Datasets:
kajuma
/
training_03_05_patch

Dataset card Data Studio Files Community
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
[ 105908, 57903, 33541, 68230, 68230, 111108, 102800, 102944, 30512, 116773, 107290, 33655, 102334, 47884, 15682, 124897, 55031, 101832, 68230, 68230, 128001, 128000, 7511, 18028, 198, 58, 6616, 60, 17905, 61304, 16144, 108285, 58655, 15682, 18, 113746, 71689, 17039, 106045, 77219, 80172, 83932, 16144, 100604, 52884, 77750, 20230, 52563, 116216, 61689, 1811, 17039, 102800, 77219, 30512, 102181, 47884, 30926, 16556, 108285, 58655, 29295, 33420, 58942, 33541, 9174, 33334, 35330, 69978, 16144, 25333, 108630, 30512, 53283, 31431, 121771, 15682, 124897, 32149, 95532, 80631, 100, 18259, 237, 26854, 107707, 25333, 108630, 30512, 53283, 31431, 121771, 15682, 124897, 32149, 95532, 67645, 112384, 32977, 112825, 110904, 38641, 9174, 99849, 29295, 108010, 30297, 104865, 9174, 115303, 59739, 103378, 38641, 9174, 53283, 109375, 29295, 108010, 61689, 9174, 33334, 35330, 109853, 16144, 31195, 9174, 117903, 121374, 198, 23187, 104577, 29411, 112686, 71289, 125175, 29295, 103350, 104983, 20230, 117903, 16556, 18655, 73686, 110731, 121374, 30512, 21405, 17663, 106613, 111587, 9554, 126067, 198, 103195, 9174, 101198, 110305, 106613, 111587, 48864, 16556, 114652, 11883, 16995, 110071, 9174, 117903, 121374, 15682, 18655, 73686, 16144, 35330, 103842, 255, 95001, 112603, 30512, 122074, 54926, 43240, 119064, 9039, 112603, 112028, 104091, 103195, 9174, 127177, 9039, 112603, 103306, 5486, 115181, 53229, 95001, 5486, 112686, 71289, 60868, 113649, 117718, 103087, 39084, 47260, 71634, 5486, 111017, 73686, 112599, 95001, 112603, 5486, 106613, 111587, 95001, 112603, 104309, 29295, 122765, 110071, 9174, 103350, 104983, 102052, 43240, 119064, 41920, 33671, 63212, 45829, 114318, 31431, 113334, 21990, 106518, 30046, 19732, 119100, 19000, 9554, 109198, 107691, 112919, 117903, 108134, 198, 16144, 107740, 125396, 29295, 5486, 117903, 121374, 20230, 117375, 54926, 9174, 102491, 105586, 9554, 106613, 111587, 48864, 121960, 15682, 5486, 112686, 71289, 60868, 113649, 117718, 117903, 121374, 15682, 86206, 19732, 84844, 110698, 16144, 198, 116900, 50021, 97518, 113468, 122074, 107001, 100909, 101983, 103836, 9174, 84844, 110698, 29295, 115079, 58942, 104984, 121374, 29295, 17297, 104989, 15024, 5486, 114485, 104984, 17905, 123716, 15024, 5486, 86206, 29295, 115079, 58942, 104984, 17905, 123716, 15024, 5486, 114485, 104984, 17297, 104989, 54926, 5486, 102677, 102944, 103195, 9174, 103350, 104983, 16144, 117903, 121374, 15682, 101182, 66378, 23187, 16144, 121374, 110276, 30591, 19732, 86206, 19732, 84844, 110698, 29295, 101042, 249, 64121, 198, 40862, 100472, 106649, 117232, 121960, 116771, 19361, 126120, 103195, 1811, 128001, 128000, 567, 73028, 107, 104699, 50834, 16144, 106391, 67178, 198, 110446, 97049, 71689, 16144, 13153, 107707, 68093, 111017, 29295, 108623, 105262, 116436, 111694, 5486, 127480, 41642, 103429, 9174, 104575, 77181, 118633, 127480, 16144, 109335, 100927, 107290, 47884, 106824, 32977, 5486, 127480, 41642, 103429, 109853, 15682, 99849, 15120, 59739, 41642, 53283, 84389, 100604, 9174, 127480, 103242, 30046, 16556, 71005, 17663, 127480, 16144, 34048, 25129, 15682, 110745, 50834, 47884, 25963, 59739, 20230, 17620, 32149, 104028, 9174, 115303, 59739, 15682, 127480, 22656, 33014, 16144, 116436, 111694, 5486, 106691, 109904, 102944, 29295, 118633, 127480, 9174, 80539, 108031, 15120, 59739, 15682, 5486, 127480, 30512, 46456, 105262, 121606, 103195, 127480, 104699, 50834, 9174, 37046, 104680, 127480, 103242, 30046, 15682, 5486, 127480, 30512, 46456, 105262, 121606, 30512, 127480, 41642, 121606, 19732, 105324, 104369, 9174, 127480, 30512, 46456, 105262, 121606, 15682, 5486, 110135, 10110, 127480, 101837, 121, 110135, 7705, 19732, 127480, 104699, 50834, 115991, 77693, 108422, 33121, 107608, 19361, 16144, 102971, 40862, 103826, 29430, 16556, 127480, 20230, 102971, 102802, 59739, 119188, 9174, 120870, 26854, 127480, 19732, 127480, 41642, 121606, 198, 14711, 73028, 107, 16144, 48915, 110366, 16144, 106391, 67178, 198, 127480, 120938, 34048, 15682, 76739, 96452, 39850, 33710, 105284, 19732, 127173, 104028, 108008, 20230, 110567, 16995, 121606, 16556, 33334, 33334, 78183, 115032, 9174, 30591, 109709, 105352, 107608, 16995, 105879, 5486, 64810, 73590, 105284, 103378, 77181, 127480, 15682, 112825, 110904, 20230, 111017, 106824, 114732, 9174, 58426, 103846, 5486, 123274, 15682, 47523, 109895, 105284, 19732, 127173, 104028, 123334, 71289, 21105, 103, 71289, 107188, 121606, 16556, 118124, 76537, 43514, 110731, 9174, 127480, 104699, 50834, 16144, 114225, 17297, 16556, 76739, 96452, 39850, 33710, 105284, 15682, 105721, 35287, 126020, 5486, 110924, 55031, 17297, 15682, 64810, 73590, 105284, 19732, 127173, 104028, 121606, 29295, 47523, 109895, 105284, 30512, 117633, 103836, 9174, 64810, 73590, 105284, 15682, 127480, 41642, 121606, 20230, 102971, 40862, 54926, 120266, 66378, 33208, 56051, 121606, 116787, 5486, 127480, 104699, 50834, 71289, 127480, 101837, 121, 110135, 117758, 47260, 32131, 38248, 110, 16073, 103721, 232, 109205, 29295, 121606, 109156, 31431, 22957, 64121, 5486, 108008, 20230, 104195, 107608, 26854, 102971, 40862, 30512, 106391, 13153, 54926, 9174, 14711, 73028, 107, 41642, 121606, 16144, 106391, 67178, 198, 127480, 104699, 50834, 16144, 106391, 67178, 15682, 48915, 110366, 55031, 5486, 17905, 105871, 121606, 5486, 102971, 40862, 121606, 5486, 127480, 101837, 121, 110135, 55031, 26854, 103836, 9174, 17905, 105871, 121606, 15682, 112825, 110904, 20230, 27452, 58942, 104533, 5486, 105871, 107804, 105107, 25446, 16144, 21405, 110366, 16144, 59739, 30369, 59739, 30369, 56051, 121606, 9174, 102971, 40862, 121606, 15682, 118124, 110366, 16144, 5486, 109416, 27929, 109416, 27929, 56051, 121606, 9174, 127480, 19732, 127480, 104699, 50834, 110792, 56965, 102052, 36117, 251, 115991, 5486, 127480, 41642, 89154, 113821, 19732, 127173, 104028, 9174, 120870, 112603, 16556, 25963, 101198, 37823, 88852, 16144, 36117, 251, 101983, 103836, 9174, 827, 65218, 105871, 34171, 47000, 100815, 198, 127480, 41642, 89154, 113821, 16144, 17297, 77181, 5486, 126843, 17905, 105871, 121606, 29295, 127480, 104699, 50834, 19732, 30177, 54926, 9174, 30177, 40862, 17905, 105871, 19732, 127173, 104028, 51330, 105494, 15682, 5486, 108768, 101198, 68408, 22398, 102494, 102741, 103202, 102971, 40862, 19732, 127173, 104028, 112294, 16995, 102971, 40862, 16556, 5486, 127480, 28190, 20230, 107246, 100815, 103792, 9174, 127480, 28190, 109156, 31431, 22957, 104004, 105908, 118765, 51330, 102971, 40862, 15682, 5486, 106644, 30369, 71289, 107188, 102944, 9174, 48915, 98220, 55031, 127480, 41642, 121606, 30512, 106154, 31431, 50834, 30369, 102052, 5486, 37087, 119064, 107734, 127242, 9174, 30177, 40862, 17905, 105871, 15682, 127480, 19732, 106644, 30369, 71289, 107188, 107246, 100815, 30512, 115376, 103792, 198, 827, 127541, 40862, 121606, 34171, 47000, 100815, 198, 17905, 105871, 34171, 47000, 100815, 16144, 17297, 102052, 5486, 102971, 40862, 121606, 29295, 64810, 73590, 105284, 110792, 122756, 104195, 48634, 26854, 47000, 100815, 30512, 115376, 54926, 9174, 102971, 40862, 121606, 34171, 47000, 100815, 19732, 127173, 104028, 51330, 106391, 67178, 15682, 5486, 102971, 40862, 121606, 19732, 64810, 73590, 105284, 122756, 47260, 32131, 38248, 110, 16073, 103721, 232, 109205, 30512, 75910, 39926, 104195, 48634, 20230, 102971, 102802, 59739, 47884, 9174, 33334, 106483, 16995, 30512, 102057, 104, 16995, 104526, 102189, 105933, 106391, 67178, 104856, 76947, 108086, 5486, 48915, 98220, 19732, 33014, 32943, 30512, 104195, 48634, 20230, 30250, 106, 64889, 54926, 9174, 85701, 127105, 29295, 127480, 41642, 121606, 16144, 48915, 98220, 117758, 103181, 109088, 16144, 31634, 9174, 33014, 123727, 27384, 30926, 26854, 110135, 71289, 121606, 104309, 30512, 106154, 30369, 115924, 103359, 103181, 108581, 101911, 104856, 103836, 9174, 102971, 40862, 121606, 34171, 47000, 100815, 15682, 110993, 107436, 104195, 48634, 26854, 102971, 40862, 198, 827, 73028, 107, 102831, 115716, 198, 102971, 40862, 121606, 16144, 17297, 77181, 5486, 127480, 101837, 121, 110135, 19732, 64810, 73590, 105284, 29295, 5486, 47260, 32131, 38248, 110, 16073, 103721, 232, 109205, 16556, 102971, 40862, 103792, 9174, 104662, 39926, 110135, 19732, 127480, 15682, 109467, 102971, 40862, 103792, 113334, 126194, 5486, 127480, 15682, 127480, 101837, 121, 110135, 20230, 102040, 100560, 95, 48552, 119775, 59739, 30369, 110731, 121894, 9174, 85701, 112212, 5486, 127480, 112649, 102518, 127852, 107666, 15682, 109467, 110135, 20230, 108044, 78183, 30369, 100909, 103470, 5486, 100783, 102, 34208, 107001, 9174, 47260, 32131, 38248, 110, 16073, 103721, 232, 109205, 15682, 108008, 20230, 104195, 48634, 5486, 9039, 78250, 62903, 42634, 102944, 100389, 105, 40862, 48634, 114475, 76622, 82533, 109315, 9174, 51330, 106391, 67178, 30512, 127480, 102831, 115716, 102083, 16995, 5486, 127480, 102831, 115716, 107809, 102052, 101365, 106613, 32977, 86867, 110731, 9174, 58426, 103846, 5486, 101365, 106613, 30512, 113487, 102334, 127480, 72661, 99750, 112854, 30512, 112854, 105262, 9174, 122615, 16144, 105811, 15120, 22656, 101042, 249, 102189, 103378, 72661, 78183, 117295, 99750, 112854, 15682, 5486, 114516, 16144, 99750, 112854, 107809, 16556, 25963, 87217, 30832, 20230, 110544, 255, 112163, 102083, 78183, 115032, 59459, 20713, 87217, 15682, 5486, 118322, 64936, 115716, 23954, 127480, 30512, 113487, 47884, 102677, 109335, 110371, 127480, 102831, 115716, 16144, 102971, 40862, 30512, 125174, 106627, 17663, 100909, 9174, 15120, 91774, 112825, 110904, 20230, 102971, 102802, 59739, 119188, 104466, 91774, 105262, 127480, 109846, 5486, 103350, 15682, 108008, 20230, 40862, 22649, 109904, 103826, 29430, 16556, 102971, 40862, 103792, 9174, 80673, 110371, 102971, 40862, 30512, 101171, 227, 32149, 17663, 48706, 107407, 9174, 127480, 41642, 103429, 103195, 9174, 106307, 50834, 33541, 128001, 128000, 567, 50702, 96, 59657, 232, 57207, 114676, 16144, 120987, 5486, 126521, 25197, 126989, 111179, 32149, 81219, 101860, 198, 103794, 13177, 90962, 104930, 101335, 47307, 39850, 47043, 107461, 67075, 16144, 25333, 108630, 10646, 29295, 26130, 118146, 43167, 107436, 61689, 29295, 124563, 112371, 51330, 105933, 22656, 30512, 102700, 56051, 16144, 112130, 9174, 37271, 103932, 328, 4760, 40, 15682, 103672, 93488, 103906, 39880, 16556, 43167, 117864, 118953, 107610, 105321, 38641, 123682, 32977, 5486, 605, 8107, 104699, 110706, 114516, 16144, 33014, 30512, 114652, 78698, 107290, 19967, 100472, 47043, 30512, 102473, 39926, 50834, 79721, 109900, 30512, 123011, 107436, 5486, 29172, 81742, 56051, 16995, 102677, 112973, 5486, 126843, 5486, 57903, 79721, 9174, 77693, 55031, 5486, 605, 8107, 56965, 5486, 102473, 30512, 103792, 117591, 20230, 108638, 59657, 232, 16144, 101083, 31640, 124911, 105459, 29295, 8107, 30512, 19732, 76947, 50834, 38144, 2397, 97049, 20230, 104584, 17701, 121256, 119520, 119568, 120577, 120987, 30512, 78698, 107800, 110018, 20230, 5486, 57980, 16995, 25197, 126989, 29295, 111179, 32149, 104127, 22957, 104435, 16144, 38641, 1811, 114435, 15682, 110371, 17792, 127282, 33334, 35330, 30512, 32977, 103836, 55031, 33655, 110027, 38144, 103801, 58942, 102677, 118733, 5486, 47043, 30512, 20834, 103792, 101200, 16556, 5486, 47043, 109669, 47884, 31431, 29295, 56965, 108010, 107462, 104533, 114284, 79721, 109900, 16556, 5486, 108638, 59657, 232, 57207, 114676, 29295, 121410, 9080, 104654, 54926, 30297, 58942, 16556, 109215, 26854, 47043, 107118, 104405, 95604, 102944, 32149, 102677, 106592, 64121, 103171, 16556, 87177, 15024, 40862, 16995, 123213, 20230, 123011, 107436, 64121, 101200, 102677, 100909, 115717, 79721, 9174, 567, 87646, 17860, 103792, 30926, 27452, 15682, 83747, 100604, 198, 103794, 108638, 59657, 232, 16144, 101083, 31640, 29295, 15120, 7741, 231, 20230, 23187, 8107, 56906, 107430, 39926, 33420, 106382, 29295, 26955, 94, 27384, 54926, 16144, 111769, 32149, 102677, 125494, 29295, 45736, 109709, 79721, 29295, 108948, 35330, 107407, 17792, 107898, 35330, 124905, 110027, 101200, 102677, 103378, 16144, 47043, 5486, 125175, 29295, 43240, 102518, 103846, 32149, 5486, 108638, 59657, 232, 57207, 114676, 15682, 102717, 19732, 124592, 95543, 106608, 103801, 72342, 104127, 56051, 9174, 37271, 103932, 87646, 17860, 103792, 30926, 27452, 29295, 83747, 100604, 116233, 118844, 103296, 19732, 112361, 110745, 33857, 107294, 47884, 104984, 101268, 110, 117295, 102677, 113727, 24273, 105321, 38641, 1811, 110229, 29295, 121906, 95604, 113727, 24273, 72661, 16144, 116825, 47884, 114598, 64209, 20230, 110315, 126660, 113637, 17792, 127282, 104405, 95604, 127749, 117083, 120900, 102677, 106592, 108064, 32977, 102473, 109768, 100604, 19732, 36785, 62004, 36785, 102677, 105908, 17620, 102518, 116233, 1811, 47307, 78983, 33710, 15682, 13177, 90962, 104930, 101335, 47307, 39850, 47043, 10646, 20230, 121256, 1811, 59739, 109709, 5486, 127032, 29295, 106759, 30512, 113727, 104533, 50834, 16144, 120208, 16556, 57207, 114676, 70141, 76622, 16144, 47043, 116825, 109749, 105908, 27384, 30926, 126529, 38641, 9174, 103794, 47043, 122401, 16144, 64209, 106391, 58942, 29295, 56965, 108010, 106358, 16144, 125651, 9174, 37271, 103932, 76771, 223, 15682, 47043, 122401, 40198, 239, 29295, 101544, 16995, 116233, 123682, 32977, 122603, 27479, 106613, 111587, 13153, 101544, 16144, 107404, 15682, 116898, 111201, 121771, 98369, 59739, 47884, 31431, 5486, 121771, 98369, 107691, 107462, 90620, 47884, 32149, 29295, 47043, 109669, 47884, 111331, 108729, 16556, 56051, 1811, 110229, 29295, 127749, 29295, 15120, 104721, 39926, 112361, 123141, 72661, 16144, 116825, 47884, 114598, 105525, 104028, 116497, 119703, 110115, 5486, 114435, 16144, 43240, 47884, 29295, 77693, 20230, 95221, 109669, 16995, 126386, 112973, 109755, 85791, 102800, 106046, 16995, 79721, 1811, 128001, 128000, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 123410, 17905, 16556, 5486, 72404, 107693, 26854, 13177, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 10646, 76947, 48154, 25359, 53283, 112130, 95532, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 107118, 5486, 16, 18904, 118322, 102456, 30926, 29295, 17, 18904, 118322, 102456, 30926, 10110, 64810, 71493, 102860, 101198, 64178, 7705, 105352, 117375, 30512, 58318, 105262, 102677, 113727, 24273, 38641, 9174, 27452, 116285, 5486, 103293, 102456, 16556, 117587, 105284, 29295, 83747, 103470, 102456, 53953, 103721, 232, 109205, 29295, 127181, 102456, 30926, 30512, 102647, 104369, 19732, 5486, 103293, 102456, 30512, 125764, 28713, 123470, 104473, 117587, 112603, 29295, 126128, 58942, 110071, 121142, 103470, 5486, 11881, 120, 102456, 30512, 125764, 28713, 74482, 72661, 104473, 117587, 112603, 30512, 126128, 105262, 8239, 114503, 29295, 125494, 108608, 102677, 30926, 38641, 9174, 59739, 109709, 5486, 124807, 76739, 67075, 16556, 15120, 87217, 27384, 102769, 26854, 102456, 30926, 15682, 5486, 103293, 102456, 105321, 38641, 57980, 9174, 102456, 123090, 104473, 117587, 112603, 29295, 115442, 30369 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105908, 57903, 33541, 68230, 68230, 111108, 102800, 102944, 30512, 116773, 107290, 33655, 102334, 47884, 15682, 124897, 55031, 101832, 68230, 68230, 128001, 128000, 7511, 18028, 198, 58, 6616, 60, 17905, 61304, 16144, 108285, 58655, 15682, 18, 113746, 71689, 17039, 106045, 77219, 80172, 83932, 16144, 100604, 52884, 77750, 20230, 52563, 116216, 61689, 1811, 17039, 102800, 77219, 30512, 102181, 47884, 30926, 16556, 108285, 58655, 29295, 33420, 58942, 33541, 9174, 33334, 35330, 69978, 16144, 25333, 108630, 30512, 53283, 31431, 121771, 15682, 124897, 32149, 95532, 80631, 100, 18259, 237, 26854, 107707, 25333, 108630, 30512, 53283, 31431, 121771, 15682, 124897, 32149, 95532, 67645, 112384, 32977, 112825, 110904, 38641, 9174, 99849, 29295, 108010, 30297, 104865, 9174, 115303, 59739, 103378, 38641, 9174, 53283, 109375, 29295, 108010, 61689, 9174, 33334, 35330, 109853, 16144, 31195, 9174, 117903, 121374, 198, 23187, 104577, 29411, 112686, 71289, 125175, 29295, 103350, 104983, 20230, 117903, 16556, 18655, 73686, 110731, 121374, 30512, 21405, 17663, 106613, 111587, 9554, 126067, 198, 103195, 9174, 101198, 110305, 106613, 111587, 48864, 16556, 114652, 11883, 16995, 110071, 9174, 117903, 121374, 15682, 18655, 73686, 16144, 35330, 103842, 255, 95001, 112603, 30512, 122074, 54926, 43240, 119064, 9039, 112603, 112028, 104091, 103195, 9174, 127177, 9039, 112603, 103306, 5486, 115181, 53229, 95001, 5486, 112686, 71289, 60868, 113649, 117718, 103087, 39084, 47260, 71634, 5486, 111017, 73686, 112599, 95001, 112603, 5486, 106613, 111587, 95001, 112603, 104309, 29295, 122765, 110071, 9174, 103350, 104983, 102052, 43240, 119064, 41920, 33671, 63212, 45829, 114318, 31431, 113334, 21990, 106518, 30046, 19732, 119100, 19000, 9554, 109198, 107691, 112919, 117903, 108134, 198, 16144, 107740, 125396, 29295, 5486, 117903, 121374, 20230, 117375, 54926, 9174, 102491, 105586, 9554, 106613, 111587, 48864, 121960, 15682, 5486, 112686, 71289, 60868, 113649, 117718, 117903, 121374, 15682, 86206, 19732, 84844, 110698, 16144, 198, 116900, 50021, 97518, 113468, 122074, 107001, 100909, 101983, 103836, 9174, 84844, 110698, 29295, 115079, 58942, 104984, 121374, 29295, 17297, 104989, 15024, 5486, 114485, 104984, 17905, 123716, 15024, 5486, 86206, 29295, 115079, 58942, 104984, 17905, 123716, 15024, 5486, 114485, 104984, 17297, 104989, 54926, 5486, 102677, 102944, 103195, 9174, 103350, 104983, 16144, 117903, 121374, 15682, 101182, 66378, 23187, 16144, 121374, 110276, 30591, 19732, 86206, 19732, 84844, 110698, 29295, 101042, 249, 64121, 198, 40862, 100472, 106649, 117232, 121960, 116771, 19361, 126120, 103195, 1811, 128001, 128000, 567, 73028, 107, 104699, 50834, 16144, 106391, 67178, 198, 110446, 97049, 71689, 16144, 13153, 107707, 68093, 111017, 29295, 108623, 105262, 116436, 111694, 5486, 127480, 41642, 103429, 9174, 104575, 77181, 118633, 127480, 16144, 109335, 100927, 107290, 47884, 106824, 32977, 5486, 127480, 41642, 103429, 109853, 15682, 99849, 15120, 59739, 41642, 53283, 84389, 100604, 9174, 127480, 103242, 30046, 16556, 71005, 17663, 127480, 16144, 34048, 25129, 15682, 110745, 50834, 47884, 25963, 59739, 20230, 17620, 32149, 104028, 9174, 115303, 59739, 15682, 127480, 22656, 33014, 16144, 116436, 111694, 5486, 106691, 109904, 102944, 29295, 118633, 127480, 9174, 80539, 108031, 15120, 59739, 15682, 5486, 127480, 30512, 46456, 105262, 121606, 103195, 127480, 104699, 50834, 9174, 37046, 104680, 127480, 103242, 30046, 15682, 5486, 127480, 30512, 46456, 105262, 121606, 30512, 127480, 41642, 121606, 19732, 105324, 104369, 9174, 127480, 30512, 46456, 105262, 121606, 15682, 5486, 110135, 10110, 127480, 101837, 121, 110135, 7705, 19732, 127480, 104699, 50834, 115991, 77693, 108422, 33121, 107608, 19361, 16144, 102971, 40862, 103826, 29430, 16556, 127480, 20230, 102971, 102802, 59739, 119188, 9174, 120870, 26854, 127480, 19732, 127480, 41642, 121606, 198, 14711, 73028, 107, 16144, 48915, 110366, 16144, 106391, 67178, 198, 127480, 120938, 34048, 15682, 76739, 96452, 39850, 33710, 105284, 19732, 127173, 104028, 108008, 20230, 110567, 16995, 121606, 16556, 33334, 33334, 78183, 115032, 9174, 30591, 109709, 105352, 107608, 16995, 105879, 5486, 64810, 73590, 105284, 103378, 77181, 127480, 15682, 112825, 110904, 20230, 111017, 106824, 114732, 9174, 58426, 103846, 5486, 123274, 15682, 47523, 109895, 105284, 19732, 127173, 104028, 123334, 71289, 21105, 103, 71289, 107188, 121606, 16556, 118124, 76537, 43514, 110731, 9174, 127480, 104699, 50834, 16144, 114225, 17297, 16556, 76739, 96452, 39850, 33710, 105284, 15682, 105721, 35287, 126020, 5486, 110924, 55031, 17297, 15682, 64810, 73590, 105284, 19732, 127173, 104028, 121606, 29295, 47523, 109895, 105284, 30512, 117633, 103836, 9174, 64810, 73590, 105284, 15682, 127480, 41642, 121606, 20230, 102971, 40862, 54926, 120266, 66378, 33208, 56051, 121606, 116787, 5486, 127480, 104699, 50834, 71289, 127480, 101837, 121, 110135, 117758, 47260, 32131, 38248, 110, 16073, 103721, 232, 109205, 29295, 121606, 109156, 31431, 22957, 64121, 5486, 108008, 20230, 104195, 107608, 26854, 102971, 40862, 30512, 106391, 13153, 54926, 9174, 14711, 73028, 107, 41642, 121606, 16144, 106391, 67178, 198, 127480, 104699, 50834, 16144, 106391, 67178, 15682, 48915, 110366, 55031, 5486, 17905, 105871, 121606, 5486, 102971, 40862, 121606, 5486, 127480, 101837, 121, 110135, 55031, 26854, 103836, 9174, 17905, 105871, 121606, 15682, 112825, 110904, 20230, 27452, 58942, 104533, 5486, 105871, 107804, 105107, 25446, 16144, 21405, 110366, 16144, 59739, 30369, 59739, 30369, 56051, 121606, 9174, 102971, 40862, 121606, 15682, 118124, 110366, 16144, 5486, 109416, 27929, 109416, 27929, 56051, 121606, 9174, 127480, 19732, 127480, 104699, 50834, 110792, 56965, 102052, 36117, 251, 115991, 5486, 127480, 41642, 89154, 113821, 19732, 127173, 104028, 9174, 120870, 112603, 16556, 25963, 101198, 37823, 88852, 16144, 36117, 251, 101983, 103836, 9174, 827, 65218, 105871, 34171, 47000, 100815, 198, 127480, 41642, 89154, 113821, 16144, 17297, 77181, 5486, 126843, 17905, 105871, 121606, 29295, 127480, 104699, 50834, 19732, 30177, 54926, 9174, 30177, 40862, 17905, 105871, 19732, 127173, 104028, 51330, 105494, 15682, 5486, 108768, 101198, 68408, 22398, 102494, 102741, 103202, 102971, 40862, 19732, 127173, 104028, 112294, 16995, 102971, 40862, 16556, 5486, 127480, 28190, 20230, 107246, 100815, 103792, 9174, 127480, 28190, 109156, 31431, 22957, 104004, 105908, 118765, 51330, 102971, 40862, 15682, 5486, 106644, 30369, 71289, 107188, 102944, 9174, 48915, 98220, 55031, 127480, 41642, 121606, 30512, 106154, 31431, 50834, 30369, 102052, 5486, 37087, 119064, 107734, 127242, 9174, 30177, 40862, 17905, 105871, 15682, 127480, 19732, 106644, 30369, 71289, 107188, 107246, 100815, 30512, 115376, 103792, 198, 827, 127541, 40862, 121606, 34171, 47000, 100815, 198, 17905, 105871, 34171, 47000, 100815, 16144, 17297, 102052, 5486, 102971, 40862, 121606, 29295, 64810, 73590, 105284, 110792, 122756, 104195, 48634, 26854, 47000, 100815, 30512, 115376, 54926, 9174, 102971, 40862, 121606, 34171, 47000, 100815, 19732, 127173, 104028, 51330, 106391, 67178, 15682, 5486, 102971, 40862, 121606, 19732, 64810, 73590, 105284, 122756, 47260, 32131, 38248, 110, 16073, 103721, 232, 109205, 30512, 75910, 39926, 104195, 48634, 20230, 102971, 102802, 59739, 47884, 9174, 33334, 106483, 16995, 30512, 102057, 104, 16995, 104526, 102189, 105933, 106391, 67178, 104856, 76947, 108086, 5486, 48915, 98220, 19732, 33014, 32943, 30512, 104195, 48634, 20230, 30250, 106, 64889, 54926, 9174, 85701, 127105, 29295, 127480, 41642, 121606, 16144, 48915, 98220, 117758, 103181, 109088, 16144, 31634, 9174, 33014, 123727, 27384, 30926, 26854, 110135, 71289, 121606, 104309, 30512, 106154, 30369, 115924, 103359, 103181, 108581, 101911, 104856, 103836, 9174, 102971, 40862, 121606, 34171, 47000, 100815, 15682, 110993, 107436, 104195, 48634, 26854, 102971, 40862, 198, 827, 73028, 107, 102831, 115716, 198, 102971, 40862, 121606, 16144, 17297, 77181, 5486, 127480, 101837, 121, 110135, 19732, 64810, 73590, 105284, 29295, 5486, 47260, 32131, 38248, 110, 16073, 103721, 232, 109205, 16556, 102971, 40862, 103792, 9174, 104662, 39926, 110135, 19732, 127480, 15682, 109467, 102971, 40862, 103792, 113334, 126194, 5486, 127480, 15682, 127480, 101837, 121, 110135, 20230, 102040, 100560, 95, 48552, 119775, 59739, 30369, 110731, 121894, 9174, 85701, 112212, 5486, 127480, 112649, 102518, 127852, 107666, 15682, 109467, 110135, 20230, 108044, 78183, 30369, 100909, 103470, 5486, 100783, 102, 34208, 107001, 9174, 47260, 32131, 38248, 110, 16073, 103721, 232, 109205, 15682, 108008, 20230, 104195, 48634, 5486, 9039, 78250, 62903, 42634, 102944, 100389, 105, 40862, 48634, 114475, 76622, 82533, 109315, 9174, 51330, 106391, 67178, 30512, 127480, 102831, 115716, 102083, 16995, 5486, 127480, 102831, 115716, 107809, 102052, 101365, 106613, 32977, 86867, 110731, 9174, 58426, 103846, 5486, 101365, 106613, 30512, 113487, 102334, 127480, 72661, 99750, 112854, 30512, 112854, 105262, 9174, 122615, 16144, 105811, 15120, 22656, 101042, 249, 102189, 103378, 72661, 78183, 117295, 99750, 112854, 15682, 5486, 114516, 16144, 99750, 112854, 107809, 16556, 25963, 87217, 30832, 20230, 110544, 255, 112163, 102083, 78183, 115032, 59459, 20713, 87217, 15682, 5486, 118322, 64936, 115716, 23954, 127480, 30512, 113487, 47884, 102677, 109335, 110371, 127480, 102831, 115716, 16144, 102971, 40862, 30512, 125174, 106627, 17663, 100909, 9174, 15120, 91774, 112825, 110904, 20230, 102971, 102802, 59739, 119188, 104466, 91774, 105262, 127480, 109846, 5486, 103350, 15682, 108008, 20230, 40862, 22649, 109904, 103826, 29430, 16556, 102971, 40862, 103792, 9174, 80673, 110371, 102971, 40862, 30512, 101171, 227, 32149, 17663, 48706, 107407, 9174, 127480, 41642, 103429, 103195, 9174, 106307, 50834, 33541, 128001, 128000, 567, 50702, 96, 59657, 232, 57207, 114676, 16144, 120987, 5486, 126521, 25197, 126989, 111179, 32149, 81219, 101860, 198, 103794, 13177, 90962, 104930, 101335, 47307, 39850, 47043, 107461, 67075, 16144, 25333, 108630, 10646, 29295, 26130, 118146, 43167, 107436, 61689, 29295, 124563, 112371, 51330, 105933, 22656, 30512, 102700, 56051, 16144, 112130, 9174, 37271, 103932, 328, 4760, 40, 15682, 103672, 93488, 103906, 39880, 16556, 43167, 117864, 118953, 107610, 105321, 38641, 123682, 32977, 5486, 605, 8107, 104699, 110706, 114516, 16144, 33014, 30512, 114652, 78698, 107290, 19967, 100472, 47043, 30512, 102473, 39926, 50834, 79721, 109900, 30512, 123011, 107436, 5486, 29172, 81742, 56051, 16995, 102677, 112973, 5486, 126843, 5486, 57903, 79721, 9174, 77693, 55031, 5486, 605, 8107, 56965, 5486, 102473, 30512, 103792, 117591, 20230, 108638, 59657, 232, 16144, 101083, 31640, 124911, 105459, 29295, 8107, 30512, 19732, 76947, 50834, 38144, 2397, 97049, 20230, 104584, 17701, 121256, 119520, 119568, 120577, 120987, 30512, 78698, 107800, 110018, 20230, 5486, 57980, 16995, 25197, 126989, 29295, 111179, 32149, 104127, 22957, 104435, 16144, 38641, 1811, 114435, 15682, 110371, 17792, 127282, 33334, 35330, 30512, 32977, 103836, 55031, 33655, 110027, 38144, 103801, 58942, 102677, 118733, 5486, 47043, 30512, 20834, 103792, 101200, 16556, 5486, 47043, 109669, 47884, 31431, 29295, 56965, 108010, 107462, 104533, 114284, 79721, 109900, 16556, 5486, 108638, 59657, 232, 57207, 114676, 29295, 121410, 9080, 104654, 54926, 30297, 58942, 16556, 109215, 26854, 47043, 107118, 104405, 95604, 102944, 32149, 102677, 106592, 64121, 103171, 16556, 87177, 15024, 40862, 16995, 123213, 20230, 123011, 107436, 64121, 101200, 102677, 100909, 115717, 79721, 9174, 567, 87646, 17860, 103792, 30926, 27452, 15682, 83747, 100604, 198, 103794, 108638, 59657, 232, 16144, 101083, 31640, 29295, 15120, 7741, 231, 20230, 23187, 8107, 56906, 107430, 39926, 33420, 106382, 29295, 26955, 94, 27384, 54926, 16144, 111769, 32149, 102677, 125494, 29295, 45736, 109709, 79721, 29295, 108948, 35330, 107407, 17792, 107898, 35330, 124905, 110027, 101200, 102677, 103378, 16144, 47043, 5486, 125175, 29295, 43240, 102518, 103846, 32149, 5486, 108638, 59657, 232, 57207, 114676, 15682, 102717, 19732, 124592, 95543, 106608, 103801, 72342, 104127, 56051, 9174, 37271, 103932, 87646, 17860, 103792, 30926, 27452, 29295, 83747, 100604, 116233, 118844, 103296, 19732, 112361, 110745, 33857, 107294, 47884, 104984, 101268, 110, 117295, 102677, 113727, 24273, 105321, 38641, 1811, 110229, 29295, 121906, 95604, 113727, 24273, 72661, 16144, 116825, 47884, 114598, 64209, 20230, 110315, 126660, 113637, 17792, 127282, 104405, 95604, 127749, 117083, 120900, 102677, 106592, 108064, 32977, 102473, 109768, 100604, 19732, 36785, 62004, 36785, 102677, 105908, 17620, 102518, 116233, 1811, 47307, 78983, 33710, 15682, 13177, 90962, 104930, 101335, 47307, 39850, 47043, 10646, 20230, 121256, 1811, 59739, 109709, 5486, 127032, 29295, 106759, 30512, 113727, 104533, 50834, 16144, 120208, 16556, 57207, 114676, 70141, 76622, 16144, 47043, 116825, 109749, 105908, 27384, 30926, 126529, 38641, 9174, 103794, 47043, 122401, 16144, 64209, 106391, 58942, 29295, 56965, 108010, 106358, 16144, 125651, 9174, 37271, 103932, 76771, 223, 15682, 47043, 122401, 40198, 239, 29295, 101544, 16995, 116233, 123682, 32977, 122603, 27479, 106613, 111587, 13153, 101544, 16144, 107404, 15682, 116898, 111201, 121771, 98369, 59739, 47884, 31431, 5486, 121771, 98369, 107691, 107462, 90620, 47884, 32149, 29295, 47043, 109669, 47884, 111331, 108729, 16556, 56051, 1811, 110229, 29295, 127749, 29295, 15120, 104721, 39926, 112361, 123141, 72661, 16144, 116825, 47884, 114598, 105525, 104028, 116497, 119703, 110115, 5486, 114435, 16144, 43240, 47884, 29295, 77693, 20230, 95221, 109669, 16995, 126386, 112973, 109755, 85791, 102800, 106046, 16995, 79721, 1811, 128001, 128000, 117587, 105284, 44416, 48249, 124807, 76739, 67075, 123410, 17905, 16556, 5486, 72404, 107693, 26854, 13177, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 10646, 76947, 48154, 25359, 53283, 112130, 95532, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 107118, 5486, 16, 18904, 118322, 102456, 30926, 29295, 17, 18904, 118322, 102456, 30926, 10110, 64810, 71493, 102860, 101198, 64178, 7705, 105352, 117375, 30512, 58318, 105262, 102677, 113727, 24273, 38641, 9174, 27452, 116285, 5486, 103293, 102456, 16556, 117587, 105284, 29295, 83747, 103470, 102456, 53953, 103721, 232, 109205, 29295, 127181, 102456, 30926, 30512, 102647, 104369, 19732, 5486, 103293, 102456, 30512, 125764, 28713, 123470, 104473, 117587, 112603, 29295, 126128, 58942, 110071, 121142, 103470, 5486, 11881, 120, 102456, 30512, 125764, 28713, 74482, 72661, 104473, 117587, 112603, 30512, 126128, 105262, 8239, 114503, 29295, 125494, 108608, 102677, 30926, 38641, 9174, 59739, 109709, 5486, 124807, 76739, 67075, 16556, 15120, 87217, 27384, 102769, 26854, 102456, 30926, 15682, 5486, 103293, 102456, 105321, 38641, 57980, 9174, 102456, 123090, 104473, 117587, 112603, 29295, 115442, 30369 ]
[ 104468, 109683, 26854, 30926, 77181, 57903, 33541, 29295, 5486, 33014, 121496, 57942, 103, 30512, 115079, 71289, 30813, 100604, 103846, 105352, 104473, 117587, 112603, 15682, 109020, 103854, 47884, 122765, 100604, 30926, 29295, 107693, 38641, 9174, 58426, 103846, 105352, 5486, 103293, 55031, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 103801, 109954, 627, 117876, 29295, 112008, 102800, 19732, 82973, 119703, 103846, 5486, 71493, 103830, 32131, 25005, 94, 16073, 71289, 86894, 241, 45829, 124535, 102083, 100472, 117587, 105284, 16144, 59657, 232, 30512, 125764, 29295, 43514, 125651, 9174, 33334, 11881, 120, 20230, 117587, 105284, 30512, 111098, 107674, 102456, 30926, 30512, 125764, 30369, 89783, 116664, 16144, 100604, 17792, 108680, 5486, 103293, 20230, 60868, 32131, 99959, 30512, 102456, 115694, 5486, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 30512, 108167, 17701, 104028, 125231, 38641, 9174, 567, 113978, 71493, 102860, 101198, 64178, 29295, 50928, 110071, 102456, 30926, 15682, 95532, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 30512, 50928, 30369, 124122, 120098, 15682, 5486, 34617, 59739, 57903, 33541, 9174, 16, 25, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 36668, 102456, 30512, 102647, 109416, 30297, 198, 17, 25, 102456, 53953, 103721, 232, 109205, 55031, 125764, 30369, 10110, 102212, 108171, 55031, 125764, 30369, 23954, 18, 25, 104754, 71289, 100845, 95, 30512, 125764, 30369, 198, 17905, 61304, 18, 59739, 30512, 37689, 109375, 54926, 121142, 5486, 16, 117073, 117591, 16556, 119869, 20230, 99046, 224, 100472, 102456, 30926, 29295, 5486, 17, 18904, 118322, 102456, 74482, 104473, 117587, 112603, 105352, 117375, 30512, 82317, 109416, 15024, 101402, 110104, 125764, 24273, 30512, 103350, 124299, 125545, 101832, 9174, 14711, 125389, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 36668, 102456, 30512, 102647, 109416, 30297, 198, 101828, 73361, 112197, 20230, 105557, 31431, 30512, 125764, 30369, 126036, 5486, 114797, 73361, 71289, 32977, 43514, 114452, 48154, 15682, 25827, 102083, 100472, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 36668, 102456, 30512, 125764, 17129, 109954, 9174, 112361, 124535, 72661, 5486, 102803, 114452, 124535, 105110, 102456, 53953, 103721, 232, 109205, 29295, 127181, 119627, 5486, 101828, 16995, 124535, 15682, 102456, 53953, 103721, 232, 109205, 29295, 83747, 103470, 117587, 105284, 16144, 59657, 232, 38641, 9174, 102456, 53953, 103721, 232, 109205, 29295, 119515, 105469, 26854, 119008, 30512, 119869, 20230, 125764, 104533, 5486, 104473, 117587, 112603, 16144, 105047, 17905, 123716, 71289, 121496, 105284, 16144, 107246, 110226, 30512, 126128, 58942, 102204, 33541, 9174, 101828, 73361, 105352, 102456, 53953, 103721, 232, 109205, 29295, 102717, 19732, 124592, 96412, 17129, 104028, 117587, 105284, 16144, 59657, 232, 119627, 5486, 32977, 43514, 114452, 48154, 114053, 9458, 114797, 73361, 102083, 100472, 102456, 53953, 103721, 232, 109205, 30512, 96412, 102189, 103167, 29134, 16144, 36668, 102456, 30512, 108882, 110993, 112535, 125764, 17129, 109954, 9174, 14711, 125389, 53953, 103721, 232, 109205, 55031, 125764, 30369, 10110, 102212, 108171, 55031, 125764, 30369, 23954, 102456, 30926, 16144, 112772, 60868, 32131, 99959, 30512, 125764, 115926, 5486, 102212, 108171, 29295, 28713, 108005, 115, 111331, 22398, 107610, 30512, 115320, 102189, 31431, 5486, 56235, 102508, 119, 116825, 102518, 101851, 106, 53953, 30512, 102456, 115694, 5486, 102456, 53953, 103721, 232, 109205, 30512, 125764, 30369, 121142, 104473, 117587, 112603, 120938, 123716, 15682, 126120, 96455, 114652, 126128, 58942, 110071, 102944, 38641, 9174, 103350, 104983, 20230, 5486, 605, 17620, 123628, 60868, 32131, 99959, 29295, 104473, 117587, 112603, 17905, 123716, 30512, 126128, 105262, 102473, 30512, 126362, 103801, 109954, 9174, 60868, 32131, 99959, 30512, 125764, 28713, 605, 17620, 123090, 5486, 71493, 44971, 108994, 112900, 198, 269, 198, 71493, 44971, 108994, 112900, 16144, 605, 17620, 123090, 5486, 60868, 32131, 99959, 198, 119775, 5486, 125764, 24273, 30512, 104721, 105262, 121142, 5486, 117587, 105284, 16144, 107246, 110226, 29295, 33354, 237, 71289, 32149, 115717, 5486, 76171, 22398, 107805, 16144, 17620, 14888, 234, 29295, 126128, 58942, 103468, 1811, 102677, 106592, 20379, 103792, 112973, 17297, 16144, 111629, 9174, 117811, 24186, 512, 102212, 108171, 52118, 47307, 115695, 29220, 105284, 52118, 36668, 102456, 16144, 110480, 16556, 125764, 104984, 5486, 105755, 104473, 117587, 112603, 120938, 123716, 30512, 100783, 102, 71289, 111201, 54926, 105908, 125545, 9174, 102212, 108171, 30512, 125764, 30369, 101513, 38093, 119703, 102677, 116537, 5486, 111108, 33420, 33208, 34171, 68408, 62903, 71634, 107805, 123160, 53610, 122026, 34171, 102456, 53953, 103721, 232, 109205, 29295, 51385, 47884, 105525, 113017, 105879, 90962, 22398, 22398, 39850, 9174, 111108, 33420, 33208, 34171, 68408, 62903, 71634, 107805, 112253, 122026, 34171, 102456, 53953, 103721, 232, 109205, 8, 46702, 125215, 15755, 229, 10110, 50034, 14167, 228, 120566, 25446, 7705, 11144, 108768, 33710, 57207, 38248, 104, 115695, 117383, 112479, 14711, 103879, 117, 71289, 100845, 95, 30512, 125764, 30369, 198, 102456, 53953, 103721, 232, 109205, 116749, 105352, 104473, 117587, 112603, 30512, 122765, 20230, 47884, 47884, 15024, 5486, 33420, 33208, 30512, 30250, 227, 117063, 30369, 125764, 53953, 16144, 66378, 17599, 112, 15682, 5486, 100845, 95, 5486, 104754, 38641, 9174, 100845, 95, 9458, 104754, 15682, 33420, 33208, 100845, 113, 72238, 16144, 122502, 50834, 30512, 112294, 47884, 54926, 30926, 16556, 5486, 104473, 117587, 112603, 120938, 123716, 30512, 100783, 102, 71289, 111201, 54926, 8239, 114503, 114792, 76947, 61689, 9174, 60868, 32131, 99959, 127303, 104984, 101335, 16073, 90962, 106696, 126194, 90962, 39850, 102472, 18, 30512, 43240, 47884, 96412, 104004, 127022, 108068, 109639, 104754, 124905, 100472, 45923, 44971, 26269, 57207, 94550, 124905, 30297, 102083, 100472, 104346, 20230, 5486, 103424, 105284, 26854, 104754, 30512, 108882, 110993, 112535, 99046, 224, 18655, 56051, 16995, 125651, 9174, 567, 220, 123011, 62004, 198, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 30512, 50928, 30369, 120098, 30512, 48154, 126362, 121256, 9174, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 30512, 50928, 30369, 102052, 5486, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 54926, 30926, 29295, 27384, 102769, 38641, 9174, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 119008, 15682, 104473, 117587, 112603, 29295, 115442, 112586, 47884, 16995, 104468, 32977, 43514, 85791, 116233, 29295, 5486, 33420, 33208, 32977, 106644, 121710, 31431, 26854, 105879, 108008, 20230, 113351, 110794, 29295, 114652, 108948, 113351, 29295, 35894, 50834, 20230, 47884, 115737, 31431, 33541, 9174, 58426, 103846, 5486, 64810, 71493, 102860, 101198, 64178, 30512, 37689, 109375, 54926, 121142, 5486, 101576, 102, 122101, 102456, 104654, 20230, 104721, 33208, 78434, 9174, 103293, 102456, 30512, 113487, 126145, 104473, 117587, 112603, 29295, 115442, 31431, 126172, 115737, 31431, 5486, 101402, 31431, 126172, 47884, 109020, 76947, 48154, 25359, 53283, 112130, 95532, 103293, 102456, 9458, 11881, 120, 102456, 30512, 110176, 24273, 19732, 100472, 107803, 19732, 57106, 115694, 5486, 103293, 102456, 30512, 19732, 121140, 20230, 11881, 120, 102456, 30512, 19732, 104533, 11881, 120, 102456, 123470, 104473, 117587, 112603, 120938, 123716, 111044, 29295, 119448, 47884, 5486, 17905, 123716, 56051, 121894, 29295, 101544, 47884, 106307, 102532, 114732, 103846, 5486, 101402, 31431, 126172, 47884, 109020, 116233, 9174, 567, 123318, 102456, 30512, 125764, 100604, 19732, 101402, 30369, 104468, 104405, 39926, 95532, 103293, 102456, 30512, 125764, 100604, 19732, 101402, 30369, 114667, 15682, 116898, 47884, 59739, 32149, 114667, 107407, 19732, 117952, 106824, 61689, 9174, 27452, 116285, 111476, 12, 123318, 102456, 30512, 19732, 110104, 118733, 5486, 104473, 117587, 112603, 120938, 123716, 15024, 126172, 47884, 109020, 198, 12, 122163, 16144, 121432, 37026, 33014, 29295, 114392, 30832, 112854, 109315, 105908, 103082, 101860, 75146, 17920, 236, 31640, 118835, 29295, 120175, 38144, 5486, 117178, 112624, 20230, 102971, 102802, 59739, 47884, 198, 12, 105697, 233, 107079, 29295, 76739, 124643, 104603, 11972, 39084, 103306, 17620, 50338, 84389, 5486, 31640, 118835, 29295, 120175, 30369, 198, 104309, 29295, 114667, 38641, 9174, 103293, 102456, 30512, 125764, 100604, 19732, 5486, 101402, 31431, 126172, 47884, 109020, 114667, 15682, 111338, 58911, 101182, 116233, 9174, 567, 125389, 30926, 16144, 125764, 24273, 16556, 5486, 104473, 117587, 112603, 29295, 114387, 20230, 124500, 30369, 106609, 16, 9080, 18, 102456, 30512, 125764, 30369, 107803, 19732, 5486, 103293, 102456, 30512, 113487, 102532, 16, 9080, 17, 102456, 125764, 30369, 107803, 16144, 104473, 117587, 112603, 29295, 102433, 103242, 104599, 38093, 16556, 126362, 110731, 105879, 64121, 38144, 64121, 17129, 109954, 9174, 103293, 102456, 30512, 125764, 100604, 107803, 5486, 11881, 120, 102456, 113468, 105047, 17905, 123716, 56051, 104473, 117587, 112603, 30512, 17297, 102639, 30369, 113009, 5486, 76171, 22398, 107805, 29295, 122333, 20230, 17620, 14888, 234, 84389, 5486, 104473, 117587, 112603, 30512, 17297, 102639, 101200, 19732, 78434, 9174, 51330, 105933, 104473, 117587, 112603, 16144, 105047, 17905, 123716, 5486, 105047, 104989, 17297, 15682, 33014, 111363, 109972, 106529, 32977, 108008, 20230, 119448, 16995, 121142, 103470, 117119, 105755, 117178, 112624, 115717, 126172, 115737, 31431, 33541, 9174, 103293, 102456, 30512, 113487, 47884, 118733, 5486, 99046, 224, 18655, 71493, 42634, 102540, 30512, 114485, 117063, 30369, 39850, 37823, 67075, 15682, 57903, 33541, 29295, 5486, 104473, 117587, 112603, 120938, 17297, 29295, 106266, 106624, 109020, 68408, 39850, 37823, 67075, 120332, 29295, 101860, 104043, 119448, 16995, 38641, 9174, 58426, 103846, 5486, 124807, 76739, 67075, 30512, 8239, 114503, 112535, 23039, 30297, 103846, 105352, 5486, 103293, 102456, 30512, 21105, 96, 107277, 19732, 108167, 17129, 109954, 9174, 103293, 102456, 30512, 125764, 30369, 104983, 15682, 5486, 103293, 102456, 16556, 117587, 105284, 29295, 83747, 103470, 102456, 53953, 103721, 232, 109205, 29295, 127181, 102456, 30926, 30512, 102647, 104369, 19732, 5486, 103293, 102456, 30512, 125764, 28713, 123470, 104473, 117587, 112603, 29295, 126128, 58942, 110071, 121142, 103470, 5486, 11881, 120, 102456, 30512, 125764, 28713, 74482, 72661, 104473, 117587, 112603, 30512, 126128, 105262, 8239, 114503, 29295, 125494, 125545, 97999, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 19732, 127173, 33121, 33541, 23954, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 116749, 105352, 5486, 103293, 102456, 20230, 28713, 25827, 2243, 109, 47884, 105284, 30512, 18655, 104533, 5486, 119049, 107079, 30512, 104195, 33208, 39926, 9080, 16325, 16144, 31640, 118835, 29295, 125494, 108608, 1811, 102083, 100472, 103293, 102456, 30512, 125764, 30369, 39850, 37823, 67075, 15682, 108008, 20230, 119448, 117714, 38641, 9174, 567, 220, 18, 102456, 107173, 117587, 105284, 44416, 48249, 29295, 43568, 22649, 105110, 5486, 103293, 102456, 55031, 42634, 38248, 104, 103672, 30512, 106081, 39926, 64121, 101200, 198, 103293, 9458, 11881, 120, 9458, 45114, 102, 19732, 121410, 102456, 5486, 117587, 105284, 30512, 125764, 100934, 19732, 13177, 117178, 112624, 103927, 33710, 124373, 10110, 76171, 22398, 107805, 7705, 10646, 29295, 45923, 102860, 16073, 19732, 17620, 14888, 234, 107001, 103846, 5486, 89783, 100472, 117587, 105284, 15682, 16325, 34171, 121496, 57942, 103, 20230, 104721, 109033, 116216, 33014, 121496, 57942, 103, 103306, 105623, 226, 58942, 33121, 33541, 9174, 58426, 103846, 5486, 18, 102456, 107173, 117587, 105284, 30512, 125764, 100934, 19732, 108948, 113351, 41642, 111331, 121496, 57942, 103, 29295, 45923, 102860, 16073, 115079, 58942, 100481, 47884, 15120, 24273, 38641, 9174, 567, 123318, 102456, 30512, 42634, 38248, 104, 103672, 117657, 39850, 37823, 67075, 15682, 119448, 16995, 198, 66378, 20230, 103293, 102456, 15682, 102456, 123470, 104473, 117587, 112603, 29295, 115442, 31431, 126172, 16995, 107271, 123577, 76739, 38248, 115, 78205, 16073, 105321, 38641, 9174, 102677, 123017, 5486, 103293, 72718, 50834, 104533, 33014, 123727, 103927, 33710, 124373, 10110, 13153, 101544, 103927, 33710, 124373, 5486, 47260, 33710, 118091, 78459, 64178, 7705, 123160, 103927, 33710, 124373, 15682, 5486, 102456, 30926, 55031, 117587, 105284, 30512, 99046, 224, 18655, 21105, 103, 47884, 111243, 5486, 109683, 19732, 104473, 117587, 112603, 30512, 122765, 30369, 16144, 38641, 9174, 58426, 17905, 5486, 103293, 102456, 55031, 117587, 105284, 30512, 99046, 224, 18655, 112990, 5486, 54, 16556, 104473, 117587, 112603, 29295, 17905, 123716, 54926, 103846, 122603, 104473, 117587, 115717, 126172, 117714, 38641, 9174, 110219, 5486, 103293, 102456, 102083, 116285, 5486, 48154, 114053, 5486, 124535, 5486, 115478, 61398, 5486, 111134, 101335, 108994, 104309, 117587, 105284, 29295, 127181, 102456, 30926, 29295, 127181, 38641, 123794, 9174, 58426, 103846, 5486, 117587, 105284, 29295, 127181, 102456, 30926, 55031, 122603, 47307, 115695, 29220, 105284, 9458, 45736, 102456, 53953, 103721, 232, 109205, 16144, 42634, 38248, 104, 103672, 26854, 102456, 30926, 20230, 104721, 105262, 30926, 16556, 5486, 117587, 105284, 30512, 126128, 105262, 105908, 108608, 16144, 38641, 9174, 53900, 5486, 103293, 102456, 30512, 125764, 100604, 6447, 102677, 116537, 5486, 103293, 102456, 30512, 125764, 100604, 17792, 126036, 104473, 117587, 112603, 29295, 105047, 17905, 123716, 54926, 103846, 109688, 117126, 59459, 104473, 117587, 112603, 22398, 80805, 125596, 107173, 127173, 33121, 33541, 23954, 14711, 114617, 244, 105284, 44416, 48249, 70141, 50834, 16144, 103293, 102456, 15682, 5486, 102456, 53953, 103721, 232, 109205, 30512, 37689, 109375, 54926, 100909, 198, 117587, 105284, 44416, 48249, 70141, 50834, 16144, 103293, 102456, 15682, 5486, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 54926, 100909, 38641, 9174, 103293, 102456, 16556, 117587, 105284, 29295, 83747, 103470, 102456, 53953, 103721, 232, 109205, 29295, 127181, 102456, 30926, 30512, 102647, 104369, 19732, 103293, 102456, 30512, 125764, 28713, 123470, 104473, 117587, 112603, 29295, 126128, 58942, 110071, 121142, 103470, 5486, 11881, 120, 102456, 30512, 125764, 28713, 74482, 72661, 104473, 117587, 112603, 30512, 126128, 105262, 8239, 114503, 29295, 125494, 125545, 59459, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 19732, 127173, 33121, 33541, 23954, 12, 106773, 32131, 99959, 123160, 102212, 108171, 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 ]
[ 104468, 109683, 26854, 30926, 77181, 57903, 33541, 29295, 5486, 33014, 121496, 57942, 103, 30512, 115079, 71289, 30813, 100604, 103846, 105352, 104473, 117587, 112603, 15682, 109020, 103854, 47884, 122765, 100604, 30926, 29295, 107693, 38641, 9174, 58426, 103846, 105352, 5486, 103293, 55031, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 103801, 109954, 627, 117876, 29295, 112008, 102800, 19732, 82973, 119703, 103846, 5486, 71493, 103830, 32131, 25005, 94, 16073, 71289, 86894, 241, 45829, 124535, 102083, 100472, 117587, 105284, 16144, 59657, 232, 30512, 125764, 29295, 43514, 125651, 9174, 33334, 11881, 120, 20230, 117587, 105284, 30512, 111098, 107674, 102456, 30926, 30512, 125764, 30369, 89783, 116664, 16144, 100604, 17792, 108680, 5486, 103293, 20230, 60868, 32131, 99959, 30512, 102456, 115694, 5486, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 30512, 108167, 17701, 104028, 125231, 38641, 9174, 567, 113978, 71493, 102860, 101198, 64178, 29295, 50928, 110071, 102456, 30926, 15682, 95532, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 30512, 50928, 30369, 124122, 120098, 15682, 5486, 34617, 59739, 57903, 33541, 9174, 16, 25, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 36668, 102456, 30512, 102647, 109416, 30297, 198, 17, 25, 102456, 53953, 103721, 232, 109205, 55031, 125764, 30369, 10110, 102212, 108171, 55031, 125764, 30369, 23954, 18, 25, 104754, 71289, 100845, 95, 30512, 125764, 30369, 198, 17905, 61304, 18, 59739, 30512, 37689, 109375, 54926, 121142, 5486, 16, 117073, 117591, 16556, 119869, 20230, 99046, 224, 100472, 102456, 30926, 29295, 5486, 17, 18904, 118322, 102456, 74482, 104473, 117587, 112603, 105352, 117375, 30512, 82317, 109416, 15024, 101402, 110104, 125764, 24273, 30512, 103350, 124299, 125545, 101832, 9174, 14711, 125389, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 36668, 102456, 30512, 102647, 109416, 30297, 198, 101828, 73361, 112197, 20230, 105557, 31431, 30512, 125764, 30369, 126036, 5486, 114797, 73361, 71289, 32977, 43514, 114452, 48154, 15682, 25827, 102083, 100472, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 36668, 102456, 30512, 125764, 17129, 109954, 9174, 112361, 124535, 72661, 5486, 102803, 114452, 124535, 105110, 102456, 53953, 103721, 232, 109205, 29295, 127181, 119627, 5486, 101828, 16995, 124535, 15682, 102456, 53953, 103721, 232, 109205, 29295, 83747, 103470, 117587, 105284, 16144, 59657, 232, 38641, 9174, 102456, 53953, 103721, 232, 109205, 29295, 119515, 105469, 26854, 119008, 30512, 119869, 20230, 125764, 104533, 5486, 104473, 117587, 112603, 16144, 105047, 17905, 123716, 71289, 121496, 105284, 16144, 107246, 110226, 30512, 126128, 58942, 102204, 33541, 9174, 101828, 73361, 105352, 102456, 53953, 103721, 232, 109205, 29295, 102717, 19732, 124592, 96412, 17129, 104028, 117587, 105284, 16144, 59657, 232, 119627, 5486, 32977, 43514, 114452, 48154, 114053, 9458, 114797, 73361, 102083, 100472, 102456, 53953, 103721, 232, 109205, 30512, 96412, 102189, 103167, 29134, 16144, 36668, 102456, 30512, 108882, 110993, 112535, 125764, 17129, 109954, 9174, 14711, 125389, 53953, 103721, 232, 109205, 55031, 125764, 30369, 10110, 102212, 108171, 55031, 125764, 30369, 23954, 102456, 30926, 16144, 112772, 60868, 32131, 99959, 30512, 125764, 115926, 5486, 102212, 108171, 29295, 28713, 108005, 115, 111331, 22398, 107610, 30512, 115320, 102189, 31431, 5486, 56235, 102508, 119, 116825, 102518, 101851, 106, 53953, 30512, 102456, 115694, 5486, 102456, 53953, 103721, 232, 109205, 30512, 125764, 30369, 121142, 104473, 117587, 112603, 120938, 123716, 15682, 126120, 96455, 114652, 126128, 58942, 110071, 102944, 38641, 9174, 103350, 104983, 20230, 5486, 605, 17620, 123628, 60868, 32131, 99959, 29295, 104473, 117587, 112603, 17905, 123716, 30512, 126128, 105262, 102473, 30512, 126362, 103801, 109954, 9174, 60868, 32131, 99959, 30512, 125764, 28713, 605, 17620, 123090, 5486, 71493, 44971, 108994, 112900, 198, 269, 198, 71493, 44971, 108994, 112900, 16144, 605, 17620, 123090, 5486, 60868, 32131, 99959, 198, 119775, 5486, 125764, 24273, 30512, 104721, 105262, 121142, 5486, 117587, 105284, 16144, 107246, 110226, 29295, 33354, 237, 71289, 32149, 115717, 5486, 76171, 22398, 107805, 16144, 17620, 14888, 234, 29295, 126128, 58942, 103468, 1811, 102677, 106592, 20379, 103792, 112973, 17297, 16144, 111629, 9174, 117811, 24186, 512, 102212, 108171, 52118, 47307, 115695, 29220, 105284, 52118, 36668, 102456, 16144, 110480, 16556, 125764, 104984, 5486, 105755, 104473, 117587, 112603, 120938, 123716, 30512, 100783, 102, 71289, 111201, 54926, 105908, 125545, 9174, 102212, 108171, 30512, 125764, 30369, 101513, 38093, 119703, 102677, 116537, 5486, 111108, 33420, 33208, 34171, 68408, 62903, 71634, 107805, 123160, 53610, 122026, 34171, 102456, 53953, 103721, 232, 109205, 29295, 51385, 47884, 105525, 113017, 105879, 90962, 22398, 22398, 39850, 9174, 111108, 33420, 33208, 34171, 68408, 62903, 71634, 107805, 112253, 122026, 34171, 102456, 53953, 103721, 232, 109205, 8, 46702, 125215, 15755, 229, 10110, 50034, 14167, 228, 120566, 25446, 7705, 11144, 108768, 33710, 57207, 38248, 104, 115695, 117383, 112479, 14711, 103879, 117, 71289, 100845, 95, 30512, 125764, 30369, 198, 102456, 53953, 103721, 232, 109205, 116749, 105352, 104473, 117587, 112603, 30512, 122765, 20230, 47884, 47884, 15024, 5486, 33420, 33208, 30512, 30250, 227, 117063, 30369, 125764, 53953, 16144, 66378, 17599, 112, 15682, 5486, 100845, 95, 5486, 104754, 38641, 9174, 100845, 95, 9458, 104754, 15682, 33420, 33208, 100845, 113, 72238, 16144, 122502, 50834, 30512, 112294, 47884, 54926, 30926, 16556, 5486, 104473, 117587, 112603, 120938, 123716, 30512, 100783, 102, 71289, 111201, 54926, 8239, 114503, 114792, 76947, 61689, 9174, 60868, 32131, 99959, 127303, 104984, 101335, 16073, 90962, 106696, 126194, 90962, 39850, 102472, 18, 30512, 43240, 47884, 96412, 104004, 127022, 108068, 109639, 104754, 124905, 100472, 45923, 44971, 26269, 57207, 94550, 124905, 30297, 102083, 100472, 104346, 20230, 5486, 103424, 105284, 26854, 104754, 30512, 108882, 110993, 112535, 99046, 224, 18655, 56051, 16995, 125651, 9174, 567, 220, 123011, 62004, 198, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 30512, 50928, 30369, 120098, 30512, 48154, 126362, 121256, 9174, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 30512, 50928, 30369, 102052, 5486, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 54926, 30926, 29295, 27384, 102769, 38641, 9174, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 119008, 15682, 104473, 117587, 112603, 29295, 115442, 112586, 47884, 16995, 104468, 32977, 43514, 85791, 116233, 29295, 5486, 33420, 33208, 32977, 106644, 121710, 31431, 26854, 105879, 108008, 20230, 113351, 110794, 29295, 114652, 108948, 113351, 29295, 35894, 50834, 20230, 47884, 115737, 31431, 33541, 9174, 58426, 103846, 5486, 64810, 71493, 102860, 101198, 64178, 30512, 37689, 109375, 54926, 121142, 5486, 101576, 102, 122101, 102456, 104654, 20230, 104721, 33208, 78434, 9174, 103293, 102456, 30512, 113487, 126145, 104473, 117587, 112603, 29295, 115442, 31431, 126172, 115737, 31431, 5486, 101402, 31431, 126172, 47884, 109020, 76947, 48154, 25359, 53283, 112130, 95532, 103293, 102456, 9458, 11881, 120, 102456, 30512, 110176, 24273, 19732, 100472, 107803, 19732, 57106, 115694, 5486, 103293, 102456, 30512, 19732, 121140, 20230, 11881, 120, 102456, 30512, 19732, 104533, 11881, 120, 102456, 123470, 104473, 117587, 112603, 120938, 123716, 111044, 29295, 119448, 47884, 5486, 17905, 123716, 56051, 121894, 29295, 101544, 47884, 106307, 102532, 114732, 103846, 5486, 101402, 31431, 126172, 47884, 109020, 116233, 9174, 567, 123318, 102456, 30512, 125764, 100604, 19732, 101402, 30369, 104468, 104405, 39926, 95532, 103293, 102456, 30512, 125764, 100604, 19732, 101402, 30369, 114667, 15682, 116898, 47884, 59739, 32149, 114667, 107407, 19732, 117952, 106824, 61689, 9174, 27452, 116285, 111476, 12, 123318, 102456, 30512, 19732, 110104, 118733, 5486, 104473, 117587, 112603, 120938, 123716, 15024, 126172, 47884, 109020, 198, 12, 122163, 16144, 121432, 37026, 33014, 29295, 114392, 30832, 112854, 109315, 105908, 103082, 101860, 75146, 17920, 236, 31640, 118835, 29295, 120175, 38144, 5486, 117178, 112624, 20230, 102971, 102802, 59739, 47884, 198, 12, 105697, 233, 107079, 29295, 76739, 124643, 104603, 11972, 39084, 103306, 17620, 50338, 84389, 5486, 31640, 118835, 29295, 120175, 30369, 198, 104309, 29295, 114667, 38641, 9174, 103293, 102456, 30512, 125764, 100604, 19732, 5486, 101402, 31431, 126172, 47884, 109020, 114667, 15682, 111338, 58911, 101182, 116233, 9174, 567, 125389, 30926, 16144, 125764, 24273, 16556, 5486, 104473, 117587, 112603, 29295, 114387, 20230, 124500, 30369, 106609, 16, 9080, 18, 102456, 30512, 125764, 30369, 107803, 19732, 5486, 103293, 102456, 30512, 113487, 102532, 16, 9080, 17, 102456, 125764, 30369, 107803, 16144, 104473, 117587, 112603, 29295, 102433, 103242, 104599, 38093, 16556, 126362, 110731, 105879, 64121, 38144, 64121, 17129, 109954, 9174, 103293, 102456, 30512, 125764, 100604, 107803, 5486, 11881, 120, 102456, 113468, 105047, 17905, 123716, 56051, 104473, 117587, 112603, 30512, 17297, 102639, 30369, 113009, 5486, 76171, 22398, 107805, 29295, 122333, 20230, 17620, 14888, 234, 84389, 5486, 104473, 117587, 112603, 30512, 17297, 102639, 101200, 19732, 78434, 9174, 51330, 105933, 104473, 117587, 112603, 16144, 105047, 17905, 123716, 5486, 105047, 104989, 17297, 15682, 33014, 111363, 109972, 106529, 32977, 108008, 20230, 119448, 16995, 121142, 103470, 117119, 105755, 117178, 112624, 115717, 126172, 115737, 31431, 33541, 9174, 103293, 102456, 30512, 113487, 47884, 118733, 5486, 99046, 224, 18655, 71493, 42634, 102540, 30512, 114485, 117063, 30369, 39850, 37823, 67075, 15682, 57903, 33541, 29295, 5486, 104473, 117587, 112603, 120938, 17297, 29295, 106266, 106624, 109020, 68408, 39850, 37823, 67075, 120332, 29295, 101860, 104043, 119448, 16995, 38641, 9174, 58426, 103846, 5486, 124807, 76739, 67075, 30512, 8239, 114503, 112535, 23039, 30297, 103846, 105352, 5486, 103293, 102456, 30512, 21105, 96, 107277, 19732, 108167, 17129, 109954, 9174, 103293, 102456, 30512, 125764, 30369, 104983, 15682, 5486, 103293, 102456, 16556, 117587, 105284, 29295, 83747, 103470, 102456, 53953, 103721, 232, 109205, 29295, 127181, 102456, 30926, 30512, 102647, 104369, 19732, 5486, 103293, 102456, 30512, 125764, 28713, 123470, 104473, 117587, 112603, 29295, 126128, 58942, 110071, 121142, 103470, 5486, 11881, 120, 102456, 30512, 125764, 28713, 74482, 72661, 104473, 117587, 112603, 30512, 126128, 105262, 8239, 114503, 29295, 125494, 125545, 97999, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 19732, 127173, 33121, 33541, 23954, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 116749, 105352, 5486, 103293, 102456, 20230, 28713, 25827, 2243, 109, 47884, 105284, 30512, 18655, 104533, 5486, 119049, 107079, 30512, 104195, 33208, 39926, 9080, 16325, 16144, 31640, 118835, 29295, 125494, 108608, 1811, 102083, 100472, 103293, 102456, 30512, 125764, 30369, 39850, 37823, 67075, 15682, 108008, 20230, 119448, 117714, 38641, 9174, 567, 220, 18, 102456, 107173, 117587, 105284, 44416, 48249, 29295, 43568, 22649, 105110, 5486, 103293, 102456, 55031, 42634, 38248, 104, 103672, 30512, 106081, 39926, 64121, 101200, 198, 103293, 9458, 11881, 120, 9458, 45114, 102, 19732, 121410, 102456, 5486, 117587, 105284, 30512, 125764, 100934, 19732, 13177, 117178, 112624, 103927, 33710, 124373, 10110, 76171, 22398, 107805, 7705, 10646, 29295, 45923, 102860, 16073, 19732, 17620, 14888, 234, 107001, 103846, 5486, 89783, 100472, 117587, 105284, 15682, 16325, 34171, 121496, 57942, 103, 20230, 104721, 109033, 116216, 33014, 121496, 57942, 103, 103306, 105623, 226, 58942, 33121, 33541, 9174, 58426, 103846, 5486, 18, 102456, 107173, 117587, 105284, 30512, 125764, 100934, 19732, 108948, 113351, 41642, 111331, 121496, 57942, 103, 29295, 45923, 102860, 16073, 115079, 58942, 100481, 47884, 15120, 24273, 38641, 9174, 567, 123318, 102456, 30512, 42634, 38248, 104, 103672, 117657, 39850, 37823, 67075, 15682, 119448, 16995, 198, 66378, 20230, 103293, 102456, 15682, 102456, 123470, 104473, 117587, 112603, 29295, 115442, 31431, 126172, 16995, 107271, 123577, 76739, 38248, 115, 78205, 16073, 105321, 38641, 9174, 102677, 123017, 5486, 103293, 72718, 50834, 104533, 33014, 123727, 103927, 33710, 124373, 10110, 13153, 101544, 103927, 33710, 124373, 5486, 47260, 33710, 118091, 78459, 64178, 7705, 123160, 103927, 33710, 124373, 15682, 5486, 102456, 30926, 55031, 117587, 105284, 30512, 99046, 224, 18655, 21105, 103, 47884, 111243, 5486, 109683, 19732, 104473, 117587, 112603, 30512, 122765, 30369, 16144, 38641, 9174, 58426, 17905, 5486, 103293, 102456, 55031, 117587, 105284, 30512, 99046, 224, 18655, 112990, 5486, 54, 16556, 104473, 117587, 112603, 29295, 17905, 123716, 54926, 103846, 122603, 104473, 117587, 115717, 126172, 117714, 38641, 9174, 110219, 5486, 103293, 102456, 102083, 116285, 5486, 48154, 114053, 5486, 124535, 5486, 115478, 61398, 5486, 111134, 101335, 108994, 104309, 117587, 105284, 29295, 127181, 102456, 30926, 29295, 127181, 38641, 123794, 9174, 58426, 103846, 5486, 117587, 105284, 29295, 127181, 102456, 30926, 55031, 122603, 47307, 115695, 29220, 105284, 9458, 45736, 102456, 53953, 103721, 232, 109205, 16144, 42634, 38248, 104, 103672, 26854, 102456, 30926, 20230, 104721, 105262, 30926, 16556, 5486, 117587, 105284, 30512, 126128, 105262, 105908, 108608, 16144, 38641, 9174, 53900, 5486, 103293, 102456, 30512, 125764, 100604, 6447, 102677, 116537, 5486, 103293, 102456, 30512, 125764, 100604, 17792, 126036, 104473, 117587, 112603, 29295, 105047, 17905, 123716, 54926, 103846, 109688, 117126, 59459, 104473, 117587, 112603, 22398, 80805, 125596, 107173, 127173, 33121, 33541, 23954, 14711, 114617, 244, 105284, 44416, 48249, 70141, 50834, 16144, 103293, 102456, 15682, 5486, 102456, 53953, 103721, 232, 109205, 30512, 37689, 109375, 54926, 100909, 198, 117587, 105284, 44416, 48249, 70141, 50834, 16144, 103293, 102456, 15682, 5486, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 54926, 100909, 38641, 9174, 103293, 102456, 16556, 117587, 105284, 29295, 83747, 103470, 102456, 53953, 103721, 232, 109205, 29295, 127181, 102456, 30926, 30512, 102647, 104369, 19732, 103293, 102456, 30512, 125764, 28713, 123470, 104473, 117587, 112603, 29295, 126128, 58942, 110071, 121142, 103470, 5486, 11881, 120, 102456, 30512, 125764, 28713, 74482, 72661, 104473, 117587, 112603, 30512, 126128, 105262, 8239, 114503, 29295, 125494, 125545, 59459, 64810, 71493, 102860, 101198, 64178, 8239, 114503, 19732, 127173, 33121, 33541, 23954, 12, 106773, 32131, 99959, 123160, 102212, 108171, 198 ]
[ 12, 45631, 32977, 43514, 114452, 48154, 15682, 25827, 10646, 123160, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 73361, 104770, 198, 12, 45631, 52884, 93488, 124535, 10646, 123160, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 124535, 198, 123160, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 119008, 30512, 99046, 224, 18655, 103801, 109954, 9174, 103293, 55031, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 54926, 112973, 111108, 102800, 116537, 5486, 111108, 33420, 33208, 34171, 68408, 62903, 71634, 107805, 9458, 25197, 125864, 107805, 102083, 100472, 115320, 64121, 53953, 20230, 107960, 112371, 30369, 80805, 65299, 126567, 103397, 16144, 102456, 53953, 103721, 232, 109205, 72661, 104712, 123253, 9174, 11881, 120, 15682, 107430, 75267, 16556, 125764, 115926, 5486, 103309, 48154, 114053, 15682, 48915, 102456, 54926, 101513, 38093, 29295, 127181, 17792, 32977, 5486, 103293, 48154, 15682, 103171, 33503, 37026, 110362, 16556, 125764, 30369, 114754, 127181, 106046, 61689, 9174, 18, 102456, 107173, 117587, 105284, 44416, 48249, 29295, 43568, 22649, 105110, 5486, 103293, 102456, 55031, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 39926, 72315, 9174, 103293, 102456, 55031, 102456, 53953, 103721, 232, 109205, 30512, 18655, 30369, 118733, 5486, 11881, 120, 48154, 15682, 104127, 99046, 224, 18655, 54926, 117587, 105284, 16144, 107246, 110226, 32977, 126128, 107290, 124089, 16144, 38641, 1811, 128001, 128000, 105107, 67178, 71289, 33563, 106154, 16144, 102321, 75267, 121960, 19967, 101275, 126120, 96455, 16144, 70141, 17905, 15682, 105243, 110596, 16144, 51609, 104482, 16144, 115303, 59739, 102083, 105262, 1811, 105107, 25446, 16144, 43240, 103826, 33208, 30512, 124858, 20230, 5486, 19967, 101275, 46034, 110480, 32977, 115079, 58942, 100934, 103846, 5486, 102832, 57933, 93488, 102083, 58942, 67645, 32977, 112854, 58942, 102204, 100604, 105908, 101182, 1811, 110924, 16556, 5486, 25446, 105284, 124001, 105184, 103350, 34171, 30512, 45736, 109315, 46034, 38574, 103306, 5486, 105107, 67178, 71289, 33563, 106154, 16144, 102321, 75267, 20230, 106839, 17701, 29295, 108285, 29295, 103836, 112973, 5486, 76739, 57326, 102741, 113883, 124131, 84477, 111134, 22398, 13177, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 10646, 36785, 9174, 33420, 106382, 30046, 78683, 106240, 16144, 43240, 103826, 33208, 71289, 41758, 42634, 112164, 33710, 114300, 106106, 16144, 106266, 33208, 104309, 30512, 124858, 20230, 5486, 102944, 109669, 47884, 111331, 102321, 75267, 77181, 85701, 103296, 71689, 16144, 104721, 107804, 29295, 32018, 62004, 125398, 9174, 28713, 19732, 116285, 110745, 33857, 21990, 106518, 30512, 102832, 61398, 20230, 21105, 103, 29295, 33503, 14167, 100, 65854, 16144, 102159, 103283, 78683, 106240, 20230, 106608, 107290, 15120, 25446, 101860, 59739, 108901, 109020, 105107, 25446, 30512, 21990, 64121, 121406, 13177, 68759, 22398, 9458, 71493, 105335, 68759, 25197, 108270, 38248, 115, 78205, 16073, 10110, 102159, 103283, 122333, 21990, 106518, 7705, 10646, 32977, 5486, 104721, 107804, 30512, 113096, 103792, 107693, 26854, 20251, 44971, 102860, 16144, 115303, 59739, 102083, 105262, 108995, 1811, 113404, 71289, 21990, 106518, 16144, 123782, 33208, 30512, 111629, 31431, 59739, 59739, 5486, 964, 123141, 30512, 106839, 17701, 54926, 104309, 39926, 70563, 26269, 119557, 64467, 20379, 71289, 21990, 106518, 64467, 20379, 30512, 102159, 103283, 33208, 15024, 5486, 117903, 16144, 78683, 106240, 20230, 106608, 105262, 43240, 103826, 26854, 105107, 25446, 30512, 21990, 64121, 121406, 106548, 103214, 64121, 30512, 106391, 113638, 109768, 107188, 118145, 105110, 100604, 9174, 115963, 20230, 5486, 17792, 46034, 127242, 29295, 105424, 81219, 104028, 118288, 37271, 29295, 106644, 58942, 5486, 106613, 111186, 16144, 124834, 16995, 19967, 101275, 102351, 29295, 103214, 80195, 30512, 126913, 56051, 107803, 72661, 105107, 25446, 16144, 25446, 105284, 30512, 109205, 69978, 108608, 105933, 106548, 115856, 76622, 19967, 31431, 32977, 107693, 117084, 109749, 9174, 53900, 5486, 21990, 106518, 120370, 71289, 101513, 109472, 16144, 39850, 108304, 96452, 107446, 32977, 111681, 104482, 103306, 123680, 102639, 110071, 1811, 120370, 16144, 28190, 105987, 30512, 101544, 116033, 6823, 246, 76947, 91774, 106307, 107441, 105898, 102832, 57933, 93488, 123532, 101275, 102351, 16144, 56906, 107430, 71289, 108436, 108847, 113468, 5486, 39850, 108304, 96452, 107446, 19967, 101275, 16144, 101335, 65299, 102040, 65299, 29295, 46034, 116213, 101983, 103836, 102321, 75267, 15682, 127181, 19732, 84389, 5486, 106613, 111186, 20230, 103963, 25359, 21105, 103, 16995, 46034, 110480, 16144, 105184, 80195, 29295, 105047, 102781, 104856, 103836, 55031, 36785, 1811, 126738, 5486, 118372, 16144, 122434, 111848, 101513, 38093, 125173, 21388, 30512, 32335, 31809, 33208, 119607, 19732, 5486, 120370, 71289, 101513, 109472, 20230, 113714, 118718, 30512, 99741, 100815, 39926, 33334, 50834, 5486, 113714, 57207, 94550, 56051, 119526, 55031, 108901, 40053, 91875, 19967, 71289, 104604, 108502, 16144, 103911, 6708, 228, 30512, 19732, 33503, 107290, 103911, 103181, 112535, 39850, 108304, 96452, 107446, 117824, 33334, 30297, 102677, 108167, 103214, 64121, 32977, 15120, 34048, 102052, 91774, 110071, 29295, 5486, 43240, 109518, 16144, 126330, 29295, 109215, 103195, 9174, 102944, 109669, 47884, 112586, 112183, 30297, 108895, 56051, 111681, 104482, 30512, 50338, 104662, 54926, 46034, 38574, 103306, 5486, 39850, 102472, 102750, 25287, 16144, 111234, 39880, 32131, 112193, 68408, 66953, 112900, 103195, 116898, 78183, 106644, 30369, 13177, 124131, 84477, 111134, 22398, 118587, 106839, 17701, 15024, 76706, 11883, 54926, 114435, 29295, 83747, 21105, 248, 59739, 115079, 58942, 100934, 9174, 124131, 84477, 111134, 22398, 15682, 5486, 72404, 31809, 25287, 107420, 109531, 29220, 102514, 30512, 103214, 64121, 104526, 102189, 123646, 103202, 19732, 5486, 107420, 109531, 29220, 102514, 16556, 80172, 106482, 56051, 106482, 66201, 30512, 103984, 102212, 107809, 20230, 101426, 48864, 112535, 30358, 101832, 114146, 30369, 119389, 111999, 78525, 16556, 106391, 13153, 110731, 1811, 80172, 106482, 56051, 115240, 71289, 88435, 104309, 29295, 118322, 112772, 111179, 32149, 104127, 91774, 105262, 112973, 124131, 84477, 111134, 117718, 66378, 17599, 112, 16556, 5486, 110176, 46034, 29295, 108481, 29295, 110104, 112973, 27384, 112495, 39850, 37823, 67075, 36785, 9174, 124131, 84477, 111134, 22398, 30512, 33035, 100204, 38144, 64467, 20379, 71289, 46034, 110480, 126694, 101275, 30046, 20230, 126120, 96455, 112535, 108044, 105262, 105908, 108608, 100909, 55031, 5486, 103214, 80195, 19967, 101275, 5486, 39850, 108304, 96452, 107446, 19967, 101275, 5486, 70563, 26269, 119557, 71289, 125242, 11239, 116, 21105, 103, 67645, 16144, 114035, 107086, 19967, 101275, 123160, 126120, 96455, 33208, 30512, 111629, 30369, 105908, 108608, 9174, 110924, 16556, 5486, 121101, 11883, 16144, 124131, 84477, 111134, 117718, 106691, 109904, 123604, 103195, 76739, 57326, 102741, 113883, 13177, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 116326, 111629, 16, 7705, 30512, 76706, 11883, 103792, 114435, 30926, 27452, 30512, 126362, 119607, 9174, 116622, 23530, 20230, 22656, 61337, 30512, 22324, 47884, 102663, 121294, 39850, 38248, 104, 115247, 41, 26873, 50, 121450, 10110, 1322, 21795, 12, 1049, 15, 118587, 106839, 17701, 56051, 9174, 102663, 121294, 15682, 108936, 20230, 5486, 107969, 16556, 122026, 32149, 56051, 111108, 114887, 34171, 89154, 37823, 68759, 11972, 123160, 111398, 121496, 30512, 106839, 33014, 10110, 103842, 227, 101911, 104309, 7705, 20230, 101307, 117633, 39926, 105107, 67178, 54926, 1811, 90620, 15024, 102663, 121294, 104091, 113468, 15682, 5486, 58843, 248, 31431, 114146, 5486, 57207, 116168, 104817, 64121, 103214, 64121, 5486, 57207, 61398, 10110, 123050, 101307, 117633, 7705, 102083, 100472, 109242, 122202, 26854, 104010, 30512, 106613, 30369, 107803, 32977, 101182, 9174, 102663, 109229, 114615, 11883, 108968, 113468, 5486, 106839, 33014, 10110, 125364, 101911, 120732, 101402, 30813, 71289, 22656, 9039, 5486, 58843, 248, 31431, 9039, 71289, 105714, 48634, 5486, 115924, 102057, 223, 33014, 108321, 16144, 45918, 246, 101721, 96455, 5486, 57207, 116168, 16144, 19361, 43568, 71289, 106391, 67178, 5486, 101307, 117633, 111398, 121496, 16144, 112950, 64121, 104309, 5486, 106548, 103826, 29295, 104398, 32149, 47884, 108901, 26854, 103836, 103846, 5486, 38574, 108167, 109913, 58942, 71289, 102208, 105107, 67178, 123128, 16144, 50034, 115590, 26854, 104873, 64531, 117824, 16995, 106272, 43240, 25446, 104091, 16144, 21990, 106518, 113115, 106608, 103792, 29295, 5486, 105107, 67178, 123128, 16144, 117355, 50034, 26854, 16937, 104873, 104309, 16556, 118372, 29295, 122434, 54926, 102677, 109606, 29295, 83747, 26854, 55031, 101860, 72718, 50834, 101732, 102677, 9174, 13177, 8107, 56965, 16144, 21990, 106518, 122434, 82973, 15682, 1399, 82973, 20230, 104067, 109768, 79721, 66383, 5486, 42016, 61337, 16144, 18655, 126233, 107734, 16556, 101721, 101911, 118482, 34048, 35469, 113, 107086, 49792, 75267, 101544, 30512, 102781, 109315, 104500, 22656, 72125, 102216, 105514, 15682, 117382, 16144, 111681, 104482, 30512, 123927, 104196, 30369, 1811, 118372, 122434, 29295, 102404, 21990, 56051, 126513, 5486, 14167, 100, 65854, 108446, 23538, 113115, 106608, 54926, 103846, 104010, 30512, 103214, 64121, 109913, 107290, 21990, 106518, 110480, 30512, 104721, 105262, 115789, 43240, 47884, 5486, 126238, 105047, 109904, 103214, 64121, 109033, 58942, 20230, 31634, 54926, 82973, 30512, 96412, 62004, 104533, 8107, 56965, 16144, 109337, 103854, 122434, 82973, 15682, 1041, 82973, 108680, 20230, 104067, 15024, 5486, 125173, 21388, 109518, 15682, 3965, 15, 110743, 71689, 19732, 84851, 23187, 84389, 101732, 9174, 118372, 122434, 16144, 113385, 15682, 117355, 50034, 26854, 102944, 29295, 43240, 47884, 5486, 112825, 110904, 26854, 104873, 64531, 71289, 80805, 109089, 16144, 39209, 109033, 121142, 102717, 19732, 124592, 29295, 50338, 104662, 54926, 102944, 16144, 36896, 117271, 54926, 83301, 33857, 107407, 40452, 123113, 30046, 29295, 110596, 113849, 30590, 20230, 102334, 107803, 104309, 5486, 109095, 110298, 20230, 82973, 29295, 32149, 117295, 105908, 111681, 104482, 104856, 107462, 79721, 66383, 104500, 22656, 105514, 29295, 122984, 54926, 104466, 5486, 118649, 95399, 26854, 117271, 29295, 118765, 105908, 118372, 122434, 30512, 101544, 73686, 32149, 127397, 114732, 113385, 16144, 115303, 59739, 101983, 106358, 9174, 102131, 56051, 111681, 104482, 30512, 50338, 104662, 54926, 113009, 42016, 61337, 29295, 121507, 56051, 112973, 5486, 76739, 57326, 102741, 113883, 124131, 84477, 111134, 22398, 13177, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 10646, 103195, 10110, 111629, 17, 5486, 111629, 18, 75376, 19967, 101275, 30046, 15682, 39850, 108304, 96452, 107446, 64467, 20379, 102181, 123160, 106482, 66201, 30512, 114181, 106272, 110176, 46034, 29295, 35894, 102334, 121894, 16556, 19967, 101275, 29295, 108608, 100909, 108948, 119517, 5486, 19967, 101275, 30046, 103984, 28542, 16556, 125152, 58322, 56051, 106482, 66201, 30512, 110596, 113849, 30590, 20230, 107991, 40452, 30046, 20230, 37705, 22023, 54926, 105908, 88367, 26854, 103846, 5486, 40452, 123113, 30046, 29295, 102321, 75267, 20230, 16995, 103470, 111243, 110596, 113849, 16556, 127749, 30512, 102178, 111665, 15024, 64467, 20379, 30512, 58318, 58942, 110071, 100909, 5486, 104309, 29295, 102647, 23187, 16144, 114667, 36785, 9174, 42016, 61337, 77181, 36896, 109606, 29295, 102404, 21990, 56051, 74245, 123090, 109095, 110298, 103082, 104984, 5486, 125173, 21388, 82973, 30512, 1135, 113127, 103167, 114485, 103082, 104533, 78698, 107290, 61689, 116326, 104500, 22656, 105514, 7705, 110792, 91774, 33035, 119432, 32977, 19732, 5486, 106839, 17701, 16144, 102048, 234, 110895, 117282, 679, 21, 110895, 102052, 8107, 56965, 2636, 110743, 113314, 16144, 125173, 21388, 21403, 232, 114485, 104088, 104526, 126559, 118855, 5486, 105107, 67178, 123128, 16144, 118649, 95399, 26854, 23951, 109095, 103378, 126194, 5486, 28713, 19732, 116285, 101307, 117633, 104010, 113245, 123782, 102181, 71289, 61633, 30926, 105904, 30512, 104010, 19967, 101275, 112919, 13177, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 10646, 20230, 80172, 106482, 54926, 118733, 5486, 105390, 101198, 22398, 30512, 113385, 117408, 16937, 103424, 16144, 61056, 21418, 105352, 59739, 26854, 102639, 102204, 104533, 16144, 125494, 30512, 20379, 103792, 9174, 41, 26873, 50, 77181, 102741, 112508, 111234, 39880, 16144, 101682, 29245, 245, 122401, 32977, 23039, 76947, 108086, 36896, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 10646, 11883, 16144, 102741, 112508, 111234, 39880, 32977, 37026, 61337, 32943, 16556, 122401, 56051, 102677, 1811, 122401, 30512, 126913, 56051, 42016, 61337, 18655, 126233, 107734, 16556, 20251, 108337, 33710, 102741, 37823, 72369, 38248, 115, 78205, 16073, 34048, 112675, 101544, 30512, 102781, 109315, 110622, 103932, 80866, 15120, 105514, 15682, 122603, 50338, 66201, 27479, 71493, 127194, 19732, 45736, 119883, 27479, 103857, 22398, 57326, 108748, 29295, 118935, 11883, 110731, 103846, 103984, 104736, 34171, 29295, 103424, 47884, 120268, 30813, 26854, 88435, 32977, 110596, 113849, 110366, 19732, 19967, 101275, 112919, 104836, 70141, 29295, 98499, 104004, 105908, 108608, 28542, 71289, 5486, 108768, 105404, 109753, 16144, 99741, 100815, 34171, 71289, 45144, 227, 17044, 95, 34171, 29295, 104622, 115032, 28542, 104309, 30512, 107624, 95001, 103792, 1811, 128001, 128000, 120987, 76947, 5486, 103188, 86436, 117758, 106084, 30926, 71289, 102321, 103397, 16144, 113702, 29295, 85701, 55031, 61826, 20230, 125119, 30369, 120266, 117375, 30512, 58318, 58942, 104533, 110219, 15682, 113727, 29295, 43514, 125743, 5486, 39135, 103171, 22656, 71289, 52884, 77750, 30512, 98499, 104127, 64121, 104533, 5486, 103350, 15682, 108010, 30297, 76947, 105908, 17620, 32149, 121118, 105879, 106116, 115195, 30512, 121846, 20230, 86127, 26854, 112586, 31634, 103664, 39926, 64121, 28713, 57980, 9174, 6271, 237, 100927, 107809, 20230, 5486, 82973, 15682, 13177, 103188, 86436, 55031, 120987, 20230, 10646, 89753, 104028, 16144, 126194, 36896, 120987, 55031, 10646, 89753, 106824, 109749, 102944, 5486, 102677, 113727, 24273, 107407, 102131, 38641, 9174, 13177, 37271, 117503, 102321, 103350, 116825, 47884, 103836, 113385, 15682, 13177, 103188, 86436, 10646, 126194, 13177, 120987, 10646, 117083, 5486, 102677, 30926, 114420, 9174, 104405, 95604, 100909, 32149, 102677, 19732, 106609, 37271, 16144, 105994, 116825, 47884, 103836, 112973, 103188, 86436, 118816, 113727, 104533, 36896, 37271, 16144, 105994, 29295, 106515, 72342, 16556, 100604, 104468, 16937, 106515, 26854, 118006, 117501, 16556, 101662, 100472, 55031, 36785, 59712, 45829, 67645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12, 45631, 32977, 43514, 114452, 48154, 15682, 25827, 10646, 123160, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 73361, 104770, 198, 12, 45631, 52884, 93488, 124535, 10646, 123160, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 124535, 198, 123160, 102456, 53953, 103721, 232, 109205, 30512, 43240, 47884, 96412, 104004, 119008, 30512, 99046, 224, 18655, 103801, 109954, 9174, 103293, 55031, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 54926, 112973, 111108, 102800, 116537, 5486, 111108, 33420, 33208, 34171, 68408, 62903, 71634, 107805, 9458, 25197, 125864, 107805, 102083, 100472, 115320, 64121, 53953, 20230, 107960, 112371, 30369, 80805, 65299, 126567, 103397, 16144, 102456, 53953, 103721, 232, 109205, 72661, 104712, 123253, 9174, 11881, 120, 15682, 107430, 75267, 16556, 125764, 115926, 5486, 103309, 48154, 114053, 15682, 48915, 102456, 54926, 101513, 38093, 29295, 127181, 17792, 32977, 5486, 103293, 48154, 15682, 103171, 33503, 37026, 110362, 16556, 125764, 30369, 114754, 127181, 106046, 61689, 9174, 18, 102456, 107173, 117587, 105284, 44416, 48249, 29295, 43568, 22649, 105110, 5486, 103293, 102456, 55031, 102456, 53953, 103721, 232, 109205, 30512, 21105, 96, 107277, 19732, 99046, 224, 18655, 39926, 72315, 9174, 103293, 102456, 55031, 102456, 53953, 103721, 232, 109205, 30512, 18655, 30369, 118733, 5486, 11881, 120, 48154, 15682, 104127, 99046, 224, 18655, 54926, 117587, 105284, 16144, 107246, 110226, 32977, 126128, 107290, 124089, 16144, 38641, 1811, 128001, 128000, 105107, 67178, 71289, 33563, 106154, 16144, 102321, 75267, 121960, 19967, 101275, 126120, 96455, 16144, 70141, 17905, 15682, 105243, 110596, 16144, 51609, 104482, 16144, 115303, 59739, 102083, 105262, 1811, 105107, 25446, 16144, 43240, 103826, 33208, 30512, 124858, 20230, 5486, 19967, 101275, 46034, 110480, 32977, 115079, 58942, 100934, 103846, 5486, 102832, 57933, 93488, 102083, 58942, 67645, 32977, 112854, 58942, 102204, 100604, 105908, 101182, 1811, 110924, 16556, 5486, 25446, 105284, 124001, 105184, 103350, 34171, 30512, 45736, 109315, 46034, 38574, 103306, 5486, 105107, 67178, 71289, 33563, 106154, 16144, 102321, 75267, 20230, 106839, 17701, 29295, 108285, 29295, 103836, 112973, 5486, 76739, 57326, 102741, 113883, 124131, 84477, 111134, 22398, 13177, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 10646, 36785, 9174, 33420, 106382, 30046, 78683, 106240, 16144, 43240, 103826, 33208, 71289, 41758, 42634, 112164, 33710, 114300, 106106, 16144, 106266, 33208, 104309, 30512, 124858, 20230, 5486, 102944, 109669, 47884, 111331, 102321, 75267, 77181, 85701, 103296, 71689, 16144, 104721, 107804, 29295, 32018, 62004, 125398, 9174, 28713, 19732, 116285, 110745, 33857, 21990, 106518, 30512, 102832, 61398, 20230, 21105, 103, 29295, 33503, 14167, 100, 65854, 16144, 102159, 103283, 78683, 106240, 20230, 106608, 107290, 15120, 25446, 101860, 59739, 108901, 109020, 105107, 25446, 30512, 21990, 64121, 121406, 13177, 68759, 22398, 9458, 71493, 105335, 68759, 25197, 108270, 38248, 115, 78205, 16073, 10110, 102159, 103283, 122333, 21990, 106518, 7705, 10646, 32977, 5486, 104721, 107804, 30512, 113096, 103792, 107693, 26854, 20251, 44971, 102860, 16144, 115303, 59739, 102083, 105262, 108995, 1811, 113404, 71289, 21990, 106518, 16144, 123782, 33208, 30512, 111629, 31431, 59739, 59739, 5486, 964, 123141, 30512, 106839, 17701, 54926, 104309, 39926, 70563, 26269, 119557, 64467, 20379, 71289, 21990, 106518, 64467, 20379, 30512, 102159, 103283, 33208, 15024, 5486, 117903, 16144, 78683, 106240, 20230, 106608, 105262, 43240, 103826, 26854, 105107, 25446, 30512, 21990, 64121, 121406, 106548, 103214, 64121, 30512, 106391, 113638, 109768, 107188, 118145, 105110, 100604, 9174, 115963, 20230, 5486, 17792, 46034, 127242, 29295, 105424, 81219, 104028, 118288, 37271, 29295, 106644, 58942, 5486, 106613, 111186, 16144, 124834, 16995, 19967, 101275, 102351, 29295, 103214, 80195, 30512, 126913, 56051, 107803, 72661, 105107, 25446, 16144, 25446, 105284, 30512, 109205, 69978, 108608, 105933, 106548, 115856, 76622, 19967, 31431, 32977, 107693, 117084, 109749, 9174, 53900, 5486, 21990, 106518, 120370, 71289, 101513, 109472, 16144, 39850, 108304, 96452, 107446, 32977, 111681, 104482, 103306, 123680, 102639, 110071, 1811, 120370, 16144, 28190, 105987, 30512, 101544, 116033, 6823, 246, 76947, 91774, 106307, 107441, 105898, 102832, 57933, 93488, 123532, 101275, 102351, 16144, 56906, 107430, 71289, 108436, 108847, 113468, 5486, 39850, 108304, 96452, 107446, 19967, 101275, 16144, 101335, 65299, 102040, 65299, 29295, 46034, 116213, 101983, 103836, 102321, 75267, 15682, 127181, 19732, 84389, 5486, 106613, 111186, 20230, 103963, 25359, 21105, 103, 16995, 46034, 110480, 16144, 105184, 80195, 29295, 105047, 102781, 104856, 103836, 55031, 36785, 1811, 126738, 5486, 118372, 16144, 122434, 111848, 101513, 38093, 125173, 21388, 30512, 32335, 31809, 33208, 119607, 19732, 5486, 120370, 71289, 101513, 109472, 20230, 113714, 118718, 30512, 99741, 100815, 39926, 33334, 50834, 5486, 113714, 57207, 94550, 56051, 119526, 55031, 108901, 40053, 91875, 19967, 71289, 104604, 108502, 16144, 103911, 6708, 228, 30512, 19732, 33503, 107290, 103911, 103181, 112535, 39850, 108304, 96452, 107446, 117824, 33334, 30297, 102677, 108167, 103214, 64121, 32977, 15120, 34048, 102052, 91774, 110071, 29295, 5486, 43240, 109518, 16144, 126330, 29295, 109215, 103195, 9174, 102944, 109669, 47884, 112586, 112183, 30297, 108895, 56051, 111681, 104482, 30512, 50338, 104662, 54926, 46034, 38574, 103306, 5486, 39850, 102472, 102750, 25287, 16144, 111234, 39880, 32131, 112193, 68408, 66953, 112900, 103195, 116898, 78183, 106644, 30369, 13177, 124131, 84477, 111134, 22398, 118587, 106839, 17701, 15024, 76706, 11883, 54926, 114435, 29295, 83747, 21105, 248, 59739, 115079, 58942, 100934, 9174, 124131, 84477, 111134, 22398, 15682, 5486, 72404, 31809, 25287, 107420, 109531, 29220, 102514, 30512, 103214, 64121, 104526, 102189, 123646, 103202, 19732, 5486, 107420, 109531, 29220, 102514, 16556, 80172, 106482, 56051, 106482, 66201, 30512, 103984, 102212, 107809, 20230, 101426, 48864, 112535, 30358, 101832, 114146, 30369, 119389, 111999, 78525, 16556, 106391, 13153, 110731, 1811, 80172, 106482, 56051, 115240, 71289, 88435, 104309, 29295, 118322, 112772, 111179, 32149, 104127, 91774, 105262, 112973, 124131, 84477, 111134, 117718, 66378, 17599, 112, 16556, 5486, 110176, 46034, 29295, 108481, 29295, 110104, 112973, 27384, 112495, 39850, 37823, 67075, 36785, 9174, 124131, 84477, 111134, 22398, 30512, 33035, 100204, 38144, 64467, 20379, 71289, 46034, 110480, 126694, 101275, 30046, 20230, 126120, 96455, 112535, 108044, 105262, 105908, 108608, 100909, 55031, 5486, 103214, 80195, 19967, 101275, 5486, 39850, 108304, 96452, 107446, 19967, 101275, 5486, 70563, 26269, 119557, 71289, 125242, 11239, 116, 21105, 103, 67645, 16144, 114035, 107086, 19967, 101275, 123160, 126120, 96455, 33208, 30512, 111629, 30369, 105908, 108608, 9174, 110924, 16556, 5486, 121101, 11883, 16144, 124131, 84477, 111134, 117718, 106691, 109904, 123604, 103195, 76739, 57326, 102741, 113883, 13177, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 116326, 111629, 16, 7705, 30512, 76706, 11883, 103792, 114435, 30926, 27452, 30512, 126362, 119607, 9174, 116622, 23530, 20230, 22656, 61337, 30512, 22324, 47884, 102663, 121294, 39850, 38248, 104, 115247, 41, 26873, 50, 121450, 10110, 1322, 21795, 12, 1049, 15, 118587, 106839, 17701, 56051, 9174, 102663, 121294, 15682, 108936, 20230, 5486, 107969, 16556, 122026, 32149, 56051, 111108, 114887, 34171, 89154, 37823, 68759, 11972, 123160, 111398, 121496, 30512, 106839, 33014, 10110, 103842, 227, 101911, 104309, 7705, 20230, 101307, 117633, 39926, 105107, 67178, 54926, 1811, 90620, 15024, 102663, 121294, 104091, 113468, 15682, 5486, 58843, 248, 31431, 114146, 5486, 57207, 116168, 104817, 64121, 103214, 64121, 5486, 57207, 61398, 10110, 123050, 101307, 117633, 7705, 102083, 100472, 109242, 122202, 26854, 104010, 30512, 106613, 30369, 107803, 32977, 101182, 9174, 102663, 109229, 114615, 11883, 108968, 113468, 5486, 106839, 33014, 10110, 125364, 101911, 120732, 101402, 30813, 71289, 22656, 9039, 5486, 58843, 248, 31431, 9039, 71289, 105714, 48634, 5486, 115924, 102057, 223, 33014, 108321, 16144, 45918, 246, 101721, 96455, 5486, 57207, 116168, 16144, 19361, 43568, 71289, 106391, 67178, 5486, 101307, 117633, 111398, 121496, 16144, 112950, 64121, 104309, 5486, 106548, 103826, 29295, 104398, 32149, 47884, 108901, 26854, 103836, 103846, 5486, 38574, 108167, 109913, 58942, 71289, 102208, 105107, 67178, 123128, 16144, 50034, 115590, 26854, 104873, 64531, 117824, 16995, 106272, 43240, 25446, 104091, 16144, 21990, 106518, 113115, 106608, 103792, 29295, 5486, 105107, 67178, 123128, 16144, 117355, 50034, 26854, 16937, 104873, 104309, 16556, 118372, 29295, 122434, 54926, 102677, 109606, 29295, 83747, 26854, 55031, 101860, 72718, 50834, 101732, 102677, 9174, 13177, 8107, 56965, 16144, 21990, 106518, 122434, 82973, 15682, 1399, 82973, 20230, 104067, 109768, 79721, 66383, 5486, 42016, 61337, 16144, 18655, 126233, 107734, 16556, 101721, 101911, 118482, 34048, 35469, 113, 107086, 49792, 75267, 101544, 30512, 102781, 109315, 104500, 22656, 72125, 102216, 105514, 15682, 117382, 16144, 111681, 104482, 30512, 123927, 104196, 30369, 1811, 118372, 122434, 29295, 102404, 21990, 56051, 126513, 5486, 14167, 100, 65854, 108446, 23538, 113115, 106608, 54926, 103846, 104010, 30512, 103214, 64121, 109913, 107290, 21990, 106518, 110480, 30512, 104721, 105262, 115789, 43240, 47884, 5486, 126238, 105047, 109904, 103214, 64121, 109033, 58942, 20230, 31634, 54926, 82973, 30512, 96412, 62004, 104533, 8107, 56965, 16144, 109337, 103854, 122434, 82973, 15682, 1041, 82973, 108680, 20230, 104067, 15024, 5486, 125173, 21388, 109518, 15682, 3965, 15, 110743, 71689, 19732, 84851, 23187, 84389, 101732, 9174, 118372, 122434, 16144, 113385, 15682, 117355, 50034, 26854, 102944, 29295, 43240, 47884, 5486, 112825, 110904, 26854, 104873, 64531, 71289, 80805, 109089, 16144, 39209, 109033, 121142, 102717, 19732, 124592, 29295, 50338, 104662, 54926, 102944, 16144, 36896, 117271, 54926, 83301, 33857, 107407, 40452, 123113, 30046, 29295, 110596, 113849, 30590, 20230, 102334, 107803, 104309, 5486, 109095, 110298, 20230, 82973, 29295, 32149, 117295, 105908, 111681, 104482, 104856, 107462, 79721, 66383, 104500, 22656, 105514, 29295, 122984, 54926, 104466, 5486, 118649, 95399, 26854, 117271, 29295, 118765, 105908, 118372, 122434, 30512, 101544, 73686, 32149, 127397, 114732, 113385, 16144, 115303, 59739, 101983, 106358, 9174, 102131, 56051, 111681, 104482, 30512, 50338, 104662, 54926, 113009, 42016, 61337, 29295, 121507, 56051, 112973, 5486, 76739, 57326, 102741, 113883, 124131, 84477, 111134, 22398, 13177, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 10646, 103195, 10110, 111629, 17, 5486, 111629, 18, 75376, 19967, 101275, 30046, 15682, 39850, 108304, 96452, 107446, 64467, 20379, 102181, 123160, 106482, 66201, 30512, 114181, 106272, 110176, 46034, 29295, 35894, 102334, 121894, 16556, 19967, 101275, 29295, 108608, 100909, 108948, 119517, 5486, 19967, 101275, 30046, 103984, 28542, 16556, 125152, 58322, 56051, 106482, 66201, 30512, 110596, 113849, 30590, 20230, 107991, 40452, 30046, 20230, 37705, 22023, 54926, 105908, 88367, 26854, 103846, 5486, 40452, 123113, 30046, 29295, 102321, 75267, 20230, 16995, 103470, 111243, 110596, 113849, 16556, 127749, 30512, 102178, 111665, 15024, 64467, 20379, 30512, 58318, 58942, 110071, 100909, 5486, 104309, 29295, 102647, 23187, 16144, 114667, 36785, 9174, 42016, 61337, 77181, 36896, 109606, 29295, 102404, 21990, 56051, 74245, 123090, 109095, 110298, 103082, 104984, 5486, 125173, 21388, 82973, 30512, 1135, 113127, 103167, 114485, 103082, 104533, 78698, 107290, 61689, 116326, 104500, 22656, 105514, 7705, 110792, 91774, 33035, 119432, 32977, 19732, 5486, 106839, 17701, 16144, 102048, 234, 110895, 117282, 679, 21, 110895, 102052, 8107, 56965, 2636, 110743, 113314, 16144, 125173, 21388, 21403, 232, 114485, 104088, 104526, 126559, 118855, 5486, 105107, 67178, 123128, 16144, 118649, 95399, 26854, 23951, 109095, 103378, 126194, 5486, 28713, 19732, 116285, 101307, 117633, 104010, 113245, 123782, 102181, 71289, 61633, 30926, 105904, 30512, 104010, 19967, 101275, 112919, 13177, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 10646, 20230, 80172, 106482, 54926, 118733, 5486, 105390, 101198, 22398, 30512, 113385, 117408, 16937, 103424, 16144, 61056, 21418, 105352, 59739, 26854, 102639, 102204, 104533, 16144, 125494, 30512, 20379, 103792, 9174, 41, 26873, 50, 77181, 102741, 112508, 111234, 39880, 16144, 101682, 29245, 245, 122401, 32977, 23039, 76947, 108086, 36896, 10754, 3848, 3895, 1322, 21795, 12, 1049, 15, 10646, 11883, 16144, 102741, 112508, 111234, 39880, 32977, 37026, 61337, 32943, 16556, 122401, 56051, 102677, 1811, 122401, 30512, 126913, 56051, 42016, 61337, 18655, 126233, 107734, 16556, 20251, 108337, 33710, 102741, 37823, 72369, 38248, 115, 78205, 16073, 34048, 112675, 101544, 30512, 102781, 109315, 110622, 103932, 80866, 15120, 105514, 15682, 122603, 50338, 66201, 27479, 71493, 127194, 19732, 45736, 119883, 27479, 103857, 22398, 57326, 108748, 29295, 118935, 11883, 110731, 103846, 103984, 104736, 34171, 29295, 103424, 47884, 120268, 30813, 26854, 88435, 32977, 110596, 113849, 110366, 19732, 19967, 101275, 112919, 104836, 70141, 29295, 98499, 104004, 105908, 108608, 28542, 71289, 5486, 108768, 105404, 109753, 16144, 99741, 100815, 34171, 71289, 45144, 227, 17044, 95, 34171, 29295, 104622, 115032, 28542, 104309, 30512, 107624, 95001, 103792, 1811, 128001, 128000, 120987, 76947, 5486, 103188, 86436, 117758, 106084, 30926, 71289, 102321, 103397, 16144, 113702, 29295, 85701, 55031, 61826, 20230, 125119, 30369, 120266, 117375, 30512, 58318, 58942, 104533, 110219, 15682, 113727, 29295, 43514, 125743, 5486, 39135, 103171, 22656, 71289, 52884, 77750, 30512, 98499, 104127, 64121, 104533, 5486, 103350, 15682, 108010, 30297, 76947, 105908, 17620, 32149, 121118, 105879, 106116, 115195, 30512, 121846, 20230, 86127, 26854, 112586, 31634, 103664, 39926, 64121, 28713, 57980, 9174, 6271, 237, 100927, 107809, 20230, 5486, 82973, 15682, 13177, 103188, 86436, 55031, 120987, 20230, 10646, 89753, 104028, 16144, 126194, 36896, 120987, 55031, 10646, 89753, 106824, 109749, 102944, 5486, 102677, 113727, 24273, 107407, 102131, 38641, 9174, 13177, 37271, 117503, 102321, 103350, 116825, 47884, 103836, 113385, 15682, 13177, 103188, 86436, 10646, 126194, 13177, 120987, 10646, 117083, 5486, 102677, 30926, 114420, 9174, 104405, 95604, 100909, 32149, 102677, 19732, 106609, 37271, 16144, 105994, 116825, 47884, 103836, 112973, 103188, 86436, 118816, 113727, 104533, 36896, 37271, 16144, 105994, 29295, 106515, 72342, 16556, 100604, 104468, 16937, 106515, 26854, 118006, 117501, 16556, 101662, 100472, 55031, 36785, 59712, 45829, 67645 ]
[ 102944, 110018, 16995, 100204, 62004, 109115, 55031, 36785, 66383, 102971, 105242, 47000, 107441, 103801, 61689, 123794, 124845, 5486, 103188, 86436, 15682, 104721, 58942, 102204, 100604, 105879, 5486, 112599, 32977, 120987, 32977, 104721, 58942, 102204, 100604, 19732, 116292, 114181, 9554, 108176, 123253, 9174, 72661, 101832, 1811, 9174, 120987, 55031, 89753, 106824, 109749, 102944, 118816, 113727, 104533, 5486, 120987, 15682, 103188, 86436, 71289, 112599, 107118, 116690, 100604, 105879, 5486, 122617, 15682, 105994, 33671, 30537, 16556, 104405, 20230, 72661, 26854, 104533, 25580, 70141, 50834, 125030, 33503, 58942, 110071, 30926, 29295, 108608, 16144, 123794, 9174, 27452, 116285, 5486, 108895, 78698, 107290, 64121, 104533, 17620, 107277, 126172, 16995, 38641, 57980, 9174, 30591, 112568, 29295, 82973, 102677, 101701, 120950, 89753, 33121, 107809, 20230, 80195, 107462, 104533, 103801, 109954, 9174, 101701, 15682, 17905, 89753, 110366, 10110, 85701, 120987, 101832, 6447, 7705, 55031, 17297, 89753, 110366, 10110, 85701, 37271, 101832, 6447, 7705, 20230, 89753, 33121, 100481, 47884, 113334, 38641, 9174, 101182, 9080, 5486, 17905, 89753, 55031, 36827, 122411, 16144, 22656, 29295, 89753, 106824, 50834, 79721, 9174, 72661, 108149, 112568, 15682, 37087, 61994, 109834, 103868, 119703, 105879, 106116, 89753, 106824, 105898, 102944, 30813, 58942, 91774, 110074, 39926, 103801, 61689, 9174, 114516, 16144, 101171, 111, 15682, 5486, 105994, 125030, 76947, 107693, 16556, 100604, 102944, 15682, 103984, 98220, 55031, 33420, 39926, 114604, 31431, 78434, 9174, 58426, 22656, 15682, 30591, 112568, 16144, 109203, 30512, 121640, 103188, 105557, 38144, 5486, 17297, 89753, 20230, 89753, 33121, 100481, 76947, 103801, 61689, 9174, 80539, 5486, 33671, 16144, 9080, 111476, 37271, 27479, 15682, 58666, 103868, 21105, 251, 30297, 26854, 32131, 25005, 94, 16073, 29295, 89753, 106824, 50834, 79721, 9174, 30591, 112568, 15682, 32131, 25005, 94, 16073, 29295, 27384, 53901, 112495, 105879, 5486, 91763, 124059, 124475, 19732, 76947, 125764, 30369, 120266, 121256, 9174, 85707, 107436, 125764, 30369, 32131, 25005, 94, 113883, 103868, 20230, 30591, 112568, 15682, 5486, 33541, 33541, 32131, 25005, 94, 16073, 29295, 120111, 115717, 79721, 9174, 32131, 25005, 94, 16073, 20230, 109834, 103868, 107407, 30591, 112568, 15682, 17905, 89753, 55031, 89753, 106824, 109749, 32131, 25005, 94, 113883, 108134, 102052, 114225, 20230, 116499, 114308, 33541, 124845, 77693, 30512, 124475, 19732, 76947, 114732, 9174, 72661, 5486, 36827, 122411, 16144, 22656, 20230, 109834, 103868, 29295, 104435, 30591, 112568, 102052, 58426, 22656, 29295, 91774, 107290, 30813, 58942, 16995, 105823, 104127, 56051, 15024, 108048, 30512, 89753, 39926, 114604, 55031, 102083, 76947, 108149, 112568, 101983, 112649, 117375, 30512, 58318, 105262, 113334, 77181, 124897, 9174, 90620, 5486, 89753, 33121, 100481, 100472, 102677, 30926, 103350, 103378, 126529, 38641, 123794, 9174, 77181, 111476, 110241, 5486, 17905, 89753, 55031, 30591, 112568, 30512, 121551, 54926, 112690, 29295, 89753, 106824, 50834, 38144, 108149, 112568, 29295, 77693, 114475, 76622, 17701, 106824, 114604, 33503, 11571, 58426, 112690, 20230, 30591, 112568, 15682, 113799, 31431, 30512, 112854, 107800, 31431, 5486, 95543, 105242, 54926, 112690, 30512, 102404, 56051, 31431, 102677, 123120, 101182, 16995, 15682, 40474, 91875, 30512, 112854, 105262, 123253, 101832, 9174, 58426, 121551, 54926, 112690, 30512, 89753, 39926, 103801, 116285, 108149, 112568, 15682, 99849, 32977, 95221, 20230, 72342, 101860, 20230, 103188, 86436, 20230, 89753, 39926, 114732, 105908, 125545, 9174, 82973, 16144, 89753, 33121, 29295, 103188, 86436, 55031, 120987, 124259, 89753, 115032, 19732, 113727, 104533, 120953, 120837, 103188, 86436, 16144, 103082, 48154, 19732, 113115, 39926, 123927, 104196, 100472, 31431, 114284, 118158, 31431, 39926, 5486, 115364, 123120, 30512, 106045, 44416, 39926, 103801, 16995, 29295, 43514, 119627, 5486, 120987, 55031, 103188, 86436, 124259, 82973, 29295, 89753, 104028, 19732, 113727, 104984, 5486, 103188, 86436, 20230, 9921, 248, 123671, 101860, 20230, 111764, 20230, 123726, 30369, 105908, 125545, 123794, 9174, 85701, 76947, 114318, 111243, 17620, 107277, 126172, 47884, 38144, 5486, 123726, 126172, 47884, 112391, 107515, 32149, 106609, 82973, 16144, 89753, 33121, 76947, 5486, 103188, 86436, 55031, 120987, 124259, 89753, 115032, 19732, 30591, 109709, 37689, 109375, 72342, 101860, 20230, 40265, 115926, 123628, 100909, 103306, 114284, 104526, 126559, 123794, 95532, 72661, 36896, 26854, 112371, 91006, 198, 40053, 109375, 30512, 107750, 30297, 115789, 5486, 103188, 86436, 30512, 15017, 101, 125655, 15120, 118821, 41007, 77181, 101182, 105272, 29295, 5486, 82973, 16144, 25197, 126989, 30512, 104721, 107290, 64121, 30369, 118733, 105465, 115717, 33541, 57980, 1811, 128001, 128000, 115681, 101918, 30512, 109198, 17701, 54926, 104309, 5486, 33655, 30297, 113173, 29295, 31958, 20379, 110731, 113173, 103283, 42634, 107060, 15682, 5486, 35330, 60632, 109853, 15682, 52591, 37823, 118517, 107060, 19732, 57106, 115694, 103167, 35330, 60632, 103195, 102677, 118733, 126909, 115991, 33541, 9174, 33334, 35330, 123863, 122975, 108134, 16144, 116696, 48552, 117824, 30297, 118733, 36896, 102782, 15024, 104526, 25827, 103082, 28713, 17792, 20230, 110726, 56051, 103306, 32977, 4012, 32149, 104405, 32149, 118587, 106053, 23187, 54926, 112973, 123218, 42634, 107060, 16144, 117859, 112984, 118816, 78244, 105262, 123253, 9174, 13177, 110698, 42506, 117073, 9039, 9080, 112772, 42016, 59999, 248, 20230, 45918, 246, 125167, 10646, 104309, 38641, 104699, 33334, 35330, 29295, 111654, 102800, 39177, 15682, 5486, 43568, 60632, 23018, 16556, 108703, 35330, 88367, 26854, 114734, 101275, 30046, 29295, 109242, 9039, 48706, 54926, 105879, 5486, 108895, 56051, 110229, 30512, 107740, 112990, 33334, 50928, 38641, 9174, 33420, 106382, 30046, 114734, 126250, 5486, 110226, 17701, 110322, 31958, 102181, 103306, 46239, 107001, 30926, 29295, 127181, 112973, 5486, 108695, 55031, 110968, 107001, 110698, 58318, 31958, 104398, 102181, 38641, 1811, 113334, 30591, 76947, 85701, 30512, 11883, 37689, 54926, 105908, 16937, 88367, 26854, 126513, 5486, 110322, 31958, 102181, 16144, 104770, 16995, 29295, 43568, 11883, 16144, 115191, 123218, 42634, 107060, 126130, 125683, 62004, 78434, 9174, 107391, 26269, 57207, 94550, 16144, 102782, 104526, 41007, 107809, 72661, 46034, 117355, 20230, 108608, 111234, 52884, 102782, 104526, 15682, 5486, 46729, 72661, 114731, 62004, 61826, 72661, 46034, 106307, 50834, 88367, 116787, 5486, 117859, 112984, 20230, 106382, 126172, 82973, 32977, 106649, 123332, 107001, 105879, 5486, 92776, 9080, 106075, 103087, 108608, 125396, 32977, 57903, 33541, 9174, 123218, 42634, 107060, 16144, 117859, 112984, 102677, 102944, 15682, 5486, 102782, 104526, 102782, 109311, 126101, 61304, 107121, 54926, 108134, 30512, 119870, 17129, 107290, 5486, 29220, 102803, 39880, 52414, 16144, 22023, 117943, 34171, 104088, 110993, 109315, 113009, 23039, 26854, 126832, 102944, 38641, 1811, 45144, 227, 103350, 20230, 104196, 111587, 109768, 47884, 105908, 88367, 32149, 102677, 28542, 29295, 122225, 75146, 107253, 16144, 32335, 28713, 30369, 102944, 38641, 9174, 115191, 29295, 104908, 103792, 123218, 42634, 107060, 15682, 5486, 43240, 119064, 107803, 3101, 110743, 105755, 83747, 100604, 35330, 109518, 127303, 104984, 110226, 17701, 110322, 31958, 102181, 15682, 11883, 37689, 113473, 19732, 110731, 16144, 38641, 1811, 33420, 106382, 30046, 114734, 19732, 125261, 56051, 107803, 106116, 28542, 77181, 112825, 102924, 118816, 119852, 57980, 117201, 109954, 9174, 123218, 42634, 107060, 16144, 108703, 31431, 109033, 58942, 107118, 5486, 60632, 45829, 109972, 106529, 71289, 108703, 31431, 125639, 123470, 104196, 111587, 109972, 106529, 30512, 114715, 72661, 117355, 47884, 54926, 113009, 5486, 112599, 108703, 31431, 17701, 115032, 108703, 17701, 61826, 30512, 21418, 47884, 114734, 101513, 97518, 20230, 110498, 31431, 109033, 105262, 106592, 119852, 61689, 9174, 108703, 17701, 61826, 30512, 99849, 61337, 32977, 108623, 58942, 104533, 5486, 104196, 111587, 32977, 82420, 55723, 121640, 23039, 32149, 123733, 31431, 33541, 1811, 102131, 95604, 110482, 100472, 126101, 78698, 101557, 106, 17663, 103854, 112495, 112973, 33334, 123011, 62004, 42634, 107060, 126529, 119627, 5486, 112599, 105755, 103167, 35330, 60632, 101983, 104984, 124563, 33334, 15120, 114050, 108703, 31431, 109033, 105262, 115552, 29295, 119448, 115737, 31431, 33541, 9174, 9039, 101182, 33420, 106382, 30046, 114734, 71289, 27384, 46034, 16144, 115191, 107809, 102052, 5486, 55723, 23538, 109904, 13177, 43568, 60632, 23018, 110726, 47000, 118587, 64810, 64178, 22398, 120098, 20230, 109768, 104533, 107404, 115991, 33541, 113637, 85701, 103296, 20230, 100604, 107391, 26269, 57207, 94550, 125175, 30512, 107740, 126693, 5486, 104662, 117864, 23538, 9080, 17129, 77181, 43568, 60632, 23018, 115717, 33541, 9174, 42634, 107060, 16144, 102750, 48552, 103195, 110022, 33857, 106045, 44416, 29295, 103048, 21418, 107001, 107803, 115991, 33541, 1811, 118789, 109904, 27452, 30512, 123680, 102639, 104533, 36896, 33334, 123011, 62004, 42634, 107060, 118587, 76706, 11883, 54926, 102083, 100472, 126513, 5486, 110022, 33857, 106045, 44416, 16144, 103359, 47523, 126328, 48915, 104028, 105879, 5486, 8107, 110226, 16144, 18, 17620, 16144, 16, 30512, 17905, 18904, 30369, 42634, 107060, 30512, 107740, 54926, 105908, 88367, 104856, 76947, 61689, 9174, 50211, 9080, 116771, 116773, 23039, 107001, 92776, 9080, 106075, 103087, 16556, 127564, 5486, 117859, 112984, 29295, 33035, 104533, 17663, 81219, 71289, 47884, 117896, 55031, 109823, 56051, 40526, 103605, 109156, 35330, 120837, 33503, 30297, 115789, 125545, 15024, 5486, 123218, 42634, 107060, 106063, 37026, 16144, 123218, 30512, 76706, 11883, 39926, 5486, 105994, 16556, 20834, 35330, 54926, 115789, 108608, 113334, 38641, 9174, 108064, 16995, 107188, 30369, 39177, 72661, 92776, 9080, 106075, 103087, 16556, 33334, 35330, 30512, 17701, 106824, 32977, 33503, 105262, 113334, 111769, 16144, 38641, 1811, 103188, 103268, 9039, 16144, 101275, 30046, 15682, 50211, 117073, 975, 39177, 108176, 112772, 106075, 103087, 16144, 102782, 15024, 121423, 30512, 39926, 33334, 126660, 19732, 5486, 40265, 9080, 107898, 35330, 30512, 46034, 109156, 104028, 109335, 103082, 107515, 9174, 123218, 42634, 107060, 16144, 108703, 31431, 109033, 58942, 126198, 104983, 20230, 43240, 104680, 91774, 110071, 112973, 5486, 121771, 115867, 108703, 17701, 61826, 30512, 115303, 123011, 62004, 20230, 56051, 118733, 51385, 64209, 39926, 103801, 76947, 115847, 103296, 126036, 107391, 26269, 57207, 94550, 39926, 103801, 16995, 5486, 102971, 91077, 109972, 106529, 29295, 115079, 107290, 114604, 102677, 27452, 38641, 9174, 43568, 110226, 17701, 16144, 127749, 17297, 77181, 5486, 110022, 33857, 106045, 44416, 29295, 126543, 107001, 107391, 26269, 57207, 94550, 101275, 30046, 126328, 5486, 117032, 15682, 110726, 47000, 120837, 33503, 58942, 107515, 1811, 123532, 76947, 36668, 122924, 29295, 106075, 103087, 30512, 107740, 108608, 104468, 5486, 115191, 110191, 102540, 102677, 112973, 103350, 40474, 126529, 38641, 1811, 128001, 128000, 567, 43444, 16, 7705, 107963, 31634, 198, 64209, 109519, 32943, 70626, 15682, 5486, 64209, 96356, 111571, 19732, 110022, 25666, 107001, 103429, 95221, 30512, 104356, 20230, 120761, 109519, 117824, 76947, 61689, 1811, 64209, 96356, 111571, 107118, 36896, 103892, 108631, 5486, 117587, 126017, 103429, 122603, 104473, 121819, 5486, 103188, 112163, 34171, 101921, 116, 111571, 103550, 104336, 123160, 111006, 116436, 111694, 107809, 16556, 5486, 71634, 108744, 123160, 127298, 9458, 106222, 9554, 63212, 45829, 29295, 102404, 111571, 71289, 106613, 103188, 20230, 28741, 30177, 114556, 58318, 103792, 102944, 117503, 106592, 16995, 61689, 124192, 70626, 77181, 121906, 16995, 100472, 111006, 116436, 111694, 103195, 64209, 96356, 111571, 30512, 104356, 20230, 5486, 105755, 109431, 102769, 26854, 71005, 109519, 117824, 30297, 113009, 5486, 127177, 70626, 19732, 89046, 120988, 21105, 97, 59739, 103429, 95221, 111363, 39880, 107420, 113335, 117824, 107462, 50834, 33541, 9174, 567, 43444, 17, 7705, 89154, 37823, 120404, 198, 40265, 94923, 16144, 64209, 109519, 32943, 70626, 15682, 5486, 113116, 70626, 103429, 107918, 109156, 94923, 102832, 105404, 107407, 102677, 66378, 17599, 112, 115991, 5486, 113116, 116436, 111694, 30512, 40862, 125702, 56051, 64209, 96356, 111571, 71289, 99046, 224, 102456, 108502, 104698, 16144, 111694, 112919, 120761, 109519, 30512, 108882, 110993, 112535, 23039, 76947, 61689, 9174, 567, 43444, 18, 7705, 66378, 17599, 112, 198, 14711, 115934, 96356, 111571, 16144, 113385, 198, 64209, 96356, 111571, 16144, 36668, 26854, 113385, 103306, 5486, 127298, 9458, 106222, 9554, 63212, 45829, 29295, 123680, 102639, 102204, 33541, 1811, 127298, 9458, 106222, 9554, 63212, 45829, 102052, 5486, 114516, 116690, 16144, 71634, 108744, 5486, 117876, 17905, 16144, 71634, 108744, 5486, 121648, 115867, 34171, 35083, 16144, 101427, 122, 70141, 5486, 104654, 105335, 106696, 5486, 123120, 80805, 102514, 16073, 104309, 29295, 96412, 123606, 33541, 9174, 14711, 115934, 96356, 111571, 16144, 71005, 109519, 198, 71005, 109519, 15682, 127298, 109519, 25333, 19732, 117434, 53953, 109519, 25333, 30512, 125702, 11883, 39926, 23039, 61689, 9174, 121648, 121944, 108623, 58942, 100934, 71634, 108744, 30512, 100783, 102, 34208, 54926, 41007, 30512, 126419, 20230, 78698, 107800, 31431, 5486, 104654, 105335, 106696, 71289, 123120, 80805, 102514, 16073, 30512, 23951, 37656, 56051, 31431, 78434, 118855, 5486, 109215, 20230, 106608, 100204, 38144, 108324, 127408, 117434, 71289, 108324, 30297, 59739, 117434, 5486, 115953, 24273, 117434, 123160, 117434, 53953, 71005, 109519, 117824, 61689, 9174, 117587, 126017, 103429, 113115, 54926, 104473, 117587, 47260, 52414, 42634, 64178, 71289, 5486, 95221, 36651, 46456, 83601, 246, 23018, 113115, 54926, 117434, 53953, 109519, 25333, 104309, 5486, 71005, 109519, 102472, 114265, 118372, 20230, 108630, 100472, 123782, 109904, 71005, 109519, 15682, 5486, 124572, 20230, 58426, 103429, 95221, 10110, 117587, 126017, 103429, 71289, 95221, 36651, 46456, 83601, 246, 23018, 104309, 7705, 29295, 64209, 96356, 111571, 103351, 103306, 32977, 106116, 103429, 95221, 30512, 114363, 103722, 117408, 120761, 109519, 70626, 16556, 23039, 123671, 33541, 9174, 126738, 5486, 117587, 126017, 103429, 71289, 95221, 36651, 46456, 83601, 246, 23018, 123160, 111006, 116436, 111694, 107809, 72661, 5486, 71634, 108744, 123160, 127298, 9458, 106222, 9554, 63212, 45829, 29295, 58426, 102404, 111571, 71289, 106613, 103188, 20230, 28741, 30177, 114556, 58318, 109768, 100604, 102944, 109853, 15682, 5486, 64209, 96356, 111571, 107118, 127173, 100604, 103846, 5486, 40265, 70626, 16144, 71005, 109519, 103359, 47523, 77181, 124897, 9174, 33334, 110794, 16144, 103429, 95221, 10110, 111006, 116436, 111694, 120732, 102404, 111571, 71289, 106613, 103188, 20230, 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 ]
