174, 123044, 29295, 163, 65620, 108602, 53610, 30512, 115320, 102189, 110018, 16144, 95543, 106608, 15682, 91875, 55723, 30512, 126362, 78434, 9174, 163, 65620, 108602, 16144, 110456, 106266, 20230, 121602, 47884, 123044, 108149, 109709, 99849, 32977, 112391, 126386, 104466, 91774, 105262, 123044, 5486, 95543, 106608, 15682, 118969, 75694, 17129, 38641, 9174, 30591, 109709, 108882, 110993, 112535, 163, 65620, 108602, 53610, 30512, 115320, 108031, 117408, 123044, 112987, 100604, 104466, 91774, 102204, 33541, 29295, 5486, 165, 36246, 16995, 36668, 121944, 103572, 38574, 105994, 29295, 115320, 126559, 163, 65620, 108602, 53610, 30512, 95221, 117355, 20230, 58318, 105262, 100909, 16144, 100604, 104466, 39926, 72315, 9174, 53900, 163, 65620, 108602, 53610, 30512, 122333, 20230, 58318, 107800, 107803, 5486, 96412, 17129, 104028, 13153, 17620, 113468, 103429, 95221, 30512, 113801, 125119, 17663, 109688, 117126, 34171, 32977, 57903, 33541, 9174, 163, 65620, 108602, 53610, 20230, 96412, 17129, 104028, 13153, 17620, 19732, 103429, 95221, 109853, 64121, 100481, 50834, 17129, 109954, 9174, 567, 10447, 65620, 108602, 53610, 20230, 96412, 17129, 104028, 13153, 17620, 198, 163, 65620, 108602, 53610, 15682, 53610, 20230, 163, 65620, 108602, 102472, 22398, 30512, 122026, 32149, 56051, 102944, 119627, 5486, 53610, 102052, 115145, 57207, 65299, 91062, 71289, 96452, 122148, 65299, 91062, 127359, 41758, 102750, 57207, 65299, 91062, 5486, 107805, 71289, 71493, 37823, 65299, 91062, 123160, 101198, 102750, 32131, 33710, 17620, 29295, 96412, 17129, 106824, 61689, 9174, 101198, 102750, 32131, 33710, 15682, 86127, 105459, 114516, 121142, 103470, 123044, 125030, 114598, 111006, 16144, 106391, 13153, 112649, 124233, 30369, 121142, 103470, 5486, 111006, 16144, 121432, 30512, 109205, 69978, 56051, 31431, 104873, 107792, 56051, 31431, 54926, 107693, 26854, 107734, 111017, 30512, 106529, 76947, 61689, 9174, 27452, 103306, 5486 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103082, 104984, 83747, 103470, 19732, 3484, 28359, 102718, 35757, 15682, 101182, 116497, 16144, 60632, 23018, 29295, 115464, 16556, 32149, 107277, 107515, 105879, 5486, 89783, 17620, 126738, 35330, 30512, 124237, 30297, 105908, 103470, 19732, 111243, 102924, 60632, 38641, 9174, 53900, 28713, 19732, 58942, 15120, 106885, 16556, 104196, 111587, 21105, 103, 16995, 107803, 127303, 114598, 5486, 60632, 23018, 29295, 113473, 26854, 117232, 30512, 104662, 62004, 100934, 114734, 101275, 112919, 24273, 29295, 127091, 19732, 33334, 50928, 20230, 107391, 26269, 57207, 94550, 108608, 115789, 43240, 104680, 57903, 33541, 55031, 5486, 118969, 75694, 17129, 26854, 28542, 109853, 32977, 125261, 111800, 118219, 39926, 64121, 17129, 109954, 9174, 102321, 35330, 30512, 106075, 103087, 120837, 33503, 33334, 30297, 117408, 104983, 20230, 26130, 30832, 39926, 33334, 102334, 24273, 29295, 104712, 112973, 35330, 60632, 123253, 9174, 107391, 26269, 57207, 94550, 16144, 35330, 60632, 15682, 108936, 112535, 126574, 105879, 27384, 112495, 109518, 16144, 108703, 31431, 125639, 30512, 39926, 114732, 19732, 121410, 9953, 16144, 35330, 60632, 32977, 27384, 112495, 109518, 115717, 5486, 104196, 111587, 29295, 110482, 111108, 117084, 103801, 61689, 9174, 102321, 114734, 103087, 46034, 106307, 50834, 30512, 119607, 117408, 39177, 102052, 35330, 60632, 30512, 50834, 43514, 127842, 122282, 39926, 108703, 31431, 28713, 24273, 29295, 104712, 123253, 9174, 33334, 35330, 29295, 17701, 11883, 115717, 110589, 33334, 35330, 30512, 108703, 31431, 30369, 107420, 101198, 117718, 107391, 26269, 57207, 94550, 30512, 107740, 56051, 16995, 106046, 114598, 105994, 15682, 101427, 113, 102781, 64531, 22649, 16325, 26854, 105879, 33334, 35330, 30512, 108703, 31431, 30369, 109335, 118765, 19732, 64889, 104611, 103792, 17792, 32977, 127181, 106046, 61689, 29295, 5486, 101790, 99, 107436, 114732, 104468, 103856, 16995, 117840, 9174, 50520, 111, 106624, 104873, 115694, 64121, 104533, 101427, 113, 102781, 64531, 22649, 16325, 16144, 96356, 127303, 114598, 33334, 35330, 30512, 106075, 103087, 39926, 124089, 114734, 101513, 97518, 15682, 57903, 33541, 9174, 101790, 99, 109315, 105755, 126843, 106767, 39926, 64121, 104533, 103424, 117714, 111769, 32149, 106046, 61689, 9174, 110589, 15682, 27384, 105686, 16556, 27384, 104721, 16556, 56051, 9174, 103293, 72718, 50834, 38144, 55031, 101860, 104043, 105686, 32149, 50834, 30512, 21105, 96, 2243, 109, 110214, 16556, 56051, 57980, 9174, 105677, 64121, 16144, 9080, 103351, 102189, 107493, 5486, 17663, 42891, 107277, 127814, 33121, 28873, 38144, 38144, 103801, 76947, 33014, 30512, 91875, 32149, 17663, 95221, 105352, 26854, 33121, 105823, 104127, 56051, 15024, 108948, 36827, 95221, 120332, 32977, 109161, 102518, 102189, 123682, 107391, 26269, 57207, 94550, 29295, 104196, 111587, 103911, 23187, 16144, 9080, 103351, 105879, 37026, 110362, 16556, 103621, 42634, 103621, 42634, 103792, 113334, 105352, 16995, 50834, 107515, 9174, 102971, 91077, 15682, 105686, 107809, 104196, 111587, 16144, 113009, 48915, 20834, 38641, 9174, 30813, 38144, 19732, 37271, 9953, 32977, 21105, 96, 107277, 19732, 104196, 111587, 103082, 79721, 15024, 5486, 53900, 110698, 42506, 9080, 103296, 102097, 15120, 109247, 80988, 239, 105714, 103950, 106046, 61689, 9174, 110241, 5486, 89046, 115351, 33563, 110322, 17792, 117084, 102717, 102800, 19732, 117952, 106824, 32977, 5486, 108703, 35330, 30512, 124237, 30297, 112854, 125636, 29295, 43568, 117714, 105110, 89046, 115351, 33563, 110322, 107707, 32018, 62004, 102052, 106608, 100204, 100604, 118881, 29295, 104712, 38641, 9174, 101083, 56965, 102052, 5486, 89046, 115351, 33563, 110322, 17792, 110276, 15682, 104712, 102944, 16144, 5486, 36668, 101427, 113, 102781, 30046, 29295, 104196, 111587, 104577, 102781, 30512, 54322, 77062, 226, 56051, 72342, 117201, 17792, 21990, 29295, 114760, 76947, 114604, 102677, 87177, 32977, 83747, 103470, 100604, 16144, 38641, 9174, 110904, 109020, 33563, 110322, 17792, 19732, 108010, 76947, 5486, 89046, 115351, 33563, 110322, 116537, 22656, 114754, 108703, 31431, 28713, 107803, 19732, 37087, 47884, 42016, 50667, 16144, 104196, 111587, 104577, 102781, 29295, 102404, 21990, 78434, 9174, 110589, 33334, 35330, 30512, 108703, 31431, 30369, 107420, 101198, 117718, 107391, 26269, 57207, 94550, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 39177, 102052, 89046, 115351, 33563, 110322, 116537, 109215, 100604, 110229, 29295, 102717, 19732, 124592, 38641, 9174, 80673, 5486, 105321, 72661, 110589, 33334, 35330, 30512, 108703, 31431, 30369, 107420, 101198, 117718, 107391, 26269, 57207, 94550, 20230, 117943, 30369, 105933, 35330, 103842, 255, 99750, 112854, 124911, 107118, 102057, 223, 30512, 102769, 100472, 24273, 29295, 96356, 16144, 103846, 32149, 110241, 33121, 107515, 1811, 128001, 128000, 103882, 103932, 25333, 121240, 114940, 106053, 16144, 118331, 61398, 29295, 89046, 9080, 89753, 106824, 61689, 1811, 36668, 102446, 56051, 111926, 120706, 13177, 78519, 16144, 35330, 112756, 10646, 16449, 59739, 17129, 110104, 19732, 120267, 106272, 106984, 223, 32977, 39177, 108881, 91774, 100481, 79721, 1811, 26854, 112371, 59739, 17129, 110104, 104865, 16449, 13177, 103926, 109768, 104533, 119852, 120700, 10646, 71289, 43511, 105352, 16995, 47884, 59739, 32149, 104655, 22957, 119841, 122768, 35417, 16144, 120706, 115991, 79721, 1811, 103984, 36735, 112, 96455, 29295, 45736, 47884, 87177, 104482, 16144, 120706, 72661, 5486, 40265, 16144, 103950, 30046, 10110, 36735, 112, 112854, 108502, 104698, 30046, 7705, 29295, 91774, 104533, 5486, 33476, 23187, 109904, 99750, 101067, 29295, 127181, 104468, 26854, 112371, 123253, 32149, 11571, 19967, 46729, 5486, 107928, 22656, 46729, 5486, 123113, 5486, 20834, 102446, 30046, 104309, 105335, 26269, 52591, 15682, 122617, 104655, 22957, 105262, 17792, 105459, 16556, 119568, 120577, 101462, 255, 16995, 101067, 66201, 16144, 119318, 116310, 16556, 114835, 110731, 55031, 120953, 120837, 103350, 107328, 110162, 76622, 106627, 106824, 103801, 61689, 1811, 112741, 15120, 59739, 19732, 114598, 103950, 112919, 112741, 107118, 117864, 47884, 108901, 109020, 102944, 38641, 1811, 46034, 87177, 15682, 112909, 91875, 32149, 17663, 103378, 126194, 5486, 105791, 16144, 112741, 5486, 96356, 123927, 30512, 115963, 20230, 21405, 102321, 54926, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 46034, 38574, 126529, 38641, 1811, 9080, 104680, 89753, 107001, 104735, 101, 27384, 26854, 108134, 16449, 113261, 16995, 107404, 55031, 58426, 108134, 30512, 30250, 106, 64889, 103646, 102616, 20230, 123726, 100934, 36735, 112, 112854, 108502, 104698, 112919, 106592, 106649, 82973, 16556, 113954, 54926, 104468, 111108, 102800, 38641, 1811, 29504, 89046, 16556, 104736, 62004, 109115, 78244, 102158, 103195, 13177, 46034, 87177, 118587, 124260, 39926, 105898, 36896, 103950, 104575, 10646, 16449, 58426, 104378, 123017, 127567, 56051, 102944, 15682, 5486, 122013, 32943, 71289, 106222, 113245, 123462, 80195, 59983, 59983, 104378, 16144, 102321, 75267, 16556, 106222, 110284, 16144, 110426, 29295, 19967, 124195, 105898, 19732, 78244, 114598, 103188, 78244, 111769, 106046, 61689, 1811, 83747, 21105, 248, 59739, 46034, 87177, 29295, 106839, 17701, 110731, 102944, 16144, 5486, 100927, 104599, 116907, 16144, 59739, 28713, 100604, 46034, 87177, 16144, 44971, 115882, 15682, 106116, 110674, 127032, 126027, 104378, 44971, 115882, 20230, 95543, 106482, 116216, 50834, 33541, 1811, 100927, 104599, 10110, 101467, 101544, 32977, 7705, 127282, 106222, 16556, 123726, 100934, 103950, 30046, 110792, 30177, 28542, 114792, 107462, 100604, 113009, 5486, 103950, 112919, 103350, 104654, 29295, 113954, 103082, 101860, 5486, 103950, 112919, 123604, 66201, 114792, 38144, 100604, 110674, 5486, 9080, 104680, 104655, 22957, 119841, 127032, 105459, 19732, 30177, 103792, 112973, 102321, 103397, 38641, 9174, 51330, 120366, 15682, 103950, 30591, 112919, 103984, 28542, 20230, 80195, 76947, 19967, 124195, 61689, 1811, 104655, 22957, 119841, 107707, 106592, 102987, 47884, 113954, 103082, 103470, 111243, 5486, 107707, 59739, 105722, 31431, 71289, 36896, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 10646, 15682, 123726, 38144, 23039, 47884, 17905, 16556, 116898, 111201, 107693, 26854, 100909, 26854, 104865, 29295, 103350, 99750, 125545, 9174, 107928, 22656, 9458, 123113, 16144, 103856, 120354, 107063, 110, 117739, 105514, 15682, 5486, 116907, 103950, 30046, 116787, 5486, 103950, 30046, 70141, 76622, 16144, 48864, 108710, 59657, 122, 16144, 106613, 112167, 117824, 30297, 102717, 32149, 5486, 103950, 30046, 70141, 76622, 101182, 16995, 15682, 103950, 30046, 30512, 57933, 108941, 114267, 106482, 66201, 9458, 120366, 16144, 124448, 117824, 76947, 61689, 9174, 61826, 104322, 5486, 103271, 105466, 72099, 80195, 102397, 109076, 103950, 104575, 105352, 37507, 101467, 15024, 5486, 104655, 22957, 119841, 127032, 105459, 20230, 64467, 106839, 30512, 127145, 1811, 127032, 105459, 29295, 103572, 38574, 91774, 72342, 28713, 100909, 16144, 100604, 5486, 123726, 123726, 114267, 112741, 16556, 48864, 104127, 102334, 105908, 101778, 105665, 9080, 78943, 105352, 107121, 31431, 79721, 1811, 112599, 16144, 103950, 104575, 16144, 103350, 107328, 29295, 51330, 118331, 61398, 55031, 32977, 101067, 66201, 54926, 105908, 125545, 9174, 64121, 26854, 98369, 110371, 101513, 38093, 20230, 21043, 66776, 48154, 111182, 17297, 65316, 1811, 46091, 22656, 76505, 5486, 89408, 15120, 87217, 112197, 125683, 62004, 16144, 120366, 38641, 9174, 109298, 17905, 106482, 103911, 23187, 198, 103271, 105466, 23530, 220, 605, 9953, 1419, 9080, 10110, 35330, 7705, 118075, 1032, 5232, 966, 220, 119560, 972, 5232, 966, 105694, 234, 70821, 103005, 55228, 231, 125540, 103988, 198, 46091, 111338, 23530, 220, 17, 9953, 1591, 9080, 10110, 9080, 7705, 220, 975, 5232, 410, 103993, 111338, 23530, 35417, 38093, 104509, 128001, 128000, 16, 13, 123044, 20230, 163, 65620, 108602, 53610, 30512, 58318, 107290, 32977, 104712, 104865, 198, 19, 13, 163, 65620, 108602, 124905, 100472, 105988, 108969, 115247, 104091, 104770, 198, 19, 12, 16, 13, 163, 65620, 108602, 105988, 108969, 11972, 198, 19, 12, 17, 13, 163, 65620, 108602, 109026, 198, 19, 12, 18, 13, 68759, 25197, 110305, 66953, 112193, 198, 20, 13, 105988, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 8239, 114503, 198, 20, 12, 16, 13, 104473, 23039, 16144, 113096, 103130, 198, 20, 12, 17, 13, 21980, 248, 33121, 71289, 33420, 26274, 255, 8239, 114503, 198, 20, 12, 18, 13, 122148, 101198, 94550, 82973, 16144, 106649, 123332, 20230, 103721, 233, 29295, 30369, 198, 20, 12, 19, 13, 105988, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 107803, 16144, 118430, 27479, 198, 567, 125820, 105, 20230, 163, 65620, 108602, 53610, 30512, 58318, 107290, 32977, 104712, 104865, 198, 123044, 20230, 163, 65620, 108602, 53610, 30512, 58318, 105262, 126513, 83747, 33857, 105110, 109606, 124897, 9174, 113614, 103732, 30813, 120550, 163, 65620, 108602, 53610, 119627, 5486, 15682, 121381, 31431, 119852, 123044, 29295, 115320, 104004, 107803, 5486, 39850, 37823, 67075, 102083, 105262, 102944, 15682, 66378, 20230, 124897, 9174, 123044, 125030, 76947, 99046, 224, 76947, 33334, 105898, 16995, 15308, 226, 113598, 72238, 29295, 96412, 17129, 115032, 113334, 111769, 38641, 15024, 5486, 9080, 40053, 112535, 115320, 104004, 16144, 105110, 110456, 106266, 16144, 83747, 100604, 53610, 45893, 53610, 16556, 114392, 38641, 9174, 39850, 37823, 67075, 119703, 17620, 53610, 19732, 112361, 109860, 68408, 39850, 37823, 67075, 126758, 104865, 26854, 119150, 32149, 110241, 33121, 107515, 29295, 5486, 116900, 20230, 68408, 39850, 37823, 67075, 15682, 48706, 78434, 9174, 163, 65620, 108602, 113468, 33334, 113351, 125001, 124387, 115717, 109215, 26854, 33857, 16144, 52591, 65575, 30512, 125764, 30369, 105908, 103082, 104435, 31431, 5486, 53610, 17620, 29295, 99046, 224, 33121, 104435, 31431, 54926, 100909, 38641, 9174, 117896, 15682, 105621, 103830, 123410, 118733, 50338, 104662, 78434, 29295, 5486, 123044, 16144, 111006, 16144, 106391, 67178, 17905, 105621, 103830, 15682, 20834, 20230, 47884, 102334, 62004, 61633, 29295, 109215, 38641, 9174, 105621, 103830, 125334, 101860, 20230, 163, 65620, 108602, 102472, 22398, 29295, 91939, 225, 107809, 20230, 95475, 73597, 252, 15024, 91939, 225, 29295, 108901, 40053, 20230, 108285, 29295, 76947, 114732, 19732, 5486, 91939, 225, 29295, 101832, 100204, 106824, 114732, 91939, 225, 15017, 119, 108436, 30512, 125119, 17663, 109688, 117126, 32977, 57903, 33541, 9174, 83747, 33857, 106081, 39926, 95543, 106608, 30512, 64121, 30369, 17620, 102052, 113614, 20230, 117375, 30512, 82317, 109416, 17663, 125396, 15682, 103167, 16995, 119627, 5486, 123044, 29295, 163, 65620, 108602, 53610, 30512, 127879, 76947, 122333, 20230, 111654, 21105, 234, 76947, 114732, 115789, 101182, 105879, 95221, 116825, 76622, 17129, 109954, 9174, 123044, 29295, 163, 65620, 108602, 53610, 30512, 115320, 102189, 110018, 16144, 95543, 106608, 15682, 91875, 55723, 30512, 126362, 78434, 9174, 163, 65620, 108602, 16144, 110456, 106266, 20230, 121602, 47884, 123044, 108149, 109709, 99849, 32977, 112391, 126386, 104466, 91774, 105262, 123044, 5486, 95543, 106608, 15682, 118969, 75694, 17129, 38641, 9174, 30591, 109709, 108882, 110993, 112535, 163, 65620, 108602, 53610, 30512, 115320, 108031, 117408, 123044, 112987, 100604, 104466, 91774, 102204, 33541, 29295, 5486, 165, 36246, 16995, 36668, 121944, 103572, 38574, 105994, 29295, 115320, 126559, 163, 65620, 108602, 53610, 30512, 95221, 117355, 20230, 58318, 105262, 100909, 16144, 100604, 104466, 39926, 72315, 9174, 53900, 163, 65620, 108602, 53610, 30512, 122333, 20230, 58318, 107800, 107803, 5486, 96412, 17129, 104028, 13153, 17620, 113468, 103429, 95221, 30512, 113801, 125119, 17663, 109688, 117126, 34171, 32977, 57903, 33541, 9174, 163, 65620, 108602, 53610, 20230, 96412, 17129, 104028, 13153, 17620, 19732, 103429, 95221, 109853, 64121, 100481, 50834, 17129, 109954, 9174, 567, 10447, 65620, 108602, 53610, 20230, 96412, 17129, 104028, 13153, 17620, 198, 163, 65620, 108602, 53610, 15682, 53610, 20230, 163, 65620, 108602, 102472, 22398, 30512, 122026, 32149, 56051, 102944, 119627, 5486, 53610, 102052, 115145, 57207, 65299, 91062, 71289, 96452, 122148, 65299, 91062, 127359, 41758, 102750, 57207, 65299, 91062, 5486, 107805, 71289, 71493, 37823, 65299, 91062, 123160, 101198, 102750, 32131, 33710, 17620, 29295, 96412, 17129, 106824, 61689, 9174, 101198, 102750, 32131, 33710, 15682, 86127, 105459, 114516, 121142, 103470, 123044, 125030, 114598, 111006, 16144, 106391, 13153, 112649, 124233, 30369, 121142, 103470, 5486, 111006, 16144, 121432, 30512, 109205, 69978, 56051, 31431, 104873, 107792, 56051, 31431, 54926, 107693, 26854, 107734, 111017, 30512, 106529, 76947, 61689, 9174, 27452, 103306, 5486 ]
[ 115145, 57207, 65299, 91062, 5486, 96452, 122148, 65299, 91062, 127359, 41758, 102750, 57207, 65299, 91062, 5486, 107805, 5486, 71493, 37823, 65299, 91062, 16144, 20, 118821, 122548, 16144, 122502, 50834, 104088, 100481, 50834, 17129, 109954, 9174, 7058, 9458, 115145, 57207, 65299, 91062, 1981, 110135, 35083, 16144, 115376, 5486, 104398, 112506, 121432, 16144, 102404, 102321, 19732, 109205, 69978, 123410, 198, 9458, 96452, 122148, 65299, 91062, 1981, 104398, 112506, 16144, 48915, 19732, 16325, 16144, 33014, 107654, 66953, 119930, 30512, 19732, 30369, 5486, 119049, 107079, 71289, 101365, 106613, 16144, 95543, 106608, 114556, 108826, 54926, 198, 120456, 41758, 102750, 57207, 65299, 91062, 1981, 76739, 124643, 104603, 11972, 21990, 106518, 5486, 33014, 104840, 16144, 109205, 69978, 5486, 103927, 33710, 102494, 113883, 17620, 14888, 234, 112649, 124233, 30369, 198, 9458, 107805, 1981, 115145, 57207, 65299, 91062, 19732, 102971, 102802, 59739, 102532, 110135, 71289, 127480, 116825, 109749, 198, 9458, 71493, 37823, 65299, 91062, 1981, 101365, 106613, 16144, 109834, 28194, 106, 71289, 119049, 107079, 16144, 110226, 123332, 112649, 124233, 30369, 198, 77693, 108422, 33121, 16144, 122502, 50834, 15682, 102717, 25827, 112028, 34048, 16556, 5486, 118969, 75694, 17129, 26854, 122502, 50834, 114792, 59739, 101198, 102750, 32131, 33710, 119627, 5486, 99046, 224, 31431, 120195, 38144, 114732, 19732, 123044, 16144, 111006, 102052, 109972, 106529, 117084, 114732, 107803, 32977, 9174, 123044, 29295, 163, 65620, 108602, 53610, 30512, 43240, 47884, 115320, 104004, 100909, 112212, 101198, 102750, 32131, 33710, 30512, 109215, 71689, 20230, 99046, 224, 76947, 114732, 118733, 64209, 55487, 26854, 104468, 5486, 126017, 47095, 102971, 102465, 71289, 101921, 236, 16937, 37087, 16144, 112997, 29220, 38641, 9174, 126017, 47095, 102971, 102465, 15682, 126017, 20230, 96412, 17129, 104028, 101198, 102750, 32131, 33710, 17620, 29295, 102971, 111494, 33208, 15024, 5486, 104735, 222, 91939, 109, 71289, 126017, 45893, 104309, 16556, 102971, 102465, 117084, 114732, 103429, 95221, 38641, 9174, 126017, 125334, 20230, 47884, 115737, 100472, 31431, 104473, 126017, 125334, 115926, 5486, 90962, 22398, 123044, 16144, 107803, 104398, 16995, 126017, 45893, 20230, 50520, 108, 17129, 76947, 114732, 19732, 51609, 112649, 124233, 30369, 115789, 57903, 33541, 9174, 53900, 5486, 101921, 236, 26274, 241, 16144, 122502, 50834, 16144, 115303, 59739, 103306, 101198, 102750, 32131, 33710, 17620, 16144, 104873, 107792, 115991, 33541, 29295, 5486, 101198, 102750, 32131, 33710, 30512, 99046, 224, 31431, 120195, 30369, 118733, 101921, 236, 26274, 241, 20230, 109972, 111600, 29295, 32149, 107277, 5486, 114392, 26854, 122502, 50834, 29295, 103082, 103470, 109020, 105908, 57903, 33541, 9174, 51330, 121894, 30512, 101921, 236, 16937, 37087, 102083, 61689, 9174, 101921, 236, 26274, 241, 15682, 127637, 109161, 47884, 39926, 114732, 19732, 71005, 30369, 109335, 124897, 105879, 5486, 43240, 33857, 16144, 163, 65620, 108602, 53610, 15682, 58318, 119841, 24273, 29295, 104712, 123253, 9174, 53900, 5486, 22398, 113390, 38248, 226, 109713, 91482, 78683, 104309, 16556, 23530, 114622, 110731, 163, 65620, 108602, 53610, 16144, 104091, 104770, 15682, 43240, 47884, 57903, 33541, 29295, 115847, 15682, 53610, 16144, 104091, 104770, 112212, 17620, 76622, 102204, 33541, 9174, 101198, 102750, 32131, 33710, 29295, 83747, 100604, 53610, 15682, 13177, 122279, 53610, 10646, 5486, 43240, 47884, 96412, 17129, 104028, 53610, 15682, 13177, 110567, 53610, 10646, 20230, 17620, 104770, 84389, 5486, 66378, 20230, 110567, 53610, 15682, 123044, 20230, 58318, 119841, 104466, 61633, 103801, 109954, 9174, 567, 10447, 65620, 108602, 115320, 42506, 15682, 115924, 103359, 20230, 58318, 107290, 112987, 124324, 198, 163, 65620, 108602, 53610, 15682, 83747, 33857, 105110, 109606, 103470, 58318, 58942, 120195, 102052, 61633, 103801, 109954, 19732, 102181, 50834, 79721, 29295, 5486, 123044, 20230, 163, 65620, 108602, 115320, 42506, 30512, 58318, 105262, 109335, 104712, 105879, 109954, 32149, 9174, 163, 65620, 108602, 53610, 15682, 53610, 20230, 41920, 108602, 33208, 163, 65620, 72238, 30512, 122026, 32149, 56051, 102944, 119627, 5486, 163, 65620, 108602, 115320, 42506, 15682, 77693, 20230, 110631, 64121, 71289, 102765, 42506, 30512, 102780, 56051, 102944, 16556, 5486, 91774, 28713, 30832, 71689, 20230, 43240, 119064, 117587, 17620, 29295, 96412, 17129, 106824, 61689, 9174, 123044, 15682, 110631, 64121, 30512, 112391, 30369, 105908, 108608, 105879, 5486, 127879, 76947, 114732, 19732, 58426, 74482, 121771, 98369, 111654, 21105, 234, 76947, 114732, 115789, 9174, 43240, 33857, 16144, 117587, 17620, 30512, 99046, 224, 76947, 114732, 118733, 117178, 112624, 71289, 117587, 126017, 103429, 5486, 127480, 41642, 103429, 30512, 113801, 125119, 17663, 109755, 33121, 115991, 33541, 9174, 66378, 20230, 117178, 112624, 15682, 102780, 115519, 20230, 109972, 106529, 119707, 105784, 118733, 34226, 109020, 103429, 95221, 16144, 102404, 21990, 54926, 109688, 117126, 115991, 5486, 117587, 126017, 103429, 32977, 15120, 21990, 114308, 40862, 107462, 107188, 118145, 105110, 100604, 103429, 95221, 38641, 9174, 127480, 41642, 103429, 32977, 104328, 67645, 115737, 104533, 108631, 64121, 16556, 52591, 65575, 29295, 125764, 102204, 123733, 31431, 5486, 108068, 100845, 242, 119707, 107441, 127480, 30512, 113487, 47884, 117120, 22324, 29295, 109215, 26854, 107803, 32977, 57903, 33541, 9174, 51330, 100909, 55031, 5486, 123044, 20230, 163, 65620, 108602, 115320, 42506, 15682, 115924, 103359, 20230, 58318, 119841, 104466, 103801, 109954, 9174, 567, 10447, 65620, 108602, 124905, 100472, 105988, 108969, 115247, 104091, 104770, 198, 123044, 20230, 163, 65620, 108602, 53610, 30512, 58318, 105262, 39850, 37823, 67075, 120937, 19732, 102181, 50834, 79721, 29295, 5486, 105988, 108969, 11972, 103306, 33655, 30297, 104468, 104405, 26854, 105879, 109954, 32149, 9174, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 102052, 163, 65620, 108602, 105988, 108969, 11972, 5486, 163, 65620, 108602, 109026, 127359, 25197, 110305, 66953, 112193, 115991, 33541, 9174, 14711, 104358, 163, 65620, 108602, 105988, 108969, 11972, 198, 163, 65620, 108602, 105988, 108969, 11972, 107118, 5486, 105988, 108969, 11972, 20230, 163, 65620, 108602, 53610, 30512, 107960, 112371, 28713, 102944, 38641, 9174, 19967, 76947, 114225, 20230, 105988, 108969, 11972, 30512, 21105, 103, 16995, 19732, 163, 65620, 108602, 102472, 22398, 29295, 123733, 76947, 114732, 103846, 5486, 46034, 103856, 47884, 105988, 108969, 11972, 54926, 105908, 27384, 102769, 38641, 9174, 51330, 74482, 126362, 54926, 163, 65620, 108602, 109026, 71289, 68759, 25197, 110305, 66953, 112193, 108680, 16144, 8239, 114503, 15682, 124897, 29295, 5486, 103572, 38574, 123044, 30512, 99695, 67075, 60868, 125933, 20230, 89046, 106824, 23039, 47884, 108710, 101557, 96, 29295, 103470, 37026, 110362, 16556, 105988, 108969, 11972, 103792, 24273, 15682, 46034, 117355, 20230, 106081, 17663, 105908, 125545, 9174, 14711, 104358, 163, 65620, 108602, 109026, 198, 163, 65620, 108602, 109026, 15682, 33334, 124527, 20230, 163, 65620, 108602, 102472, 22398, 30512, 17701, 103468, 102944, 38641, 9174, 20834, 103792, 33334, 124527, 20230, 163, 65620, 108602, 102472, 22398, 29295, 17701, 103836, 105879, 5486, 163, 65620, 108602, 105988, 108969, 38248, 230, 31431, 32977, 114392, 20230, 163, 65620, 108602, 16144, 8239, 114503, 30512, 102404, 127327, 125545, 9174, 99695, 67075, 60868, 125933, 77181, 114363, 11883, 16144, 101513, 109472, 30512, 107740, 39926, 33334, 