[ 102944, 110018, 16995, 100204, 62004, 109115, 55031, 36785, 66383, 102971, 105242, 47000, 107441, 103801, 61689, 123794, 124845, 5486, 103188, 86436, 15682, 104721, 58942, 102204, 100604, 105879, 5486, 112599, 32977, 120987, 32977, 104721, 58942, 102204, 100604, 19732, 116292, 114181, 9554, 108176, 123253, 9174, 72661, 101832, 1811, 9174, 120987, 55031, 89753, 106824, 109749, 102944, 118816, 113727, 104533, 5486, 120987, 15682, 103188, 86436, 71289, 112599, 107118, 116690, 100604, 105879, 5486, 122617, 15682, 105994, 33671, 30537, 16556, 104405, 20230, 72661, 26854, 104533, 25580, 70141, 50834, 125030, 33503, 58942, 110071, 30926, 29295, 108608, 16144, 123794, 9174, 27452, 116285, 5486, 108895, 78698, 107290, 64121, 104533, 17620, 107277, 126172, 16995, 38641, 57980, 9174, 30591, 112568, 29295, 82973, 102677, 101701, 120950, 89753, 33121, 107809, 20230, 80195, 107462, 104533, 103801, 109954, 9174, 101701, 15682, 17905, 89753, 110366, 10110, 85701, 120987, 101832, 6447, 7705, 55031, 17297, 89753, 110366, 10110, 85701, 37271, 101832, 6447, 7705, 20230, 89753, 33121, 100481, 47884, 113334, 38641, 9174, 101182, 9080, 5486, 17905, 89753, 55031, 36827, 122411, 16144, 22656, 29295, 89753, 106824, 50834, 79721, 9174, 72661, 108149, 112568, 15682, 37087, 61994, 109834, 103868, 119703, 105879, 106116, 89753, 106824, 105898, 102944, 30813, 58942, 91774, 110074, 39926, 103801, 61689, 9174, 114516, 16144, 101171, 111, 15682, 5486, 105994, 125030, 76947, 107693, 16556, 100604, 102944, 15682, 103984, 98220, 55031, 33420, 39926, 114604, 31431, 78434, 9174, 58426, 22656, 15682, 30591, 112568, 16144, 109203, 30512, 121640, 103188, 105557, 38144, 5486, 17297, 89753, 20230, 89753, 33121, 100481, 76947, 103801, 61689, 9174, 80539, 5486, 33671, 16144, 9080, 111476, 37271, 27479, 15682, 58666, 103868, 21105, 251, 30297, 26854, 32131, 25005, 94, 16073, 29295, 89753, 106824, 50834, 79721, 9174, 30591, 112568, 15682, 32131, 25005, 94, 16073, 29295, 27384, 53901, 112495, 105879, 5486, 91763, 124059, 124475, 19732, 76947, 125764, 30369, 120266, 121256, 9174, 85707, 107436, 125764, 30369, 32131, 25005, 94, 113883, 103868, 20230, 30591, 112568, 15682, 5486, 33541, 33541, 32131, 25005, 94, 16073, 29295, 120111, 115717, 79721, 9174, 32131, 25005, 94, 16073, 20230, 109834, 103868, 107407, 30591, 112568, 15682, 17905, 89753, 55031, 89753, 106824, 109749, 32131, 25005, 94, 113883, 108134, 102052, 114225, 20230, 116499, 114308, 33541, 124845, 77693, 30512, 124475, 19732, 76947, 114732, 9174, 72661, 5486, 36827, 122411, 16144, 22656, 20230, 109834, 103868, 29295, 104435, 30591, 112568, 102052, 58426, 22656, 29295, 91774, 107290, 30813, 58942, 16995, 105823, 104127, 56051, 15024, 108048, 30512, 89753, 39926, 114604, 55031, 102083, 76947, 108149, 112568, 101983, 112649, 117375, 30512, 58318, 105262, 113334, 77181, 124897, 9174, 90620, 5486, 89753, 33121, 100481, 100472, 102677, 30926, 103350, 103378, 126529, 38641, 123794, 9174, 77181, 111476, 110241, 5486, 17905, 89753, 55031, 30591, 112568, 30512, 121551, 54926, 112690, 29295, 89753, 106824, 50834, 38144, 108149, 112568, 29295, 77693, 114475, 76622, 17701, 106824, 114604, 33503, 11571, 58426, 112690, 20230, 30591, 112568, 15682, 113799, 31431, 30512, 112854, 107800, 31431, 5486, 95543, 105242, 54926, 112690, 30512, 102404, 56051, 31431, 102677, 123120, 101182, 16995, 15682, 40474, 91875, 30512, 112854, 105262, 123253, 101832, 9174, 58426, 121551, 54926, 112690, 30512, 89753, 39926, 103801, 116285, 108149, 112568, 15682, 99849, 32977, 95221, 20230, 72342, 101860, 20230, 103188, 86436, 20230, 89753, 39926, 114732, 105908, 125545, 9174, 82973, 16144, 89753, 33121, 29295, 103188, 86436, 55031, 120987, 124259, 89753, 115032, 19732, 113727, 104533, 120953, 120837, 103188, 86436, 16144, 103082, 48154, 19732, 113115, 39926, 123927, 104196, 100472, 31431, 114284, 118158, 31431, 39926, 5486, 115364, 123120, 30512, 106045, 44416, 39926, 103801, 16995, 29295, 43514, 119627, 5486, 120987, 55031, 103188, 86436, 124259, 82973, 29295, 89753, 104028, 19732, 113727, 104984, 5486, 103188, 86436, 20230, 9921, 248, 123671, 101860, 20230, 111764, 20230, 123726, 30369, 105908, 125545, 123794, 9174, 85701, 76947, 114318, 111243, 17620, 107277, 126172, 47884, 38144, 5486, 123726, 126172, 47884, 112391, 107515, 32149, 106609, 82973, 16144, 89753, 33121, 76947, 5486, 103188, 86436, 55031, 120987, 124259, 89753, 115032, 19732, 30591, 109709, 37689, 109375, 72342, 101860, 20230, 40265, 115926, 123628, 100909, 103306, 114284, 104526, 126559, 123794, 95532, 72661, 36896, 26854, 112371, 91006, 198, 40053, 109375, 30512, 107750, 30297, 115789, 5486, 103188, 86436, 30512, 15017, 101, 125655, 15120, 118821, 41007, 77181, 101182, 105272, 29295, 5486, 82973, 16144, 25197, 126989, 30512, 104721, 107290, 64121, 30369, 118733, 105465, 115717, 33541, 57980, 1811, 128001, 128000, 115681, 101918, 30512, 109198, 17701, 54926, 104309, 5486, 33655, 30297, 113173, 29295, 31958, 20379, 110731, 113173, 103283, 42634, 107060, 15682, 5486, 35330, 60632, 109853, 15682, 52591, 37823, 118517, 107060, 19732, 57106, 115694, 103167, 35330, 60632, 103195, 102677, 118733, 126909, 115991, 33541, 9174, 33334, 35330, 123863, 122975, 108134, 16144, 116696, 48552, 117824, 30297, 118733, 36896, 102782, 15024, 104526, 25827, 103082, 28713, 17792, 20230, 110726, 56051, 103306, 32977, 4012, 32149, 104405, 32149, 118587, 106053, 23187, 54926, 112973, 123218, 42634, 107060, 16144, 117859, 112984, 118816, 78244, 105262, 123253, 9174, 13177, 110698, 42506, 117073, 9039, 9080, 112772, 42016, 59999, 248, 20230, 45918, 246, 125167, 10646, 104309, 38641, 104699, 33334, 35330, 29295, 111654, 102800, 39177, 15682, 5486, 43568, 60632, 23018, 16556, 108703, 35330, 88367, 26854, 114734, 101275, 30046, 29295, 109242, 9039, 48706, 54926, 105879, 5486, 108895, 56051, 110229, 30512, 107740, 112990, 33334, 50928, 38641, 9174, 33420, 106382, 30046, 114734, 126250, 5486, 110226, 17701, 110322, 31958, 102181, 103306, 46239, 107001, 30926, 29295, 127181, 112973, 5486, 108695, 55031, 110968, 107001, 110698, 58318, 31958, 104398, 102181, 38641, 1811, 113334, 30591, 76947, 85701, 30512, 11883, 37689, 54926, 105908, 16937, 88367, 26854, 126513, 5486, 110322, 31958, 102181, 16144, 104770, 16995, 29295, 43568, 11883, 16144, 115191, 123218, 42634, 107060, 126130, 125683, 62004, 78434, 9174, 107391, 26269, 57207, 94550, 16144, 102782, 104526, 41007, 107809, 72661, 46034, 117355, 20230, 108608, 111234, 52884, 102782, 104526, 15682, 5486, 46729, 72661, 114731, 62004, 61826, 72661, 46034, 106307, 50834, 88367, 116787, 5486, 117859, 112984, 20230, 106382, 126172, 82973, 32977, 106649, 123332, 107001, 105879, 5486, 92776, 9080, 106075, 103087, 108608, 125396, 32977, 57903, 33541, 9174, 123218, 42634, 107060, 16144, 117859, 112984, 102677, 102944, 15682, 5486, 102782, 104526, 102782, 109311, 126101, 61304, 107121, 54926, 108134, 30512, 119870, 17129, 107290, 5486, 29220, 102803, 39880, 52414, 16144, 22023, 117943, 34171, 104088, 110993, 109315, 113009, 23039, 26854, 126832, 102944, 38641, 1811, 45144, 227, 103350, 20230, 104196, 111587, 109768, 47884, 105908, 88367, 32149, 102677, 28542, 29295, 122225, 75146, 107253, 16144, 32335, 28713, 30369, 102944, 38641, 9174, 115191, 29295, 104908, 103792, 123218, 42634, 107060, 15682, 5486, 43240, 119064, 107803, 3101, 110743, 105755, 83747, 100604, 35330, 109518, 127303, 104984, 110226, 17701, 110322, 31958, 102181, 15682, 11883, 37689, 113473, 19732, 110731, 16144, 38641, 1811, 33420, 106382, 30046, 114734, 19732, 125261, 56051, 107803, 106116, 28542, 77181, 112825, 102924, 118816, 119852, 57980, 117201, 109954, 9174, 123218, 42634, 107060, 16144, 108703, 31431, 109033, 58942, 107118, 5486, 60632, 45829, 109972, 106529, 71289, 108703, 31431, 125639, 123470, 104196, 111587, 109972, 106529, 30512, 114715, 72661, 117355, 47884, 54926, 113009, 5486, 112599, 108703, 31431, 17701, 115032, 108703, 17701, 61826, 30512, 21418, 47884, 114734, 101513, 97518, 20230, 110498, 31431, 109033, 105262, 106592, 119852, 61689, 9174, 108703, 17701, 61826, 30512, 99849, 61337, 32977, 108623, 58942, 104533, 5486, 104196, 111587, 32977, 82420, 55723, 121640, 23039, 32149, 123733, 31431, 33541, 1811, 102131, 95604, 110482, 100472, 126101, 78698, 101557, 106, 17663, 103854, 112495, 112973, 33334, 123011, 62004, 42634, 107060, 126529, 119627, 5486, 112599, 105755, 103167, 35330, 60632, 101983, 104984, 124563, 33334, 15120, 114050, 108703, 31431, 109033, 105262, 115552, 29295, 119448, 115737, 31431, 33541, 9174, 9039, 101182, 33420, 106382, 30046, 114734, 71289, 27384, 46034, 16144, 115191, 107809, 102052, 5486, 55723, 23538, 109904, 13177, 43568, 60632, 23018, 110726, 47000, 118587, 64810, 64178, 22398, 120098, 20230, 109768, 104533, 107404, 115991, 33541, 113637, 85701, 103296, 20230, 100604, 107391, 26269, 57207, 94550, 125175, 30512, 107740, 126693, 5486, 104662, 117864, 23538, 9080, 17129, 77181, 43568, 60632, 23018, 115717, 33541, 9174, 42634, 107060, 16144, 102750, 48552, 103195, 110022, 33857, 106045, 44416, 29295, 103048, 21418, 107001, 107803, 115991, 33541, 1811, 118789, 109904, 27452, 30512, 123680, 102639, 104533, 36896, 33334, 123011, 62004, 42634, 107060, 118587, 76706, 11883, 54926, 102083, 100472, 126513, 5486, 110022, 33857, 106045, 44416, 16144, 103359, 47523, 126328, 48915, 104028, 105879, 5486, 8107, 110226, 16144, 18, 17620, 16144, 16, 30512, 17905, 18904, 30369, 42634, 107060, 30512, 107740, 54926, 105908, 88367, 104856, 76947, 61689, 9174, 50211, 9080, 116771, 116773, 23039, 107001, 92776, 9080, 106075, 103087, 16556, 127564, 5486, 117859, 112984, 29295, 33035, 104533, 17663, 81219, 71289, 47884, 117896, 55031, 109823, 56051, 40526, 103605, 109156, 35330, 120837, 33503, 30297, 115789, 125545, 15024, 5486, 123218, 42634, 107060, 106063, 37026, 16144, 123218, 30512, 76706, 11883, 39926, 5486, 105994, 16556, 20834, 35330, 54926, 115789, 108608, 113334, 38641, 9174, 108064, 16995, 107188, 30369, 39177, 72661, 92776, 9080, 106075, 103087, 16556, 33334, 35330, 30512, 17701, 106824, 32977, 33503, 105262, 113334, 111769, 16144, 38641, 1811, 103188, 103268, 9039, 16144, 101275, 30046, 15682, 50211, 117073, 975, 39177, 108176, 112772, 106075, 103087, 16144, 102782, 15024, 121423, 30512, 39926, 33334, 126660, 19732, 5486, 40265, 9080, 107898, 35330, 30512, 46034, 109156, 104028, 109335, 103082, 107515, 9174, 123218, 42634, 107060, 16144, 108703, 31431, 109033, 58942, 126198, 104983, 20230, 43240, 104680, 91774, 110071, 112973, 5486, 121771, 115867, 108703, 17701, 61826, 30512, 115303, 123011, 62004, 20230, 56051, 118733, 51385, 64209, 39926, 103801, 76947, 115847, 103296, 126036, 107391, 26269, 57207, 94550, 39926, 103801, 16995, 5486, 102971, 91077, 109972, 106529, 29295, 115079, 107290, 114604, 102677, 27452, 38641, 9174, 43568, 110226, 17701, 16144, 127749, 17297, 77181, 5486, 110022, 33857, 106045, 44416, 29295, 126543, 107001, 107391, 26269, 57207, 94550, 101275, 30046, 126328, 5486, 117032, 15682, 110726, 47000, 120837, 33503, 58942, 107515, 1811, 123532, 76947, 36668, 122924, 29295, 106075, 103087, 30512, 107740, 108608, 104468, 5486, 115191, 110191, 102540, 102677, 112973, 103350, 40474, 126529, 38641, 1811, 128001, 128000, 567, 43444, 16, 7705, 107963, 31634, 198, 64209, 109519, 32943, 70626, 15682, 5486, 64209, 96356, 111571, 19732, 110022, 25666, 107001, 103429, 95221, 30512, 104356, 20230, 120761, 109519, 117824, 76947, 61689, 1811, 64209, 96356, 111571, 107118, 36896, 103892, 108631, 5486, 117587, 126017, 103429, 122603, 104473, 121819, 5486, 103188, 112163, 34171, 101921, 116, 111571, 103550, 104336, 123160, 111006, 116436, 111694, 107809, 16556, 5486, 71634, 108744, 123160, 127298, 9458, 106222, 9554, 63212, 45829, 29295, 102404, 111571, 71289, 106613, 103188, 20230, 28741, 30177, 114556, 58318, 103792, 102944, 117503, 106592, 16995, 61689, 124192, 70626, 77181, 121906, 16995, 100472, 111006, 116436, 111694, 103195, 64209, 96356, 111571, 30512, 104356, 20230, 5486, 105755, 109431, 102769, 26854, 71005, 109519, 117824, 30297, 113009, 5486, 127177, 70626, 19732, 89046, 120988, 21105, 97, 59739, 103429, 95221, 111363, 39880, 107420, 113335, 117824, 107462, 50834, 33541, 9174, 567, 43444, 17, 7705, 89154, 37823, 120404, 198, 40265, 94923, 16144, 64209, 109519, 32943, 70626, 15682, 5486, 113116, 70626, 103429, 107918, 109156, 94923, 102832, 105404, 107407, 102677, 66378, 17599, 112, 115991, 5486, 113116, 116436, 111694, 30512, 40862, 125702, 56051, 64209, 96356, 111571, 71289, 99046, 224, 102456, 108502, 104698, 16144, 111694, 112919, 120761, 109519, 30512, 108882, 110993, 112535, 23039, 76947, 61689, 9174, 567, 43444, 18, 7705, 66378, 17599, 112, 198, 14711, 115934, 96356, 111571, 16144, 113385, 198, 64209, 96356, 111571, 16144, 36668, 26854, 113385, 103306, 5486, 127298, 9458, 106222, 9554, 63212, 45829, 29295, 123680, 102639, 102204, 33541, 1811, 127298, 9458, 106222, 9554, 63212, 45829, 102052, 5486, 114516, 116690, 16144, 71634, 108744, 5486, 117876, 17905, 16144, 71634, 108744, 5486, 121648, 115867, 34171, 35083, 16144, 101427, 122, 70141, 5486, 104654, 105335, 106696, 5486, 123120, 80805, 102514, 16073, 104309, 29295, 96412, 123606, 33541, 9174, 14711, 115934, 96356, 111571, 16144, 71005, 109519, 198, 71005, 109519, 15682, 127298, 109519, 25333, 19732, 117434, 53953, 109519, 25333, 30512, 125702, 11883, 39926, 23039, 61689, 9174, 121648, 121944, 108623, 58942, 100934, 71634, 108744, 30512, 100783, 102, 34208, 54926, 41007, 30512, 126419, 20230, 78698, 107800, 31431, 5486, 104654, 105335, 106696, 71289, 123120, 80805, 102514, 16073, 30512, 23951, 37656, 56051, 31431, 78434, 118855, 5486, 109215, 20230, 106608, 100204, 38144, 108324, 127408, 117434, 71289, 108324, 30297, 59739, 117434, 5486, 115953, 24273, 117434, 123160, 117434, 53953, 71005, 109519, 117824, 61689, 9174, 117587, 126017, 103429, 113115, 54926, 104473, 117587, 47260, 52414, 42634, 64178, 71289, 5486, 95221, 36651, 46456, 83601, 246, 23018, 113115, 54926, 117434, 53953, 109519, 25333, 104309, 5486, 71005, 109519, 102472, 114265, 118372, 20230, 108630, 100472, 123782, 109904, 71005, 109519, 15682, 5486, 124572, 20230, 58426, 103429, 95221, 10110, 117587, 126017, 103429, 71289, 95221, 36651, 46456, 83601, 246, 23018, 104309, 7705, 29295, 64209, 96356, 111571, 103351, 103306, 32977, 106116, 103429, 95221, 30512, 114363, 103722, 117408, 120761, 109519, 70626, 16556, 23039, 123671, 33541, 9174, 126738, 5486, 117587, 126017, 103429, 71289, 95221, 36651, 46456, 83601, 246, 23018, 123160, 111006, 116436, 111694, 107809, 72661, 5486, 71634, 108744, 123160, 127298, 9458, 106222, 9554, 63212, 45829, 29295, 58426, 102404, 111571, 71289, 106613, 103188, 20230, 28741, 30177, 114556, 58318, 109768, 100604, 102944, 109853, 15682, 5486, 64209, 96356, 111571, 107118, 127173, 100604, 103846, 5486, 40265, 70626, 16144, 71005, 109519, 103359, 47523, 77181, 124897, 9174, 33334, 110794, 16144, 103429, 95221, 10110, 111006, 116436, 111694, 120732, 102404, 111571, 71289, 106613, 103188, 20230, 5486 ]
[ 71634, 108744, 123160, 127298, 9458, 106222, 9554, 63212, 45829, 29295, 102987, 47884, 97518, 58318, 109768, 104533, 122225, 103646, 107803, 20230, 116771, 106116, 103429, 95221, 15682, 64209, 96356, 111571, 19732, 120761, 64889, 84389, 106116, 103429, 95221, 30512, 114363, 103722, 117408, 120761, 109519, 70626, 19732, 40265, 70626, 16556, 5486, 115963, 105360, 23039, 16556, 71005, 109519, 117824, 107462, 50834, 33541, 9174, 53900, 5486, 40265, 70626, 77181, 127298, 101559, 111848, 114363, 103722, 109904, 71493, 115691, 64810, 122835, 15682, 23039, 76947, 108086, 107515, 9174, 14711, 115934, 96356, 111571, 19732, 120761, 64889, 107001, 105908, 127181, 111006, 116436, 111694, 198, 12, 105750, 120, 107246, 32648, 39276, 5232, 103241, 245, 36651, 46456, 83601, 246, 23018, 198, 12, 85241, 103, 108476, 32648, 39276, 5232, 104523, 107328, 34171, 45736, 104473, 121819, 5486, 72718, 80195, 34171, 104873, 107792, 108502, 104698, 5486, 115534, 104473, 34171, 64209, 116436, 111694, 198, 12, 6704, 28857, 33208, 32648, 39276, 5232, 104102, 236, 112163, 34171, 101921, 116, 111571, 103550, 104336, 5486, 121432, 34171, 103857, 118347, 57326, 125581, 5486, 91939, 225, 114093, 64467, 101921, 116, 103558, 108, 114431, 235, 198, 12, 110096, 17620, 14888, 234, 9458, 31640, 118835, 39276, 5232, 114617, 244, 126017, 103429, 5486, 117178, 112624, 111571, 5486, 104486, 103397, 101921, 118, 121432, 6823, 95, 103130, 111571, 198, 12, 106711, 106613, 9458, 119049, 107079, 39276, 5232, 116201, 232, 105714, 25287, 103892, 108631, 5486, 35818, 103892, 108631, 198, 12, 220, 105871, 104735, 248, 70626, 108761, 103438, 5232, 121151, 95, 34171, 109304, 223, 108068, 101734, 117, 115132, 20251, 93298, 34171, 105871, 104735, 248, 114052, 198, 14711, 115934, 109519, 32943, 70626, 16556, 120761, 30369, 103429, 95221, 198, 40265, 70626, 77181, 64209, 96356, 111571, 30512, 104356, 20230, 5486, 99046, 224, 102456, 108502, 104698, 10110, 101365, 106613, 34171, 71289, 72342, 111571, 5486, 101365, 106613, 34171, 103188, 102456, 111571, 104309, 65459, 95221, 17620, 108502, 104698, 5486, 127408, 111571, 10110, 127408, 108502, 104698, 7705, 123160, 120761, 109519, 117824, 76947, 61689, 9174, 567, 120174, 120761, 107001, 24273, 111363, 39850, 26269, 64810, 78767, 198, 40265, 70626, 16144, 48915, 37507, 15682, 5486, 85707, 120761, 9458, 88356, 120761, 107173, 20230, 122617, 120999, 44416, 104856, 76947, 108086, 33541, 124192, 70626, 16144, 48915, 37507, 114475, 120761, 107001, 104983, 15682, 5486, 59614, 101860, 48154, 120999, 72315, 1811, 128001, 128000, 2, 59243, 102452, 16144, 39850, 37823, 67075, 107118, 11571, 40198, 111, 16144, 107420, 20230, 104655, 102532, 64121, 28713, 198, 102433, 17792, 102052, 26854, 100204, 64121, 29295, 102987, 16995, 34208, 102452, 9174, 80673, 5486, 60358, 8107, 15682, 34208, 102452, 16144, 100604, 46729, 32977, 115079, 58942, 5486, 34208, 102452, 16556, 103188, 48154, 56051, 105908, 83747, 100604, 101083, 31640, 32977, 115079, 107290, 50834, 79721, 9174, 16325, 102491, 126783, 16144, 105525, 36668, 55031, 112990, 5486, 105525, 31431, 121406, 110018, 20230, 34208, 102452, 76947, 109215, 26854, 104865, 11571, 16995, 42891, 27929, 40198, 111, 30512, 52591, 42634, 111672, 94550, 116446, 114604, 24273, 29295, 104712, 16144, 77181, 11571, 119150, 115789, 101182, 123253, 9174, 80673, 5486, 34208, 102452, 71289, 40198, 111, 102052, 5486, 106390, 102452, 9458, 52591, 42634, 111672, 94550, 102052, 100604, 101523, 227, 48634, 29295, 121771, 98369, 101182, 16144, 38641, 9174, 37271, 18904, 15682, 5486, 34208, 102452, 71289, 40198, 111, 16144, 39850, 37823, 67075, 109853, 111476, 115638, 966, 8107, 109832, 101275, 16144, 92877, 124750, 40198, 111, 102571, 115867, 124773, 91482, 109496, 30512, 39209, 58942, 106272, 126362, 78434, 9174, 567, 6704, 100, 246, 104680, 26854, 11883, 108968, 16556, 33655, 105262, 34208, 102452, 16144, 39850, 37823, 67075, 198, 34208, 102452, 16144, 101182, 46729, 102052, 43511, 20230, 67645, 103171, 39850, 37823, 67075, 107407, 104865, 115515, 18904, 15682, 198, 115638, 966, 8107, 55031, 106307, 47884, 92877, 124750, 40198, 111, 102571, 98369, 5232, 124283, 102212, 40198, 111, 33122, 72516, 16144, 106691, 124283, 102212, 103826, 107898, 17885, 118, 16995, 39926, 50834, 79721, 1811, 63415, 42016, 104157, 54926, 106759, 16144, 107063, 102, 117714, 75267, 198, 9458, 108638, 33503, 25827, 16144, 104157, 56965, 198, 9458, 46034, 117355, 20230, 33655, 105262, 65854, 56965, 198, 9458, 40862, 22649, 112535, 33655, 105262, 121120, 102452, 198, 9458, 113261, 83747, 23538, 117255, 101662, 38144, 114834, 198, 9458, 43240, 30832, 112535, 33655, 105262, 40198, 111, 118347, 61398, 198, 14711, 110927, 104157, 54926, 106759, 16144, 107063, 102, 117714, 75267, 198, 106759, 101083, 31640, 125030, 76947, 46065, 112, 108208, 64121, 16144, 102987, 16995, 34208, 102452, 15682, 5486, 48154, 101908, 122924, 67645, 112384, 116421, 110176, 106759, 110792, 42016, 104157, 103911, 23187, 107407, 24273, 125030, 76947, 39850, 37823, 67075, 115991, 33541, 9174, 107063, 102, 117714, 75267, 103306, 76706, 109526, 235, 54926, 118733, 109954, 9174, 14711, 50702, 96, 33503, 25827, 16144, 104157, 56965, 198, 104157, 122756, 34208, 102452, 30512, 102647, 104369, 118733, 5486, 64121, 103171, 20230, 39850, 37823, 67075, 115991, 33541, 9174, 9458, 122013, 71289, 113850, 56965, 29295, 108638, 33503, 25827, 39926, 102456, 30926, 108608, 198, 9458, 58426, 110674, 103621, 125933, 19732, 121120, 108436, 29295, 104028, 9174, 52591, 42634, 111672, 94550, 16144, 37271, 19732, 57106, 103854, 104533, 5486, 72238, 102780, 16556, 102532, 32977, 110567, 30813, 71289, 106142, 28713, 30813, 30512, 112391, 30369, 100909, 103470, 102395, 109431, 20230, 103188, 48154, 17663, 105908, 125545, 9174, 53900, 34208, 102452, 15682, 5486, 33748, 30813, 58942, 30591, 104984, 112900, 30512, 105360, 103854, 103470, 107173, 27384, 110095, 16556, 102456, 116450, 30512, 116310, 104004, 105908, 103082, 5486, 108638, 33503, 25827, 16144, 75267, 103306, 76706, 109526, 235, 39926, 120700, 33541, 9174, 14711, 109006, 117355, 20230, 33655, 105262, 65854, 56965, 198, 34208, 102452, 15682, 19732, 111243, 46034, 117355, 26854, 65854, 56965, 103306, 32977, 121432, 78434, 9174, 9458, 34208, 102452, 16144, 46729, 77913, 15682, 125261, 9554, 127284, 15024, 126172, 16995, 198, 9458, 117856, 31431, 65854, 16144, 107253, 104874, 32977, 52927, 108638, 30512, 121536, 47884, 121142, 108608, 198, 102433, 29430, 16144, 46729, 77913, 15682, 127284, 29295, 15024, 126172, 16995, 104466, 113404, 116216, 108086, 5486, 34208, 102452, 102052, 65854, 56965, 103306, 46034, 117355, 20230, 33655, 105262, 102677, 39850, 37823, 67075, 115991, 33541, 9174, 14711, 108825, 22649, 112535, 33655, 105262, 121120, 102452, 198, 121120, 102452, 103306, 34208, 102452, 124905, 30297, 123017, 40862, 22649, 9554, 38641, 9174, 9458, 52927, 108638, 124905, 78183, 100604, 39177, 15682, 28713, 103846, 81219, 116245, 30512, 19732, 110104, 198, 85701, 120577, 114667, 55031, 5486, 34208, 102452, 15682, 121120, 102452, 103306, 32977, 70563, 26269, 47307, 37823, 126529, 38641, 9174, 14711, 75677, 120, 83747, 23538, 117255, 67645, 32977, 114834, 198, 34208, 102452, 15682, 113261, 83747, 23538, 117255, 67645, 32977, 29295, 109739, 104369, 116245, 103306, 32977, 32335, 109431, 38641, 9174, 9458, 115289, 33503, 107188, 40198, 111, 16144, 29220, 26269, 104272, 34171, 29295, 126507, 126507, 16144, 39177, 23538, 16144, 109657, 108056, 16144, 33014, 20230, 104622, 102800, 198, 9458, 90962, 91062, 103223, 109913, 58942, 29295, 15024, 126172, 16995, 198, 34208, 102452, 20230, 33655, 126832, 40198, 111, 102052, 107246, 79785, 34171, 105284, 115991, 5486, 127032, 29295, 15682, 116826, 105557, 17129, 78183, 114598, 5486, 17297, 20230, 110315, 126660, 102677, 39850, 37823, 67075, 32977, 57903, 33541, 9174, 107608, 47884, 106142, 106956, 52591, 42634, 111672, 94550, 20230, 57106, 103854, 5486, 127032, 16144, 109739, 102802, 75267, 103306, 109431, 103792, 104468, 112844, 17129, 72661, 124897, 9174, 14711, 110834, 30832, 112535, 33655, 105262, 40198, 111, 118347, 61398, 198, 34208, 102452, 102052, 5486, 40198, 111, 105110, 77181, 16144, 76706, 11883, 41007, 29295, 43511, 105352, 57903, 33541, 9174, 9458, 19967, 101275, 108968, 16325, 113245, 37507, 65854, 32977, 5486, 108502, 45829, 30512, 119962, 109315, 118733, 30832, 125062, 21105, 234, 108608, 198, 9458, 33748, 30512, 20834, 72342, 81219, 102181, 50834, 53953, 32977, 88367, 198, 9458, 43240, 30832, 112535, 33655, 105262, 40198, 111, 118347, 61398, 107407, 19732, 5486, 127177, 114834, 30512, 108285, 47884, 33655, 105262, 198, 34208, 102452, 15682, 5486, 19967, 101275, 118347, 61398, 16144, 105184, 33563, 29295, 112825, 110904, 38641, 9174, 106390, 102452, 16144, 71493, 25005, 248, 67075, 71289, 102741, 104774, 120938, 16556, 108914, 102754, 107, 53953, 30512, 28713, 28713, 104004, 105755, 5486, 33748, 30512, 91875, 123772, 5486, 108914, 102754, 107, 53953, 30512, 40198, 111, 120938, 20230, 108285, 102639, 5486, 37795, 96, 20230, 111090, 125933, 55038, 30512, 121406, 115789, 106084, 30369, 103846, 5486, 19967, 101275, 29295, 126120, 96455, 9554, 102052, 32149, 67645, 31431, 33541, 9174, 14711, 59243, 102452, 16144, 101182, 46729, 15682, 127178, 47260, 71634, 29295, 126574, 198, 567, 107929, 111, 20230, 125062, 103646, 126120, 27327, 107118, 198, 34208, 102452, 20230, 33655, 78183, 115032, 40198, 111, 102052, 5486, 103826, 104680, 26854, 126120, 27327, 107407, 106592, 48154, 25359, 53283, 123253, 32149, 9174, 103350, 104983, 20230, 67645, 103171, 126120, 27327, 29295, 125062, 110731, 104865, 5486, 117896, 32977, 124283, 102212, 98369, 20230, 104655, 102532, 64121, 79721, 9174, 9458, 102395, 109431, 26854, 102452, 104840, 5486, 122539, 27479, 111363, 104873, 64531, 121432, 198, 9458, 35894, 95221, 16144, 27699, 226, 33208, 113266, 198, 9458, 102765, 112586, 37823, 32131, 107840, 8239, 114503, 198, 9458, 103309, 56965, 72661, 104654, 79785, 29295, 95221, 101983, 110104, 103181, 79785, 34171, 198, 9458, 108436, 25827, 72661, 50211, 95221, 26854, 29220, 26269, 104272, 34171, 198, 9458, 40198, 111, 16144, 111108, 114887, 34171, 198, 14711, 125781, 109431, 26854, 102452, 104840, 5486, 122539, 27479, 111363, 104873, 64531, 121432, 198, 14711, 113992, 95221, 16144, 27699, 226, 33208, 113266, 198, 2118, 16995, 105301, 863, 16144, 64889, 28190, 102052, 43568, 9039, 16144, 123222, 115991, 76947, 5486, 33671, 16144, 19361, 104698, 53953, 105284, 71289, 5486, 115389, 26854, 78683, 90962, 25197, 30512, 107246, 100815, 39926, 124089, 116233, 9174, 9458, 57207, 48552, 102040, 115474, 111571, 103550, 104336, 16144, 113385, 117282, 44620, 39880, 64810, 20251, 107908, 68408, 107461, 45923, 36761, 198, 9458, 47307, 66953, 47260, 5486, 99695, 67075, 16144, 78683, 90962, 25197, 198, 14711, 113869, 112586, 37823, 32131, 107840, 8239, 114503, 198, 16995, 105301, 863, 16144, 119458, 102765, 13153, 17620, 19732, 58426, 96412, 19361, 33857, 109853, 48154, 126362, 78434, 9174, 91, 108055, 115686, 8239, 114503, 115991, 5486, 105466, 102138, 16144, 35894, 95221, 126867, 54322, 20834, 110731, 198, 44620, 106384, 20251, 109482, 105404, 36761, 765, 508, 113127, 198, 91, 17039, 102800, 40198, 111, 16144, 118116, 13177, 103435, 238, 32149, 102800, 102765, 31431, 117503, 37656, 33014, 198, 44620, 76428, 107461, 45923, 42634, 39880, 29220, 78459, 78683, 76428, 118028, 45923, 36761, 765, 605, 113127, 198, 91, 39880, 42634, 68759, 57933, 32131, 70563, 38248, 226, 33334, 86894, 241, 121240, 102765, 42506, 104309, 20230, 33655, 126832, 66953, 78683, 32131, 76739, 26269, 64810, 107446, 16144, 53229, 42506, 198, 44620, 66953, 78683, 107805, 36761, 765, 21, 113127, 198, 14711, 41766, 250, 56965, 72661, 104654, 79785, 29295, 95221, 101983, 110104, 103181, 79785, 34171, 198, 14711, 113168, 95, 25827, 72661, 50211, 95221, 26854, 29220, 26269, 104272, 34171, 198, 14711, 107929, 111, 16144, 111108, 114887, 34171, 198, 9458, 117384, 13821, 111, 120950, 5486, 102508, 223, 29295, 121819, 123332, 116216, 114050, 101983, 103836, 106391, 67178, 198, 9458, 19361, 109177, 102472, 117718, 102404, 21990, 29295, 83747, 100604, 5486, 113420, 80699, 72238, 103234, 29295, 33655, 78183, 115032, 198, 14711, 107929, 111, 16144, 114172, 102512, 198, 40198, 111, 16144, 126120, 27327, 30512, 107969, 47884, 102158, 76947, 122396, 124283, 102212, 98369, 1811, 112990, 5486, 71493, 66953, 16073, 55031, 33334, 32977, 104004, 85791, 20230, 114172, 102512, 16144, 100927, 70626, 102181, 30512, 108167, 121216, 79721, 9174, 567, 59243, 102452, 16144, 68408, 39850, 37823, 67075, 198, 19732, 114598, 102987, 16995, 40198, 111, 16144, 114172, 102512, 16144, 87177, 16144, 74482, 16556, 104655, 47884, 104468, 109755, 123332, 103351, 16144, 119627, 5486, 34208, 102452, 16144, 68408, 39850, 37823, 67075, 109853, 32977, 104655, 102532, 64121, 79721, 9174, 14711, 107929, 111, 16144, 39850, 108304, 96452, 107446, 102052, 46034, 56965, 19732, 106382, 11883, 29295, 32149, 117295, 95532, 43514, 26854, 64121, 20230, 5486, 125364, 103234, 30512, 108618, 15024, 5486, 40198, 111, 21405, 116771, 30512, 108167, 109913, 105262, 44620, 21405, 109913, 58942, 36761, 15682, 20, 21909, 22, 8107, 29295, 30832, 51385, 108176, 102131, 38641, 9174, 827, 110557, 78683, 71289, 71493, 91482, 29295, 102404, 21990, 15024, 126172, 16995, 198, 90620, 15024, 5486, 99959, 78683, 71289, 71493, 91482, 29295, 102404, 21990, 39926, 114732, 104468, 112294, 28542, 19732, 78244, 105262, 32149, 110241, 33121, 107515, 9174, 9458, 21418, 122539, 198, 9458, 19012, 225, 21418, 198, 51330, 18, 59739, 30512, 17599, 117, 104792, 39926, 5486, 99959, 78683, 71289, 71493, 91482, 16144, 102404, 21990, 30512, 103181, 105557, 17129, 109954, 9174, 14711, 86758, 17905, 16144, 61633, 28542, 198, 34208, 102452, 124905, 30297, 17905, 16556, 109215, 26854, 61633, 28542, 30512, 100927, 58942, 100481, 90620, 102334, 105879, 126362, 78434, 9174, 9458, 110581, 120225, 111848, 114218, 64121, 198, 9458, 78683, 90962, 25197, 5486, 21980, 248, 33121, 198, 9458, 9080, 123307, 76622, 111848, 39135, 16144, 104721, 33208, 198, 9458, 46729, 77913, 16144, 122561, 29295, 59739, 50834, 126172, 16995, 198, 40198, 111, 16144, 108167, 121247, 16995, 15682, 5486, 39850, 108304, 96452, 107446, 106382, 11883, 20230, 109467, 117375, 54926, 105494, 38641, 1811, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 9174, 827, 122901, 102, 120225, 111848, 114218, 64121, 198, 40198, 111, 16144, 21405, 28190, 15682, 110581, 120225, 20230, 112294, 102334, 62004, 5486, 103721, 232, 109205, 29295, 102769, 103468, 32938, 55031, 103672, 42634, 103672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 71634, 108744, 123160, 127298, 9458, 106222, 9554, 63212, 45829, 29295, 102987, 47884, 97518, 58318, 109768, 104533, 122225, 103646, 107803, 20230, 116771, 106116, 103429, 95221, 15682, 64209, 96356, 111571, 19732, 120761, 64889, 84389, 106116, 103429, 95221, 30512, 114363, 103722, 117408, 120761, 109519, 70626, 19732, 40265, 70626, 16556, 5486, 115963, 105360, 23039, 16556, 71005, 109519, 117824, 107462, 50834, 33541, 9174, 53900, 5486, 40265, 70626, 77181, 127298, 101559, 111848, 114363, 103722, 109904, 71493, 115691, 64810, 122835, 15682, 23039, 76947, 108086, 107515, 9174, 14711, 115934, 96356, 111571, 19732, 120761, 64889, 107001, 105908, 127181, 111006, 116436, 111694, 198, 12, 105750, 120, 107246, 32648, 39276, 5232, 103241, 245, 36651, 46456, 83601, 246, 23018, 198, 12, 85241, 103, 108476, 32648, 39276, 5232, 104523, 107328, 34171, 45736, 104473, 121819, 5486, 72718, 80195, 34171, 104873, 107792, 108502, 104698, 5486, 115534, 104473, 34171, 64209, 116436, 111694, 198, 12, 6704, 28857, 33208, 32648, 39276, 5232, 104102, 236, 112163, 34171, 101921, 116, 111571, 103550, 104336, 5486, 121432, 34171, 103857, 118347, 57326, 125581, 5486, 91939, 225, 114093, 64467, 101921, 116, 103558, 108, 114431, 235, 198, 12, 110096, 17620, 14888, 234, 9458, 31640, 118835, 39276, 5232, 114617, 244, 126017, 103429, 5486, 117178, 112624, 111571, 5486, 104486, 103397, 101921, 118, 121432, 6823, 95, 103130, 111571, 198, 12, 106711, 106613, 9458, 119049, 107079, 39276, 5232, 116201, 232, 105714, 25287, 103892, 108631, 5486, 35818, 103892, 108631, 198, 12, 220, 105871, 104735, 248, 70626, 108761, 103438, 5232, 121151, 95, 34171, 109304, 223, 108068, 101734, 117, 115132, 20251, 93298, 34171, 105871, 104735, 248, 114052, 198, 14711, 115934, 109519, 32943, 70626, 16556, 120761, 30369, 103429, 95221, 198, 40265, 70626, 77181, 64209, 96356, 111571, 30512, 104356, 20230, 5486, 99046, 224, 102456, 108502, 104698, 10110, 101365, 106613, 34171, 71289, 72342, 111571, 5486, 101365, 106613, 34171, 103188, 102456, 111571, 104309, 65459, 95221, 17620, 108502, 104698, 5486, 127408, 111571, 10110, 127408, 108502, 104698, 7705, 123160, 120761, 109519, 117824, 76947, 61689, 9174, 567, 120174, 120761, 107001, 24273, 111363, 39850, 26269, 64810, 78767, 198, 40265, 70626, 16144, 48915, 37507, 15682, 5486, 85707, 120761, 9458, 88356, 120761, 107173, 20230, 122617, 120999, 44416, 104856, 76947, 108086, 33541, 124192, 70626, 16144, 48915, 37507, 114475, 120761, 107001, 104983, 15682, 5486, 59614, 101860, 48154, 120999, 72315, 1811, 128001, 128000, 2, 59243, 102452, 16144, 39850, 37823, 67075, 107118, 11571, 40198, 111, 16144, 107420, 20230, 104655, 102532, 64121, 28713, 198, 102433, 17792, 102052, 26854, 100204, 64121, 29295, 102987, 16995, 34208, 102452, 9174, 80673, 5486, 60358, 8107, 15682, 34208, 102452, 16144, 100604, 46729, 32977, 115079, 58942, 5486, 34208, 102452, 16556, 103188, 48154, 56051, 105908, 83747, 100604, 101083, 31640, 32977, 115079, 107290, 50834, 79721, 9174, 16325, 102491, 126783, 16144, 105525, 36668, 55031, 112990, 5486, 105525, 31431, 121406, 110018, 20230, 34208, 102452, 76947, 109215, 26854, 104865, 11571, 16995, 42891, 27929, 40198, 111, 30512, 52591, 42634, 111672, 94550, 116446, 114604, 24273, 29295, 104712, 16144, 77181, 11571, 119150, 115789, 101182, 123253, 9174, 80673, 5486, 34208, 102452, 71289, 40198, 111, 102052, 5486, 106390, 102452, 9458, 52591, 42634, 111672, 94550, 102052, 100604, 101523, 227, 48634, 29295, 121771, 98369, 101182, 16144, 38641, 9174, 37271, 18904, 15682, 5486, 34208, 102452, 71289, 40198, 111, 16144, 39850, 37823, 67075, 109853, 111476, 115638, 966, 8107, 109832, 101275, 16144, 92877, 124750, 40198, 111, 102571, 115867, 124773, 91482, 109496, 30512, 39209, 58942, 106272, 126362, 78434, 9174, 567, 6704, 100, 246, 104680, 26854, 11883, 108968, 16556, 33655, 105262, 34208, 102452, 16144, 39850, 37823, 67075, 198, 34208, 102452, 16144, 101182, 46729, 102052, 43511, 20230, 67645, 103171, 39850, 37823, 67075, 107407, 104865, 115515, 18904, 15682, 198, 115638, 966, 8107, 55031, 106307, 47884, 92877, 124750, 40198, 111, 102571, 98369, 5232, 124283, 102212, 40198, 111, 33122, 72516, 16144, 106691, 124283, 102212, 103826, 107898, 17885, 118, 16995, 39926, 50834, 79721, 1811, 63415, 42016, 104157, 54926, 106759, 16144, 107063, 102, 117714, 75267, 198, 9458, 108638, 33503, 25827, 16144, 104157, 56965, 198, 9458, 46034, 117355, 20230, 33655, 105262, 65854, 56965, 198, 9458, 40862, 22649, 112535, 33655, 105262, 121120, 102452, 198, 9458, 113261, 83747, 23538, 117255, 101662, 38144, 114834, 198, 9458, 43240, 30832, 112535, 33655, 105262, 40198, 111, 118347, 61398, 198, 14711, 110927, 104157, 54926, 106759, 16144, 107063, 102, 117714, 75267, 198, 106759, 101083, 31640, 125030, 76947, 46065, 112, 108208, 64121, 16144, 102987, 16995, 34208, 102452, 15682, 5486, 48154, 101908, 122924, 67645, 112384, 116421, 110176, 106759, 110792, 42016, 104157, 103911, 23187, 107407, 24273, 125030, 76947, 39850, 37823, 67075, 115991, 33541, 9174, 107063, 102, 117714, 75267, 103306, 76706, 109526, 235, 54926, 118733, 109954, 9174, 14711, 50702, 96, 33503, 25827, 16144, 104157, 56965, 198, 104157, 122756, 34208, 102452, 30512, 102647, 104369, 118733, 5486, 64121, 103171, 20230, 39850, 37823, 67075, 115991, 33541, 9174, 9458, 122013, 71289, 113850, 56965, 29295, 108638, 33503, 25827, 39926, 102456, 30926, 108608, 198, 9458, 58426, 110674, 103621, 125933, 19732, 121120, 108436, 29295, 104028, 9174, 52591, 42634, 111672, 94550, 16144, 37271, 19732, 57106, 103854, 104533, 5486, 72238, 102780, 16556, 102532, 32977, 110567, 30813, 71289, 106142, 28713, 30813, 30512, 112391, 30369, 100909, 103470, 102395, 109431, 20230, 103188, 48154, 17663, 105908, 125545, 9174, 53900, 34208, 102452, 15682, 5486, 33748, 30813, 58942, 30591, 104984, 112900, 30512, 105360, 103854, 103470, 107173, 27384, 110095, 16556, 102456, 116450, 30512, 116310, 104004, 105908, 103082, 5486, 108638, 33503, 25827, 16144, 75267, 103306, 76706, 109526, 235, 39926, 120700, 33541, 9174, 14711, 109006, 117355, 20230, 33655, 105262, 65854, 56965, 198, 34208, 102452, 15682, 19732, 111243, 46034, 117355, 26854, 65854, 56965, 103306, 32977, 121432, 78434, 9174, 9458, 34208, 102452, 16144, 46729, 77913, 15682, 125261, 9554, 127284, 15024, 126172, 16995, 198, 9458, 117856, 31431, 65854, 16144, 107253, 104874, 32977, 52927, 108638, 30512, 121536, 47884, 121142, 108608, 198, 102433, 29430, 16144, 46729, 77913, 15682, 127284, 29295, 15024, 126172, 16995, 104466, 113404, 116216, 108086, 5486, 34208, 102452, 102052, 65854, 56965, 103306, 46034, 117355, 20230, 33655, 105262, 102677, 39850, 37823, 67075, 115991, 33541, 9174, 14711, 108825, 22649, 112535, 33655, 105262, 121120, 102452, 198, 121120, 102452, 103306, 34208, 102452, 124905, 30297, 123017, 40862, 22649, 9554, 38641, 9174, 9458, 52927, 108638, 124905, 78183, 100604, 39177, 15682, 28713, 103846, 81219, 116245, 30512, 19732, 110104, 198, 85701, 120577, 114667, 55031, 5486, 34208, 102452, 15682, 121120, 102452, 103306, 32977, 70563, 26269, 47307, 37823, 126529, 38641, 9174, 14711, 75677, 120, 83747, 23538, 117255, 67645, 32977, 114834, 198, 34208, 102452, 15682, 113261, 83747, 23538, 117255, 67645, 32977, 29295, 109739, 104369, 116245, 103306, 32977, 32335, 109431, 38641, 9174, 9458, 115289, 33503, 107188, 40198, 111, 16144, 29220, 26269, 104272, 34171, 29295, 126507, 126507, 16144, 39177, 23538, 16144, 109657, 108056, 16144, 33014, 20230, 104622, 102800, 198, 9458, 90962, 91062, 103223, 109913, 58942, 29295, 15024, 126172, 16995, 198, 34208, 102452, 20230, 33655, 126832, 40198, 111, 102052, 107246, 79785, 34171, 105284, 115991, 5486, 127032, 29295, 15682, 116826, 105557, 17129, 78183, 114598, 5486, 17297, 20230, 110315, 126660, 102677, 39850, 37823, 67075, 32977, 57903, 33541, 9174, 107608, 47884, 106142, 106956, 52591, 42634, 111672, 94550, 20230, 57106, 103854, 5486, 127032, 16144, 109739, 102802, 75267, 103306, 109431, 103792, 104468, 112844, 17129, 72661, 124897, 9174, 14711, 110834, 30832, 112535, 33655, 105262, 40198, 111, 118347, 61398, 198, 34208, 102452, 102052, 5486, 40198, 111, 105110, 77181, 16144, 76706, 11883, 41007, 29295, 43511, 105352, 57903, 33541, 9174, 9458, 19967, 101275, 108968, 16325, 113245, 37507, 65854, 32977, 5486, 108502, 45829, 30512, 119962, 109315, 118733, 30832, 125062, 21105, 234, 108608, 198, 9458, 33748, 30512, 20834, 72342, 81219, 102181, 50834, 53953, 32977, 88367, 198, 9458, 43240, 30832, 112535, 33655, 105262, 40198, 111, 118347, 61398, 107407, 19732, 5486, 127177, 114834, 30512, 108285, 47884, 33655, 105262, 198, 34208, 102452, 15682, 5486, 19967, 101275, 118347, 61398, 16144, 105184, 33563, 29295, 112825, 110904, 38641, 9174, 106390, 102452, 16144, 71493, 25005, 248, 67075, 71289, 102741, 104774, 120938, 16556, 108914, 102754, 107, 53953, 30512, 28713, 28713, 104004, 105755, 5486, 33748, 30512, 91875, 123772, 5486, 108914, 102754, 107, 53953, 30512, 40198, 111, 120938, 20230, 108285, 102639, 5486, 37795, 96, 20230, 111090, 125933, 55038, 30512, 121406, 115789, 106084, 30369, 103846, 5486, 19967, 101275, 29295, 126120, 96455, 9554, 102052, 32149, 67645, 31431, 33541, 9174, 14711, 59243, 102452, 16144, 101182, 46729, 15682, 127178, 47260, 71634, 29295, 126574, 198, 567, 107929, 111, 20230, 125062, 103646, 126120, 27327, 107118, 198, 34208, 102452, 20230, 33655, 78183, 115032, 40198, 111, 102052, 5486, 103826, 104680, 26854, 126120, 27327, 107407, 106592, 48154, 25359, 53283, 123253, 32149, 9174, 103350, 104983, 20230, 67645, 103171, 126120, 27327, 29295, 125062, 110731, 104865, 5486, 117896, 32977, 124283, 102212, 98369, 20230, 104655, 102532, 64121, 79721, 9174, 9458, 102395, 109431, 26854, 102452, 104840, 5486, 122539, 27479, 111363, 104873, 64531, 121432, 198, 9458, 35894, 95221, 16144, 27699, 226, 33208, 113266, 198, 9458, 102765, 112586, 37823, 32131, 107840, 8239, 114503, 198, 9458, 103309, 56965, 72661, 104654, 79785, 29295, 95221, 101983, 110104, 103181, 79785, 34171, 198, 9458, 108436, 25827, 72661, 50211, 95221, 26854, 29220, 26269, 104272, 34171, 198, 9458, 40198, 111, 16144, 111108, 114887, 34171, 198, 14711, 125781, 109431, 26854, 102452, 104840, 5486, 122539, 27479, 111363, 104873, 64531, 121432, 198, 14711, 113992, 95221, 16144, 27699, 226, 33208, 113266, 198, 2118, 16995, 105301, 863, 16144, 64889, 28190, 102052, 43568, 9039, 16144, 123222, 115991, 76947, 5486, 33671, 16144, 19361, 104698, 53953, 105284, 71289, 5486, 115389, 26854, 78683, 90962, 25197, 30512, 107246, 100815, 39926, 124089, 116233, 9174, 9458, 57207, 48552, 102040, 115474, 111571, 103550, 104336, 16144, 113385, 117282, 44620, 39880, 64810, 20251, 107908, 68408, 107461, 45923, 36761, 198, 9458, 47307, 66953, 47260, 5486, 99695, 67075, 16144, 78683, 90962, 25197, 198, 14711, 113869, 112586, 37823, 32131, 107840, 8239, 114503, 198, 16995, 105301, 863, 16144, 119458, 102765, 13153, 17620, 19732, 58426, 96412, 19361, 33857, 109853, 48154, 126362, 78434, 9174, 91, 108055, 115686, 8239, 114503, 115991, 5486, 105466, 102138, 16144, 35894, 95221, 126867, 54322, 20834, 110731, 198, 44620, 106384, 20251, 109482, 105404, 36761, 765, 508, 113127, 198, 91, 17039, 102800, 40198, 111, 16144, 118116, 13177, 103435, 238, 32149, 102800, 102765, 31431, 117503, 37656, 33014, 198, 44620, 76428, 107461, 45923, 42634, 39880, 29220, 78459, 78683, 76428, 118028, 45923, 36761, 765, 605, 113127, 198, 91, 39880, 42634, 68759, 57933, 32131, 70563, 38248, 226, 33334, 86894, 241, 121240, 102765, 42506, 104309, 20230, 33655, 126832, 66953, 78683, 32131, 76739, 26269, 64810, 107446, 16144, 53229, 42506, 198, 44620, 66953, 78683, 107805, 36761, 765, 21, 113127, 198, 14711, 41766, 250, 56965, 72661, 104654, 79785, 29295, 95221, 101983, 110104, 103181, 79785, 34171, 198, 14711, 113168, 95, 25827, 72661, 50211, 95221, 26854, 29220, 26269, 104272, 34171, 198, 14711, 107929, 111, 16144, 111108, 114887, 34171, 198, 9458, 117384, 13821, 111, 120950, 5486, 102508, 223, 29295, 121819, 123332, 116216, 114050, 101983, 103836, 106391, 67178, 198, 9458, 19361, 109177, 102472, 117718, 102404, 21990, 29295, 83747, 100604, 5486, 113420, 80699, 72238, 103234, 29295, 33655, 78183, 115032, 198, 14711, 107929, 111, 16144, 114172, 102512, 198, 40198, 111, 16144, 126120, 27327, 30512, 107969, 47884, 102158, 76947, 122396, 124283, 102212, 98369, 1811, 112990, 5486, 71493, 66953, 16073, 55031, 33334, 32977, 104004, 85791, 20230, 114172, 102512, 16144, 100927, 70626, 102181, 30512, 108167, 121216, 79721, 9174, 567, 59243, 102452, 16144, 68408, 39850, 37823, 67075, 198, 19732, 114598, 102987, 16995, 40198, 111, 16144, 114172, 102512, 16144, 87177, 16144, 74482, 16556, 104655, 47884, 104468, 109755, 123332, 103351, 16144, 119627, 5486, 34208, 102452, 16144, 68408, 39850, 37823, 67075, 109853, 32977, 104655, 102532, 64121, 79721, 9174, 14711, 107929, 111, 16144, 39850, 108304, 96452, 107446, 102052, 46034, 56965, 19732, 106382, 11883, 29295, 32149, 117295, 95532, 43514, 26854, 64121, 20230, 5486, 125364, 103234, 30512, 108618, 15024, 5486, 40198, 111, 21405, 116771, 30512, 108167, 109913, 105262, 44620, 21405, 109913, 58942, 36761, 15682, 20, 21909, 22, 8107, 29295, 30832, 51385, 108176, 102131, 38641, 9174, 827, 110557, 78683, 71289, 71493, 91482, 29295, 102404, 21990, 15024, 126172, 16995, 198, 90620, 15024, 5486, 99959, 78683, 71289, 71493, 91482, 29295, 102404, 21990, 39926, 114732, 104468, 112294, 28542, 19732, 78244, 105262, 32149, 110241, 33121, 107515, 9174, 9458, 21418, 122539, 198, 9458, 19012, 225, 21418, 198, 51330, 18, 59739, 30512, 17599, 117, 104792, 39926, 5486, 99959, 78683, 71289, 71493, 91482, 16144, 102404, 21990, 30512, 103181, 105557, 17129, 109954, 9174, 14711, 86758, 17905, 16144, 61633, 28542, 198, 34208, 102452, 124905, 30297, 17905, 16556, 109215, 26854, 61633, 28542, 30512, 100927, 58942, 100481, 90620, 102334, 105879, 126362, 78434, 9174, 9458, 110581, 120225, 111848, 114218, 64121, 198, 9458, 78683, 90962, 25197, 5486, 21980, 248, 33121, 198, 9458, 9080, 123307, 76622, 111848, 39135, 16144, 104721, 33208, 198, 9458, 46729, 77913, 16144, 122561, 29295, 59739, 50834, 126172, 16995, 198, 40198, 111, 16144, 108167, 121247, 16995, 15682, 5486, 39850, 108304, 96452, 107446, 106382, 11883, 20230, 109467, 117375, 54926, 105494, 38641, 1811, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 9174, 827, 122901, 102, 120225, 111848, 114218, 64121, 198, 40198, 111, 16144, 21405, 28190, 15682, 110581, 120225, 20230, 112294, 102334, 62004, 5486, 103721, 232, 109205, 29295, 102769, 103468, 32938, 55031, 103672, 42634, 103672 ]
[ 42634, 108176, 109755, 33121, 115991, 33541, 9174, 9458, 99695, 67075, 16144, 76207, 103, 198, 9458, 46729, 77913, 16144, 127284, 198, 85701, 120577, 28542, 109853, 5486, 114834, 124905, 126832, 24273, 111363, 61633, 28542, 103306, 15017, 231, 105262, 105908, 109215, 38641, 9174, 43514, 26854, 64121, 20230, 19012, 225, 21418, 16144, 104983, 15682, 5486, 77062, 243, 162, 104, 248, 10110, 15024, 116186, 85791, 7705, 118881, 50834, 104309, 16556, 5486, 40198, 111, 16144, 30832, 20230, 27929, 76947, 19012, 225, 50834, 5486, 53610, 26955, 255, 50834, 71289, 119455, 26955, 255, 50834, 16556, 106548, 109415, 30369, 105908, 84851, 28194, 101, 116216, 61689, 9174, 827, 115538, 90962, 25197, 5486, 21980, 248, 33121, 198, 40198, 111, 30512, 52591, 42634, 111672, 94550, 19732, 57106, 103854, 104533, 5486, 106391, 67178, 17905, 5486, 78683, 90962, 25197, 9458, 21980, 248, 33121, 20230, 112294, 16995, 28190, 115991, 33541, 9174, 104398, 107188, 37795, 247, 56965, 29295, 43240, 102334, 62004, 5486, 53610, 17620, 29295, 108208, 64121, 121423, 126172, 47884, 5486, 47260, 25005, 240, 38248, 226, 105194, 97, 104754, 5486, 127032, 16144, 121995, 16144, 77913, 109739, 102802, 102083, 100472, 5486, 39135, 16144, 127919, 16995, 107654, 33014, 21980, 248, 33121, 15682, 5486, 100815, 39135, 16144, 113385, 9174, 58426, 103846, 5486, 71493, 25005, 248, 67075, 30512, 121536, 47884, 123160, 117271, 71289, 5486, 17701, 104611, 26854, 19012, 225, 21418, 29295, 109215, 117282, 103846, 5486, 78683, 90962, 25197, 71289, 21980, 248, 33121, 20230, 112294, 16995, 40198, 111, 16144, 68408, 39850, 37823, 67075, 38641, 9174, 827, 76502, 123307, 76622, 111848, 39135, 16144, 104721, 33208, 198, 40198, 111, 16144, 39135, 16144, 104721, 33208, 15682, 5486, 114834, 37087, 33014, 29295, 102491, 109416, 107441, 91774, 58942, 33541, 9174, 9080, 101426, 111848, 117508, 48915, 101911, 29295, 113385, 16556, 5486, 114834, 16144, 9080, 40265, 28713, 112586, 116690, 54926, 103846, 5486, 108038, 102052, 103181, 105557, 50834, 33121, 107515, 9174, 23226, 106594, 54926, 103846, 102052, 5486, 23042, 71493, 67075, 71493, 111073, 16073, 30512, 108167, 47000, 105784, 32149, 5486, 9080, 123307, 76622, 120837, 40198, 111, 29295, 58666, 106624, 91774, 105262, 45736, 104297, 26854, 40198, 111, 124905, 30297, 104309, 5486, 103283, 108968, 106382, 11883, 32149, 117295, 103359, 105226, 29295, 109215, 26854, 103846, 5486, 34208, 102452, 10110, 40198, 111, 120732, 68408, 39850, 37823, 67075, 38641, 9174, 827, 111279, 77913, 16144, 122561, 29295, 59739, 50834, 126172, 16995, 198, 46729, 77913, 16144, 30358, 64121, 113468, 40198, 111, 20230, 122561, 29295, 108618, 31431, 126172, 16995, 38641, 9174, 9458, 46729, 77913, 30512, 22324, 47884, 104983, 15682, 112160, 18904, 31431, 119448, 16995, 76505, 16144, 88631, 30512, 121536, 102532, 55031, 22324, 47884, 198, 103181, 104699, 103846, 102052, 5486, 111600, 30358, 30512, 17620, 107471, 124545, 105908, 120098, 9174, 66378, 20230, 5486, 46729, 77913, 30512, 127284, 107726, 104533, 50834, 15682, 5486, 40198, 111, 16144, 118146, 114218, 59739, 124324, 104466, 54926, 115789, 107693, 38641, 9174, 53900, 5486, 83812, 225, 110726, 53953, 14558, 16144, 126513, 53229, 103397, 18904, 109095, 16144, 109215, 107407, 103846, 5486, 46729, 77913, 16144, 18655, 121247, 102052, 61633, 29295, 109215, 38641, 9174, 567, 59243, 102452, 30512, 52591, 42634, 111672, 94550, 117657, 104468, 198, 16325, 102491, 126783, 30512, 107691, 30297, 107707, 43240, 47884, 15682, 5486, 85707, 107436, 126783, 30512, 109198, 17701, 54926, 105268, 16995, 114050, 38641, 9174, 120550, 104533, 40198, 111, 119703, 112973, 40265, 115926, 25580, 101983, 103836, 17792, 32977, 43240, 47884, 5486, 105525, 36668, 103306, 15682, 40198, 111, 30512, 58426, 110674, 116446, 33334, 47884, 125231, 32149, 5486, 52591, 42634, 111672, 94550, 116446, 114732, 125231, 32149, 109440, 103836, 24273, 32977, 107991, 123253, 9174, 58426, 28542, 109853, 124283, 102212, 98369, 20230, 105284, 99397, 39926, 64121, 79721, 9174, 14711, 107929, 111, 30512, 52591, 42634, 111672, 94550, 117657, 104468, 51385, 16995, 198, 827, 80019, 40198, 111, 16144, 39209, 109033, 104023, 21, 40198, 111, 16556, 18, 110743, 21909, 23, 110743, 29295, 50021, 75267, 198, 43514, 26854, 64121, 20230, 5486, 21, 40198, 111, 16144, 34208, 102452, 122617, 16144, 40198, 111, 30512, 17039, 25446, 20230, 39209, 109033, 56051, 107803, 5486, 18, 110743, 21909, 23, 110743, 29295, 50021, 75267, 38641, 9174, 40198, 111, 16144, 104091, 104770, 102052, 5486, 102508, 223, 30512, 125364, 103234, 20230, 33655, 100472, 22656, 40198, 111, 19732, 5486, 89154, 112997, 78459, 111999, 108526, 103202, 30512, 125364, 103234, 20230, 33655, 100472, 40198, 111, 103672, 65575, 115991, 5486, 25580, 30046, 29295, 45736, 95001, 5486, 74482, 30046, 30512, 25766, 231, 95001, 103306, 61689, 9174, 827, 107934, 233, 102452, 111363, 37823, 108526, 103202, 106382, 11883, 104023, 21, 40198, 111, 16556, 508, 110743, 25580, 74482, 29295, 50021, 75267, 198, 15120, 24273, 5486, 34208, 102452, 30512, 36827, 103932, 55031, 107918, 103296, 108038, 20230, 106390, 102452, 102416, 37823, 108526, 103202, 54926, 102052, 21, 40089, 16556, 508, 110743, 108680, 32149, 107277, 33541, 9174, 27929, 32977, 27929, 32977, 40198, 111, 102052, 19, 6358, 25580, 123470, 112950, 64121, 107407, 110115, 103359, 15024, 5486, 52591, 42634, 111672, 94550, 15682, 16, 13, 20, 6358, 113314, 16144, 112950, 64121, 67016, 103470, 5486, 105714, 31431, 109913, 58942, 103378, 77181, 37795, 96, 16144, 114834, 110792, 38574, 104364, 29295, 106084, 38144, 114732, 103846, 5486, 17297, 30590, 49792, 30926, 29295, 109215, 38641, 9174, 32977, 43514, 85791, 25827, 107918, 28190, 116771, 16144, 49792, 30926, 16144, 126513, 125821, 51385, 47884, 111587, 64121, 33541, 29295, 5486, 36827, 103932, 71289, 110426, 110792, 104873, 34208, 29295, 18655, 33121, 107515, 9174, 14711, 59243, 102494, 99959, 16073, 102677, 121507, 57942, 95, 32977, 101182, 198, 34208, 102452, 16144, 39850, 37823, 67075, 30512, 108618, 21105, 103, 29295, 33503, 5486, 106390, 102452, 120950, 25132, 108, 116310, 95221, 126694, 30369, 41007, 103306, 5486, 108768, 37823, 16144, 43568, 16995, 20321, 231, 79059, 40198, 111, 30512, 38129, 56051, 34208, 102494, 99959, 16073, 26854, 114834, 20230, 19967, 31431, 104721, 105262, 102677, 41007, 115991, 33541, 9174, 124283, 102212, 98369, 119279, 42891, 116826, 30369, 102052, 5486, 110219, 16144, 40198, 111, 30512, 39209, 109033, 54926, 126036, 42634, 38248, 111, 71634, 16556, 108948, 116826, 33121, 26854, 25132, 108, 116310, 95221, 20230, 106548, 115442, 30369, 105272, 110162, 9174, 124283, 102212, 40198, 111, 33122, 72516, 118969, 16144, 6748, 102052, 116898, 47884, 59739, 32149, 120219, 30926, 27452, 29295, 126362, 110731, 105879, 5486, 121846, 20230, 116216, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 567, 220, 123011, 62004, 5232, 34208, 102452, 105352, 40198, 111, 105352, 53283, 102204, 75694, 30369, 101523, 227, 48634, 125001, 124387, 101182, 198, 101182, 121142, 116414, 32149, 102433, 33503, 21105, 243, 30512, 112391, 107726, 38144, 124089, 34208, 102452, 9174, 58426, 101523, 227, 123457, 53283, 76947, 33334, 76622, 81219, 5486, 34208, 102452, 29295, 115612, 26854, 35894, 56965, 121711, 5486, 46729, 37026, 33014, 16144, 57326, 112718, 107908, 104774, 16144, 95001, 112603, 117084, 124089, 116497, 38641, 9174, 34208, 102452, 107407, 46729, 30512, 105525, 103950, 103306, 107991, 24273, 15682, 106116, 101523, 227, 123457, 108031, 127637, 88356, 114140, 39926, 107691, 16995, 124475, 108044, 107290, 122765, 38144, 72315, 1811, 128001, 128000, 567, 80019, 126952, 16144, 101918, 110176, 48154, 110792, 20251, 25197, 44971, 16144, 82912, 198, 17039, 126952, 15682, 102433, 16144, 45918, 229, 30369, 120018, 124752, 123141, 16556, 106116, 101918, 123727, 120370, 15682, 110498, 65854, 16144, 102395, 109431, 30813, 30512, 104862, 32018, 54926, 83799, 16556, 103130, 33208, 39926, 50834, 79721, 1811, 16325, 72661, 20251, 25197, 44971, 16144, 120370, 15682, 119448, 47884, 104721, 33208, 126020, 5486, 110770, 25287, 16144, 45, 7007, 50, 39276, 126328, 5486, 60358, 120987, 109904, 102867, 31958, 71289, 41190, 80805, 124643, 5486, 124981, 107271, 123167, 121432, 29295, 104874, 78183, 76947, 61689, 1811, 122270, 115847, 103296, 95475, 101721, 126101, 38129, 103082, 104435, 20251, 25197, 44971, 29295, 15120, 34048, 38129, 88367, 110276, 31431, 5486, 20251, 25197, 44971, 16144, 82912, 29295, 110498, 101918, 16144, 102395, 109431, 30813, 20230, 119448, 47884, 117375, 78434, 1811, 110382, 77181, 121453, 126952, 16144, 101918, 110176, 48154, 110792, 20251, 25197, 44971, 16144, 120370, 71289, 58426, 82912, 5486, 80539, 110498, 65854, 29295, 67645, 119775, 20251, 25197, 44971, 30512, 107740, 126693, 57980, 16995, 104865, 30512, 50338, 108323, 78434, 9174, 100437, 53666, 17039, 126952, 9458, 66378, 105047, 16144, 78459, 113821, 30512, 37026, 110362, 107898, 109948, 76622, 6447, 101110, 198, 14711, 83639, 17039, 25287, 45, 7007, 50, 39276, 16144, 20251, 25197, 44971, 120370, 198, 110770, 25287, 16144, 45, 7007, 50, 39276, 17039, 126952, 77181, 5486, 20251, 25197, 44971, 15682, 91774, 28713, 112661, 56965, 110901, 5486, 37087, 61994, 108010, 30297, 76864, 19732, 112391, 124545, 120987, 109904, 113404, 117084, 61689, 1811, 102057, 99, 118372, 16144, 56965, 30177, 102867, 31958, 29295, 102923, 84389, 5486, 41190, 80805, 124643, 29295, 43167, 103664, 84389, 5486, 121432, 9554, 115717, 79721, 118855, 5486, 104840, 53610, 102924, 103605, 10110, 124981, 107271, 123167, 7705, 29295, 99741, 104874, 116216, 108086, 5486, 101544, 82973, 16144, 127284, 72661, 102395, 109431, 20230, 103188, 48154, 72342, 33541, 1811, 122270, 5486, 95475, 101721, 39177, 72661, 15120, 34048, 16144, 20251, 25197, 44971, 29295, 38129, 88367, 121711, 79721, 118844, 120577, 20251, 25197, 44971, 15682, 5486, 101918, 110176, 16144, 103698, 9039, 18476, 101918, 111344, 108385, 112586, 82912, 127145, 9174, 14711, 100844, 100, 25287, 45, 7007, 32, 39276, 16144, 20251, 25197, 44971, 120370, 198, 15120, 24273, 5486, 110298, 25287, 16144, 45, 7007, 32, 39276, 77181, 121453, 25287, 107118, 108901, 109020, 120370, 115991, 33541, 29295, 108048, 72661, 102924, 103605, 15682, 104840, 53610, 121432, 114308, 16556, 5486, 114392, 26854, 102395, 109431, 30813, 115991, 33541, 113637, 114971, 16144, 20251, 25197, 44971, 32977, 121453, 25287, 19732, 42016, 103826, 20230, 101918, 110176, 16144, 103698, 9039, 18476, 101918, 111344, 108385, 112586, 86867, 116216, 61689, 118855, 5486, 20251, 25197, 44971, 15682, 106390, 29430, 29295, 17, 59739, 5486, 123737, 114363, 11883, 29295, 16, 118821, 103214, 64121, 114146, 16556, 5486, 806, 18476, 101918, 103378, 15682, 118347, 61398, 16144, 72368, 40862, 17905, 5486, 106390, 29430, 29295, 17, 59739, 16556, 123737, 114363, 11883, 20251, 25197, 44971, 115991, 107515, 9174, 14711, 108613, 25197, 44971, 103296, 16144, 124349, 25, 106030, 84477, 82912, 117758, 39880, 122086, 22398, 198, 17039, 126952, 121960, 20251, 25197, 44971, 103296, 16144, 124349, 15682, 5486, 102647, 102189, 103605, 105350, 113468, 119448, 47884, 108901, 26854, 31431, 33541, 1811, 101778, 119194, 17039, 126952, 77181, 59614, 101860, 845, 110176, 104817, 13153, 16556, 5486, 103605, 105350, 9039, 15682, 9413, 18, 105350, 104856, 76947, 61689, 109807, 103846, 5486, 20251, 25197, 44971, 15682, 59614, 101860, 103698, 9039, 18476, 101918, 16144, 111344, 108385, 112586, 57903, 5486, 101918, 110176, 16144, 79982, 20230, 60358, 16995, 103605, 105350, 126328, 39880, 122086, 22398, 29295, 119237, 38641, 1811, 101918, 110176, 107809, 106442, 20230, 103605, 105350, 107407, 126513, 105268, 104055, 105564, 47884, 109215, 115991, 33541, 29295, 5486, 115364, 127284, 124349, 71289, 20251, 25197, 44971, 107740, 16144, 118430, 27479, 20230, 114146, 38144, 103605, 105350, 30512, 102647, 104369, 19732, 105755, 102395, 109431, 26854, 104412, 29295, 126407, 62004, 33541, 9174, 567, 80019, 126952, 20251, 25197, 44971, 16144, 107740, 93298, 29220, 19732, 35894, 119188, 82973, 115351, 198, 17039, 126952, 16144, 107740, 30046, 29295, 15120, 87217, 103892, 30512, 101128, 102, 105823, 30369, 112973, 5486, 20251, 25197, 44971, 107740, 16144, 107507, 101198, 94550, 38641, 1811, 101544, 124349, 16144, 127284, 77181, 66378, 20230, 58426, 107693, 34171, 29295, 115079, 78434, 1811, 108968, 16325, 16556, 82533, 115464, 100909, 103470, 120018, 16556, 127284, 54926, 17039, 126952, 32943, 113245, 20251, 25197, 44971, 15682, 5486, 107740, 54926, 82973, 115351, 71289, 110498, 101918, 127749, 113468, 15682, 107960, 122202, 29295, 103911, 101067, 84389, 33541, 118844, 15682, 104412, 16144, 102395, 109431, 34171, 20230, 119448, 47884, 117375, 30512, 82317, 109416, 78434, 1811, 17039, 126952, 20251, 25197, 44971, 16144, 107740, 93298, 29220, 19732, 35894, 119188, 82973, 115351, 30512, 113954, 15024, 5486, 32335, 109431, 26854, 107740, 107507, 101198, 94550, 104088, 59739, 105784, 118733, 5486, 71634, 108744, 52591, 102540, 26854, 17039, 126952, 120523, 30512, 126407, 104004, 105908, 88367, 121711, 33541, 123601, 46028, 77181, 5486, 66378, 20230, 101544, 124349, 127284, 19732, 106649, 124349, 127284, 16144, 104983, 16144, 20251, 25197, 44971, 107740, 107507, 101198, 94550, 5486, 80539, 20251, 25197, 44971, 75293, 43514, 82973, 30512, 114485, 33503, 17663, 124122, 107461, 52414, 30512, 116718, 20230, 50338, 108323, 78434, 9174, 14711, 111925, 124349, 127284, 125344, 20251, 25197, 44971, 107740, 107507, 101198, 94550, 198, 17039, 126952, 16144, 107740, 29295, 101544, 82973, 20230, 82317, 104369, 107803, 5486, 20251, 25197, 44971, 16144, 107740, 15682, 111098, 107441, 33035, 33121, 107515, 109807, 104983, 5486, 66378, 20230, 61633, 29295, 109215, 26854, 112973, 50211, 117073, 33035, 114731, 32131, 116219, 82973, 115351, 71289, 8107, 56965, 30512, 33035, 100204, 28713, 118095, 112008, 23538, 38641, 118844, 120577, 82973, 115351, 77181, 5486, 110498, 101918, 54926, 17792, 104680, 16144, 43240, 30813, 55031, 17039, 126952, 123727, 20251, 25197, 44971, 32977, 107960, 122202, 54926, 125396, 115991, 33541, 1811, 50211, 9080, 77181, 22, 39177, 55031, 24, 39177, 5486, 80539, 1114, 39177, 55031, 508, 39177, 29295, 58426, 93298, 29220, 16556, 110371, 82973, 115351, 15682, 33035, 114731, 71289, 33035, 48864, 16144, 107740, 30046, 29295, 115079, 105262, 103846, 5486, 107960, 122202, 29295, 103911, 101067, 84389, 33541, 118855, 5486, 8107, 56965, 30512, 33035, 100204, 38144, 16144, 104149, 105677, 64121, 5486, 103621, 64178, 68408, 16073, 116294, 105048, 5486, 105140, 105677, 64121, 5486, 113786, 105677, 64121, 123160, 118095, 112008, 23538, 32977, 42016, 103826 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42634, 108176, 109755, 33121, 115991, 33541, 9174, 9458, 99695, 67075, 16144, 76207, 103, 198, 9458, 46729, 77913, 16144, 127284, 198, 85701, 120577, 28542, 109853, 5486, 114834, 124905, 126832, 24273, 111363, 61633, 28542, 103306, 15017, 231, 105262, 105908, 109215, 38641, 9174, 43514, 26854, 64121, 20230, 19012, 225, 21418, 16144, 104983, 15682, 5486, 77062, 243, 162, 104, 248, 10110, 15024, 116186, 85791, 7705, 118881, 50834, 104309, 16556, 5486, 40198, 111, 16144, 30832, 20230, 27929, 76947, 19012, 225, 50834, 5486, 53610, 26955, 255, 50834, 71289, 119455, 26955, 255, 50834, 16556, 106548, 109415, 30369, 105908, 84851, 28194, 101, 116216, 61689, 9174, 827, 115538, 90962, 25197, 5486, 21980, 248, 33121, 198, 40198, 111, 30512, 52591, 42634, 111672, 94550, 19732, 57106, 103854, 104533, 5486, 106391, 67178, 17905, 5486, 78683, 90962, 25197, 9458, 21980, 248, 33121, 20230, 112294, 16995, 28190, 115991, 33541, 9174, 104398, 107188, 37795, 247, 56965, 29295, 43240, 102334, 62004, 5486, 53610, 17620, 29295, 108208, 64121, 121423, 126172, 47884, 5486, 47260, 25005, 240, 38248, 226, 105194, 97, 104754, 5486, 127032, 16144, 121995, 16144, 77913, 109739, 102802, 102083, 100472, 5486, 39135, 16144, 127919, 16995, 107654, 33014, 21980, 248, 33121, 15682, 5486, 100815, 39135, 16144, 113385, 9174, 58426, 103846, 5486, 71493, 25005, 248, 67075, 30512, 121536, 47884, 123160, 117271, 71289, 5486, 17701, 104611, 26854, 19012, 225, 21418, 29295, 109215, 117282, 103846, 5486, 78683, 90962, 25197, 71289, 21980, 248, 33121, 20230, 112294, 16995, 40198, 111, 16144, 68408, 39850, 37823, 67075, 38641, 9174, 827, 76502, 123307, 76622, 111848, 39135, 16144, 104721, 33208, 198, 40198, 111, 16144, 39135, 16144, 104721, 33208, 15682, 5486, 114834, 37087, 33014, 29295, 102491, 109416, 107441, 91774, 58942, 33541, 9174, 9080, 101426, 111848, 117508, 48915, 101911, 29295, 113385, 16556, 5486, 114834, 16144, 9080, 40265, 28713, 112586, 116690, 54926, 103846, 5486, 108038, 102052, 103181, 105557, 50834, 33121, 107515, 9174, 23226, 106594, 54926, 103846, 102052, 5486, 23042, 71493, 67075, 71493, 111073, 16073, 30512, 108167, 47000, 105784, 32149, 5486, 9080, 123307, 76622, 120837, 40198, 111, 29295, 58666, 106624, 91774, 105262, 45736, 104297, 26854, 40198, 111, 124905, 30297, 104309, 5486, 103283, 108968, 106382, 11883, 32149, 117295, 103359, 105226, 29295, 109215, 26854, 103846, 5486, 34208, 102452, 10110, 40198, 111, 120732, 68408, 39850, 37823, 67075, 38641, 9174, 827, 111279, 77913, 16144, 122561, 29295, 59739, 50834, 126172, 16995, 198, 46729, 77913, 16144, 30358, 64121, 113468, 40198, 111, 20230, 122561, 29295, 108618, 31431, 126172, 16995, 38641, 9174, 9458, 46729, 77913, 30512, 22324, 47884, 104983, 15682, 112160, 18904, 31431, 119448, 16995, 76505, 16144, 88631, 30512, 121536, 102532, 55031, 22324, 47884, 198, 103181, 104699, 103846, 102052, 5486, 111600, 30358, 30512, 17620, 107471, 124545, 105908, 120098, 9174, 66378, 20230, 5486, 46729, 77913, 30512, 127284, 107726, 104533, 50834, 15682, 5486, 40198, 111, 16144, 118146, 114218, 59739, 124324, 104466, 54926, 115789, 107693, 38641, 9174, 53900, 5486, 83812, 225, 110726, 53953, 14558, 16144, 126513, 53229, 103397, 18904, 109095, 16144, 109215, 107407, 103846, 5486, 46729, 77913, 16144, 18655, 121247, 102052, 61633, 29295, 109215, 38641, 9174, 567, 59243, 102452, 30512, 52591, 42634, 111672, 94550, 117657, 104468, 198, 16325, 102491, 126783, 30512, 107691, 30297, 107707, 43240, 47884, 15682, 5486, 85707, 107436, 126783, 30512, 109198, 17701, 54926, 105268, 16995, 114050, 38641, 9174, 120550, 104533, 40198, 111, 119703, 112973, 40265, 115926, 25580, 101983, 103836, 17792, 32977, 43240, 47884, 5486, 105525, 36668, 103306, 15682, 40198, 111, 30512, 58426, 110674, 116446, 33334, 47884, 125231, 32149, 5486, 52591, 42634, 111672, 94550, 116446, 114732, 125231, 32149, 109440, 103836, 24273, 32977, 107991, 123253, 9174, 58426, 28542, 109853, 124283, 102212, 98369, 20230, 105284, 99397, 39926, 64121, 79721, 9174, 14711, 107929, 111, 30512, 52591, 42634, 111672, 94550, 117657, 104468, 51385, 16995, 198, 827, 80019, 40198, 111, 16144, 39209, 109033, 104023, 21, 40198, 111, 16556, 18, 110743, 21909, 23, 110743, 29295, 50021, 75267, 198, 43514, 26854, 64121, 20230, 5486, 21, 40198, 111, 16144, 34208, 102452, 122617, 16144, 40198, 111, 30512, 17039, 25446, 20230, 39209, 109033, 56051, 107803, 5486, 18, 110743, 21909, 23, 110743, 29295, 50021, 75267, 38641, 9174, 40198, 111, 16144, 104091, 104770, 102052, 5486, 102508, 223, 30512, 125364, 103234, 20230, 33655, 100472, 22656, 40198, 111, 19732, 5486, 89154, 112997, 78459, 111999, 108526, 103202, 30512, 125364, 103234, 20230, 33655, 100472, 40198, 111, 103672, 65575, 115991, 5486, 25580, 30046, 29295, 45736, 95001, 5486, 74482, 30046, 30512, 25766, 231, 95001, 103306, 61689, 9174, 827, 107934, 233, 102452, 111363, 37823, 108526, 103202, 106382, 11883, 104023, 21, 40198, 111, 16556, 508, 110743, 25580, 74482, 29295, 50021, 75267, 198, 15120, 24273, 5486, 34208, 102452, 30512, 36827, 103932, 55031, 107918, 103296, 108038, 20230, 106390, 102452, 102416, 37823, 108526, 103202, 54926, 102052, 21, 40089, 16556, 508, 110743, 108680, 32149, 107277, 33541, 9174, 27929, 32977, 27929, 32977, 40198, 111, 102052, 19, 6358, 25580, 123470, 112950, 64121, 107407, 110115, 103359, 15024, 5486, 52591, 42634, 111672, 94550, 15682, 16, 13, 20, 6358, 113314, 16144, 112950, 64121, 67016, 103470, 5486, 105714, 31431, 109913, 58942, 103378, 77181, 37795, 96, 16144, 114834, 110792, 38574, 104364, 29295, 106084, 38144, 114732, 103846, 5486, 17297, 30590, 49792, 30926, 29295, 109215, 38641, 9174, 32977, 43514, 85791, 25827, 107918, 28190, 116771, 16144, 49792, 30926, 16144, 126513, 125821, 51385, 47884, 111587, 64121, 33541, 29295, 5486, 36827, 103932, 71289, 110426, 110792, 104873, 34208, 29295, 18655, 33121, 107515, 9174, 14711, 59243, 102494, 99959, 16073, 102677, 121507, 57942, 95, 32977, 101182, 198, 34208, 102452, 16144, 39850, 37823, 67075, 30512, 108618, 21105, 103, 29295, 33503, 5486, 106390, 102452, 120950, 25132, 108, 116310, 95221, 126694, 30369, 41007, 103306, 5486, 108768, 37823, 16144, 43568, 16995, 20321, 231, 79059, 40198, 111, 30512, 38129, 56051, 34208, 102494, 99959, 16073, 26854, 114834, 20230, 19967, 31431, 104721, 105262, 102677, 41007, 115991, 33541, 9174, 124283, 102212, 98369, 119279, 42891, 116826, 30369, 102052, 5486, 110219, 16144, 40198, 111, 30512, 39209, 109033, 54926, 126036, 42634, 38248, 111, 71634, 16556, 108948, 116826, 33121, 26854, 25132, 108, 116310, 95221, 20230, 106548, 115442, 30369, 105272, 110162, 9174, 124283, 102212, 40198, 111, 33122, 72516, 118969, 16144, 6748, 102052, 116898, 47884, 59739, 32149, 120219, 30926, 27452, 29295, 126362, 110731, 105879, 5486, 121846, 20230, 116216, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 567, 220, 123011, 62004, 5232, 34208, 102452, 105352, 40198, 111, 105352, 53283, 102204, 75694, 30369, 101523, 227, 48634, 125001, 124387, 101182, 198, 101182, 121142, 116414, 32149, 102433, 33503, 21105, 243, 30512, 112391, 107726, 38144, 124089, 34208, 102452, 9174, 58426, 101523, 227, 123457, 53283, 76947, 33334, 76622, 81219, 5486, 34208, 102452, 29295, 115612, 26854, 35894, 56965, 121711, 5486, 46729, 37026, 33014, 16144, 57326, 112718, 107908, 104774, 16144, 95001, 112603, 117084, 124089, 116497, 38641, 9174, 34208, 102452, 107407, 46729, 30512, 105525, 103950, 103306, 107991, 24273, 15682, 106116, 101523, 227, 123457, 108031, 127637, 88356, 114140, 39926, 107691, 16995, 124475, 108044, 107290, 122765, 38144, 72315, 1811, 128001, 128000, 567, 80019, 126952, 16144, 101918, 110176, 48154, 110792, 20251, 25197, 44971, 16144, 82912, 198, 17039, 126952, 15682, 102433, 16144, 45918, 229, 30369, 120018, 124752, 123141, 16556, 106116, 101918, 123727, 120370, 15682, 110498, 65854, 16144, 102395, 109431, 30813, 30512, 104862, 32018, 54926, 83799, 16556, 103130, 33208, 39926, 50834, 79721, 1811, 16325, 72661, 20251, 25197, 44971, 16144, 120370, 15682, 119448, 47884, 104721, 33208, 126020, 5486, 110770, 25287, 16144, 45, 7007, 50, 39276, 126328, 5486, 60358, 120987, 109904, 102867, 31958, 71289, 41190, 80805, 124643, 5486, 124981, 107271, 123167, 121432, 29295, 104874, 78183, 76947, 61689, 1811, 122270, 115847, 103296, 95475, 101721, 126101, 38129, 103082, 104435, 20251, 25197, 44971, 29295, 15120, 34048, 38129, 88367, 110276, 31431, 5486, 20251, 25197, 44971, 16144, 82912, 29295, 110498, 101918, 16144, 102395, 109431, 30813, 20230, 119448, 47884, 117375, 78434, 1811, 110382, 77181, 121453, 126952, 16144, 101918, 110176, 48154, 110792, 20251, 25197, 44971, 16144, 120370, 71289, 58426, 82912, 5486, 80539, 110498, 65854, 29295, 67645, 119775, 20251, 25197, 44971, 30512, 107740, 126693, 57980, 16995, 104865, 30512, 50338, 108323, 78434, 9174, 100437, 53666, 17039, 126952, 9458, 66378, 105047, 16144, 78459, 113821, 30512, 37026, 110362, 107898, 109948, 76622, 6447, 101110, 198, 14711, 83639, 17039, 25287, 45, 7007, 50, 39276, 16144, 20251, 25197, 44971, 120370, 198, 110770, 25287, 16144, 45, 7007, 50, 39276, 17039, 126952, 77181, 5486, 20251, 25197, 44971, 15682, 91774, 28713, 112661, 56965, 110901, 5486, 37087, 61994, 108010, 30297, 76864, 19732, 112391, 124545, 120987, 109904, 113404, 117084, 61689, 1811, 102057, 99, 118372, 16144, 56965, 30177, 102867, 31958, 29295, 102923, 84389, 5486, 41190, 80805, 124643, 29295, 43167, 103664, 84389, 5486, 121432, 9554, 115717, 79721, 118855, 5486, 104840, 53610, 102924, 103605, 10110, 124981, 107271, 123167, 7705, 29295, 99741, 104874, 116216, 108086, 5486, 101544, 82973, 16144, 127284, 72661, 102395, 109431, 20230, 103188, 48154, 72342, 33541, 1811, 122270, 5486, 95475, 101721, 39177, 72661, 15120, 34048, 16144, 20251, 25197, 44971, 29295, 38129, 88367, 121711, 79721, 118844, 120577, 20251, 25197, 44971, 15682, 5486, 101918, 110176, 16144, 103698, 9039, 18476, 101918, 111344, 108385, 112586, 82912, 127145, 9174, 14711, 100844, 100, 25287, 45, 7007, 32, 39276, 16144, 20251, 25197, 44971, 120370, 198, 15120, 24273, 5486, 110298, 25287, 16144, 45, 7007, 32, 39276, 77181, 121453, 25287, 107118, 108901, 109020, 120370, 115991, 33541, 29295, 108048, 72661, 102924, 103605, 15682, 104840, 53610, 121432, 114308, 16556, 5486, 114392, 26854, 102395, 109431, 30813, 115991, 33541, 113637, 114971, 16144, 20251, 25197, 44971, 32977, 121453, 25287, 19732, 42016, 103826, 20230, 101918, 110176, 16144, 103698, 9039, 18476, 101918, 111344, 108385, 112586, 86867, 116216, 61689, 118855, 5486, 20251, 25197, 44971, 15682, 106390, 29430, 29295, 17, 59739, 5486, 123737, 114363, 11883, 29295, 16, 118821, 103214, 64121, 114146, 16556, 5486, 806, 18476, 101918, 103378, 15682, 118347, 61398, 16144, 72368, 40862, 17905, 5486, 106390, 29430, 29295, 17, 59739, 16556, 123737, 114363, 11883, 20251, 25197, 44971, 115991, 107515, 9174, 14711, 108613, 25197, 44971, 103296, 16144, 124349, 25, 106030, 84477, 82912, 117758, 39880, 122086, 22398, 198, 17039, 126952, 121960, 20251, 25197, 44971, 103296, 16144, 124349, 15682, 5486, 102647, 102189, 103605, 105350, 113468, 119448, 47884, 108901, 26854, 31431, 33541, 1811, 101778, 119194, 17039, 126952, 77181, 59614, 101860, 845, 110176, 104817, 13153, 16556, 5486, 103605, 105350, 9039, 15682, 9413, 18, 105350, 104856, 76947, 61689, 109807, 103846, 5486, 20251, 25197, 44971, 15682, 59614, 101860, 103698, 9039, 18476, 101918, 16144, 111344, 108385, 112586, 57903, 5486, 101918, 110176, 16144, 79982, 20230, 60358, 16995, 103605, 105350, 126328, 39880, 122086, 22398, 29295, 119237, 38641, 1811, 101918, 110176, 107809, 106442, 20230, 103605, 105350, 107407, 126513, 105268, 104055, 105564, 47884, 109215, 115991, 33541, 29295, 5486, 115364, 127284, 124349, 71289, 20251, 25197, 44971, 107740, 16144, 118430, 27479, 20230, 114146, 38144, 103605, 105350, 30512, 102647, 104369, 19732, 105755, 102395, 109431, 26854, 104412, 29295, 126407, 62004, 33541, 9174, 567, 80019, 126952, 20251, 25197, 44971, 16144, 107740, 93298, 29220, 19732, 35894, 119188, 82973, 115351, 198, 17039, 126952, 16144, 107740, 30046, 29295, 15120, 87217, 103892, 30512, 101128, 102, 105823, 30369, 112973, 5486, 20251, 25197, 44971, 107740, 16144, 107507, 101198, 94550, 38641, 1811, 101544, 124349, 16144, 127284, 77181, 66378, 20230, 58426, 107693, 34171, 29295, 115079, 78434, 1811, 108968, 16325, 16556, 82533, 115464, 100909, 103470, 120018, 16556, 127284, 54926, 17039, 126952, 32943, 113245, 20251, 25197, 44971, 15682, 5486, 107740, 54926, 82973, 115351, 71289, 110498, 101918, 127749, 113468, 15682, 107960, 122202, 29295, 103911, 101067, 84389, 33541, 118844, 15682, 104412, 16144, 102395, 109431, 34171, 20230, 119448, 47884, 117375, 30512, 82317, 109416, 78434, 1811, 17039, 126952, 20251, 25197, 44971, 16144, 107740, 93298, 29220, 19732, 35894, 119188, 82973, 115351, 30512, 113954, 15024, 5486, 32335, 109431, 26854, 107740, 107507, 101198, 94550, 104088, 59739, 105784, 118733, 5486, 71634, 108744, 52591, 102540, 26854, 17039, 126952, 120523, 30512, 126407, 104004, 105908, 88367, 121711, 33541, 123601, 46028, 77181, 5486, 66378, 20230, 101544, 124349, 127284, 19732, 106649, 124349, 127284, 16144, 104983, 16144, 20251, 25197, 44971, 107740, 107507, 101198, 94550, 5486, 80539, 20251, 25197, 44971, 75293, 43514, 82973, 30512, 114485, 33503, 17663, 124122, 107461, 52414, 30512, 116718, 20230, 50338, 108323, 78434, 9174, 14711, 111925, 124349, 127284, 125344, 20251, 25197, 44971, 107740, 107507, 101198, 94550, 198, 17039, 126952, 16144, 107740, 29295, 101544, 82973, 20230, 82317, 104369, 107803, 5486, 20251, 25197, 44971, 16144, 107740, 15682, 111098, 107441, 33035, 33121, 107515, 109807, 104983, 5486, 66378, 20230, 61633, 29295, 109215, 26854, 112973, 50211, 117073, 33035, 114731, 32131, 116219, 82973, 115351, 71289, 8107, 56965, 30512, 33035, 100204, 28713, 118095, 112008, 23538, 38641, 118844, 120577, 82973, 115351, 77181, 5486, 110498, 101918, 54926, 17792, 104680, 16144, 43240, 30813, 55031, 17039, 126952, 123727, 20251, 25197, 44971, 32977, 107960, 122202, 54926, 125396, 115991, 33541, 1811, 50211, 9080, 77181, 22, 39177, 55031, 24, 39177, 5486, 80539, 1114, 39177, 55031, 508, 39177, 29295, 58426, 93298, 29220, 16556, 110371, 82973, 115351, 15682, 33035, 114731, 71289, 33035, 48864, 16144, 107740, 30046, 29295, 115079, 105262, 103846, 5486, 107960, 122202, 29295, 103911, 101067, 84389, 33541, 118855, 5486, 8107, 56965, 30512, 33035, 100204, 38144, 16144, 104149, 105677, 64121, 5486, 103621, 64178, 68408, 16073, 116294, 105048, 5486, 105140, 105677, 64121, 5486, 113786, 105677, 64121, 123160, 118095, 112008, 23538, 32977, 42016, 103826 ]
[ 20230, 107960, 122202, 29295, 106266, 102800, 19732, 103911, 101067, 84389, 33541, 1811, 101544, 124349, 127284, 16144, 104983, 110371, 105933, 82973, 115351, 77181, 88367, 26854, 48249, 31431, 20834, 102404, 103449, 55031, 16, 82973, 113314, 106613, 103188, 56051, 30591, 19732, 5486, 101182, 16995, 15682, 28037, 100815, 103449, 103296, 108618, 31431, 16, 82973, 112772, 20251, 25197, 44971, 30512, 107740, 54926, 105908, 22649, 101067, 9554, 38641, 118844, 15682, 121453, 126952, 123727, 20251, 25197, 44971, 29295, 125261, 9554, 35894, 119188, 107507, 101198, 94550, 109860, 38641, 9174, 14711, 105863, 255, 124349, 127284, 125344, 20251, 25197, 44971, 107740, 107507, 101198, 94550, 198, 17039, 126952, 113245, 106649, 124349, 127284, 77181, 5486, 109215, 105110, 81219, 110498, 101918, 25580, 71289, 104989, 101918, 123090, 103449, 16144, 20251, 25197, 44971, 30512, 107740, 54926, 106592, 84851, 28194, 101, 78434, 119520, 5486, 106649, 124349, 127284, 72661, 71289, 104004, 30512, 50928, 101860, 17039, 126952, 32943, 16556, 20251, 25197, 44971, 30512, 107740, 54926, 109215, 107407, 126513, 5486, 20834, 102404, 74245, 74482, 71289, 28037, 100815, 74245, 25580, 29295, 32335, 109431, 38641, 118844, 15682, 43240, 119064, 110498, 65854, 125334, 102404, 9458, 28037, 100815, 39177, 102052, 103605, 105350, 125030, 67645, 115464, 103846, 5486, 20251, 25197, 44971, 16144, 107960, 122202, 29295, 125261, 9554, 83747, 103470, 109020, 55031, 38641, 118855, 5486, 50211, 117073, 33035, 114731, 32131, 116219, 82973, 115351, 71289, 105677, 117073, 114181, 101426, 32131, 116219, 82973, 115351, 15682, 66378, 20230, 107960, 122202, 29295, 103911, 101067, 107001, 103846, 115847, 120577, 82973, 115351, 16144, 107740, 15682, 110993, 48634, 111098, 76622, 104533, 57980, 117201, 109954, 9174, 14711, 108613, 25197, 44971, 75293, 43514, 82973, 30512, 114485, 33503, 17663, 107461, 52414, 198, 17039, 126952, 16144, 20251, 25197, 44971, 75293, 43514, 82973, 30512, 114485, 33503, 17663, 103846, 112028, 118821, 107461, 52414, 15682, 5486, 30926, 112772, 110498, 101918, 54926, 101918, 110176, 16144, 20251, 25197, 44971, 16144, 82912, 30512, 102178, 111665, 15024, 5486, 103856, 62004, 120650, 91875, 54926, 100909, 38641, 1811, 118789, 9554, 102052, 5486, 28037, 100815, 71289, 20834, 102404, 16144, 107507, 101198, 94550, 104088, 82420, 33503, 76947, 5486, 30926, 112772, 20251, 25197, 44971, 16144, 82912, 30512, 114140, 15024, 5486, 109215, 20230, 106608, 100204, 38144, 103856, 62004, 20230, 127284, 54926, 105908, 32018, 62004, 102204, 33541, 118844, 112212, 5486, 20251, 25197, 44971, 29295, 107960, 122202, 54926, 112772, 107740, 108608, 125396, 29295, 45736, 109709, 33541, 9174, 53900, 121453, 126952, 16144, 101918, 110176, 71289, 104091, 104770, 113468, 32977, 20251, 25197, 44971, 16144, 107960, 122202, 77913, 40862, 15682, 104721, 116547, 33541, 1811, 27452, 116285, 5486, 101778, 119194, 9458, 58911, 107873, 17039, 126952, 16144, 13177, 16144, 108422, 64121, 59712, 104328, 107277, 59712, 22957, 36785, 17129, 10646, 104309, 77181, 5486, 66378, 23187, 16144, 101918, 110176, 15682, 127177, 101918, 110176, 20230, 57106, 115694, 107960, 122202, 15024, 126172, 16995, 19732, 116216, 61689, 109807, 103846, 106116, 105933, 108134, 30512, 30926, 112772, 102178, 111665, 15024, 108048, 30512, 119870, 17129, 107800, 17905, 16556, 5486, 20251, 25197, 44971, 29295, 35894, 47884, 107507, 101198, 94550, 30512, 103911, 101067, 39926, 103856, 62004, 20230, 75293, 101513, 54926, 102083, 100472, 49792, 101908, 29295, 19361, 126120, 38641, 9174, 122270, 5486, 110498, 101918, 54926, 82973, 115351, 113468, 32977, 20251, 25197, 44971, 16144, 107960, 122202, 77913, 40862, 15682, 104721, 116547, 33541, 1811, 50211, 117073, 33035, 114731, 82973, 71289, 105677, 117073, 11881, 120, 56965, 104309, 5486, 108936, 112535, 17792, 104680, 29295, 127284, 54926, 82973, 115351, 15682, 5486, 112672, 106272, 20251, 25197, 44971, 16144, 107960, 122202, 29295, 103911, 101067, 84389, 33541, 1811, 110924, 16556, 108048, 120577, 82973, 115351, 30512, 111098, 76622, 108048, 116749, 16144, 82973, 115351, 20230, 20251, 25197, 44971, 30512, 107740, 54926, 102677, 41007, 32977, 57903, 33541, 9174, 85701, 120577, 107461, 52414, 30512, 76706, 11883, 54926, 118733, 121453, 126952, 120523, 30512, 105755, 102395, 109431, 20230, 103188, 48154, 17663, 105908, 125545, 115397, 27479, 107960, 122202, 30512, 33014, 111186, 39926, 114732, 19732, 108048, 29295, 71634, 108744, 20230, 112391, 102204, 5486, 33671, 18904, 23897, 104989, 16144, 17039, 126952, 107740, 20230, 41920, 16144, 102780, 30512, 119870, 104004, 32149, 110241, 33121, 107515, 119520, 5486, 30926, 123628, 107253, 104874, 19732, 53283, 109375, 114792, 59739, 118733, 106116, 105933, 127749, 30512, 111098, 76622, 5486, 102395, 109431, 26854, 104412, 30512, 126407, 104004, 105908, 125545, 1811, 17039, 126952, 32943, 113245, 20251, 25197, 44971, 107740, 109853, 16144, 53283, 109375, 15682, 5486, 71634, 108744, 52591, 102540, 26854, 104412, 16144, 124122, 27384, 102769, 26854, 15120, 108476, 19732, 78244, 105262, 123253, 9174, 567, 80019, 126952, 16144, 20251, 25197, 44971, 16144, 66378, 17599, 112, 19732, 33655, 16995, 24273, 198, 17039, 126952, 16144, 110498, 65854, 29295, 32335, 32977, 107740, 54926, 120370, 112028, 59739, 29295, 20251, 25197, 44971, 38641, 1811, 17039, 126952, 16144, 20251, 25197, 44971, 15682, 106116, 121432, 34171, 19732, 113404, 121960, 5486, 110498, 65854, 16144, 43240, 103826, 26854, 78683, 106240, 20230, 106608, 105262, 104466, 113727, 124195, 61689, 1811, 43240, 121432, 20251, 25197, 44971, 5486, 71208, 58850, 55999, 11883, 20251, 25197, 44971, 5486, 123737, 114363, 11883, 31809, 102924, 32648, 5486, 80539, 66953, 104612, 52591, 37823, 84477, 25197, 44971, 102083, 100472, 5486, 108901, 109020, 104091, 104770, 16144, 20251, 25197, 44971, 29295, 86867, 84389, 108048, 108422, 33121, 29295, 66378, 108901, 26854, 60632, 102924, 34171, 19732, 121432, 30512, 104908, 78434, 118844, 120577, 66378, 17599, 112, 30512, 113954, 15024, 5486, 109431, 102769, 20230, 76706, 11883, 54926, 118733, 5486, 120523, 16144, 102395, 109431, 30813, 30512, 70141, 17905, 124545, 105908, 125545, 113637, 46028, 77181, 108048, 108422, 33121, 16144, 20251, 25197, 44971, 16144, 66378, 17599, 112, 19732, 109431, 102769, 26854, 76706, 11883, 25333, 30512, 50520, 111, 106624, 50338, 108323, 78434, 118855, 5486, 66378, 20230, 111006, 16144, 16937, 111764, 26854, 24273, 111363, 55487, 101557, 106, 103306, 102332, 76622, 109115, 66953, 104612, 52591, 37823, 84477, 25197, 44971, 109853, 32977, 109835, 33121, 33541, 9174, 14711, 110834, 121432, 20251, 25197, 44971, 16144, 66378, 17599, 112, 19732, 58426, 76706, 11883, 25333, 198, 43240, 121432, 20251, 25197, 44971, 15682, 106116, 13372, 16144, 121640, 5486, 43240, 119064, 102924, 60632, 26854, 121432, 30512, 104874, 107290, 61689, 1811, 124981, 107271, 123167, 121432, 5486, 90962, 71634, 39850, 78983, 117271, 5486, 102832, 91482, 113335, 78349, 39880, 5486, 46034, 17663, 31431, 104309, 5486, 118969, 75694, 17129, 26854, 78683, 106240, 113115, 106608, 54926, 124122, 121432, 29295, 112624, 107121, 116216, 61689, 109807, 119515, 105469, 26854, 121432, 34171, 55031, 121453, 126952, 123727, 127177, 20251, 25197, 44971, 126036, 108285, 16995, 118347, 61398, 30512, 105184, 33563, 127145, 118844, 120577, 43240, 121432, 20251, 25197, 44971, 15682, 5486, 101918, 120094, 45829, 113245, 107740, 30046, 71289, 5486, 111528, 113261, 116581, 114792, 59739, 122013, 122603, 106036, 95, 30046, 104309, 5486, 115612, 26854, 55487, 101557, 106, 30512, 109215, 117408, 107740, 112919, 113009, 66378, 20230, 113404, 116216, 61689, 1811, 43240, 121432, 20251, 25197, 44971, 16144, 48706, 15682, 121453, 126952, 16144, 110498, 65854, 29295, 102395, 109431, 20230, 104412, 30512, 106307, 76622, 110071, 104466, 54926, 124122, 107693, 26854, 15120, 108476, 38641, 9174, 14711, 109078, 58850, 55999, 11883, 20251, 25197, 44971, 19732, 123737, 114363, 11883, 31809, 102924, 32648, 16144, 121953, 198, 17039, 126952, 102052, 5486, 71208, 58850, 55999, 11883, 20251, 25197, 44971, 19732, 123737, 114363, 11883, 31809, 102924, 32648, 16144, 17, 104091, 104770, 16144, 20251, 25197, 44971, 29295, 102332, 22324, 116216, 61689, 1811, 71208, 58850, 55999, 11883, 20251, 25197, 44971, 15682, 5486, 108936, 109904, 53610, 108914, 20251, 25197, 44971, 103306, 112832, 72661, 107740, 54926, 105908, 125545, 1811, 123737, 114363, 11883, 31809, 102924, 32648, 15682, 5486, 123737, 116771, 29295, 107740, 54926, 105908, 103082, 5486, 108936, 112535, 80195, 76947, 107740, 78434, 1811, 123737, 114363, 11883, 31809, 102924, 32648, 16144, 48706, 15682, 121453, 126952, 123727, 20251, 25197, 44971, 16144, 107960, 122202, 30512, 100783, 102, 34208, 15024, 5486, 20251, 25197, 44971, 16144, 107740, 126120, 96455, 30512, 70141, 17905, 124545, 103846, 112028, 118821, 50338, 104662, 105226, 104856, 76947, 61689, 1811, 123737, 16144, 107740, 30046, 15682, 5486, 109215, 20230, 106608, 100204, 38144, 115847, 120577, 20251, 25197, 44971, 30512, 109431, 102769, 20230, 33655, 16995, 17620, 105784, 105908, 32018, 62004, 102204, 33541, 9174, 14711, 109228, 104612, 52591, 37823, 84477, 25197, 44971, 25, 124381, 33014, 16144, 16937, 111764, 26854, 24273, 111363, 55487, 101557, 106, 198, 17039, 126952, 77181, 5486, 111006, 16144, 16937, 111764, 26854, 24273, 111363, 55487, 101557, 106, 103306, 5486, 66953, 104612, 52591, 37823, 84477, 25197, 44971, 29295, 102332, 22324, 116216, 61689, 118844, 120577, 20251, 25197, 44971, 15682, 5486, 101918, 120094, 121240, 107740, 30046, 71289, 45736, 106036, 95, 30046, 104309, 5486, 115612, 26854, 55487, 101557, 106, 30512, 109215, 117408, 17792, 104680, 20230, 60632, 102924, 34171, 30512, 104908, 78434, 1811, 46034, 17663, 31431, 71289, 108285, 104680, 114267, 118347, 61398, 5486, 108008, 115882, 104309, 5486, 105509, 34171, 19732, 60632, 102924, 34171, 30512, 30358, 103984, 56051, 113404, 29295, 26854, 116216, 61689, 1811, 122270, 121453, 126952, 16144, 66953, 104612, 52591, 37823, 84477, 25197, 44971, 15682, 90962, 71634, 39850, 78983, 117271, 104309, 5486, 118969, 75694, 17129, 26854, 78683, 106240, 113115, 106608, 56051, 121432, 30512, 104908, 78434, 118844, 120577, 120370, 112212, 121453, 126952, 15682, 30591, 33503, 106644, 30369, 110498, 65854, 29295, 51385, 64209, 39926, 107740, 108608, 118522, 16144, 127284, 46034, 38574, 103195, 106592, 33563, 110322, 78434, 9174, 567, 80019, 126952, 16144, 20251, 25197, 44971, 109606, 30512, 50338, 104662, 6447, 110498, 101918, 123628, 107253, 104874, 198, 17039, 126952, 113245, 101544, 124349, 120523, 77181, 5486, 102395, 109431, 30813, 30512, 105184, 33563, 54926, 113009, 20251, 25197, 44971, 123863, 16995, 47884, 59739, 116421, 61633, 28542, 115991, 33541, 1811, 66378, 20230, 5486, 110498, 101918, 123628, 20251, 25197, 44971, 107740, 5486, 53610, 17620, 111983, 110698, 16144, 107507, 101198, 94550, 5486, 80539, 120523, 37087, 33014, 30512, 33035, 100204, 28713, 109431, 102769, 26854, 20251, 25197, 44971, 103359, 105226, 15682, 5486, 71634, 108744, 52591, 102540, 26854, 120523, 30512, 103350, 102321, 54926, 113009, 107693, 38641, 118844, 120577, 30926, 105904, 30512, 109431, 102769, 20230, 82420, 55723, 15024, 5486, 103350, 23039, 54926, 118733, 5486, 101544, 82973, 16144, 17039, 126952, 120523, 72661, 102395, 109431, 30813, 30512, 109205, 69978, 15024, 5486, 33014, 104873, 30512, 103553, 102, 17663, 100909, 103470, 113173, 30590, 20230, 28037, 100815, 54926, 105908, 125545, 113637, 46028, 77181, 115847, 120577, 120098, 109853, 50520, 111, 106624, 122984, 15024, 121453, 126952, 113245, 102395, 109431, 26854, 120523, 30512, 103350, 102321, 54926, 124122, 118789, 109904, 103359, 105226, 30512, 29172, 81742, 78434, 9174, 14711, 107023, 245, 101918, 123628, 20251, 25197, 44971, 107740, 198, 17039, 126952, 20230, 110498, 30369, 112772, 20251, 25197, 44971, 30512, 107740, 54926, 109335, 5486, 101544, 82973, 16144, 120523, 72661, 102395, 109431, 30813, 30512, 109205, 69978, 54926, 124122, 107693, 26854, 106826, 103830, 38641, 1811, 20834, 102404, 16144, 112772, 20251, 25197, 44971, 30512, 120824, 104028, 118733, 121453, 126952, 32943, 113245, 20251, 25197, 44971, 107740, 16144, 109215, 34171, 30512, 114485, 124949, 5486, 101544, 124349, 120523, 16144, 122756, 21990, 100204, 30369, 125396, 16144, 101182, 16937, 102924, 71289, 16937, 102395, 99750, 30512, 111098, 105784, 105908, 125545, 118855, 5486, 103449, 32943, 102052, 117032, 5486, 43240, 121432, 20251, 25197, 44971, 71289, 111006, 16144, 16937, 111764, 26854, 17792, 70141, 76622, 16144, 120370, 32977, 47406, 104874, 110731, 103846, 5486, 115612, 26854, 78683, 106240, 114792, 59739, 120523, 30046, 125030, 114598, 5486, 110498, 101918, 112772, 20251, 25197, 44971, 30512, 107740, 54926, 106592, 84851, 28194, 101, 78434, 9174, 14711, 107732, 17620, 111983, 110698, 16144, 109431, 102769, 26854, 107507, 101198, 94550, 198, 101544, 82973, 16144, 17039, 126952, 120523, 16325, 102052, 5486, 109431, 102769, 26854, 53610, 17620, 111983, 110698, 29295, 109215, 38641, 119520, 106116, 107507, 101198, 94550, 15682, 107693, 16556, 5486, 109431, 102769, 20230, 40452, 54926, 118733, 20251, 25197, 44971, 107740, 16144, 109215, 34171, 30512, 126128, 44416, 54926, 105908, 88367, 38641, 1811, 27452, 116285, 121453, 126952, 16144, 110498, 101918, 74245, 112772, 122333, 16144, 53610, 17620, 30512, 99046, 224, 18655, 112990, 5486, 120523, 126867, 118430, 118095, 20230, 20251, 25197, 44971, 30512, 120824, 104028, 100909, 115717, 32149, 101832, 107515, 109900, 105755, 15682, 5486, 83747, 33857, 101860, 59739, 23187, 23538, 112535, 53610, 17620, 30512, 111983, 110698, 54926, 106592, 33334, 53508, 100, 62004, 78434, 113637, 39880, 107420, 113335, 112212, 5486, 110645, 53610, 111571, 103397, 30512, 103911, 103181, 21105, 103, 29295, 33503, 32977, 5486, 20251, 25197, 44971, 16144, 107740, 118430, 27479, 30512, 109431, 102769, 20230, 47260, 52414, 42634, 64178, 125545, 9174, 14711, 125781, 109431, 26854, 17039, 126952, 120523, 16144, 124122, 20251, 25197, 44971, 103359, 105226, 198, 17039, 126952, 120523, 16144, 102395, 109431, 30813, 30512, 105184, 33563, 54926, 124122, 103359, 105226, 15682, 43240, 58699, 238, 20230, 78183, 115926, 33541, 29295, 5486, 110382, 77181, 66378, 20230, 20251, 25197, 44971, 20230, 118220, 28542, 30512, 40265, 38144, 106956, 106046, 61689, 1811, 110498, 101918, 123628, 20251, 25197, 44971, 107740, 19732, 109431, 102769, 26854, 53610, 17620, 111983, 110698, 15682, 25580, 43032, 16144, 121640, 107693, 119627, 108048, 103378, 77181, 124897, 1811, 17039, 126952, 123727, 20251, 25197, 44971, 15682, 5486, 107960, 122202, 39177, 71289, 118095, 112008, 23538, 102052, 107740, 29295, 110482, 111108, 108176, 105908, 57903, 33541, 1811, 102131, 16995, 100472, 39177, 15682, 112160, 27479, 113173, 30590, 20230, 28037, 100815, 39926, 55031, 20251, 25197, 44971, 30512, 107740, 54926, 104309, 5486, 115289, 122279, 26854, 103359, 105226, 30512, 78698, 105262, 115789, 27384, 102769 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 107960, 122202, 29295, 106266, 102800, 19732, 103911, 101067, 84389, 33541, 1811, 101544, 124349, 127284, 16144, 104983, 110371, 105933, 82973, 115351, 77181, 88367, 26854, 48249, 31431, 20834, 102404, 103449, 55031, 16, 82973, 113314, 106613, 103188, 56051, 30591, 19732, 5486, 101182, 16995, 15682, 28037, 100815, 103449, 103296, 108618, 31431, 16, 82973, 112772, 20251, 25197, 44971, 30512, 107740, 54926, 105908, 22649, 101067, 9554, 38641, 118844, 15682, 121453, 126952, 123727, 20251, 25197, 44971, 29295, 125261, 9554, 35894, 119188, 107507, 101198, 94550, 109860, 38641, 9174, 14711, 105863, 255, 124349, 127284, 125344, 20251, 25197, 44971, 107740, 107507, 101198, 94550, 198, 17039, 126952, 113245, 106649, 124349, 127284, 77181, 5486, 109215, 105110, 81219, 110498, 101918, 25580, 71289, 104989, 101918, 123090, 103449, 16144, 20251, 25197, 44971, 30512, 107740, 54926, 106592, 84851, 28194, 101, 78434, 119520, 5486, 106649, 124349, 127284, 72661, 71289, 104004, 30512, 50928, 101860, 17039, 126952, 32943, 16556, 20251, 25197, 44971, 30512, 107740, 54926, 109215, 107407, 126513, 5486, 20834, 102404, 74245, 74482, 71289, 28037, 100815, 74245, 25580, 29295, 32335, 109431, 38641, 118844, 15682, 43240, 119064, 110498, 65854, 125334, 102404, 9458, 28037, 100815, 39177, 102052, 103605, 105350, 125030, 67645, 115464, 103846, 5486, 20251, 25197, 44971, 16144, 107960, 122202, 29295, 125261, 9554, 83747, 103470, 109020, 55031, 38641, 118855, 5486, 50211, 117073, 33035, 114731, 32131, 116219, 82973, 115351, 71289, 105677, 117073, 114181, 101426, 32131, 116219, 82973, 115351, 15682, 66378, 20230, 107960, 122202, 29295, 103911, 101067, 107001, 103846, 115847, 120577, 82973, 115351, 16144, 107740, 15682, 110993, 48634, 111098, 76622, 104533, 57980, 117201, 109954, 9174, 14711, 108613, 25197, 44971, 75293, 43514, 82973, 30512, 114485, 33503, 17663, 107461, 52414, 198, 17039, 126952, 16144, 20251, 25197, 44971, 75293, 43514, 82973, 30512, 114485, 33503, 17663, 103846, 112028, 118821, 107461, 52414, 15682, 5486, 30926, 112772, 110498, 101918, 54926, 101918, 110176, 16144, 20251, 25197, 44971, 16144, 82912, 30512, 102178, 111665, 15024, 5486, 103856, 62004, 120650, 91875, 54926, 100909, 38641, 1811, 118789, 9554, 102052, 5486, 28037, 100815, 71289, 20834, 102404, 16144, 107507, 101198, 94550, 104088, 82420, 33503, 76947, 5486, 30926, 112772, 20251, 25197, 44971, 16144, 82912, 30512, 114140, 15024, 5486, 109215, 20230, 106608, 100204, 38144, 103856, 62004, 20230, 127284, 54926, 105908, 32018, 62004, 102204, 33541, 118844, 112212, 5486, 20251, 25197, 44971, 29295, 107960, 122202, 54926, 112772, 107740, 108608, 125396, 29295, 45736, 109709, 33541, 9174, 53900, 121453, 126952, 16144, 101918, 110176, 71289, 104091, 104770, 113468, 32977, 20251, 25197, 44971, 16144, 107960, 122202, 77913, 40862, 15682, 104721, 116547, 33541, 1811, 27452, 116285, 5486, 101778, 119194, 9458, 58911, 107873, 17039, 126952, 16144, 13177, 16144, 108422, 64121, 59712, 104328, 107277, 59712, 22957, 36785, 17129, 10646, 104309, 77181, 5486, 66378, 23187, 16144, 101918, 110176, 15682, 127177, 101918, 110176, 20230, 57106, 115694, 107960, 122202, 15024, 126172, 16995, 19732, 116216, 61689, 109807, 103846, 106116, 105933, 108134, 30512, 30926, 112772, 102178, 111665, 15024, 108048, 30512, 119870, 17129, 107800, 17905, 16556, 5486, 20251, 25197, 44971, 29295, 35894, 47884, 107507, 101198, 94550, 30512, 103911, 101067, 39926, 103856, 62004, 20230, 75293, 101513, 54926, 102083, 100472, 49792, 101908, 29295, 19361, 126120, 38641, 9174, 122270, 5486, 110498, 101918, 54926, 82973, 115351, 113468, 32977, 20251, 25197, 44971, 16144, 107960, 122202, 77913, 40862, 15682, 104721, 116547, 33541, 1811, 50211, 117073, 33035, 114731, 82973, 71289, 105677, 117073, 11881, 120, 56965, 104309, 5486, 108936, 112535, 17792, 104680, 29295, 127284, 54926, 82973, 115351, 15682, 5486, 112672, 106272, 20251, 25197, 44971, 16144, 107960, 122202, 29295, 103911, 101067, 84389, 33541, 1811, 110924, 16556, 108048, 120577, 82973, 115351, 30512, 111098, 76622, 108048, 116749, 16144, 82973, 115351, 20230, 20251, 25197, 44971, 30512, 107740, 54926, 102677, 41007, 32977, 57903, 33541, 9174, 85701, 120577, 107461, 52414, 30512, 76706, 11883, 54926, 118733, 121453, 126952, 120523, 30512, 105755, 102395, 109431, 20230, 103188, 48154, 17663, 105908, 125545, 115397, 27479, 107960, 122202, 30512, 33014, 111186, 39926, 114732, 19732, 108048, 29295, 71634, 108744, 20230, 112391, 102204, 5486, 33671, 18904, 23897, 104989, 16144, 17039, 126952, 107740, 20230, 41920, 16144, 102780, 30512, 119870, 104004, 32149, 110241, 33121, 107515, 119520, 5486, 30926, 123628, 107253, 104874, 19732, 53283, 109375, 114792, 59739, 118733, 106116, 105933, 127749, 30512, 111098, 76622, 5486, 102395, 109431, 26854, 104412, 30512, 126407, 104004, 105908, 125545, 1811, 17039, 126952, 32943, 113245, 20251, 25197, 44971, 107740, 109853, 16144, 53283, 109375, 15682, 5486, 71634, 108744, 52591, 102540, 26854, 104412, 16144, 124122, 27384, 102769, 26854, 15120, 108476, 19732, 78244, 105262, 123253, 9174, 567, 80019, 126952, 16144, 20251, 25197, 44971, 16144, 66378, 17599, 112, 19732, 33655, 16995, 24273, 198, 17039, 126952, 16144, 110498, 65854, 29295, 32335, 32977, 107740, 54926, 120370, 112028, 59739, 29295, 20251, 25197, 44971, 38641, 1811, 17039, 126952, 16144, 20251, 25197, 44971, 15682, 106116, 121432, 34171, 19732, 113404, 121960, 5486, 110498, 65854, 16144, 43240, 103826, 26854, 78683, 106240, 20230, 106608, 105262, 104466, 113727, 124195, 61689, 1811, 43240, 121432, 20251, 25197, 44971, 5486, 71208, 58850, 55999, 11883, 20251, 25197, 44971, 5486, 123737, 114363, 11883, 31809, 102924, 32648, 5486, 80539, 66953, 104612, 52591, 37823, 84477, 25197, 44971, 102083, 100472, 5486, 108901, 109020, 104091, 104770, 16144, 20251, 25197, 44971, 29295, 86867, 84389, 108048, 108422, 33121, 29295, 66378, 108901, 26854, 60632, 102924, 34171, 19732, 121432, 30512, 104908, 78434, 118844, 120577, 66378, 17599, 112, 30512, 113954, 15024, 5486, 109431, 102769, 20230, 76706, 11883, 54926, 118733, 5486, 120523, 16144, 102395, 109431, 30813, 30512, 70141, 17905, 124545, 105908, 125545, 113637, 46028, 77181, 108048, 108422, 33121, 16144, 20251, 25197, 44971, 16144, 66378, 17599, 112, 19732, 109431, 102769, 26854, 76706, 11883, 25333, 30512, 50520, 111, 106624, 50338, 108323, 78434, 118855, 5486, 66378, 20230, 111006, 16144, 16937, 111764, 26854, 24273, 111363, 55487, 101557, 106, 103306, 102332, 76622, 109115, 66953, 104612, 52591, 37823, 84477, 25197, 44971, 109853, 32977, 109835, 33121, 33541, 9174, 14711, 110834, 121432, 20251, 25197, 44971, 16144, 66378, 17599, 112, 19732, 58426, 76706, 11883, 25333, 198, 43240, 121432, 20251, 25197, 44971, 15682, 106116, 13372, 16144, 121640, 5486, 43240, 119064, 102924, 60632, 26854, 121432, 30512, 104874, 107290, 61689, 1811, 124981, 107271, 123167, 121432, 5486, 90962, 71634, 39850, 78983, 117271, 5486, 102832, 91482, 113335, 78349, 39880, 5486, 46034, 17663, 31431, 104309, 5486, 118969, 75694, 17129, 26854, 78683, 106240, 113115, 106608, 54926, 124122, 121432, 29295, 112624, 107121, 116216, 61689, 109807, 119515, 105469, 26854, 121432, 34171, 55031, 121453, 126952, 123727, 127177, 20251, 25197, 44971, 126036, 108285, 16995, 118347, 61398, 30512, 105184, 33563, 127145, 118844, 120577, 43240, 121432, 20251, 25197, 44971, 15682, 5486, 101918, 120094, 45829, 113245, 107740, 30046, 71289, 5486, 111528, 113261, 116581, 114792, 59739, 122013, 122603, 106036, 95, 30046, 104309, 5486, 115612, 26854, 55487, 101557, 106, 30512, 109215, 117408, 107740, 112919, 113009, 66378, 20230, 113404, 116216, 61689, 1811, 43240, 121432, 20251, 25197, 44971, 16144, 48706, 15682, 121453, 126952, 16144, 110498, 65854, 29295, 102395, 109431, 20230, 104412, 30512, 106307, 76622, 110071, 104466, 54926, 124122, 107693, 26854, 15120, 108476, 38641, 9174, 14711, 109078, 58850, 55999, 11883, 20251, 25197, 44971, 19732, 123737, 114363, 11883, 31809, 102924, 32648, 16144, 121953, 198, 17039, 126952, 102052, 5486, 71208, 58850, 55999, 11883, 20251, 25197, 44971, 19732, 123737, 114363, 11883, 31809, 102924, 32648, 16144, 17, 104091, 104770, 16144, 20251, 25197, 44971, 29295, 102332, 22324, 116216, 61689, 1811, 71208, 58850, 55999, 11883, 20251, 25197, 44971, 15682, 5486, 108936, 109904, 53610, 108914, 20251, 25197, 44971, 103306, 112832, 72661, 107740, 54926, 105908, 125545, 1811, 123737, 114363, 11883, 31809, 102924, 32648, 15682, 5486, 123737, 116771, 29295, 107740, 54926, 105908, 103082, 5486, 108936, 112535, 80195, 76947, 107740, 78434, 1811, 123737, 114363, 11883, 31809, 102924, 32648, 16144, 48706, 15682, 121453, 126952, 123727, 20251, 25197, 44971, 16144, 107960, 122202, 30512, 100783, 102, 34208, 15024, 5486, 20251, 25197, 44971, 16144, 107740, 126120, 96455, 30512, 70141, 17905, 124545, 103846, 112028, 118821, 50338, 104662, 105226, 104856, 76947, 61689, 1811, 123737, 16144, 107740, 30046, 15682, 5486, 109215, 20230, 106608, 100204, 38144, 115847, 120577, 20251, 25197, 44971, 30512, 109431, 102769, 20230, 33655, 16995, 17620, 105784, 105908, 32018, 62004, 102204, 33541, 9174, 14711, 109228, 104612, 52591, 37823, 84477, 25197, 44971, 25, 124381, 33014, 16144, 16937, 111764, 26854, 24273, 111363, 55487, 101557, 106, 198, 17039, 126952, 77181, 5486, 111006, 16144, 16937, 111764, 26854, 24273, 111363, 55487, 101557, 106, 103306, 5486, 66953, 104612, 52591, 37823, 84477, 25197, 44971, 29295, 102332, 22324, 116216, 61689, 118844, 120577, 20251, 25197, 44971, 15682, 5486, 101918, 120094, 121240, 107740, 30046, 71289, 45736, 106036, 95, 30046, 104309, 5486, 115612, 26854, 55487, 101557, 106, 30512, 109215, 117408, 17792, 104680, 20230, 60632, 102924, 34171, 30512, 104908, 78434, 1811, 46034, 17663, 31431, 71289, 108285, 104680, 114267, 118347, 61398, 5486, 108008, 115882, 104309, 5486, 105509, 34171, 19732, 60632, 102924, 34171, 30512, 30358, 103984, 56051, 113404, 29295, 26854, 116216, 61689, 1811, 122270, 121453, 126952, 16144, 66953, 104612, 52591, 37823, 84477, 25197, 44971, 15682, 90962, 71634, 39850, 78983, 117271, 104309, 5486, 118969, 75694, 17129, 26854, 78683, 106240, 113115, 106608, 56051, 121432, 30512, 104908, 78434, 118844, 120577, 120370, 112212, 121453, 126952, 15682, 30591, 33503, 106644, 30369, 110498, 65854, 29295, 51385, 64209, 39926, 107740, 108608, 118522, 16144, 127284, 46034, 38574, 103195, 106592, 33563, 110322, 78434, 9174, 567, 80019, 126952, 16144, 20251, 25197, 44971, 109606, 30512, 50338, 104662, 6447, 110498, 101918, 123628, 107253, 104874, 198, 17039, 126952, 113245, 101544, 124349, 120523, 77181, 5486, 102395, 109431, 30813, 30512, 105184, 33563, 54926, 113009, 20251, 25197, 44971, 123863, 16995, 47884, 59739, 116421, 61633, 28542, 115991, 33541, 1811, 66378, 20230, 5486, 110498, 101918, 123628, 20251, 25197, 44971, 107740, 5486, 53610, 17620, 111983, 110698, 16144, 107507, 101198, 94550, 5486, 80539, 120523, 37087, 33014, 30512, 33035, 100204, 28713, 109431, 102769, 26854, 20251, 25197, 44971, 103359, 105226, 15682, 5486, 71634, 108744, 52591, 102540, 26854, 120523, 30512, 103350, 102321, 54926, 113009, 107693, 38641, 118844, 120577, 30926, 105904, 30512, 109431, 102769, 20230, 82420, 55723, 15024, 5486, 103350, 23039, 54926, 118733, 5486, 101544, 82973, 16144, 17039, 126952, 120523, 72661, 102395, 109431, 30813, 30512, 109205, 69978, 15024, 5486, 33014, 104873, 30512, 103553, 102, 17663, 100909, 103470, 113173, 30590, 20230, 28037, 100815, 54926, 105908, 125545, 113637, 46028, 77181, 115847, 120577, 120098, 109853, 50520, 111, 106624, 122984, 15024, 121453, 126952, 113245, 102395, 109431, 26854, 120523, 30512, 103350, 102321, 54926, 124122, 118789, 109904, 103359, 105226, 30512, 29172, 81742, 78434, 9174, 14711, 107023, 245, 101918, 123628, 20251, 25197, 44971, 107740, 198, 17039, 126952, 20230, 110498, 30369, 112772, 20251, 25197, 44971, 30512, 107740, 54926, 109335, 5486, 101544, 82973, 16144, 120523, 72661, 102395, 109431, 30813, 30512, 109205, 69978, 54926, 124122, 107693, 26854, 106826, 103830, 38641, 1811, 20834, 102404, 16144, 112772, 20251, 25197, 44971, 30512, 120824, 104028, 118733, 121453, 126952, 32943, 113245, 20251, 25197, 44971, 107740, 16144, 109215, 34171, 30512, 114485, 124949, 5486, 101544, 124349, 120523, 16144, 122756, 21990, 100204, 30369, 125396, 16144, 101182, 16937, 102924, 71289, 16937, 102395, 99750, 30512, 111098, 105784, 105908, 125545, 118855, 5486, 103449, 32943, 102052, 117032, 5486, 43240, 121432, 20251, 25197, 44971, 71289, 111006, 16144, 16937, 111764, 26854, 17792, 70141, 76622, 16144, 120370, 32977, 47406, 104874, 110731, 103846, 5486, 115612, 26854, 78683, 106240, 114792, 59739, 120523, 30046, 125030, 114598, 5486, 110498, 101918, 112772, 20251, 25197, 44971, 30512, 107740, 54926, 106592, 84851, 28194, 101, 78434, 9174, 14711, 107732, 17620, 111983, 110698, 16144, 109431, 102769, 26854, 107507, 101198, 94550, 198, 101544, 82973, 16144, 17039, 126952, 120523, 16325, 102052, 5486, 109431, 102769, 26854, 53610, 17620, 111983, 110698, 29295, 109215, 38641, 119520, 106116, 107507, 101198, 94550, 15682, 107693, 16556, 5486, 109431, 102769, 20230, 40452, 54926, 118733, 20251, 25197, 44971, 107740, 16144, 109215, 34171, 30512, 126128, 44416, 54926, 105908, 88367, 38641, 1811, 27452, 116285, 121453, 126952, 16144, 110498, 101918, 74245, 112772, 122333, 16144, 53610, 17620, 30512, 99046, 224, 18655, 112990, 5486, 120523, 126867, 118430, 118095, 20230, 20251, 25197, 44971, 30512, 120824, 104028, 100909, 115717, 32149, 101832, 107515, 109900, 105755, 15682, 5486, 83747, 33857, 101860, 59739, 23187, 23538, 112535, 53610, 17620, 30512, 111983, 110698, 54926, 106592, 33334, 53508, 100, 62004, 78434, 113637, 39880, 107420, 113335, 112212, 5486, 110645, 53610, 111571, 103397, 30512, 103911, 103181, 21105, 103, 29295, 33503, 32977, 5486, 20251, 25197, 44971, 16144, 107740, 118430, 27479, 30512, 109431, 102769, 20230, 47260, 52414, 42634, 64178, 125545, 9174, 14711, 125781, 109431, 26854, 17039, 126952, 120523, 16144, 124122, 20251, 25197, 44971, 103359, 105226, 198, 17039, 126952, 120523, 16144, 102395, 109431, 30813, 30512, 105184, 33563, 54926, 124122, 103359, 105226, 15682, 43240, 58699, 238, 20230, 78183, 115926, 33541, 29295, 5486, 110382, 77181, 66378, 20230, 20251, 25197, 44971, 20230, 118220, 28542, 30512, 40265, 38144, 106956, 106046, 61689, 1811, 110498, 101918, 123628, 20251, 25197, 44971, 107740, 19732, 109431, 102769, 26854, 53610, 17620, 111983, 110698, 15682, 25580, 43032, 16144, 121640, 107693, 119627, 108048, 103378, 77181, 124897, 1811, 17039, 126952, 123727, 20251, 25197, 44971, 15682, 5486, 107960, 122202, 39177, 71289, 118095, 112008, 23538, 102052, 107740, 29295, 110482, 111108, 108176, 105908, 57903, 33541, 1811, 102131, 16995, 100472, 39177, 15682, 112160, 27479, 113173, 30590, 20230, 28037, 100815, 39926, 55031, 20251, 25197, 44971, 30512, 107740, 54926, 104309, 5486, 115289, 122279, 26854, 103359, 105226, 30512, 78698, 105262, 115789, 27384, 102769 ]
[ 38641, 118855, 5486, 101544, 82973, 16144, 120523, 77181, 5486, 120988, 115351, 11883, 16144, 111234, 67075, 103906, 116219, 71289, 102040, 102860, 60868, 78683, 107507, 119534, 30512, 120988, 23039, 54926, 115789, 5486, 108581, 21990, 28190, 30512, 33563, 59739, 113009, 19361, 126120, 26854, 46034, 38574, 121711, 33541, 9174, 567, 80019, 126952, 113245, 20251, 25197, 44971, 115517, 25, 119041, 76947, 33334, 47884, 125231, 68759, 118567, 198, 17039, 126952, 113245, 120523, 77181, 5486, 127177, 110498, 65854, 19732, 55999, 19361, 54926, 118347, 61398, 112028, 59739, 103195, 20251, 25197, 44971, 16144, 107740, 102052, 5486, 66378, 23187, 16144, 68759, 118567, 29295, 32018, 62004, 102204, 33541, 118844, 15682, 121453, 126952, 20251, 25197, 44971, 16144, 80866, 162, 66391, 30813, 30512, 33563, 59739, 41007, 5486, 20251, 25197, 44971, 124905, 30297, 104983, 16144, 61633, 28542, 5486, 80539, 127177, 110498, 65854, 111363, 55487, 101557, 106, 123863, 120098, 30512, 37689, 109375, 54926, 100909, 112212, 104067, 13153, 84389, 33541, 1811, 55999, 19361, 118347, 61398, 103195, 20251, 25197, 44971, 30512, 107740, 54926, 104983, 102052, 5486, 105994, 121142, 103470, 127177, 110498, 65854, 16144, 60632, 102924, 34171, 19732, 102395, 109431, 34171, 32977, 78698, 101557, 106, 54926, 105908, 27384, 102769, 38641, 113637, 46028, 77181, 121453, 126952, 113245, 20251, 25197, 44971, 107740, 123863, 68759, 118567, 109853, 50520, 111, 106624, 122984, 15024, 5486, 102395, 109431, 16556, 109431, 102769, 26854, 17039, 126952, 33014, 111186, 30512, 104908, 78434, 9174, 14711, 80019, 126952, 20251, 25197, 44971, 16144, 80866, 162, 66391, 30813, 30512, 33563, 59739, 41007, 198, 17039, 126952, 16144, 20251, 25197, 44971, 16144, 80866, 162, 66391, 30813, 30512, 33563, 59739, 103846, 102052, 5486, 102208, 37026, 29295, 109431, 102769, 26854, 68759, 118567, 30512, 106154, 30369, 105908, 109947, 124490, 38641, 1811, 118789, 9554, 102052, 5486, 20251, 25197, 123167, 99695, 124603, 30512, 109431, 102769, 20230, 15017, 101, 125655, 5486, 20251, 25197, 44971, 16144, 103605, 105350, 30512, 21980, 248, 30813, 100604, 104466, 54926, 5486, 46034, 108914, 16995, 74482, 15682, 53610, 18904, 31431, 30512, 50834, 43514, 127842, 119455, 32149, 17663, 123160, 23039, 101399, 29295, 32018, 62004, 102204, 33541, 118855, 5486, 20251, 25197, 44971, 30512, 38129, 74482, 15682, 5486, 33671, 20230, 107740, 54926, 107707, 113009, 102924, 103605, 30512, 50834, 43514, 127842, 17297, 85791, 17663, 115789, 112727, 33121, 101860, 120650, 16995, 17129, 109954, 118844, 120577, 23039, 101399, 29295, 121453, 126952, 16144, 20251, 25197, 44971, 29295, 40053, 20230, 80866, 162, 66391, 16556, 102395, 109431, 26854, 117501, 103195, 106592, 105184, 33563, 78434, 9174, 14711, 108613, 25197, 44971, 124905, 30297, 110018, 16144, 61633, 28542, 198, 17039, 126952, 16144, 20251, 25197, 44971, 30512, 107740, 54926, 104983, 102052, 116898, 47884, 59739, 116421, 61633, 28542, 30512, 103892, 109156, 106824, 33334, 126145, 103424, 117201, 109954, 1811, 126843, 5486, 20251, 25197, 123167, 99695, 124603, 15682, 107792, 103664, 39926, 38129, 15024, 5486, 20251, 25197, 44971, 29295, 50520, 108, 115464, 16144, 30512, 103181, 105557, 17129, 109954, 118855, 5486, 127284, 16325, 16144, 17039, 126952, 32943, 77181, 105047, 95475, 101918, 71289, 107084, 91875, 29295, 125119, 30369, 125396, 115991, 33541, 105879, 5486, 80195, 100472, 110674, 16144, 107740, 15682, 111098, 76622, 5486, 59614, 101860, 103605, 76947, 107740, 54926, 104466, 103801, 109954, 1811, 122270, 121453, 126952, 16144, 20251, 25197, 44971, 15682, 102159, 102452, 29295, 48249, 124195, 108086, 5486, 75293, 103836, 127177, 110498, 65854, 32977, 107991, 125396, 115991, 33541, 109807, 103846, 5486, 108608, 103378, 118649, 95399, 20230, 107740, 54926, 105908, 32018, 62004, 102204, 33541, 9174, 14711, 114163, 16144, 110498, 65854, 111363, 55487, 101557, 106, 25, 106982, 96452, 25005, 251, 114810, 198, 17039, 126952, 16144, 20251, 25197, 44971, 107740, 77181, 5486, 127177, 110498, 65854, 111363, 55487, 101557, 106, 29295, 109215, 38641, 1811, 27452, 116285, 5486, 20251, 25197, 44971, 16144, 38129, 74482, 15682, 5486, 33671, 20230, 107740, 54926, 114754, 102395, 109431, 20230, 33655, 105262, 104466, 80866, 162, 66391, 20230, 33563, 59739, 105908, 27384, 102769, 38641, 118855, 5486, 107960, 122202, 39177, 102052, 23039, 32218, 29295, 108608, 115789, 57903, 33541, 105879, 5486, 108608, 103378, 118649, 95399, 20230, 107740, 54926, 104466, 64209, 115856, 76622, 17129, 109954, 124845, 5486, 96356, 108502, 30046, 71289, 45736, 106036, 95, 30046, 5486, 100525, 232, 122924, 104309, 5486, 115612, 26854, 78683, 106240, 114792, 59739, 17792, 104680, 111363, 55487, 101557, 106, 32977, 107693, 38641, 1811, 103031, 33503, 29295, 20251, 25197, 44971, 30512, 109215, 103306, 107991, 126513, 5486, 105994, 29295, 61826, 20230, 107740, 54926, 16144, 126194, 106116, 17792, 105459, 20230, 92148, 110, 30369, 106592, 78698, 107290, 64121, 38144, 72315, 118844, 120577, 55487, 101557, 106, 15682, 121453, 126952, 113245, 120523, 30512, 37087, 38144, 124911, 125030, 76947, 105755, 102395, 109431, 26854, 102944, 20230, 78434, 1811, 128001, 128000, 123218, 30512, 108167, 48915, 121256, 115397, 34048, 124911, 104680, 15682, 5486, 45923, 102803, 91482, 94550, 16144, 57207, 108969, 33710, 26854, 104940, 102802, 16144, 113009, 5486, 107430, 101275, 113468, 77693, 117824, 30297, 19732, 108048, 15682, 30591, 112568, 16144, 9080, 40053, 104654, 30512, 109215, 117408, 103846, 112160, 34048, 124911, 104680, 15682, 77693, 117824, 61689, 1811, 102321, 103350, 103195, 106592, 5486, 110589, 111476, 103768, 108436, 103048, 110008, 110322, 114792, 76947, 61689, 11, 220, 72661, 5486, 115364, 101918, 102052, 5486, 43240, 119064, 32, 16144, 103846, 117084, 50834, 79721, 126075, 31634, 34171, 15682, 5486, 111764, 20230, 104721, 109033, 78434, 13, 220, 122582, 21403, 232, 21418, 103768, 108436, 103048, 110008, 110322, 5486, 3971, 97049, 19732, 17, 107707, 127032, 114792, 59739, 126326, 23039, 16995, 5486, 34, 1006, 1246, 30512, 36668, 106839, 15024, 110371, 108008, 20230, 102944, 16556, 56051, 123405, 112568, 16144, 126465, 77181, 5486, 122617, 29295, 43511, 20230, 99849, 32977, 120018, 117273, 20230, 110284, 109768, 100604, 103031, 16144, 106135, 16144, 115541, 108710, 64810, 26269, 104272, 103296, 30297, 17129, 47884, 16995, 100472, 5486, 115882, 30512, 41642, 18904, 54926, 101918, 110176, 15682, 5486, 43514, 107106, 67645, 103031, 16144, 101918, 16144, 101557, 96, 23039, 55031, 102718, 39850, 84477, 33710, 17905, 16144, 103031, 16144, 101918, 101911, 20230, 117976, 17701, 121256, 1811, 103031, 16144, 106613, 111186, 30512, 104655, 47884, 109335, 86127, 126027, 119869, 16144, 105284, 99397, 30512, 102404, 21990, 15024, 5486, 116422, 112371, 30591, 112568, 15682, 103768, 108436, 109755, 119467, 111571, 20230, 107202, 15024, 104004, 15024, 27704, 107436, 61689, 32149, 95532, 32, 2880, 1073, 41163, 5232, 113385, 198, 127298, 48864, 30046, 198, 102040, 91482, 115941, 9458, 125380, 122407, 44971, 42634, 220, 85701, 15682, 5486, 103350, 11883, 109904, 71005, 109519, 30512, 33035, 100204, 38144, 90727, 1073, 41163, 30512, 111694, 103836, 121648, 111363, 8107, 56965, 16144, 106081, 23039, 78434, 1811, 103031, 120577, 111234, 52884, 116229, 17905, 16556, 45631, 109755, 104028, 100909, 103470, 103768, 108436, 10646, 113508, 19732, 5486, 119869, 90727, 1073, 52209, 17038, 90727, 1073, 41163, 17905, 16144, 108134, 16144, 43240, 47884, 15682, 5486, 18, 118821, 105572, 26854, 118953, 107610, 20230, 17620, 76622, 33541, 5232, 912, 588, 645, 104102, 233, 108436, 72342, 101860, 20230, 101544, 16995, 56965, 69978, 103836, 17792, 220, 80539, 119568, 33503, 15682, 105879, 5486, 127408, 19732, 109755, 119467, 20230, 104721, 109033, 109215, 26854, 106613, 111186, 114792, 107462, 105823, 88356, 87447, 56051, 110018, 1811, 87109, 51385, 30512, 103768, 108436, 126867, 101544, 116033, 78183, 28713, 76947, 122401, 39926, 105898, 17792, 104680, 11, 220, 122582, 5486, 9080, 40053, 104654, 16144, 71634, 108744, 113468, 45059, 84389, 5486, 106547, 114218, 33014, 111186, 114475, 76622, 100934, 45923, 102803, 66953, 11, 10447, 117, 108, 31431, 104196, 17663, 2002, 72, 408, 316, 88151, 9174, 34, 1006, 1246, 15682, 5486, 109790, 16144, 118953, 107610, 20230, 103204, 103792, 5232, 106613, 111186, 15682, 101544, 16995, 56965, 104862, 32018, 121256, 13, 101961, 27479, 123218, 20230, 119869, 20230, 73686, 32149, 33121, 33541, 29295, 5486, 126843, 108048, 15682, 5486, 103350, 11883, 109904, 107059, 22398, 30512, 127696, 109818, 54926, 113009, 9039, 113746, 32149, 107277, 79721, 1811, 103031, 29295, 122984, 54926, 104466, 119568, 29295, 103350, 104983, 20230, 22398, 91062, 106240, 20230, 101918, 29295, 5486, 40053, 20230, 104773, 16556, 56051, 1811, 103359, 102867, 112535, 5486, 103372, 95399, 117273, 15682, 5486, 108761, 74090, 30512, 108493, 100204, 102204, 79721, 1811, 5232, 121821, 16144, 108038, 20230, 108068, 101576, 118, 15024, 5486, 120018, 20251, 118359, 20230, 110284, 101067, 66201, 39926, 64121, 38144, 72315, 118855, 5486, 126465, 38641, 109332, 39880, 102540, 11, 362, 220, 220, 1419, 97049, 5232, 109453, 15682, 103768, 108436, 21105, 103, 102518, 123429, 111848, 40265, 85707, 5486, 110924, 55031, 125894, 91875, 16144, 103031, 16144, 109755, 119467, 9174, 99849, 29295, 90727, 1073, 52209, 4042, 30512, 112391, 127280, 32149, 95532, 108038, 26854, 127258, 121143, 80805, 122842, 120234, 51385, 19732, 109755, 119467, 108729, 112535, 13, 76771, 223, 15682, 127880, 109755, 119467, 16144, 113009, 115408, 15682, 104067, 54926, 125396, 107407, 106592, 112391, 79721, 103372, 95399, 113245, 123429, 16144, 113385, 121711, 5486, 66776, 35757, 83799, 121882, 233, 111331, 105933, 10646, 5486, 34, 1006, 1246, 13, 15682, 78244, 61689, 121987, 125380, 122407, 44971, 42634, 103732, 104533, 115847, 15682, 90727, 2642, 52209, 4042, 122692, 108936, 109904, 111571, 103397, 112028, 59739, 103195, 5232, 69978, 76947, 61689, 109517, 254, 16144, 102099, 104736, 109375, 63091, 17620, 15682, 5486, 127177, 45923, 102803, 110590, 20230, 109688, 117126, 30512, 78698, 101557, 106, 121256, 1811, 109860, 36896, 117475, 16144, 80805, 122842, 66383, 39926, 5486, 103927, 25197, 64178, 16144, 74482, 85791, 20230, 103031, 16144, 120208, 30512, 122984, 15024, 108048, 30512, 125894, 91875, 54926, 113009, 119607, 114267, 110018, 5486, 127408, 102404, 19967, 114475, 105784, 5486, 102677, 109823, 39850, 39880, 102540, 15682, 5486, 23039, 61689, 1811, 45631, 122571, 86127, 29295, 44416, 109088, 15024, 115408, 30512, 42634, 48552, 109768, 100604, 105879, 5486, 101365, 106613, 105284, 1811, 86127, 29295, 103768, 108436, 107113, 110018, 115408, 15682, 86127, 29295, 127749, 30512, 47260, 52414, 42634, 64178, 109768, 100604, 103792, 106592, 112391, 33541, 13, 76771, 223, 15682, 123429, 114792, 59739, 112973, 119467, 118544, 56965, 108010, 76947, 127091, 30512, 15024, 117119, 32149, 29295, 127880, 72342, 16995, 118587, 102404, 21990, 78434, 1811, 103768, 108436, 16144, 58426, 108038, 26854, 120853, 115924, 95543, 106608, 30512, 124572, 23187, 5232, 103350, 104983, 102052, 108048, 15682, 107420, 108969, 20251, 80805, 122842, 15682, 119568, 15682, 5486, 103927, 25197, 64178, 16144, 74482, 85791, 110276, 9039, 18904, 16144, 16, 30512, 76537, 106358, 79721, 9174, 39177, 102052, 71208, 30512, 125894, 91875, 54926, 107202, 15024, 104127, 127258, 121143, 109755, 33121, 115991, 198, 117273, 101067, 66201, 17905, 16144, 33476, 23187, 109904, 113727, 71289, 105150, 121143, 109904, 127749, 16144, 122617, 16144, 104091, 104770, 13, 112828, 104604, 30512, 101307, 100472, 31431, 91774, 100934, 17792, 105110, 81219, 5486, 67645, 120950, 77693, 119703, 19732, 5486, 45923, 102803, 52884, 119607, 114267, 110018, 20230, 48915, 114218, 34171, 106613, 111186, 30512, 112854, 107290, 61689, 1811, 330, 112828, 104604, 16144, 74482, 115408, 15682, 330, 121142, 103470, 5486, 125894, 91875, 119467, 16995, 102189, 107493, 5486, 30926, 103350, 116771, 125894, 91875, 54926, 113009, 5486, 107059, 116219, 15682, 37046, 104680, 15682, 88356, 102802, 38093, 61689, 11, 106982, 104612, 15682, 115408, 105459, 20230, 122984, 127145, 1811, 1097, 710, 1073, 41163, 107202, 21105, 123, 16144, 105586, 25287, 109904, 107420, 104774, 106696, 107118, 99849, 112130, 95532, 13177, 109755, 104028, 100909, 103470, 103768, 108436, 117503, 111234, 52884, 116229, 17905, 16556, 122984, 56051, 104466, 198, 966, 19732, 1272, 97049, 16144, 111482, 29295, 5486, 32335, 32977, 108936, 109904, 107420, 106384, 64178, 38641, 13, 220, 80673, 110745, 17129, 111201, 78244, 116285, 51330, 109755, 119467, 111571, 20230, 107202, 15024, 104004, 125396, 29295, 126574, 103195, 106839, 101721, 34171, 103195, 5232, 68759, 123646, 50, 885, 13, 112686, 108638, 16144, 104873, 112984, 103732, 104533, 5486, 104102, 233, 108436, 16144, 109755, 119467, 19732, 45923, 102803, 110590, 16144, 1114, 113127, 29295, 111482, 103195, 40474, 109369, 11, 115623, 102802, 110944, 232, 121143, 117809, 16144, 107803, 20230, 17, 80805, 38248, 119, 52414, 13, 220, 67645, 112384, 16144, 107803, 32977, 5486, 111482, 16144, 111017, 40862, 15682, 123737, 16144, 98406, 38641, 9174, 42016, 103826, 20230, 5486, 43240, 119064, 107803, 5486, 103768, 108436, 16144, 109755, 33121, 29295, 16556, 58318, 58942, 124195, 61689, 198, 17792, 104680, 15682, 21403, 232, 21418, 84389, 79721, 29295, 5486, 123218, 15682, 101918, 30512, 18655, 30369, 100909, 103470, 5486, 101544, 16995, 82973, 30512, 116216, 61689, 11, 66297, 120, 58850, 15682, 62004, 100472, 20230, 18, 8107, 123628, 123218, 16144, 123090, 21418, 86436, 21105, 103, 16995, 19732, 109755, 119467, 5486, 106613, 111186, 127242, 19732, 50021, 17129, 76947, 36668, 106839, 68759, 104612, 16144, 107803, 119775, 115515, 5486, 16937, 88367, 26854, 117876, 30512, 125894, 91875, 78434, 9174, 88367, 90727, 1073, 41163, 30512, 5486, 76739, 123546, 94550, 95532, 116366, 103468, 9080, 121914, 5486, 110322, 26955, 254, 103306, 111476, 34, 1006, 1246, 66297, 120, 29295, 104662, 62004, 79721, 220, 58426, 7190, 121, 124121, 113115, 117120, 15024, 5486, 101918, 16556, 123357, 32938, 20230, 100815, 47884, 105879, 115408, 15682, 120018, 117273, 30512, 18655, 33503, 123207, 26854, 31431, 105823, 104127, 56051, 13, 66297, 120, 29295, 71289, 31431, 79721, 1811, 103031, 16144, 64209, 107809, 77181, 32977, 15682, 71289, 108493, 64889, 16144, 108761, 74090, 30512, 120018, 117273, 5232, 58426, 49691, 231, 101275, 15682, 119568, 29295, 103031, 16144, 109755, 119467, 111571, 30512, 101545, 44309, 23039, 123671, 107515, 119520, 108149, 112568, 15682, 108038, 20230, 103768, 108436, 16144, 109755, 119467, 20230, 105721, 116547, 79721, 32149, 95532, 103899, 58942, 15682, 101335, 11972, 38641, 123405, 112568, 15682, 109606, 103470, 5486, 103927 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38641, 118855, 5486, 101544, 82973, 16144, 120523, 77181, 5486, 120988, 115351, 11883, 16144, 111234, 67075, 103906, 116219, 71289, 102040, 102860, 60868, 78683, 107507, 119534, 30512, 120988, 23039, 54926, 115789, 5486, 108581, 21990, 28190, 30512, 33563, 59739, 113009, 19361, 126120, 26854, 46034, 38574, 121711, 33541, 9174, 567, 80019, 126952, 113245, 20251, 25197, 44971, 115517, 25, 119041, 76947, 33334, 47884, 125231, 68759, 118567, 198, 17039, 126952, 113245, 120523, 77181, 5486, 127177, 110498, 65854, 19732, 55999, 19361, 54926, 118347, 61398, 112028, 59739, 103195, 20251, 25197, 44971, 16144, 107740, 102052, 5486, 66378, 23187, 16144, 68759, 118567, 29295, 32018, 62004, 102204, 33541, 118844, 15682, 121453, 126952, 20251, 25197, 44971, 16144, 80866, 162, 66391, 30813, 30512, 33563, 59739, 41007, 5486, 20251, 25197, 44971, 124905, 30297, 104983, 16144, 61633, 28542, 5486, 80539, 127177, 110498, 65854, 111363, 55487, 101557, 106, 123863, 120098, 30512, 37689, 109375, 54926, 100909, 112212, 104067, 13153, 84389, 33541, 1811, 55999, 19361, 118347, 61398, 103195, 20251, 25197, 44971, 30512, 107740, 54926, 104983, 102052, 5486, 105994, 121142, 103470, 127177, 110498, 65854, 16144, 60632, 102924, 34171, 19732, 102395, 109431, 34171, 32977, 78698, 101557, 106, 54926, 105908, 27384, 102769, 38641, 113637, 46028, 77181, 121453, 126952, 113245, 20251, 25197, 44971, 107740, 123863, 68759, 118567, 109853, 50520, 111, 106624, 122984, 15024, 5486, 102395, 109431, 16556, 109431, 102769, 26854, 17039, 126952, 33014, 111186, 30512, 104908, 78434, 9174, 14711, 80019, 126952, 20251, 25197, 44971, 16144, 80866, 162, 66391, 30813, 30512, 33563, 59739, 41007, 198, 17039, 126952, 16144, 20251, 25197, 44971, 16144, 80866, 162, 66391, 30813, 30512, 33563, 59739, 103846, 102052, 5486, 102208, 37026, 29295, 109431, 102769, 26854, 68759, 118567, 30512, 106154, 30369, 105908, 109947, 124490, 38641, 1811, 118789, 9554, 102052, 5486, 20251, 25197, 123167, 99695, 124603, 30512, 109431, 102769, 20230, 15017, 101, 125655, 5486, 20251, 25197, 44971, 16144, 103605, 105350, 30512, 21980, 248, 30813, 100604, 104466, 54926, 5486, 46034, 108914, 16995, 74482, 15682, 53610, 18904, 31431, 30512, 50834, 43514, 127842, 119455, 32149, 17663, 123160, 23039, 101399, 29295, 32018, 62004, 102204, 33541, 118855, 5486, 20251, 25197, 44971, 30512, 38129, 74482, 15682, 5486, 33671, 20230, 107740, 54926, 107707, 113009, 102924, 103605, 30512, 50834, 43514, 127842, 17297, 85791, 17663, 115789, 112727, 33121, 101860, 120650, 16995, 17129, 109954, 118844, 120577, 23039, 101399, 29295, 121453, 126952, 16144, 20251, 25197, 44971, 29295, 40053, 20230, 80866, 162, 66391, 16556, 102395, 109431, 26854, 117501, 103195, 106592, 105184, 33563, 78434, 9174, 14711, 108613, 25197, 44971, 124905, 30297, 110018, 16144, 61633, 28542, 198, 17039, 126952, 16144, 20251, 25197, 44971, 30512, 107740, 54926, 104983, 102052, 116898, 47884, 59739, 116421, 61633, 28542, 30512, 103892, 109156, 106824, 33334, 126145, 103424, 117201, 109954, 1811, 126843, 5486, 20251, 25197, 123167, 99695, 124603, 15682, 107792, 103664, 39926, 38129, 15024, 5486, 20251, 25197, 44971, 29295, 50520, 108, 115464, 16144, 30512, 103181, 105557, 17129, 109954, 118855, 5486, 127284, 16325, 16144, 17039, 126952, 32943, 77181, 105047, 95475, 101918, 71289, 107084, 91875, 29295, 125119, 30369, 125396, 115991, 33541, 105879, 5486, 80195, 100472, 110674, 16144, 107740, 15682, 111098, 76622, 5486, 59614, 101860, 103605, 76947, 107740, 54926, 104466, 103801, 109954, 1811, 122270, 121453, 126952, 16144, 20251, 25197, 44971, 15682, 102159, 102452, 29295, 48249, 124195, 108086, 5486, 75293, 103836, 127177, 110498, 65854, 32977, 107991, 125396, 115991, 33541, 109807, 103846, 5486, 108608, 103378, 118649, 95399, 20230, 107740, 54926, 105908, 32018, 62004, 102204, 33541, 9174, 14711, 114163, 16144, 110498, 65854, 111363, 55487, 101557, 106, 25, 106982, 96452, 25005, 251, 114810, 198, 17039, 126952, 16144, 20251, 25197, 44971, 107740, 77181, 5486, 127177, 110498, 65854, 111363, 55487, 101557, 106, 29295, 109215, 38641, 1811, 27452, 116285, 5486, 20251, 25197, 44971, 16144, 38129, 74482, 15682, 5486, 33671, 20230, 107740, 54926, 114754, 102395, 109431, 20230, 33655, 105262, 104466, 80866, 162, 66391, 20230, 33563, 59739, 105908, 27384, 102769, 38641, 118855, 5486, 107960, 122202, 39177, 102052, 23039, 32218, 29295, 108608, 115789, 57903, 33541, 105879, 5486, 108608, 103378, 118649, 95399, 20230, 107740, 54926, 104466, 64209, 115856, 76622, 17129, 109954, 124845, 5486, 96356, 108502, 30046, 71289, 45736, 106036, 95, 30046, 5486, 100525, 232, 122924, 104309, 5486, 115612, 26854, 78683, 106240, 114792, 59739, 17792, 104680, 111363, 55487, 101557, 106, 32977, 107693, 38641, 1811, 103031, 33503, 29295, 20251, 25197, 44971, 30512, 109215, 103306, 107991, 126513, 5486, 105994, 29295, 61826, 20230, 107740, 54926, 16144, 126194, 106116, 17792, 105459, 20230, 92148, 110, 30369, 106592, 78698, 107290, 64121, 38144, 72315, 118844, 120577, 55487, 101557, 106, 15682, 121453, 126952, 113245, 120523, 30512, 37087, 38144, 124911, 125030, 76947, 105755, 102395, 109431, 26854, 102944, 20230, 78434, 1811, 128001, 128000, 123218, 30512, 108167, 48915, 121256, 115397, 34048, 124911, 104680, 15682, 5486, 45923, 102803, 91482, 94550, 16144, 57207, 108969, 33710, 26854, 104940, 102802, 16144, 113009, 5486, 107430, 101275, 113468, 77693, 117824, 30297, 19732, 108048, 15682, 30591, 112568, 16144, 9080, 40053, 104654, 30512, 109215, 117408, 103846, 112160, 34048, 124911, 104680, 15682, 77693, 117824, 61689, 1811, 102321, 103350, 103195, 106592, 5486, 110589, 111476, 103768, 108436, 103048, 110008, 110322, 114792, 76947, 61689, 11, 220, 72661, 5486, 115364, 101918, 102052, 5486, 43240, 119064, 32, 16144, 103846, 117084, 50834, 79721, 126075, 31634, 34171, 15682, 5486, 111764, 20230, 104721, 109033, 78434, 13, 220, 122582, 21403, 232, 21418, 103768, 108436, 103048, 110008, 110322, 5486, 3971, 97049, 19732, 17, 107707, 127032, 114792, 59739, 126326, 23039, 16995, 5486, 34, 1006, 1246, 30512, 36668, 106839, 15024, 110371, 108008, 20230, 102944, 16556, 56051, 123405, 112568, 16144, 126465, 77181, 5486, 122617, 29295, 43511, 20230, 99849, 32977, 120018, 117273, 20230, 110284, 109768, 100604, 103031, 16144, 106135, 16144, 115541, 108710, 64810, 26269, 104272, 103296, 30297, 17129, 47884, 16995, 100472, 5486, 115882, 30512, 41642, 18904, 54926, 101918, 110176, 15682, 5486, 43514, 107106, 67645, 103031, 16144, 101918, 16144, 101557, 96, 23039, 55031, 102718, 39850, 84477, 33710, 17905, 16144, 103031, 16144, 101918, 101911, 20230, 117976, 17701, 121256, 1811, 103031, 16144, 106613, 111186, 30512, 104655, 47884, 109335, 86127, 126027, 119869, 16144, 105284, 99397, 30512, 102404, 21990, 15024, 5486, 116422, 112371, 30591, 112568, 15682, 103768, 108436, 109755, 119467, 111571, 20230, 107202, 15024, 104004, 15024, 27704, 107436, 61689, 32149, 95532, 32, 2880, 1073, 41163, 5232, 113385, 198, 127298, 48864, 30046, 198, 102040, 91482, 115941, 9458, 125380, 122407, 44971, 42634, 220, 85701, 15682, 5486, 103350, 11883, 109904, 71005, 109519, 30512, 33035, 100204, 38144, 90727, 1073, 41163, 30512, 111694, 103836, 121648, 111363, 8107, 56965, 16144, 106081, 23039, 78434, 1811, 103031, 120577, 111234, 52884, 116229, 17905, 16556, 45631, 109755, 104028, 100909, 103470, 103768, 108436, 10646, 113508, 19732, 5486, 119869, 90727, 1073, 52209, 17038, 90727, 1073, 41163, 17905, 16144, 108134, 16144, 43240, 47884, 15682, 5486, 18, 118821, 105572, 26854, 118953, 107610, 20230, 17620, 76622, 33541, 5232, 912, 588, 645, 104102, 233, 108436, 72342, 101860, 20230, 101544, 16995, 56965, 69978, 103836, 17792, 220, 80539, 119568, 33503, 15682, 105879, 5486, 127408, 19732, 109755, 119467, 20230, 104721, 109033, 109215, 26854, 106613, 111186, 114792, 107462, 105823, 88356, 87447, 56051, 110018, 1811, 87109, 51385, 30512, 103768, 108436, 126867, 101544, 116033, 78183, 28713, 76947, 122401, 39926, 105898, 17792, 104680, 11, 220, 122582, 5486, 9080, 40053, 104654, 16144, 71634, 108744, 113468, 45059, 84389, 5486, 106547, 114218, 33014, 111186, 114475, 76622, 100934, 45923, 102803, 66953, 11, 10447, 117, 108, 31431, 104196, 17663, 2002, 72, 408, 316, 88151, 9174, 34, 1006, 1246, 15682, 5486, 109790, 16144, 118953, 107610, 20230, 103204, 103792, 5232, 106613, 111186, 15682, 101544, 16995, 56965, 104862, 32018, 121256, 13, 101961, 27479, 123218, 20230, 119869, 20230, 73686, 32149, 33121, 33541, 29295, 5486, 126843, 108048, 15682, 5486, 103350, 11883, 109904, 107059, 22398, 30512, 127696, 109818, 54926, 113009, 9039, 113746, 32149, 107277, 79721, 1811, 103031, 29295, 122984, 54926, 104466, 119568, 29295, 103350, 104983, 20230, 22398, 91062, 106240, 20230, 101918, 29295, 5486, 40053, 20230, 104773, 16556, 56051, 1811, 103359, 102867, 112535, 5486, 103372, 95399, 117273, 15682, 5486, 108761, 74090, 30512, 108493, 100204, 102204, 79721, 1811, 5232, 121821, 16144, 108038, 20230, 108068, 101576, 118, 15024, 5486, 120018, 20251, 118359, 20230, 110284, 101067, 66201, 39926, 64121, 38144, 72315, 118855, 5486, 126465, 38641, 109332, 39880, 102540, 11, 362, 220, 220, 1419, 97049, 5232, 109453, 15682, 103768, 108436, 21105, 103, 102518, 123429, 111848, 40265, 85707, 5486, 110924, 55031, 125894, 91875, 16144, 103031, 16144, 109755, 119467, 9174, 99849, 29295, 90727, 1073, 52209, 4042, 30512, 112391, 127280, 32149, 95532, 108038, 26854, 127258, 121143, 80805, 122842, 120234, 51385, 19732, 109755, 119467, 108729, 112535, 13, 76771, 223, 15682, 127880, 109755, 119467, 16144, 113009, 115408, 15682, 104067, 54926, 125396, 107407, 106592, 112391, 79721, 103372, 95399, 113245, 123429, 16144, 113385, 121711, 5486, 66776, 35757, 83799, 121882, 233, 111331, 105933, 10646, 5486, 34, 1006, 1246, 13, 15682, 78244, 61689, 121987, 125380, 122407, 44971, 42634, 103732, 104533, 115847, 15682, 90727, 2642, 52209, 4042, 122692, 108936, 109904, 111571, 103397, 112028, 59739, 103195, 5232, 69978, 76947, 61689, 109517, 254, 16144, 102099, 104736, 109375, 63091, 17620, 15682, 5486, 127177, 45923, 102803, 110590, 20230, 109688, 117126, 30512, 78698, 101557, 106, 121256, 1811, 109860, 36896, 117475, 16144, 80805, 122842, 66383, 39926, 5486, 103927, 25197, 64178, 16144, 74482, 85791, 20230, 103031, 16144, 120208, 30512, 122984, 15024, 108048, 30512, 125894, 91875, 54926, 113009, 119607, 114267, 110018, 5486, 127408, 102404, 19967, 114475, 105784, 5486, 102677, 109823, 39850, 39880, 102540, 15682, 5486, 23039, 61689, 1811, 45631, 122571, 86127, 29295, 44416, 109088, 15024, 115408, 30512, 42634, 48552, 109768, 100604, 105879, 5486, 101365, 106613, 105284, 1811, 86127, 29295, 103768, 108436, 107113, 110018, 115408, 15682, 86127, 29295, 127749, 30512, 47260, 52414, 42634, 64178, 109768, 100604, 103792, 106592, 112391, 33541, 13, 76771, 223, 15682, 123429, 114792, 59739, 112973, 119467, 118544, 56965, 108010, 76947, 127091, 30512, 15024, 117119, 32149, 29295, 127880, 72342, 16995, 118587, 102404, 21990, 78434, 1811, 103768, 108436, 16144, 58426, 108038, 26854, 120853, 115924, 95543, 106608, 30512, 124572, 23187, 5232, 103350, 104983, 102052, 108048, 15682, 107420, 108969, 20251, 80805, 122842, 15682, 119568, 15682, 5486, 103927, 25197, 64178, 16144, 74482, 85791, 110276, 9039, 18904, 16144, 16, 30512, 76537, 106358, 79721, 9174, 39177, 102052, 71208, 30512, 125894, 91875, 54926, 107202, 15024, 104127, 127258, 121143, 109755, 33121, 115991, 198, 117273, 101067, 66201, 17905, 16144, 33476, 23187, 109904, 113727, 71289, 105150, 121143, 109904, 127749, 16144, 122617, 16144, 104091, 104770, 13, 112828, 104604, 30512, 101307, 100472, 31431, 91774, 100934, 17792, 105110, 81219, 5486, 67645, 120950, 77693, 119703, 19732, 5486, 45923, 102803, 52884, 119607, 114267, 110018, 20230, 48915, 114218, 34171, 106613, 111186, 30512, 112854, 107290, 61689, 1811, 330, 112828, 104604, 16144, 74482, 115408, 15682, 330, 121142, 103470, 5486, 125894, 91875, 119467, 16995, 102189, 107493, 5486, 30926, 103350, 116771, 125894, 91875, 54926, 113009, 5486, 107059, 116219, 15682, 37046, 104680, 15682, 88356, 102802, 38093, 61689, 11, 106982, 104612, 15682, 115408, 105459, 20230, 122984, 127145, 1811, 1097, 710, 1073, 41163, 107202, 21105, 123, 16144, 105586, 25287, 109904, 107420, 104774, 106696, 107118, 99849, 112130, 95532, 13177, 109755, 104028, 100909, 103470, 103768, 108436, 117503, 111234, 52884, 116229, 17905, 16556, 122984, 56051, 104466, 198, 966, 19732, 1272, 97049, 16144, 111482, 29295, 5486, 32335, 32977, 108936, 109904, 107420, 106384, 64178, 38641, 13, 220, 80673, 110745, 17129, 111201, 78244, 116285, 51330, 109755, 119467, 111571, 20230, 107202, 15024, 104004, 125396, 29295, 126574, 103195, 106839, 101721, 34171, 103195, 5232, 68759, 123646, 50, 885, 13, 112686, 108638, 16144, 104873, 112984, 103732, 104533, 5486, 104102, 233, 108436, 16144, 109755, 119467, 19732, 45923, 102803, 110590, 16144, 1114, 113127, 29295, 111482, 103195, 40474, 109369, 11, 115623, 102802, 110944, 232, 121143, 117809, 16144, 107803, 20230, 17, 80805, 38248, 119, 52414, 13, 220, 67645, 112384, 16144, 107803, 32977, 5486, 111482, 16144, 111017, 40862, 15682, 123737, 16144, 98406, 38641, 9174, 42016, 103826, 20230, 5486, 43240, 119064, 107803, 5486, 103768, 108436, 16144, 109755, 33121, 29295, 16556, 58318, 58942, 124195, 61689, 198, 17792, 104680, 15682, 21403, 232, 21418, 84389, 79721, 29295, 5486, 123218, 15682, 101918, 30512, 18655, 30369, 100909, 103470, 5486, 101544, 16995, 82973, 30512, 116216, 61689, 11, 66297, 120, 58850, 15682, 62004, 100472, 20230, 18, 8107, 123628, 123218, 16144, 123090, 21418, 86436, 21105, 103, 16995, 19732, 109755, 119467, 5486, 106613, 111186, 127242, 19732, 50021, 17129, 76947, 36668, 106839, 68759, 104612, 16144, 107803, 119775, 115515, 5486, 16937, 88367, 26854, 117876, 30512, 125894, 91875, 78434, 9174, 88367, 90727, 1073, 41163, 30512, 5486, 76739, 123546, 94550, 95532, 116366, 103468, 9080, 121914, 5486, 110322, 26955, 254, 103306, 111476, 34, 1006, 1246, 66297, 120, 29295, 104662, 62004, 79721, 220, 58426, 7190, 121, 124121, 113115, 117120, 15024, 5486, 101918, 16556, 123357, 32938, 20230, 100815, 47884, 105879, 115408, 15682, 120018, 117273, 30512, 18655, 33503, 123207, 26854, 31431, 105823, 104127, 56051, 13, 66297, 120, 29295, 71289, 31431, 79721, 1811, 103031, 16144, 64209, 107809, 77181, 32977, 15682, 71289, 108493, 64889, 16144, 108761, 74090, 30512, 120018, 117273, 5232, 58426, 49691, 231, 101275, 15682, 119568, 29295, 103031, 16144, 109755, 119467, 111571, 30512, 101545, 44309, 23039, 123671, 107515, 119520, 108149, 112568, 15682, 108038, 20230, 103768, 108436, 16144, 109755, 119467, 20230, 105721, 116547, 79721, 32149, 95532, 103899, 58942, 15682, 101335, 11972, 38641, 123405, 112568, 15682, 109606, 103470, 5486, 103927 ]
[ 25197, 64178, 16144, 74482, 85791, 20230, 115181, 54926, 105908, 125545, 29295, 5486, 112185, 57903, 33541, 198, 80805, 122842, 125334, 102321, 54926, 66378, 23187, 16144, 127749, 13, 83639, 85707, 15682, 21388, 123671, 33541, 5232, 16, 15682, 5486, 23897, 112772, 112832, 32149, 19732, 23039, 76947, 108149, 112568, 15682, 112854, 58942, 126386, 104412, 123410, 109335, 103082, 107515, 1811, 330, 358, 124490, 75267, 54926, 117475, 16144, 109755, 119467, 114792, 76947, 115408, 15682, 89154, 115332, 30512, 98499, 64121, 18655, 30369, 100909, 113468, 115408, 16144, 84851, 108867, 30512, 124490, 75267, 15024, 5486, 56965, 108010, 100472, 122902, 30512, 20834, 38144, 5486, 74482, 114941, 31431, 126557, 51330, 105933, 114667, 55031, 108149, 26854, 90620, 76622, 77181, 108008, 20230, 101544, 16995, 120523, 117824, 30297, 109335, 103082, 107515, 9174, 76171, 29220, 33710, 65575, 198, 35086, 233, 73597, 252, 32977, 127408, 126694, 13153, 78434, 1811, 11, 45631, 112772, 103130, 104004, 105908, 118765, 102677, 16144, 119962, 32938, 109755, 119467, 111571, 16144, 109755, 85791, 102800, 99750, 112854, 5486, 126557, 122270, 111925, 23538, 20251, 100560, 235, 33710, 13177, 122571, 68759, 45923, 37823, 105404, 20230, 101987, 104127, 16995, 104533, 122571, 44, 966, 16144, 20251, 100560, 235, 114615, 16, 20230, 50928, 28713, 105908, 124897, 115408, 15682, 101918, 20230, 107991, 107803, 5486, 112832, 32149, 29295, 47406, 35287, 54926, 109335, 103082, 105823, 126557, 123429, 29295, 30591, 42891, 107202, 15024, 104004, 113727, 5486, 115232, 115464, 103031, 16144, 112366, 16144, 109755, 119467, 38641, 9174, 122582, 33035, 27452, 116787, 33541, 198, 127258, 121143, 90727, 1073, 41163, 80805, 22398, 30512, 101545, 44309, 54926, 17792, 127282, 5486, 127749, 30512, 122401, 78434, 13, 220, 122582, 119568, 120577, 109755, 119467, 16144, 113385, 121142, 66378, 23187, 16144, 127749, 38641, 1811, 68759, 123646, 50, 885, 13, 113468, 120270, 102181, 16556, 50520, 111, 43032, 56051, 104466, 5486, 102717, 19732, 124592, 16144, 88356, 102404, 77195, 15682, 5486, 118375, 103, 36827, 103550, 5486, 103309, 56965, 102149, 23039, 71289, 109060, 35086, 233, 73597, 252, 16556, 102131, 13, 114354, 238, 119467, 30512, 101545, 44309, 54926, 113009, 108008, 20230, 118430, 118095, 23039, 30297, 106592, 121507, 83747, 9039, 107407, 29295, 5486, 117032, 5486, 45923, 102803, 66953, 15682, 5486, 88367, 26854, 48249, 31431, 51330, 105933, 127749, 30512, 111098, 105784, 104466, 39926, 72315, 9174, 15120, 24273, 16556, 111476, 68759, 104612, 15682, 112185, 103031, 16144, 109755, 119467, 19732, 102669, 107462, 107515, 11, 45631, 37271, 115408, 15682, 103768, 108436, 54926, 105908, 103082, 107515, 15024, 115408, 16144, 101544, 117539, 51609, 30512, 44416, 48249, 127145, 1811, 122571, 109755, 119467, 30512, 21388, 16995, 5486, 88356, 102802, 108270, 42634, 55031, 105335, 84477, 115515, 107253, 104874, 15024, 5486, 119273, 104680, 20230, 77693, 30512, 72342, 101860, 20230, 101918, 30512, 18655, 30369, 105908, 103082, 105823, 104127, 56051, 1811, 111329, 827, 76771, 223, 15682, 90727, 1073, 41163, 114792, 76947, 115408, 15682, 77693, 30512, 67645, 119775, 101545, 44309, 54926, 105908, 125545, 32149, 95532, 34, 1006, 1246, 15682, 115364, 113009, 103768, 108436, 16144, 109755, 119467, 30512, 101545, 44309, 103792, 106592, 100927, 107290, 124089, 198, 85701, 15682, 5486, 80805, 122842, 71289, 127408, 30512, 90962, 52591, 20230, 118551, 54926, 113009, 108901, 109020, 112113, 30512, 38129, 127145, 5232, 23018, 30512, 51385, 23187, 30813, 19732, 106116, 105933, 122571, 105994, 116907, 16144, 109606, 32977, 103470, 115408, 16144, 113173, 30590, 117084, 91774, 30369, 104309, 124615, 109904, 125456, 20230, 110240, 50834, 33541, 10646, 9174, 80673, 5486, 32335, 32977, 110993, 79982, 26854, 27452, 77181, 5486, 114363, 103722, 46729, 16144, 46034, 120650, 47884, 54926, 67016, 124897, 113637, 13177, 109755, 119467, 16144, 100604, 103768, 108436, 10646, 20230, 21601, 107290, 116898, 47884, 59739, 116421, 90962, 57326, 104272, 115991, 33541, 1811, 102099, 198, 35, 26460, 220, 85701, 15682, 110371, 109755, 119467, 111571, 30512, 101545, 44309, 54926, 124122, 47260, 61398, 30512, 104908, 78434, 11, 118347, 76171, 16144, 103826, 104680, 26854, 103768, 108436, 16144, 104575, 1811, 124773, 123437, 67075, 77181, 5486, 103359, 47523, 16144, 52884, 77750, 71289, 114363, 103722, 109904, 111234, 52884, 116229, 126636, 106045, 54872, 26854, 32977, 59739, 33121, 32977, 110191, 118372, 47260, 61398, 115991, 33541, 1811, 103031, 120577, 43240, 47884, 15682, 47260, 71634, 114792, 103836, 105879, 5486, 111419, 16144, 106529, 33563, 114792, 107462, 104533, 16144, 37689, 91774, 113468, 60868, 121057, 110731, 116245, 16556, 103129, 76622, 30512, 32018, 109315, 106592, 33334, 53508, 100, 62004, 78434, 1811, 128001, 128000, 679, 23, 14, 2371, 14, 1419, 220, 1313, 25, 1032, 198, 86127, 105459, 29295, 16, 117816, 109215, 26854, 53610, 16144, 33857, 109853, 48154, 126362, 78434, 9174, 13177, 16, 117816, 115320, 104004, 125231, 53610, 16144, 33857, 10646, 15682, 5486, 103350, 15682, 13177, 16, 117816, 33014, 55031, 20834, 100481, 47884, 53610, 16144, 33857, 10646, 114556, 108826, 127145, 9174, 20834, 38144, 23039, 76947, 114732, 105879, 111983, 105843, 103801, 109954, 5486, 102677, 117735, 38641, 9174, 37271, 18904, 15682, 111476, 61056, 20834, 33857, 19732, 99046, 224, 18655, 33857, 16144, 116690, 30512, 32977, 19732, 20230, 16, 117816, 109215, 26854, 53610, 16144, 33857, 30512, 50338, 108323, 78434, 9174, 567, 220, 16, 117816, 109215, 26854, 53610, 16144, 33857, 15682, 11571, 9080, 119400, 55031, 115320, 104004, 125231, 53610, 16144, 33857, 30512, 48154, 126362, 78434, 9174, 14711, 220, 16, 117816, 33014, 55031, 61056, 20834, 107001, 53610, 198, 16, 117816, 109215, 26854, 53610, 16144, 33857, 15682, 5486, 16, 117816, 33014, 55031, 61056, 20834, 107001, 53610, 16144, 33857, 55031, 113727, 100481, 47884, 109215, 115991, 33541, 9174, 126843, 111476, 16, 117816, 102362, 56965, 29295, 33014, 48915, 20230, 61056, 20834, 54926, 53610, 16144, 33857, 15682, 25963, 37823, 67075, 33710, 21909, 34617, 37823, 67075, 33710, 114318, 117952, 106824, 33541, 109807, 107707, 33014, 30358, 71289, 33014, 25287, 113468, 32977, 108901, 109020, 105879, 5486, 126843, 15682, 51330, 13177, 25963, 37823, 67075, 33710, 55031, 34617, 37823, 67075, 114615, 56965, 66383, 95604, 9039, 112603, 30512, 112854, 107290, 33334, 50834, 17129, 109954, 9174, 58426, 32943, 117735, 15682, 5486, 126017, 71289, 102924, 103306, 16, 21909, 17, 37823, 67075, 33710, 1811, 123529, 71289, 105324, 107246, 5486, 80539, 105994, 77181, 95221, 109669, 126660, 105871, 104735, 248, 117758, 103858, 116, 102404, 10110, 103858, 116, 14888, 226, 19732, 78244, 61689, 7705, 16556, 16, 37823, 67075, 33710, 113637, 105871, 104735, 248, 117758, 103858, 116, 102404, 15682, 5486, 105140, 16144, 88399, 239, 16995, 9080, 104309, 15682, 122333, 16144, 123529, 119707, 47884, 103846, 19, 37823, 67075, 33710, 71689, 20230, 104067, 54926, 115789, 57903, 33541, 9174, 26854, 105879, 36896, 16, 9080, 25963, 21909, 34617, 37823, 67075, 33710, 126557, 105140, 104309, 15682, 44597, 37823, 67075, 33710, 25580, 123470, 53610, 29295, 33014, 55031, 61056, 20834, 110731, 5486, 102677, 106592, 126843, 114140, 116216, 72315, 9174, 14711, 220, 16, 117816, 99046, 224, 18655, 17663, 125231, 53610, 198, 20834, 100481, 47884, 102944, 15682, 111983, 105843, 54926, 109215, 115991, 33541, 1811, 59739, 109709, 111476, 114516, 29295, 121410, 117073, 113614, 30512, 109205, 69978, 54926, 103846, 102052, 5486, 61056, 20834, 107001, 16144, 19732, 112361, 33857, 16144, 53610, 30512, 99046, 224, 18655, 54926, 109215, 107407, 102677, 100909, 38641, 9174, 107118, 16995, 58942, 5486, 114516, 15682, 115320, 64121, 53953, 121142, 53610, 17620, 30512, 99046, 224, 30369, 113334, 77181, 124897, 1811, 125389, 103854, 53953, 55031, 32977, 121410, 9080, 15, 13, 21, 37823, 67075, 33710, 25580, 123470, 53610, 17620, 30512, 99046, 224, 18655, 78434, 15024, 5486, 33014, 32943, 16556, 47307, 115695, 29220, 105284, 71289, 121496, 57942, 103, 29295, 100845, 113, 72238, 113468, 17620, 50338, 84389, 104533, 50834, 20230, 106966, 106518, 53953, 103306, 17620, 14888, 234, 107001, 53610, 29295, 15, 13, 17, 37823, 67075, 33710, 120264, 101182, 105879, 5486, 115320, 64121, 53953, 55031, 99046, 224, 18655, 54926, 53610, 17620, 15682, 198, 20713, 9080, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 29295, 30832, 51385, 121711, 33541, 1811, 43444, 90581, 7705, 16, 117073, 61056, 20834, 33857, 25963, 21909, 34617, 37823, 67075, 33710, 43444, 121409, 7705, 125764, 53953, 71289, 17620, 50338, 17620, 14888, 234, 111848, 99046, 224, 18655, 33857, 15, 13, 23, 37823, 67075, 33710, 63923, 251, 220, 16, 117816, 115320, 104004, 125231, 53610, 16144, 33857, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 198, 102677, 117735, 38641, 9174, 16995, 101860, 33121, 116446, 32977, 110371, 198, 13177, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 66383, 95604, 9039, 112603, 15682, 30832, 51385, 103306, 112854, 107290, 33334, 102532, 72315, 101832, 9174, 14711, 47702, 240, 20834, 33857, 19732, 99046, 224, 18655, 33857, 16144, 66953, 119930, 29295, 103553, 102, 104028, 19732, 82530, 111476, 51330, 99046, 224, 18655, 33857, 19732, 61056, 20834, 33857, 16144, 66953, 119930, 29295, 47884, 101860, 104028, 19732, 5486, 33014, 20230, 118969, 75694, 17129, 26854, 111571, 103397, 29295, 16556, 38144, 50834, 33541, 9174, 114516, 15682, 33014, 123727, 198, 17, 80805, 38248, 119, 52414, 16144, 53610, 29295, 127242, 56051, 121142, 110645, 53610, 111571, 103397, 29295, 27704, 109709, 111476, 220, 23, 80805, 38248, 119, 52414, 16144, 53610, 29295, 127242, 112990, 105324, 107246, 110482, 111108, 30512, 125119, 15024, 111476, 220, 717, 80805, 38248, 119, 52414, 16144, 53610, 29295, 127242, 112990, 21990, 102625, 16144, 103496, 30512, 118969, 101200, 198, 19732, 117952, 106824, 61689, 9174, 95543, 103359, 20230, 103188, 21403, 108, 20230, 99046, 224, 18655, 56051, 107803, 32977, 32943, 26274, 241, 20230, 109972, 106529, 29295, 32149, 107277, 5486, 33420, 33208, 16937, 103424, 30512, 125119, 56051, 31431, 33014, 29295, 36785, 30369, 115737, 100472, 31431, 54926, 105908, 101182, 105879, 61633, 29295, 109215, 38641, 9174, 32977, 43514, 85791, 25827, 5486, 117401, 71289, 124011, 109089, 104309, 16556, 123529, 30512, 89753, 56051, 39177, 15682, 58426, 17620, 103378, 53610, 17620, 111983, 110698, 123410, 109215, 107407, 105879, 15120, 107963, 20230, 53610, 30512, 108167, 120195, 104533, 103424, 47884, 100604, 102677, 100909, 77181, 124897, 1811, 106773, 26269, 71493, 38248, 226, 68759, 32131, 118901, 104309, 89046, 106307, 39926, 23039, 30297, 117401, 71289, 5486, 60868, 65299, 96452, 71289, 33334, 104346, 17857, 224, 20230, 101544, 82973, 17701, 76947, 122333, 16144, 123529, 119707, 102334, 74482, 15682, 5486, 53610, 17620, 111983, 110698, 15682, 115924, 103359, 20230, 109215, 38641, 9174, 123529, 119707, 126145, 101198, 102750, 32131, 33710, 32977, 33014, 55031, 61056, 20834, 84389, 33541, 1811, 124011, 109089, 45923, 116974, 72661, 101198, 102750, 32131, 33710, 15682, 99046, 224, 18655, 125545, 29295, 5486, 9080, 40053, 109904, 111983, 110698, 102052, 117587, 17620, 30512, 96412, 17129, 100604, 101198, 102750, 32131, 33710, 124981, 120770, 119279, 125683, 62004, 38641, 9174, 567, 220, 123011, 62004, 198, 16, 117816, 109215, 26854, 53610, 16144, 33857, 15682, 11571, 9080, 119400, 55031, 115320, 104004, 125231, 53610, 16144, 33857, 198, 86127, 105459, 29295, 16, 117816, 109215, 26854, 53610, 16144, 33857, 109853, 48154, 126362, 39926, 50834, 79721, 9174, 17792, 112212, 33014, 30358, 71289, 33014, 83799, 29295, 108901, 26854, 31431, 33541, 29295, 111476, 123782, 9554, 30832, 51385, 103306, 13177, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 66383, 95604, 104468, 112854, 107290, 33334, 102532, 72315, 9174, 58426, 114667, 15682, 5486, 16, 117816, 33014, 55031, 20834, 100481, 47884, 53610, 16144, 33857, 114556, 108826, 107113, 116233, 101832, 9174, 10110, 90581, 7705, 16, 117073, 61056, 20834, 33857, 25963, 21909, 34617, 37823, 67075, 33710, 43444, 121409, 7705, 125764, 53953, 71289, 17620, 50338, 17620, 14888, 234, 111848, 99046, 224, 18655, 33857, 15, 13, 23, 37823, 67075, 33710, 63923, 251, 16, 117816, 115320, 104004, 125231, 53610, 16144, 33857, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 25580, 74482, 198, 51330, 99046, 224, 18655, 33857, 19732, 61056, 20834, 33857, 16144, 66953, 119930, 29295, 47884, 101860, 104028, 19732, 5486, 33014, 20230, 118969, 75694, 17129, 26854, 111571, 103397, 29295, 16556, 38144, 50834, 33541, 105879, 5486, 61633, 116216, 72315, 9174, 117401, 104309, 16556, 123529, 119707, 102334, 30591, 107118, 124011, 109089, 45923, 116974, 104309, 32977, 104712, 119627, 5486, 9080, 40053, 109904, 111983, 110698, 102052, 117587, 17620, 30512, 96412, 17129, 100604, 101198, 102750, 32131, 33710, 124981, 120770, 119279, 125683, 62004, 38641, 1811, 128001, 128000, 97518, 107792, 37823, 65299, 68759, 78459, 15682, 5486, 33014, 16325, 16144, 103826, 104680, 26854, 97518, 107792, 29295, 110020, 34171, 16144, 114052, 111571, 30512, 125119, 39926, 101921, 104, 106824, 108631, 104004, 103429, 95221, 38641, 1811, 116748, 112990, 97518, 107792, 29295, 104721, 83799, 15024, 121432, 108502, 104698, 30512, 125119, 78434, 9174, 37271, 18904, 15682, 37823, 65299, 68759, 78459, 30512, 39442, 61994, 20230, 103856, 23538, 102404, 91774, 54926, 124122, 46702, 118821, 198, 85707, 23538, 111571, 103397, 19732, 103359, 117120, 41007, 5486, 220, 103911, 103181, 41007, 126130, 108044, 58942, 78434, 9174, 30832, 33671, 198, 567, 220, 34617, 17620, 116696, 48552, 6447, 37823, 65299, 68759, 78459, 16144, 46702, 118821, 85707, 23538, 111571, 103397, 198, 14711, 220, 20713, 7705, 37823, 65299, 68759, 78459, 16144, 46702, 118821, 85707, 23538, 111571, 103397, 198, 97518, 107792, 37823, 65299, 68759, 78459, 107118, 5486, 33014, 16325, 16144, 97518, 107792, 29295, 114052, 111571, 30512, 125119, 39926, 101921, 104, 106824, 108631, 104004, 103429, 95221, 38641, 1811, 71005, 109519, 30512, 72342, 101860, 20230, 54322, 22324, 39926, 103429, 116499, 116748, 112990, 122279, 110135, 71289, 110135, 29295, 105150, 127258, 116216, 97518, 107792, 29295, 104721, 83799, 15024, 5486, 121432, 108502, 104698, 30512, 125119, 78434, 9174, 102456, 111654, 29295, 103470, 109020, 5486, 50034, 107969, 29295, 106307, 119188, 5486, 33014, 30358, 29295, 114485, 83747, 5486, 33014, 29295, 36785, 30369, 117714, 105933, 104721, 33208, 107407, 110018, 5486, 9080, 40053 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25197, 64178, 16144, 74482, 85791, 20230, 115181, 54926, 105908, 125545, 29295, 5486, 112185, 57903, 33541, 198, 80805, 122842, 125334, 102321, 54926, 66378, 23187, 16144, 127749, 13, 83639, 85707, 15682, 21388, 123671, 33541, 5232, 16, 15682, 5486, 23897, 112772, 112832, 32149, 19732, 23039, 76947, 108149, 112568, 15682, 112854, 58942, 126386, 104412, 123410, 109335, 103082, 107515, 1811, 330, 358, 124490, 75267, 54926, 117475, 16144, 109755, 119467, 114792, 76947, 115408, 15682, 89154, 115332, 30512, 98499, 64121, 18655, 30369, 100909, 113468, 115408, 16144, 84851, 108867, 30512, 124490, 75267, 15024, 5486, 56965, 108010, 100472, 122902, 30512, 20834, 38144, 5486, 74482, 114941, 31431, 126557, 51330, 105933, 114667, 55031, 108149, 26854, 90620, 76622, 77181, 108008, 20230, 101544, 16995, 120523, 117824, 30297, 109335, 103082, 107515, 9174, 76171, 29220, 33710, 65575, 198, 35086, 233, 73597, 252, 32977, 127408, 126694, 13153, 78434, 1811, 11, 45631, 112772, 103130, 104004, 105908, 118765, 102677, 16144, 119962, 32938, 109755, 119467, 111571, 16144, 109755, 85791, 102800, 99750, 112854, 5486, 126557, 122270, 111925, 23538, 20251, 100560, 235, 33710, 13177, 122571, 68759, 45923, 37823, 105404, 20230, 101987, 104127, 16995, 104533, 122571, 44, 966, 16144, 20251, 100560, 235, 114615, 16, 20230, 50928, 28713, 105908, 124897, 115408, 15682, 101918, 20230, 107991, 107803, 5486, 112832, 32149, 29295, 47406, 35287, 54926, 109335, 103082, 105823, 126557, 123429, 29295, 30591, 42891, 107202, 15024, 104004, 113727, 5486, 115232, 115464, 103031, 16144, 112366, 16144, 109755, 119467, 38641, 9174, 122582, 33035, 27452, 116787, 33541, 198, 127258, 121143, 90727, 1073, 41163, 80805, 22398, 30512, 101545, 44309, 54926, 17792, 127282, 5486, 127749, 30512, 122401, 78434, 13, 220, 122582, 119568, 120577, 109755, 119467, 16144, 113385, 121142, 66378, 23187, 16144, 127749, 38641, 1811, 68759, 123646, 50, 885, 13, 113468, 120270, 102181, 16556, 50520, 111, 43032, 56051, 104466, 5486, 102717, 19732, 124592, 16144, 88356, 102404, 77195, 15682, 5486, 118375, 103, 36827, 103550, 5486, 103309, 56965, 102149, 23039, 71289, 109060, 35086, 233, 73597, 252, 16556, 102131, 13, 114354, 238, 119467, 30512, 101545, 44309, 54926, 113009, 108008, 20230, 118430, 118095, 23039, 30297, 106592, 121507, 83747, 9039, 107407, 29295, 5486, 117032, 5486, 45923, 102803, 66953, 15682, 5486, 88367, 26854, 48249, 31431, 51330, 105933, 127749, 30512, 111098, 105784, 104466, 39926, 72315, 9174, 15120, 24273, 16556, 111476, 68759, 104612, 15682, 112185, 103031, 16144, 109755, 119467, 19732, 102669, 107462, 107515, 11, 45631, 37271, 115408, 15682, 103768, 108436, 54926, 105908, 103082, 107515, 15024, 115408, 16144, 101544, 117539, 51609, 30512, 44416, 48249, 127145, 1811, 122571, 109755, 119467, 30512, 21388, 16995, 5486, 88356, 102802, 108270, 42634, 55031, 105335, 84477, 115515, 107253, 104874, 15024, 5486, 119273, 104680, 20230, 77693, 30512, 72342, 101860, 20230, 101918, 30512, 18655, 30369, 105908, 103082, 105823, 104127, 56051, 1811, 111329, 827, 76771, 223, 15682, 90727, 1073, 41163, 114792, 76947, 115408, 15682, 77693, 30512, 67645, 119775, 101545, 44309, 54926, 105908, 125545, 32149, 95532, 34, 1006, 1246, 15682, 115364, 113009, 103768, 108436, 16144, 109755, 119467, 30512, 101545, 44309, 103792, 106592, 100927, 107290, 124089, 198, 85701, 15682, 5486, 80805, 122842, 71289, 127408, 30512, 90962, 52591, 20230, 118551, 54926, 113009, 108901, 109020, 112113, 30512, 38129, 127145, 5232, 23018, 30512, 51385, 23187, 30813, 19732, 106116, 105933, 122571, 105994, 116907, 16144, 109606, 32977, 103470, 115408, 16144, 113173, 30590, 117084, 91774, 30369, 104309, 124615, 109904, 125456, 20230, 110240, 50834, 33541, 10646, 9174, 80673, 5486, 32335, 32977, 110993, 79982, 26854, 27452, 77181, 5486, 114363, 103722, 46729, 16144, 46034, 120650, 47884, 54926, 67016, 124897, 113637, 13177, 109755, 119467, 16144, 100604, 103768, 108436, 10646, 20230, 21601, 107290, 116898, 47884, 59739, 116421, 90962, 57326, 104272, 115991, 33541, 1811, 102099, 198, 35, 26460, 220, 85701, 15682, 110371, 109755, 119467, 111571, 30512, 101545, 44309, 54926, 124122, 47260, 61398, 30512, 104908, 78434, 11, 118347, 76171, 16144, 103826, 104680, 26854, 103768, 108436, 16144, 104575, 1811, 124773, 123437, 67075, 77181, 5486, 103359, 47523, 16144, 52884, 77750, 71289, 114363, 103722, 109904, 111234, 52884, 116229, 126636, 106045, 54872, 26854, 32977, 59739, 33121, 32977, 110191, 118372, 47260, 61398, 115991, 33541, 1811, 103031, 120577, 43240, 47884, 15682, 47260, 71634, 114792, 103836, 105879, 5486, 111419, 16144, 106529, 33563, 114792, 107462, 104533, 16144, 37689, 91774, 113468, 60868, 121057, 110731, 116245, 16556, 103129, 76622, 30512, 32018, 109315, 106592, 33334, 53508, 100, 62004, 78434, 1811, 128001, 128000, 679, 23, 14, 2371, 14, 1419, 220, 1313, 25, 1032, 198, 86127, 105459, 29295, 16, 117816, 109215, 26854, 53610, 16144, 33857, 109853, 48154, 126362, 78434, 9174, 13177, 16, 117816, 115320, 104004, 125231, 53610, 16144, 33857, 10646, 15682, 5486, 103350, 15682, 13177, 16, 117816, 33014, 55031, 20834, 100481, 47884, 53610, 16144, 33857, 10646, 114556, 108826, 127145, 9174, 20834, 38144, 23039, 76947, 114732, 105879, 111983, 105843, 103801, 109954, 5486, 102677, 117735, 38641, 9174, 37271, 18904, 15682, 111476, 61056, 20834, 33857, 19732, 99046, 224, 18655, 33857, 16144, 116690, 30512, 32977, 19732, 20230, 16, 117816, 109215, 26854, 53610, 16144, 33857, 30512, 50338, 108323, 78434, 9174, 567, 220, 16, 117816, 109215, 26854, 53610, 16144, 33857, 15682, 11571, 9080, 119400, 55031, 115320, 104004, 125231, 53610, 16144, 33857, 30512, 48154, 126362, 78434, 9174, 14711, 220, 16, 117816, 33014, 55031, 61056, 20834, 107001, 53610, 198, 16, 117816, 109215, 26854, 53610, 16144, 33857, 15682, 5486, 16, 117816, 33014, 55031, 61056, 20834, 107001, 53610, 16144, 33857, 55031, 113727, 100481, 47884, 109215, 115991, 33541, 9174, 126843, 111476, 16, 117816, 102362, 56965, 29295, 33014, 48915, 20230, 61056, 20834, 54926, 53610, 16144, 33857, 15682, 25963, 37823, 67075, 33710, 21909, 34617, 37823, 67075, 33710, 114318, 117952, 106824, 33541, 109807, 107707, 33014, 30358, 71289, 33014, 25287, 113468, 32977, 108901, 109020, 105879, 5486, 126843, 15682, 51330, 13177, 25963, 37823, 67075, 33710, 55031, 34617, 37823, 67075, 114615, 56965, 66383, 95604, 9039, 112603, 30512, 112854, 107290, 33334, 50834, 17129, 109954, 9174, 58426, 32943, 117735, 15682, 5486, 126017, 71289, 102924, 103306, 16, 21909, 17, 37823, 67075, 33710, 1811, 123529, 71289, 105324, 107246, 5486, 80539, 105994, 77181, 95221, 109669, 126660, 105871, 104735, 248, 117758, 103858, 116, 102404, 10110, 103858, 116, 14888, 226, 19732, 78244, 61689, 7705, 16556, 16, 37823, 67075, 33710, 113637, 105871, 104735, 248, 117758, 103858, 116, 102404, 15682, 5486, 105140, 16144, 88399, 239, 16995, 9080, 104309, 15682, 122333, 16144, 123529, 119707, 47884, 103846, 19, 37823, 67075, 33710, 71689, 20230, 104067, 54926, 115789, 57903, 33541, 9174, 26854, 105879, 36896, 16, 9080, 25963, 21909, 34617, 37823, 67075, 33710, 126557, 105140, 104309, 15682, 44597, 37823, 67075, 33710, 25580, 123470, 53610, 29295, 33014, 55031, 61056, 20834, 110731, 5486, 102677, 106592, 126843, 114140, 116216, 72315, 9174, 14711, 220, 16, 117816, 99046, 224, 18655, 17663, 125231, 53610, 198, 20834, 100481, 47884, 102944, 15682, 111983, 105843, 54926, 109215, 115991, 33541, 1811, 59739, 109709, 111476, 114516, 29295, 121410, 117073, 113614, 30512, 109205, 69978, 54926, 103846, 102052, 5486, 61056, 20834, 107001, 16144, 19732, 112361, 33857, 16144, 53610, 30512, 99046, 224, 18655, 54926, 109215, 107407, 102677, 100909, 38641, 9174, 107118, 16995, 58942, 5486, 114516, 15682, 115320, 64121, 53953, 121142, 53610, 17620, 30512, 99046, 224, 30369, 113334, 77181, 124897, 1811, 125389, 103854, 53953, 55031, 32977, 121410, 9080, 15, 13, 21, 37823, 67075, 33710, 25580, 123470, 53610, 17620, 30512, 99046, 224, 18655, 78434, 15024, 5486, 33014, 32943, 16556, 47307, 115695, 29220, 105284, 71289, 121496, 57942, 103, 29295, 100845, 113, 72238, 113468, 17620, 50338, 84389, 104533, 50834, 20230, 106966, 106518, 53953, 103306, 17620, 14888, 234, 107001, 53610, 29295, 15, 13, 17, 37823, 67075, 33710, 120264, 101182, 105879, 5486, 115320, 64121, 53953, 55031, 99046, 224, 18655, 54926, 53610, 17620, 15682, 198, 20713, 9080, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 29295, 30832, 51385, 121711, 33541, 1811, 43444, 90581, 7705, 16, 117073, 61056, 20834, 33857, 25963, 21909, 34617, 37823, 67075, 33710, 43444, 121409, 7705, 125764, 53953, 71289, 17620, 50338, 17620, 14888, 234, 111848, 99046, 224, 18655, 33857, 15, 13, 23, 37823, 67075, 33710, 63923, 251, 220, 16, 117816, 115320, 104004, 125231, 53610, 16144, 33857, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 198, 102677, 117735, 38641, 9174, 16995, 101860, 33121, 116446, 32977, 110371, 198, 13177, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 66383, 95604, 9039, 112603, 15682, 30832, 51385, 103306, 112854, 107290, 33334, 102532, 72315, 101832, 9174, 14711, 47702, 240, 20834, 33857, 19732, 99046, 224, 18655, 33857, 16144, 66953, 119930, 29295, 103553, 102, 104028, 19732, 82530, 111476, 51330, 99046, 224, 18655, 33857, 19732, 61056, 20834, 33857, 16144, 66953, 119930, 29295, 47884, 101860, 104028, 19732, 5486, 33014, 20230, 118969, 75694, 17129, 26854, 111571, 103397, 29295, 16556, 38144, 50834, 33541, 9174, 114516, 15682, 33014, 123727, 198, 17, 80805, 38248, 119, 52414, 16144, 53610, 29295, 127242, 56051, 121142, 110645, 53610, 111571, 103397, 29295, 27704, 109709, 111476, 220, 23, 80805, 38248, 119, 52414, 16144, 53610, 29295, 127242, 112990, 105324, 107246, 110482, 111108, 30512, 125119, 15024, 111476, 220, 717, 80805, 38248, 119, 52414, 16144, 53610, 29295, 127242, 112990, 21990, 102625, 16144, 103496, 30512, 118969, 101200, 198, 19732, 117952, 106824, 61689, 9174, 95543, 103359, 20230, 103188, 21403, 108, 20230, 99046, 224, 18655, 56051, 107803, 32977, 32943, 26274, 241, 20230, 109972, 106529, 29295, 32149, 107277, 5486, 33420, 33208, 16937, 103424, 30512, 125119, 56051, 31431, 33014, 29295, 36785, 30369, 115737, 100472, 31431, 54926, 105908, 101182, 105879, 61633, 29295, 109215, 38641, 9174, 32977, 43514, 85791, 25827, 5486, 117401, 71289, 124011, 109089, 104309, 16556, 123529, 30512, 89753, 56051, 39177, 15682, 58426, 17620, 103378, 53610, 17620, 111983, 110698, 123410, 109215, 107407, 105879, 15120, 107963, 20230, 53610, 30512, 108167, 120195, 104533, 103424, 47884, 100604, 102677, 100909, 77181, 124897, 1811, 106773, 26269, 71493, 38248, 226, 68759, 32131, 118901, 104309, 89046, 106307, 39926, 23039, 30297, 117401, 71289, 5486, 60868, 65299, 96452, 71289, 33334, 104346, 17857, 224, 20230, 101544, 82973, 17701, 76947, 122333, 16144, 123529, 119707, 102334, 74482, 15682, 5486, 53610, 17620, 111983, 110698, 15682, 115924, 103359, 20230, 109215, 38641, 9174, 123529, 119707, 126145, 101198, 102750, 32131, 33710, 32977, 33014, 55031, 61056, 20834, 84389, 33541, 1811, 124011, 109089, 45923, 116974, 72661, 101198, 102750, 32131, 33710, 15682, 99046, 224, 18655, 125545, 29295, 5486, 9080, 40053, 109904, 111983, 110698, 102052, 117587, 17620, 30512, 96412, 17129, 100604, 101198, 102750, 32131, 33710, 124981, 120770, 119279, 125683, 62004, 38641, 9174, 567, 220, 123011, 62004, 198, 16, 117816, 109215, 26854, 53610, 16144, 33857, 15682, 11571, 9080, 119400, 55031, 115320, 104004, 125231, 53610, 16144, 33857, 198, 86127, 105459, 29295, 16, 117816, 109215, 26854, 53610, 16144, 33857, 109853, 48154, 126362, 39926, 50834, 79721, 9174, 17792, 112212, 33014, 30358, 71289, 33014, 83799, 29295, 108901, 26854, 31431, 33541, 29295, 111476, 123782, 9554, 30832, 51385, 103306, 13177, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 66383, 95604, 104468, 112854, 107290, 33334, 102532, 72315, 9174, 58426, 114667, 15682, 5486, 16, 117816, 33014, 55031, 20834, 100481, 47884, 53610, 16144, 33857, 114556, 108826, 107113, 116233, 101832, 9174, 10110, 90581, 7705, 16, 117073, 61056, 20834, 33857, 25963, 21909, 34617, 37823, 67075, 33710, 43444, 121409, 7705, 125764, 53953, 71289, 17620, 50338, 17620, 14888, 234, 111848, 99046, 224, 18655, 33857, 15, 13, 23, 37823, 67075, 33710, 63923, 251, 16, 117816, 115320, 104004, 125231, 53610, 16144, 33857, 20713, 21909, 16, 13, 20, 37823, 67075, 33710, 25580, 74482, 198, 51330, 99046, 224, 18655, 33857, 19732, 61056, 20834, 33857, 16144, 66953, 119930, 29295, 47884, 101860, 104028, 19732, 5486, 33014, 20230, 118969, 75694, 17129, 26854, 111571, 103397, 29295, 16556, 38144, 50834, 33541, 105879, 5486, 61633, 116216, 72315, 9174, 117401, 104309, 16556, 123529, 119707, 102334, 30591, 107118, 124011, 109089, 45923, 116974, 104309, 32977, 104712, 119627, 5486, 9080, 40053, 109904, 111983, 110698, 102052, 117587, 17620, 30512, 96412, 17129, 100604, 101198, 102750, 32131, 33710, 124981, 120770, 119279, 125683, 62004, 38641, 1811, 128001, 128000, 97518, 107792, 37823, 65299, 68759, 78459, 15682, 5486, 33014, 16325, 16144, 103826, 104680, 26854, 97518, 107792, 29295, 110020, 34171, 16144, 114052, 111571, 30512, 125119, 39926, 101921, 104, 106824, 108631, 104004, 103429, 95221, 38641, 1811, 116748, 112990, 97518, 107792, 29295, 104721, 83799, 15024, 121432, 108502, 104698, 30512, 125119, 78434, 9174, 37271, 18904, 15682, 37823, 65299, 68759, 78459, 30512, 39442, 61994, 20230, 103856, 23538, 102404, 91774, 54926, 124122, 46702, 118821, 198, 85707, 23538, 111571, 103397, 19732, 103359, 117120, 41007, 5486, 220, 103911, 103181, 41007, 126130, 108044, 58942, 78434, 9174, 30832, 33671, 198, 567, 220, 34617, 17620, 116696, 48552, 6447, 37823, 65299, 68759, 78459, 16144, 46702, 118821, 85707, 23538, 111571, 103397, 198, 14711, 220, 20713, 7705, 37823, 65299, 68759, 78459, 16144, 46702, 118821, 85707, 23538, 111571, 103397, 198, 97518, 107792, 37823, 65299, 68759, 78459, 107118, 5486, 33014, 16325, 16144, 97518, 107792, 29295, 114052, 111571, 30512, 125119, 39926, 101921, 104, 106824, 108631, 104004, 103429, 95221, 38641, 1811, 71005, 109519, 30512, 72342, 101860, 20230, 54322, 22324, 39926, 103429, 116499, 116748, 112990, 122279, 110135, 71289, 110135, 29295, 105150, 127258, 116216, 97518, 107792, 29295, 104721, 83799, 15024, 5486, 121432, 108502, 104698, 30512, 125119, 78434, 9174, 102456, 111654, 29295, 103470, 109020, 5486, 50034, 107969, 29295, 106307, 119188, 5486, 33014, 30358, 29295, 114485, 83747, 5486, 33014, 29295, 36785, 30369, 117714, 105933, 104721, 33208, 107407, 110018, 5486, 9080, 40053 ]
[ 16144, 127814, 33121, 5486, 71634, 108744, 71289, 104346, 123296, 16144, 72342, 119178, 21105, 234, 43514, 38641, 9174, 80673, 115847, 120577, 111571, 103397, 15682, 5486, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 25580, 6708, 228, 111571, 103397, 102677, 105908, 57903, 33541, 113637, 105933, 104721, 33208, 120938, 33671, 120950, 121894, 20230, 14309, 98, 30369, 126513, 5486, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 107750, 16995, 29295, 127919, 112950, 121711, 33541, 9174, 10110, 20713, 7705, 103293, 16144, 22957, 78183, 81219, 31431, 198, 72718, 107918, 39177, 5486, 97518, 107792, 30512, 91875, 123772, 111108, 16995, 112391, 29295, 868, 17620, 71689, 57903, 106116, 121894, 29295, 16, 111299, 56965, 71689, 106307, 119188, 9174, 10110, 25963, 7705, 46034, 64467, 5486, 102780, 64467, 97518, 107792, 16144, 101921, 104, 33121, 198, 46034, 64467, 5486, 46034, 61075, 16144, 97518, 107792, 125845, 5486, 102780, 64467, 5486, 102780, 61075, 16144, 97518, 107792, 16144, 101921, 104, 33121, 29295, 20713, 111299, 56965, 71689, 106307, 119188, 9174, 10110, 34617, 7705, 118396, 103359, 25666, 16144, 97518, 107792, 16144, 101921, 104, 33121, 198, 118396, 103359, 25666, 20230, 112361, 105494, 16144, 97518, 107792, 29295, 101921, 104, 115032, 109807, 121894, 29295, 16, 111299, 56965, 71689, 106307, 119188, 9174, 10110, 46702, 7705, 34617, 59739, 71689, 16144, 97518, 107792, 16144, 104721, 33208, 198, 34617, 2845, 113, 32938, 71689, 16144, 97518, 107792, 29295, 101921, 104, 115032, 109807, 121894, 29295, 5486, 20713, 111299, 56965, 71689, 106307, 119188, 9174, 51330, 105933, 121894, 110276, 126513, 5486, 109440, 30297, 100909, 103470, 122412, 16556, 114363, 103722, 103242, 16144, 120761, 105085, 114475, 76622, 103470, 38144, 15682, 26854, 31431, 107515, 124845, 109431, 102769, 26854, 71005, 109519, 30512, 103856, 23538, 20230, 101682, 76622, 123207, 26854, 31431, 107515, 9174, 14711, 220, 25963, 7705, 37823, 65299, 68759, 78459, 107809, 23538, 9458, 106968, 23538, 16144, 111571, 103397, 198, 10110, 20713, 7705, 37823, 65299, 68759, 78459, 107809, 23538, 16144, 111571, 103397, 198, 85707, 23538, 16144, 37823, 65299, 68759, 78459, 15682, 5486, 97518, 107792, 16144, 32943, 110366, 30512, 117633, 30297, 110135, 115716, 29295, 114052, 111571, 30512, 125119, 39926, 101921, 104, 33121, 30591, 29295, 31431, 33541, 1811, 97518, 107792, 37087, 33014, 29295, 101921, 104, 104028, 107803, 32977, 57903, 33541, 9174, 58426, 74482, 121270, 23538, 101983, 104533, 110135, 115716, 16144, 104398, 112506, 29295, 115079, 125131, 15024, 5486, 107079, 45951, 121, 30512, 115376, 78434, 109900, 29295, 122279, 110135, 16144, 21405, 28190, 30512, 117633, 61689, 9174, 58426, 107079, 45951, 121, 113468, 122279, 110135, 29295, 105150, 127258, 116216, 33420, 21388, 78434, 9174, 10110, 25963, 7705, 37823, 65299, 68759, 78459, 16144, 106968, 23538, 16144, 111571, 103397, 198, 106968, 23538, 20230, 60358, 109669, 126145, 20230, 107079, 45951, 121, 15682, 5486, 110135, 20230, 117976, 102456, 15024, 110898, 103397, 16144, 115833, 95, 112506, 30512, 115376, 78434, 1811, 106968, 23538, 55031, 118448, 25766, 225, 23538, 101983, 111842, 97518, 107792, 16144, 110135, 16144, 105150, 127258, 29295, 103130, 64121, 110135, 19732, 110135, 29295, 47884, 42891, 59739, 102334, 31431, 5486, 110135, 29295, 122026, 107441, 106627, 106824, 104369, 33503, 104369, 33503, 110276, 31431, 78434, 9174, 14711, 220, 34617, 7705, 37823, 65299, 68759, 78459, 16144, 36668, 26854, 25963, 118821, 113385, 198, 37823, 65299, 68759, 78459, 107118, 5486, 102099, 103048, 115075, 116436, 111694, 112028, 59739, 38641, 9174, 102099, 103048, 115075, 116436, 111694, 107118, 5486, 117032, 104398, 115686, 71289, 65299, 106696, 22398, 123160, 48915, 114737, 103195, 108324, 33014, 113115, 39926, 121551, 54926, 103048, 115075, 104398, 112506, 29295, 125144, 76947, 37026, 120577, 121606, 30512, 114737, 103306, 64121, 26854, 39926, 121551, 54926, 100909, 113468, 114052, 111571, 29295, 125119, 31431, 33541, 9174, 114950, 105352, 102099, 103048, 115075, 116436, 111694, 15682, 57903, 33541, 29295, 106116, 16325, 16556, 97518, 107792, 117083, 113764, 115716, 20230, 114052, 111571, 30512, 125119, 17663, 102944, 30512, 97518, 107792, 37823, 65299, 68759, 78459, 121711, 33541, 9174, 113385, 103306, 15682, 5486, 102099, 103048, 115075, 121432, 16937, 37087, 126529, 119627, 5486, 119045, 109904, 113385, 15682, 5486, 106053, 31958, 109768, 107515, 9174, 102099, 103048, 115075, 116436, 111694, 103195, 97518, 107792, 37823, 65299, 68759, 78459, 15682, 5486, 59739, 105557, 120950, 31634, 63212, 113468, 102404, 111571, 112990, 113727, 124195, 61689, 9174, 10110, 20713, 7705, 115514, 108044, 9554, 113385, 198, 97518, 107792, 37823, 65299, 68759, 78459, 15682, 115514, 108044, 109904, 103429, 95221, 77181, 124897, 119520, 117864, 47884, 43568, 116690, 107173, 78244, 58942, 107515, 1811, 26854, 31431, 126172, 16995, 33014, 105284, 71289, 72238, 63212, 114475, 76622, 120321, 104699, 109335, 57903, 33541, 9174, 112361, 115514, 108044, 109904, 31634, 63212, 30512, 32977, 59739, 15120, 11239, 113, 34171, 104836, 21990, 116581, 16144, 107803, 5486, 122558, 107173, 97518, 107792, 37823, 65299, 68759, 78459, 108176, 125396, 15682, 25963, 46702, 113127, 113314, 19732, 117952, 106824, 61689, 9174, 10110, 25963, 7705, 117501, 9554, 113385, 198, 117501, 109904, 31634, 63212, 103306, 15682, 5486, 33671, 16144, 102944, 115991, 33541, 1811, 126843, 111482, 103927, 33710, 124373, 38641, 1811, 111482, 103927, 33710, 124373, 15682, 5486, 102099, 108324, 33014, 16144, 122502, 50834, 5486, 103048, 115075, 95543, 106608, 30512, 113096, 17663, 53953, 105284, 103195, 116229, 71493, 16073, 30512, 76706, 34171, 124545, 113266, 107407, 19732, 117952, 106824, 61689, 9174, 33671, 20230, 71634, 108744, 38641, 5486, 113116, 109904, 71634, 108744, 71289, 111006, 109904, 71634, 108744, 109853, 32977, 102099, 103048, 115075, 95543, 106608, 30512, 76706, 102404, 33208, 124545, 31634, 63212, 115717, 33541, 9174, 118899, 26130, 30832, 110731, 104468, 5486, 105321, 33503, 116421, 104398, 115686, 71289, 116294, 33710, 22398, 20230, 99750, 108208, 39926, 77693, 29295, 103048, 115075, 121432, 30512, 110456, 106266, 39926, 103188, 21403, 108, 20230, 95543, 106608, 39926, 37823, 65299, 68759, 78459, 30512, 113801, 125119, 103792, 16144, 111769, 32149, 19732, 117952, 106824, 61689, 9174, 14711, 220, 46702, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 64810, 122981, 116696, 48552, 111831, 198, 126843, 33671, 16144, 64810, 122981, 116696, 48552, 117824, 61689, 9174, 10110, 20713, 7705, 34617, 59739, 71689, 16144, 97518, 107792, 20230, 101921, 104, 33121, 71289, 108631, 64121, 107407, 1811, 43444, 25963, 7705, 43511, 20230, 103429, 95221, 101983, 107462, 100604, 43444, 34617, 7705, 17039, 17620, 104770, 75146, 107253, 111848, 28542, 9039, 29295, 106045, 23187, 112603, 71689, 10110, 60596, 28542, 7705, 103195, 9174, 85701, 33503, 20230, 122617, 40265, 38144, 15682, 17129, 104984, 37823, 65299, 68759, 78459, 16144, 107750, 16995, 107407, 105879, 122412, 113245, 120761, 105085, 29295, 109215, 38641, 9174, 37823, 65299, 68759, 78459, 16144, 17039, 17620, 104770, 75146, 107253, 15682, 679, 15, 116033, 112673, 118517, 26269, 80805, 19732, 127164, 16144, 37823, 65299, 68759, 78459, 124052, 29295, 125053, 39926, 75146, 107253, 16556, 37656, 105184, 20230, 127177, 103429, 95221, 19732, 24775, 103283, 39926, 109431, 102769, 71005, 109519, 117824, 30297, 124122, 102944, 38641, 9174, 85701, 33503, 33655, 76947, 103856, 23538, 20230, 102404, 91774, 39926, 71005, 109519, 30512, 111671, 54926, 100909, 112212, 109161, 33208, 30512, 103181, 82533, 54926, 106592, 113173, 103306, 61689, 9174, 14711, 220, 44597, 7705, 37823, 65299, 68759, 78459, 16144, 25963, 104091, 104770, 16144, 111800, 112984, 41007, 198, 37823, 65299, 68759, 78459, 120761, 64889, 30512, 105184, 23187, 54926, 103846, 102052, 5486, 33671, 20230, 25963, 104091, 104770, 16144, 111800, 112984, 115991, 33541, 9174, 10110, 20713, 7705, 104473, 107654, 111800, 112984, 43444, 37823, 65299, 68759, 20251, 114265, 63212, 45829, 7705, 111800, 112984, 198, 37823, 29220, 68759, 114265, 63212, 124863, 5486, 103048, 115075, 95543, 106608, 16556, 86206, 26854, 122502, 50834, 123410, 103048, 115075, 41758, 42634, 52884, 107805, 113115, 54926, 102099, 108324, 33014, 38641, 1811, 104473, 107654, 126867, 65299, 37823, 65299, 68759, 20251, 114265, 63212, 45829, 107407, 32149, 104405, 116421, 95543, 106608, 114447, 111800, 112984, 38641, 9174, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 107707, 22, 21909, 23, 111017, 126365, 30369, 105908, 125545, 9174, 108324, 3791, 47, 10110, 108324, 57207, 127764, 107805, 33208, 99695, 57326, 78459, 45923, 7705, 108324, 33014, 111800, 112984, 198, 114052, 111571, 30512, 125119, 56051, 110135, 115716, 20230, 108324, 57207, 127764, 107805, 33208, 99695, 57326, 78459, 45923, 53953, 105284, 115991, 33541, 109807, 53953, 105284, 29295, 104473, 107654, 16325, 117083, 32149, 30512, 114140, 54926, 111800, 112984, 38641, 9174, 125144, 76947, 107873, 34171, 19732, 106053, 23187, 54926, 105908, 110993, 107436, 83747, 100604, 105879, 97518, 107792, 37823, 65299, 68759, 78459, 19732, 106053, 23187, 54926, 110115, 124490, 32149, 72342, 100604, 111800, 112984, 104856, 76947, 61689, 9174, 108324, 72237, 108324, 33014, 111800, 112984, 198, 104398, 112506, 32943, 117083, 102208, 104091, 102208, 108324, 53229, 20230, 95543, 106608, 54926, 108324, 33014, 29295, 104473, 107654, 16325, 117083, 32149, 33476, 30512, 97518, 107792, 104238, 235, 101426, 108324, 33014, 25333, 113468, 104873, 103854, 33541, 1811, 104735, 254, 53229, 103429, 19732, 24775, 103283, 54926, 113009, 23039, 61689, 9174, 109657, 104473, 79059, 120299, 104989, 113053, 10110, 1600, 49, 8, 111800, 112984, 198, 104473, 107654, 16325, 16144, 109657, 104473, 79059, 29295, 120299, 104004, 22398, 70563, 65575, 30512, 108867, 31431, 33541, 1811, 114052, 111571, 107407, 108680, 120299, 64121, 113053, 29295, 95399, 115737, 31431, 33541, 9174, 9150, 47, 10110, 34, 95543, 106608, 34171, 47307, 115695, 29220, 7705, 111800, 112984, 198, 114052, 111571, 71289, 121606, 16144, 105150, 127258, 29295, 125119, 104533, 12904, 47, 10110, 34, 95543, 106608, 34171, 47307, 115695, 29220, 7705, 29295, 115079, 21601, 78434, 113637, 28713, 25827, 2243, 109, 47884, 105284, 16144, 113314, 113468, 114052, 111571, 71289, 121606, 16144, 105150, 127258, 113314, 30512, 104873, 103854, 30369, 105908, 125545, 9174, 44, 5901, 12, 18, 10110, 68759, 122148, 107840, 39850, 47307, 42634, 118565, 39880, 57933, 38248, 120, 11972, 34617, 23954, 114052, 111571, 29295, 43240, 47884, 5486, 115079, 125131, 56051, 110135, 115716, 104398, 112506, 55031, 43240, 47884, 17620, 14888, 234, 107001, 100845, 113, 72238, 90304, 12, 18, 10110, 68759, 122148, 107840, 39850, 47307, 42634, 118565, 39880, 57933, 38248, 120, 11972, 34617, 7705, 30512, 104873, 103854, 30369, 111800, 112984, 38641, 9174, 110135, 115716, 114052, 111571, 16144, 19361, 43568, 71289, 113314, 5486, 97518, 107792, 105150, 127258, 16144, 103911, 101067, 106053, 23187, 20230, 11883, 16995, 102204, 127177, 111800, 112984, 16556, 127122, 34171, 72661, 51330, 111800, 112984, 16556, 107873, 34171, 16144, 126513, 5486, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 114052, 111571, 29295, 108618, 107462, 104533, 26854, 31431, 33541, 9174, 10110, 25963, 7705, 115240, 111800, 112984, 198, 97518, 107792, 16144, 110135, 16144, 121894, 71289, 5486, 103429, 103397, 16144, 116748, 27479, 30512, 104873, 103854, 33541, 9174, 55, 101911, 111800, 112984, 198, 55, 101911, 15682, 122279, 110135, 29295, 62543, 31431, 107515, 109807, 103846, 97518, 107792, 16144, 37795, 247, 56965, 29295, 101462, 255, 115737, 104533, 122279, 110135, 29295, 127258, 115032, 100909, 115717, 33541, 109807, 43511, 110135, 16144, 81180, 236, 123332, 104309, 32977, 114140, 54926, 105908, 125545, 9174, 72404, 79785, 103682, 111800, 112984, 198, 97518, 107792, 30512, 30297, 48154, 32149, 21105, 103, 29295, 33503, 72404, 79785, 103682, 16556, 111800, 112984, 78434, 1811, 114052, 111571, 16144, 72718, 50834, 100934, 116245, 29295, 104398, 32149, 47884, 114181, 105085, 54926, 105908, 125545, 9174, 1182, 111800, 112984, 198, 55, 101911, 16556, 33014, 16144, 64889, 28190, 30512, 102741, 112508, 117120, 22649, 126250, 64889, 114050, 125152, 58322, 78434, 1811, 121200, 31958, 108285, 119318, 116310, 20230, 111800, 112984, 54926, 105908, 125545, 9174, 79770, 111800, 112984, 198, 117450, 95221, 30512, 11883, 102532, 30591, 33503, 106644, 30369, 112169, 55031, 33014, 32943, 30512, 125152, 58322, 39926, 104473, 107654, 16144, 89753, 33121, 30512, 106482, 66201, 33208, 78434, 1811, 110135, 107809, 55031, 97518, 107792, 16144, 115289, 33503, 121867, 121606, 103296, 125152, 58322, 108608, 105879, 114052, 111571, 16144, 121894, 29295, 104398, 32149, 47884, 37656, 105184, 20230, 102178, 111665, 125545, 9174, 39177, 23538, 124905, 30297, 103846, 122830, 107407, 110018, 15682, 33655, 58942, 107515, 9174, 14711, 220, 60596, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 71005, 109519, 41007, 198, 97518, 107792, 37823, 65299, 68759, 78459, 30512, 120761, 105085, 54926, 70626, 15682, 5486, 108936, 112535, 64531, 83799, 48915, 70626, 5486, 32943, 70626, 121711, 33541, 1811, 103350, 104983, 20230, 71005, 109519, 54926, 126513, 5486, 122412, 113468, 108901, 109020, 103846, 99397, 16995, 114146, 117824, 30297, 109215, 115991, 33541, 9174, 97518, 107792, 37823, 65299, 68759, 78459, 19732, 122225, 84389, 104984, 103429, 95221, 30512, 47260, 52414, 42634, 64178, 39926, 15973, 249, 50338, 121894, 30512, 30832, 64467, 78434, 9174, 73738, 25963, 66115, 102677, 37087, 96356, 25963, 66115, 32149, 32938, 16144, 97518, 107792, 16144, 121894, 30512, 104873, 103854, 30369, 64467, 105888, 124905, 61689, 9174, 10110, 20713, 7705, 117434, 53953, 109519, 25333, 198, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 71005, 109519, 15682, 108729, 112535, 117434, 53953, 71005, 109519, 121711, 33671, 120950, 102944, 115717, 33541, 9174, 9458, 108324, 37823, 65299, 68759, 78459, 117434, 198, 103048, 115075, 95543, 106608, 30512, 126128, 105262, 102944, 38641, 1811, 103048, 115075, 126128, 44416, 117434, 19732, 103048, 115075, 104873, 64531, 117434, 115991, 33541, 1811, 103048, 115075, 126128, 44416, 117434, 15682, 5486, 103048, 115075, 113266, 30512, 126128, 107290, 97518, 107792, 123727, 103048, 115075, 16144, 91875, 50834, 30512, 112294, 62004, 101200, 117408, 102944, 38641, 9174, 103048, 115075, 104873, 64531, 117434, 15682, 5486, 120870, 26854, 103048, 115075, 121432, 102052, 117375, 72342, 101860, 5486, 108901, 40053, 30512, 125119, 103792, 103048, 115075, 121432, 20230, 122502, 50834, 32149, 105784, 117434, 16556, 33354, 237, 71289, 111201, 113266, 78434, 9174, 9458, 112027, 48864, 9554, 105107, 21403, 97, 198, 114052, 111571, 30512, 125119 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 127814, 33121, 5486, 71634, 108744, 71289, 104346, 123296, 16144, 72342, 119178, 21105, 234, 43514, 38641, 9174, 80673, 115847, 120577, 111571, 103397, 15682, 5486, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 25580, 6708, 228, 111571, 103397, 102677, 105908, 57903, 33541, 113637, 105933, 104721, 33208, 120938, 33671, 120950, 121894, 20230, 14309, 98, 30369, 126513, 5486, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 107750, 16995, 29295, 127919, 112950, 121711, 33541, 9174, 10110, 20713, 7705, 103293, 16144, 22957, 78183, 81219, 31431, 198, 72718, 107918, 39177, 5486, 97518, 107792, 30512, 91875, 123772, 111108, 16995, 112391, 29295, 868, 17620, 71689, 57903, 106116, 121894, 29295, 16, 111299, 56965, 71689, 106307, 119188, 9174, 10110, 25963, 7705, 46034, 64467, 5486, 102780, 64467, 97518, 107792, 16144, 101921, 104, 33121, 198, 46034, 64467, 5486, 46034, 61075, 16144, 97518, 107792, 125845, 5486, 102780, 64467, 5486, 102780, 61075, 16144, 97518, 107792, 16144, 101921, 104, 33121, 29295, 20713, 111299, 56965, 71689, 106307, 119188, 9174, 10110, 34617, 7705, 118396, 103359, 25666, 16144, 97518, 107792, 16144, 101921, 104, 33121, 198, 118396, 103359, 25666, 20230, 112361, 105494, 16144, 97518, 107792, 29295, 101921, 104, 115032, 109807, 121894, 29295, 16, 111299, 56965, 71689, 106307, 119188, 9174, 10110, 46702, 7705, 34617, 59739, 71689, 16144, 97518, 107792, 16144, 104721, 33208, 198, 34617, 2845, 113, 32938, 71689, 16144, 97518, 107792, 29295, 101921, 104, 115032, 109807, 121894, 29295, 5486, 20713, 111299, 56965, 71689, 106307, 119188, 9174, 51330, 105933, 121894, 110276, 126513, 5486, 109440, 30297, 100909, 103470, 122412, 16556, 114363, 103722, 103242, 16144, 120761, 105085, 114475, 76622, 103470, 38144, 15682, 26854, 31431, 107515, 124845, 109431, 102769, 26854, 71005, 109519, 30512, 103856, 23538, 20230, 101682, 76622, 123207, 26854, 31431, 107515, 9174, 14711, 220, 25963, 7705, 37823, 65299, 68759, 78459, 107809, 23538, 9458, 106968, 23538, 16144, 111571, 103397, 198, 10110, 20713, 7705, 37823, 65299, 68759, 78459, 107809, 23538, 16144, 111571, 103397, 198, 85707, 23538, 16144, 37823, 65299, 68759, 78459, 15682, 5486, 97518, 107792, 16144, 32943, 110366, 30512, 117633, 30297, 110135, 115716, 29295, 114052, 111571, 30512, 125119, 39926, 101921, 104, 33121, 30591, 29295, 31431, 33541, 1811, 97518, 107792, 37087, 33014, 29295, 101921, 104, 104028, 107803, 32977, 57903, 33541, 9174, 58426, 74482, 121270, 23538, 101983, 104533, 110135, 115716, 16144, 104398, 112506, 29295, 115079, 125131, 15024, 5486, 107079, 45951, 121, 30512, 115376, 78434, 109900, 29295, 122279, 110135, 16144, 21405, 28190, 30512, 117633, 61689, 9174, 58426, 107079, 45951, 121, 113468, 122279, 110135, 29295, 105150, 127258, 116216, 33420, 21388, 78434, 9174, 10110, 25963, 7705, 37823, 65299, 68759, 78459, 16144, 106968, 23538, 16144, 111571, 103397, 198, 106968, 23538, 20230, 60358, 109669, 126145, 20230, 107079, 45951, 121, 15682, 5486, 110135, 20230, 117976, 102456, 15024, 110898, 103397, 16144, 115833, 95, 112506, 30512, 115376, 78434, 1811, 106968, 23538, 55031, 118448, 25766, 225, 23538, 101983, 111842, 97518, 107792, 16144, 110135, 16144, 105150, 127258, 29295, 103130, 64121, 110135, 19732, 110135, 29295, 47884, 42891, 59739, 102334, 31431, 5486, 110135, 29295, 122026, 107441, 106627, 106824, 104369, 33503, 104369, 33503, 110276, 31431, 78434, 9174, 14711, 220, 34617, 7705, 37823, 65299, 68759, 78459, 16144, 36668, 26854, 25963, 118821, 113385, 198, 37823, 65299, 68759, 78459, 107118, 5486, 102099, 103048, 115075, 116436, 111694, 112028, 59739, 38641, 9174, 102099, 103048, 115075, 116436, 111694, 107118, 5486, 117032, 104398, 115686, 71289, 65299, 106696, 22398, 123160, 48915, 114737, 103195, 108324, 33014, 113115, 39926, 121551, 54926, 103048, 115075, 104398, 112506, 29295, 125144, 76947, 37026, 120577, 121606, 30512, 114737, 103306, 64121, 26854, 39926, 121551, 54926, 100909, 113468, 114052, 111571, 29295, 125119, 31431, 33541, 9174, 114950, 105352, 102099, 103048, 115075, 116436, 111694, 15682, 57903, 33541, 29295, 106116, 16325, 16556, 97518, 107792, 117083, 113764, 115716, 20230, 114052, 111571, 30512, 125119, 17663, 102944, 30512, 97518, 107792, 37823, 65299, 68759, 78459, 121711, 33541, 9174, 113385, 103306, 15682, 5486, 102099, 103048, 115075, 121432, 16937, 37087, 126529, 119627, 5486, 119045, 109904, 113385, 15682, 5486, 106053, 31958, 109768, 107515, 9174, 102099, 103048, 115075, 116436, 111694, 103195, 97518, 107792, 37823, 65299, 68759, 78459, 15682, 5486, 59739, 105557, 120950, 31634, 63212, 113468, 102404, 111571, 112990, 113727, 124195, 61689, 9174, 10110, 20713, 7705, 115514, 108044, 9554, 113385, 198, 97518, 107792, 37823, 65299, 68759, 78459, 15682, 115514, 108044, 109904, 103429, 95221, 77181, 124897, 119520, 117864, 47884, 43568, 116690, 107173, 78244, 58942, 107515, 1811, 26854, 31431, 126172, 16995, 33014, 105284, 71289, 72238, 63212, 114475, 76622, 120321, 104699, 109335, 57903, 33541, 9174, 112361, 115514, 108044, 109904, 31634, 63212, 30512, 32977, 59739, 15120, 11239, 113, 34171, 104836, 21990, 116581, 16144, 107803, 5486, 122558, 107173, 97518, 107792, 37823, 65299, 68759, 78459, 108176, 125396, 15682, 25963, 46702, 113127, 113314, 19732, 117952, 106824, 61689, 9174, 10110, 25963, 7705, 117501, 9554, 113385, 198, 117501, 109904, 31634, 63212, 103306, 15682, 5486, 33671, 16144, 102944, 115991, 33541, 1811, 126843, 111482, 103927, 33710, 124373, 38641, 1811, 111482, 103927, 33710, 124373, 15682, 5486, 102099, 108324, 33014, 16144, 122502, 50834, 5486, 103048, 115075, 95543, 106608, 30512, 113096, 17663, 53953, 105284, 103195, 116229, 71493, 16073, 30512, 76706, 34171, 124545, 113266, 107407, 19732, 117952, 106824, 61689, 9174, 33671, 20230, 71634, 108744, 38641, 5486, 113116, 109904, 71634, 108744, 71289, 111006, 109904, 71634, 108744, 109853, 32977, 102099, 103048, 115075, 95543, 106608, 30512, 76706, 102404, 33208, 124545, 31634, 63212, 115717, 33541, 9174, 118899, 26130, 30832, 110731, 104468, 5486, 105321, 33503, 116421, 104398, 115686, 71289, 116294, 33710, 22398, 20230, 99750, 108208, 39926, 77693, 29295, 103048, 115075, 121432, 30512, 110456, 106266, 39926, 103188, 21403, 108, 20230, 95543, 106608, 39926, 37823, 65299, 68759, 78459, 30512, 113801, 125119, 103792, 16144, 111769, 32149, 19732, 117952, 106824, 61689, 9174, 14711, 220, 46702, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 64810, 122981, 116696, 48552, 111831, 198, 126843, 33671, 16144, 64810, 122981, 116696, 48552, 117824, 61689, 9174, 10110, 20713, 7705, 34617, 59739, 71689, 16144, 97518, 107792, 20230, 101921, 104, 33121, 71289, 108631, 64121, 107407, 1811, 43444, 25963, 7705, 43511, 20230, 103429, 95221, 101983, 107462, 100604, 43444, 34617, 7705, 17039, 17620, 104770, 75146, 107253, 111848, 28542, 9039, 29295, 106045, 23187, 112603, 71689, 10110, 60596, 28542, 7705, 103195, 9174, 85701, 33503, 20230, 122617, 40265, 38144, 15682, 17129, 104984, 37823, 65299, 68759, 78459, 16144, 107750, 16995, 107407, 105879, 122412, 113245, 120761, 105085, 29295, 109215, 38641, 9174, 37823, 65299, 68759, 78459, 16144, 17039, 17620, 104770, 75146, 107253, 15682, 679, 15, 116033, 112673, 118517, 26269, 80805, 19732, 127164, 16144, 37823, 65299, 68759, 78459, 124052, 29295, 125053, 39926, 75146, 107253, 16556, 37656, 105184, 20230, 127177, 103429, 95221, 19732, 24775, 103283, 39926, 109431, 102769, 71005, 109519, 117824, 30297, 124122, 102944, 38641, 9174, 85701, 33503, 33655, 76947, 103856, 23538, 20230, 102404, 91774, 39926, 71005, 109519, 30512, 111671, 54926, 100909, 112212, 109161, 33208, 30512, 103181, 82533, 54926, 106592, 113173, 103306, 61689, 9174, 14711, 220, 44597, 7705, 37823, 65299, 68759, 78459, 16144, 25963, 104091, 104770, 16144, 111800, 112984, 41007, 198, 37823, 65299, 68759, 78459, 120761, 64889, 30512, 105184, 23187, 54926, 103846, 102052, 5486, 33671, 20230, 25963, 104091, 104770, 16144, 111800, 112984, 115991, 33541, 9174, 10110, 20713, 7705, 104473, 107654, 111800, 112984, 43444, 37823, 65299, 68759, 20251, 114265, 63212, 45829, 7705, 111800, 112984, 198, 37823, 29220, 68759, 114265, 63212, 124863, 5486, 103048, 115075, 95543, 106608, 16556, 86206, 26854, 122502, 50834, 123410, 103048, 115075, 41758, 42634, 52884, 107805, 113115, 54926, 102099, 108324, 33014, 38641, 1811, 104473, 107654, 126867, 65299, 37823, 65299, 68759, 20251, 114265, 63212, 45829, 107407, 32149, 104405, 116421, 95543, 106608, 114447, 111800, 112984, 38641, 9174, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 107707, 22, 21909, 23, 111017, 126365, 30369, 105908, 125545, 9174, 108324, 3791, 47, 10110, 108324, 57207, 127764, 107805, 33208, 99695, 57326, 78459, 45923, 7705, 108324, 33014, 111800, 112984, 198, 114052, 111571, 30512, 125119, 56051, 110135, 115716, 20230, 108324, 57207, 127764, 107805, 33208, 99695, 57326, 78459, 45923, 53953, 105284, 115991, 33541, 109807, 53953, 105284, 29295, 104473, 107654, 16325, 117083, 32149, 30512, 114140, 54926, 111800, 112984, 38641, 9174, 125144, 76947, 107873, 34171, 19732, 106053, 23187, 54926, 105908, 110993, 107436, 83747, 100604, 105879, 97518, 107792, 37823, 65299, 68759, 78459, 19732, 106053, 23187, 54926, 110115, 124490, 32149, 72342, 100604, 111800, 112984, 104856, 76947, 61689, 9174, 108324, 72237, 108324, 33014, 111800, 112984, 198, 104398, 112506, 32943, 117083, 102208, 104091, 102208, 108324, 53229, 20230, 95543, 106608, 54926, 108324, 33014, 29295, 104473, 107654, 16325, 117083, 32149, 33476, 30512, 97518, 107792, 104238, 235, 101426, 108324, 33014, 25333, 113468, 104873, 103854, 33541, 1811, 104735, 254, 53229, 103429, 19732, 24775, 103283, 54926, 113009, 23039, 61689, 9174, 109657, 104473, 79059, 120299, 104989, 113053, 10110, 1600, 49, 8, 111800, 112984, 198, 104473, 107654, 16325, 16144, 109657, 104473, 79059, 29295, 120299, 104004, 22398, 70563, 65575, 30512, 108867, 31431, 33541, 1811, 114052, 111571, 107407, 108680, 120299, 64121, 113053, 29295, 95399, 115737, 31431, 33541, 9174, 9150, 47, 10110, 34, 95543, 106608, 34171, 47307, 115695, 29220, 7705, 111800, 112984, 198, 114052, 111571, 71289, 121606, 16144, 105150, 127258, 29295, 125119, 104533, 12904, 47, 10110, 34, 95543, 106608, 34171, 47307, 115695, 29220, 7705, 29295, 115079, 21601, 78434, 113637, 28713, 25827, 2243, 109, 47884, 105284, 16144, 113314, 113468, 114052, 111571, 71289, 121606, 16144, 105150, 127258, 113314, 30512, 104873, 103854, 30369, 105908, 125545, 9174, 44, 5901, 12, 18, 10110, 68759, 122148, 107840, 39850, 47307, 42634, 118565, 39880, 57933, 38248, 120, 11972, 34617, 23954, 114052, 111571, 29295, 43240, 47884, 5486, 115079, 125131, 56051, 110135, 115716, 104398, 112506, 55031, 43240, 47884, 17620, 14888, 234, 107001, 100845, 113, 72238, 90304, 12, 18, 10110, 68759, 122148, 107840, 39850, 47307, 42634, 118565, 39880, 57933, 38248, 120, 11972, 34617, 7705, 30512, 104873, 103854, 30369, 111800, 112984, 38641, 9174, 110135, 115716, 114052, 111571, 16144, 19361, 43568, 71289, 113314, 5486, 97518, 107792, 105150, 127258, 16144, 103911, 101067, 106053, 23187, 20230, 11883, 16995, 102204, 127177, 111800, 112984, 16556, 127122, 34171, 72661, 51330, 111800, 112984, 16556, 107873, 34171, 16144, 126513, 5486, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 114052, 111571, 29295, 108618, 107462, 104533, 26854, 31431, 33541, 9174, 10110, 25963, 7705, 115240, 111800, 112984, 198, 97518, 107792, 16144, 110135, 16144, 121894, 71289, 5486, 103429, 103397, 16144, 116748, 27479, 30512, 104873, 103854, 33541, 9174, 55, 101911, 111800, 112984, 198, 55, 101911, 15682, 122279, 110135, 29295, 62543, 31431, 107515, 109807, 103846, 97518, 107792, 16144, 37795, 247, 56965, 29295, 101462, 255, 115737, 104533, 122279, 110135, 29295, 127258, 115032, 100909, 115717, 33541, 109807, 43511, 110135, 16144, 81180, 236, 123332, 104309, 32977, 114140, 54926, 105908, 125545, 9174, 72404, 79785, 103682, 111800, 112984, 198, 97518, 107792, 30512, 30297, 48154, 32149, 21105, 103, 29295, 33503, 72404, 79785, 103682, 16556, 111800, 112984, 78434, 1811, 114052, 111571, 16144, 72718, 50834, 100934, 116245, 29295, 104398, 32149, 47884, 114181, 105085, 54926, 105908, 125545, 9174, 1182, 111800, 112984, 198, 55, 101911, 16556, 33014, 16144, 64889, 28190, 30512, 102741, 112508, 117120, 22649, 126250, 64889, 114050, 125152, 58322, 78434, 1811, 121200, 31958, 108285, 119318, 116310, 20230, 111800, 112984, 54926, 105908, 125545, 9174, 79770, 111800, 112984, 198, 117450, 95221, 30512, 11883, 102532, 30591, 33503, 106644, 30369, 112169, 55031, 33014, 32943, 30512, 125152, 58322, 39926, 104473, 107654, 16144, 89753, 33121, 30512, 106482, 66201, 33208, 78434, 1811, 110135, 107809, 55031, 97518, 107792, 16144, 115289, 33503, 121867, 121606, 103296, 125152, 58322, 108608, 105879, 114052, 111571, 16144, 121894, 29295, 104398, 32149, 47884, 37656, 105184, 20230, 102178, 111665, 125545, 9174, 39177, 23538, 124905, 30297, 103846, 122830, 107407, 110018, 15682, 33655, 58942, 107515, 9174, 14711, 220, 60596, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 71005, 109519, 41007, 198, 97518, 107792, 37823, 65299, 68759, 78459, 30512, 120761, 105085, 54926, 70626, 15682, 5486, 108936, 112535, 64531, 83799, 48915, 70626, 5486, 32943, 70626, 121711, 33541, 1811, 103350, 104983, 20230, 71005, 109519, 54926, 126513, 5486, 122412, 113468, 108901, 109020, 103846, 99397, 16995, 114146, 117824, 30297, 109215, 115991, 33541, 9174, 97518, 107792, 37823, 65299, 68759, 78459, 19732, 122225, 84389, 104984, 103429, 95221, 30512, 47260, 52414, 42634, 64178, 39926, 15973, 249, 50338, 121894, 30512, 30832, 64467, 78434, 9174, 73738, 25963, 66115, 102677, 37087, 96356, 25963, 66115, 32149, 32938, 16144, 97518, 107792, 16144, 121894, 30512, 104873, 103854, 30369, 64467, 105888, 124905, 61689, 9174, 10110, 20713, 7705, 117434, 53953, 109519, 25333, 198, 97518, 107792, 37823, 65299, 68759, 78459, 16144, 71005, 109519, 15682, 108729, 112535, 117434, 53953, 71005, 109519, 121711, 33671, 120950, 102944, 115717, 33541, 9174, 9458, 108324, 37823, 65299, 68759, 78459, 117434, 198, 103048, 115075, 95543, 106608, 30512, 126128, 105262, 102944, 38641, 1811, 103048, 115075, 126128, 44416, 117434, 19732, 103048, 115075, 104873, 64531, 117434, 115991, 33541, 1811, 103048, 115075, 126128, 44416, 117434, 15682, 5486, 103048, 115075, 113266, 30512, 126128, 107290, 97518, 107792, 123727, 103048, 115075, 16144, 91875, 50834, 30512, 112294, 62004, 101200, 117408, 102944, 38641, 9174, 103048, 115075, 104873, 64531, 117434, 15682, 5486, 120870, 26854, 103048, 115075, 121432, 102052, 117375, 72342, 101860, 5486, 108901, 40053, 30512, 125119, 103792, 103048, 115075, 121432, 20230, 122502, 50834, 32149, 105784, 117434, 16556, 33354, 237, 71289, 111201, 113266, 78434, 9174, 9458, 112027, 48864, 9554, 105107, 21403, 97, 198, 114052, 111571, 30512, 125119 ]
[ 17663, 66378, 23187, 16144, 53953, 105284, 30512, 105888, 112535, 15024, 106116, 95543, 106608, 30512, 118565, 48552, 54926, 102944, 38641, 1811, 114052, 111571, 30512, 125119, 109768, 104533, 50834, 20230, 122333, 20230, 116229, 71493, 76171, 29295, 54322, 20834, 84389, 5486, 103048, 115075, 104398, 112506, 104309, 30512, 110456, 106266, 39926, 114052, 111571, 29295, 115079, 109161, 116216, 97518, 107792, 105150, 127258, 30512, 125119, 78434, 9174, 51330, 97518, 107792, 105150, 127258, 95543, 106608, 30512, 113801, 125119, 17663, 114052, 111571, 34171, 116229, 71493, 76171, 30512, 70563, 16073, 120098, 16556, 44416, 109088, 15024, 5486, 97518, 107792, 105150, 127258, 107001, 106592, 103181, 82533, 54926, 117434, 38641, 9174, 108324, 37823, 65299, 68759, 78459, 117434, 19732, 125702, 11883, 54926, 100909, 113468, 55723, 23538, 109904, 8239, 114503, 30512, 109415, 33541, 29295, 5486, 117434, 95001, 29295, 126574, 112973, 109606, 28542, 38641, 9174, 66776, 106826, 42634, 114265, 34171, 108324, 114052, 111571, 117434, 198, 108631, 64121, 19732, 114052, 111571, 30512, 126128, 105262, 102944, 38641, 1811, 108631, 64121, 123017, 19732, 108176, 33014, 32943, 53953, 105284, 10110, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 7705, 13177, 107420, 105335, 41758, 93488, 76428, 16073, 117503, 40862, 13153, 30512, 113096, 103130, 54926, 100845, 113, 72238, 16144, 122502, 50834, 30512, 100525, 101, 102639, 5486, 114052, 111571, 19732, 108631, 64121, 30512, 126128, 58942, 33541, 9174, 92776, 126120, 34171, 107407, 105879, 108324, 37823, 65299, 68759, 78459, 117434, 16144, 8239, 114503, 29295, 21405, 104028, 103296, 108631, 64121, 16144, 100783, 102, 34208, 20230, 33655, 123671, 33541, 9174, 106826, 42634, 114265, 117434, 198, 114052, 111571, 30512, 126128, 58942, 110745, 33857, 38129, 77181, 5486, 103048, 115075, 95543, 106608, 32977, 126128, 105262, 1811, 101921, 236, 26274, 241, 120938, 117083, 106966, 101921, 236, 19732, 112844, 26274, 241, 32648, 105755, 17620, 14888, 234, 107001, 103927, 33710, 124373, 16556, 118958, 109205, 69978, 20230, 124490, 32149, 72342, 100604, 102944, 38641, 9174, 58426, 126867, 96412, 17129, 104028, 47260, 33710, 78459, 118091, 64178, 30512, 17792, 49792, 112535, 40862, 13153, 56051, 102944, 16556, 5486, 71634, 108744, 30512, 117355, 114485, 56051, 31431, 5486, 117587, 105284, 16144, 31640, 118835, 30512, 113096, 39926, 104473, 117587, 112603, 30512, 111419, 20230, 33563, 100472, 31431, 114052, 111571, 30512, 126128, 58942, 33541, 1811, 114052, 111571, 34171, 116229, 71493, 76171, 71289, 108631, 64121, 53953, 105284, 107420, 105335, 41758, 93488, 76428, 16073, 29295, 40862, 13153, 107001, 16144, 30512, 126128, 44416, 78434, 9174, 10110, 25963, 7705, 46034, 103991, 109519, 25333, 198, 108324, 37823, 65299, 68759, 78459, 117434, 30512, 15682, 100204, 62004, 117408, 117434, 53953, 71005, 109519, 16556, 97518, 107792, 29295, 105150, 127258, 54926, 16144, 30512, 102456, 16995, 82533, 109315, 105908, 125545, 29295, 5486, 105150, 127258, 103646, 97518, 107792, 15682, 5486, 117434, 53953, 109519, 25333, 77181, 5486, 23951, 109095, 107001, 109335, 124897, 9174, 58426, 107803, 5486, 46034, 103991, 109519, 25333, 115717, 33541, 1811, 46034, 103991, 114475, 105784, 107803, 16144, 109215, 32335, 103167, 48249, 16144, 77195, 103306, 111419, 117232, 117434, 53953, 71005, 109519, 30512, 38129, 21105, 103, 47884, 107173, 103429, 116499, 30813, 108680, 116748, 21105, 103, 16995, 105908, 77195, 121711, 33541, 9174, 46034, 103991, 74482, 15682, 5486, 99750, 108208, 111571, 103911, 103181, 71289, 103991, 123470, 18904, 109095, 30512, 113173, 103306, 103048, 115075, 121432, 30512, 18904, 109095, 124545, 105908, 109215, 38641, 119520, 117434, 53953, 71005, 109519, 117824, 30297, 19732, 103048, 115075, 121432, 29295, 103167, 17297, 39926, 103801, 78434, 9174, 58426, 103846, 103991, 25580, 103991, 74482, 111419, 117232, 117434, 53953, 71005, 109519, 30512, 122434, 124545, 109215, 107407, 32149, 28713, 38641, 9174, 9458, 17792, 49792, 97518, 107792, 22324, 109033, 103991, 198, 105150, 127258, 103646, 97518, 107792, 30512, 121432, 30512, 108167, 114941, 17663, 124122, 106691, 109904, 102944, 103306, 13177, 17792, 49792, 97518, 107792, 22324, 109033, 103991, 66383, 26854, 31431, 33541, 9174, 9458, 110135, 115716, 102769, 21418, 103991, 198, 108631, 64121, 30512, 34208, 33503, 102639, 97518, 107792, 16144, 121432, 30512, 23226, 106594, 54926, 46034, 103991, 103306, 13177, 113764, 115716, 102769, 21418, 103991, 10646, 115991, 33541, 9174, 67645, 112384, 16144, 107803, 32977, 46034, 103991, 20230, 107507, 101198, 94550, 29295, 107693, 16556, 111571, 103397, 29295, 103130, 126559, 107803, 102052, 5486, 46034, 103991, 126250, 23226, 106594, 54926, 109335, 91774, 104526, 62004, 107515, 9174, 9458, 97518, 107792, 124108, 103991, 198, 61826, 20230, 41920, 118821, 46034, 103991, 29295, 110482, 111108, 26854, 107803, 5486, 108631, 64121, 16144, 100783, 102, 34208, 19732, 109189, 34171, 16144, 18904, 109095, 54926, 106592, 113173, 103306, 97518, 107792, 30512, 124108, 78434, 113637, 46034, 103991, 77181, 97518, 107792, 16144, 121432, 29295, 21388, 123671, 33541, 29295, 5486, 108631, 64121, 30512, 108038, 20230, 21418, 86436, 54926, 105908, 125545, 9174, 114950, 114556, 107792, 30512, 21403, 232, 76947, 121432, 18904, 109095, 30512, 111629, 30369, 102769, 21418, 97518, 107792, 115376, 103991, 71289, 101921, 109, 16144, 60634, 109178, 50667, 117824, 30297, 101921, 109, 115376, 103991, 115991, 33541, 9174, 10110, 34617, 7705, 37823, 102040, 91482, 37823, 109519, 25333, 198, 97518, 107792, 16144, 119049, 107079, 30512, 112258, 249, 58942, 5486, 104654, 91875, 19967, 106556, 30512, 45736, 109315, 103846, 37823, 102040, 91482, 37823, 109519, 25333, 117824, 61689, 9174, 9458, 22649, 48864, 109519, 25333, 198, 117401, 71289, 104840, 107969, 5486, 53610, 71289, 30320, 115, 5486, 104309, 16556, 108631, 64121, 30512, 34208, 33503, 102639, 5486, 104473, 89753, 30512, 103424, 47884, 54926, 102944, 38641, 1811, 118656, 109904, 110456, 106266, 30512, 58318, 105262, 118656, 109519, 25333, 19732, 33014, 30512, 91875, 32149, 39926, 97518, 107792, 16144, 121432, 30512, 33563, 59739, 117401, 109519, 25333, 115991, 33541, 9174, 9458, 19967, 101275, 109519, 25333, 198, 103572, 38574, 16144, 104654, 16144, 99849, 95221, 100604, 91875, 19967, 104088, 74245, 15024, 5486, 9080, 40053, 16144, 91875, 19967, 16144, 121432, 30512, 109205, 69978, 5486, 18904, 109095, 54926, 102944, 38641, 9174, 9458, 99741, 77913, 109519, 25333, 198, 60868, 121057, 104309, 16556, 97518, 107792, 30512, 46456, 107290, 124108, 15024, 5486, 104721, 83799, 30512, 103911, 103181, 39926, 100543, 107, 37656, 54926, 102944, 38641, 9174, 117434, 53953, 109519, 25333, 5486, 46034, 103991, 109519, 25333, 5486, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 16073, 109519, 25333, 16144, 46091, 59739, 29295, 27929, 103950, 100909, 113468, 15973, 249, 50338, 54926, 105908, 125545, 9174, 14711, 220, 66224, 7705, 37823, 65299, 68759, 78459, 16144, 71005, 109519, 123470, 25963, 118821, 103911, 74482, 198, 10110, 20713, 7705, 113116, 109904, 71634, 108744, 30512, 103846, 100604, 198, 97518, 107792, 37823, 65299, 68759, 78459, 15682, 71634, 108744, 16556, 103429, 103397, 29295, 109161, 33208, 54926, 107803, 115991, 33541, 1811, 103429, 95221, 58426, 102944, 16144, 71634, 108744, 30512, 15682, 100204, 62004, 104654, 30512, 109768, 47884, 17905, 113245, 71634, 108744, 30512, 109020, 103854, 47884, 103846, 100604, 105908, 107693, 38641, 9174, 51385, 23187, 56051, 113116, 121894, 16556, 121410, 9080, 30512, 103188, 48154, 17663, 103846, 5486, 115364, 30512, 121894, 30512, 113954, 15024, 5486, 57326, 112718, 125456, 16556, 113727, 112160, 17792, 16556, 101128, 102, 17129, 100604, 104654, 30512, 64209, 115856, 76622, 17129, 109954, 198, 10110, 25963, 7705, 105509, 16556, 33655, 114774, 17663, 16995, 104654, 117501, 30512, 64531, 105262, 198, 108729, 9554, 102052, 5486, 97518, 107792, 20230, 109972, 106529, 30512, 58318, 119841, 106390, 29430, 16144, 104654, 117501, 30512, 64531, 58942, 33541, 1811, 120094, 45829, 20230, 103605, 30369, 104654, 5486, 102832, 67075, 20230, 107608, 62004, 16144, 52927, 108638, 16556, 5486, 33014, 30512, 106142, 71289, 30813, 100604, 52927, 108638, 16144, 33655, 30297, 5486, 38574, 104364, 30512, 103470, 17663, 104309, 109972, 106529, 107380, 100604, 104654, 117501, 30512, 64531, 105262, 105908, 109215, 38641, 9174, 14711, 220, 66115, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 103911, 103181, 120098, 198, 10110, 20713, 7705, 66953, 93488, 117718, 18655, 103468, 102456, 30926, 54926, 198, 83747, 33857, 72661, 66953, 93488, 117718, 18655, 103468, 102456, 30926, 30512, 64209, 115856, 76622, 33541, 1811, 115612, 26854, 102456, 30926, 109519, 25333, 15682, 124897, 29295, 5486, 108729, 9554, 102052, 5486, 33354, 222, 53953, 5486, 102212, 108171, 5486, 107079, 5486, 115371, 5486, 11239, 113, 110745, 117203, 105107, 25446, 5486, 111528, 105107, 25446, 104309, 30512, 17129, 25827, 103854, 103171, 47884, 99046, 224, 18655, 39926, 72315, 9174, 10110, 25963, 7705, 119049, 107079, 126694, 30369, 103424, 105284, 112568, 25827, 2243, 109, 47884, 105284, 30512, 99046, 224, 18655, 54926, 198, 97518, 107792, 37823, 65299, 68759, 78459, 101983, 104533, 71005, 109519, 71289, 103429, 103397, 112212, 37087, 96356, 16144, 119049, 107079, 29295, 114485, 31431, 33541, 109807, 114485, 100472, 119049, 107079, 116825, 109749, 103846, 103424, 105284, 47307, 115695, 29220, 105284, 30512, 109431, 102769, 20230, 99046, 224, 18655, 39926, 72315, 9174, 10110, 34617, 7705, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 104309, 30512, 105843, 17620, 99046, 224, 18655, 54926, 198, 15120, 118821, 102456, 53953, 20230, 35818, 108385, 30369, 100909, 103470, 118969, 75694, 17129, 16144, 102456, 53953, 163, 65620, 53610, 33208, 53953, 5486, 47307, 115695, 29220, 105284, 5486, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 104309, 66953, 119930, 114652, 99046, 224, 18655, 54926, 105908, 107693, 38641, 9174, 97518, 107792, 37823, 65299, 68759, 78459, 102677, 103429, 95221, 15682, 120613, 15682, 114652, 53283, 124195, 61689, 29295, 112160, 27479, 32149, 32149, 104984, 71005, 110104, 104309, 125144, 50338, 116216, 108086, 5486, 108936, 124911, 20230, 105843, 17620, 113954, 84389, 100481, 107515, 9174, 16995, 85791, 16995, 85791, 26854, 71005, 109519, 32977, 107693, 119627, 5486, 41642, 116310, 16144, 114754, 103429, 95221, 30512, 113954, 39926, 46034, 103129, 76622, 109768, 47884, 100909, 112212, 5486, 103429, 95221, 126636, 112495, 31634, 63212, 103195, 71634, 108744, 32977, 50338, 33420, 125545, 9174, 121648, 98369, 32977, 122485, 16556, 101128, 102, 126843, 5486, 41642, 116310, 71289, 114363, 103722, 103242, 123160, 46034, 103129, 76622, 30512, 108882, 110993, 112535, 101682, 107441, 108608, 103378, 102395, 109431, 26854, 104654, 30512, 108167, 114941, 103801, 109954, 9174, 37271, 18904, 16144, 123011, 62004, 220, 20713, 7705, 37823, 65299, 68759, 78459, 16144, 46702, 118821, 85707, 23538, 111571, 103397, 107118, 220, 25963, 7705, 37823, 65299, 68759, 78459, 107809, 23538, 9458, 106968, 23538, 16144, 111571, 103397, 107118, 220, 34617, 7705, 37823, 65299, 68759, 78459, 16144, 36668, 26854, 25963, 118821, 113385, 107118, 220, 46702, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 64810, 122981, 116696, 48552, 111831, 220, 44597, 7705, 37823, 65299, 68759, 78459, 16144, 25963, 104091, 104770, 16144, 111800, 112984, 41007, 220, 60596, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 71005, 109519, 41007, 107118, 220, 66224, 7705, 37823, 65299, 68759, 78459, 16144, 71005, 109519, 123470, 25963, 118821, 103911, 74482, 107118, 220, 66115, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 103911, 103181, 120098, 107118, 198, 12, 105032, 47307, 41758, 128001, 128000, 27798, 77219, 124720, 871, 45631, 17297, 57942, 95, 10110, 102780, 7705, 10646, 16144, 111571, 103397, 104309, 109853, 16144, 87177, 16144, 77219, 124720, 198, 33334, 15682, 101200, 123231, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 5486, 32149, 32149, 110792, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 107301, 27384, 102212, 36761, 38641, 9174, 107795, 32977, 102987, 109709, 5486, 102780, 32977, 19732, 29295, 5486, 106142, 107290, 109749, 39177, 23538, 117084, 50834, 79721, 101832, 9468, 235, 223, 198, 110924, 16556, 5486, 102780, 16144, 118124, 71289, 32149, 32149, 19732, 29295, 108631, 16995, 102677, 121894, 16556, 33334, 101128, 102, 64121, 120332, 32977, 16995, 33503, 42891, 116826, 30369, 16144, 111769, 123253, 32149, 95532, 37271, 18904, 15682, 5486, 102780, 16144, 118124, 9458, 32149, 32149, 110792, 108631, 64121, 107407, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 16937, 104873, 109853, 108948, 87177, 15024, 30512, 109768, 105898, 16995, 106046, 61689, 9174, 9458, 103293, 5486, 72718, 50834, 38144, 55031, 5486, 16, 105564, 30832, 29295, 108631, 16995, 9174, 9458, 102780, 16144, 118124, 29295, 110567, 16995, 105933, 112391, 107407, 9174, 9458, 101544, 16995, 82973, 5486, 80195, 107462, 104533, 102780, 16144, 118124, 20230, 108631, 64121, 71289, 21105, 111, 33121, 29295, 16556, 38144, 109749, 9174, 9458, 102780, 16144, 118124, 104865, 32149, 110792, 105494, 71289, 74090, 119870, 126843, 16144, 30591, 115926, 29295, 108631, 16995, 9174, 102677, 16937, 104873, 107407, 126513, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 16937, 104873, 102677, 102944, 29295, 107750, 126832, 32149, 110241, 33121, 107515, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 107118, 5486, 67645, 16144, 103826, 26854, 102944, 32149, 126130, 87177, 30512, 109768, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 9458, 102780, 104792, 119049, 115716, 15682, 31195, 198, 102780, 16144, 118124, 104865, 32149, 110792, 110135, 55031, 20, 22656, 16144, 64467, 16144, 122382, 102831, 16144, 110135, 112649, 107441, 5486, 15355, 229, 103397, 16144, 101921, 109, 16144, 106592, 16995, 61689, 9174, 107734, 111017, 103306, 15682, 111476, 9458, 102780, 16144, 118124, 16144, 39880, 113335, 30512, 118551, 54926, 9174, 102780, 16144, 104486, 16144, 110135, 15682, 115132, 113335, 103397, 10110, 13870, 241, 103397, 7705, 121711, 5486, 33014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17663, 66378, 23187, 16144, 53953, 105284, 30512, 105888, 112535, 15024, 106116, 95543, 106608, 30512, 118565, 48552, 54926, 102944, 38641, 1811, 114052, 111571, 30512, 125119, 109768, 104533, 50834, 20230, 122333, 20230, 116229, 71493, 76171, 29295, 54322, 20834, 84389, 5486, 103048, 115075, 104398, 112506, 104309, 30512, 110456, 106266, 39926, 114052, 111571, 29295, 115079, 109161, 116216, 97518, 107792, 105150, 127258, 30512, 125119, 78434, 9174, 51330, 97518, 107792, 105150, 127258, 95543, 106608, 30512, 113801, 125119, 17663, 114052, 111571, 34171, 116229, 71493, 76171, 30512, 70563, 16073, 120098, 16556, 44416, 109088, 15024, 5486, 97518, 107792, 105150, 127258, 107001, 106592, 103181, 82533, 54926, 117434, 38641, 9174, 108324, 37823, 65299, 68759, 78459, 117434, 19732, 125702, 11883, 54926, 100909, 113468, 55723, 23538, 109904, 8239, 114503, 30512, 109415, 33541, 29295, 5486, 117434, 95001, 29295, 126574, 112973, 109606, 28542, 38641, 9174, 66776, 106826, 42634, 114265, 34171, 108324, 114052, 111571, 117434, 198, 108631, 64121, 19732, 114052, 111571, 30512, 126128, 105262, 102944, 38641, 1811, 108631, 64121, 123017, 19732, 108176, 33014, 32943, 53953, 105284, 10110, 16937, 72406, 121, 34208, 121496, 57942, 103, 108602, 7705, 13177, 107420, 105335, 41758, 93488, 76428, 16073, 117503, 40862, 13153, 30512, 113096, 103130, 54926, 100845, 113, 72238, 16144, 122502, 50834, 30512, 100525, 101, 102639, 5486, 114052, 111571, 19732, 108631, 64121, 30512, 126128, 58942, 33541, 9174, 92776, 126120, 34171, 107407, 105879, 108324, 37823, 65299, 68759, 78459, 117434, 16144, 8239, 114503, 29295, 21405, 104028, 103296, 108631, 64121, 16144, 100783, 102, 34208, 20230, 33655, 123671, 33541, 9174, 106826, 42634, 114265, 117434, 198, 114052, 111571, 30512, 126128, 58942, 110745, 33857, 38129, 77181, 5486, 103048, 115075, 95543, 106608, 32977, 126128, 105262, 1811, 101921, 236, 26274, 241, 120938, 117083, 106966, 101921, 236, 19732, 112844, 26274, 241, 32648, 105755, 17620, 14888, 234, 107001, 103927, 33710, 124373, 16556, 118958, 109205, 69978, 20230, 124490, 32149, 72342, 100604, 102944, 38641, 9174, 58426, 126867, 96412, 17129, 104028, 47260, 33710, 78459, 118091, 64178, 30512, 17792, 49792, 112535, 40862, 13153, 56051, 102944, 16556, 5486, 71634, 108744, 30512, 117355, 114485, 56051, 31431, 5486, 117587, 105284, 16144, 31640, 118835, 30512, 113096, 39926, 104473, 117587, 112603, 30512, 111419, 20230, 33563, 100472, 31431, 114052, 111571, 30512, 126128, 58942, 33541, 1811, 114052, 111571, 34171, 116229, 71493, 76171, 71289, 108631, 64121, 53953, 105284, 107420, 105335, 41758, 93488, 76428, 16073, 29295, 40862, 13153, 107001, 16144, 30512, 126128, 44416, 78434, 9174, 10110, 25963, 7705, 46034, 103991, 109519, 25333, 198, 108324, 37823, 65299, 68759, 78459, 117434, 30512, 15682, 100204, 62004, 117408, 117434, 53953, 71005, 109519, 16556, 97518, 107792, 29295, 105150, 127258, 54926, 16144, 30512, 102456, 16995, 82533, 109315, 105908, 125545, 29295, 5486, 105150, 127258, 103646, 97518, 107792, 15682, 5486, 117434, 53953, 109519, 25333, 77181, 5486, 23951, 109095, 107001, 109335, 124897, 9174, 58426, 107803, 5486, 46034, 103991, 109519, 25333, 115717, 33541, 1811, 46034, 103991, 114475, 105784, 107803, 16144, 109215, 32335, 103167, 48249, 16144, 77195, 103306, 111419, 117232, 117434, 53953, 71005, 109519, 30512, 38129, 21105, 103, 47884, 107173, 103429, 116499, 30813, 108680, 116748, 21105, 103, 16995, 105908, 77195, 121711, 33541, 9174, 46034, 103991, 74482, 15682, 5486, 99750, 108208, 111571, 103911, 103181, 71289, 103991, 123470, 18904, 109095, 30512, 113173, 103306, 103048, 115075, 121432, 30512, 18904, 109095, 124545, 105908, 109215, 38641, 119520, 117434, 53953, 71005, 109519, 117824, 30297, 19732, 103048, 115075, 121432, 29295, 103167, 17297, 39926, 103801, 78434, 9174, 58426, 103846, 103991, 25580, 103991, 74482, 111419, 117232, 117434, 53953, 71005, 109519, 30512, 122434, 124545, 109215, 107407, 32149, 28713, 38641, 9174, 9458, 17792, 49792, 97518, 107792, 22324, 109033, 103991, 198, 105150, 127258, 103646, 97518, 107792, 30512, 121432, 30512, 108167, 114941, 17663, 124122, 106691, 109904, 102944, 103306, 13177, 17792, 49792, 97518, 107792, 22324, 109033, 103991, 66383, 26854, 31431, 33541, 9174, 9458, 110135, 115716, 102769, 21418, 103991, 198, 108631, 64121, 30512, 34208, 33503, 102639, 97518, 107792, 16144, 121432, 30512, 23226, 106594, 54926, 46034, 103991, 103306, 13177, 113764, 115716, 102769, 21418, 103991, 10646, 115991, 33541, 9174, 67645, 112384, 16144, 107803, 32977, 46034, 103991, 20230, 107507, 101198, 94550, 29295, 107693, 16556, 111571, 103397, 29295, 103130, 126559, 107803, 102052, 5486, 46034, 103991, 126250, 23226, 106594, 54926, 109335, 91774, 104526, 62004, 107515, 9174, 9458, 97518, 107792, 124108, 103991, 198, 61826, 20230, 41920, 118821, 46034, 103991, 29295, 110482, 111108, 26854, 107803, 5486, 108631, 64121, 16144, 100783, 102, 34208, 19732, 109189, 34171, 16144, 18904, 109095, 54926, 106592, 113173, 103306, 97518, 107792, 30512, 124108, 78434, 113637, 46034, 103991, 77181, 97518, 107792, 16144, 121432, 29295, 21388, 123671, 33541, 29295, 5486, 108631, 64121, 30512, 108038, 20230, 21418, 86436, 54926, 105908, 125545, 9174, 114950, 114556, 107792, 30512, 21403, 232, 76947, 121432, 18904, 109095, 30512, 111629, 30369, 102769, 21418, 97518, 107792, 115376, 103991, 71289, 101921, 109, 16144, 60634, 109178, 50667, 117824, 30297, 101921, 109, 115376, 103991, 115991, 33541, 9174, 10110, 34617, 7705, 37823, 102040, 91482, 37823, 109519, 25333, 198, 97518, 107792, 16144, 119049, 107079, 30512, 112258, 249, 58942, 5486, 104654, 91875, 19967, 106556, 30512, 45736, 109315, 103846, 37823, 102040, 91482, 37823, 109519, 25333, 117824, 61689, 9174, 9458, 22649, 48864, 109519, 25333, 198, 117401, 71289, 104840, 107969, 5486, 53610, 71289, 30320, 115, 5486, 104309, 16556, 108631, 64121, 30512, 34208, 33503, 102639, 5486, 104473, 89753, 30512, 103424, 47884, 54926, 102944, 38641, 1811, 118656, 109904, 110456, 106266, 30512, 58318, 105262, 118656, 109519, 25333, 19732, 33014, 30512, 91875, 32149, 39926, 97518, 107792, 16144, 121432, 30512, 33563, 59739, 117401, 109519, 25333, 115991, 33541, 9174, 9458, 19967, 101275, 109519, 25333, 198, 103572, 38574, 16144, 104654, 16144, 99849, 95221, 100604, 91875, 19967, 104088, 74245, 15024, 5486, 9080, 40053, 16144, 91875, 19967, 16144, 121432, 30512, 109205, 69978, 5486, 18904, 109095, 54926, 102944, 38641, 9174, 9458, 99741, 77913, 109519, 25333, 198, 60868, 121057, 104309, 16556, 97518, 107792, 30512, 46456, 107290, 124108, 15024, 5486, 104721, 83799, 30512, 103911, 103181, 39926, 100543, 107, 37656, 54926, 102944, 38641, 9174, 117434, 53953, 109519, 25333, 5486, 46034, 103991, 109519, 25333, 5486, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 16073, 109519, 25333, 16144, 46091, 59739, 29295, 27929, 103950, 100909, 113468, 15973, 249, 50338, 54926, 105908, 125545, 9174, 14711, 220, 66224, 7705, 37823, 65299, 68759, 78459, 16144, 71005, 109519, 123470, 25963, 118821, 103911, 74482, 198, 10110, 20713, 7705, 113116, 109904, 71634, 108744, 30512, 103846, 100604, 198, 97518, 107792, 37823, 65299, 68759, 78459, 15682, 71634, 108744, 16556, 103429, 103397, 29295, 109161, 33208, 54926, 107803, 115991, 33541, 1811, 103429, 95221, 58426, 102944, 16144, 71634, 108744, 30512, 15682, 100204, 62004, 104654, 30512, 109768, 47884, 17905, 113245, 71634, 108744, 30512, 109020, 103854, 47884, 103846, 100604, 105908, 107693, 38641, 9174, 51385, 23187, 56051, 113116, 121894, 16556, 121410, 9080, 30512, 103188, 48154, 17663, 103846, 5486, 115364, 30512, 121894, 30512, 113954, 15024, 5486, 57326, 112718, 125456, 16556, 113727, 112160, 17792, 16556, 101128, 102, 17129, 100604, 104654, 30512, 64209, 115856, 76622, 17129, 109954, 198, 10110, 25963, 7705, 105509, 16556, 33655, 114774, 17663, 16995, 104654, 117501, 30512, 64531, 105262, 198, 108729, 9554, 102052, 5486, 97518, 107792, 20230, 109972, 106529, 30512, 58318, 119841, 106390, 29430, 16144, 104654, 117501, 30512, 64531, 58942, 33541, 1811, 120094, 45829, 20230, 103605, 30369, 104654, 5486, 102832, 67075, 20230, 107608, 62004, 16144, 52927, 108638, 16556, 5486, 33014, 30512, 106142, 71289, 30813, 100604, 52927, 108638, 16144, 33655, 30297, 5486, 38574, 104364, 30512, 103470, 17663, 104309, 109972, 106529, 107380, 100604, 104654, 117501, 30512, 64531, 105262, 105908, 109215, 38641, 9174, 14711, 220, 66115, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 103911, 103181, 120098, 198, 10110, 20713, 7705, 66953, 93488, 117718, 18655, 103468, 102456, 30926, 54926, 198, 83747, 33857, 72661, 66953, 93488, 117718, 18655, 103468, 102456, 30926, 30512, 64209, 115856, 76622, 33541, 1811, 115612, 26854, 102456, 30926, 109519, 25333, 15682, 124897, 29295, 5486, 108729, 9554, 102052, 5486, 33354, 222, 53953, 5486, 102212, 108171, 5486, 107079, 5486, 115371, 5486, 11239, 113, 110745, 117203, 105107, 25446, 5486, 111528, 105107, 25446, 104309, 30512, 17129, 25827, 103854, 103171, 47884, 99046, 224, 18655, 39926, 72315, 9174, 10110, 25963, 7705, 119049, 107079, 126694, 30369, 103424, 105284, 112568, 25827, 2243, 109, 47884, 105284, 30512, 99046, 224, 18655, 54926, 198, 97518, 107792, 37823, 65299, 68759, 78459, 101983, 104533, 71005, 109519, 71289, 103429, 103397, 112212, 37087, 96356, 16144, 119049, 107079, 29295, 114485, 31431, 33541, 109807, 114485, 100472, 119049, 107079, 116825, 109749, 103846, 103424, 105284, 47307, 115695, 29220, 105284, 30512, 109431, 102769, 20230, 99046, 224, 18655, 39926, 72315, 9174, 10110, 34617, 7705, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 104309, 30512, 105843, 17620, 99046, 224, 18655, 54926, 198, 15120, 118821, 102456, 53953, 20230, 35818, 108385, 30369, 100909, 103470, 118969, 75694, 17129, 16144, 102456, 53953, 163, 65620, 53610, 33208, 53953, 5486, 47307, 115695, 29220, 105284, 5486, 91482, 47307, 101198, 16073, 5486, 101198, 102750, 32131, 33710, 104309, 66953, 119930, 114652, 99046, 224, 18655, 54926, 105908, 107693, 38641, 9174, 97518, 107792, 37823, 65299, 68759, 78459, 102677, 103429, 95221, 15682, 120613, 15682, 114652, 53283, 124195, 61689, 29295, 112160, 27479, 32149, 32149, 104984, 71005, 110104, 104309, 125144, 50338, 116216, 108086, 5486, 108936, 124911, 20230, 105843, 17620, 113954, 84389, 100481, 107515, 9174, 16995, 85791, 16995, 85791, 26854, 71005, 109519, 32977, 107693, 119627, 5486, 41642, 116310, 16144, 114754, 103429, 95221, 30512, 113954, 39926, 46034, 103129, 76622, 109768, 47884, 100909, 112212, 5486, 103429, 95221, 126636, 112495, 31634, 63212, 103195, 71634, 108744, 32977, 50338, 33420, 125545, 9174, 121648, 98369, 32977, 122485, 16556, 101128, 102, 126843, 5486, 41642, 116310, 71289, 114363, 103722, 103242, 123160, 46034, 103129, 76622, 30512, 108882, 110993, 112535, 101682, 107441, 108608, 103378, 102395, 109431, 26854, 104654, 30512, 108167, 114941, 103801, 109954, 9174, 37271, 18904, 16144, 123011, 62004, 220, 20713, 7705, 37823, 65299, 68759, 78459, 16144, 46702, 118821, 85707, 23538, 111571, 103397, 107118, 220, 25963, 7705, 37823, 65299, 68759, 78459, 107809, 23538, 9458, 106968, 23538, 16144, 111571, 103397, 107118, 220, 34617, 7705, 37823, 65299, 68759, 78459, 16144, 36668, 26854, 25963, 118821, 113385, 107118, 220, 46702, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 64810, 122981, 116696, 48552, 111831, 220, 44597, 7705, 37823, 65299, 68759, 78459, 16144, 25963, 104091, 104770, 16144, 111800, 112984, 41007, 220, 60596, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 71005, 109519, 41007, 107118, 220, 66224, 7705, 37823, 65299, 68759, 78459, 16144, 71005, 109519, 123470, 25963, 118821, 103911, 74482, 107118, 220, 66115, 7705, 37823, 65299, 68759, 78459, 16144, 34617, 118821, 103911, 103181, 120098, 107118, 198, 12, 105032, 47307, 41758, 128001, 128000, 27798, 77219, 124720, 871, 45631, 17297, 57942, 95, 10110, 102780, 7705, 10646, 16144, 111571, 103397, 104309, 109853, 16144, 87177, 16144, 77219, 124720, 198, 33334, 15682, 101200, 123231, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 5486, 32149, 32149, 110792, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 107301, 27384, 102212, 36761, 38641, 9174, 107795, 32977, 102987, 109709, 5486, 102780, 32977, 19732, 29295, 5486, 106142, 107290, 109749, 39177, 23538, 117084, 50834, 79721, 101832, 9468, 235, 223, 198, 110924, 16556, 5486, 102780, 16144, 118124, 71289, 32149, 32149, 19732, 29295, 108631, 16995, 102677, 121894, 16556, 33334, 101128, 102, 64121, 120332, 32977, 16995, 33503, 42891, 116826, 30369, 16144, 111769, 123253, 32149, 95532, 37271, 18904, 15682, 5486, 102780, 16144, 118124, 9458, 32149, 32149, 110792, 108631, 64121, 107407, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 16937, 104873, 109853, 108948, 87177, 15024, 30512, 109768, 105898, 16995, 106046, 61689, 9174, 9458, 103293, 5486, 72718, 50834, 38144, 55031, 5486, 16, 105564, 30832, 29295, 108631, 16995, 9174, 9458, 102780, 16144, 118124, 29295, 110567, 16995, 105933, 112391, 107407, 9174, 9458, 101544, 16995, 82973, 5486, 80195, 107462, 104533, 102780, 16144, 118124, 20230, 108631, 64121, 71289, 21105, 111, 33121, 29295, 16556, 38144, 109749, 9174, 9458, 102780, 16144, 118124, 104865, 32149, 110792, 105494, 71289, 74090, 119870, 126843, 16144, 30591, 115926, 29295, 108631, 16995, 9174, 102677, 16937, 104873, 107407, 126513, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 16937, 104873, 102677, 102944, 29295, 107750, 126832, 32149, 110241, 33121, 107515, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 107118, 5486, 67645, 16144, 103826, 26854, 102944, 32149, 126130, 87177, 30512, 109768, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 9458, 102780, 104792, 119049, 115716, 15682, 31195, 198, 102780, 16144, 118124, 104865, 32149, 110792, 110135, 55031, 20, 22656, 16144, 64467, 16144, 122382, 102831, 16144, 110135, 112649, 107441, 5486, 15355, 229, 103397, 16144, 101921, 109, 16144, 106592, 16995, 61689, 9174, 107734, 111017, 103306, 15682, 111476, 9458, 102780, 16144, 118124, 16144, 39880, 113335, 30512, 118551, 54926, 9174, 102780, 16144, 104486, 16144, 110135, 15682, 115132, 113335, 103397, 10110, 13870, 241, 103397, 7705, 121711, 5486, 33014 ]