124527, 20230, 163, 65620, 108602, 102472, 22398, 30512, 125639, 100481, 50834, 33541, 29295, 5486, 108321, 15682, 112825, 110904, 20230, 46034, 109156, 30369, 105879, 37026, 110362, 72661, 106081, 17663, 105908, 125545, 9174, 46729, 16556, 19967, 30369, 126513, 2137, 27479, 113314, 16144, 123044, 29295, 27699, 116, 32149, 104028, 33857, 112197, 124527, 20230, 30358, 27552, 117, 31809, 30813, 100204, 17, 5486, 29220, 76739, 16073, 108602, 31809, 30813, 100204, 16, 30512, 17701, 104028, 19732, 163, 65620, 108602, 109026, 16144, 61648, 38641, 9174, 30358, 27552, 117, 71289, 29220, 76739, 16073, 108602, 15682, 19012, 225, 21418, 11883, 16144, 102944, 32977, 122626, 116216, 61689, 29295, 5486, 119008, 43955, 53953, 103306, 122626, 110731, 102944, 124905, 76947, 106081, 39926, 102532, 72315, 101832, 9174, 14711, 104358, 68759, 25197, 110305, 66953, 112193, 198, 68759, 25197, 110305, 66953, 112193, 107118, 5486, 120613, 16144, 19732, 108086, 110993, 31809, 16144, 95221, 122939, 16144, 118733, 122603, 27479, 108914, 27699, 226, 121432, 19732, 127173, 106824, 61689, 9174, 68759, 25197, 110305, 15682, 95221, 122939, 16144, 115844, 30512, 64467, 15024, 5486, 163, 65620, 108602, 126036, 104398, 121867, 105879, 123044, 16144, 105811, 123222, 107809, 103296, 124629, 21980, 248, 33121, 71289, 105871, 121496, 30512, 102936, 19732, 122101, 112973, 66378, 17599, 112, 38641, 9174, 105988, 124049, 16556, 108914, 27699, 226, 54926, 110115, 57106, 115694, 108914, 27699, 226, 48634, 29295, 45736, 47884, 5486, 100990, 118, 114758, 20230, 108914, 16995, 109415, 30369, 105908, 125545, 9174, 68759, 25197, 110305, 66953, 112193, 15682, 122148, 101198, 94550, 60868, 125933, 104309, 118969, 75694, 17129, 26854, 72516, 16556, 108167, 125639, 102204, 5486, 163, 65620, 108602, 109026, 19732, 126419, 107294, 124233, 104028, 115789, 57903, 33541, 9174, 567, 106030, 68581, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 8239, 114503, 198, 105988, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 8239, 114503, 103306, 5486, 104473, 23039, 16144, 113096, 103130, 5486, 21980, 248, 33121, 71289, 33420, 26274, 255, 8239, 114503, 30512, 102404, 127327, 54926, 5486, 37823, 119539, 108270, 38248, 115, 78205, 16073, 8239, 114503, 104309, 29295, 123680, 102639, 102204, 33541, 9174, 77693, 108422, 33121, 16144, 8239, 114503, 19732, 5486, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 123410, 107803, 16144, 118430, 27479, 32977, 91774, 100481, 50834, 17129, 109954, 9174, 14711, 104358, 104473, 23039, 16144, 113096, 103130, 198, 163, 65620, 108602, 124905, 30297, 8239, 114503, 103306, 104473, 23039, 16144, 113096, 103130, 29295, 123680, 102639, 102204, 5486, 163, 65620, 108602, 105988, 108969, 11972, 5486, 163, 65620, 108602, 109026, 127359, 25197, 110305, 66953, 112193, 107809, 77181, 163, 65620, 108602, 109026, 29295, 8239, 114503, 29295, 126574, 19732, 117952, 106824, 61689, 9174, 163, 65620, 108602, 102472, 22398, 15682, 123044, 16144, 105871, 104735, 248, 55031, 107246, 110226, 84389, 104533, 105811, 104398, 104473, 36651, 20230, 103296, 124629, 121423, 33541, 9174, 105811, 104398, 104473, 36651, 109156, 104533, 163, 65620, 108602, 15682, 104473, 36651, 30512, 108285, 102639, 110071, 103846, 5486, 104473, 23039, 29295, 113096, 103130, 84389, 33541, 9174, 85701, 112212, 123044, 16144, 101307, 105811, 20230, 102040, 37823, 71289, 103223, 104930, 125334, 30369, 121142, 103470, 121453, 118741, 31640, 118835, 71289, 103048, 115075, 48634, 16144, 70141, 115442, 125545, 9174, 53900, 5486, 104473, 23039, 29295, 113096, 103130, 84389, 104533, 37026, 104063, 101365, 106613, 29295, 64531, 16995, 108048, 112212, 37823, 32131, 107840, 8239, 114503, 32977, 125494, 125545, 9174, 14711, 104358, 21980, 248, 33121, 71289, 33420, 26274, 255, 8239, 114503, 198, 163, 65620, 108602, 16144, 95221, 122939, 29295, 105871, 121496, 20230, 107246, 100815, 54926, 118733, 5486, 105988, 124049, 16556, 90620, 108914, 27699, 226, 54926, 105755, 21980, 248, 33121, 29295, 120175, 126172, 47884, 109020, 8239, 114503, 115991, 33541, 9174, 104398, 121867, 95221, 122939, 127303, 104984, 101182, 108680, 123044, 16144, 105811, 16144, 102831, 24186, 71289, 105811, 123222, 107809, 103296, 124629, 121423, 21980, 248, 33121, 30512, 102936, 19732, 17663, 105879, 127359, 25197, 110305, 66953, 112193, 29295, 126574, 8239, 114503, 30512, 102404, 127327, 78434, 9174, 53900, 5486, 117032, 127303, 104984, 105988, 108969, 11972, 30512, 39926, 9039, 9080, 106613, 38144, 81219, 123044, 16144, 106063, 66378, 26854, 99695, 67075, 26274, 255, 29295, 39926, 114732, 110229, 5486, 163, 65620, 108602, 16556, 105811, 123222, 107809, 16144, 105871, 121496, 71289, 21980, 248, 33121, 30512, 108167, 21418, 105784, 17620, 5486, 33420, 26274, 255, 8239, 114503, 29295, 101544, 47884, 106307, 50834, 33541, 9174, 14711, 104358, 122148, 101198, 94550, 82973, 16144, 106649, 123332, 20230, 103721, 233, 29295, 30369, 198, 21980, 248, 33121, 30512, 126120, 96455, 112535, 102936, 19732, 122101, 105879, 5486, 123044, 30512, 99849, 27479, 32977, 105988, 108969, 11972, 54926, 46034, 56965, 29295, 66870, 76622, 82973, 16144, 106649, 123332, 115717, 33541, 9174, 53900, 5486, 105811, 123222, 16144, 105665, 55031, 108914, 27699, 226, 108608, 105879, 105811, 16144, 118013, 115442, 31431, 29295, 103424, 47884, 5486, 110101, 57207, 29295, 126929, 126172, 115737, 31431, 33541, 9174, 126120, 96455, 112535, 110101, 57207, 119707, 76622, 102204, 104533, 45923, 102803, 104930, 115247, 104346, 30512, 105811, 16144, 56965, 71289, 102831, 24186, 20230, 40265, 125655, 105908, 103082, 5486, 122270, 82973, 16144, 106649, 123332, 115717, 33541, 9174, 53900, 5486, 105988, 108969, 38248, 226, 45923, 102803, 104930, 115247, 104840, 104346, 113115, 39926, 109755, 119467, 71289, 127408, 30512, 108623, 47884, 123044, 32977, 61689, 29295, 5486, 37087, 33014, 112535, 82973, 30512, 106649, 123332, 54926, 118733, 127408, 20230, 112391, 30369, 82973, 32977, 106649, 115737, 31431, 5486, 71634, 108744, 16144, 117355, 114485, 107294, 105722, 31431, 33541, 9174, 14711, 104358, 105988, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 107803, 16144, 118430, 27479, 198, 104473, 23039, 30512, 113096, 103130, 103082, 21980, 248, 33121, 30512, 102936, 19732, 122101, 105879, 5486, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 15682, 103926, 123044, 20230, 121410, 9080, 72661, 23039, 102334, 16995, 102663, 39880, 38641, 123794, 9174, 101513, 109472, 30512, 38129, 54926, 68759, 25197, 110305, 66953, 112193, 15682, 111108, 106624, 111243, 5486, 37026, 110362, 16556, 108608, 163, 65620, 108602, 105988, 108969, 38248, 226, 163, 65620, 108602, 109026, 105110, 121410, 9080, 72661, 23039, 30297, 105908, 125545, 9174, 80673, 123334, 31431, 120195, 15682, 108493, 53953, 38641, 9174, 163, 65620, 108602, 15682, 21980, 248, 33121, 29295, 120175, 30369, 17620, 71289, 31431, 120195, 38144, 114732, 19732, 123044, 16144, 109215, 26854, 105871, 121496, 30512, 102936, 19732, 15024, 120195, 38144, 103801, 16995, 5486, 119455, 103809, 98, 71289, 105104, 76622, 5486, 32149, 106644, 64121, 71289, 105871, 104735, 248, 114052, 123160, 105871, 104735, 248, 20251, 32131, 112193, 30512, 113801, 125119, 17663, 125396, 115991, 33541, 9174, 101544 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 115145, 57207, 65299, 91062, 5486, 96452, 122148, 65299, 91062, 127359, 41758, 102750, 57207, 65299, 91062, 5486, 107805, 5486, 71493, 37823, 65299, 91062, 16144, 20, 118821, 122548, 16144, 122502, 50834, 104088, 100481, 50834, 17129, 109954, 9174, 7058, 9458, 115145, 57207, 65299, 91062, 1981, 110135, 35083, 16144, 115376, 5486, 104398, 112506, 121432, 16144, 102404, 102321, 19732, 109205, 69978, 123410, 198, 9458, 96452, 122148, 65299, 91062, 1981, 104398, 112506, 16144, 48915, 19732, 16325, 16144, 33014, 107654, 66953, 119930, 30512, 19732, 30369, 5486, 119049, 107079, 71289, 101365, 106613, 16144, 95543, 106608, 114556, 108826, 54926, 198, 120456, 41758, 102750, 57207, 65299, 91062, 1981, 76739, 124643, 104603, 11972, 21990, 106518, 5486, 33014, 104840, 16144, 109205, 69978, 5486, 103927, 33710, 102494, 113883, 17620, 14888, 234, 112649, 124233, 30369, 198, 9458, 107805, 1981, 115145, 57207, 65299, 91062, 19732, 102971, 102802, 59739, 102532, 110135, 71289, 127480, 116825, 109749, 198, 9458, 71493, 37823, 65299, 91062, 1981, 101365, 106613, 16144, 109834, 28194, 106, 71289, 119049, 107079, 16144, 110226, 123332, 112649, 124233, 30369, 198, 77693, 108422, 33121, 16144, 122502, 50834, 15682, 102717, 25827, 112028, 34048, 16556, 5486, 118969, 75694, 17129, 26854, 122502, 50834, 114792, 59739, 101198, 102750, 32131, 33710, 119627, 5486, 99046, 224, 31431, 120195, 38144, 114732, 19732, 123044, 16144, 111006, 102052, 109972, 106529, 117084, 114732, 107803, 32977, 9174, 123044, 29295, 163, 65620, 108602, 53610, 30512, 43240, 47884, 115320, 104004, 100909, 112212, 101198, 102750, 32131, 33710, 30512, 109215, 71689, 20230, 99046, 224, 76947, 114732, 118733, 64209, 55487, 26854, 104468, 5486, 126017, 47095, 102971, 102465, 71289, 101921, 236, 16937, 37087, 16144, 112997, 29220, 38641, 9174, 126017, 47095, 102971, 102465, 15682, 126017, 20230, 96412, 17129, 104028, 101198, 102750, 32131, 33710, 17620, 29295, 102971, 111494, 33208, 15024, 5486, 104735, 222, 91939, 109, 71289, 126017, 45893, 104309, 16556, 102971, 102465, 117084, 114732, 103429, 95221, 38641, 9174, 126017, 125334, 20230, 47884, 115737, 100472, 31431, 104473, 126017, 125334, 115926, 5486, 90962, 22398, 123044, 16144, 107803, 104398, 16995, 126017, 45893, 20230, 50520, 108, 17129, 76947, 114732, 19732, 51609, 112649, 124233, 30369, 115789, 57903, 33541, 9174, 53900, 5486, 101921, 236, 26274, 241, 16144, 122502, 50834, 16144, 115303, 59739, 103306, 101198, 102750, 32131, 33710, 17620, 16144, 104873, 107792, 115991, 33541, 29295, 5486, 101198, 102750, 32131, 33710, 30512, 99046, 224, 31431, 120195, 30369, 118733, 101921, 236, 26274, 241, 20230, 109972, 111600, 29295, 32149, 107277, 5486, 114392, 26854, 122502, 50834, 29295, 103082, 103470, 109020, 105908, 57903, 33541, 9174, 51330, 121894, 30512, 101921, 236, 16937, 37087, 102083, 61689, 9174, 101921, 236, 26274, 241, 15682, 127637, 109161, 47884, 39926, 114732, 19732, 71005, 30369, 109335, 124897, 105879, 5486, 43240, 33857, 16144, 163, 65620, 108602, 53610, 15682, 58318, 119841, 24273, 29295, 104712, 123253, 9174, 53900, 5486, 22398, 113390, 38248, 226, 109713, 91482, 78683, 104309, 16556, 23530, 114622, 110731, 163, 65620, 108602, 53610, 16144, 104091, 104770, 15682, 43240, 47884, 57903, 33541, 29295, 115847, 15682, 53610, 16144, 104091, 104770, 112212, 17620, 76622, 102204, 33541, 9174, 101198, 102750, 32131, 33710, 29295, 83747, 100604, 53610, 15682, 13177, 122279, 53610, 10646, 5486, 43240, 47884, 96412, 17129, 104028, 53610, 15682, 13177, 110567, 53610, 10646, 20230, 17620, 104770, 84389, 5486, 66378, 20230, 110567, 53610, 15682, 123044, 20230, 58318, 119841, 104466, 61633, 103801, 109954, 9174, 567, 10447, 65620, 108602, 115320, 42506, 15682, 115924, 103359, 20230, 58318, 107290, 112987, 124324, 198, 163, 65620, 108602, 53610, 15682, 83747, 33857, 105110, 109606, 103470, 58318, 58942, 120195, 102052, 61633, 103801, 109954, 19732, 102181, 50834, 79721, 29295, 5486, 123044, 20230, 163, 65620, 108602, 115320, 42506, 30512, 58318, 105262, 109335, 104712, 105879, 109954, 32149, 9174, 163, 65620, 108602, 53610, 15682, 53610, 20230, 41920, 108602, 33208, 163, 65620, 72238, 30512, 122026, 32149, 56051, 102944, 119627, 5486, 163, 65620, 108602, 115320, 42506, 15682, 77693, 20230, 110631, 64121, 71289, 102765, 42506, 30512, 102780, 56051, 102944, 16556, 5486, 91774, 28713, 30832, 71689, 20230, 43240, 119064, 117587, 17620, 29295, 96412, 17129, 106824, 61689, 9174, 123044, 15682, 110631, 64121, 30512, 112391, 30369, 105908, 108608, 105879, 5486, 127879, 76947, 114732, 19732, 58426, 74482, 121771, 98369, 111654, 21105, 234, 76947, 114732, 115789, 9174, 43240, 33857, 16144, 117587, 17620, 30512, 99046, 224, 76947, 114732, 118733, 117178, 112624, 71289, 117587, 126017, 103429, 5486, 127480, 41642, 103429, 30512, 113801, 125119, 17663, 109755, 33121, 115991, 33541, 9174, 66378, 20230, 117178, 112624, 15682, 102780, 115519, 20230, 109972, 106529, 119707, 105784, 118733, 34226, 109020, 103429, 95221, 16144, 102404, 21990, 54926, 109688, 117126, 115991, 5486, 117587, 126017, 103429, 32977, 15120, 21990, 114308, 40862, 107462, 107188, 118145, 105110, 100604, 103429, 95221, 38641, 9174, 127480, 41642, 103429, 32977, 104328, 67645, 115737, 104533, 108631, 64121, 16556, 52591, 65575, 29295, 125764, 102204, 123733, 31431, 5486, 108068, 100845, 242, 119707, 107441, 127480, 30512, 113487, 47884, 117120, 22324, 29295, 109215, 26854, 107803, 32977, 57903, 33541, 9174, 51330, 100909, 55031, 5486, 123044, 20230, 163, 65620, 108602, 115320, 42506, 15682, 115924, 103359, 20230, 58318, 119841, 104466, 103801, 109954, 9174, 567, 10447, 65620, 108602, 124905, 100472, 105988, 108969, 115247, 104091, 104770, 198, 123044, 20230, 163, 65620, 108602, 53610, 30512, 58318, 105262, 39850, 37823, 67075, 120937, 19732, 102181, 50834, 79721, 29295, 5486, 105988, 108969, 11972, 103306, 33655, 30297, 104468, 104405, 26854, 105879, 109954, 32149, 9174, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 102052, 163, 65620, 108602, 105988, 108969, 11972, 5486, 163, 65620, 108602, 109026, 127359, 25197, 110305, 66953, 112193, 115991, 33541, 9174, 14711, 104358, 163, 65620, 108602, 105988, 108969, 11972, 198, 163, 65620, 108602, 105988, 108969, 11972, 107118, 5486, 105988, 108969, 11972, 20230, 163, 65620, 108602, 53610, 30512, 107960, 112371, 28713, 102944, 38641, 9174, 19967, 76947, 114225, 20230, 105988, 108969, 11972, 30512, 21105, 103, 16995, 19732, 163, 65620, 108602, 102472, 22398, 29295, 123733, 76947, 114732, 103846, 5486, 46034, 103856, 47884, 105988, 108969, 11972, 54926, 105908, 27384, 102769, 38641, 9174, 51330, 74482, 126362, 54926, 163, 65620, 108602, 109026, 71289, 68759, 25197, 110305, 66953, 112193, 108680, 16144, 8239, 114503, 15682, 124897, 29295, 5486, 103572, 38574, 123044, 30512, 99695, 67075, 60868, 125933, 20230, 89046, 106824, 23039, 47884, 108710, 101557, 96, 29295, 103470, 37026, 110362, 16556, 105988, 108969, 11972, 103792, 24273, 15682, 46034, 117355, 20230, 106081, 17663, 105908, 125545, 9174, 14711, 104358, 163, 65620, 108602, 109026, 198, 163, 65620, 108602, 109026, 15682, 33334, 124527, 20230, 163, 65620, 108602, 102472, 22398, 30512, 17701, 103468, 102944, 38641, 9174, 20834, 103792, 33334, 124527, 20230, 163, 65620, 108602, 102472, 22398, 29295, 17701, 103836, 105879, 5486, 163, 65620, 108602, 105988, 108969, 38248, 230, 31431, 32977, 114392, 20230, 163, 65620, 108602, 16144, 8239, 114503, 30512, 102404, 127327, 125545, 9174, 99695, 67075, 60868, 125933, 77181, 114363, 11883, 16144, 101513, 109472, 30512, 107740, 39926, 33334, 124527, 20230, 163, 65620, 108602, 102472, 22398, 30512, 125639, 100481, 50834, 33541, 29295, 5486, 108321, 15682, 112825, 110904, 20230, 46034, 109156, 30369, 105879, 37026, 110362, 72661, 106081, 17663, 105908, 125545, 9174, 46729, 16556, 19967, 30369, 126513, 2137, 27479, 113314, 16144, 123044, 29295, 27699, 116, 32149, 104028, 33857, 112197, 124527, 20230, 30358, 27552, 117, 31809, 30813, 100204, 17, 5486, 29220, 76739, 16073, 108602, 31809, 30813, 100204, 16, 30512, 17701, 104028, 19732, 163, 65620, 108602, 109026, 16144, 61648, 38641, 9174, 30358, 27552, 117, 71289, 29220, 76739, 16073, 108602, 15682, 19012, 225, 21418, 11883, 16144, 102944, 32977, 122626, 116216, 61689, 29295, 5486, 119008, 43955, 53953, 103306, 122626, 110731, 102944, 124905, 76947, 106081, 39926, 102532, 72315, 101832, 9174, 14711, 104358, 68759, 25197, 110305, 66953, 112193, 198, 68759, 25197, 110305, 66953, 112193, 107118, 5486, 120613, 16144, 19732, 108086, 110993, 31809, 16144, 95221, 122939, 16144, 118733, 122603, 27479, 108914, 27699, 226, 121432, 19732, 127173, 106824, 61689, 9174, 68759, 25197, 110305, 15682, 95221, 122939, 16144, 115844, 30512, 64467, 15024, 5486, 163, 65620, 108602, 126036, 104398, 121867, 105879, 123044, 16144, 105811, 123222, 107809, 103296, 124629, 21980, 248, 33121, 71289, 105871, 121496, 30512, 102936, 19732, 122101, 112973, 66378, 17599, 112, 38641, 9174, 105988, 124049, 16556, 108914, 27699, 226, 54926, 110115, 57106, 115694, 108914, 27699, 226, 48634, 29295, 45736, 47884, 5486, 100990, 118, 114758, 20230, 108914, 16995, 109415, 30369, 105908, 125545, 9174, 68759, 25197, 110305, 66953, 112193, 15682, 122148, 101198, 94550, 60868, 125933, 104309, 118969, 75694, 17129, 26854, 72516, 16556, 108167, 125639, 102204, 5486, 163, 65620, 108602, 109026, 19732, 126419, 107294, 124233, 104028, 115789, 57903, 33541, 9174, 567, 106030, 68581, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 8239, 114503, 198, 105988, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 8239, 114503, 103306, 5486, 104473, 23039, 16144, 113096, 103130, 5486, 21980, 248, 33121, 71289, 33420, 26274, 255, 8239, 114503, 30512, 102404, 127327, 54926, 5486, 37823, 119539, 108270, 38248, 115, 78205, 16073, 8239, 114503, 104309, 29295, 123680, 102639, 102204, 33541, 9174, 77693, 108422, 33121, 16144, 8239, 114503, 19732, 5486, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 123410, 107803, 16144, 118430, 27479, 32977, 91774, 100481, 50834, 17129, 109954, 9174, 14711, 104358, 104473, 23039, 16144, 113096, 103130, 198, 163, 65620, 108602, 124905, 30297, 8239, 114503, 103306, 104473, 23039, 16144, 113096, 103130, 29295, 123680, 102639, 102204, 5486, 163, 65620, 108602, 105988, 108969, 11972, 5486, 163, 65620, 108602, 109026, 127359, 25197, 110305, 66953, 112193, 107809, 77181, 163, 65620, 108602, 109026, 29295, 8239, 114503, 29295, 126574, 19732, 117952, 106824, 61689, 9174, 163, 65620, 108602, 102472, 22398, 15682, 123044, 16144, 105871, 104735, 248, 55031, 107246, 110226, 84389, 104533, 105811, 104398, 104473, 36651, 20230, 103296, 124629, 121423, 33541, 9174, 105811, 104398, 104473, 36651, 109156, 104533, 163, 65620, 108602, 15682, 104473, 36651, 30512, 108285, 102639, 110071, 103846, 5486, 104473, 23039, 29295, 113096, 103130, 84389, 33541, 9174, 85701, 112212, 123044, 16144, 101307, 105811, 20230, 102040, 37823, 71289, 103223, 104930, 125334, 30369, 121142, 103470, 121453, 118741, 31640, 118835, 71289, 103048, 115075, 48634, 16144, 70141, 115442, 125545, 9174, 53900, 5486, 104473, 23039, 29295, 113096, 103130, 84389, 104533, 37026, 104063, 101365, 106613, 29295, 64531, 16995, 108048, 112212, 37823, 32131, 107840, 8239, 114503, 32977, 125494, 125545, 9174, 14711, 104358, 21980, 248, 33121, 71289, 33420, 26274, 255, 8239, 114503, 198, 163, 65620, 108602, 16144, 95221, 122939, 29295, 105871, 121496, 20230, 107246, 100815, 54926, 118733, 5486, 105988, 124049, 16556, 90620, 108914, 27699, 226, 54926, 105755, 21980, 248, 33121, 29295, 120175, 126172, 47884, 109020, 8239, 114503, 115991, 33541, 9174, 104398, 121867, 95221, 122939, 127303, 104984, 101182, 108680, 123044, 16144, 105811, 16144, 102831, 24186, 71289, 105811, 123222, 107809, 103296, 124629, 121423, 21980, 248, 33121, 30512, 102936, 19732, 17663, 105879, 127359, 25197, 110305, 66953, 112193, 29295, 126574, 8239, 114503, 30512, 102404, 127327, 78434, 9174, 53900, 5486, 117032, 127303, 104984, 105988, 108969, 11972, 30512, 39926, 9039, 9080, 106613, 38144, 81219, 123044, 16144, 106063, 66378, 26854, 99695, 67075, 26274, 255, 29295, 39926, 114732, 110229, 5486, 163, 65620, 108602, 16556, 105811, 123222, 107809, 16144, 105871, 121496, 71289, 21980, 248, 33121, 30512, 108167, 21418, 105784, 17620, 5486, 33420, 26274, 255, 8239, 114503, 29295, 101544, 47884, 106307, 50834, 33541, 9174, 14711, 104358, 122148, 101198, 94550, 82973, 16144, 106649, 123332, 20230, 103721, 233, 29295, 30369, 198, 21980, 248, 33121, 30512, 126120, 96455, 112535, 102936, 19732, 122101, 105879, 5486, 123044, 30512, 99849, 27479, 32977, 105988, 108969, 11972, 54926, 46034, 56965, 29295, 66870, 76622, 82973, 16144, 106649, 123332, 115717, 33541, 9174, 53900, 5486, 105811, 123222, 16144, 105665, 55031, 108914, 27699, 226, 108608, 105879, 105811, 16144, 118013, 115442, 31431, 29295, 103424, 47884, 5486, 110101, 57207, 29295, 126929, 126172, 115737, 31431, 33541, 9174, 126120, 96455, 112535, 110101, 57207, 119707, 76622, 102204, 104533, 45923, 102803, 104930, 115247, 104346, 30512, 105811, 16144, 56965, 71289, 102831, 24186, 20230, 40265, 125655, 105908, 103082, 5486, 122270, 82973, 16144, 106649, 123332, 115717, 33541, 9174, 53900, 5486, 105988, 108969, 38248, 226, 45923, 102803, 104930, 115247, 104840, 104346, 113115, 39926, 109755, 119467, 71289, 127408, 30512, 108623, 47884, 123044, 32977, 61689, 29295, 5486, 37087, 33014, 112535, 82973, 30512, 106649, 123332, 54926, 118733, 127408, 20230, 112391, 30369, 82973, 32977, 106649, 115737, 31431, 5486, 71634, 108744, 16144, 117355, 114485, 107294, 105722, 31431, 33541, 9174, 14711, 104358, 105988, 108969, 11972, 16556, 163, 65620, 108602, 124905, 30297, 107803, 16144, 118430, 27479, 198, 104473, 23039, 30512, 113096, 103130, 103082, 21980, 248, 33121, 30512, 102936, 19732, 122101, 105879, 5486, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 15682, 103926, 123044, 20230, 121410, 9080, 72661, 23039, 102334, 16995, 102663, 39880, 38641, 123794, 9174, 101513, 109472, 30512, 38129, 54926, 68759, 25197, 110305, 66953, 112193, 15682, 111108, 106624, 111243, 5486, 37026, 110362, 16556, 108608, 163, 65620, 108602, 105988, 108969, 38248, 226, 163, 65620, 108602, 109026, 105110, 121410, 9080, 72661, 23039, 30297, 105908, 125545, 9174, 80673, 123334, 31431, 120195, 15682, 108493, 53953, 38641, 9174, 163, 65620, 108602, 15682, 21980, 248, 33121, 29295, 120175, 30369, 17620, 71289, 31431, 120195, 38144, 114732, 19732, 123044, 16144, 109215, 26854, 105871, 121496, 30512, 102936, 19732, 15024, 120195, 38144, 103801, 16995, 5486, 119455, 103809, 98, 71289, 105104, 76622, 5486, 32149, 106644, 64121, 71289, 105871, 104735, 248, 114052, 123160, 105871, 104735, 248, 20251, 32131, 112193, 30512, 113801, 125119, 17663, 125396, 115991, 33541, 9174, 101544 ]