[ 30358, 30512, 46456, 105262, 106391, 67178, 101983, 103836, 16144, 119627, 111476, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 119735, 110371, 39880, 113335, 30512, 13870, 241, 16144, 13870, 99, 119775, 93298, 16073, 19732, 105714, 30369, 118733, 46456, 105262, 107734, 111017, 198, 9458, 111600, 30358, 126101, 127852, 107666, 30512, 107246, 110226, 54926, 198, 30590, 28190, 20230, 102780, 29295, 30177, 30590, 15024, 5486, 111600, 30358, 29295, 21601, 78183, 100472, 110018, 20230, 5486, 30590, 28190, 117758, 127852, 107666, 30512, 107246, 110226, 54926, 29220, 26269, 104272, 16144, 107734, 111017, 198, 51330, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 20230, 103721, 108, 31431, 104196, 15024, 109972, 111600, 29295, 32149, 32149, 104533, 106116, 105494, 20230, 16937, 104873, 71289, 31809, 65316, 64889, 117068, 29295, 103721, 108, 31431, 104196, 15024, 125119, 30369, 118733, 32149, 32149, 19732, 71289, 102780, 16144, 118124, 20230, 108631, 64121, 29295, 16556, 30369, 102677, 100909, 115717, 33541, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 113385, 109853, 108948, 87177, 15024, 30512, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 113385, 15682, 5486, 20713, 59739, 103378, 126194, 5486, 109242, 9039, 57903, 33541, 9174, 9458, 124011, 109089, 111848, 102780, 16144, 33655, 16995, 120195, 198, 9458, 101544, 82973, 16144, 118013, 117876, 198, 9458, 21601, 106036, 95, 111848, 119049, 48634, 103167, 17297, 198, 9458, 102780, 61075, 16144, 97518, 107792, 29295, 107608, 16995, 198, 9458, 117178, 112624, 33014, 25287, 198, 9458, 21688, 112, 16144, 16937, 77913, 40862, 10110, 29220, 26269, 104272, 34171, 119703, 21688, 112, 23954, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 112649, 117295, 109972, 111600, 15682, 5486, 25963, 59739, 57903, 33541, 9174, 9458, 121819, 117598, 48634, 198, 102780, 16144, 118124, 112649, 117295, 111600, 30358, 71289, 102780, 29295, 100815, 30590, 56051, 125344, 127852, 107666, 16144, 106592, 16995, 61689, 9174, 9458, 17044, 121, 73686, 48634, 198, 102780, 30512, 115064, 112, 31431, 121406, 126101, 73686, 42891, 105714, 110071, 48634, 16144, 106592, 16995, 61689, 9174, 85701, 120577, 109972, 111600, 29295, 91875, 19967, 71289, 127749, 112212, 32149, 117295, 118733, 108631, 64121, 29295, 16556, 30369, 102677, 100909, 115717, 33541, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 116771, 110071, 16937, 104873, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 116771, 110071, 16937, 104873, 15682, 31195, 198, 9458, 103293, 5486, 72718, 50834, 38144, 55031, 15120, 105564, 118322, 108631, 64121, 198, 9458, 32149, 32149, 19732, 47000, 60358, 16144, 108631, 64121, 19732, 74090, 119870, 126843, 10110, 102780, 16144, 118124, 107809, 106442, 120732, 108631, 64121, 198, 9458, 101544, 82973, 5486, 80195, 59739, 19732, 102780, 118124, 20230, 108631, 64121, 71289, 21105, 111, 33121, 198, 9458, 101544, 47884, 105564, 102334, 31431, 5486, 102149, 104533, 102780, 118124, 29295, 108631, 47884, 109020, 198, 9458, 102780, 29295, 30590, 28190, 20230, 100815, 47884, 112661, 122756, 102780, 16144, 118124, 20230, 108631, 64121, 198, 9458, 80195, 103836, 126101, 110567, 16995, 112391, 115991, 5486, 16, 117073, 105721, 78183, 112586, 108631, 64121, 29295, 104328, 67645, 47884, 109020, 198, 34226, 20230, 109161, 33208, 39926, 114732, 19732, 31195, 198, 9458, 111930, 113, 110135, 77062, 246, 29295, 108608, 198, 10110, 111930, 113, 110135, 107294, 47884, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 29295, 105150, 100990, 119, 15024, 5486, 110135, 20230, 104721, 33208, 54926, 23954, 9458, 108631, 64121, 30512, 112183, 30297, 57207, 47260, 37823, 29295, 108608, 198, 9458, 51385, 106353, 116446, 102532, 32977, 102780, 118124, 29295, 108631, 104004, 198, 102083, 100472, 16937, 104873, 29295, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 102052, 5486, 57903, 33541, 9174, 51330, 105933, 16937, 104873, 29295, 64121, 110071, 24273, 15682, 5486, 103856, 62004, 16144, 111800, 112984, 5486, 102923, 103991, 114475, 105784, 106592, 33334, 53508, 100, 62004, 78434, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103359, 117120, 25333, 109853, 108948, 87177, 30512, 109768, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103359, 117120, 25333, 15682, 31195, 198, 9458, 126843, 15682, 5486, 51385, 106353, 117657, 10110, 108631, 64121, 107407, 126513, 5486, 111090, 57207, 94550, 117824, 30297, 23954, 9458, 71634, 44971, 108981, 117824, 30297, 198, 10110, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 71289, 39880, 62903, 108744, 101921, 109, 16144, 115289, 122279, 34171, 30512, 45736, 109315, 118733, 109972, 111600, 29295, 114485, 30369, 23954, 9458, 21688, 112, 71289, 76171, 102741, 64178, 16144, 122489, 198, 10110, 102780, 16144, 118124, 16144, 127852, 107666, 30512, 107246, 110226, 54926, 29220, 26269, 104272, 34171, 16144, 101182, 21688, 112, 30512, 123259, 102334, 31431, 5486, 76171, 102741, 64178, 30512, 99741, 100815, 54926, 118733, 5486, 102780, 16144, 118124, 112649, 117295, 121819, 123457, 34208, 33503, 102639, 5486, 17620, 107471, 107726, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 111363, 109972, 111600, 29295, 117355, 114485, 107001, 23954, 9458, 57326, 64178, 16556, 105564, 23039, 71289, 53610, 126503, 71289, 37026, 108436, 101918, 198, 10110, 102780, 104792, 20230, 109972, 111600, 29295, 32149, 55031, 101860, 5486, 64209, 57942, 118, 69978, 101704, 48634, 16144, 103167, 17297, 30512, 103181, 105557, 5486, 33014, 123457, 102936, 114267, 47884, 100604, 24273, 102052, 5486, 117896, 29295, 90962, 22398, 22398, 39850, 38641, 23954, 110382, 126328, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103359, 117120, 25333, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 112197, 87177, 15024, 30512, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103359, 117120, 25333, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 30512, 25963, 59739, 5486, 48154, 126362, 78434, 9174, 9458, 102780, 104792, 119049, 198, 9458, 17297, 122072, 46091, 103892, 119049, 198, 16144, 25963, 59739, 115717, 33541, 9174, 126843, 15682, 5486, 102780, 104792, 119049, 16144, 71634, 44971, 108981, 38641, 9174, 9458, 102780, 16144, 64467, 30512, 110137, 81219, 15024, 5486, 102780, 61075, 30512, 95543, 33503, 39926, 5486, 102780, 16144, 118124, 30512, 508, 21909, 966, 47018, 110137, 81219, 17663, 104466, 78434, 9174, 33671, 20230, 5486, 17297, 122072, 46091, 103892, 119049, 19732, 117952, 104028, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 16144, 71634, 44971, 108981, 38641, 9174, 9458, 102780, 104792, 119049, 16144, 71634, 44971, 108981, 117824, 30297, 31634, 108761, 16556, 5486, 106644, 121710, 111842, 104735, 251, 30512, 110137, 81219, 15024, 5486, 102780, 118124, 55031, 105104, 126910, 15682, 105557, 30512, 966, 47018, 5486, 110137, 81219, 109768, 50834, 33541, 9174, 110924, 16556, 102780, 16144, 118124, 71289, 32149, 32149, 19732, 29295, 108631, 16995, 110115, 124563, 112371, 105104, 126910, 15682, 105557, 16144, 71634, 44971, 108981, 117824, 30297, 120900, 106046, 100472, 24273, 32977, 16995, 33503, 42891, 116826, 30369, 16144, 111769, 123253, 32149, 95532, 110924, 16556, 124563, 112371, 5486, 105104, 126910, 15682, 105557, 30512, 71634, 44971, 108981, 117824, 30297, 19732, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103911, 103181, 20230, 19361, 126120, 26854, 104865, 126130, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 119735, 5486, 32149, 32149, 110792, 110135, 30512, 75910, 39926, 115132, 62903, 108744, 101921, 109, 71289, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 10110, 17297, 122072, 46091, 103892, 119049, 7705, 112031, 59739, 105722, 76947, 61689, 9174, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 10110, 17297, 122072, 46091, 103892, 119049, 119735, 5486, 101921, 241, 113351, 119049, 19732, 107461, 32131, 39850, 119049, 16144, 17, 104091, 104770, 16144, 119049, 107079, 16144, 106592, 115552, 78434, 9174, 51330, 39880, 62903, 108744, 101921, 109, 71289, 105104, 126910, 15682, 105557, 10110, 17297, 122072, 46091, 103892, 119049, 7705, 29295, 107608, 115737, 104533, 31195, 198, 102780, 61075, 16144, 105068, 23602, 230, 16144, 31540, 91875, 103438, 29295, 114485, 31431, 5486, 33014, 30358, 29295, 74482, 85791, 120332, 112649, 107277, 126172, 115737, 31431, 33541, 9174, 120550, 104533, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 111363, 109972, 111600, 29295, 32149, 107277, 5486, 108631, 64121, 29295, 125119, 30369, 102677, 100909, 115717, 33541, 9174, 102677, 118733, 378, 120, 30337, 236, 106609, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 10110, 17297, 122072, 46091, 103892, 119049, 120732, 71634, 44971, 108981, 117824, 16995, 5486, 115289, 122279, 116446, 33334, 47884, 102677, 105908, 5486, 107693, 121711, 33541, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 103911, 103181, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 9458, 126843, 15682, 110371, 25580, 55031, 33334, 87177, 103792, 102780, 104792, 5486, 17297, 122072, 46091, 103892, 119049, 16144, 71634, 44971, 108981, 30512, 9080, 119400, 55031, 23039, 30297, 9174, 9458, 21688, 112, 71289, 76171, 102741, 64178, 16144, 122489, 32977, 23039, 30297, 19732, 34226, 20230, 103911, 103181, 115717, 33541, 9174, 9458, 119049, 123457, 109205, 69978, 9458, 70141, 17905, 16144, 101399, 20230, 5486, 47307, 90962, 33710, 104603, 68581, 119534, 117401, 30512, 108167, 17701, 104028, 9174, 47307, 90962, 33710, 30512, 30590, 28190, 20230, 121536, 50834, 5486, 102780, 30512, 17905, 20230, 22324, 102532, 5486, 102780, 16144, 64467, 16556, 47307, 90962, 33710, 30512, 111665, 30369, 10110, 19012, 112, 104004, 123505, 9458, 112303, 119870, 64121, 71289, 103621, 122981, 103672, 64178, 30512, 107740, 15024, 5486, 102780, 118124, 30512, 102717, 104699, 17663, 9174, 9458, 109020, 103854, 47884, 5486, 122373, 71289, 74090, 120938, 30512, 105564, 102334, 31431, 5486, 102149, 100472, 31431, 54926, 9174, 102677, 105908, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 103911, 103181, 20230, 126521, 19732, 116216, 61689, 9174, 112371, 104328, 5486, 9080, 40053, 104654, 20230, 108167, 17701, 106824, 64121, 38144, 112987, 32149, 29295, 112130, 95532, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 77181, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 102923, 103991, 32977, 23039, 76947, 108086, 33541, 9174, 102780, 104792, 101921, 109, 115716, 10110, 107429, 111, 104792, 119049, 115716, 119735, 5486, 32149, 32149, 110792, 108631, 64121, 121142, 103470, 5486, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 10110, 17297, 122072, 46091, 103892, 119049, 7705, 32977, 116690, 103792, 103846, 5486, 119049, 107079, 16144, 102040, 37823, 71289, 33655, 16995, 120195, 102083, 100472, 100909, 103378, 126194, 5486, 110783, 110095, 29295, 109161, 16995, 105908, 113385, 16556, 5486, 111006, 16144, 15722, 103, 64121, 71289, 110135, 114457, 16144, 15722, 103, 64121, 29295, 21990, 100204, 5486, 114948, 16144, 47260, 37823, 9458, 115519, 16144, 108631, 64121, 115717, 5486, 102780, 16144, 33655, 16995, 24273, 20230, 109606, 107407, 107803, 71289, 5486, 37026, 104063, 101365, 106613, 16144, 108267, 33121, 104309, 32977, 116690, 103792, 103846, 5486, 71634, 44971, 108981, 71289, 20251, 44971, 118928, 94550, 102083, 100472, 64810, 33710, 96841, 109, 39880, 103378, 77181, 18904, 109095, 84389, 100604, 107803, 115991, 33541, 9174, 40265, 94923, 77181, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 111848, 32149, 32149, 110792, 108631, 64121, 30512, 117355, 114485, 107726, 100481, 47884, 102923, 103991, 103306, 5486, 101721, 95221, 30512, 11883, 102334, 102923, 103991, 117824, 16995, 108631, 64121, 16144, 101182, 105494, 16144, 108631, 64121, 71289, 41642, 115195, 16144, 119049, 107079, 30512, 115289, 33503, 32149, 47884, 15024, 5486, 165, 104247, 116474, 1242, 47, 30512, 11883, 102532, 102923, 103991, 117824, 16995, 5486, 37026, 104063, 101365, 106613, 30512, 64531, 58942, 5486, 111006, 16144, 74090, 55038, 117282, 110135, 114457, 20230, 110135, 114457, 100543, 107, 37656, 117824, 30297, 118733, 111006, 16144, 15722, 103, 64121, 71289, 110135, 114457, 16144, 78525, 44971, 30512, 104873, 64531, 15024, 5486, 110783, 110095, 16144, 109161, 30813, 30512, 64531, 58942, 100481, 50834, 5486, 72404, 79785, 103682, 116474, 126507, 103672, 33710, 57933, 78767, 63415, 68759, 25197, 110305, 71493, 44971, 52414, 121655, 125702, 11883, 54926, 118733, 102780, 104792, 101921, 109, 115716, 43444, 102780, 104792, 119049, 115716, 102849, 111848, 32149, 32149, 110792, 108631, 64121, 32977, 18904, 109095, 109768, 50834, 33541, 9174, 115519, 16144, 108631, 64121, 5486, 114948, 16144, 108631, 64121, 5486, 105068, 16325, 16144, 105714, 31431, 5486, 114948, 16144, 118314, 31431, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 5486, 32149, 32149, 110792, 108631, 64121, 5486, 109060, 123429, 111848, 104004, 43514, 76537, 43514, 104309, 5486, 102397, 103633, 31640, 109432, 103449, 60358, 115195, 16556, 102923, 103991, 94923, 126130, 106767, 119432, 24273, 15682, 21043, 66776, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 5486, 48154, 37507, 94923, 17297, 65316, 9174, 102208, 104091, 113614, 33563, 117126, 18655, 121247, 5486, 8239, 112, 126462, 5486, 109060, 123429, 117271, 18655, 121247, 14, 40526, 47260, 101198, 16556, 107624, 106053, 9458, 90962, 22398, 22398, 39850, 101983, 103836, 51385, 64209, 9458, 105509, 16144, 64531, 110135, 94923, 38641, 9174, 40265, 94923, 77181, 109060, 123429, 117271, 30512, 106161, 39177, 101682, 76622, 122382, 126020, 33541, 9174, 64531, 110135, 94923, 72661, 109060, 123429, 20230, 114876 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30358, 30512, 46456, 105262, 106391, 67178, 101983, 103836, 16144, 119627, 111476, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 119735, 110371, 39880, 113335, 30512, 13870, 241, 16144, 13870, 99, 119775, 93298, 16073, 19732, 105714, 30369, 118733, 46456, 105262, 107734, 111017, 198, 9458, 111600, 30358, 126101, 127852, 107666, 30512, 107246, 110226, 54926, 198, 30590, 28190, 20230, 102780, 29295, 30177, 30590, 15024, 5486, 111600, 30358, 29295, 21601, 78183, 100472, 110018, 20230, 5486, 30590, 28190, 117758, 127852, 107666, 30512, 107246, 110226, 54926, 29220, 26269, 104272, 16144, 107734, 111017, 198, 51330, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 20230, 103721, 108, 31431, 104196, 15024, 109972, 111600, 29295, 32149, 32149, 104533, 106116, 105494, 20230, 16937, 104873, 71289, 31809, 65316, 64889, 117068, 29295, 103721, 108, 31431, 104196, 15024, 125119, 30369, 118733, 32149, 32149, 19732, 71289, 102780, 16144, 118124, 20230, 108631, 64121, 29295, 16556, 30369, 102677, 100909, 115717, 33541, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 113385, 109853, 108948, 87177, 15024, 30512, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 113385, 15682, 5486, 20713, 59739, 103378, 126194, 5486, 109242, 9039, 57903, 33541, 9174, 9458, 124011, 109089, 111848, 102780, 16144, 33655, 16995, 120195, 198, 9458, 101544, 82973, 16144, 118013, 117876, 198, 9458, 21601, 106036, 95, 111848, 119049, 48634, 103167, 17297, 198, 9458, 102780, 61075, 16144, 97518, 107792, 29295, 107608, 16995, 198, 9458, 117178, 112624, 33014, 25287, 198, 9458, 21688, 112, 16144, 16937, 77913, 40862, 10110, 29220, 26269, 104272, 34171, 119703, 21688, 112, 23954, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 112649, 117295, 109972, 111600, 15682, 5486, 25963, 59739, 57903, 33541, 9174, 9458, 121819, 117598, 48634, 198, 102780, 16144, 118124, 112649, 117295, 111600, 30358, 71289, 102780, 29295, 100815, 30590, 56051, 125344, 127852, 107666, 16144, 106592, 16995, 61689, 9174, 9458, 17044, 121, 73686, 48634, 198, 102780, 30512, 115064, 112, 31431, 121406, 126101, 73686, 42891, 105714, 110071, 48634, 16144, 106592, 16995, 61689, 9174, 85701, 120577, 109972, 111600, 29295, 91875, 19967, 71289, 127749, 112212, 32149, 117295, 118733, 108631, 64121, 29295, 16556, 30369, 102677, 100909, 115717, 33541, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 116771, 110071, 16937, 104873, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 116771, 110071, 16937, 104873, 15682, 31195, 198, 9458, 103293, 5486, 72718, 50834, 38144, 55031, 15120, 105564, 118322, 108631, 64121, 198, 9458, 32149, 32149, 19732, 47000, 60358, 16144, 108631, 64121, 19732, 74090, 119870, 126843, 10110, 102780, 16144, 118124, 107809, 106442, 120732, 108631, 64121, 198, 9458, 101544, 82973, 5486, 80195, 59739, 19732, 102780, 118124, 20230, 108631, 64121, 71289, 21105, 111, 33121, 198, 9458, 101544, 47884, 105564, 102334, 31431, 5486, 102149, 104533, 102780, 118124, 29295, 108631, 47884, 109020, 198, 9458, 102780, 29295, 30590, 28190, 20230, 100815, 47884, 112661, 122756, 102780, 16144, 118124, 20230, 108631, 64121, 198, 9458, 80195, 103836, 126101, 110567, 16995, 112391, 115991, 5486, 16, 117073, 105721, 78183, 112586, 108631, 64121, 29295, 104328, 67645, 47884, 109020, 198, 34226, 20230, 109161, 33208, 39926, 114732, 19732, 31195, 198, 9458, 111930, 113, 110135, 77062, 246, 29295, 108608, 198, 10110, 111930, 113, 110135, 107294, 47884, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 29295, 105150, 100990, 119, 15024, 5486, 110135, 20230, 104721, 33208, 54926, 23954, 9458, 108631, 64121, 30512, 112183, 30297, 57207, 47260, 37823, 29295, 108608, 198, 9458, 51385, 106353, 116446, 102532, 32977, 102780, 118124, 29295, 108631, 104004, 198, 102083, 100472, 16937, 104873, 29295, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 102052, 5486, 57903, 33541, 9174, 51330, 105933, 16937, 104873, 29295, 64121, 110071, 24273, 15682, 5486, 103856, 62004, 16144, 111800, 112984, 5486, 102923, 103991, 114475, 105784, 106592, 33334, 53508, 100, 62004, 78434, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103359, 117120, 25333, 109853, 108948, 87177, 30512, 109768, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103359, 117120, 25333, 15682, 31195, 198, 9458, 126843, 15682, 5486, 51385, 106353, 117657, 10110, 108631, 64121, 107407, 126513, 5486, 111090, 57207, 94550, 117824, 30297, 23954, 9458, 71634, 44971, 108981, 117824, 30297, 198, 10110, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 71289, 39880, 62903, 108744, 101921, 109, 16144, 115289, 122279, 34171, 30512, 45736, 109315, 118733, 109972, 111600, 29295, 114485, 30369, 23954, 9458, 21688, 112, 71289, 76171, 102741, 64178, 16144, 122489, 198, 10110, 102780, 16144, 118124, 16144, 127852, 107666, 30512, 107246, 110226, 54926, 29220, 26269, 104272, 34171, 16144, 101182, 21688, 112, 30512, 123259, 102334, 31431, 5486, 76171, 102741, 64178, 30512, 99741, 100815, 54926, 118733, 5486, 102780, 16144, 118124, 112649, 117295, 121819, 123457, 34208, 33503, 102639, 5486, 17620, 107471, 107726, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 111363, 109972, 111600, 29295, 117355, 114485, 107001, 23954, 9458, 57326, 64178, 16556, 105564, 23039, 71289, 53610, 126503, 71289, 37026, 108436, 101918, 198, 10110, 102780, 104792, 20230, 109972, 111600, 29295, 32149, 55031, 101860, 5486, 64209, 57942, 118, 69978, 101704, 48634, 16144, 103167, 17297, 30512, 103181, 105557, 5486, 33014, 123457, 102936, 114267, 47884, 100604, 24273, 102052, 5486, 117896, 29295, 90962, 22398, 22398, 39850, 38641, 23954, 110382, 126328, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103359, 117120, 25333, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 112197, 87177, 15024, 30512, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103359, 117120, 25333, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 30512, 25963, 59739, 5486, 48154, 126362, 78434, 9174, 9458, 102780, 104792, 119049, 198, 9458, 17297, 122072, 46091, 103892, 119049, 198, 16144, 25963, 59739, 115717, 33541, 9174, 126843, 15682, 5486, 102780, 104792, 119049, 16144, 71634, 44971, 108981, 38641, 9174, 9458, 102780, 16144, 64467, 30512, 110137, 81219, 15024, 5486, 102780, 61075, 30512, 95543, 33503, 39926, 5486, 102780, 16144, 118124, 30512, 508, 21909, 966, 47018, 110137, 81219, 17663, 104466, 78434, 9174, 33671, 20230, 5486, 17297, 122072, 46091, 103892, 119049, 19732, 117952, 104028, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 16144, 71634, 44971, 108981, 38641, 9174, 9458, 102780, 104792, 119049, 16144, 71634, 44971, 108981, 117824, 30297, 31634, 108761, 16556, 5486, 106644, 121710, 111842, 104735, 251, 30512, 110137, 81219, 15024, 5486, 102780, 118124, 55031, 105104, 126910, 15682, 105557, 30512, 966, 47018, 5486, 110137, 81219, 109768, 50834, 33541, 9174, 110924, 16556, 102780, 16144, 118124, 71289, 32149, 32149, 19732, 29295, 108631, 16995, 110115, 124563, 112371, 105104, 126910, 15682, 105557, 16144, 71634, 44971, 108981, 117824, 30297, 120900, 106046, 100472, 24273, 32977, 16995, 33503, 42891, 116826, 30369, 16144, 111769, 123253, 32149, 95532, 110924, 16556, 124563, 112371, 5486, 105104, 126910, 15682, 105557, 30512, 71634, 44971, 108981, 117824, 30297, 19732, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 108631, 64121, 16144, 103911, 103181, 20230, 19361, 126120, 26854, 104865, 126130, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 119735, 5486, 32149, 32149, 110792, 110135, 30512, 75910, 39926, 115132, 62903, 108744, 101921, 109, 71289, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 10110, 17297, 122072, 46091, 103892, 119049, 7705, 112031, 59739, 105722, 76947, 61689, 9174, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 10110, 17297, 122072, 46091, 103892, 119049, 119735, 5486, 101921, 241, 113351, 119049, 19732, 107461, 32131, 39850, 119049, 16144, 17, 104091, 104770, 16144, 119049, 107079, 16144, 106592, 115552, 78434, 9174, 51330, 39880, 62903, 108744, 101921, 109, 71289, 105104, 126910, 15682, 105557, 10110, 17297, 122072, 46091, 103892, 119049, 7705, 29295, 107608, 115737, 104533, 31195, 198, 102780, 61075, 16144, 105068, 23602, 230, 16144, 31540, 91875, 103438, 29295, 114485, 31431, 5486, 33014, 30358, 29295, 74482, 85791, 120332, 112649, 107277, 126172, 115737, 31431, 33541, 9174, 120550, 104533, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 111363, 109972, 111600, 29295, 32149, 107277, 5486, 108631, 64121, 29295, 125119, 30369, 102677, 100909, 115717, 33541, 9174, 102677, 118733, 378, 120, 30337, 236, 106609, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 10110, 17297, 122072, 46091, 103892, 119049, 120732, 71634, 44971, 108981, 117824, 16995, 5486, 115289, 122279, 116446, 33334, 47884, 102677, 105908, 5486, 107693, 121711, 33541, 9174, 33671, 15682, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 103911, 103181, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 9458, 126843, 15682, 110371, 25580, 55031, 33334, 87177, 103792, 102780, 104792, 5486, 17297, 122072, 46091, 103892, 119049, 16144, 71634, 44971, 108981, 30512, 9080, 119400, 55031, 23039, 30297, 9174, 9458, 21688, 112, 71289, 76171, 102741, 64178, 16144, 122489, 32977, 23039, 30297, 19732, 34226, 20230, 103911, 103181, 115717, 33541, 9174, 9458, 119049, 123457, 109205, 69978, 9458, 70141, 17905, 16144, 101399, 20230, 5486, 47307, 90962, 33710, 104603, 68581, 119534, 117401, 30512, 108167, 17701, 104028, 9174, 47307, 90962, 33710, 30512, 30590, 28190, 20230, 121536, 50834, 5486, 102780, 30512, 17905, 20230, 22324, 102532, 5486, 102780, 16144, 64467, 16556, 47307, 90962, 33710, 30512, 111665, 30369, 10110, 19012, 112, 104004, 123505, 9458, 112303, 119870, 64121, 71289, 103621, 122981, 103672, 64178, 30512, 107740, 15024, 5486, 102780, 118124, 30512, 102717, 104699, 17663, 9174, 9458, 109020, 103854, 47884, 5486, 122373, 71289, 74090, 120938, 30512, 105564, 102334, 31431, 5486, 102149, 100472, 31431, 54926, 9174, 102677, 105908, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 103911, 103181, 20230, 126521, 19732, 116216, 61689, 9174, 112371, 104328, 5486, 9080, 40053, 104654, 20230, 108167, 17701, 106824, 64121, 38144, 112987, 32149, 29295, 112130, 95532, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 77181, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 120732, 102923, 103991, 32977, 23039, 76947, 108086, 33541, 9174, 102780, 104792, 101921, 109, 115716, 10110, 107429, 111, 104792, 119049, 115716, 119735, 5486, 32149, 32149, 110792, 108631, 64121, 121142, 103470, 5486, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 10110, 17297, 122072, 46091, 103892, 119049, 7705, 32977, 116690, 103792, 103846, 5486, 119049, 107079, 16144, 102040, 37823, 71289, 33655, 16995, 120195, 102083, 100472, 100909, 103378, 126194, 5486, 110783, 110095, 29295, 109161, 16995, 105908, 113385, 16556, 5486, 111006, 16144, 15722, 103, 64121, 71289, 110135, 114457, 16144, 15722, 103, 64121, 29295, 21990, 100204, 5486, 114948, 16144, 47260, 37823, 9458, 115519, 16144, 108631, 64121, 115717, 5486, 102780, 16144, 33655, 16995, 24273, 20230, 109606, 107407, 107803, 71289, 5486, 37026, 104063, 101365, 106613, 16144, 108267, 33121, 104309, 32977, 116690, 103792, 103846, 5486, 71634, 44971, 108981, 71289, 20251, 44971, 118928, 94550, 102083, 100472, 64810, 33710, 96841, 109, 39880, 103378, 77181, 18904, 109095, 84389, 100604, 107803, 115991, 33541, 9174, 40265, 94923, 77181, 5486, 102780, 104792, 101921, 109, 115716, 10110, 102780, 104792, 119049, 115716, 7705, 111848, 32149, 32149, 110792, 108631, 64121, 30512, 117355, 114485, 107726, 100481, 47884, 102923, 103991, 103306, 5486, 101721, 95221, 30512, 11883, 102334, 102923, 103991, 117824, 16995, 108631, 64121, 16144, 101182, 105494, 16144, 108631, 64121, 71289, 41642, 115195, 16144, 119049, 107079, 30512, 115289, 33503, 32149, 47884, 15024, 5486, 165, 104247, 116474, 1242, 47, 30512, 11883, 102532, 102923, 103991, 117824, 16995, 5486, 37026, 104063, 101365, 106613, 30512, 64531, 58942, 5486, 111006, 16144, 74090, 55038, 117282, 110135, 114457, 20230, 110135, 114457, 100543, 107, 37656, 117824, 30297, 118733, 111006, 16144, 15722, 103, 64121, 71289, 110135, 114457, 16144, 78525, 44971, 30512, 104873, 64531, 15024, 5486, 110783, 110095, 16144, 109161, 30813, 30512, 64531, 58942, 100481, 50834, 5486, 72404, 79785, 103682, 116474, 126507, 103672, 33710, 57933, 78767, 63415, 68759, 25197, 110305, 71493, 44971, 52414, 121655, 125702, 11883, 54926, 118733, 102780, 104792, 101921, 109, 115716, 43444, 102780, 104792, 119049, 115716, 102849, 111848, 32149, 32149, 110792, 108631, 64121, 32977, 18904, 109095, 109768, 50834, 33541, 9174, 115519, 16144, 108631, 64121, 5486, 114948, 16144, 108631, 64121, 5486, 105068, 16325, 16144, 105714, 31431, 5486, 114948, 16144, 118314, 31431, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 5486, 32149, 32149, 110792, 108631, 64121, 5486, 109060, 123429, 111848, 104004, 43514, 76537, 43514, 104309, 5486, 102397, 103633, 31640, 109432, 103449, 60358, 115195, 16556, 102923, 103991, 94923, 126130, 106767, 119432, 24273, 15682, 21043, 66776, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 5486, 48154, 37507, 94923, 17297, 65316, 9174, 102208, 104091, 113614, 33563, 117126, 18655, 121247, 5486, 8239, 112, 126462, 5486, 109060, 123429, 117271, 18655, 121247, 14, 40526, 47260, 101198, 16556, 107624, 106053, 9458, 90962, 22398, 22398, 39850, 101983, 103836, 51385, 64209, 9458, 105509, 16144, 64531, 110135, 94923, 38641, 9174, 40265, 94923, 77181, 109060, 123429, 117271, 30512, 106161, 39177, 101682, 76622, 122382, 126020, 33541, 9174, 64531, 110135, 94923, 72661, 109060, 123429, 20230, 114876 ]
[ 125167, 24273, 113115, 15024, 198, 37026, 83812, 254, 113160, 33563, 117126, 71289, 115681, 101918, 33563, 117126, 30512, 11883, 102532, 16144, 102923, 103991, 29295, 104736, 62004, 124195, 33541, 9174, 64531, 83799, 48915, 70626, 111363, 33035, 94923, 19732, 112361, 101557, 108, 118835, 42506, 75146, 107253, 16556, 70203, 23187, 84389, 33541, 9174, 91739, 241, 40526, 109972, 106529, 15682, 15, 35757, 220, 38641, 9174, 123429, 117271, 20230, 114715, 72661, 127408, 71289, 95221, 108176, 28542, 126130, 110794, 120332, 15682, 112160, 27479, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 17297, 65316, 9174, 13177, 123429, 20230, 114876, 76947, 114604, 105879, 50021, 111813, 56051, 16995, 66383, 33334, 108044, 58942, 115962, 118145, 27384, 121313, 38641, 106609, 53900, 5486, 40265, 94923, 77181, 8239, 112, 126462, 33563, 117126, 32977, 126543, 84389, 33541, 9174, 8239, 112, 126462, 120332, 15682, 91739, 241, 40526, 109972, 106529, 15, 35757, 10110, 109972, 106529, 35330, 15682, 103599, 7705, 38641, 9174, 33035, 114731, 16325, 71289, 121101, 126867, 107297, 37046, 30512, 39926, 33014, 30512, 108631, 109013, 104983, 102052, 198, 8239, 112, 126462, 33563, 117126, 30512, 126543, 54926, 30926, 29295, 88367, 26854, 105879, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 17297, 65316, 9174, 8239, 112, 126462, 20230, 109215, 26854, 102181, 104770, 9458, 46034, 106307, 50834, 50667, 32977, 96412, 62004, 39880, 45923, 66953, 112900, 107726, 38144, 115962, 50834, 33541, 9174, 127408, 26854, 28542, 71289, 107750, 99397, 28542, 104309, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 198, 13177, 33035, 114731, 16325, 10110, 121101, 16325, 7705, 107297, 37046, 30512, 39926, 114604, 105879, 50021, 111813, 56051, 16995, 66383, 33334, 108044, 58942, 17297, 84389, 81219, 27384, 121313, 38641, 106609, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 5486, 32149, 32149, 110792, 108631, 64121, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 15682, 104284, 101129, 55038, 9458, 101634, 17905, 9458, 102397, 103633, 31640, 109432, 9458, 102397, 103633, 31640, 100783, 239, 29295, 118801, 9458, 106670, 106554, 9080, 27384, 25580, 9458, 49409, 108710, 78228, 102212, 9458, 114053, 58911, 112624, 9458, 101778, 56235, 101365, 9458, 61786, 106670, 106554, 104309, 101778, 105065, 120018, 124752, 71289, 5486, 102397, 103633, 31640, 55038, 9458, 27384, 34208, 101129, 9458, 103350, 19630, 122, 9458, 27384, 101704, 33563, 9458, 47653, 13153, 106719, 101129, 31106, 120, 9458, 78228, 106719, 5486, 108152, 38248, 104, 37823, 29295, 118801, 9458, 30297, 17663, 16995, 5486, 106150, 114035, 104309, 47653, 13153, 101911, 117758, 39880, 122086, 22398, 29295, 103424, 47884, 5486, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 110745, 34208, 101129, 110745, 34208, 101129, 17039, 101129, 5486, 81180, 109, 101129, 5486, 81180, 109, 101129, 102865, 30512, 15682, 100204, 62004, 103633, 105065, 23530, 5486, 106670, 106554, 23530, 5486, 108710, 78228, 102212, 23530, 5486, 106150, 114035, 23530, 105755, 121771, 115867, 24273, 20230, 37507, 94923, 39926, 115962, 102532, 108086, 33541, 9174, 33334, 111006, 16144, 13177, 108631, 64121, 59712, 16937, 104873, 59712, 109060, 123429, 117271, 59712, 109060, 123429, 117271, 50021, 111813, 59712, 8239, 112, 126462, 10646, 104309, 5486, 67645, 16144, 103826, 26854, 30926, 72661, 106391, 16995, 107515, 9174, 101778, 105065, 120018, 124752, 102397, 103633, 31640, 109432, 125217, 605, 47018, 198, 165, 104247, 9458, 110135, 114457, 100543, 107, 37656, 9458, 124011, 109089, 122692, 16937, 104873, 9458, 109060, 123429, 117271, 120456, 26269, 60868, 78767, 9458, 64531, 33014, 9458, 64467, 121819, 198, 11144, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 112479, 103633, 105065, 72099, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 18, 12, 16, 12, 17, 119506, 101129, 91482, 33710, 16, 37, 198, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 104735, 251, 16144, 108631, 64121, 5486, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 107301, 27384, 102212, 36761, 38641, 9174, 107795, 32977, 102987, 109709, 5486, 113786, 29295, 60358, 109669, 102532, 50834, 79721, 101832, 158, 75309, 31643, 198, 117759, 115737, 76947, 47884, 104533, 5486, 33014, 16144, 16937, 104873, 32977, 125119, 31431, 126172, 115737, 31431, 5486, 104735, 251, 16144, 108631, 64121, 107898, 101128, 102, 64121, 120332, 32977, 43240, 117714, 111769, 123253, 32149, 95532, 37271, 18904, 15682, 5486, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 109853, 108948, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 16144, 113385, 16144, 20713, 59739, 20230, 165, 113, 252, 102780, 16144, 16937, 104873, 102677, 102944, 115991, 33541, 9174, 165, 113, 252, 102780, 16144, 16937, 104873, 107118, 31195, 198, 104735, 251, 16144, 32943, 110366, 16144, 165, 113, 252, 102780, 16144, 105494, 16556, 16937, 104873, 29295, 72718, 50834, 30369, 106592, 16995, 61689, 9174, 165, 113, 252, 102780, 107118, 31195, 198, 102057, 104, 49792, 119049, 5486, 116213, 119049, 5486, 103268, 101921, 109, 103826, 119049, 29295, 101921, 109, 104856, 76947, 5486, 104735, 251, 16144, 32943, 110366, 16556, 22398, 102750, 16144, 110135, 120938, 20230, 47000, 119188, 105494, 16144, 106592, 16995, 61689, 9174, 51330, 47000, 119188, 105494, 16144, 83799, 29295, 102472, 78459, 78205, 65299, 16144, 102780, 119775, 91774, 105262, 105879, 5486, 165, 113, 252, 102780, 19732, 117952, 106824, 61689, 9174, 110382, 126328, 5486, 165, 113, 252, 102780, 29295, 108631, 47884, 109020, 113385, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 165, 113, 252, 102780, 29295, 108631, 47884, 109020, 113385, 15682, 31195, 198, 9458, 103188, 27479, 26854, 124011, 109089, 71289, 117401, 198, 9458, 40862, 78183, 100604, 21688, 112, 71289, 51385, 23187, 21105, 103, 16995, 102780, 32977, 19732, 113245, 117401, 198, 9458, 104735, 251, 16144, 33655, 16995, 120195, 16556, 165, 113, 252, 102780, 16144, 103188, 27479, 26854, 110581, 125405, 198, 9458, 124981, 25005, 253, 94550, 122060, 127242, 198, 9458, 105047, 20230, 101544, 16995, 124349, 30512, 102149, 30369, 198, 9458, 55, 107928, 10110, 117383, 114810, 116416, 38248, 95, 125916, 23954, 104735, 251, 29295, 32943, 70141, 50834, 5486, 59739, 17129, 61826, 29295, 48915, 70141, 50834, 101983, 104533, 31195, 104735, 251, 16144, 32943, 110366, 16144, 126238, 105714, 29295, 45736, 109709, 5486, 108631, 64121, 29295, 72718, 50834, 126172, 47884, 109020, 9174, 9458, 119049, 48634, 127242, 198, 9458, 18904, 32943, 102780, 198, 9458, 115289, 122279, 34171, 119703, 198, 9458, 111006, 16144, 66953, 119930, 198, 116806, 22398, 104774, 108958, 30512, 102149, 30369, 198, 123160, 105908, 117375, 39926, 5486, 104735, 251, 16144, 32943, 110366, 16144, 165, 113, 252, 102780, 20230, 108631, 64121, 105879, 30369, 102944, 117084, 103801, 61689, 9174, 33671, 15682, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 116771, 110071, 16937, 104873, 109853, 108948, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 165, 113, 252, 102780, 16144, 108631, 64121, 116771, 110071, 16937, 104873, 15682, 31195, 198, 9458, 104735, 251, 16144, 32943, 110366, 55031, 22398, 102750, 16144, 32943, 110366, 20230, 108631, 64121, 198, 10110, 165, 113, 252, 102780, 30512, 106391, 13153, 54926, 101921, 109, 10110, 102057, 104, 49792, 119049, 9458, 116213, 119049, 9458, 103268, 101921, 109, 103826, 119049, 7705, 19732, 22398, 102750, 16144, 110135, 29295, 103721, 233, 29295, 30369, 105494, 198, 9458, 106090, 38574, 120938, 31431, 17297, 31431, 123410, 126101, 108631, 64121, 30512, 112391, 126172, 16995, 198, 9458, 102149, 103836, 126101, 104735, 251, 16144, 32943, 110366, 29295, 108631, 104004, 198, 9458, 51385, 106353, 125344, 108631, 64121, 15682, 125261, 112535, 83747, 100604, 198, 9458, 110408, 56051, 125344, 108631, 64121, 71289, 101921, 104, 33121, 107407, 198, 102083, 100472, 105933, 16937, 104873, 29295, 64121, 110071, 126513, 5486, 165, 113, 252, 102780, 20230, 16937, 104873, 29295, 72718, 50834, 100934, 107750, 16995, 115991, 33541, 9174, 110382, 126328, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 103359, 117120, 25333, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 103359, 117120, 25333, 103306, 15682, 31195, 198, 9458, 126843, 5486, 103983, 20230, 78698, 105262, 109335, 5486, 51385, 106353, 117657, 100909, 198, 9458, 93488, 78683, 94550, 33857, 16144, 104873, 107792, 198, 9458, 93488, 78683, 94550, 108526, 103202, 16144, 23226, 103424, 198, 9458, 102057, 104, 49792, 119049, 5486, 116213, 119049, 5486, 103268, 101921, 109, 103826, 119049, 71289, 102040, 91062, 71634, 122835, 16144, 68759, 26269, 60868, 78767, 198, 9458, 76171, 102741, 64178, 30512, 122489, 39926, 5486, 102780, 16144, 39880, 113335, 16144, 60868, 121057, 198, 9458, 102404, 21990, 74245, 74482, 15682, 5486, 106142, 71289, 15024, 5486, 110020, 34171, 109904, 108631, 64121, 102052, 5486, 104840, 107436, 5486, 104473, 107654, 122523, 108476, 30512, 103424, 47884, 54926, 198, 9458, 72404, 79785, 103682, 124905, 100472, 102923, 103991, 114475, 105784, 198, 102083, 100472, 103359, 117120, 25333, 115991, 33541, 9174, 165, 113, 252, 102780, 16144, 108631, 64121, 30512, 103911, 103181, 54926, 41007, 103306, 15682, 31195, 198, 9458, 115541, 108710, 25580, 123470, 71634, 44971, 108981, 30512, 114392, 120650, 30297, 59459, 66378, 20230, 27384, 122072, 23602, 230, 119049, 104336, 102083, 126832, 102040, 91062, 71634, 122835, 23954, 9458, 115541, 108710, 74245, 74482, 15682, 5486, 111090, 57207, 94550, 117824, 16995, 106116, 74482, 15682, 108631, 64121, 16144, 101182, 105494, 30512, 104840, 109315, 9174, 9458, 93488, 78683, 94550, 16144, 124349, 15682, 5486, 119273, 104680, 20230, 110137, 81219, 17663, 9174, 9458, 115541, 108710, 116245, 105352, 61633, 123410, 59459, 74090, 16144, 111134, 65299, 102860, 71289, 50211, 33503, 26854, 116245, 30512, 102647, 104369, 104466, 54926, 1811, 23954, 102083, 100472, 105908, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 30512, 103911, 103181, 54926, 110115, 19361, 126120, 26854, 41007, 38641, 9174, 66378, 20230, 102149, 30369, 105908, 127181, 24273, 15682, 108948, 106081, 106624, 70897, 106609, 33671, 15682, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 16144, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 165, 113, 252, 102780, 16144, 108631, 64121, 16144, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 103306, 5486, 18, 118821, 119049, 107079, 20230, 100815, 30832, 39926, 108948, 87177, 109768, 50834, 33541, 106609, 18, 118821, 119049, 107079, 107118, 31195, 198, 9458, 102057, 104, 49792, 119049, 198, 9458, 116213, 119049, 198, 9458, 103268, 101921, 109, 103826, 119049, 198, 16144, 165, 113, 252, 102780, 30512, 106391, 13153, 54926, 18, 118821, 119049, 107079, 38641, 9174, 126843, 15682, 5486, 102057, 104, 49792, 119049, 109853, 38641, 9174, 102057, 104, 49792, 119049, 102052, 108149, 104699, 120577, 110783, 110095, 30512, 19732, 30369, 126101, 33655, 30297, 119049, 107079, 38641, 9174, 77181, 5486, 102057, 104, 49792, 119049, 16144, 71634, 44971, 108981, 109853, 31195, 198, 9458, 21105, 96, 107277, 115519, 30512, 102936, 103306, 5486, 71634, 44971, 108981, 126198, 16995, 24273, 16144, 104735, 251, 30512, 46034, 16556, 110408, 78434, 9174, 9458, 80539, 5486, 115519, 55031, 17905, 30512, 71634, 44971, 108981, 54926, 24273, 16144, 102780, 19732, 95543, 103359, 20230, 101832, 100204, 30369, 9174, 51330, 71634, 44971, 108981, 16556, 5486, 102057, 104, 49792, 119049, 121142, 103470, 5486, 101402, 32977, 102944, 32943, 110366, 117083, 32943, 108436, 119049, 32977, 110137, 81219, 17663, 105908, 125545, 9174, 33671, 15682, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 16144, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 16144, 116213, 119049, 16144, 71634, 44971, 108981, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 126843, 15682, 5486, 116213, 119049, 109853, 31195, 198, 116213, 119049, 15682, 5486, 101402, 32977, 32977, 30512, 32943, 110366, 102416, 91875, 32149, 17663, 122502, 50834, 115991, 33541, 9174, 77181, 5486, 116213, 119049, 16144, 71634, 44971, 108981, 109853, 31195, 198, 9458, 121755, 70141, 76622, 16556, 121120, 108436, 29295, 31431, 33541, 9174, 9458, 35818, 24273, 16144, 104735, 251, 30512, 103302, 102639, 38144, 5486, 102780, 118124, 30512, 116900, 110366, 16144, 104735, 251, 20230, 40265, 125655, 9174, 10110, 51330, 39177, 5486, 104735, 251, 15682, 33014, 16144, 70141, 50834, 19732, 122347, 74245, 117657, 1811, 23954, 9458, 103302, 102639, 28713, 24273, 16144, 104735, 251, 30512, 107918, 20230, 60358, 109669, 105784, 9174, 9458, 508, 47018, 56965, 5486, 62903, 107610, 54926, 9174, 9458, 116900, 102780, 32977, 42016, 103826, 120650, 30297, 9174, 85701, 29295, 116213, 119049, 16144, 71634, 44971, 108981, 121711, 33541, 9174, 33671, 15682, 5486, 103268, 101921, 109, 103826, 119049, 16144, 71634, 44971, 108981, 109853, 108948, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 103268, 101921, 109, 103826, 119049, 15682, 31195, 198, 9458, 101402, 32977, 32977, 30512, 74482, 85791, 20230, 110137, 81219, 17663, 198, 9458, 104735, 251, 30512, 103302, 102639, 30369, 102083, 100472, 122502, 50834, 115991, 33541, 9174, 103268, 101921, 109, 103826, 119049, 16144, 71634, 44971, 108981, 109853, 31195, 198, 9458, 107918, 20230, 112909, 110137, 81219, 39926, 5486, 103605, 30369, 9174, 9458, 58426, 110674, 112909, 59739, 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 ]
[ 125167, 24273, 113115, 15024, 198, 37026, 83812, 254, 113160, 33563, 117126, 71289, 115681, 101918, 33563, 117126, 30512, 11883, 102532, 16144, 102923, 103991, 29295, 104736, 62004, 124195, 33541, 9174, 64531, 83799, 48915, 70626, 111363, 33035, 94923, 19732, 112361, 101557, 108, 118835, 42506, 75146, 107253, 16556, 70203, 23187, 84389, 33541, 9174, 91739, 241, 40526, 109972, 106529, 15682, 15, 35757, 220, 38641, 9174, 123429, 117271, 20230, 114715, 72661, 127408, 71289, 95221, 108176, 28542, 126130, 110794, 120332, 15682, 112160, 27479, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 17297, 65316, 9174, 13177, 123429, 20230, 114876, 76947, 114604, 105879, 50021, 111813, 56051, 16995, 66383, 33334, 108044, 58942, 115962, 118145, 27384, 121313, 38641, 106609, 53900, 5486, 40265, 94923, 77181, 8239, 112, 126462, 33563, 117126, 32977, 126543, 84389, 33541, 9174, 8239, 112, 126462, 120332, 15682, 91739, 241, 40526, 109972, 106529, 15, 35757, 10110, 109972, 106529, 35330, 15682, 103599, 7705, 38641, 9174, 33035, 114731, 16325, 71289, 121101, 126867, 107297, 37046, 30512, 39926, 33014, 30512, 108631, 109013, 104983, 102052, 198, 8239, 112, 126462, 33563, 117126, 30512, 126543, 54926, 30926, 29295, 88367, 26854, 105879, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 17297, 65316, 9174, 8239, 112, 126462, 20230, 109215, 26854, 102181, 104770, 9458, 46034, 106307, 50834, 50667, 32977, 96412, 62004, 39880, 45923, 66953, 112900, 107726, 38144, 115962, 50834, 33541, 9174, 127408, 26854, 28542, 71289, 107750, 99397, 28542, 104309, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 198, 13177, 33035, 114731, 16325, 10110, 121101, 16325, 7705, 107297, 37046, 30512, 39926, 114604, 105879, 50021, 111813, 56051, 16995, 66383, 33334, 108044, 58942, 17297, 84389, 81219, 27384, 121313, 38641, 106609, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 5486, 32149, 32149, 110792, 108631, 64121, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 15682, 104284, 101129, 55038, 9458, 101634, 17905, 9458, 102397, 103633, 31640, 109432, 9458, 102397, 103633, 31640, 100783, 239, 29295, 118801, 9458, 106670, 106554, 9080, 27384, 25580, 9458, 49409, 108710, 78228, 102212, 9458, 114053, 58911, 112624, 9458, 101778, 56235, 101365, 9458, 61786, 106670, 106554, 104309, 101778, 105065, 120018, 124752, 71289, 5486, 102397, 103633, 31640, 55038, 9458, 27384, 34208, 101129, 9458, 103350, 19630, 122, 9458, 27384, 101704, 33563, 9458, 47653, 13153, 106719, 101129, 31106, 120, 9458, 78228, 106719, 5486, 108152, 38248, 104, 37823, 29295, 118801, 9458, 30297, 17663, 16995, 5486, 106150, 114035, 104309, 47653, 13153, 101911, 117758, 39880, 122086, 22398, 29295, 103424, 47884, 5486, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 110745, 34208, 101129, 110745, 34208, 101129, 17039, 101129, 5486, 81180, 109, 101129, 5486, 81180, 109, 101129, 102865, 30512, 15682, 100204, 62004, 103633, 105065, 23530, 5486, 106670, 106554, 23530, 5486, 108710, 78228, 102212, 23530, 5486, 106150, 114035, 23530, 105755, 121771, 115867, 24273, 20230, 37507, 94923, 39926, 115962, 102532, 108086, 33541, 9174, 33334, 111006, 16144, 13177, 108631, 64121, 59712, 16937, 104873, 59712, 109060, 123429, 117271, 59712, 109060, 123429, 117271, 50021, 111813, 59712, 8239, 112, 126462, 10646, 104309, 5486, 67645, 16144, 103826, 26854, 30926, 72661, 106391, 16995, 107515, 9174, 101778, 105065, 120018, 124752, 102397, 103633, 31640, 109432, 125217, 605, 47018, 198, 165, 104247, 9458, 110135, 114457, 100543, 107, 37656, 9458, 124011, 109089, 122692, 16937, 104873, 9458, 109060, 123429, 117271, 120456, 26269, 60868, 78767, 9458, 64531, 33014, 9458, 64467, 121819, 198, 11144, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 112479, 103633, 105065, 72099, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 18, 12, 16, 12, 17, 119506, 101129, 91482, 33710, 16, 37, 198, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 104735, 251, 16144, 108631, 64121, 5486, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 107301, 27384, 102212, 36761, 38641, 9174, 107795, 32977, 102987, 109709, 5486, 113786, 29295, 60358, 109669, 102532, 50834, 79721, 101832, 158, 75309, 31643, 198, 117759, 115737, 76947, 47884, 104533, 5486, 33014, 16144, 16937, 104873, 32977, 125119, 31431, 126172, 115737, 31431, 5486, 104735, 251, 16144, 108631, 64121, 107898, 101128, 102, 64121, 120332, 32977, 43240, 117714, 111769, 123253, 32149, 95532, 37271, 18904, 15682, 5486, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 109853, 108948, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 16144, 113385, 16144, 20713, 59739, 20230, 165, 113, 252, 102780, 16144, 16937, 104873, 102677, 102944, 115991, 33541, 9174, 165, 113, 252, 102780, 16144, 16937, 104873, 107118, 31195, 198, 104735, 251, 16144, 32943, 110366, 16144, 165, 113, 252, 102780, 16144, 105494, 16556, 16937, 104873, 29295, 72718, 50834, 30369, 106592, 16995, 61689, 9174, 165, 113, 252, 102780, 107118, 31195, 198, 102057, 104, 49792, 119049, 5486, 116213, 119049, 5486, 103268, 101921, 109, 103826, 119049, 29295, 101921, 109, 104856, 76947, 5486, 104735, 251, 16144, 32943, 110366, 16556, 22398, 102750, 16144, 110135, 120938, 20230, 47000, 119188, 105494, 16144, 106592, 16995, 61689, 9174, 51330, 47000, 119188, 105494, 16144, 83799, 29295, 102472, 78459, 78205, 65299, 16144, 102780, 119775, 91774, 105262, 105879, 5486, 165, 113, 252, 102780, 19732, 117952, 106824, 61689, 9174, 110382, 126328, 5486, 165, 113, 252, 102780, 29295, 108631, 47884, 109020, 113385, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 165, 113, 252, 102780, 29295, 108631, 47884, 109020, 113385, 15682, 31195, 198, 9458, 103188, 27479, 26854, 124011, 109089, 71289, 117401, 198, 9458, 40862, 78183, 100604, 21688, 112, 71289, 51385, 23187, 21105, 103, 16995, 102780, 32977, 19732, 113245, 117401, 198, 9458, 104735, 251, 16144, 33655, 16995, 120195, 16556, 165, 113, 252, 102780, 16144, 103188, 27479, 26854, 110581, 125405, 198, 9458, 124981, 25005, 253, 94550, 122060, 127242, 198, 9458, 105047, 20230, 101544, 16995, 124349, 30512, 102149, 30369, 198, 9458, 55, 107928, 10110, 117383, 114810, 116416, 38248, 95, 125916, 23954, 104735, 251, 29295, 32943, 70141, 50834, 5486, 59739, 17129, 61826, 29295, 48915, 70141, 50834, 101983, 104533, 31195, 104735, 251, 16144, 32943, 110366, 16144, 126238, 105714, 29295, 45736, 109709, 5486, 108631, 64121, 29295, 72718, 50834, 126172, 47884, 109020, 9174, 9458, 119049, 48634, 127242, 198, 9458, 18904, 32943, 102780, 198, 9458, 115289, 122279, 34171, 119703, 198, 9458, 111006, 16144, 66953, 119930, 198, 116806, 22398, 104774, 108958, 30512, 102149, 30369, 198, 123160, 105908, 117375, 39926, 5486, 104735, 251, 16144, 32943, 110366, 16144, 165, 113, 252, 102780, 20230, 108631, 64121, 105879, 30369, 102944, 117084, 103801, 61689, 9174, 33671, 15682, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 116771, 110071, 16937, 104873, 109853, 108948, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 165, 113, 252, 102780, 16144, 108631, 64121, 116771, 110071, 16937, 104873, 15682, 31195, 198, 9458, 104735, 251, 16144, 32943, 110366, 55031, 22398, 102750, 16144, 32943, 110366, 20230, 108631, 64121, 198, 10110, 165, 113, 252, 102780, 30512, 106391, 13153, 54926, 101921, 109, 10110, 102057, 104, 49792, 119049, 9458, 116213, 119049, 9458, 103268, 101921, 109, 103826, 119049, 7705, 19732, 22398, 102750, 16144, 110135, 29295, 103721, 233, 29295, 30369, 105494, 198, 9458, 106090, 38574, 120938, 31431, 17297, 31431, 123410, 126101, 108631, 64121, 30512, 112391, 126172, 16995, 198, 9458, 102149, 103836, 126101, 104735, 251, 16144, 32943, 110366, 29295, 108631, 104004, 198, 9458, 51385, 106353, 125344, 108631, 64121, 15682, 125261, 112535, 83747, 100604, 198, 9458, 110408, 56051, 125344, 108631, 64121, 71289, 101921, 104, 33121, 107407, 198, 102083, 100472, 105933, 16937, 104873, 29295, 64121, 110071, 126513, 5486, 165, 113, 252, 102780, 20230, 16937, 104873, 29295, 72718, 50834, 100934, 107750, 16995, 115991, 33541, 9174, 110382, 126328, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 103359, 117120, 25333, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 103359, 117120, 25333, 103306, 15682, 31195, 198, 9458, 126843, 5486, 103983, 20230, 78698, 105262, 109335, 5486, 51385, 106353, 117657, 100909, 198, 9458, 93488, 78683, 94550, 33857, 16144, 104873, 107792, 198, 9458, 93488, 78683, 94550, 108526, 103202, 16144, 23226, 103424, 198, 9458, 102057, 104, 49792, 119049, 5486, 116213, 119049, 5486, 103268, 101921, 109, 103826, 119049, 71289, 102040, 91062, 71634, 122835, 16144, 68759, 26269, 60868, 78767, 198, 9458, 76171, 102741, 64178, 30512, 122489, 39926, 5486, 102780, 16144, 39880, 113335, 16144, 60868, 121057, 198, 9458, 102404, 21990, 74245, 74482, 15682, 5486, 106142, 71289, 15024, 5486, 110020, 34171, 109904, 108631, 64121, 102052, 5486, 104840, 107436, 5486, 104473, 107654, 122523, 108476, 30512, 103424, 47884, 54926, 198, 9458, 72404, 79785, 103682, 124905, 100472, 102923, 103991, 114475, 105784, 198, 102083, 100472, 103359, 117120, 25333, 115991, 33541, 9174, 165, 113, 252, 102780, 16144, 108631, 64121, 30512, 103911, 103181, 54926, 41007, 103306, 15682, 31195, 198, 9458, 115541, 108710, 25580, 123470, 71634, 44971, 108981, 30512, 114392, 120650, 30297, 59459, 66378, 20230, 27384, 122072, 23602, 230, 119049, 104336, 102083, 126832, 102040, 91062, 71634, 122835, 23954, 9458, 115541, 108710, 74245, 74482, 15682, 5486, 111090, 57207, 94550, 117824, 16995, 106116, 74482, 15682, 108631, 64121, 16144, 101182, 105494, 30512, 104840, 109315, 9174, 9458, 93488, 78683, 94550, 16144, 124349, 15682, 5486, 119273, 104680, 20230, 110137, 81219, 17663, 9174, 9458, 115541, 108710, 116245, 105352, 61633, 123410, 59459, 74090, 16144, 111134, 65299, 102860, 71289, 50211, 33503, 26854, 116245, 30512, 102647, 104369, 104466, 54926, 1811, 23954, 102083, 100472, 105908, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 30512, 103911, 103181, 54926, 110115, 19361, 126120, 26854, 41007, 38641, 9174, 66378, 20230, 102149, 30369, 105908, 127181, 24273, 15682, 108948, 106081, 106624, 70897, 106609, 33671, 15682, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 16144, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 165, 113, 252, 102780, 16144, 108631, 64121, 16144, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 103306, 5486, 18, 118821, 119049, 107079, 20230, 100815, 30832, 39926, 108948, 87177, 109768, 50834, 33541, 106609, 18, 118821, 119049, 107079, 107118, 31195, 198, 9458, 102057, 104, 49792, 119049, 198, 9458, 116213, 119049, 198, 9458, 103268, 101921, 109, 103826, 119049, 198, 16144, 165, 113, 252, 102780, 30512, 106391, 13153, 54926, 18, 118821, 119049, 107079, 38641, 9174, 126843, 15682, 5486, 102057, 104, 49792, 119049, 109853, 38641, 9174, 102057, 104, 49792, 119049, 102052, 108149, 104699, 120577, 110783, 110095, 30512, 19732, 30369, 126101, 33655, 30297, 119049, 107079, 38641, 9174, 77181, 5486, 102057, 104, 49792, 119049, 16144, 71634, 44971, 108981, 109853, 31195, 198, 9458, 21105, 96, 107277, 115519, 30512, 102936, 103306, 5486, 71634, 44971, 108981, 126198, 16995, 24273, 16144, 104735, 251, 30512, 46034, 16556, 110408, 78434, 9174, 9458, 80539, 5486, 115519, 55031, 17905, 30512, 71634, 44971, 108981, 54926, 24273, 16144, 102780, 19732, 95543, 103359, 20230, 101832, 100204, 30369, 9174, 51330, 71634, 44971, 108981, 16556, 5486, 102057, 104, 49792, 119049, 121142, 103470, 5486, 101402, 32977, 102944, 32943, 110366, 117083, 32943, 108436, 119049, 32977, 110137, 81219, 17663, 105908, 125545, 9174, 33671, 15682, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 16144, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 16144, 116213, 119049, 16144, 71634, 44971, 108981, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 126843, 15682, 5486, 116213, 119049, 109853, 31195, 198, 116213, 119049, 15682, 5486, 101402, 32977, 32977, 30512, 32943, 110366, 102416, 91875, 32149, 17663, 122502, 50834, 115991, 33541, 9174, 77181, 5486, 116213, 119049, 16144, 71634, 44971, 108981, 109853, 31195, 198, 9458, 121755, 70141, 76622, 16556, 121120, 108436, 29295, 31431, 33541, 9174, 9458, 35818, 24273, 16144, 104735, 251, 30512, 103302, 102639, 38144, 5486, 102780, 118124, 30512, 116900, 110366, 16144, 104735, 251, 20230, 40265, 125655, 9174, 10110, 51330, 39177, 5486, 104735, 251, 15682, 33014, 16144, 70141, 50834, 19732, 122347, 74245, 117657, 1811, 23954, 9458, 103302, 102639, 28713, 24273, 16144, 104735, 251, 30512, 107918, 20230, 60358, 109669, 105784, 9174, 9458, 508, 47018, 56965, 5486, 62903, 107610, 54926, 9174, 9458, 116900, 102780, 32977, 42016, 103826, 120650, 30297, 9174, 85701, 29295, 116213, 119049, 16144, 71634, 44971, 108981, 121711, 33541, 9174, 33671, 15682, 5486, 103268, 101921, 109, 103826, 119049, 16144, 71634, 44971, 108981, 109853, 108948, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 103268, 101921, 109, 103826, 119049, 15682, 31195, 198, 9458, 101402, 32977, 32977, 30512, 74482, 85791, 20230, 110137, 81219, 17663, 198, 9458, 104735, 251, 30512, 103302, 102639, 30369, 102083, 100472, 122502, 50834, 115991, 33541, 9174, 103268, 101921, 109, 103826, 119049, 16144, 71634, 44971, 108981, 109853, 31195, 198, 9458, 107918, 20230, 112909, 110137, 81219, 39926, 5486, 103605, 30369, 9174, 9458, 58426, 110674, 112909, 59739, 17129 ]
[ 61826, 120332, 102416, 106644, 121710, 111842, 69978, 107462, 50834, 5486, 33014, 30512, 112772, 105987, 109768, 47884, 9174, 9458, 101402, 32977, 102944, 118124, 29295, 71634, 44971, 108981, 29295, 106084, 100934, 19732, 112391, 104533, 107404, 16556, 508, 47018, 56965, 109205, 69978, 54926, 9174, 110382, 103296, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 18904, 109095, 71289, 103911, 103181, 20230, 19361, 126120, 26854, 102944, 15682, 5486, 71634, 44971, 108981, 102677, 33334, 87177, 30512, 39926, 50834, 79721, 29295, 108048, 19732, 115963, 20230, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 18904, 109095, 71289, 103911, 103181, 20230, 19361, 126120, 26854, 102944, 29295, 5486, 20251, 44971, 118928, 94550, 115717, 33541, 9174, 110382, 126328, 106116, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 103911, 103181, 71289, 18904, 109095, 20230, 19361, 126120, 26854, 20251, 44971, 118928, 94550, 16144, 41007, 126130, 87177, 56051, 16995, 106046, 61689, 9174, 126843, 15682, 5486, 32943, 108436, 119049, 16144, 20251, 44971, 118928, 94550, 109853, 108948, 87177, 109768, 50834, 33541, 9174, 110382, 16556, 126362, 54926, 104468, 5486, 103672, 64178, 115592, 25197, 106240, 62903, 107610, 102677, 102944, 115717, 33541, 9174, 71289, 31431, 24273, 15682, 31195, 198, 9458, 120094, 45829, 20230, 103605, 31431, 5486, 47307, 90962, 33710, 71289, 20119, 243, 71289, 31809, 30813, 62004, 16144, 103672, 64178, 30512, 104735, 251, 20230, 30775, 253, 104004, 9174, 9458, 104735, 251, 20230, 30775, 253, 102189, 102944, 30512, 103558, 108, 17663, 104466, 104735, 251, 30512, 119962, 100204, 30369, 9174, 9458, 119962, 100204, 50834, 100472, 110229, 16556, 20, 93, 605, 47018, 5486, 62903, 107610, 54926, 9174, 9458, 106644, 121710, 111842, 123457, 100783, 102, 62004, 100481, 47884, 9174, 9458, 51330, 91875, 19967, 30512, 605, 18904, 103721, 108, 31431, 104196, 17663, 9174, 33671, 15682, 5486, 102040, 91062, 71634, 122835, 16144, 20251, 44971, 118928, 94550, 103306, 36896, 107461, 103830, 37823, 112508, 118587, 48154, 126362, 78434, 9174, 9458, 121755, 70141, 76622, 16556, 121120, 28713, 121894, 55031, 104735, 251, 30512, 1954, 27479, 103302, 102639, 38144, 5486, 107928, 30512, 121697, 30369, 9174, 9458, 103892, 55031, 104735, 251, 103296, 112736, 101911, 108176, 103296, 108948, 16175, 119, 30512, 106644, 121710, 31431, 122765, 30369, 9174, 9458, 51330, 121894, 16556, 17, 47018, 62903, 107610, 15024, 5486, 106644, 121710, 111842, 24186, 20230, 114941, 17663, 9174, 9458, 85701, 30512, 868, 18904, 18028, 17, 109753, 23039, 30297, 9174, 33671, 15682, 108948, 15024, 111331, 119049, 107079, 30512, 112258, 249, 105262, 20251, 44971, 118928, 94550, 126130, 87177, 109768, 50834, 33541, 9174, 33334, 15024, 31431, 30512, 112258, 249, 105262, 20251, 44971, 118928, 94550, 16144, 20713, 59739, 103306, 13177, 109054, 45923, 78683, 38248, 95, 103830, 66383, 95604, 102944, 38641, 9174, 9458, 64803, 59739, 103864, 117714, 110783, 110095, 30512, 19732, 30369, 9174, 9458, 58426, 110783, 110095, 16556, 104735, 251, 30512, 103302, 102639, 28713, 121894, 16144, 110674, 107928, 30512, 89151, 109203, 102416, 113801, 109415, 30369, 9174, 10110, 104735, 251, 103892, 29295, 89151, 109203, 30512, 70141, 47884, 104699, 110706, 103296, 113801, 109415, 30369, 23954, 9458, 17, 47018, 62903, 107610, 15024, 5486, 24186, 20230, 114941, 17663, 9174, 9458, 118396, 20, 18904, 101860, 59739, 23039, 30297, 9174, 64780, 51330, 126101, 107928, 30512, 110794, 109415, 30369, 106592, 37689, 109375, 112990, 110783, 110095, 29295, 103553, 102, 106824, 114732, 105879, 5486, 17905, 103268, 96356, 15682, 109020, 103854, 47884, 91875, 32149, 30813, 100604, 104466, 37689, 109375, 54926, 9174, 33671, 15682, 36896, 52591, 118372, 41758, 45923, 115432, 66383, 95604, 20251, 44971, 118928, 94550, 115717, 33541, 9174, 9458, 35818, 112909, 17129, 42891, 114225, 122765, 30369, 9174, 9458, 46034, 19732, 95543, 103359, 16144, 102780, 30512, 17129, 42891, 114225, 122765, 30369, 9174, 9458, 46034, 102780, 30512, 116900, 116446, 103721, 108, 31431, 104196, 17663, 9174, 9458, 118396, 605, 18904, 30512, 17, 109753, 5486, 23039, 30297, 9174, 104735, 251, 16144, 108631, 64121, 71289, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 16556, 33334, 101128, 102, 64121, 120332, 71289, 102149, 30369, 101513, 38093, 29295, 127181, 24273, 15682, 5486, 21043, 66776, 108948, 106081, 106624, 70897, 9174, 53900, 5486, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 77181, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 16144, 102923, 103991, 32977, 23039, 76947, 108086, 33541, 9174, 104735, 251, 16144, 108631, 64121, 9458, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 71289, 165, 113, 252, 102780, 16144, 16937, 104873, 29295, 64121, 110071, 102677, 24273, 15682, 5486, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 103296, 48154, 50021, 111813, 72315, 76460, 232, 198, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 107301, 27384, 102212, 36761, 38641, 9174, 37271, 18904, 15682, 5486, 102478, 97518, 107792, 16144, 108631, 64121, 16144, 20713, 59739, 103195, 124142, 67669, 34048, 16144, 108631, 64121, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 15682, 198, 9458, 32943, 108436, 119049, 101921, 109, 16144, 16937, 104873, 198, 9458, 101921, 116, 115519, 119049, 16144, 121432, 16144, 16937, 104873, 198, 9458, 124142, 67669, 36651, 74482, 110426, 124490, 125173, 198, 9458, 48915, 113351, 7741, 250, 119049, 101921, 109, 115716, 16144, 16937, 104873, 198, 9458, 21555, 98, 110135, 102971, 40862, 16144, 114052, 111571, 198, 50667, 16144, 110022, 25666, 38641, 198, 77181, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 66378, 17599, 112, 126130, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 9458, 102478, 97518, 107792, 16144, 115195, 31431, 71289, 107928, 16144, 122382, 102831, 29295, 108631, 16995, 198, 9458, 60868, 26269, 71493, 38248, 226, 32131, 41758, 127020, 104309, 62903, 48552, 91875, 19967, 117824, 30297, 115350, 20230, 127181, 198, 9458, 101182, 113314, 5486, 51385, 106353, 20230, 109768, 104533, 108631, 64121, 15682, 120175, 100815, 119188, 29295, 5486, 91875, 126145, 108631, 64121, 29295, 88356, 102802, 20834, 38144, 109749, 198, 9458, 85707, 23538, 77181, 5486, 9080, 40053, 104654, 20230, 5486, 30813, 108680, 117375, 29295, 43568, 16995, 113314, 16144, 108631, 64121, 103195, 29295, 111476, 109161, 33208, 39926, 47884, 104533, 31195, 9080, 40053, 104654, 77181, 5486, 72718, 50834, 115442, 31431, 5486, 47884, 116826, 64121, 198, 117401, 39177, 77181, 5486, 99959, 116219, 71289, 62903, 48552, 16556, 108631, 64121, 29295, 115079, 21601, 54926, 198, 102677, 105933, 66378, 17599, 112, 29295, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 102052, 57903, 33541, 9174, 33671, 15682, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 113385, 109853, 108948, 87177, 30512, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 126843, 15682, 5486, 113385, 55031, 48154, 122984, 107726, 100481, 90620, 50834, 33541, 9174, 113385, 117282, 102944, 15682, 90578, 9458, 124142, 67669, 34048, 16144, 108768, 33710, 114676, 16144, 101128, 102, 64121, 198, 9458, 32943, 108436, 119049, 71289, 113351, 74245, 119049, 16144, 72718, 27704, 34048, 16144, 16937, 104873, 198, 9458, 27384, 122072, 74245, 119049, 47000, 100815, 34048, 16144, 16937, 104873, 198, 9458, 101921, 116, 115519, 119049, 16144, 16937, 104873, 198, 9458, 21555, 98, 110135, 102971, 40862, 16144, 16937, 104873, 198, 104309, 29295, 113727, 102204, 33541, 9174, 33671, 20230, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 30512, 102404, 21990, 15024, 126172, 16995, 19732, 107001, 107707, 66378, 17599, 112, 126130, 87177, 78434, 9174, 9458, 26274, 222, 34048, 16144, 119049, 107079, 29295, 110567, 16995, 198, 102478, 97518, 107792, 29295, 87447, 102334, 121894, 115717, 126172, 115737, 31431, 5486, 26274, 222, 34048, 16144, 119049, 107079, 124905, 16995, 109669, 110706, 102677, 121894, 115717, 33541, 9174, 66378, 20230, 5486, 62903, 48552, 71289, 102514, 113883, 104983, 20230, 32943, 108436, 119049, 71289, 21555, 98, 110135, 34048, 20230, 71634, 108744, 29295, 32149, 107277, 33541, 9174, 9458, 115519, 108631, 30512, 108623, 58942, 100934, 198, 102040, 91062, 71634, 122835, 10110, 101402, 32977, 102944, 118124, 16144, 119049, 107079, 7705, 71289, 39880, 62903, 108744, 101921, 109, 16144, 110567, 30813, 29295, 113385, 16556, 110135, 114457, 16144, 41642, 116310, 16144, 109189, 34171, 29295, 103167, 115737, 31431, 5486, 124142, 67669, 34048, 20230, 71634, 108744, 29295, 32149, 107277, 33541, 9174, 9458, 103188, 21403, 108, 26854, 20251, 44971, 118928, 94550, 198, 113351, 119049, 71289, 33334, 16175, 119, 16144, 119049, 48634, 20251, 44971, 118928, 94550, 123160, 66378, 23187, 34048, 25129, 16144, 103188, 27479, 26854, 104195, 33208, 71289, 107271, 84477, 71289, 42634, 94550, 62903, 48552, 104309, 66378, 23187, 91875, 19967, 16144, 103188, 27479, 26854, 20251, 44971, 118928, 94550, 112212, 124142, 67669, 34048, 20230, 71634, 108744, 29295, 32149, 107277, 33541, 9174, 114950, 105352, 198, 9458, 102780, 61075, 16144, 15017, 119, 100472, 39177, 198, 9458, 102780, 30512, 76537, 76947, 114604, 39177, 198, 9458, 119049, 107079, 16144, 64889, 117068, 104309, 115991, 33541, 9174, 85701, 120577, 102663, 102472, 29295, 113385, 16556, 31195, 198, 31540, 91875, 34171, 10110, 119049, 107079, 71289, 97518, 107792, 16144, 115289, 122279, 34171, 23954, 51385, 23187, 34171, 10110, 110135, 114457, 30512, 46456, 105262, 119049, 107079, 23954, 108975, 104873, 34171, 10110, 33014, 116388, 19732, 17297, 57942, 95, 16144, 91875, 50834, 29295, 8239, 114503, 112535, 89046, 91875, 54926, 100909, 23954, 20230, 109606, 29295, 21990, 100204, 28713, 110674, 43568, 22649, 20230, 57326, 110494, 30512, 106307, 76622, 104533, 33014, 116388, 55031, 102478, 97518, 107792, 41642, 115195, 16144, 121432, 29295, 28873, 28713, 84389, 101860, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 29295, 21990, 100204, 126172, 115737, 31431, 33541, 9174, 33671, 15682, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 116771, 110071, 16937, 104873, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 64121, 110071, 16937, 104873, 103306, 15682, 31195, 198, 9458, 99959, 116219, 71289, 62903, 48552, 91875, 19967, 126101, 5486, 127122, 115833, 95, 21909, 57942, 249, 103722, 112649, 107441, 16144, 108631, 64121, 198, 9458, 124142, 67669, 34048, 5486, 32943, 108436, 119049, 72718, 27704, 34048, 20230, 108631, 64121, 198, 9458, 9080, 40053, 104654, 113245, 5486, 121120, 100934, 121894, 55031, 72718, 50834, 115442, 31431, 5486, 47884, 116826, 64121, 16556, 108631, 64121, 198, 9458, 48915, 108436, 119049, 48634, 16144, 103167, 17297, 198, 9458, 32943, 108436, 119049, 16144, 26955, 246, 123332, 198, 104309, 29295, 123680, 102639, 102204, 33541, 9174, 33671, 15682, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 103359, 117120, 25333, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 66378, 17599, 112, 15682, 31195, 198, 51385, 106353, 20230, 109768, 104533, 108631, 64121, 29295, 43568, 47884, 5486, 117401, 30512, 88356, 87447, 112990, 108631, 64121, 125334, 30369, 102677, 106592, 61826, 39607, 108948, 87177, 30512, 107726, 100481, 90620, 50834, 79721, 9174, 26854, 112371, 32149, 102677, 19732, 5486, 124142, 67669, 34048, 41642, 115195, 16144, 119049, 48634, 29295, 103167, 17297, 15024, 106116, 121894, 29295, 18904, 109095, 84389, 100604, 110674, 5486, 117401, 117824, 76947, 114732, 105879, 5486, 119049, 107079, 29295, 109972, 111600, 20230, 113420, 58942, 102204, 101860, 5486, 108631, 64121, 125334, 38144, 109749, 102677, 100909, 115717, 33541, 9174, 102677, 110229, 16556, 5486, 103359, 117120, 25333, 103306, 15682, 198, 126843, 15682, 5486, 51385, 106353, 117657, 104466, 103801, 109954, 106609, 77693, 19732, 115963, 20230, 31195, 198, 9458, 101721, 95221, 124905, 76947, 16144, 102923, 103991, 198, 120456, 26269, 60868, 78767, 198, 9458, 71634, 44971, 108981, 198, 30512, 108167, 17701, 104028, 19732, 126521, 19732, 116216, 61689, 9174, 80539, 5486, 34226, 20230, 16937, 104873, 30512, 117355, 114485, 124545, 101399, 102052, 5486, 33014, 116388, 30512, 112258, 249, 105262, 20251, 44971, 118928, 94550, 29295, 109215, 115717, 33541, 9174, 77181, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 103359, 117120, 25333, 20230, 19361, 126120, 26854, 33014, 116388, 30512, 112258, 249, 105262, 20251, 44971, 118928, 94550, 126130, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 126843, 5486, 20713, 59739, 30832, 106609, 95543, 103359, 110366, 120938, 17297, 57942, 95, 30512, 89046, 91875, 39926, 110794, 109415, 30369, 20251, 44971, 118928, 94550, 198, 13177, 52591, 118372, 41758, 45923, 115432, 66383, 16995, 61689, 9174, 71289, 31431, 24273, 103306, 15682, 198, 16, 13, 107918, 20230, 110176, 46034, 19732, 110176, 104735, 251, 116825, 102532, 5486, 115499, 117355, 47884, 109415, 5486, 103984, 101911, 15682, 25580, 24273, 121254, 76622, 33541, 9174, 12, 220, 16, 16144, 121894, 55031, 103359, 64936, 101911, 108176, 46034, 107928, 10110, 27452, 116285, 65917, 46034, 19732, 78659, 107928, 7705, 30512, 64467, 61826, 55031, 59739, 17129, 61826, 103296, 112736, 101911, 108176, 105933, 25197, 126989, 16556, 106644, 121710, 111842, 110137, 81219, 17663, 1811, 110137, 81219, 21105, 235, 100472, 110229, 16556, 17, 21909, 18, 47018, 56965, 106353, 82533, 78434, 9174, 18, 13, 88356, 27479, 20713, 16144, 121894, 20230, 114941, 31431, 5486, 116900, 16144, 46034, 107928, 32977, 42016, 103826, 20230, 91875, 19967, 117824, 16995, 5486, 118396, 39209, 106483, 20230, 106644, 121710, 111842, 23039, 30297, 9174, 9458, 100204, 121710, 111842, 605, 18904, 16556, 16, 109753, 30512, 20713, 9080, 17, 109753, 30512, 30832, 51385, 120650, 30297, 19732, 126521, 38641, 9174, 80539, 5486, 25963, 59739, 30832, 106609, 109203, 70141, 50834, 16556, 33014, 116388, 118551, 19732, 115963, 20230, 102478, 97518, 107792, 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 ]
[ 61826, 120332, 102416, 106644, 121710, 111842, 69978, 107462, 50834, 5486, 33014, 30512, 112772, 105987, 109768, 47884, 9174, 9458, 101402, 32977, 102944, 118124, 29295, 71634, 44971, 108981, 29295, 106084, 100934, 19732, 112391, 104533, 107404, 16556, 508, 47018, 56965, 109205, 69978, 54926, 9174, 110382, 103296, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 18904, 109095, 71289, 103911, 103181, 20230, 19361, 126120, 26854, 102944, 15682, 5486, 71634, 44971, 108981, 102677, 33334, 87177, 30512, 39926, 50834, 79721, 29295, 108048, 19732, 115963, 20230, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 18904, 109095, 71289, 103911, 103181, 20230, 19361, 126120, 26854, 102944, 29295, 5486, 20251, 44971, 118928, 94550, 115717, 33541, 9174, 110382, 126328, 106116, 165, 113, 252, 102780, 16144, 108631, 64121, 113115, 54926, 103911, 103181, 71289, 18904, 109095, 20230, 19361, 126120, 26854, 20251, 44971, 118928, 94550, 16144, 41007, 126130, 87177, 56051, 16995, 106046, 61689, 9174, 126843, 15682, 5486, 32943, 108436, 119049, 16144, 20251, 44971, 118928, 94550, 109853, 108948, 87177, 109768, 50834, 33541, 9174, 110382, 16556, 126362, 54926, 104468, 5486, 103672, 64178, 115592, 25197, 106240, 62903, 107610, 102677, 102944, 115717, 33541, 9174, 71289, 31431, 24273, 15682, 31195, 198, 9458, 120094, 45829, 20230, 103605, 31431, 5486, 47307, 90962, 33710, 71289, 20119, 243, 71289, 31809, 30813, 62004, 16144, 103672, 64178, 30512, 104735, 251, 20230, 30775, 253, 104004, 9174, 9458, 104735, 251, 20230, 30775, 253, 102189, 102944, 30512, 103558, 108, 17663, 104466, 104735, 251, 30512, 119962, 100204, 30369, 9174, 9458, 119962, 100204, 50834, 100472, 110229, 16556, 20, 93, 605, 47018, 5486, 62903, 107610, 54926, 9174, 9458, 106644, 121710, 111842, 123457, 100783, 102, 62004, 100481, 47884, 9174, 9458, 51330, 91875, 19967, 30512, 605, 18904, 103721, 108, 31431, 104196, 17663, 9174, 33671, 15682, 5486, 102040, 91062, 71634, 122835, 16144, 20251, 44971, 118928, 94550, 103306, 36896, 107461, 103830, 37823, 112508, 118587, 48154, 126362, 78434, 9174, 9458, 121755, 70141, 76622, 16556, 121120, 28713, 121894, 55031, 104735, 251, 30512, 1954, 27479, 103302, 102639, 38144, 5486, 107928, 30512, 121697, 30369, 9174, 9458, 103892, 55031, 104735, 251, 103296, 112736, 101911, 108176, 103296, 108948, 16175, 119, 30512, 106644, 121710, 31431, 122765, 30369, 9174, 9458, 51330, 121894, 16556, 17, 47018, 62903, 107610, 15024, 5486, 106644, 121710, 111842, 24186, 20230, 114941, 17663, 9174, 9458, 85701, 30512, 868, 18904, 18028, 17, 109753, 23039, 30297, 9174, 33671, 15682, 108948, 15024, 111331, 119049, 107079, 30512, 112258, 249, 105262, 20251, 44971, 118928, 94550, 126130, 87177, 109768, 50834, 33541, 9174, 33334, 15024, 31431, 30512, 112258, 249, 105262, 20251, 44971, 118928, 94550, 16144, 20713, 59739, 103306, 13177, 109054, 45923, 78683, 38248, 95, 103830, 66383, 95604, 102944, 38641, 9174, 9458, 64803, 59739, 103864, 117714, 110783, 110095, 30512, 19732, 30369, 9174, 9458, 58426, 110783, 110095, 16556, 104735, 251, 30512, 103302, 102639, 28713, 121894, 16144, 110674, 107928, 30512, 89151, 109203, 102416, 113801, 109415, 30369, 9174, 10110, 104735, 251, 103892, 29295, 89151, 109203, 30512, 70141, 47884, 104699, 110706, 103296, 113801, 109415, 30369, 23954, 9458, 17, 47018, 62903, 107610, 15024, 5486, 24186, 20230, 114941, 17663, 9174, 9458, 118396, 20, 18904, 101860, 59739, 23039, 30297, 9174, 64780, 51330, 126101, 107928, 30512, 110794, 109415, 30369, 106592, 37689, 109375, 112990, 110783, 110095, 29295, 103553, 102, 106824, 114732, 105879, 5486, 17905, 103268, 96356, 15682, 109020, 103854, 47884, 91875, 32149, 30813, 100604, 104466, 37689, 109375, 54926, 9174, 33671, 15682, 36896, 52591, 118372, 41758, 45923, 115432, 66383, 95604, 20251, 44971, 118928, 94550, 115717, 33541, 9174, 9458, 35818, 112909, 17129, 42891, 114225, 122765, 30369, 9174, 9458, 46034, 19732, 95543, 103359, 16144, 102780, 30512, 17129, 42891, 114225, 122765, 30369, 9174, 9458, 46034, 102780, 30512, 116900, 116446, 103721, 108, 31431, 104196, 17663, 9174, 9458, 118396, 605, 18904, 30512, 17, 109753, 5486, 23039, 30297, 9174, 104735, 251, 16144, 108631, 64121, 71289, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 16556, 33334, 101128, 102, 64121, 120332, 71289, 102149, 30369, 101513, 38093, 29295, 127181, 24273, 15682, 5486, 21043, 66776, 108948, 106081, 106624, 70897, 9174, 53900, 5486, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 77181, 5486, 165, 113, 252, 102780, 16144, 108631, 64121, 16144, 102923, 103991, 32977, 23039, 76947, 108086, 33541, 9174, 104735, 251, 16144, 108631, 64121, 9458, 104735, 251, 16144, 32943, 110366, 16144, 108631, 64121, 71289, 165, 113, 252, 102780, 16144, 16937, 104873, 29295, 64121, 110071, 102677, 24273, 15682, 5486, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 103296, 48154, 50021, 111813, 72315, 76460, 232, 198, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 107301, 27384, 102212, 36761, 38641, 9174, 37271, 18904, 15682, 5486, 102478, 97518, 107792, 16144, 108631, 64121, 16144, 20713, 59739, 103195, 124142, 67669, 34048, 16144, 108631, 64121, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 15682, 198, 9458, 32943, 108436, 119049, 101921, 109, 16144, 16937, 104873, 198, 9458, 101921, 116, 115519, 119049, 16144, 121432, 16144, 16937, 104873, 198, 9458, 124142, 67669, 36651, 74482, 110426, 124490, 125173, 198, 9458, 48915, 113351, 7741, 250, 119049, 101921, 109, 115716, 16144, 16937, 104873, 198, 9458, 21555, 98, 110135, 102971, 40862, 16144, 114052, 111571, 198, 50667, 16144, 110022, 25666, 38641, 198, 77181, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 66378, 17599, 112, 126130, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 9458, 102478, 97518, 107792, 16144, 115195, 31431, 71289, 107928, 16144, 122382, 102831, 29295, 108631, 16995, 198, 9458, 60868, 26269, 71493, 38248, 226, 32131, 41758, 127020, 104309, 62903, 48552, 91875, 19967, 117824, 30297, 115350, 20230, 127181, 198, 9458, 101182, 113314, 5486, 51385, 106353, 20230, 109768, 104533, 108631, 64121, 15682, 120175, 100815, 119188, 29295, 5486, 91875, 126145, 108631, 64121, 29295, 88356, 102802, 20834, 38144, 109749, 198, 9458, 85707, 23538, 77181, 5486, 9080, 40053, 104654, 20230, 5486, 30813, 108680, 117375, 29295, 43568, 16995, 113314, 16144, 108631, 64121, 103195, 29295, 111476, 109161, 33208, 39926, 47884, 104533, 31195, 9080, 40053, 104654, 77181, 5486, 72718, 50834, 115442, 31431, 5486, 47884, 116826, 64121, 198, 117401, 39177, 77181, 5486, 99959, 116219, 71289, 62903, 48552, 16556, 108631, 64121, 29295, 115079, 21601, 54926, 198, 102677, 105933, 66378, 17599, 112, 29295, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 102052, 57903, 33541, 9174, 33671, 15682, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 113385, 109853, 108948, 87177, 30512, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 126843, 15682, 5486, 113385, 55031, 48154, 122984, 107726, 100481, 90620, 50834, 33541, 9174, 113385, 117282, 102944, 15682, 90578, 9458, 124142, 67669, 34048, 16144, 108768, 33710, 114676, 16144, 101128, 102, 64121, 198, 9458, 32943, 108436, 119049, 71289, 113351, 74245, 119049, 16144, 72718, 27704, 34048, 16144, 16937, 104873, 198, 9458, 27384, 122072, 74245, 119049, 47000, 100815, 34048, 16144, 16937, 104873, 198, 9458, 101921, 116, 115519, 119049, 16144, 16937, 104873, 198, 9458, 21555, 98, 110135, 102971, 40862, 16144, 16937, 104873, 198, 104309, 29295, 113727, 102204, 33541, 9174, 33671, 20230, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 30512, 102404, 21990, 15024, 126172, 16995, 19732, 107001, 107707, 66378, 17599, 112, 126130, 87177, 78434, 9174, 9458, 26274, 222, 34048, 16144, 119049, 107079, 29295, 110567, 16995, 198, 102478, 97518, 107792, 29295, 87447, 102334, 121894, 115717, 126172, 115737, 31431, 5486, 26274, 222, 34048, 16144, 119049, 107079, 124905, 16995, 109669, 110706, 102677, 121894, 115717, 33541, 9174, 66378, 20230, 5486, 62903, 48552, 71289, 102514, 113883, 104983, 20230, 32943, 108436, 119049, 71289, 21555, 98, 110135, 34048, 20230, 71634, 108744, 29295, 32149, 107277, 33541, 9174, 9458, 115519, 108631, 30512, 108623, 58942, 100934, 198, 102040, 91062, 71634, 122835, 10110, 101402, 32977, 102944, 118124, 16144, 119049, 107079, 7705, 71289, 39880, 62903, 108744, 101921, 109, 16144, 110567, 30813, 29295, 113385, 16556, 110135, 114457, 16144, 41642, 116310, 16144, 109189, 34171, 29295, 103167, 115737, 31431, 5486, 124142, 67669, 34048, 20230, 71634, 108744, 29295, 32149, 107277, 33541, 9174, 9458, 103188, 21403, 108, 26854, 20251, 44971, 118928, 94550, 198, 113351, 119049, 71289, 33334, 16175, 119, 16144, 119049, 48634, 20251, 44971, 118928, 94550, 123160, 66378, 23187, 34048, 25129, 16144, 103188, 27479, 26854, 104195, 33208, 71289, 107271, 84477, 71289, 42634, 94550, 62903, 48552, 104309, 66378, 23187, 91875, 19967, 16144, 103188, 27479, 26854, 20251, 44971, 118928, 94550, 112212, 124142, 67669, 34048, 20230, 71634, 108744, 29295, 32149, 107277, 33541, 9174, 114950, 105352, 198, 9458, 102780, 61075, 16144, 15017, 119, 100472, 39177, 198, 9458, 102780, 30512, 76537, 76947, 114604, 39177, 198, 9458, 119049, 107079, 16144, 64889, 117068, 104309, 115991, 33541, 9174, 85701, 120577, 102663, 102472, 29295, 113385, 16556, 31195, 198, 31540, 91875, 34171, 10110, 119049, 107079, 71289, 97518, 107792, 16144, 115289, 122279, 34171, 23954, 51385, 23187, 34171, 10110, 110135, 114457, 30512, 46456, 105262, 119049, 107079, 23954, 108975, 104873, 34171, 10110, 33014, 116388, 19732, 17297, 57942, 95, 16144, 91875, 50834, 29295, 8239, 114503, 112535, 89046, 91875, 54926, 100909, 23954, 20230, 109606, 29295, 21990, 100204, 28713, 110674, 43568, 22649, 20230, 57326, 110494, 30512, 106307, 76622, 104533, 33014, 116388, 55031, 102478, 97518, 107792, 41642, 115195, 16144, 121432, 29295, 28873, 28713, 84389, 101860, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 29295, 21990, 100204, 126172, 115737, 31431, 33541, 9174, 33671, 15682, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 116771, 110071, 16937, 104873, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 64121, 110071, 16937, 104873, 103306, 15682, 31195, 198, 9458, 99959, 116219, 71289, 62903, 48552, 91875, 19967, 126101, 5486, 127122, 115833, 95, 21909, 57942, 249, 103722, 112649, 107441, 16144, 108631, 64121, 198, 9458, 124142, 67669, 34048, 5486, 32943, 108436, 119049, 72718, 27704, 34048, 20230, 108631, 64121, 198, 9458, 9080, 40053, 104654, 113245, 5486, 121120, 100934, 121894, 55031, 72718, 50834, 115442, 31431, 5486, 47884, 116826, 64121, 16556, 108631, 64121, 198, 9458, 48915, 108436, 119049, 48634, 16144, 103167, 17297, 198, 9458, 32943, 108436, 119049, 16144, 26955, 246, 123332, 198, 104309, 29295, 123680, 102639, 102204, 33541, 9174, 33671, 15682, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 103359, 117120, 25333, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 66378, 17599, 112, 15682, 31195, 198, 51385, 106353, 20230, 109768, 104533, 108631, 64121, 29295, 43568, 47884, 5486, 117401, 30512, 88356, 87447, 112990, 108631, 64121, 125334, 30369, 102677, 106592, 61826, 39607, 108948, 87177, 30512, 107726, 100481, 90620, 50834, 79721, 9174, 26854, 112371, 32149, 102677, 19732, 5486, 124142, 67669, 34048, 41642, 115195, 16144, 119049, 48634, 29295, 103167, 17297, 15024, 106116, 121894, 29295, 18904, 109095, 84389, 100604, 110674, 5486, 117401, 117824, 76947, 114732, 105879, 5486, 119049, 107079, 29295, 109972, 111600, 20230, 113420, 58942, 102204, 101860, 5486, 108631, 64121, 125334, 38144, 109749, 102677, 100909, 115717, 33541, 9174, 102677, 110229, 16556, 5486, 103359, 117120, 25333, 103306, 15682, 198, 126843, 15682, 5486, 51385, 106353, 117657, 104466, 103801, 109954, 106609, 77693, 19732, 115963, 20230, 31195, 198, 9458, 101721, 95221, 124905, 76947, 16144, 102923, 103991, 198, 120456, 26269, 60868, 78767, 198, 9458, 71634, 44971, 108981, 198, 30512, 108167, 17701, 104028, 19732, 126521, 19732, 116216, 61689, 9174, 80539, 5486, 34226, 20230, 16937, 104873, 30512, 117355, 114485, 124545, 101399, 102052, 5486, 33014, 116388, 30512, 112258, 249, 105262, 20251, 44971, 118928, 94550, 29295, 109215, 115717, 33541, 9174, 77181, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 103359, 117120, 25333, 20230, 19361, 126120, 26854, 33014, 116388, 30512, 112258, 249, 105262, 20251, 44971, 118928, 94550, 126130, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 126843, 5486, 20713, 59739, 30832, 106609, 95543, 103359, 110366, 120938, 17297, 57942, 95, 30512, 89046, 91875, 39926, 110794, 109415, 30369, 20251, 44971, 118928, 94550, 198, 13177, 52591, 118372, 41758, 45923, 115432, 66383, 16995, 61689, 9174, 71289, 31431, 24273, 103306, 15682, 198, 16, 13, 107918, 20230, 110176, 46034, 19732, 110176, 104735, 251, 116825, 102532, 5486, 115499, 117355, 47884, 109415, 5486, 103984, 101911, 15682, 25580, 24273, 121254, 76622, 33541, 9174, 12, 220, 16, 16144, 121894, 55031, 103359, 64936, 101911, 108176, 46034, 107928, 10110, 27452, 116285, 65917, 46034, 19732, 78659, 107928, 7705, 30512, 64467, 61826, 55031, 59739, 17129, 61826, 103296, 112736, 101911, 108176, 105933, 25197, 126989, 16556, 106644, 121710, 111842, 110137, 81219, 17663, 1811, 110137, 81219, 21105, 235, 100472, 110229, 16556, 17, 21909, 18, 47018, 56965, 106353, 82533, 78434, 9174, 18, 13, 88356, 27479, 20713, 16144, 121894, 20230, 114941, 31431, 5486, 116900, 16144, 46034, 107928, 32977, 42016, 103826, 20230, 91875, 19967, 117824, 16995, 5486, 118396, 39209, 106483, 20230, 106644, 121710, 111842, 23039, 30297, 9174, 9458, 100204, 121710, 111842, 605, 18904, 16556, 16, 109753, 30512, 20713, 9080, 17, 109753, 30512, 30832, 51385, 120650, 30297, 19732, 126521, 38641, 9174, 80539, 5486, 25963, 59739, 30832, 106609, 109203, 70141, 50834, 16556, 33014, 116388, 118551, 19732, 115963, 20230, 102478, 97518, 107792, 30512 ]
[ 48915, 108436, 124545, 119049, 48634, 120117, 115541, 198, 13177, 109054, 45923, 44971, 115432, 108748, 78525, 66383, 16995, 61689, 9174, 16, 13, 109203, 70141, 50834, 20230, 121120, 27929, 103854, 31431, 5486, 114948, 16144, 89151, 17297, 20230, 57942, 246, 29295, 109749, 104466, 39926, 5486, 17905, 33014, 30512, 46456, 58942, 33541, 9174, 17, 13, 115519, 30512, 110794, 109415, 5486, 117395, 19732, 102780, 121142, 33014, 30512, 46456, 58942, 33541, 1811, 35818, 24273, 16144, 46034, 15682, 115519, 20230, 40265, 125655, 9174, 18, 13, 17905, 110276, 24273, 16144, 107928, 30512, 110794, 109415, 33541, 9174, 51330, 126101, 102780, 16144, 122382, 102831, 55031, 5486, 107928, 37087, 33014, 30512, 110794, 109415, 30369, 104466, 15024, 5486, 9085, 228, 251, 30512, 110137, 81219, 56051, 110674, 5486, 107928, 30512, 17905, 17297, 124545, 9174, 64780, 91875, 19967, 106644, 121710, 111842, 54926, 105908, 27384, 30926, 115717, 33541, 9174, 9458, 118396, 16144, 107928, 30512, 77693, 108422, 33121, 605, 18904, 30512, 16, 109753, 103306, 5486, 16, 9080, 17, 109753, 30512, 30832, 51385, 120650, 30297, 19732, 126521, 38641, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 103359, 117120, 25333, 71289, 103911, 103181, 16556, 107693, 26854, 104468, 111476, 17905, 57942, 95, 55031, 33014, 116388, 16144, 91875, 50834, 19732, 89046, 91875, 15024, 5486, 95543, 103359, 16144, 17297, 57942, 95, 30512, 22398, 76171, 41758, 123410, 104466, 39926, 72315, 9174, 102478, 97518, 107792, 103378, 20230, 109972, 106529, 29295, 120766, 21105, 103, 16995, 104466, 17905, 57942, 95, 9458, 33014, 116388, 9458, 17297, 57942, 95, 30512, 8239, 114503, 112535, 89046, 91875, 124545, 102677, 100909, 115717, 33541, 9174, 33671, 15682, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 103359, 117120, 25333, 9458, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 112197, 87177, 30512, 109768, 105898, 16995, 106046, 61689, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 113245, 71634, 44971, 108981, 77181, 5486, 102478, 97518, 107792, 16144, 41642, 111331, 71634, 44971, 108981, 29295, 107693, 115717, 33541, 9174, 110924, 16556, 37271, 18904, 15682, 5486, 19, 118821, 119049, 107079, 109853, 100815, 30832, 39926, 5486, 122984, 109768, 105898, 16995, 106046, 61689, 9174, 119049, 107079, 15682, 117896, 16144, 19, 59739, 106609, 9458, 101921, 116, 115519, 119049, 198, 9458, 32943, 108436, 119049, 198, 9458, 27384, 122072, 64803, 103892, 119049, 198, 9458, 27384, 26274, 222, 119049, 198, 126843, 15682, 31195, 198, 47238, 101921, 116, 115519, 119049, 198, 101921, 116, 115519, 119049, 15682, 5486, 101921, 116, 110135, 119049, 19732, 27384, 115519, 119049, 16144, 25963, 118821, 119049, 107079, 30512, 114146, 38144, 36896, 101921, 116, 115519, 119049, 66383, 105324, 102802, 33541, 9174, 51330, 119049, 107079, 16144, 122502, 50834, 15682, 111476, 9458, 101402, 32977, 32977, 30512, 112772, 122765, 30369, 198, 9458, 33334, 100204, 105557, 123410, 198, 9458, 121120, 100934, 121894, 55031, 5486, 17905, 103268, 96356, 30512, 125119, 17663, 198, 102677, 91875, 19967, 123410, 126101, 122502, 50834, 33541, 9174, 101921, 116, 115519, 119049, 16144, 71634, 44971, 108981, 198, 9458, 110137, 81219, 17663, 24273, 16144, 107928, 30512, 74482, 85791, 20230, 73686, 102532, 5486, 118013, 104735, 251, 116825, 47884, 9174, 9458, 111140, 30512, 105714, 31431, 108948, 113351, 9458, 110135, 114457, 30512, 112772, 104584, 50834, 121216, 5486, 102478, 97518, 107792, 16144, 25580, 28190, 29295, 110137, 102802, 100934, 121894, 16556, 966, 47018, 108680, 106644, 42891, 198, 47884, 31431, 71634, 44971, 108981, 117824, 61689, 9174, 33671, 15682, 5486, 32943, 108436, 119049, 19732, 32943, 108436, 119049, 16144, 71634, 44971, 108981, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 32943, 108436, 119049, 16144, 122502, 50834, 15682, 111476, 101402, 32977, 32977, 30512, 115364, 24273, 20230, 60358, 109669, 105784, 102677, 122502, 50834, 115991, 33541, 9174, 32943, 108436, 119049, 16144, 71634, 44971, 108981, 16144, 41007, 15682, 198, 9458, 110137, 81219, 17663, 24273, 16144, 107928, 30512, 48915, 20230, 87447, 50834, 5486, 111930, 113, 30512, 107918, 107294, 105784, 9174, 9458, 101402, 32977, 102944, 32943, 110366, 30512, 966, 47018, 108680, 106644, 121710, 111842, 110137, 81219, 109768, 50834, 33541, 9174, 27384, 122072, 64803, 103892, 119049, 19732, 27384, 122072, 64803, 103892, 119049, 16144, 71634, 44971, 108981, 109853, 33334, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 27384, 122072, 64803, 103892, 119049, 107118, 31195, 198, 9458, 27384, 122072, 74245, 119049, 198, 9458, 48915, 110366, 108285, 119049, 198, 9458, 32943, 110366, 108285, 119049, 198, 9458, 16325, 56965, 108285, 119049, 198, 16144, 19, 118821, 119049, 107079, 16144, 110022, 25666, 16144, 100909, 38641, 9174, 27384, 122072, 64803, 103892, 119049, 16144, 122502, 50834, 15682, 31195, 198, 104735, 251, 30512, 110137, 81219, 17663, 102677, 91875, 19967, 123410, 126101, 122502, 50834, 33541, 9174, 27384, 122072, 64803, 103892, 119049, 16144, 71634, 44971, 108981, 198, 9458, 110137, 81219, 17663, 24273, 16144, 102780, 61075, 30512, 110794, 5486, 111930, 113, 126130, 16175, 119, 20230, 60358, 109669, 105784, 9174, 9458, 101402, 32977, 102944, 25580, 28190, 29295, 110137, 102802, 100934, 121894, 16556, 966, 47018, 108680, 106644, 121710, 31431, 71634, 44971, 108981, 117824, 61689, 9174, 33671, 15682, 110745, 26274, 222, 119049, 19732, 27384, 26274, 222, 119049, 16144, 71634, 44971, 108981, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 27384, 26274, 222, 119049, 16144, 122502, 50834, 15682, 111476, 9458, 102478, 97518, 107792, 30512, 110137, 81219, 17663, 198, 9458, 74245, 80195, 110783, 110095, 30512, 33563, 59739, 198, 102677, 122502, 50834, 115991, 33541, 9174, 27384, 26274, 222, 119049, 16144, 71634, 44971, 108981, 198, 9458, 110137, 81219, 56051, 16995, 24273, 16144, 102780, 30512, 95543, 103359, 16144, 104735, 251, 120938, 20230, 110498, 127397, 108149, 104699, 33503, 119707, 47884, 104466, 54926, 9174, 9458, 103214, 126559, 102780, 20230, 111140, 30512, 60358, 109669, 76622, 100481, 47884, 104466, 33014, 30512, 25580, 24273, 20230, 106644, 121710, 111842, 105987, 17663, 9174, 10110, 51330, 39177, 5486, 105068, 17663, 100204, 29295, 17129, 42891, 114225, 26854, 103836, 121894, 30512, 37689, 109375, 54926, 23954, 64780, 33014, 30512, 25580, 102416, 105987, 17663, 108680, 5486, 114652, 110137, 102802, 33541, 9174, 9458, 508, 47018, 108680, 102987, 105324, 107246, 30512, 21105, 103, 29295, 33503, 23039, 61689, 9174, 102677, 110229, 16556, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 102923, 103991, 71289, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 109853, 112197, 87177, 15682, 5486, 71689, 115717, 33541, 9174, 85701, 103296, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 109853, 108948, 87177, 30512, 107726, 100481, 90620, 50834, 79721, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 71289, 102478, 97518, 107792, 16144, 108631, 64121, 16556, 33334, 101128, 102, 64121, 120332, 15682, 5486, 33014, 116388, 20251, 44971, 118928, 94550, 71289, 71634, 44971, 108981, 30512, 108167, 17701, 106824, 64121, 38144, 72315, 9174, 108631, 64121, 30512, 108167, 21418, 47884, 102052, 5486, 119049, 107079, 30512, 102717, 104699, 56051, 31431, 5486, 101721, 95221, 30512, 11883, 102334, 102923, 103991, 117824, 100472, 31431, 54926, 115789, 107693, 117084, 50834, 33541, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 9458, 102478, 97518, 107792, 16144, 108631, 64121, 16556, 33334, 101128, 102, 64121, 120332, 15682, 5486, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 20230, 48154, 50021, 111813, 72315, 76460, 232, 198, 102478, 97518, 107792, 16144, 108631, 64121, 5486, 115519, 16144, 108631, 64121, 5486, 114948, 16144, 108631, 64121, 5486, 105068, 16325, 16144, 105714, 31431, 5486, 114948, 16144, 22957, 31431, 5486, 109060, 123429, 111848, 104004, 43514, 76537, 43514, 104309, 5486, 102397, 103633, 31640, 109432, 103449, 60358, 115195, 16556, 102923, 103991, 94923, 126130, 106767, 119432, 24273, 15682, 21043, 66776, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 5486, 48154, 37507, 94923, 17297, 65316, 9174, 40265, 94923, 77181, 8239, 112, 126462, 33563, 117126, 32977, 126543, 84389, 33541, 9174, 127408, 26854, 28542, 71289, 107750, 99397, 28542, 104309, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 105823, 198, 53900, 5486, 40265, 94923, 77181, 109060, 123429, 117271, 30512, 106161, 39177, 101682, 76622, 122382, 126020, 33541, 9174, 91739, 241, 40526, 109972, 106529, 15682, 15, 35757, 38641, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 102478, 97518, 107792, 16144, 108631, 64121, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 15682, 104284, 101129, 55038, 9458, 101634, 17905, 9458, 102397, 103633, 31640, 109432, 9458, 102397, 103633, 31640, 100783, 239, 29295, 118801, 9458, 106670, 106554, 9080, 27384, 25580, 9458, 49409, 108710, 78228, 102212, 9458, 114053, 58911, 112624, 9458, 101778, 56235, 101365, 9458, 61786, 106670, 106554, 104309, 101778, 105065, 120018, 124752, 71289, 5486, 102397, 103633, 31640, 55038, 9458, 27384, 34208, 101129, 9458, 103350, 19630, 122, 9458, 27384, 101704, 33563, 9458, 47653, 13153, 106719, 101129, 31106, 120, 9458, 78228, 106719, 5486, 108152, 38248, 104, 37823, 29295, 118801, 9458, 30297, 17663, 16995, 5486, 106150, 114035, 104309, 47653, 13153, 101911, 117758, 39880, 122086, 22398, 29295, 103424, 47884, 5486, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 110745, 34208, 101129, 110745, 34208, 101129, 17039, 101129, 5486, 81180, 109, 101129, 5486, 81180, 109, 101129, 102865, 30512, 15682, 100204, 62004, 103633, 105065, 23530, 5486, 106670, 106554, 23530, 5486, 108710, 78228, 102212, 23530, 5486, 106150, 114035, 23530, 105755, 121771, 115867, 24273, 20230, 37507, 94923, 39926, 115962, 102532, 108086, 33541, 9174, 33334, 111006, 16144, 13177, 108631, 64121, 59712, 16937, 104873, 59712, 109060, 123429, 117271, 59712, 109060, 123429, 117271, 50021, 111813, 59712, 8239, 112, 126462, 10646, 104309, 67645, 16144, 103826, 26854, 30926, 72661, 106391, 16995, 107515, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 102478, 97518, 107792, 16144, 108631, 64121, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 10110, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 7705, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 17297, 65316, 9174, 104735, 251, 30512, 103302, 102639, 115926, 5486, 110137, 81219, 56051, 31431, 54926, 126101, 13177, 89154, 62903, 89154, 62903, 66383, 79785, 29295, 122173, 30369, 102677, 102321, 47523, 29295, 125119, 30369, 109335, 124897, 32149, 95532, 28713, 17129, 20230, 122173, 76947, 114732, 109335, 112832, 72661, 57903, 33541, 29295, 111476, 91875, 47884, 28713, 102802, 20230, 13177, 89154, 62903, 89154, 62903, 10646, 122173, 103836, 116537, 61633, 29295, 109215, 38641, 9174, 104735, 251, 29295, 13177, 89154, 62903, 89154, 62903, 10646, 109020, 104468, 104735, 251, 16144, 97518, 107792, 20230, 95221, 122939, 29295, 36117, 250, 17129, 76947, 114732, 105908, 113385, 38641, 9174, 58426, 114667, 71289, 36117, 250, 117864, 95221, 122939, 29295, 104735, 251, 20230, 58318, 105262, 117375, 109853, 48154, 126362, 109768, 105898, 16995, 106046, 61689, 9174, 104735, 251, 16144, 97518, 107792, 16144, 123274, 15682, 97518, 107792, 107654, 102677, 107654, 16556, 112624, 28713, 116216, 61689, 9174, 51330, 97518, 107792, 107654, 107407, 100909, 112212, 5486, 104735, 251, 30512, 22398, 91062, 106240, 20230, 91875, 32149, 17663, 105908, 125545, 9174, 119627, 90578, 105047, 20230, 104735, 251, 30512, 91875, 32149, 56051, 31431, 5486, 106266, 102800, 124011, 109089, 30512, 112990, 104735, 251, 111363, 121819, 48634, 29295, 124500, 76947, 114732, 118733, 198, 97518, 107792, 107654, 107809, 20230, 31809, 30813, 26854, 95221, 122939, 29295, 125545, 9174, 51330, 121894, 16556, 104735, 251, 16144, 103302, 102639, 110137, 81219, 15024, 30512, 112990, 110371, 95221, 122939, 29295, 127849, 104028, 118733, 13177, 89154, 62903, 89154, 62903, 66383, 95604, 79785, 29295, 122173, 30369, 102677, 100909, 115717, 33541, 9174, 104735, 251, 29295, 13177, 89154, 62903, 89154, 62903, 66383, 122173, 30369, 107493, 108631, 64121, 119703, 102677, 115789, 117902, 106624, 124897, 9174, 108631, 64121, 119703, 19732, 54322, 22324, 39926, 103801, 16995, 29295, 43514, 119627, 5486, 104735, 251, 29295, 13177, 89154, 62903, 89154, 62903, 10646, 122173, 30369, 109335, 104735, 251, 125030, 76947, 126521, 121894, 77181, 124897, 9174, 104735, 251, 15682, 122173, 30369, 107493, 108631, 64121, 120937, 102677, 126513, 5486, 104735, 251, 16144, 97518, 107792, 29295, 100783, 102, 126559, 109755, 33121, 115991, 33541, 9174, 97518, 107792, 16144, 100783, 102, 64121, 15682, 5486, 119273, 104680, 20230, 104735, 251, 16144, 15722, 103, 64121, 124259, 104721, 33208, 109768, 50834, 33541, 9174, 120550, 104533, 90578, 104735, 251, 16144, 15722, 103, 64121, 29295, 102780, 37087, 33014, 16144, 15722, 103, 64121, 102416, 121711, 5486, 124042, 112535, 110135, 114457, 16144, 15722, 103, 64121, 102416, 117282, 118733, 111476, 104735, 251, 121142, 103470, 5486, 111006, 37087, 33014, 111363, 108631, 64121, 107294, 105722, 76947, 50834, 33541, 9174, 104735, 251, 29295, 122173, 30369, 110115, 108631, 64121, 120937, 121894, 120332, 15682, 5486, 61633, 39926, 72315, 9174, 104735, 251, 29295, 13177, 89154, 62903, 89154, 62903, 66383, 122173, 30369, 102321, 47523, 15682, 5486, 43511, 105352, 113385, 115991, 33541, 9174, 126843, 15682, 90578, 13177, 104721, 83799, 34171, 16144, 104735, 251, 97518, 107792, 111329, 108631, 64121, 30512, 112391, 30369, 107803, 16144, 43240, 47884, 15682, 5486, 104735, 251, 97518, 107792, 16144, 122279, 110135, 71289, 110135, 29295, 17663, 31431, 114485, 30369, 13177, 104721, 83799, 34171, 16144, 104735, 251, 97518, 107792, 10646, 29295, 113385, 16144, 115789, 57903, 33541, 9174, 66378, 17599, 112 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48915, 108436, 124545, 119049, 48634, 120117, 115541, 198, 13177, 109054, 45923, 44971, 115432, 108748, 78525, 66383, 16995, 61689, 9174, 16, 13, 109203, 70141, 50834, 20230, 121120, 27929, 103854, 31431, 5486, 114948, 16144, 89151, 17297, 20230, 57942, 246, 29295, 109749, 104466, 39926, 5486, 17905, 33014, 30512, 46456, 58942, 33541, 9174, 17, 13, 115519, 30512, 110794, 109415, 5486, 117395, 19732, 102780, 121142, 33014, 30512, 46456, 58942, 33541, 1811, 35818, 24273, 16144, 46034, 15682, 115519, 20230, 40265, 125655, 9174, 18, 13, 17905, 110276, 24273, 16144, 107928, 30512, 110794, 109415, 33541, 9174, 51330, 126101, 102780, 16144, 122382, 102831, 55031, 5486, 107928, 37087, 33014, 30512, 110794, 109415, 30369, 104466, 15024, 5486, 9085, 228, 251, 30512, 110137, 81219, 56051, 110674, 5486, 107928, 30512, 17905, 17297, 124545, 9174, 64780, 91875, 19967, 106644, 121710, 111842, 54926, 105908, 27384, 30926, 115717, 33541, 9174, 9458, 118396, 16144, 107928, 30512, 77693, 108422, 33121, 605, 18904, 30512, 16, 109753, 103306, 5486, 16, 9080, 17, 109753, 30512, 30832, 51385, 120650, 30297, 19732, 126521, 38641, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 103359, 117120, 25333, 71289, 103911, 103181, 16556, 107693, 26854, 104468, 111476, 17905, 57942, 95, 55031, 33014, 116388, 16144, 91875, 50834, 19732, 89046, 91875, 15024, 5486, 95543, 103359, 16144, 17297, 57942, 95, 30512, 22398, 76171, 41758, 123410, 104466, 39926, 72315, 9174, 102478, 97518, 107792, 103378, 20230, 109972, 106529, 29295, 120766, 21105, 103, 16995, 104466, 17905, 57942, 95, 9458, 33014, 116388, 9458, 17297, 57942, 95, 30512, 8239, 114503, 112535, 89046, 91875, 124545, 102677, 100909, 115717, 33541, 9174, 33671, 15682, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 103359, 117120, 25333, 9458, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 112197, 87177, 30512, 109768, 105898, 16995, 106046, 61689, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 113245, 71634, 44971, 108981, 77181, 5486, 102478, 97518, 107792, 16144, 41642, 111331, 71634, 44971, 108981, 29295, 107693, 115717, 33541, 9174, 110924, 16556, 37271, 18904, 15682, 5486, 19, 118821, 119049, 107079, 109853, 100815, 30832, 39926, 5486, 122984, 109768, 105898, 16995, 106046, 61689, 9174, 119049, 107079, 15682, 117896, 16144, 19, 59739, 106609, 9458, 101921, 116, 115519, 119049, 198, 9458, 32943, 108436, 119049, 198, 9458, 27384, 122072, 64803, 103892, 119049, 198, 9458, 27384, 26274, 222, 119049, 198, 126843, 15682, 31195, 198, 47238, 101921, 116, 115519, 119049, 198, 101921, 116, 115519, 119049, 15682, 5486, 101921, 116, 110135, 119049, 19732, 27384, 115519, 119049, 16144, 25963, 118821, 119049, 107079, 30512, 114146, 38144, 36896, 101921, 116, 115519, 119049, 66383, 105324, 102802, 33541, 9174, 51330, 119049, 107079, 16144, 122502, 50834, 15682, 111476, 9458, 101402, 32977, 32977, 30512, 112772, 122765, 30369, 198, 9458, 33334, 100204, 105557, 123410, 198, 9458, 121120, 100934, 121894, 55031, 5486, 17905, 103268, 96356, 30512, 125119, 17663, 198, 102677, 91875, 19967, 123410, 126101, 122502, 50834, 33541, 9174, 101921, 116, 115519, 119049, 16144, 71634, 44971, 108981, 198, 9458, 110137, 81219, 17663, 24273, 16144, 107928, 30512, 74482, 85791, 20230, 73686, 102532, 5486, 118013, 104735, 251, 116825, 47884, 9174, 9458, 111140, 30512, 105714, 31431, 108948, 113351, 9458, 110135, 114457, 30512, 112772, 104584, 50834, 121216, 5486, 102478, 97518, 107792, 16144, 25580, 28190, 29295, 110137, 102802, 100934, 121894, 16556, 966, 47018, 108680, 106644, 42891, 198, 47884, 31431, 71634, 44971, 108981, 117824, 61689, 9174, 33671, 15682, 5486, 32943, 108436, 119049, 19732, 32943, 108436, 119049, 16144, 71634, 44971, 108981, 109853, 108948, 87177, 107726, 100481, 90620, 105898, 16995, 106046, 61689, 9174, 32943, 108436, 119049, 16144, 122502, 50834, 15682, 111476, 101402, 32977, 32977, 30512, 115364, 24273, 20230, 60358, 109669, 105784, 102677, 122502, 50834, 115991, 33541, 9174, 32943, 108436, 119049, 16144, 71634, 44971, 108981, 16144, 41007, 15682, 198, 9458, 110137, 81219, 17663, 24273, 16144, 107928, 30512, 48915, 20230, 87447, 50834, 5486, 111930, 113, 30512, 107918, 107294, 105784, 9174, 9458, 101402, 32977, 102944, 32943, 110366, 30512, 966, 47018, 108680, 106644, 121710, 111842, 110137, 81219, 109768, 50834, 33541, 9174, 27384, 122072, 64803, 103892, 119049, 19732, 27384, 122072, 64803, 103892, 119049, 16144, 71634, 44971, 108981, 109853, 33334, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 27384, 122072, 64803, 103892, 119049, 107118, 31195, 198, 9458, 27384, 122072, 74245, 119049, 198, 9458, 48915, 110366, 108285, 119049, 198, 9458, 32943, 110366, 108285, 119049, 198, 9458, 16325, 56965, 108285, 119049, 198, 16144, 19, 118821, 119049, 107079, 16144, 110022, 25666, 16144, 100909, 38641, 9174, 27384, 122072, 64803, 103892, 119049, 16144, 122502, 50834, 15682, 31195, 198, 104735, 251, 30512, 110137, 81219, 17663, 102677, 91875, 19967, 123410, 126101, 122502, 50834, 33541, 9174, 27384, 122072, 64803, 103892, 119049, 16144, 71634, 44971, 108981, 198, 9458, 110137, 81219, 17663, 24273, 16144, 102780, 61075, 30512, 110794, 5486, 111930, 113, 126130, 16175, 119, 20230, 60358, 109669, 105784, 9174, 9458, 101402, 32977, 102944, 25580, 28190, 29295, 110137, 102802, 100934, 121894, 16556, 966, 47018, 108680, 106644, 121710, 31431, 71634, 44971, 108981, 117824, 61689, 9174, 33671, 15682, 110745, 26274, 222, 119049, 19732, 27384, 26274, 222, 119049, 16144, 71634, 44971, 108981, 109853, 108948, 87177, 109768, 105898, 16995, 106046, 61689, 9174, 27384, 26274, 222, 119049, 16144, 122502, 50834, 15682, 111476, 9458, 102478, 97518, 107792, 30512, 110137, 81219, 17663, 198, 9458, 74245, 80195, 110783, 110095, 30512, 33563, 59739, 198, 102677, 122502, 50834, 115991, 33541, 9174, 27384, 26274, 222, 119049, 16144, 71634, 44971, 108981, 198, 9458, 110137, 81219, 56051, 16995, 24273, 16144, 102780, 30512, 95543, 103359, 16144, 104735, 251, 120938, 20230, 110498, 127397, 108149, 104699, 33503, 119707, 47884, 104466, 54926, 9174, 9458, 103214, 126559, 102780, 20230, 111140, 30512, 60358, 109669, 76622, 100481, 47884, 104466, 33014, 30512, 25580, 24273, 20230, 106644, 121710, 111842, 105987, 17663, 9174, 10110, 51330, 39177, 5486, 105068, 17663, 100204, 29295, 17129, 42891, 114225, 26854, 103836, 121894, 30512, 37689, 109375, 54926, 23954, 64780, 33014, 30512, 25580, 102416, 105987, 17663, 108680, 5486, 114652, 110137, 102802, 33541, 9174, 9458, 508, 47018, 108680, 102987, 105324, 107246, 30512, 21105, 103, 29295, 33503, 23039, 61689, 9174, 102677, 110229, 16556, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 16144, 102923, 103991, 71289, 103911, 103181, 20230, 19361, 126120, 26854, 71634, 44971, 108981, 109853, 112197, 87177, 15682, 5486, 71689, 115717, 33541, 9174, 85701, 103296, 5486, 124142, 67669, 34048, 16144, 108631, 64121, 109853, 108948, 87177, 30512, 107726, 100481, 90620, 50834, 79721, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 71289, 102478, 97518, 107792, 16144, 108631, 64121, 16556, 33334, 101128, 102, 64121, 120332, 15682, 5486, 33014, 116388, 20251, 44971, 118928, 94550, 71289, 71634, 44971, 108981, 30512, 108167, 17701, 106824, 64121, 38144, 72315, 9174, 108631, 64121, 30512, 108167, 21418, 47884, 102052, 5486, 119049, 107079, 30512, 102717, 104699, 56051, 31431, 5486, 101721, 95221, 30512, 11883, 102334, 102923, 103991, 117824, 100472, 31431, 54926, 115789, 107693, 117084, 50834, 33541, 9174, 124142, 67669, 34048, 16144, 108631, 64121, 9458, 102478, 97518, 107792, 16144, 108631, 64121, 16556, 33334, 101128, 102, 64121, 120332, 15682, 5486, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 20230, 48154, 50021, 111813, 72315, 76460, 232, 198, 102478, 97518, 107792, 16144, 108631, 64121, 5486, 115519, 16144, 108631, 64121, 5486, 114948, 16144, 108631, 64121, 5486, 105068, 16325, 16144, 105714, 31431, 5486, 114948, 16144, 22957, 31431, 5486, 109060, 123429, 111848, 104004, 43514, 76537, 43514, 104309, 5486, 102397, 103633, 31640, 109432, 103449, 60358, 115195, 16556, 102923, 103991, 94923, 126130, 106767, 119432, 24273, 15682, 21043, 66776, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 5486, 48154, 37507, 94923, 17297, 65316, 9174, 40265, 94923, 77181, 8239, 112, 126462, 33563, 117126, 32977, 126543, 84389, 33541, 9174, 127408, 26854, 28542, 71289, 107750, 99397, 28542, 104309, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 105823, 198, 53900, 5486, 40265, 94923, 77181, 109060, 123429, 117271, 30512, 106161, 39177, 101682, 76622, 122382, 126020, 33541, 9174, 91739, 241, 40526, 109972, 106529, 15682, 15, 35757, 38641, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 102478, 97518, 107792, 16144, 108631, 64121, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 15682, 104284, 101129, 55038, 9458, 101634, 17905, 9458, 102397, 103633, 31640, 109432, 9458, 102397, 103633, 31640, 100783, 239, 29295, 118801, 9458, 106670, 106554, 9080, 27384, 25580, 9458, 49409, 108710, 78228, 102212, 9458, 114053, 58911, 112624, 9458, 101778, 56235, 101365, 9458, 61786, 106670, 106554, 104309, 101778, 105065, 120018, 124752, 71289, 5486, 102397, 103633, 31640, 55038, 9458, 27384, 34208, 101129, 9458, 103350, 19630, 122, 9458, 27384, 101704, 33563, 9458, 47653, 13153, 106719, 101129, 31106, 120, 9458, 78228, 106719, 5486, 108152, 38248, 104, 37823, 29295, 118801, 9458, 30297, 17663, 16995, 5486, 106150, 114035, 104309, 47653, 13153, 101911, 117758, 39880, 122086, 22398, 29295, 103424, 47884, 5486, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 110745, 34208, 101129, 110745, 34208, 101129, 17039, 101129, 5486, 81180, 109, 101129, 5486, 81180, 109, 101129, 102865, 30512, 15682, 100204, 62004, 103633, 105065, 23530, 5486, 106670, 106554, 23530, 5486, 108710, 78228, 102212, 23530, 5486, 106150, 114035, 23530, 105755, 121771, 115867, 24273, 20230, 37507, 94923, 39926, 115962, 102532, 108086, 33541, 9174, 33334, 111006, 16144, 13177, 108631, 64121, 59712, 16937, 104873, 59712, 109060, 123429, 117271, 59712, 109060, 123429, 117271, 50021, 111813, 59712, 8239, 112, 126462, 10646, 104309, 67645, 16144, 103826, 26854, 30926, 72661, 106391, 16995, 107515, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 102478, 97518, 107792, 16144, 108631, 64121, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 10110, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 7705, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 17297, 65316, 9174, 104735, 251, 30512, 103302, 102639, 115926, 5486, 110137, 81219, 56051, 31431, 54926, 126101, 13177, 89154, 62903, 89154, 62903, 66383, 79785, 29295, 122173, 30369, 102677, 102321, 47523, 29295, 125119, 30369, 109335, 124897, 32149, 95532, 28713, 17129, 20230, 122173, 76947, 114732, 109335, 112832, 72661, 57903, 33541, 29295, 111476, 91875, 47884, 28713, 102802, 20230, 13177, 89154, 62903, 89154, 62903, 10646, 122173, 103836, 116537, 61633, 29295, 109215, 38641, 9174, 104735, 251, 29295, 13177, 89154, 62903, 89154, 62903, 10646, 109020, 104468, 104735, 251, 16144, 97518, 107792, 20230, 95221, 122939, 29295, 36117, 250, 17129, 76947, 114732, 105908, 113385, 38641, 9174, 58426, 114667, 71289, 36117, 250, 117864, 95221, 122939, 29295, 104735, 251, 20230, 58318, 105262, 117375, 109853, 48154, 126362, 109768, 105898, 16995, 106046, 61689, 9174, 104735, 251, 16144, 97518, 107792, 16144, 123274, 15682, 97518, 107792, 107654, 102677, 107654, 16556, 112624, 28713, 116216, 61689, 9174, 51330, 97518, 107792, 107654, 107407, 100909, 112212, 5486, 104735, 251, 30512, 22398, 91062, 106240, 20230, 91875, 32149, 17663, 105908, 125545, 9174, 119627, 90578, 105047, 20230, 104735, 251, 30512, 91875, 32149, 56051, 31431, 5486, 106266, 102800, 124011, 109089, 30512, 112990, 104735, 251, 111363, 121819, 48634, 29295, 124500, 76947, 114732, 118733, 198, 97518, 107792, 107654, 107809, 20230, 31809, 30813, 26854, 95221, 122939, 29295, 125545, 9174, 51330, 121894, 16556, 104735, 251, 16144, 103302, 102639, 110137, 81219, 15024, 30512, 112990, 110371, 95221, 122939, 29295, 127849, 104028, 118733, 13177, 89154, 62903, 89154, 62903, 66383, 95604, 79785, 29295, 122173, 30369, 102677, 100909, 115717, 33541, 9174, 104735, 251, 29295, 13177, 89154, 62903, 89154, 62903, 66383, 122173, 30369, 107493, 108631, 64121, 119703, 102677, 115789, 117902, 106624, 124897, 9174, 108631, 64121, 119703, 19732, 54322, 22324, 39926, 103801, 16995, 29295, 43514, 119627, 5486, 104735, 251, 29295, 13177, 89154, 62903, 89154, 62903, 10646, 122173, 30369, 109335, 104735, 251, 125030, 76947, 126521, 121894, 77181, 124897, 9174, 104735, 251, 15682, 122173, 30369, 107493, 108631, 64121, 120937, 102677, 126513, 5486, 104735, 251, 16144, 97518, 107792, 29295, 100783, 102, 126559, 109755, 33121, 115991, 33541, 9174, 97518, 107792, 16144, 100783, 102, 64121, 15682, 5486, 119273, 104680, 20230, 104735, 251, 16144, 15722, 103, 64121, 124259, 104721, 33208, 109768, 50834, 33541, 9174, 120550, 104533, 90578, 104735, 251, 16144, 15722, 103, 64121, 29295, 102780, 37087, 33014, 16144, 15722, 103, 64121, 102416, 121711, 5486, 124042, 112535, 110135, 114457, 16144, 15722, 103, 64121, 102416, 117282, 118733, 111476, 104735, 251, 121142, 103470, 5486, 111006, 37087, 33014, 111363, 108631, 64121, 107294, 105722, 76947, 50834, 33541, 9174, 104735, 251, 29295, 122173, 30369, 110115, 108631, 64121, 120937, 121894, 120332, 15682, 5486, 61633, 39926, 72315, 9174, 104735, 251, 29295, 13177, 89154, 62903, 89154, 62903, 66383, 122173, 30369, 102321, 47523, 15682, 5486, 43511, 105352, 113385, 115991, 33541, 9174, 126843, 15682, 90578, 13177, 104721, 83799, 34171, 16144, 104735, 251, 97518, 107792, 111329, 108631, 64121, 30512, 112391, 30369, 107803, 16144, 43240, 47884, 15682, 5486, 104735, 251, 97518, 107792, 16144, 122279, 110135, 71289, 110135, 29295, 17663, 31431, 114485, 30369, 13177, 104721, 83799, 34171, 16144, 104735, 251, 97518, 107792, 10646, 29295, 113385, 16144, 115789, 57903, 33541, 9174, 66378, 17599, 112 ]