[ 105811, 104091, 16144, 123044, 15682, 21980, 248, 33121, 29295, 59739, 50834, 126172, 102334, 62004, 43240, 47884, 111243, 111299, 16, 9080, 55031, 605, 117816, 16, 27479, 5486, 106649, 105811, 104091, 16144, 123044, 16144, 107803, 9953, 16, 21909, 17, 18904, 113314, 116446, 33334, 50834, 5486, 103572, 38574, 112197, 46034, 125639, 107118, 108010, 30297, 118347, 123618, 102663, 39880, 103306, 107740, 109768, 50834, 17129, 109954, 9174, 567, 220, 123011, 62004, 198, 37271, 18904, 15682, 123044, 20230, 163, 65620, 108602, 53610, 30512, 115320, 105823, 111243, 104712, 32149, 102677, 100909, 19732, 5486, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 109853, 91774, 100481, 50834, 79721, 9174, 9458, 163, 65620, 108602, 53610, 15682, 83747, 33857, 105110, 58318, 107290, 32977, 104712, 29295, 5486, 123044, 125030, 76947, 66378, 20230, 39850, 37823, 67075, 120937, 198, 9458, 68408, 39850, 37823, 67075, 103306, 58318, 58942, 120195, 104533, 163, 65620, 108602, 16556, 91939, 225, 29295, 104735, 101, 33121, 52591, 65575, 16144, 125764, 71289, 115320, 53610, 33857, 20230, 117375, 30512, 58318, 105262, 115789, 198, 9458, 101198, 102750, 32131, 33710, 30512, 103188, 21403, 108, 20230, 99046, 224, 104533, 126017, 47095, 102971, 102465, 71289, 101921, 236, 16937, 37087, 16144, 112997, 29220, 107407, 198, 9458, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 103306, 163, 65620, 108602, 105988, 108969, 11972, 5486, 163, 65620, 108602, 109026, 127359, 25197, 110305, 66953, 112193, 107407, 198, 9458, 163, 65620, 108602, 124905, 100472, 105988, 108969, 115247, 8239, 114503, 103306, 123044, 16144, 104473, 23039, 16144, 113096, 103130, 71289, 21980, 248, 33121, 30512, 102936, 19732, 15024, 33420, 26274, 255, 8239, 114503, 114792, 106307, 124545, 100909, 5486, 122148, 101198, 94550, 82973, 16144, 106649, 123332, 20230, 103721, 233, 29295, 30369, 105908, 123680, 102639, 110071, 198, 9458, 118347, 123618, 102663, 39880, 103306, 101544, 105811, 104091, 16144, 123044, 77181, 111299, 16, 55031, 605, 117816, 16, 27479, 5486, 106649, 105811, 104091, 16144, 123044, 105110, 9953, 16, 21909, 17, 18904, 113314, 125030, 67645, 109315, 198, 163, 65620, 108602, 53610, 15682, 123044, 125030, 76947, 115320, 105823, 111243, 66378, 20230, 39850, 37823, 67075, 15682, 103470, 5486, 116900, 20230, 101198, 102750, 32131, 114615, 96412, 19361, 33857, 71289, 58318, 105262, 33857, 20230, 61633, 29295, 109215, 119627, 5486, 105988, 108969, 11972, 103306, 103926, 123044, 20230, 33655, 30297, 107803, 104473, 23039, 30512, 113096, 103130, 56051, 31431, 126574, 21980, 248, 33121, 120175, 71289, 33420, 26274, 255, 8239, 114503, 30512, 102404, 127327, 56051, 31431, 39926, 120700, 33541, 9174, 39135, 104680, 26854, 107740, 41007, 30512, 53283, 31431, 5486, 114715, 72661, 103926, 123044, 16144, 113009, 104712, 41007, 104088, 126268, 100481, 50834, 17129, 109954, 6447, 128001, 128000, 1569, 115, 1569, 101, 119010, 104023, 102616, 33563, 105298, 101513, 97518, 15682, 5486, 28713, 81219, 51330, 83601, 104, 124623, 30046, 29295, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 96455, 29295, 103167, 16995, 117408, 102473, 113702, 109853, 36896, 102473, 15682, 107624, 95001, 114475, 107674, 102944, 126194, 5486, 83601, 104, 124623, 30046, 15682, 30358, 111571, 33208, 54926, 112997, 29220, 29295, 126574, 66383, 104970, 58655, 121256, 9174, 85701, 15682, 52591, 93488, 117718, 122412, 29295, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 30046, 33334, 57980, 27929, 46702, 66115, 27113, 17792, 30512, 104873, 103854, 28713, 102944, 16556, 5486, 99750, 108208, 30046, 122692, 83601, 104, 124623, 112919, 57106, 96455, 15682, 44597, 59983, 34617, 113127, 19732, 5486, 66776, 83601, 104, 124623, 30046, 20230, 57106, 115694, 27384, 111044, 20230, 83747, 104435, 103306, 61689, 118844, 15682, 52591, 119930, 117409, 16144, 83601, 104, 124623, 96455, 25963, 44597, 113127, 19732, 57106, 103854, 111243, 103167, 47884, 5486, 78683, 47260, 78459, 16073, 20230, 99849, 33503, 116421, 99750, 108208, 103911, 103181, 8239, 114503, 107407, 125396, 29295, 126574, 19732, 64467, 112419, 127145, 9174, 80673, 5486, 1569, 115, 1569, 101, 119010, 15682, 66224, 9080, 110371, 102473, 113702, 109853, 13177, 112185, 107624, 95001, 114475, 107674, 102944, 111769, 66383, 39926, 5486, 83601, 104, 124623, 19732, 99750, 108208, 110792, 63212, 28873, 116690, 30512, 104736, 62004, 105823, 104127, 56051, 109807, 17905, 16556, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 15682, 105324, 107246, 32648, 39276, 16144, 116436, 111694, 16556, 5486, 83601, 104, 124623, 29295, 111571, 103397, 30512, 101544, 73686, 32149, 72342, 5486, 30358, 111571, 33208, 112997, 29220, 29295, 45736, 17129, 104533, 54926, 16995, 47884, 59739, 102944, 102473, 113702, 107407, 103306, 5486, 28713, 81219, 22957, 29295, 127177, 103429, 95221, 125030, 114598, 102987, 106145, 26854, 104698, 107407, 109335, 5486, 17663, 16556, 20230, 53283, 125398, 19732, 104970, 58655, 121256, 3490, 117811, 24186, 25, 63415, 108493, 124623, 30512, 84851, 15024, 103130, 107436, 105898, 78847, 98369, 115515, 34226, 47307, 66953, 47260, 29295, 47260, 42634, 96452, 103911, 103181, 108176, 114016, 104736, 109315, 113334, 102052, 23039, 107188, 102131, 198, 16, 11, 14648, 11, 931, 17792, 52118, 8107, 56965, 198, 13897, 11, 931, 17792, 52118, 23706, 234, 198, 1041, 11, 931, 17792, 52118, 57942, 118, 114052, 198, 508, 11, 931, 17792, 52118, 37026, 108055, 198, 1114, 11, 931, 17792, 52118, 33334, 104346, 17857, 224, 198, 24, 11, 931, 17792, 52118, 108436, 105987, 198, 18, 11, 2636, 17792, 52118, 109060, 123429, 198, 18, 11, 931, 17792, 52118, 76171, 52591, 33710, 198, 16, 11, 3101, 17792, 52118, 33334, 101960, 227, 7, 2511, 16, 9953, 116771, 340, 22922, 17792, 52118, 47260, 42634, 96452, 198, 8652, 17792, 52118, 113351, 17905, 102625, 198, 22398, 78525, 39850, 66953, 78459, 52118, 605, 8107, 115274, 16556, 8107, 972, 17792, 198, 1032, 17792, 52118, 102936, 97565, 198, 17, 17792, 52118, 29220, 68759, 198, 103621, 62903, 124366, 52118, 16, 17792, 198, 106613, 111587, 105150, 100990, 119, 30512, 125119, 39926, 114604, 33503, 102433, 29504, 70821, 16144, 102717, 109416, 37087, 38144, 29295, 107202, 103496, 20230, 14309, 98, 33121, 110071, 198, 124572, 20230, 120572, 11571, 15120, 32307, 105564, 92148, 110, 76947, 47260, 42634, 96452, 29295, 113385, 16556, 2636, 32307, 17792, 102625, 112179, 19732, 119607, 198, 77693, 72661, 102433, 37087, 33014, 29295, 106613, 111587, 105150, 100990, 119, 39926, 105721, 78183, 30369, 105755, 68759, 57207, 36785, 85791, 198, 15120, 117913, 9039, 103633, 32307, 114754, 47095, 103892, 20230, 109440, 30297, 105755, 37087, 61994, 104712, 198, 108064, 32149, 15682, 104662, 64889, 21105, 103, 50834, 101668, 16995, 124324, 102189, 57980, 5486, 118146, 105068, 124324, 16556, 102321, 103350, 30512, 108056, 19732, 74245, 103984, 15024, 85791, 57980, 6447, 103188, 27479, 16144, 37026, 90397, 249, 15682, 102433, 30512, 121143, 109416, 17663, 5486, 122270, 118288, 37271, 77181, 106613, 111587, 107202, 55031, 37026, 108055, 30046, 71289, 47260, 42634, 96452, 117139, 64121, 16144, 127688, 32977, 43240, 9039, 102404, 21990, 198, 17129, 108861, 67645, 16144, 45893, 85701, 71689, 37026, 90397, 249, 106307, 107441, 32977, 29504, 70821, 29295, 108031, 37046, 110020, 16144, 48249, 98220, 16556, 104284, 124475, 71289, 109315, 108995, 29295, 26854, 198, 115320, 102456, 101275, 107328, 114181, 101426, 101275, 114950, 16144, 106613, 112167, 30046, 32977, 108703, 35330, 17129, 64121, 33121, 121993, 105184, 23187, 75293, 59739, 105755, 37026, 36668, 112535, 91875, 50834, 121406, 108995, 9174, 119539, 99959, 10110, 107391, 39850, 33710, 120732, 74482, 102052, 110677, 32977, 20834, 30369, 21909, 198, 83601, 104, 124623, 30046, 15682, 47260, 42634, 96452, 20230, 115856, 107277, 109669, 110706, 107493, 115856, 102518, 33503, 30358, 114218, 76947, 30926, 95532, 58426, 32149, 116547, 117373, 104584, 105150, 103646, 33503, 103048, 115075, 48634, 119703, 55031, 90962, 102756, 33710, 19732, 198, 15581, 117, 111694, 112990, 30358, 111571, 33208, 54926, 105184, 96455, 29295, 115442, 30369, 198, 102677, 30926, 110034, 16144, 95532, 100543, 249, 16555, 122, 21105, 103, 16995, 21105, 103, 198, 90962, 44971, 120885, 102131, 91763, 30297, 198, 109860, 15581, 117, 111694, 96455, 29295, 103167, 16995, 128001, 128000, 14711, 94632, 125581, 611, 107531, 103507, 50667, 765, 118199, 27479, 91875, 70141, 198, 827, 107637, 33122, 105888, 25333, 16144, 109790, 18904, 23226, 37656, 10110, 679, 19, 8107, 20, 9953, 16, 9080, 102923, 23039, 120732, 107963, 31634, 198, 68431, 50550, 107963, 31634, 679, 18, 8107, 23, 9953, 966, 9080, 5486, 30537, 717, 23538, 111717, 104733, 106691, 112345, 40053, 102781, 114373, 38093, 30537, 19, 18904, 38093, 104760, 121960, 13177, 111717, 104733, 106691, 112345, 40053, 102781, 114373, 38093, 107809, 105189, 118514, 33122, 105888, 25333, 23226, 37656, 109853, 16144, 122074, 10646, 29295, 126954, 15024, 5486, 23226, 37656, 59795, 33122, 105888, 25333, 15682, 5486, 679, 19, 8107, 20, 9953, 16, 9080, 105755, 102923, 23039, 107001, 103911, 23187, 103195, 1811, 36668, 26854, 23226, 37656, 44915, 15682, 5486, 79785, 71174, 33122, 105888, 16144, 106839, 17701, 112160, 33122, 105888, 43240, 24775, 17620, 20834, 112622, 114305, 16144, 106839, 17701, 5486, 117859, 112984, 9458, 117859, 22649, 117232, 31958, 105184, 33208, 5486, 108901, 104760, 102782, 80195, 114305, 16144, 23226, 37656, 10110, 108901, 104760, 102782, 80195, 16144, 36668, 33014, 127253, 109311, 32018, 114667, 16144, 119379, 50667, 65459, 33122, 105888, 112607, 117976, 104698, 23039, 101399, 16144, 16906, 111, 15581, 108, 33208, 50667, 103195, 9174, 68431, 50550, 116718, 127253, 104650, 37689, 28542, 198, 11144, 116718, 112479, 22656, 83932, 77181, 5486, 679, 19, 8107, 9953, 20, 9953, 16, 117816, 102923, 23039, 107001, 59795, 16144, 23226, 37656, 33122, 105888, 25333, 109853, 5486, 105572, 26854, 23226, 37656, 44915, 30512, 126362, 54926, 9174, 7, 16, 8, 84410, 105888, 20834, 112622, 107707, 102924, 112904, 30512, 111629, 30369, 124122, 23226, 37656, 198, 1998, 8, 119399, 71174, 33122, 105888, 16144, 106839, 17701, 10110, 30537, 23, 40089, 123407, 33122, 105888, 125104, 114475, 105784, 105908, 108608, 104091, 104770, 103306, 79785, 71174, 29295, 17039, 28713, 20230, 116155, 103646, 9174, 31834, 8, 101961, 20834, 112622, 43240, 24775, 17620, 114305, 16144, 106839, 17701, 10110, 30537, 1313, 40089, 123407, 15120, 20834, 112622, 43240, 24775, 17620, 114305, 29295, 106839, 17701, 84389, 5486, 33122, 105888, 125104, 20834, 112622, 116537, 112160, 118821, 102782, 109311, 121960, 43240, 9039, 16144, 24775, 17620, 109853, 42016, 15120, 16144, 33122, 105888, 20834, 112622, 123410, 105908, 108608, 101200, 110276, 9174, 1998, 3893, 8, 49854, 102, 112984, 9458, 117859, 22649, 23538, 48249, 16144, 106045, 23187, 10110, 30537, 1591, 40089, 5486, 30537, 1958, 21909, 1758, 40089, 5486, 30537, 2096, 21909, 1774, 40089, 5486, 30537, 2491, 40089, 5486, 30537, 4370, 40089, 123407, 23226, 37656, 25333, 77181, 5486, 85707, 107436, 33122, 105888, 117859, 112984, 127253, 33122, 105888, 81742, 14558, 16144, 117859, 22649, 23538, 48249, 109853, 23187, 62004, 102204, 5486, 117859, 112984, 9458, 117859, 22649, 117232, 16144, 106649, 123332, 29295, 125494, 107001, 1811, 118789, 9554, 102052, 5486, 117859, 112984, 23538, 48249, 15682, 24, 2845, 113, 9953, 5486, 117859, 22649, 23538, 48249, 15682, 5486, 51450, 117859, 106053, 9458, 43568, 126120, 117859, 106053, 15682, 717, 32149, 9953, 5486, 43568, 126120, 107322, 58655, 113115, 54926, 117633, 117859, 16144, 117859, 22649, 15682, 24, 2845, 113, 9953, 5486, 122270, 5486, 119389, 26854, 127749, 122291, 126513, 18, 2845, 113, 9953, 102420, 15682, 21, 2845, 113, 9953, 109337, 101544, 108608, 101200, 108176, 118855, 5486, 33122, 105888, 117859, 106053, 114373, 38093, 111848, 16937, 44309, 117859, 106053, 81742, 14558, 16144, 117859, 22649, 121960, 5486, 97518, 89046, 54926, 61826, 23039, 112607, 60632, 16144, 105184, 23187, 109853, 114940, 106053, 32938, 16144, 117859, 22649, 16325, 16144, 81742, 14558, 102420, 15682, 107338, 101513, 97518, 16144, 117120, 22649, 16325, 16144, 81742, 14558, 16144, 113702, 30512, 102831, 26955, 254, 117408, 127749, 32977, 65854, 114181, 112535, 78698, 101557, 106, 56051, 17905, 16556, 5486, 81742, 14558, 117859, 22649, 30512, 16325, 82533, 54926, 105908, 108608, 115789, 106045, 23187, 56051, 9174, 72814, 8, 49854, 102, 112984, 46034, 106307, 16144, 23226, 106594, 10110, 30537, 1682, 40089, 123407, 23226, 37656, 25333, 77181, 36896, 117859, 112984, 103188, 39607, 121960, 5486, 33122, 105888, 91077, 29295, 33122, 105888, 125104, 20834, 112622, 44915, 109853, 122984, 102420, 15682, 111983, 37656, 54926, 109215, 107407, 19732, 122225, 56051, 107803, 5486, 20834, 112622, 17792, 20230, 122984, 102420, 15682, 111983, 37656, 30512, 105318, 54926, 105908, 108608, 66383, 106045, 23187, 84389, 5486, 20834, 112622, 107707, 37689, 91774, 30512, 36735, 112, 18655, 54926, 114305, 29295, 106839, 17701, 103646, 9174, 3832, 8, 107929, 108, 104760, 102782, 80195, 114305, 16144, 23226, 37656, 10110, 30537, 1644, 40089, 21909, 1958, 40089, 123407, 23226, 37656, 25580, 33122, 105888, 25333, 16144, 106045, 23187, 103732, 104984, 5486, 108901, 104760, 102782, 80195, 16144, 102782, 80195, 15682, 13177, 99849, 17792, 32977, 10646, 23039, 30297, 105908, 103082, 5486, 108901, 104760, 102782, 80195, 16144, 114667, 109853, 32977, 119379, 29295, 104435, 29295, 115515, 18904, 16144, 23226, 37656, 113468, 108901, 104760, 102782, 80195, 107707, 103087, 35083, 127253, 108901, 104760, 102782, 80195, 114667, 20230, 111419, 16144, 44416, 48249, 29295, 111681, 107001, 100909, 110276, 1811, 118789, 9554, 102052, 5486, 108901, 104760, 102782, 80195, 116537, 5486, 30537, 605, 21909, 717, 40089, 108010, 95543, 16144, 126513, 99849, 17792, 72661, 5486, 30537, 1032, 40089, 30537, 17, 21909, 18, 105904, 5486, 30537, 868, 40089, 5486, 30537, 845, 40089, 30537, 16, 105904, 5486, 30537, 966, 21909, 843, 40089, 108010, 95543, 30512, 114667, 117408, 126513, 58426, 61826, 23039, 112607, 60632, 30046, 102420, 15682, 60632, 104698, 116690, 114754, 108901, 104760, 102782, 80195, 117824, 30297, 105908, 108608, 102944, 19732, 31958, 61304, 103646, 118855, 5486, 33122, 105888, 117859, 106053, 34048, 16144, 108901, 104760, 102782, 80195, 20230, 108826, 30369, 122074, 20230, 16937, 44309, 107407, 32149, 114392, 26854, 114667, 71289, 110322, 26955, 254 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105811, 104091, 16144, 123044, 15682, 21980, 248, 33121, 29295, 59739, 50834, 126172, 102334, 62004, 43240, 47884, 111243, 111299, 16, 9080, 55031, 605, 117816, 16, 27479, 5486, 106649, 105811, 104091, 16144, 123044, 16144, 107803, 9953, 16, 21909, 17, 18904, 113314, 116446, 33334, 50834, 5486, 103572, 38574, 112197, 46034, 125639, 107118, 108010, 30297, 118347, 123618, 102663, 39880, 103306, 107740, 109768, 50834, 17129, 109954, 9174, 567, 220, 123011, 62004, 198, 37271, 18904, 15682, 123044, 20230, 163, 65620, 108602, 53610, 30512, 115320, 105823, 111243, 104712, 32149, 102677, 100909, 19732, 5486, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 109853, 91774, 100481, 50834, 79721, 9174, 9458, 163, 65620, 108602, 53610, 15682, 83747, 33857, 105110, 58318, 107290, 32977, 104712, 29295, 5486, 123044, 125030, 76947, 66378, 20230, 39850, 37823, 67075, 120937, 198, 9458, 68408, 39850, 37823, 67075, 103306, 58318, 58942, 120195, 104533, 163, 65620, 108602, 16556, 91939, 225, 29295, 104735, 101, 33121, 52591, 65575, 16144, 125764, 71289, 115320, 53610, 33857, 20230, 117375, 30512, 58318, 105262, 115789, 198, 9458, 101198, 102750, 32131, 33710, 30512, 103188, 21403, 108, 20230, 99046, 224, 104533, 126017, 47095, 102971, 102465, 71289, 101921, 236, 16937, 37087, 16144, 112997, 29220, 107407, 198, 9458, 163, 65620, 108602, 124905, 100472, 105988, 108969, 11972, 103306, 163, 65620, 108602, 105988, 108969, 11972, 5486, 163, 65620, 108602, 109026, 127359, 25197, 110305, 66953, 112193, 107407, 198, 9458, 163, 65620, 108602, 124905, 100472, 105988, 108969, 115247, 8239, 114503, 103306, 123044, 16144, 104473, 23039, 16144, 113096, 103130, 71289, 21980, 248, 33121, 30512, 102936, 19732, 15024, 33420, 26274, 255, 8239, 114503, 114792, 106307, 124545, 100909, 5486, 122148, 101198, 94550, 82973, 16144, 106649, 123332, 20230, 103721, 233, 29295, 30369, 105908, 123680, 102639, 110071, 198, 9458, 118347, 123618, 102663, 39880, 103306, 101544, 105811, 104091, 16144, 123044, 77181, 111299, 16, 55031, 605, 117816, 16, 27479, 5486, 106649, 105811, 104091, 16144, 123044, 105110, 9953, 16, 21909, 17, 18904, 113314, 125030, 67645, 109315, 198, 163, 65620, 108602, 53610, 15682, 123044, 125030, 76947, 115320, 105823, 111243, 66378, 20230, 39850, 37823, 67075, 15682, 103470, 5486, 116900, 20230, 101198, 102750, 32131, 114615, 96412, 19361, 33857, 71289, 58318, 105262, 33857, 20230, 61633, 29295, 109215, 119627, 5486, 105988, 108969, 11972, 103306, 103926, 123044, 20230, 33655, 30297, 107803, 104473, 23039, 30512, 113096, 103130, 56051, 31431, 126574, 21980, 248, 33121, 120175, 71289, 33420, 26274, 255, 8239, 114503, 30512, 102404, 127327, 56051, 31431, 39926, 120700, 33541, 9174, 39135, 104680, 26854, 107740, 41007, 30512, 53283, 31431, 5486, 114715, 72661, 103926, 123044, 16144, 113009, 104712, 41007, 104088, 126268, 100481, 50834, 17129, 109954, 6447, 128001, 128000, 1569, 115, 1569, 101, 119010, 104023, 102616, 33563, 105298, 101513, 97518, 15682, 5486, 28713, 81219, 51330, 83601, 104, 124623, 30046, 29295, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 96455, 29295, 103167, 16995, 117408, 102473, 113702, 109853, 36896, 102473, 15682, 107624, 95001, 114475, 107674, 102944, 126194, 5486, 83601, 104, 124623, 30046, 15682, 30358, 111571, 33208, 54926, 112997, 29220, 29295, 126574, 66383, 104970, 58655, 121256, 9174, 85701, 15682, 52591, 93488, 117718, 122412, 29295, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 30046, 33334, 57980, 27929, 46702, 66115, 27113, 17792, 30512, 104873, 103854, 28713, 102944, 16556, 5486, 99750, 108208, 30046, 122692, 83601, 104, 124623, 112919, 57106, 96455, 15682, 44597, 59983, 34617, 113127, 19732, 5486, 66776, 83601, 104, 124623, 30046, 20230, 57106, 115694, 27384, 111044, 20230, 83747, 104435, 103306, 61689, 118844, 15682, 52591, 119930, 117409, 16144, 83601, 104, 124623, 96455, 25963, 44597, 113127, 19732, 57106, 103854, 111243, 103167, 47884, 5486, 78683, 47260, 78459, 16073, 20230, 99849, 33503, 116421, 99750, 108208, 103911, 103181, 8239, 114503, 107407, 125396, 29295, 126574, 19732, 64467, 112419, 127145, 9174, 80673, 5486, 1569, 115, 1569, 101, 119010, 15682, 66224, 9080, 110371, 102473, 113702, 109853, 13177, 112185, 107624, 95001, 114475, 107674, 102944, 111769, 66383, 39926, 5486, 83601, 104, 124623, 19732, 99750, 108208, 110792, 63212, 28873, 116690, 30512, 104736, 62004, 105823, 104127, 56051, 109807, 17905, 16556, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 15682, 105324, 107246, 32648, 39276, 16144, 116436, 111694, 16556, 5486, 83601, 104, 124623, 29295, 111571, 103397, 30512, 101544, 73686, 32149, 72342, 5486, 30358, 111571, 33208, 112997, 29220, 29295, 45736, 17129, 104533, 54926, 16995, 47884, 59739, 102944, 102473, 113702, 107407, 103306, 5486, 28713, 81219, 22957, 29295, 127177, 103429, 95221, 125030, 114598, 102987, 106145, 26854, 104698, 107407, 109335, 5486, 17663, 16556, 20230, 53283, 125398, 19732, 104970, 58655, 121256, 3490, 117811, 24186, 25, 63415, 108493, 124623, 30512, 84851, 15024, 103130, 107436, 105898, 78847, 98369, 115515, 34226, 47307, 66953, 47260, 29295, 47260, 42634, 96452, 103911, 103181, 108176, 114016, 104736, 109315, 113334, 102052, 23039, 107188, 102131, 198, 16, 11, 14648, 11, 931, 17792, 52118, 8107, 56965, 198, 13897, 11, 931, 17792, 52118, 23706, 234, 198, 1041, 11, 931, 17792, 52118, 57942, 118, 114052, 198, 508, 11, 931, 17792, 52118, 37026, 108055, 198, 1114, 11, 931, 17792, 52118, 33334, 104346, 17857, 224, 198, 24, 11, 931, 17792, 52118, 108436, 105987, 198, 18, 11, 2636, 17792, 52118, 109060, 123429, 198, 18, 11, 931, 17792, 52118, 76171, 52591, 33710, 198, 16, 11, 3101, 17792, 52118, 33334, 101960, 227, 7, 2511, 16, 9953, 116771, 340, 22922, 17792, 52118, 47260, 42634, 96452, 198, 8652, 17792, 52118, 113351, 17905, 102625, 198, 22398, 78525, 39850, 66953, 78459, 52118, 605, 8107, 115274, 16556, 8107, 972, 17792, 198, 1032, 17792, 52118, 102936, 97565, 198, 17, 17792, 52118, 29220, 68759, 198, 103621, 62903, 124366, 52118, 16, 17792, 198, 106613, 111587, 105150, 100990, 119, 30512, 125119, 39926, 114604, 33503, 102433, 29504, 70821, 16144, 102717, 109416, 37087, 38144, 29295, 107202, 103496, 20230, 14309, 98, 33121, 110071, 198, 124572, 20230, 120572, 11571, 15120, 32307, 105564, 92148, 110, 76947, 47260, 42634, 96452, 29295, 113385, 16556, 2636, 32307, 17792, 102625, 112179, 19732, 119607, 198, 77693, 72661, 102433, 37087, 33014, 29295, 106613, 111587, 105150, 100990, 119, 39926, 105721, 78183, 30369, 105755, 68759, 57207, 36785, 85791, 198, 15120, 117913, 9039, 103633, 32307, 114754, 47095, 103892, 20230, 109440, 30297, 105755, 37087, 61994, 104712, 198, 108064, 32149, 15682, 104662, 64889, 21105, 103, 50834, 101668, 16995, 124324, 102189, 57980, 5486, 118146, 105068, 124324, 16556, 102321, 103350, 30512, 108056, 19732, 74245, 103984, 15024, 85791, 57980, 6447, 103188, 27479, 16144, 37026, 90397, 249, 15682, 102433, 30512, 121143, 109416, 17663, 5486, 122270, 118288, 37271, 77181, 106613, 111587, 107202, 55031, 37026, 108055, 30046, 71289, 47260, 42634, 96452, 117139, 64121, 16144, 127688, 32977, 43240, 9039, 102404, 21990, 198, 17129, 108861, 67645, 16144, 45893, 85701, 71689, 37026, 90397, 249, 106307, 107441, 32977, 29504, 70821, 29295, 108031, 37046, 110020, 16144, 48249, 98220, 16556, 104284, 124475, 71289, 109315, 108995, 29295, 26854, 198, 115320, 102456, 101275, 107328, 114181, 101426, 101275, 114950, 16144, 106613, 112167, 30046, 32977, 108703, 35330, 17129, 64121, 33121, 121993, 105184, 23187, 75293, 59739, 105755, 37026, 36668, 112535, 91875, 50834, 121406, 108995, 9174, 119539, 99959, 10110, 107391, 39850, 33710, 120732, 74482, 102052, 110677, 32977, 20834, 30369, 21909, 198, 83601, 104, 124623, 30046, 15682, 47260, 42634, 96452, 20230, 115856, 107277, 109669, 110706, 107493, 115856, 102518, 33503, 30358, 114218, 76947, 30926, 95532, 58426, 32149, 116547, 117373, 104584, 105150, 103646, 33503, 103048, 115075, 48634, 119703, 55031, 90962, 102756, 33710, 19732, 198, 15581, 117, 111694, 112990, 30358, 111571, 33208, 54926, 105184, 96455, 29295, 115442, 30369, 198, 102677, 30926, 110034, 16144, 95532, 100543, 249, 16555, 122, 21105, 103, 16995, 21105, 103, 198, 90962, 44971, 120885, 102131, 91763, 30297, 198, 109860, 15581, 117, 111694, 96455, 29295, 103167, 16995, 128001, 128000, 14711, 94632, 125581, 611, 107531, 103507, 50667, 765, 118199, 27479, 91875, 70141, 198, 827, 107637, 33122, 105888, 25333, 16144, 109790, 18904, 23226, 37656, 10110, 679, 19, 8107, 20, 9953, 16, 9080, 102923, 23039, 120732, 107963, 31634, 198, 68431, 50550, 107963, 31634, 679, 18, 8107, 23, 9953, 966, 9080, 5486, 30537, 717, 23538, 111717, 104733, 106691, 112345, 40053, 102781, 114373, 38093, 30537, 19, 18904, 38093, 104760, 121960, 13177, 111717, 104733, 106691, 112345, 40053, 102781, 114373, 38093, 107809, 105189, 118514, 33122, 105888, 25333, 23226, 37656, 109853, 16144, 122074, 10646, 29295, 126954, 15024, 5486, 23226, 37656, 59795, 33122, 105888, 25333, 15682, 5486, 679, 19, 8107, 20, 9953, 16, 9080, 105755, 102923, 23039, 107001, 103911, 23187, 103195, 1811, 36668, 26854, 23226, 37656, 44915, 15682, 5486, 79785, 71174, 33122, 105888, 16144, 106839, 17701, 112160, 33122, 105888, 43240, 24775, 17620, 20834, 112622, 114305, 16144, 106839, 17701, 5486, 117859, 112984, 9458, 117859, 22649, 117232, 31958, 105184, 33208, 5486, 108901, 104760, 102782, 80195, 114305, 16144, 23226, 37656, 10110, 108901, 104760, 102782, 80195, 16144, 36668, 33014, 127253, 109311, 32018, 114667, 16144, 119379, 50667, 65459, 33122, 105888, 112607, 117976, 104698, 23039, 101399, 16144, 16906, 111, 15581, 108, 33208, 50667, 103195, 9174, 68431, 50550, 116718, 127253, 104650, 37689, 28542, 198, 11144, 116718, 112479, 22656, 83932, 77181, 5486, 679, 19, 8107, 9953, 20, 9953, 16, 117816, 102923, 23039, 107001, 59795, 16144, 23226, 37656, 33122, 105888, 25333, 109853, 5486, 105572, 26854, 23226, 37656, 44915, 30512, 126362, 54926, 9174, 7, 16, 8, 84410, 105888, 20834, 112622, 107707, 102924, 112904, 30512, 111629, 30369, 124122, 23226, 37656, 198, 1998, 8, 119399, 71174, 33122, 105888, 16144, 106839, 17701, 10110, 30537, 23, 40089, 123407, 33122, 105888, 125104, 114475, 105784, 105908, 108608, 104091, 104770, 103306, 79785, 71174, 29295, 17039, 28713, 20230, 116155, 103646, 9174, 31834, 8, 101961, 20834, 112622, 43240, 24775, 17620, 114305, 16144, 106839, 17701, 10110, 30537, 1313, 40089, 123407, 15120, 20834, 112622, 43240, 24775, 17620, 114305, 29295, 106839, 17701, 84389, 5486, 33122, 105888, 125104, 20834, 112622, 116537, 112160, 118821, 102782, 109311, 121960, 43240, 9039, 16144, 24775, 17620, 109853, 42016, 15120, 16144, 33122, 105888, 20834, 112622, 123410, 105908, 108608, 101200, 110276, 9174, 1998, 3893, 8, 49854, 102, 112984, 9458, 117859, 22649, 23538, 48249, 16144, 106045, 23187, 10110, 30537, 1591, 40089, 5486, 30537, 1958, 21909, 1758, 40089, 5486, 30537, 2096, 21909, 1774, 40089, 5486, 30537, 2491, 40089, 5486, 30537, 4370, 40089, 123407, 23226, 37656, 25333, 77181, 5486, 85707, 107436, 33122, 105888, 117859, 112984, 127253, 33122, 105888, 81742, 14558, 16144, 117859, 22649, 23538, 48249, 109853, 23187, 62004, 102204, 5486, 117859, 112984, 9458, 117859, 22649, 117232, 16144, 106649, 123332, 29295, 125494, 107001, 1811, 118789, 9554, 102052, 5486, 117859, 112984, 23538, 48249, 15682, 24, 2845, 113, 9953, 5486, 117859, 22649, 23538, 48249, 15682, 5486, 51450, 117859, 106053, 9458, 43568, 126120, 117859, 106053, 15682, 717, 32149, 9953, 5486, 43568, 126120, 107322, 58655, 113115, 54926, 117633, 117859, 16144, 117859, 22649, 15682, 24, 2845, 113, 9953, 5486, 122270, 5486, 119389, 26854, 127749, 122291, 126513, 18, 2845, 113, 9953, 102420, 15682, 21, 2845, 113, 9953, 109337, 101544, 108608, 101200, 108176, 118855, 5486, 33122, 105888, 117859, 106053, 114373, 38093, 111848, 16937, 44309, 117859, 106053, 81742, 14558, 16144, 117859, 22649, 121960, 5486, 97518, 89046, 54926, 61826, 23039, 112607, 60632, 16144, 105184, 23187, 109853, 114940, 106053, 32938, 16144, 117859, 22649, 16325, 16144, 81742, 14558, 102420, 15682, 107338, 101513, 97518, 16144, 117120, 22649, 16325, 16144, 81742, 14558, 16144, 113702, 30512, 102831, 26955, 254, 117408, 127749, 32977, 65854, 114181, 112535, 78698, 101557, 106, 56051, 17905, 16556, 5486, 81742, 14558, 117859, 22649, 30512, 16325, 82533, 54926, 105908, 108608, 115789, 106045, 23187, 56051, 9174, 72814, 8, 49854, 102, 112984, 46034, 106307, 16144, 23226, 106594, 10110, 30537, 1682, 40089, 123407, 23226, 37656, 25333, 77181, 36896, 117859, 112984, 103188, 39607, 121960, 5486, 33122, 105888, 91077, 29295, 33122, 105888, 125104, 20834, 112622, 44915, 109853, 122984, 102420, 15682, 111983, 37656, 54926, 109215, 107407, 19732, 122225, 56051, 107803, 5486, 20834, 112622, 17792, 20230, 122984, 102420, 15682, 111983, 37656, 30512, 105318, 54926, 105908, 108608, 66383, 106045, 23187, 84389, 5486, 20834, 112622, 107707, 37689, 91774, 30512, 36735, 112, 18655, 54926, 114305, 29295, 106839, 17701, 103646, 9174, 3832, 8, 107929, 108, 104760, 102782, 80195, 114305, 16144, 23226, 37656, 10110, 30537, 1644, 40089, 21909, 1958, 40089, 123407, 23226, 37656, 25580, 33122, 105888, 25333, 16144, 106045, 23187, 103732, 104984, 5486, 108901, 104760, 102782, 80195, 16144, 102782, 80195, 15682, 13177, 99849, 17792, 32977, 10646, 23039, 30297, 105908, 103082, 5486, 108901, 104760, 102782, 80195, 16144, 114667, 109853, 32977, 119379, 29295, 104435, 29295, 115515, 18904, 16144, 23226, 37656, 113468, 108901, 104760, 102782, 80195, 107707, 103087, 35083, 127253, 108901, 104760, 102782, 80195, 114667, 20230, 111419, 16144, 44416, 48249, 29295, 111681, 107001, 100909, 110276, 1811, 118789, 9554, 102052, 5486, 108901, 104760, 102782, 80195, 116537, 5486, 30537, 605, 21909, 717, 40089, 108010, 95543, 16144, 126513, 99849, 17792, 72661, 5486, 30537, 1032, 40089, 30537, 17, 21909, 18, 105904, 5486, 30537, 868, 40089, 5486, 30537, 845, 40089, 30537, 16, 105904, 5486, 30537, 966, 21909, 843, 40089, 108010, 95543, 30512, 114667, 117408, 126513, 58426, 61826, 23039, 112607, 60632, 30046, 102420, 15682, 60632, 104698, 116690, 114754, 108901, 104760, 102782, 80195, 117824, 30297, 105908, 108608, 102944, 19732, 31958, 61304, 103646, 118855, 5486, 33122, 105888, 117859, 106053, 34048, 16144, 108901, 104760, 102782, 80195, 20230, 108826, 30369, 122074, 20230, 16937, 44309, 107407, 32149, 114392, 26854, 114667, 71289, 110322, 26955, 254 ]
[ 107407, 108901, 104760, 102782, 80195, 116537, 5486, 40265, 109638, 33122, 105888, 16144, 43568, 126120, 107322, 58655, 30512, 109311, 32018, 54926, 105908, 103082, 104533, 16144, 106045, 23187, 32977, 116155, 103646, 9174, 7, 17, 8, 103964, 50211, 114300, 106106, 111848, 117903, 14191, 102, 33144, 30512, 109205, 69978, 54926, 124122, 23226, 37656, 198, 1998, 8, 104694, 111, 13372, 33122, 105888, 109853, 16144, 23226, 37656, 10110, 30537, 975, 40089, 5486, 30537, 4331, 40089, 123407, 46065, 111, 13372, 33122, 105888, 15682, 15308, 226, 125216, 25666, 18476, 126194, 112424, 126067, 103195, 110115, 115847, 103296, 112160, 34048, 16144, 114435, 113468, 5486, 122626, 113096, 103130, 16144, 124122, 35330, 52030, 88631, 103306, 13177, 46065, 111, 13372, 33122, 105888, 10646, 47043, 20230, 61304, 107121, 54926, 113009, 46065, 111, 13372, 33122, 105888, 29295, 107740, 103646, 31431, 112160, 34048, 106848, 105212, 111848, 46065, 111, 13372, 33122, 105888, 115181, 114435, 111363, 28194, 101, 119680, 35330, 16144, 113009, 49691, 121, 67178, 110322, 26955, 254, 126694, 76947, 46065, 111, 13372, 33122, 105888, 30512, 50928, 30369, 50667, 16144, 23039, 101399, 29295, 23039, 123671, 101732, 113637, 105933, 127749, 30512, 21043, 37656, 54926, 103846, 5486, 23226, 37656, 25333, 77181, 36896, 46065, 111, 13372, 33122, 105888, 15682, 5486, 40265, 30926, 112919, 109311, 32018, 112212, 5486, 33122, 105888, 81742, 14558, 121960, 104736, 23187, 54926, 109215, 107407, 30926, 103350, 103306, 104736, 23187, 21105, 103, 118145, 105110, 100604, 66383, 16144, 31958, 105184, 26854, 106045, 23187, 112212, 13177, 102159, 103283, 104736, 23187, 5486, 101682, 91875, 104736, 23187, 117503, 53229, 108630, 29295, 31958, 33503, 111201, 84389, 5486, 46065, 111, 13372, 33122, 105888, 19732, 104736, 23187, 103646, 33122, 105888, 127303, 114598, 5486, 21990, 106518, 9458, 106613, 112167, 30046, 29295, 47043, 9458, 47043, 68379, 99741, 102420, 15682, 37729, 32648, 5486, 108285, 58655, 107322, 108044, 9458, 77413, 111182, 127253, 114950, 16144, 33122, 101275, 112415, 121960, 124620, 46065, 111, 13372, 33122, 105888, 36761, 16144, 52563, 30512, 38129, 54926, 106592, 124260, 54926, 106045, 23187, 32977, 116155, 103646, 1811, 122270, 5486, 46065, 111, 13372, 33122, 105888, 30512, 107322, 108044, 20230, 38129, 56051, 107803, 109853, 5486, 605, 92555, 10110, 103664, 6330, 110743, 120732, 15581, 108, 35330, 29295, 111681, 107001, 6079, 101, 16144, 15581, 108, 108630, 106045, 23187, 32977, 116155, 110731, 9174, 53900, 5486, 23226, 37656, 25333, 77181, 46065, 111, 13372, 33122, 105888, 104736, 23187, 16144, 46034, 106307, 19732, 101513, 97518, 30512, 31958, 105184, 33208, 54926, 17161, 78244, 29295, 116155, 84389, 5486, 40265, 30926, 30046, 29295, 46065, 111, 13372, 33122, 105888, 16144, 112607, 60632, 30512, 36668, 105714, 56051, 107803, 5486, 33122, 105888, 125104, 16144, 117859, 112984, 127253, 49792, 33122, 107338, 40452, 34048, 103722, 16144, 33122, 105888, 81742, 14558, 10110, 109790, 30046, 108901, 104760, 71289, 107338, 16144, 33122, 105888, 112607, 117976, 104698, 7705, 121960, 15682, 33122, 105888, 91077, 5486, 88356, 117859, 109311, 32018, 50667, 121960, 15682, 33122, 105888, 117859, 106053, 34048, 5486, 33122, 105888, 70821, 30926, 5486, 107338, 81742, 14558, 16144, 126014, 29245, 253, 121960, 15682, 5486, 111575, 114940, 106053, 32938, 113468, 109823, 103646, 114940, 106053, 32938, 29295, 46065, 111, 13372, 16144, 127749, 109853, 104736, 23187, 117824, 30297, 105908, 108608, 100909, 19732, 110731, 9174, 31834, 8, 69839, 240, 104736, 20834, 112622, 103359, 105226, 16144, 104195, 33208, 10110, 30537, 868, 40089, 123407, 110382, 9039, 8107, 5486, 121101, 29172, 120988, 16144, 107253, 104874, 102420, 15682, 121101, 29172, 120988, 121960, 5486, 43511, 107707, 33122, 105888, 29295, 61826, 20230, 38129, 103646, 106592, 53283, 100472, 17905, 16556, 112798, 104736, 20834, 112622, 54926, 23039, 101399, 29295, 118430, 102404, 107113, 29295, 5486, 117859, 22649, 121960, 31958, 105184, 20230, 113551, 102420, 15682, 106691, 116690, 20230, 100604, 81742, 14558, 20230, 126543, 108608, 31958, 105184, 26854, 112424, 40089, 17161, 29295, 104435, 113637, 105933, 127749, 20230, 124140, 64121, 115515, 18904, 16144, 23226, 37656, 25333, 113468, 13177, 121101, 29172, 120988, 102420, 15682, 127177, 116690, 113468, 5486, 43511, 107707, 33122, 105888, 29295, 61826, 20230, 38129, 110731, 106592, 31958, 33503, 111201, 53283, 100472, 17905, 113245, 112798, 104736, 20834, 112622, 54926, 106592, 124260, 54926, 66383, 95604, 106045, 23187, 29295, 116155, 110731, 9174, 1998, 3893, 8, 80019, 28713, 26854, 16937, 37656, 114300, 106106, 23039, 101399, 16144, 116155, 10110, 30537, 2970, 40089, 123407, 33122, 105888, 19732, 114435, 33122, 18476, 16144, 127852, 104584, 109853, 5486, 23226, 37656, 25333, 77181, 36896, 43511, 107707, 125104, 33122, 105888, 5486, 39442, 125104, 16144, 46065, 111, 13372, 33122, 105888, 30512, 114435, 31091, 20230, 33122, 18476, 103306, 38129, 15024, 5486, 35417, 123378, 30512, 125144, 104736, 124545, 10646, 23039, 101399, 32977, 16937, 37656, 114300, 106106, 20230, 109638, 40265, 112990, 106045, 23187, 84389, 5486, 16937, 37656, 114300, 106106, 103181, 82533, 25333, 112212, 124260, 107001, 105908, 31958, 105184, 33208, 103646, 9174, 72814, 8, 120616, 38129, 33122, 105888, 16144, 123050, 10110, 30537, 2946, 40089, 123407, 23226, 37656, 25333, 121960, 5486, 106594, 37689, 111848, 61826, 38129, 33122, 105888, 16144, 123050, 16144, 103846, 36896, 33122, 105888, 112607, 30046, 29295, 58426, 125104, 33122, 105888, 30512, 20834, 112622, 54926, 112772, 5486, 43511, 114754, 42016, 15120, 102420, 15682, 104770, 104409, 16144, 47043, 109853, 33122, 105888, 112607, 30046, 105755, 61826, 20230, 125104, 33122, 105888, 19732, 42016, 15120, 102420, 15682, 104770, 104409, 16144, 33122, 105888, 30512, 38129, 15024, 5486, 103786, 59739, 111419, 16144, 117375, 123457, 19361, 54926, 101200, 110276, 107803, 20230, 5486, 125104, 33122, 105888, 16144, 33122, 105888, 112607, 30046, 15682, 5486, 40265, 109638, 43511, 107707, 24186, 16144, 38129, 119318, 116310, 121960, 40265, 109638, 61826, 38129, 33122, 105888, 16144, 38129, 30512, 124260, 54926, 112607, 60632, 30512, 19361, 21105, 103, 16995, 1811, 90620, 15024, 5486, 24775, 103283, 31634, 72238, 16144, 116155, 30512, 109431, 112904, 20230, 105318, 54926, 105908, 108608, 66383, 16144, 106045, 23187, 29295, 116155, 103646, 9174, 7, 18, 8, 84410, 105888, 112607, 30512, 123050, 54926, 124122, 23226, 37656, 198, 1998, 8, 80019, 28713, 26854, 33122, 105888, 112607, 117976, 104698, 23039, 101399, 16144, 106045, 23187, 10110, 30537, 3226, 40089, 123407, 23226, 37656, 25333, 121960, 15682, 36896, 43511, 107707, 125104, 33122, 105888, 112607, 30512, 117976, 104698, 54926, 23039, 101399, 16144, 113009, 5486, 104604, 37689, 20230, 102924, 112904, 30512, 111629, 31431, 5486, 33122, 105888, 112607, 117976, 104698, 16144, 103350, 102923, 20230, 108975, 48634, 54926, 10646, 23039, 101399, 29295, 33122, 105888, 112607, 117976, 104698, 16144, 23039, 101399, 16144, 104091, 104770, 112028, 59739, 103306, 21601, 58942, 109115, 118844, 113468, 5486, 109467, 102052, 43511, 107707, 33122, 105888, 112607, 30512, 117976, 104698, 54926, 23039, 101399, 30512, 103350, 102923, 109768, 100604, 102944, 16144, 5486, 43511, 107707, 33122, 105888, 112607, 30512, 117976, 104698, 54926, 23039, 101399, 20230, 124080, 5486, 108975, 48634, 103792, 114435, 102420, 15682, 121568, 20230, 50021, 106608, 16144, 113160, 49988, 30512, 109972, 110027, 30369, 100909, 110276, 9174, 31834, 8, 69839, 235, 109373, 111363, 117120, 15581, 108, 16144, 104195, 33208, 10110, 30537, 1399, 40089, 123407, 33122, 105888, 112607, 117976, 104698, 16144, 88356, 109373, 109853, 5486, 16906, 111, 15581, 108, 20230, 117120, 54926, 13177, 20, 8107, 23897, 32943, 20230, 33122, 105888, 112607, 117976, 104698, 20230, 40265, 28713, 30369, 23039, 101399, 29295, 17, 18904, 71689, 101182, 32149, 5486, 102420, 15682, 114950, 16144, 102987, 106145, 26854, 40474, 103397, 107407, 107803, 102052, 5486, 16906, 111, 15581, 108, 20230, 117120, 54926, 66383, 95604, 106045, 23187, 30512, 21601, 107800, 9174, 1998, 3893, 8, 6704, 229, 110, 15581, 108, 106045, 23187, 16144, 23226, 37656, 10110, 30537, 5495, 40089, 123407, 23226, 37656, 25333, 121960, 15682, 5486, 109161, 37689, 112212, 33122, 105888, 112607, 30512, 117976, 104698, 15024, 106116, 40474, 103397, 29295, 102987, 106145, 26854, 107803, 102052, 5486, 112607, 60632, 30046, 29295, 117976, 104698, 112212, 101682, 107674, 103350, 104983, 16144, 125173, 21388, 5486, 117976, 104698, 30046, 29295, 117976, 104698, 112212, 50928, 28713, 60632, 105576, 5486, 125104, 33122, 105888, 16144, 38129, 110008, 125310, 106382, 11883, 16144, 16, 98406, 71689, 18, 98406, 88852, 16144, 119318, 116310, 16556, 83812, 254, 101268, 253, 109518, 30512, 105184, 23187, 54926, 105908, 108608, 100909, 119012, 1811, 17905, 61304, 18, 118821, 102831, 26955, 254, 113468, 83812, 254, 101268, 253, 109518, 30512, 105184, 23187, 54926, 105908, 110482, 111108, 26854, 107803, 102052, 5486, 114940, 106053, 32938, 15682, 109431, 112904, 20230, 25333, 23187, 83812, 254, 101268, 253, 109518, 30512, 122074, 54926, 105908, 103082, 5486, 25333, 23187, 83812, 254, 101268, 253, 109518, 109853, 32977, 23226, 37656, 123628, 1135, 92555, 55031, 3101, 92555, 103296, 113801, 109415, 110071, 9174, 122270, 5486, 112607, 60632, 30046, 29295, 123680, 110322, 20230, 107542, 48634, 56051, 29295, 117976, 104698, 23039, 101399, 114556, 78183, 30369, 13821, 111, 107218, 123, 5486, 109544, 30512, 36668, 20230, 117976, 104698, 30046, 29295, 102178, 111665, 103792, 107803, 20230, 5486, 114940, 106053, 32938, 29295, 117976, 104698, 30046, 114556, 89046, 13821, 111, 107218, 123, 5486, 109544, 16144, 104908, 30512, 51609, 100204, 30369, 105908, 108608, 100909, 121711, 5486, 117976, 104698, 30046, 29295, 58426, 104908, 30512, 120853, 33476, 54926, 32149, 49691, 121, 67178, 16144, 13821, 111, 107218, 123, 5486, 109544, 30512, 104908, 56051, 126513, 5486, 112607, 60632, 112919, 36668, 105714, 127253, 118664, 110322, 26955, 254, 30512, 121846, 116446, 5486, 125173, 104698, 83812, 254, 101268, 253, 109518, 30512, 105184, 23187, 54926, 105908, 103082, 104533, 106045, 23187, 116216, 108086, 5486, 112607, 60632, 112919, 123680, 110322, 109972, 106529, 29295, 117355, 114485, 110731, 9174, 72814, 8, 84410, 105888, 112607, 112919, 83812, 254, 101268, 253, 105318, 39177, 122692, 38129, 104577, 102781, 16144, 106045, 23187, 16144, 17039, 102332, 10110, 30537, 1227, 40089, 123407, 23226, 37656, 25333, 77181, 5486, 112607, 60632, 30046, 29295, 83812, 254, 101268, 253, 30512, 105318, 54926, 125344, 38129, 104577, 102781, 114556, 39926, 36896, 117976, 104698, 30512, 126014, 58942, 109115, 40265, 30926, 30046, 29295, 5486, 125104, 33122, 105888, 112607, 30046, 29295, 125104, 33122, 105888, 30512, 38129, 109768, 100604, 102677, 108324, 13870, 223, 30512, 36668, 105714, 56051, 107803, 5486, 114940, 106053, 32938, 15682, 5486, 125104, 33122, 105888, 112607, 30046, 20230, 58426, 25580, 18, 8107, 56965, 122692, 125104, 33122, 105888, 16144, 103350, 104983, 38129, 110322, 26955, 254, 16144, 118664, 30512, 105318, 54926, 105908, 108608, 1811, 125104, 33122, 105888, 112607, 30046, 15682, 106116, 25580, 18, 8107, 122756, 40265, 109638, 125104, 33122, 105888, 30512, 38129, 56051, 100909, 5486, 102420, 15682, 5486, 117976, 104698, 23039, 101399, 112212, 114950, 16144, 125173, 21388, 30512, 101307, 100472, 106592, 110322, 31958, 118765, 107803, 102052, 5486, 117976, 104698, 30512, 126014, 58942, 109115, 40265, 30926, 30046, 15682, 83812, 254, 101268, 253, 16144, 113160, 49988, 30512, 109972, 78183, 100604, 66383, 106045, 23187, 103792, 9174, 17905, 61304, 16556, 126362, 56051, 44915, 16144, 102717, 32149, 5486, 120115, 20834, 112622, 16144, 106839, 17701, 10110, 30537, 1313, 40089, 65459, 33122, 105888, 113551, 101513, 106391, 16144, 40452, 104195, 33208, 10110, 30537, 777, 40089, 5486, 30537, 2614, 40089, 7705, 50667, 16144, 23226, 37656, 32977, 23039, 78183, 115032, 9174, 11144, 104650, 37689, 28542, 112479, 37271, 18904, 16144, 23226, 37656, 113468, 13177, 43511, 107707, 125104, 33122, 105888, 5486, 39442, 125104, 16144, 46065, 111, 13372, 33122, 105888, 30512, 114435, 31091, 20230, 33122, 18476, 103306, 38129, 15024, 5486, 35417, 123378, 30512, 125144, 104736, 124545, 10646, 23039, 101399, 29295, 16937, 37656, 114300, 106106, 20230, 109638, 40265, 112990, 106045, 23187, 103646, 29295, 5486, 43511, 107707, 102700, 13372, 26854, 33122, 18476, 30512, 33122, 105888, 103306, 125104, 54926, 100909, 109853, 15682, 37271, 18904, 16144, 23226, 37656, 81742, 77181, 78244, 82317, 116216, 33334, 121140, 5486, 102700, 13372, 16556, 106063, 109832, 109904, 114435, 33122, 18476, 109853, 15682, 5486, 114435, 29295, 33122, 105888, 103306, 125104, 54926, 118733, 123050, 54926, 105908, 109215, 103195, 1811, 126738, 5486, 30537, 843, 40089, 20230, 106045, 23187, 16144, 13177, 61826, 23039, 112607, 60632, 10646, 20230, 75146, 109669, 50834, 61826, 23039, 33122, 18476, 112607, 16144, 123050, 30512, 32018, 109315, 115789, 108608, 9174, 37271, 18904, 16144, 23226, 37656, 113468, 38129, 104577, 102781, 16144, 106045, 23187, 29295, 17039, 102332, 103646, 100909, 55031, 5486, 33122, 105888, 112607, 30046, 15682, 33122, 105888, 16144, 103350, 104983, 16144, 38129, 121960, 33122, 105888, 16144, 38129, 110322, 26955, 254, 30512, 27384, 102769, 20230, 47585, 15024, 5486, 91482, 76428, 102750, 117718, 18655, 73686, 17161, 102181, 105352, 103350, 104983, 20230, 38129, 56051, 33122, 105888, 30512, 61304, 107121, 39926, 33334, 126145, 126521, 9174, 22656, 83932, 19967, 13153, 39177, 121960, 5486, 33122, 105888, 107338, 40452, 91077, 15682, 33122, 105888, 25333, 103350, 102923, 40089, 27452, 16144, 23226, 37656, 20230, 100815, 46034, 126020, 5486, 42016, 40089, 27452, 121960, 5486, 79785, 71174, 33122, 105888, 16144, 20834, 112622, 31634, 14558, 112160, 20834, 112622, 43240, 24775, 17620, 16144, 106382, 11883, 123782, 19732, 33122, 105888, 117859, 112984, 23226, 37656, 46034, 106307, 16144, 118789, 109904, 41007, 29295, 31958, 105184, 20230, 106045, 23187, 107001, 105908, 75293, 28713, 104028, 9174, 68431, 50550, 102741, 61398, 9458, 23226, 37656, 33122, 105888, 25333, 198, 68431, 50550, 22656, 17161, 102181, 16144, 19967, 13153, 30046, 70090, 102138, 104067, 127710, 53283, 109375, 106518, 112607, 113551, 123357, 32938, 198, 68431, 50550, 108975, 48634, 108936, 112686, 108638, 122491, 125261, 25333, 102473, 120690, 87109, 105635, 89151, 108068, 128001, 128000, 567, 78507, 228, 104760, 94923, 38093, 104760, 108565, 108134, 51431, 20713, 60596, 60596, 18904, 29504, 38093, 104351, 248, 21990, 8239, 112, 122502, 114373, 38093, 51431, 25963, 25963, 18476, 198, 2, 16, 30537, 20713, 60596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 107407, 108901, 104760, 102782, 80195, 116537, 5486, 40265, 109638, 33122, 105888, 16144, 43568, 126120, 107322, 58655, 30512, 109311, 32018, 54926, 105908, 103082, 104533, 16144, 106045, 23187, 32977, 116155, 103646, 9174, 7, 17, 8, 103964, 50211, 114300, 106106, 111848, 117903, 14191, 102, 33144, 30512, 109205, 69978, 54926, 124122, 23226, 37656, 198, 1998, 8, 104694, 111, 13372, 33122, 105888, 109853, 16144, 23226, 37656, 10110, 30537, 975, 40089, 5486, 30537, 4331, 40089, 123407, 46065, 111, 13372, 33122, 105888, 15682, 15308, 226, 125216, 25666, 18476, 126194, 112424, 126067, 103195, 110115, 115847, 103296, 112160, 34048, 16144, 114435, 113468, 5486, 122626, 113096, 103130, 16144, 124122, 35330, 52030, 88631, 103306, 13177, 46065, 111, 13372, 33122, 105888, 10646, 47043, 20230, 61304, 107121, 54926, 113009, 46065, 111, 13372, 33122, 105888, 29295, 107740, 103646, 31431, 112160, 34048, 106848, 105212, 111848, 46065, 111, 13372, 33122, 105888, 115181, 114435, 111363, 28194, 101, 119680, 35330, 16144, 113009, 49691, 121, 67178, 110322, 26955, 254, 126694, 76947, 46065, 111, 13372, 33122, 105888, 30512, 50928, 30369, 50667, 16144, 23039, 101399, 29295, 23039, 123671, 101732, 113637, 105933, 127749, 30512, 21043, 37656, 54926, 103846, 5486, 23226, 37656, 25333, 77181, 36896, 46065, 111, 13372, 33122, 105888, 15682, 5486, 40265, 30926, 112919, 109311, 32018, 112212, 5486, 33122, 105888, 81742, 14558, 121960, 104736, 23187, 54926, 109215, 107407, 30926, 103350, 103306, 104736, 23187, 21105, 103, 118145, 105110, 100604, 66383, 16144, 31958, 105184, 26854, 106045, 23187, 112212, 13177, 102159, 103283, 104736, 23187, 5486, 101682, 91875, 104736, 23187, 117503, 53229, 108630, 29295, 31958, 33503, 111201, 84389, 5486, 46065, 111, 13372, 33122, 105888, 19732, 104736, 23187, 103646, 33122, 105888, 127303, 114598, 5486, 21990, 106518, 9458, 106613, 112167, 30046, 29295, 47043, 9458, 47043, 68379, 99741, 102420, 15682, 37729, 32648, 5486, 108285, 58655, 107322, 108044, 9458, 77413, 111182, 127253, 114950, 16144, 33122, 101275, 112415, 121960, 124620, 46065, 111, 13372, 33122, 105888, 36761, 16144, 52563, 30512, 38129, 54926, 106592, 124260, 54926, 106045, 23187, 32977, 116155, 103646, 1811, 122270, 5486, 46065, 111, 13372, 33122, 105888, 30512, 107322, 108044, 20230, 38129, 56051, 107803, 109853, 5486, 605, 92555, 10110, 103664, 6330, 110743, 120732, 15581, 108, 35330, 29295, 111681, 107001, 6079, 101, 16144, 15581, 108, 108630, 106045, 23187, 32977, 116155, 110731, 9174, 53900, 5486, 23226, 37656, 25333, 77181, 46065, 111, 13372, 33122, 105888, 104736, 23187, 16144, 46034, 106307, 19732, 101513, 97518, 30512, 31958, 105184, 33208, 54926, 17161, 78244, 29295, 116155, 84389, 5486, 40265, 30926, 30046, 29295, 46065, 111, 13372, 33122, 105888, 16144, 112607, 60632, 30512, 36668, 105714, 56051, 107803, 5486, 33122, 105888, 125104, 16144, 117859, 112984, 127253, 49792, 33122, 107338, 40452, 34048, 103722, 16144, 33122, 105888, 81742, 14558, 10110, 109790, 30046, 108901, 104760, 71289, 107338, 16144, 33122, 105888, 112607, 117976, 104698, 7705, 121960, 15682, 33122, 105888, 91077, 5486, 88356, 117859, 109311, 32018, 50667, 121960, 15682, 33122, 105888, 117859, 106053, 34048, 5486, 33122, 105888, 70821, 30926, 5486, 107338, 81742, 14558, 16144, 126014, 29245, 253, 121960, 15682, 5486, 111575, 114940, 106053, 32938, 113468, 109823, 103646, 114940, 106053, 32938, 29295, 46065, 111, 13372, 16144, 127749, 109853, 104736, 23187, 117824, 30297, 105908, 108608, 100909, 19732, 110731, 9174, 31834, 8, 69839, 240, 104736, 20834, 112622, 103359, 105226, 16144, 104195, 33208, 10110, 30537, 868, 40089, 123407, 110382, 9039, 8107, 5486, 121101, 29172, 120988, 16144, 107253, 104874, 102420, 15682, 121101, 29172, 120988, 121960, 5486, 43511, 107707, 33122, 105888, 29295, 61826, 20230, 38129, 103646, 106592, 53283, 100472, 17905, 16556, 112798, 104736, 20834, 112622, 54926, 23039, 101399, 29295, 118430, 102404, 107113, 29295, 5486, 117859, 22649, 121960, 31958, 105184, 20230, 113551, 102420, 15682, 106691, 116690, 20230, 100604, 81742, 14558, 20230, 126543, 108608, 31958, 105184, 26854, 112424, 40089, 17161, 29295, 104435, 113637, 105933, 127749, 20230, 124140, 64121, 115515, 18904, 16144, 23226, 37656, 25333, 113468, 13177, 121101, 29172, 120988, 102420, 15682, 127177, 116690, 113468, 5486, 43511, 107707, 33122, 105888, 29295, 61826, 20230, 38129, 110731, 106592, 31958, 33503, 111201, 53283, 100472, 17905, 113245, 112798, 104736, 20834, 112622, 54926, 106592, 124260, 54926, 66383, 95604, 106045, 23187, 29295, 116155, 110731, 9174, 1998, 3893, 8, 80019, 28713, 26854, 16937, 37656, 114300, 106106, 23039, 101399, 16144, 116155, 10110, 30537, 2970, 40089, 123407, 33122, 105888, 19732, 114435, 33122, 18476, 16144, 127852, 104584, 109853, 5486, 23226, 37656, 25333, 77181, 36896, 43511, 107707, 125104, 33122, 105888, 5486, 39442, 125104, 16144, 46065, 111, 13372, 33122, 105888, 30512, 114435, 31091, 20230, 33122, 18476, 103306, 38129, 15024, 5486, 35417, 123378, 30512, 125144, 104736, 124545, 10646, 23039, 101399, 32977, 16937, 37656, 114300, 106106, 20230, 109638, 40265, 112990, 106045, 23187, 84389, 5486, 16937, 37656, 114300, 106106, 103181, 82533, 25333, 112212, 124260, 107001, 105908, 31958, 105184, 33208, 103646, 9174, 72814, 8, 120616, 38129, 33122, 105888, 16144, 123050, 10110, 30537, 2946, 40089, 123407, 23226, 37656, 25333, 121960, 5486, 106594, 37689, 111848, 61826, 38129, 33122, 105888, 16144, 123050, 16144, 103846, 36896, 33122, 105888, 112607, 30046, 29295, 58426, 125104, 33122, 105888, 30512, 20834, 112622, 54926, 112772, 5486, 43511, 114754, 42016, 15120, 102420, 15682, 104770, 104409, 16144, 47043, 109853, 33122, 105888, 112607, 30046, 105755, 61826, 20230, 125104, 33122, 105888, 19732, 42016, 15120, 102420, 15682, 104770, 104409, 16144, 33122, 105888, 30512, 38129, 15024, 5486, 103786, 59739, 111419, 16144, 117375, 123457, 19361, 54926, 101200, 110276, 107803, 20230, 5486, 125104, 33122, 105888, 16144, 33122, 105888, 112607, 30046, 15682, 5486, 40265, 109638, 43511, 107707, 24186, 16144, 38129, 119318, 116310, 121960, 40265, 109638, 61826, 38129, 33122, 105888, 16144, 38129, 30512, 124260, 54926, 112607, 60632, 30512, 19361, 21105, 103, 16995, 1811, 90620, 15024, 5486, 24775, 103283, 31634, 72238, 16144, 116155, 30512, 109431, 112904, 20230, 105318, 54926, 105908, 108608, 66383, 16144, 106045, 23187, 29295, 116155, 103646, 9174, 7, 18, 8, 84410, 105888, 112607, 30512, 123050, 54926, 124122, 23226, 37656, 198, 1998, 8, 80019, 28713, 26854, 33122, 105888, 112607, 117976, 104698, 23039, 101399, 16144, 106045, 23187, 10110, 30537, 3226, 40089, 123407, 23226, 37656, 25333, 121960, 15682, 36896, 43511, 107707, 125104, 33122, 105888, 112607, 30512, 117976, 104698, 54926, 23039, 101399, 16144, 113009, 5486, 104604, 37689, 20230, 102924, 112904, 30512, 111629, 31431, 5486, 33122, 105888, 112607, 117976, 104698, 16144, 103350, 102923, 20230, 108975, 48634, 54926, 10646, 23039, 101399, 29295, 33122, 105888, 112607, 117976, 104698, 16144, 23039, 101399, 16144, 104091, 104770, 