[ 103306, 15682, 5486, 104735, 251, 30512, 91875, 32149, 17663, 110018, 15024, 104004, 105933, 108631, 64121, 29295, 125119, 31431, 33541, 9174, 108031, 15120, 59739, 15682, 198, 13177, 104735, 251, 105623, 233, 122279, 110135, 16144, 122279, 33208, 111329, 104735, 251, 16144, 9444, 123, 16144, 118124, 16144, 122279, 110135, 19732, 27384, 122072, 110135, 29295, 22957, 17663, 106824, 5486, 16937, 104873, 30512, 125119, 17663, 13177, 104735, 251, 105623, 233, 122279, 110135, 16144, 122279, 33208, 10646, 32977, 57903, 33541, 9174, 66378, 17599, 112, 103306, 15682, 5486, 104735, 251, 16144, 9444, 123, 30512, 110408, 17663, 19732, 108631, 64121, 30512, 112391, 33541, 9174, 51330, 104735, 251, 16144, 13177, 89154, 62903, 89154, 62903, 66383, 122173, 30369, 79785, 30512, 67645, 119775, 103359, 105226, 127564, 104712, 104865, 95221, 115717, 33541, 123794, 95532, 64209, 29295, 76622, 100481, 90620, 47884, 109335, 5486, 107943, 20230, 111108, 102800, 109335, 124897, 9174, 126843, 15682, 378, 120, 30337, 236, 198, 109431, 27479, 26854, 117401, 19732, 66953, 93488, 117718, 126521, 102456, 30926, 30512, 64209, 29295, 105784, 105908, 27384, 102769, 38641, 9174, 121410, 9080, 71634, 44971, 108981, 117824, 30297, 108710, 101557, 96, 116825, 107441, 32977, 104712, 32149, 110241, 33121, 107515, 9174, 53900, 5486, 105047, 20230, 80195, 100472, 31431, 103605, 100472, 31431, 54926, 106592, 21105, 103, 16995, 104466, 64209, 29295, 76622, 17129, 109954, 9174, 108631, 64121, 119703, 55031, 19732, 54322, 76947, 33334, 47884, 109335, 5486, 126521, 100909, 77181, 124897, 9174, 110241, 5486, 104735, 251, 16144, 79785, 29295, 118430, 118095, 20230, 122173, 30369, 5486, 108631, 64121, 125334, 38144, 105898, 102677, 16937, 104873, 16556, 33334, 101128, 102, 64121, 120332, 15682, 111476, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 102416, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 76460, 232, 198, 115519, 16144, 108631, 64121, 5486, 114948, 16144, 108631, 64121, 5486, 105068, 16325, 16144, 105714, 31431, 5486, 114948, 16144, 22957, 31431, 5486, 109060, 123429, 111848, 104004, 43514, 76537, 43514, 104309, 5486, 102397, 103633, 31640, 109432, 103449, 60358, 115195, 16556, 102923, 103991, 94923, 126130, 106767, 119432, 24273, 15682, 21043, 66776, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 5486, 48154, 37507, 94923, 17297, 65316, 9174, 127408, 26854, 28542, 71289, 107750, 99397, 28542, 104309, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 105823, 47238, 198, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 15682, 104284, 101129, 55038, 9458, 101634, 17905, 9458, 102397, 103633, 31640, 109432, 9458, 102397, 103633, 31640, 100783, 239, 29295, 118801, 9458, 106670, 106554, 9080, 27384, 25580, 9458, 49409, 108710, 78228, 102212, 9458, 114053, 58911, 112624, 9458, 101778, 56235, 101365, 9458, 61786, 106670, 106554, 104309, 101778, 105065, 120018, 124752, 71289, 5486, 102397, 103633, 31640, 55038, 9458, 27384, 34208, 101129, 9458, 103350, 19630, 122, 9458, 27384, 101704, 33563, 9458, 47653, 13153, 106719, 101129, 31106, 120, 9458, 78228, 106719, 5486, 108152, 38248, 104, 37823, 29295, 118801, 9458, 30297, 17663, 16995, 5486, 106150, 114035, 104309, 47653, 13153, 101911, 117758, 39880, 122086, 22398, 29295, 103424, 47884, 5486, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 110745, 34208, 101129, 110745, 34208, 101129, 17039, 101129, 5486, 81180, 109, 101129, 5486, 81180, 109, 101129, 102865, 30512, 15682, 100204, 62004, 103633, 105065, 23530, 5486, 106670, 106554, 23530, 5486, 108710, 78228, 102212, 23530, 5486, 106150, 114035, 23530, 105755, 121771, 115867, 24273, 20230, 37507, 94923, 39926, 115962, 102532, 108086, 33541, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 110335, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 17297, 65316, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 38641, 9174, 37271, 18904, 15682, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 112028, 59739, 16556, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 16144, 106759, 64467, 118124, 16144, 108631, 64121, 30512, 102404, 54926, 198, 26955, 229, 50266, 122, 104091, 45829, 110135, 16144, 108631, 64121, 198, 109853, 33334, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 26955, 229, 50266, 122, 104091, 45829, 110135, 107118, 102780, 16144, 118124, 16144, 106759, 64467, 16144, 122382, 102831, 16144, 118124, 110366, 20230, 57903, 33541, 59459, 64780, 117039, 16144, 109657, 16995, 115412, 16556, 116310, 17129, 103468, 105494, 23954, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 16144, 106759, 64467, 16144, 118124, 16144, 108631, 64121, 15682, 26854, 112371, 125119, 30369, 104865, 31195, 198, 117039, 16144, 109657, 16995, 113692, 16144, 105494, 5486, 104091, 45829, 110135, 15682, 104091, 120950, 83799, 126198, 110135, 29295, 17, 102159, 57903, 33541, 9174, 51330, 104091, 45829, 110135, 16144, 41642, 112586, 119049, 107079, 71289, 101921, 109, 29295, 43167, 17129, 76947, 108086, 5486, 119049, 107079, 71289, 101921, 109, 29295, 126120, 96455, 114652, 91875, 47884, 124122, 111983, 103129, 30512, 103792, 112973, 104091, 45829, 110135, 38641, 9174, 105564, 102334, 31431, 102149, 100472, 111842, 102780, 30512, 115064, 112, 31431, 121406, 110018, 20230, 5486, 102780, 16144, 118124, 16144, 119049, 107079, 10110, 102780, 104792, 119049, 119735, 126238, 105714, 39926, 104091, 45829, 110135, 102052, 73686, 42891, 105714, 110071, 48634, 29295, 21601, 116547, 33541, 9174, 51330, 17044, 121, 73686, 48634, 113468, 104091, 45829, 110135, 20230, 16937, 104873, 29295, 125119, 31431, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 16144, 106759, 64467, 16144, 118124, 16144, 108631, 64121, 30512, 102404, 39926, 103801, 61689, 9174, 53900, 5486, 21990, 123606, 59739, 50834, 32943, 110366, 16144, 104091, 45829, 110135, 29295, 17, 59739, 20230, 17620, 117068, 103792, 10110, 17620, 117068, 104091, 45829, 110135, 7705, 107803, 115991, 110371, 107803, 32977, 108631, 64121, 16144, 113385, 104856, 103836, 107803, 115991, 33541, 9174, 58426, 102717, 111201, 5486, 74090, 119870, 126843, 29295, 21105, 96, 107277, 103792, 102780, 16144, 104486, 29295, 126574, 10110, 126507, 39880, 113335, 7705, 102780, 30512, 103792, 17792, 20230, 43240, 47884, 91774, 110071, 101427, 122, 70141, 20230, 57903, 33541, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 16144, 106759, 64467, 16144, 118124, 30512, 102404, 54926, 104091, 45829, 110135, 16144, 16937, 104873, 30512, 102404, 21990, 39926, 114604, 107803, 5486, 108631, 64121, 29295, 104195, 16995, 126513, 117401, 30512, 105677, 82533, 15024, 5486, 102780, 16144, 118124, 112649, 117295, 127852, 107666, 71289, 109972, 106529, 30512, 117355, 114485, 54926, 113009, 115289, 33503, 121867, 72238, 103234, 16556, 103082, 100934, 80805, 105404, 30512, 26955, 229, 50266, 122, 79059, 16144, 105494, 30512, 47884, 31431, 113487, 47884, 104309, 39926, 107740, 54926, 123017, 103424, 117201, 109954, 9174, 102780, 16144, 118124, 10110, 102780, 104792, 119049, 7705, 20230, 110567, 30813, 29295, 64121, 110071, 126513, 5486, 102780, 16144, 118124, 16144, 115289, 122279, 34171, 30512, 108167, 114941, 17663, 124122, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 16073, 117824, 30297, 104466, 109768, 50834, 17129, 109954, 9174, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 113883, 106548, 24273, 29295, 78183, 124403, 126513, 32977, 43514, 85791, 116233, 29295, 5486, 114363, 103722, 46729, 111363, 50021, 111813, 15682, 27384, 102769, 26854, 100909, 38641, 9174, 114363, 103722, 46729, 111363, 50021, 111813, 32977, 112727, 110615, 104466, 103801, 109954, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 15682, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 110745, 34208, 101129, 110745, 34208, 101129, 17039, 101129, 5486, 81180, 109, 101129, 5486, 81180, 109, 101129, 102865, 30512, 15682, 100204, 62004, 103633, 105065, 23530, 5486, 106670, 106554, 23530, 5486, 108710, 78228, 102212, 23530, 105755, 121771, 115867, 24273, 20230, 37507, 94923, 39926, 115962, 102532, 108086, 33541, 9174, 33334, 111006, 16144, 13177, 108631, 64121, 59712, 16937, 104873, 59712, 109060, 123429, 117271, 59712, 109060, 123429, 117271, 50021, 111813, 10646, 104309, 67645, 16144, 103826, 26854, 30926, 72661, 106391, 16995, 107515, 9174, 165, 104247, 9458, 110135, 114457, 100543, 107, 37656, 9458, 124011, 109089, 122692, 16937, 104873, 9458, 109060, 123429, 117271, 198, 37271, 18904, 15682, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 104792, 16144, 108631, 64121, 198, 102780, 104792, 119049, 115716, 16144, 108631, 64121, 116806, 113335, 16144, 16937, 104873, 198, 112073, 103826, 15682, 13177, 15355, 223, 50211, 102780, 10110, 102416, 25827, 2243, 118, 16995, 27929, 47884, 7705, 10646, 102677, 112690, 30512, 104655, 102334, 105908, 57903, 33541, 32149, 95532, 114516, 16144, 102780, 15682, 198, 118075, 107429, 111, 16144, 30537, 20713, 50266, 122, 55031, 111930, 113, 10110, 32149, 32149, 19732, 7705, 112649, 107441, 11651, 110096, 110366, 39880, 113335, 198, 119560, 107429, 111, 16144, 30537, 44597, 50266, 122, 55031, 111930, 113, 10110, 32149, 32149, 19732, 7705, 112649, 107441, 11651, 106547, 110366, 39880, 113335, 198, 98115, 224, 107429, 111, 16144, 30537, 20713, 50266, 122, 55031, 30537, 44597, 50266, 122, 112169, 112649, 107441, 11651, 108425, 103, 39880, 113335, 198, 71689, 16144, 18, 118821, 39880, 113335, 103397, 16144, 103302, 101911, 30512, 33563, 103836, 118733, 127852, 107666, 30512, 107246, 110226, 54926, 105908, 125545, 9174, 15355, 223, 50211, 102780, 15682, 106116, 39880, 113335, 103397, 16144, 103302, 101911, 16144, 100604, 121894, 5486, 102780, 16144, 118124, 29295, 104328, 33503, 106956, 121894, 16556, 5486, 74090, 119870, 126843, 29295, 102717, 19732, 124592, 100604, 121894, 16144, 102780, 16144, 106592, 78244, 61689, 9174, 112073, 103826, 15682, 13177, 126507, 39880, 113335, 66383, 95604, 112690, 32977, 104655, 102334, 105908, 57903, 33541, 32149, 95532, 126507, 39880, 113335, 107118, 15355, 223, 50211, 102780, 107118, 116900, 16556, 39880, 113335, 103397, 16144, 103302, 101911, 29295, 126574, 102944, 30512, 16995, 61689, 9174, 64780, 108072, 25197, 39880, 113335, 16144, 116537, 13177, 102780, 50266, 122, 30512, 95543, 117063, 30369, 23706, 244, 10110, 64467, 109415, 102780, 7705, 10646, 124911, 20230, 43240, 47884, 91774, 102204, 33541, 9174, 102780, 104792, 119049, 115716, 15682, 111930, 113, 16144, 110135, 10110, 111930, 113, 110135, 7705, 55031, 20, 22656, 16144, 102780, 50266, 122, 16144, 122382, 102831, 10110, 16325, 102780, 110135, 7705, 103296, 15355, 229, 103397, 20230, 108285, 29295, 30369, 116213, 16995, 115716, 103397, 16144, 119049, 107079, 38641, 9174, 102780, 104792, 119049, 115716, 16144, 122502, 50834, 103306, 13177, 112959, 50834, 109415, 101513, 106391, 66383, 95604, 102944, 115991, 33541, 9174, 112959, 50834, 109415, 101513, 106391, 107118, 5486, 102780, 16144, 64467, 30512, 95543, 117063, 30369, 10110, 105068, 23602, 230, 7705, 107726, 104533, 102780, 104792, 119049, 115716, 29295, 112959, 50834, 109415, 102204, 74090, 119870, 126843, 16144, 39880, 113335, 29295, 110794, 115442, 30369, 106592, 78244, 61689, 9174, 51330, 122502, 50834, 113468, 102780, 34048, 30512, 51385, 23187, 107726, 5486, 100815, 30590, 125344, 127852, 107666, 107246, 110226, 19732, 115064, 112, 31431, 121216, 125344, 84851, 103130, 123457, 21990, 64121, 20834, 78434, 9174, 59739, 109709, 115132, 113335, 29295, 17297, 29295, 31431, 74090, 119870, 126843, 29295, 123733, 76947, 114732, 19732, 5486, 17905, 61304, 13177, 112959, 50834, 109415, 101513, 106391, 10646, 29295, 30297, 17129, 47884, 122502, 32149, 123733, 31431, 5486, 127852, 107666, 107246, 110226, 19732, 115064, 112, 31431, 121216, 60868, 121057, 29295, 103082, 123733, 31431, 33541, 9174, 58426, 113702, 5486, 102780, 104792, 119049, 115716, 20230, 27384, 112495, 71634, 108744, 29295, 32149, 126469, 103801, 16995, 16937, 104873, 29295, 125119, 76947, 114732, 19732, 113727, 124195, 61689, 9174, 53900, 115132, 113335, 29295, 17297, 29295, 76947, 114732, 127177, 113385, 103306, 13177, 109503, 110135, 17297, 97518, 107792, 10110, 50834, 103701, 22957, 59739, 32149, 32149, 25827, 72342, 59739, 120732, 103188, 18904, 32943, 10110, 32149, 121867, 100604, 7705, 10646, 29295, 123680, 102639, 102204, 33541, 9174, 109503, 110135, 17297, 97518, 107792, 16144, 103188, 18904, 32943, 30512, 112825, 110904, 20230, 122984, 112990, 111930, 113, 16144, 110135, 10110, 111930, 113, 110135, 7705, 29295, 32943, 110366, 20230, 105987, 104028, 102321, 47523, 38641, 9174, 51330, 109503, 110135, 17297, 97518, 107792, 16144, 103188, 18904, 32943, 29295, 125119, 30369, 118733, 39880, 113335, 29295, 17297, 29295, 76947, 103801, 61689, 9174, 102677, 109335, 5486, 61826, 108680, 33334, 87177, 107726, 100481, 90620, 102334, 104466, 5486, 102780, 34048, 16144, 51385, 23187, 30512, 109205, 69978, 54926, 105908, 103082 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 15682, 5486, 104735, 251, 30512, 91875, 32149, 17663, 110018, 15024, 104004, 105933, 108631, 64121, 29295, 125119, 31431, 33541, 9174, 108031, 15120, 59739, 15682, 198, 13177, 104735, 251, 105623, 233, 122279, 110135, 16144, 122279, 33208, 111329, 104735, 251, 16144, 9444, 123, 16144, 118124, 16144, 122279, 110135, 19732, 27384, 122072, 110135, 29295, 22957, 17663, 106824, 5486, 16937, 104873, 30512, 125119, 17663, 13177, 104735, 251, 105623, 233, 122279, 110135, 16144, 122279, 33208, 10646, 32977, 57903, 33541, 9174, 66378, 17599, 112, 103306, 15682, 5486, 104735, 251, 16144, 9444, 123, 30512, 110408, 17663, 19732, 108631, 64121, 30512, 112391, 33541, 9174, 51330, 104735, 251, 16144, 13177, 89154, 62903, 89154, 62903, 66383, 122173, 30369, 79785, 30512, 67645, 119775, 103359, 105226, 127564, 104712, 104865, 95221, 115717, 33541, 123794, 95532, 64209, 29295, 76622, 100481, 90620, 47884, 109335, 5486, 107943, 20230, 111108, 102800, 109335, 124897, 9174, 126843, 15682, 378, 120, 30337, 236, 198, 109431, 27479, 26854, 117401, 19732, 66953, 93488, 117718, 126521, 102456, 30926, 30512, 64209, 29295, 105784, 105908, 27384, 102769, 38641, 9174, 121410, 9080, 71634, 44971, 108981, 117824, 30297, 108710, 101557, 96, 116825, 107441, 32977, 104712, 32149, 110241, 33121, 107515, 9174, 53900, 5486, 105047, 20230, 80195, 100472, 31431, 103605, 100472, 31431, 54926, 106592, 21105, 103, 16995, 104466, 64209, 29295, 76622, 17129, 109954, 9174, 108631, 64121, 119703, 55031, 19732, 54322, 76947, 33334, 47884, 109335, 5486, 126521, 100909, 77181, 124897, 9174, 110241, 5486, 104735, 251, 16144, 79785, 29295, 118430, 118095, 20230, 122173, 30369, 5486, 108631, 64121, 125334, 38144, 105898, 102677, 16937, 104873, 16556, 33334, 101128, 102, 64121, 120332, 15682, 111476, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 102416, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 72315, 76460, 232, 198, 115519, 16144, 108631, 64121, 5486, 114948, 16144, 108631, 64121, 5486, 105068, 16325, 16144, 105714, 31431, 5486, 114948, 16144, 22957, 31431, 5486, 109060, 123429, 111848, 104004, 43514, 76537, 43514, 104309, 5486, 102397, 103633, 31640, 109432, 103449, 60358, 115195, 16556, 102923, 103991, 94923, 126130, 106767, 119432, 24273, 15682, 21043, 66776, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 5486, 48154, 37507, 94923, 17297, 65316, 9174, 127408, 26854, 28542, 71289, 107750, 99397, 28542, 104309, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 105823, 47238, 198, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 15682, 104284, 101129, 55038, 9458, 101634, 17905, 9458, 102397, 103633, 31640, 109432, 9458, 102397, 103633, 31640, 100783, 239, 29295, 118801, 9458, 106670, 106554, 9080, 27384, 25580, 9458, 49409, 108710, 78228, 102212, 9458, 114053, 58911, 112624, 9458, 101778, 56235, 101365, 9458, 61786, 106670, 106554, 104309, 101778, 105065, 120018, 124752, 71289, 5486, 102397, 103633, 31640, 55038, 9458, 27384, 34208, 101129, 9458, 103350, 19630, 122, 9458, 27384, 101704, 33563, 9458, 47653, 13153, 106719, 101129, 31106, 120, 9458, 78228, 106719, 5486, 108152, 38248, 104, 37823, 29295, 118801, 9458, 30297, 17663, 16995, 5486, 106150, 114035, 104309, 47653, 13153, 101911, 117758, 39880, 122086, 22398, 29295, 103424, 47884, 5486, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 110745, 34208, 101129, 110745, 34208, 101129, 17039, 101129, 5486, 81180, 109, 101129, 5486, 81180, 109, 101129, 102865, 30512, 15682, 100204, 62004, 103633, 105065, 23530, 5486, 106670, 106554, 23530, 5486, 108710, 78228, 102212, 23530, 5486, 106150, 114035, 23530, 105755, 121771, 115867, 24273, 20230, 37507, 94923, 39926, 115962, 102532, 108086, 33541, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 110335, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 17297, 65316, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 38641, 9174, 37271, 18904, 15682, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 112028, 59739, 16556, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 16144, 106759, 64467, 118124, 16144, 108631, 64121, 30512, 102404, 54926, 198, 26955, 229, 50266, 122, 104091, 45829, 110135, 16144, 108631, 64121, 198, 109853, 33334, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 26955, 229, 50266, 122, 104091, 45829, 110135, 107118, 102780, 16144, 118124, 16144, 106759, 64467, 16144, 122382, 102831, 16144, 118124, 110366, 20230, 57903, 33541, 59459, 64780, 117039, 16144, 109657, 16995, 115412, 16556, 116310, 17129, 103468, 105494, 23954, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 16144, 106759, 64467, 16144, 118124, 16144, 108631, 64121, 15682, 26854, 112371, 125119, 30369, 104865, 31195, 198, 117039, 16144, 109657, 16995, 113692, 16144, 105494, 5486, 104091, 45829, 110135, 15682, 104091, 120950, 83799, 126198, 110135, 29295, 17, 102159, 57903, 33541, 9174, 51330, 104091, 45829, 110135, 16144, 41642, 112586, 119049, 107079, 71289, 101921, 109, 29295, 43167, 17129, 76947, 108086, 5486, 119049, 107079, 71289, 101921, 109, 29295, 126120, 96455, 114652, 91875, 47884, 124122, 111983, 103129, 30512, 103792, 112973, 104091, 45829, 110135, 38641, 9174, 105564, 102334, 31431, 102149, 100472, 111842, 102780, 30512, 115064, 112, 31431, 121406, 110018, 20230, 5486, 102780, 16144, 118124, 16144, 119049, 107079, 10110, 102780, 104792, 119049, 119735, 126238, 105714, 39926, 104091, 45829, 110135, 102052, 73686, 42891, 105714, 110071, 48634, 29295, 21601, 116547, 33541, 9174, 51330, 17044, 121, 73686, 48634, 113468, 104091, 45829, 110135, 20230, 16937, 104873, 29295, 125119, 31431, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 16144, 106759, 64467, 16144, 118124, 16144, 108631, 64121, 30512, 102404, 39926, 103801, 61689, 9174, 53900, 5486, 21990, 123606, 59739, 50834, 32943, 110366, 16144, 104091, 45829, 110135, 29295, 17, 59739, 20230, 17620, 117068, 103792, 10110, 17620, 117068, 104091, 45829, 110135, 7705, 107803, 115991, 110371, 107803, 32977, 108631, 64121, 16144, 113385, 104856, 103836, 107803, 115991, 33541, 9174, 58426, 102717, 111201, 5486, 74090, 119870, 126843, 29295, 21105, 96, 107277, 103792, 102780, 16144, 104486, 29295, 126574, 10110, 126507, 39880, 113335, 7705, 102780, 30512, 103792, 17792, 20230, 43240, 47884, 91774, 110071, 101427, 122, 70141, 20230, 57903, 33541, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 16144, 106759, 64467, 16144, 118124, 30512, 102404, 54926, 104091, 45829, 110135, 16144, 16937, 104873, 30512, 102404, 21990, 39926, 114604, 107803, 5486, 108631, 64121, 29295, 104195, 16995, 126513, 117401, 30512, 105677, 82533, 15024, 5486, 102780, 16144, 118124, 112649, 117295, 127852, 107666, 71289, 109972, 106529, 30512, 117355, 114485, 54926, 113009, 115289, 33503, 121867, 72238, 103234, 16556, 103082, 100934, 80805, 105404, 30512, 26955, 229, 50266, 122, 79059, 16144, 105494, 30512, 47884, 31431, 113487, 47884, 104309, 39926, 107740, 54926, 123017, 103424, 117201, 109954, 9174, 102780, 16144, 118124, 10110, 102780, 104792, 119049, 7705, 20230, 110567, 30813, 29295, 64121, 110071, 126513, 5486, 102780, 16144, 118124, 16144, 115289, 122279, 34171, 30512, 108167, 114941, 17663, 124122, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 16073, 117824, 30297, 104466, 109768, 50834, 17129, 109954, 9174, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 113883, 106548, 24273, 29295, 78183, 124403, 126513, 32977, 43514, 85791, 116233, 29295, 5486, 114363, 103722, 46729, 111363, 50021, 111813, 15682, 27384, 102769, 26854, 100909, 38641, 9174, 114363, 103722, 46729, 111363, 50021, 111813, 32977, 112727, 110615, 104466, 103801, 109954, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 102397, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 15682, 102397, 103633, 31640, 23530, 106644, 111331, 50834, 55038, 110745, 34208, 101129, 110745, 34208, 101129, 17039, 101129, 5486, 81180, 109, 101129, 5486, 81180, 109, 101129, 102865, 30512, 15682, 100204, 62004, 103633, 105065, 23530, 5486, 106670, 106554, 23530, 5486, 108710, 78228, 102212, 23530, 105755, 121771, 115867, 24273, 20230, 37507, 94923, 39926, 115962, 102532, 108086, 33541, 9174, 33334, 111006, 16144, 13177, 108631, 64121, 59712, 16937, 104873, 59712, 109060, 123429, 117271, 59712, 109060, 123429, 117271, 50021, 111813, 10646, 104309, 67645, 16144, 103826, 26854, 30926, 72661, 106391, 16995, 107515, 9174, 165, 104247, 9458, 110135, 114457, 100543, 107, 37656, 9458, 124011, 109089, 122692, 16937, 104873, 9458, 109060, 123429, 117271, 198, 37271, 18904, 15682, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 104792, 16144, 108631, 64121, 198, 102780, 104792, 119049, 115716, 16144, 108631, 64121, 116806, 113335, 16144, 16937, 104873, 198, 112073, 103826, 15682, 13177, 15355, 223, 50211, 102780, 10110, 102416, 25827, 2243, 118, 16995, 27929, 47884, 7705, 10646, 102677, 112690, 30512, 104655, 102334, 105908, 57903, 33541, 32149, 95532, 114516, 16144, 102780, 15682, 198, 118075, 107429, 111, 16144, 30537, 20713, 50266, 122, 55031, 111930, 113, 10110, 32149, 32149, 19732, 7705, 112649, 107441, 11651, 110096, 110366, 39880, 113335, 198, 119560, 107429, 111, 16144, 30537, 44597, 50266, 122, 55031, 111930, 113, 10110, 32149, 32149, 19732, 7705, 112649, 107441, 11651, 106547, 110366, 39880, 113335, 198, 98115, 224, 107429, 111, 16144, 30537, 20713, 50266, 122, 55031, 30537, 44597, 50266, 122, 112169, 112649, 107441, 11651, 108425, 103, 39880, 113335, 198, 71689, 16144, 18, 118821, 39880, 113335, 103397, 16144, 103302, 101911, 30512, 33563, 103836, 118733, 127852, 107666, 30512, 107246, 110226, 54926, 105908, 125545, 9174, 15355, 223, 50211, 102780, 15682, 106116, 39880, 113335, 103397, 16144, 103302, 101911, 16144, 100604, 121894, 5486, 102780, 16144, 118124, 29295, 104328, 33503, 106956, 121894, 16556, 5486, 74090, 119870, 126843, 29295, 102717, 19732, 124592, 100604, 121894, 16144, 102780, 16144, 106592, 78244, 61689, 9174, 112073, 103826, 15682, 13177, 126507, 39880, 113335, 66383, 95604, 112690, 32977, 104655, 102334, 105908, 57903, 33541, 32149, 95532, 126507, 39880, 113335, 107118, 15355, 223, 50211, 102780, 107118, 116900, 16556, 39880, 113335, 103397, 16144, 103302, 101911, 29295, 126574, 102944, 30512, 16995, 61689, 9174, 64780, 108072, 25197, 39880, 113335, 16144, 116537, 13177, 102780, 50266, 122, 30512, 95543, 117063, 30369, 23706, 244, 10110, 64467, 109415, 102780, 7705, 10646, 124911, 20230, 43240, 47884, 91774, 102204, 33541, 9174, 102780, 104792, 119049, 115716, 15682, 111930, 113, 16144, 110135, 10110, 111930, 113, 110135, 7705, 55031, 20, 22656, 16144, 102780, 50266, 122, 16144, 122382, 102831, 10110, 16325, 102780, 110135, 7705, 103296, 15355, 229, 103397, 20230, 108285, 29295, 30369, 116213, 16995, 115716, 103397, 16144, 119049, 107079, 38641, 9174, 102780, 104792, 119049, 115716, 16144, 122502, 50834, 103306, 13177, 112959, 50834, 109415, 101513, 106391, 66383, 95604, 102944, 115991, 33541, 9174, 112959, 50834, 109415, 101513, 106391, 107118, 5486, 102780, 16144, 64467, 30512, 95543, 117063, 30369, 10110, 105068, 23602, 230, 7705, 107726, 104533, 102780, 104792, 119049, 115716, 29295, 112959, 50834, 109415, 102204, 74090, 119870, 126843, 16144, 39880, 113335, 29295, 110794, 115442, 30369, 106592, 78244, 61689, 9174, 51330, 122502, 50834, 113468, 102780, 34048, 30512, 51385, 23187, 107726, 5486, 100815, 30590, 125344, 127852, 107666, 107246, 110226, 19732, 115064, 112, 31431, 121216, 125344, 84851, 103130, 123457, 21990, 64121, 20834, 78434, 9174, 59739, 109709, 115132, 113335, 29295, 17297, 29295, 31431, 74090, 119870, 126843, 29295, 123733, 76947, 114732, 19732, 5486, 17905, 61304, 13177, 112959, 50834, 109415, 101513, 106391, 10646, 29295, 30297, 17129, 47884, 122502, 32149, 123733, 31431, 5486, 127852, 107666, 107246, 110226, 19732, 115064, 112, 31431, 121216, 60868, 121057, 29295, 103082, 123733, 31431, 33541, 9174, 58426, 113702, 5486, 102780, 104792, 119049, 115716, 20230, 27384, 112495, 71634, 108744, 29295, 32149, 126469, 103801, 16995, 16937, 104873, 29295, 125119, 76947, 114732, 19732, 113727, 124195, 61689, 9174, 53900, 115132, 113335, 29295, 17297, 29295, 76947, 114732, 127177, 113385, 103306, 13177, 109503, 110135, 17297, 97518, 107792, 10110, 50834, 103701, 22957, 59739, 32149, 32149, 25827, 72342, 59739, 120732, 103188, 18904, 32943, 10110, 32149, 121867, 100604, 7705, 10646, 29295, 123680, 102639, 102204, 33541, 9174, 109503, 110135, 17297, 97518, 107792, 16144, 103188, 18904, 32943, 30512, 112825, 110904, 20230, 122984, 112990, 111930, 113, 16144, 110135, 10110, 111930, 113, 110135, 7705, 29295, 32943, 110366, 20230, 105987, 104028, 102321, 47523, 38641, 9174, 51330, 109503, 110135, 17297, 97518, 107792, 16144, 103188, 18904, 32943, 29295, 125119, 30369, 118733, 39880, 113335, 29295, 17297, 29295, 76947, 103801, 61689, 9174, 102677, 109335, 5486, 61826, 108680, 33334, 87177, 107726, 100481, 90620, 102334, 104466, 5486, 102780, 34048, 16144, 51385, 23187, 30512, 109205, 69978, 54926, 105908, 103082 ]
[ 101860, 102780, 104792, 119049, 115716, 20230, 71634, 108744, 29295, 32149, 107277, 16937, 104873, 30512, 125119, 39926, 114732, 30926, 121711, 33541, 9174, 126507, 39880, 113335, 15682, 24186, 104680, 39880, 113335, 29295, 126574, 17620, 110371, 103188, 18904, 32943, 30512, 125119, 15024, 126172, 16995, 121894, 107173, 113727, 102204, 33541, 9174, 51330, 105933, 71634, 108744, 104865, 107277, 24273, 123410, 118733, 5486, 102780, 104792, 119049, 115716, 20230, 50034, 104398, 26854, 64889, 117068, 30512, 125119, 15024, 108631, 64121, 30512, 102404, 54926, 31195, 198, 113702, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 104792, 16144, 108631, 64121, 30512, 102404, 54926, 102780, 104792, 119049, 115716, 16144, 108631, 64121, 30512, 113801, 125119, 39926, 114732, 100909, 121711, 5486, 107803, 113468, 15682, 5486, 111930, 113, 16144, 110135, 10110, 111930, 113, 110135, 7705, 20230, 110135, 77062, 246, 10110, 22957, 59739, 50834, 103701, 47884, 7705, 102677, 110135, 29295, 13177, 19732, 102639, 103397, 10646, 117158, 42891, 105714, 76947, 114732, 30926, 32977, 57903, 33541, 9174, 53900, 115132, 113335, 16144, 109189, 20230, 122502, 47884, 119049, 107079, 103306, 13177, 74482, 101171, 249, 110135, 119049, 66383, 95604, 17297, 122072, 34048, 10110, 105104, 126910, 15682, 105557, 7705, 117083, 119049, 107079, 115991, 33541, 9174, 74482, 101171, 249, 110135, 119049, 15682, 39880, 113335, 103302, 101911, 120938, 34048, 16144, 110135, 10110, 63105, 253, 103397, 110135, 7705, 109853, 108086, 5486, 109503, 110135, 17297, 97518, 107792, 16144, 103188, 18904, 32943, 71289, 115132, 113335, 16144, 15355, 223, 50211, 33208, 29295, 125119, 104533, 74482, 101171, 249, 110135, 119049, 29295, 110137, 105714, 84389, 5486, 17663, 101832, 16144, 108631, 64121, 71289, 102780, 16144, 108631, 64121, 9458, 102780, 61075, 16144, 108631, 64121, 104309, 102780, 104792, 119049, 115716, 16144, 108631, 64121, 116749, 16144, 93488, 78683, 94550, 122692, 16937, 104873, 30512, 125119, 17663, 113385, 105352, 26854, 31431, 33541, 9174, 51330, 105933, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 30512, 125119, 30813, 100604, 113009, 9080, 119400, 55031, 71634, 44971, 108981, 71289, 20251, 44971, 118928, 94550, 10110, 47307, 90962, 33710, 30512, 102780, 16144, 64467, 16556, 113801, 108385, 122101, 47307, 90962, 33710, 104603, 68581, 119534, 7705, 104309, 30512, 21105, 96, 107277, 23039, 76947, 72315, 9174, 53900, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 104792, 16144, 108631, 64121, 125334, 38144, 114604, 126513, 5486, 115541, 108710, 44915, 16144, 91774, 74245, 15024, 71289, 76171, 102741, 64178, 30512, 111800, 118219, 54926, 104309, 5486, 102923, 103991, 41007, 30512, 96412, 62004, 114363, 103722, 46729, 20230, 50021, 111813, 103801, 109954, 9174, 25580, 18904, 5486, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 100909, 109853, 33334, 87177, 107726, 100481, 90620, 50834, 79721, 29295, 115515, 18904, 15682, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 16144, 31809, 64467, 110366, 13177, 30537, 44597, 16325, 102780, 110135, 10646, 20230, 125119, 30369, 102944, 109853, 33334, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 30537, 44597, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 102944, 15682, 60868, 125135, 5486, 118809, 113821, 103672, 64178, 5486, 119539, 127020, 104309, 72238, 103856, 16995, 91875, 50834, 30512, 103721, 108, 31431, 104196, 39926, 23039, 30297, 124011, 109089, 16144, 114300, 83301, 115350, 20230, 43240, 47884, 102404, 21990, 78434, 9174, 51330, 30537, 44597, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 102944, 15682, 111108, 71005, 34171, 19732, 117952, 106824, 61689, 9174, 127814, 8239, 112, 112212, 108881, 104028, 102944, 15682, 110135, 111363, 117355, 16995, 127852, 107666, 104309, 29295, 103721, 108, 31431, 104196, 15024, 21601, 78183, 30369, 118733, 5486, 110135, 111363, 117355, 16995, 99959, 126989, 29295, 105623, 226, 108882, 15024, 5486, 21990, 100204, 30369, 102944, 38641, 59459, 64780, 90962, 112164, 25005, 99, 61398, 10110, 33655, 114774, 17663, 16995, 7705, 38641, 1811, 23954, 13393, 251, 35330, 30512, 99849, 27479, 32977, 103302, 102639, 110137, 81219, 15024, 109768, 104533, 5486, 108881, 106824, 114732, 102321, 47523, 19732, 112361, 38641, 9174, 26854, 112371, 5486, 111108, 71005, 34171, 26854, 104865, 102677, 19732, 112160, 27479, 110135, 29295, 71005, 114598, 124011, 109089, 30512, 88356, 87447, 54926, 118733, 5486, 17905, 61304, 61304, 107121, 44915, 119775, 5486, 127814, 8239, 112, 112212, 125119, 56051, 112361, 109972, 111600, 29295, 103721, 108, 31431, 104196, 67016, 107277, 5486, 88356, 102404, 39926, 114732, 55031, 38641, 9174, 127814, 8239, 112, 29295, 105623, 226, 108882, 54926, 31634, 63212, 30512, 108167, 21418, 126660, 16556, 124011, 109089, 30512, 88356, 87447, 39926, 114732, 19732, 104405, 109020, 123253, 31195, 198, 88356, 102404, 39926, 114732, 105184, 96455, 29295, 45736, 47884, 109020, 104468, 33334, 78183, 107277, 101983, 104533, 91763, 61689, 9174, 51330, 105933, 117501, 29295, 111108, 71005, 34171, 102677, 100909, 107294, 105722, 30369, 105879, 109954, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 30537, 44597, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 109335, 88852, 16144, 106592, 104611, 103892, 20230, 22324, 50834, 5486, 103911, 103181, 108608, 104466, 64209, 29295, 76622, 17129, 109954, 9174, 118075, 125283, 21990, 112997, 29220, 30512, 113954, 54926, 59459, 115350, 9458, 122013, 9458, 64467, 106839, 112919, 113954, 29295, 109215, 1811, 23954, 119560, 102362, 49792, 122373, 113245, 20251, 44971, 118928, 94550, 20230, 61633, 9458, 52884, 44971, 65575, 117809, 16144, 22398, 80805, 125596, 20230, 61633, 54926, 9174, 98115, 224, 116201, 112, 108710, 39850, 78683, 109496, 111848, 107271, 106240, 16144, 33655, 16995, 17620, 76622, 59459, 72238, 102149, 31431, 77181, 93488, 78683, 94550, 107271, 106240, 30512, 38129, 54926, 1811, 23954, 98115, 225, 122163, 116388, 9458, 102478, 97518, 107792, 41642, 116310, 119049, 10110, 66378, 20230, 102478, 97518, 107792, 48915, 108436, 120732, 104195, 33208, 9458, 48915, 110366, 111600, 30358, 16144, 34226, 37656, 9174, 49412, 97, 117917, 249, 64121, 125334, 127567, 31195, 11651, 124928, 250, 112984, 9458, 107271, 106240, 122489, 9458, 76171, 102741, 64178, 38129, 198, 21105, 97, 22957, 16995, 117840, 29295, 5486, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 30537, 44597, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 102944, 15682, 111108, 71005, 34171, 38641, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 71289, 102780, 16144, 48915, 110366, 16144, 108631, 64121, 10110, 31809, 64467, 110366, 7705, 125334, 28713, 107803, 104662, 39926, 43568, 22649, 30512, 39926, 112987, 76622, 107515, 9174, 103911, 103181, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 5486, 59614, 101860, 114363, 103722, 46729, 102416, 50021, 111813, 103801, 109954, 9174, 165, 104247, 101511, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 110335, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 17297, 65316, 9174, 37271, 18904, 15682, 93488, 78683, 94550, 71289, 106901, 108969, 91875, 19967, 117824, 30297, 124011, 109089, 30512, 110731, 24273, 20230, 127181, 13177, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 111329, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 100909, 198, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 109335, 93488, 78683, 94550, 71289, 106901, 108969, 91875, 19967, 111848, 127852, 107666, 104309, 33014, 30358, 109972, 111600, 29295, 101544, 82973, 102780, 16144, 39880, 113335, 20230, 103721, 108, 31431, 104196, 15024, 21601, 78183, 30369, 118733, 125119, 30369, 124011, 109089, 122692, 16937, 104873, 16144, 20713, 59739, 38641, 9174, 15120, 78244, 16556, 16995, 116285, 198, 13177, 90962, 112164, 25005, 99, 61398, 10110, 33655, 16995, 103188, 105557, 111571, 103550, 104336, 7705, 111329, 38641, 9174, 125119, 15024, 126172, 16995, 124011, 109089, 15682, 198, 60868, 125135, 198, 119539, 127020, 198, 66953, 44971, 125024, 64178, 198, 111059, 17905, 114300, 83301, 10110, 101544, 124349, 114300, 83301, 7705, 9458, 68759, 32131, 118901, 198, 118809, 113821, 103672, 64178, 198, 119063, 45893, 198, 102212, 79059, 198, 104309, 31195, 198, 107420, 124011, 109089, 115350, 109860, 27384, 121313, 102677, 109335, 103470, 5486, 20251, 103830, 44971, 102832, 114615, 115350, 55031, 108936, 114300, 83301, 30046, 103296, 102404, 21990, 54926, 125396, 115991, 33541, 9174, 125119, 31431, 126172, 16995, 116245, 5486, 53901, 102404, 34048, 25129, 15682, 198, 118075, 51431, 34617, 16325, 102780, 110135, 198, 158, 241, 114, 51431, 25963, 16325, 102780, 110135, 198, 98115, 224, 51431, 46702, 16325, 102780, 110135, 198, 98115, 225, 51431, 44597, 16325, 102780, 110135, 198, 16144, 110480, 16556, 125119, 31431, 126172, 47884, 5486, 30537, 20713, 16325, 102780, 110135, 20230, 125119, 30369, 104468, 13177, 123606, 10646, 38641, 9174, 17905, 61304, 98115, 225, 16144, 13177, 30537, 44597, 16325, 102780, 110135, 16144, 127814, 8239, 112, 112212, 108881, 104028, 100909, 10646, 15682, 111108, 71005, 34171, 16144, 107803, 115991, 33541, 9174, 64780, 51431, 44597, 16325, 102780, 110135, 16144, 127814, 8239, 112, 112212, 108881, 104028, 100909, 109853, 15682, 33671, 18904, 23897, 104989, 107898, 87177, 15024, 103082, 127567, 106046, 61689, 9174, 64121, 110071, 16937, 104873, 15682, 5486, 104195, 16995, 48915, 48634, 71289, 31958, 33503, 107188, 48915, 114218, 29295, 103470, 5486, 102780, 16144, 104486, 20230, 108631, 64121, 10110, 102780, 105068, 34048, 20230, 108631, 64121, 7705, 30512, 102404, 78434, 9174, 53900, 5486, 102780, 9458, 102780, 16144, 104486, 20230, 101921, 104, 101171, 117, 10110, 15682, 33121, 7705, 71289, 107969, 99750, 29295, 125119, 31431, 33541, 9174, 80673, 110371, 105933, 102780, 16144, 108631, 64121, 71289, 102780, 16144, 104486, 16144, 108631, 64121, 123160, 16937, 104873, 29295, 102404, 21990, 120837, 102404, 21990, 74245, 74482, 127303, 104984, 5486, 44971, 52414, 105621, 16073, 111800, 112984, 30512, 120837, 108901, 40053, 30512, 104736, 62004, 100604, 107803, 115991, 5486, 16, 21909, 17, 111299, 56965, 123090, 88356, 27479, 44971, 52414, 105621, 16073, 111800, 112984, 117824, 30297, 118733, 108901, 40053, 32938, 91774, 29295, 91774, 59739, 117295, 107803, 29295, 127181, 38641, 9174, 110241, 5486, 104195, 16995, 48915, 48634, 29295, 21601, 78183, 100472, 104309, 31958, 33503, 107188, 48915, 114218, 29295, 103470, 5486, 101734, 120, 108631, 5486, 101921, 104, 101171, 117, 10110, 15682, 33121, 65459, 107969, 99750, 104309, 29295, 102780, 16144, 104486, 20230, 64121, 109115, 33503, 5486, 93488, 78683, 94550, 123160, 111600, 30358, 20251, 44971, 118928, 94550, 15682, 16325, 82533, 15024, 5486, 16144, 108631, 104004, 105494, 20230, 111090, 57207, 94550, 117824, 30297, 123160, 117120, 22324, 117824, 16995, 17129, 109954, 9174, 53900, 5486, 105564, 23039, 126101, 108631, 64121, 29295, 104195, 47884, 64121, 110071, 126513, 104500, 105065, 14276, 244, 124905, 30297, 104309, 103048, 111600, 30512, 64209, 29295, 76622, 104533, 103424, 117201, 109954, 9174, 102404, 21990, 39926, 114604, 107803, 5486, 115541, 108710, 104309, 30512, 16, 111299, 56965, 113314, 105677, 104004, 19732, 108631, 64121, 29295, 117355, 114485, 54926, 105908, 57903, 33541, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 29295, 117355, 114485, 56051, 100909, 38641, 104699, 109095, 112454, 112990, 59614, 101860, 19732, 119852, 57980, 16995, 108680, 88356, 102404, 54926, 125396, 29295, 126574, 38641, 9174, 51330, 105933, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 104468, 122225, 29295, 111108, 102800, 102663, 102472, 38641, 9174, 59614, 101860, 114363, 103722, 46729, 16144, 122225, 30512, 121755, 104699, 104466, 103801, 109954, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 9458, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 110335, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 17297, 65316, 9174, 37271, 18904, 15682, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 112028, 59739, 16556, 5486, 48915, 110366, 16144, 108631, 64121, 71289, 102780, 61075, 16144, 48915, 110366, 16144, 108631, 64121, 5486, 48915, 109749, 104369, 119432, 108631, 64121, 30512, 102404, 54926, 198, 101921, 241, 110135, 119049, 101921, 109, 16144, 108631, 64121, 198, 101921, 241, 110135, 119049, 101921, 109, 16144, 108631, 64121, 31195, 198, 85701, 53900, 104655, 112495, 110615, 112690, 32149, 110241, 33121, 107515, 101832, 31195, 198, 101921, 241, 110135, 119049, 15682, 116414, 117083, 32149, 31195, 198, 119869, 20230, 108631, 104004, 116245, 30512, 61304, 107121, 56051, 105879, 99849, 19732, 103470, 33334, 95221, 114308, 32149, 110241, 33121, 107515, 29295, 5486, 101921, 241, 110135, 119049, 15682, 101921, 241, 110135, 102083, 126832, 13177, 22398, 102750, 10110, 101171, 249, 110135, 120732, 48915, 110366, 117083, 104398, 16995, 110135, 117503, 48915, 110366, 117083, 119049, 107079, 30512, 16995, 61689, 9174, 58426, 119049, 107079, 10110, 101921, 241, 110135, 119049, 119735, 102780, 61075, 16144, 118881, 121254, 121867, 48915, 28873, 10110, 48915, 109749, 104369, 15024, 120732, 74482, 24273, 30512, 33035, 76947, 102780, 16144, 48915, 110366, 10110, 31809, 64467, 110366, 7705, 121254, 126469, 102149, 23039, 127145, 9174, 101921, 241, 110135, 119049, 101921, 109, 15682, 101921, 241, 110135, 119049, 29295, 102780 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101860, 102780, 104792, 119049, 115716, 20230, 71634, 108744, 29295, 32149, 107277, 16937, 104873, 30512, 125119, 39926, 114732, 30926, 121711, 33541, 9174, 126507, 39880, 113335, 15682, 24186, 104680, 39880, 113335, 29295, 126574, 17620, 110371, 103188, 18904, 32943, 30512, 125119, 15024, 126172, 16995, 121894, 107173, 113727, 102204, 33541, 9174, 51330, 105933, 71634, 108744, 104865, 107277, 24273, 123410, 118733, 5486, 102780, 104792, 119049, 115716, 20230, 50034, 104398, 26854, 64889, 117068, 30512, 125119, 15024, 108631, 64121, 30512, 102404, 54926, 31195, 198, 113702, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 104792, 16144, 108631, 64121, 30512, 102404, 54926, 102780, 104792, 119049, 115716, 16144, 108631, 64121, 30512, 113801, 125119, 39926, 114732, 100909, 121711, 5486, 107803, 113468, 15682, 5486, 111930, 113, 16144, 110135, 10110, 111930, 113, 110135, 7705, 20230, 110135, 77062, 246, 10110, 22957, 59739, 50834, 103701, 47884, 7705, 102677, 110135, 29295, 13177, 19732, 102639, 103397, 10646, 117158, 42891, 105714, 76947, 114732, 30926, 32977, 57903, 33541, 9174, 53900, 115132, 113335, 16144, 109189, 20230, 122502, 47884, 119049, 107079, 103306, 13177, 74482, 101171, 249, 110135, 119049, 66383, 95604, 17297, 122072, 34048, 10110, 105104, 126910, 15682, 105557, 7705, 117083, 119049, 107079, 115991, 33541, 9174, 74482, 101171, 249, 110135, 119049, 15682, 39880, 113335, 103302, 101911, 120938, 34048, 16144, 110135, 10110, 63105, 253, 103397, 110135, 7705, 109853, 108086, 5486, 109503, 110135, 17297, 97518, 107792, 16144, 103188, 18904, 32943, 71289, 115132, 113335, 16144, 15355, 223, 50211, 33208, 29295, 125119, 104533, 74482, 101171, 249, 110135, 119049, 29295, 110137, 105714, 84389, 5486, 17663, 101832, 16144, 108631, 64121, 71289, 102780, 16144, 108631, 64121, 9458, 102780, 61075, 16144, 108631, 64121, 104309, 102780, 104792, 119049, 115716, 16144, 108631, 64121, 116749, 16144, 93488, 78683, 94550, 122692, 16937, 104873, 30512, 125119, 17663, 113385, 105352, 26854, 31431, 33541, 9174, 51330, 105933, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 30512, 125119, 30813, 100604, 113009, 9080, 119400, 55031, 71634, 44971, 108981, 71289, 20251, 44971, 118928, 94550, 10110, 47307, 90962, 33710, 30512, 102780, 16144, 64467, 16556, 113801, 108385, 122101, 47307, 90962, 33710, 104603, 68581, 119534, 7705, 104309, 30512, 21105, 96, 107277, 23039, 76947, 72315, 9174, 53900, 5486, 102780, 16144, 118124, 16144, 108631, 64121, 9458, 102780, 104792, 16144, 108631, 64121, 125334, 38144, 114604, 126513, 5486, 115541, 108710, 44915, 16144, 91774, 74245, 15024, 71289, 76171, 102741, 64178, 30512, 111800, 118219, 54926, 104309, 5486, 102923, 103991, 41007, 30512, 96412, 62004, 114363, 103722, 46729, 20230, 50021, 111813, 103801, 109954, 9174, 25580, 18904, 5486, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 100909, 109853, 33334, 87177, 107726, 100481, 90620, 50834, 79721, 29295, 115515, 18904, 15682, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 16144, 31809, 64467, 110366, 13177, 30537, 44597, 16325, 102780, 110135, 10646, 20230, 125119, 30369, 102944, 109853, 33334, 87177, 107726, 100481, 90620, 50834, 33541, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 30537, 44597, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 102944, 15682, 60868, 125135, 5486, 118809, 113821, 103672, 64178, 5486, 119539, 127020, 104309, 72238, 103856, 16995, 91875, 50834, 30512, 103721, 108, 31431, 104196, 39926, 23039, 30297, 124011, 109089, 16144, 114300, 83301, 115350, 20230, 43240, 47884, 102404, 21990, 78434, 9174, 51330, 30537, 44597, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 102944, 15682, 111108, 71005, 34171, 19732, 117952, 106824, 61689, 9174, 127814, 8239, 112, 112212, 108881, 104028, 102944, 15682, 110135, 111363, 117355, 16995, 127852, 107666, 104309, 29295, 103721, 108, 31431, 104196, 15024, 21601, 78183, 30369, 118733, 5486, 110135, 111363, 117355, 16995, 99959, 126989, 29295, 105623, 226, 108882, 15024, 5486, 21990, 100204, 30369, 102944, 38641, 59459, 64780, 90962, 112164, 25005, 99, 61398, 10110, 33655, 114774, 17663, 16995, 7705, 38641, 1811, 23954, 13393, 251, 35330, 30512, 99849, 27479, 32977, 103302, 102639, 110137, 81219, 15024, 109768, 104533, 5486, 108881, 106824, 114732, 102321, 47523, 19732, 112361, 38641, 9174, 26854, 112371, 5486, 111108, 71005, 34171, 26854, 104865, 102677, 19732, 112160, 27479, 110135, 29295, 71005, 114598, 124011, 109089, 30512, 88356, 87447, 54926, 118733, 5486, 17905, 61304, 61304, 107121, 44915, 119775, 5486, 127814, 8239, 112, 112212, 125119, 56051, 112361, 109972, 111600, 29295, 103721, 108, 31431, 104196, 67016, 107277, 5486, 88356, 102404, 39926, 114732, 55031, 38641, 9174, 127814, 8239, 112, 29295, 105623, 226, 108882, 54926, 31634, 63212, 30512, 108167, 21418, 126660, 16556, 124011, 109089, 30512, 88356, 87447, 39926, 114732, 19732, 104405, 109020, 123253, 31195, 198, 88356, 102404, 39926, 114732, 105184, 96455, 29295, 45736, 47884, 109020, 104468, 33334, 78183, 107277, 101983, 104533, 91763, 61689, 9174, 51330, 105933, 117501, 29295, 111108, 71005, 34171, 102677, 100909, 107294, 105722, 30369, 105879, 109954, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 30537, 44597, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 109335, 88852, 16144, 106592, 104611, 103892, 20230, 22324, 50834, 5486, 103911, 103181, 108608, 104466, 64209, 29295, 76622, 17129, 109954, 9174, 118075, 125283, 21990, 112997, 29220, 30512, 113954, 54926, 59459, 115350, 9458, 122013, 9458, 64467, 106839, 112919, 113954, 29295, 109215, 1811, 23954, 119560, 102362, 49792, 122373, 113245, 20251, 44971, 118928, 94550, 20230, 61633, 9458, 52884, 44971, 65575, 117809, 16144, 22398, 80805, 125596, 20230, 61633, 54926, 9174, 98115, 224, 116201, 112, 108710, 39850, 78683, 109496, 111848, 107271, 106240, 16144, 33655, 16995, 17620, 76622, 59459, 72238, 102149, 31431, 77181, 93488, 78683, 94550, 107271, 106240, 30512, 38129, 54926, 1811, 23954, 98115, 225, 122163, 116388, 9458, 102478, 97518, 107792, 41642, 116310, 119049, 10110, 66378, 20230, 102478, 97518, 107792, 48915, 108436, 120732, 104195, 33208, 9458, 48915, 110366, 111600, 30358, 16144, 34226, 37656, 9174, 49412, 97, 117917, 249, 64121, 125334, 127567, 31195, 11651, 124928, 250, 112984, 9458, 107271, 106240, 122489, 9458, 76171, 102741, 64178, 38129, 198, 21105, 97, 22957, 16995, 117840, 29295, 5486, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 30537, 44597, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 102944, 15682, 111108, 71005, 34171, 38641, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 71289, 102780, 16144, 48915, 110366, 16144, 108631, 64121, 10110, 31809, 64467, 110366, 7705, 125334, 28713, 107803, 104662, 39926, 43568, 22649, 30512, 39926, 112987, 76622, 107515, 9174, 103911, 103181, 15682, 32977, 43514, 85791, 25827, 16144, 100909, 5486, 59614, 101860, 114363, 103722, 46729, 102416, 50021, 111813, 103801, 109954, 9174, 165, 104247, 101511, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 16144, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 110335, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 17297, 65316, 9174, 37271, 18904, 15682, 93488, 78683, 94550, 71289, 106901, 108969, 91875, 19967, 117824, 30297, 124011, 109089, 30512, 110731, 24273, 20230, 127181, 13177, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 111329, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 100909, 198, 16325, 102780, 110135, 29295, 127814, 8239, 112, 112212, 108881, 104028, 109335, 93488, 78683, 94550, 71289, 106901, 108969, 91875, 19967, 111848, 127852, 107666, 104309, 33014, 30358, 109972, 111600, 29295, 101544, 82973, 102780, 16144, 39880, 113335, 20230, 103721, 108, 31431, 104196, 15024, 21601, 78183, 30369, 118733, 125119, 30369, 124011, 109089, 122692, 16937, 104873, 16144, 20713, 59739, 38641, 9174, 15120, 78244, 16556, 16995, 116285, 198, 13177, 90962, 112164, 25005, 99, 61398, 10110, 33655, 16995, 103188, 105557, 111571, 103550, 104336, 7705, 111329, 38641, 9174, 125119, 15024, 126172, 16995, 124011, 109089, 15682, 198, 60868, 125135, 198, 119539, 127020, 198, 66953, 44971, 125024, 64178, 198, 111059, 17905, 114300, 83301, 10110, 101544, 124349, 114300, 83301, 7705, 9458, 68759, 32131, 118901, 198, 118809, 113821, 103672, 64178, 198, 119063, 45893, 198, 102212, 79059, 198, 104309, 31195, 198, 107420, 124011, 109089, 115350, 109860, 27384, 121313, 102677, 109335, 103470, 5486, 20251, 103830, 44971, 102832, 114615, 115350, 55031, 108936, 114300, 83301, 30046, 103296, 102404, 21990, 54926, 125396, 115991, 33541, 9174, 125119, 31431, 126172, 16995, 116245, 5486, 53901, 102404, 34048, 25129, 15682, 198, 118075, 51431, 34617, 16325, 102780, 110135, 198, 158, 241, 114, 51431, 25963, 16325, 102780, 110135, 198, 98115, 224, 51431, 46702, 16325, 102780, 110135, 198, 98115, 225, 51431, 44597, 16325, 102780, 110135, 198, 16144, 110480, 16556, 125119, 31431, 126172, 47884, 5486, 30537, 20713, 16325, 102780, 110135, 20230, 125119, 30369, 104468, 13177, 123606, 10646, 38641, 9174, 17905, 61304, 98115, 225, 16144, 13177, 30537, 44597, 16325, 102780, 110135, 16144, 127814, 8239, 112, 112212, 108881, 104028, 100909, 10646, 15682, 111108, 71005, 34171, 16144, 107803, 115991, 33541, 9174, 64780, 51431, 44597, 16325, 102780, 110135, 16144, 127814, 8239, 112, 112212, 108881, 104028, 100909, 109853, 15682, 33671, 18904, 23897, 104989, 107898, 87177, 15024, 103082, 127567, 106046, 61689, 9174, 64121, 110071, 16937, 104873, 15682, 5486, 104195, 16995, 48915, 48634, 71289, 31958, 33503, 107188, 48915, 114218, 29295, 103470, 5486, 102780, 16144, 104486, 20230, 108631, 64121, 10110, 102780, 105068, 34048, 20230, 108631, 64121, 7705, 30512, 102404, 78434, 9174, 53900, 5486, 102780, 9458, 102780, 16144, 104486, 20230, 101921, 104, 101171, 117, 10110, 15682, 33121, 7705, 71289, 107969, 99750, 29295, 125119, 31431, 33541, 9174, 80673, 110371, 105933, 102780, 16144, 108631, 64121, 71289, 102780, 16144, 104486, 16144, 108631, 64121, 123160, 16937, 104873, 29295, 102404, 21990, 120837, 102404, 21990, 74245, 74482, 127303, 104984, 5486, 44971, 52414, 105621, 16073, 111800, 112984, 30512, 120837, 108901, 40053, 30512, 104736, 62004, 100604, 107803, 115991, 5486, 16, 21909, 17, 111299, 56965, 123090, 88356, 27479, 44971, 52414, 105621, 16073, 111800, 112984, 117824, 30297, 118733, 108901, 40053, 32938, 91774, 29295, 91774, 59739, 117295, 107803, 29295, 127181, 38641, 9174, 110241, 5486, 104195, 16995, 48915, 48634, 29295, 21601, 78183, 100472, 104309, 31958, 33503, 107188, 48915, 114218, 29295, 103470, 5486, 101734, 120, 108631, 5486, 101921, 104, 101171, 117, 10110, 15682, 33121, 65459, 107969, 99750, 104309, 29295, 102780, 16144, 104486, 20230, 64121, 109115, 33503, 5486, 93488, 78683, 94550, 123160, 111600, 30358, 20251, 44971, 118928, 94550, 15682, 16325, 82533, 15024, 5486, 16144, 108631, 104004, 105494, 20230, 111090, 57207, 94550, 117824, 30297, 123160, 117120, 22324, 117824, 16995, 17129, 109954, 9174, 53900, 5486, 105564, 23039, 126101, 108631, 64121, 29295, 104195, 47884, 64121, 110071, 126513, 104500, 105065, 14276, 244, 124905, 30297, 104309, 103048, 111600, 30512, 64209, 29295, 76622, 104533, 103424, 117201, 109954, 9174, 102404, 21990, 39926, 114604, 107803, 5486, 115541, 108710, 104309, 30512, 16, 111299, 56965, 113314, 105677, 104004, 19732, 108631, 64121, 29295, 117355, 114485, 54926, 105908, 57903, 33541, 9174, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 29295, 117355, 114485, 56051, 100909, 38641, 104699, 109095, 112454, 112990, 59614, 101860, 19732, 119852, 57980, 16995, 108680, 88356, 102404, 54926, 125396, 29295, 126574, 38641, 9174, 51330, 105933, 102780, 16144, 108631, 64121, 9458, 102780, 16144, 104486, 16144, 108631, 64121, 30512, 102404, 54926, 104468, 122225, 29295, 111108, 102800, 102663, 102472, 38641, 9174, 59614, 101860, 114363, 103722, 46729, 16144, 122225, 30512, 121755, 104699, 104466, 103801, 109954, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 5486, 109060, 123429, 9458, 104004, 43514, 117591, 5486, 124011, 109089, 122692, 16937, 104873, 5486, 61075, 16144, 108631, 64121, 5486, 114948, 16144, 22957, 31431, 5486, 115519, 16144, 108631, 64121, 16144, 102923, 103991, 16144, 110335, 103633, 31640, 23530, 9458, 102397, 103633, 31640, 109432, 103449, 9458, 47653, 13153, 27384, 34208, 101129, 103449, 9458, 28713, 32149, 15682, 15024, 165, 104247, 66285, 116, 64531, 110135, 94923, 103296, 33334, 95221, 117355, 20230, 48154, 50021, 111813, 17297, 65316, 9174, 37271, 18904, 15682, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 112028, 59739, 16556, 5486, 48915, 110366, 16144, 108631, 64121, 71289, 102780, 61075, 16144, 48915, 110366, 16144, 108631, 64121, 5486, 48915, 109749, 104369, 119432, 108631, 64121, 30512, 102404, 54926, 198, 101921, 241, 110135, 119049, 101921, 109, 16144, 108631, 64121, 198, 101921, 241, 110135, 119049, 101921, 109, 16144, 108631, 64121, 31195, 198, 85701, 53900, 104655, 112495, 110615, 112690, 32149, 110241, 33121, 107515, 101832, 31195, 198, 101921, 241, 110135, 119049, 15682, 116414, 117083, 32149, 31195, 198, 119869, 20230, 108631, 104004, 116245, 30512, 61304, 107121, 56051, 105879, 99849, 19732, 103470, 33334, 95221, 114308, 32149, 110241, 33121, 107515, 29295, 5486, 101921, 241, 110135, 119049, 15682, 101921, 241, 110135, 102083, 126832, 13177, 22398, 102750, 10110, 101171, 249, 110135, 120732, 48915, 110366, 117083, 104398, 16995, 110135, 117503, 48915, 110366, 117083, 119049, 107079, 30512, 16995, 61689, 9174, 58426, 119049, 107079, 10110, 101921, 241, 110135, 119049, 119735, 102780, 61075, 16144, 118881, 121254, 121867, 48915, 28873, 10110, 48915, 109749, 104369, 15024, 120732, 74482, 24273, 30512, 33035, 76947, 102780, 16144, 48915, 110366, 10110, 31809, 64467, 110366, 7705, 121254, 126469, 102149, 23039, 127145, 9174, 101921, 241, 110135, 119049, 101921, 109, 15682, 101921, 241, 110135, 119049, 29295, 102780 ]
[ 61075, 47000, 60358, 16556, 119049, 107079, 55031, 101921, 109, 20230, 104721, 116547, 106116, 101921, 109, 16144, 105494, 20230, 16937, 104873, 29295, 72718, 50834, 5486, 48915, 28873, 10110, 48915, 109749, 104369, 15024, 7705, 41642, 115195, 16144, 108631, 64121, 30512, 102404, 54926, 102944, 30512, 101921, 241, 110135, 119049, 16144, 108631, 64121, 102083, 61689, 9174, 113385, 103306, 15682, 5486, 102780, 16144, 48915, 110366, 113245, 100815, 30590, 56051, 31431, 5486, 30590, 28190, 30512, 115064, 112, 31431, 109415, 30369, 105933, 83799, 16556, 102780, 61075, 124905, 30297, 19732, 5486, 103188, 27479, 26854, 71634, 108744, 29295, 32149, 107277, 16937, 104873, 30512, 125119, 39926, 114732, 30926, 121711, 33541, 9174, 17663, 101832, 16144, 48915, 110366, 16144, 108631, 64121, 9458, 102780, 61075, 16144, 48915, 110366, 16144, 108631, 64121, 9458, 48915, 109749, 104369, 119432, 108631, 64121, 104309, 101921, 241, 110135, 119049, 101921, 109, 16144, 108631, 64121, 29295, 102404, 21990, 39926, 56965, 126758, 39177, 23538, 15682, 5486, 108631, 64121, 30512, 37046, 110020, 39926, 117401, 123410, 109335, 106084, 33541, 9174, 16937, 104873, 29295, 103130, 104127, 47884, 104533, 5486, 105564, 47884, 103378, 72661, 102334, 115737, 31431, 5486, 102149, 30369, 104309, 117401, 54926, 105908, 110482, 111108, 115717, 33541, 9174, 110241, 5486, 102780, 16144, 48915, 110366, 124905, 76947, 30358, 64209, 30512, 19732, 30369, 105933, 102780, 16144, 33655, 16995, 24273, 30512, 103792, 107803, 5486, 102780, 16144, 32943, 110366, 124905, 30297, 106592, 37689, 109375, 112990, 103424, 117201, 109954, 9174, 90620, 5486, 105564, 23039, 39177, 71289, 102149, 23039, 126101, 111930, 113, 10110, 32149, 32149, 19732, 120732, 48915, 110366, 55031, 100815, 30590, 54926, 109335, 109606, 124897, 9174, 30358, 64209, 16144, 127284, 15682, 111930, 113, 10110, 32149, 32149, 19732, 120732, 48915, 110366, 55031, 100815, 50834, 106116, 74482, 5486, 26955, 229, 50266, 122, 79059, 55031, 26955, 229, 50266, 122, 10110, 30537, 16, 50266, 122, 7705, 30512, 30358, 64209, 29295, 113487, 76622, 100481, 47884, 83799, 29295, 103424, 117201, 109954, 9174, 53900, 5486, 80195, 107462, 104533, 50834, 16144, 110783, 110095, 16556, 106759, 64467, 110366, 30512, 109415, 38144, 80195, 103836, 110783, 110095, 10110, 102780, 16144, 48915, 110366, 16556, 80195, 103836, 110783, 110095, 7705, 30512, 103792, 107803, 32977, 5486, 101921, 241, 110135, 119049, 9458, 101921, 241, 110135, 119049, 101921, 109, 20230, 71634, 108744, 29295, 32149, 107277, 16937, 104873, 30512, 125119, 39926, 114732, 30926, 32977, 57903, 33541, 9174, 110783, 110095, 20230, 95221, 30512, 47000, 105784, 104466, 39926, 72315, 9174, 17905, 61304, 44915, 16144, 102717, 111201, 5486, 93488, 78683, 94550, 71289, 105564, 23039, 125344, 100815, 30590, 16144, 127852, 107666, 29295, 106266, 102800, 19732, 13177, 101921, 241, 110135, 119049, 101921, 109, 10646, 20230, 109972, 106529, 29295, 32149, 107277, 33541, 9174, 93488, 78683, 94550, 108526, 103202, 104088, 74245, 15024, 5486, 76171, 102741, 64178, 16144, 107740, 71289, 29220, 26269, 104272, 34171, 16144, 126521, 107271, 106240, 30512, 102647, 102189, 111842, 5486, 100815, 30590, 30512, 22398, 91062, 106240, 117657, 106592, 37689, 109375, 54926, 118733, 5486, 127852, 107666, 30512, 71289, 78183, 33503, 32149, 47884, 54926, 115789, 27384, 102769, 26854, 120098, 117282, 123253, 9174, 53900, 5486, 101921, 241, 110135, 119049, 101921, 109, 16144, 108631, 64121, 10110, 17663, 101832, 16144, 48915, 110366, 16144, 108631, 64121, 9458, 102780, 61075, 16144, 48915, 110366, 16144, 108631, 64121, 9458, 48915, 109749, 104369, 119432, 108631, 64121, 7705, 30512, 102404, 21990, 39926, 114604, 107803, 5486, 114363, 103722, 46729, 16144, 102923, 103991, 15682, 32977, 43514, 85791, 25827, 5486, 71634, 44971, 108981, 71289, 118962, 124417, 117812, 124606, 117120, 22324, 104309, 48154, 116907, 16556, 106084, 30369, 64810, 122981, 39850, 108304, 96452, 107446, 30512, 21105, 96, 107277, 23039, 76947, 72315, 9174, 71689, 16144, 106592, 104611, 103892, 20230, 22324, 50834, 5486, 105843, 103350, 56051, 105465, 102800, 124011, 109089, 102803, 52591, 30512, 37705, 104028, 104466, 103801, 109954, 9174, 37271, 18904, 15682, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 20230, 48249, 121140, 9080, 40053, 104654, 72661, 125119, 31431, 126172, 16995, 107297, 37046, 198, 15017, 119, 30369, 100909, 112212, 125119, 30369, 107297, 37046, 198, 40265, 52884, 77750, 16556, 110382, 99849, 18904, 111201, 78183, 115926, 13177, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 10646, 109853, 33334, 87177, 107726, 100481, 90620, 16995, 101732, 44915, 16556, 5486, 104655, 112495, 110615, 112690, 29295, 43240, 102518, 32149, 110241, 33121, 107515, 29295, 13177, 15017, 119, 76947, 107297, 37046, 123410, 10646, 15682, 104655, 112495, 115032, 16144, 111769, 123253, 32149, 31195, 198, 13177, 15017, 119, 76947, 107297, 37046, 123410, 10646, 15682, 106090, 38574, 71289, 120065, 56051, 38574, 104364, 16556, 102780, 30512, 15017, 119, 76947, 114732, 104309, 5486, 97518, 107792, 30512, 15017, 119, 76947, 114732, 30926, 16556, 97518, 107792, 30512, 109189, 103792, 13177, 21688, 255, 115351, 10646, 71289, 13177, 122279, 34048, 121606, 118587, 125173, 114218, 39926, 114732, 30926, 30512, 78244, 61689, 9174, 67645, 51330, 97518, 107792, 105352, 125119, 30369, 125396, 115991, 33541, 29295, 5486, 102780, 61075, 104309, 102780, 16144, 97518, 107792, 71289, 46034, 61075, 104309, 46034, 16144, 97518, 107792, 20230, 125119, 30369, 105908, 43240, 118544, 110241, 33121, 107515, 9174, 53900, 5486, 109060, 123429, 104309, 16556, 102663, 102472, 30512, 39926, 61075, 16144, 108631, 64121, 30512, 102404, 21990, 39926, 114604, 107803, 30512, 13177, 104004, 43514, 117591, 66383, 16995, 61689, 29295, 5486, 104004, 43514, 76537, 86614, 13177, 80988, 116, 103433, 236, 30512, 15017, 119, 100472, 66383, 16995, 126832, 107297, 37046, 38641, 9174, 77181, 5486, 15017, 119, 100472, 118733, 125119, 30369, 21688, 255, 115351, 16144, 107297, 37046, 107118, 67645, 120950, 100909, 26854, 104865, 31195, 198, 21688, 255, 115351, 107118, 97518, 107792, 30512, 106391, 13153, 54926, 121606, 112028, 59739, 16556, 5486, 110135, 19732, 110135, 116825, 26854, 105557, 19732, 109315, 66953, 102860, 120950, 102944, 16556, 5486, 97518, 107792, 16144, 91875, 50834, 104309, 30512, 51385, 23187, 124545, 122502, 50834, 115991, 33541, 9174, 102780, 16144, 97518, 107792, 104309, 30512, 104195, 47884, 15017, 119, 76947, 114732, 19732, 106116, 66953, 102860, 29295, 113801, 110137, 81219, 84389, 10110, 64780, 16, 65459, 107803, 113468, 15682, 105494, 112535, 102769, 106824, 114604, 31431, 10110, 64780, 17, 65459, 104328, 67645, 16995, 126513, 108038, 20230, 102769, 106824, 114604, 31431, 10110, 64780, 18, 7705, 78434, 9174, 64780, 16, 220, 71567, 254, 27479, 125173, 114218, 198, 64780, 17, 220, 71567, 94, 27479, 125173, 114218, 198, 64780, 18, 220, 71567, 95, 27479, 125173, 114218, 198, 108936, 109904, 16937, 104873, 103306, 15682, 198, 101734, 120, 108631, 198, 101921, 104, 101171, 117, 10110, 15682, 33121, 23954, 107969, 99750, 198, 104473, 101921, 104, 10110, 32943, 20834, 104473, 23954, 91875, 19967, 39177, 108631, 10110, 91875, 32149, 39926, 108631, 16995, 23954, 97518, 107792, 16144, 127408, 23187, 99750, 198, 21688, 255, 115351, 16144, 23951, 109095, 103188, 39607, 15682, 198, 118075, 126743, 235, 114218, 34048, 25129, 20230, 23951, 109095, 20230, 122502, 47884, 104398, 112506, 29295, 117976, 17701, 1811, 64889, 117068, 56051, 34048, 25129, 30512, 123653, 62004, 5486, 125173, 114218, 56051, 121606, 30512, 21418, 86436, 78434, 9174, 119560, 220, 58426, 104398, 112506, 29295, 101911, 109205, 45951, 121, 104398, 112506, 102677, 122279, 34048, 121606, 126694, 30369, 104398, 112506, 20230, 22324, 50834, 109033, 116547, 5486, 21688, 255, 115351, 16144, 101911, 109205, 107809, 109156, 31431, 121423, 124572, 16144, 21688, 255, 115351, 121711, 33541, 9174, 51330, 104398, 112506, 15682, 102971, 40862, 121606, 16144, 75146, 108176, 47260, 32131, 38248, 110, 16073, 30512, 45059, 15024, 17039, 102800, 21688, 255, 115351, 16144, 75146, 114457, 121711, 33541, 9174, 126892, 80019, 102800, 47260, 32131, 38248, 110, 16073, 101911, 109205, 19732, 102491, 16995, 47260, 32131, 38248, 110, 16073, 101911, 109205, 29295, 102971, 40862, 15024, 5486, 17905, 61304, 101911, 109205, 45951, 121, 104398, 112506, 29295, 33420, 21388, 9174, 102677, 103188, 39607, 16556, 21688, 255, 115351, 16144, 23951, 109095, 29295, 33014, 32943, 16556, 23039, 123671, 33541, 9174, 18904, 109095, 103296, 16144, 21688, 255, 115351, 23951, 109095, 103188, 39607, 15682, 112361, 119627, 5486, 125173, 114218, 16144, 27479, 40862, 16995, 113468, 15682, 18904, 109095, 103296, 16144, 13177, 117232, 10646, 15682, 124500, 76947, 50834, 33541, 9174, 32977, 43514, 85791, 25827, 125173, 114218, 16144, 27479, 40862, 16995, 111848, 105879, 5486, 15682, 121381, 111842, 56051, 117232, 15682, 78244, 58942, 107515, 29295, 5486, 19, 111299, 21909, 60596, 111299, 120264, 15682, 32149, 32149, 104533, 78698, 107290, 32977, 103424, 117201, 109954, 9174, 110241, 15017, 119, 76947, 39926, 114604, 126513, 118962, 124417, 117812, 124606, 117120, 22324, 30512, 21105, 96, 107277, 23039, 76947, 72315, 9174, 53900, 15017, 119, 76947, 114604, 16144, 125173, 114218, 27479, 40862, 16995, 113468, 15682, 36896, 21105, 96, 107277, 114267, 124108, 10646, 29295, 109215, 115717, 33541, 9174, 15017, 119, 76947, 39926, 114604, 31195, 19732, 117355, 47884, 113727, 100934, 19732, 16325, 104680, 5486, 18904, 109095, 39926, 22957, 100604, 105908, 57903, 33541, 9174, 108056, 19732, 114363, 103722, 46729, 20230, 50021, 111813, 15024, 5486, 37656, 102800, 117120, 22324, 30512, 102923, 17663, 104466, 103801, 109954, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 9458, 124011, 109089, 122692, 16937, 104873, 9458, 109060, 123429, 117271, 128001, 128000, 61826, 9080, 5486, 92776, 25129, 107591, 37656, 113290, 16144, 118273, 29295, 23039, 123671, 5486, 36827, 105600, 14309, 249, 17297, 29295, 92776, 25129, 56051, 106592, 102433, 117409, 9458, 48915, 20230, 107322, 31958, 84389, 79721, 9174, 51330, 118273, 29430, 16144, 113009, 5486, 125559, 55031, 43240, 119064, 106444, 24186, 61075, 71289, 101538, 71869, 120332, 29295, 37507, 9080, 84389, 79721, 9174, 62004, 16556, 106956, 125651, 9174, 106444, 24186, 61075, 102677, 112690, 124905, 16995, 79721, 29295, 116898, 100472, 16995, 99849, 30512, 64467, 17663, 105879, 109954, 32149, 9174, 106444, 24186, 61075, 107118, 5486, 127709, 112607, 16144, 101544, 103306, 103359, 48915, 9554, 106691, 112607, 114792, 59739, 48706, 10110, 17792, 7705, 71289, 10110, 107338, 112607, 16144, 101544, 103195, 126660, 32149, 15682, 99397, 124059, 7705, 103359, 48915, 9554, 106691, 112607, 114792, 103836, 48706, 10110, 17792, 7705, 30512, 64467, 17663, 102083, 78183, 106824, 61689, 9174, 127164, 77181, 20251, 93488, 57326, 27384, 105156, 108761, 29295, 106444, 24186, 61075, 102677, 100909, 115717, 33541, 9174, 77181, 123085, 77181, 112832, 29295, 106444, 24186, 61075, 26854, 105879, 109954, 32149, 9174, 31958, 71005, 107063, 110, 25333, 17297, 77181, 5486, 31958, 17161, 106045, 23187, 120937, 102944, 16144, 5486, 36827, 105600, 14309, 249, 17297, 30512, 106444, 24186, 61075, 117408, 106592, 25580, 29172, 117408, 106045, 23187, 29295, 102332, 76622, 102204, 100481, 79721, 9174, 80673, 102321, 107063, 110, 25333, 102052, 112832, 30512, 106444, 24186, 61075, 117408, 104865, 102677, 106045, 23187, 15682, 103470, 5486, 37689, 91774, 29295, 17620, 32149, 115032, 112973, 102321, 103397, 38641, 9174, 36827, 105600, 14309, 249, 17297, 30512, 106444, 24186, 61075, 117408, 108323, 71289, 107338, 112607, 16144, 101544, 103195, 32943, 34273, 96, 125845, 32943, 34273, 96, 110022, 22649, 27384, 113524, 30512, 106444, 24186, 61075, 117408, 108323, 5486, 106444, 24186, 61075, 15682, 16937, 19000, 117408, 108323, 104309, 115991, 33541, 9174, 102971, 105242, 103306, 123085, 16144, 106444, 24186, 61075, 29295, 112832, 103195, 32149, 15682, 31958, 105184, 20230, 23187, 62004, 102204, 126386, 102677, 100909, 38641, 9174, 90620, 5486, 106444, 24186, 61075, 109853, 106045, 23187, 30512, 109768, 100604, 29504, 32977, 48706, 103792, 100909, 55031, 123085, 103378, 29295, 119389, 102677, 100909, 111769, 117840, 1811, 101678, 102212, 128001, 128000, 2, 109949, 94550, 90962, 52884, 47260, 52414, 16144, 117859, 112984, 75146, 107253, 765, 119767, 38093, 33563, 117126, 8239, 112, 102781, 101559, 123357, 32938, 105228, 29504, 108502, 104698, 8107, 35330, 80805, 84477, 96452, 106240, 198, 3915, 5232, 58911, 106894, 116254, 50211, 198, 37026, 110362, 105755, 82530, 198, 117382, 5486, 119557, 90962, 52884, 47260, 52414, 30512, 16027, 16556, 91774, 28713, 39177, 112197, 87177, 38641, 9174, 119557, 90962, 52884, 47260, 52414, 15682, 5486, 104662, 104284, 20230, 108618, 100472, 605, 103214, 112197, 49838, 16995, 117813, 114754, 123085, 15120, 30512, 30832, 64467, 17663, 112345, 38641, 9174, 67645, 16144, 103214, 64121, 29295, 15120, 87217, 28190, 101828, 16995, 104865, 11571, 30512, 20, 13372, 16144, 117859, 112984, 102351, 29295, 28542, 9039, 116825, 76622, 33541, 9174, 20, 13372, 16144, 117859, 112984, 102351, 15682, 5486, 88852, 124911, 105459, 38641, 9174, 47260, 52414, 15682, 5486, 102971, 106391, 120111, 16556, 114652, 91774, 33541, 9174, 105994, 26854, 112586, 5486, 117859, 112984, 102351, 110276, 59739, 123731, 16556, 5486, 118935, 28542, 39926, 64121, 28713, 116233, 9174, 85701, 15682, 28190, 101828, 16995, 26854, 9174, 85701, 15682, 120065, 78183, 107277, 109669, 110706, 26854, 9174, 118935, 28542, 126198, 113702, 119627, 5486, 107420, 112197, 49838, 16995, 117813, 107707, 17792, 19732, 102971, 106391, 5486, 78525, 44971, 100481, 79721, 49838, 198, 105994, 26854, 112586, 28190, 101828, 102518, 107707, 28542, 9039, 29295, 30591, 109709, 110137, 102802, 104435, 31431, 111476, 116900, 20230, 28190, 101828, 47884, 100604, 106046, 100472, 107707, 28542, 9039, 29295, 110137, 102802, 100481, 79721, 9174, 42016, 59999, 248, 16144, 5486, 24186, 33334, 49838, 16995, 117813, 17792, 103195, 101544, 123575, 98369, 105352, 119557, 90962, 52884, 47260, 52414, 16144, 118733, 39135, 104680, 19732, 87177, 56051, 16144, 119627, 111476, 101544, 123575, 121944, 91774, 100934, 103984, 28542, 29295, 5486, 105994, 19732, 37087, 61994, 108010, 30297, 26854, 56040, 76947, 112391, 79721, 9174, 101544, 123575, 117940, 111476, 87177, 16144, 106391, 13153, 71289, 5486, 126238, 105714, 16144, 100783, 102, 34208, 5486, 56965, 5486, 78183, 107277, 126172, 30813, 50667, 16144, 103984, 28542, 114792, 76947, 111476, 91774, 100481, 79721, 9174, 101544, 123575, 98369, 32977, 5486, 117859, 112984, 102351, 19732, 112361, 99750, 112854 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 61075, 47000, 60358, 16556, 119049, 107079, 55031, 101921, 109, 20230, 104721, 116547, 106116, 101921, 109, 16144, 105494, 20230, 16937, 104873, 29295, 72718, 50834, 5486, 48915, 28873, 10110, 48915, 109749, 104369, 15024, 7705, 41642, 115195, 16144, 108631, 64121, 30512, 102404, 54926, 102944, 30512, 101921, 241, 110135, 119049, 16144, 108631, 64121, 102083, 61689, 9174, 113385, 103306, 15682, 5486, 102780, 16144, 48915, 110366, 113245, 100815, 30590, 56051, 31431, 5486, 30590, 28190, 30512, 115064, 112, 31431, 109415, 30369, 105933, 83799, 16556, 102780, 61075, 124905, 30297, 19732, 5486, 103188, 27479, 26854, 71634, 108744, 29295, 32149, 107277, 16937, 104873, 30512, 125119, 39926, 114732, 30926, 121711, 33541, 9174, 17663, 101832, 16144, 48915, 110366, 16144, 108631, 64121, 9458, 102780, 61075, 16144, 48915, 110366, 16144, 108631, 64121, 9458, 48915, 109749, 104369, 119432, 108631, 64121, 104309, 101921, 241, 110135, 119049, 101921, 109, 16144, 108631, 64121, 29295, 102404, 21990, 39926, 56965, 126758, 39177, 23538, 15682, 5486, 108631, 64121, 30512, 37046, 110020, 39926, 117401, 123410, 109335, 106084, 33541, 9174, 16937, 104873, 29295, 103130, 104127, 47884, 104533, 5486, 105564, 47884, 103378, 72661, 102334, 115737, 31431, 5486, 102149, 30369, 104309, 117401, 54926, 105908, 110482, 111108, 115717, 33541, 9174, 110241, 5486, 102780, 16144, 48915, 110366, 124905, 76947, 30358, 64209, 30512, 19732, 30369, 105933, 102780, 16144, 33655, 16995, 24273, 30512, 103792, 107803, 5486, 102780, 16144, 32943, 110366, 124905, 30297, 106592, 37689, 109375, 112990, 103424, 117201, 109954, 9174, 90620, 5486, 105564, 23039, 39177, 71289, 102149, 23039, 126101, 111930, 113, 10110, 32149, 32149, 19732, 120732, 48915, 110366, 55031, 100815, 30590, 54926, 109335, 109606, 124897, 9174, 30358, 64209, 16144, 127284, 15682, 111930, 113, 10110, 32149, 32149, 19732, 120732, 48915, 110366, 55031, 100815, 50834, 106116, 74482, 5486, 26955, 229, 50266, 122, 79059, 55031, 26955, 229, 50266, 122, 10110, 30537, 16, 50266, 122, 7705, 30512, 30358, 64209, 29295, 113487, 76622, 100481, 47884, 83799, 29295, 103424, 117201, 109954, 9174, 53900, 5486, 80195, 107462, 104533, 50834, 16144, 110783, 110095, 16556, 106759, 64467, 110366, 30512, 109415, 38144, 80195, 103836, 110783, 110095, 10110, 102780, 16144, 48915, 110366, 16556, 80195, 103836, 110783, 110095, 7705, 30512, 103792, 107803, 32977, 5486, 101921, 241, 110135, 119049, 9458, 101921, 241, 110135, 119049, 101921, 109, 20230, 71634, 108744, 29295, 32149, 107277, 16937, 104873, 30512, 125119, 39926, 114732, 30926, 32977, 57903, 33541, 9174, 110783, 110095, 20230, 95221, 30512, 47000, 105784, 104466, 39926, 72315, 9174, 17905, 61304, 44915, 16144, 102717, 111201, 5486, 93488, 78683, 94550, 71289, 105564, 23039, 125344, 100815, 30590, 16144, 127852, 107666, 29295, 106266, 102800, 19732, 13177, 101921, 241, 110135, 119049, 101921, 109, 10646, 20230, 109972, 106529, 29295, 32149, 107277, 33541, 9174, 93488, 78683, 94550, 108526, 103202, 104088, 74245, 15024, 5486, 76171, 102741, 64178, 16144, 107740, 71289, 29220, 26269, 104272, 34171, 16144, 126521, 107271, 106240, 30512, 102647, 102189, 111842, 5486, 100815, 30590, 30512, 22398, 91062, 106240, 117657, 106592, 37689, 109375, 54926, 118733, 5486, 127852, 107666, 30512, 71289, 78183, 33503, 32149, 47884, 54926, 115789, 27384, 102769, 26854, 120098, 117282, 123253, 9174, 53900, 5486, 101921, 241, 110135, 119049, 101921, 109, 16144, 108631, 64121, 10110, 17663, 101832, 16144, 48915, 110366, 16144, 108631, 64121, 9458, 102780, 61075, 16144, 48915, 110366, 16144, 108631, 64121, 9458, 48915, 109749, 104369, 119432, 108631, 64121, 7705, 30512, 102404, 21990, 39926, 114604, 107803, 5486, 114363, 103722, 46729, 16144, 102923, 103991, 15682, 32977, 43514, 85791, 25827, 5486, 71634, 44971, 108981, 71289, 118962, 124417, 117812, 124606, 117120, 22324, 104309, 48154, 116907, 16556, 106084, 30369, 64810, 122981, 39850, 108304, 96452, 107446, 30512, 21105, 96, 107277, 23039, 76947, 72315, 9174, 71689, 16144, 106592, 104611, 103892, 20230, 22324, 50834, 5486, 105843, 103350, 56051, 105465, 102800, 124011, 109089, 102803, 52591, 30512, 37705, 104028, 104466, 103801, 109954, 9174, 37271, 18904, 15682, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 20230, 48249, 121140, 9080, 40053, 104654, 72661, 125119, 31431, 126172, 16995, 107297, 37046, 198, 15017, 119, 30369, 100909, 112212, 125119, 30369, 107297, 37046, 198, 40265, 52884, 77750, 16556, 110382, 99849, 18904, 111201, 78183, 115926, 13177, 124011, 109089, 9458, 93488, 78683, 94550, 122692, 16937, 104873, 10646, 109853, 33334, 87177, 107726, 100481, 90620, 16995, 101732, 44915, 16556, 5486, 104655, 112495, 110615, 112690, 29295, 43240, 102518, 32149, 110241, 33121, 107515, 29295, 13177, 15017, 119, 76947, 107297, 37046, 123410, 10646, 15682, 104655, 112495, 115032, 16144, 111769, 123253, 32149, 31195, 198, 13177, 15017, 119, 76947, 107297, 37046, 123410, 10646, 15682, 106090, 38574, 71289, 120065, 56051, 38574, 104364, 16556, 102780, 30512, 15017, 119, 76947, 114732, 104309, 5486, 97518, 107792, 30512, 15017, 119, 76947, 114732, 30926, 16556, 97518, 107792, 30512, 109189, 103792, 13177, 21688, 255, 115351, 10646, 71289, 13177, 122279, 34048, 121606, 118587, 125173, 114218, 39926, 114732, 30926, 30512, 78244, 61689, 9174, 67645, 51330, 97518, 107792, 105352, 125119, 30369, 125396, 115991, 33541, 29295, 5486, 102780, 61075, 104309, 102780, 16144, 97518, 107792, 71289, 46034, 61075, 104309, 46034, 16144, 97518, 107792, 20230, 125119, 30369, 105908, 43240, 118544, 110241, 33121, 107515, 9174, 53900, 5486, 109060, 123429, 104309, 16556, 102663, 102472, 30512, 39926, 61075, 16144, 108631, 64121, 30512, 102404, 21990, 39926, 114604, 107803, 30512, 13177, 104004, 43514, 117591, 66383, 16995, 61689, 29295, 5486, 104004, 43514, 76537, 86614, 13177, 80988, 116, 103433, 236, 30512, 15017, 119, 100472, 66383, 16995, 126832, 107297, 37046, 38641, 9174, 77181, 5486, 15017, 119, 100472, 118733, 125119, 30369, 21688, 255, 115351, 16144, 107297, 37046, 107118, 67645, 120950, 100909, 26854, 104865, 31195, 198, 21688, 255, 115351, 107118, 97518, 107792, 30512, 106391, 13153, 54926, 121606, 112028, 59739, 16556, 5486, 110135, 19732, 110135, 116825, 26854, 105557, 19732, 109315, 66953, 102860, 120950, 102944, 16556, 5486, 97518, 107792, 16144, 91875, 50834, 104309, 30512, 51385, 23187, 124545, 122502, 50834, 115991, 33541, 9174, 102780, 16144, 97518, 107792, 104309, 30512, 104195, 47884, 15017, 119, 76947, 114732, 19732, 106116, 66953, 102860, 29295, 113801, 110137, 81219, 84389, 10110, 64780, 16, 65459, 107803, 113468, 15682, 105494, 112535, 102769, 106824, 114604, 31431, 10110, 64780, 17, 65459, 104328, 67645, 16995, 126513, 108038, 20230, 102769, 106824, 114604, 31431, 10110, 64780, 18, 7705, 78434, 9174, 64780, 16, 220, 71567, 254, 27479, 125173, 114218, 198, 64780, 17, 220, 71567, 94, 27479, 125173, 114218, 198, 64780, 18, 220, 71567, 95, 27479, 125173, 114218, 198, 108936, 109904, 16937, 104873, 103306, 15682, 198, 101734, 120, 108631, 198, 101921, 104, 101171, 117, 10110, 15682, 33121, 23954, 107969, 99750, 198, 104473, 101921, 104, 10110, 32943, 20834, 104473, 23954, 91875, 19967, 39177, 108631, 10110, 91875, 32149, 39926, 108631, 16995, 23954, 97518, 107792, 16144, 127408, 23187, 99750, 198, 21688, 255, 115351, 16144, 23951, 109095, 103188, 39607, 15682, 198, 118075, 126743, 235, 114218, 34048, 25129, 20230, 23951, 109095, 20230, 122502, 47884, 104398, 112506, 29295, 117976, 17701, 1811, 64889, 117068, 56051, 34048, 25129, 30512, 123653, 62004, 5486, 125173, 114218, 56051, 121606, 30512, 21418, 86436, 78434, 9174, 119560, 220, 58426, 104398, 112506, 29295, 101911, 109205, 45951, 121, 104398, 112506, 102677, 122279, 34048, 121606, 126694, 30369, 104398, 112506, 20230, 22324, 50834, 109033, 116547, 5486, 21688, 255, 115351, 16144, 101911, 109205, 107809, 109156, 31431, 121423, 124572, 16144, 21688, 255, 115351, 121711, 33541, 9174, 51330, 104398, 112506, 15682, 102971, 40862, 121606, 16144, 75146, 108176, 47260, 32131, 38248, 110, 16073, 30512, 45059, 15024, 17039, 102800, 21688, 255, 115351, 16144, 75146, 114457, 121711, 33541, 9174, 126892, 80019, 102800, 47260, 32131, 38248, 110, 16073, 101911, 109205, 19732, 102491, 16995, 47260, 32131, 38248, 110, 16073, 101911, 109205, 29295, 102971, 40862, 15024, 5486, 17905, 61304, 101911, 109205, 45951, 121, 104398, 112506, 29295, 33420, 21388, 9174, 102677, 103188, 39607, 16556, 21688, 255, 115351, 16144, 23951, 109095, 29295, 33014, 32943, 16556, 23039, 123671, 33541, 9174, 18904, 109095, 103296, 16144, 21688, 255, 115351, 23951, 109095, 103188, 39607, 15682, 112361, 119627, 5486, 125173, 114218, 16144, 27479, 40862, 16995, 113468, 15682, 18904, 109095, 103296, 16144, 13177, 117232, 10646, 15682, 124500, 76947, 50834, 33541, 9174, 32977, 43514, 85791, 25827, 125173, 114218, 16144, 27479, 40862, 16995, 111848, 105879, 5486, 15682, 121381, 111842, 56051, 117232, 15682, 78244, 58942, 107515, 29295, 5486, 19, 111299, 21909, 60596, 111299, 120264, 15682, 32149, 32149, 104533, 78698, 107290, 32977, 103424, 117201, 109954, 9174, 110241, 15017, 119, 76947, 39926, 114604, 126513, 118962, 124417, 117812, 124606, 117120, 22324, 30512, 21105, 96, 107277, 23039, 76947, 72315, 9174, 53900, 15017, 119, 76947, 114604, 16144, 125173, 114218, 27479, 40862, 16995, 113468, 15682, 36896, 21105, 96, 107277, 114267, 124108, 10646, 29295, 109215, 115717, 33541, 9174, 15017, 119, 76947, 39926, 114604, 31195, 19732, 117355, 47884, 113727, 100934, 19732, 16325, 104680, 5486, 18904, 109095, 39926, 22957, 100604, 105908, 57903, 33541, 9174, 108056, 19732, 114363, 103722, 46729, 20230, 50021, 111813, 15024, 5486, 37656, 102800, 117120, 22324, 30512, 102923, 17663, 104466, 103801, 109954, 9174, 165, 104247, 5486, 110135, 114457, 100543, 107, 37656, 9458, 124011, 109089, 122692, 16937, 104873, 9458, 109060, 123429, 117271, 128001, 128000, 61826, 9080, 5486, 92776, 25129, 107591, 37656, 113290, 16144, 118273, 29295, 23039, 123671, 5486, 36827, 105600, 14309, 249, 17297, 29295, 92776, 25129, 56051, 106592, 102433, 117409, 9458, 48915, 20230, 107322, 31958, 84389, 79721, 9174, 51330, 118273, 29430, 16144, 113009, 5486, 125559, 55031, 43240, 119064, 106444, 24186, 61075, 71289, 101538, 71869, 120332, 29295, 37507, 9080, 84389, 79721, 9174, 62004, 16556, 106956, 125651, 9174, 106444, 24186, 61075, 102677, 112690, 124905, 16995, 79721, 29295, 116898, 100472, 16995, 99849, 30512, 64467, 17663, 105879, 109954, 32149, 9174, 106444, 24186, 61075, 107118, 5486, 127709, 112607, 16144, 101544, 103306, 103359, 48915, 9554, 106691, 112607, 114792, 59739, 48706, 10110, 17792, 7705, 71289, 10110, 107338, 112607, 16144, 101544, 103195, 126660, 32149, 15682, 99397, 124059, 7705, 103359, 48915, 9554, 106691, 112607, 114792, 103836, 48706, 10110, 17792, 7705, 30512, 64467, 17663, 102083, 78183, 106824, 61689, 9174, 127164, 77181, 20251, 93488, 57326, 27384, 105156, 108761, 29295, 106444, 24186, 61075, 102677, 100909, 115717, 33541, 9174, 77181, 123085, 77181, 112832, 29295, 106444, 24186, 61075, 26854, 105879, 109954, 32149, 9174, 31958, 71005, 107063, 110, 25333, 17297, 77181, 5486, 31958, 17161, 106045, 23187, 120937, 102944, 16144, 5486, 36827, 105600, 14309, 249, 17297, 30512, 106444, 24186, 61075, 117408, 106592, 25580, 29172, 117408, 106045, 23187, 29295, 102332, 76622, 102204, 100481, 79721, 9174, 80673, 102321, 107063, 110, 25333, 102052, 112832, 30512, 106444, 24186, 61075, 117408, 104865, 102677, 106045, 23187, 15682, 103470, 5486, 37689, 91774, 29295, 17620, 32149, 115032, 112973, 102321, 103397, 38641, 9174, 36827, 105600, 14309, 249, 17297, 30512, 106444, 24186, 61075, 117408, 108323, 71289, 107338, 112607, 16144, 101544, 103195, 32943, 34273, 96, 125845, 32943, 34273, 96, 110022, 22649, 27384, 113524, 30512, 106444, 24186, 61075, 117408, 108323, 5486, 106444, 24186, 61075, 15682, 16937, 19000, 117408, 108323, 104309, 115991, 33541, 9174, 102971, 105242, 103306, 123085, 16144, 106444, 24186, 61075, 29295, 112832, 103195, 32149, 15682, 31958, 105184, 20230, 23187, 62004, 102204, 126386, 102677, 100909, 38641, 9174, 90620, 5486, 106444, 24186, 61075, 109853, 106045, 23187, 30512, 109768, 100604, 29504, 32977, 48706, 103792, 100909, 55031, 123085, 103378, 29295, 119389, 102677, 100909, 111769, 117840, 1811, 101678, 102212, 128001, 128000, 2, 109949, 94550, 90962, 52884, 47260, 52414, 16144, 117859, 112984, 75146, 107253, 765, 119767, 38093, 33563, 117126, 8239, 112, 102781, 101559, 123357, 32938, 105228, 29504, 108502, 104698, 8107, 35330, 80805, 84477, 96452, 106240, 198, 3915, 5232, 58911, 106894, 116254, 50211, 198, 37026, 110362, 105755, 82530, 198, 117382, 5486, 119557, 90962, 52884, 47260, 52414, 30512, 16027, 16556, 91774, 28713, 39177, 112197, 87177, 38641, 9174, 119557, 90962, 52884, 47260, 52414, 15682, 5486, 104662, 104284, 20230, 108618, 100472, 605, 103214, 112197, 49838, 16995, 117813, 114754, 123085, 15120, 30512, 30832, 64467, 17663, 112345, 38641, 9174, 67645, 16144, 103214, 64121, 29295, 15120, 87217, 28190, 101828, 16995, 104865, 11571, 30512, 20, 13372, 16144, 117859, 112984, 102351, 29295, 28542, 9039, 116825, 76622, 33541, 9174, 20, 13372, 16144, 117859, 112984, 102351, 15682, 5486, 88852, 124911, 105459, 38641, 9174, 47260, 52414, 15682, 5486, 102971, 106391, 120111, 16556, 114652, 91774, 33541, 9174, 105994, 26854, 112586, 5486, 117859, 112984, 102351, 110276, 59739, 123731, 16556, 5486, 118935, 28542, 39926, 64121, 28713, 116233, 9174, 85701, 15682, 28190, 101828, 16995, 26854, 9174, 85701, 15682, 120065, 78183, 107277, 109669, 110706, 26854, 9174, 118935, 28542, 126198, 113702, 119627, 5486, 107420, 112197, 49838, 16995, 117813, 107707, 17792, 19732, 102971, 106391, 5486, 78525, 44971, 100481, 79721, 49838, 198, 105994, 26854, 112586, 28190, 101828, 102518, 107707, 28542, 9039, 29295, 30591, 109709, 110137, 102802, 104435, 31431, 111476, 116900, 20230, 28190, 101828, 47884, 100604, 106046, 100472, 107707, 28542, 9039, 29295, 110137, 102802, 100481, 79721, 9174, 42016, 59999, 248, 16144, 5486, 24186, 33334, 49838, 16995, 117813, 17792, 103195, 101544, 123575, 98369, 105352, 119557, 90962, 52884, 47260, 52414, 16144, 118733, 39135, 104680, 19732, 87177, 56051, 16144, 119627, 111476, 101544, 123575, 121944, 91774, 100934, 103984, 28542, 29295, 5486, 105994, 19732, 37087, 61994, 108010, 30297, 26854, 56040, 76947, 112391, 79721, 9174, 101544, 123575, 117940, 111476, 87177, 16144, 106391, 13153, 71289, 5486, 126238, 105714, 16144, 100783, 102, 34208, 5486, 56965, 5486, 78183, 107277, 126172, 30813, 50667, 16144, 103984, 28542, 114792, 76947, 111476, 91774, 100481, 79721, 9174, 101544, 123575, 98369, 32977, 5486, 117859, 112984, 102351, 19732, 112361, 99750, 112854 ]
[ 16144, 110794, 36668, 16556, 56051, 9174, 30813, 17663, 29295, 122543, 56040, 76947, 99750, 64209, 56051, 16144, 38641, 9174, 122571, 5486, 74245, 99750, 16556, 5486, 105321, 19732, 103470, 28190, 101828, 16995, 110162, 28542, 9039, 116825, 76622, 101732, 116233, 9174, 90620, 103984, 36735, 112, 54926, 103378, 105110, 5486, 37087, 61994, 58426, 99750, 112854, 16556, 104712, 119150, 16144, 119627, 111476, 117859, 112984, 123410, 102083, 100472, 107803, 5486, 87177, 29295, 108010, 76947, 50834, 33541, 9174, 117859, 112984, 102351, 16144, 99750, 112854, 16556, 28542, 9039, 116825, 107441, 114732, 19732, 111476, 117859, 112984, 102351, 29295, 124500, 104984, 5486, 112672, 110480, 25129, 32977, 124500, 76947, 114732, 16144, 38641, 9174, 122582, 35417, 50211, 34171, 29295, 33563, 28713, 33121, 107515, 9174, 58426, 103846, 111476, 117859, 112984, 75146, 107253, 102677, 102944, 119279, 49838, 16995, 105352, 48706, 54926, 16144, 38641, 9174, 53900, 5486, 117859, 112984, 102351, 15682, 58426, 117859, 112984, 75146, 107253, 30512, 21105, 96, 107277, 19732, 113954, 103792, 17792, 16556, 100604, 19732, 5486, 102781, 109709, 107515, 9174, 122571, 102781, 109709, 107515, 49838, 198, 122582, 5486, 108502, 104698, 8107, 35330, 72661, 112361, 105908, 78244, 58942, 33541, 9174, 108502, 104698, 8107, 35330, 114475, 76622, 18655, 104028, 32149, 5486, 101682, 76622, 18655, 110615, 32149, 11571, 16144, 103283, 33121, 30832, 15682, 111476, 99849, 19732, 103470, 16556, 117859, 112984, 110731, 113334, 77181, 124897, 9174, 110924, 102052, 5486, 117859, 112984, 75146, 107253, 102677, 102944, 29295, 105184, 111201, 48706, 78434, 9174, 58426, 103846, 106116, 117859, 112984, 75146, 107253, 20230, 117989, 76947, 111476, 108502, 104698, 8107, 35330, 16144, 102782, 109311, 30512, 21105, 103, 16995, 19732, 108502, 104698, 8107, 35330, 114475, 76622, 18655, 110615, 125396, 115991, 33541, 9174, 117859, 112984, 75146, 107253, 30512, 102178, 111665, 103792, 32149, 109768, 100604, 32149, 16556, 5486, 113702, 29295, 119448, 47884, 124500, 76947, 114732, 16144, 38641, 9174, 108502, 104698, 8107, 35330, 16144, 102782, 109311, 123410, 103378, 72661, 27384, 104721, 26854, 110115, 5486, 117859, 112984, 75146, 107253, 30512, 102178, 111665, 54926, 114016, 43568, 22649, 106609, 72661, 51385, 64209, 39926, 72315, 9174, 86127, 105459, 29295, 117859, 112984, 75146, 107253, 30512, 102178, 111665, 127145, 9174, 30591, 112568, 15682, 117859, 112984, 75146, 107253, 30512, 53508, 231, 104195, 54926, 109215, 15682, 124897, 9174, 110241, 37271, 105755, 5486, 108502, 104698, 8107, 35330, 114475, 76622, 18655, 104028, 125396, 30512, 109415, 106956, 106609, 102677, 118733, 127564, 5486, 112371, 104328, 48154, 50021, 111813, 72315, 9174, 48634, 115717, 33541, 9174, 48154, 89046, 117139, 33334, 75293, 43514, 127145, 1811, 128001, 128000, 679, 19, 12, 2545, 12, 966, 109359, 117735, 104575, 20230, 33035, 76947, 17, 8107, 103268, 10110, 20713, 120732, 106307, 50834, 38641, 9174, 114341, 104599, 55031, 101682, 107674, 64467, 112419, 125001, 47884, 59739, 32149, 9174, 15120, 91774, 33035, 117735, 118552, 17905, 16144, 109606, 16556, 5486, 114654, 16144, 75146, 17920, 236, 48634, 16144, 109606, 111769, 116421, 117840, 119520, 5486, 103350, 104983, 102052, 114654, 29295, 86127, 125030, 76947, 48915, 29504, 102158, 10110, 582, 3004, 4221, 7705, 103195, 113009, 13177, 89783, 116664, 10646, 119703, 105908, 113385, 104856, 103836, 104468, 56965, 121953, 124897, 9174, 10634, 120, 198, 108134, 16144, 115232, 15017, 231, 109853, 15682, 108948, 27929, 124749, 25963, 118821, 113385, 107407, 16144, 111769, 32149, 19732, 78698, 107290, 64121, 79721, 9174, 12, 105863, 255, 23538, 61304, 125534, 29295, 16937, 114392, 198, 12, 105432, 252, 102334, 87177, 30512, 110022, 106885, 39926, 114732, 198, 106649, 23538, 61304, 125534, 20230, 67645, 33121, 103378, 110226, 108446, 39926, 108167, 20834, 122101, 32149, 15682, 121568, 104364, 29295, 108008, 20230, 119448, 16995, 117840, 1811, 127880, 107803, 123085, 102158, 16144, 116491, 77219, 72661, 88356, 102321, 10110, 37823, 107420, 99959, 122131, 7705, 29295, 111108, 102800, 19732, 112391, 104533, 50834, 32977, 57903, 33541, 10110, 44915, 112212, 75376, 120117, 115541, 16556, 67645, 33121, 108680, 110137, 102802, 30369, 124233, 107277, 107515, 29295, 5486, 30590, 45893, 20230, 115541, 108710, 30512, 106307, 105784, 67016, 100604, 104865, 110241, 33121, 107515, 1811, 791, 84038, 97718, 77219, 30512, 30868, 247, 98499, 39926, 55031, 88356, 102321, 54926, 115541, 108710, 30512, 25963, 8107, 108680, 121410, 9080, 106307, 107441, 61689, 1811, 118899, 117084, 71289, 71289, 8239, 114503, 125334, 38144, 105898, 117840, 9174, 13177, 104655, 102334, 87177, 30512, 110022, 106885, 39926, 114732, 66383, 95604, 104468, 5486, 101544, 116358, 114435, 114731, 102781, 16556, 198, 13177, 16556, 108048, 15682, 59739, 109709, 104405, 95604, 100909, 91006, 198, 102677, 104655, 50834, 24273, 9458, 113727, 24273, 29295, 108208, 64121, 59739, 16995, 100481, 120550, 100909, 1811, 87177, 30046, 20230, 112427, 103350, 20230, 88356, 102321, 109768, 119064, 126194, 111476, 13177, 16995, 85791, 16995, 85791, 78244, 113017, 107493, 5486, 17129, 30591, 5486, 59739, 109709, 108895, 95604, 100909, 111329, 19732, 13177, 123011, 109013, 29295, 30369, 117503, 111769, 32149, 19732, 1981, 1811, 106649, 23538, 61304, 125534, 29295, 112294, 28542, 26854, 105879, 110371, 101427, 122, 70141, 29295, 104195, 47884, 20834, 30369, 104865, 110241, 33121, 107515, 1811, 104398, 121867, 110229, 103296, 61304, 125534, 119607, 19732, 112990, 37087, 33014, 16144, 20119, 254, 30512, 112854, 58942, 50834, 33121, 103470, 109020, 105879, 5486, 43568, 37689, 109375, 20230, 18655, 15017, 101, 121507, 39926, 13177, 108870, 106384, 33710, 47307, 118587, 91875, 102351, 103792, 116421, 117840, 9174, 59739, 109709, 5486, 17905, 61304, 20713, 9458, 25963, 15682, 21405, 118124, 15120, 33014, 16144, 109606, 16144, 125396, 29295, 126574, 9174, 103359, 105226, 103306, 15682, 5486, 126843, 87177, 112919, 96356, 117084, 104655, 102532, 64121, 101200, 106046, 61689, 1811, 87177, 30046, 15682, 118969, 75694, 17129, 26854, 21405, 102321, 30512, 78434, 29295, 106116, 13177, 87177, 30046, 125030, 76947, 16144, 59614, 61994, 34171, 118587, 58426, 110674, 104655, 50834, 18655, 30369, 66327, 115690, 5486, 59739, 109709, 108895, 95604, 100909, 32149, 66383, 105994, 26854, 112586, 113954, 54926, 123682, 32977, 5486, 88356, 102321, 54926, 110018, 102052, 87177, 112919, 21405, 102321, 20230, 108385, 31431, 114001, 30297, 1811, 43568, 22649, 20230, 104398, 32149, 47884, 61304, 125534, 119607, 117408, 16144, 126194, 5486, 105755, 87177, 112919, 102616, 109156, 76947, 36896, 26854, 31431, 50834, 76947, 10646, 112854, 107290, 64121, 30369, 9174, 112844, 108680, 112825, 110904, 77181, 26854, 30813, 102131, 119627, 114318, 31431, 30591, 58942, 101860, 114387, 106592, 37689, 109375, 39926, 115541, 108710, 39926, 64121, 33541, 9174, 80539, 1981, 1811, 16995, 85791, 16995, 85791, 102181, 102532, 64121, 79721, 123682, 32977, 5486, 117864, 47884, 9554, 48915, 33121, 32149, 110241, 33121, 107515, 1811, 106649, 23538, 61304, 125534, 29295, 112294, 16995, 55031, 33035, 117735, 15682, 30591, 50834, 33503, 62004, 26854, 65316, 19732, 117952, 106824, 15682, 28713, 17129, 110104, 105879, 117119, 32149, 120267, 117735, 30512, 113727, 47000, 102334, 102677, 112973, 22656, 79785, 125651, 1811, 128001, 128000, 11144, 31634, 28542, 112479, 12, 94983, 104698, 112919, 124305, 101275, 29430, 115287, 198, 12, 102362, 21990, 20230, 21388, 113529, 15682, 5486, 16906, 111, 61994, 19732, 48706, 54926, 198, 12, 220, 113850, 56965, 124911, 21990, 30512, 127696, 100472, 30926, 103350, 15682, 104662, 39926, 33420, 119841, 198, 60358, 27384, 21990, 15120, 95221, 115320, 64121, 102625, 5486, 60868, 105048, 114615, 717, 17792, 102181, 104770, 37705, 111800, 104102, 118, 77062, 226, 105260, 102625, 37729, 107750, 551, 102433, 106613, 111587, 116491, 198, 25197, 26269, 62903, 115320, 64121, 16144, 28873, 38144, 20230, 105268, 30046, 29295, 16937, 101557, 106, 16144, 102625, 30512, 30250, 224, 102639, 30369, 9174, 51330, 117809, 16144, 58721, 29295, 126920, 74482, 30512, 115924, 28713, 100604, 1811, 105464, 16144, 106718, 113146, 15682, 37271, 105755, 101860, 104043, 40265, 115926, 25580, 119775, 25197, 26269, 62903, 115320, 64121, 122291, 15024, 5486, 43568, 22649, 39926, 115320, 17129, 107001, 115789, 43240, 102518, 1811, 118116, 119400, 16144, 121722, 5486, 28713, 53900, 17129, 123429, 101983, 33503, 26854, 32149, 42891, 90620, 76622, 5486, 21601, 104698, 30046, 105352, 101307, 104698, 30046, 105352, 109020, 109755, 33121, 122291, 9174, 51330, 102667, 15682, 5486, 124305, 101275, 29430, 16556, 5486, 121410, 8107, 59614, 101860, 19361, 13372, 107707, 13177, 112318, 105189, 10646, 105621, 71634, 29295, 5486, 17129, 30813, 20230, 45826, 229, 17905, 55031, 123927, 32149, 104369, 30369, 13177, 68759, 107446, 57326, 108748, 78683, 94550, 10646, 29430, 121355, 29295, 19361, 13372, 16556, 106116, 102099, 28308, 241, 102404, 102181, 115226, 26854, 116213, 108005, 118, 33503, 26854, 29430, 121355, 16144, 91875, 55723, 30512, 54846, 16556, 103984, 36735, 112, 112990, 5486, 2243, 121, 32149, 25827, 105791, 16556, 68759, 107446, 57326, 108748, 78683, 94550, 30512, 101427, 122, 36735, 112, 103792, 124305, 101275, 21990, 29295, 39177, 104680, 71493, 127194, 20230, 113487, 32149, 104028, 16144, 125743, 5486, 105464, 29295, 78244, 102334, 16995, 104468, 5486, 114387, 102099, 28308, 241, 102404, 62004, 102334, 48154, 45736, 108323, 16144, 112772, 111476, 107908, 47260, 64178, 102677, 108068, 117434, 30512, 121019, 115320, 17129, 100604, 120266, 127105, 5486, 126843, 37087, 48634, 16556, 101427, 122, 36735, 112, 39926, 102717, 102800, 102677, 100909, 103195, 9174, 62903, 16073, 109713, 61786, 102212, 220, 108044, 108323, 16144, 22398, 70563, 113335, 13177, 17792, 21990, 20230, 21388, 113529, 104309, 48706, 21105, 103, 16995, 10646, 114565, 966, 110895, 60358, 40198, 123, 102667, 124305, 101275, 29430, 482, 13674, 198, 13177, 17792, 21990, 20230, 21388, 113529, 104309, 48706, 21105, 103, 16995, 66383, 13177, 102321, 31640, 16144, 125981, 46729, 10646, 29295, 13177, 124305, 101275, 21990, 20230, 13647, 230, 10646, 100472, 91875, 55723, 9174, 114565, 25963, 68093, 8107, 20713, 25963, 9953, 20230, 60358, 40198, 123, 27384, 106613, 111587, 48864, 34048, 25963, 8107, 103351, 29741, 105466, 112442, 106112, 10110, 107173, 31431, 15682, 71289, 19732, 7705, 98369, 104023, 40265, 39177, 10110, 81191, 7705, 104023, 29295, 57933, 78683, 22398, 60868, 105048, 114615, 115320, 64121, 38093, 16556, 43240, 33857, 16144, 103882, 30512, 15120, 95221, 115320, 64121, 39926, 121993, 56051, 198, 102677, 109335, 5486, 89408, 16144, 124305, 101275, 29430, 15682, 5486, 21601, 104698, 30046, 119012, 58721, 40265, 125344, 61826, 101477, 102, 18, 8107, 21990, 16144, 124305, 101275, 29430, 103351, 113334, 36785, 15024, 5486, 110241, 115320, 103882, 16556, 102625, 104127, 16995, 123207, 5486, 37507, 116358, 124305, 101275, 29430, 102052, 5486, 29741, 105466, 112442, 106112, 121944, 51330, 102667, 16144, 124305, 101275, 21990, 103306, 74843, 32218, 107113, 125396, 29295, 126574, 9174, 114774, 114774, 5486, 17792, 21990, 20230, 21388, 113529, 15682, 5486, 16906, 111, 61994, 19732, 48706, 54926, 16144, 111769, 32149, 9174, 103882, 30512, 122333, 20230, 115320, 104127, 5486, 115320, 105823, 38144, 5486, 112832, 32149, 29295, 102625, 104127, 114604, 114267, 105110, 5486, 101307, 104698, 30046, 15682, 32977, 43514, 85791, 25827, 21601, 104698, 112919, 106718, 98369, 105352, 5486, 104662, 39926, 13821, 111, 33420, 15024, 101983, 110104, 17792, 21990, 16144, 21388, 113529, 29295, 112160, 21990, 59739, 50834, 17129, 78699, 9174, 13177, 39442, 13153, 8107, 115320, 103882, 103351, 33503, 102667, 55031, 117120, 17620, 107001, 66383, 39926, 108057, 105047, 101918, 30512, 127173, 100604, 19732, 104662, 62004, 5486, 23, 17792, 32977, 123532, 100472, 9174, 25333, 109904, 102181, 104770, 37705, 111800, 103378, 111769, 1811, 111412, 45829, 48864, 71493, 108958, 103911, 104874, 101467, 16144, 113850, 56965, 124911, 21990, 30512, 5486, 101923, 67645, 102944, 33563, 96356, 16144, 101399, 20230, 127696, 100472, 30926, 103350, 15682, 5486, 104662, 39926, 33420, 105262, 109335, 100604, 109900, 5486, 17792, 21990, 16144, 21388, 113529, 120572, 101832, 1811, 104405, 78698, 107290, 32977, 9174, 77219, 103732, 104984, 111476, 60868, 105048, 33710, 32943, 16556, 13177, 15682, 76622, 30813, 15024, 66383, 127173, 104028, 75910, 108623, 107734, 198, 29295, 104662, 17129, 106358, 101200, 16556, 115847, 15682, 91939, 225, 107809, 16144, 102944, 30512, 13177, 118328, 32149, 122101, 10646, 107734, 102677, 115552, 108995, 32149, 1811, 91482, 123581, 115320, 103882, 29295, 5486, 111412, 45829, 48864, 71493, 108958, 121606, 16144, 116900, 110706, 111108, 16995, 33710, 64178, 121711, 5486, 108895, 16995, 100472, 107734, 111017, 17620, 106529, 103296, 104662, 17129, 103836, 120266, 5486, 107908, 47260, 64178, 102677, 51385, 95001, 26854, 108068, 117434, 16144, 109755, 85791, 21105, 243, 107407, 1811, 107908, 47260, 64178, 16144, 109755, 119467, 29295, 105268, 30046, 20230, 104378, 84389, 126386, 55031, 36896, 15682, 76622, 30813, 15024, 10646, 26854, 108422, 102677, 102944, 29295, 48706, 54926, 16144, 111769, 32149, 9174, 107908, 47260, 64178, 102677, 117434, 53953, 111363, 43568, 103181, 104874, 30813, 15682, 106222, 109904, 43568, 53283, 55031, 109749, 1811, 115364, 106759, 29295, 5486, 100927, 104599, 29295, 5486, 61826, 101477, 102, 29295, 5486, 107063, 100, 33121, 16144, 19361, 13372, 114754, 5486, 57903, 19732, 30591, 33503, 106644, 30369, 75267, 28190, 127303, 28713, 32149, 32977, 51609, 16144, 53610, 119775, 108385, 31431, 17663, 29295, 30369, 107908, 47260, 64178, 102677, 102944, 29295, 5486, 105268, 16995, 17792, 105352, 5486, 109161, 102676, 119775, 5486, 17129, 30813, 116421, 17792, 21990, 16144, 21388, 113529, 30512, 5486, 101182, 9080, 113938, 122074, 109669, 105784, 115173, 115432, 103195, 106592, 5486, 117864, 47884, 53283, 33503, 84389, 126386, 16144, 103195, 9174, 91482, 123581, 115320, 103882, 15682, 116898, 17129, 32977, 43568, 53283, 104604, 18049, 228, 58942, 20230, 30591, 43514, 22957, 43514, 16144, 111412, 45829, 48864, 71493, 108958, 121606, 123274, 16556, 102404, 21990, 126020, 5486, 100845, 242, 16995, 55031, 112854, 109013, 33503, 17792, 21990, 29295, 15120, 104721, 5486, 108038, 20230, 21388, 113529, 39926, 114732, 115789, 16906, 111, 61994, 19732, 101182, 105272, 113637, 58721, 77181, 112160, 34048, 16144, 106718, 109853, 15682, 116622, 30590, 111800, 20230, 72718, 126014, 30512, 32018, 109315, 13177, 16906, 111, 30358, 117120, 17620, 117503, 37689, 91774, 103296, 47000, 16995, 100481, 38144, 106116, 109161, 105284, 30813, 29295, 125062, 72342, 100604, 9174, 29741, 105466, 112442, 106112 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 110794, 36668, 16556, 56051, 9174, 30813, 17663, 29295, 122543, 56040, 76947, 99750, 64209, 56051, 16144, 38641, 9174, 122571, 5486, 74245, 99750, 16556, 5486, 105321, 19732, 103470, 28190, 101828, 16995, 110162, 28542, 9039, 116825, 76622, 101732, 116233, 9174, 90620, 103984, 36735, 112, 54926, 103378, 105110, 5486, 37087, 61994, 58426, 99750, 112854, 16556, 104712, 119150, 16144, 119627, 111476, 117859, 112984, 123410, 102083, 100472, 107803, 5486, 87177, 29295, 108010, 76947, 50834, 33541, 9174, 117859, 112984, 102351, 16144, 99750, 112854, 16556, 28542, 9039, 116825, 107441, 114732, 19732, 111476, 117859, 112984, 102351, 29295, 124500, 104984, 5486, 112672, 110480, 25129, 32977, 124500, 76947, 114732, 16144, 38641, 9174, 122582, 35417, 50211, 34171, 29295, 33563, 28713, 33121, 107515, 9174, 58426, 103846, 111476, 117859, 112984, 75146, 107253, 102677, 102944, 119279, 49838, 16995, 105352, 48706, 54926, 16144, 38641, 9174, 53900, 5486, 117859, 112984, 102351, 15682, 58426, 117859, 112984, 75146, 107253, 30512, 21105, 96, 107277, 19732, 113954, 103792, 17792, 16556, 100604, 19732, 5486, 102781, 109709, 107515, 9174, 122571, 102781, 109709, 107515, 49838, 198, 122582, 5486, 108502, 104698, 8107, 35330, 72661, 112361, 105908, 78244, 58942, 33541, 9174, 108502, 104698, 8107, 35330, 114475, 76622, 18655, 104028, 32149, 5486, 101682, 76622, 18655, 110615, 32149, 11571, 16144, 103283, 33121, 30832, 15682, 111476, 99849, 19732, 103470, 16556, 117859, 112984, 110731, 113334, 77181, 124897, 9174, 110924, 102052, 5486, 117859, 112984, 75146, 107253, 102677, 102944, 29295, 105184, 111201, 48706, 78434, 9174, 58426, 103846, 106116, 117859, 112984, 75146, 107253, 20230, 117989, 76947, 111476, 108502, 104698, 8107, 35330, 16144, 102782, 109311, 30512, 21105, 103, 16995, 19732, 108502, 104698, 8107, 35330, 114475, 76622, 18655, 110615, 125396, 115991, 33541, 9174, 117859, 112984, 75146, 107253, 30512, 102178, 111665, 103792, 32149, 109768, 100604, 32149, 16556, 5486, 113702, 29295, 119448, 47884, 124500, 76947, 114732, 16144, 38641, 9174, 108502, 104698, 8107, 35330, 16144, 102782, 109311, 123410, 103378, 72661, 27384, 104721, 26854, 110115, 5486, 117859, 112984, 75146, 107253, 30512, 102178, 111665, 54926, 114016, 43568, 22649, 106609, 72661, 51385, 64209, 39926, 72315, 9174, 86127, 105459, 29295, 117859, 112984, 75146, 107253, 30512, 102178, 111665, 127145, 9174, 30591, 112568, 15682, 117859, 112984, 75146, 107253, 30512, 53508, 231, 104195, 54926, 109215, 15682, 124897, 9174, 110241, 37271, 105755, 5486, 108502, 104698, 8107, 35330, 114475, 76622, 18655, 104028, 125396, 30512, 109415, 106956, 106609, 102677, 118733, 127564, 5486, 112371, 104328, 48154, 50021, 111813, 72315, 9174, 48634, 115717, 33541, 9174, 48154, 89046, 117139, 33334, 75293, 43514, 127145, 1811, 128001, 128000, 679, 19, 12, 2545, 12, 966, 109359, 117735, 104575, 20230, 33035, 76947, 17, 8107, 103268, 10110, 20713, 120732, 106307, 50834, 38641, 9174, 114341, 104599, 55031, 101682, 107674, 64467, 112419, 125001, 47884, 59739, 32149, 9174, 15120, 91774, 33035, 117735, 118552, 17905, 16144, 109606, 16556, 5486, 114654, 16144, 75146, 17920, 236, 48634, 16144, 109606, 111769, 116421, 117840, 119520, 5486, 103350, 104983, 102052, 114654, 29295, 86127, 125030, 76947, 48915, 29504, 102158, 10110, 582, 3004, 4221, 7705, 103195, 113009, 13177, 89783, 116664, 10646, 119703, 105908, 113385, 104856, 103836, 104468, 56965, 121953, 124897, 9174, 10634, 120, 198, 108134, 16144, 115232, 15017, 231, 109853, 15682, 108948, 27929, 124749, 25963, 118821, 113385, 107407, 16144, 111769, 32149, 19732, 78698, 107290, 64121, 79721, 9174, 12, 105863, 255, 23538, 61304, 125534, 29295, 16937, 114392, 198, 12, 105432, 252, 102334, 87177, 30512, 110022, 106885, 39926, 114732, 198, 106649, 23538, 61304, 125534, 20230, 67645, 33121, 103378, 110226, 108446, 39926, 108167, 20834, 122101, 32149, 15682, 121568, 104364, 29295, 108008, 20230, 119448, 16995, 117840, 1811, 127880, 107803, 123085, 102158, 16144, 116491, 77219, 72661, 88356, 102321, 10110, 37823, 107420, 99959, 122131, 7705, 29295, 111108, 102800, 19732, 112391, 104533, 50834, 32977, 57903, 33541, 10110, 44915, 112212, 75376, 120117, 115541, 16556, 67645, 33121, 108680, 110137, 102802, 30369, 124233, 107277, 107515, 29295, 5486, 30590, 45893, 20230, 115541, 108710, 30512, 106307, 105784, 67016, 100604, 104865, 110241, 33121, 107515, 1811, 791, 84038, 97718, 77219, 30512, 30868, 247, 98499, 39926, 55031, 88356, 102321, 54926, 115541, 108710, 30512, 25963, 8107, 108680, 121410, 9080, 106307, 107441, 61689, 1811, 118899, 117084, 71289, 71289, 8239, 114503, 125334, 38144, 105898, 117840, 9174, 13177, 104655, 102334, 87177, 30512, 110022, 106885, 39926, 114732, 66383, 95604, 104468, 5486, 101544, 116358, 114435, 114731, 102781, 16556, 198, 13177, 16556, 108048, 15682, 59739, 109709, 104405, 95604, 100909, 91006, 198, 102677, 104655, 50834, 24273, 9458, 113727, 24273, 29295, 108208, 64121, 59739, 16995, 100481, 120550, 100909, 1811, 87177, 30046, 20230, 112427, 103350, 20230, 88356, 102321, 109768, 119064, 126194, 111476, 13177, 16995, 85791, 16995, 85791, 78244, 113017, 107493, 5486, 17129, 30591, 5486, 59739, 109709, 108895, 95604, 100909, 111329, 19732, 13177, 123011, 109013, 29295, 30369, 117503, 111769, 32149, 19732, 1981, 1811, 106649, 23538, 61304, 125534, 29295, 112294, 28542, 26854, 105879, 110371, 101427, 122, 70141, 29295, 104195, 47884, 20834, 30369, 104865, 110241, 33121, 107515, 1811, 104398, 121867, 110229, 103296, 61304, 125534, 119607, 19732, 112990, 37087, 33014, 16144, 20119, 254, 30512, 112854, 58942, 50834, 33121, 103470, 109020, 105879, 5486, 43568, 37689, 109375, 20230, 18655, 15017, 101, 121507, 39926, 13177, 108870, 106384, 33710, 47307, 118587, 91875, 102351, 103792, 116421, 117840, 9174, 59739, 109709, 5486, 17905, 61304, 20713, 9458, 25963, 15682, 21405, 118124, 15120, 33014, 16144, 109606, 16144, 125396, 29295, 126574, 9174, 103359, 105226, 103306, 15682, 5486, 126843, 87177, 112919, 96356, 117084, 104655, 102532, 64121, 101200, 106046, 61689, 1811, 87177, 30046, 15682, 118969, 75694, 17129, 26854, 21405, 102321, 30512, 78434, 29295, 106116, 13177, 87177, 30046, 125030, 76947, 16144, 59614, 61994, 34171, 118587, 58426, 110674, 104655, 50834, 18655, 30369, 66327, 115690, 5486, 59739, 109709, 108895, 95604, 100909, 32149, 66383, 105994, 26854, 112586, 113954, 54926, 123682, 32977, 5486, 88356, 102321, 54926, 110018, 102052, 87177, 112919, 21405, 102321, 20230, 108385, 31431, 114001, 30297, 1811, 43568, 22649, 20230, 104398, 32149, 47884, 61304, 125534, 119607, 117408, 16144, 126194, 5486, 105755, 87177, 112919, 102616, 109156, 76947, 36896, 26854, 31431, 50834, 76947, 10646, 112854, 107290, 64121, 30369, 9174, 112844, 108680, 112825, 110904, 77181, 26854, 30813, 102131, 119627, 114318, 31431, 30591, 58942, 101860, 114387, 106592, 37689, 109375, 39926, 115541, 108710, 39926, 64121, 33541, 9174, 80539, 1981, 1811, 16995, 85791, 16995, 85791, 102181, 102532, 64121, 79721, 123682, 32977, 5486, 117864, 47884, 9554, 48915, 33121, 32149, 110241, 33121, 107515, 1811, 106649, 23538, 61304, 125534, 29295, 112294, 16995, 55031, 33035, 117735, 15682, 30591, 50834, 33503, 62004, 26854, 65316, 19732, 117952, 106824, 15682, 28713, 17129, 110104, 105879, 117119, 32149, 120267, 117735, 30512, 113727, 47000, 102334, 102677, 112973, 22656, 79785, 125651, 1811, 128001, 128000, 11144, 31634, 28542, 112479, 12, 94983, 104698, 112919, 124305, 101275, 29430, 115287, 198, 12, 102362, 21990, 20230, 21388, 113529, 15682, 5486, 16906, 111, 61994, 19732, 48706, 54926, 198, 12, 220, 113850, 56965, 124911, 21990, 30512, 127696, 100472, 30926, 103350, 15682, 104662, 39926, 33420, 119841, 198, 60358, 27384, 21990, 15120, 95221, 115320, 64121, 102625, 5486, 60868, 105048, 114615, 717, 17792, 102181, 104770, 37705, 111800, 104102, 118, 77062, 226, 105260, 102625, 37729, 107750, 551, 102433, 106613, 111587, 116491, 198, 25197, 26269, 62903, 115320, 64121, 16144, 28873, 38144, 20230, 105268, 30046, 29295, 16937, 101557, 106, 16144, 102625, 30512, 30250, 224, 102639, 30369, 9174, 51330, 117809, 16144, 58721, 29295, 126920, 74482, 30512, 115924, 28713, 100604, 1811, 105464, 16144, 106718, 113146, 15682, 37271, 105755, 101860, 104043, 40265, 115926, 25580, 119775, 25197, 26269, 62903, 115320, 64121, 122291, 15024, 5486, 43568, 22649, 39926, 115320, 17129, 107001, 115789, 43240, 102518, 1811, 118116, 119400, 16144, 121722, 5486, 28713, 53900, 17129, 123429, 101983, 33503, 26854, 32149, 42891, 90620, 76622, 5486, 21601, 104698, 30046, 105352, 101307, 104698, 30046, 105352, 109020, 109755, 33121, 122291, 9174, 51330, 102667, 15682, 5486, 124305, 101275, 29430, 16556, 5486, 121410, 8107, 59614, 101860, 19361, 13372, 107707, 13177, 112318, 105189, 10646, 105621, 71634, 29295, 5486, 17129, 30813, 20230, 45826, 229, 17905, 55031, 123927, 32149, 104369, 30369, 13177, 68759, 107446, 57326, 108748, 78683, 94550, 10646, 29430, 121355, 29295, 19361, 13372, 16556, 106116, 102099, 28308, 241, 102404, 102181, 115226, 26854, 116213, 108005, 118, 33503, 26854, 29430, 121355, 16144, 91875, 55723, 30512, 54846, 16556, 103984, 36735, 112, 112990, 5486, 2243, 121, 32149, 25827, 105791, 16556, 68759, 107446, 57326, 108748, 78683, 94550, 30512, 101427, 122, 36735, 112, 103792, 124305, 101275, 21990, 29295, 39177, 104680, 71493, 127194, 20230, 113487, 32149, 104028, 16144, 125743, 5486, 105464, 29295, 78244, 102334, 16995, 104468, 5486, 114387, 102099, 28308, 241, 102404, 62004, 102334, 48154, 45736, 108323, 16144, 112772, 111476, 107908, 47260, 64178, 102677, 108068, 117434, 30512, 121019, 115320, 17129, 100604, 120266, 127105, 5486, 126843, 37087, 48634, 16556, 101427, 122, 36735, 112, 39926, 102717, 102800, 102677, 100909, 103195, 9174, 62903, 16073, 109713, 61786, 102212, 220, 108044, 108323, 16144, 22398, 70563, 113335, 13177, 17792, 21990, 20230, 21388, 113529, 104309, 48706, 21105, 103, 16995, 10646, 114565, 966, 110895, 60358, 40198, 123, 102667, 124305, 101275, 29430, 482, 13674, 198, 13177, 17792, 21990, 20230, 21388, 113529, 104309, 48706, 21105, 103, 16995, 66383, 13177, 102321, 31640, 16144, 125981, 46729, 10646, 29295, 13177, 124305, 101275, 21990, 20230, 13647, 230, 10646, 100472, 91875, 55723, 9174, 114565, 25963, 68093, 8107, 20713, 25963, 9953, 20230, 60358, 40198, 123, 27384, 106613, 111587, 48864, 34048, 25963, 8107, 103351, 29741, 105466, 112442, 106112, 10110, 107173, 31431, 15682, 71289, 19732, 7705, 98369, 104023, 40265, 39177, 10110, 81191, 7705, 104023, 29295, 57933, 78683, 22398, 60868, 105048, 114615, 115320, 64121, 38093, 16556, 43240, 33857, 16144, 103882, 30512, 15120, 95221, 115320, 64121, 39926, 121993, 56051, 198, 102677, 109335, 5486, 89408, 16144, 124305, 101275, 29430, 15682, 5486, 21601, 104698, 30046, 119012, 58721, 40265, 125344, 61826, 101477, 102, 18, 8107, 21990, 16144, 124305, 101275, 29430, 103351, 113334, 36785, 15024, 5486, 110241, 115320, 103882, 16556, 102625, 104127, 16995, 123207, 5486, 37507, 116358, 124305, 101275, 29430, 102052, 5486, 29741, 105466, 112442, 106112, 121944, 51330, 102667, 16144, 124305, 101275, 21990, 103306, 74843, 32218, 107113, 125396, 29295, 126574, 9174, 114774, 114774, 5486, 17792, 21990, 20230, 21388, 113529, 15682, 5486, 16906, 111, 61994, 19732, 48706, 54926, 16144, 111769, 32149, 9174, 103882, 30512, 122333, 20230, 115320, 104127, 5486, 115320, 105823, 38144, 5486, 112832, 32149, 29295, 102625, 104127, 114604, 114267, 105110, 5486, 101307, 104698, 30046, 15682, 32977, 43514, 85791, 25827, 21601, 104698, 112919, 106718, 98369, 105352, 5486, 104662, 39926, 13821, 111, 33420, 15024, 101983, 110104, 17792, 21990, 16144, 21388, 113529, 29295, 112160, 21990, 59739, 50834, 17129, 78699, 9174, 13177, 39442, 13153, 8107, 115320, 103882, 103351, 33503, 102667, 55031, 117120, 17620, 107001, 66383, 39926, 108057, 105047, 101918, 30512, 127173, 100604, 19732, 104662, 62004, 5486, 23, 17792, 32977, 123532, 100472, 9174, 25333, 109904, 102181, 104770, 37705, 111800, 103378, 111769, 1811, 111412, 45829, 48864, 71493, 108958, 103911, 104874, 101467, 16144, 113850, 56965, 124911, 21990, 30512, 5486, 101923, 67645, 102944, 33563, 96356, 16144, 101399, 20230, 127696, 100472, 30926, 103350, 15682, 5486, 104662, 39926, 33420, 105262, 109335, 100604, 109900, 5486, 17792, 21990, 16144, 21388, 113529, 120572, 101832, 1811, 104405, 78698, 107290, 32977, 9174, 77219, 103732, 104984, 111476, 60868, 105048, 33710, 32943, 16556, 13177, 15682, 76622, 30813, 15024, 66383, 127173, 104028, 75910, 108623, 107734, 198, 29295, 104662, 17129, 106358, 101200, 16556, 115847, 15682, 91939, 225, 107809, 16144, 102944, 30512, 13177, 118328, 32149, 122101, 10646, 107734, 102677, 115552, 108995, 32149, 1811, 91482, 123581, 115320, 103882, 29295, 5486, 111412, 45829, 48864, 71493, 108958, 121606, 16144, 116900, 110706, 111108, 16995, 33710, 64178, 121711, 5486, 108895, 16995, 100472, 107734, 111017, 17620, 106529, 103296, 104662, 17129, 103836, 120266, 5486, 107908, 47260, 64178, 102677, 51385, 95001, 26854, 108068, 117434, 16144, 109755, 85791, 21105, 243, 107407, 1811, 107908, 47260, 64178, 16144, 109755, 119467, 29295, 105268, 30046, 20230, 104378, 84389, 126386, 55031, 36896, 15682, 76622, 30813, 15024, 10646, 26854, 108422, 102677, 102944, 29295, 48706, 54926, 16144, 111769, 32149, 9174, 107908, 47260, 64178, 102677, 117434, 53953, 111363, 43568, 103181, 104874, 30813, 15682, 106222, 109904, 43568, 53283, 55031, 109749, 1811, 115364, 106759, 29295, 5486, 100927, 104599, 29295, 5486, 61826, 101477, 102, 29295, 5486, 107063, 100, 33121, 16144, 19361, 13372, 114754, 5486, 57903, 19732, 30591, 33503, 106644, 30369, 75267, 28190, 127303, 28713, 32149, 32977, 51609, 16144, 53610, 119775, 108385, 31431, 17663, 29295, 30369, 107908, 47260, 64178, 102677, 102944, 29295, 5486, 105268, 16995, 17792, 105352, 5486, 109161, 102676, 119775, 5486, 17129, 30813, 116421, 17792, 21990, 16144, 21388, 113529, 30512, 5486, 101182, 9080, 113938, 122074, 109669, 105784, 115173, 115432, 103195, 106592, 5486, 117864, 47884, 53283, 33503, 84389, 126386, 16144, 103195, 9174, 91482, 123581, 115320, 103882, 15682, 116898, 17129, 32977, 43568, 53283, 104604, 18049, 228, 58942, 20230, 30591, 43514, 22957, 43514, 16144, 111412, 45829, 48864, 71493, 108958, 121606, 123274, 16556, 102404, 21990, 126020, 5486, 100845, 242, 16995, 55031, 112854, 109013, 33503, 17792, 21990, 29295, 15120, 104721, 5486, 108038, 20230, 21388, 113529, 39926, 114732, 115789, 16906, 111, 61994, 19732, 101182, 105272, 113637, 58721, 77181, 112160, 34048, 16144, 106718, 109853, 15682, 116622, 30590, 111800, 20230, 72718, 126014, 30512, 32018, 109315, 13177, 16906, 111, 30358, 117120, 17620, 117503, 37689, 91774, 103296, 47000, 16995, 100481, 38144, 106116, 109161, 105284, 30813, 29295, 125062, 72342, 100604, 9174, 29741, 105466, 112442, 106112 ]