112028, 59739, 103306, 21601, 58942, 109115, 118844, 113468, 5486, 109467, 102052, 43511, 107707, 33122, 105888, 112607, 30512, 117976, 104698, 54926, 23039, 101399, 30512, 103350, 102923, 109768, 100604, 102944, 16144, 5486, 43511, 107707, 33122, 105888, 112607, 30512, 117976, 104698, 54926, 23039, 101399, 20230, 124080, 5486, 108975, 48634, 103792, 114435, 102420, 15682, 121568, 20230, 50021, 106608, 16144, 113160, 49988, 30512, 109972, 110027, 30369, 100909, 110276, 9174, 31834, 8, 69839, 235, 109373, 111363, 117120, 15581, 108, 16144, 104195, 33208, 10110, 30537, 1399, 40089, 123407, 33122, 105888, 112607, 117976, 104698, 16144, 88356, 109373, 109853, 5486, 16906, 111, 15581, 108, 20230, 117120, 54926, 13177, 20, 8107, 23897, 32943, 20230, 33122, 105888, 112607, 117976, 104698, 20230, 40265, 28713, 30369, 23039, 101399, 29295, 17, 18904, 71689, 101182, 32149, 5486, 102420, 15682, 114950, 16144, 102987, 106145, 26854, 40474, 103397, 107407, 107803, 102052, 5486, 16906, 111, 15581, 108, 20230, 117120, 54926, 66383, 95604, 106045, 23187, 30512, 21601, 107800, 9174, 1998, 3893, 8, 6704, 229, 110, 15581, 108, 106045, 23187, 16144, 23226, 37656, 10110, 30537, 5495, 40089, 123407, 23226, 37656, 25333, 121960, 15682, 5486, 109161, 37689, 112212, 33122, 105888, 112607, 30512, 117976, 104698, 15024, 106116, 40474, 103397, 29295, 102987, 106145, 26854, 107803, 102052, 5486, 112607, 60632, 30046, 29295, 117976, 104698, 112212, 101682, 107674, 103350, 104983, 16144, 125173, 21388, 5486, 117976, 104698, 30046, 29295, 117976, 104698, 112212, 50928, 28713, 60632, 105576, 5486, 125104, 33122, 105888, 16144, 38129, 110008, 125310, 106382, 11883, 16144, 16, 98406, 71689, 18, 98406, 88852, 16144, 119318, 116310, 16556, 83812, 254, 101268, 253, 109518, 30512, 105184, 23187, 54926, 105908, 108608, 100909, 119012, 1811, 17905, 61304, 18, 118821, 102831, 26955, 254, 113468, 83812, 254, 101268, 253, 109518, 30512, 105184, 23187, 54926, 105908, 110482, 111108, 26854, 107803, 102052, 5486, 114940, 106053, 32938, 15682, 109431, 112904, 20230, 25333, 23187, 83812, 254, 101268, 253, 109518, 30512, 122074, 54926, 105908, 103082, 5486, 25333, 23187, 83812, 254, 101268, 253, 109518, 109853, 32977, 23226, 37656, 123628, 1135, 92555, 55031, 3101, 92555, 103296, 113801, 109415, 110071, 9174, 122270, 5486, 112607, 60632, 30046, 29295, 123680, 110322, 20230, 107542, 48634, 56051, 29295, 117976, 104698, 23039, 101399, 114556, 78183, 30369, 13821, 111, 107218, 123, 5486, 109544, 30512, 36668, 20230, 117976, 104698, 30046, 29295, 102178, 111665, 103792, 107803, 20230, 5486, 114940, 106053, 32938, 29295, 117976, 104698, 30046, 114556, 89046, 13821, 111, 107218, 123, 5486, 109544, 16144, 104908, 30512, 51609, 100204, 30369, 105908, 108608, 100909, 121711, 5486, 117976, 104698, 30046, 29295, 58426, 104908, 30512, 120853, 33476, 54926, 32149, 49691, 121, 67178, 16144, 13821, 111, 107218, 123, 5486, 109544, 30512, 104908, 56051, 126513, 5486, 112607, 60632, 112919, 36668, 105714, 127253, 118664, 110322, 26955, 254, 30512, 121846, 116446, 5486, 125173, 104698, 83812, 254, 101268, 253, 109518, 30512, 105184, 23187, 54926, 105908, 103082, 104533, 106045, 23187, 116216, 108086, 5486, 112607, 60632, 112919, 123680, 110322, 109972, 106529, 29295, 117355, 114485, 110731, 9174, 72814, 8, 84410, 105888, 112607, 112919, 83812, 254, 101268, 253, 105318, 39177, 122692, 38129, 104577, 102781, 16144, 106045, 23187, 16144, 17039, 102332, 10110, 30537, 1227, 40089, 123407, 23226, 37656, 25333, 77181, 5486, 112607, 60632, 30046, 29295, 83812, 254, 101268, 253, 30512, 105318, 54926, 125344, 38129, 104577, 102781, 114556, 39926, 36896, 117976, 104698, 30512, 126014, 58942, 109115, 40265, 30926, 30046, 29295, 5486, 125104, 33122, 105888, 112607, 30046, 29295, 125104, 33122, 105888, 30512, 38129, 109768, 100604, 102677, 108324, 13870, 223, 30512, 36668, 105714, 56051, 107803, 5486, 114940, 106053, 32938, 15682, 5486, 125104, 33122, 105888, 112607, 30046, 20230, 58426, 25580, 18, 8107, 56965, 122692, 125104, 33122, 105888, 16144, 103350, 104983, 38129, 110322, 26955, 254, 16144, 118664, 30512, 105318, 54926, 105908, 108608, 1811, 125104, 33122, 105888, 112607, 30046, 15682, 106116, 25580, 18, 8107, 122756, 40265, 109638, 125104, 33122, 105888, 30512, 38129, 56051, 100909, 5486, 102420, 15682, 5486, 117976, 104698, 23039, 101399, 112212, 114950, 16144, 125173, 21388, 30512, 101307, 100472, 106592, 110322, 31958, 118765, 107803, 102052, 5486, 117976, 104698, 30512, 126014, 58942, 109115, 40265, 30926, 30046, 15682, 83812, 254, 101268, 253, 16144, 113160, 49988, 30512, 109972, 78183, 100604, 66383, 106045, 23187, 103792, 9174, 17905, 61304, 16556, 126362, 56051, 44915, 16144, 102717, 32149, 5486, 120115, 20834, 112622, 16144, 106839, 17701, 10110, 30537, 1313, 40089, 65459, 33122, 105888, 113551, 101513, 106391, 16144, 40452, 104195, 33208, 10110, 30537, 777, 40089, 5486, 30537, 2614, 40089, 7705, 50667, 16144, 23226, 37656, 32977, 23039, 78183, 115032, 9174, 11144, 104650, 37689, 28542, 112479, 37271, 18904, 16144, 23226, 37656, 113468, 13177, 43511, 107707, 125104, 33122, 105888, 5486, 39442, 125104, 16144, 46065, 111, 13372, 33122, 105888, 30512, 114435, 31091, 20230, 33122, 18476, 103306, 38129, 15024, 5486, 35417, 123378, 30512, 125144, 104736, 124545, 10646, 23039, 101399, 29295, 16937, 37656, 114300, 106106, 20230, 109638, 40265, 112990, 106045, 23187, 103646, 29295, 5486, 43511, 107707, 102700, 13372, 26854, 33122, 18476, 30512, 33122, 105888, 103306, 125104, 54926, 100909, 109853, 15682, 37271, 18904, 16144, 23226, 37656, 81742, 77181, 78244, 82317, 116216, 33334, 121140, 5486, 102700, 13372, 16556, 106063, 109832, 109904, 114435, 33122, 18476, 109853, 15682, 5486, 114435, 29295, 33122, 105888, 103306, 125104, 54926, 118733, 123050, 54926, 105908, 109215, 103195, 1811, 126738, 5486, 30537, 843, 40089, 20230, 106045, 23187, 16144, 13177, 61826, 23039, 112607, 60632, 10646, 20230, 75146, 109669, 50834, 61826, 23039, 33122, 18476, 112607, 16144, 123050, 30512, 32018, 109315, 115789, 108608, 9174, 37271, 18904, 16144, 23226, 37656, 113468, 38129, 104577, 102781, 16144, 106045, 23187, 29295, 17039, 102332, 103646, 100909, 55031, 5486, 33122, 105888, 112607, 30046, 15682, 33122, 105888, 16144, 103350, 104983, 16144, 38129, 121960, 33122, 105888, 16144, 38129, 110322, 26955, 254, 30512, 27384, 102769, 20230, 47585, 15024, 5486, 91482, 76428, 102750, 117718, 18655, 73686, 17161, 102181, 105352, 103350, 104983, 20230, 38129, 56051, 33122, 105888, 30512, 61304, 107121, 39926, 33334, 126145, 126521, 9174, 22656, 83932, 19967, 13153, 39177, 121960, 5486, 33122, 105888, 107338, 40452, 91077, 15682, 33122, 105888, 25333, 103350, 102923, 40089, 27452, 16144, 23226, 37656, 20230, 100815, 46034, 126020, 5486, 42016, 40089, 27452, 121960, 5486, 79785, 71174, 33122, 105888, 16144, 20834, 112622, 31634, 14558, 112160, 20834, 112622, 43240, 24775, 17620, 16144, 106382, 11883, 123782, 19732, 33122, 105888, 117859, 112984, 23226, 37656, 46034, 106307, 16144, 118789, 109904, 41007, 29295, 31958, 105184, 20230, 106045, 23187, 107001, 105908, 75293, 28713, 104028, 9174, 68431, 50550, 102741, 61398, 9458, 23226, 37656, 33122, 105888, 25333, 198, 68431, 50550, 22656, 17161, 102181, 16144, 19967, 13153, 30046, 70090, 102138, 104067, 127710, 53283, 109375, 106518, 112607, 113551, 123357, 32938, 198, 68431, 50550, 108975, 48634, 108936, 112686, 108638, 122491, 125261, 25333, 102473, 120690, 87109, 105635, 89151, 108068, 128001, 128000, 567, 78507, 228, 104760, 94923, 38093, 104760, 108565, 108134, 51431, 20713, 60596, 60596, 18904, 29504, 38093, 104351, 248, 21990, 8239, 112, 122502, 114373, 38093, 51431, 25963, 25963, 18476, 198, 2, 16, 30537, 20713, 60596 ]
[ 60596, 18904, 29504, 38093, 104351, 248, 21990, 8239, 112, 122502, 114373, 38093, 51431, 25963, 25963, 18476, 198, 114565, 95598, 103178, 8107, 122706, 110446, 41920, 9080, 10110, 80699, 121914, 23954, 35424, 25580, 103178, 39177, 15120, 17620, 87447, 104760, 198, 20834, 105350, 114373, 198, 114373, 101544, 6704, 104, 119, 101129, 103872, 102, 118022, 106656, 198, 22649, 30926, 114883, 105635, 22023, 117739, 106656, 112296, 30926, 18630, 112, 101, 17297, 101961, 104703, 106656, 198, 22649, 30926, 111370, 115, 40198, 239, 54597, 251, 106656, 112296, 30926, 125677, 119506, 107934, 233, 15120, 106656, 198, 22649, 30926, 114147, 102212, 108519, 119458, 106656, 112296, 30926, 103993, 103932, 43949, 101, 105330, 106656, 198, 22649, 30926, 105731, 103932, 59243, 108630, 106656, 112296, 30926, 109609, 102687, 116808, 232, 106656, 198, 17039, 103932, 118375, 99, 41920, 106656, 220, 103932, 17905, 119736, 71005, 106656, 198, 102465, 106894, 109481, 111, 106656, 94983, 105635, 107964, 251, 22023, 106656, 198, 101701, 40089, 90040, 245, 110227, 106656, 114071, 53229, 108477, 254, 41920, 106656, 198, 76505, 101634, 103872, 102, 105330, 106656, 109481, 116, 101129, 54140, 105330, 106656, 198, 80866, 53610, 165, 112, 119, 15120, 104703, 106656, 107893, 227, 53229, 101961, 106241, 106656, 198, 125446, 101634, 112119, 119154, 106656, 103372, 116750, 127426, 15120, 106656, 198, 109076, 103932, 101129, 19732, 33334, 30369, 106656, 69839, 101, 106344, 107964, 231, 106656, 198, 101544, 106894, 106515, 117739, 106656, 105657, 101701, 126953, 45829, 106656, 198, 102138, 125705, 97, 106656, 111830, 101129, 220, 103507, 106347, 96, 106656, 198, 103005, 106344, 110124, 229, 102267, 123, 106656, 115718, 102212, 123515, 15120, 106656, 198, 104500, 22656, 105490, 242, 106656, 115718, 22656, 107934, 233, 50211, 106656, 198, 27384, 102687, 44714, 99, 106656, 107893, 232, 101129, 89151, 107859, 45829, 106656, 198, 107159, 59243, 45829, 106656, 54699, 240, 101129, 96622, 115, 102216, 106656, 198, 101129, 13372, 34048, 13773, 94, 31640, 106656, 105697, 240, 103932, 119736, 109596, 106656, 198, 101544, 109297, 40003, 255, 106656, 105490, 108, 101701, 85241, 233, 101908, 106656, 198, 115641, 40526, 55699, 249, 106656, 115752, 102571, 115328, 226, 45829, 106656, 198, 45736, 106554, 103633, 165, 114, 112, 45829, 106656, 109510, 34048, 119041, 45829, 106656, 198, 112950, 21990, 8239, 112, 122502, 27384, 113524, 75513, 102781, 102078, 107893, 227, 53229, 101961, 106241, 106656, 198, 112950, 21990, 8239, 112, 122502, 27384, 113524, 75513, 102781, 102078, 115718, 102212, 123515, 15120, 106656, 198, 121846, 17792, 198, 10110, 103856, 24615, 110, 101129, 102667, 25333, 48864, 48864, 103991, 94923, 116891, 23954, 10110, 25333, 48864, 121987, 7705, 119361, 105635, 104975, 106594, 106656, 198, 10110, 61337, 108638, 122491, 102433, 106613, 111587, 108638, 33014, 89046, 40862, 38093, 114363, 102781, 22649, 30926, 7705, 10447, 71397, 111059, 54597, 251, 106656, 198, 10110, 106222, 33563, 117126, 8239, 112, 102781, 101559, 23954, 10110, 104774, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 7705, 220, 103932, 109076, 105913, 120929, 106656, 198, 10110, 13870, 223, 106528, 101559, 7705, 111370, 115, 119506, 90040, 254, 117406, 106656, 198, 10110, 8107, 35330, 103350, 102781, 120690, 106691, 7705, 103964, 17161, 40003, 255, 101908, 106656, 198, 10110, 25580, 124417, 117669, 117669, 116531, 10110, 106222, 118788, 126913, 102078, 11795, 223, 127123, 102473, 101513, 106391, 7705, 115478, 102750, 109229, 22656, 34048, 65854, 102351, 102473, 102351, 23954, 10110, 80195, 37656, 102667, 102667, 94923, 116891, 7705, 98359, 94, 34048, 105864, 246, 51385, 106656, 198, 112950, 21990, 8239, 112, 122502, 114373, 38093, 114363, 103722, 102351, 6704, 99, 232, 53229, 90040, 245, 112840, 106656, 198, 119022, 119022, 119022, 63072, 198, 114373, 16144, 108901, 91875, 198, 122706, 110446, 41920, 9080, 198, 121355, 49988, 115189, 250, 124490, 102647, 49988, 198, 76475, 248, 76505, 117604, 104577, 106656, 111925, 109297, 40003, 255, 106656, 198, 42016, 9080, 198, 101544, 109297, 40003, 255, 106656, 104974, 248, 76505, 117604, 104577, 106656, 198, 22656, 117073, 38093, 104760, 20230, 47000, 56051, 81742, 14558, 198, 102433, 8107, 35330, 101513, 106391, 25333, 81742, 10110, 32943, 34273, 96, 118664, 30537, 103305, 102397, 18476, 23954, 29504, 70821, 8107, 35330, 118482, 50667, 16144, 103768, 112167, 16144, 23226, 106594, 16144, 124122, 29504, 70821, 8107, 35330, 25333, 50667, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 81742, 10110, 32943, 34273, 96, 118664, 30537, 103305, 103178, 18476, 23954, 97049, 17701, 11795, 223, 102332, 22324, 25333, 81742, 10110, 58911, 103932, 34208, 108630, 106656, 48915, 76208, 13372, 118664, 5486, 123378, 25333, 106135, 46091, 18476, 23954, 29504, 70821, 8107, 35330, 118482, 127253, 112950, 21990, 8107, 35330, 33563, 117126, 118482, 16144, 109431, 102769, 26854, 112686, 75513, 103768, 112167, 20230, 103087, 54926, 124122, 29504, 70821, 8107, 35330, 25333, 127253, 112950, 21990, 8107, 35330, 33563, 117126, 25333, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 81742, 10110, 58911, 103932, 34208, 108630, 106656, 48915, 76208, 13372, 118664, 5486, 123378, 25333, 106135, 64803, 18476, 23954, 35417, 9554, 8107, 35330, 114305, 113115, 54926, 29504, 70821, 16144, 22023, 117943, 16144, 18904, 109095, 30512, 111629, 30369, 124122, 8107, 35330, 121568, 108134, 116690, 104873, 112984, 16144, 103350, 102923, 50667, 123863, 112424, 81742, 10110, 58911, 103932, 34208, 108630, 106656, 48915, 76208, 13372, 118664, 5486, 123378, 25333, 106135, 76208, 18476, 23954, 119022, 41832, 229, 119022, 63072, 198, 2, 17, 198, 109298, 162, 104, 119, 101129, 114373, 101544, 85701, 105755, 38093, 104760, 125523, 50834, 33541, 9174, 32943, 34273, 96, 118664, 123085, 8107, 35330, 101513, 106391, 25333, 81742, 127253, 29504, 70821, 8107, 35330, 118482, 50667, 16144, 103768, 112167, 16144, 23226, 106594, 16144, 124122, 29504, 70821, 8107, 35330, 25333, 50667, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 81742, 105360, 102802, 20230, 58911, 103932, 34208, 108630, 106656, 48915, 76208, 13372, 118664, 5486, 97049, 17701, 11795, 223, 102332, 22324, 25333, 81742, 5486, 29504, 70821, 8107, 35330, 118482, 127253, 112950, 21990, 8107, 35330, 33563, 117126, 118482, 16144, 109431, 102769, 26854, 112686, 75513, 103768, 112167, 20230, 103087, 54926, 124122, 29504, 70821, 8107, 35330, 25333, 127253, 112950, 21990, 8107, 35330, 33563, 117126, 25333, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 81742, 127253, 35417, 9554, 8107, 35330, 114305, 113115, 54926, 29504, 70821, 16144, 22023, 117943, 16144, 18904, 109095, 30512, 111629, 30369, 124122, 8107, 35330, 121568, 108134, 116690, 104873, 112984, 16144, 103350, 102923, 50667, 123863, 112424, 81742, 16144, 102208, 81742, 30512, 15120, 106885, 39926, 104760, 104482, 102083, 28713, 78434, 9174, 22656, 9080, 15682, 5486, 102208, 81742, 117859, 112984, 16144, 103846, 5486, 121846, 17792, 103306, 5486, 103856, 24615, 110, 101129, 102667, 25333, 48864, 48864, 103991, 94923, 116891, 106150, 105635, 83947, 106594, 106656, 5486, 61337, 108638, 122491, 102433, 106613, 111587, 108638, 33014, 89046, 40862, 38093, 114363, 102781, 22649, 30926, 107859, 111059, 118022, 106656, 5486, 106222, 33563, 117126, 8239, 112, 102781, 101559, 9458, 104774, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 103932, 109076, 58666, 120929, 106656, 5486, 13870, 223, 106528, 101559, 104858, 119506, 112427, 117406, 106656, 5486, 8107, 35330, 103350, 102781, 120690, 106691, 35417, 17161, 110401, 101908, 106656, 5486, 25580, 124417, 117669, 117669, 116531, 10110, 106222, 118788, 126913, 102078, 11795, 223, 127123, 102473, 101513, 106391, 7705, 115478, 102750, 109229, 22656, 34048, 65854, 102351, 102473, 102351, 9458, 80195, 37656, 102667, 102667, 94923, 116891, 110968, 34048, 61304, 51385, 106656, 5486, 71689, 103070, 13372, 120332, 104680, 20230, 109088, 20834, 105350, 30512, 16995, 90620, 102532, 108086, 33541, 9174, 51330, 104983, 5486, 121846, 107707, 24273, 104680, 20230, 15120, 78244, 48154, 30591, 16995, 30813, 59739, 30512, 102782, 15024, 109415, 33541, 9174, 22656, 9080, 15682, 5486, 109088, 43240, 11883, 16325, 105352, 32149, 124233, 121140, 22656, 114373, 38093, 20230, 109088, 20834, 105350, 30512, 16995, 90620, 50834, 17129, 39926, 5486, 17129, 120266, 97135, 61689, 109900, 108422, 33121, 112197, 80195, 75267, 55031, 26203, 234, 107063, 248, 16144, 100604, 109088, 37689, 91774, 126130, 43032, 103854, 16995, 90620, 50834, 5486, 117859, 112984, 16144, 121846, 20230, 102334, 56051, 16995, 19732, 25359, 100204, 33541, 105879, 5486, 57980, 85791, 106624, 33334, 124730, 102782, 15024, 109415, 33541, 9174, 33671, 20230, 5486, 104760, 30926, 16144, 110480, 33144, 109853, 102782, 15024, 109415, 33541, 9174, 119869, 20230, 5486, 121846, 107707, 24273, 104680, 55031, 109088, 37689, 91774, 30512, 77693, 108422, 33121, 120902, 17620, 23897, 32943, 16556, 33334, 43032, 103854, 16995, 90620, 50834, 106116, 74482, 5486, 114373, 117758, 105284, 107750, 107898, 103899, 58942, 112622, 102334, 16995, 19732, 25359, 100204, 33541, 9174, 126738, 5486, 102404, 78244, 54926, 104983, 15682, 114373, 101544, 16144, 110008, 31540, 114475, 105784, 100909, 117084, 108086, 33541, 118855, 5486, 121846, 116537, 114373, 113115, 39926, 105284, 107750, 54926, 105908, 118765, 100909, 117084, 108086, 33541, 105879, 108149, 33503, 32149, 100204, 62004, 109088, 105005, 53283, 33334, 50834, 112622, 102334, 16995, 19732, 25359, 100204, 33541, 9174, 77693, 77181, 5486, 126843, 106150, 105635, 121846, 17792, 107898, 124730, 102334, 78434, 9174, 2, 18, 198, 109298, 106150, 105635, 121846, 17792, 33334, 15682, 101200, 123231, 9174, 90620, 16995, 17129, 109088, 126362, 16995, 90620, 50834, 79721, 106150, 105635, 83947, 106594, 19732, 102782, 78434, 1811, 103856, 24615, 110, 101129, 102667, 16144, 25333, 48864, 48864, 103991, 94923, 16556, 107338, 25333, 16144, 116891, 30512, 102334, 126020, 33541, 9174, 51330, 28713, 102802, 15682, 5486, 108895, 95604, 101513, 38093, 126130, 58318, 58942, 16995, 90620, 102532, 5486, 37689, 91774, 30512, 43032, 103854, 107726, 100481, 90620, 47884, 120266, 112950, 47884, 99750, 118835, 30512, 102782, 15024, 109415, 33541, 9174, 122571, 5486, 114565, 95598, 103305, 116358, 103305, 9953, 20230, 112950, 21990, 8239, 112, 122502, 27384, 113524, 123017, 19732, 20230, 102332, 76622, 102204, 79721, 106222, 33563, 117126, 17039, 121606, 16144, 103350, 102321, 121254, 107674, 19361, 109375, 30046, 38093, 104760, 16144, 103605, 101544, 30512, 126020, 79721, 102944, 38641, 55031, 5486, 106222, 33563, 117126, 11795, 223, 16144, 119254, 20230, 85701, 103296, 37689, 91774, 30512, 16995, 85791, 16995, 85791, 43032, 103854, 107726, 100481, 90620, 102532, 17129, 16995, 31431, 79721, 123601, 9080, 15682, 5486, 107338, 25333, 30512, 114363, 104987, 103792, 102473, 30046, 103306, 16144, 80195, 75267, 20230, 21601, 58942, 17129, 39926, 110371, 19361, 109375, 30046, 38093, 104760, 16144, 103605, 101544, 103306, 16144, 80195, 75267, 55031, 32977, 43032, 103854, 107726, 100481, 90620, 105898, 16995, 5486, 108895, 91763, 76947, 108086, 33541, 9174, 126843, 121453, 121606, 103350, 102321, 38093, 104760, 16144, 104760, 105242, 30512, 115251, 109088, 126362, 107726, 38144, 72315, 9174, 51330, 19361, 109375, 30046, 38093, 104760, 15682, 5486, 114565, 95598, 103305, 116358, 103305, 9953, 23897, 104989, 5486, 121101, 119254, 57326, 77750, 32131, 91062, 121453, 17792, 30926, 107624, 95001, 114305, 5486, 103305, 71493, 116358, 127348, 21403, 232, 114485, 82420, 55723, 104309, 109853, 104760, 105242, 30512, 39926, 17129, 16995, 31431, 79721, 1811, 121101, 119254, 107294, 50834, 17129, 39926, 15682, 102718, 110446, 111831, 106116, 74482, 5486, 21601, 58942, 17129, 39926, 102718, 103070, 95598, 111831, 20230, 78183, 28713, 30369, 29504, 70821, 60868, 113649, 117718, 70141, 17905, 50667, 30512, 96412, 109013, 29172, 78244, 50667, 30512, 39926, 105898, 110229, 38641, 1811, 121606, 119254, 107294, 50834, 17129, 39926, 15682, 115408, 67645, 102944, 19361, 109375, 30046, 38093, 104760, 16144, 112772, 5486, 32943, 34273, 96, 102078, 102064, 101544, 102078, 36668, 8676, 108, 123017, 19732, 20230, 61826, 23039, 56051, 19361, 109375, 30046, 38093, 104760, 29295, 77121, 16995, 17129, 39926, 5486, 114565, 95598, 103305, 116358, 122706, 20230, 5486, 8107, 35330, 17039, 121606, 30512, 125525, 105212, 121606, 103306, 102332, 105784, 6079, 101, 16144, 102971, 105242, 30512, 20834, 39926, 33334, 102204, 33541, 109900, 30512, 118789, 33208, 54926, 112973, 86127, 67645, 102944, 19361, 109375, 30046, 38093, 104760, 16144, 117876, 16556, 77121, 16995, 79721, 9174, 58426, 104983, 16144, 120098, 15682, 5486, 33671, 16144, 64803, 28542, 20230, 57903, 33541, 9174, 103983, 20230, 5486, 8107, 35330, 16144, 40452, 103768, 112167, 15682, 125525, 113160, 49988, 16556, 23039, 30297, 100909, 1811, 106135, 20230, 5486, 121606, 16144, 59739, 47884, 31431, 24273, 19732, 103801, 39926, 15682, 5486, 114640, 122074, 121432, 5486, 116043, 23039, 121432, 5486, 110423, 112984, 121432, 102677, 46091, 118821, 121432, 30512, 104195, 33208, 54926, 5486, 107734, 111017, 17620, 106529, 30512, 31958, 105184, 117657, 1811, 46091, 59739, 30832, 15682, 5486, 106848, 123357, 102078, 16144, 114305, 104309, 104088, 74245, 39926, 25766, 225, 82533, 39926, 5486, 108285, 103438, 109904, 115289, 122279, 26854, 17792, 30926, 40452, 29295, 108608, 105933, 106548, 103214, 64121, 116825, 47884, 107462, 47884, 1811, 64803, 59739, 30832, 102052, 5486, 70821, 56965, 109904, 17792, 30926, 40452, 5486, 27452, 116285, 5486, 17792, 30926, 107624, 95001, 5486, 106556, 22656, 25129, 124911, 30926, 5486, 104989, 49988, 104989, 35083, 50667, 16144, 109431, 37656, 26854, 103768, 11883, 30512, 103130, 109315, 5486, 108895, 95604, 118733, 77121, 16995, 79721, 9174, 58426, 74482, 5486, 118288, 116358, 105140, 20230, 5486, 103350, 15682, 16937, 109431, 37656, 123357, 117120, 22649, 16144, 109606, 125334, 38144, 17129, 16995, 31431, 17129, 39926, 5486, 58318, 104478, 16144, 112073, 98369, 107898, 32149, 33121, 17129, 39926, 15682, 106116, 104983, 121453, 28713, 26854, 24273, 13393, 251, 126130, 121216, 101983, 109115, 113334, 38641, 125939, 18904, 16144, 66776, 35417, 102781, 102351, 25287, 16144, 35417, 122491, 117408, 25333, 81742, 119012, 113334, 38641, 125939, 18904, 16144, 25333, 81742, 107294, 50834, 17129, 39926, 15682, 121453, 121606, 103350, 102321, 19361, 109375, 30046, 38093, 104760, 107898, 50834, 17129, 120837, 111800, 118219, 126020, 17129, 39926, 106116, 44915, 109853, 102782, 15024, 109415, 107726, 100481, 90620, 50834, 33541, 9174, 126843, 5486, 118288, 116358, 25333, 81742, 19732, 37271, 18904, 16144, 25333, 81742, 30512, 57106, 103854 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 60596, 18904, 29504, 38093, 104351, 248, 21990, 8239, 112, 122502, 114373, 38093, 51431, 25963, 25963, 18476, 198, 114565, 95598, 103178, 8107, 122706, 110446, 41920, 9080, 10110, 80699, 121914, 23954, 35424, 25580, 103178, 39177, 15120, 17620, 87447, 104760, 198, 20834, 105350, 114373, 198, 114373, 101544, 6704, 104, 119, 101129, 103872, 102, 118022, 106656, 198, 22649, 30926, 114883, 105635, 22023, 117739, 106656, 112296, 30926, 18630, 112, 101, 17297, 101961, 104703, 106656, 198, 22649, 30926, 111370, 115, 40198, 239, 54597, 251, 106656, 112296, 30926, 125677, 119506, 107934, 233, 15120, 106656, 198, 22649, 30926, 114147, 102212, 108519, 119458, 106656, 112296, 30926, 103993, 103932, 43949, 101, 105330, 106656, 198, 22649, 30926, 105731, 103932, 59243, 108630, 106656, 112296, 30926, 109609, 102687, 116808, 232, 106656, 198, 17039, 103932, 118375, 99, 41920, 106656, 220, 103932, 17905, 119736, 71005, 106656, 198, 102465, 106894, 109481, 111, 106656, 94983, 105635, 107964, 251, 22023, 106656, 198, 101701, 40089, 90040, 245, 110227, 106656, 114071, 53229, 108477, 254, 41920, 106656, 198, 76505, 101634, 103872, 102, 105330, 106656, 109481, 116, 101129, 54140, 105330, 106656, 198, 80866, 53610, 165, 112, 119, 15120, 104703, 106656, 107893, 227, 53229, 101961, 106241, 106656, 198, 125446, 101634, 112119, 119154, 106656, 103372, 116750, 127426, 15120, 106656, 198, 109076, 103932, 101129, 19732, 33334, 30369, 106656, 69839, 101, 106344, 107964, 231, 106656, 198, 101544, 106894, 106515, 117739, 106656, 105657, 101701, 126953, 45829, 106656, 198, 102138, 125705, 97, 106656, 111830, 101129, 220, 103507, 106347, 96, 106656, 198, 103005, 106344, 110124, 229, 102267, 123, 106656, 115718, 102212, 123515, 15120, 106656, 198, 104500, 22656, 105490, 242, 106656, 115718, 22656, 107934, 233, 50211, 106656, 198, 27384, 102687, 44714, 99, 106656, 107893, 232, 101129, 89151, 107859, 45829, 106656, 198, 107159, 59243, 45829, 106656, 54699, 240, 101129, 96622, 115, 102216, 106656, 198, 101129, 13372, 34048, 13773, 94, 31640, 106656, 105697, 240, 103932, 119736, 109596, 106656, 198, 101544, 109297, 40003, 255, 106656, 105490, 108, 101701, 85241, 233, 101908, 106656, 198, 115641, 40526, 55699, 249, 106656, 115752, 102571, 115328, 226, 45829, 106656, 198, 45736, 106554, 103633, 165, 114, 112, 45829, 106656, 109510, 34048, 119041, 45829, 106656, 198, 112950, 21990, 8239, 112, 122502, 27384, 113524, 75513, 102781, 102078, 107893, 227, 53229, 101961, 106241, 106656, 198, 112950, 21990, 8239, 112, 122502, 27384, 113524, 75513, 102781, 102078, 115718, 102212, 123515, 15120, 106656, 198, 121846, 17792, 198, 10110, 103856, 24615, 110, 101129, 102667, 25333, 48864, 48864, 103991, 94923, 116891, 23954, 10110, 25333, 48864, 121987, 7705, 119361, 105635, 104975, 106594, 106656, 198, 10110, 61337, 108638, 122491, 102433, 106613, 111587, 108638, 33014, 89046, 40862, 38093, 114363, 102781, 22649, 30926, 7705, 10447, 71397, 111059, 54597, 251, 106656, 198, 10110, 106222, 33563, 117126, 8239, 112, 102781, 101559, 23954, 10110, 104774, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 7705, 220, 103932, 109076, 105913, 120929, 106656, 198, 10110, 13870, 223, 106528, 101559, 7705, 111370, 115, 119506, 90040, 254, 117406, 106656, 198, 10110, 8107, 35330, 103350, 102781, 120690, 106691, 7705, 103964, 17161, 40003, 255, 101908, 106656, 198, 10110, 25580, 124417, 117669, 117669, 116531, 10110, 106222, 118788, 126913, 102078, 11795, 223, 127123, 102473, 101513, 106391, 7705, 115478, 102750, 109229, 22656, 34048, 65854, 102351, 102473, 102351, 23954, 10110, 80195, 37656, 102667, 102667, 94923, 116891, 7705, 98359, 94, 34048, 105864, 246, 51385, 106656, 198, 112950, 21990, 8239, 112, 122502, 114373, 38093, 114363, 103722, 102351, 6704, 99, 232, 53229, 90040, 245, 112840, 106656, 198, 119022, 119022, 119022, 63072, 198, 114373, 16144, 108901, 91875, 198, 122706, 110446, 41920, 9080, 198, 121355, 49988, 115189, 250, 124490, 102647, 49988, 198, 76475, 248, 76505, 117604, 104577, 106656, 111925, 109297, 40003, 255, 106656, 198, 42016, 9080, 198, 101544, 109297, 40003, 255, 106656, 104974, 248, 76505, 117604, 104577, 106656, 198, 22656, 117073, 38093, 104760, 20230, 47000, 56051, 81742, 14558, 198, 102433, 8107, 35330, 101513, 106391, 25333, 81742, 10110, 32943, 34273, 96, 118664, 30537, 103305, 102397, 18476, 23954, 29504, 70821, 8107, 35330, 118482, 50667, 16144, 103768, 112167, 16144, 23226, 106594, 16144, 124122, 29504, 70821, 8107, 35330, 25333, 50667, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 81742, 10110, 32943, 34273, 96, 118664, 30537, 103305, 103178, 18476, 23954, 97049, 17701, 11795, 223, 102332, 22324, 25333, 81742, 10110, 58911, 103932, 34208, 108630, 106656, 48915, 76208, 13372, 118664, 5486, 123378, 25333, 106135, 46091, 18476, 23954, 29504, 70821, 8107, 35330, 118482, 127253, 112950, 21990, 8107, 35330, 33563, 117126, 118482, 16144, 109431, 102769, 26854, 112686, 75513, 103768, 112167, 20230, 103087, 54926, 124122, 29504, 70821, 8107, 35330, 25333, 127253, 112950, 21990, 8107, 35330, 33563, 117126, 25333, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 81742, 10110, 58911, 103932, 34208, 108630, 106656, 48915, 76208, 13372, 118664, 5486, 123378, 25333, 106135, 64803, 18476, 23954, 35417, 9554, 8107, 35330, 114305, 113115, 54926, 29504, 70821, 16144, 22023, 117943, 16144, 18904, 109095, 30512, 111629, 30369, 124122, 8107, 35330, 121568, 108134, 116690, 104873, 112984, 16144, 103350, 102923, 50667, 123863, 112424, 81742, 10110, 58911, 103932, 34208, 108630, 106656, 48915, 76208, 13372, 118664, 5486, 123378, 25333, 106135, 76208, 18476, 23954, 119022, 41832, 229, 119022, 63072, 198, 2, 17, 198, 109298, 162, 104, 119, 101129, 114373, 101544, 85701, 105755, 38093, 104760, 125523, 50834, 33541, 9174, 32943, 34273, 96, 118664, 123085, 8107, 35330, 101513, 106391, 25333, 81742, 127253, 29504, 70821, 8107, 35330, 118482, 50667, 16144, 103768, 112167, 16144, 23226, 106594, 16144, 124122, 29504, 70821, 8107, 35330, 25333, 50667, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 81742, 105360, 102802, 20230, 58911, 103932, 34208, 108630, 106656, 48915, 76208, 13372, 118664, 5486, 97049, 17701, 11795, 223, 102332, 22324, 25333, 81742, 5486, 29504, 70821, 8107, 35330, 118482, 127253, 112950, 21990, 8107, 35330, 33563, 117126, 118482, 16144, 109431, 102769, 26854, 112686, 75513, 103768, 112167, 20230, 103087, 54926, 124122, 29504, 70821, 8107, 35330, 25333, 127253, 112950, 21990, 8107, 35330, 33563, 117126, 25333, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 81742, 127253, 35417, 9554, 8107, 35330, 114305, 113115, 54926, 29504, 70821, 16144, 22023, 117943, 16144, 18904, 109095, 30512, 111629, 30369, 124122, 8107, 35330, 121568, 108134, 116690, 104873, 112984, 16144, 103350, 102923, 50667, 123863, 112424, 81742, 16144, 102208, 81742, 30512, 15120, 106885, 39926, 104760, 104482, 102083, 28713, 78434, 9174, 22656, 9080, 15682, 5486, 102208, 81742, 117859, 112984, 16144, 103846, 5486, 121846, 17792, 103306, 5486, 103856, 24615, 110, 101129, 102667, 25333, 48864, 48864, 103991, 94923, 116891, 106150, 105635, 83947, 106594, 106656, 5486, 61337, 108638, 122491, 102433, 106613, 111587, 108638, 33014, 89046, 40862, 38093, 114363, 102781, 22649, 30926, 107859, 111059, 118022, 106656, 5486, 106222, 33563, 117126, 8239, 112, 102781, 101559, 9458, 104774, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 103932, 109076, 58666, 120929, 106656, 5486, 13870, 223, 106528, 101559, 104858, 119506, 112427, 117406, 106656, 5486, 8107, 35330, 103350, 102781, 120690, 106691, 35417, 17161, 110401, 101908, 106656, 5486, 25580, 124417, 117669, 117669, 116531, 10110, 106222, 118788, 126913, 102078, 11795, 223, 127123, 102473, 101513, 106391, 7705, 115478, 102750, 109229, 22656, 34048, 65854, 102351, 102473, 102351, 9458, 80195, 37656, 102667, 102667, 94923, 116891, 110968, 34048, 61304, 51385, 106656, 5486, 71689, 103070, 13372, 120332, 104680, 20230, 109088, 20834, 105350, 30512, 16995, 90620, 102532, 108086, 33541, 9174, 51330, 104983, 5486, 121846, 107707, 24273, 104680, 20230, 15120, 78244, 48154, 30591, 16995, 30813, 59739, 30512, 102782, 15024, 109415, 33541, 9174, 22656, 9080, 15682, 5486, 109088, 43240, 11883, 16325, 105352, 32149, 124233, 121140, 22656, 114373, 38093, 20230, 109088, 20834, 105350, 30512, 16995, 90620, 50834, 17129, 39926, 5486, 17129, 120266, 97135, 61689, 109900, 108422, 33121, 112197, 80195, 75267, 55031, 26203, 234, 107063, 248, 16144, 100604, 109088, 37689, 91774, 126130, 43032, 103854, 16995, 90620, 50834, 5486, 117859, 112984, 16144, 121846, 20230, 102334, 56051, 16995, 19732, 25359, 100204, 33541, 105879, 5486, 57980, 85791, 106624, 33334, 124730, 102782, 15024, 109415, 33541, 9174, 33671, 20230, 5486, 104760, 30926, 16144, 110480, 33144, 109853, 102782, 15024, 109415, 33541, 9174, 119869, 20230, 5486, 121846, 107707, 24273, 104680, 55031, 109088, 37689, 91774, 30512, 77693, 108422, 33121, 120902, 17620, 23897, 32943, 16556, 33334, 43032, 103854, 16995, 90620, 50834, 106116, 74482, 5486, 114373, 117758, 105284, 107750, 107898, 103899, 58942, 112622, 102334, 16995, 19732, 25359, 100204, 33541, 9174, 126738, 5486, 102404, 78244, 54926, 104983, 15682, 114373, 101544, 16144, 110008, 31540, 114475, 105784, 100909, 117084, 108086, 33541, 118855, 5486, 121846, 116537, 114373, 113115, 39926, 105284, 107750, 54926, 105908, 118765, 100909, 117084, 108086, 33541, 105879, 108149, 33503, 32149, 100204, 62004, 109088, 105005, 53283, 33334, 50834, 112622, 102334, 16995, 19732, 25359, 100204, 33541, 9174, 77693, 77181, 5486, 126843, 106150, 105635, 121846, 17792, 107898, 124730, 102334, 78434, 9174, 2, 18, 198, 109298, 106150, 105635, 121846, 17792, 33334, 15682, 101200, 123231, 9174, 90620, 16995, 17129, 109088, 126362, 16995, 90620, 50834, 79721, 106150, 105635, 83947, 106594, 19732, 102782, 78434, 1811, 103856, 24615, 110, 101129, 102667, 16144, 25333, 48864, 48864, 103991, 94923, 16556, 107338, 25333, 16144, 116891, 30512, 102334, 126020, 33541, 9174, 51330, 28713, 102802, 15682, 5486, 108895, 95604, 101513, 38093, 126130, 58318, 58942, 16995, 90620, 102532, 5486, 37689, 91774, 30512, 43032, 103854, 107726, 100481, 90620, 47884, 120266, 112950, 47884, 99750, 118835, 30512, 102782, 15024, 109415, 33541, 9174, 122571, 5486, 114565, 95598, 103305, 116358, 103305, 9953, 20230, 112950, 21990, 8239, 112, 122502, 27384, 113524, 123017, 19732, 20230, 102332, 76622, 102204, 79721, 106222, 33563, 117126, 17039, 121606, 16144, 103350, 102321, 121254, 107674, 19361, 109375, 30046, 38093, 104760, 16144, 103605, 101544, 30512, 126020, 79721, 102944, 38641, 55031, 5486, 106222, 33563, 117126, 11795, 223, 16144, 119254, 20230, 85701, 103296, 37689, 91774, 30512, 16995, 85791, 16995, 85791, 43032, 103854, 107726, 100481, 90620, 102532, 17129, 16995, 31431, 79721, 123601, 9080, 15682, 5486, 107338, 25333, 30512, 114363, 104987, 103792, 102473, 30046, 103306, 16144, 80195, 75267, 20230, 21601, 58942, 17129, 39926, 110371, 19361, 109375, 30046, 38093, 104760, 16144, 103605, 101544, 103306, 16144, 80195, 75267, 55031, 32977, 43032, 103854, 107726, 100481, 90620, 105898, 16995, 5486, 108895, 91763, 76947, 108086, 33541, 9174, 126843, 121453, 121606, 103350, 102321, 38093, 104760, 16144, 104760, 105242, 30512, 115251, 109088, 126362, 107726, 38144, 72315, 9174, 51330, 19361, 109375, 30046, 38093, 104760, 15682, 5486, 114565, 95598, 103305, 116358, 103305, 9953, 23897, 104989, 5486, 121101, 119254, 57326, 77750, 32131, 91062, 121453, 17792, 30926, 107624, 95001, 114305, 5486, 103305, 71493, 116358, 127348, 21403, 232, 114485, 82420, 55723, 104309, 109853, 104760, 105242, 30512, 39926, 17129, 16995, 31431, 79721, 1811, 121101, 119254, 107294, 50834, 17129, 39926, 15682, 102718, 110446, 111831, 106116, 74482, 5486, 21601, 58942, 17129, 39926, 102718, 103070, 95598, 111831, 20230, 78183, 28713, 30369, 29504, 70821, 60868, 113649, 117718, 70141, 17905, 50667, 30512, 96412, 109013, 29172, 78244, 50667, 30512, 39926, 105898, 110229, 38641, 1811, 121606, 119254, 107294, 50834, 17129, 39926, 15682, 115408, 67645, 102944, 19361, 109375, 30046, 38093, 104760, 16144, 112772, 5486, 32943, 34273, 96, 102078, 102064, 101544, 102078, 36668, 8676, 108, 123017, 19732, 20230, 61826, 23039, 56051, 19361, 109375, 30046, 38093, 104760, 29295, 77121, 16995, 17129, 39926, 5486, 114565, 95598, 103305, 116358, 122706, 20230, 5486, 8107, 35330, 17039, 121606, 30512, 125525, 105212, 121606, 103306, 102332, 105784, 6079, 101, 16144, 102971, 105242, 30512, 20834, 39926, 33334, 102204, 33541, 109900, 30512, 118789, 33208, 54926, 112973, 86127, 67645, 102944, 19361, 109375, 30046, 38093, 104760, 16144, 117876, 16556, 77121, 16995, 79721, 9174, 58426, 104983, 16144, 120098, 15682, 5486, 33671, 16144, 64803, 28542, 20230, 57903, 33541, 9174, 103983, 20230, 5486, 8107, 35330, 16144, 40452, 103768, 112167, 15682, 125525, 113160, 49988, 16556, 23039, 30297, 100909, 1811, 106135, 20230, 5486, 121606, 16144, 59739, 47884, 31431, 24273, 19732, 103801, 39926, 15682, 5486, 114640, 122074, 121432, 5486, 116043, 23039, 121432, 5486, 110423, 112984, 121432, 102677, 46091, 118821, 121432, 30512, 104195, 33208, 54926, 5486, 107734, 111017, 17620, 106529, 30512, 31958, 105184, 117657, 1811, 46091, 59739, 30832, 15682, 5486, 106848, 123357, 102078, 16144, 114305, 104309, 104088, 74245, 39926, 25766, 225, 82533, 39926, 5486, 108285, 103438, 109904, 115289, 122279, 26854, 17792, 30926, 40452, 29295, 108608, 105933, 106548, 103214, 64121, 116825, 47884, 107462, 47884, 1811, 64803, 59739, 30832, 102052, 5486, 70821, 56965, 109904, 17792, 30926, 40452, 5486, 27452, 116285, 5486, 17792, 30926, 107624, 95001, 5486, 106556, 22656, 25129, 124911, 30926, 5486, 104989, 49988, 104989, 35083, 50667, 16144, 109431, 37656, 26854, 103768, 11883, 30512, 103130, 109315, 5486, 108895, 95604, 118733, 77121, 16995, 79721, 9174, 58426, 74482, 5486, 118288, 116358, 105140, 20230, 5486, 103350, 15682, 16937, 109431, 37656, 123357, 117120, 22649, 16144, 109606, 125334, 38144, 17129, 16995, 31431, 17129, 39926, 5486, 58318, 104478, 16144, 112073, 98369, 107898, 32149, 33121, 17129, 39926, 15682, 106116, 104983, 121453, 28713, 26854, 24273, 13393, 251, 126130, 121216, 101983, 109115, 113334, 38641, 125939, 18904, 16144, 66776, 35417, 102781, 102351, 25287, 16144, 35417, 122491, 117408, 25333, 81742, 119012, 113334, 38641, 125939, 18904, 16144, 25333, 81742, 107294, 50834, 17129, 39926, 15682, 121453, 121606, 103350, 102321, 19361, 109375, 30046, 38093, 104760, 107898, 50834, 17129, 120837, 111800, 118219, 126020, 17129, 39926, 106116, 44915, 109853, 102782, 15024, 109415, 107726, 100481, 90620, 50834, 33541, 9174, 126843, 5486, 118288, 116358, 25333, 81742, 19732, 37271, 18904, 16144, 25333, 81742, 30512, 57106, 103854 ]
[ 33541, 19732, 115515, 18904, 16144, 25333, 81742, 77181, 121453, 121606, 30512, 66776, 35417, 102781, 102351, 25287, 16144, 35417, 122491, 117408, 105908, 27384, 112495, 122489, 28542, 16556, 123231, 119520, 5486, 35417, 9554, 8107, 35330, 112649, 124233, 30369, 112686, 75513, 113160, 49988, 5486, 40452, 113160, 49988, 15682, 113801, 106307, 50834, 29504, 29295, 109972, 30297, 121906, 126020, 17129, 39926, 5486, 35417, 9554, 8107, 35330, 114305, 30512, 50834, 43514, 104043, 45144, 227, 69978, 15024, 5486, 35417, 9554, 8107, 35330, 109853, 15682, 125525, 113160, 49988, 123017, 19732, 20230, 51385, 23187, 109904, 103768, 112167, 30512, 111629, 30369, 102677, 27384, 25580, 29172, 15682, 113801, 106307, 50834, 109205, 69978, 107001, 5486, 108895, 95604, 118733, 77121, 16995, 79721, 9174, 25580, 18904, 16144, 25333, 81742, 16144, 107693, 26854, 120098, 15682, 112160, 59739, 15682, 5486, 114640, 122074, 121432, 5486, 121101, 116043, 23039, 121432, 5486, 110423, 112984, 121432, 16144, 112607, 48249, 5486, 113160, 49988, 30512, 50834, 43514, 104043, 17620, 106529, 39926, 31958, 105184, 113115, 106608, 109768, 47884, 1811, 41920, 59739, 30832, 15682, 5486, 33563, 117126, 42506, 30512, 26955, 254, 20834, 54926, 101307, 33563, 117126, 30046, 101182, 16995, 15682, 118482, 36668, 50667, 16144, 37689, 91774, 30512, 121101, 103768, 112167, 20230, 95543, 106482, 109768, 90620, 47884, 1811, 108895, 95604, 28542, 15682, 17039, 102800, 37271, 18904, 16144, 25333, 81742, 105352, 95543, 106482, 110731, 110229, 16556, 123231, 9174, 19361, 109375, 30046, 38093, 104760, 16144, 108167, 123011, 62004, 102083, 28713, 103801, 39926, 15682, 115515, 18904, 16144, 102433, 8107, 35330, 101513, 106391, 25333, 81742, 115847, 107294, 50834, 17129, 39926, 5486, 33671, 16144, 64803, 118821, 37689, 91774, 30512, 47000, 107726, 100481, 90620, 102532, 108086, 33541, 9174, 103983, 15682, 5486, 114640, 122074, 121432, 109853, 116787, 33541, 29295, 123085, 8107, 35330, 101513, 106391, 25333, 81742, 77181, 121453, 25333, 116537, 22649, 30926, 38093, 30512, 102332, 107441, 5486, 22649, 30926, 101544, 15120, 13372, 5486, 106966, 22649, 30926, 101544, 15120, 13372, 5486, 40053, 114731, 16144, 22649, 30926, 103305, 13372, 23897, 32943, 106116, 102717, 111201, 108008, 114731, 22649, 30926, 64803, 13372, 23897, 32943, 30512, 22324, 47884, 102677, 100909, 117084, 108086, 33541, 1811, 70821, 56965, 16144, 121450, 72661, 5486, 61337, 48915, 18655, 126233, 107734, 114305, 104309, 30512, 108167, 125639, 17129, 39926, 5486, 48915, 34048, 16144, 30832, 55031, 18655, 126233, 107734, 38093, 30512, 116696, 48552, 109768, 47884, 115847, 29295, 107188, 31431, 108936, 9554, 117084, 108086, 33541, 29295, 123085, 8107, 35330, 101513, 106391, 72661, 110371, 108008, 114731, 22649, 30926, 123160, 114305, 124905, 107462, 90620, 102532, 5486, 109431, 102769, 26854, 48915, 34048, 114363, 103722, 46729, 16144, 74843, 55723, 30512, 50928, 30369, 100909, 112212, 5486, 114640, 122074, 121432, 16144, 104195, 33208, 30512, 50834, 43514, 104043, 71289, 107462, 90620, 105898, 16995, 106046, 76947, 108086, 33541, 9174, 53900, 121453, 122491, 102052, 103768, 112167, 107624, 104760, 38093, 30512, 102332, 76622, 5486, 33563, 117126, 42506, 109972, 106529, 30046, 71289, 8107, 35330, 101682, 110698, 112919, 37689, 91774, 30512, 121101, 103768, 112167, 20230, 95543, 106482, 123410, 5486, 108895, 26854, 76947, 108086, 33541, 29295, 5486, 106222, 33563, 117126, 11795, 223, 72661, 5486, 114565, 120850, 8107, 105140, 55031, 103350, 15682, 106222, 33563, 117126, 118482, 103768, 112167, 107624, 104760, 38093, 30512, 102332, 76622, 17129, 39926, 123085, 8107, 35330, 101513, 106391, 72661, 42016, 103826, 26854, 108167, 121247, 16995, 30512, 37271, 74482, 109768, 90620, 47884, 115847, 30512, 104195, 47884, 103192, 104127, 16995, 104533, 107404, 116787, 33541, 29295, 106116, 117271, 15682, 25333, 81742, 107809, 109156, 76947, 108086, 33541, 9174, 106135, 20230, 5486, 110423, 112984, 121432, 109853, 116787, 33541, 29295, 5486, 127177, 118326, 107338, 122491, 104309, 72661, 5486, 110423, 30926, 111848, 121101, 110423, 112984, 101182, 16995, 15682, 38093, 82420, 110423, 112984, 5486, 48915, 34048, 16144, 38093, 82420, 110423, 112984, 17792, 101182, 16995, 15682, 110423, 112984, 122491, 121906, 95604, 102944, 111848, 110423, 112984, 29295, 23039, 123671, 33541, 29295, 110371, 28542, 32977, 37271, 18904, 16144, 25333, 81742, 20230, 109466, 31431, 104526, 17129, 115032, 5486, 108895, 95604, 100909, 38641, 1811, 122270, 112950, 21990, 8239, 112, 122502, 27384, 113524, 16144, 17039, 122491, 113115, 54926, 123113, 33014, 44416, 32977, 64531, 104874, 116216, 108086, 33541, 105879, 110371, 28542, 30512, 122270, 37689, 30512, 11883, 16995, 100481, 90620, 105898, 16995, 5486, 108895, 91763, 107462, 104533, 107404, 38641, 9174, 109790, 20230, 5486, 121101, 116043, 23039, 109853, 116787, 33541, 29295, 5486, 109431, 37656, 32149, 59739, 126120, 96455, 109904, 121101, 116043, 23039, 30512, 50834, 43514, 104043, 105184, 33563, 109768, 47884, 103846, 102052, 5486, 102971, 91077, 16144, 110229, 106116, 43240, 47884, 30512, 17792, 20230, 117943, 30369, 113334, 16556, 123231, 105879, 106116, 107707, 57903, 24273, 112649, 124233, 30369, 114305, 116898, 78183, 106644, 30369, 107430, 102351, 114305, 116787, 33541, 123682, 32977, 115847, 30512, 106556, 121930, 101182, 16995, 15682, 103350, 116486, 121930, 20230, 80195, 100472, 17792, 30926, 5486, 101772, 23951, 50667, 111848, 17792, 103234, 101662, 13153, 5486, 114305, 16144, 98897, 55723, 80195, 81742, 71289, 118482, 16144, 40452, 103768, 112167, 113160, 49988, 30512, 109972, 30297, 112950, 21990, 8239, 112, 122502, 66870, 110792, 17792, 30926, 113841, 5486, 101182, 16995, 15682, 70821, 56965, 16144, 114435, 103768, 112167, 16144, 101335, 65299, 102040, 65299, 50667, 114475, 76622, 17701, 106824, 70821, 56965, 114435, 110792, 17792, 30926, 113841, 30512, 109134, 104309, 39926, 5486, 121101, 116043, 23039, 121432, 30512, 104195, 33208, 109768, 107188, 118145, 105110, 100604, 5486, 108895, 95604, 100909, 36785, 106046, 61689, 9174, 71689, 16144, 28542, 30512, 50834, 43514, 104043, 17039, 25333, 81742, 72661, 109466, 31431, 104526, 104127, 16995, 90620, 47884, 106592, 33334, 124730, 56051, 110229, 16556, 123231, 9174, 102159, 104680, 16144, 28542, 109853, 102782, 15024, 109415, 33541, 29295, 5486, 126843, 5486, 122491, 33208, 5486, 66776, 35417, 102781, 102351, 33208, 16144, 109606, 116787, 33541, 9174, 37271, 27479, 16144, 106222, 33563, 117126, 11795, 223, 119254, 77181, 5486, 122491, 33208, 5486, 66776, 35417, 102781, 102351, 33208, 123410, 102677, 100909, 116446, 108086, 33541, 29295, 5486, 66776, 35417, 102781, 102351, 33208, 16144, 39850, 37823, 67075, 29295, 43240, 104680, 101182, 102677, 112973, 127880, 113727, 16556, 123231, 9174, 118899, 16144, 35417, 102781, 102351, 114305, 16144, 119254, 77181, 5486, 35417, 102781, 102351, 109853, 106556, 19732, 103350, 116486, 20230, 106608, 100204, 28713, 17792, 30926, 40452, 30512, 103130, 109315, 5486, 108895, 95604, 112169, 16556, 114305, 23226, 37656, 29295, 103130, 104127, 108086, 33541, 29295, 5486, 35417, 102781, 102351, 16144, 107803, 38641, 19732, 123334, 15682, 31431, 8239, 112, 122502, 108729, 112607, 29295, 44416, 103664, 84389, 106116, 124233, 112586, 96356, 17620, 29295, 118788, 116216, 108086, 5486, 17792, 30926, 94923, 29295, 23039, 30297, 15120, 104063, 16144, 35417, 102781, 102351, 106081, 111186, 16556, 118935, 11883, 84389, 5486, 17792, 30926, 94923, 53508, 100, 58655, 20230, 75146, 109669, 102532, 11743, 116, 110698, 50667, 29295, 104662, 62004, 110071, 5486, 107188, 31431, 51385, 23187, 56051, 114305, 117084, 108086, 33541, 118844, 15682, 5486, 113495, 80195, 81742, 123410, 104309, 77693, 108422, 33121, 16144, 105212, 16144, 22656, 66870, 16144, 5486, 101182, 16995, 15682, 108936, 107338, 34048, 103722, 16144, 121606, 16144, 57903, 24273, 113115, 106608, 54926, 102052, 57980, 85791, 102800, 32149, 110241, 33121, 107515, 29295, 5486, 106222, 33563, 117126, 11795, 223, 119775, 5486, 112424, 16556, 23187, 62004, 109115, 121101, 30512, 5486, 59739, 109709, 118482, 109904, 34171, 105284, 114792, 59739, 117876, 30512, 109134, 102052, 59614, 101860, 15024, 32977, 70141, 102532, 108086, 107515, 9174, 118789, 9554, 102052, 5486, 103983, 20230, 107430, 102351, 16144, 110698, 58318, 109853, 116787, 33541, 29295, 5486, 35417, 102781, 102351, 16144, 126513, 5486, 61826, 108680, 32977, 102782, 15024, 109415, 28713, 105933, 8239, 112, 122502, 108729, 112607, 50667, 16144, 44416, 103664, 29295, 123231, 105879, 5486, 112424, 16556, 110698, 58318, 29295, 23187, 62004, 110071, 5486, 11743, 116, 110698, 29295, 23187, 62004, 110071, 5486, 115143, 102052, 123716, 110698, 16144, 111044, 5486, 101182, 16995, 15682, 18476, 11743, 116, 16144, 35083, 47000, 16144, 20119, 254, 104309, 116898, 85791, 16995, 85791, 44416, 103664, 29295, 123231, 9174, 15120, 24273, 5486, 8107, 35330, 101513, 106391, 77181, 5486, 66776, 35417, 102781, 102351, 33208, 54926, 100909, 112212, 106063, 37026, 16144, 110698, 58318, 124957, 29295, 59739, 124089, 1811, 27452, 116285, 5486, 114731, 106307, 8107, 9039, 20230, 106608, 100204, 28713, 105494, 5486, 101182, 16995, 15682, 106556, 5486, 103350, 116486, 20230, 106608, 100204, 28713, 105494, 5486, 107734, 107430, 16144, 30358, 30813, 20230, 106608, 100204, 28713, 105494, 50667, 30512, 17039, 25333, 107707, 121101, 71289, 121606, 16144, 66378, 34171, 20230, 106608, 100204, 38144, 32335, 109431, 20230, 103214, 64121, 114146, 38144, 104817, 13153, 108608, 5486, 106556, 19732, 103350, 116486, 20230, 75146, 109669, 47884, 62004, 31431, 105714, 111331, 50834, 102334, 70821, 56965, 109904, 110698, 58318, 124957, 16144, 104712, 28190, 30512, 108167, 125639, 100481, 105784, 5486, 108895, 25359, 100204, 33541, 118855, 5486, 109431, 37656, 26854, 123716, 49988, 123716, 35083, 101182, 16995, 15682, 104989, 49988, 104989, 35083, 50667, 115847, 32977, 50834, 43514, 104043, 103768, 112167, 109768, 90620, 107188, 118145, 16995, 76622, 107515, 9174, 53900, 5486, 107430, 102351, 16144, 118935, 11883, 116787, 33541, 29295, 5486, 35417, 102781, 102351, 16144, 107803, 38641, 19732, 5486, 17792, 30926, 94923, 29295, 23039, 30297, 35417, 102781, 102351, 118935, 11883, 106081, 111186, 16144, 127706, 30046, 55031, 118935, 11883, 54926, 1811, 110229, 29295, 121453, 25333, 116537, 5486, 66776, 35417, 102781, 102351, 116787, 33541, 55031, 110371, 105933, 44416, 103664, 119703, 118935, 11883, 29295, 103082, 5486, 53900, 5486, 106556, 20230, 106608, 100204, 28713, 17792, 103234, 30512, 48915, 34048, 55031, 118935, 11883, 54926, 5486, 101182, 16995, 15682, 16325, 108968, 16556, 109215, 26854, 121101, 125334, 38144, 105898, 107803, 20230, 48915, 34048, 55031, 118935, 11883, 109768, 47884, 5486, 108895, 95604, 117271, 29295, 108608, 32149, 106046, 61689, 9174, 15120, 87217, 119448, 16995, 104468, 123334, 15682, 31431, 5486, 66776, 35417, 102781, 102351, 33208, 108176, 118733, 5486, 107430, 102351, 16144, 112073, 115867, 37689, 109375, 119254, 32977, 103130, 104004, 106046, 61689, 9174, 35417, 102781, 102351, 16144, 121606, 109853, 15682, 5486, 126120, 96455, 29295, 109161, 16995, 110162, 27327, 96455, 29295, 109161, 16995, 110162, 125175, 29295, 109161, 16995, 110162, 102677, 25197, 126989, 29295, 