[ 121944, 124305, 101275, 54926, 116497, 103351, 37507, 116358, 51330, 102667, 16144, 124305, 101275, 29430, 16556, 110371, 102667, 29295, 99849, 30512, 112844, 32149, 5486, 121722, 28741, 111201, 26130, 30832, 103792, 9174, 11144, 62903, 25005, 107, 65575, 112479, 12, 118830, 40198, 123, 102667, 198, 12, 102362, 21990, 198, 12, 49854, 228, 32149, 198, 12, 67621, 240, 101275, 29430, 198, 12, 220, 113850, 56965, 198, 12, 104351, 111, 61994, 198, 12, 113202, 71289, 114774, 198, 12, 108295, 76622, 30813, 15024, 128001, 128000, 2, 34676, 100525, 232, 101310, 254, 74482, 23538, 120650, 105262, 117401, 11199, 107118, 104926, 115592, 102756, 67075, 15682, 23039, 114598, 27384, 121313, 95532, 30832, 33671, 198, 90115, 106609, 9023, 13, 20251, 44971, 118928, 94550, 106982, 47307, 78683, 103906, 20251, 44971, 118928, 94550, 118482, 34048, 113160, 49988, 30046, 5486, 103271, 119283, 38641, 106609, 122571, 102433, 16144, 117745, 104575, 124305, 101275, 74482, 115132, 114740, 20230, 110968, 31431, 115132, 114740, 16556, 107253, 103242, 109519, 103087, 35083, 103195, 198, 45, 4586, 12, 835, 34, 10110, 37087, 73361, 39880, 116756, 103906, 48552, 20251, 44971, 109793, 106240, 108975, 38093, 104736, 23187, 20251, 44971, 109793, 11972, 8, 30512, 115181, 15024, 5486, 112599, 32977, 80805, 38248, 121, 115307, 108613, 44971, 109793, 11972, 117824, 26854, 76947, 108086, 33541, 118844, 103296, 5486, 1041, 17792, 71689, 16144, 100525, 232, 122924, 98369, 71289, 106518, 74482, 120332, 30512, 60868, 121057, 107726, 100481, 90620, 119188, 127880, 53283, 109375, 71289, 106613, 111186, 55031, 77219, 30512, 102181, 102532, 108086, 33541, 105879, 120953, 108422, 114626, 103296, 48154, 111182, 72315, 9174, 2, 120066, 232, 101310, 254, 74482, 23538, 120650, 105262, 117401, 107118, 198, 117382, 16144, 77219, 5486, 100525, 232, 101310, 254, 85707, 23538, 16144, 117401, 109853, 33334, 108044, 58942, 121256, 29295, 115515, 18904, 15682, 100525, 232, 101310, 254, 74482, 23538, 122692, 111006, 71289, 117401, 16144, 100909, 5486, 114652, 104655, 32149, 104028, 105284, 99397, 109853, 50338, 108323, 30512, 78434, 3490, 100525, 232, 101310, 254, 74482, 23538, 15682, 5486, 100525, 232, 101310, 254, 16325, 23538, 9458, 51385, 23187, 23538, 23897, 104989, 19732, 57106, 115694, 5486, 102395, 109431, 20230, 103350, 102923, 108608, 117401, 29295, 83747, 103470, 109020, 101427, 122, 70141, 20230, 57903, 33541, 1811, 66378, 20230, 100525, 232, 101310, 254, 24, 113746, 103268, 10110, 1644, 12, 1958, 111299, 7705, 23897, 104989, 15682, 5486, 64121, 108422, 33334, 43514, 120938, 71289, 110135, 114457, 41642, 31431, 111363, 121819, 117598, 30512, 104195, 47884, 112391, 30369, 115789, 57903, 5486, 23018, 102769, 33121, 15024, 126172, 16995, 5486, 102478, 97518, 107792, 71289, 115519, 16144, 108010, 34208, 99750, 125334, 104533, 112844, 100525, 232, 122924, 98369, 32977, 61689, 9174, 2118, 100525, 232, 101310, 254, 16325, 56040, 106518, 74482, 113245, 64209, 96356, 16144, 104721, 33208, 15682, 5486, 102717, 109416, 1041, 113127, 16144, 105184, 96455, 16556, 125119, 30369, 89874, 51330, 104466, 78698, 107290, 33334, 76622, 81219, 5486, 100525, 232, 101310, 254, 85707, 23538, 16144, 59739, 116547, 111848, 33014, 104873, 16937, 103424, 5486, 100525, 232, 101310, 254, 74482, 23538, 56040, 106518, 74482, 122692, 64209, 96356, 16144, 16937, 104873, 15682, 99849, 123772, 33503, 125119, 104533, 101067, 23187, 15024, 126172, 16995, 106046, 61689, 9174, 112371, 104328, 5486, 100525, 232, 101310, 254, 123410, 123628, 39177, 23538, 55031, 5486, 48154, 116907, 16144, 113614, 19732, 104654, 108710, 101557, 96, 109853, 113727, 100481, 90620, 105898, 16995, 38641, 9174, 567, 120066, 232, 101310, 254, 74482, 23538, 16144, 121894, 15682, 11571, 11144, 64209, 96356, 16144, 104721, 33208, 112479, 100525, 232, 101310, 254, 74482, 23538, 10110, 56040, 106518, 74482, 7705, 20230, 125119, 30369, 104721, 33208, 112212, 5486, 64209, 96356, 111363, 117375, 125334, 30369, 106592, 78698, 101557, 106, 39926, 33334, 102334, 118881, 29295, 126521, 38641, 120234, 104873, 19732, 58426, 113385, 30512, 112825, 110904, 20230, 123011, 62004, 104533, 90578, 9458, 45829, 106496, 9458, 118480, 116581, 16144, 102404, 101662, 111848, 5486, 26274, 241, 32648, 16144, 121819, 117598, 71289, 110137, 105714, 198, 23018, 102769, 33121, 198, 126017, 32977, 33121, 198, 102924, 109243, 198, 106142, 58942, 9458, 104004, 47884, 64121, 198, 33334, 113351, 29295, 105714, 31431, 126172, 16995, 198, 9458, 45829, 106496, 9458, 118480, 116581, 16144, 102404, 101662, 111848, 5486, 33014, 25287, 9458, 110783, 110095, 16144, 104721, 33208, 64780, 16, 84499, 19, 198, 59739, 126843, 50834, 126172, 16995, 5486, 105564, 111044, 29295, 31809, 30813, 47884, 109020, 198, 102780, 24186, 29295, 91774, 58942, 109669, 110706, 198, 114948, 22957, 31431, 9458, 115519, 108631, 198, 9458, 111482, 103927, 33710, 124373, 17620, 14888, 234, 33857, 16144, 104721, 33208, 10110, 100525, 232, 101310, 254, 16325, 56040, 106518, 74482, 7705, 64780, 17, 198, 25197, 102803, 32131, 5486, 120175, 121423, 5486, 127408, 99750, 198, 102099, 124615, 99750, 16144, 103167, 17297, 198, 113136, 120379, 16144, 109606, 198, 9458, 104473, 107654, 33857, 19732, 13153, 17620, 111017, 40862, 16144, 104721, 33208, 64780, 18, 198, 91875, 101128, 116, 198, 117355, 27479, 16144, 80631, 100, 104473, 198, 100525, 232, 122924, 98369, 113468, 16937, 104873, 16144, 104091, 104770, 9458, 113314, 16144, 104364, 15682, 30591, 33121, 5486, 112832, 20230, 72661, 125119, 30369, 125396, 16144, 101182, 109606, 38641, 9174, 85701, 120577, 16937, 104873, 30512, 78698, 101557, 106, 15024, 5486, 100525, 232, 101310, 254, 74482, 23538, 16144, 117401, 122692, 120098, 30512, 123011, 107436, 64121, 79721, 9174, 14711, 120066, 232, 101310, 254, 74482, 23538, 16144, 117401, 122692, 120098, 198, 9458, 33334, 113351, 16144, 105714, 31431, 5486, 110135, 114457, 41642, 111331, 108010, 34208, 99750, 20230, 61633, 54926, 198, 66378, 20230, 100525, 232, 101310, 254, 74482, 23538, 23897, 104989, 15682, 108948, 113351, 29295, 119448, 47884, 109020, 107294, 106824, 108948, 113351, 71289, 102478, 97518, 107792, 41642, 116310, 30512, 91875, 32149, 21105, 98, 33503, 115737, 31431, 5486, 121755, 70141, 76622, 16144, 110783, 110095, 5486, 116826, 29295, 64121, 5486, 33014, 30512, 104328, 101832, 30369, 117401, 16556, 108948, 113351, 71289, 110135, 114457, 41642, 112586, 127408, 30512, 112854, 105262, 115789, 57903, 33541, 9174, 51330, 105933, 39177, 102052, 5486, 20251, 44971, 109793, 11972, 9458, 76171, 71634, 119539, 102514, 98369, 55031, 5486, 112361, 117401, 72661, 108010, 34208, 99750, 30512, 111098, 76622, 106272, 5486, 102395, 109431, 120650, 105262, 91875, 19967, 16144, 47260, 103223, 30512, 100927, 107290, 32977, 33503, 30297, 112973, 102832, 71634, 38641, 9174, 9458, 105047, 26854, 110783, 110095, 122489, 30512, 83747, 103470, 54926, 198, 103605, 31431, 55031, 118013, 115442, 30369, 5486, 121755, 70141, 76622, 55031, 72718, 50834, 115442, 30369, 5486, 102083, 100472, 110783, 110095, 16144, 122489, 15682, 5486, 25580, 43032, 56051, 108010, 34208, 99750, 125334, 126172, 16995, 120266, 21601, 107290, 5486, 72718, 80195, 34171, 103167, 104473, 121819, 10110, 101171, 111, 80631, 100, 104473, 1811, 118013, 126910, 64121, 123160, 111571, 103397, 125334, 30369, 7705, 30512, 113801, 125119, 15024, 126172, 16995, 38641, 1811, 111571, 103397, 125334, 126172, 47884, 95221, 117657, 100525, 232, 122924, 117940, 5486, 80195, 100472, 9458, 103605, 100472, 9458, 121120, 28713, 17129, 103296, 117401, 30512, 103350, 102923, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 567, 120066, 232, 101310, 254, 74482, 23538, 107898, 125683, 62004, 54926, 117401, 19732, 58426, 71289, 31431, 24273, 198, 100525, 232, 101310, 254, 25580, 55031, 117401, 30512, 108710, 101557, 96, 20230, 107113, 24273, 16556, 5486, 100525, 232, 101310, 254, 74482, 23538, 16556, 91763, 30297, 104466, 91875, 76622, 123733, 100472, 5486, 33014, 16144, 16937, 104873, 30512, 112391, 30369, 101200, 110276, 5486, 102677, 126390, 104655, 47884, 105908, 57903, 33541, 9174, 124981, 38248, 255, 94550, 15682, 5486, 100525, 232, 101310, 254, 117232, 37087, 104322, 16556, 33334, 125683, 62004, 125545, 29295, 5486, 100525, 232, 101310, 254, 74482, 23538, 77181, 102478, 97518, 107792, 9458, 110135, 114457, 41642, 116310, 16144, 91875, 50834, 20230, 44416, 48249, 125334, 126172, 16995, 38641, 9174, 37271, 103296, 33035, 112586, 91875, 124324, 5486, 117401, 15682, 107202, 46034, 125743, 127091, 117401, 126198, 16995, 119150, 110018, 15682, 5486, 88852, 120950, 106592, 111800, 118219, 39926, 64121, 38144, 72315, 9174, 9458, 124981, 38248, 255, 94550, 30512, 112990, 95221, 109972, 124059, 5486, 107691, 16995, 53953, 5486, 123044, 16144, 107471, 105564, 5486, 48915, 20834, 59739, 117201, 114715, 107471, 105564, 54926, 113314, 16144, 117355, 16995, 120208, 16556, 27704, 109315, 198, 27452, 116285, 93056, 107471, 105564, 117158, 32149, 105784, 112772, 100815, 109913, 107290, 5486, 107271, 106240, 30512, 123259, 47884, 109900, 55031, 20, 17620, 103378, 105564, 47884, 863, 72661, 106391, 16995, 107515, 9174, 95221, 109972, 76947, 45736, 120195, 30369, 30832, 105888, 30512, 121697, 30369, 52118, 77693, 29295, 118765, 52118, 118765, 105994, 29295, 115389, 117084, 120175, 104526, 104004, 198, 102677, 115789, 101182, 105879, 5486, 66378, 20230, 117401, 20230, 107202, 46034, 37689, 109375, 107407, 24273, 15682, 5486, 119869, 15682, 19732, 112649, 47884, 112825, 110904, 26854, 30832, 105888, 30512, 116700, 39926, 108048, 30512, 108710, 101557, 96, 116446, 72315, 9174, 9458, 33014, 29295, 30358, 47884, 38144, 91875, 50834, 109669, 110706, 110018, 15682, 5486, 112673, 102472, 19732, 53610, 126503, 32977, 106081, 39926, 64121, 30369, 198, 68759, 47307, 78683, 103906, 112673, 102472, 16144, 8239, 114503, 114556, 39926, 15682, 111476, 565, 117896, 16144, 77219, 565, 126130, 98499, 64121, 16995, 90620, 118145, 106046, 61689, 3490, 68759, 47307, 78683, 103906, 22398, 25197, 101198, 94550, 32977, 19361, 108602, 72238, 117401, 115717, 33541, 29295, 5486, 124981, 38248, 255, 94550, 19732, 57106, 103854, 104533, 5486, 53610, 16325, 16556, 111006, 112649, 117295, 111179, 48634, 9458, 53610, 121819, 111848, 5486, 104004, 47884, 64121, 117355, 114485, 19732, 97518, 107792, 111363, 109972, 106529, 30512, 114485, 33503, 17663, 8239, 114503, 29295, 125494, 125545, 9174, 53900, 5486, 102478, 97518, 107792, 9458, 110135, 114457, 41642, 116310, 16144, 91875, 50834, 109669, 124749, 109020, 100525, 232, 101310, 254, 74482, 23538, 15682, 5486, 117401, 112772, 85701, 55031, 126362, 54926, 5486, 102756, 114265, 115592, 102756, 67075, 117824, 76947, 64121, 38144, 72315, 9174, 9458, 102756, 114265, 115592, 102756, 67075, 198, 118075, 198, 110176, 102780, 125523, 102532, 80195, 59739, 10110, 102780, 111044, 5232, 32149, 32149, 19732, 29295, 114948, 111044, 105755, 108285, 47884, 5486, 59739, 17129, 61826, 30512, 1399, 11877, 48915, 102416, 87447, 47884, 23954, 119560, 198, 110176, 112909, 102478, 97518, 107792, 20230, 40265, 38144, 38144, 108948, 16175, 119, 30512, 74482, 102416, 113801, 106272, 5486, 17905, 33014, 30512, 102478, 97518, 107792, 55031, 25580, 102416, 101427, 122, 107441, 116826, 29295, 104004, 10110, 33334, 16175, 119, 29295, 104735, 251, 105755, 114715, 126574, 5486, 104735, 251, 19732, 112361, 45736, 30813, 120264, 103296, 23954, 126892, 198, 102478, 97518, 107792, 55031, 33334, 16175, 119, 30512, 25580, 102416, 37705, 31431, 121216, 5486, 17129, 42891, 114225, 118013, 115442, 104533, 50834, 107898, 16175, 119, 30512, 126233, 109315, 198, 115592, 102756, 67075, 16144, 8239, 114503, 114556, 39926, 15682, 111476, 565, 117896, 16144, 77219, 565, 126130, 98499, 64121, 72315, 18171, 567, 120066, 232, 101310, 254, 74482, 23538, 16556, 114652, 101182, 105284, 99397, 198, 17297, 61304, 20230, 100525, 232, 101310, 254, 74482, 23538, 16556, 114652, 33334, 65854, 103826, 20230, 104655, 32149, 104028, 105284, 99397, 30512, 123011, 107436, 61689, 9174, 14711, 120066, 232, 101310, 254, 74482, 23538, 16144, 117401, 9458, 20251, 44971, 118928, 94550, 15682, 108064, 119400, 103296, 106307, 76622, 102204, 33541, 32149, 95532, 1987, 12, 1272, 111299, 30832, 103296, 5486, 106518, 123628, 20251, 44971, 118928, 94550, 30512, 106307, 76622, 110071, 24273, 29295, 127181, 38641, 9174, 103350, 27452, 77181, 90578, 106518, 105677, 109156, 30369, 107507, 101198, 94550, 16556, 70349, 112454, 31431, 123410, 10110, 100525, 232, 101310, 254, 1806, 12, 1987, 111299, 30832, 103296, 23954, 33334, 103242, 30046, 103826, 55031, 5486, 100525, 232, 101310, 254, 1806, 111299, 30832, 23897, 104989, 15682, 67645, 124592, 25827, 91875, 102532, 102717, 102800, 19732, 117952, 103468, 10110, 100525, 232, 101310, 254, 1272, 111299, 30832, 9458, 20834, 106518, 17, 9080, 25580, 103296, 23954, 102677, 115789, 57903, 79721, 9174, 9023, 13, 20251, 44971, 118928, 94550, 77181, 5486, 20834, 106518, 56965, 60358, 16144, 6708, 228, 103550, 10110, 105150, 53610, 71289, 123717, 108631, 7705, 125334, 126386, 25580, 29172, 16556, 5486, 100525, 232, 122924, 98369, 22656, 17792, 55031, 117401, 126198, 16995, 102677, 37689, 70141, 126130, 104655, 50834, 56051, 110018, 15682, 108948, 111006, 16144, 127749, 20230, 114146, 28713, 20251, 44971, 118928, 94550, 39850, 78683, 109496, 30512, 29172, 81742, 127145, 9174, 14711, 220, 106518, 123470, 117401, 9458, 20251, 44971, 118928, 94550, 15682, 108064, 55031, 88356, 87447, 125545, 32149, 95532, 33014, 104873, 29295, 103424, 118145, 5486, 106518, 123470, 17701, 94923, 16325, 55031, 123601, 35083, 109904, 117401, 109095, 112454, 15682, 5486, 106518, 74482, 16, 113746, 111800, 120761, 29295, 105721, 78183, 76947, 55031, 126130, 125683, 62004, 127145, 9174, 68759, 47307, 78683, 103906, 20251, 44971, 118928, 94550, 114475, 76622, 100934, 33334, 65854, 103826, 102052, 5486, 106518, 123470, 17701, 94923, 16325, 55031, 108608, 112825, 110904, 26854, 117401, 126130, 108044, 58942, 39926, 33541, 1811, 106518, 74482, 16, 113746, 111800, 120761, 16556, 5486, 66378, 20230, 108901, 40053, 29295, 114181, 102204, 123207, 5486, 117401, 109095, 112454, 30512, 111800, 118219, 120837, 126521, 38641, 9174, 90620, 5486, 106518, 106782, 98, 23538, 10110, 106518, 74482, 21, 12, 23, 111299, 56965, 119735, 5486, 100525, 232, 122924, 98369, 116907, 32977, 114392, 15682, 105677, 113598, 19732, 5486, 127032, 29295, 107991, 104654, 117501, 20230, 101557, 96, 104028, 105908, 107693, 38641, 9174, 105994, 116907, 32977, 113614, 16556, 107991, 113009, 5486, 48154, 122013, 16144, 60868, 121057, 5486, 127032, 30512, 113838, 105784, 9458, 33014, 16144, 102663, 39880, 114475, 76622 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 121944, 124305, 101275, 54926, 116497, 103351, 37507, 116358, 51330, 102667, 16144, 124305, 101275, 29430, 16556, 110371, 102667, 29295, 99849, 30512, 112844, 32149, 5486, 121722, 28741, 111201, 26130, 30832, 103792, 9174, 11144, 62903, 25005, 107, 65575, 112479, 12, 118830, 40198, 123, 102667, 198, 12, 102362, 21990, 198, 12, 49854, 228, 32149, 198, 12, 67621, 240, 101275, 29430, 198, 12, 220, 113850, 56965, 198, 12, 104351, 111, 61994, 198, 12, 113202, 71289, 114774, 198, 12, 108295, 76622, 30813, 15024, 128001, 128000, 2, 34676, 100525, 232, 101310, 254, 74482, 23538, 120650, 105262, 117401, 11199, 107118, 104926, 115592, 102756, 67075, 15682, 23039, 114598, 27384, 121313, 95532, 30832, 33671, 198, 90115, 106609, 9023, 13, 20251, 44971, 118928, 94550, 106982, 47307, 78683, 103906, 20251, 44971, 118928, 94550, 118482, 34048, 113160, 49988, 30046, 5486, 103271, 119283, 38641, 106609, 122571, 102433, 16144, 117745, 104575, 124305, 101275, 74482, 115132, 114740, 20230, 110968, 31431, 115132, 114740, 16556, 107253, 103242, 109519, 103087, 35083, 103195, 198, 45, 4586, 12, 835, 34, 10110, 37087, 73361, 39880, 116756, 103906, 48552, 20251, 44971, 109793, 106240, 108975, 38093, 104736, 23187, 20251, 44971, 109793, 11972, 8, 30512, 115181, 15024, 5486, 112599, 32977, 80805, 38248, 121, 115307, 108613, 44971, 109793, 11972, 117824, 26854, 76947, 108086, 33541, 118844, 103296, 5486, 1041, 17792, 71689, 16144, 100525, 232, 122924, 98369, 71289, 106518, 74482, 120332, 30512, 60868, 121057, 107726, 100481, 90620, 119188, 127880, 53283, 109375, 71289, 106613, 111186, 55031, 77219, 30512, 102181, 102532, 108086, 33541, 105879, 120953, 108422, 114626, 103296, 48154, 111182, 72315, 9174, 2, 120066, 232, 101310, 254, 74482, 23538, 120650, 105262, 117401, 107118, 198, 117382, 16144, 77219, 5486, 100525, 232, 101310, 254, 85707, 23538, 16144, 117401, 109853, 33334, 108044, 58942, 121256, 29295, 115515, 18904, 15682, 100525, 232, 101310, 254, 74482, 23538, 122692, 111006, 71289, 117401, 16144, 100909, 5486, 114652, 104655, 32149, 104028, 105284, 99397, 109853, 50338, 108323, 30512, 78434, 3490, 100525, 232, 101310, 254, 74482, 23538, 15682, 5486, 100525, 232, 101310, 254, 16325, 23538, 9458, 51385, 23187, 23538, 23897, 104989, 19732, 57106, 115694, 5486, 102395, 109431, 20230, 103350, 102923, 108608, 117401, 29295, 83747, 103470, 109020, 101427, 122, 70141, 20230, 57903, 33541, 1811, 66378, 20230, 100525, 232, 101310, 254, 24, 113746, 103268, 10110, 1644, 12, 1958, 111299, 7705, 23897, 104989, 15682, 5486, 64121, 108422, 33334, 43514, 120938, 71289, 110135, 114457, 41642, 31431, 111363, 121819, 117598, 30512, 104195, 47884, 112391, 30369, 115789, 57903, 5486, 23018, 102769, 33121, 15024, 126172, 16995, 5486, 102478, 97518, 107792, 71289, 115519, 16144, 108010, 34208, 99750, 125334, 104533, 112844, 100525, 232, 122924, 98369, 32977, 61689, 9174, 2118, 100525, 232, 101310, 254, 16325, 56040, 106518, 74482, 113245, 64209, 96356, 16144, 104721, 33208, 15682, 5486, 102717, 109416, 1041, 113127, 16144, 105184, 96455, 16556, 125119, 30369, 89874, 51330, 104466, 78698, 107290, 33334, 76622, 81219, 5486, 100525, 232, 101310, 254, 85707, 23538, 16144, 59739, 116547, 111848, 33014, 104873, 16937, 103424, 5486, 100525, 232, 101310, 254, 74482, 23538, 56040, 106518, 74482, 122692, 64209, 96356, 16144, 16937, 104873, 15682, 99849, 123772, 33503, 125119, 104533, 101067, 23187, 15024, 126172, 16995, 106046, 61689, 9174, 112371, 104328, 5486, 100525, 232, 101310, 254, 123410, 123628, 39177, 23538, 55031, 5486, 48154, 116907, 16144, 113614, 19732, 104654, 108710, 101557, 96, 109853, 113727, 100481, 90620, 105898, 16995, 38641, 9174, 567, 120066, 232, 101310, 254, 74482, 23538, 16144, 121894, 15682, 11571, 11144, 64209, 96356, 16144, 104721, 33208, 112479, 100525, 232, 101310, 254, 74482, 23538, 10110, 56040, 106518, 74482, 7705, 20230, 125119, 30369, 104721, 33208, 112212, 5486, 64209, 96356, 111363, 117375, 125334, 30369, 106592, 78698, 101557, 106, 39926, 33334, 102334, 118881, 29295, 126521, 38641, 120234, 104873, 19732, 58426, 113385, 30512, 112825, 110904, 20230, 123011, 62004, 104533, 90578, 9458, 45829, 106496, 9458, 118480, 116581, 16144, 102404, 101662, 111848, 5486, 26274, 241, 32648, 16144, 121819, 117598, 71289, 110137, 105714, 198, 23018, 102769, 33121, 198, 126017, 32977, 33121, 198, 102924, 109243, 198, 106142, 58942, 9458, 104004, 47884, 64121, 198, 33334, 113351, 29295, 105714, 31431, 126172, 16995, 198, 9458, 45829, 106496, 9458, 118480, 116581, 16144, 102404, 101662, 111848, 5486, 33014, 25287, 9458, 110783, 110095, 16144, 104721, 33208, 64780, 16, 84499, 19, 198, 59739, 126843, 50834, 126172, 16995, 5486, 105564, 111044, 29295, 31809, 30813, 47884, 109020, 198, 102780, 24186, 29295, 91774, 58942, 109669, 110706, 198, 114948, 22957, 31431, 9458, 115519, 108631, 198, 9458, 111482, 103927, 33710, 124373, 17620, 14888, 234, 33857, 16144, 104721, 33208, 10110, 100525, 232, 101310, 254, 16325, 56040, 106518, 74482, 7705, 64780, 17, 198, 25197, 102803, 32131, 5486, 120175, 121423, 5486, 127408, 99750, 198, 102099, 124615, 99750, 16144, 103167, 17297, 198, 113136, 120379, 16144, 109606, 198, 9458, 104473, 107654, 33857, 19732, 13153, 17620, 111017, 40862, 16144, 104721, 33208, 64780, 18, 198, 91875, 101128, 116, 198, 117355, 27479, 16144, 80631, 100, 104473, 198, 100525, 232, 122924, 98369, 113468, 16937, 104873, 16144, 104091, 104770, 9458, 113314, 16144, 104364, 15682, 30591, 33121, 5486, 112832, 20230, 72661, 125119, 30369, 125396, 16144, 101182, 109606, 38641, 9174, 85701, 120577, 16937, 104873, 30512, 78698, 101557, 106, 15024, 5486, 100525, 232, 101310, 254, 74482, 23538, 16144, 117401, 122692, 120098, 30512, 123011, 107436, 64121, 79721, 9174, 14711, 120066, 232, 101310, 254, 74482, 23538, 16144, 117401, 122692, 120098, 198, 9458, 33334, 113351, 16144, 105714, 31431, 5486, 110135, 114457, 41642, 111331, 108010, 34208, 99750, 20230, 61633, 54926, 198, 66378, 20230, 100525, 232, 101310, 254, 74482, 23538, 23897, 104989, 15682, 108948, 113351, 29295, 119448, 47884, 109020, 107294, 106824, 108948, 113351, 71289, 102478, 97518, 107792, 41642, 116310, 30512, 91875, 32149, 21105, 98, 33503, 115737, 31431, 5486, 121755, 70141, 76622, 16144, 110783, 110095, 5486, 116826, 29295, 64121, 5486, 33014, 30512, 104328, 101832, 30369, 117401, 16556, 108948, 113351, 71289, 110135, 114457, 41642, 112586, 127408, 30512, 112854, 105262, 115789, 57903, 33541, 9174, 51330, 105933, 39177, 102052, 5486, 20251, 44971, 109793, 11972, 9458, 76171, 71634, 119539, 102514, 98369, 55031, 5486, 112361, 117401, 72661, 108010, 34208, 99750, 30512, 111098, 76622, 106272, 5486, 102395, 109431, 120650, 105262, 91875, 19967, 16144, 47260, 103223, 30512, 100927, 107290, 32977, 33503, 30297, 112973, 102832, 71634, 38641, 9174, 9458, 105047, 26854, 110783, 110095, 122489, 30512, 83747, 103470, 54926, 198, 103605, 31431, 55031, 118013, 115442, 30369, 5486, 121755, 70141, 76622, 55031, 72718, 50834, 115442, 30369, 5486, 102083, 100472, 110783, 110095, 16144, 122489, 15682, 5486, 25580, 43032, 56051, 108010, 34208, 99750, 125334, 126172, 16995, 120266, 21601, 107290, 5486, 72718, 80195, 34171, 103167, 104473, 121819, 10110, 101171, 111, 80631, 100, 104473, 1811, 118013, 126910, 64121, 123160, 111571, 103397, 125334, 30369, 7705, 30512, 113801, 125119, 15024, 126172, 16995, 38641, 1811, 111571, 103397, 125334, 126172, 47884, 95221, 117657, 100525, 232, 122924, 117940, 5486, 80195, 100472, 9458, 103605, 100472, 9458, 121120, 28713, 17129, 103296, 117401, 30512, 103350, 102923, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 567, 120066, 232, 101310, 254, 74482, 23538, 107898, 125683, 62004, 54926, 117401, 19732, 58426, 71289, 31431, 24273, 198, 100525, 232, 101310, 254, 25580, 55031, 117401, 30512, 108710, 101557, 96, 20230, 107113, 24273, 16556, 5486, 100525, 232, 101310, 254, 74482, 23538, 16556, 91763, 30297, 104466, 91875, 76622, 123733, 100472, 5486, 33014, 16144, 16937, 104873, 30512, 112391, 30369, 101200, 110276, 5486, 102677, 126390, 104655, 47884, 105908, 57903, 33541, 9174, 124981, 38248, 255, 94550, 15682, 5486, 100525, 232, 101310, 254, 117232, 37087, 104322, 16556, 33334, 125683, 62004, 125545, 29295, 5486, 100525, 232, 101310, 254, 74482, 23538, 77181, 102478, 97518, 107792, 9458, 110135, 114457, 41642, 116310, 16144, 91875, 50834, 20230, 44416, 48249, 125334, 126172, 16995, 38641, 9174, 37271, 103296, 33035, 112586, 91875, 124324, 5486, 117401, 15682, 107202, 46034, 125743, 127091, 117401, 126198, 16995, 119150, 110018, 15682, 5486, 88852, 120950, 106592, 111800, 118219, 39926, 64121, 38144, 72315, 9174, 9458, 124981, 38248, 255, 94550, 30512, 112990, 95221, 109972, 124059, 5486, 107691, 16995, 53953, 5486, 123044, 16144, 107471, 105564, 5486, 48915, 20834, 59739, 117201, 114715, 107471, 105564, 54926, 113314, 16144, 117355, 16995, 120208, 16556, 27704, 109315, 198, 27452, 116285, 93056, 107471, 105564, 117158, 32149, 105784, 112772, 100815, 109913, 107290, 5486, 107271, 106240, 30512, 123259, 47884, 109900, 55031, 20, 17620, 103378, 105564, 47884, 863, 72661, 106391, 16995, 107515, 9174, 95221, 109972, 76947, 45736, 120195, 30369, 30832, 105888, 30512, 121697, 30369, 52118, 77693, 29295, 118765, 52118, 118765, 105994, 29295, 115389, 117084, 120175, 104526, 104004, 198, 102677, 115789, 101182, 105879, 5486, 66378, 20230, 117401, 20230, 107202, 46034, 37689, 109375, 107407, 24273, 15682, 5486, 119869, 15682, 19732, 112649, 47884, 112825, 110904, 26854, 30832, 105888, 30512, 116700, 39926, 108048, 30512, 108710, 101557, 96, 116446, 72315, 9174, 9458, 33014, 29295, 30358, 47884, 38144, 91875, 50834, 109669, 110706, 110018, 15682, 5486, 112673, 102472, 19732, 53610, 126503, 32977, 106081, 39926, 64121, 30369, 198, 68759, 47307, 78683, 103906, 112673, 102472, 16144, 8239, 114503, 114556, 39926, 15682, 111476, 565, 117896, 16144, 77219, 565, 126130, 98499, 64121, 16995, 90620, 118145, 106046, 61689, 3490, 68759, 47307, 78683, 103906, 22398, 25197, 101198, 94550, 32977, 19361, 108602, 72238, 117401, 115717, 33541, 29295, 5486, 124981, 38248, 255, 94550, 19732, 57106, 103854, 104533, 5486, 53610, 16325, 16556, 111006, 112649, 117295, 111179, 48634, 9458, 53610, 121819, 111848, 5486, 104004, 47884, 64121, 117355, 114485, 19732, 97518, 107792, 111363, 109972, 106529, 30512, 114485, 33503, 17663, 8239, 114503, 29295, 125494, 125545, 9174, 53900, 5486, 102478, 97518, 107792, 9458, 110135, 114457, 41642, 116310, 16144, 91875, 50834, 109669, 124749, 109020, 100525, 232, 101310, 254, 74482, 23538, 15682, 5486, 117401, 112772, 85701, 55031, 126362, 54926, 5486, 102756, 114265, 115592, 102756, 67075, 117824, 76947, 64121, 38144, 72315, 9174, 9458, 102756, 114265, 115592, 102756, 67075, 198, 118075, 198, 110176, 102780, 125523, 102532, 80195, 59739, 10110, 102780, 111044, 5232, 32149, 32149, 19732, 29295, 114948, 111044, 105755, 108285, 47884, 5486, 59739, 17129, 61826, 30512, 1399, 11877, 48915, 102416, 87447, 47884, 23954, 119560, 198, 110176, 112909, 102478, 97518, 107792, 20230, 40265, 38144, 38144, 108948, 16175, 119, 30512, 74482, 102416, 113801, 106272, 5486, 17905, 33014, 30512, 102478, 97518, 107792, 55031, 25580, 102416, 101427, 122, 107441, 116826, 29295, 104004, 10110, 33334, 16175, 119, 29295, 104735, 251, 105755, 114715, 126574, 5486, 104735, 251, 19732, 112361, 45736, 30813, 120264, 103296, 23954, 126892, 198, 102478, 97518, 107792, 55031, 33334, 16175, 119, 30512, 25580, 102416, 37705, 31431, 121216, 5486, 17129, 42891, 114225, 118013, 115442, 104533, 50834, 107898, 16175, 119, 30512, 126233, 109315, 198, 115592, 102756, 67075, 16144, 8239, 114503, 114556, 39926, 15682, 111476, 565, 117896, 16144, 77219, 565, 126130, 98499, 64121, 72315, 18171, 567, 120066, 232, 101310, 254, 74482, 23538, 16556, 114652, 101182, 105284, 99397, 198, 17297, 61304, 20230, 100525, 232, 101310, 254, 74482, 23538, 16556, 114652, 33334, 65854, 103826, 20230, 104655, 32149, 104028, 105284, 99397, 30512, 123011, 107436, 61689, 9174, 14711, 120066, 232, 101310, 254, 74482, 23538, 16144, 117401, 9458, 20251, 44971, 118928, 94550, 15682, 108064, 119400, 103296, 106307, 76622, 102204, 33541, 32149, 95532, 1987, 12, 1272, 111299, 30832, 103296, 5486, 106518, 123628, 20251, 44971, 118928, 94550, 30512, 106307, 76622, 110071, 24273, 29295, 127181, 38641, 9174, 103350, 27452, 77181, 90578, 106518, 105677, 109156, 30369, 107507, 101198, 94550, 16556, 70349, 112454, 31431, 123410, 10110, 100525, 232, 101310, 254, 1806, 12, 1987, 111299, 30832, 103296, 23954, 33334, 103242, 30046, 103826, 55031, 5486, 100525, 232, 101310, 254, 1806, 111299, 30832, 23897, 104989, 15682, 67645, 124592, 25827, 91875, 102532, 102717, 102800, 19732, 117952, 103468, 10110, 100525, 232, 101310, 254, 1272, 111299, 30832, 9458, 20834, 106518, 17, 9080, 25580, 103296, 23954, 102677, 115789, 57903, 79721, 9174, 9023, 13, 20251, 44971, 118928, 94550, 77181, 5486, 20834, 106518, 56965, 60358, 16144, 6708, 228, 103550, 10110, 105150, 53610, 71289, 123717, 108631, 7705, 125334, 126386, 25580, 29172, 16556, 5486, 100525, 232, 122924, 98369, 22656, 17792, 55031, 117401, 126198, 16995, 102677, 37689, 70141, 126130, 104655, 50834, 56051, 110018, 15682, 108948, 111006, 16144, 127749, 20230, 114146, 28713, 20251, 44971, 118928, 94550, 39850, 78683, 109496, 30512, 29172, 81742, 127145, 9174, 14711, 220, 106518, 123470, 117401, 9458, 20251, 44971, 118928, 94550, 15682, 108064, 55031, 88356, 87447, 125545, 32149, 95532, 33014, 104873, 29295, 103424, 118145, 5486, 106518, 123470, 17701, 94923, 16325, 55031, 123601, 35083, 109904, 117401, 109095, 112454, 15682, 5486, 106518, 74482, 16, 113746, 111800, 120761, 29295, 105721, 78183, 76947, 55031, 126130, 125683, 62004, 127145, 9174, 68759, 47307, 78683, 103906, 20251, 44971, 118928, 94550, 114475, 76622, 100934, 33334, 65854, 103826, 102052, 5486, 106518, 123470, 17701, 94923, 16325, 55031, 108608, 112825, 110904, 26854, 117401, 126130, 108044, 58942, 39926, 33541, 1811, 106518, 74482, 16, 113746, 111800, 120761, 16556, 5486, 66378, 20230, 108901, 40053, 29295, 114181, 102204, 123207, 5486, 117401, 109095, 112454, 30512, 111800, 118219, 120837, 126521, 38641, 9174, 90620, 5486, 106518, 106782, 98, 23538, 10110, 106518, 74482, 21, 12, 23, 111299, 56965, 119735, 5486, 100525, 232, 122924, 98369, 116907, 32977, 114392, 15682, 105677, 113598, 19732, 5486, 127032, 29295, 107991, 104654, 117501, 20230, 101557, 96, 104028, 105908, 107693, 38641, 9174, 105994, 116907, 32977, 113614, 16556, 107991, 113009, 5486, 48154, 122013, 16144, 60868, 121057, 5486, 127032, 30512, 113838, 105784, 9458, 33014, 16144, 102663, 39880, 114475, 76622 ]
[ 110071, 60868, 113649, 117718, 76706, 11883, 32977, 112371, 104328, 111800, 118219, 16995, 90620, 105898, 16995, 38641, 9174, 14711, 120066, 232, 101310, 254, 74482, 23538, 56040, 106518, 74482, 16556, 125338, 33334, 126145, 126521, 117401, 15682, 57903, 33541, 32149, 95532, 114948, 104486, 110135, 19732, 110135, 114457, 41642, 31431, 30512, 119448, 47884, 91875, 32149, 17663, 5486, 101662, 116581, 16556, 109215, 108176, 33014, 48634, 116825, 105784, 5486, 126120, 96455, 109904, 9080, 40053, 91875, 19967, 16144, 47260, 103223, 30512, 112854, 105262, 115847, 33503, 34617, 59739, 30512, 30832, 112535, 56051, 117401, 126130, 125683, 62004, 78434, 9174, 100525, 232, 101310, 254, 16325, 72661, 19000, 110362, 114731, 102781, 16556, 68408, 115592, 102756, 105048, 29295, 43240, 47884, 5486, 117401, 127242, 30512, 103350, 99750, 127662, 24273, 29295, 19732, 111243, 127181, 38641, 9174, 122270, 101662, 116581, 77181, 5486, 91875, 50834, 71289, 110783, 110095, 20230, 115598, 31431, 125334, 38144, 114732, 109335, 111098, 76622, 102204, 107515, 9174, 9080, 40053, 16144, 99849, 95221, 100604, 91875, 19967, 72661, 101544, 82973, 5486, 103721, 108, 31431, 104196, 15024, 23039, 116285, 5486, 67645, 120950, 17792, 72661, 33014, 16144, 109972, 106529, 115717, 33541, 9174, 51330, 105933, 127749, 77181, 5486, 114948, 41642, 31431, 71289, 102478, 97518, 107792, 30512, 119448, 47884, 91875, 32149, 17663, 101513, 38093, 29295, 114485, 31431, 5486, 115519, 108631, 9458, 114948, 22957, 31431, 5486, 110783, 110095, 29295, 109161, 115737, 100472, 5486, 106142, 58942, 9458, 104004, 47884, 64121, 120950, 16937, 104873, 29295, 125119, 31431, 126172, 115737, 76947, 103801, 61689, 9174, 68759, 47307, 78683, 103906, 20251, 44971, 118928, 94550, 10110, 119049, 20251, 44971, 120732, 126513, 5486, 110904, 116254, 20230, 119049, 107079, 71289, 33014, 48634, 116825, 107674, 31431, 54926, 103378, 126194, 5486, 101662, 116581, 16556, 59614, 116156, 108176, 91875, 19967, 10110, 26955, 122, 16995, 109415, 30369, 5486, 118013, 115442, 30369, 5486, 110794, 109415, 30369, 5486, 103605, 30369, 5486, 17297, 85791, 17663, 9458, 22324, 47884, 7705, 16556, 5486, 33014, 16144, 109972, 106529, 30512, 114485, 124949, 5486, 126120, 96455, 114652, 91875, 47884, 115541, 108710, 32977, 115963, 20230, 125545, 9174, 51330, 28542, 15682, 5486, 112371, 104328, 20251, 44971, 109793, 115247, 39880, 45923, 66953, 112900, 114475, 107441, 5486, 103350, 99750, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 14711, 120066, 232, 101310, 254, 74482, 23538, 109156, 31431, 5486, 91939, 225, 108631, 29295, 78434, 1811, 104405, 126693, 126521, 105879, 109954, 32149, 9174, 100525, 232, 101310, 254, 74482, 23538, 102052, 45829, 106496, 29295, 91939, 225, 30512, 121819, 117598, 15024, 5486, 91939, 225, 108631, 29295, 72718, 50834, 30369, 105908, 57903, 33541, 1811, 114652, 117952, 104028, 13177, 74482, 23538, 109669, 116547, 10646, 115717, 33541, 9174, 15120, 87217, 16144, 50338, 104662, 41007, 15682, 33334, 102456, 30926, 30512, 20, 93, 21, 18904, 20230, 17620, 107441, 23039, 30297, 100909, 38641, 9174, 15120, 95221, 20230, 33857, 30512, 102456, 115694, 114732, 16144, 126194, 115515, 103296, 112197, 102456, 30926, 30512, 17620, 102456, 54926, 118733, 125764, 103188, 105557, 32977, 114485, 31431, 5486, 91939, 225, 111363, 121819, 117598, 32977, 117355, 114485, 78434, 9174, 104405, 120837, 115200, 47884, 113420, 58942, 102204, 100604, 39177, 15682, 5486, 32149, 107277, 126268, 16144, 103242, 104599, 20230, 50021, 111813, 15024, 44309, 11883, 108608, 117434, 30512, 117120, 24273, 120837, 33503, 30297, 115789, 126521, 106046, 61689, 9174, 117434, 30512, 115320, 104004, 103296, 72661, 100604, 24273, 15682, 5486, 33420, 33208, 20230, 126521, 102944, 30512, 125764, 30369, 106592, 64209, 29295, 76622, 17129, 109954, 9174, 30297, 67645, 25827, 71289, 11239, 113, 5486, 121496, 96356, 16144, 83747, 100604, 33334, 107079, 15682, 33334, 125683, 62004, 38641, 9174, 59657, 102, 17620, 103851, 58942, 62004, 116446, 15308, 226, 113598, 30512, 99046, 224, 18655, 39926, 64121, 38144, 72315, 9174, 14711, 105961, 106518, 111363, 127408, 115991, 33541, 9174, 100525, 232, 101310, 254, 74482, 23538, 109156, 31431, 116898, 75694, 122678, 9953, 29295, 56965, 60358, 101983, 104533, 105465, 21105, 123, 103351, 20834, 106518, 32977, 114715, 127408, 20230, 112391, 38144, 114732, 105908, 57903, 33541, 9174, 106613, 111186, 56051, 105908, 100604, 33334, 106518, 30512, 109169, 58942, 104533, 26854, 104533, 5486, 127408, 26854, 120208, 32977, 119448, 115737, 104533, 91763, 61689, 9174, 119045, 109904, 127408, 50338, 33420, 102416, 15682, 86127, 105459, 80805, 38248, 121, 96452, 108958, 44971, 109793, 11972, 20230, 50021, 111813, 30512, 109768, 90620, 76622, 104533, 111476, 67645, 103171, 100909, 111363, 127408, 26854, 104865, 30512, 17885, 118, 16995, 5486, 50338, 104662, 102416, 106839, 47884, 105908, 125545, 9174, 33014, 48634, 28190, 16144, 127408, 15682, 21105, 96, 107277, 20251, 44971, 118928, 94550, 30512, 39926, 5486, 20834, 106518, 30512, 109169, 105262, 105908, 103082, 104984, 51385, 64209, 38641, 9174, 64209, 96356, 16144, 127408, 30512, 50338, 104662, 54926, 108031, 15120, 118821, 41007, 15682, 13177, 68759, 47307, 78683, 103906, 112673, 102472, 10646, 38641, 9174, 68759, 47307, 78683, 103906, 112673, 102472, 15682, 76739, 124643, 104603, 115247, 104873, 107792, 71289, 64209, 96356, 16144, 113614, 125030, 111243, 33334, 125683, 62004, 38641, 9174, 37823, 32131, 107840, 39926, 112673, 102472, 117824, 30297, 118733, 33334, 113351, 107809, 16144, 109657, 108056, 19732, 38093, 87177, 39926, 5486, 64209, 30512, 113614, 117657, 105908, 125545, 9174, 122485, 16556, 23039, 30297, 115789, 33334, 125683, 62004, 119627, 108948, 65854, 103826, 77693, 108422, 33121, 112197, 111006, 16144, 66378, 17599, 112, 107407, 105879, 112371, 104328, 76171, 71634, 119539, 102514, 115867, 44971, 26269, 22398, 16073, 114475, 107441, 64121, 38144, 72315, 9174, 11144, 116882, 30046, 107420, 106384, 64178, 112479, 9023, 13, 20251, 44971, 118928, 94550, 104926, 68759, 47307, 78683, 103906, 118482, 34048, 113160, 49988, 30046, 198, 103271, 119283, 103230, 121, 55228, 238, 198, 11144, 48864, 114172, 112479, 32131, 26269, 64810, 33710, 102667, 94632, 116756, 103906, 48552, 20251, 44971, 118928, 94550, 5, 124011, 109089, 109054, 76739, 107446, 48864, 34048, 7520, 34, 48864, 70626, 198, 11144, 107430, 114172, 112479, 118090, 106877, 104577, 59657, 122, 102667, 103242, 127480, 117434, 48864, 34048, 32131, 41758, 127020, 34048, 198, 111344, 113614, 108396, 114363, 103722, 104575, 115304, 40053, 114731, 114341, 104599, 198, 47260, 102494, 103621, 33710, 104774, 106240, 39880, 71493, 68408, 101198, 11972, 198, 11144, 103087, 35083, 112479, 45, 4586, 12, 835, 34, 10110, 37087, 73361, 39880, 116756, 103906, 48552, 20251, 44971, 109793, 106240, 108975, 38093, 104736, 23187, 20251, 44971, 109793, 11972, 340, 11144, 117811, 124055, 112479, 64780, 20713, 112950, 21990, 8239, 112, 122502, 66870, 112828, 101275, 36668, 16144, 112073, 103826, 102416, 44620, 68759, 47307, 78683, 103906, 102040, 112718, 73590, 16144, 125119, 110104, 107430, 75267, 109669, 47884, 31431, 102040, 102860, 52884, 48552, 111496, 64780, 17, 107934, 98, 101129, 122447, 45829, 11, 116708, 16325, 119458, 106515, 11, 612, 107934, 98, 101129, 14608, 108, 13, 320, 1049, 19, 570, 120066, 232, 101310, 254, 74482, 23538, 122692, 100525, 232, 122924, 16144, 127298, 9554, 113614, 99750, 19732, 20834, 106518, 123470, 68759, 47307, 78683, 103906, 112193, 106240, 110792, 97518, 89046, 34171, 627, 9, 123120, 126784, 102473, 12594, 353, 605, 6737, 17, 705, 220, 5932, 12, 6083, 382, 64780, 18, 4931, 35, 68759, 118331, 107908, 106955, 236, 116581, 16144, 102404, 104067, 38574, 106090, 271, 64780, 19, 98359, 94, 116812, 102765, 111887, 11, 126593, 102687, 34208, 31640, 11, 612, 98359, 94, 116812, 98915, 58666, 45829, 13, 320, 2366, 15, 570, 120066, 232, 101310, 254, 16325, 23538, 19732, 74482, 23538, 122692, 115519, 108631, 19732, 105564, 23039, 124001, 111006, 112415, 33857, 16144, 104721, 33208, 19732, 97518, 89046, 34171, 627, 9, 102433, 103129, 106518, 124052, 116044, 12594, 71140, 1428, 12, 679, 24, 13, 128001, 128000, 2, 126953, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 110792, 111943, 103926, 30512, 19653, 124545, 109243, 29245, 96, 198, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 19732, 104655, 102532, 5486, 112073, 117940, 67645, 120950, 111482, 66201, 30512, 114284, 111179, 32149, 103854, 33541, 32149, 95532, 107875, 100525, 241, 98369, 11571, 117813, 30046, 98369, 11571, 47307, 44971, 52414, 16144, 51385, 101129, 58666, 105351, 45829, 98369, 11571, 95532, 108936, 9554, 102052, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 119735, 102433, 17792, 123737, 125030, 76947, 5486, 47453, 101, 103192, 10110, 72342, 25827, 109416, 30297, 120732, 9554, 10110, 123011, 7705, 19732, 117952, 106824, 61689, 9174, 58426, 13177, 15682, 103171, 31431, 10646, 56051, 112690, 109669, 32149, 114774, 5486, 102491, 72368, 105110, 77181, 16144, 105189, 71289, 32149, 30813, 5486, 80539, 95221, 124955, 117714, 103424, 30813, 9174, 80673, 110993, 62004, 126268, 15682, 105321, 102083, 114598, 5486, 103633, 116358, 72368, 16556, 107517, 125167, 58666, 126325, 111769, 123253, 32149, 9174, 97518, 101778, 108900, 55031, 108931, 102416, 120523, 20230, 37507, 109115, 24273, 15682, 5486, 40526, 104680, 20230, 13177, 108931, 16144, 111482, 15682, 5486, 126920, 103854, 108005, 112, 25827, 121944, 127181, 26854, 56040, 10646, 19732, 99750, 91875, 39926, 112454, 110071, 126465, 29295, 108008, 20230, 127181, 9174, 103350, 104983, 102052, 33208, 90397, 100, 16144, 59657, 245, 31431, 77913, 40862, 71289, 87177, 15024, 40526, 104873, 104309, 5486, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 127282, 91774, 28713, 30832, 116771, 105110, 101860, 58426, 106548, 105301, 71289, 118013, 107084, 30369, 107875, 16995, 104309, 55031, 58666, 17792, 66201, 126694, 31431, 109415, 127280, 9174, 37271, 18904, 15682, 107943, 5486, 115924, 101083, 16144, 58666, 58850, 116787, 102433, 107707, 30591, 22957, 29295, 33121, 103195, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 110792, 111943, 103926, 30512, 13153, 81258, 124545, 109243, 105226, 109853, 108044, 107141, 109768, 105898, 16995, 106046, 61689, 9174, 567, 126953, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 107118, 5486, 112832, 30512, 64467, 17663, 104865, 95532, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 107118, 15120, 33014, 112832, 16144, 100909, 26854, 104865, 95532, 108931, 20230, 101987, 126559, 105268, 16995, 58850, 16144, 107707, 100909, 95532, 16995, 58942, 16995, 58942, 108010, 61689, 9174, 108931, 15682, 48154, 25359, 53283, 16144, 121640, 5486, 17161, 100927, 113949, 38641, 1811, 47653, 27384, 5486, 42016, 78228, 61337, 5486, 80195, 51609, 104517, 30512, 15682, 100204, 62004, 9039, 43240, 119064, 110022, 40862, 102667, 29295, 104328, 15024, 62004, 47884, 13177, 106718, 16144, 104773, 126557, 77693, 106644, 58942, 20230, 5486, 102465, 30512, 80172, 102639, 104984, 106848, 55031, 112197, 17905, 31431, 98369, 102667, 21990, 20230, 40265, 28713, 30369, 102677, 108680, 36896, 66776, 108931, 17792, 10646, 96455, 29295, 45736, 117714, 38641, 9174, 115303, 118821, 72099, 20230, 108928, 109315, 102667, 21990, 16144, 111017, 40862, 15682, 5486, 108931, 29295, 111717, 16556, 104509, 104680, 112028, 25129, 113637, 9039, 15682, 101778, 108931, 126036, 43240, 47884, 5486, 108931, 102697, 70821, 78250, 27113, 17792, 30591, 28713, 111331, 102667, 21990, 16144, 9039, 15682, 5486, 105321, 19732, 44597, 59983, 46702, 17792, 1811, 102616, 15120, 25129, 16144, 38, 10510, 30512, 45918, 229, 30369, 27384, 113949, 103195, 111344, 16144, 46702, 59983, 66115, 17792, 30512, 72404, 105262, 5486, 17129, 30813, 20230, 118133, 17905, 31431, 98369, 113949, 10646, 72661, 101182, 16144, 38641, 9174, 87177, 29295, 77693, 79721, 29295, 5486, 47653, 58850, 16144, 23187, 104577, 109853, 5486, 110382, 16556, 112825, 110904, 20230, 123011, 107436, 33334, 126145, 111476, 47653, 58850, 104023, 108931, 23530, 123727, 104356, 34048, 30512, 20834, 96356, 30590, 117408, 111482, 16144, 100909, 114318, 23187, 104577, 54926, 112973, 103192, 17129, 102800, 102083, 58942, 33541, 9174, 71289, 15682, 31431, 33334, 17905, 31431, 98369, 111482, 105459, 102677, 104468, 5486, 103424, 47884, 32977, 109161, 47884, 32977, 108931, 16144, 115389, 33503, 21105, 243, 30512, 77693, 108680, 33334, 110794, 111769, 92193, 7705, 16995, 78183, 106644, 30369, 5486, 108936, 109904, 102433, 17792, 103306, 16144, 16144, 25827, 102802, 31431, 30813, 114792, 76947, 108086, 5486, 106644, 19732, 31431, 30512, 32977, 76947, 30177, 54926, 105908, 108608, 113334, 38641, 9174, 110229, 29295, 47653, 58850, 15682, 102131, 77181, 124897, 9174, 47653, 58850, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 102052, 5486, 9080, 104680, 13177, 126238, 105714, 116690, 10646, 115991, 5486, 40053, 20230, 15120, 109835, 92776, 102404, 16144, 112997, 29220, 30512, 19361, 103792, 5486, 17129, 30813, 20230, 49409, 103293, 121200, 16144, 72237, 101198, 60868, 106696, 120950, 109755, 85791, 21105, 243, 107407, 16144, 38641, 9174, 47653, 58850, 108680, 15120, 119049, 102057, 226, 16556, 23039, 126660, 111482, 127282, 104157, 107515, 1811, 103031, 120577, 34171, 35083, 16144, 110135, 100499, 226, 30512, 53283, 31431, 106116, 17905, 16556, 103359, 105226, 30512, 114341, 100204, 30369, 118733, 5486, 105755, 126521, 111943, 103926, 116690, 16144, 102404, 77413, 29295, 103192, 109315, 116497, 38641, 1811, 88852, 16556, 50520, 111, 43032, 109768, 50834, 33541, 9174, 567, 126953, 58850, 10110, 50834, 107106, 33334, 103171, 120732, 34171, 35083, 19732, 106116, 103359, 105226, 198, 14711, 220, 20713, 59983, 49838, 105791, 16144, 105665, 15682, 113351, 111199, 16995, 198, 119869, 55031, 51330, 105933, 89151, 103350, 30512, 108044, 105262, 123017, 33334, 22957, 29295, 17129, 102800, 32149, 110241, 33121, 107515, 29295, 92193, 65459, 30926, 103350, 103195, 71689, 50338, 108323, 72342, 75694, 30369, 30512, 50928, 107515, 9174, 47653, 58850, 16144, 66378, 17599, 112, 15682, 36896, 71289, 30813, 21105, 251, 30297, 26854, 21405, 28190, 10110, 33334, 32977, 38144, 109669, 33503, 7705, 10646, 19732, 36896, 45923, 42634, 45923, 42634, 16144, 113351, 107809, 10110, 117591, 7705, 10646, 38641, 9174, 51330, 41920, 28190, 34171, 30512, 126843, 113954, 39926, 72315, 9174, 85707, 103359, 28190, 72661, 103926, 101067, 29295, 114652, 5486, 109020, 108680, 116622, 17792, 20230, 106691, 107001, 105933, 123646, 102860, 102540, 30813, 114792, 103836, 52591, 57207, 107407, 104466, 112391, 18655, 102204, 33541, 9174, 80673, 109453, 127282, 49838, 105791, 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 ]
[ 110071, 60868, 113649, 117718, 76706, 11883, 32977, 112371, 104328, 111800, 118219, 16995, 90620, 105898, 16995, 38641, 9174, 14711, 120066, 232, 101310, 254, 74482, 23538, 56040, 106518, 74482, 16556, 125338, 33334, 126145, 126521, 117401, 15682, 57903, 33541, 32149, 95532, 114948, 104486, 110135, 19732, 110135, 114457, 41642, 31431, 30512, 119448, 47884, 91875, 32149, 17663, 5486, 101662, 116581, 16556, 109215, 108176, 33014, 48634, 116825, 105784, 5486, 126120, 96455, 109904, 9080, 40053, 91875, 19967, 16144, 47260, 103223, 30512, 112854, 105262, 115847, 33503, 34617, 59739, 30512, 30832, 112535, 56051, 117401, 126130, 125683, 62004, 78434, 9174, 100525, 232, 101310, 254, 16325, 72661, 19000, 110362, 114731, 102781, 16556, 68408, 115592, 102756, 105048, 29295, 43240, 47884, 5486, 117401, 127242, 30512, 103350, 99750, 127662, 24273, 29295, 19732, 111243, 127181, 38641, 9174, 122270, 101662, 116581, 77181, 5486, 91875, 50834, 71289, 110783, 110095, 20230, 115598, 31431, 125334, 38144, 114732, 109335, 111098, 76622, 102204, 107515, 9174, 9080, 40053, 16144, 99849, 95221, 100604, 91875, 19967, 72661, 101544, 82973, 5486, 103721, 108, 31431, 104196, 15024, 23039, 116285, 5486, 67645, 120950, 17792, 72661, 33014, 16144, 109972, 106529, 115717, 33541, 9174, 51330, 105933, 127749, 77181, 5486, 114948, 41642, 31431, 71289, 102478, 97518, 107792, 30512, 119448, 47884, 91875, 32149, 17663, 101513, 38093, 29295, 114485, 31431, 5486, 115519, 108631, 9458, 114948, 22957, 31431, 5486, 110783, 110095, 29295, 109161, 115737, 100472, 5486, 106142, 58942, 9458, 104004, 47884, 64121, 120950, 16937, 104873, 29295, 125119, 31431, 126172, 115737, 76947, 103801, 61689, 9174, 68759, 47307, 78683, 103906, 20251, 44971, 118928, 94550, 10110, 119049, 20251, 44971, 120732, 126513, 5486, 110904, 116254, 20230, 119049, 107079, 71289, 33014, 48634, 116825, 107674, 31431, 54926, 103378, 126194, 5486, 101662, 116581, 16556, 59614, 116156, 108176, 91875, 19967, 10110, 26955, 122, 16995, 109415, 30369, 5486, 118013, 115442, 30369, 5486, 110794, 109415, 30369, 5486, 103605, 30369, 5486, 17297, 85791, 17663, 9458, 22324, 47884, 7705, 16556, 5486, 33014, 16144, 109972, 106529, 30512, 114485, 124949, 5486, 126120, 96455, 114652, 91875, 47884, 115541, 108710, 32977, 115963, 20230, 125545, 9174, 51330, 28542, 15682, 5486, 112371, 104328, 20251, 44971, 109793, 115247, 39880, 45923, 66953, 112900, 114475, 107441, 5486, 103350, 99750, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 14711, 120066, 232, 101310, 254, 74482, 23538, 109156, 31431, 5486, 91939, 225, 108631, 29295, 78434, 1811, 104405, 126693, 126521, 105879, 109954, 32149, 9174, 100525, 232, 101310, 254, 74482, 23538, 102052, 45829, 106496, 29295, 91939, 225, 30512, 121819, 117598, 15024, 5486, 91939, 225, 108631, 29295, 72718, 50834, 30369, 105908, 57903, 33541, 1811, 114652, 117952, 104028, 13177, 74482, 23538, 109669, 116547, 10646, 115717, 33541, 9174, 15120, 87217, 16144, 50338, 104662, 41007, 15682, 33334, 102456, 30926, 30512, 20, 93, 21, 18904, 20230, 17620, 107441, 23039, 30297, 100909, 38641, 9174, 15120, 95221, 20230, 33857, 30512, 102456, 115694, 114732, 16144, 126194, 115515, 103296, 112197, 102456, 30926, 30512, 17620, 102456, 54926, 118733, 125764, 103188, 105557, 32977, 114485, 31431, 5486, 91939, 225, 111363, 121819, 117598, 32977, 117355, 114485, 78434, 9174, 104405, 120837, 115200, 47884, 113420, 58942, 102204, 100604, 39177, 15682, 5486, 32149, 107277, 126268, 16144, 103242, 104599, 20230, 50021, 111813, 15024, 44309, 11883, 108608, 117434, 30512, 117120, 24273, 120837, 33503, 30297, 115789, 126521, 106046, 61689, 9174, 117434, 30512, 115320, 104004, 103296, 72661, 100604, 24273, 15682, 5486, 33420, 33208, 20230, 126521, 102944, 30512, 125764, 30369, 106592, 64209, 29295, 76622, 17129, 109954, 9174, 30297, 67645, 25827, 71289, 11239, 113, 5486, 121496, 96356, 16144, 83747, 100604, 33334, 107079, 15682, 33334, 125683, 62004, 38641, 9174, 59657, 102, 17620, 103851, 58942, 62004, 116446, 15308, 226, 113598, 30512, 99046, 224, 18655, 39926, 64121, 38144, 72315, 9174, 14711, 105961, 106518, 111363, 127408, 115991, 33541, 9174, 100525, 232, 101310, 254, 74482, 23538, 109156, 31431, 116898, 75694, 122678, 9953, 29295, 56965, 60358, 101983, 104533, 105465, 21105, 123, 103351, 20834, 106518, 32977, 114715, 127408, 20230, 112391, 38144, 114732, 105908, 57903, 33541, 9174, 106613, 111186, 56051, 105908, 100604, 33334, 106518, 30512, 109169, 58942, 104533, 26854, 104533, 5486, 127408, 26854, 120208, 32977, 119448, 115737, 104533, 91763, 61689, 9174, 119045, 109904, 127408, 50338, 33420, 102416, 15682, 86127, 105459, 80805, 38248, 121, 96452, 108958, 44971, 109793, 11972, 20230, 50021, 111813, 30512, 109768, 90620, 76622, 104533, 111476, 67645, 103171, 100909, 111363, 127408, 26854, 104865, 30512, 17885, 118, 16995, 5486, 50338, 104662, 102416, 106839, 47884, 105908, 125545, 9174, 33014, 48634, 28190, 16144, 127408, 15682, 21105, 96, 107277, 20251, 44971, 118928, 94550, 30512, 39926, 5486, 20834, 106518, 30512, 109169, 105262, 105908, 103082, 104984, 51385, 64209, 38641, 9174, 64209, 96356, 16144, 127408, 30512, 50338, 104662, 54926, 108031, 15120, 118821, 41007, 15682, 13177, 68759, 47307, 78683, 103906, 112673, 102472, 10646, 38641, 9174, 68759, 47307, 78683, 103906, 112673, 102472, 15682, 76739, 124643, 104603, 115247, 104873, 107792, 71289, 64209, 96356, 16144, 113614, 125030, 111243, 33334, 125683, 62004, 38641, 9174, 37823, 32131, 107840, 39926, 112673, 102472, 117824, 30297, 118733, 33334, 113351, 107809, 16144, 109657, 108056, 19732, 38093, 87177, 39926, 5486, 64209, 30512, 113614, 117657, 105908, 125545, 9174, 122485, 16556, 23039, 30297, 115789, 33334, 125683, 62004, 119627, 108948, 65854, 103826, 77693, 108422, 33121, 112197, 111006, 16144, 66378, 17599, 112, 107407, 105879, 112371, 104328, 76171, 71634, 119539, 102514, 115867, 44971, 26269, 22398, 16073, 114475, 107441, 64121, 38144, 72315, 9174, 11144, 116882, 30046, 107420, 106384, 64178, 112479, 9023, 13, 20251, 44971, 118928, 94550, 104926, 68759, 47307, 78683, 103906, 118482, 34048, 113160, 49988, 30046, 198, 103271, 119283, 103230, 121, 55228, 238, 198, 11144, 48864, 114172, 112479, 32131, 26269, 64810, 33710, 102667, 94632, 116756, 103906, 48552, 20251, 44971, 118928, 94550, 5, 124011, 109089, 109054, 76739, 107446, 48864, 34048, 7520, 34, 48864, 70626, 198, 11144, 107430, 114172, 112479, 118090, 106877, 104577, 59657, 122, 102667, 103242, 127480, 117434, 48864, 34048, 32131, 41758, 127020, 34048, 198, 111344, 113614, 108396, 114363, 103722, 104575, 115304, 40053, 114731, 114341, 104599, 198, 47260, 102494, 103621, 33710, 104774, 106240, 39880, 71493, 68408, 101198, 11972, 198, 11144, 103087, 35083, 112479, 45, 4586, 12, 835, 34, 10110, 37087, 73361, 39880, 116756, 103906, 48552, 20251, 44971, 109793, 106240, 108975, 38093, 104736, 23187, 20251, 44971, 109793, 11972, 340, 11144, 117811, 124055, 112479, 64780, 20713, 112950, 21990, 8239, 112, 122502, 66870, 112828, 101275, 36668, 16144, 112073, 103826, 102416, 44620, 68759, 47307, 78683, 103906, 102040, 112718, 73590, 16144, 125119, 110104, 107430, 75267, 109669, 47884, 31431, 102040, 102860, 52884, 48552, 111496, 64780, 17, 107934, 98, 101129, 122447, 45829, 11, 116708, 16325, 119458, 106515, 11, 612, 107934, 98, 101129, 14608, 108, 13, 320, 1049, 19, 570, 120066, 232, 101310, 254, 74482, 23538, 122692, 100525, 232, 122924, 16144, 127298, 9554, 113614, 99750, 19732, 20834, 106518, 123470, 68759, 47307, 78683, 103906, 112193, 106240, 110792, 97518, 89046, 34171, 627, 9, 123120, 126784, 102473, 12594, 353, 605, 6737, 17, 705, 220, 5932, 12, 6083, 382, 64780, 18, 4931, 35, 68759, 118331, 107908, 106955, 236, 116581, 16144, 102404, 104067, 38574, 106090, 271, 64780, 19, 98359, 94, 116812, 102765, 111887, 11, 126593, 102687, 34208, 31640, 11, 612, 98359, 94, 116812, 98915, 58666, 45829, 13, 320, 2366, 15, 570, 120066, 232, 101310, 254, 16325, 23538, 19732, 74482, 23538, 122692, 115519, 108631, 19732, 105564, 23039, 124001, 111006, 112415, 33857, 16144, 104721, 33208, 19732, 97518, 89046, 34171, 627, 9, 102433, 103129, 106518, 124052, 116044, 12594, 71140, 1428, 12, 679, 24, 13, 128001, 128000, 2, 126953, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 110792, 111943, 103926, 30512, 19653, 124545, 109243, 29245, 96, 198, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 19732, 104655, 102532, 5486, 112073, 117940, 67645, 120950, 111482, 66201, 30512, 114284, 111179, 32149, 103854, 33541, 32149, 95532, 107875, 100525, 241, 98369, 11571, 117813, 30046, 98369, 11571, 47307, 44971, 52414, 16144, 51385, 101129, 58666, 105351, 45829, 98369, 11571, 95532, 108936, 9554, 102052, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 119735, 102433, 17792, 123737, 125030, 76947, 5486, 47453, 101, 103192, 10110, 72342, 25827, 109416, 30297, 120732, 9554, 10110, 123011, 7705, 19732, 117952, 106824, 61689, 9174, 58426, 13177, 15682, 103171, 31431, 10646, 56051, 112690, 109669, 32149, 114774, 5486, 102491, 72368, 105110, 77181, 16144, 105189, 71289, 32149, 30813, 5486, 80539, 95221, 124955, 117714, 103424, 30813, 9174, 80673, 110993, 62004, 126268, 15682, 105321, 102083, 114598, 5486, 103633, 116358, 72368, 16556, 107517, 125167, 58666, 126325, 111769, 123253, 32149, 9174, 97518, 101778, 108900, 55031, 108931, 102416, 120523, 20230, 37507, 109115, 24273, 15682, 5486, 40526, 104680, 20230, 13177, 108931, 16144, 111482, 15682, 5486, 126920, 103854, 108005, 112, 25827, 121944, 127181, 26854, 56040, 10646, 19732, 99750, 91875, 39926, 112454, 110071, 126465, 29295, 108008, 20230, 127181, 9174, 103350, 104983, 102052, 33208, 90397, 100, 16144, 59657, 245, 31431, 77913, 40862, 71289, 87177, 15024, 40526, 104873, 104309, 5486, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 127282, 91774, 28713, 30832, 116771, 105110, 101860, 58426, 106548, 105301, 71289, 118013, 107084, 30369, 107875, 16995, 104309, 55031, 58666, 17792, 66201, 126694, 31431, 109415, 127280, 9174, 37271, 18904, 15682, 107943, 5486, 115924, 101083, 16144, 58666, 58850, 116787, 102433, 107707, 30591, 22957, 29295, 33121, 103195, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 110792, 111943, 103926, 30512, 13153, 81258, 124545, 109243, 105226, 109853, 108044, 107141, 109768, 105898, 16995, 106046, 61689, 9174, 567, 126953, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 107118, 5486, 112832, 30512, 64467, 17663, 104865, 95532, 47653, 58850, 10110, 50834, 107106, 33334, 103171, 7705, 107118, 15120, 33014, 112832, 16144, 100909, 26854, 104865, 95532, 108931, 20230, 101987, 126559, 105268, 16995, 58850, 16144, 107707, 100909, 95532, 16995, 58942, 16995, 58942, 108010, 61689, 9174, 108931, 15682, 48154, 25359, 53283, 16144, 121640, 5486, 17161, 100927, 113949, 38641, 1811, 47653, 27384, 5486, 42016, 78228, 61337, 5486, 80195, 51609, 104517, 30512, 15682, 100204, 62004, 9039, 43240, 119064, 110022, 40862, 102667, 29295, 104328, 15024, 62004, 47884, 13177, 106718, 16144, 104773, 126557, 77693, 106644, 58942, 20230, 5486, 102465, 30512, 80172, 102639, 104984, 106848, 55031, 112197, 17905, 31431, 98369, 102667, 21990, 20230, 40265, 28713, 30369, 102677, 108680, 36896, 66776, 108931, 17792, 10646, 96455, 29295, 45736, 117714, 38641, 9174, 115303, 118821, 72099, 20230, 108928, 109315, 102667, 21990, 16144, 111017, 40862, 15682, 5486, 108931, 29295, 111717, 16556, 104509, 104680, 112028, 25129, 113637, 9039, 15682, 101778, 108931, 126036, 43240, 47884, 5486, 108931, 102697, 70821, 78250, 27113, 17792, 30591, 28713, 111331, 102667, 21990, 16144, 9039, 15682, 5486, 105321, 19732, 44597, 59983, 46702, 17792, 1811, 102616, 15120, 25129, 16144, 38, 10510, 30512, 45918, 229, 30369, 27384, 113949, 103195, 111344, 16144, 46702, 59983, 66115, 17792, 30512, 72404, 105262, 5486, 17129, 30813, 20230, 118133, 17905, 31431, 98369, 113949, 10646, 72661, 101182, 16144, 38641, 9174, 87177, 29295, 77693, 79721, 29295, 5486, 47653, 58850, 16144, 23187, 104577, 109853, 5486, 110382, 16556, 112825, 110904, 20230, 123011, 107436, 33334, 126145, 111476, 47653, 58850, 104023, 108931, 23530, 123727, 104356, 34048, 30512, 20834, 96356, 30590, 117408, 111482, 16144, 100909, 114318, 23187, 104577, 54926, 112973, 103192, 17129, 102800, 102083, 58942, 33541, 9174, 71289, 15682, 31431, 33334, 17905, 31431, 98369, 111482, 105459, 102677, 104468, 5486, 103424, 47884, 32977, 109161, 47884, 32977, 108931, 16144, 115389, 33503, 21105, 243, 30512, 77693, 108680, 33334, 110794, 111769, 92193, 7705, 16995, 78183, 106644, 30369, 5486, 108936, 109904, 102433, 17792, 103306, 16144, 16144, 25827, 102802, 31431, 30813, 114792, 76947, 108086, 5486, 106644, 19732, 31431, 30512, 32977, 76947, 30177, 54926, 105908, 108608, 113334, 38641, 9174, 110229, 29295, 47653, 58850, 15682, 102131, 77181, 124897, 9174, 47653, 58850, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 102052, 5486, 9080, 104680, 13177, 126238, 105714, 116690, 10646, 115991, 5486, 40053, 20230, 15120, 109835, 92776, 102404, 16144, 112997, 29220, 30512, 19361, 103792, 5486, 17129, 30813, 20230, 49409, 103293, 121200, 16144, 72237, 101198, 60868, 106696, 120950, 109755, 85791, 21105, 243, 107407, 16144, 38641, 9174, 47653, 58850, 108680, 15120, 119049, 102057, 226, 16556, 23039, 126660, 111482, 127282, 104157, 107515, 1811, 103031, 120577, 34171, 35083, 16144, 110135, 100499, 226, 30512, 53283, 31431, 106116, 17905, 16556, 103359, 105226, 30512, 114341, 100204, 30369, 118733, 5486, 105755, 126521, 111943, 103926, 116690, 16144, 102404, 77413, 29295, 103192, 109315, 116497, 38641, 1811, 88852, 16556, 50520, 111, 43032, 109768, 50834, 33541, 9174, 567, 126953, 58850, 10110, 50834, 107106, 33334, 103171, 120732, 34171, 35083, 19732, 106116, 103359, 105226, 198, 14711, 220, 20713, 59983, 49838, 105791, 16144, 105665, 15682, 113351, 111199, 16995, 198, 119869, 55031, 51330, 105933, 89151, 103350, 30512, 108044, 105262, 123017, 33334, 22957, 29295, 17129, 102800, 32149, 110241, 33121, 107515, 29295, 92193, 65459, 30926, 103350, 103195, 71689, 50338, 108323, 72342, 75694, 30369, 30512, 50928, 107515, 9174, 47653, 58850, 16144, 66378, 17599, 112, 15682, 36896, 71289, 30813, 21105, 251, 30297, 26854, 21405, 28190, 10110, 33334, 32977, 38144, 109669, 33503, 7705, 10646, 19732, 36896, 45923, 42634, 45923, 42634, 16144, 113351, 107809, 10110, 117591, 7705, 10646, 38641, 9174, 51330, 41920, 28190, 34171, 30512, 126843, 113954, 39926, 72315, 9174, 85707, 103359, 28190, 72661, 103926, 101067, 29295, 114652, 5486, 109020, 108680, 116622, 17792, 20230, 106691, 107001, 105933, 123646, 102860, 102540, 30813, 114792, 103836, 52591, 57207, 107407, 104466, 112391, 18655, 102204, 33541, 9174, 80673, 109453, 127282, 49838, 105791, 16556 ]
[ 71289, 30813, 106624, 38093, 87177, 117824, 16995, 106272, 5486, 120007, 16144, 91875, 50834, 30512, 113312, 105085, 103792, 16144, 38641, 9174, 120267, 109033, 58942, 104984, 36896, 64209, 125523, 119188, 104466, 91774, 72342, 32149, 107441, 5486, 115924, 115590, 26854, 124349, 99750, 30512, 19732, 103836, 117503, 38641, 9174, 58426, 113351, 111199, 30813, 15682, 5486, 113850, 103424, 115737, 104984, 109020, 108680, 78183, 126469, 50834, 33541, 1811, 119869, 15682, 71289, 30813, 106624, 111243, 5486, 33671, 30537, 20230, 115389, 103868, 19732, 34171, 35083, 16144, 109161, 30813, 30512, 101037, 96, 56965, 91774, 122101, 101200, 108176, 1811, 71208, 16144, 110366, 29295, 108038, 20230, 64209, 30512, 110008, 56051, 19732, 78183, 32149, 104984, 112160, 95221, 20230, 46034, 16144, 104328, 33503, 30512, 104328, 121710, 31431, 104196, 39926, 109749, 112973, 47653, 58850, 16144, 66378, 17599, 112, 102083, 105262, 123253, 9174, 827, 108437, 103359, 105226, 198, 125894, 76622, 113801, 123457, 45736, 107436, 72315, 124845, 5486, 103181, 109088, 123457, 45736, 107436, 72315, 92193, 123505, 66378, 20230, 101778, 102433, 120332, 104680, 20230, 51330, 28542, 15682, 112427, 58655, 39926, 33334, 50834, 33541, 9174, 108936, 112535, 101778, 102433, 108900, 16144, 111482, 102677, 104468, 5486, 119869, 15682, 106142, 121771, 57980, 27929, 57980, 27929, 102800, 107328, 27479, 30512, 108167, 106272, 32977, 5486, 33671, 30537, 20230, 64209, 125523, 16995, 100481, 47884, 101427, 122, 70141, 117083, 113637, 13177, 119869, 16144, 38574, 106090, 10646, 29295, 108008, 20230, 111108, 106624, 5486, 76537, 43514, 50338, 105784, 103296, 82973, 29295, 32149, 107277, 33541, 119520, 127637, 64209, 30512, 33035, 110027, 81219, 108948, 106483, 119178, 103001, 246, 49691, 121, 31431, 29295, 103470, 109020, 123017, 53900, 30926, 103350, 1811, 16995, 78183, 81219, 13177, 125894, 76622, 73686, 112495, 50834, 5486, 71634, 44971, 84477, 103926, 10646, 29295, 101778, 102433, 108900, 16144, 111943, 103926, 102083, 105262, 123253, 10110, 27452, 48915, 32977, 101182, 123253, 29295, 123505, 15120, 24273, 16556, 47653, 58850, 15682, 5486, 119869, 55031, 71289, 30813, 106624, 108882, 110993, 109904, 105879, 36896, 58942, 11571, 104328, 103701, 42891, 103306, 105464, 16144, 100909, 120111, 105321, 104446, 91006, 19732, 123737, 20230, 126845, 112854, 30512, 112854, 58942, 124545, 50834, 110706, 115991, 33541, 9174, 103350, 15682, 13177, 119869, 55031, 71289, 30813, 102800, 66383, 95604, 104468, 125894, 76622, 113801, 58426, 102944, 116787, 5486, 120007, 29295, 104754, 64889, 54926, 37795, 247, 10110, 17663, 50834, 7705, 104088, 38144, 15682, 30591, 33121, 85701, 17161, 106808, 30512, 16995, 100472, 31431, 105318, 56051, 31431, 119607, 117408, 16144, 38641, 9174, 53900, 45736, 109315, 125231, 103181, 109088, 48634, 107118, 36896, 76537, 43514, 50338, 76622, 106272, 32977, 124349, 30512, 22324, 47884, 66383, 95604, 46034, 25333, 16556, 117271, 125545, 1811, 31634, 54926, 20230, 5486, 78250, 27113, 113127, 64209, 125523, 102532, 103801, 76947, 15682, 109972, 76622, 126529, 38641, 9174, 113850, 126521, 105104, 31431, 30512, 21105, 103, 29295, 33503, 32977, 5486, 60596, 27113, 113127, 104195, 16144, 64209, 16144, 87447, 50834, 77913, 40862, 16556, 104650, 109315, 102677, 121837, 123410, 100909, 113468, 5486, 47653, 58850, 16144, 78183, 29295, 110674, 71289, 101427, 110, 110020, 5486, 21105, 96, 2243, 118, 104196, 15024, 113115, 54926, 112997, 29220, 108768, 26269, 76428, 117282, 116497, 38641, 9174, 14711, 220, 25963, 59983, 108729, 112535, 71493, 71493, 39880, 36827, 17297, 116787, 5486, 58850, 113797, 71208, 11239, 239, 16144, 102616, 198, 71208, 113797, 58850, 11239, 239, 107118, 114652, 104655, 47884, 112690, 77181, 57903, 33541, 29295, 5486, 47653, 58850, 110792, 116690, 121960, 15682, 40053, 20230, 111482, 29295, 17905, 115717, 33541, 9174, 108936, 112535, 5486, 108931, 102677, 113949, 15682, 111828, 71869, 106581, 29295, 58426, 75146, 104792, 20230, 57903, 5486, 111828, 71869, 126027, 13177, 15682, 103171, 31431, 10646, 56051, 34171, 35083, 29295, 102321, 31640, 105352, 58426, 110674, 101682, 76622, 120321, 29295, 115032, 16144, 38641, 9174, 111828, 71869, 102083, 116285, 114318, 112649, 47884, 123737, 15682, 112294, 104680, 106624, 124563, 57980, 26854, 57980, 56051, 58850, 104680, 21105, 243, 29295, 66378, 17599, 112, 9554, 125651, 1811, 111482, 15682, 107943, 5486, 123655, 32977, 69978, 28713, 101860, 20230, 34208, 104261, 71289, 115064, 112, 111896, 254, 10110, 76622, 109709, 7705, 16556, 109739, 104127, 122416, 107991, 111828, 71869, 16144, 123737, 30512, 73686, 42891, 105714, 107462, 47884, 109215, 115991, 79721, 9174, 103350, 104983, 102052, 37046, 29295, 29504, 77181, 111482, 16144, 36827, 105600, 16144, 9039, 15682, 19361, 102512, 123434, 108008, 20230, 43240, 47884, 5486, 21405, 28190, 17905, 15682, 111828, 71869, 29295, 117876, 30512, 103792, 104466, 91774, 58942, 106272, 32977, 111482, 29295, 107188, 111331, 105494, 30512, 46456, 58942, 101732, 102677, 114172, 102512, 107381, 103350, 115991, 33541, 9174, 103787, 101559, 16144, 118006, 118816, 5486, 111482, 29295, 46091, 59739, 64467, 121697, 38144, 112454, 31431, 30512, 75293, 59739, 102677, 112973, 108936, 109904, 104865, 110241, 33121, 107515, 29295, 5486, 111828, 71869, 16144, 102616, 77181, 122582, 40265, 38144, 15682, 109709, 107515, 9174, 19732, 105352, 32149, 47884, 105352, 5486, 102321, 31640, 121960, 32977, 47653, 58850, 16144, 118006, 127253, 117876, 17905, 113245, 112607, 48249, 15682, 115924, 27384, 38641, 1811, 108931, 16144, 92877, 124750, 114435, 77181, 111482, 61337, 101544, 96455, 29295, 108008, 20230, 126574, 1811, 112672, 5486, 108931, 16144, 123737, 127282, 111482, 16144, 16175, 119, 20230, 121536, 32149, 106824, 123726, 127280, 118844, 29295, 102321, 103350, 126529, 38641, 9174, 47653, 58850, 113115, 39926, 118133, 17129, 58942, 10646, 127173, 116547, 54926, 104309, 5486, 123737, 104622, 25129, 16144, 78244, 91875, 71289, 123120, 15682, 115924, 103359, 20230, 127762, 104004, 104466, 103801, 109954, 9174, 19732, 112649, 47884, 5486, 114308, 40862, 16995, 27704, 62004, 104984, 47653, 58850, 15682, 95221, 108176, 120266, 108149, 33121, 85701, 19732, 17161, 106808, 71289, 16995, 104702, 32977, 25827, 116825, 76622, 15682, 100204, 62004, 33541, 1811, 106984, 231, 161, 57923, 64209, 15682, 108008, 20230, 104195, 47884, 5486, 53900, 47653, 58850, 20230, 17161, 106808, 71289, 37689, 91774, 123410, 109335, 16906, 111, 108493, 102677, 25132, 108, 116310, 116499, 125210, 103836, 16144, 38641, 9174, 107430, 75267, 114556, 120837, 112361, 16556, 5486, 108931, 23530, 123727, 114435, 121960, 15682, 47653, 58850, 15682, 115924, 27384, 26854, 112607, 123457, 19361, 103792, 112973, 110219, 38641, 1811, 66378, 20230, 35330, 107086, 87217, 9554, 107734, 111017, 30512, 126020, 5486, 112686, 52927, 30512, 111665, 125398, 71689, 123737, 40452, 107430, 72661, 47653, 58850, 20230, 116900, 33503, 100472, 31431, 40526, 103899, 58942, 118765, 112973, 102321, 103350, 16144, 35894, 95221, 103306, 57903, 33541, 9174, 19732, 112649, 47884, 5486, 111482, 110366, 103195, 47653, 58850, 30512, 121697, 38144, 5486, 121697, 38144, 5486, 121697, 106307, 105784, 1811, 17161, 106808, 71289, 105856, 106053, 15682, 117952, 101860, 5486, 40053, 20230, 49838, 105791, 16556, 71289, 30813, 106624, 46456, 107290, 122765, 30369, 16144, 38641, 1811, 67016, 21105, 241, 33121, 120577, 107202, 23039, 107173, 16995, 105262, 13177, 111482, 111363, 95221, 55487, 31431, 10646, 117824, 30297, 118733, 5486, 47653, 58850, 127282, 89151, 28190, 30832, 20230, 5486, 123737, 16144, 113009, 122502, 50834, 33541, 1811, 46729, 30926, 101662, 116581, 116771, 105110, 101860, 5486, 91482, 76428, 102750, 22398, 17905, 72661, 5486, 123737, 20230, 124500, 76947, 114640, 122074, 123410, 104309, 5486, 108008, 20230, 121771, 17129, 102800, 9174, 17129, 30813, 20230, 47653, 58850, 107118, 71208, 16144, 107734, 111017, 30512, 78250, 27113, 27113, 8107, 71689, 28873, 28713, 39926, 105898, 107297, 53953, 126529, 38641, 9174, 14711, 220, 34617, 59983, 109755, 16995, 198, 32977, 15682, 71289, 20713, 59983, 25963, 59983, 113245, 44915, 55031, 5486, 34617, 59983, 16144, 13177, 109755, 16995, 10646, 109853, 15682, 122984, 113473, 123253, 92193, 23954, 19732, 112649, 47884, 109755, 16995, 38641, 1811, 40526, 103899, 58942, 54926, 109335, 108493, 26203, 234, 107809, 16144, 108493, 26203, 234, 38641, 1811, 27929, 32977, 27929, 32977, 111482, 113115, 39926, 44309, 123532, 54926, 112973, 40265, 115926, 25580, 102677, 37689, 109375, 114792, 76947, 61689, 55031, 5486, 110924, 33503, 102416, 25827, 15682, 113954, 39926, 122765, 38144, 72315, 101832, 9174, 103350, 15682, 47653, 58850, 29295, 110382, 103296, 119467, 47884, 5486, 71208, 58850, 56965, 16144, 116690, 121960, 115924, 103359, 109904, 112607, 48249, 30512, 19361, 103792, 16144, 102052, 114667, 115991, 33541, 109900, 15682, 111476, 13177, 47653, 71208, 29295, 30591, 109709, 105352, 36785, 33503, 21105, 103, 16995, 55031, 111329, 38641, 9174, 61826, 43032, 16144, 121640, 5486, 47653, 71208, 15682, 111828, 71869, 106581, 30512, 37271, 20230, 101682, 76622, 120321, 117201, 108086, 108048, 106644, 58942, 101983, 57980, 26854, 57980, 56051, 13177, 104328, 112294, 10646, 26854, 118013, 82912, 38641, 1811, 47653, 58850, 15682, 5486, 106548, 24273, 103470, 71208, 30512, 73686, 42891, 105714, 30369, 113009, 5486, 104195, 47884, 121771, 17129, 106624, 5486, 80539, 119467, 47884, 92193, 7705, 26854, 76947, 114604, 102677, 113334, 105321, 38641, 9174, 102677, 109335, 5486, 47653, 58850, 19732, 114308, 40862, 30297, 123737, 15682, 36896, 104328, 112294, 10646, 101983, 104984, 103424, 117714, 38641, 9174, 19732, 112649, 47884, 47653, 58850, 15682, 5486, 101083, 56965, 77181, 33334, 33334, 108005, 112, 33503, 20230, 102158, 102204, 15682, 103801, 72342, 25827, 29295, 5486, 22957, 107404, 16144, 105665, 77181, 13177, 99959, 39850, 71208, 10646, 29295, 53901, 112495, 16144, 38641, 1811, 99959, 39850, 26854, 71208, 20230, 81180, 234, 105262, 16144, 38641, 113637, 89151, 103350, 30512, 114093, 17620, 20230, 48154, 113954, 72315, 9174, 123737, 110366, 103306, 15682, 114318, 112649, 47884, 13177, 36785, 33503, 21105, 103, 16995, 59712, 104328, 112294, 10646, 5486, 80539, 13177, 110631, 58942, 25827, 121441, 117503, 34171, 35083, 104088, 127397, 122765, 38144, 72315, 1811, 47653, 58850, 15682, 102131, 16995, 100472, 71208, 104088, 38144, 120953, 119607, 126758, 26854, 56040, 19732, 17161, 106808, 30512, 120267, 106307, 76622, 106272, 32977, 103926, 40474, 114792, 76947, 114732, 102944, 126529, 38641, 9174, 90620, 15024, 5486, 106613, 111587, 112535, 37026, 80195, 21105, 103, 16995, 57326, 11972, 117739, 104309, 15682, 109606, 48915, 38641, 123405, 47884, 103296, 32335, 103167, 48249, 16144, 48864, 114172, 71289, 112686, 48634, 15682, 69978, 100472, 17905, 113245, 87177, 9174, 77693, 72661, 110631, 58942, 17129, 124089, 102677, 104468, 5486, 109134, 95221, 16144, 100604, 123726, 24273, 123410, 123737, 125030, 76947, 15682, 115003, 231, 102800, 87177, 38641, 123794, 9174, 567, 106369, 78183, 112586, 198, 118544, 29295, 16556, 56051, 32149, 9174, 47653, 58850, 16144, 101523, 227, 48634, 15682, 106116, 58666, 126325, 71289, 118013, 107084, 107875, 123160, 58666, 21105, 243, 32977, 102131, 119627, 123334, 15682, 31431, 13177, 95221, 16144, 104195, 30813, 10646, 71289, 13177, 109755, 30813, 10646, 20230, 57903, 33541, 9174, 111828, 71869, 106581, 20230, 27699, 116, 100472, 5486, 112294, 104680, 102800, 123737, 30512, 115847, 72661, 32149, 102677, 120264, 20230, 73686, 42891, 105714, 76947, 124089, 47653, 58850, 15682, 116898, 78183, 81219, 13177, 108931, 58850, 102512, 10646, 9174, 109453, 105459, 110792, 111943, 103926, 16144, 109243, 29245, 96, 15682, 103350, 20230, 110904, 116254, 1811, 126843, 15682, 34171, 35083, 30512, 53283, 31431, 5486, 103359, 105226, 30512, 114341, 100204, 30369, 100909, 126328, 100204, 107436, 72315, 1811, 102131, 126693, 105755, 126521, 116690, 30512, 113638, 105784, 100909, 5486, 109311, 76622, 40862, 16995, 38641, 57980, 6447, 128001, 128000, 13177, 110596, 24273, 16144, 14167, 100, 65854, 19732, 59739, 105722, 31431, 114622, 47095, 30512, 108285, 102639, 106956, 111329, 13177, 33122, 111813, 30512, 110191, 118372, 16556, 23039, 30297, 124122, 32335, 109431, 26854, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 30512, 53283, 31431, 106956, 111329, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 26955, 94, 27384, 16144, 117375, 114475, 76622, 37823, 102494, 84477, 102756, 105048, 29295, 115079, 58942, 100934, 37271, 5486, 114435, 16144, 112167, 101275, 112415, 15682, 198, 91482, 68408, 90962, 109933, 67075, 16144, 76706, 11883, 29295, 124490, 32149, 72342, 107515, 9174, 91482, 68408, 90962, 109933, 67075, 107118, 5486, 124773, 123437, 67075, 18904, 101911, 30512, 33035, 39926, 55723, 28190, 20230, 106482, 56051, 109544, 71289, 105335, 26269, 52591, 16144, 112741, 104088, 106272, 104612, 33710, 107507, 91062, 20230, 38093, 87177, 29295, 108608, 47260, 119263, 78683, 102663, 38248, 115, 78205, 119495, 64178, 38641, 1811, 122491, 70141, 76622, 16144, 91482, 68408, 90962, 109933, 67075, 102052, 121101, 20230, 107734, 80195, 59739, 121432, 29295, 104874, 116547, 5486, 38093, 104760, 71289, 101198, 117675, 94550, 16144, 102717, 32149, 5486, 33122, 111813, 71289, 14167, 100, 65854, 117271, 20230, 104622, 103468, 103223, 64178, 29295, 43240, 9039, 57903, 33541, 9174, 66378, 20230, 5486, 118899, 16144, 101427, 122, 70141, 103306, 127181, 112973, 111476, 33122, 111813, 71289, 14167, 100, 65854, 117271, 16144, 113009, 91482, 68408, 90962, 109933, 67075, 30512, 106839, 17701, 56051, 16995, 102677, 114435, 38641, 1811, 91482, 68408, 90962, 109933, 67075, 30512, 14167, 100, 65854, 117271, 20230, 76706, 11883, 54926, 118733, 88852, 120950, 39850, 37823, 67075, 30512, 50928, 110071, 103846, 38641, 9174, 80673, 5486, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 43240, 9039, 101182, 103846, 32335, 109431, 26854, 103223, 64178, 103306, 67645, 33121, 30512, 102647, 104369, 125231, 32149, 109440, 76947, 103801, 61689, 123794, 9174, 110924, 16556, 51330, 77219, 77181, 5486, 14167, 100, 65854, 117271, 16144, 113009, 91482, 68408, 90962, 109933, 67075, 30512, 106839, 17701, 56051, 16995, 102677, 114435, 121254, 107441, 33671, 16144, 106592, 50338, 108323, 109768, 50834, 33541, 9174, 51330, 77219, 30512, 98499, 62004, 81219, 78183, 117295, 100909, 198, 51330, 77219, 30512, 98499, 62004, 81219, 5486, 91482, 68408, 90962, 109933, 67075, 30512, 21105, 96, 107277, 19732, 113954, 103082, 5486, 37026, 61337, 125030, 76947, 32335, 109431, 26854, 103223, 64178, 30512, 102647, 103854, 30369, 101200, 115717, 33541, 1811, 112371, 104328, 114626, 103296, 33334, 98499, 64121, 72315, 9174, 30832, 33671, 198, 12, 220, 16, 220, 16, 13, 91482, 68408, 90962, 109933, 67075 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 71289, 30813, 106624, 38093, 87177, 117824, 16995, 106272, 5486, 120007, 16144, 91875, 50834, 30512, 113312, 105085, 103792, 16144, 38641, 9174, 120267, 109033, 58942, 104984, 36896, 64209, 125523, 119188, 104466, 91774, 72342, 32149, 107441, 5486, 115924, 115590, 26854, 124349, 99750, 30512, 19732, 103836, 117503, 38641, 9174, 58426, 113351, 111199, 30813, 15682, 5486, 113850, 103424, 115737, 104984, 109020, 108680, 78183, 126469, 50834, 33541, 1811, 119869, 15682, 71289, 30813, 106624, 111243, 5486, 33671, 30537, 20230, 115389, 103868, 19732, 34171, 35083, 16144, 109161, 30813, 30512, 101037, 96, 56965, 91774, 122101, 101200, 108176, 1811, 71208, 16144, 110366, 29295, 108038, 20230, 64209, 30512, 110008, 56051, 19732, 78183, 32149, 104984, 112160, 95221, 20230, 46034, 16144, 104328, 33503, 30512, 104328, 121710, 31431, 104196, 39926, 109749, 112973, 47653, 58850, 16144, 66378, 17599, 112, 102083, 105262, 123253, 9174, 827, 108437, 103359, 105226, 198, 125894, 76622, 113801, 123457, 45736, 107436, 72315, 124845, 5486, 103181, 109088, 123457, 45736, 107436, 72315, 92193, 123505, 66378, 20230, 101778, 102433, 120332, 104680, 20230, 51330, 28542, 15682, 112427, 58655, 39926, 33334, 50834, 33541, 9174, 108936, 112535, 101778, 102433, 108900, 16144, 111482, 102677, 104468, 5486, 119869, 15682, 106142, 121771, 57980, 27929, 57980, 27929, 102800, 107328, 27479, 30512, 108167, 106272, 32977, 5486, 33671, 30537, 20230, 64209, 125523, 16995, 100481, 47884, 101427, 122, 70141, 117083, 113637, 13177, 119869, 16144, 38574, 106090, 10646, 29295, 108008, 20230, 111108, 106624, 5486, 76537, 43514, 50338, 105784, 103296, 82973, 29295, 32149, 107277, 33541, 119520, 127637, 64209, 30512, 33035, 110027, 81219, 108948, 106483, 119178, 103001, 246, 49691, 121, 31431, 29295, 103470, 109020, 123017, 53900, 30926, 103350, 1811, 16995, 78183, 81219, 13177, 125894, 76622, 73686, 112495, 50834, 5486, 71634, 44971, 84477, 103926, 10646, 29295, 101778, 102433, 108900, 16144, 111943, 103926, 102083, 105262, 123253, 10110, 27452, 48915, 32977, 101182, 123253, 29295, 123505, 15120, 24273, 16556, 47653, 58850, 15682, 5486, 119869, 55031, 71289, 30813, 106624, 108882, 110993, 109904, 105879, 36896, 58942, 11571, 104328, 103701, 42891, 103306, 105464, 16144, 100909, 120111, 105321, 104446, 91006, 19732, 123737, 20230, 126845, 112854, 30512, 112854, 58942, 124545, 50834, 110706, 115991, 33541, 9174, 103350, 15682, 13177, 119869, 55031, 71289, 30813, 102800, 66383, 95604, 104468, 125894, 76622, 113801, 58426, 102944, 116787, 5486, 120007, 29295, 104754, 64889, 54926, 37795, 247, 10110, 17663, 50834, 7705, 104088, 38144, 15682, 30591, 33121, 85701, 17161, 106808, 30512, 16995, 100472, 31431, 105318, 56051, 31431, 119607, 117408, 16144, 38641, 9174, 53900, 45736, 109315, 125231, 103181, 109088, 48634, 107118, 36896, 76537, 43514, 50338, 76622, 106272, 32977, 124349, 30512, 22324, 47884, 66383, 95604, 46034, 25333, 16556, 117271, 125545, 1811, 31634, 54926, 20230, 5486, 78250, 27113, 113127, 64209, 125523, 102532, 103801, 76947, 15682, 109972, 76622, 126529, 38641, 9174, 113850, 126521, 105104, 31431, 30512, 21105, 103, 29295, 33503, 32977, 5486, 60596, 27113, 113127, 104195, 16144, 64209, 16144, 87447, 50834, 77913, 40862, 16556, 104650, 109315, 102677, 121837, 123410, 100909, 113468, 5486, 47653, 58850, 16144, 78183, 29295, 110674, 71289, 101427, 110, 110020, 5486, 21105, 96, 2243, 118, 104196, 15024, 113115, 54926, 112997, 29220, 108768, 26269, 76428, 117282, 116497, 38641, 9174, 14711, 220, 25963, 59983, 108729, 112535, 71493, 71493, 39880, 36827, 17297, 116787, 5486, 58850, 113797, 71208, 11239, 239, 16144, 102616, 198, 71208, 113797, 58850, 11239, 239, 107118, 114652, 104655, 47884, 112690, 77181, 57903, 33541, 29295, 5486, 47653, 58850, 110792, 116690, 121960, 15682, 40053, 20230, 111482, 29295, 17905, 115717, 33541, 9174, 108936, 112535, 5486, 108931, 102677, 113949, 15682, 111828, 71869, 106581, 29295, 58426, 75146, 104792, 20230, 57903, 5486, 111828, 71869, 126027, 13177, 15682, 103171, 31431, 10646, 56051, 34171, 35083, 29295, 102321, 31640, 105352, 58426, 110674, 101682, 76622, 120321, 29295, 115032, 16144, 38641, 9174, 111828, 71869, 102083, 116285, 114318, 112649, 47884, 123737, 15682, 112294, 104680, 106624, 124563, 57980, 26854, 57980, 56051, 58850, 104680, 21105, 243, 29295, 66378, 17599, 112, 9554, 125651, 1811, 111482, 15682, 107943, 5486, 123655, 32977, 69978, 28713, 101860, 20230, 34208, 104261, 71289, 115064, 112, 111896, 254, 10110, 76622, 109709, 7705, 16556, 109739, 104127, 122416, 107991, 111828, 71869, 16144, 123737, 30512, 73686, 42891, 105714, 107462, 47884, 109215, 115991, 79721, 9174, 103350, 104983, 102052, 37046, 29295, 29504, 77181, 111482, 16144, 36827, 105600, 16144, 9039, 15682, 19361, 102512, 123434, 108008, 20230, 43240, 47884, 5486, 21405, 28190, 17905, 15682, 111828, 71869, 29295, 117876, 30512, 103792, 104466, 91774, 58942, 106272, 32977, 111482, 29295, 107188, 111331, 105494, 30512, 46456, 58942, 101732, 102677, 114172, 102512, 107381, 103350, 115991, 33541, 9174, 103787, 101559, 16144, 118006, 118816, 5486, 111482, 29295, 46091, 59739, 64467, 121697, 38144, 112454, 31431, 30512, 75293, 59739, 102677, 112973, 108936, 109904, 104865, 110241, 33121, 107515, 29295, 5486, 111828, 71869, 16144, 102616, 77181, 122582, 40265, 38144, 15682, 109709, 107515, 9174, 19732, 105352, 32149, 47884, 105352, 5486, 102321, 31640, 121960, 32977, 47653, 58850, 16144, 118006, 127253, 117876, 17905, 113245, 112607, 48249, 15682, 115924, 27384, 38641, 1811, 108931, 16144, 92877, 124750, 114435, 77181, 111482, 61337, 101544, 96455, 29295, 108008, 20230, 126574, 1811, 112672, 5486, 108931, 16144, 123737, 127282, 111482, 16144, 16175, 119, 20230, 121536, 32149, 106824, 123726, 127280, 118844, 29295, 102321, 103350, 126529, 38641, 9174, 47653, 58850, 113115, 39926, 118133, 17129, 58942, 10646, 127173, 116547, 54926, 104309, 5486, 123737, 104622, 25129, 16144, 78244, 91875, 71289, 123120, 15682, 115924, 103359, 20230, 127762, 104004, 104466, 103801, 109954, 9174, 19732, 112649, 47884, 5486, 114308, 40862, 16995, 27704, 62004, 104984, 47653, 58850, 15682, 95221, 108176, 120266, 108149, 33121, 85701, 19732, 17161, 106808, 71289, 16995, 104702, 32977, 25827, 116825, 76622, 15682, 100204, 62004, 33541, 1811, 106984, 231, 161, 57923, 64209, 15682, 108008, 20230, 104195, 47884, 5486, 53900, 47653, 58850, 20230, 17161, 106808, 71289, 37689, 91774, 123410, 109335, 16906, 111, 108493, 102677, 25132, 108, 116310, 116499, 125210, 103836, 16144, 38641, 9174, 107430, 75267, 114556, 120837, 112361, 16556, 5486, 108931, 23530, 123727, 114435, 121960, 15682, 47653, 58850, 15682, 115924, 27384, 26854, 112607, 123457, 19361, 103792, 112973, 110219, 38641, 1811, 66378, 20230, 35330, 107086, 87217, 9554, 107734, 111017, 30512, 126020, 5486, 112686, 52927, 30512, 111665, 125398, 71689, 123737, 40452, 107430, 72661, 47653, 58850, 20230, 116900, 33503, 100472, 31431, 40526, 103899, 58942, 118765, 112973, 102321, 103350, 16144, 35894, 95221, 103306, 57903, 33541, 9174, 19732, 112649, 47884, 5486, 111482, 110366, 103195, 47653, 58850, 30512, 121697, 38144, 5486, 121697, 38144, 5486, 121697, 106307, 105784, 1811, 17161, 106808, 71289, 105856, 106053, 15682, 117952, 101860, 5486, 40053, 20230, 49838, 105791, 16556, 71289, 30813, 106624, 46456, 107290, 122765, 30369, 16144, 38641, 1811, 67016, 21105, 241, 33121, 120577, 107202, 23039, 107173, 16995, 105262, 13177, 111482, 111363, 95221, 55487, 31431, 10646, 117824, 30297, 118733, 5486, 47653, 58850, 127282, 89151, 28190, 30832, 20230, 5486, 123737, 16144, 113009, 122502, 50834, 33541, 1811, 46729, 30926, 101662, 116581, 116771, 105110, 101860, 5486, 91482, 76428, 102750, 22398, 17905, 72661, 5486, 123737, 20230, 124500, 76947, 114640, 122074, 123410, 104309, 5486, 108008, 20230, 121771, 17129, 102800, 9174, 17129, 30813, 20230, 47653, 58850, 107118, 71208, 16144, 107734, 111017, 30512, 78250, 27113, 27113, 8107, 71689, 28873, 28713, 39926, 105898, 107297, 53953, 126529, 38641, 9174, 14711, 220, 34617, 59983, 109755, 16995, 198, 32977, 15682, 71289, 20713, 59983, 25963, 59983, 113245, 44915, 55031, 5486, 34617, 59983, 16144, 13177, 109755, 16995, 10646, 109853, 15682, 122984, 113473, 123253, 92193, 23954, 19732, 112649, 47884, 109755, 16995, 38641, 1811, 40526, 103899, 58942, 54926, 109335, 108493, 26203, 234, 107809, 16144, 108493, 26203, 234, 38641, 1811, 27929, 32977, 27929, 32977, 111482, 113115, 39926, 44309, 123532, 54926, 112973, 40265, 115926, 25580, 102677, 37689, 109375, 114792, 76947, 61689, 55031, 5486, 110924, 33503, 102416, 25827, 15682, 113954, 39926, 122765, 38144, 72315, 101832, 9174, 103350, 15682, 47653, 58850, 29295, 110382, 103296, 119467, 47884, 5486, 71208, 58850, 56965, 16144, 116690, 121960, 115924, 103359, 109904, 112607, 48249, 30512, 19361, 103792, 16144, 102052, 114667, 115991, 33541, 109900, 15682, 111476, 13177, 47653, 71208, 29295, 30591, 109709, 105352, 36785, 33503, 21105, 103, 16995, 55031, 111329, 38641, 9174, 61826, 43032, 16144, 121640, 5486, 47653, 71208, 15682, 111828, 71869, 106581, 30512, 37271, 20230, 101682, 76622, 120321, 117201, 108086, 108048, 106644, 58942, 101983, 57980, 26854, 57980, 56051, 13177, 104328, 112294, 10646, 26854, 118013, 82912, 38641, 1811, 47653, 58850, 15682, 5486, 106548, 24273, 103470, 71208, 30512, 73686, 42891, 105714, 30369, 113009, 5486, 104195, 47884, 121771, 17129, 106624, 5486, 80539, 119467, 47884, 92193, 7705, 26854, 76947, 114604, 102677, 113334, 105321, 38641, 9174, 102677, 109335, 5486, 47653, 58850, 19732, 114308, 40862, 30297, 123737, 15682, 36896, 104328, 112294, 10646, 101983, 104984, 103424, 117714, 38641, 9174, 19732, 112649, 47884, 47653, 58850, 15682, 5486, 101083, 56965, 77181, 33334, 33334, 108005, 112, 33503, 20230, 102158, 102204, 15682, 103801, 72342, 25827, 29295, 5486, 22957, 107404, 16144, 105665, 77181, 13177, 99959, 39850, 71208, 10646, 29295, 53901, 112495, 16144, 38641, 1811, 99959, 39850, 26854, 71208, 20230, 81180, 234, 105262, 16144, 38641, 113637, 89151, 103350, 30512, 114093, 17620, 20230, 48154, 113954, 72315, 9174, 123737, 110366, 103306, 15682, 114318, 112649, 47884, 13177, 36785, 33503, 21105, 103, 16995, 59712, 104328, 112294, 10646, 5486, 80539, 13177, 110631, 58942, 25827, 121441, 117503, 34171, 35083, 104088, 127397, 122765, 38144, 72315, 1811, 47653, 58850, 15682, 102131, 16995, 100472, 71208, 104088, 38144, 120953, 119607, 126758, 26854, 56040, 19732, 17161, 106808, 30512, 120267, 106307, 76622, 106272, 32977, 103926, 40474, 114792, 76947, 114732, 102944, 126529, 38641, 9174, 90620, 15024, 5486, 106613, 111587, 112535, 37026, 80195, 21105, 103, 16995, 57326, 11972, 117739, 104309, 15682, 109606, 48915, 38641, 123405, 47884, 103296, 32335, 103167, 48249, 16144, 48864, 114172, 71289, 112686, 48634, 15682, 69978, 100472, 17905, 113245, 87177, 9174, 77693, 72661, 110631, 58942, 17129, 124089, 102677, 104468, 5486, 109134, 95221, 16144, 100604, 123726, 24273, 123410, 123737, 125030, 76947, 15682, 115003, 231, 102800, 87177, 38641, 123794, 9174, 567, 106369, 78183, 112586, 198, 118544, 29295, 16556, 56051, 32149, 9174, 47653, 58850, 16144, 101523, 227, 48634, 15682, 106116, 58666, 126325, 71289, 118013, 107084, 107875, 123160, 58666, 21105, 243, 32977, 102131, 119627, 123334, 15682, 31431, 13177, 95221, 16144, 104195, 30813, 10646, 71289, 13177, 109755, 30813, 10646, 20230, 57903, 33541, 9174, 111828, 71869, 106581, 20230, 27699, 116, 100472, 5486, 112294, 104680, 102800, 123737, 30512, 115847, 72661, 32149, 102677, 120264, 20230, 73686, 42891, 105714, 76947, 124089, 47653, 58850, 15682, 116898, 78183, 81219, 13177, 108931, 58850, 102512, 10646, 9174, 109453, 105459, 110792, 111943, 103926, 16144, 109243, 29245, 96, 15682, 103350, 20230, 110904, 116254, 1811, 126843, 15682, 34171, 35083, 30512, 53283, 31431, 5486, 103359, 105226, 30512, 114341, 100204, 30369, 100909, 126328, 100204, 107436, 72315, 1811, 102131, 126693, 105755, 126521, 116690, 30512, 113638, 105784, 100909, 5486, 109311, 76622, 40862, 16995, 38641, 57980, 6447, 128001, 128000, 13177, 110596, 24273, 16144, 14167, 100, 65854, 19732, 59739, 105722, 31431, 114622, 47095, 30512, 108285, 102639, 106956, 111329, 13177, 33122, 111813, 30512, 110191, 118372, 16556, 23039, 30297, 124122, 32335, 109431, 26854, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 30512, 53283, 31431, 106956, 111329, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 26955, 94, 27384, 16144, 117375, 114475, 76622, 37823, 102494, 84477, 102756, 105048, 29295, 115079, 58942, 100934, 37271, 5486, 114435, 16144, 112167, 101275, 112415, 15682, 198, 91482, 68408, 90962, 109933, 67075, 16144, 76706, 11883, 29295, 124490, 32149, 72342, 107515, 9174, 91482, 68408, 90962, 109933, 67075, 107118, 5486, 124773, 123437, 67075, 18904, 101911, 30512, 33035, 39926, 55723, 28190, 20230, 106482, 56051, 109544, 71289, 105335, 26269, 52591, 16144, 112741, 104088, 106272, 104612, 33710, 107507, 91062, 20230, 38093, 87177, 29295, 108608, 47260, 119263, 78683, 102663, 38248, 115, 78205, 119495, 64178, 38641, 1811, 122491, 70141, 76622, 16144, 91482, 68408, 90962, 109933, 67075, 102052, 121101, 20230, 107734, 80195, 59739, 121432, 29295, 104874, 116547, 5486, 38093, 104760, 71289, 101198, 117675, 94550, 16144, 102717, 32149, 5486, 33122, 111813, 71289, 14167, 100, 65854, 117271, 20230, 104622, 103468, 103223, 64178, 29295, 43240, 9039, 57903, 33541, 9174, 66378, 20230, 5486, 118899, 16144, 101427, 122, 70141, 103306, 127181, 112973, 111476, 33122, 111813, 71289, 14167, 100, 65854, 117271, 16144, 113009, 91482, 68408, 90962, 109933, 67075, 30512, 106839, 17701, 56051, 16995, 102677, 114435, 38641, 1811, 91482, 68408, 90962, 109933, 67075, 30512, 14167, 100, 65854, 117271, 20230, 76706, 11883, 54926, 118733, 88852, 120950, 39850, 37823, 67075, 30512, 50928, 110071, 103846, 38641, 9174, 80673, 5486, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 43240, 9039, 101182, 103846, 32335, 109431, 26854, 103223, 64178, 103306, 67645, 33121, 30512, 102647, 104369, 125231, 32149, 109440, 76947, 103801, 61689, 123794, 9174, 110924, 16556, 51330, 77219, 77181, 5486, 14167, 100, 65854, 117271, 16144, 113009, 91482, 68408, 90962, 109933, 67075, 30512, 106839, 17701, 56051, 16995, 102677, 114435, 121254, 107441, 33671, 16144, 106592, 50338, 108323, 109768, 50834, 33541, 9174, 51330, 77219, 30512, 98499, 62004, 81219, 78183, 117295, 100909, 198, 51330, 77219, 30512, 98499, 62004, 81219, 5486, 91482, 68408, 90962, 109933, 67075, 30512, 21105, 96, 107277, 19732, 113954, 103082, 5486, 37026, 61337, 125030, 76947, 32335, 109431, 26854, 103223, 64178, 30512, 102647, 103854, 30369, 101200, 115717, 33541, 1811, 112371, 104328, 114626, 103296, 33334, 98499, 64121, 72315, 9174, 30832, 33671, 198, 12, 220, 16, 220, 16, 13, 91482, 68408, 90962, 109933, 67075 ]
[ 107118, 198, 12, 220, 17, 220, 17, 13, 11144, 14167, 100, 65854, 117271, 11199, 91482, 68408, 90962, 109933, 67075, 16144, 39850, 37823, 67075, 198, 12, 220, 18, 220, 18, 13, 11144, 14167, 100, 65854, 117271, 11199, 91482, 68408, 90962, 109933, 67075, 16144, 68408, 39850, 37823, 67075, 198, 12, 220, 19, 220, 19, 13, 21388, 113529, 21105, 103, 16995, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 102647, 102802, 24273, 198, 12, 220, 20, 220, 20, 13, 33334, 125683, 62004, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 198, 12, 220, 21, 220, 60596, 13, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 56051, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 16556, 33334, 101128, 102, 64121, 120332, 15682, 127637, 48154, 50021, 111813, 72315, 198, 12, 220, 22, 220, 123011, 62004, 198, 16, 13, 91482, 68408, 90962, 109933, 67075, 107118, 198, 112798, 103892, 72661, 50338, 108323, 56051, 19732, 108086, 5486, 91482, 68408, 90962, 109933, 67075, 107118, 111476, 124773, 123437, 67075, 18904, 101911, 30512, 33035, 39926, 106482, 66201, 104088, 106272, 104612, 33710, 107507, 91062, 20230, 38093, 87177, 29295, 108608, 47260, 119263, 78683, 102663, 38248, 115, 78205, 119495, 64178, 38641, 1811, 80805, 102741, 109713, 71289, 47307, 52884, 123167, 5486, 124131, 103927, 124905, 76947, 5486, 16, 103359, 16, 125845, 43240, 17792, 9039, 113245, 91482, 68408, 90962, 33035, 87177, 29295, 88367, 121711, 33541, 9174, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 43240, 104091, 104770, 57903, 33541, 29295, 5486, 19360, 38093, 104760, 5486, 111234, 91482, 118567, 5486, 33122, 111813, 5486, 76537, 40862, 72342, 5486, 14167, 100, 65854, 117271, 9458, 60868, 121057, 220, 104309, 104874, 78183, 30369, 121432, 113468, 127742, 115991, 33541, 9174, 103350, 104983, 20230, 5486, 91482, 68408, 90962, 109933, 67075, 30512, 91482, 76428, 102750, 22398, 20230, 76706, 11883, 54926, 118733, 67645, 103171, 105908, 103350, 102321, 108608, 105879, 109954, 32149, 1811, 33671, 16144, 46028, 16556, 50338, 108323, 109768, 50834, 33541, 9174, 16, 12, 16, 13, 91482, 68408, 90962, 109933, 67075, 16556, 103350, 102321, 108608, 100909, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 30512, 76706, 11883, 54926, 118733, 115847, 103296, 37507, 72516, 5486, 37507, 61337, 5486, 120824, 99397, 113468, 23039, 123671, 101732, 64810, 64178, 22398, 30512, 110191, 118372, 20230, 57207, 112508, 54926, 105908, 88367, 38641, 9174, 118789, 9554, 102052, 5486, 88852, 120950, 105908, 91482, 68408, 90962, 109933, 67075, 16556, 103350, 102321, 125545, 9174, 9458, 107289, 16073, 118372, 16556, 110596, 24273, 16144, 29220, 102803, 39880, 52414, 19732, 33122, 111813, 63415, 107289, 16073, 118372, 16556, 103359, 28190, 72342, 101860, 20230, 30177, 65854, 63415, 107289, 16073, 118372, 111848, 102208, 104091, 47260, 64178, 120690, 117271, 198, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 9174, 16, 12, 16, 12, 16, 13, 38093, 104760, 16144, 126120, 96455, 33208, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 106839, 17701, 112212, 38093, 104760, 16144, 126120, 96455, 33208, 30512, 103350, 102321, 125545, 1811, 37026, 110362, 71289, 48915, 20834, 61826, 5486, 20834, 105714, 61826, 55031, 32977, 38093, 104760, 117158, 105350, 103082, 5486, 9039, 17792, 113245, 101198, 117675, 94550, 55031, 119436, 9039, 113245, 38093, 104760, 103296, 88367, 38641, 1811, 55723, 28190, 55999, 19361, 71289, 104774, 106696, 55999, 19361, 121432, 124905, 116285, 126120, 96455, 112535, 109544, 16144, 55999, 19361, 32977, 23039, 58942, 33541, 9174, 16, 12, 16, 12, 17, 13, 110191, 118372, 33122, 111813, 198, 91482, 68408, 90962, 109933, 67075, 124905, 116285, 5486, 110596, 24273, 20230, 107991, 29220, 102803, 39880, 52414, 19732, 109467, 38093, 30297, 100909, 103470, 124773, 123437, 67075, 30512, 33035, 100204, 38144, 33122, 111813, 54926, 105908, 88367, 38641, 1811, 33122, 111813, 30512, 35757, 113764, 20230, 103130, 109315, 124122, 118969, 75694, 17129, 26854, 60868, 121057, 121432, 107407, 103223, 64178, 32977, 43240, 47884, 5486, 112167, 101275, 112415, 16144, 126120, 96455, 33208, 30512, 103350, 102321, 125545, 9174, 16, 12, 16, 12, 18, 13, 110191, 118372, 30177, 65854, 198, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 56051, 110191, 118372, 17905, 113245, 30177, 65854, 29295, 88367, 38641, 1811, 14167, 100, 65854, 19732, 30177, 109835, 72342, 101860, 20230, 30177, 65854, 29295, 108608, 105879, 99750, 108208, 111571, 103359, 105226, 103306, 19361, 126120, 26854, 30297, 58942, 5486, 110596, 24273, 16144, 14167, 100, 65854, 113115, 39926, 39880, 107420, 113335, 54926, 105908, 125545, 9174, 16, 12, 16, 12, 19, 13, 110191, 118372, 111848, 102208, 104091, 47260, 64178, 120690, 117271, 198, 85701, 103296, 117384, 116771, 16556, 106608, 103359, 107113, 102208, 104091, 117271, 114556, 120837, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 30512, 107740, 56051, 103768, 112167, 112212, 126120, 96455, 109904, 103768, 112167, 29295, 88367, 115717, 33541, 118844, 103296, 16144, 79785, 71174, 116771, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 103378, 77181, 5486, 14167, 100, 65854, 110366, 32977, 102321, 103397, 111681, 104482, 16144, 122984, 20230, 82973, 29295, 32149, 32149, 107462, 79721, 9174, 90962, 99695, 44971, 120770, 19732, 14167, 100, 65854, 29295, 55723, 28190, 16556, 59739, 105722, 30369, 118733, 5486, 14167, 100, 65854, 29295, 22324, 32149, 115032, 127749, 104309, 30512, 46034, 24186, 117083, 47043, 71289, 4977, 9458, 124131, 103927, 16144, 76739, 109554, 55723, 28190, 30512, 55999, 19361, 54926, 100909, 112212, 5486, 90962, 99695, 44971, 120770, 29295, 72238, 103856, 47884, 127749, 30512, 102178, 111665, 15024, 50338, 104662, 121254, 107674, 122521, 123410, 104309, 5486, 79785, 71174, 116771, 16556, 117271, 54926, 126036, 35083, 38574, 20230, 22398, 91062, 106240, 26854, 71289, 31431, 108167, 30512, 103350, 102321, 125545, 9174, 17, 13, 11144, 14167, 100, 65854, 117271, 11199, 91482, 68408, 90962, 109933, 67075, 16144, 39850, 37823, 67075, 198, 14167, 100, 65854, 117271, 20230, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 112990, 88852, 16144, 19, 118821, 39850, 37823, 67075, 115991, 33541, 9174, 9458, 76771, 119, 91875, 82973, 19732, 109060, 106382, 16144, 21403, 232, 114485, 29295, 108608, 63415, 108791, 102741, 61398, 9458, 22398, 62903, 33710, 30512, 19361, 126120, 76706, 11883, 108608, 101200, 108176, 63415, 117737, 78943, 33857, 16144, 127181, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 18655, 104028, 198, 77693, 108422, 33121, 50520, 111, 106624, 91774, 38144, 64121, 17129, 109954, 9174, 17, 12, 16, 13, 116245, 30512, 102647, 81219, 101860, 38093, 104760, 9458, 33122, 111813, 9458, 30177, 65854, 29295, 108608, 198, 91482, 68408, 90962, 109933, 67075, 16144, 112366, 16144, 39850, 37823, 67075, 15682, 111476, 124773, 123437, 67075, 20230, 30177, 106307, 30813, 58942, 103082, 104984, 108064, 72661, 116414, 72661, 33122, 111813, 71289, 30177, 65854, 29295, 88367, 108176, 100909, 38641, 9174, 66776, 30177, 109835, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 103846, 5486, 99750, 108208, 111571, 103359, 105226, 20230, 19361, 126120, 26854, 17905, 5486, 127284, 29295, 113473, 108176, 118733, 13177, 110596, 24273, 16144, 103846, 37507, 72516, 29295, 111108, 102800, 59712, 127032, 29295, 31809, 65316, 105879, 37507, 72516, 15024, 20230, 47884, 16995, 66383, 16995, 100472, 14167, 100, 65854, 111363, 39880, 107420, 113335, 32977, 46034, 117355, 20230, 108608, 101200, 115717, 33541, 9174, 53900, 5486, 91482, 68408, 90962, 109933, 67075, 121432, 30512, 76706, 11883, 39926, 5486, 103350, 53953, 16144, 47043, 30512, 106482, 15024, 118158, 31431, 5486, 55723, 28190, 17905, 16556, 80805, 118804, 123167, 30512, 55999, 19361, 39926, 116718, 20230, 122984, 103082, 115926, 104309, 5486, 103359, 28190, 20230, 73686, 76622, 30512, 18655, 110104, 22398, 91062, 106240, 26854, 33122, 111813, 71289, 30177, 65854, 29295, 88367, 38641, 9174, 17, 12, 17, 13, 127284, 82973, 9458, 109060, 106382, 104309, 47260, 71634, 16144, 21403, 232, 114485, 29295, 108608, 198, 17, 59739, 118322, 39850, 37823, 67075, 15682, 5486, 127284, 82973, 71289, 109060, 106382, 123160, 47260, 71634, 30512, 21403, 232, 114485, 108608, 100909, 38641, 9174, 127284, 82973, 29295, 114485, 30369, 118733, 29172, 81742, 109544, 16144, 19967, 13153, 82973, 20230, 33655, 107800, 31431, 5486, 30177, 65854, 82973, 30512, 115079, 71289, 39926, 16, 17792, 72661, 43240, 119064, 14167, 100, 65854, 113115, 106608, 54926, 105908, 88367, 121711, 5486, 21990, 106518, 34171, 70141, 17905, 107294, 105722, 31431, 33541, 9174, 53900, 5486, 127284, 16144, 124122, 109060, 106382, 5486, 109249, 117856, 106382, 5486, 38093, 104760, 102452, 107740, 42506, 104309, 30512, 21403, 232, 114485, 103082, 110745, 111044, 26854, 47260, 71634, 107792, 103664, 105352, 59739, 105722, 31431, 33541, 9174, 17, 12, 18, 13, 37823, 102741, 61398, 9458, 22398, 62903, 33710, 30512, 19361, 126120, 76706, 11883, 108608, 101200, 108176, 198, 18, 59739, 118322, 39850, 37823, 67075, 15682, 5486, 37823, 102741, 61398, 9458, 22398, 62903, 33710, 30512, 19361, 126120, 76706, 11883, 108608, 100909, 38641, 9174, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 54926, 118733, 30177, 65854, 71289, 33122, 111813, 54926, 110366, 16144, 105335, 26269, 52591, 15682, 5486, 116414, 55031, 72661, 30177, 65854, 29295, 88367, 121711, 33541, 1811, 45829, 101662, 38144, 16325, 16144, 111482, 72661, 37026, 110362, 55031, 22398, 62903, 33710, 30512, 102404, 127327, 56051, 31431, 5486, 106848, 104309, 111717, 116414, 55031, 72661, 106613, 111186, 71289, 53283, 109375, 30512, 102404, 127327, 108608, 101200, 115717, 33541, 9174, 105335, 26269, 52591, 29295, 116414, 20230, 102532, 32977, 59739, 105722, 104028, 101200, 108176, 118733, 37271, 103296, 21990, 32149, 21105, 235, 33121, 101860, 20230, 102334, 37823, 102741, 61398, 71289, 22398, 62903, 33710, 30512, 19361, 126120, 76706, 11883, 125545, 9174, 17, 12, 19, 13, 108134, 33857, 16144, 127181, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 18655, 104028, 198, 19, 59739, 118322, 39850, 37823, 67075, 15682, 5486, 108134, 33857, 16144, 127181, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 104028, 100909, 38641, 9174, 91482, 68408, 90962, 109933, 67075, 15682, 5486, 57933, 62903, 71634, 9458, 79785, 71174, 9458, 106482, 66201, 9458, 55723, 28190, 55999, 19361, 104309, 16556, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 108608, 103846, 112160, 27479, 20230, 108044, 58942, 110071, 108134, 33857, 29295, 127181, 112973, 66378, 17599, 112, 38641, 1811, 79785, 71174, 103378, 77181, 108044, 78183, 110104, 125641, 71289, 127749, 104309, 32977, 108044, 58942, 126172, 16995, 38641, 9174, 126238, 105047, 30512, 31634, 54926, 107803, 16144, 117271, 72661, 5486, 91482, 68408, 90962, 33035, 87177, 116825, 100604, 72661, 33503, 30297, 100909, 38641, 104699, 20230, 120007, 16144, 127749, 30512, 113954, 56051, 17905, 113245, 117271, 117824, 30297, 105908, 88367, 38641, 1811, 19360, 38093, 104760, 71289, 33122, 111813, 5486, 112167, 101275, 72661, 22398, 91062, 106240, 20230, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 111629, 30369, 105908, 125545, 9174, 18, 13, 11144, 14167, 100, 65854, 117271, 11199, 91482, 68408, 90962, 109933, 67075, 16144, 68408, 39850, 37823, 67075, 198, 91482, 68408, 90962, 109933, 67075, 102052, 88852, 120950, 68408, 39850, 37823, 67075, 32977, 48706, 78434, 9174, 9458, 18904, 101911, 127749, 20230, 117375, 114475, 105784, 198, 77693, 108422, 33121, 50520, 111, 106624, 50338, 108323, 78434, 9174, 18, 12, 16, 13, 14167, 100, 65854, 29295, 116875, 108324, 99750, 30512, 112391, 30369, 115789, 101182, 198, 110191, 118372, 113245, 30177, 65854, 71289, 33122, 111813, 15682, 5486, 14167, 100, 65854, 110366, 20230, 116875, 108324, 99750, 29295, 21990, 17129, 104028, 125396, 115991, 33541, 9174, 47260, 42634, 96452, 54656, 235, 112212, 91482, 68408, 90962, 109933, 67075, 29295, 27699, 116, 108950, 56051, 107118, 16995, 58942, 5486, 91482, 68408, 90962, 33035, 87177, 20230, 116875, 108324, 30512, 32977, 59739, 24273, 15682, 83747, 103470, 124897, 1811, 101275, 98220, 71289, 14167, 100, 65854, 16144, 8107, 106036, 95, 113468, 101682, 76622, 125639, 126172, 30813, 15682, 108901, 26854, 31431, 33541, 9174, 58426, 106592, 119870, 17129, 107800, 30297, 58942, 16556, 5486, 91482, 68408, 90962, 109933, 67075, 116446, 32977, 14167, 100, 65854, 110366, 15682, 115499, 20834, 30813, 100604, 16556, 117271, 54926, 115789, 88367, 117657, 104309, 126843, 15682, 33655, 114598, 33503, 105262, 127749, 126694, 30369, 105908, 107693, 38641, 9174, 18, 12, 17, 13, 18904, 101911, 127749, 20230, 117375, 114475, 105784, 198, 91482, 68408, 90962, 109933, 67075, 15682, 124773, 123437, 67075, 30512, 107740, 54926, 103846, 5486, 18904, 101911, 29295, 51385, 23187, 109768, 123207, 55723, 105284, 71289, 79785, 71174, 20230, 117375, 114475, 76622, 5486, 22398, 91062, 106240, 20230, 71289, 31431, 108167, 54926, 105908, 103082, 107515, 1811, 102395, 109431, 26854, 124773, 123437, 67075, 18904, 101911, 113053, 29295, 109215, 117282, 106592, 104611, 103892, 109156, 106824, 33334, 50834, 17129, 109954, 9174, 19, 13, 21388, 113529, 21105, 103, 16995, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 102647, 102802, 24273, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 102647, 102802, 24273, 15682, 5486, 104195, 33208, 56051, 16995, 121101, 29295, 31958, 105184, 117083, 107803, 102052, 5486, 114363, 11883, 20230, 122401, 103646, 123141, 30512, 102647, 104369, 105908, 126120, 96455, 33208, 16144, 60358, 45893, 121711, 33541, 9174, 102647, 102802, 24273, 16144, 120098, 15682, 88852, 16144, 18, 59739, 38641, 9174, 9458, 30832, 112535, 40862, 100472, 121432, 16556, 102647, 104369, 63415, 68408, 66953, 112900, 20230, 114146, 38144, 102647, 104369, 198, 19, 12, 16, 13, 108152, 38248, 114, 115247, 32018, 109315, 78683, 106240, 20230, 114146, 38144, 102647, 104369, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 5486, 108152, 38248, 114, 11972, 29295, 67645, 120950, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 32018, 62004, 100934, 104865, 78683, 106240, 20230, 114146, 38144, 102647, 104369, 105908, 107693, 38641, 9174, 10634, 120, 108152, 38248, 114, 118928, 106240, 20230, 114146, 28713, 102647, 102802, 24273, 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 ]
[ 107118, 198, 12, 220, 17, 220, 17, 13, 11144, 14167, 100, 65854, 117271, 11199, 91482, 68408, 90962, 109933, 67075, 16144, 39850, 37823, 67075, 198, 12, 220, 18, 220, 18, 13, 11144, 14167, 100, 65854, 117271, 11199, 91482, 68408, 90962, 109933, 67075, 16144, 68408, 39850, 37823, 67075, 198, 12, 220, 19, 220, 19, 13, 21388, 113529, 21105, 103, 16995, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 102647, 102802, 24273, 198, 12, 220, 20, 220, 20, 13, 33334, 125683, 62004, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 198, 12, 220, 21, 220, 60596, 13, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 56051, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 16556, 33334, 101128, 102, 64121, 120332, 15682, 127637, 48154, 50021, 111813, 72315, 198, 12, 220, 22, 220, 123011, 62004, 198, 16, 13, 91482, 68408, 90962, 109933, 67075, 107118, 198, 112798, 103892, 72661, 50338, 108323, 56051, 19732, 108086, 5486, 91482, 68408, 90962, 109933, 67075, 107118, 111476, 124773, 123437, 67075, 18904, 101911, 30512, 33035, 39926, 106482, 66201, 104088, 106272, 104612, 33710, 107507, 91062, 20230, 38093, 87177, 29295, 108608, 47260, 119263, 78683, 102663, 38248, 115, 78205, 119495, 64178, 38641, 1811, 80805, 102741, 109713, 71289, 47307, 52884, 123167, 5486, 124131, 103927, 124905, 76947, 5486, 16, 103359, 16, 125845, 43240, 17792, 9039, 113245, 91482, 68408, 90962, 33035, 87177, 29295, 88367, 121711, 33541, 9174, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 43240, 104091, 104770, 57903, 33541, 29295, 5486, 19360, 38093, 104760, 5486, 111234, 91482, 118567, 5486, 33122, 111813, 5486, 76537, 40862, 72342, 5486, 14167, 100, 65854, 117271, 9458, 60868, 121057, 220, 104309, 104874, 78183, 30369, 121432, 113468, 127742, 115991, 33541, 9174, 103350, 104983, 20230, 5486, 91482, 68408, 90962, 109933, 67075, 30512, 91482, 76428, 102750, 22398, 20230, 76706, 11883, 54926, 118733, 67645, 103171, 105908, 103350, 102321, 108608, 105879, 109954, 32149, 1811, 33671, 16144, 46028, 16556, 50338, 108323, 109768, 50834, 33541, 9174, 16, 12, 16, 13, 91482, 68408, 90962, 109933, 67075, 16556, 103350, 102321, 108608, 100909, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 30512, 76706, 11883, 54926, 118733, 115847, 103296, 37507, 72516, 5486, 37507, 61337, 5486, 120824, 99397, 113468, 23039, 123671, 101732, 64810, 64178, 22398, 30512, 110191, 118372, 20230, 57207, 112508, 54926, 105908, 88367, 38641, 9174, 118789, 9554, 102052, 5486, 88852, 120950, 105908, 91482, 68408, 90962, 109933, 67075, 16556, 103350, 102321, 125545, 9174, 9458, 107289, 16073, 118372, 16556, 110596, 24273, 16144, 29220, 102803, 39880, 52414, 19732, 33122, 111813, 63415, 107289, 16073, 118372, 16556, 103359, 28190, 72342, 101860, 20230, 30177, 65854, 63415, 107289, 16073, 118372, 111848, 102208, 104091, 47260, 64178, 120690, 117271, 198, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 9174, 16, 12, 16, 12, 16, 13, 38093, 104760, 16144, 126120, 96455, 33208, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 106839, 17701, 112212, 38093, 104760, 16144, 126120, 96455, 33208, 30512, 103350, 102321, 125545, 1811, 37026, 110362, 71289, 48915, 20834, 61826, 5486, 20834, 105714, 61826, 55031, 32977, 38093, 104760, 117158, 105350, 103082, 5486, 9039, 17792, 113245, 101198, 117675, 94550, 55031, 119436, 9039, 113245, 38093, 104760, 103296, 88367, 38641, 1811, 55723, 28190, 55999, 19361, 71289, 104774, 106696, 55999, 19361, 121432, 124905, 116285, 126120, 96455, 112535, 109544, 16144, 55999, 19361, 32977, 23039, 58942, 33541, 9174, 16, 12, 16, 12, 17, 13, 110191, 118372, 33122, 111813, 198, 91482, 68408, 90962, 109933, 67075, 124905, 116285, 5486, 110596, 24273, 20230, 107991, 29220, 102803, 39880, 52414, 19732, 109467, 38093, 30297, 100909, 103470, 124773, 123437, 67075, 30512, 33035, 100204, 38144, 33122, 111813, 54926, 105908, 88367, 38641, 1811, 33122, 111813, 30512, 35757, 113764, 20230, 103130, 109315, 124122, 118969, 75694, 17129, 26854, 60868, 121057, 121432, 107407, 103223, 64178, 32977, 43240, 47884, 5486, 112167, 101275, 112415, 16144, 126120, 96455, 33208, 30512, 103350, 102321, 125545, 9174, 16, 12, 16, 12, 18, 13, 110191, 118372, 30177, 65854, 198, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 56051, 110191, 118372, 17905, 113245, 30177, 65854, 29295, 88367, 38641, 1811, 14167, 100, 65854, 19732, 30177, 109835, 72342, 101860, 20230, 30177, 65854, 29295, 108608, 105879, 99750, 108208, 111571, 103359, 105226, 103306, 19361, 126120, 26854, 30297, 58942, 5486, 110596, 24273, 16144, 14167, 100, 65854, 113115, 39926, 39880, 107420, 113335, 54926, 105908, 125545, 9174, 16, 12, 16, 12, 19, 13, 110191, 118372, 111848, 102208, 104091, 47260, 64178, 120690, 117271, 198, 85701, 103296, 117384, 116771, 16556, 106608, 103359, 107113, 102208, 104091, 117271, 114556, 120837, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 30512, 107740, 56051, 103768, 112167, 112212, 126120, 96455, 109904, 103768, 112167, 29295, 88367, 115717, 33541, 118844, 103296, 16144, 79785, 71174, 116771, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 103378, 77181, 5486, 14167, 100, 65854, 110366, 32977, 102321, 103397, 111681, 104482, 16144, 122984, 20230, 82973, 29295, 32149, 32149, 107462, 79721, 9174, 90962, 99695, 44971, 120770, 19732, 14167, 100, 65854, 29295, 55723, 28190, 16556, 59739, 105722, 30369, 118733, 5486, 14167, 100, 65854, 29295, 22324, 32149, 115032, 127749, 104309, 30512, 46034, 24186, 117083, 47043, 71289, 4977, 9458, 124131, 103927, 16144, 76739, 109554, 55723, 28190, 30512, 55999, 19361, 54926, 100909, 112212, 5486, 90962, 99695, 44971, 120770, 29295, 72238, 103856, 47884, 127749, 30512, 102178, 111665, 15024, 50338, 104662, 121254, 107674, 122521, 123410, 104309, 5486, 79785, 71174, 116771, 16556, 117271, 54926, 126036, 35083, 38574, 20230, 22398, 91062, 106240, 26854, 71289, 31431, 108167, 30512, 103350, 102321, 125545, 9174, 17, 13, 11144, 14167, 100, 65854, 117271, 11199, 91482, 68408, 90962, 109933, 67075, 16144, 39850, 37823, 67075, 198, 14167, 100, 65854, 117271, 20230, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 112990, 88852, 16144, 19, 118821, 39850, 37823, 67075, 115991, 33541, 9174, 9458, 76771, 119, 91875, 82973, 19732, 109060, 106382, 16144, 21403, 232, 114485, 29295, 108608, 63415, 108791, 102741, 61398, 9458, 22398, 62903, 33710, 30512, 19361, 126120, 76706, 11883, 108608, 101200, 108176, 63415, 117737, 78943, 33857, 16144, 127181, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 18655, 104028, 198, 77693, 108422, 33121, 50520, 111, 106624, 91774, 38144, 64121, 17129, 109954, 9174, 17, 12, 16, 13, 116245, 30512, 102647, 81219, 101860, 38093, 104760, 9458, 33122, 111813, 9458, 30177, 65854, 29295, 108608, 198, 91482, 68408, 90962, 109933, 67075, 16144, 112366, 16144, 39850, 37823, 67075, 15682, 111476, 124773, 123437, 67075, 20230, 30177, 106307, 30813, 58942, 103082, 104984, 108064, 72661, 116414, 72661, 33122, 111813, 71289, 30177, 65854, 29295, 88367, 108176, 100909, 38641, 9174, 66776, 30177, 109835, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 103846, 5486, 99750, 108208, 111571, 103359, 105226, 20230, 19361, 126120, 26854, 17905, 5486, 127284, 29295, 113473, 108176, 118733, 13177, 110596, 24273, 16144, 103846, 37507, 72516, 29295, 111108, 102800, 59712, 127032, 29295, 31809, 65316, 105879, 37507, 72516, 15024, 20230, 47884, 16995, 66383, 16995, 100472, 14167, 100, 65854, 111363, 39880, 107420, 113335, 32977, 46034, 117355, 20230, 108608, 101200, 115717, 33541, 9174, 53900, 5486, 91482, 68408, 90962, 109933, 67075, 121432, 30512, 76706, 11883, 39926, 5486, 103350, 53953, 16144, 47043, 30512, 106482, 15024, 118158, 31431, 5486, 55723, 28190, 17905, 16556, 80805, 118804, 123167, 30512, 55999, 19361, 39926, 116718, 20230, 122984, 103082, 115926, 104309, 5486, 103359, 28190, 20230, 73686, 76622, 30512, 18655, 110104, 22398, 91062, 106240, 26854, 33122, 111813, 71289, 30177, 65854, 29295, 88367, 38641, 9174, 17, 12, 17, 13, 127284, 82973, 9458, 109060, 106382, 104309, 47260, 71634, 16144, 21403, 232, 114485, 29295, 108608, 198, 17, 59739, 118322, 39850, 37823, 67075, 15682, 5486, 127284, 82973, 71289, 109060, 106382, 123160, 47260, 71634, 30512, 21403, 232, 114485, 108608, 100909, 38641, 9174, 127284, 82973, 29295, 114485, 30369, 118733, 29172, 81742, 109544, 16144, 19967, 13153, 82973, 20230, 33655, 107800, 31431, 5486, 30177, 65854, 82973, 30512, 115079, 71289, 39926, 16, 17792, 72661, 43240, 119064, 14167, 100, 65854, 113115, 106608, 54926, 105908, 88367, 121711, 5486, 21990, 106518, 34171, 70141, 17905, 107294, 105722, 31431, 33541, 9174, 53900, 5486, 127284, 16144, 124122, 109060, 106382, 5486, 109249, 117856, 106382, 5486, 38093, 104760, 102452, 107740, 42506, 104309, 30512, 21403, 232, 114485, 103082, 110745, 111044, 26854, 47260, 71634, 107792, 103664, 105352, 59739, 105722, 31431, 33541, 9174, 17, 12, 18, 13, 37823, 102741, 61398, 9458, 22398, 62903, 33710, 30512, 19361, 126120, 76706, 11883, 108608, 101200, 108176, 198, 18, 59739, 118322, 39850, 37823, 67075, 15682, 5486, 37823, 102741, 61398, 9458, 22398, 62903, 33710, 30512, 19361, 126120, 76706, 11883, 108608, 100909, 38641, 9174, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 54926, 118733, 30177, 65854, 71289, 33122, 111813, 54926, 110366, 16144, 105335, 26269, 52591, 15682, 5486, 116414, 55031, 72661, 30177, 65854, 29295, 88367, 121711, 33541, 1811, 45829, 101662, 38144, 16325, 16144, 111482, 72661, 37026, 110362, 55031, 22398, 62903, 33710, 30512, 102404, 127327, 56051, 31431, 5486, 106848, 104309, 111717, 116414, 55031, 72661, 106613, 111186, 71289, 53283, 109375, 30512, 102404, 127327, 108608, 101200, 115717, 33541, 9174, 105335, 26269, 52591, 29295, 116414, 20230, 102532, 32977, 59739, 105722, 104028, 101200, 108176, 118733, 37271, 103296, 21990, 32149, 21105, 235, 33121, 101860, 20230, 102334, 37823, 102741, 61398, 71289, 22398, 62903, 33710, 30512, 19361, 126120, 76706, 11883, 125545, 9174, 17, 12, 19, 13, 108134, 33857, 16144, 127181, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 29295, 18655, 104028, 198, 19, 59739, 118322, 39850, 37823, 67075, 15682, 5486, 108134, 33857, 16144, 127181, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 104028, 100909, 38641, 9174, 91482, 68408, 90962, 109933, 67075, 15682, 5486, 57933, 62903, 71634, 9458, 79785, 71174, 9458, 106482, 66201, 9458, 55723, 28190, 55999, 19361, 104309, 16556, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 108608, 103846, 112160, 27479, 20230, 108044, 58942, 110071, 108134, 33857, 29295, 127181, 112973, 66378, 17599, 112, 38641, 1811, 79785, 71174, 103378, 77181, 108044, 78183, 110104, 125641, 71289, 127749, 104309, 32977, 108044, 58942, 126172, 16995, 38641, 9174, 126238, 105047, 30512, 31634, 54926, 107803, 16144, 117271, 72661, 5486, 91482, 68408, 90962, 33035, 87177, 116825, 100604, 72661, 33503, 30297, 100909, 38641, 104699, 20230, 120007, 16144, 127749, 30512, 113954, 56051, 17905, 113245, 117271, 117824, 30297, 105908, 88367, 38641, 1811, 19360, 38093, 104760, 71289, 33122, 111813, 5486, 112167, 101275, 72661, 22398, 91062, 106240, 20230, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 111629, 30369, 105908, 125545, 9174, 18, 13, 11144, 14167, 100, 65854, 117271, 11199, 91482, 68408, 90962, 109933, 67075, 16144, 68408, 39850, 37823, 67075, 198, 91482, 68408, 90962, 109933, 67075, 102052, 88852, 120950, 68408, 39850, 37823, 67075, 32977, 48706, 78434, 9174, 9458, 18904, 101911, 127749, 20230, 117375, 114475, 105784, 198, 77693, 108422, 33121, 50520, 111, 106624, 50338, 108323, 78434, 9174, 18, 12, 16, 13, 14167, 100, 65854, 29295, 116875, 108324, 99750, 30512, 112391, 30369, 115789, 101182, 198, 110191, 118372, 113245, 30177, 65854, 71289, 33122, 111813, 15682, 5486, 14167, 100, 65854, 110366, 20230, 116875, 108324, 99750, 29295, 21990, 17129, 104028, 125396, 115991, 33541, 9174, 47260, 42634, 96452, 54656, 235, 112212, 91482, 68408, 90962, 109933, 67075, 29295, 27699, 116, 108950, 56051, 107118, 16995, 58942, 5486, 91482, 68408, 90962, 33035, 87177, 20230, 116875, 108324, 30512, 32977, 59739, 24273, 15682, 83747, 103470, 124897, 1811, 101275, 98220, 71289, 14167, 100, 65854, 16144, 8107, 106036, 95, 113468, 101682, 76622, 125639, 126172, 30813, 15682, 108901, 26854, 31431, 33541, 9174, 58426, 106592, 119870, 17129, 107800, 30297, 58942, 16556, 5486, 91482, 68408, 90962, 109933, 67075, 116446, 32977, 14167, 100, 65854, 110366, 15682, 115499, 20834, 30813, 100604, 16556, 117271, 54926, 115789, 88367, 117657, 104309, 126843, 15682, 33655, 114598, 33503, 105262, 127749, 126694, 30369, 105908, 107693, 38641, 9174, 18, 12, 17, 13, 18904, 101911, 127749, 20230, 117375, 114475, 105784, 198, 91482, 68408, 90962, 109933, 67075, 15682, 124773, 123437, 67075, 30512, 107740, 54926, 103846, 5486, 18904, 101911, 29295, 51385, 23187, 109768, 123207, 55723, 105284, 71289, 79785, 71174, 20230, 117375, 114475, 76622, 5486, 22398, 91062, 106240, 20230, 71289, 31431, 108167, 54926, 105908, 103082, 107515, 1811, 102395, 109431, 26854, 124773, 123437, 67075, 18904, 101911, 113053, 29295, 109215, 117282, 106592, 104611, 103892, 109156, 106824, 33334, 50834, 17129, 109954, 9174, 19, 13, 21388, 113529, 21105, 103, 16995, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 102647, 102802, 24273, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 102647, 102802, 24273, 15682, 5486, 104195, 33208, 56051, 16995, 121101, 29295, 31958, 105184, 117083, 107803, 102052, 5486, 114363, 11883, 20230, 122401, 103646, 123141, 30512, 102647, 104369, 105908, 126120, 96455, 33208, 16144, 60358, 45893, 121711, 33541, 9174, 102647, 102802, 24273, 16144, 120098, 15682, 88852, 16144, 18, 59739, 38641, 9174, 9458, 30832, 112535, 40862, 100472, 121432, 16556, 102647, 104369, 63415, 68408, 66953, 112900, 20230, 114146, 38144, 102647, 104369, 198, 19, 12, 16, 13, 108152, 38248, 114, 115247, 32018, 109315, 78683, 106240, 20230, 114146, 38144, 102647, 104369, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 5486, 108152, 38248, 114, 11972, 29295, 67645, 120950, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 32018, 62004, 100934, 104865, 78683, 106240, 20230, 114146, 38144, 102647, 104369, 105908, 107693, 38641, 9174, 10634, 120, 108152, 38248, 114, 118928, 106240, 20230, 114146, 28713, 102647, 102802, 24273, 16144 ]
[ 27452, 198, 108152, 38248, 114, 115247, 32018, 109315, 78683, 106240, 20230, 114146, 38144, 5486, 43240, 104091, 104770, 101182, 103223, 64178, 16144, 26854, 32149, 55031, 111654, 102800, 121432, 71289, 66378, 17599, 112, 30512, 102647, 104369, 106592, 33334, 125683, 62004, 78434, 9174, 19, 12, 17, 13, 30832, 112535, 40862, 100472, 121432, 16556, 102647, 104369, 198, 33671, 20230, 5486, 30832, 112535, 114146, 38144, 103223, 64178, 30512, 102647, 104369, 105908, 107693, 38641, 9174, 91482, 68408, 90962, 109933, 67075, 30512, 107740, 39926, 14167, 100, 65854, 20230, 13177, 30177, 65854, 118587, 54926, 104865, 5486, 29220, 102803, 39880, 52414, 102416, 13177, 33122, 111813, 118587, 54926, 104865, 58426, 113173, 30512, 15682, 121381, 111842, 107726, 17129, 109954, 109900, 108422, 33121, 16144, 103223, 64178, 16556, 104874, 78183, 30369, 121432, 29295, 108901, 26854, 31431, 33541, 9174, 110191, 118372, 33122, 111813, 117083, 19732, 102924, 60632, 26854, 121432, 107289, 16073, 118372, 30177, 65854, 117083, 19732, 102924, 60632, 26854, 121432, 198, 9458, 104774, 106696, 37705, 22023, 121432, 198, 9458, 102756, 16073, 107167, 48552, 92776, 39177, 33035, 87177, 121432, 198, 19, 12, 18, 13, 120174, 22023, 30046, 117501, 16144, 4977, 71289, 124131, 103927, 20230, 114146, 38144, 102647, 104369, 198, 18, 59739, 118322, 120098, 15682, 5486, 101682, 22023, 30046, 117501, 16144, 80805, 102741, 109713, 71289, 124131, 84477, 108526, 16073, 20230, 114146, 38144, 102647, 104369, 100909, 38641, 9174, 30926, 112772, 13177, 67645, 16144, 3204, 9458, 110101, 65299, 103988, 113115, 106608, 103792, 32149, 59712, 67645, 16144, 68408, 66953, 112900, 117501, 20230, 104195, 118544, 10646, 20230, 114146, 38144, 103223, 64178, 30512, 102647, 104369, 105908, 107693, 121711, 33541, 9174, 53900, 5486, 115963, 20230, 107740, 54926, 17792, 9039, 29295, 43240, 102518, 31431, 5486, 33122, 111813, 71289, 110191, 118372, 30177, 65854, 16556, 107740, 54926, 126513, 118597, 29295, 51385, 23187, 103792, 32149, 29295, 107693, 26854, 102647, 23187, 120098, 38641, 1811, 43240, 26955, 254, 28542, 118597, 16556, 605, 17792, 71689, 101983, 104533, 118597, 29295, 51385, 23187, 21105, 103, 16995, 102677, 115789, 125119, 31431, 50928, 33541, 109807, 105933, 107740, 29295, 101067, 23187, 107001, 107803, 102052, 110745, 106045, 54872, 107740, 105352, 104195, 16995, 103223, 64178, 30512, 102647, 104369, 105908, 109215, 38641, 9174, 22656, 35083, 112535, 107740, 54926, 112772, 92693, 57326, 93488, 71289, 20251, 102803, 107908, 117232, 30512, 107740, 39926, 79785, 71174, 19732, 91875, 55723, 16144, 25446, 105284, 29295, 51385, 23187, 39926, 33563, 28713, 115032, 32149, 30926, 112772, 114140, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 20, 13, 33334, 125683, 62004, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 198, 14167, 100, 65854, 117271, 107898, 125683, 62004, 16144, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 88852, 16144, 17, 59739, 38641, 9174, 17, 13, 59048, 50, 198, 108729, 121432, 30512, 125261, 39926, 64121, 17129, 109954, 9174, 36668, 26854, 103223, 64178, 121238, 68408, 90962, 20251, 105048, 59048, 50, 198, 79785, 71174, 16144, 51385, 23187, 34171, 198, 41832, 107, 198, 55723, 28190, 55999, 19361, 5486, 109933, 67075, 5486, 108565, 55723, 198, 13372, 110456, 39209, 109033, 5486, 20251, 105048, 22398, 107167, 57326, 20251, 5486, 55723, 28190, 55999, 19361, 5486, 109544, 101682, 76622, 110968, 15024, 5486, 39850, 102494, 5486, 79785, 71174, 115681, 104760, 30926, 108565, 111476, 17, 118821, 103223, 64178, 16144, 66378, 17599, 112, 30512, 50520, 111, 106624, 50338, 108323, 78434, 9174, 20, 12, 16, 13, 91482, 68408, 90962, 20251, 105048, 198, 13177, 91482, 68408, 90962, 20251, 105048, 10646, 15682, 5486, 6542, 51, 110191, 118372, 120456, 38248, 109, 103906, 94550, 9458, 102741, 37823, 72369, 38248, 115, 78205, 16073, 121450, 29295, 104908, 54926, 125175, 38641, 1811, 39880, 115507, 16144, 76171, 71634, 64178, 71289, 39880, 71493, 65299, 52414, 125104, 29295, 113473, 16556, 5486, 66665, 20230, 37705, 22023, 103646, 3222, 55031, 112825, 110904, 20230, 91482, 68408, 90962, 33035, 87177, 29295, 125545, 9174, 20, 12, 16, 12, 16, 13, 66378, 17599, 112, 198, 91482, 68408, 90962, 20251, 105048, 15682, 115132, 115507, 113473, 16144, 124131, 103927, 91482, 68408, 90962, 33035, 87177, 125175, 1811, 30177, 106307, 46034, 110480, 15682, 5486, 117384, 122532, 30512, 17701, 48634, 39926, 37705, 22023, 103672, 127065, 30512, 110408, 17663, 103378, 19732, 112825, 110904, 38641, 1811, 66665, 20230, 37705, 30369, 30926, 29295, 108608, 105879, 5486, 14167, 100, 65854, 110366, 107294, 105722, 30369, 125396, 29295, 126574, 125175, 26854, 112973, 66378, 17599, 112, 38641, 9174, 53900, 5486, 33035, 87177, 126867, 125152, 58322, 56051, 117039, 5486, 108565, 55723, 56051, 91875, 55723, 15682, 109215, 20230, 106608, 100204, 38144, 80805, 102741, 109713, 20230, 47585, 54926, 105908, 125545, 9174, 30177, 106307, 123470, 39880, 52591, 47307, 112694, 104163, 117243, 103306, 66665, 37705, 22023, 54926, 115789, 88367, 122262, 65854, 103826, 16144, 39880, 52591, 47307, 112694, 104163, 42634, 38248, 226, 113164, 102663, 84477, 104309, 5486, 50834, 62004, 104398, 71289, 107188, 14167, 100, 65854, 117271, 29295, 88367, 121711, 33541, 9174, 20, 12, 16, 12, 17, 13, 121432, 198, 91482, 68408, 90962, 20251, 105048, 16144, 36668, 26854, 121432, 19732, 121432, 44915, 15682, 88852, 16144, 19732, 108086, 38641, 9174, 121432, 116131, 97908, 44915, 198, 91482, 68408, 90962, 33035, 87177, 127749, 30512, 108565, 55723, 15024, 5486, 119526, 16556, 108618, 17663, 105908, 108608, 198, 33035, 87177, 126867, 108152, 38248, 114, 11972, 29295, 124131, 103927, 16556, 125152, 58322, 56051, 117039, 30512, 5486, 90962, 99695, 44971, 120770, 110366, 20230, 37705, 30369, 105908, 108608, 198, 90962, 99695, 44971, 120770, 29295, 108152, 38248, 114, 11972, 20230, 31640, 78183, 76947, 37823, 102494, 84477, 16556, 124131, 103927, 16144, 106482, 66201, 30512, 106353, 82533, 55723, 103306, 125152, 58322, 108608, 198, 104836, 24273, 16556, 57933, 62903, 71634, 109933, 67075, 54926, 118733, 108044, 58942, 109669, 110706, 3222, 71289, 25287, 87217, 104309, 5486, 37656, 105184, 20230, 108044, 105262, 105908, 108608, 198, 90962, 99695, 44971, 120770, 29295, 110366, 16144, 55723, 28190, 30512, 55999, 19361, 54926, 30926, 29295, 108608, 198, 108152, 38248, 114, 115247, 82912, 108134, 30512, 90962, 99695, 44971, 120770, 20230, 37705, 22023, 15024, 5486, 14783, 5135, 16556, 52563, 198, 90962, 99695, 44971, 120770, 15682, 116907, 16144, 115499, 52563, 72342, 101860, 91482, 68408, 90962, 33035, 87177, 29295, 88367, 198, 20, 12, 16, 12, 18, 13, 114387, 17792, 107898, 125683, 62004, 198, 91482, 68408, 90962, 20251, 105048, 15682, 124131, 103927, 71493, 127194, 16556, 127749, 30512, 114140, 103082, 115926, 5486, 117384, 122532, 121142, 95221, 117355, 107294, 105722, 104028, 121432, 107407, 103846, 5486, 123429, 127749, 16144, 110191, 118372, 124140, 23187, 71289, 73686, 104087, 21105, 103, 67645, 16144, 110191, 118372, 91774, 108882, 32977, 112586, 109431, 127145, 9174, 118789, 9554, 102052, 88852, 120950, 101275, 104091, 16556, 107740, 56051, 16995, 102677, 24273, 107898, 125683, 62004, 38641, 9174, 101275, 104091, 9458, 101275, 107328, 35469, 115, 33014, 109904, 11883, 108968, 198, 102159, 107707, 33334, 65854, 103826, 30512, 103359, 47523, 114267, 47043, 71289, 60868, 113649, 117718, 33122, 111813, 71289, 30177, 65854, 198, 110191, 118372, 32943, 111182, 71289, 83812, 225, 110726, 53953, 14558, 56906, 86436, 125344, 127749, 114140, 198, 120824, 99397, 113473, 16556, 110191, 118372, 91774, 108882, 123731, 198, 46729, 102571, 16144, 101307, 104698, 127749, 71289, 123429, 127749, 30512, 110191, 118372, 124140, 23187, 198, 91482, 68408, 90962, 33035, 87177, 16556, 37656, 105184, 26854, 112984, 23187, 198, 91482, 68408, 90962, 33035, 87177, 16556, 33334, 65854, 103826, 127749, 30512, 72238, 103856, 47884, 102178, 111665, 54926, 118733, 5486, 126120, 96455, 109904, 33334, 99397, 16995, 114146, 117271, 30512, 103350, 102321, 198, 20, 12, 17, 13, 51770, 50, 198, 121450, 33, 18981, 2471, 29295, 104908, 54926, 13177, 51770, 50, 10646, 15682, 5486, 33, 998, 34, 114363, 11883, 16144, 110191, 118372, 33122, 111813, 103223, 64178, 38641, 118844, 103296, 102040, 65575, 33710, 104856, 106358, 39880, 115507, 16144, 30926, 25580, 76171, 71634, 64178, 29295, 103470, 5486, 102756, 16073, 107167, 48552, 16556, 102433, 111717, 16144, 14167, 100, 65854, 19732, 59739, 105722, 30369, 105908, 125545, 9174, 115681, 112535, 120999, 29295, 17701, 30369, 71493, 44971, 108506, 11972, 121432, 16556, 22398, 102663, 115478, 64178, 104873, 64531, 32977, 112825, 110904, 106609, 112741, 71289, 79785, 126390, 50338, 98871, 39926, 125641, 30512, 106596, 9458, 9039, 112603, 33208, 39926, 33122, 111813, 16144, 123927, 104196, 112586, 76706, 11883, 108608, 104309, 5486, 110191, 118372, 109860, 22957, 58426, 121432, 29295, 105843, 103350, 127145, 9174, 20, 12, 17, 12, 16, 13, 66378, 17599, 112, 198, 51770, 50, 16144, 66378, 17599, 112, 15682, 20, 59739, 57903, 33541, 9174, 16, 13, 105729, 16073, 71634, 64178, 113473, 16556, 112832, 19732, 72661, 112825, 110904, 107294, 105722, 104028, 30177, 106307, 34171, 198, 17, 13, 116808, 232, 105469, 26854, 118192, 108270, 16073, 121432, 16556, 13153, 28873, 29295, 115442, 31431, 126172, 16995, 198, 18, 13, 84410, 111813, 30512, 61304, 108565, 9458, 106596, 39926, 19653, 31634, 63212, 104088, 59739, 105784, 198, 19, 13, 108791, 107908, 107507, 91062, 20230, 120273, 103664, 102181, 103296, 126233, 102971, 108608, 198, 20, 13, 63091, 61337, 122401, 120950, 71493, 105335, 68759, 122624, 29295, 108608, 198, 114435, 29295, 32018, 109315, 17905, 25129, 20, 118821, 31634, 72238, 30512, 122617, 114196, 101832, 104874, 107800, 110191, 118372, 33122, 111813, 123141, 38641, 9174, 20, 12, 17, 12, 17, 13, 121432, 198, 51770, 50, 16144, 36668, 26854, 121432, 19732, 121432, 44915, 104088, 38144, 64121, 17129, 109954, 9174, 112366, 46702, 26955, 254, 28542, 55031, 110284, 29295, 88367, 198, 19360, 17905, 113245, 13372, 110456, 39209, 109033, 29295, 88367, 198, 80805, 102741, 109713, 20230, 52563, 110731, 55723, 28190, 30512, 112661, 126101, 55999, 19361, 88367, 198, 91774, 72342, 106956, 109544, 30512, 107059, 65299, 45923, 55031, 105324, 102802, 20834, 39926, 55723, 28190, 17905, 20230, 77413, 87447, 108608, 198, 79785, 126390, 115681, 16556, 57933, 62903, 71634, 33208, 198, 51770, 50, 16556, 120999, 56051, 108134, 30512, 22398, 102663, 115478, 64178, 39880, 115507, 20230, 89046, 120988, 198, 14783, 39880, 96452, 37823, 103906, 29220, 105335, 41758, 71289, 47307, 41758, 68759, 102750, 78767, 68581, 115247, 102332, 22324, 29295, 88367, 198, 20, 12, 17, 12, 18, 13, 114387, 17792, 107898, 125683, 62004, 198, 51770, 50, 15682, 118192, 108270, 100560, 95, 65575, 16556, 109544, 16144, 55999, 19361, 29295, 112825, 110904, 20230, 103082, 115926, 5486, 14167, 100, 65854, 110792, 22398, 102663, 115478, 64178, 16144, 89046, 120988, 5486, 115143, 102052, 106596, 121432, 29295, 47000, 16995, 100481, 125655, 103846, 5486, 101918, 16144, 122626, 71289, 16937, 91875, 106518, 105525, 107691, 123160, 33122, 111813, 20230, 76706, 11883, 16995, 90620, 76622, 33541, 9174, 102159, 107707, 33334, 65854, 103826, 30512, 103359, 47523, 114267, 47043, 9458, 125175, 104908, 114435, 198, 110191, 118372, 16556, 17620, 92148, 110, 111817, 104272, 71289, 117018, 16144, 122626, 198, 110191, 118372, 16556, 101918, 109198, 17701, 16144, 33122, 111813, 71289, 101918, 111800, 71289, 23951, 22649, 16144, 50021, 111813, 198, 17039, 104703, 17039, 122924, 110792, 110191, 118372, 30177, 65854, 71289, 76537, 43514, 114146, 198, 60596, 13, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 56051, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 16556, 33334, 101128, 102, 64121, 120332, 15682, 127637, 48154, 50021, 111813, 72315, 198, 20251, 93488, 118283, 22398, 102494, 22398, 77181, 108948, 65854, 103826, 114435, 16144, 111681, 104482, 30512, 107461, 39880, 122835, 56051, 17905, 16556, 5486, 91482, 68408, 90962, 109933, 67075, 90962, 99695, 44971, 38248, 115, 78205, 113883, 48154, 29172, 81742, 30512, 103350, 102923, 127145, 9174, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 106839, 17701, 121142, 103470, 5486, 91482, 68408, 90962, 109933, 67075, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 106839, 101911, 113404, 5486, 109713, 47307, 110548, 120690, 113245, 110191, 118372, 30177, 65854, 103296, 90962, 99695, 44971, 38248, 115, 78205, 118804, 117243, 30512, 111800, 118219, 56051, 17905, 16556, 108948, 65854, 103826, 114435, 20230, 114146, 28713, 102741, 37823, 72369, 38248, 115, 78205, 16073, 30512, 104908, 127145, 9174, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 30512, 76706, 11883, 56051, 110191, 118372, 30177, 65854, 30512, 103350, 102923, 56051, 16995, 24273, 15682, 21043, 66776, 48154, 50021, 111813, 72315, 9174, 74245, 60358, 72661, 9080, 106518, 115681, 101918, 103826, 122692, 5486, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 122521, 30512, 107726, 100481, 90620, 102532, 108086, 33541, 9174, 30926, 27452, 109853, 15682, 117896, 30512, 126229, 72315, 9174, 123011, 62004, 198, 91482, 68408, 90962, 109933, 67075, 15682, 107740, 54926, 118733, 5486, 37823, 102494, 84477, 102756, 105048, 16325, 16144, 61337, 32943, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 64121, 105110, 101860, 5486, 116245, 71289, 127284, 82973, 30512, 95221, 117657, 100909, 103470, 14167, 100, 65854, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 30369, 105908, 125545, 9174, 110191, 118372, 30177, 65854, 71289, 110191, 118372, 33122, 111813, 29295, 88367, 121711, 5486, 91482, 76428, 102750, 117718, 111044, 29295, 108285, 29295, 31431, 33541, 9174, 118789, 9554, 102052, 5486, 88852, 16144, 105908, 103350, 102321, 108608, 101200, 115717, 33541, 9174, 9458, 110191, 118372, 33122, 111813, 63415, 110191, 118372, 30177, 65854, 63415, 110191, 118372, 111848, 102208, 104091, 47260, 64178, 120690, 117271, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 43240, 104091, 104770, 20834, 127280, 29295, 5486, 33671, 16144, 18, 118821, 120098, 30512, 110408, 30813, 107290, 37026, 61337, 125030, 76947, 32335, 109431, 26854, 103223, 64178, 30512, 102647, 104369, 106592, 33334, 125683, 62004, 78434, 9174, 9458, 108152, 38248, 114, 115247, 32018, 109315, 78683, 106240, 20230, 114146, 38144, 102647, 104369, 220, 63415 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27452, 198, 108152, 38248, 114, 115247, 32018, 109315, 78683, 106240, 20230, 114146, 38144, 5486, 43240, 104091, 104770, 101182, 103223, 64178, 16144, 26854, 32149, 55031, 111654, 102800, 121432, 71289, 66378, 17599, 112, 30512, 102647, 104369, 106592, 33334, 125683, 62004, 78434, 9174, 19, 12, 17, 13, 30832, 112535, 40862, 100472, 121432, 16556, 102647, 104369, 198, 33671, 20230, 5486, 30832, 112535, 114146, 38144, 103223, 64178, 30512, 102647, 104369, 105908, 107693, 38641, 9174, 91482, 68408, 90962, 109933, 67075, 30512, 107740, 39926, 14167, 100, 65854, 20230, 13177, 30177, 65854, 118587, 54926, 104865, 5486, 29220, 102803, 39880, 52414, 102416, 13177, 33122, 111813, 118587, 54926, 104865, 58426, 113173, 30512, 15682, 121381, 111842, 107726, 17129, 109954, 109900, 108422, 33121, 16144, 103223, 64178, 16556, 104874, 78183, 30369, 121432, 29295, 108901, 26854, 31431, 33541, 9174, 110191, 118372, 33122, 111813, 117083, 19732, 102924, 60632, 26854, 121432, 107289, 16073, 118372, 30177, 65854, 117083, 19732, 102924, 60632, 26854, 121432, 198, 9458, 104774, 106696, 37705, 22023, 121432, 198, 9458, 102756, 16073, 107167, 48552, 92776, 39177, 33035, 87177, 121432, 198, 19, 12, 18, 13, 120174, 22023, 30046, 117501, 16144, 4977, 71289, 124131, 103927, 20230, 114146, 38144, 102647, 104369, 198, 18, 59739, 118322, 120098, 15682, 5486, 101682, 22023, 30046, 117501, 16144, 80805, 102741, 109713, 71289, 124131, 84477, 108526, 16073, 20230, 114146, 38144, 102647, 104369, 100909, 38641, 9174, 30926, 112772, 13177, 67645, 16144, 3204, 9458, 110101, 65299, 103988, 113115, 106608, 103792, 32149, 59712, 67645, 16144, 68408, 66953, 112900, 117501, 20230, 104195, 118544, 10646, 20230, 114146, 38144, 103223, 64178, 30512, 102647, 104369, 105908, 107693, 121711, 33541, 9174, 53900, 5486, 115963, 20230, 107740, 54926, 17792, 9039, 29295, 43240, 102518, 31431, 5486, 33122, 111813, 71289, 110191, 118372, 30177, 65854, 16556, 107740, 54926, 126513, 118597, 29295, 51385, 23187, 103792, 32149, 29295, 107693, 26854, 102647, 23187, 120098, 38641, 1811, 43240, 26955, 254, 28542, 118597, 16556, 605, 17792, 71689, 101983, 104533, 118597, 29295, 51385, 23187, 21105, 103, 16995, 102677, 115789, 125119, 31431, 50928, 33541, 109807, 105933, 107740, 29295, 101067, 23187, 107001, 107803, 102052, 110745, 106045, 54872, 107740, 105352, 104195, 16995, 103223, 64178, 30512, 102647, 104369, 105908, 109215, 38641, 9174, 22656, 35083, 112535, 107740, 54926, 112772, 92693, 57326, 93488, 71289, 20251, 102803, 107908, 117232, 30512, 107740, 39926, 79785, 71174, 19732, 91875, 55723, 16144, 25446, 105284, 29295, 51385, 23187, 39926, 33563, 28713, 115032, 32149, 30926, 112772, 114140, 54926, 106592, 33334, 125683, 62004, 78434, 9174, 20, 13, 33334, 125683, 62004, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 198, 14167, 100, 65854, 117271, 107898, 125683, 62004, 16144, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 88852, 16144, 17, 59739, 38641, 9174, 17, 13, 59048, 50, 198, 108729, 121432, 30512, 125261, 39926, 64121, 17129, 109954, 9174, 36668, 26854, 103223, 64178, 121238, 68408, 90962, 20251, 105048, 59048, 50, 198, 79785, 71174, 16144, 51385, 23187, 34171, 198, 41832, 107, 198, 55723, 28190, 55999, 19361, 5486, 109933, 67075, 5486, 108565, 55723, 198, 13372, 110456, 39209, 109033, 5486, 20251, 105048, 22398, 107167, 57326, 20251, 5486, 55723, 28190, 55999, 19361, 5486, 109544, 101682, 76622, 110968, 15024, 5486, 39850, 102494, 5486, 79785, 71174, 115681, 104760, 30926, 108565, 111476, 17, 118821, 103223, 64178, 16144, 66378, 17599, 112, 30512, 50520, 111, 106624, 50338, 108323, 78434, 9174, 20, 12, 16, 13, 91482, 68408, 90962, 20251, 105048, 198, 13177, 91482, 68408, 90962, 20251, 105048, 10646, 15682, 5486, 6542, 51, 110191, 118372, 120456, 38248, 109, 103906, 94550, 9458, 102741, 37823, 72369, 38248, 115, 78205, 16073, 121450, 29295, 104908, 54926, 125175, 38641, 1811, 39880, 115507, 16144, 76171, 71634, 64178, 71289, 39880, 71493, 65299, 52414, 125104, 29295, 113473, 16556, 5486, 66665, 20230, 37705, 22023, 103646, 3222, 55031, 112825, 110904, 20230, 91482, 68408, 90962, 33035, 87177, 29295, 125545, 9174, 20, 12, 16, 12, 16, 13, 66378, 17599, 112, 198, 91482, 68408, 90962, 20251, 105048, 15682, 115132, 115507, 113473, 16144, 124131, 103927, 91482, 68408, 90962, 33035, 87177, 125175, 1811, 30177, 106307, 46034, 110480, 15682, 5486, 117384, 122532, 30512, 17701, 48634, 39926, 37705, 22023, 103672, 127065, 30512, 110408, 17663, 103378, 19732, 112825, 110904, 38641, 1811, 66665, 20230, 37705, 30369, 30926, 29295, 108608, 105879, 5486, 14167, 100, 65854, 110366, 107294, 105722, 30369, 125396, 29295, 126574, 125175, 26854, 112973, 66378, 17599, 112, 38641, 9174, 53900, 5486, 33035, 87177, 126867, 125152, 58322, 56051, 117039, 5486, 108565, 55723, 56051, 91875, 55723, 15682, 109215, 20230, 106608, 100204, 38144, 80805, 102741, 109713, 20230, 47585, 54926, 105908, 125545, 9174, 30177, 106307, 123470, 39880, 52591, 47307, 112694, 104163, 117243, 103306, 66665, 37705, 22023, 54926, 115789, 88367, 122262, 65854, 103826, 16144, 39880, 52591, 47307, 112694, 104163, 42634, 38248, 226, 113164, 102663, 84477, 104309, 5486, 50834, 62004, 104398, 71289, 107188, 14167, 100, 65854, 117271, 29295, 88367, 121711, 33541, 9174, 20, 12, 16, 12, 17, 13, 121432, 198, 91482, 68408, 90962, 20251, 105048, 16144, 36668, 26854, 121432, 19732, 121432, 44915, 15682, 88852, 16144, 19732, 108086, 38641, 9174, 121432, 116131, 97908, 44915, 198, 91482, 68408, 90962, 33035, 87177, 127749, 30512, 108565, 55723, 15024, 5486, 119526, 16556, 108618, 17663, 105908, 108608, 198, 33035, 87177, 126867, 108152, 38248, 114, 11972, 29295, 124131, 103927, 16556, 125152, 58322, 56051, 117039, 30512, 5486, 90962, 99695, 44971, 120770, 110366, 20230, 37705, 30369, 105908, 108608, 198, 90962, 99695, 44971, 120770, 29295, 108152, 38248, 114, 11972, 20230, 31640, 78183, 76947, 37823, 102494, 84477, 16556, 124131, 103927, 16144, 106482, 66201, 30512, 106353, 82533, 55723, 103306, 125152, 58322, 108608, 198, 104836, 24273, 16556, 57933, 62903, 71634, 109933, 67075, 54926, 118733, 108044, 58942, 109669, 110706, 3222, 71289, 25287, 87217, 104309, 5486, 37656, 105184, 20230, 108044, 105262, 105908, 108608, 198, 90962, 99695, 44971, 120770, 29295, 110366, 16144, 55723, 28190, 30512, 55999, 19361, 54926, 30926, 29295, 108608, 198, 108152, 38248, 114, 115247, 82912, 108134, 30512, 90962, 99695, 44971, 120770, 20230, 37705, 22023, 15024, 5486, 14783, 5135, 16556, 52563, 198, 90962, 99695, 44971, 120770, 15682, 116907, 16144, 115499, 52563, 72342, 101860, 91482, 68408, 90962, 33035, 87177, 29295, 88367, 198, 20, 12, 16, 12, 18, 13, 114387, 17792, 107898, 125683, 62004, 198, 91482, 68408, 90962, 20251, 105048, 15682, 124131, 103927, 71493, 127194, 16556, 127749, 30512, 114140, 103082, 115926, 5486, 117384, 122532, 121142, 95221, 117355, 107294, 105722, 104028, 121432, 107407, 103846, 5486, 123429, 127749, 16144, 110191, 118372, 124140, 23187, 71289, 73686, 104087, 21105, 103, 67645, 16144, 110191, 118372, 91774, 108882, 32977, 112586, 109431, 127145, 9174, 118789, 9554, 102052, 88852, 120950, 101275, 104091, 16556, 107740, 56051, 16995, 102677, 24273, 107898, 125683, 62004, 38641, 9174, 101275, 104091, 9458, 101275, 107328, 35469, 115, 33014, 109904, 11883, 108968, 198, 102159, 107707, 33334, 65854, 103826, 30512, 103359, 47523, 114267, 47043, 71289, 60868, 113649, 117718, 33122, 111813, 71289, 30177, 65854, 198, 110191, 118372, 32943, 111182, 71289, 83812, 225, 110726, 53953, 14558, 56906, 86436, 125344, 127749, 114140, 198, 120824, 99397, 113473, 16556, 110191, 118372, 91774, 108882, 123731, 198, 46729, 102571, 16144, 101307, 104698, 127749, 71289, 123429, 127749, 30512, 110191, 118372, 124140, 23187, 198, 91482, 68408, 90962, 33035, 87177, 16556, 37656, 105184, 26854, 112984, 23187, 198, 91482, 68408, 90962, 33035, 87177, 16556, 33334, 65854, 103826, 127749, 30512, 72238, 103856, 47884, 102178, 111665, 54926, 118733, 5486, 126120, 96455, 109904, 33334, 99397, 16995, 114146, 117271, 30512, 103350, 102321, 198, 20, 12, 17, 13, 51770, 50, 198, 121450, 33, 18981, 2471, 29295, 104908, 54926, 13177, 51770, 50, 10646, 15682, 5486, 33, 998, 34, 114363, 11883, 16144, 110191, 118372, 33122, 111813, 103223, 64178, 38641, 118844, 103296, 102040, 65575, 33710, 104856, 106358, 39880, 115507, 16144, 30926, 25580, 76171, 71634, 64178, 29295, 103470, 5486, 102756, 16073, 107167, 48552, 16556, 102433, 111717, 16144, 14167, 100, 65854, 19732, 59739, 105722, 30369, 105908, 125545, 9174, 115681, 112535, 120999, 29295, 17701, 30369, 71493, 44971, 108506, 11972, 121432, 16556, 22398, 102663, 115478, 64178, 104873, 64531, 32977, 112825, 110904, 106609, 112741, 71289, 79785, 126390, 50338, 98871, 39926, 125641, 30512, 106596, 9458, 9039, 112603, 33208, 39926, 33122, 111813, 16144, 123927, 104196, 112586, 76706, 11883, 108608, 104309, 5486, 110191, 118372, 109860, 22957, 58426, 121432, 29295, 105843, 103350, 127145, 9174, 20, 12, 17, 12, 16, 13, 66378, 17599, 112, 198, 51770, 50, 16144, 66378, 17599, 112, 15682, 20, 59739, 57903, 33541, 9174, 16, 13, 105729, 16073, 71634, 64178, 113473, 16556, 112832, 19732, 72661, 112825, 110904, 107294, 105722, 104028, 30177, 106307, 34171, 198, 17, 13, 116808, 232, 105469, 26854, 118192, 108270, 16073, 121432, 16556, 13153, 28873, 29295, 115442, 31431, 126172, 16995, 198, 18, 13, 84410, 111813, 30512, 61304, 108565, 9458, 106596, 39926, 19653, 31634, 63212, 104088, 59739, 105784, 198, 19, 13, 108791, 107908, 107507, 91062, 20230, 120273, 103664, 102181, 103296, 126233, 102971, 108608, 198, 20, 13, 63091, 61337, 122401, 120950, 71493, 105335, 68759, 122624, 29295, 108608, 198, 114435, 29295, 32018, 109315, 17905, 25129, 20, 118821, 31634, 72238, 30512, 122617, 114196, 101832, 104874, 107800, 110191, 118372, 33122, 111813, 123141, 38641, 9174, 20, 12, 17, 12, 17, 13, 121432, 198, 51770, 50, 16144, 36668, 26854, 121432, 19732, 121432, 44915, 104088, 38144, 64121, 17129, 109954, 9174, 112366, 46702, 26955, 254, 28542, 55031, 110284, 29295, 88367, 198, 19360, 17905, 113245, 13372, 110456, 39209, 109033, 29295, 88367, 198, 80805, 102741, 109713, 20230, 52563, 110731, 55723, 28190, 30512, 112661, 126101, 55999, 19361, 88367, 198, 91774, 72342, 106956, 109544, 30512, 107059, 65299, 45923, 55031, 105324, 102802, 20834, 39926, 55723, 28190, 17905, 20230, 77413, 87447, 108608, 198, 79785, 126390, 115681, 16556, 57933, 62903, 71634, 33208, 198, 51770, 50, 16556, 120999, 56051, 108134, 30512, 22398, 102663, 115478, 64178, 39880, 115507, 20230, 89046, 120988, 198, 14783, 39880, 96452, 37823, 103906, 29220, 105335, 41758, 71289, 47307, 41758, 68759, 102750, 78767, 68581, 115247, 102332, 22324, 29295, 88367, 198, 20, 12, 17, 12, 18, 13, 114387, 17792, 107898, 125683, 62004, 198, 51770, 50, 15682, 118192, 108270, 100560, 95, 65575, 16556, 109544, 16144, 55999, 19361, 29295, 112825, 110904, 20230, 103082, 115926, 5486, 14167, 100, 65854, 110792, 22398, 102663, 115478, 64178, 16144, 89046, 120988, 5486, 115143, 102052, 106596, 121432, 29295, 47000, 16995, 100481, 125655, 103846, 5486, 101918, 16144, 122626, 71289, 16937, 91875, 106518, 105525, 107691, 123160, 33122, 111813, 20230, 76706, 11883, 16995, 90620, 76622, 33541, 9174, 102159, 107707, 33334, 65854, 103826, 30512, 103359, 47523, 114267, 47043, 9458, 125175, 104908, 114435, 198, 110191, 118372, 16556, 17620, 92148, 110, 111817, 104272, 71289, 117018, 16144, 122626, 198, 110191, 118372, 16556, 101918, 109198, 17701, 16144, 33122, 111813, 71289, 101918, 111800, 71289, 23951, 22649, 16144, 50021, 111813, 198, 17039, 104703, 17039, 122924, 110792, 110191, 118372, 30177, 65854, 71289, 76537, 43514, 114146, 198, 60596, 13, 91482, 68408, 90962, 109933, 67075, 30512, 76706, 11883, 56051, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 16556, 33334, 101128, 102, 64121, 120332, 15682, 127637, 48154, 50021, 111813, 72315, 198, 20251, 93488, 118283, 22398, 102494, 22398, 77181, 108948, 65854, 103826, 114435, 16144, 111681, 104482, 30512, 107461, 39880, 122835, 56051, 17905, 16556, 5486, 91482, 68408, 90962, 109933, 67075, 90962, 99695, 44971, 38248, 115, 78205, 113883, 48154, 29172, 81742, 30512, 103350, 102923, 127145, 9174, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 16144, 106839, 17701, 121142, 103470, 5486, 91482, 68408, 90962, 109933, 67075, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 106839, 101911, 113404, 5486, 109713, 47307, 110548, 120690, 113245, 110191, 118372, 30177, 65854, 103296, 90962, 99695, 44971, 38248, 115, 78205, 118804, 117243, 30512, 111800, 118219, 56051, 17905, 16556, 108948, 65854, 103826, 114435, 20230, 114146, 28713, 102741, 37823, 72369, 38248, 115, 78205, 16073, 30512, 104908, 127145, 9174, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 30512, 76706, 11883, 56051, 110191, 118372, 30177, 65854, 30512, 103350, 102923, 56051, 16995, 24273, 15682, 21043, 66776, 48154, 50021, 111813, 72315, 9174, 74245, 60358, 72661, 9080, 106518, 115681, 101918, 103826, 122692, 5486, 91482, 68408, 90962, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 122521, 30512, 107726, 100481, 90620, 102532, 108086, 33541, 9174, 30926, 27452, 109853, 15682, 117896, 30512, 126229, 72315, 9174, 123011, 62004, 198, 91482, 68408, 90962, 109933, 67075, 15682, 107740, 54926, 118733, 5486, 37823, 102494, 84477, 102756, 105048, 16325, 16144, 61337, 32943, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 64121, 105110, 101860, 5486, 116245, 71289, 127284, 82973, 30512, 95221, 117657, 100909, 103470, 14167, 100, 65854, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 30369, 105908, 125545, 9174, 110191, 118372, 30177, 65854, 71289, 110191, 118372, 33122, 111813, 29295, 88367, 121711, 5486, 91482, 76428, 102750, 117718, 111044, 29295, 108285, 29295, 31431, 33541, 9174, 118789, 9554, 102052, 5486, 88852, 16144, 105908, 103350, 102321, 108608, 101200, 115717, 33541, 9174, 9458, 110191, 118372, 33122, 111813, 63415, 110191, 118372, 30177, 65854, 63415, 110191, 118372, 111848, 102208, 104091, 47260, 64178, 120690, 117271, 198, 91482, 68408, 90962, 109933, 67075, 103223, 64178, 15682, 43240, 104091, 104770, 20834, 127280, 29295, 5486, 33671, 16144, 18, 118821, 120098, 30512, 110408, 30813, 107290, 37026, 61337, 125030, 76947, 32335, 109431, 26854, 103223, 64178, 30512, 102647, 104369, 106592, 33334, 125683, 62004, 78434, 9174, 9458, 108152, 38248, 114, 115247, 32018, 109315, 78683, 106240, 20230, 114146, 38144, 102647, 104369, 220, 63415 ]
[ 30832, 112535, 40862, 100472, 121432, 16556, 102647, 104369, 198, 9458, 80805, 102741, 109713, 9458, 124131, 84477, 108526, 16073, 20230, 114146, 38144, 102647, 104369, 198, 91482, 68408, 90962, 109933, 67075, 16144, 107740, 29295, 108285, 29295, 31431, 5486, 101682, 76622, 125639, 126172, 115737, 100472, 37271, 127105, 5486, 37026, 61337, 16144, 121101, 20230, 32335, 109431, 26854, 103223, 64178, 30512, 108167, 17701, 106824, 5486, 91482, 76428, 102750, 22398, 109933, 107446, 30512, 108285, 102639, 100481, 50834, 17129, 109954, 6447, 128001, 128000, 64780, 115240, 15682, 103293, 9080, 116491, 16144, 115592, 102540, 16073, 102895, 67075, 198, 101365, 106618, 101701, 72099, 50021, 54872, 53229, 23530, 16144, 108502, 104698, 30046, 102923, 102332, 16556, 5486, 17701, 104157, 30046, 777, 114754, 110456, 108055, 107001, 102677, 58721, 29295, 102404, 21990, 9174, 112599, 16144, 39177, 28542, 77181, 78943, 45893, 29295, 126845, 100990, 250, 15024, 106116, 37087, 37729, 15682, 112185, 31958, 33503, 32149, 111769, 1811, 109846, 109373, 116537, 102923, 102332, 16144, 24186, 107430, 102351, 16556, 5486, 108502, 104698, 30046, 30512, 104195, 47884, 127500, 104127, 102334, 102677, 108134, 32977, 101182, 9174, 16995, 101860, 33121, 20230, 72342, 57980, 115847, 103378, 16144, 106045, 54872, 16144, 122333, 108055, 116537, 102433, 77181, 121143, 43240, 20230, 102404, 21990, 21105, 103, 16995, 9174, 47774, 13177, 106719, 58911, 58721, 10646, 20230, 33671, 104699, 33565, 101, 108740, 198, 60358, 31640, 23897, 104989, 16144, 102433, 122692, 122333, 108055, 17792, 16556, 32335, 32977, 101890, 254, 17044, 110, 30046, 29295, 127181, 104468, 5486, 7285, 23, 116033, 102404, 21990, 56051, 106719, 58911, 58721, 103195, 9174, 85701, 15682, 13177, 106719, 58911, 966, 17792, 108055, 15024, 66383, 95604, 103283, 13372, 16556, 53283, 102204, 5486, 109203, 36117, 251, 37656, 102512, 16144, 44620, 102397, 59739, 124652, 101634, 36761, 16144, 123604, 110276, 58721, 36785, 1811, 112599, 16144, 106344, 58911, 72099, 106719, 122063, 117083, 43167, 102936, 16556, 5486, 72368, 103932, 84949, 99, 105330, 29295, 103842, 225, 19732, 102433, 109578, 30512, 110794, 121216, 5486, 101987, 70821, 966, 17792, 30512, 33565, 101, 108055, 9174, 80539, 37271, 18904, 16144, 50021, 54872, 53229, 113245, 58721, 15682, 5486, 102625, 30046, 9039, 16556, 106719, 58911, 58721, 16144, 33671, 28542, 20230, 82912, 54926, 1811, 90620, 110382, 16556, 26130, 30832, 17663, 125231, 15682, 5486, 33091, 27479, 16144, 58721, 16144, 109373, 116537, 103842, 225, 30512, 38129, 109768, 100604, 102677, 100909, 36785, 9174, 47774, 31958, 71005, 23226, 24186, 123434, 126636, 106045, 54872, 110456, 108055, 58721, 198, 13177, 6701, 225, 53953, 16556, 33671, 104680, 19732, 17792, 30512, 110456, 56051, 66383, 95604, 58721, 16556, 126843, 114284, 40265, 28713, 30369, 104468, 5486, 1049, 23, 116358, 107795, 105065, 53229, 121640, 102676, 58721, 108995, 9174, 51330, 125344, 109373, 116537, 17, 20251, 52414, 118359, 16556, 105564, 23039, 30046, 30512, 15682, 101832, 28713, 16144, 43514, 5486, 101918, 30512, 104989, 31431, 38144, 23530, 70821, 30512, 110456, 108055, 54926, 20230, 57237, 100472, 1811, 33655, 100472, 104468, 99959, 102472, 109793, 25197, 52591, 5486, 17663, 26854, 78183, 43514, 110176, 6701, 225, 16144, 13177, 119063, 10646, 103195, 118844, 112212, 5486, 22, 114754, 51609, 30512, 102936, 114267, 9174, 53900, 5486, 1049, 16, 116358, 116622, 104378, 102667, 47000, 103204, 107980, 101129, 31809, 104575, 113245, 58721, 32977, 112727, 106824, 112987, 124324, 1811, 117896, 16144, 58721, 16144, 12870, 114, 32648, 15682, 20834, 6701, 225, 68379, 104257, 16556, 120268, 106718, 23, 114754, 101890, 254, 17044, 110, 110276, 9174, 50021, 54872, 53229, 16144, 58721, 15682, 108048, 33503, 19732, 125261, 120837, 102625, 30046, 9039, 16556, 119448, 47884, 17905, 18904, 103836, 66327, 6701, 225, 53953, 111848, 122333, 108055, 17792, 66383, 95604, 75146, 107253, 16556, 91774, 104984, 5486, 31958, 71005, 23226, 24186, 23897, 104989, 32335, 32977, 27384, 106045, 54872, 26854, 58721, 36785, 9174, 47774, 6701, 225, 53953, 16, 22656, 77181, 16937, 88367, 198, 109846, 6701, 225, 53953, 121142, 9039, 95598, 17792, 30512, 110456, 17663, 104856, 104533, 5486, 112672, 106272, 16, 22656, 103378, 77181, 16937, 88367, 9174, 7028, 20, 116033, 116622, 16556, 13177, 45144, 222, 70277, 21, 17792, 7741, 105, 31431, 58721, 66383, 95604, 102944, 122291, 118844, 15682, 102433, 109578, 111848, 12870, 114, 23039, 16556, 5486, 20, 114754, 121993, 15024, 16, 114754, 110176, 117395, 30512, 21388, 30297, 30358, 114218, 30512, 109972, 100472, 1811, 43514, 26854, 64121, 20230, 51330, 125344, 123726, 108618, 31431, 29295, 5486, 102321, 31640, 77181, 102433, 55723, 46729, 103306, 53283, 110071, 103420, 59999, 100, 27384, 102465, 110480, 100927, 103195, 9174, 85701, 15682, 116900, 20230, 78244, 116285, 123085, 109578, 16556, 3484, 28359, 17792, 30512, 7741, 105, 104984, 33655, 16995, 53953, 101983, 33503, 103470, 109020, 102677, 100909, 1811, 96452, 25197, 52591, 71289, 68379, 104257, 105110, 126738, 115143, 16556, 5486, 28713, 100472, 16, 22656, 16144, 6701, 225, 53953, 16556, 17792, 30512, 33671, 104680, 110456, 17663, 104309, 102677, 109335, 118765, 1811, 102321, 20230, 37271, 18904, 16144, 58721, 16144, 109373, 116537, 5486, 109242, 9039, 22656, 16144, 6701, 225, 53953, 114792, 106358, 101200, 36785, 9174, 17663, 26854, 78183, 43514, 85701, 15682, 36896, 82420, 55723, 109904, 122333, 108055, 17792, 103351, 66383, 95604, 106592, 20379, 103792, 9174, 47774, 20834, 124629, 40526, 15682, 115681, 45923, 39880, 103351, 95532, 53900, 110371, 58721, 30512, 50834, 42891, 126929, 20230, 103842, 225, 109578, 25333, 29295, 23226, 37656, 107001, 125396, 32977, 9174, 109373, 114754, 67645, 120950, 104091, 104770, 16144, 6701, 225, 53953, 124905, 100472, 104865, 15682, 37271, 16144, 39177, 28542, 16556, 16937, 31958, 109846, 5486, 107795, 105065, 53229, 121640, 102676, 58721, 16144, 104983, 15682, 99959, 102472, 109793, 25197, 52591, 29295, 26130, 30832, 103646, 1811, 112599, 77181, 6701, 225, 110968, 31431, 20, 13, 20, 6358, 71689, 16144, 119063, 15682, 5486, 32938, 69978, 29295, 124260, 125939, 18904, 32977, 102131, 56051, 91875, 50834, 29295, 125119, 30369, 32149, 121061, 9174, 53900, 5486, 58721, 102321, 75267, 16144, 102923, 102332, 16144, 37656, 28190, 20834, 124629, 40526, 15682, 115681, 45923, 39880, 103195, 102677, 108134, 29295, 15024, 33503, 103854, 119902, 104817, 43167, 34048, 109156, 103836, 1811, 102987, 103309, 115351, 16144, 82973, 72661, 5486, 16937, 117859, 30046, 29295, 102923, 102332, 20230, 117976, 17701, 54926, 109335, 119237, 36785, 9174, 108895, 56051, 115789, 96412, 107436, 115515, 74482, 104760, 105242, 29295, 102404, 21990, 54926, 108995, 9174, 9458, 114146, 38144, 98499, 115226, 52118, 115173, 68759, 71289, 106384, 122131, 16144, 102616, 103378, 110034, 11571, 124381, 60358, 20230, 105693, 33563, 117126, 35330, 108055, 17792, 128001, 128000, 14711, 80050, 20251, 42634, 102832, 37823, 111672, 96452, 107840, 16144, 43, 11547, 39850, 108337, 126694, 30369, 198, 12, 106555, 57933, 103621, 102540, 5232, 7072, 512, 61826, 9080, 3922, 102433, 106554, 16144, 57207, 37823, 47260, 100560, 237, 115474, 55999, 80195, 16556, 109198, 17701, 56051, 3922, 71634, 42634, 102832, 37823, 111672, 96452, 107840, 16144, 43, 11547, 39850, 108337, 38248, 255, 67075, 126694, 76947, 64121, 28713, 113334, 119627, 3922, 58426, 99750, 101067, 30512, 81219, 9174, 10351, 17, 117084, 55031, 32977, 102971, 106391, 26854, 82973, 29295, 106613, 103836, 23187, 87217, 62903, 67075, 38641, 105879, 3922, 58426, 99750, 101067, 26854, 108422, 112832, 32977, 108031, 125494, 21105, 103, 16995, 106046, 61689, 29295, 3922, 110596, 101557, 106, 72342, 101860, 102181, 102532, 64121, 33541, 9174, 9458, 62903, 67075, 95532, 102181, 50834, 121423, 111587, 64121, 16144, 8253, 49, 3922, 65103, 32977, 9150, 104770, 32977, 21441, 225, 76947, 102532, 3922, 102472, 32131, 76739, 89154, 16144, 110176, 28190, 75146, 88631, 20230, 102040, 108506, 122382, 54926, 103378, 16144, 62903, 67075, 38641, 55031, 3922, 19732, 111243, 95221, 105465, 38641, 15024, 105465, 106624, 124448, 125545, 1811, 22398, 25197, 108981, 32977, 75146, 88631, 17905, 20230, 102040, 108506, 122382, 54926, 105879, 3922, 126465, 109156, 33121, 123207, 33655, 119841, 102677, 102944, 126194, 3922, 86127, 119775, 102944, 104699, 30813, 16556, 126465, 109156, 104028, 16144, 30512, 117913, 8239, 104, 29295, 30369, 17792, 72661, 3922, 30813, 104043, 33655, 105262, 103350, 11883, 62903, 67075, 36785, 106046, 61689, 9174, 9458, 18904, 47095, 111629, 95532, 62903, 67075, 103306, 105260, 51609, 9554, 102677, 32149, 3922, 32977, 15682, 71289, 78244, 102158, 45893, 64889, 26854, 104468, 3922, 18904, 47095, 111629, 119703, 100909, 38641, 1811, 8253, 49, 16144, 102741, 112508, 30512, 121298, 72342, 57980, 3922, 102083, 113017, 16144, 111769, 38641, 57980, 1811, 116254, 90397, 233, 20230, 3922, 62903, 67075, 16556, 18904, 47095, 111629, 119703, 104468, 87177, 101983, 110104, 3922, 102677, 100909, 38641, 9174, 26854, 112649, 121298, 118765, 109243, 28741, 72661, 101182, 104127, 109954, 32149, 1811, 10351, 16, 77181, 121298, 84389, 101732, 102131, 38641, 55031, 3922, 103283, 20230, 71634, 42634, 102832, 37823, 111672, 96452, 107840, 29295, 37689, 30590, 109161, 30512, 103792, 105933, 112391, 77181, 26854, 30813, 102131, 38641, 9174, 80673, 3922, 18904, 47095, 111629, 119703, 19732, 127258, 103468, 126101, 23951, 22649, 32977, 111108, 106624, 26854, 31431, 33541, 15024, 3922, 103350, 15682, 62903, 67075, 16144, 103214, 64121, 121697, 16144, 38574, 106090, 72661, 3922, 56965, 108010, 124059, 20230, 34048, 25446, 30512, 108167, 47000, 105784, 107693, 26854, 108134, 115717, 33541, 9174, 77693, 20230, 3922, 62903, 67075, 102677, 104468, 3922, 23226, 67178, 39926, 118463, 122060, 117824, 100472, 31431, 119101, 114774, 17663, 47884, 54926, 102677, 105908, 9080, 40053, 112535, 23039, 126832, 102944, 119627, 3922, 18904, 47095, 111629, 119703, 19732, 3922, 77693, 32977, 111108, 106624, 26854, 76947, 103801, 61689, 9174, 116414, 29295, 118463, 20230, 117375, 54926, 104865, 3922, 26854, 112649, 102097, 27479, 30512, 118396, 54926, 104865, 3922, 58426, 34048, 25446, 15682, 104405, 95604, 122502, 50834, 123410, 104865, 3922, 102131, 95604, 105908, 18904, 47095, 111629, 102052, 20834, 127280, 1811, 85707, 48864, 30046, 29295, 53508, 231, 104195, 108176, 104468, 62903, 67075, 16144, 102131, 95604, 32938, 29295, 104622, 115032, 55031, 38641, 15024, 3922, 120115, 102301, 30512, 103350, 33014, 55487, 101911, 111629, 121142, 71289, 31431, 30250, 224, 102639, 28713, 110229, 16556, 3922, 30591, 109709, 115552, 119703, 16144, 111769, 32149, 106046, 61689, 9174, 122571, 3922, 51330, 30926, 103350, 16556, 3922, 71634, 42634, 102832, 37823, 111672, 96452, 107840, 102677, 108695, 20230, 3922, 120065, 107750, 99397, 30512, 112391, 30369, 101200, 115717, 79721, 9174, 9458, 122984, 102181, 95532, 107202, 78244, 30512, 125672, 39926, 122416, 119627, 3922, 26854, 20230, 72342, 122984, 102181, 29295, 98499, 64121, 20230, 47884, 47884, 3922, 114652, 98499, 25827, 72661, 16995, 17129, 115303, 59739, 70563, 16073, 110018, 107515, 1811, 103672, 127065, 15682, 19, 59739, 57903, 33541, 29295, 3922, 26854, 112371, 19, 118821, 103672, 127065, 30512, 11883, 37689, 56051, 104865, 3922, 19, 118821, 103672, 127065, 102052, 104405, 95604, 121432, 30512, 39880, 60868, 76171, 56051, 104865, 29295, 124957, 112535, 102181, 32149, 106824, 33334, 121140, 3922, 101467, 37656, 39177, 102052, 108895, 15024, 85791, 3922, 47260, 52414, 32131, 71634, 104873, 64531, 15682, 108895, 15024, 85791, 3922, 108270, 42634, 104873, 64531, 15682, 108895, 15024, 85791, 19732, 3922, 121432, 30512, 100818, 116, 20230, 122984, 30512, 39926, 101182, 16144, 125651, 9174, 77693, 72661, 104712, 16144, 119627, 3922, 102971, 91077, 33655, 78183, 100604, 22398, 25197, 108981, 107407, 19732, 3922, 85701, 76947, 105321, 16144, 22398, 25197, 108981, 36785, 3922, 19732, 112844, 100909, 109020, 113334, 16556, 3922, 77693, 30512, 50338, 104662, 54926, 115789, 122984, 102181, 16144, 107734, 111017, 38641, 1811, 118544, 105352, 22649, 39276, 16144, 114754, 102181, 102334, 102677, 112391, 29295, 54926, 122984, 102181, 102677, 104371, 47523, 16556, 3922, 109161, 37689, 120937, 16144, 119627, 3922, 106782, 240, 62004, 109115, 102944, 111769, 123253, 9174, 9458, 118463, 95532, 125144, 104364, 15682, 16, 4, 19732, 27384, 104680, 112535, 16995, 76947, 15682, 61689, 29295, 3922, 125144, 104364, 16, 4, 30512, 62903, 107610, 108608, 104468, 3922, 109713, 68408, 16073, 60868, 77181, 605, 79, 37, 55031, 15, 13, 1721, 84, 37, 120264, 103296, 38641, 1811, 32977, 43514, 85791, 25827, 122414, 65316, 24273, 20230, 111179, 109739, 37729, 33857, 68171, 37507, 16144, 125144, 104364, 107407, 104468, 78183, 107277, 33541, 29295, 3922, 106384, 33710, 91062, 109713, 68408, 16073, 60868, 71289, 64810, 32131, 101198, 48552, 109713, 68408, 16073, 60868, 72661, 16, 84, 37, 30512, 104087, 105262, 102944, 29295, 110219, 20230, 46034, 109156, 30369, 118288, 37271, 3922, 15, 13, 1721, 84, 37, 120264, 103296, 67016, 99959, 39850, 102677, 104468, 3922, 120065, 16906, 111, 102800, 38641, 9174, 122270, 105260, 51609, 9554, 10110, 105260, 51609, 109904, 87177, 122416, 38641, 64121, 107515, 7705, 26854, 104468, 3922, 15, 13, 1721, 84, 37, 55031, 15, 13, 16, 84, 37, 118816, 3922, 125144, 104364, 29295, 18, 4, 120264, 101983, 104533, 102181, 32149, 115032, 16144, 38641, 9174, 114774, 3922, 18, 4, 108176, 104468, 106548, 24273, 115991, 107515, 119520, 3922, 109606, 15682, 3922, 16, 4, 30512, 30297, 28713, 100472, 108867, 23187, 32648, 29295, 3922, 101182, 110229, 16556, 18, 71082, 77693, 71689, 16144, 125144, 104364, 114792, 59739, 30926, 30512, 102181, 102532, 103801, 103836, 100909, 38641, 1811, 77181, 3922, 16, 13, 17, 4, 15682, 67645, 51330, 30591, 115926, 55031, 3922, 16, 13, 23, 4, 15682, 67645, 16144, 30591, 115926, 55031, 3922, 19732, 3922, 52563, 110731, 112603, 30512, 116414, 103296, 22023, 100204, 100481, 16995, 104865, 3922, 78183, 55031, 123733, 76947, 114732, 16144, 38641, 9174, 85701, 105110, 3922, 16, 4, 30512, 109205, 69978, 108608, 37729, 33857, 15682, 116414, 55031, 116414, 103296, 3922, 18, 4, 105110, 116414, 55031, 116414, 103296, 3922, 19732, 102181, 47884, 125231, 116787, 3922, 51330, 105107, 25446, 119775, 15, 13, 1721, 84, 37, 55031, 15, 13, 16, 84, 37, 16556, 18, 4, 113314, 3922, 77181, 3922, 30591, 25827, 109709, 36785, 119150, 16144, 38641, 9174, 85701 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30832, 112535, 40862, 100472, 121432, 16556, 102647, 104369, 198, 9458, 80805, 102741, 109713, 9458, 124131, 84477, 108526, 16073, 20230, 114146, 38144, 102647, 104369, 198, 91482, 68408, 90962, 109933, 67075, 16144, 107740, 29295, 108285, 29295, 31431, 5486, 101682, 76622, 125639, 126172, 115737, 100472, 37271, 127105, 5486, 37026, 61337, 16144, 121101, 20230, 32335, 109431, 26854, 103223, 64178, 30512, 108167, 17701, 106824, 5486, 91482, 76428, 102750, 22398, 109933, 107446, 30512, 108285, 102639, 100481, 50834, 17129, 109954, 6447, 128001, 128000, 64780, 115240, 15682, 103293, 9080, 116491, 16144, 115592, 102540, 16073, 102895, 67075, 198, 101365, 106618, 101701, 72099, 50021, 54872, 53229, 23530, 16144, 108502, 104698, 30046, 102923, 102332, 16556, 5486, 17701, 104157, 30046, 777, 114754, 110456, 108055, 107001, 102677, 58721, 29295, 102404, 21990, 9174, 112599, 16144, 39177, 28542, 77181, 78943, 45893, 29295, 126845, 100990, 250, 15024, 106116, 37087, 37729, 15682, 112185, 31958, 33503, 32149, 111769, 1811, 109846, 109373, 116537, 102923, 102332, 16144, 24186, 107430, 102351, 16556, 5486, 108502, 104698, 30046, 30512, 104195, 47884, 127500, 104127, 102334, 102677, 108134, 32977, 101182, 9174, 16995, 101860, 33121, 20230, 72342, 57980, 115847, 103378, 16144, 106045, 54872, 16144, 122333, 108055, 116537, 102433, 77181, 121143, 43240, 20230, 102404, 21990, 21105, 103, 16995, 9174, 47774, 13177, 106719, 58911, 58721, 10646, 20230, 33671, 104699, 33565, 101, 108740, 198, 60358, 31640, 23897, 104989, 16144, 102433, 122692, 122333, 108055, 17792, 16556, 32335, 32977, 101890, 254, 17044, 110, 30046, 29295, 127181, 104468, 5486, 7285, 23, 116033, 102404, 21990, 56051, 106719, 58911, 58721, 103195, 9174, 85701, 15682, 13177, 106719, 58911, 966, 17792, 108055, 15024, 66383, 95604, 103283, 13372, 16556, 53283, 102204, 5486, 109203, 36117, 251, 37656, 102512, 16144, 44620, 102397, 59739, 124652, 101634, 36761, 16144, 123604, 110276, 58721, 36785, 1811, 112599, 16144, 106344, 58911, 72099, 106719, 122063, 117083, 43167, 102936, 16556, 5486, 72368, 103932, 84949, 99, 105330, 29295, 103842, 225, 19732, 102433, 109578, 30512, 110794, 121216, 5486, 101987, 70821, 966, 17792, 30512, 33565, 101, 108055, 9174, 80539, 37271, 18904, 16144, 50021, 54872, 53229, 113245, 58721, 15682, 5486, 102625, 30046, 9039, 16556, 106719, 58911, 58721, 16144, 33671, 28542, 20230, 82912, 54926, 1811, 90620, 110382, 16556, 26130, 30832, 17663, 125231, 15682, 5486, 33091, 27479, 16144, 58721, 16144, 109373, 116537, 103842, 225, 30512, 38129, 109768, 100604, 102677, 100909, 36785, 9174, 47774, 31958, 71005, 23226, 24186, 123434, 126636, 106045, 54872, 110456, 108055, 58721, 198, 13177, 6701, 225, 53953, 16556, 33671, 104680, 19732, 17792, 30512, 110456, 56051, 66383, 95604, 58721, 16556, 126843, 114284, 40265, 28713, 30369, 104468, 5486, 1049, 23, 116358, 107795, 105065, 53229, 121640, 102676, 58721, 108995, 9174, 51330, 125344, 109373, 116537, 17, 20251, 52414, 118359, 16556, 105564, 23039, 30046, 30512, 15682, 101832, 28713, 16144, 43514, 5486, 101918, 30512, 104989, 31431, 38144, 23530, 70821, 30512, 110456, 108055, 54926, 20230, 57237, 100472, 1811, 33655, 100472, 104468, 99959, 102472, 109793, 25197, 52591, 5486, 17663, 26854, 78183, 43514, 110176, 6701, 225, 16144, 13177, 119063, 10646, 103195, 118844, 112212, 5486, 22, 114754, 51609, 30512, 102936, 114267, 9174, 53900, 5486, 1049, 16, 116358, 116622, 104378, 102667, 47000, 103204, 107980, 101129, 31809, 104575, 113245, 58721, 32977, 112727, 106824, 112987, 124324, 1811, 117896, 16144, 58721, 16144, 12870, 114, 32648, 15682, 20834, 6701, 225, 68379, 104257, 16556, 120268, 106718, 23, 114754, 101890, 254, 17044, 110, 110276, 9174, 50021, 54872, 53229, 16144, 58721, 15682, 108048, 33503, 19732, 125261, 120837, 102625, 30046, 9039, 16556, 119448, 47884, 17905, 18904, 103836, 66327, 6701, 225, 53953, 111848, 122333, 108055, 17792, 66383, 95604, 75146, 107253, 16556, 91774, 104984, 5486, 31958, 71005, 23226, 24186, 23897, 104989, 32335, 32977, 27384, 106045, 54872, 26854, 58721, 36785, 9174, 47774, 6701, 225, 53953, 16, 22656, 77181, 16937, 88367, 198, 109846, 6701, 225, 53953, 121142, 9039, 95598, 17792, 30512, 110456, 17663, 104856, 104533, 5486, 112672, 106272, 16, 22656, 103378, 77181, 16937, 88367, 9174, 7028, 20, 116033, 116622, 16556, 13177, 45144, 222, 70277, 21, 17792, 7741, 105, 31431, 58721, 66383, 95604, 102944, 122291, 118844, 15682, 102433, 109578, 111848, 12870, 114, 23039, 16556, 5486, 20, 114754, 121993, 15024, 16, 114754, 110176, 117395, 30512, 21388, 30297, 30358, 114218, 30512, 109972, 100472, 1811, 43514, 26854, 64121, 20230, 51330, 125344, 123726, 108618, 31431, 29295, 5486, 102321, 31640, 77181, 102433, 55723, 46729, 103306, 53283, 110071, 103420, 59999, 100, 27384, 102465, 110480, 100927, 103195, 9174, 85701, 15682, 116900, 20230, 78244, 116285, 123085, 109578, 16556, 3484, 28359, 17792, 30512, 7741, 105, 104984, 33655, 16995, 53953, 101983, 33503, 103470, 109020, 102677, 100909, 1811, 96452, 25197, 52591, 71289, 68379, 104257, 105110, 126738, 115143, 16556, 5486, 28713, 100472, 16, 22656, 16144, 6701, 225, 53953, 16556, 17792, 30512, 33671, 104680, 110456, 17663, 104309, 102677, 109335, 118765, 1811, 102321, 20230, 37271, 18904, 16144, 58721, 16144, 109373, 116537, 5486, 109242, 9039, 22656, 16144, 6701, 225, 53953, 114792, 106358, 101200, 36785, 9174, 17663, 26854, 78183, 43514, 85701, 15682, 36896, 82420, 55723, 109904, 122333, 108055, 17792, 103351, 66383, 95604, 106592, 20379, 103792, 9174, 47774, 20834, 124629, 40526, 15682, 115681, 45923, 39880, 103351, 95532, 53900, 110371, 58721, 30512, 50834, 42891, 126929, 20230, 103842, 225, 109578, 25333, 29295, 23226, 37656, 107001, 125396, 32977, 9174, 109373, 114754, 67645, 120950, 104091, 104770, 16144, 6701, 225, 53953, 124905, 100472, 104865, 15682, 37271, 16144, 39177, 28542, 16556, 16937, 31958, 109846, 5486, 107795, 105065, 53229, 121640, 102676, 58721, 16144, 104983, 15682, 99959, 102472, 109793, 25197, 52591, 29295, 26130, 30832, 103646, 1811, 112599, 77181, 6701, 225, 110968, 31431, 20, 13, 20, 6358, 71689, 16144, 119063, 15682, 5486, 32938, 69978, 29295, 124260, 125939, 18904, 32977, 102131, 56051, 91875, 50834, 29295, 125119, 30369, 32149, 121061, 9174, 53900, 5486, 58721, 102321, 75267, 16144, 102923, 102332, 16144, 37656, 28190, 20834, 124629, 40526, 15682, 115681, 45923, 39880, 103195, 102677, 108134, 29295, 15024, 33503, 103854, 119902, 104817, 43167, 34048, 109156, 103836, 1811, 102987, 103309, 115351, 16144, 82973, 72661, 5486, 16937, 117859, 30046, 29295, 102923, 102332, 20230, 117976, 17701, 54926, 109335, 119237, 36785, 9174, 108895, 56051, 115789, 96412, 107436, 115515, 74482, 104760, 105242, 29295, 102404, 21990, 54926, 108995, 9174, 9458, 114146, 38144, 98499, 115226, 52118, 115173, 68759, 71289, 106384, 122131, 16144, 102616, 103378, 110034, 11571, 124381, 60358, 20230, 105693, 33563, 117126, 35330, 108055, 17792, 128001, 128000, 14711, 80050, 20251, 42634, 102832, 37823, 111672, 96452, 107840, 16144, 43, 11547, 39850, 108337, 126694, 30369, 198, 12, 106555, 57933, 103621, 102540, 5232, 7072, 512, 61826, 9080, 3922, 102433, 106554, 16144, 57207, 37823, 47260, 100560, 237, 115474, 55999, 80195, 16556, 109198, 17701, 56051, 3922, 71634, 42634, 102832, 37823, 111672, 96452, 107840, 16144, 43, 11547, 39850, 108337, 38248, 255, 67075, 126694, 76947, 64121, 28713, 113334, 119627, 3922, 58426, 99750, 101067, 30512, 81219, 9174, 10351, 17, 117084, 55031, 32977, 102971, 106391, 26854, 82973, 29295, 106613, 103836, 23187, 87217, 62903, 67075, 38641, 105879, 3922, 58426, 99750, 101067, 26854, 108422, 112832, 32977, 108031, 125494, 21105, 103, 16995, 106046, 61689, 29295, 3922, 110596, 101557, 106, 72342, 101860, 102181, 102532, 64121, 33541, 9174, 9458, 62903, 67075, 95532, 102181, 50834, 121423, 111587, 64121, 16144, 8253, 49, 3922, 65103, 32977, 9150, 104770, 32977, 21441, 225, 76947, 102532, 3922, 102472, 32131, 76739, 89154, 16144, 110176, 28190, 75146, 88631, 20230, 102040, 108506, 122382, 54926, 103378, 16144, 62903, 67075, 38641, 55031, 3922, 19732, 111243, 95221, 105465, 38641, 15024, 105465, 106624, 124448, 125545, 1811, 22398, 25197, 108981, 32977, 75146, 88631, 17905, 20230, 102040, 108506, 122382, 54926, 105879, 3922, 126465, 109156, 33121, 123207, 33655, 119841, 102677, 102944, 126194, 3922, 86127, 119775, 102944, 104699, 30813, 16556, 126465, 109156, 104028, 16144, 30512, 117913, 8239, 104, 29295, 30369, 17792, 72661, 3922, 30813, 104043, 33655, 105262, 103350, 11883, 62903, 67075, 36785, 106046, 61689, 9174, 9458, 18904, 47095, 111629, 95532, 62903, 67075, 103306, 105260, 51609, 9554, 102677, 32149, 3922, 32977, 15682, 71289, 78244, 102158, 45893, 64889, 26854, 104468, 3922, 18904, 47095, 111629, 119703, 100909, 38641, 1811, 8253, 49, 16144, 102741, 112508, 30512, 121298, 72342, 57980, 3922, 102083, 113017, 16144, 111769, 38641, 57980, 1811, 116254, 90397, 233, 20230, 3922, 62903, 67075, 16556, 18904, 47095, 111629, 119703, 104468, 87177, 101983, 110104, 3922, 102677, 100909, 38641, 9174, 26854, 112649, 121298, 118765, 109243, 28741, 72661, 101182, 104127, 109954, 32149, 1811, 10351, 16, 77181, 121298, 84389, 101732, 102131, 38641, 55031, 3922, 103283, 20230, 71634, 42634, 102832, 37823, 111672, 96452, 107840, 29295, 37689, 30590, 109161, 30512, 103792, 105933, 112391, 77181, 26854, 30813, 102131, 38641, 9174, 80673, 3922, 18904, 47095, 111629, 119703, 19732, 127258, 103468, 126101, 23951, 22649, 32977, 111108, 106624, 26854, 31431, 33541, 15024, 3922, 103350, 15682, 62903, 67075, 16144, 103214, 64121, 121697, 16144, 38574, 106090, 72661, 3922, 56965, 108010, 124059, 20230, 34048, 25446, 30512, 108167, 47000, 105784, 107693, 26854, 108134, 115717, 33541, 9174, 77693, 20230, 3922, 62903, 67075, 102677, 104468, 3922, 23226, 67178, 39926, 118463, 122060, 117824, 100472, 31431, 119101, 114774, 17663, 47884, 54926, 102677, 105908, 9080, 40053, 112535, 23039, 126832, 102944, 119627, 3922, 18904, 47095, 111629, 119703, 19732, 3922, 77693, 32977, 111108, 106624, 26854, 76947, 103801, 61689, 9174, 116414, 29295, 118463, 20230, 117375, 54926, 104865, 3922, 26854, 112649, 102097, 27479, 30512, 118396, 54926, 104865, 3922, 58426, 34048, 25446, 15682, 104405, 95604, 122502, 50834, 123410, 104865, 3922, 102131, 95604, 105908, 18904, 47095, 111629, 102052, 20834, 127280, 1811, 85707, 48864, 30046, 29295, 53508, 231, 104195, 108176, 104468, 62903, 67075, 16144, 102131, 95604, 32938, 29295, 104622, 115032, 55031, 38641, 15024, 3922, 120115, 102301, 30512, 103350, 33014, 55487, 101911, 111629, 121142, 71289, 31431, 30250, 224, 102639, 28713, 110229, 16556, 3922, 30591, 109709, 115552, 119703, 16144, 111769, 32149, 106046, 61689, 9174, 122571, 3922, 51330, 30926, 103350, 16556, 3922, 71634, 42634, 102832, 37823, 111672, 96452, 107840, 102677, 108695, 20230, 3922, 120065, 107750, 99397, 30512, 112391, 30369, 101200, 115717, 79721, 9174, 9458, 122984, 102181, 95532, 107202, 78244, 30512, 125672, 39926, 122416, 119627, 3922, 26854, 20230, 72342, 122984, 102181, 29295, 98499, 64121, 20230, 47884, 47884, 3922, 114652, 98499, 25827, 72661, 16995, 17129, 115303, 59739, 70563, 16073, 110018, 107515, 1811, 103672, 127065, 15682, 19, 59739, 57903, 33541, 29295, 3922, 26854, 112371, 19, 118821, 103672, 127065, 30512, 11883, 37689, 56051, 104865, 3922, 19, 118821, 103672, 127065, 102052, 104405, 95604, 121432, 30512, 39880, 60868, 76171, 56051, 104865, 29295, 124957, 112535, 102181, 32149, 106824, 33334, 121140, 3922, 101467, 37656, 39177, 102052, 108895, 15024, 85791, 3922, 47260, 52414, 32131, 71634, 104873, 64531, 15682, 108895, 15024, 85791, 3922, 108270, 42634, 104873, 64531, 15682, 108895, 15024, 85791, 19732, 3922, 121432, 30512, 100818, 116, 20230, 122984, 30512, 39926, 101182, 16144, 125651, 9174, 77693, 72661, 104712, 16144, 119627, 3922, 102971, 91077, 33655, 78183, 100604, 22398, 25197, 108981, 107407, 19732, 3922, 85701, 76947, 105321, 16144, 22398, 25197, 108981, 36785, 3922, 19732, 112844, 100909, 109020, 113334, 16556, 3922, 77693, 30512, 50338, 104662, 54926, 115789, 122984, 102181, 16144, 107734, 111017, 38641, 1811, 118544, 105352, 22649, 39276, 16144, 114754, 102181, 102334, 102677, 112391, 29295, 54926, 122984, 102181, 102677, 104371, 47523, 16556, 3922, 109161, 37689, 120937, 16144, 119627, 3922, 106782, 240, 62004, 109115, 102944, 111769, 123253, 9174, 9458, 118463, 95532, 125144, 104364, 15682, 16, 4, 19732, 27384, 104680, 112535, 16995, 76947, 15682, 61689, 29295, 3922, 125144, 104364, 16, 4, 30512, 62903, 107610, 108608, 104468, 3922, 109713, 68408, 16073, 60868, 77181, 605, 79, 37, 55031, 15, 13, 1721, 84, 37, 120264, 103296, 38641, 1811, 32977, 43514, 85791, 25827, 122414, 65316, 24273, 20230, 111179, 109739, 37729, 33857, 68171, 37507, 16144, 125144, 104364, 107407, 104468, 78183, 107277, 33541, 29295, 3922, 106384, 33710, 91062, 109713, 68408, 16073, 60868, 71289, 64810, 32131, 101198, 48552, 109713, 68408, 16073, 60868, 72661, 16, 84, 37, 30512, 104087, 105262, 102944, 29295, 110219, 20230, 46034, 109156, 30369, 118288, 37271, 3922, 15, 13, 1721, 84, 37, 120264, 103296, 67016, 99959, 39850, 102677, 104468, 3922, 120065, 16906, 111, 102800, 38641, 9174, 122270, 105260, 51609, 9554, 10110, 105260, 51609, 109904, 87177, 122416, 38641, 64121, 107515, 7705, 26854, 104468, 3922, 15, 13, 1721, 84, 37, 55031, 15, 13, 16, 84, 37, 118816, 3922, 125144, 104364, 29295, 18, 4, 120264, 101983, 104533, 102181, 32149, 115032, 16144, 38641, 9174, 114774, 3922, 18, 4, 108176, 104468, 106548, 24273, 115991, 107515, 119520, 3922, 109606, 15682, 3922, 16, 4, 30512, 30297, 28713, 100472, 108867, 23187, 32648, 29295, 3922, 101182, 110229, 16556, 18, 71082, 77693, 71689, 16144, 125144, 104364, 114792, 59739, 30926, 30512, 102181, 102532, 103801, 103836, 100909, 38641, 1811, 77181, 3922, 16, 13, 17, 4, 15682, 67645, 51330, 30591, 115926, 55031, 3922, 16, 13, 23, 4, 15682, 67645, 16144, 30591, 115926, 55031, 3922, 19732, 3922, 52563, 110731, 112603, 30512, 116414, 103296, 22023, 100204, 100481, 16995, 104865, 3922, 78183, 55031, 123733, 76947, 114732, 16144, 38641, 9174, 85701, 105110, 3922, 16, 4, 30512, 109205, 69978, 108608, 37729, 33857, 15682, 116414, 55031, 116414, 103296, 3922, 18, 4, 105110, 116414, 55031, 116414, 103296, 3922, 19732, 102181, 47884, 125231, 116787, 3922, 51330, 105107, 25446, 119775, 15, 13, 1721, 84, 37, 55031, 15, 13, 16, 84, 37, 16556, 18, 4, 113314, 3922, 77181, 3922, 30591, 25827, 109709, 36785, 119150, 16144, 38641, 9174, 85701 ]
[ 30512, 114715, 102987, 98499, 64121, 39926, 3922, 15, 13, 1721, 84, 37, 103296, 105110, 16, 71082, 15, 13, 16, 84, 37, 17129, 77181, 18, 4, 19732, 122225, 120837, 57980, 117714, 119627, 3922, 105110, 15, 13, 2839, 84, 37, 105110, 104405, 26854, 104865, 3922, 15, 13, 24996, 84, 37, 105110, 104405, 26854, 104865, 3922, 18, 4, 113314, 102677, 104468, 104405, 95604, 100909, 26854, 104865, 119101, 30297, 107707, 101067, 66201, 48634, 20230, 49988, 116216, 103801, 61689, 1811, 108867, 23187, 32648, 30512, 13372, 110498, 30369, 105110, 3922, 85701, 15682, 99959, 39850, 38641, 9174, 77693, 19732, 3922, 15, 13, 2618, 84, 37, 16144, 109713, 68408, 16073, 60868, 30512, 108867, 23187, 39926, 64121, 28713, 16144, 119627, 3922, 15, 13, 1627, 84, 37, 19732, 103268, 17620, 108680, 16144, 112603, 30512, 20379, 121256, 1811, 122984, 102181, 102052, 125144, 104364, 29295, 119448, 47884, 38144, 33655, 119841, 19732, 101182, 105879, 17161, 106808, 15682, 78244, 58942, 107515, 29295, 3922, 39442, 53283, 16144, 112603, 30512, 108867, 23187, 54926, 110115, 3922, 98406, 60358, 47884, 108901, 109020, 112603, 30512, 50211, 95221, 26854, 115499, 39926, 52563, 54926, 102677, 104468, 3922, 120065, 16937, 106759, 102769, 107188, 102677, 112391, 32977, 78434, 1811, 114774, 3922, 85701, 15682, 33655, 30297, 114754, 95221, 116825, 118145, 57980, 16995, 102677, 100909, 116446, 33334, 50834, 17129, 109954, 9174, 126738, 3922, 76171, 99959, 29220, 47307, 15682, 26854, 107188, 32149, 103424, 30813, 102131, 38641, 1811, 108867, 23187, 119318, 116310, 15682, 15, 13, 16, 84, 39, 55031, 605, 76, 39, 38641, 105879, 3922, 110219, 20230, 33655, 30297, 102944, 15682, 114392, 108867, 23187, 88367, 38641, 15024, 3922, 109713, 68408, 16073, 60868, 119775, 57933, 105335, 20230, 108867, 23187, 121432, 107407, 113334, 77181, 124897, 105879, 3922, 51330, 104983, 109713, 68408, 16073, 60868, 16144, 37729, 33857, 82420, 15682, 90962, 68759, 102663, 16556, 3922, 76171, 99959, 29220, 47307, 107446, 39850, 120770, 103306, 111017, 31431, 102769, 76947, 33655, 30297, 125231, 36785, 106046, 61689, 9174, 9458, 66953, 41758, 95532, 108270, 42634, 104873, 64531, 119627, 3922, 104405, 95604, 113334, 36785, 32149, 101721, 39084, 30512, 102769, 114598, 47585, 107001, 103854, 112495, 110115, 3922, 47585, 84389, 101860, 105352, 67645, 76947, 103801, 61689, 9174, 127637, 3922, 109713, 68408, 16073, 60868, 30512, 47000, 107674, 110674, 108270, 42634, 104873, 64531, 30512, 125144, 76947, 23039, 76947, 112886, 50834, 47884, 101860, 103468, 90962, 52591, 109753, 29295, 61304, 108565, 116216, 103801, 16995, 3922, 114941, 72342, 123733, 76947, 37823, 109753, 119707, 107674, 16144, 119627, 3922, 104405, 32977, 108270, 42634, 104873, 64531, 15682, 17, 18904, 89046, 106307, 16556, 23039, 78183, 100604, 19732, 3922, 61304, 108565, 84389, 100604, 108005, 121, 16995, 38641, 1811, 66953, 41758, 112130, 101832, 9174, 9458, 102971, 105242, 95532, 19732, 31431, 30591, 58942, 101860, 3922, 37729, 33857, 82420, 15682, 30591, 109709, 122975, 103082, 107515, 1811, 31809, 37729, 33857, 25446, 16144, 108867, 23187, 102052, 105578, 123457, 102404, 127327, 21105, 251, 30297, 119627, 3922, 86127, 119775, 45736, 41642, 103682, 20230, 43568, 102057, 223, 26854, 17792, 102052, 3922, 30591, 109709, 109215, 34171, 119703, 102083, 105262, 123253, 1811, 1041, 15, 79, 37, 110162, 3922, 16, 4, 102097, 27479, 16556, 104862, 16995, 104526, 104004, 17792, 105321, 32149, 102052, 85777, 106956, 32149, 32977, 53283, 33121, 107515, 29295, 3922, 107943, 18904, 47095, 16144, 113404, 114016, 3922, 37656, 102800, 113404, 105321, 112130, 101832, 9174, 76171, 99959, 29220, 47307, 107446, 16144, 108867, 23187, 15682, 19732, 111243, 102924, 60632, 20230, 33655, 58942, 102131, 38641, 1811, 22398, 25197, 108981, 94550, 101721, 39084, 30512, 37026, 19967, 54926, 105908, 103927, 91482, 125913, 105352, 32018, 62004, 110071, 113146, 115717, 79721, 29295, 3922, 110924, 16556, 76706, 109526, 235, 54926, 112973, 76171, 99959, 29220, 47307, 107446, 39850, 120770, 123253, 1811, 106901, 116099, 25446, 16144, 89753, 11883, 3922, 103350, 108867, 112603, 16144, 108867, 23187, 3922, 46034, 112959, 50834, 16556, 19967, 30369, 104309, 104309, 3922, 57933, 105335, 16556, 31640, 11883, 118765, 103378, 20230, 3922, 111828, 30358, 26854, 108867, 23187, 32648, 36785, 102083, 58942, 102131, 38641, 9174, 9458, 33334, 125683, 62004, 108608, 95532, 111108, 102800, 125651, 3922, 76171, 99959, 29220, 47307, 107446, 30512, 108867, 23187, 56051, 16995, 116537, 3922, 16551, 15, 35757, 16144, 95001, 112603, 115991, 33541, 1811, 109713, 68408, 16073, 60868, 16144, 37729, 33857, 108867, 23187, 30512, 39850, 76171, 117657, 105110, 3922, 107691, 78183, 100604, 24273, 29295, 104712, 123253, 1811, 108031, 16551, 15, 35757, 116155, 39926, 3922, 57980, 16995, 57933, 105335, 30512, 107691, 16995, 17129, 109954, 9174, 1041, 15, 79, 37, 120264, 30512, 16, 4, 16556, 108867, 23187, 56051, 16995, 110993, 79982, 26854, 68759, 114676, 15682, 3922, 17663, 16556, 20230, 114387, 16144, 69978, 107462, 104533, 91763, 61689, 105879, 3922, 37271, 55031, 107691, 33334, 30297, 32149, 104405, 32149, 113727, 100934, 116537, 3922, 120065, 78698, 107800, 24273, 29295, 57980, 16995, 104466, 91763, 61689, 9174, 104662, 39926, 33655, 114774, 17663, 16995, 113334, 111769, 15024, 3922, 18904, 47095, 111629, 126758, 3922, 103350, 11883, 101513, 32648, 126694, 30369, 103378, 16144, 62903, 67075, 16556, 3922, 80673, 81742, 48915, 103350, 11883, 27479, 29295, 103167, 16995, 19732, 47884, 104984, 3922, 108618, 104611, 119627, 108882, 110993, 9554, 102052, 33334, 125683, 62004, 106084, 100604, 26854, 102677, 112973, 3922, 127880, 102971, 105242, 38641, 9174, 102677, 118733, 3922, 108031, 19967, 33503, 103470, 111243, 104712, 107188, 30591, 106046, 106358, 37729, 33857, 82420, 119627, 3922, 71289, 112043, 31431, 19967, 103950, 106046, 61689, 1811, 128001, 128000, 90115, 1811, 109709, 108056, 38641, 9174, 110589, 32977, 64121, 26854, 98369, 33334, 117876, 33334, 127814, 33121, 103826, 38641, 9174, 40452, 107430, 30512, 109768, 104533, 198, 17905, 65743, 55031, 32977, 34048, 17297, 55031, 32977, 198, 110176, 24273, 16144, 28190, 55031, 31374, 248, 101576, 112, 30512, 104655, 102334, 31431, 54926, 105879, 198, 76622, 42891, 108895, 113116, 112535, 15024, 124592, 16995, 116233, 57980, 9174, 125743, 46729, 102052, 115389, 26854, 95221, 69978, 86614, 110794, 112454, 121140, 198, 58666, 103868, 102800, 48154, 15682, 127842, 198, 2243, 121, 32149, 2243, 121, 32149, 33334, 104346, 17857, 224, 19732, 198, 105104, 32149, 105104, 32149, 33334, 52927, 108638, 16556, 198, 64209, 96356, 55999, 20230, 23706, 240, 103801, 109954, 101832, 9174, 19732, 78244, 102334, 16995, 19732, 22957, 119627, 198, 110589, 32977, 127032, 20230, 198, 13177, 109249, 104482, 71289, 100472, 16144, 127998, 11972, 32351, 111329, 55031, 27704, 109709, 198, 13177, 112185, 125338, 100604, 16144, 127998, 11972, 76864, 198, 16556, 110589, 112028, 9080, 29295, 105721, 78183, 103950, 103306, 61689, 9174, 117876, 16144, 87177, 30512, 110794, 112454, 121140, 19732, 120267, 79721, 29295, 198, 52030, 106528, 104599, 19732, 75910, 106528, 101559, 16144, 116690, 109853, 83747, 21105, 232, 87177, 78434, 9174, 117876, 16144, 17620, 102212, 112535, 116690, 100604, 78183, 32351, 198, 119150, 24273, 32977, 102717, 116421, 107430, 104091, 30512, 53283, 30369, 118733, 198, 50834, 104043, 103846, 101983, 104533, 91763, 30297, 105879, 25038, 245, 102532, 64121, 38144, 72315, 9174, 9458, 52030, 106528, 104599, 98369, 104856, 107188, 32149, 17905, 46034, 47884, 118544, 100604, 75910, 106528, 101559, 98369, 198, 9458, 75910, 106528, 101559, 98369, 104856, 107188, 32149, 17905, 46034, 47884, 118544, 100604, 52030, 106528, 104599, 98369, 198, 9458, 92877, 17792, 102923, 102332, 71289, 120824, 99397, 52030, 106528, 50667, 16556, 122502, 119188, 17792, 198, 9458, 61337, 32943, 20230, 16995, 85791, 103171, 107430, 104091, 16144, 114754, 107991, 117501, 16556, 122502, 119188, 17792, 198, 30832, 33671, 198, 101083, 107809, 77181, 198, 52030, 106528, 104599, 19732, 75910, 106528, 101559, 15682, 113850, 29295, 109161, 16995, 198, 19732, 112844, 87177, 15024, 9174, 103424, 47884, 104655, 47884, 106046, 61689, 9174, 103350, 104983, 15682, 104405, 26854, 104865, 95532, 103899, 58942, 15682, 198, 76622, 42891, 108895, 113850, 103424, 15024, 38641, 9174, 77181, 26854, 112371, 113850, 29295, 109161, 16995, 19732, 117952, 115032, 104865, 95532, 122582, 71289, 15682, 31431, 107430, 104091, 29295, 108010, 30297, 55031, 105321, 38641, 9174, 16995, 85791, 103171, 107430, 104091, 120332, 19732, 17905, 46034, 47884, 113850, 103424, 47884, 35757, 113764, 20230, 122502, 47884, 102677, 30926, 15682, 198, 33334, 106483, 117714, 117876, 30512, 114330, 16995, 99750, 118835, 54926, 100909, 116749, 20230, 41007, 120937, 106046, 76947, 61689, 9174, 37271, 103296, 86127, 29295, 52030, 106528, 104599, 103306, 122502, 102532, 105898, 117501, 15682, 198, 110022, 40862, 122412, 121142, 56051, 9174, 126609, 112772, 85707, 107436, 110022, 40862, 122412, 55031, 198, 120824, 99397, 52030, 106528, 19732, 92877, 17792, 103927, 103202, 114731, 102781, 20230, 104721, 116547, 79721, 9174, 110022, 40862, 122412, 32943, 15682, 198, 43511, 107430, 104091, 15682, 43240, 104680, 122502, 102532, 61689, 29295, 198, 52030, 106528, 103129, 112909, 21418, 76622, 81219, 198, 102717, 109416, 103242, 109519, 107430, 16556, 56051, 15024, 52030, 106528, 104599, 29295, 122412, 126636, 103268, 30512, 108928, 62004, 100481, 79721, 9174, 38641, 105879, 5486, 102717, 109416, 42016, 107430, 104091, 110792, 117876, 115717, 33541, 9174, 107943, 117501, 55031, 198, 92877, 17792, 102923, 102332, 32943, 15682, 198, 103242, 109519, 107430, 15682, 103242, 104599, 9458, 52030, 106528, 104599, 9458, 22649, 48864, 109519, 25333, 101559, 198, 116771, 16144, 83747, 17792, 9039, 16556, 198, 30591, 107118, 102717, 109416, 75910, 106528, 101559, 38641, 9174, 41642, 31431, 104088, 110968, 72342, 81219, 75910, 106528, 101559, 67016, 16995, 107515, 9174, 75910, 106528, 101559, 107809, 20230, 9039, 17792, 103242, 109519, 107430, 29295, 107960, 100204, 103836, 102677, 25197, 126989, 38641, 9174, 51330, 117501, 16144, 121953, 15682, 198, 127880, 95001, 112603, 114181, 126130, 32977, 16995, 121381, 31431, 117633, 84389, 79721, 9174, 16995, 17129, 103296, 16144, 122502, 50834, 24273, 71289, 113727, 24273, 77181, 198, 37087, 47884, 22398, 91062, 106240, 20230, 16995, 50834, 105823, 104127, 56051, 9174, 52030, 106528, 104599, 16144, 95001, 112603, 114181, 16556, 198, 40265, 115926, 25580, 36785, 106046, 106358, 30926, 15682, 198, 75910, 106528, 101559, 125030, 76947, 15682, 198, 30591, 115926, 17129, 58942, 111769, 9174, 102131, 112844, 75267, 28190, 20230, 16995, 47884, 59739, 32977, 16995, 47884, 59739, 32977, 198, 114876, 110053, 78434, 9174, 85701, 15682, 75910, 106528, 71289, 103242, 109519, 16144, 101275, 98220, 103378, 126194, 198, 127177, 107430, 104091, 105352, 78244, 105262, 100909, 36785, 106046, 61689, 9174, 27384, 102639, 30813, 20230, 78183, 107277, 126172, 47884, 112844, 19732, 198, 119642, 102078, 127303, 115926, 17129, 58942, 16144, 30926, 29295, 198, 103242, 30046, 77181, 30591, 115926, 17129, 58942, 111769, 104466, 9174, 108436, 107430, 39926, 55031, 85707, 107436, 64780, 75293, 101513, 126198, 9080, 104468, 110214, 38641, 9174, 116531, 126835, 34617, 125344, 75910, 106528, 101559, 117758, 47260, 64178, 9174, 118133, 104004, 59739, 39209, 109033, 30512, 15024, 120650, 100472, 33503, 5486, 103001, 242, 118328, 109768, 79721, 1811, 105791, 39135, 29295, 109161, 16995, 38641, 1811, 111329, 19732, 89046, 117139, 115991, 79721, 9174, 85701, 103378, 16144, 108134, 118816, 117384, 16556, 104655, 102334, 122571, 198, 13177, 26854, 104127, 118328, 102334, 102189, 103950, 11571, 91939, 225, 101921, 116, 16144, 104873, 45829, 29295, 109161, 16995, 104865, 11571, 102924, 29295, 101544, 16995, 118733, 100481, 104435, 107188, 11571, 118705, 114053, 15682, 99849, 30512, 125764, 28713, 102189, 103950, 111329, 104309, 19732, 118328, 102334, 30926, 113115, 15024, 113385, 30512, 113727, 15682, 100204, 62004, 33541, 9174, 21990, 102625, 30512, 37689, 109375, 109768, 107515, 9174, 19732, 31431, 30591, 58942, 101860, 198, 64780, 125144, 115833, 98, 21105, 103, 16995, 104466, 110366, 26274, 98, 25129, 121254, 107441, 198, 64780, 119732, 122258, 108867, 23187, 30512, 39926, 55031, 40526, 16144, 41642, 116310, 71289, 16325, 30512, 50834, 33121, 16995, 116446, 122765, 38144, 72315, 9174, 19732, 75910, 106528, 101559, 20230, 108044, 58942, 102321, 75267, 121254, 121867, 79721, 9174, 102321, 75267, 20230, 28037, 100815, 112990, 198, 75910, 106528, 101559, 29295, 25963, 13372, 16556, 118328, 53953, 16144, 117120, 22649, 71289, 108602, 72238, 72406, 121, 34208, 27479, 30512, 108867, 23187, 39926, 120700, 100481, 79721, 9174, 17701, 104157, 112919, 115499, 64121, 38144, 114225, 20230, 108901, 104721, 20230, 116499, 59739, 50834, 33541, 9174, 125457, 11571, 11571, 105324, 107246, 39926, 100604, 71289, 25827, 32351, 111329, 58426, 15120, 78244, 55031, 102321, 75267, 15682, 12870, 235, 31431, 114308, 33541, 9174, 75910, 106528, 101559, 15682, 80805, 122842, 106609, 86127, 32977, 103911, 101067, 107113, 127749, 19732, 121953, 107188, 31431, 80805, 122842, 115717, 79721, 9174, 19732, 31431, 30591, 58942, 101860, 120329, 21990, 21105, 103, 16995, 102083, 76622, 107515, 115397, 17620, 15120, 47018, 30512, 106106, 61689, 9174, 102083, 114598, 103242, 109519, 30046, 15682, 105994, 122485, 38641, 9174, 103309, 56965, 16144, 106084, 30926, 38641, 105879, 5486, 123570, 113028, 32977, 37026, 110362, 55031, 102321, 75267, 20230, 28037, 100815, 54926, 17129, 77181, 78250, 17620, 71689, 15682, 32149, 107277, 33541, 9174, 110382, 102052, 75910, 106528, 101559, 34617, 13372, 19732, 115364, 82420, 46702, 13372, 103378, 9174, 51330, 117501, 16556, 64780, 117812, 1569, 108, 118962, 30512, 103350, 102923, 21105, 103, 118145, 118145, 16995, 76622, 107515, 9174, 112185, 112185, 21105, 103, 118145, 16995, 124324, 104398, 121867, 109335, 121771, 98369, 57903, 33541, 29295, 111476, 27384, 17129, 107188, 111831, 38641, 9174, 85701, 30512, 9023, 29295, 109749, 103296, 17905, 61304, 107430, 104091, 46702, 13372, 16556, 103350, 102923, 78434, 9174, 16937, 88367, 26854, 116499, 39926, 50834, 33541, 101832, 9174, 72661, 109134, 67016, 100604, 116233, 9174, 110382, 77181, 52030, 106528, 104599, 29295, 65743, 103507, 106499, 115717, 33541, 198, 118075, 21909, 49412, 103, 16144, 99849, 87217, 30512, 112832, 20230, 103963, 117943, 54926, 116421, 64467, 20379, 29295, 107188, 31431, 107693, 115717, 33541, 9174, 10110, 103242, 109519, 107430, 67016, 118765, 106592, 21418, 102532, 23954, 51330, 30926, 27452 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 114715, 102987, 98499, 64121, 39926, 3922, 15, 13, 1721, 84, 37, 103296, 105110, 16, 71082, 15, 13, 16, 84, 37, 17129, 77181, 18, 4, 19732, 122225, 120837, 57980, 117714, 119627, 3922, 105110, 15, 13, 2839, 84, 37, 105110, 104405, 26854, 104865, 3922, 15, 13, 24996, 84, 37, 105110, 104405, 26854, 104865, 3922, 18, 4, 113314, 102677, 104468, 104405, 95604, 100909, 26854, 104865, 119101, 30297, 107707, 101067, 66201, 48634, 20230, 49988, 116216, 103801, 61689, 1811, 108867, 23187, 32648, 30512, 13372, 110498, 30369, 105110, 3922, 85701, 15682, 99959, 39850, 38641, 9174, 77693, 19732, 3922, 15, 13, 2618, 84, 37, 16144, 109713, 68408, 16073, 60868, 30512, 108867, 23187, 39926, 64121, 28713, 16144, 119627, 3922, 15, 13, 1627, 84, 37, 19732, 103268, 17620, 108680, 16144, 112603, 30512, 20379, 121256, 1811, 122984, 102181, 102052, 125144, 104364, 29295, 119448, 47884, 38144, 33655, 119841, 19732, 101182, 105879, 17161, 106808, 15682, 78244, 58942, 107515, 29295, 3922, 39442, 53283, 16144, 112603, 30512, 108867, 23187, 54926, 110115, 3922, 98406, 60358, 47884, 108901, 109020, 112603, 30512, 50211, 95221, 26854, 115499, 39926, 52563, 54926, 102677, 104468, 3922, 120065, 16937, 106759, 102769, 107188, 102677, 112391, 32977, 78434, 1811, 114774, 3922, 85701, 15682, 33655, 30297, 114754, 95221, 116825, 118145, 57980, 16995, 102677, 100909, 116446, 33334, 50834, 17129, 109954, 9174, 126738, 3922, 76171, 99959, 29220, 47307, 15682, 26854, 107188, 32149, 103424, 30813, 102131, 38641, 1811, 108867, 23187, 119318, 116310, 15682, 15, 13, 16, 84, 39, 55031, 605, 76, 39, 38641, 105879, 3922, 110219, 20230, 33655, 30297, 102944, 15682, 114392, 108867, 23187, 88367, 38641, 15024, 3922, 109713, 68408, 16073, 60868, 119775, 57933, 105335, 20230, 108867, 23187, 121432, 107407, 113334, 77181, 124897, 105879, 3922, 51330, 104983, 109713, 68408, 16073, 60868, 16144, 37729, 33857, 82420, 15682, 90962, 68759, 102663, 16556, 3922, 76171, 99959, 29220, 47307, 107446, 39850, 120770, 103306, 111017, 31431, 102769, 76947, 33655, 30297, 125231, 36785, 106046, 61689, 9174, 9458, 66953, 41758, 95532, 108270, 42634, 104873, 64531, 119627, 3922, 104405, 95604, 113334, 36785, 32149, 101721, 39084, 30512, 102769, 114598, 47585, 107001, 103854, 112495, 110115, 3922, 47585, 84389, 101860, 105352, 67645, 76947, 103801, 61689, 9174, 127637, 3922, 109713, 68408, 16073, 60868, 30512, 47000, 107674, 110674, 108270, 42634, 104873, 64531, 30512, 125144, 76947, 23039, 76947, 112886, 50834, 47884, 101860, 103468, 90962, 52591, 109753, 29295, 61304, 108565, 116216, 103801, 16995, 3922, 114941, 72342, 123733, 76947, 37823, 109753, 119707, 107674, 16144, 119627, 3922, 104405, 32977, 108270, 42634, 104873, 64531, 15682, 17, 18904, 89046, 106307, 16556, 23039, 78183, 100604, 19732, 3922, 61304, 108565, 84389, 100604, 108005, 121, 16995, 38641, 1811, 66953, 41758, 112130, 101832, 9174, 9458, 102971, 105242, 95532, 19732, 31431, 30591, 58942, 101860, 3922, 37729, 33857, 82420, 15682, 30591, 109709, 122975, 103082, 107515, 1811, 31809, 37729, 33857, 25446, 16144, 108867, 23187, 102052, 105578, 123457, 102404, 127327, 21105, 251, 30297, 119627, 3922, 86127, 119775, 45736, 41642, 103682, 20230, 43568, 102057, 223, 26854, 17792, 102052, 3922, 30591, 109709, 109215, 34171, 119703, 102083, 105262, 123253, 1811, 1041, 15, 79, 37, 110162, 3922, 16, 4, 102097, 27479, 16556, 104862, 16995, 104526, 104004, 17792, 105321, 32149, 102052, 85777, 106956, 32149, 32977, 53283, 33121, 107515, 29295, 3922, 107943, 18904, 47095, 16144, 113404, 114016, 3922, 37656, 102800, 113404, 105321, 112130, 101832, 9174, 76171, 99959, 29220, 47307, 107446, 16144, 108867, 23187, 15682, 19732, 111243, 102924, 60632, 20230, 33655, 58942, 102131, 38641, 1811, 22398, 25197, 108981, 94550, 101721, 39084, 30512, 37026, 19967, 54926, 105908, 103927, 91482, 125913, 105352, 32018, 62004, 110071, 113146, 115717, 79721, 29295, 3922, 110924, 16556, 76706, 109526, 235, 54926, 112973, 76171, 99959, 29220, 47307, 107446, 39850, 120770, 123253, 1811, 106901, 116099, 25446, 16144, 89753, 11883, 3922, 103350, 108867, 112603, 16144, 108867, 23187, 3922, 46034, 112959, 50834, 16556, 19967, 30369, 104309, 104309, 3922, 57933, 105335, 16556, 31640, 11883, 118765, 103378, 20230, 3922, 111828, 30358, 26854, 108867, 23187, 32648, 36785, 102083, 58942, 102131, 38641, 9174, 9458, 33334, 125683, 62004, 108608, 95532, 111108, 102800, 125651, 3922, 76171, 99959, 29220, 47307, 107446, 30512, 108867, 23187, 56051, 16995, 116537, 3922, 16551, 15, 35757, 16144, 95001, 112603, 115991, 33541, 1811, 109713, 68408, 16073, 60868, 16144, 37729, 33857, 108867, 23187, 30512, 39850, 76171, 117657, 105110, 3922, 107691, 78183, 100604, 24273, 29295, 104712, 123253, 1811, 108031, 16551, 15, 35757, 116155, 39926, 3922, 57980, 16995, 57933, 105335, 30512, 107691, 16995, 17129, 109954, 9174, 1041, 15, 79, 37, 120264, 30512, 16, 4, 16556, 108867, 23187, 56051, 16995, 110993, 79982, 26854, 68759, 114676, 15682, 3922, 17663, 16556, 20230, 114387, 16144, 69978, 107462, 104533, 91763, 61689, 105879, 3922, 37271, 55031, 107691, 33334, 30297, 32149, 104405, 32149, 113727, 100934, 116537, 3922, 120065, 78698, 107800, 24273, 29295, 57980, 16995, 104466, 91763, 61689, 9174, 104662, 39926, 33655, 114774, 17663, 16995, 113334, 111769, 15024, 3922, 18904, 47095, 111629, 126758, 3922, 103350, 11883, 101513, 32648, 126694, 30369, 103378, 16144, 62903, 67075, 16556, 3922, 80673, 81742, 48915, 103350, 11883, 27479, 29295, 103167, 16995, 19732, 47884, 104984, 3922, 108618, 104611, 119627, 108882, 110993, 9554, 102052, 33334, 125683, 62004, 106084, 100604, 26854, 102677, 112973, 3922, 127880, 102971, 105242, 38641, 9174, 102677, 118733, 3922, 108031, 19967, 33503, 103470, 111243, 104712, 107188, 30591, 106046, 106358, 37729, 33857, 82420, 119627, 3922, 71289, 112043, 31431, 19967, 103950, 106046, 61689, 1811, 128001, 128000, 90115, 1811, 109709, 108056, 38641, 9174, 110589, 32977, 64121, 26854, 98369, 33334, 117876, 33334, 127814, 33121, 103826, 38641, 9174, 40452, 107430, 30512, 109768, 104533, 198, 17905, 65743, 55031, 32977, 34048, 17297, 55031, 32977, 198, 110176, 24273, 16144, 28190, 55031, 31374, 248, 101576, 112, 30512, 104655, 102334, 31431, 54926, 105879, 198, 76622, 42891, 108895, 113116, 112535, 15024, 124592, 16995, 116233, 57980, 9174, 125743, 46729, 102052, 115389, 26854, 95221, 69978, 86614, 110794, 112454, 121140, 198, 58666, 103868, 102800, 48154, 15682, 127842, 198, 2243, 121, 32149, 2243, 121, 32149, 33334, 104346, 17857, 224, 19732, 198, 105104, 32149, 105104, 32149, 33334, 52927, 108638, 16556, 198, 64209, 96356, 55999, 20230, 23706, 240, 103801, 109954, 101832, 9174, 19732, 78244, 102334, 16995, 19732, 22957, 119627, 198, 110589, 32977, 127032, 20230, 198, 13177, 109249, 104482, 71289, 100472, 16144, 127998, 11972, 32351, 111329, 55031, 27704, 109709, 198, 13177, 112185, 125338, 100604, 16144, 127998, 11972, 76864, 198, 16556, 110589, 112028, 9080, 29295, 105721, 78183, 103950, 103306, 61689, 9174, 117876, 16144, 87177, 30512, 110794, 112454, 121140, 19732, 120267, 79721, 29295, 198, 52030, 106528, 104599, 19732, 75910, 106528, 101559, 16144, 116690, 109853, 83747, 21105, 232, 87177, 78434, 9174, 117876, 16144, 17620, 102212, 112535, 116690, 100604, 78183, 32351, 198, 119150, 24273, 32977, 102717, 116421, 107430, 104091, 30512, 53283, 30369, 118733, 198, 50834, 104043, 103846, 101983, 104533, 91763, 30297, 105879, 25038, 245, 102532, 64121, 38144, 72315, 9174, 9458, 52030, 106528, 104599, 98369, 104856, 107188, 32149, 17905, 46034, 47884, 118544, 100604, 75910, 106528, 101559, 98369, 198, 9458, 75910, 106528, 101559, 98369, 104856, 107188, 32149, 17905, 46034, 47884, 118544, 100604, 52030, 106528, 104599, 98369, 198, 9458, 92877, 17792, 102923, 102332, 71289, 120824, 99397, 52030, 106528, 50667, 16556, 122502, 119188, 17792, 198, 9458, 61337, 32943, 20230, 16995, 85791, 103171, 107430, 104091, 16144, 114754, 107991, 117501, 16556, 122502, 119188, 17792, 198, 30832, 33671, 198, 101083, 107809, 77181, 198, 52030, 106528, 104599, 19732, 75910, 106528, 101559, 15682, 113850, 29295, 109161, 16995, 198, 19732, 112844, 87177, 15024, 9174, 103424, 47884, 104655, 47884, 106046, 61689, 9174, 103350, 104983, 15682, 104405, 26854, 104865, 95532, 103899, 58942, 15682, 198, 76622, 42891, 108895, 113850, 103424, 15024, 38641, 9174, 77181, 26854, 112371, 113850, 29295, 109161, 16995, 19732, 117952, 115032, 104865, 95532, 122582, 71289, 15682, 31431, 107430, 104091, 29295, 108010, 30297, 55031, 105321, 38641, 9174, 16995, 85791, 103171, 107430, 104091, 120332, 19732, 17905, 46034, 47884, 113850, 103424, 47884, 35757, 113764, 20230, 122502, 47884, 102677, 30926, 15682, 198, 33334, 106483, 117714, 117876, 30512, 114330, 16995, 99750, 118835, 54926, 100909, 116749, 20230, 41007, 120937, 106046, 76947, 61689, 9174, 37271, 103296, 86127, 29295, 52030, 106528, 104599, 103306, 122502, 102532, 105898, 117501, 15682, 198, 110022, 40862, 122412, 121142, 56051, 9174, 126609, 112772, 85707, 107436, 110022, 40862, 122412, 55031, 198, 120824, 99397, 52030, 106528, 19732, 92877, 17792, 103927, 103202, 114731, 102781, 20230, 104721, 116547, 79721, 9174, 110022, 40862, 122412, 32943, 15682, 198, 43511, 107430, 104091, 15682, 43240, 104680, 122502, 102532, 61689, 29295, 198, 52030, 106528, 103129, 112909, 21418, 76622, 81219, 198, 102717, 109416, 103242, 109519, 107430, 16556, 56051, 15024, 52030, 106528, 104599, 29295, 122412, 126636, 103268, 30512, 108928, 62004, 100481, 79721, 9174, 38641, 105879, 5486, 102717, 109416, 42016, 107430, 104091, 110792, 117876, 115717, 33541, 9174, 107943, 117501, 55031, 198, 92877, 17792, 102923, 102332, 32943, 15682, 198, 103242, 109519, 107430, 15682, 103242, 104599, 9458, 52030, 106528, 104599, 9458, 22649, 48864, 109519, 25333, 101559, 198, 116771, 16144, 83747, 17792, 9039, 16556, 198, 30591, 107118, 102717, 109416, 75910, 106528, 101559, 38641, 9174, 41642, 31431, 104088, 110968, 72342, 81219, 75910, 106528, 101559, 67016, 16995, 107515, 9174, 75910, 106528, 101559, 107809, 20230, 9039, 17792, 103242, 109519, 107430, 29295, 107960, 100204, 103836, 102677, 25197, 126989, 38641, 9174, 51330, 117501, 16144, 121953, 15682, 198, 127880, 95001, 112603, 114181, 126130, 32977, 16995, 121381, 31431, 117633, 84389, 79721, 9174, 16995, 17129, 103296, 16144, 122502, 50834, 24273, 71289, 113727, 24273, 77181, 198, 37087, 47884, 22398, 91062, 106240, 20230, 16995, 50834, 105823, 104127, 56051, 9174, 52030, 106528, 104599, 16144, 95001, 112603, 114181, 16556, 198, 40265, 115926, 25580, 36785, 106046, 106358, 30926, 15682, 198, 75910, 106528, 101559, 125030, 76947, 15682, 198, 30591, 115926, 17129, 58942, 111769, 9174, 102131, 112844, 75267, 28190, 20230, 16995, 47884, 59739, 32977, 16995, 47884, 59739, 32977, 198, 114876, 110053, 78434, 9174, 85701, 15682, 75910, 106528, 71289, 103242, 109519, 16144, 101275, 98220, 103378, 126194, 198, 127177, 107430, 104091, 105352, 78244, 105262, 100909, 36785, 106046, 61689, 9174, 27384, 102639, 30813, 20230, 78183, 107277, 126172, 47884, 112844, 19732, 198, 119642, 102078, 127303, 115926, 17129, 58942, 16144, 30926, 29295, 198, 103242, 30046, 77181, 30591, 115926, 17129, 58942, 111769, 104466, 9174, 108436, 107430, 39926, 55031, 85707, 107436, 64780, 75293, 101513, 126198, 9080, 104468, 110214, 38641, 9174, 116531, 126835, 34617, 125344, 75910, 106528, 101559, 117758, 47260, 64178, 9174, 118133, 104004, 59739, 39209, 109033, 30512, 15024, 120650, 100472, 33503, 5486, 103001, 242, 118328, 109768, 79721, 1811, 105791, 39135, 29295, 109161, 16995, 38641, 1811, 111329, 19732, 89046, 117139, 115991, 79721, 9174, 85701, 103378, 16144, 108134, 118816, 117384, 16556, 104655, 102334, 122571, 198, 13177, 26854, 104127, 118328, 102334, 102189, 103950, 11571, 91939, 225, 101921, 116, 16144, 104873, 45829, 29295, 109161, 16995, 104865, 11571, 102924, 29295, 101544, 16995, 118733, 100481, 104435, 107188, 11571, 118705, 114053, 15682, 99849, 30512, 125764, 28713, 102189, 103950, 111329, 104309, 19732, 118328, 102334, 30926, 113115, 15024, 113385, 30512, 113727, 15682, 100204, 62004, 33541, 9174, 21990, 102625, 30512, 37689, 109375, 109768, 107515, 9174, 19732, 31431, 30591, 58942, 101860, 198, 64780, 125144, 115833, 98, 21105, 103, 16995, 104466, 110366, 26274, 98, 25129, 121254, 107441, 198, 64780, 119732, 122258, 108867, 23187, 30512, 39926, 55031, 40526, 16144, 41642, 116310, 71289, 16325, 30512, 50834, 33121, 16995, 116446, 122765, 38144, 72315, 9174, 19732, 75910, 106528, 101559, 20230, 108044, 58942, 102321, 75267, 121254, 121867, 79721, 9174, 102321, 75267, 20230, 28037, 100815, 112990, 198, 75910, 106528, 101559, 29295, 25963, 13372, 16556, 118328, 53953, 16144, 117120, 22649, 71289, 108602, 72238, 72406, 121, 34208, 27479, 30512, 108867, 23187, 39926, 120700, 100481, 79721, 9174, 17701, 104157, 112919, 115499, 64121, 38144, 114225, 20230, 108901, 104721, 20230, 116499, 59739, 50834, 33541, 9174, 125457, 11571, 11571, 105324, 107246, 39926, 100604, 71289, 25827, 32351, 111329, 58426, 15120, 78244, 55031, 102321, 75267, 15682, 12870, 235, 31431, 114308, 33541, 9174, 75910, 106528, 101559, 15682, 80805, 122842, 106609, 86127, 32977, 103911, 101067, 107113, 127749, 19732, 121953, 107188, 31431, 80805, 122842, 115717, 79721, 9174, 19732, 31431, 30591, 58942, 101860, 120329, 21990, 21105, 103, 16995, 102083, 76622, 107515, 115397, 17620, 15120, 47018, 30512, 106106, 61689, 9174, 102083, 114598, 103242, 109519, 30046, 15682, 105994, 122485, 38641, 9174, 103309, 56965, 16144, 106084, 30926, 38641, 105879, 5486, 123570, 113028, 32977, 37026, 110362, 55031, 102321, 75267, 20230, 28037, 100815, 54926, 17129, 77181, 78250, 17620, 71689, 15682, 32149, 107277, 33541, 9174, 110382, 102052, 75910, 106528, 101559, 34617, 13372, 19732, 115364, 82420, 46702, 13372, 103378, 9174, 51330, 117501, 16556, 64780, 117812, 1569, 108, 118962, 30512, 103350, 102923, 21105, 103, 118145, 118145, 16995, 76622, 107515, 9174, 112185, 112185, 21105, 103, 118145, 16995, 124324, 104398, 121867, 109335, 121771, 98369, 57903, 33541, 29295, 111476, 27384, 17129, 107188, 111831, 38641, 9174, 85701, 30512, 9023, 29295, 109749, 103296, 17905, 61304, 107430, 104091, 46702, 13372, 16556, 103350, 102923, 78434, 9174, 16937, 88367, 26854, 116499, 39926, 50834, 33541, 101832, 9174, 72661, 109134, 67016, 100604, 116233, 9174, 110382, 77181, 52030, 106528, 104599, 29295, 65743, 103507, 106499, 115717, 33541, 198, 118075, 21909, 49412, 103, 16144, 99849, 87217, 30512, 112832, 20230, 103963, 117943, 54926, 116421, 64467, 20379, 29295, 107188, 31431, 107693, 115717, 33541, 9174, 10110, 103242, 109519, 107430, 67016, 118765, 106592, 21418, 102532, 23954, 51330, 30926, 27452 ]
[ 15682, 111476, 105994, 29295, 75910, 106528, 55031, 109215, 26854, 108134, 30512, 50834, 43514, 127842, 104655, 50834, 36785, 30813, 26854, 42891, 32149, 28713, 113009, 198, 125119, 100472, 30926, 27452, 116787, 198, 27384, 112495, 95543, 66870, 28542, 121711, 79721, 9174, 51330, 77219, 30512, 98499, 104127, 16995, 90620, 119188, 75910, 106528, 101559, 120332, 104680, 107809, 102052, 198, 13177, 15682, 11571, 26854, 107436, 25827, 16144, 11571, 105324, 107246, 39926, 100604, 32149, 5486, 103792, 32149, 120264, 78183, 117295, 78183, 32351, 10646, 19732, 198, 91763, 126832, 24273, 32977, 16995, 104533, 91763, 61689, 9174, 125743, 64121, 103171, 29295, 102131, 111769, 116233, 9174, 85701, 29295, 103350, 104983, 16144, 102321, 75267, 16144, 103350, 40474, 105321, 38641, 9174, 58426, 75267, 20230, 16995, 100604, 17792, 20230, 198, 16995, 111201, 37656, 105184, 20230, 108134, 30512, 108044, 105262, 105908, 108608, 32149, 198, 77693, 29295, 108134, 30512, 43511, 30046, 20230, 108044, 105262, 41007, 16556, 15120, 87217, 27384, 102769, 26854, 30926, 105321, 38641, 9174, 85701, 15682, 52030, 106528, 104599, 19732, 75910, 106528, 101559, 16144, 56965, 103378, 16144, 30926, 126194, 198, 37087, 38144, 16144, 107430, 104091, 16556, 78244, 105262, 100909, 72661, 57903, 33541, 9174, 53900, 5486, 103242, 109519, 71289, 103005, 55228, 231, 114556, 108826, 103470, 108936, 124911, 20230, 78183, 117295, 108044, 58942, 24273, 198, 102677, 104468, 19732, 111243, 27384, 30926, 26854, 100909, 36785, 106046, 61689, 9174, 17905, 77219, 27452, 16556, 104774, 125913, 47260, 64178, 16556, 104655, 107188, 118145, 16995, 76622, 104435, 108134, 198, 17905, 61304, 30512, 64780, 118649, 95399, 107624, 95001, 19732, 78244, 61689, 1811, 32648, 77913, 29295, 103470, 111243, 112832, 72661, 108608, 107624, 95001, 38641, 9174, 75910, 106528, 101559, 117758, 104774, 125913, 47260, 64178, 122291, 126513, 198, 122617, 17905, 61304, 16144, 118075, 21909, 126892, 16144, 30926, 30512, 30512, 114140, 54926, 100909, 9174, 77693, 121142, 198, 37271, 114225, 127091, 21105, 103, 118145, 16995, 124324, 32149, 104405, 116421, 19361, 43568, 29295, 122225, 125545, 84499, 107624, 95001, 16144, 104091, 104770, 198, 118649, 95399, 107624, 95001, 10110, 99750, 112854, 30512, 11883, 102532, 80805, 67075, 23039, 30297, 23954, 9458, 105324, 107246, 121894, 15682, 11571, 121837, 103826, 11571, 118430, 105324, 107246, 11571, 105324, 107246, 122434, 95532, 9458, 24326, 117, 33420, 122523, 108476, 121894, 15682, 11571, 103858, 120, 101828, 11571, 106142, 99750, 95532, 9458, 48915, 91774, 15682, 11571, 95543, 106608, 15682, 11571, 107202, 21105, 251, 30297, 95532, 111573, 107624, 95001, 10110, 120761, 105085, 71289, 32648, 77913, 30512, 11883, 102532, 30813, 104043, 23039, 30297, 23954, 9458, 119732, 122258, 60868, 76171, 16144, 108867, 23187, 198, 9458, 37689, 109375, 121894, 16144, 107624, 95001, 198, 9458, 102494, 78683, 102514, 99741, 100815, 198, 9458, 115963, 20230, 108602, 72238, 80172, 58318, 103462, 247, 101171, 230, 47095, 105184, 33563, 198, 41920, 33671, 107624, 95001, 10110, 119732, 122258, 60868, 76171, 51385, 23187, 74482, 23954, 9458, 103429, 114172, 9458, 108134, 16144, 110226, 43167, 198, 9458, 111006, 120761, 105085, 5486, 37087, 96356, 16144, 114181, 105085, 198, 119869, 108436, 107430, 56051, 9039, 32149, 9953, 5486, 10110, 114774, 11571, 118899, 17129, 77181, 119735, 75910, 106528, 101559, 20230, 198, 13177, 108056, 19732, 108134, 59739, 28713, 107290, 57980, 76864, 198, 114016, 57326, 108969, 16073, 113799, 107462, 79721, 9174, 28713, 104369, 25827, 107188, 31431, 112391, 109161, 16995, 52030, 106528, 104599, 103351, 20230, 121953, 124897, 9174, 125743, 108056, 114267, 108134, 76947, 95532, 16995, 100472, 16995, 26854, 103171, 104865, 198, 27929, 51330, 39177, 28542, 16556, 53900, 101860, 33121, 29295, 21990, 100204, 38144, 103801, 61689, 9174, 103242, 109519, 29295, 39880, 64810, 22398, 73590, 54926, 103984, 28542, 19732, 198, 75910, 106528, 29295, 39880, 64810, 22398, 73590, 54926, 103984, 28542, 15682, 121953, 115991, 33541, 9174, 32977, 43514, 85791, 25827, 103242, 104599, 19732, 52030, 106528, 104599, 16144, 56965, 72661, 102131, 38641, 9174, 37271, 103296, 16144, 104378, 107391, 37823, 123283, 32131, 91062, 5486, 17620, 102212, 29295, 108010, 30297, 103846, 198, 77693, 108422, 33121, 16144, 107430, 104091, 16556, 113727, 24273, 71289, 103984, 28542, 29295, 198, 108010, 30297, 104468, 40265, 115926, 123628, 30926, 105321, 38641, 9174, 110382, 30512, 104195, 31634, 15024, 120195, 38144, 15682, 50211, 23039, 101911, 16144, 17129, 103296, 105243, 110596, 20230, 39209, 78183, 30369, 109335, 124897, 9174, 104662, 39926, 75910, 106528, 101559, 104088, 17297, 103792, 113334, 104446, 124897, 9174, 90620, 103242, 109519, 16144, 30926, 16556, 104405, 120837, 75910, 106528, 101559, 20230, 64467, 20379, 30512, 21105, 103, 76622, 33503, 81219, 16995, 76622, 26854, 30926, 15682, 198, 43240, 104680, 57903, 33541, 109900, 30512, 198, 9458, 118279, 198, 9458, 33334, 21105, 97, 76622, 198, 9458, 52030, 106528, 104599, 15682, 99849, 32977, 21105, 103, 16995, 198, 104309, 19732, 19732, 102204, 124195, 114732, 115789, 30926, 103350, 38641, 9174, 108044, 58942, 32149, 28713, 71289, 33334, 112622, 117714, 106548, 24273, 109853, 32977, 113727, 123207, 16995, 124324, 106046, 61689, 9174, 77693, 108422, 33121, 16144, 107430, 104091, 16144, 107734, 111017, 30512, 21105, 96, 107277, 46239, 15024, 9080, 104680, 122984, 109768, 47884, 198, 80539, 55999, 19361, 109768, 47884, 105908, 27384, 102769, 115717, 33541, 9174, 75910, 106528, 15682, 75910, 106528, 16144, 118347, 105988, 124766, 198, 52030, 106528, 15682, 52030, 106528, 16144, 118347, 105988, 124766, 198, 77693, 108422, 33121, 16144, 17620, 102212, 16556, 15120, 21990, 103435, 116, 51609, 117876, 30512, 127145, 9174, 75910, 106528, 101559, 20230, 67016, 53283, 110104, 17701, 104157, 112919, 104398, 121867, 108134, 15682, 121771, 98369, 57903, 198, 122571, 5486, 107188, 31431, 77693, 30512, 30591, 38144, 20230, 107726, 111243, 33503, 76947, 61689, 9174, 75910, 106528, 101559, 16144, 198, 13177, 108064, 32977, 104856, 25827, 32149, 108010, 30297, 102189, 57980, 26854, 11972, 111329, 109904, 99849, 95221, 100604, 127849, 71289, 50834, 105321, 32149, 32977, 198, 33014, 104873, 104721, 33208, 16144, 25580, 6708, 228, 103351, 31431, 54926, 30926, 29295, 198, 43240, 104680, 57903, 33541, 9174, 75910, 106528, 101559, 110792, 38093, 87177, 15682, 19732, 111243, 107693, 26854, 108134, 39084, 105321, 38641, 9174, 103242, 109519, 114556, 39926, 75910, 106528, 101559, 15682, 17620, 124403, 104468, 112672, 16556, 32018, 62004, 120195, 38144, 112987, 76622, 26854, 72342, 25827, 29295, 198, 103242, 109519, 110366, 55031, 75910, 106528, 101559, 105352, 108975, 48634, 120837, 110104, 102083, 124324, 30926, 15682, 59614, 101860, 57903, 33541, 9174, 33334, 124730, 54926, 20230, 30591, 28713, 76947, 103350, 102923, 103792, 30926, 198, 51330, 41007, 30512, 112599, 33334, 22957, 26854, 76947, 61689, 9174, 108064, 72661, 75910, 106528, 101559, 102052, 13177, 86790, 59712, 117943, 112586, 39926, 33541, 10646, 104309, 19732, 198, 19732, 99750, 118835, 16144, 120208, 30512, 112690, 116446, 59739, 28713, 107290, 61689, 9174, 33334, 106483, 117714, 117876, 30512, 113797, 30358, 21105, 103, 29295, 33503, 198, 99750, 118835, 16144, 120208, 114792, 76947, 198, 55999, 20230, 122502, 47884, 9174, 108134, 39209, 109033, 16144, 17663, 33121, 121953, 111476, 120208, 16144, 17663, 33121, 121953, 111848, 78183, 36785, 32149, 109709, 30512, 198, 32335, 31809, 48249, 20230, 117657, 118733, 198, 111575, 26854, 124180, 29295, 125545, 9174, 114715, 112772, 89753, 23039, 100472, 112690, 9174, 17129, 30813, 20230, 102756, 109482, 103202, 9174, 52030, 106528, 19732, 75910, 106528, 15682, 104662, 39926, 113850, 29295, 109161, 16995, 113334, 111769, 38641, 9174, 19732, 122571, 91763, 76947, 61689, 9174, 109709, 108056, 198, 46702, 25963, 97049, 111482, 1811, 52030, 106528, 104599, 25963, 25963, 8107, 30832, 102321, 107734, 52030, 106528, 104599, 38641, 1811, 110999, 103868, 15682, 25963, 34617, 97049, 32149, 27704, 109013, 60868, 112694, 57183, 16073, 1811, 16325, 20713, 95543, 108324, 23538, 107571, 19732, 31809, 46702, 110665, 33121, 25827, 121441, 23018, 45829, 117255, 101662, 38144, 28194, 106, 119895, 16325, 1811, 127032, 127282, 21990, 17129, 106824, 55031, 101860, 104043, 95543, 108324, 23538, 1811, 25963, 116298, 16144, 10110, 46702, 97049, 7705, 101198, 78683, 123577, 39880, 99959, 107840, 52591, 102860, 19732, 42016, 104157, 1811, 20251, 25197, 44971, 20251, 44971, 118928, 94550, 32977, 21388, 113529, 67016, 26854, 111331, 7305, 254, 58942, 23706, 244, 57903, 1811, 109739, 78256, 223, 106670, 106613, 112167, 16144, 111764, 107707, 101908, 122485, 1811, 122502, 50834, 106272, 45829, 101662, 38144, 15024, 5486, 112008, 21105, 243, 20230, 104862, 123671, 106272, 32977, 9080, 104680, 127091, 30512, 112391, 112361, 101128, 102, 64121, 30512, 32977, 59739, 30591, 112568, 19732, 55999, 99750, 15024, 5486, 64121, 103171, 29295, 105465, 106624, 103188, 48154, 109768, 76622, 33541, 104466, 1811, 53283, 109375, 106613, 111186, 30512, 21990, 32149, 21105, 224, 112568, 124911, 21990, 20230, 114715, 72661, 57326, 112718, 108176, 126521, 108134, 102404, 22023, 109768, 50834, 33541, 6447, 128001, 128000, 2, 220, 58942, 42891, 5486, 53283, 33503, 104435, 32351, 102397, 4916, 242, 115553, 16144, 117831, 31431, 106633, 16144, 17297, 121995, 30512, 198, 102181, 102334, 104468, 108149, 16144, 5486, 101161, 249, 117831, 49409, 7741, 236, 11571, 106609, 567, 113851, 236, 16144, 117831, 31431, 106633, 102052, 13177, 101778, 107873, 55723, 114760, 17792, 49409, 7741, 236, 111329, 72368, 104650, 23530, 16556, 121410, 8107, 24, 9953, 120650, 126832, 108044, 105156, 23039, 30926, 5486, 102397, 4916, 242, 115553, 77181, 112318, 105189, 26854, 117831, 106633, 29295, 11883, 16995, 102204, 33541, 29295, 106116, 15120, 34048, 15682, 116421, 19361, 13372, 26854, 101161, 249, 117831, 49409, 7741, 236, 20230, 106644, 107277, 107407, 102944, 126529, 38641, 1811, 102571, 55038, 16144, 117831, 106633, 102052, 74482, 106633, 121270, 106633, 5486, 53610, 73686, 106633, 5486, 119147, 106633, 102677, 104091, 104770, 115991, 106116, 16325, 16144, 17297, 102865, 74482, 106633, 13177, 112237, 117503, 17297, 121995, 15682, 49409, 7741, 236, 113468, 110240, 32149, 103468, 102083, 78183, 106824, 108086, 5486, 103350, 104983, 20230, 13177, 101778, 107873, 55723, 114760, 17792, 49409, 7741, 236, 66383, 95604, 18476, 29295, 61304, 116216, 61689, 1811, 18476, 107118, 55723, 46729, 71289, 17161, 114754, 22656, 13372, 16144, 43511, 107294, 105784, 120613, 16144, 100909, 38641, 113637, 13177, 55723, 114760, 17792, 49409, 7741, 236, 66383, 95604, 18476, 15682, 5245, 21, 8107, 119400, 103296, 11883, 16995, 109115, 19732, 116216, 108086, 36896, 112237, 10646, 15682, 58426, 119400, 20230, 19967, 109115, 102944, 118816, 113727, 102204, 33541, 9174, 567, 112243, 249, 117831, 49409, 7741, 236, 16144, 103268, 21990, 119630, 18904, 32149, 120613, 30512, 104721, 107290, 112415, 198, 10967, 15, 116033, 21990, 17129, 103468, 101161, 249, 117831, 49409, 7741, 236, 15682, 5486, 21990, 96311, 107, 30512, 33035, 100204, 38144, 508, 18904, 71689, 32977, 120613, 30512, 104721, 107290, 112415, 107113, 105908, 53283, 124195, 61689, 1811, 102397, 4916, 242, 115553, 16556, 33655, 126832, 74482, 106633, 20230, 61304, 103646, 13177, 49409, 7741, 236, 66383, 95604, 18476, 15682, 11128, 23, 8107, 23897, 104989, 20230, 11883, 16995, 102204, 101732, 102944, 38641, 1811, 56051, 29295, 76947, 36896, 112237, 10646, 15682, 49409, 7741, 236, 29295, 1987, 97049, 55031, 2790, 97049, 120264, 16144, 126101, 110240, 32149, 103468, 102944, 19732, 113727, 102204, 33541, 1811, 10562, 16, 8107, 23897, 104989, 15682, 13177, 117555, 106112, 10110, 106956, 19732, 7705, 10646, 5486, 10828, 15, 8107, 23897, 104989, 15682, 13177, 101399, 15120, 10110, 104712, 59739, 7705, 10646, 5486, 10750, 16, 8107, 23897, 104989, 15682, 13177, 11239, 235, 10110, 17129, 25827, 100204, 7705, 10646, 102677, 18476, 30512, 11883, 107991, 104309, 5486, 49409, 7741, 236, 15682, 99849, 27479, 32977, 23226, 13372, 117824, 16995, 106116, 72368, 27479, 73686, 42891, 104087, 15024, 30512, 103721, 108, 31431, 104196, 121256, 9174, 567, 10447, 117, 242, 53953, 16144, 104773, 105110, 77181, 66297, 104, 106145, 126194, 117831, 31431, 106633, 20230, 123457, 17701, 103468, 198, 102397, 4916, 242, 115553, 16556, 33655, 126832, 102571, 55038, 71289, 117831, 106633, 15682, 5245, 15, 112425, 25580, 103268, 20230, 19967, 109115, 102083, 78183, 106824, 61689, 1811, 97518, 101778, 16144, 58911, 101918, 15682, 14608, 104, 106145, 29295, 39850, 76171, 16144, 102944, 29295, 43240, 117714, 119627, 5486, 104486, 7741, 238, 58254, 117, 16144, 102865, 103351, 115789, 57903, 5486, 104858, 101634, 77181, 106633, 29295, 43240, 47884, 108167, 122382, 125398, 105908, 66378, 17599, 112, 38641, 9174, 58426, 117831, 106633, 102052, 5486, 35330, 71289, 108115, 30512, 11883, 102334, 100853, 116, 71289, 48915, 29504, 106518, 16144, 100783, 233, 108327, 27869, 245, 10110, 104328, 33503, 116826, 1981, 100783, 233, 39135, 16144, 112950, 46034, 16144, 27869, 94, 105811, 111887, 53953, 16144, 100909, 65459, 91482, 42634, 65575, 10110, 115882, 102832, 67075, 7705, 104309, 102083, 100472, 45736, 95001, 26854, 108321, 29295, 33655, 78183, 106824, 61689, 1811, 26130, 30832, 17663, 125231, 15682, 5486, 110456, 103721, 235, 16144, 123499, 26854, 112113, 19732, 17297, 121995, 29295, 40265, 125344, 19361, 13372, 26854, 121995, 104599, 113468, 110240, 32149, 103468, 102944, 103195, 102677, 100909, 38641, 1811, 110456, 103721, 235, 16144, 112113, 15682, 112599, 77181, 88356, 102321, 118765, 108680, 163, 35911, 28741, 16556, 103424, 105284, 26854, 102944, 116787, 5486, 40265, 39177, 112028, 89753, 16144, 107430, 17792, 113468, 19967, 109115, 102944, 19732, 113727, 102204, 33541, 1811, 117831, 106633, 16144, 17297, 121995, 15682, 111179, 101083, 121995, 104599, 103195, 101161, 249, 117831, 49409, 7741, 236, 71289, 105635, 53229, 15308, 226, 55030, 10110, 105104, 100204, 78183, 33503, 58942, 16995, 15024, 7705, 33503, 113468, 110240, 32149, 33121, 79721, 113637, 100909, 55031, 5486, 104858, 101634, 119208, 29295, 32149, 59739, 38144, 106613, 111587, 112535, 19732, 111243, 119515, 32149, 103351, 105908, 30297, 32149, 29295, 58942, 33541, 9174, 567, 116056, 117831, 31431, 106633, 5486, 119263, 78767, 39880, 91062, 72368, 104650, 16556, 91774, 33121, 33541, 198, 49409, 7741, 236, 113468, 17297, 121995, 29295, 110240, 32149, 103468, 117831, 106633, 15682, 37271, 32977, 102397, 4916, 242, 115553, 111331, 102571, 55038, 16556, 11883, 16995, 124195, 61689 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 111476, 105994, 29295, 75910, 106528, 55031, 109215, 26854, 108134, 30512, 50834, 43514, 127842, 104655, 50834, 36785, 30813, 26854, 42891, 32149, 28713, 113009, 198, 125119, 100472, 30926, 27452, 116787, 198, 27384, 112495, 95543, 66870, 28542, 121711, 79721, 9174, 51330, 77219, 30512, 98499, 104127, 16995, 90620, 119188, 75910, 106528, 101559, 120332, 104680, 107809, 102052, 198, 13177, 15682, 11571, 26854, 107436, 25827, 16144, 11571, 105324, 107246, 39926, 100604, 32149, 5486, 103792, 32149, 120264, 78183, 117295, 78183, 32351, 10646, 19732, 198, 91763, 126832, 24273, 32977, 16995, 104533, 91763, 61689, 9174, 125743, 64121, 103171, 29295, 102131, 111769, 116233, 9174, 85701, 29295, 103350, 104983, 16144, 102321, 75267, 16144, 103350, 40474, 105321, 38641, 9174, 58426, 75267, 20230, 16995, 100604, 17792, 20230, 198, 16995, 111201, 37656, 105184, 20230, 108134, 30512, 108044, 105262, 105908, 108608, 32149, 198, 77693, 29295, 108134, 30512, 43511, 30046, 20230, 108044, 105262, 41007, 16556, 15120, 87217, 27384, 102769, 26854, 30926, 105321, 38641, 9174, 85701, 15682, 52030, 106528, 104599, 19732, 75910, 106528, 101559, 16144, 56965, 103378, 16144, 30926, 126194, 198, 37087, 38144, 16144, 107430, 104091, 16556, 78244, 105262, 100909, 72661, 57903, 33541, 9174, 53900, 5486, 103242, 109519, 71289, 103005, 55228, 231, 114556, 108826, 103470, 108936, 124911, 20230, 78183, 117295, 108044, 58942, 24273, 198, 102677, 104468, 19732, 111243, 27384, 30926, 26854, 100909, 36785, 106046, 61689, 9174, 17905, 77219, 27452, 16556, 104774, 125913, 47260, 64178, 16556, 104655, 107188, 118145, 16995, 76622, 104435, 108134, 198, 17905, 61304, 30512, 64780, 118649, 95399, 107624, 95001, 19732, 78244, 61689, 1811, 32648, 77913, 29295, 103470, 111243, 112832, 72661, 108608, 107624, 95001, 38641, 9174, 75910, 106528, 101559, 117758, 104774, 125913, 47260, 64178, 122291, 126513, 198, 122617, 17905, 61304, 16144, 118075, 21909, 126892, 16144, 30926, 30512, 30512, 114140, 54926, 100909, 9174, 77693, 121142, 198, 37271, 114225, 127091, 21105, 103, 118145, 16995, 124324, 32149, 104405, 116421, 19361, 43568, 29295, 122225, 125545, 84499, 107624, 95001, 16144, 104091, 104770, 198, 118649, 95399, 107624, 95001, 10110, 99750, 112854, 30512, 11883, 102532, 80805, 67075, 23039, 30297, 23954, 9458, 105324, 107246, 121894, 15682, 11571, 121837, 103826, 11571, 118430, 105324, 107246, 11571, 105324, 107246, 122434, 95532, 9458, 24326, 117, 33420, 122523, 108476, 121894, 15682, 11571, 103858, 120, 101828, 11571, 106142, 99750, 95532, 9458, 48915, 91774, 15682, 11571, 95543, 106608, 15682, 11571, 107202, 21105, 251, 30297, 95532, 111573, 107624, 95001, 10110, 120761, 105085, 71289, 32648, 77913, 30512, 11883, 102532, 30813, 104043, 23039, 30297, 23954, 9458, 119732, 122258, 60868, 76171, 16144, 108867, 23187, 198, 9458, 37689, 109375, 121894, 16144, 107624, 95001, 198, 9458, 102494, 78683, 102514, 99741, 100815, 198, 9458, 115963, 20230, 108602, 72238, 80172, 58318, 103462, 247, 101171, 230, 47095, 105184, 33563, 198, 41920, 33671, 107624, 95001, 10110, 119732, 122258, 60868, 76171, 51385, 23187, 74482, 23954, 9458, 103429, 114172, 9458, 108134, 16144, 110226, 43167, 198, 9458, 111006, 120761, 105085, 5486, 37087, 96356, 16144, 114181, 105085, 198, 119869, 108436, 107430, 56051, 9039, 32149, 9953, 5486, 10110, 114774, 11571, 118899, 17129, 77181, 119735, 75910, 106528, 101559, 20230, 198, 13177, 108056, 19732, 108134, 59739, 28713, 107290, 57980, 76864, 198, 114016, 57326, 108969, 16073, 113799, 107462, 79721, 9174, 28713, 104369, 25827, 107188, 31431, 112391, 109161, 16995, 52030, 106528, 104599, 103351, 20230, 121953, 124897, 9174, 125743, 108056, 114267, 108134, 76947, 95532, 16995, 100472, 16995, 26854, 103171, 104865, 198, 27929, 51330, 39177, 28542, 16556, 53900, 101860, 33121, 29295, 21990, 100204, 38144, 103801, 61689, 9174, 103242, 109519, 29295, 39880, 64810, 22398, 73590, 54926, 103984, 28542, 19732, 198, 75910, 106528, 29295, 39880, 64810, 22398, 73590, 54926, 103984, 28542, 15682, 121953, 115991, 33541, 9174, 32977, 43514, 85791, 25827, 103242, 104599, 19732, 52030, 106528, 104599, 16144, 56965, 72661, 102131, 38641, 9174, 37271, 103296, 16144, 104378, 107391, 37823, 123283, 32131, 91062, 5486, 17620, 102212, 29295, 108010, 30297, 103846, 198, 77693, 108422, 33121, 16144, 107430, 104091, 16556, 113727, 24273, 71289, 103984, 28542, 29295, 198, 108010, 30297, 104468, 40265, 115926, 123628, 30926, 105321, 38641, 9174, 110382, 30512, 104195, 31634, 15024, 120195, 38144, 15682, 50211, 23039, 101911, 16144, 17129, 103296, 105243, 110596, 20230, 39209, 78183, 30369, 109335, 124897, 9174, 104662, 39926, 75910, 106528, 101559, 104088, 17297, 103792, 113334, 104446, 124897, 9174, 90620, 103242, 109519, 16144, 30926, 16556, 104405, 120837, 75910, 106528, 101559, 20230, 64467, 20379, 30512, 21105, 103, 76622, 33503, 81219, 16995, 76622, 26854, 30926, 15682, 198, 43240, 104680, 57903, 33541, 109900, 30512, 198, 9458, 118279, 198, 9458, 33334, 21105, 97, 76622, 198, 9458, 52030, 106528, 104599, 15682, 99849, 32977, 21105, 103, 16995, 198, 104309, 19732, 19732, 102204, 124195, 114732, 115789, 30926, 103350, 38641, 9174, 108044, 58942, 32149, 28713, 71289, 33334, 112622, 117714, 106548, 24273, 109853, 32977, 113727, 123207, 16995, 124324, 106046, 61689, 9174, 77693, 108422, 33121, 16144, 107430, 104091, 16144, 107734, 111017, 30512, 21105, 96, 107277, 46239, 15024, 9080, 104680, 122984, 109768, 47884, 198, 80539, 55999, 19361, 109768, 47884, 105908, 27384, 102769, 115717, 33541, 9174, 75910, 106528, 15682, 75910, 106528, 16144, 118347, 105988, 124766, 198, 52030, 106528, 15682, 52030, 106528, 16144, 118347, 105988, 124766, 198, 77693, 108422, 33121, 16144, 17620, 102212, 16556, 15120, 21990, 103435, 116, 51609, 117876, 30512, 127145, 9174, 75910, 106528, 101559, 20230, 67016, 53283, 110104, 17701, 104157, 112919, 104398, 121867, 108134, 15682, 121771, 98369, 57903, 198, 122571, 5486, 107188, 31431, 77693, 30512, 30591, 38144, 20230, 107726, 111243, 33503, 76947, 61689, 9174, 75910, 106528, 101559, 16144, 198, 13177, 108064, 32977, 104856, 25827, 32149, 108010, 30297, 102189, 57980, 26854, 11972, 111329, 109904, 99849, 95221, 100604, 127849, 71289, 50834, 105321, 32149, 32977, 198, 33014, 104873, 104721, 33208, 16144, 25580, 6708, 228, 103351, 31431, 54926, 30926, 29295, 198, 43240, 104680, 57903, 33541, 9174, 75910, 106528, 101559, 110792, 38093, 87177, 15682, 19732, 111243, 107693, 26854, 108134, 39084, 105321, 38641, 9174, 103242, 109519, 114556, 39926, 75910, 106528, 101559, 15682, 17620, 124403, 104468, 112672, 16556, 32018, 62004, 120195, 38144, 112987, 76622, 26854, 72342, 25827, 29295, 198, 103242, 109519, 110366, 55031, 75910, 106528, 101559, 105352, 108975, 48634, 120837, 110104, 102083, 124324, 30926, 15682, 59614, 101860, 57903, 33541, 9174, 33334, 124730, 54926, 20230, 30591, 28713, 76947, 103350, 102923, 103792, 30926, 198, 51330, 41007, 30512, 112599, 33334, 22957, 26854, 76947, 61689, 9174, 108064, 72661, 75910, 106528, 101559, 102052, 13177, 86790, 59712, 117943, 112586, 39926, 33541, 10646, 104309, 19732, 198, 19732, 99750, 118835, 16144, 120208, 30512, 112690, 116446, 59739, 28713, 107290, 61689, 9174, 33334, 106483, 117714, 117876, 30512, 113797, 30358, 21105, 103, 29295, 33503, 198, 99750, 118835, 16144, 120208, 114792, 76947, 198, 55999, 20230, 122502, 47884, 9174, 108134, 39209, 109033, 16144, 17663, 33121, 121953, 111476, 120208, 16144, 17663, 33121, 121953, 111848, 78183, 36785, 32149, 109709, 30512, 198, 32335, 31809, 48249, 20230, 117657, 118733, 198, 111575, 26854, 124180, 29295, 125545, 9174, 114715, 112772, 89753, 23039, 100472, 112690, 9174, 17129, 30813, 20230, 102756, 109482, 103202, 9174, 52030, 106528, 19732, 75910, 106528, 15682, 104662, 39926, 113850, 29295, 109161, 16995, 113334, 111769, 38641, 9174, 19732, 122571, 91763, 76947, 61689, 9174, 109709, 108056, 198, 46702, 25963, 97049, 111482, 1811, 52030, 106528, 104599, 25963, 25963, 8107, 30832, 102321, 107734, 52030, 106528, 104599, 38641, 1811, 110999, 103868, 15682, 25963, 34617, 97049, 32149, 27704, 109013, 60868, 112694, 57183, 16073, 1811, 16325, 20713, 95543, 108324, 23538, 107571, 19732, 31809, 46702, 110665, 33121, 25827, 121441, 23018, 45829, 117255, 101662, 38144, 28194, 106, 119895, 16325, 1811, 127032, 127282, 21990, 17129, 106824, 55031, 101860, 104043, 95543, 108324, 23538, 1811, 25963, 116298, 16144, 10110, 46702, 97049, 7705, 101198, 78683, 123577, 39880, 99959, 107840, 52591, 102860, 19732, 42016, 104157, 1811, 20251, 25197, 44971, 20251, 44971, 118928, 94550, 32977, 21388, 113529, 67016, 26854, 111331, 7305, 254, 58942, 23706, 244, 57903, 1811, 109739, 78256, 223, 106670, 106613, 112167, 16144, 111764, 107707, 101908, 122485, 1811, 122502, 50834, 106272, 45829, 101662, 38144, 15024, 5486, 112008, 21105, 243, 20230, 104862, 123671, 106272, 32977, 9080, 104680, 127091, 30512, 112391, 112361, 101128, 102, 64121, 30512, 32977, 59739, 30591, 112568, 19732, 55999, 99750, 15024, 5486, 64121, 103171, 29295, 105465, 106624, 103188, 48154, 109768, 76622, 33541, 104466, 1811, 53283, 109375, 106613, 111186, 30512, 21990, 32149, 21105, 224, 112568, 124911, 21990, 20230, 114715, 72661, 57326, 112718, 108176, 126521, 108134, 102404, 22023, 109768, 50834, 33541, 6447, 128001, 128000, 2, 220, 58942, 42891, 5486, 53283, 33503, 104435, 32351, 102397, 4916, 242, 115553, 16144, 117831, 31431, 106633, 16144, 17297, 121995, 30512, 198, 102181, 102334, 104468, 108149, 16144, 5486, 101161, 249, 117831, 49409, 7741, 236, 11571, 106609, 567, 113851, 236, 16144, 117831, 31431, 106633, 102052, 13177, 101778, 107873, 55723, 114760, 17792, 49409, 7741, 236, 111329, 72368, 104650, 23530, 16556, 121410, 8107, 24, 9953, 120650, 126832, 108044, 105156, 23039, 30926, 5486, 102397, 4916, 242, 115553, 77181, 112318, 105189, 26854, 117831, 106633, 29295, 11883, 16995, 102204, 33541, 29295, 106116, 15120, 34048, 15682, 116421, 19361, 13372, 26854, 101161, 249, 117831, 49409, 7741, 236, 20230, 106644, 107277, 107407, 102944, 126529, 38641, 1811, 102571, 55038, 16144, 117831, 106633, 102052, 74482, 106633, 121270, 106633, 5486, 53610, 73686, 106633, 5486, 119147, 106633, 102677, 104091, 104770, 115991, 106116, 16325, 16144, 17297, 102865, 74482, 106633, 13177, 112237, 117503, 17297, 121995, 15682, 49409, 7741, 236, 113468, 110240, 32149, 103468, 102083, 78183, 106824, 108086, 5486, 103350, 104983, 20230, 13177, 101778, 107873, 55723, 114760, 17792, 49409, 7741, 236, 66383, 95604, 18476, 29295, 61304, 116216, 61689, 1811, 18476, 107118, 55723, 46729, 71289, 17161, 114754, 22656, 13372, 16144, 43511, 107294, 105784, 120613, 16144, 100909, 38641, 113637, 13177, 55723, 114760, 17792, 49409, 7741, 236, 66383, 95604, 18476, 15682, 5245, 21, 8107, 119400, 103296, 11883, 16995, 109115, 19732, 116216, 108086, 36896, 112237, 10646, 15682, 58426, 119400, 20230, 19967, 109115, 102944, 118816, 113727, 102204, 33541, 9174, 567, 112243, 249, 117831, 49409, 7741, 236, 16144, 103268, 21990, 119630, 18904, 32149, 120613, 30512, 104721, 107290, 112415, 198, 10967, 15, 116033, 21990, 17129, 103468, 101161, 249, 117831, 49409, 7741, 236, 15682, 5486, 21990, 96311, 107, 30512, 33035, 100204, 38144, 508, 18904, 71689, 32977, 120613, 30512, 104721, 107290, 112415, 107113, 105908, 53283, 124195, 61689, 1811, 102397, 4916, 242, 115553, 16556, 33655, 126832, 74482, 106633, 20230, 61304, 103646, 13177, 49409, 7741, 236, 66383, 95604, 18476, 15682, 11128, 23, 8107, 23897, 104989, 20230, 11883, 16995, 102204, 101732, 102944, 38641, 1811, 56051, 29295, 76947, 36896, 112237, 10646, 15682, 49409, 7741, 236, 29295, 1987, 97049, 55031, 2790, 97049, 120264, 16144, 126101, 110240, 32149, 103468, 102944, 19732, 113727, 102204, 33541, 1811, 10562, 16, 8107, 23897, 104989, 15682, 13177, 117555, 106112, 10110, 106956, 19732, 7705, 10646, 5486, 10828, 15, 8107, 23897, 104989, 15682, 13177, 101399, 15120, 10110, 104712, 59739, 7705, 10646, 5486, 10750, 16, 8107, 23897, 104989, 15682, 13177, 11239, 235, 10110, 17129, 25827, 100204, 7705, 10646, 102677, 18476, 30512, 11883, 107991, 104309, 5486, 49409, 7741, 236, 15682, 99849, 27479, 32977, 23226, 13372, 117824, 16995, 106116, 72368, 27479, 73686, 42891, 104087, 15024, 30512, 103721, 108, 31431, 104196, 121256, 9174, 567, 10447, 117, 242, 53953, 16144, 104773, 105110, 77181, 66297, 104, 106145, 126194, 117831, 31431, 106633, 20230, 123457, 17701, 103468, 198, 102397, 4916, 242, 115553, 16556, 33655, 126832, 102571, 55038, 71289, 117831, 106633, 15682, 5245, 15, 112425, 25580, 103268, 20230, 19967, 109115, 102083, 78183, 106824, 61689, 1811, 97518, 101778, 16144, 58911, 101918, 15682, 14608, 104, 106145, 29295, 39850, 76171, 16144, 102944, 29295, 43240, 117714, 119627, 5486, 104486, 7741, 238, 58254, 117, 16144, 102865, 103351, 115789, 57903, 5486, 104858, 101634, 77181, 106633, 29295, 43240, 47884, 108167, 122382, 125398, 105908, 66378, 17599, 112, 38641, 9174, 58426, 117831, 106633, 102052, 5486, 35330, 71289, 108115, 30512, 11883, 102334, 100853, 116, 71289, 48915, 29504, 106518, 16144, 100783, 233, 108327, 27869, 245, 10110, 104328, 33503, 116826, 1981, 100783, 233, 39135, 16144, 112950, 46034, 16144, 27869, 94, 105811, 111887, 53953, 16144, 100909, 65459, 91482, 42634, 65575, 10110, 115882, 102832, 67075, 7705, 104309, 102083, 100472, 45736, 95001, 26854, 108321, 29295, 33655, 78183, 106824, 61689, 1811, 26130, 30832, 17663, 125231, 15682, 5486, 110456, 103721, 235, 16144, 123499, 26854, 112113, 19732, 17297, 121995, 29295, 40265, 125344, 19361, 13372, 26854, 121995, 104599, 113468, 110240, 32149, 103468, 102944, 103195, 102677, 100909, 38641, 1811, 110456, 103721, 235, 16144, 112113, 15682, 112599, 77181, 88356, 102321, 118765, 108680, 163, 35911, 28741, 16556, 103424, 105284, 26854, 102944, 116787, 5486, 40265, 39177, 112028, 89753, 16144, 107430, 17792, 113468, 19967, 109115, 102944, 19732, 113727, 102204, 33541, 1811, 117831, 106633, 16144, 17297, 121995, 15682, 111179, 101083, 121995, 104599, 103195, 101161, 249, 117831, 49409, 7741, 236, 71289, 105635, 53229, 15308, 226, 55030, 10110, 105104, 100204, 78183, 33503, 58942, 16995, 15024, 7705, 33503, 113468, 110240, 32149, 33121, 79721, 113637, 100909, 55031, 5486, 104858, 101634, 119208, 29295, 32149, 59739, 38144, 106613, 111587, 112535, 19732, 111243, 119515, 32149, 103351, 105908, 30297, 32149, 29295, 58942, 33541, 9174, 567, 116056, 117831, 31431, 106633, 5486, 119263, 78767, 39880, 91062, 72368, 104650, 16556, 91774, 33121, 33541, 198, 49409, 7741, 236, 113468, 17297, 121995, 29295, 110240, 32149, 103468, 117831, 106633, 15682, 37271, 32977, 102397, 4916, 242, 115553, 111331, 102571, 55038, 16556, 11883, 16995, 124195, 61689 ]