29504, 70821, 107809, 20230, 107188, 31431, 23187, 100815, 109768, 104533, 91763, 61689, 113637, 28542, 5486, 66776, 35417, 102781, 102351, 33208, 54926, 100909, 58426, 102944, 29295, 5486, 107430, 102351, 16144, 112073, 98369, 113115, 54926, 112160, 24273, 77181, 27384, 112495, 37689, 109375, 119254, 115717, 5486, 29504, 70821, 16144, 30832, 55031, 91774, 111243, 5486, 109020, 108680, 119448, 47884, 104721, 107800, 102189, 26854, 121906, 95604, 30832, 16556, 91774, 100481, 90620, 105784, 16144, 111769, 32149, 106046, 76947, 108086, 33541, 9174, 77693, 55031, 5486, 35417, 9554, 125175, 30512, 104908, 54926, 121606, 16144, 57903, 24273, 109853, 116787, 33541, 9174, 125525, 121101, 117824, 30297, 121606, 16144, 57903, 24273, 19732, 103801, 39926, 15682, 110745, 33857, 26854, 103350, 102923, 121101, 117824, 30297, 121606, 102677, 104468, 5486, 126843, 106222, 33563, 117126, 11795, 223, 120950, 48915, 34048, 16144, 121606, 116825, 47884, 76947, 71289, 121118, 116233, 101832, 109900, 55031, 122270, 5486, 118899, 77181, 118326, 107338, 122491, 71289, 119389, 122491, 104309, 116825, 47884, 76947, 125338, 17129, 16995, 31431, 79721, 109900, 103378, 17792, 30926, 101182, 16995, 15682, 121101, 103768, 112167, 50667, 16144, 115289, 122279, 26854, 117271, 115847, 29295, 108608, 104466, 102677, 100909, 116787, 33541, 9174, 112424, 16556, 23187, 62004, 109115, 121101, 30512, 118326, 107338, 122491, 71289, 101182, 16995, 15682, 119389, 25333, 116537, 23039, 30297, 16144, 119627, 5486, 112167, 60632, 118482, 77181, 124897, 105879, 5486, 70821, 56965, 110792, 114300, 106106, 116690, 102052, 59614, 101860, 15024, 32977, 124897, 1811, 109860, 127105, 5486, 70821, 56965, 109904, 17792, 30926, 40452, 110162, 121101, 103768, 112167, 30512, 16995, 111201, 121846, 20230, 109768, 47884, 32149, 115847, 29295, 107693, 117084, 109749, 32149, 106046, 61689, 1811, 121101, 13153, 116486, 29295, 109161, 118145, 101182, 16995, 15682, 107430, 102351, 16144, 13153, 116486, 29295, 109161, 118145, 5486, 25333, 23226, 37656, 113468, 5486, 105408, 24273, 32977, 33334, 113727, 117084, 33334, 102204, 33541, 104466, 25766, 225, 82533, 30813, 58942, 57903, 50928, 30369, 121906, 95604, 83799, 16556, 80988, 239, 105714, 107462, 90620, 47884, 5486, 108895, 95604, 100909, 36785, 119150, 116233, 101832, 9174, 77693, 55031, 5486, 22649, 30926, 101544, 50667, 15682, 27384, 113524, 55031, 49988, 51609, 107001, 105879, 57903, 33541, 55031, 5486, 56051, 29295, 76947, 5486, 101275, 116486, 29295, 109161, 118145, 34226, 10287, 255, 32977, 57903, 50928, 30369, 5486, 108895, 95604, 16906, 111, 102800, 121606, 117657, 102677, 33334, 113727, 105321, 125651, 118844, 109853, 15682, 123085, 8107, 35330, 101513, 106391, 30512, 121906, 95604, 126238, 105714, 99750, 114792, 100472, 5486, 106045, 104063, 16144, 126574, 126120, 96455, 109904, 121606, 117657, 102677, 118733, 33334, 113727, 36785, 102677, 100909, 116787, 33541, 55031, 5486, 108729, 9554, 102052, 57980, 85791, 102800, 106046, 103836, 33671, 30537, 38641, 9174, 114626, 115717, 33541, 29295, 5486, 8107, 35330, 109606, 15682, 29504, 70821, 16144, 92877, 123470, 104654, 16144, 118958, 101911, 105321, 125651, 125939, 18904, 5486, 29504, 70821, 16144, 112073, 103826, 29295, 5486, 37046, 104680, 16144, 92877, 74482, 15682, 27384, 121313, 32149, 112160, 33014, 5486, 29504, 71289, 106222, 33563, 117126, 11795, 223, 15682, 99849, 30512, 71289, 103836, 104865, 19732, 5486, 16906, 111, 102800, 105856, 106053, 16144, 118146, 70141, 76622, 100934, 32149, 119150, 16144, 125651, 1811, 56051, 29295, 76947, 5486, 126843, 5486, 108608, 103378, 103856, 23538, 20230, 121101, 119254, 114950, 16556, 109606, 28542, 30512, 23226, 106594, 109768, 50834, 106272, 5486, 50834, 43514, 104043, 56051 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33541, 19732, 115515, 18904, 16144, 25333, 81742, 77181, 121453, 121606, 30512, 66776, 35417, 102781, 102351, 25287, 16144, 35417, 122491, 117408, 105908, 27384, 112495, 122489, 28542, 16556, 123231, 119520, 5486, 35417, 9554, 8107, 35330, 112649, 124233, 30369, 112686, 75513, 113160, 49988, 5486, 40452, 113160, 49988, 15682, 113801, 106307, 50834, 29504, 29295, 109972, 30297, 121906, 126020, 17129, 39926, 5486, 35417, 9554, 8107, 35330, 114305, 30512, 50834, 43514, 104043, 45144, 227, 69978, 15024, 5486, 35417, 9554, 8107, 35330, 109853, 15682, 125525, 113160, 49988, 123017, 19732, 20230, 51385, 23187, 109904, 103768, 112167, 30512, 111629, 30369, 102677, 27384, 25580, 29172, 15682, 113801, 106307, 50834, 109205, 69978, 107001, 5486, 108895, 95604, 118733, 77121, 16995, 79721, 9174, 25580, 18904, 16144, 25333, 81742, 16144, 107693, 26854, 120098, 15682, 112160, 59739, 15682, 5486, 114640, 122074, 121432, 5486, 121101, 116043, 23039, 121432, 5486, 110423, 112984, 121432, 16144, 112607, 48249, 5486, 113160, 49988, 30512, 50834, 43514, 104043, 17620, 106529, 39926, 31958, 105184, 113115, 106608, 109768, 47884, 1811, 41920, 59739, 30832, 15682, 5486, 33563, 117126, 42506, 30512, 26955, 254, 20834, 54926, 101307, 33563, 117126, 30046, 101182, 16995, 15682, 118482, 36668, 50667, 16144, 37689, 91774, 30512, 121101, 103768, 112167, 20230, 95543, 106482, 109768, 90620, 47884, 1811, 108895, 95604, 28542, 15682, 17039, 102800, 37271, 18904, 16144, 25333, 81742, 105352, 95543, 106482, 110731, 110229, 16556, 123231, 9174, 19361, 109375, 30046, 38093, 104760, 16144, 108167, 123011, 62004, 102083, 28713, 103801, 39926, 15682, 115515, 18904, 16144, 102433, 8107, 35330, 101513, 106391, 25333, 81742, 115847, 107294, 50834, 17129, 39926, 5486, 33671, 16144, 64803, 118821, 37689, 91774, 30512, 47000, 107726, 100481, 90620, 102532, 108086, 33541, 9174, 103983, 15682, 5486, 114640, 122074, 121432, 109853, 116787, 33541, 29295, 123085, 8107, 35330, 101513, 106391, 25333, 81742, 77181, 121453, 25333, 116537, 22649, 30926, 38093, 30512, 102332, 107441, 5486, 22649, 30926, 101544, 15120, 13372, 5486, 106966, 22649, 30926, 101544, 15120, 13372, 5486, 40053, 114731, 16144, 22649, 30926, 103305, 13372, 23897, 32943, 106116, 102717, 111201, 108008, 114731, 22649, 30926, 64803, 13372, 23897, 32943, 30512, 22324, 47884, 102677, 100909, 117084, 108086, 33541, 1811, 70821, 56965, 16144, 121450, 72661, 5486, 61337, 48915, 18655, 126233, 107734, 114305, 104309, 30512, 108167, 125639, 17129, 39926, 5486, 48915, 34048, 16144, 30832, 55031, 18655, 126233, 107734, 38093, 30512, 116696, 48552, 109768, 47884, 115847, 29295, 107188, 31431, 108936, 9554, 117084, 108086, 33541, 29295, 123085, 8107, 35330, 101513, 106391, 72661, 110371, 108008, 114731, 22649, 30926, 123160, 114305, 124905, 107462, 90620, 102532, 5486, 109431, 102769, 26854, 48915, 34048, 114363, 103722, 46729, 16144, 74843, 55723, 30512, 50928, 30369, 100909, 112212, 5486, 114640, 122074, 121432, 16144, 104195, 33208, 30512, 50834, 43514, 104043, 71289, 107462, 90620, 105898, 16995, 106046, 76947, 108086, 33541, 9174, 53900, 121453, 122491, 102052, 103768, 112167, 107624, 104760, 38093, 30512, 102332, 76622, 5486, 33563, 117126, 42506, 109972, 106529, 30046, 71289, 8107, 35330, 101682, 110698, 112919, 37689, 91774, 30512, 121101, 103768, 112167, 20230, 95543, 106482, 123410, 5486, 108895, 26854, 76947, 108086, 33541, 29295, 5486, 106222, 33563, 117126, 11795, 223, 72661, 5486, 114565, 120850, 8107, 105140, 55031, 103350, 15682, 106222, 33563, 117126, 118482, 103768, 112167, 107624, 104760, 38093, 30512, 102332, 76622, 17129, 39926, 123085, 8107, 35330, 101513, 106391, 72661, 42016, 103826, 26854, 108167, 121247, 16995, 30512, 37271, 74482, 109768, 90620, 47884, 115847, 30512, 104195, 47884, 103192, 104127, 16995, 104533, 107404, 116787, 33541, 29295, 106116, 117271, 15682, 25333, 81742, 107809, 109156, 76947, 108086, 33541, 9174, 106135, 20230, 5486, 110423, 112984, 121432, 109853, 116787, 33541, 29295, 5486, 127177, 118326, 107338, 122491, 104309, 72661, 5486, 110423, 30926, 111848, 121101, 110423, 112984, 101182, 16995, 15682, 38093, 82420, 110423, 112984, 5486, 48915, 34048, 16144, 38093, 82420, 110423, 112984, 17792, 101182, 16995, 15682, 110423, 112984, 122491, 121906, 95604, 102944, 111848, 110423, 112984, 29295, 23039, 123671, 33541, 29295, 110371, 28542, 32977, 37271, 18904, 16144, 25333, 81742, 20230, 109466, 31431, 104526, 17129, 115032, 5486, 108895, 95604, 100909, 38641, 1811, 122270, 112950, 21990, 8239, 112, 122502, 27384, 113524, 16144, 17039, 122491, 113115, 54926, 123113, 33014, 44416, 32977, 64531, 104874, 116216, 108086, 33541, 105879, 110371, 28542, 30512, 122270, 37689, 30512, 11883, 16995, 100481, 90620, 105898, 16995, 5486, 108895, 91763, 107462, 104533, 107404, 38641, 9174, 109790, 20230, 5486, 121101, 116043, 23039, 109853, 116787, 33541, 29295, 5486, 109431, 37656, 32149, 59739, 126120, 96455, 109904, 121101, 116043, 23039, 30512, 50834, 43514, 104043, 105184, 33563, 109768, 47884, 103846, 102052, 5486, 102971, 91077, 16144, 110229, 106116, 43240, 47884, 30512, 17792, 20230, 117943, 30369, 113334, 16556, 123231, 105879, 106116, 107707, 57903, 24273, 112649, 124233, 30369, 114305, 116898, 78183, 106644, 30369, 107430, 102351, 114305, 116787, 33541, 123682, 32977, 115847, 30512, 106556, 121930, 101182, 16995, 15682, 103350, 116486, 121930, 20230, 80195, 100472, 17792, 30926, 5486, 101772, 23951, 50667, 111848, 17792, 103234, 101662, 13153, 5486, 114305, 16144, 98897, 55723, 80195, 81742, 71289, 118482, 16144, 40452, 103768, 112167, 113160, 49988, 30512, 109972, 30297, 112950, 21990, 8239, 112, 122502, 66870, 110792, 17792, 30926, 113841, 5486, 101182, 16995, 15682, 70821, 56965, 16144, 114435, 103768, 112167, 16144, 101335, 65299, 102040, 65299, 50667, 114475, 76622, 17701, 106824, 70821, 56965, 114435, 110792, 17792, 30926, 113841, 30512, 109134, 104309, 39926, 5486, 121101, 116043, 23039, 121432, 30512, 104195, 33208, 109768, 107188, 118145, 105110, 100604, 5486, 108895, 95604, 100909, 36785, 106046, 61689, 9174, 71689, 16144, 28542, 30512, 50834, 43514, 104043, 17039, 25333, 81742, 72661, 109466, 31431, 104526, 104127, 16995, 90620, 47884, 106592, 33334, 124730, 56051, 110229, 16556, 123231, 9174, 102159, 104680, 16144, 28542, 109853, 102782, 15024, 109415, 33541, 29295, 5486, 126843, 5486, 122491, 33208, 5486, 66776, 35417, 102781, 102351, 33208, 16144, 109606, 116787, 33541, 9174, 37271, 27479, 16144, 106222, 33563, 117126, 11795, 223, 119254, 77181, 5486, 122491, 33208, 5486, 66776, 35417, 102781, 102351, 33208, 123410, 102677, 100909, 116446, 108086, 33541, 29295, 5486, 66776, 35417, 102781, 102351, 33208, 16144, 39850, 37823, 67075, 29295, 43240, 104680, 101182, 102677, 112973, 127880, 113727, 16556, 123231, 9174, 118899, 16144, 35417, 102781, 102351, 114305, 16144, 119254, 77181, 5486, 35417, 102781, 102351, 109853, 106556, 19732, 103350, 116486, 20230, 106608, 100204, 28713, 17792, 30926, 40452, 30512, 103130, 109315, 5486, 108895, 95604, 112169, 16556, 114305, 23226, 37656, 29295, 103130, 104127, 108086, 33541, 29295, 5486, 35417, 102781, 102351, 16144, 107803, 38641, 19732, 123334, 15682, 31431, 8239, 112, 122502, 108729, 112607, 29295, 44416, 103664, 84389, 106116, 124233, 112586, 96356, 17620, 29295, 118788, 116216, 108086, 5486, 17792, 30926, 94923, 29295, 23039, 30297, 15120, 104063, 16144, 35417, 102781, 102351, 106081, 111186, 16556, 118935, 11883, 84389, 5486, 17792, 30926, 94923, 53508, 100, 58655, 20230, 75146, 109669, 102532, 11743, 116, 110698, 50667, 29295, 104662, 62004, 110071, 5486, 107188, 31431, 51385, 23187, 56051, 114305, 117084, 108086, 33541, 118844, 15682, 5486, 113495, 80195, 81742, 123410, 104309, 77693, 108422, 33121, 16144, 105212, 16144, 22656, 66870, 16144, 5486, 101182, 16995, 15682, 108936, 107338, 34048, 103722, 16144, 121606, 16144, 57903, 24273, 113115, 106608, 54926, 102052, 57980, 85791, 102800, 32149, 110241, 33121, 107515, 29295, 5486, 106222, 33563, 117126, 11795, 223, 119775, 5486, 112424, 16556, 23187, 62004, 109115, 121101, 30512, 5486, 59739, 109709, 118482, 109904, 34171, 105284, 114792, 59739, 117876, 30512, 109134, 102052, 59614, 101860, 15024, 32977, 70141, 102532, 108086, 107515, 9174, 118789, 9554, 102052, 5486, 103983, 20230, 107430, 102351, 16144, 110698, 58318, 109853, 116787, 33541, 29295, 5486, 35417, 102781, 102351, 16144, 126513, 5486, 61826, 108680, 32977, 102782, 15024, 109415, 28713, 105933, 8239, 112, 122502, 108729, 112607, 50667, 16144, 44416, 103664, 29295, 123231, 105879, 5486, 112424, 16556, 110698, 58318, 29295, 23187, 62004, 110071, 5486, 11743, 116, 110698, 29295, 23187, 62004, 110071, 5486, 115143, 102052, 123716, 110698, 16144, 111044, 5486, 101182, 16995, 15682, 18476, 11743, 116, 16144, 35083, 47000, 16144, 20119, 254, 104309, 116898, 85791, 16995, 85791, 44416, 103664, 29295, 123231, 9174, 15120, 24273, 5486, 8107, 35330, 101513, 106391, 77181, 5486, 66776, 35417, 102781, 102351, 33208, 54926, 100909, 112212, 106063, 37026, 16144, 110698, 58318, 124957, 29295, 59739, 124089, 1811, 27452, 116285, 5486, 114731, 106307, 8107, 9039, 20230, 106608, 100204, 28713, 105494, 5486, 101182, 16995, 15682, 106556, 5486, 103350, 116486, 20230, 106608, 100204, 28713, 105494, 5486, 107734, 107430, 16144, 30358, 30813, 20230, 106608, 100204, 28713, 105494, 50667, 30512, 17039, 25333, 107707, 121101, 71289, 121606, 16144, 66378, 34171, 20230, 106608, 100204, 38144, 32335, 109431, 20230, 103214, 64121, 114146, 38144, 104817, 13153, 108608, 5486, 106556, 19732, 103350, 116486, 20230, 75146, 109669, 47884, 62004, 31431, 105714, 111331, 50834, 102334, 70821, 56965, 109904, 110698, 58318, 124957, 16144, 104712, 28190, 30512, 108167, 125639, 100481, 105784, 5486, 108895, 25359, 100204, 33541, 118855, 5486, 109431, 37656, 26854, 123716, 49988, 123716, 35083, 101182, 16995, 15682, 104989, 49988, 104989, 35083, 50667, 115847, 32977, 50834, 43514, 104043, 103768, 112167, 109768, 90620, 107188, 118145, 16995, 76622, 107515, 9174, 53900, 5486, 107430, 102351, 16144, 118935, 11883, 116787, 33541, 29295, 5486, 35417, 102781, 102351, 16144, 107803, 38641, 19732, 5486, 17792, 30926, 94923, 29295, 23039, 30297, 35417, 102781, 102351, 118935, 11883, 106081, 111186, 16144, 127706, 30046, 55031, 118935, 11883, 54926, 1811, 110229, 29295, 121453, 25333, 116537, 5486, 66776, 35417, 102781, 102351, 116787, 33541, 55031, 110371, 105933, 44416, 103664, 119703, 118935, 11883, 29295, 103082, 5486, 53900, 5486, 106556, 20230, 106608, 100204, 28713, 17792, 103234, 30512, 48915, 34048, 55031, 118935, 11883, 54926, 5486, 101182, 16995, 15682, 16325, 108968, 16556, 109215, 26854, 121101, 125334, 38144, 105898, 107803, 20230, 48915, 34048, 55031, 118935, 11883, 109768, 47884, 5486, 108895, 95604, 117271, 29295, 108608, 32149, 106046, 61689, 9174, 15120, 87217, 119448, 16995, 104468, 123334, 15682, 31431, 5486, 66776, 35417, 102781, 102351, 33208, 108176, 118733, 5486, 107430, 102351, 16144, 112073, 115867, 37689, 109375, 119254, 32977, 103130, 104004, 106046, 61689, 9174, 35417, 102781, 102351, 16144, 121606, 109853, 15682, 5486, 126120, 96455, 29295, 109161, 16995, 110162, 27327, 96455, 29295, 109161, 16995, 110162, 125175, 29295, 109161, 16995, 110162, 102677, 25197, 126989, 29295, 29504, 70821, 107809, 20230, 107188, 31431, 23187, 100815, 109768, 104533, 91763, 61689, 113637, 28542, 5486, 66776, 35417, 102781, 102351, 33208, 54926, 100909, 58426, 102944, 29295, 5486, 107430, 102351, 16144, 112073, 98369, 113115, 54926, 112160, 24273, 77181, 27384, 112495, 37689, 109375, 119254, 115717, 5486, 29504, 70821, 16144, 30832, 55031, 91774, 111243, 5486, 109020, 108680, 119448, 47884, 104721, 107800, 102189, 26854, 121906, 95604, 30832, 16556, 91774, 100481, 90620, 105784, 16144, 111769, 32149, 106046, 76947, 108086, 33541, 9174, 77693, 55031, 5486, 35417, 9554, 125175, 30512, 104908, 54926, 121606, 16144, 57903, 24273, 109853, 116787, 33541, 9174, 125525, 121101, 117824, 30297, 121606, 16144, 57903, 24273, 19732, 103801, 39926, 15682, 110745, 33857, 26854, 103350, 102923, 121101, 117824, 30297, 121606, 102677, 104468, 5486, 126843, 106222, 33563, 117126, 11795, 223, 120950, 48915, 34048, 16144, 121606, 116825, 47884, 76947, 71289, 121118, 116233, 101832, 109900, 55031, 122270, 5486, 118899, 77181, 118326, 107338, 122491, 71289, 119389, 122491, 104309, 116825, 47884, 76947, 125338, 17129, 16995, 31431, 79721, 109900, 103378, 17792, 30926, 101182, 16995, 15682, 121101, 103768, 112167, 50667, 16144, 115289, 122279, 26854, 117271, 115847, 29295, 108608, 104466, 102677, 100909, 116787, 33541, 9174, 112424, 16556, 23187, 62004, 109115, 121101, 30512, 118326, 107338, 122491, 71289, 101182, 16995, 15682, 119389, 25333, 116537, 23039, 30297, 16144, 119627, 5486, 112167, 60632, 118482, 77181, 124897, 105879, 5486, 70821, 56965, 110792, 114300, 106106, 116690, 102052, 59614, 101860, 15024, 32977, 124897, 1811, 109860, 127105, 5486, 70821, 56965, 109904, 17792, 30926, 40452, 110162, 121101, 103768, 112167, 30512, 16995, 111201, 121846, 20230, 109768, 47884, 32149, 115847, 29295, 107693, 117084, 109749, 32149, 106046, 61689, 1811, 121101, 13153, 116486, 29295, 109161, 118145, 101182, 16995, 15682, 107430, 102351, 16144, 13153, 116486, 29295, 109161, 118145, 5486, 25333, 23226, 37656, 113468, 5486, 105408, 24273, 32977, 33334, 113727, 117084, 33334, 102204, 33541, 104466, 25766, 225, 82533, 30813, 58942, 57903, 50928, 30369, 121906, 95604, 83799, 16556, 80988, 239, 105714, 107462, 90620, 47884, 5486, 108895, 95604, 100909, 36785, 119150, 116233, 101832, 9174, 77693, 55031, 5486, 22649, 30926, 101544, 50667, 15682, 27384, 113524, 55031, 49988, 51609, 107001, 105879, 57903, 33541, 55031, 5486, 56051, 29295, 76947, 5486, 101275, 116486, 29295, 109161, 118145, 34226, 10287, 255, 32977, 57903, 50928, 30369, 5486, 108895, 95604, 16906, 111, 102800, 121606, 117657, 102677, 33334, 113727, 105321, 125651, 118844, 109853, 15682, 123085, 8107, 35330, 101513, 106391, 30512, 121906, 95604, 126238, 105714, 99750, 114792, 100472, 5486, 106045, 104063, 16144, 126574, 126120, 96455, 109904, 121606, 117657, 102677, 118733, 33334, 113727, 36785, 102677, 100909, 116787, 33541, 55031, 5486, 108729, 9554, 102052, 57980, 85791, 102800, 106046, 103836, 33671, 30537, 38641, 9174, 114626, 115717, 33541, 29295, 5486, 8107, 35330, 109606, 15682, 29504, 70821, 16144, 92877, 123470, 104654, 16144, 118958, 101911, 105321, 125651, 125939, 18904, 5486, 29504, 70821, 16144, 112073, 103826, 29295, 5486, 37046, 104680, 16144, 92877, 74482, 15682, 27384, 121313, 32149, 112160, 33014, 5486, 29504, 71289, 106222, 33563, 117126, 11795, 223, 15682, 99849, 30512, 71289, 103836, 104865, 19732, 5486, 16906, 111, 102800, 105856, 106053, 16144, 118146, 70141, 76622, 100934, 32149, 119150, 16144, 125651, 1811, 56051, 29295, 76947, 5486, 126843, 5486, 108608, 103378, 103856, 23538, 20230, 121101, 119254, 114950, 16556, 109606, 28542, 30512, 23226, 106594, 109768, 50834, 106272, 5486, 50834, 43514, 104043, 56051 ]
[ 51385, 23187, 109904, 33014, 44416, 30512, 103214, 104127, 16995, 90620, 105898, 16995, 9174, 85701, 29295, 37271, 18904, 16144, 102433, 8107, 35330, 101513, 106391, 25333, 81742, 102677, 100909, 116787, 33541, 55031, 5486, 103856, 47884, 85701, 30512, 105408, 24273, 16144, 109088, 107542, 48634, 16556, 103350, 102321, 109768, 90620, 102532, 5486, 29504, 70821, 30512, 126843, 51385, 64209, 108608, 104466, 109768, 90620, 105898, 16995, 123405, 110027, 38144, 5486, 121101, 103768, 112167, 117824, 30297, 104468, 106222, 33563, 117126, 11795, 223, 16144, 107430, 102351, 16144, 112073, 98369, 116787, 33541, 55031, 110371, 112073, 98369, 32977, 5486, 117876, 29295, 37271, 104405, 109020, 104865, 115408, 16144, 80195, 75267, 15682, 104405, 109020, 104865, 19732, 5486, 108008, 20230, 127408, 30512, 112672, 69978, 103836, 113334, 16556, 121906, 95604, 28542, 32977, 50834, 43514, 104043, 5486, 117271, 108608, 106592, 103856, 47884, 20379, 17663, 109900, 113468, 5486, 107430, 102351, 16144, 112073, 98369, 32977, 120208, 30512, 17039, 28713, 116446, 121453, 121606, 121254, 107441, 5486, 108608, 103378, 126574, 44971, 115882, 113245, 17039, 121606, 111363, 121101, 16144, 66953, 20251, 114483, 108981, 29295, 108608, 104466, 109768, 90620, 47884, 109088, 121837, 30512, 5486, 105408, 24273, 102052, 33334, 124730, 103082, 104984, 19732, 113727, 100934, 33671, 30537, 16556, 123231, 9174, 102131, 95604, 118733, 5486, 112371, 104328, 5486, 105408, 24273, 107898, 32149, 33121, 17129, 39926, 15682, 5486, 35083, 38574, 16144, 109088, 55487, 101557, 106, 30512, 16995, 90620, 102532, 25333, 81742, 29295, 116166, 78434, 104466, 115408, 103306, 15682, 112622, 76947, 71289, 64121, 107515, 9174, 22656, 9080, 15682, 120953, 32977, 97135, 16995, 79721, 59459, 105567, 46034, 23954, 2, 19, 198, 109298, 162, 104, 119, 101129, 114373, 101544, 97135, 16995, 79721, 9174, 33671, 20230, 5486, 107859, 111059, 121846, 17792, 107898, 124730, 102334, 78434, 9174, 2, 20, 198, 109298, 107859, 111059, 121846, 17792, 33334, 15682, 101200, 123231, 9174, 90620, 16995, 17129, 109088, 126362, 16995, 90620, 50834, 79721, 102433, 106613, 108638, 89046, 16144, 107859, 111059, 19732, 102782, 78434, 9174, 9080, 48154, 85791, 105755, 5486, 105408, 24273, 102052, 115408, 67645, 102944, 112415, 107294, 50834, 17129, 39926, 102987, 110460, 26854, 109088, 122521, 30512, 83812, 250, 31431, 17129, 39926, 5486, 23226, 107436, 109088, 107591, 30512, 102782, 15024, 109415, 33541, 118855, 5486, 108895, 95604, 75267, 121960, 86127, 67645, 102944, 113727, 24273, 30512, 102782, 15024, 43032, 103854, 107726, 100481, 90620, 47884, 101513, 38093, 30512, 83812, 250, 31431, 17129, 39926, 5486, 99750, 118835, 30512, 102782, 15024, 109415, 33541, 9174, 90620, 16995, 17129, 117758, 118741, 43032, 15682, 116898, 78183, 81219, 118482, 36668, 5486, 33563, 117126, 30046, 109972, 106529, 121906, 95604, 80195, 75267, 55031, 102404, 78244, 30512, 107726, 100481, 90620, 105898, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 37271, 18904, 16144, 105212, 29172, 81742, 16144, 106222, 33563, 117126, 11795, 223, 119254, 97518, 89046, 25333, 81742, 110371, 16325, 102052, 5486, 110577, 20230, 106222, 33563, 117126, 11795, 223, 16556, 16995, 85791, 16995, 85791, 108167, 103214, 17129, 106824, 108086, 33541, 119254, 30512, 122270, 25580, 103130, 124545, 121906, 95604, 105933, 44915, 29295, 96412, 17129, 115032, 102677, 105104, 30297, 20230, 78698, 107290, 108086, 17129, 39926, 5486, 108729, 112535, 83812, 249, 13153, 30512, 102334, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 51330, 114667, 5486, 36668, 26854, 28542, 15682, 115847, 55031, 102782, 15024, 43032, 103854, 33541, 64803, 28542, 20230, 31634, 103664, 107001, 16144, 111769, 32149, 102677, 105104, 30297, 20230, 91763, 76947, 108086, 33541, 115397, 59739, 15682, 115847, 103296, 71689, 20230, 16995, 78183, 81219, 14167, 100, 65854, 78228, 70141, 5486, 116690, 112919, 80195, 75267, 20230, 80195, 100472, 119254, 108176, 108995, 19732, 125494, 107001, 102677, 28542, 29295, 15120, 59739, 116787, 33541, 1811, 41920, 59739, 30832, 29295, 5486, 121606, 103306, 16144, 123274, 106045, 104063, 29295, 104195, 33208, 107001, 127303, 103950, 102677, 100909, 1811, 46091, 59739, 30832, 29295, 5486, 121101, 103768, 112167, 110162, 121101, 16144, 30250, 224, 23039, 123863, 108950, 31958, 34171, 110371, 108950, 31958, 34171, 29295, 85701, 103296, 71689, 20230, 45736, 115464, 127303, 103950, 102677, 28542, 116787, 33541, 1811, 64803, 59739, 30832, 29295, 5486, 121101, 16144, 126120, 96455, 33208, 5486, 47260, 71634, 16144, 109431, 37656, 33208, 115847, 29295, 15120, 114050, 103130, 104004, 16144, 111769, 32149, 19732, 78698, 105262, 28542, 116787, 33541, 9174, 102159, 103283, 20230, 111983, 102780, 107726, 100481, 90620, 50834, 33541, 19732, 112160, 59739, 118322, 14167, 100, 65854, 78228, 70141, 102677, 28542, 116787, 33541, 123682, 32977, 115515, 18904, 16144, 25333, 81742, 112212, 33541, 19732, 5486, 25333, 81742, 16144, 110446, 102397, 40089, 16556, 123231, 29295, 5486, 29504, 70821, 5486, 101307, 33563, 117126, 30046, 127253, 118482, 36668, 123160, 116690, 112919, 37689, 91774, 30512, 121101, 20230, 95543, 106482, 124545, 124122, 116876, 22324, 30512, 102332, 105784, 5486, 108895, 95604, 105104, 30297, 20230, 106045, 23187, 30512, 116216, 108086, 33541, 9174, 106222, 33563, 117126, 11795, 223, 15682, 5486, 112844, 17129, 72661, 103470, 5486, 101307, 33563, 117126, 30046, 71289, 118482, 36668, 50667, 16144, 116690, 30046, 116898, 78183, 106644, 30369, 14167, 100, 65854, 113115, 54926, 125175, 30512, 103350, 102923, 54926, 101513, 97518, 116787, 33541, 123682, 32977, 5486, 102321, 103397, 77181, 5486, 106222, 33563, 117126, 118482, 103768, 112167, 107624, 104760, 38093, 123160, 75267, 29295, 102332, 76622, 124195, 108086, 17129, 39926, 5486, 110924, 16556, 116690, 112919, 37689, 91774, 30512, 102782, 15024, 43032, 103854, 30369, 101513, 38093, 107407, 113334, 116787, 33541, 123682, 32977, 115515, 18904, 15682, 112424, 72661, 76947, 50834, 43514, 127842, 5486, 48915, 34048, 17792, 103234, 30512, 22649, 30926, 20230, 76706, 11883, 54926, 5486, 101182, 16995, 15682, 101307, 33563, 117126, 30046, 50667, 16144, 37689, 91774, 30512, 104655, 47884, 75267, 30512, 102332, 105784, 5486, 108895, 95604, 105908, 59614, 116156, 112535, 112424, 20230, 109466, 31431, 104526, 17129, 104028, 100909, 115717, 33541, 19732, 116898, 78183, 81219, 101182, 125231, 110783, 20230, 60358, 109669, 47884, 102944, 108176, 32149, 102677, 105104, 30297, 20230, 78698, 107290, 108086, 33541, 9174, 14167, 100, 65854, 78228, 70141, 30512, 17599, 117, 104792, 54926, 113009, 5486, 112950, 21990, 8239, 112, 122502, 27384, 113524, 101182, 16995, 15682, 101513, 106391, 16144, 22649, 30926, 101544, 104309, 37823, 117697, 11972, 108176, 24273, 104680, 20230, 110371, 28542, 16144, 37689, 109375, 30512, 50834, 43514, 127842, 69978, 76947, 103768, 112167, 107001, 101200, 33334, 124730, 30512, 102334, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 41920, 59739, 118322, 123274, 106045, 104063, 16144, 104195, 33208, 102677, 28542, 16556, 123231, 123682, 32977, 115847, 103296, 16144, 106222, 33563, 117126, 11795, 223, 16144, 119254, 16556, 5486, 120351, 59739, 32149, 16937, 118223, 30926, 29295, 108008, 20230, 119448, 47884, 125119, 76947, 108086, 33541, 105879, 110371, 28542, 109853, 5486, 108008, 20230, 101083, 107809, 16144, 97518, 64209, 29295, 126574, 28542, 111769, 32149, 102677, 105104, 30297, 20230, 91763, 76947, 108086, 33541, 1811, 114652, 64467, 112419, 84389, 33541, 29295, 5486, 106222, 33563, 117126, 11795, 223, 15682, 32943, 70141, 50834, 16556, 119962, 109349, 244, 109904, 121606, 33014, 105284, 16556, 5486, 121606, 40452, 32977, 109431, 102769, 120650, 78183, 106824, 105898, 107118, 120267, 29295, 106956, 121906, 95604, 105104, 30297, 20230, 104736, 109375, 103792, 113334, 116787, 33541, 123682, 32977, 115515, 18904, 16144, 25333, 81742, 107809, 102052, 5486, 8107, 35330, 121568, 108134, 16144, 123050, 123863, 106045, 23187, 115847, 29295, 116718, 20230, 109466, 31431, 104526, 17129, 106824, 108086, 33541, 15024, 5486, 122270, 5486, 38093, 82420, 110423, 112984, 17792, 111848, 48915, 34048, 110423, 112984, 115847, 29295, 104577, 102781, 109669, 76622, 125398, 28542, 15682, 25580, 103130, 127303, 103950, 32149, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 8107, 35330, 101513, 106391, 16144, 9080, 40053, 16144, 121101, 110423, 112984, 115847, 117824, 30297, 104468, 25333, 81742, 103732, 104984, 110423, 30926, 108176, 32149, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 29295, 5486, 101307, 33563, 117126, 30046, 101182, 16995, 15682, 118482, 36668, 20230, 126693, 5486, 110423, 30926, 29295, 50834, 43514, 127842, 9080, 40053, 16144, 107430, 113160, 30512, 28873, 28713, 109768, 90620, 47884, 104466, 5486, 66378, 20230, 58426, 118326, 34171, 30512, 16995, 111201, 118551, 54926, 32149, 110371, 28542, 20230, 37689, 30512, 11883, 102532, 103768, 112167, 30512, 109768, 90620, 105898, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 46091, 59739, 118322, 108950, 31958, 34171, 16144, 105184, 33563, 102677, 28542, 16556, 123231, 123682, 32977, 5486, 29504, 70821, 16144, 22023, 117943, 30512, 18904, 109095, 124545, 124122, 107693, 26854, 120098, 111769, 32149, 19732, 25359, 100204, 33541, 1811, 108950, 31958, 34171, 16144, 105184, 33563, 102677, 109606, 15682, 5486, 101513, 106391, 16144, 25333, 9554, 83799, 107328, 29295, 67645, 120950, 83799, 101983, 103950, 107173, 17599, 117, 104792, 109768, 107188, 118145, 105110, 100604, 111681, 104482, 16556, 123231, 123682, 32977, 5486, 25333, 81742, 102052, 5486, 110423, 112984, 120270, 102181, 101182, 16995, 15682, 121101, 103350, 116486, 16144, 107624, 95001, 109853, 35417, 21405, 54926, 121906, 95604, 105933, 30926, 120910, 29295, 109466, 31431, 104526, 17129, 106824, 108086, 33541, 1811, 103350, 104983, 16144, 103768, 112167, 20230, 40265, 28713, 76947, 5486, 66378, 20230, 29504, 70821, 20230, 78183, 107277, 126172, 47884, 106759, 21105, 123, 126172, 16995, 83799, 113245, 108134, 16144, 87447, 20379, 5486, 41642, 53283, 115847, 126130, 124730, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 64803, 59739, 118322, 121101, 16144, 126120, 96455, 33208, 5486, 47260, 71634, 16144, 109431, 37656, 33208, 110371, 28542, 107294, 50834, 17129, 39926, 15682, 5486, 8107, 35330, 101513, 106391, 16144, 102404, 102780, 20230, 104983, 39926, 17039, 28713, 20230, 23226, 107436, 107430, 102351, 16144, 118935, 11883, 29295, 23039, 126832, 100909, 108176, 113334, 16556, 123231, 123682, 32977, 108048, 103296, 16144, 122756, 5486, 121101, 16144, 40862, 22649, 33208, 5486, 88356, 104817, 13153, 108048, 30512, 119870, 17129, 107800, 124417, 120915, 33208, 16144, 17599, 117, 104792, 5486, 108895, 95604, 100909, 113468, 56965, 30177, 34048, 103722, 16144, 22398, 37823, 91062, 33208, 115847, 29295, 31634, 109311, 116216, 108086, 33541, 125939, 18904, 5486, 108895, 56051, 46034, 110480, 30512, 119870, 17129, 107290, 8107, 35330, 103768, 112167, 121606, 30512, 88356, 20834, 102404, 124545, 121906, 95604, 105933, 25333, 81742, 16144, 44915, 36785, 102677, 105104, 30297, 20230, 86127, 67645, 32977, 15682, 104736, 109375, 126020, 33541, 9174, 88356, 20834, 102404, 20230, 40265, 115926, 17129, 39926, 121453, 121606, 77181, 5486, 106222, 33563, 117126, 11795, 223, 16144, 107430, 102351, 30512, 115681, 112535, 113801, 120321, 104699, 109335, 21105, 103, 16995, 121906, 95604, 105933, 24273, 13393, 251, 16556, 122678, 104004, 102677, 105104, 30297, 20230, 104655, 102532, 108086, 33541, 1811, 17039, 28713, 26854, 121606, 20230, 105104, 30813, 78183, 102800, 37689, 111654, 19732, 106556, 30512, 104874, 107800, 17792, 103234, 30512, 115847, 15682, 70821, 56965, 120332, 32977, 96412, 107436, 16556, 123231, 123682, 32977, 5486, 119890, 43167, 5486, 118935, 11883, 54926, 102677, 100909, 116787, 33541, 1811, 66378, 20230, 17792, 30926, 110698, 58318, 124957, 115847, 32977, 107430, 102351, 102159, 107707, 106556, 110162, 101275, 116486, 107624, 95001, 20230, 106608, 100204, 38144, 50834, 43514, 25827, 114267, 103768, 112167, 117824, 30297, 24273, 13393, 251, 29295, 20379, 116216, 108086, 33541, 105879, 5486, 108895, 56051, 106548, 115856, 76622, 112212, 17129, 39926, 5486, 114380, 33671, 5486, 121101, 16144, 126120, 96455, 33208, 19732, 47260, 71634, 16144, 40862, 22649, 33208, 29295, 103130, 104004, 118855, 5486, 122270, 116898, 78183, 106644, 30369, 121101, 16144, 48915, 34048, 103057, 29245, 245, 118844, 15682, 85701, 55031, 104405, 95604, 44915, 16556, 120953, 95604, 75146, 107253, 16556, 102677, 104468, 104662, 17129, 76947, 17129, 107991, 32149, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 29295, 5486, 108895, 95604, 100909, 112212, 17129, 120837, 5486, 66378, 20230, 47260, 71634, 16144, 40862, 22649, 33208, 29295, 103130, 104004, 16144, 111769, 32149, 102677, 105104, 30297, 20230, 113727, 33541, 1811, 99849, 126036, 5486, 107430, 102351, 120332, 104680, 16144, 37689, 109375, 16144, 119254, 115847, 29295, 108008, 20230, 107693, 32149, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 105879, 110371, 28542, 30512, 104195, 47884, 125494, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 53900, 5486, 29504, 70821, 8107, 35330, 118482, 23226, 106594, 25333, 81742, 109853, 116787, 33541, 123682, 32977, 115847, 15682, 8107, 35330, 33563, 117126, 42506, 16144, 108446, 47000, 96455, 16144, 70141, 17905, 115847, 30512, 113173, 117408, 102944, 116787, 17129, 39926, 108948, 33334, 104004, 101832, 83812, 249, 42016, 102334, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 1811, 108446, 47000, 96455, 16144, 70141, 17905, 107294, 50834, 17129, 39926, 5486, 33563, 117126, 42506, 30512, 108446, 109315, 110366, 55031, 102334, 78434, 19732, 115847, 15682, 101083, 31640, 123727, 16937, 105266, 120383, 16144, 21043, 37656, 16144, 103846, 5486, 115143, 102052, 5486, 108285, 47884, 29504, 70821, 16144, 8107, 35330, 114305, 113115, 54926, 22023, 117943, 34171, 30512, 18904, 109095, 124545, 103846, 5486, 108008, 20230, 107693, 26854, 109606, 111769, 32149, 102677, 105104, 30297, 20230, 91763, 76947, 108086, 33541, 9174, 70821, 56965, 16144, 118482, 30046, 127303, 104984, 5486, 42506, 35330, 123160, 46456, 124237, 16995, 5486, 117032, 15682, 40526, 103605, 46456, 124237, 16995, 30512, 53229, 108630, 117408, 50667, 16144, 49792, 101908, 117824, 76947, 108086, 33541, 123682, 32977, 115515, 18904, 15682, 5486, 122270, 29220, 44971, 76428, 67075, 123218, 111848, 108446, 47000, 30512, 104736, 109315, 1811, 40526, 103605, 107084, 109913, 19732, 42016, 103826, 26854, 115681, 46456, 124237, 16995, 121711, 33541, 105879, 5486, 108446, 47000, 96455, 16144, 70141, 115442, 104195, 47884, 125494, 108608, 16144, 111769, 32149, 102677, 105104, 30297, 20230, 91763, 76947, 108086, 33541, 9174, 16995, 101860, 33121, 20230, 72342, 57980, 5486, 106222, 33563 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 51385, 23187, 109904, 33014, 44416, 30512, 103214, 104127, 16995, 90620, 105898, 16995, 9174, 85701, 29295, 37271, 18904, 16144, 102433, 8107, 35330, 101513, 106391, 25333, 81742, 102677, 100909, 116787, 33541, 55031, 5486, 103856, 47884, 85701, 30512, 105408, 24273, 16144, 109088, 107542, 48634, 16556, 103350, 102321, 109768, 90620, 102532, 5486, 29504, 70821, 30512, 126843, 51385, 64209, 108608, 104466, 109768, 90620, 105898, 16995, 123405, 110027, 38144, 5486, 121101, 103768, 112167, 117824, 30297, 104468, 106222, 33563, 117126, 11795, 223, 16144, 107430, 102351, 16144, 112073, 98369, 116787, 33541, 55031, 110371, 112073, 98369, 32977, 5486, 117876, 29295, 37271, 104405, 109020, 104865, 115408, 16144, 80195, 75267, 15682, 104405, 109020, 104865, 19732, 5486, 108008, 20230, 127408, 30512, 112672, 69978, 103836, 113334, 16556, 121906, 95604, 28542, 32977, 50834, 43514, 104043, 5486, 117271, 108608, 106592, 103856, 47884, 20379, 17663, 109900, 113468, 5486, 107430, 102351, 16144, 112073, 98369, 32977, 120208, 30512, 17039, 28713, 116446, 121453, 121606, 121254, 107441, 5486, 108608, 103378, 126574, 44971, 115882, 113245, 17039, 121606, 111363, 121101, 16144, 66953, 20251, 114483, 108981, 29295, 108608, 104466, 109768, 90620, 47884, 109088, 121837, 30512, 5486, 105408, 24273, 102052, 33334, 124730, 103082, 104984, 19732, 113727, 100934, 33671, 30537, 16556, 123231, 9174, 102131, 95604, 118733, 5486, 112371, 104328, 5486, 105408, 24273, 107898, 32149, 33121, 17129, 39926, 15682, 5486, 35083, 38574, 16144, 109088, 55487, 101557, 106, 30512, 16995, 90620, 102532, 25333, 81742, 29295, 116166, 78434, 104466, 115408, 103306, 15682, 112622, 76947, 71289, 64121, 107515, 9174, 22656, 9080, 15682, 120953, 32977, 97135, 16995, 79721, 59459, 105567, 46034, 23954, 2, 19, 198, 109298, 162, 104, 119, 101129, 114373, 101544, 97135, 16995, 79721, 9174, 33671, 20230, 5486, 107859, 111059, 121846, 17792, 107898, 124730, 102334, 78434, 9174, 2, 20, 198, 109298, 107859, 111059, 121846, 17792, 33334, 15682, 101200, 123231, 9174, 90620, 16995, 17129, 109088, 126362, 16995, 90620, 50834, 79721, 102433, 106613, 108638, 89046, 16144, 107859, 111059, 19732, 102782, 78434, 9174, 9080, 48154, 85791, 105755, 5486, 105408, 24273, 102052, 115408, 67645, 102944, 112415, 107294, 50834, 17129, 39926, 102987, 110460, 26854, 109088, 122521, 30512, 83812, 250, 31431, 17129, 39926, 5486, 23226, 107436, 109088, 107591, 30512, 102782, 15024, 109415, 33541, 118855, 5486, 108895, 95604, 75267, 121960, 86127, 67645, 102944, 113727, 24273, 30512, 102782, 15024, 43032, 103854, 107726, 100481, 90620, 47884, 101513, 38093, 30512, 83812, 250, 31431, 17129, 39926, 5486, 99750, 118835, 30512, 102782, 15024, 109415, 33541, 9174, 90620, 16995, 17129, 117758, 118741, 43032, 15682, 116898, 78183, 81219, 118482, 36668, 5486, 33563, 117126, 30046, 109972, 106529, 121906, 95604, 80195, 75267, 55031, 102404, 78244, 30512, 107726, 100481, 90620, 105898, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 37271, 18904, 16144, 105212, 29172, 81742, 16144, 106222, 33563, 117126, 11795, 223, 119254, 97518, 89046, 25333, 81742, 110371, 16325, 102052, 5486, 110577, 20230, 106222, 33563, 117126, 11795, 223, 16556, 16995, 85791, 16995, 85791, 108167, 103214, 17129, 106824, 108086, 33541, 119254, 30512, 122270, 25580, 103130, 124545, 121906, 95604, 105933, 44915, 29295, 96412, 17129, 115032, 102677, 105104, 30297, 20230, 78698, 107290, 108086, 17129, 39926, 5486, 108729, 112535, 83812, 249, 13153, 30512, 102334, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 51330, 114667, 5486, 36668, 26854, 28542, 15682, 115847, 55031, 102782, 15024, 43032, 103854, 33541, 64803, 28542, 20230, 31634, 103664, 107001, 16144, 111769, 32149, 102677, 105104, 30297, 20230, 91763, 76947, 108086, 33541, 115397, 59739, 15682, 115847, 103296, 71689, 20230, 16995, 78183, 81219, 14167, 100, 65854, 78228, 70141, 5486, 116690, 112919, 80195, 75267, 20230, 80195, 100472, 119254, 108176, 108995, 19732, 125494, 107001, 102677, 28542, 29295, 15120, 59739, 116787, 33541, 1811, 41920, 59739, 30832, 29295, 5486, 121606, 103306, 16144, 123274, 106045, 104063, 29295, 104195, 33208, 107001, 127303, 103950, 102677, 100909, 1811, 46091, 59739, 30832, 29295, 5486, 121101, 103768, 112167, 110162, 121101, 16144, 30250, 224, 23039, 123863, 108950, 31958, 34171, 110371, 108950, 31958, 34171, 29295, 85701, 103296, 71689, 20230, 45736, 115464, 127303, 103950, 102677, 28542, 116787, 33541, 1811, 64803, 59739, 30832, 29295, 5486, 121101, 16144, 126120, 96455, 33208, 5486, 47260, 71634, 16144, 109431, 37656, 33208, 115847, 29295, 15120, 114050, 103130, 104004, 16144, 111769, 32149, 19732, 78698, 105262, 28542, 116787, 33541, 9174, 102159, 103283, 20230, 111983, 102780, 107726, 100481, 90620, 50834, 33541, 19732, 112160, 59739, 118322, 14167, 100, 65854, 78228, 70141, 102677, 28542, 116787, 33541, 123682, 32977, 115515, 18904, 16144, 25333, 81742, 112212, 33541, 19732, 5486, 25333, 81742, 16144, 110446, 102397, 40089, 16556, 123231, 29295, 5486, 29504, 70821, 5486, 101307, 33563, 117126, 30046, 127253, 118482, 36668, 123160, 116690, 112919, 37689, 91774, 30512, 121101, 20230, 95543, 106482, 124545, 124122, 116876, 22324, 30512, 102332, 105784, 5486, 108895, 95604, 105104, 30297, 20230, 106045, 23187, 30512, 116216, 108086, 33541, 9174, 106222, 33563, 117126, 11795, 223, 15682, 5486, 112844, 17129, 72661, 103470, 5486, 101307, 33563, 117126, 30046, 71289, 118482, 36668, 50667, 16144, 116690, 30046, 116898, 78183, 106644, 30369, 14167, 100, 65854, 113115, 54926, 125175, 30512, 103350, 102923, 54926, 101513, 97518, 116787, 33541, 123682, 32977, 5486, 102321, 103397, 77181, 5486, 106222, 33563, 117126, 118482, 103768, 112167, 107624, 104760, 38093, 123160, 75267, 29295, 102332, 76622, 124195, 108086, 17129, 39926, 5486, 110924, 16556, 116690, 112919, 37689, 91774, 30512, 102782, 15024, 43032, 103854, 30369, 101513, 38093, 107407, 113334, 116787, 33541, 123682, 32977, 115515, 18904, 15682, 112424, 72661, 76947, 50834, 43514, 127842, 5486, 48915, 34048, 17792, 103234, 30512, 22649, 30926, 20230, 76706, 11883, 54926, 5486, 101182, 16995, 15682, 101307, 33563, 117126, 30046, 50667, 16144, 37689, 91774, 30512, 104655, 47884, 75267, 30512, 102332, 105784, 5486, 108895, 95604, 105908, 59614, 116156, 112535, 112424, 20230, 109466, 31431, 104526, 17129, 104028, 100909, 115717, 33541, 19732, 116898, 78183, 81219, 101182, 125231, 110783, 20230, 60358, 109669, 47884, 102944, 108176, 32149, 102677, 105104, 30297, 20230, 78698, 107290, 108086, 33541, 9174, 14167, 100, 65854, 78228, 70141, 30512, 17599, 117, 104792, 54926, 113009, 5486, 112950, 21990, 8239, 112, 122502, 27384, 113524, 101182, 16995, 15682, 101513, 106391, 16144, 22649, 30926, 101544, 104309, 37823, 117697, 11972, 108176, 24273, 104680, 20230, 110371, 28542, 16144, 37689, 109375, 30512, 50834, 43514, 127842, 69978, 76947, 103768, 112167, 107001, 101200, 33334, 124730, 30512, 102334, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 41920, 59739, 118322, 123274, 106045, 104063, 16144, 104195, 33208, 102677, 28542, 16556, 123231, 123682, 32977, 115847, 103296, 16144, 106222, 33563, 117126, 11795, 223, 16144, 119254, 16556, 5486, 120351, 59739, 32149, 16937, 118223, 30926, 29295, 108008, 20230, 119448, 47884, 125119, 76947, 108086, 33541, 105879, 110371, 28542, 109853, 5486, 108008, 20230, 101083, 107809, 16144, 97518, 64209, 29295, 126574, 28542, 111769, 32149, 102677, 105104, 30297, 20230, 91763, 76947, 108086, 33541, 1811, 114652, 64467, 112419, 84389, 33541, 29295, 5486, 106222, 33563, 117126, 11795, 223, 15682, 32943, 70141, 50834, 16556, 119962, 109349, 244, 109904, 121606, 33014, 105284, 16556, 5486, 121606, 40452, 32977, 109431, 102769, 120650, 78183, 106824, 105898, 107118, 120267, 29295, 106956, 121906, 95604, 105104, 30297, 20230, 104736, 109375, 103792, 113334, 116787, 33541, 123682, 32977, 115515, 18904, 16144, 25333, 81742, 107809, 102052, 5486, 8107, 35330, 121568, 108134, 16144, 123050, 123863, 106045, 23187, 115847, 29295, 116718, 20230, 109466, 31431, 104526, 17129, 106824, 108086, 33541, 15024, 5486, 122270, 5486, 38093, 82420, 110423, 112984, 17792, 111848, 48915, 34048, 110423, 112984, 115847, 29295, 104577, 102781, 109669, 76622, 125398, 28542, 15682, 25580, 103130, 127303, 103950, 32149, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 8107, 35330, 101513, 106391, 16144, 9080, 40053, 16144, 121101, 110423, 112984, 115847, 117824, 30297, 104468, 25333, 81742, 103732, 104984, 110423, 30926, 108176, 32149, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 29295, 5486, 101307, 33563, 117126, 30046, 101182, 16995, 15682, 118482, 36668, 20230, 126693, 5486, 110423, 30926, 29295, 50834, 43514, 127842, 9080, 40053, 16144, 107430, 113160, 30512, 28873, 28713, 109768, 90620, 47884, 104466, 5486, 66378, 20230, 58426, 118326, 34171, 30512, 16995, 111201, 118551, 54926, 32149, 110371, 28542, 20230, 37689, 30512, 11883, 102532, 103768, 112167, 30512, 109768, 90620, 105898, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 46091, 59739, 118322, 108950, 31958, 34171, 16144, 105184, 33563, 102677, 28542, 16556, 123231, 123682, 32977, 5486, 29504, 70821, 16144, 22023, 117943, 30512, 18904, 109095, 124545, 124122, 107693, 26854, 120098, 111769, 32149, 19732, 25359, 100204, 33541, 1811, 108950, 31958, 34171, 16144, 105184, 33563, 102677, 109606, 15682, 5486, 101513, 106391, 16144, 25333, 9554, 83799, 107328, 29295, 67645, 120950, 83799, 101983, 103950, 107173, 17599, 117, 104792, 109768, 107188, 118145, 105110, 100604, 111681, 104482, 16556, 123231, 123682, 32977, 5486, 25333, 81742, 102052, 5486, 110423, 112984, 120270, 102181, 101182, 16995, 15682, 121101, 103350, 116486, 16144, 107624, 95001, 109853, 35417, 21405, 54926, 121906, 95604, 105933, 30926, 120910, 29295, 109466, 31431, 104526, 17129, 106824, 108086, 33541, 1811, 103350, 104983, 16144, 103768, 112167, 20230, 40265, 28713, 76947, 5486, 66378, 20230, 29504, 70821, 20230, 78183, 107277, 126172, 47884, 106759, 21105, 123, 126172, 16995, 83799, 113245, 108134, 16144, 87447, 20379, 5486, 41642, 53283, 115847, 126130, 124730, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 64803, 59739, 118322, 121101, 16144, 126120, 96455, 33208, 5486, 47260, 71634, 16144, 109431, 37656, 33208, 110371, 28542, 107294, 50834, 17129, 39926, 15682, 5486, 8107, 35330, 101513, 106391, 16144, 102404, 102780, 20230, 104983, 39926, 17039, 28713, 20230, 23226, 107436, 107430, 102351, 16144, 118935, 11883, 29295, 23039, 126832, 100909, 108176, 113334, 16556, 123231, 123682, 32977, 108048, 103296, 16144, 122756, 5486, 121101, 16144, 40862, 22649, 33208, 5486, 88356, 104817, 13153, 108048, 30512, 119870, 17129, 107800, 124417, 120915, 33208, 16144, 17599, 117, 104792, 5486, 108895, 95604, 100909, 113468, 56965, 30177, 34048, 103722, 16144, 22398, 37823, 91062, 33208, 115847, 29295, 31634, 109311, 116216, 108086, 33541, 125939, 18904, 5486, 108895, 56051, 46034, 110480, 30512, 119870, 17129, 107290, 8107, 35330, 103768, 112167, 121606, 30512, 88356, 20834, 102404, 124545, 121906, 95604, 105933, 25333, 81742, 16144, 44915, 36785, 102677, 105104, 30297, 20230, 86127, 67645, 32977, 15682, 104736, 109375, 126020, 33541, 9174, 88356, 20834, 102404, 20230, 40265, 115926, 17129, 39926, 121453, 121606, 77181, 5486, 106222, 33563, 117126, 11795, 223, 16144, 107430, 102351, 30512, 115681, 112535, 113801, 120321, 104699, 109335, 21105, 103, 16995, 121906, 95604, 105933, 24273, 13393, 251, 16556, 122678, 104004, 102677, 105104, 30297, 20230, 104655, 102532, 108086, 33541, 1811, 17039, 28713, 26854, 121606, 20230, 105104, 30813, 78183, 102800, 37689, 111654, 19732, 106556, 30512, 104874, 107800, 17792, 103234, 30512, 115847, 15682, 70821, 56965, 120332, 32977, 96412, 107436, 16556, 123231, 123682, 32977, 5486, 119890, 43167, 5486, 118935, 11883, 54926, 102677, 100909, 116787, 33541, 1811, 66378, 20230, 17792, 30926, 110698, 58318, 124957, 115847, 32977, 107430, 102351, 102159, 107707, 106556, 110162, 101275, 116486, 107624, 95001, 20230, 106608, 100204, 38144, 50834, 43514, 25827, 114267, 103768, 112167, 117824, 30297, 24273, 13393, 251, 29295, 20379, 116216, 108086, 33541, 105879, 5486, 108895, 56051, 106548, 115856, 76622, 112212, 17129, 39926, 5486, 114380, 33671, 5486, 121101, 16144, 126120, 96455, 33208, 19732, 47260, 71634, 16144, 40862, 22649, 33208, 29295, 103130, 104004, 118855, 5486, 122270, 116898, 78183, 106644, 30369, 121101, 16144, 48915, 34048, 103057, 29245, 245, 118844, 15682, 85701, 55031, 104405, 95604, 44915, 16556, 120953, 95604, 75146, 107253, 16556, 102677, 104468, 104662, 17129, 76947, 17129, 107991, 32149, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 29295, 5486, 108895, 95604, 100909, 112212, 17129, 120837, 5486, 66378, 20230, 47260, 71634, 16144, 40862, 22649, 33208, 29295, 103130, 104004, 16144, 111769, 32149, 102677, 105104, 30297, 20230, 113727, 33541, 1811, 99849, 126036, 5486, 107430, 102351, 120332, 104680, 16144, 37689, 109375, 16144, 119254, 115847, 29295, 108008, 20230, 107693, 32149, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 105879, 110371, 28542, 30512, 104195, 47884, 125494, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 9174, 53900, 5486, 29504, 70821, 8107, 35330, 118482, 23226, 106594, 25333, 81742, 109853, 116787, 33541, 123682, 32977, 115847, 15682, 8107, 35330, 33563, 117126, 42506, 16144, 108446, 47000, 96455, 16144, 70141, 17905, 115847, 30512, 113173, 117408, 102944, 116787, 17129, 39926, 108948, 33334, 104004, 101832, 83812, 249, 42016, 102334, 56051, 16995, 102677, 105104, 30297, 20230, 25359, 100204, 33541, 1811, 108446, 47000, 96455, 16144, 70141, 17905, 107294, 50834, 17129, 39926, 5486, 33563, 117126, 42506, 30512, 108446, 109315, 110366, 55031, 102334, 78434, 19732, 115847, 15682, 101083, 31640, 123727, 16937, 105266, 120383, 16144, 21043, 37656, 16144, 103846, 5486, 115143, 102052, 5486, 108285, 47884, 29504, 70821, 16144, 8107, 35330, 114305, 113115, 54926, 22023, 117943, 34171, 30512, 18904, 109095, 124545, 103846, 5486, 108008, 20230, 107693, 26854, 109606, 111769, 32149, 102677, 105104, 30297, 20230, 91763, 76947, 108086, 33541, 9174, 70821, 56965, 16144, 118482, 30046, 127303, 104984, 5486, 42506, 35330, 123160, 46456, 124237, 16995, 5486, 117032, 15682, 40526, 103605, 46456, 124237, 16995, 30512, 53229, 108630, 117408, 50667, 16144, 49792, 101908, 117824, 76947, 108086, 33541, 123682, 32977, 115515, 18904, 15682, 5486, 122270, 29220, 44971, 76428, 67075, 123218, 111848, 108446, 47000, 30512, 104736, 109315, 1811, 40526, 103605, 107084, 109913, 19732, 42016, 103826, 26854, 115681, 46456, 124237, 16995, 121711, 33541, 105879, 5486, 108446, 47000, 96455, 16144, 70141, 115442, 104195, 47884, 125494, 108608, 16144, 111769, 32149, 102677, 105104, 30297, 20230, 91763, 76947, 108086, 33541, 9174, 16995, 101860, 33121, 20230, 72342, 57980, 5486, 106222, 33563 ]