[ 1811, 32977, 43514, 85791, 25827, 102397, 4916, 242, 115553, 31431, 16556, 91774, 30369, 115789, 125545, 29295, 5486, 119263, 78767, 39880, 91062, 72368, 104650, 72661, 40053, 39177, 127950, 29295, 23039, 78183, 106824, 61689, 1811, 119263, 78767, 39880, 91062, 72368, 104650, 16144, 48864, 117813, 102351, 103195, 103005, 102687, 117940, 13177, 117831, 106633, 15682, 106786, 104346, 20230, 109835, 104028, 104309, 39926, 8239, 96, 33208, 39926, 114732, 102944, 16556, 108048, 30512, 103181, 104699, 113009, 127762, 30358, 20230, 47585, 54926, 109215, 107407, 105272, 115204, 102083, 61689, 1811, 117831, 106633, 15682, 19732, 111243, 119448, 47884, 117598, 48634, 16144, 101182, 102944, 26854, 105879, 5486, 112371, 104328, 115364, 30832, 16556, 105184, 32149, 107436, 64121, 38144, 72315, 101832, 1811, 128001, 128000, 60218, 16786, 121960, 16144, 102803, 52414, 44971, 65575, 30512, 112825, 110904, 20230, 122984, 78434, 9174, 118372, 16144, 113801, 24273, 15682, 17792, 113468, 118969, 75694, 17129, 26854, 50338, 13393, 230, 115991, 33541, 1811, 110382, 77181, 115364, 113727, 24273, 20230, 117989, 76947, 122984, 56051, 16995, 106046, 61689, 125939, 18904, 15682, 8509, 52665, 18655, 73686, 32938, 16144, 109933, 84477, 124905, 61689, 9174, 118372, 102052, 77693, 108422, 33121, 105324, 102802, 13372, 19732, 102181, 50834, 24273, 115991, 33541, 1811, 106773, 121057, 118372, 106156, 76428, 105335, 107446, 118372, 65218, 123716, 20251, 44971, 102860, 101911, 40195, 104989, 20251, 44971, 102860, 101911, 105355, 23039, 109933, 124643, 103993, 64936, 110794, 40862, 16995, 220, 106691, 109904, 105324, 102802, 13372, 15682, 51330, 21, 59739, 220, 115303, 59739, 109669, 59739, 113801, 24273, 104088, 38144, 64121, 17129, 109954, 198, 60868, 121057, 118372, 109517, 115, 16995, 46456, 58942, 16144, 112361, 28542, 20230, 74245, 101911, 30512, 17701, 104028, 1811, 112603, 29295, 17297, 29295, 76947, 50834, 38144, 101911, 20230, 30177, 109835, 39926, 95543, 102404, 127564, 42634, 94550, 76171, 1811, 125173, 102769, 124834, 30832, 118844, 29295, 108729, 109904, 89753, 33121, 38641, 1811, 52884, 108748, 29220, 127564, 5486, 17297, 104989, 20251, 44971, 102860, 20230, 60634, 23039, 54926, 107803, 29295, 127181, 38641, 9174, 44971, 76428, 105335, 107446, 118372, 198, 60868, 121057, 118372, 107118, 95543, 103359, 20230, 5486, 105525, 31431, 121819, 113468, 17297, 29295, 100472, 28542, 30512, 102971, 102802, 5486, 50211, 23039, 101911, 30512, 113801, 33541, 9174, 60868, 121057, 118372, 19732, 5486, 44971, 76428, 105335, 107446, 118372, 30512, 102181, 126145, 111999, 76428, 102677, 50211, 23039, 101911, 16144, 50021, 75267, 29295, 91774, 107290, 50834, 33541, 9174, 116056, 104466, 105525, 31431, 107691, 16995, 30512, 103721, 108, 31431, 104196, 39926, 60632, 105576, 30512, 122635, 54926, 41007, 38641, 1811, 110382, 16556, 15120, 59739, 61633, 17663, 125231, 28542, 15682, 110371, 118372, 15682, 17, 32149, 32938, 16144, 50211, 23039, 16144, 17, 28542, 29295, 23187, 17129, 110104, 48249, 31431, 15682, 102404, 91774, 103082, 107515, 1811, 38641, 105879, 103350, 104983, 102052, 109657, 16144, 17, 32149, 32938, 30512, 18655, 30369, 83799, 115717, 33541, 9174, 17905, 123716, 20251, 44971, 102860, 101911, 198, 65218, 123716, 20251, 44971, 102860, 101911, 15682, 5486, 42634, 38248, 121, 29220, 16144, 17297, 55031, 17, 28542, 30512, 102971, 102802, 58426, 101911, 20230, 117989, 76947, 17297, 29295, 121118, 33503, 42634, 94550, 76171, 54926, 30832, 51385, 19732, 78434, 1811, 42634, 94550, 15682, 108729, 112535, 47260, 103223, 47260, 103223, 19732, 115442, 76947, 23039, 47884, 107803, 29295, 43240, 47884, 5486, 60632, 105184, 103296, 20230, 82973, 29295, 32149, 107277, 33541, 124845, 20251, 44971, 102860, 101911, 126328, 64121, 118158, 107803, 105047, 102936, 54926, 109755, 33121, 115991, 33541, 1811, 115442, 31431, 106307, 105784, 50021, 75267, 16556, 42634, 94550, 30512, 101544, 82973, 69978, 59739, 32149, 5486, 15682, 64121, 36785, 39926, 52884, 108748, 29220, 54926, 25580, 6708, 228, 29295, 37507, 30369, 103296, 75293, 59739, 32149, 125651, 9174, 17297, 104989, 20251, 44971, 102860, 101911, 198, 40195, 104989, 20251, 44971, 102860, 15682, 17905, 123716, 20251, 44971, 102860, 19732, 89151, 116900, 1811, 42634, 38248, 121, 29220, 120938, 55031, 102181, 50834, 33541, 1811, 76739, 52414, 37823, 25005, 251, 114810, 15682, 109657, 113692, 1811, 103768, 103424, 47884, 17905, 34048, 16556, 76739, 52414, 102540, 29295, 103082, 28713, 105110, 81219, 5486, 17297, 104989, 20251, 44971, 102860, 126328, 64121, 20834, 30813, 100604, 48249, 31431, 15682, 103826, 45829, 104088, 28713, 118881, 29295, 104712, 123253, 1811, 20251, 44971, 102860, 101911, 126328, 64121, 20834, 127567, 5486, 111999, 76428, 32149, 17905, 123716, 20251, 44971, 102860, 108176, 60868, 76171, 115717, 33541, 9174, 50211, 23039, 109933, 124643, 198, 105355, 23039, 109933, 124643, 15682, 5486, 17905, 123716, 20251, 44971, 102860, 71289, 17297, 104989, 20251, 44971, 102860, 16556, 50211, 23039, 108176, 28542, 30512, 102971, 102802, 33541, 1811, 50211, 23039, 109933, 124643, 107809, 16556, 103682, 30512, 115376, 127145, 1811, 220, 40195, 104989, 20251, 44971, 102860, 16144, 50211, 23039, 109933, 102750, 114615, 107803, 5486, 120098, 15682, 100783, 239, 120938, 123716, 16325, 16144, 112603, 111044, 29295, 101462, 255, 16995, 30926, 38641, 1811, 78183, 75694, 78183, 75694, 42634, 94550, 30512, 108167, 120650, 47884, 30926, 15682, 103470, 5486, 50211, 23039, 109933, 124643, 20230, 30177, 109835, 54926, 103296, 75293, 59739, 118881, 29295, 126521, 38641, 1811, 43568, 105242, 109933, 124643, 126328, 64121, 121406, 115789, 57903, 33541, 1811, 109657, 29295, 102895, 84477, 76171, 120098, 1811, 65218, 123716, 20251, 44971, 102860, 16325, 16144, 50211, 23039, 109933, 124643, 15682, 116900, 38641, 9174, 46091, 64936, 110794, 40862, 16995, 15682, 22053, 32, 29295, 17620, 107277, 126172, 16995, 38641, 9174, 101678, 112495, 91875, 50834, 16144, 74482, 5486, 112603, 111044, 29295, 110226, 123332, 109768, 47884, 103826, 45829, 29295, 17620, 107277, 33541, 1811, 101911, 126328, 64121, 118158, 33503, 119448, 47884, 52884, 108748, 29220, 54926, 75267, 28190, 29295, 127181, 38641, 9174, 109240, 114810, 44971, 65575, 16144, 61633, 28542, 15682, 5486, 101911, 126328, 64121, 20834, 39926, 52884, 108748, 29220, 56051, 106046, 114598, 114941, 76947, 109749, 107803, 29295, 127181, 30926, 38641, 1811, 101911, 16144, 113801, 24273, 15682, 103633, 104364, 32307, 103283, 1811, 104405, 95604, 125173, 102769, 16144, 106548, 24273, 5486, 76739, 52414, 102540, 16144, 106548, 24273, 104309, 30512, 60632, 105576, 107294, 26854, 102639, 30369, 32149, 15682, 106613, 111186, 113468, 108882, 64121, 30358, 101832, 30369, 67016, 103470, 5486, 32307, 27327, 77181, 124897, 119520, 5486, 30832, 51385, 103306, 15682, 27384, 119178, 107734, 118013, 5486, 103087, 35330, 40452, 30512, 21105, 96, 107277, 109768, 104984, 125173, 102769, 32977, 119467, 47884, 120937, 106046, 61689, 1811, 220, 109240, 114810, 44971, 65575, 15682, 116898, 111201, 103856, 47884, 20251, 44971, 102860, 104088, 59739, 105784, 32149, 29295, 104284, 109972, 38641, 1811, 16, 82973, 102780, 5486, 868, 17620, 102780, 5486, 20, 17620, 102780, 5486, 16, 17620, 102780, 107809, 16556, 110745, 112495, 89753, 33121, 104088, 59739, 59739, 5486, 112603, 111044, 29295, 119448, 47884, 18655, 104028, 24273, 64936, 30512, 106767, 15024, 5486, 76739, 52414, 37823, 25005, 251, 114810, 30512, 104662, 109315, 19967, 101275, 38641, 1811, 128001, 128000, 14711, 108791, 65299, 68759, 78459, 220, 806, 198, 33334, 15682, 101200, 123231, 9174, 102147, 123, 103232, 24775, 16144, 30177, 110135, 94923, 18028, 80805, 38248, 121, 96452, 108958, 44971, 118928, 94550, 34174, 18, 12, 29220, 118028, 103906, 12, 38641, 9174, 34174, 18, 12, 29220, 118028, 103906, 12, 77181, 5486, 108631, 64121, 71289, 110783, 110095, 16144, 119045, 23226, 106594, 16144, 102923, 103991, 71289, 20251, 44971, 118928, 94550, 117824, 76947, 61689, 9174, 114948, 22957, 31431, 9458, 64803, 95598, 114948, 9458, 76208, 95598, 114948, 9458, 115519, 108631, 9458, 108768, 33710, 114676, 9458, 108429, 105068, 9458, 37823, 65299, 68759, 78459, 104309, 20230, 101128, 102, 17129, 110731, 24273, 15682, 43240, 47884, 16995, 104533, 91763, 61689, 9174, 40265, 94923, 77181, 107943, 101128, 102, 64121, 30512, 119045, 112535, 23226, 106594, 9458, 50338, 104662, 54926, 113009, 16144, 102923, 103991, 71289, 20251, 44971, 118928, 94550, 117824, 76947, 61689, 9174, 37823, 65299, 68759, 78459, 16144, 114052, 111571, 112415, 23538, 16144, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 16073, 15682, 97518, 107792, 103378, 29295, 103359, 47523, 126194, 5486, 97518, 107792, 30512, 91875, 32149, 17663, 119049, 16144, 119049, 48634, 103167, 17297, 30512, 103181, 104699, 103846, 105352, 109215, 38641, 9174, 90620, 15024, 5486, 108936, 16144, 114754, 54926, 105933, 119049, 48634, 116825, 105784, 124122, 117401, 15682, 5486, 97518, 107792, 30512, 106266, 106624, 91875, 32149, 17663, 105908, 43240, 47884, 5486, 43568, 22649, 120650, 30297, 19732, 97518, 107792, 30512, 108631, 107436, 114732, 125396, 107407, 103846, 103283, 16144, 41007, 117824, 61689, 9174, 27452, 116285, 5486, 32335, 32977, 108631, 64121, 30512, 112391, 100604, 82912, 16556, 97518, 107792, 30512, 91875, 32149, 30813, 100604, 104466, 124108, 56051, 121894, 16556, 5486, 103302, 102639, 30369, 112169, 71289, 110137, 81219, 17663, 112169, 20230, 123457, 17701, 104028, 104466, 117401, 30512, 78434, 9174, 85701, 15682, 119049, 107079, 16144, 101544, 30813, 30512, 104721, 33208, 107726, 100604, 105879, 198, 13177, 50667, 110261, 34171, 110226, 123332, 117401, 104023, 111090, 102741, 39850, 122148, 48552, 111329, 102083, 61689, 9174, 33671, 20230, 5486, 114052, 111571, 66776, 112415, 23538, 198, 1981, 59739, 109709, 37823, 65299, 68759, 78459, 29295, 120175, 100815, 119188, 39177, 23538, 16144, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 113883, 126362, 30512, 78434, 9174, 114052, 111571, 66776, 112415, 23538, 16144, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 16073, 15682, 5486, 97518, 107792, 16144, 91875, 50834, 71289, 119049, 123457, 18904, 109095, 124545, 106592, 30832, 112535, 23039, 123671, 33541, 9174, 97518, 107792, 16144, 104721, 83799, 30512, 109161, 33208, 107726, 100604, 104466, 61633, 21105, 103, 29295, 33503, 5486, 37656, 102800, 117401, 16144, 41007, 19732, 110219, 16144, 9080, 40053, 104654, 30512, 37705, 30369, 124122, 97518, 107792, 16144, 33655, 16995, 24273, 30512, 96356, 107294, 76622, 33541, 9174, 80988, 116, 103433, 236, 5486, 115519, 103433, 236, 16144, 105150, 127258, 29295, 116748, 103792, 126513, 5486, 101365, 106613, 108502, 104698, 16144, 125396, 107407, 103846, 5486, 103242, 104599, 20230, 50021, 111813, 107001, 106592, 33334, 53508, 100, 62004, 78434, 9174, 97518, 107792, 30512, 91875, 32149, 17663, 105908, 108608, 119318, 116310, 10110, 31540, 91875, 103438, 7705, 29295, 101462, 255, 16995, 39177, 15682, 5486, 97518, 107792, 28190, 20230, 109972, 111600, 29295, 32149, 124403, 104466, 114715, 73686, 42891, 105714, 31431, 106272, 5486, 106644, 121710, 111842, 103302, 102639, 110137, 81219, 15024, 54926, 97518, 107792, 31540, 91875, 103438, 115541, 108710, 117824, 61689, 9174, 91875, 32149, 39926, 108631, 64121, 30512, 112391, 28713, 107803, 102052, 5486, 104840, 109315, 104309, 5486, 126843, 5486, 108631, 64121, 30512, 34208, 102639, 38144, 55031, 97518, 107792, 31540, 91875, 103438, 115541, 108710, 117824, 30297, 104466, 103801, 109954, 9174, 34174, 18, 12, 29220, 118028, 103906, 77181, 112073, 103826, 16144, 30832, 112535, 106608, 100204, 38144, 102923, 103991, 123410, 121142, 103470, 5486, 30832, 105888, 30512, 32335, 106649, 16556, 104067, 13153, 54926, 101399, 16144, 20251, 44971, 118928, 94550, 16144, 39880, 45923, 66953, 112900, 105352, 123457, 17701, 106824, 61689, 9174, 34174, 18, 12, 29220, 118028, 103906, 12, 107118, 111476, 44620, 18, 118821, 105284, 29342, 10965, 36761, 30512, 21405, 127145, 9174, 118075, 34174, 315, 2324, 320, 104654, 16144, 105284, 340, 119560, 34174, 315, 4967, 320, 117401, 16144, 105284, 340, 126892, 34174, 315, 11633, 320, 91875, 50834, 16144, 105284, 340, 112073, 103826, 16144, 9080, 40053, 104654, 20230, 5486, 102923, 103991, 19732, 105284, 16144, 126574, 117401, 30512, 108167, 125639, 100481, 90620, 47884, 118733, 71493, 32131, 99959, 16144, 91875, 50834, 30512, 103424, 47884, 15024, 5486, 104654, 16144, 105284, 30512, 109415, 38144, 102717, 102800, 102677, 124730, 29295, 22957, 32977, 76947, 61689, 9174, 86127, 104067, 15682, 5486, 112073, 103826, 16144, 103188, 48154, 15024, 126172, 16995, 104654, 112028, 103129, 117282, 106592, 30832, 64467, 15024, 5486, 30177, 110135, 94923, 7, 115289, 45893, 64531, 109095, 104599, 8, 19732, 80805, 38248, 121, 96452, 108958, 44971, 109793, 11972, 109860, 106084, 30369, 71493, 32131, 99959, 111363, 39880, 107420, 113335, 30512, 102923, 103991, 19732, 20251, 44971, 118928, 94550, 20230, 108167, 17701, 106824, 61689, 9174, 48154, 109834, 103868, 16144, 101182, 24273, 15682, 21043, 66776, 33334, 95221, 117355, 20230, 48154, 37507, 94923, 17297, 65316, 1811, 128001, 128000, 49617, 49617, 198, 9714, 17, 8107, 1811, 59563, 49409, 102669, 106106, 16144, 32335, 16325, 5486, 107805, 71493, 107060, 27384, 105156, 108761, 16144, 23018, 45829, 116294, 102540, 29295, 105047, 11589, 251, 54926, 1811, 116294, 102540, 15682, 103181, 124884, 117120, 22649, 30512, 102923, 116216, 124652, 30590, 20230, 101161, 105, 109115, 29295, 5486, 110924, 102052, 115364, 102625, 114475, 76622, 125639, 102204, 100604, 124121, 117145, 105459, 29295, 23602, 107, 126020, 5486, 116294, 102540, 32977, 124121, 117145, 103306, 110924, 20230, 104650, 17129, 106358, 127211, 105156, 108761, 29295, 104862, 125534, 20230, 27699, 116, 30369, 113009, 124652, 30590, 30512, 120824, 104028, 19732, 14382, 9174, 64121, 103171, 20230, 108895, 119852, 120700, 114318, 118785, 104599, 121944, 115791, 1811, 86127, 127282, 43568, 16144, 48706, 16556, 107991, 105908, 115389, 110276, 1811, 99849, 32977, 72342, 101860, 5486, 112832, 125030, 114598, 99849, 32977, 95001, 112603, 32977, 103470, 5486, 108064, 72661, 109755, 33121, 33334, 16144, 16144, 102532, 123726, 100934, 120266, 127814, 103468, 102189, 97999, 79, 13, 16596, 340, 52884, 125135, 108363, 101682, 108363, 19967, 9174, 85701, 15682, 53900, 102212, 64209, 109904, 102158, 31431, 40526, 16556, 28190, 101828, 102518, 123601, 19967, 15682, 33334, 33334, 17129, 111201, 112844, 19732, 41920, 118821, 115707, 16556, 102158, 103836, 115397, 59739, 15682, 40265, 39177, 123726, 101732, 17792, 126027, 9080, 61304, 71289, 18904, 101067, 108565, 117758, 117811, 16556, 5486, 43240, 9039, 16144, 103984, 28542, 55031, 107805, 71493, 107060, 41642, 115195, 16556, 72718, 105898, 106084, 30926, 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 ]
[ 1811, 32977, 43514, 85791, 25827, 102397, 4916, 242, 115553, 31431, 16556, 91774, 30369, 115789, 125545, 29295, 5486, 119263, 78767, 39880, 91062, 72368, 104650, 72661, 40053, 39177, 127950, 29295, 23039, 78183, 106824, 61689, 1811, 119263, 78767, 39880, 91062, 72368, 104650, 16144, 48864, 117813, 102351, 103195, 103005, 102687, 117940, 13177, 117831, 106633, 15682, 106786, 104346, 20230, 109835, 104028, 104309, 39926, 8239, 96, 33208, 39926, 114732, 102944, 16556, 108048, 30512, 103181, 104699, 113009, 127762, 30358, 20230, 47585, 54926, 109215, 107407, 105272, 115204, 102083, 61689, 1811, 117831, 106633, 15682, 19732, 111243, 119448, 47884, 117598, 48634, 16144, 101182, 102944, 26854, 105879, 5486, 112371, 104328, 115364, 30832, 16556, 105184, 32149, 107436, 64121, 38144, 72315, 101832, 1811, 128001, 128000, 60218, 16786, 121960, 16144, 102803, 52414, 44971, 65575, 30512, 112825, 110904, 20230, 122984, 78434, 9174, 118372, 16144, 113801, 24273, 15682, 17792, 113468, 118969, 75694, 17129, 26854, 50338, 13393, 230, 115991, 33541, 1811, 110382, 77181, 115364, 113727, 24273, 20230, 117989, 76947, 122984, 56051, 16995, 106046, 61689, 125939, 18904, 15682, 8509, 52665, 18655, 73686, 32938, 16144, 109933, 84477, 124905, 61689, 9174, 118372, 102052, 77693, 108422, 33121, 105324, 102802, 13372, 19732, 102181, 50834, 24273, 115991, 33541, 1811, 106773, 121057, 118372, 106156, 76428, 105335, 107446, 118372, 65218, 123716, 20251, 44971, 102860, 101911, 40195, 104989, 20251, 44971, 102860, 101911, 105355, 23039, 109933, 124643, 103993, 64936, 110794, 40862, 16995, 220, 106691, 109904, 105324, 102802, 13372, 15682, 51330, 21, 59739, 220, 115303, 59739, 109669, 59739, 113801, 24273, 104088, 38144, 64121, 17129, 109954, 198, 60868, 121057, 118372, 109517, 115, 16995, 46456, 58942, 16144, 112361, 28542, 20230, 74245, 101911, 30512, 17701, 104028, 1811, 112603, 29295, 17297, 29295, 76947, 50834, 38144, 101911, 20230, 30177, 109835, 39926, 95543, 102404, 127564, 42634, 94550, 76171, 1811, 125173, 102769, 124834, 30832, 118844, 29295, 108729, 109904, 89753, 33121, 38641, 1811, 52884, 108748, 29220, 127564, 5486, 17297, 104989, 20251, 44971, 102860, 20230, 60634, 23039, 54926, 107803, 29295, 127181, 38641, 9174, 44971, 76428, 105335, 107446, 118372, 198, 60868, 121057, 118372, 107118, 95543, 103359, 20230, 5486, 105525, 31431, 121819, 113468, 17297, 29295, 100472, 28542, 30512, 102971, 102802, 5486, 50211, 23039, 101911, 30512, 113801, 33541, 9174, 60868, 121057, 118372, 19732, 5486, 44971, 76428, 105335, 107446, 118372, 30512, 102181, 126145, 111999, 76428, 102677, 50211, 23039, 101911, 16144, 50021, 75267, 29295, 91774, 107290, 50834, 33541, 9174, 116056, 104466, 105525, 31431, 107691, 16995, 30512, 103721, 108, 31431, 104196, 39926, 60632, 105576, 30512, 122635, 54926, 41007, 38641, 1811, 110382, 16556, 15120, 59739, 61633, 17663, 125231, 28542, 15682, 110371, 118372, 15682, 17, 32149, 32938, 16144, 50211, 23039, 16144, 17, 28542, 29295, 23187, 17129, 110104, 48249, 31431, 15682, 102404, 91774, 103082, 107515, 1811, 38641, 105879, 103350, 104983, 102052, 109657, 16144, 17, 32149, 32938, 30512, 18655, 30369, 83799, 115717, 33541, 9174, 17905, 123716, 20251, 44971, 102860, 101911, 198, 65218, 123716, 20251, 44971, 102860, 101911, 15682, 5486, 42634, 38248, 121, 29220, 16144, 17297, 55031, 17, 28542, 30512, 102971, 102802, 58426, 101911, 20230, 117989, 76947, 17297, 29295, 121118, 33503, 42634, 94550, 76171, 54926, 30832, 51385, 19732, 78434, 1811, 42634, 94550, 15682, 108729, 112535, 47260, 103223, 47260, 103223, 19732, 115442, 76947, 23039, 47884, 107803, 29295, 43240, 47884, 5486, 60632, 105184, 103296, 20230, 82973, 29295, 32149, 107277, 33541, 124845, 20251, 44971, 102860, 101911, 126328, 64121, 118158, 107803, 105047, 102936, 54926, 109755, 33121, 115991, 33541, 1811, 115442, 31431, 106307, 105784, 50021, 75267, 16556, 42634, 94550, 30512, 101544, 82973, 69978, 59739, 32149, 5486, 15682, 64121, 36785, 39926, 52884, 108748, 29220, 54926, 25580, 6708, 228, 29295, 37507, 30369, 103296, 75293, 59739, 32149, 125651, 9174, 17297, 104989, 20251, 44971, 102860, 101911, 198, 40195, 104989, 20251, 44971, 102860, 15682, 17905, 123716, 20251, 44971, 102860, 19732, 89151, 116900, 1811, 42634, 38248, 121, 29220, 120938, 55031, 102181, 50834, 33541, 1811, 76739, 52414, 37823, 25005, 251, 114810, 15682, 109657, 113692, 1811, 103768, 103424, 47884, 17905, 34048, 16556, 76739, 52414, 102540, 29295, 103082, 28713, 105110, 81219, 5486, 17297, 104989, 20251, 44971, 102860, 126328, 64121, 20834, 30813, 100604, 48249, 31431, 15682, 103826, 45829, 104088, 28713, 118881, 29295, 104712, 123253, 1811, 20251, 44971, 102860, 101911, 126328, 64121, 20834, 127567, 5486, 111999, 76428, 32149, 17905, 123716, 20251, 44971, 102860, 108176, 60868, 76171, 115717, 33541, 9174, 50211, 23039, 109933, 124643, 198, 105355, 23039, 109933, 124643, 15682, 5486, 17905, 123716, 20251, 44971, 102860, 71289, 17297, 104989, 20251, 44971, 102860, 16556, 50211, 23039, 108176, 28542, 30512, 102971, 102802, 33541, 1811, 50211, 23039, 109933, 124643, 107809, 16556, 103682, 30512, 115376, 127145, 1811, 220, 40195, 104989, 20251, 44971, 102860, 16144, 50211, 23039, 109933, 102750, 114615, 107803, 5486, 120098, 15682, 100783, 239, 120938, 123716, 16325, 16144, 112603, 111044, 29295, 101462, 255, 16995, 30926, 38641, 1811, 78183, 75694, 78183, 75694, 42634, 94550, 30512, 108167, 120650, 47884, 30926, 15682, 103470, 5486, 50211, 23039, 109933, 124643, 20230, 30177, 109835, 54926, 103296, 75293, 59739, 118881, 29295, 126521, 38641, 1811, 43568, 105242, 109933, 124643, 126328, 64121, 121406, 115789, 57903, 33541, 1811, 109657, 29295, 102895, 84477, 76171, 120098, 1811, 65218, 123716, 20251, 44971, 102860, 16325, 16144, 50211, 23039, 109933, 124643, 15682, 116900, 38641, 9174, 46091, 64936, 110794, 40862, 16995, 15682, 22053, 32, 29295, 17620, 107277, 126172, 16995, 38641, 9174, 101678, 112495, 91875, 50834, 16144, 74482, 5486, 112603, 111044, 29295, 110226, 123332, 109768, 47884, 103826, 45829, 29295, 17620, 107277, 33541, 1811, 101911, 126328, 64121, 118158, 33503, 119448, 47884, 52884, 108748, 29220, 54926, 75267, 28190, 29295, 127181, 38641, 9174, 109240, 114810, 44971, 65575, 16144, 61633, 28542, 15682, 5486, 101911, 126328, 64121, 20834, 39926, 52884, 108748, 29220, 56051, 106046, 114598, 114941, 76947, 109749, 107803, 29295, 127181, 30926, 38641, 1811, 101911, 16144, 113801, 24273, 15682, 103633, 104364, 32307, 103283, 1811, 104405, 95604, 125173, 102769, 16144, 106548, 24273, 5486, 76739, 52414, 102540, 16144, 106548, 24273, 104309, 30512, 60632, 105576, 107294, 26854, 102639, 30369, 32149, 15682, 106613, 111186, 113468, 108882, 64121, 30358, 101832, 30369, 67016, 103470, 5486, 32307, 27327, 77181, 124897, 119520, 5486, 30832, 51385, 103306, 15682, 27384, 119178, 107734, 118013, 5486, 103087, 35330, 40452, 30512, 21105, 96, 107277, 109768, 104984, 125173, 102769, 32977, 119467, 47884, 120937, 106046, 61689, 1811, 220, 109240, 114810, 44971, 65575, 15682, 116898, 111201, 103856, 47884, 20251, 44971, 102860, 104088, 59739, 105784, 32149, 29295, 104284, 109972, 38641, 1811, 16, 82973, 102780, 5486, 868, 17620, 102780, 5486, 20, 17620, 102780, 5486, 16, 17620, 102780, 107809, 16556, 110745, 112495, 89753, 33121, 104088, 59739, 59739, 5486, 112603, 111044, 29295, 119448, 47884, 18655, 104028, 24273, 64936, 30512, 106767, 15024, 5486, 76739, 52414, 37823, 25005, 251, 114810, 30512, 104662, 109315, 19967, 101275, 38641, 1811, 128001, 128000, 14711, 108791, 65299, 68759, 78459, 220, 806, 198, 33334, 15682, 101200, 123231, 9174, 102147, 123, 103232, 24775, 16144, 30177, 110135, 94923, 18028, 80805, 38248, 121, 96452, 108958, 44971, 118928, 94550, 34174, 18, 12, 29220, 118028, 103906, 12, 38641, 9174, 34174, 18, 12, 29220, 118028, 103906, 12, 77181, 5486, 108631, 64121, 71289, 110783, 110095, 16144, 119045, 23226, 106594, 16144, 102923, 103991, 71289, 20251, 44971, 118928, 94550, 117824, 76947, 61689, 9174, 114948, 22957, 31431, 9458, 64803, 95598, 114948, 9458, 76208, 95598, 114948, 9458, 115519, 108631, 9458, 108768, 33710, 114676, 9458, 108429, 105068, 9458, 37823, 65299, 68759, 78459, 104309, 20230, 101128, 102, 17129, 110731, 24273, 15682, 43240, 47884, 16995, 104533, 91763, 61689, 9174, 40265, 94923, 77181, 107943, 101128, 102, 64121, 30512, 119045, 112535, 23226, 106594, 9458, 50338, 104662, 54926, 113009, 16144, 102923, 103991, 71289, 20251, 44971, 118928, 94550, 117824, 76947, 61689, 9174, 37823, 65299, 68759, 78459, 16144, 114052, 111571, 112415, 23538, 16144, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 16073, 15682, 97518, 107792, 103378, 29295, 103359, 47523, 126194, 5486, 97518, 107792, 30512, 91875, 32149, 17663, 119049, 16144, 119049, 48634, 103167, 17297, 30512, 103181, 104699, 103846, 105352, 109215, 38641, 9174, 90620, 15024, 5486, 108936, 16144, 114754, 54926, 105933, 119049, 48634, 116825, 105784, 124122, 117401, 15682, 5486, 97518, 107792, 30512, 106266, 106624, 91875, 32149, 17663, 105908, 43240, 47884, 5486, 43568, 22649, 120650, 30297, 19732, 97518, 107792, 30512, 108631, 107436, 114732, 125396, 107407, 103846, 103283, 16144, 41007, 117824, 61689, 9174, 27452, 116285, 5486, 32335, 32977, 108631, 64121, 30512, 112391, 100604, 82912, 16556, 97518, 107792, 30512, 91875, 32149, 30813, 100604, 104466, 124108, 56051, 121894, 16556, 5486, 103302, 102639, 30369, 112169, 71289, 110137, 81219, 17663, 112169, 20230, 123457, 17701, 104028, 104466, 117401, 30512, 78434, 9174, 85701, 15682, 119049, 107079, 16144, 101544, 30813, 30512, 104721, 33208, 107726, 100604, 105879, 198, 13177, 50667, 110261, 34171, 110226, 123332, 117401, 104023, 111090, 102741, 39850, 122148, 48552, 111329, 102083, 61689, 9174, 33671, 20230, 5486, 114052, 111571, 66776, 112415, 23538, 198, 1981, 59739, 109709, 37823, 65299, 68759, 78459, 29295, 120175, 100815, 119188, 39177, 23538, 16144, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 113883, 126362, 30512, 78434, 9174, 114052, 111571, 66776, 112415, 23538, 16144, 37823, 102040, 91482, 37823, 57933, 38248, 115, 78205, 16073, 15682, 5486, 97518, 107792, 16144, 91875, 50834, 71289, 119049, 123457, 18904, 109095, 124545, 106592, 30832, 112535, 23039, 123671, 33541, 9174, 97518, 107792, 16144, 104721, 83799, 30512, 109161, 33208, 107726, 100604, 104466, 61633, 21105, 103, 29295, 33503, 5486, 37656, 102800, 117401, 16144, 41007, 19732, 110219, 16144, 9080, 40053, 104654, 30512, 37705, 30369, 124122, 97518, 107792, 16144, 33655, 16995, 24273, 30512, 96356, 107294, 76622, 33541, 9174, 80988, 116, 103433, 236, 5486, 115519, 103433, 236, 16144, 105150, 127258, 29295, 116748, 103792, 126513, 5486, 101365, 106613, 108502, 104698, 16144, 125396, 107407, 103846, 5486, 103242, 104599, 20230, 50021, 111813, 107001, 106592, 33334, 53508, 100, 62004, 78434, 9174, 97518, 107792, 30512, 91875, 32149, 17663, 105908, 108608, 119318, 116310, 10110, 31540, 91875, 103438, 7705, 29295, 101462, 255, 16995, 39177, 15682, 5486, 97518, 107792, 28190, 20230, 109972, 111600, 29295, 32149, 124403, 104466, 114715, 73686, 42891, 105714, 31431, 106272, 5486, 106644, 121710, 111842, 103302, 102639, 110137, 81219, 15024, 54926, 97518, 107792, 31540, 91875, 103438, 115541, 108710, 117824, 61689, 9174, 91875, 32149, 39926, 108631, 64121, 30512, 112391, 28713, 107803, 102052, 5486, 104840, 109315, 104309, 5486, 126843, 5486, 108631, 64121, 30512, 34208, 102639, 38144, 55031, 97518, 107792, 31540, 91875, 103438, 115541, 108710, 117824, 30297, 104466, 103801, 109954, 9174, 34174, 18, 12, 29220, 118028, 103906, 77181, 112073, 103826, 16144, 30832, 112535, 106608, 100204, 38144, 102923, 103991, 123410, 121142, 103470, 5486, 30832, 105888, 30512, 32335, 106649, 16556, 104067, 13153, 54926, 101399, 16144, 20251, 44971, 118928, 94550, 16144, 39880, 45923, 66953, 112900, 105352, 123457, 17701, 106824, 61689, 9174, 34174, 18, 12, 29220, 118028, 103906, 12, 107118, 111476, 44620, 18, 118821, 105284, 29342, 10965, 36761, 30512, 21405, 127145, 9174, 118075, 34174, 315, 2324, 320, 104654, 16144, 105284, 340, 119560, 34174, 315, 4967, 320, 117401, 16144, 105284, 340, 126892, 34174, 315, 11633, 320, 91875, 50834, 16144, 105284, 340, 112073, 103826, 16144, 9080, 40053, 104654, 20230, 5486, 102923, 103991, 19732, 105284, 16144, 126574, 117401, 30512, 108167, 125639, 100481, 90620, 47884, 118733, 71493, 32131, 99959, 16144, 91875, 50834, 30512, 103424, 47884, 15024, 5486, 104654, 16144, 105284, 30512, 109415, 38144, 102717, 102800, 102677, 124730, 29295, 22957, 32977, 76947, 61689, 9174, 86127, 104067, 15682, 5486, 112073, 103826, 16144, 103188, 48154, 15024, 126172, 16995, 104654, 112028, 103129, 117282, 106592, 30832, 64467, 15024, 5486, 30177, 110135, 94923, 7, 115289, 45893, 64531, 109095, 104599, 8, 19732, 80805, 38248, 121, 96452, 108958, 44971, 109793, 11972, 109860, 106084, 30369, 71493, 32131, 99959, 111363, 39880, 107420, 113335, 30512, 102923, 103991, 19732, 20251, 44971, 118928, 94550, 20230, 108167, 17701, 106824, 61689, 9174, 48154, 109834, 103868, 16144, 101182, 24273, 15682, 21043, 66776, 33334, 95221, 117355, 20230, 48154, 37507, 94923, 17297, 65316, 1811, 128001, 128000, 49617, 49617, 198, 9714, 17, 8107, 1811, 59563, 49409, 102669, 106106, 16144, 32335, 16325, 5486, 107805, 71493, 107060, 27384, 105156, 108761, 16144, 23018, 45829, 116294, 102540, 29295, 105047, 11589, 251, 54926, 1811, 116294, 102540, 15682, 103181, 124884, 117120, 22649, 30512, 102923, 116216, 124652, 30590, 20230, 101161, 105, 109115, 29295, 5486, 110924, 102052, 115364, 102625, 114475, 76622, 125639, 102204, 100604, 124121, 117145, 105459, 29295, 23602, 107, 126020, 5486, 116294, 102540, 32977, 124121, 117145, 103306, 110924, 20230, 104650, 17129, 106358, 127211, 105156, 108761, 29295, 104862, 125534, 20230, 27699, 116, 30369, 113009, 124652, 30590, 30512, 120824, 104028, 19732, 14382, 9174, 64121, 103171, 20230, 108895, 119852, 120700, 114318, 118785, 104599, 121944, 115791, 1811, 86127, 127282, 43568, 16144, 48706, 16556, 107991, 105908, 115389, 110276, 1811, 99849, 32977, 72342, 101860, 5486, 112832, 125030, 114598, 99849, 32977, 95001, 112603, 32977, 103470, 5486, 108064, 72661, 109755, 33121, 33334, 16144, 16144, 102532, 123726, 100934, 120266, 127814, 103468, 102189, 97999, 79, 13, 16596, 340, 52884, 125135, 108363, 101682, 108363, 19967, 9174, 85701, 15682, 53900, 102212, 64209, 109904, 102158, 31431, 40526, 16556, 28190, 101828, 102518, 123601, 19967, 15682, 33334, 33334, 17129, 111201, 112844, 19732, 41920, 118821, 115707, 16556, 102158, 103836, 115397, 59739, 15682, 40265, 39177, 123726, 101732, 17792, 126027, 9080, 61304, 71289, 18904, 101067, 108565, 117758, 117811, 16556, 5486, 43240, 9039, 16144, 103984, 28542, 55031, 107805, 71493, 107060, 41642, 115195, 16556, 72718, 105898, 106084, 30926, 30512 ]
[ 118013, 109415, 100934, 124845, 5486, 108031, 15120, 59739, 15682, 103826, 104680, 26854, 124121, 117145, 105459, 111848, 102158, 31431, 16556, 5486, 117896, 32977, 43240, 9039, 16144, 103984, 28542, 55031, 77693, 108422, 33121, 114284, 16144, 110674, 20230, 53901, 112495, 106592, 102158, 103836, 1811, 59739, 109709, 5486, 110219, 16144, 31809, 108323, 115226, 20230, 5486, 102158, 31431, 46034, 111848, 30590, 16144, 17161, 29295, 30591, 76947, 112258, 113, 106885, 13870, 100, 16556, 106885, 109115, 64810, 37823, 52591, 29295, 30591, 76947, 5486, 115226, 26854, 102158, 31431, 24273, 30512, 109768, 100604, 1811, 104398, 102769, 33121, 16144, 64810, 37823, 52591, 29295, 89046, 26854, 104533, 107404, 15682, 7688, 107, 103302, 16144, 101200, 72661, 101182, 15024, 5486, 64810, 37823, 52591, 16144, 89154, 37823, 108526, 122842, 26854, 110315, 50834, 15682, 115424, 16144, 101200, 72661, 101182, 1811, 108895, 95604, 7688, 107, 103302, 19732, 115424, 16144, 126507, 124366, 105404, 115226, 26854, 102158, 31431, 40526, 15682, 107188, 31431, 117902, 102800, 16144, 111769, 32149, 113637, 52884, 77750, 16556, 99849, 27479, 32977, 102181, 119188, 121640, 5486, 102321, 31640, 122411, 15682, 13177, 99849, 30512, 102158, 30369, 32149, 10646, 126036, 13177, 67645, 119775, 39926, 102158, 30369, 32149, 10646, 20230, 121801, 29295, 22324, 32149, 115032, 123601, 19967, 32977, 77693, 30512, 37689, 109375, 56051, 106942, 19732, 78244, 105262, 108995, 1811, 66378, 20230, 51330, 31809, 108323, 5486, 107805, 71493, 107060, 30512, 104482, 103234, 20230, 21105, 103, 29295, 33503, 32977, 5486, 107805, 71493, 107060, 16144, 103984, 28542, 55031, 102181, 119064, 30512, 17599, 117, 104792, 112535, 111098, 76622, 100934, 110229, 29295, 104712, 1811, 115924, 103359, 20230, 110219, 16144, 102158, 31431, 24273, 77181, 102158, 110104, 108422, 5486, 102677, 104195, 16995, 37689, 95221, 121423, 29295, 108044, 78183, 76947, 109749, 9174, 124121, 117145, 127282, 40265, 85707, 105994, 29295, 102625, 102189, 106592, 104736, 107436, 33334, 121140, 5486, 77062, 118, 44559, 114, 16144, 106592, 13177, 103429, 74396, 66383, 115791, 31431, 5486, 102625, 33014, 16144, 106592, 13177, 103429, 33014, 66383, 115791, 31431, 103792, 1811, 107943, 124121, 117145, 105459, 29295, 36896, 198, 53953, 105284, 29295, 101426, 104856, 76947, 102185, 87447, 47884, 102321, 47523, 10646, 113468, 33671, 104680, 19732, 13153, 6271, 237, 109768, 47884, 110229, 15682, 22656, 19967, 16144, 98499, 64121, 67645, 107404, 112028, 59739, 103378, 120811, 32977, 5486, 102159, 105390, 105352, 104043, 32977, 64209, 20230, 108618, 100472, 104468, 110924, 126194, 5486, 107805, 71493, 107060, 29295, 124652, 30590, 20230, 37507, 38144, 116294, 102540, 16144, 102625, 33014, 30512, 108623, 50834, 15024, 62004, 123334, 30813, 102800, 112690, 30512, 108870, 20230, 9921, 223, 102334, 75267, 28190, 103351, 1811, 124121, 117145, 127282, 77693, 104088, 38144, 127852, 107666, 114475, 105784, 1811, 107943, 106592, 56051, 116537, 37271, 103296, 20230, 16995, 104435, 5486, 105994, 105459, 32977, 103646, 105908, 100604, 114318, 124845, 119568, 33503, 15682, 108895, 32977, 91763, 30297, 66327, 37046, 104680, 15682, 103926, 84389, 100604, 48706, 26854, 105272, 19732, 22023, 100204, 30369, 101200, 101983, 106358, 29295, 5486, 103350, 15682, 102131, 72661, 100604, 32149, 121061, 10646, 7, 79, 13, 2421, 8, 19732, 9174, 112672, 16144, 100909, 106272, 5486, 116537, 102625, 104127, 114604, 33503, 115514, 71869, 29295, 104405, 95604, 78244, 91875, 123410, 104865, 114140, 118765, 1811, 28873, 28713, 39926, 105994, 15682, 103926, 84389, 101732, 104865, 5486, 115514, 71869, 15682, 116292, 15024, 104127, 124089, 104865, 119568, 33503, 125030, 76947, 105994, 15682, 104405, 95604, 48706, 103351, 104865, 1811, 102625, 104127, 114604, 33503, 105243, 110596, 20230, 105037, 236, 16144, 110674, 36785, 1811, 112418, 15682, 127032, 16144, 119400, 121906, 95604, 106592, 95221, 20230, 107113, 105908, 105693, 1811, 105994, 15682, 122013, 55031, 109215, 19732, 84389, 126386, 16144, 111769, 32149, 1811, 102131, 95604, 64209, 55487, 30512, 107113, 1811, 119436, 110276, 37271, 77181, 17663, 42891, 107277, 101790, 99, 62004, 29295, 59739, 102334, 123682, 108048, 72661, 17129, 30591, 5486, 105994, 29295, 67645, 33121, 103378, 103926, 84389, 101732, 32149, 115251, 15682, 95221, 101983, 104533, 107404, 77181, 101182, 113637, 105494, 30512, 98499, 104127, 5486, 113261, 102518, 118116, 9080, 30512, 114284, 20834, 39926, 103435, 238, 32149, 106624, 26854, 100472, 9174, 110229, 16556, 115847, 15682, 102159, 105390, 26854, 91774, 50338, 103378, 120811, 32977, 5486, 1691, 126241, 109156, 76947, 126328, 127164, 122411, 29295, 102616, 122411, 16144, 32335, 61826, 79982, 30512, 102149, 103836, 105933, 116499, 54926, 1811, 112418, 29295, 98499, 102189, 48249, 31431, 77181, 36896, 67645, 119775, 39926, 102158, 30369, 32149, 66383, 95604, 105494, 16556, 49792, 101908, 30512, 118314, 33503, 56051, 106942, 29295, 127181, 1811, 1691, 126241, 85707, 103892, 15682, 5486, 109832, 19967, 70626, 20834, 96356, 16144, 60634, 70821, 18, 101083, 111848, 31809, 108323, 9, 16, 122416, 16556, 102456, 114218, 95221, 103868, 103351, 1811, 110229, 29295, 5486, 118899, 16144, 127164, 122411, 15682, 115856, 76622, 112603, 110214, 20230, 72238, 116366, 114420, 1811, 104405, 39926, 108895, 26854, 100472, 104865, 5486, 114363, 103722, 46729, 16144, 21105, 96, 107277, 56051, 50338, 108323, 29295, 111654, 102800, 106046, 100472, 9174, 9, 16, 25, 53508, 231, 104195, 56051, 103378, 30591, 76947, 112113, 9554, 102052, 44971, 115882, 29295, 45736, 117714, 125743, 106116, 95543, 28190, 5486, 112113, 121142, 102181, 102532, 30369, 105933, 31809, 108323, 29295, 127181, 1811, 98499, 104127, 102532, 13177, 118544, 105352, 109832, 19967, 70626, 122543, 30591, 66383, 91763, 30297, 105908, 43240, 102518, 1811, 128001, 128000, 9, 30537, 20, 18904, 5736, 2, 73028, 119, 30046, 30512, 112727, 110615, 198, 81191, 20713, 44597, 8107, 15682, 123085, 125030, 76947, 5486, 118969, 75694, 17129, 26854, 115552, 113245, 107792, 118322, 8107, 36785, 1811, 126843, 5486, 34617, 9953, 81191, 117816, 13177, 121805, 109673, 60868, 107805, 58721, 10646, 55031, 81191, 123000, 30512, 109169, 107800, 9174, 66115, 9953, 109156, 104533, 5486, 60596, 9080, 102052, 66224, 27113, 18904, 118322, 13177, 108285, 102687, 53229, 108947, 16144, 9080, 10646, 5486, 68093, 9080, 102052, 112361, 47884, 66224, 27113, 18904, 118322, 13177, 101544, 106894, 53229, 108947, 16144, 9080, 10646, 5486, 106307, 102532, 20713, 25963, 9080, 102052, 13177, 109088, 17597, 96, 165, 115, 117, 58911, 16144, 9080, 104743, 101513, 43244, 250, 102936, 123429, 10646, 55031, 34617, 27113, 123000, 30512, 109169, 107800, 9174, 80539, 20713, 44597, 9080, 102052, 5486, 66224, 27113, 18904, 118322, 13177, 105721, 102669, 16144, 9080, 10646, 29295, 120824, 103468, 29295, 110371, 9080, 5486, 115406, 15682, 111344, 16144, 21688, 244, 29504, 101365, 61337, 30512, 74843, 26955, 251, 15024, 5486, 64209, 117758, 55228, 230, 31431, 30512, 15017, 100, 102639, 28713, 9174, 13177, 102433, 16144, 16995, 43514, 81219, 25827, 101544, 16995, 9080, 66383, 16995, 125167, 115638, 36827, 105600, 16144, 106157, 79785, 109935, 29295, 32131, 121714, 16556, 89753, 103468, 9080, 55031, 66224, 27113, 8107, 1811, 102433, 15682, 67645, 119775, 104721, 126325, 56051, 108995, 32149, 1811, 104398, 121867, 28542, 30512, 123680, 102639, 104984, 62903, 37823, 119703, 29295, 110745, 112495, 104721, 33208, 103306, 5486, 102625, 30046, 30512, 117355, 25827, 100204, 30369, 29504, 110276, 105933, 116499, 39926, 105110, 100604, 9174, 102321, 31640, 102433, 77181, 33035, 103309, 32977, 58655, 103283, 29430, 32977, 23039, 124059, 20230, 115514, 33014, 30512, 80699, 101161, 105, 75267, 20230, 74245, 23039, 107726, 38144, 123307, 105368, 54926, 13177, 74245, 101161, 105, 10646, 29295, 89753, 23039, 15024, 5486, 115143, 102052, 115514, 33014, 30512, 123307, 105368, 74482, 5486, 115514, 118954, 30512, 110794, 112454, 121140, 20230, 15017, 101, 38144, 38144, 114732, 13177, 27113, 10110, 108270, 42634, 7705, 101161, 105, 10646, 104309, 102677, 102944, 103296, 29295, 120955, 56051, 9174, 67016, 21105, 103, 29295, 33503, 36896, 74245, 101161, 105, 10646, 71289, 13177, 27113, 101161, 105, 10646, 125001, 111201, 109688, 117126, 26854, 118729, 30512, 10890, 85667, 16556, 107991, 32149, 30512, 53283, 33503, 123207, 105110, 100604, 1811, 101161, 105, 118273, 117824, 124059, 20230, 115514, 33014, 30512, 123307, 105368, 54926, 102677, 23039, 101399, 15682, 13177, 107591, 10646, 17663, 26854, 78183, 43514, 13177, 114516, 113797, 30358, 10646, 20230, 32335, 32977, 95543, 54926, 102944, 116787, 5486, 96452, 78459, 22398, 9458, 90962, 65299, 91062, 9458, 112900, 32131, 91062, 125525, 109098, 27384, 26854, 64209, 16144, 13357, 229, 20230, 33035, 100204, 100934, 9174, 81191, 8107, 25580, 112028, 89046, 16144, 90962, 65299, 91062, 89151, 22649, 100927, 58721, 16144, 74482, 123085, 116537, 15120, 95221, 20230, 13177, 106699, 100927, 118587, 109755, 104028, 101200, 115717, 36896, 101161, 105, 118273, 10646, 111363, 97518, 64209, 32977, 112294, 115737, 107462, 100472, 1811, 32977, 107173, 19732, 13177, 108638, 59657, 232, 16144, 101083, 31640, 117503, 127742, 16144, 115303, 59739, 103306, 106699, 100927, 115389, 16995, 29295, 64467, 112419, 84389, 101732, 29295, 108048, 29295, 102433, 17792, 37087, 33014, 20230, 103682, 82317, 56051, 104466, 91763, 30297, 9174, 102131, 16995, 100472, 104346, 113937, 113115, 39926, 5486, 115406, 15682, 124620, 105243, 110596, 101161, 105, 121359, 102321, 31640, 102181, 102138, 7705, 30512, 17905, 101862, 241, 56051, 1811, 101161, 105, 118273, 113468, 5486, 102422, 16144, 48706, 103195, 863, 17792, 863, 15682, 5486, 43568, 48249, 16144, 48706, 103195, 863, 6271, 237, 863, 121711, 5486, 105243, 110596, 16144, 51609, 30512, 50928, 30369, 118844, 29295, 13177, 13153, 6271, 237, 10646, 103195, 1811, 101161, 105, 118273, 107118, 5486, 100204, 59739, 15682, 13177, 102625, 117503, 64810, 44971, 102494, 117383, 126194, 36896, 16937, 102625, 117503, 64810, 44971, 102494, 117383, 126529, 103195, 1811, 102131, 5486, 116537, 105243, 110596, 20230, 123726, 30369, 113009, 101161, 105, 118273, 117824, 30297, 105272, 66327, 105243, 110596, 10646, 127105, 29295, 101161, 105, 118273, 16144, 112366, 16144, 109713, 64810, 57326, 20251, 116787, 5486, 115406, 15682, 77693, 30512, 13177, 27113, 101161, 105, 10646, 113115, 108324, 54926, 115552, 16556, 13177, 105243, 110596, 101161, 105, 66383, 13372, 109669, 107674, 9174, 122270, 5486, 115406, 15682, 44620, 113723, 101161, 105, 105242, 121359, 46091, 76208, 104517, 7705, 30512, 17905, 101862, 241, 56051, 1811, 60868, 52884, 47307, 78983, 33710, 15682, 13177, 26854, 112371, 114516, 15682, 102625, 30046, 30512, 101067, 30297, 104865, 10646, 103195, 1811, 115406, 16144, 85701, 103296, 16144, 91763, 52084, 71289, 112415, 16144, 43167, 27384, 13153, 117282, 22656, 36785, 9174, 115406, 15682, 5486, 17792, 104770, 16144, 17161, 31958, 32977, 106581, 32977, 106116, 102404, 77413, 16144, 102831, 104792, 102052, 13177, 102625, 30046, 111363, 101067, 16995, 10646, 122291, 19732, 113727, 100934, 1811, 103664, 66224, 32307, 8107, 112772, 5486, 102750, 39880, 111670, 33710, 47307, 64178, 114754, 85707, 107436, 113850, 56965, 16144, 115514, 33014, 20230, 102185, 30512, 15017, 100, 102639, 28713, 110018, 5486, 60868, 33710, 55031, 107461, 20251, 124259, 103130, 33208, 56051, 107173, 91763, 103836, 9174, 58426, 74482, 5486, 17792, 104770, 15682, 102625, 30046, 111363, 103926, 71289, 109755, 33121, 30512, 21405, 102321, 15024, 5486, 83601, 103, 21388, 99750, 30512, 23706, 240, 126172, 103854, 47884, 5486, 106699, 100927, 30512, 21990, 64121, 121216, 5486, 117813, 103991, 106942, 116825, 47884, 31431, 5486, 108396, 30512, 102404, 77413, 107726, 5486, 118969, 75694, 17129, 26854, 102404, 31958, 117824, 100472, 1811, 59739, 109709, 13177, 102625, 10646, 126194, 13177, 101161, 105, 10646, 127105, 5486, 123671, 123671, 16144, 112167, 101399, 112197, 33334, 32977, 104856, 16144, 103195, 9174, 101161, 105, 118273, 15682, 17792, 104770, 16144, 48706, 75146, 114457, 36785, 1811, 101161, 105, 118273, 15682, 5486, 104604, 107707, 117145, 30512, 37705, 30369, 109335, 32977, 43514, 85791, 102189, 29295, 5486, 108618, 103646, 17792, 104680, 16144, 117145, 105352, 76739, 124643, 104603, 11972, 30512, 58318, 107290, 124089, 1811, 110241, 101161, 105, 118273, 29295, 23039, 123671, 123207, 5486, 55487, 115018, 30046, 71289, 127032, 5486, 122013, 16144, 102625, 113468, 115514, 71869, 16144, 64209, 102052, 27384, 112495, 123222, 29295, 87447, 50834, 108948, 27929, 124749, 15682, 37026, 108055, 16144, 89046, 109349, 244, 29295, 72718, 105898, 100909, 108995, 9174, 101161, 105, 118273, 102677, 112167, 64121, 30512, 71289, 62004, 104984, 5486, 114754, 17792, 16556, 103470, 109020, 1811, 101161, 105, 118273, 102677, 71493, 47307, 78459, 15682, 17792, 104770, 16144, 121143, 109988, 30512, 103181, 104699, 53283, 122393, 126529, 103195, 124845, 5486, 102625, 30046, 30512, 13870, 242, 30297, 23039, 101399, 15682, 13177, 107707, 45893, 10646, 58426, 102944, 26854, 105272, 9174, 78183, 28713, 56051, 86614, 5486, 115924, 103359, 20230, 102625, 30046, 30512, 112727, 106824, 15682, 105110, 100604, 1811, 128001, 128000, 567, 116196, 109, 106826, 33014, 111186, 30046, 20230, 127181, 101576, 240, 101734, 117, 198, 112073, 117940, 101576, 240, 101734, 117, 19732, 127173, 104028, 105871, 104735, 248, 103429, 30512, 53283, 76947, 61689, 32149, 95532, 33334, 8107, 108385, 31431, 15682, 5486, 121881, 232, 123160, 118633, 20230, 110456, 103646, 104983, 20230, 5486, 101576, 240, 101734, 117, 108176, 17792, 32977, 127181, 102131, 119627, 31195, 198, 39880, 20251, 93298, 16144, 126513, 5486, 114052, 111571, 105494, 30512, 54322, 22324, 54926, 118733, 5486, 102729, 242, 50834, 31075, 253, 31431, 5486, 101576, 240, 101734, 117, 108176, 126465, 29295, 127181, 19732, 104655, 50834, 33541, 198, 117039, 104088, 111243, 17620, 117295, 121640, 5486, 118801, 101734, 117, 19732, 127173, 104028, 103672, 47260, 104043, 20834, 42891, 105714, 100472, 109304, 223, 108068, 101734, 117, 29295, 5486, 120044, 20230, 102321, 33121, 33541, 198, 53900, 120268, 30813, 26854, 101576, 240, 101734, 117, 29295, 43167, 109709, 110745, 50834, 115737, 107462, 47884, 107803, 32977, 57903, 33541, 198, 103350, 15682, 101576, 240, 101734, 117, 15682, 108008, 20230, 71005, 112586, 47884, 16995, 103429, 95221, 118816, 116216, 61689, 198, 14711, 119630, 104604, 39880, 20251, 93298, 16556, 101576, 240, 101734, 117, 108176, 104865, 95532, 39880, 20251, 93298, 16144, 116388, 34048, 30512, 102729, 242, 50834, 31075, 253, 31431, 5486, 54322, 22324, 109768, 104533, 5486, 110219, 127303, 104984, 114431, 94, 105623, 233, 115717, 5486, 114218, 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 ]
[ 118013, 109415, 100934, 124845, 5486, 108031, 15120, 59739, 15682, 103826, 104680, 26854, 124121, 117145, 105459, 111848, 102158, 31431, 16556, 5486, 117896, 32977, 43240, 9039, 16144, 103984, 28542, 55031, 77693, 108422, 33121, 114284, 16144, 110674, 20230, 53901, 112495, 106592, 102158, 103836, 1811, 59739, 109709, 5486, 110219, 16144, 31809, 108323, 115226, 20230, 5486, 102158, 31431, 46034, 111848, 30590, 16144, 17161, 29295, 30591, 76947, 112258, 113, 106885, 13870, 100, 16556, 106885, 109115, 64810, 37823, 52591, 29295, 30591, 76947, 5486, 115226, 26854, 102158, 31431, 24273, 30512, 109768, 100604, 1811, 104398, 102769, 33121, 16144, 64810, 37823, 52591, 29295, 89046, 26854, 104533, 107404, 15682, 7688, 107, 103302, 16144, 101200, 72661, 101182, 15024, 5486, 64810, 37823, 52591, 16144, 89154, 37823, 108526, 122842, 26854, 110315, 50834, 15682, 115424, 16144, 101200, 72661, 101182, 1811, 108895, 95604, 7688, 107, 103302, 19732, 115424, 16144, 126507, 124366, 105404, 115226, 26854, 102158, 31431, 40526, 15682, 107188, 31431, 117902, 102800, 16144, 111769, 32149, 113637, 52884, 77750, 16556, 99849, 27479, 32977, 102181, 119188, 121640, 5486, 102321, 31640, 122411, 15682, 13177, 99849, 30512, 102158, 30369, 32149, 10646, 126036, 13177, 67645, 119775, 39926, 102158, 30369, 32149, 10646, 20230, 121801, 29295, 22324, 32149, 115032, 123601, 19967, 32977, 77693, 30512, 37689, 109375, 56051, 106942, 19732, 78244, 105262, 108995, 1811, 66378, 20230, 51330, 31809, 108323, 5486, 107805, 71493, 107060, 30512, 104482, 103234, 20230, 21105, 103, 29295, 33503, 32977, 5486, 107805, 71493, 107060, 16144, 103984, 28542, 55031, 102181, 119064, 30512, 17599, 117, 104792, 112535, 111098, 76622, 100934, 110229, 29295, 104712, 1811, 115924, 103359, 20230, 110219, 16144, 102158, 31431, 24273, 77181, 102158, 110104, 108422, 5486, 102677, 104195, 16995, 37689, 95221, 121423, 29295, 108044, 78183, 76947, 109749, 9174, 124121, 117145, 127282, 40265, 85707, 105994, 29295, 102625, 102189, 106592, 104736, 107436, 33334, 121140, 5486, 77062, 118, 44559, 114, 16144, 106592, 13177, 103429, 74396, 66383, 115791, 31431, 5486, 102625, 33014, 16144, 106592, 13177, 103429, 33014, 66383, 115791, 31431, 103792, 1811, 107943, 124121, 117145, 105459, 29295, 36896, 198, 53953, 105284, 29295, 101426, 104856, 76947, 102185, 87447, 47884, 102321, 47523, 10646, 113468, 33671, 104680, 19732, 13153, 6271, 237, 109768, 47884, 110229, 15682, 22656, 19967, 16144, 98499, 64121, 67645, 107404, 112028, 59739, 103378, 120811, 32977, 5486, 102159, 105390, 105352, 104043, 32977, 64209, 20230, 108618, 100472, 104468, 110924, 126194, 5486, 107805, 71493, 107060, 29295, 124652, 30590, 20230, 37507, 38144, 116294, 102540, 16144, 102625, 33014, 30512, 108623, 50834, 15024, 62004, 123334, 30813, 102800, 112690, 30512, 108870, 20230, 9921, 223, 102334, 75267, 28190, 103351, 1811, 124121, 117145, 127282, 77693, 104088, 38144, 127852, 107666, 114475, 105784, 1811, 107943, 106592, 56051, 116537, 37271, 103296, 20230, 16995, 104435, 5486, 105994, 105459, 32977, 103646, 105908, 100604, 114318, 124845, 119568, 33503, 15682, 108895, 32977, 91763, 30297, 66327, 37046, 104680, 15682, 103926, 84389, 100604, 48706, 26854, 105272, 19732, 22023, 100204, 30369, 101200, 101983, 106358, 29295, 5486, 103350, 15682, 102131, 72661, 100604, 32149, 121061, 10646, 7, 79, 13, 2421, 8, 19732, 9174, 112672, 16144, 100909, 106272, 5486, 116537, 102625, 104127, 114604, 33503, 115514, 71869, 29295, 104405, 95604, 78244, 91875, 123410, 104865, 114140, 118765, 1811, 28873, 28713, 39926, 105994, 15682, 103926, 84389, 101732, 104865, 5486, 115514, 71869, 15682, 116292, 15024, 104127, 124089, 104865, 119568, 33503, 125030, 76947, 105994, 15682, 104405, 95604, 48706, 103351, 104865, 1811, 102625, 104127, 114604, 33503, 105243, 110596, 20230, 105037, 236, 16144, 110674, 36785, 1811, 112418, 15682, 127032, 16144, 119400, 121906, 95604, 106592, 95221, 20230, 107113, 105908, 105693, 1811, 105994, 15682, 122013, 55031, 109215, 19732, 84389, 126386, 16144, 111769, 32149, 1811, 102131, 95604, 64209, 55487, 30512, 107113, 1811, 119436, 110276, 37271, 77181, 17663, 42891, 107277, 101790, 99, 62004, 29295, 59739, 102334, 123682, 108048, 72661, 17129, 30591, 5486, 105994, 29295, 67645, 33121, 103378, 103926, 84389, 101732, 32149, 115251, 15682, 95221, 101983, 104533, 107404, 77181, 101182, 113637, 105494, 30512, 98499, 104127, 5486, 113261, 102518, 118116, 9080, 30512, 114284, 20834, 39926, 103435, 238, 32149, 106624, 26854, 100472, 9174, 110229, 16556, 115847, 15682, 102159, 105390, 26854, 91774, 50338, 103378, 120811, 32977, 5486, 1691, 126241, 109156, 76947, 126328, 127164, 122411, 29295, 102616, 122411, 16144, 32335, 61826, 79982, 30512, 102149, 103836, 105933, 116499, 54926, 1811, 112418, 29295, 98499, 102189, 48249, 31431, 77181, 36896, 67645, 119775, 39926, 102158, 30369, 32149, 66383, 95604, 105494, 16556, 49792, 101908, 30512, 118314, 33503, 56051, 106942, 29295, 127181, 1811, 1691, 126241, 85707, 103892, 15682, 5486, 109832, 19967, 70626, 20834, 96356, 16144, 60634, 70821, 18, 101083, 111848, 31809, 108323, 9, 16, 122416, 16556, 102456, 114218, 95221, 103868, 103351, 1811, 110229, 29295, 5486, 118899, 16144, 127164, 122411, 15682, 115856, 76622, 112603, 110214, 20230, 72238, 116366, 114420, 1811, 104405, 39926, 108895, 26854, 100472, 104865, 5486, 114363, 103722, 46729, 16144, 21105, 96, 107277, 56051, 50338, 108323, 29295, 111654, 102800, 106046, 100472, 9174, 9, 16, 25, 53508, 231, 104195, 56051, 103378, 30591, 76947, 112113, 9554, 102052, 44971, 115882, 29295, 45736, 117714, 125743, 106116, 95543, 28190, 5486, 112113, 121142, 102181, 102532, 30369, 105933, 31809, 108323, 29295, 127181, 1811, 98499, 104127, 102532, 13177, 118544, 105352, 109832, 19967, 70626, 122543, 30591, 66383, 91763, 30297, 105908, 43240, 102518, 1811, 128001, 128000, 9, 30537, 20, 18904, 5736, 2, 73028, 119, 30046, 30512, 112727, 110615, 198, 81191, 20713, 44597, 8107, 15682, 123085, 125030, 76947, 5486, 118969, 75694, 17129, 26854, 115552, 113245, 107792, 118322, 8107, 36785, 1811, 126843, 5486, 34617, 9953, 81191, 117816, 13177, 121805, 109673, 60868, 107805, 58721, 10646, 55031, 81191, 123000, 30512, 109169, 107800, 9174, 66115, 9953, 109156, 104533, 5486, 60596, 9080, 102052, 66224, 27113, 18904, 118322, 13177, 108285, 102687, 53229, 108947, 16144, 9080, 10646, 5486, 68093, 9080, 102052, 112361, 47884, 66224, 27113, 18904, 118322, 13177, 101544, 106894, 53229, 108947, 16144, 9080, 10646, 5486, 106307, 102532, 20713, 25963, 9080, 102052, 13177, 109088, 17597, 96, 165, 115, 117, 58911, 16144, 9080, 104743, 101513, 43244, 250, 102936, 123429, 10646, 55031, 34617, 27113, 123000, 30512, 109169, 107800, 9174, 80539, 20713, 44597, 9080, 102052, 5486, 66224, 27113, 18904, 118322, 13177, 105721, 102669, 16144, 9080, 10646, 29295, 120824, 103468, 29295, 110371, 9080, 5486, 115406, 15682, 111344, 16144, 21688, 244, 29504, 101365, 61337, 30512, 74843, 26955, 251, 15024, 5486, 64209, 117758, 55228, 230, 31431, 30512, 15017, 100, 102639, 28713, 9174, 13177, 102433, 16144, 16995, 43514, 81219, 25827, 101544, 16995, 9080, 66383, 16995, 125167, 115638, 36827, 105600, 16144, 106157, 79785, 109935, 29295, 32131, 121714, 16556, 89753, 103468, 9080, 55031, 66224, 27113, 8107, 1811, 102433, 15682, 67645, 119775, 104721, 126325, 56051, 108995, 32149, 1811, 104398, 121867, 28542, 30512, 123680, 102639, 104984, 62903, 37823, 119703, 29295, 110745, 112495, 104721, 33208, 103306, 5486, 102625, 30046, 30512, 117355, 25827, 100204, 30369, 29504, 110276, 105933, 116499, 39926, 105110, 100604, 9174, 102321, 31640, 102433, 77181, 33035, 103309, 32977, 58655, 103283, 29430, 32977, 23039, 124059, 20230, 115514, 33014, 30512, 80699, 101161, 105, 75267, 20230, 74245, 23039, 107726, 38144, 123307, 105368, 54926, 13177, 74245, 101161, 105, 10646, 29295, 89753, 23039, 15024, 5486, 115143, 102052, 115514, 33014, 30512, 123307, 105368, 74482, 5486, 115514, 118954, 30512, 110794, 112454, 121140, 20230, 15017, 101, 38144, 38144, 114732, 13177, 27113, 10110, 108270, 42634, 7705, 101161, 105, 10646, 104309, 102677, 102944, 103296, 29295, 120955, 56051, 9174, 67016, 21105, 103, 29295, 33503, 36896, 74245, 101161, 105, 10646, 71289, 13177, 27113, 101161, 105, 10646, 125001, 111201, 109688, 117126, 26854, 118729, 30512, 10890, 85667, 16556, 107991, 32149, 30512, 53283, 33503, 123207, 105110, 100604, 1811, 101161, 105, 118273, 117824, 124059, 20230, 115514, 33014, 30512, 123307, 105368, 54926, 102677, 23039, 101399, 15682, 13177, 107591, 10646, 17663, 26854, 78183, 43514, 13177, 114516, 113797, 30358, 10646, 20230, 32335, 32977, 95543, 54926, 102944, 116787, 5486, 96452, 78459, 22398, 9458, 90962, 65299, 91062, 9458, 112900, 32131, 91062, 125525, 109098, 27384, 26854, 64209, 16144, 13357, 229, 20230, 33035, 100204, 100934, 9174, 81191, 8107, 25580, 112028, 89046, 16144, 90962, 65299, 91062, 89151, 22649, 100927, 58721, 16144, 74482, 123085, 116537, 15120, 95221, 20230, 13177, 106699, 100927, 118587, 109755, 104028, 101200, 115717, 36896, 101161, 105, 118273, 10646, 111363, 97518, 64209, 32977, 112294, 115737, 107462, 100472, 1811, 32977, 107173, 19732, 13177, 108638, 59657, 232, 16144, 101083, 31640, 117503, 127742, 16144, 115303, 59739, 103306, 106699, 100927, 115389, 16995, 29295, 64467, 112419, 84389, 101732, 29295, 108048, 29295, 102433, 17792, 37087, 33014, 20230, 103682, 82317, 56051, 104466, 91763, 30297, 9174, 102131, 16995, 100472, 104346, 113937, 113115, 39926, 5486, 115406, 15682, 124620, 105243, 110596, 101161, 105, 121359, 102321, 31640, 102181, 102138, 7705, 30512, 17905, 101862, 241, 56051, 1811, 101161, 105, 118273, 113468, 5486, 102422, 16144, 48706, 103195, 863, 17792, 863, 15682, 5486, 43568, 48249, 16144, 48706, 103195, 863, 6271, 237, 863, 121711, 5486, 105243, 110596, 16144, 51609, 30512, 50928, 30369, 118844, 29295, 13177, 13153, 6271, 237, 10646, 103195, 1811, 101161, 105, 118273, 107118, 5486, 100204, 59739, 15682, 13177, 102625, 117503, 64810, 44971, 102494, 117383, 126194, 36896, 16937, 102625, 117503, 64810, 44971, 102494, 117383, 126529, 103195, 1811, 102131, 5486, 116537, 105243, 110596, 20230, 123726, 30369, 113009, 101161, 105, 118273, 117824, 30297, 105272, 66327, 105243, 110596, 10646, 127105, 29295, 101161, 105, 118273, 16144, 112366, 16144, 109713, 64810, 57326, 20251, 116787, 5486, 115406, 15682, 77693, 30512, 13177, 27113, 101161, 105, 10646, 113115, 108324, 54926, 115552, 16556, 13177, 105243, 110596, 101161, 105, 66383, 13372, 109669, 107674, 9174, 122270, 5486, 115406, 15682, 44620, 113723, 101161, 105, 105242, 121359, 46091, 76208, 104517, 7705, 30512, 17905, 101862, 241, 56051, 1811, 60868, 52884, 47307, 78983, 33710, 15682, 13177, 26854, 112371, 114516, 15682, 102625, 30046, 30512, 101067, 30297, 104865, 10646, 103195, 1811, 115406, 16144, 85701, 103296, 16144, 91763, 52084, 71289, 112415, 16144, 43167, 27384, 13153, 117282, 22656, 36785, 9174, 115406, 15682, 5486, 17792, 104770, 16144, 17161, 31958, 32977, 106581, 32977, 106116, 102404, 77413, 16144, 102831, 104792, 102052, 13177, 102625, 30046, 111363, 101067, 16995, 10646, 122291, 19732, 113727, 100934, 1811, 103664, 66224, 32307, 8107, 112772, 5486, 102750, 39880, 111670, 33710, 47307, 64178, 114754, 85707, 107436, 113850, 56965, 16144, 115514, 33014, 20230, 102185, 30512, 15017, 100, 102639, 28713, 110018, 5486, 60868, 33710, 55031, 107461, 20251, 124259, 103130, 33208, 56051, 107173, 91763, 103836, 9174, 58426, 74482, 5486, 17792, 104770, 15682, 102625, 30046, 111363, 103926, 71289, 109755, 33121, 30512, 21405, 102321, 15024, 5486, 83601, 103, 21388, 99750, 30512, 23706, 240, 126172, 103854, 47884, 5486, 106699, 100927, 30512, 21990, 64121, 121216, 5486, 117813, 103991, 106942, 116825, 47884, 31431, 5486, 108396, 30512, 102404, 77413, 107726, 5486, 118969, 75694, 17129, 26854, 102404, 31958, 117824, 100472, 1811, 59739, 109709, 13177, 102625, 10646, 126194, 13177, 101161, 105, 10646, 127105, 5486, 123671, 123671, 16144, 112167, 101399, 112197, 33334, 32977, 104856, 16144, 103195, 9174, 101161, 105, 118273, 15682, 17792, 104770, 16144, 48706, 75146, 114457, 36785, 1811, 101161, 105, 118273, 15682, 5486, 104604, 107707, 117145, 30512, 37705, 30369, 109335, 32977, 43514, 85791, 102189, 29295, 5486, 108618, 103646, 17792, 104680, 16144, 117145, 105352, 76739, 124643, 104603, 11972, 30512, 58318, 107290, 124089, 1811, 110241, 101161, 105, 118273, 29295, 23039, 123671, 123207, 5486, 55487, 115018, 30046, 71289, 127032, 5486, 122013, 16144, 102625, 113468, 115514, 71869, 16144, 64209, 102052, 27384, 112495, 123222, 29295, 87447, 50834, 108948, 27929, 124749, 15682, 37026, 108055, 16144, 89046, 109349, 244, 29295, 72718, 105898, 100909, 108995, 9174, 101161, 105, 118273, 102677, 112167, 64121, 30512, 71289, 62004, 104984, 5486, 114754, 17792, 16556, 103470, 109020, 1811, 101161, 105, 118273, 102677, 71493, 47307, 78459, 15682, 17792, 104770, 16144, 121143, 109988, 30512, 103181, 104699, 53283, 122393, 126529, 103195, 124845, 5486, 102625, 30046, 30512, 13870, 242, 30297, 23039, 101399, 15682, 13177, 107707, 45893, 10646, 58426, 102944, 26854, 105272, 9174, 78183, 28713, 56051, 86614, 5486, 115924, 103359, 20230, 102625, 30046, 30512, 112727, 106824, 15682, 105110, 100604, 1811, 128001, 128000, 567, 116196, 109, 106826, 33014, 111186, 30046, 20230, 127181, 101576, 240, 101734, 117, 198, 112073, 117940, 101576, 240, 101734, 117, 19732, 127173, 104028, 105871, 104735, 248, 103429, 30512, 53283, 76947, 61689, 32149, 95532, 33334, 8107, 108385, 31431, 15682, 5486, 121881, 232, 123160, 118633, 20230, 110456, 103646, 104983, 20230, 5486, 101576, 240, 101734, 117, 108176, 17792, 32977, 127181, 102131, 119627, 31195, 198, 39880, 20251, 93298, 16144, 126513, 5486, 114052, 111571, 105494, 30512, 54322, 22324, 54926, 118733, 5486, 102729, 242, 50834, 31075, 253, 31431, 5486, 101576, 240, 101734, 117, 108176, 126465, 29295, 127181, 19732, 104655, 50834, 33541, 198, 117039, 104088, 111243, 17620, 117295, 121640, 5486, 118801, 101734, 117, 19732, 127173, 104028, 103672, 47260, 104043, 20834, 42891, 105714, 100472, 109304, 223, 108068, 101734, 117, 29295, 5486, 120044, 20230, 102321, 33121, 33541, 198, 53900, 120268, 30813, 26854, 101576, 240, 101734, 117, 29295, 43167, 109709, 110745, 50834, 115737, 107462, 47884, 107803, 32977, 57903, 33541, 198, 103350, 15682, 101576, 240, 101734, 117, 15682, 108008, 20230, 71005, 112586, 47884, 16995, 103429, 95221, 118816, 116216, 61689, 198, 14711, 119630, 104604, 39880, 20251, 93298, 16556, 101576, 240, 101734, 117, 108176, 104865, 95532, 39880, 20251, 93298, 16144, 116388, 34048, 30512, 102729, 242, 50834, 31075, 253, 31431, 5486, 54322, 22324, 109768, 104533, 5486, 110219, 127303, 104984, 114431, 94, 105623, 233, 115717, 5486, 114218, 29295 ]
[ 119962, 100204, 100481, 50834, 33541, 198, 110229, 29295, 5486, 19012, 119, 102532, 32977, 112185, 114052, 111571, 29295, 71005, 17129, 107462, 100604, 107803, 5486, 111694, 34048, 55031, 107805, 80805, 107654, 104309, 125334, 38144, 50834, 33541, 198, 102131, 112990, 5486, 118801, 101734, 117, 103397, 115717, 5486, 25197, 103672, 19732, 112361, 105933, 91774, 28713, 30832, 117084, 61689, 198, 109835, 100472, 112391, 15682, 5486, 107608, 16995, 109304, 223, 108068, 101734, 117, 115226, 26854, 121894, 38641, 198, 122270, 5486, 106826, 42634, 114265, 30512, 59657, 245, 121140, 20230, 54322, 22324, 109768, 104533, 5486, 41642, 31431, 32977, 19012, 119, 47884, 118733, 5486, 111571, 103397, 29295, 109161, 33208, 109768, 50834, 5486, 122270, 17039, 28713, 26854, 101576, 240, 101734, 117, 125334, 38144, 50834, 33541, 198, 108895, 26854, 104533, 5486, 91774, 28713, 30832, 32977, 32335, 109161, 1811, 101576, 240, 30813, 15682, 39880, 20251, 93298, 71689, 101983, 107462, 50834, 33541, 198, 103350, 15682, 5486, 101576, 240, 101734, 117, 109853, 15682, 113385, 29295, 16937, 31958, 19732, 110731, 16144, 119627, 115515, 16144, 110229, 31195, 198, 73686, 42891, 19012, 119, 50834, 114218, 55031, 104398, 115686, 29295, 124629, 22957, 64121, 101576, 240, 101734, 117, 119012, 198, 107805, 80805, 107654, 71289, 5486, 104398, 112506, 107654, 5486, 106384, 52884, 107805, 104309, 29295, 122333, 20230, 106518, 20834, 84389, 5486, 36117, 95, 33121, 104196, 100472, 121894, 101983, 103836, 198, 104309, 29295, 123680, 102639, 102204, 33541, 198, 14711, 122163, 111186, 56051, 16325, 77181, 96452, 42634, 112164, 102860, 29295, 32335, 104195, 198, 110219, 5486, 101576, 240, 101734, 117, 16556, 105871, 104735, 248, 70626, 120650, 126145, 5486, 124807, 39880, 47260, 84477, 71289, 117429, 102494, 102832, 84477, 5486, 76428, 52591, 32131, 64178, 104309, 102083, 100472, 5486, 32335, 104195, 16144, 34048, 104770, 20230, 103204, 54926, 106826, 42634, 114265, 122279, 104735, 237, 29295, 117120, 24273, 84389, 33541, 198, 100845, 115, 16995, 107803, 118816, 5486, 32943, 44309, 106826, 42634, 114265, 30512, 44309, 11883, 21105, 103, 47884, 38144, 15682, 105110, 100604, 126465, 32977, 57903, 33541, 198, 53900, 5486, 59614, 101860, 108324, 39880, 44971, 33710, 104603, 11972, 21403, 97, 15682, 117120, 24273, 107001, 118733, 109954, 198, 110229, 29295, 5486, 101576, 240, 101734, 117, 102052, 106826, 42634, 114265, 30512, 59657, 245, 114598, 30591, 109709, 8239, 114503, 119703, 104466, 91763, 58942, 33541, 198, 126843, 111694, 34048, 55031, 5486, 107805, 80805, 107654, 125334, 100934, 103846, 31195, 59657, 245, 114598, 89753, 33121, 120175, 33541, 198, 108324, 39880, 44971, 33710, 104603, 11972, 21403, 97, 32977, 5486, 95221, 105677, 62004, 113314, 20230, 67016, 126120, 50834, 107515, 198, 53900, 5486, 32943, 44309, 106826, 42634, 114265, 15682, 5486, 105184, 111201, 8239, 114503, 32977, 101182, 16144, 119627, 5486, 106966, 113266, 30512, 78698, 101557, 106, 39926, 5486, 117120, 24273, 84389, 111243, 34617, 9080, 17620, 113314, 67016, 80631, 108, 58942, 107515, 198, 112672, 5486, 101576, 240, 101734, 117, 37087, 38144, 103698, 114758, 117084, 100604, 121894, 55031, 5486, 106826, 42634, 114265, 122279, 104735, 237, 20230, 104721, 105262, 113334, 38641, 55031, 121270, 108968, 103268, 79982, 20230, 108618, 31431, 33541, 198, 102159, 105390, 26854, 33014, 111186, 115717, 33541, 29295, 112160, 87217, 8239, 114503, 9554, 103351, 104468, 5486, 96452, 42634, 112164, 102860, 111848, 101426, 71005, 109519, 115717, 33541, 198, 96452, 42634, 112164, 102860, 23042, 33, 15682, 121270, 103682, 101544, 117508, 48915, 101911, 16144, 108761, 103438, 20230, 96412, 17129, 104028, 108008, 20230, 111044, 16144, 101462, 255, 16995, 103682, 101544, 10110, 15134, 38121, 17, 20211, 120732, 117508, 48915, 101911, 16556, 110371, 103682, 101544, 16144, 117508, 48915, 101911, 29295, 117382, 16144, 102473, 113702, 55031, 119455, 23706, 105, 20230, 19361, 126120, 103195, 105908, 31958, 33503, 32149, 104856, 107462, 79721, 198, 126229, 7705, 96452, 42634, 112164, 102860, 1569, 113, 117669, 124944, 107118, 95532, 106826, 42634, 114265, 30512, 16995, 126910, 59657, 245, 114598, 103672, 47260, 103672, 47260, 39926, 71005, 33503, 104435, 101576, 240, 101734, 117, 29295, 5486, 103001, 246, 119775, 33420, 107800, 16144, 38641, 198, 90620, 31195, 17701, 94923, 16325, 16144, 71005, 109519, 103351, 103846, 5486, 121410, 9080, 101426, 101911, 30512, 118959, 102802, 103468, 16144, 119627, 5486, 33035, 94923, 118816, 111299, 20230, 25963, 18904, 55031, 34617, 18904, 113314, 115717, 33541, 128001, 128000, 2, 112238, 60868, 109529, 98499, 109853, 198, 115406, 19732, 55999, 20230, 112562, 30512, 112854, 17129, 109768, 26854, 65316, 198, 68759, 107507, 220, 1627, 25, 1987, 198, 51330, 23964, 229, 32938, 15682, 5486, 25197, 76739, 117718, 115941, 60868, 44971, 91062, 17701, 60174, 16144, 113838, 78244, 103306, 121453, 103664, 110776, 102181, 20230, 117811, 116216, 61689, 1811, 80631, 100, 102800, 10110, 45736, 104369, 110104, 7705, 101538, 10110, 39850, 114741, 119735, 108048, 103296, 16144, 39850, 114741, 113838, 78244, 102052, 91774, 102204, 100604, 31634, 72238, 38641, 9174, 57207, 110191, 20230, 37507, 30369, 101538, 15682, 36896, 101365, 20230, 123532, 16995, 5486, 104284, 60632, 30512, 58318, 58942, 109115, 30046, 126557, 17663, 26854, 78183, 43514, 5486, 101365, 20230, 108057, 125167, 30046, 16556, 5486, 105037, 247, 30250, 250, 20230, 102416, 31431, 108112, 31431, 122603, 104369, 30369, 105908, 124897, 55031, 5486, 103803, 126194, 13177, 85791, 81219, 20230, 110498, 76947, 10646, 37507, 33541, 66327, 25132, 234, 85791, 81219, 117255, 10646, 15682, 5486, 101538, 29295, 32977, 127567, 17663, 122393, 64121, 16144, 119515, 32149, 30813, 30512, 30591, 33503, 78183, 127145, 59459, 109832, 101083, 61304, 2491, 25, 806, 23954, 50211, 34208, 15682, 101538, 16144, 28037, 37507, 55031, 27704, 109709, 33541, 29295, 5486, 50211, 34208, 30512, 113638, 50834, 122765, 30369, 48634, 15682, 101365, 117083, 16144, 38641, 9174, 110776, 102181, 16556, 13177, 124121, 66383, 103359, 57106, 39926, 13177, 107079, 66383, 95604, 102158, 29295, 33655, 126832, 107803, 36896, 107079, 10646, 15682, 13177, 114516, 109904, 102944, 66383, 16995, 100472, 115552, 115717, 33541, 66327, 107079, 66383, 15682, 5486, 101365, 20230, 64209, 30512, 70141, 76622, 101860, 20230, 5486, 105994, 116907, 16144, 114516, 109904, 48634, 71289, 125396, 20230, 117943, 103950, 117408, 123726, 24273, 16556, 5486, 114754, 109683, 20230, 102647, 104369, 123726, 24273, 38641, 1811, 103359, 39926, 13177, 124121, 113468, 66383, 15682, 5486, 101365, 117758, 48634, 20230, 117943, 30369, 123726, 24273, 16144, 100909, 38641, 9174, 78183, 28713, 56051, 43514, 29295, 36896, 124121, 113468, 10646, 123726, 30369, 105908, 108608, 104468, 36896, 107079, 10646, 111848, 123726, 24273, 16144, 35894, 21105, 243, 30512, 20379, 15024, 5486, 101365, 117758, 48634, 113468, 123726, 30369, 110783, 30512, 5486, 96356, 30512, 32977, 76947, 20379, 103646, 5486, 109095, 76706, 16144, 62903, 124766, 112197, 32149, 102639, 126529, 38641, 9174, 114516, 15682, 36896, 124121, 118587, 111764, 20230, 106121, 30369, 109335, 103082, 107515, 66327, 124121, 10646, 29295, 5486, 78183, 28713, 56051, 43514, 16144, 113009, 13177, 33014, 16144, 106548, 101275, 30512, 115924, 59739, 117503, 38641, 66327, 101365, 16144, 124121, 113468, 106839, 32149, 104028, 30046, 15682, 112073, 5486, 101365, 117255, 126529, 38641, 116326, 42634, 108941, 23, 25, 975, 7705, 19732, 101182, 104466, 5486, 78183, 28713, 56051, 43514, 29295, 17663, 125231, 109335, 5486, 101365, 16144, 124121, 16144, 122502, 50834, 30512, 100525, 101, 104698, 21105, 103, 16995, 100909, 38641, 9174, 37271, 18904, 16144, 109529, 98499, 23964, 229, 32938, 16144, 25580, 74482, 102052, 5486, 25197, 76739, 22398, 29295, 108152, 99959, 104930, 17792, 55031, 120853, 115924, 107001, 127749, 29295, 110240, 32149, 106824, 61689, 1811, 17792, 104680, 16144, 43568, 113954, 107809, 72661, 5486, 25197, 76739, 22398, 29295, 101365, 20230, 83812, 249, 58666, 30512, 30813, 30813, 102639, 30369, 105908, 108608, 104468, 5486, 101365, 30512, 30591, 33503, 78183, 17663, 30046, 103306, 16144, 116907, 16144, 23039, 16995, 29295, 36896, 109088, 64209, 20230, 109431, 30297, 100909, 10646, 118816, 53283, 103836, 55031, 38641, 9174, 13177, 53283, 122393, 101182, 30046, 71289, 126053, 16995, 30046, 66383, 15682, 5486, 25197, 76739, 22398, 30512, 104736, 62004, 101200, 19732, 21105, 103, 16995, 108152, 99959, 104930, 17792, 5486, 66378, 20230, 104774, 37823, 109054, 105647, 124911, 104680, 16144, 100909, 119627, 5486, 115364, 48634, 16556, 108057, 119178, 104067, 119607, 117408, 30591, 109709, 5486, 25197, 76739, 22398, 29295, 20379, 17663, 101365, 16144, 125525, 103005, 79785, 114475, 76622, 17701, 104028, 105908, 103082, 105823, 104127, 56051, 1811, 78183, 28713, 56051, 43514, 32977, 5486, 114516, 103306, 16144, 53283, 122393, 71289, 126053, 30813, 30512, 15017, 101, 38144, 38144, 13177, 113261, 45829, 120950, 30046, 10646, 115717, 5486, 101365, 20230, 104655, 32149, 101832, 81219, 26854, 31431, 107515, 9174, 40265, 125344, 108152, 99959, 104930, 100927, 64467, 106839, 30046, 15682, 5486, 101365, 55031, 114516, 20230, 58318, 58942, 109115, 13177, 100818, 249, 10110, 47884, 102802, 50834, 7705, 10646, 103306, 104063, 25333, 30250, 113, 106154, 30512, 32018, 62004, 5486, 105994, 105459, 29295, 104063, 25333, 30512, 103350, 23039, 103792, 106592, 45918, 229, 31431, 5486, 104063, 25333, 30512, 28873, 28713, 72342, 100604, 112294, 16995, 30046, 15682, 101365, 16144, 108057, 16995, 55031, 21418, 48915, 107001, 125231, 118816, 113727, 100481, 79721, 1811, 101365, 16144, 13177, 109088, 64209, 20230, 109431, 30297, 100909, 10110, 101365, 16144, 82420, 55723, 16144, 117591, 117083, 106084, 30926, 7705, 10646, 30512, 53283, 30369, 25197, 76739, 22398, 15682, 110371, 105933, 13177, 30358, 111600, 118587, 109972, 78183, 84389, 127814, 33121, 28873, 38144, 28713, 17792, 104680, 20230, 5486, 105184, 22023, 114792, 76947, 13177, 105677, 105823, 38144, 122765, 101200, 66383, 102158, 31431, 104394, 32149, 103468, 16144, 38641, 9174, 25197, 76739, 22398, 29295, 96356, 30512, 32977, 76947, 20379, 103646, 13177, 115289, 34208, 16556, 105037, 247, 30250, 250, 26854, 30046, 66383, 15682, 5486, 101365, 16144, 30591, 123671, 64121, 20230, 22023, 117943, 39926, 5486, 115364, 104195, 30813, 30512, 45918, 229, 110104, 107707, 100909, 38641, 124845, 5486, 25197, 76739, 117718, 13177, 100818, 249, 10646, 29295, 109972, 114774, 17663, 47884, 117355, 16995, 104468, 5486, 101365, 16144, 114284, 30512, 53283, 30369, 25197, 76739, 22398, 29295, 5486, 109203, 16556, 126419, 20230, 105068, 109972, 76947, 124089, 55031, 38641, 1811, 25197, 76739, 22398, 20230, 48864, 102802, 5486, 25197, 76739, 22398, 20230, 102780, 105360, 64121, 30512, 21441, 225, 105262, 123726, 24273, 107809, 20230, 5486, 51385, 33503, 105557, 107407, 16144, 38641, 9174, 102181, 108847, 44620, 62903, 124766, 111363, 17039, 102800, 45893, 36761, 198, 102700, 25, 62903, 124766, 66953, 33710, 9458, 66953, 37823, 78205, 125864, 78349, 103672, 101365, 104503, 198, 102181, 108847, 44620, 36668, 117073, 110776, 102181, 50338, 108323, 36761, 198, 102700, 25, 106786, 106496, 115160, 101365, 104503, 198, 121410, 111299, 91082, 117073, 101198, 60868, 113699, 33655, 126832, 119752, 45829, 16556, 5486, 101198, 60868, 16556, 109529, 98499, 107001, 110776, 102181, 23964, 229, 32938, 32977, 102181, 32149, 106824, 61689, 1811, 118028, 76739, 107446, 106699, 100927, 121224, 220, 55031, 102404, 23039, 116216, 108086, 5486, 9039, 111299, 61826, 16144, 102944, 103296, 102208, 100927, 38093, 20230, 22324, 102532, 57903, 33541, 105879, 108948, 60358, 119064, 71493, 122148, 48552, 100927, 38093, 126250, 33334, 32018, 62004, 72315, 1811, 128001, 128000, 118288, 9080, 15682, 118116, 24, 13, 806, 55031, 717, 8107, 1811, 108031, 717, 8107, 32977, 106613, 103836, 102677, 120266, 121602, 102334, 1811, 106222, 17792, 17, 8107, 30832, 103351, 107188, 109807, 107404, 15682, 46729, 20230, 111926, 32977, 30591, 76947, 5486, 117876, 55031, 112454, 76947, 50834, 38144, 111926, 116825, 107674, 33503, 5486, 43514, 107106, 67645, 17, 101513, 118322, 107850, 23039, 101513, 29295, 91482, 33710, 20230, 104584, 42891, 104526, 104004, 112661, 56965, 103351, 16144, 30512, 112854, 58942, 100934, 1811, 102321, 103350, 26854, 104865, 5486, 111926, 120706, 16144, 115303, 59739, 26854, 104865, 16995, 17129, 16995, 43514, 78183, 55031, 104435, 107493, 5486, 111926, 55031, 108044, 78183, 76947, 109749, 102769, 117598, 56051, 39880, 96452, 65299, 107446, 20230, 108149, 108861, 85701, 112987, 17129, 125119, 103836, 100909, 113461, 104856, 25827, 110162, 113954, 54926, 105908, 103082, 28713, 1811, 18, 13, 806, 32977, 30590, 110441, 15682, 33014, 99750, 56051, 107493, 106719, 103682, 16144, 106482, 66201, 15682, 15120, 33014, 99849, 29295, 125119, 103836, 104865, 30297, 17129, 47884, 115320, 64121, 104526, 62004, 104435, 1811, 91763, 78183, 112179, 109335, 108064, 120885, 91763, 78183, 112179, 107507, 101198, 94550, 16556, 125119, 30369, 9174, 24, 13, 806, 16144, 114715, 25580, 5486, 105140, 105677, 64121, 107898, 16995, 33503, 15682, 123283, 112164, 120523, 30512, 107113, 109807, 110018, 20230, 78459, 113821, 46034, 55487, 104309, 16556, 33334, 101083, 87177, 20230, 110276, 120523, 108695, 16144, 58850, 117255, 19732, 115320, 64121, 120650, 100472, 31431, 107113, 105879, 5486, 37656, 95221, 20230, 114941, 76947, 55031, 114225, 20230, 58426, 45829, 20230, 89046, 117139, 56051, 100909, 17129, 77181, 112854, 58942, 100934, 1811, 120523, 113551, 72516, 109860, 27929, 31431, 101668, 27384, 104721, 36785, 42891, 90620, 103950, 101832, 109807, 30591, 19732, 120523, 113551, 72516, 29295, 67645, 103171, 105522, 240, 105557, 103351, 32149, 15682, 104655, 102334, 112854, 58942, 107407, 107493, 5486, 108031, 61304, 125534, 102052, 100604, 109807, 32149, 116547, 89783, 82420, 26854, 109335, 114284, 118158, 106116, 45829, 107118, 104712, 112391, 117084, 50834, 32149, 107674, 110229, 16556, 107167, 124131, 22398, 25197, 52884, 20230, 103664, 64063, 30512, 17663, 108005, 121, 32149, 103646, 1811, 112672, 108048, 126328, 109739, 102802, 120650, 47884, 115789, 89046, 117139, 30512, 19732, 30369, 115789, 104435, 102677, 114284, 20834, 123405, 33121, 55031, 117119, 27479, 21388, 111943, 56051, 100909, 108995, 1811, 114774, 108149, 16144, 25580, 32977, 101182, 55031, 1981, 104612, 33710, 44559, 250, 76505, 102185, 45893, 122543, 9174, 98915, 107707, 112690, 13177, 21105, 240, 15682, 115924, 103359, 20230, 123927, 70141, 102532, 47884, 110615, 17792, 30512, 120111, 108176, 111329, 102717, 109416, 37656, 102800, 9174, 107943, 109335, 104405, 72661, 104712, 1811, 717, 8107, 120572, 717 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119962, 100204, 100481, 50834, 33541, 198, 110229, 29295, 5486, 19012, 119, 102532, 32977, 112185, 114052, 111571, 29295, 71005, 17129, 107462, 100604, 107803, 5486, 111694, 34048, 55031, 107805, 80805, 107654, 104309, 125334, 38144, 50834, 33541, 198, 102131, 112990, 5486, 118801, 101734, 117, 103397, 115717, 5486, 25197, 103672, 19732, 112361, 105933, 91774, 28713, 30832, 117084, 61689, 198, 109835, 100472, 112391, 15682, 5486, 107608, 16995, 109304, 223, 108068, 101734, 117, 115226, 26854, 121894, 38641, 198, 122270, 5486, 106826, 42634, 114265, 30512, 59657, 245, 121140, 20230, 54322, 22324, 109768, 104533, 5486, 41642, 31431, 32977, 19012, 119, 47884, 118733, 5486, 111571, 103397, 29295, 109161, 33208, 109768, 50834, 5486, 122270, 17039, 28713, 26854, 101576, 240, 101734, 117, 125334, 38144, 50834, 33541, 198, 108895, 26854, 104533, 5486, 91774, 28713, 30832, 32977, 32335, 109161, 1811, 101576, 240, 30813, 15682, 39880, 20251, 93298, 71689, 101983, 107462, 50834, 33541, 198, 103350, 15682, 5486, 101576, 240, 101734, 117, 109853, 15682, 113385, 29295, 16937, 31958, 19732, 110731, 16144, 119627, 115515, 16144, 110229, 31195, 198, 73686, 42891, 19012, 119, 50834, 114218, 55031, 104398, 115686, 29295, 124629, 22957, 64121, 101576, 240, 101734, 117, 119012, 198, 107805, 80805, 107654, 71289, 5486, 104398, 112506, 107654, 5486, 106384, 52884, 107805, 104309, 29295, 122333, 20230, 106518, 20834, 84389, 5486, 36117, 95, 33121, 104196, 100472, 121894, 101983, 103836, 198, 104309, 29295, 123680, 102639, 102204, 33541, 198, 14711, 122163, 111186, 56051, 16325, 77181, 96452, 42634, 112164, 102860, 29295, 32335, 104195, 198, 110219, 5486, 101576, 240, 101734, 117, 16556, 105871, 104735, 248, 70626, 120650, 126145, 5486, 124807, 39880, 47260, 84477, 71289, 117429, 102494, 102832, 84477, 5486, 76428, 52591, 32131, 64178, 104309, 102083, 100472, 5486, 32335, 104195, 16144, 34048, 104770, 20230, 103204, 54926, 106826, 42634, 114265, 122279, 104735, 237, 29295, 117120, 24273, 84389, 33541, 198, 100845, 115, 16995, 107803, 118816, 5486, 32943, 44309, 106826, 42634, 114265, 30512, 44309, 11883, 21105, 103, 47884, 38144, 15682, 105110, 100604, 126465, 32977, 57903, 33541, 198, 53900, 5486, 59614, 101860, 108324, 39880, 44971, 33710, 104603, 11972, 21403, 97, 15682, 117120, 24273, 107001, 118733, 109954, 198, 110229, 29295, 5486, 101576, 240, 101734, 117, 102052, 106826, 42634, 114265, 30512, 59657, 245, 114598, 30591, 109709, 8239, 114503, 119703, 104466, 91763, 58942, 33541, 198, 126843, 111694, 34048, 55031, 5486, 107805, 80805, 107654, 125334, 100934, 103846, 31195, 59657, 245, 114598, 89753, 33121, 120175, 33541, 198, 108324, 39880, 44971, 33710, 104603, 11972, 21403, 97, 32977, 5486, 95221, 105677, 62004, 113314, 20230, 67016, 126120, 50834, 107515, 198, 53900, 5486, 32943, 44309, 106826, 42634, 114265, 15682, 5486, 105184, 111201, 8239, 114503, 32977, 101182, 16144, 119627, 5486, 106966, 113266, 30512, 78698, 101557, 106, 39926, 5486, 117120, 24273, 84389, 111243, 34617, 9080, 17620, 113314, 67016, 80631, 108, 58942, 107515, 198, 112672, 5486, 101576, 240, 101734, 117, 37087, 38144, 103698, 114758, 117084, 100604, 121894, 55031, 5486, 106826, 42634, 114265, 122279, 104735, 237, 20230, 104721, 105262, 113334, 38641, 55031, 121270, 108968, 103268, 79982, 20230, 108618, 31431, 33541, 198, 102159, 105390, 26854, 33014, 111186, 115717, 33541, 29295, 112160, 87217, 8239, 114503, 9554, 103351, 104468, 5486, 96452, 42634, 112164, 102860, 111848, 101426, 71005, 109519, 115717, 33541, 198, 96452, 42634, 112164, 102860, 23042, 33, 15682, 121270, 103682, 101544, 117508, 48915, 101911, 16144, 108761, 103438, 20230, 96412, 17129, 104028, 108008, 20230, 111044, 16144, 101462, 255, 16995, 103682, 101544, 10110, 15134, 38121, 17, 20211, 120732, 117508, 48915, 101911, 16556, 110371, 103682, 101544, 16144, 117508, 48915, 101911, 29295, 117382, 16144, 102473, 113702, 55031, 119455, 23706, 105, 20230, 19361, 126120, 103195, 105908, 31958, 33503, 32149, 104856, 107462, 79721, 198, 126229, 7705, 96452, 42634, 112164, 102860, 1569, 113, 117669, 124944, 107118, 95532, 106826, 42634, 114265, 30512, 16995, 126910, 59657, 245, 114598, 103672, 47260, 103672, 47260, 39926, 71005, 33503, 104435, 101576, 240, 101734, 117, 29295, 5486, 103001, 246, 119775, 33420, 107800, 16144, 38641, 198, 90620, 31195, 17701, 94923, 16325, 16144, 71005, 109519, 103351, 103846, 5486, 121410, 9080, 101426, 101911, 30512, 118959, 102802, 103468, 16144, 119627, 5486, 33035, 94923, 118816, 111299, 20230, 25963, 18904, 55031, 34617, 18904, 113314, 115717, 33541, 128001, 128000, 2, 112238, 60868, 109529, 98499, 109853, 198, 115406, 19732, 55999, 20230, 112562, 30512, 112854, 17129, 109768, 26854, 65316, 198, 68759, 107507, 220, 1627, 25, 1987, 198, 51330, 23964, 229, 32938, 15682, 5486, 25197, 76739, 117718, 115941, 60868, 44971, 91062, 17701, 60174, 16144, 113838, 78244, 103306, 121453, 103664, 110776, 102181, 20230, 117811, 116216, 61689, 1811, 80631, 100, 102800, 10110, 45736, 104369, 110104, 7705, 101538, 10110, 39850, 114741, 119735, 108048, 103296, 16144, 39850, 114741, 113838, 78244, 102052, 91774, 102204, 100604, 31634, 72238, 38641, 9174, 57207, 110191, 20230, 37507, 30369, 101538, 15682, 36896, 101365, 20230, 123532, 16995, 5486, 104284, 60632, 30512, 58318, 58942, 109115, 30046, 126557, 17663, 26854, 78183, 43514, 5486, 101365, 20230, 108057, 125167, 30046, 16556, 5486, 105037, 247, 30250, 250, 20230, 102416, 31431, 108112, 31431, 122603, 104369, 30369, 105908, 124897, 55031, 5486, 103803, 126194, 13177, 85791, 81219, 20230, 110498, 76947, 10646, 37507, 33541, 66327, 25132, 234, 85791, 81219, 117255, 10646, 15682, 5486, 101538, 29295, 32977, 127567, 17663, 122393, 64121, 16144, 119515, 32149, 30813, 30512, 30591, 33503, 78183, 127145, 59459, 109832, 101083, 61304, 2491, 25, 806, 23954, 50211, 34208, 15682, 101538, 16144, 28037, 37507, 55031, 27704, 109709, 33541, 29295, 5486, 50211, 34208, 30512, 113638, 50834, 122765, 30369, 48634, 15682, 101365, 117083, 16144, 38641, 9174, 110776, 102181, 16556, 13177, 124121, 66383, 103359, 57106, 39926, 13177, 107079, 66383, 95604, 102158, 29295, 33655, 126832, 107803, 36896, 107079, 10646, 15682, 13177, 114516, 109904, 102944, 66383, 16995, 100472, 115552, 115717, 33541, 66327, 107079, 66383, 15682, 5486, 101365, 20230, 64209, 30512, 70141, 76622, 101860, 20230, 5486, 105994, 116907, 16144, 114516, 109904, 48634, 71289, 125396, 20230, 117943, 103950, 117408, 123726, 24273, 16556, 5486, 114754, 109683, 20230, 102647, 104369, 123726, 24273, 38641, 1811, 103359, 39926, 13177, 124121, 113468, 66383, 15682, 5486, 101365, 117758, 48634, 20230, 117943, 30369, 123726, 24273, 16144, 100909, 38641, 9174, 78183, 28713, 56051, 43514, 29295, 36896, 124121, 113468, 10646, 123726, 30369, 105908, 108608, 104468, 36896, 107079, 10646, 111848, 123726, 24273, 16144, 35894, 21105, 243, 30512, 20379, 15024, 5486, 101365, 117758, 48634, 113468, 123726, 30369, 110783, 30512, 5486, 96356, 30512, 32977, 76947, 20379, 103646, 5486, 109095, 76706, 16144, 62903, 124766, 112197, 32149, 102639, 126529, 38641, 9174, 114516, 15682, 36896, 124121, 118587, 111764, 20230, 106121, 30369, 109335, 103082, 107515, 66327, 124121, 10646, 29295, 5486, 78183, 28713, 56051, 43514, 16144, 113009, 13177, 33014, 16144, 106548, 101275, 30512, 115924, 59739, 117503, 38641, 66327, 101365, 16144, 124121, 113468, 106839, 32149, 104028, 30046, 15682, 112073, 5486, 101365, 117255, 126529, 38641, 116326, 42634, 108941, 23, 25, 975, 7705, 19732, 101182, 104466, 5486, 78183, 28713, 56051, 43514, 29295, 17663, 125231, 109335, 5486, 101365, 16144, 124121, 16144, 122502, 50834, 30512, 100525, 101, 104698, 21105, 103, 16995, 100909, 38641, 9174, 37271, 18904, 16144, 109529, 98499, 23964, 229, 32938, 16144, 25580, 74482, 102052, 5486, 25197, 76739, 22398, 29295, 108152, 99959, 104930, 17792, 55031, 120853, 115924, 107001, 127749, 29295, 110240, 32149, 106824, 61689, 1811, 17792, 104680, 16144, 43568, 113954, 107809, 72661, 5486, 25197, 76739, 22398, 29295, 101365, 20230, 83812, 249, 58666, 30512, 30813, 30813, 102639, 30369, 105908, 108608, 104468, 5486, 101365, 30512, 30591, 33503, 78183, 17663, 30046, 103306, 16144, 116907, 16144, 23039, 16995, 29295, 36896, 109088, 64209, 20230, 109431, 30297, 100909, 10646, 118816, 53283, 103836, 55031, 38641, 9174, 13177, 53283, 122393, 101182, 30046, 71289, 126053, 16995, 30046, 66383, 15682, 5486, 25197, 76739, 22398, 30512, 104736, 62004, 101200, 19732, 21105, 103, 16995, 108152, 99959, 104930, 17792, 5486, 66378, 20230, 104774, 37823, 109054, 105647, 124911, 104680, 16144, 100909, 119627, 5486, 115364, 48634, 16556, 108057, 119178, 104067, 119607, 117408, 30591, 109709, 5486, 25197, 76739, 22398, 29295, 20379, 17663, 101365, 16144, 125525, 103005, 79785, 114475, 76622, 17701, 104028, 105908, 103082, 105823, 104127, 56051, 1811, 78183, 28713, 56051, 43514, 32977, 5486, 114516, 103306, 16144, 53283, 122393, 71289, 126053, 30813, 30512, 15017, 101, 38144, 38144, 13177, 113261, 45829, 120950, 30046, 10646, 115717, 5486, 101365, 20230, 104655, 32149, 101832, 81219, 26854, 31431, 107515, 9174, 40265, 125344, 108152, 99959, 104930, 100927, 64467, 106839, 30046, 15682, 5486, 101365, 55031, 114516, 20230, 58318, 58942, 109115, 13177, 100818, 249, 10110, 47884, 102802, 50834, 7705, 10646, 103306, 104063, 25333, 30250, 113, 106154, 30512, 32018, 62004, 5486, 105994, 105459, 29295, 104063, 25333, 30512, 103350, 23039, 103792, 106592, 45918, 229, 31431, 5486, 104063, 25333, 30512, 28873, 28713, 72342, 100604, 112294, 16995, 30046, 15682, 101365, 16144, 108057, 16995, 55031, 21418, 48915, 107001, 125231, 118816, 113727, 100481, 79721, 1811, 101365, 16144, 13177, 109088, 64209, 20230, 109431, 30297, 100909, 10110, 101365, 16144, 82420, 55723, 16144, 117591, 117083, 106084, 30926, 7705, 10646, 30512, 53283, 30369, 25197, 76739, 22398, 15682, 110371, 105933, 13177, 30358, 111600, 118587, 109972, 78183, 84389, 127814, 33121, 28873, 38144, 28713, 17792, 104680, 20230, 5486, 105184, 22023, 114792, 76947, 13177, 105677, 105823, 38144, 122765, 101200, 66383, 102158, 31431, 104394, 32149, 103468, 16144, 38641, 9174, 25197, 76739, 22398, 29295, 96356, 30512, 32977, 76947, 20379, 103646, 13177, 115289, 34208, 16556, 105037, 247, 30250, 250, 26854, 30046, 66383, 15682, 5486, 101365, 16144, 30591, 123671, 64121, 20230, 22023, 117943, 39926, 5486, 115364, 104195, 30813, 30512, 45918, 229, 110104, 107707, 100909, 38641, 124845, 5486, 25197, 76739, 117718, 13177, 100818, 249, 10646, 29295, 109972, 114774, 17663, 47884, 117355, 16995, 104468, 5486, 101365, 16144, 114284, 30512, 53283, 30369, 25197, 76739, 22398, 29295, 5486, 109203, 16556, 126419, 20230, 105068, 109972, 76947, 124089, 55031, 38641, 1811, 25197, 76739, 22398, 20230, 48864, 102802, 5486, 25197, 76739, 22398, 20230, 102780, 105360, 64121, 30512, 21441, 225, 105262, 123726, 24273, 107809, 20230, 5486, 51385, 33503, 105557, 107407, 16144, 38641, 9174, 102181, 108847, 44620, 62903, 124766, 111363, 17039, 102800, 45893, 36761, 198, 102700, 25, 62903, 124766, 66953, 33710, 9458, 66953, 37823, 78205, 125864, 78349, 103672, 101365, 104503, 198, 102181, 108847, 44620, 36668, 117073, 110776, 102181, 50338, 108323, 36761, 198, 102700, 25, 106786, 106496, 115160, 101365, 104503, 198, 121410, 111299, 91082, 117073, 101198, 60868, 113699, 33655, 126832, 119752, 45829, 16556, 5486, 101198, 60868, 16556, 109529, 98499, 107001, 110776, 102181, 23964, 229, 32938, 32977, 102181, 32149, 106824, 61689, 1811, 118028, 76739, 107446, 106699, 100927, 121224, 220, 55031, 102404, 23039, 116216, 108086, 5486, 9039, 111299, 61826, 16144, 102944, 103296, 102208, 100927, 38093, 20230, 22324, 102532, 57903, 33541, 105879, 108948, 60358, 119064, 71493, 122148, 48552, 100927, 38093, 126250, 33334, 32018, 62004, 72315, 1811, 128001, 128000, 118288, 9080, 15682, 118116, 24, 13, 806, 55031, 717, 8107, 1811, 108031, 717, 8107, 32977, 106613, 103836, 102677, 120266, 121602, 102334, 1811, 106222, 17792, 17, 8107, 30832, 103351, 107188, 109807, 107404, 15682, 46729, 20230, 111926, 32977, 30591, 76947, 5486, 117876, 55031, 112454, 76947, 50834, 38144, 111926, 116825, 107674, 33503, 5486, 43514, 107106, 67645, 17, 101513, 118322, 107850, 23039, 101513, 29295, 91482, 33710, 20230, 104584, 42891, 104526, 104004, 112661, 56965, 103351, 16144, 30512, 112854, 58942, 100934, 1811, 102321, 103350, 26854, 104865, 5486, 111926, 120706, 16144, 115303, 59739, 26854, 104865, 16995, 17129, 16995, 43514, 78183, 55031, 104435, 107493, 5486, 111926, 55031, 108044, 78183, 76947, 109749, 102769, 117598, 56051, 39880, 96452, 65299, 107446, 20230, 108149, 108861, 85701, 112987, 17129, 125119, 103836, 100909, 113461, 104856, 25827, 110162, 113954, 54926, 105908, 103082, 28713, 1811, 18, 13, 806, 32977, 30590, 110441, 15682, 33014, 99750, 56051, 107493, 106719, 103682, 16144, 106482, 66201, 15682, 15120, 33014, 99849, 29295, 125119, 103836, 104865, 30297, 17129, 47884, 115320, 64121, 104526, 62004, 104435, 1811, 91763, 78183, 112179, 109335, 108064, 120885, 91763, 78183, 112179, 107507, 101198, 94550, 16556, 125119, 30369, 9174, 24, 13, 806, 16144, 114715, 25580, 5486, 105140, 105677, 64121, 107898, 16995, 33503, 15682, 123283, 112164, 120523, 30512, 107113, 109807, 110018, 20230, 78459, 113821, 46034, 55487, 104309, 16556, 33334, 101083, 87177, 20230, 110276, 120523, 108695, 16144, 58850, 117255, 19732, 115320, 64121, 120650, 100472, 31431, 107113, 105879, 5486, 37656, 95221, 20230, 114941, 76947, 55031, 114225, 20230, 58426, 45829, 20230, 89046, 117139, 56051, 100909, 17129, 77181, 112854, 58942, 100934, 1811, 120523, 113551, 72516, 109860, 27929, 31431, 101668, 27384, 104721, 36785, 42891, 90620, 103950, 101832, 109807, 30591, 19732, 120523, 113551, 72516, 29295, 67645, 103171, 105522, 240, 105557, 103351, 32149, 15682, 104655, 102334, 112854, 58942, 107407, 107493, 5486, 108031, 61304, 125534, 102052, 100604, 109807, 32149, 116547, 89783, 82420, 26854, 109335, 114284, 118158, 106116, 45829, 107118, 104712, 112391, 117084, 50834, 32149, 107674, 110229, 16556, 107167, 124131, 22398, 25197, 52884, 20230, 103664, 64063, 30512, 17663, 108005, 121, 32149, 103646, 1811, 112672, 108048, 126328, 109739, 102802, 120650, 47884, 115789, 89046, 117139, 30512, 19732, 30369, 115789, 104435, 102677, 114284, 20834, 123405, 33121, 55031, 117119, 27479, 21388, 111943, 56051, 100909, 108995, 1811, 114774, 108149, 16144, 25580, 32977, 101182, 55031, 1981, 104612, 33710, 44559, 250, 76505, 102185, 45893, 122543, 9174, 98915, 107707, 112690, 13177, 21105, 240, 15682, 115924, 103359, 20230, 123927, 70141, 102532, 47884, 110615, 17792, 30512, 120111, 108176, 111329, 102717, 109416, 37656, 102800, 9174, 107943, 109335, 104405, 72661, 104712, 1811, 717, 8107, 120572, 717 ]
[ 8107, 109807, 74482, 127164, 15682, 57933, 42634, 110792, 102669, 16995, 30512, 27704, 109013, 107493, 5486, 102971, 91077, 101083, 107809, 55031, 22649, 16937, 107542, 26854, 57933, 42634, 15682, 123733, 107462, 100604, 1811, 52591, 64810, 76171, 27384, 105156, 108761, 15682, 13870, 223, 31958, 16144, 89783, 30590, 103470, 108055, 103646, 107493, 5486, 102616, 29295, 50211, 34208, 32149, 19732, 104655, 32149, 33121, 104984, 5486, 104662, 39926, 107943, 109335, 100604, 122262, 16995, 33503, 105459, 119775, 50211, 34208, 26854, 113146, 20230, 50211, 34208, 26854, 29504, 20230, 101662, 100472, 116537, 5486, 50211, 34208, 16556, 100604, 121894, 29295, 26854, 112371, 125119, 30369, 104865, 78183, 124403, 1811, 37026, 120577, 51609, 30512, 15017, 101, 38144, 38144, 127177, 107707, 51609, 30512, 127696, 30297, 120266, 67645, 103171, 120987, 107407, 104865, 113727, 102204, 100604, 9174, 77693, 72661, 24, 13, 806, 15682, 115389, 72661, 33334, 16995, 33503, 126027, 118146, 102616, 121254, 107441, 122396, 1811, 127164, 20230, 114737, 103359, 54926, 29504, 71289, 121606, 107407, 106592, 15682, 121381, 111842, 104736, 109375, 54926, 100909, 110276, 113637, 29504, 121960, 127164, 29295, 115924, 103359, 112535, 37656, 67016, 100472, 113146, 29295, 105721, 78183, 100472, 112661, 56965, 103351, 107173, 78244, 105262, 9174, 30591, 33121, 55031, 126920, 16995, 85791, 103171, 105908, 105693, 1811, 102616, 16556, 78244, 116285, 60868, 52884, 57326, 102803, 91062, 42634, 107060, 111848, 16937, 109369, 29295, 15682, 100204, 109709, 115132, 125581, 77181, 59795, 29295, 121819, 105987, 109904, 48706, 99750, 30512, 20379, 15024, 27704, 109013, 1811, 102433, 77181, 110441, 126462, 29295, 125119, 31431, 5486, 102616, 102208, 30590, 72661, 30590, 110441, 29295, 102404, 21990, 56051, 31431, 5486, 53610, 104698, 29295, 102404, 21990, 56051, 31431, 103792, 1811, 24, 13, 806, 16144, 102048, 234, 8107, 15682, 9080, 116137, 54, 109247, 29295, 87447, 113497, 110731, 1811, 32307, 70349, 16144, 101544, 60174, 68759, 32131, 118901, 29295, 27704, 117864, 123017, 1049, 17, 8107, 36785, 122262, 16995, 33503, 121568, 32977, 108695, 30512, 121355, 107436, 118326, 56051, 31431, 5486, 116499, 126268, 81219, 53900, 37656, 61337, 102351, 110276, 31431, 1811, 717, 8107, 112772, 124131, 103927, 114016, 112690, 17663, 33503, 104435, 1811, 120328, 23039, 43568, 40053, 102677, 112690, 29295, 17129, 30813, 20230, 21105, 96, 47884, 31431, 109749, 717, 8107, 103351, 19732, 78244, 105262, 108995, 9174, 30591, 33121, 55031, 33334, 16995, 33503, 15682, 67645, 33121, 103378, 13153, 101544, 56051, 120900, 32149, 1811, 118116, 119400, 112197, 16995, 33503, 15682, 112185, 102616, 16144, 108285, 30813, 30512, 102717, 19732, 124592, 53283, 33503, 104435, 122262, 16995, 33503, 103378, 104446, 103470, 38144, 43240, 119064, 17792, 125030, 76947, 102616, 15682, 91774, 58942, 100934, 121142, 5486, 103350, 107328, 30512, 99849, 32977, 113954, 109768, 104435, 25827, 110034, 108995, 32149, 1811, 16995, 17129, 15682, 102616, 29295, 105557, 116186, 104043, 31809, 30813, 115737, 100472, 104466, 112391, 30369, 1811, 102616, 16556, 125119, 30369, 67645, 103171, 109606, 32977, 105994, 102052, 43568, 116690, 36785, 107118, 120267, 102769, 33121, 123733, 103836, 9174, 24, 13, 806, 120950, 109335, 41920, 27479, 19732, 125119, 76947, 102717, 106624, 100604, 107493, 5486, 24, 13, 806, 122291, 55031, 16995, 17129, 16144, 102616, 107407, 107173, 78244, 105262, 113637, 127960, 15682, 105994, 105459, 104356, 16556, 18904, 103836, 113334, 111769, 1811, 43240, 119064, 17620, 33208, 115991, 5486, 43240, 119064, 114172, 102512, 107407, 109900, 108422, 33121, 29295, 127177, 29504, 30512, 113797, 30358, 54926, 118733, 67016, 50211, 34208, 15682, 106154, 102204, 100604, 106592, 127960, 17905, 20230, 101987, 104004, 17792, 127282, 48864, 102189, 116497, 36785, 109807, 105908, 102780, 20119, 115, 101983, 103836, 28190, 32977, 101182, 29295, 5486, 1049, 16, 8107, 126036, 679, 18, 116358, 118881, 29295, 17663, 81219, 114420, 102616, 103195, 19732, 33334, 16995, 33503, 15682, 120267, 102769, 104028, 9174, 102616, 16144, 50211, 34208, 15682, 104662, 39926, 30868, 247, 76947, 102532, 58318, 58942, 110071, 102944, 110034, 1811, 32149, 102083, 76947, 103787, 48634, 16556, 33563, 28713, 104028, 102944, 72661, 100604, 1811, 78698, 105262, 100909, 1811, 115364, 100909, 5486, 120007, 16144, 106592, 19732, 100909, 25827, 78698, 105262, 1811, 120007, 16144, 80195, 75267, 117084, 78698, 105262, 1811, 108895, 95604, 104468, 102433, 107707, 114363, 105525, 66378, 110008, 20230, 60358, 16995, 102944, 107407, 1811, 109860, 33334, 16995, 33503, 127282, 113727, 101200, 57980, 1811, 102616, 109853, 15682, 108285, 120195, 30369, 55031, 5486, 118322, 112772, 107991, 17792, 71289, 5486, 115364, 27384, 102769, 36785, 119150, 107707, 106592, 113727, 101200, 1811, 110924, 55031, 122617, 29295, 27704, 115464, 1811, 102616, 16144, 50211, 34208, 15682, 102131, 95604, 31809, 30813, 26854, 100909, 16144, 108882, 64121, 30358, 101832, 16556, 33563, 28713, 115032, 19732, 22023, 100204, 38144, 1811, 128001, 128000, 2, 108061, 253, 40474, 19732, 103429, 95221, 7, 103305, 40474, 7435, 113799, 12, 127413, 72404, 112825, 110904, 44971, 57207, 70563, 114308, 127413, 198, 103305, 40474, 7, 32943, 63212, 340, 86127, 104067, 114516, 15682, 106116, 117073, 95221, 17620, 71289, 106084, 30926, 20230, 76947, 113799, 100472, 31431, 5486, 104940, 102189, 31431, 5486, 116292, 15024, 102189, 31431, 5486, 113727, 120195, 115926, 5486, 121602, 102334, 31431, 54926, 105908, 57903, 33541, 113637, 125641, 15682, 102334, 76947, 110219, 16144, 100909, 119627, 5486, 105047, 20230, 103188, 21403, 108, 20230, 113799, 31431, 30512, 112854, 107800, 31431, 5486, 121602, 102334, 31431, 5486, 113116, 109904, 71634, 108744, 114475, 76622, 106307, 76622, 104533, 5486, 71493, 32131, 99959, 20230, 103826, 104680, 26854, 109161, 117375, 30512, 58318, 107290, 103801, 61689, 9174, 58426, 113702, 5486, 95221, 104473, 16144, 116348, 31431, 71289, 26274, 241, 101921, 239, 16144, 122502, 50834, 29295, 108267, 33121, 103429, 95221, 30512, 113801, 125119, 15024, 5486, 111571, 103397, 30512, 109161, 33208, 107726, 38144, 103801, 61689, 118844, 15682, 16325, 126784, 106063, 66378, 16144, 78698, 107800, 24273, 16556, 36896, 32943, 114218, 103305, 40474, 66383, 16995, 61689, 1811, 103305, 40474, 107118, 5486, 113799, 5486, 104940, 5486, 91763, 5486, 116292, 9458, 107063, 224, 5486, 121602, 16144, 125641, 30512, 30813, 78434, 1811, 113799, 31431, 15682, 57942, 251, 5486, 104940, 102802, 15682, 64209, 5486, 91763, 15682, 101171, 122, 5486, 116292, 9458, 107063, 224, 15682, 57942, 118, 5486, 121602, 15682, 101921, 236, 20230, 117375, 30512, 58318, 58942, 33541, 9174, 103350, 104983, 102052, 103305, 40474, 15682, 77693, 108422, 33121, 110904, 33014, 126194, 36896, 113799, 31431, 116292, 15024, 104004, 59712, 114284, 116292, 15024, 104004, 10646, 104309, 109242, 122202, 114556, 108826, 15024, 40862, 100472, 125641, 103306, 102321, 33121, 33541, 9174, 103305, 40474, 111848, 102404, 103429, 15682, 48915, 123296, 29295, 71493, 32131, 99959, 20230, 117976, 17701, 54926, 100909, 126194, 5486, 109467, 76208, 26274, 241, 30512, 114218, 59739, 107674, 31431, 5486, 95221, 104473, 16144, 116348, 31431, 30512, 108267, 17663, 100909, 112212, 102404, 103429, 78434, 1811, 113116, 109904, 112415, 30512, 40452, 54926, 13177, 64209, 10646, 29295, 108267, 104028, 19732, 5486, 95221, 16144, 116348, 31431, 30512, 40452, 54926, 13177, 57942, 251, 10646, 71289, 95221, 104473, 116825, 47884, 31431, 37087, 96356, 20230, 116348, 117063, 100934, 13177, 101171, 122, 118587, 125173, 114218, 107726, 33541, 1811, 27452, 116285, 5486, 103892, 124905, 16995, 120195, 38144, 127814, 104028, 19732, 13177, 64209, 66383, 13177, 101171, 122, 10646, 29295, 114218, 126268, 124195, 95221, 104473, 110176, 115534, 121711, 108948, 113351, 29295, 35894, 47884, 101182, 16995, 15682, 33334, 113351, 29295, 114485, 110104, 123160, 111571, 103397, 29295, 64121, 102204, 33541, 1811, 113799, 104533, 57942, 251, 16144, 116499, 95475, 73597, 252, 54926, 57942, 251, 95221, 106890, 109, 102971, 16144, 121894, 115717, 111528, 102064, 71289, 101171, 229, 29295, 108631, 115737, 100472, 31431, 78434, 1811, 34226, 20230, 109161, 33208, 112990, 95221, 19732, 104473, 29295, 73597, 252, 30369, 13177, 95221, 73597, 252, 104473, 114431, 222, 10646, 115717, 5486, 9953, 106613, 108631, 71289, 45829, 106496, 119049, 101921, 104, 104309, 29295, 64121, 102204, 33541, 9174, 113799, 198, 113799, 31431, 120195, 15682, 57942, 251, 20230, 109161, 117375, 30512, 58318, 58942, 33541, 1811, 57942, 251, 15682, 104473, 16144, 33857, 30512, 40452, 5486, 95221, 16144, 116348, 31431, 30512, 40452, 103792, 119154, 38641, 1811, 113799, 31431, 120195, 104533, 5486, 95221, 19732, 104473, 29295, 33014, 120938, 34048, 20230, 116900, 17905, 39926, 50834, 33541, 1811, 113799, 31431, 120195, 104533, 13177, 103892, 20230, 104473, 29295, 16144, 109416, 30369, 66383, 95604, 112690, 124905, 61689, 29295, 108048, 15682, 57942, 251, 16144, 122502, 50834, 103195, 95221, 104473, 16144, 116348, 31431, 71289, 33857, 30512, 40452, 54926, 102677, 122502, 50834, 29295, 103082, 123733, 76947, 114732, 55031, 38641, 1811, 111571, 103397, 103306, 15682, 5486, 30832, 29295, 109657, 115737, 100472, 31431, 5486, 103892, 108631, 5486, 62004, 17129, 16995, 5486, 114948, 22957, 31431, 104309, 30512, 113801, 125119, 78434, 118855, 5486, 25197, 102803, 32131, 15024, 126172, 115737, 100472, 31431, 5486, 116499, 116366, 110615, 95221, 106890, 109, 117084, 50834, 33541, 9174, 57942, 251, 16144, 106613, 117139, 15682, 33014, 16144, 110366, 28190, 20230, 33035, 103836, 105879, 5486, 110366, 28190, 20230, 111571, 103397, 29295, 102321, 33121, 33541, 1811, 27452, 116285, 5486, 103892, 108631, 72661, 74482, 34048, 29295, 108631, 104004, 16144, 126194, 5486, 110366, 28190, 29295, 108631, 47884, 109020, 105908, 127181, 38641, 1811, 30832, 32977, 33014, 16144, 110366, 28190, 103306, 15017, 231, 105262, 105879, 5486, 30832, 105352, 108901, 40053, 125334, 33541, 1811, 111140, 71289, 101171, 229, 29295, 105714, 31431, 126172, 115737, 100472, 31431, 54926, 123017, 57942, 251, 20230, 108901, 40053, 107407, 19732, 113727, 33541, 9174, 111482, 16144, 103429, 95221, 16144, 23, 111017, 15682, 57942, 251, 29295, 113385, 19732, 117952, 106824, 61689, 1811, 61826, 108680, 32977, 120267, 79721, 29295, 5486, 57942, 251, 15682, 104473, 16144, 33857, 30512, 40452, 54926, 119154, 38641, 1811, 111482, 102052, 9953, 106613, 115991, 5486, 9953, 106613, 20251, 32131, 112193, 15682, 57942, 251, 20230, 108901, 40053, 107407, 19732, 16325, 126784, 77181, 113727, 33541, 1811, 9953, 106613, 103188, 43240, 5486, 9953, 106613, 108631, 104309, 104309, 31195, 64209, 40265, 115926, 107407, 116537, 57942, 251, 19732, 89151, 119063, 121254, 50834, 40862, 30297, 109215, 115991, 33541, 101832, 9174, 113799, 31431, 126172, 16995, 17792, 102052, 5486, 95221, 16144, 116348, 31431, 30512, 114652, 54926, 117434, 104735, 111, 30512, 125764, 111243, 33503, 61689, 9174, 95221, 16144, 116348, 31431, 30512, 114652, 54926, 102456, 103234, 107118, 95532, 106157, 101832, 105557, 5486, 70563, 108941, 16073, 5486, 117262, 255, 5486, 17129, 104699, 85791, 5486, 60868, 16073, 103988, 57207, 5486, 76475, 239, 101057, 246, 104770, 5486, 102040, 109229, 104309, 198, 110241, 22398, 124603, 104309, 16556, 36896, 99849, 29295, 95221, 16144, 116348, 31431, 30512, 114652, 39926, 124089, 102189, 42891, 76622, 91006, 106046, 100472, 33503, 5486, 120098, 15682, 13177, 102765, 31431, 29295, 104712, 102944, 10646, 6447, 102765, 31431, 29295, 126521, 102456, 103234, 15682, 95221, 16144, 116348, 31431, 30512, 114652, 39926, 124089, 19732, 113727, 33541, 1811, 110241, 122571, 113799, 31431, 126172, 16995, 6447, 119150, 24273, 15682, 108882, 110993, 112535, 17905, 61304, 16144, 102456, 103234, 30512, 99046, 224, 18655, 39926, 64121, 38144, 72315, 101832, 9174, 95221, 16144, 116348, 31431, 30512, 114652, 54926, 112825, 110904, 33334, 125683, 62004, 44971, 57207, 70563, 198, 21555, 98, 101860, 32149, 102800, 16144, 119627, 115408, 32977, 5486, 113799, 31431, 108005, 121, 16995, 34171, 35083, 38641, 1811, 49838, 100844, 99, 100823, 20230, 13177, 104940, 113799, 20648, 222, 105465, 104446, 103470, 38144, 5486, 37087, 38144, 113799, 36785, 101832, 66383, 117952, 103468, 108680, 31195, 49838, 198, 107943, 113799, 103836, 86127, 72661, 108608, 112825, 110904, 26854, 44971, 57207, 70563, 30512, 48154, 126362, 78434, 101832, 40620, 198, 25197, 102803, 32131, 30512, 114408, 50834, 107850, 81219, 17663, 6447, 44971, 124373, 115464, 115464, 16, 102159, 17620, 33655, 100472, 44971, 124373, 91062, 61398, 198, 105021, 108321, 103705, 198, 12, 106156, 124373, 21980, 223, 220, 16, 102159, 17620, 198, 12, 59363, 107167, 103202, 220, 3965, 1029, 198, 12, 110936, 224, 117587, 7, 122571, 50834, 102802, 120843, 117587, 32149, 111199, 120843, 117587, 124905, 61689, 8, 220, 1399, 70, 198, 12, 111584, 231, 108270, 32131, 78459, 16073, 220, 20, 70, 198, 12, 116804, 109, 124527, 220, 3965, 1029, 198, 12, 110936, 224, 117587, 220, 605, 70, 198, 105021, 19967, 31431, 24273, 103705, 198, 12, 116804, 109, 124527, 20230, 120843, 117587, 220, 605, 70, 30512, 21601, 107290, 107960, 112371, 30369, 198, 12, 18049, 120, 32131, 78459, 16073, 15682, 53610, 27384, 30813, 100204, 17, 7, 17620, 33857, 48915, 8, 16556, 122026, 32149, 17663, 198, 12, 220, 16, 20230, 17, 30512, 21601, 58942, 107960, 112371, 5486, 44971, 124373, 21980, 223, 32977, 21601, 107290, 107960, 112371, 30369, 1811, 103672, 65299, 114615, 104792, 30512, 30320, 115, 53610, 20230, 30591, 38144, 5486, 103621, 91062, 102832, 32131, 16556, 107960, 112371, 106272, 106142, 71289, 15024, 19732, 85791, 64121, 116825, 105784, 198, 12, 20033, 98, 16144, 103672, 65299, 33710, 20230, 21990, 107167, 103202, 30512, 122939, 121697, 5486, 120843, 117587, 1399, 70, 30512, 17, 56040, 18, 18904, 20230, 17620, 76622, 5486, 102397, 17620, 121697, 20230, 122939, 121697, 30369, 198, 12, 220, 18, 19732, 19, 30512, 103621, 91062, 102832, 32131, 16556, 107960, 112371, 5486, 37729, 32648, 20230, 60634, 15024, 106142, 119154, 107086, 109156, 33121, 107608, 117864, 33503, 61648, 198, 14711, 220, 48154, 120999, 9458, 33334, 102782, 15024, 121423, 198, 109834, 103868, 126130, 110794, 16995, 90620, 50834, 97135, 61689, 1811, 8921, 328, 5048, 77181, 198, 122485, 115303, 31431, 110792, 103359, 87177, 30512, 33035, 100204, 38144, 5486, 33014, 105284, 102178, 111665, 55031, 5486, 16937, 104873, 16144, 119045, 113385, 5486, 23226, 106594, 105226, 30512, 71493, 115691, 64810, 122835, 109768, 50834, 33541, 1811, 112073, 103826, 107898, 38093, 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 ]
[ 8107, 109807, 74482, 127164, 15682, 57933, 42634, 110792, 102669, 16995, 30512, 27704, 109013, 107493, 5486, 102971, 91077, 101083, 107809, 55031, 22649, 16937, 107542, 26854, 57933, 42634, 15682, 123733, 107462, 100604, 1811, 52591, 64810, 76171, 27384, 105156, 108761, 15682, 13870, 223, 31958, 16144, 89783, 30590, 103470, 108055, 103646, 107493, 5486, 102616, 29295, 50211, 34208, 32149, 19732, 104655, 32149, 33121, 104984, 5486, 104662, 39926, 107943, 109335, 100604, 122262, 16995, 33503, 105459, 119775, 50211, 34208, 26854, 113146, 20230, 50211, 34208, 26854, 29504, 20230, 101662, 100472, 116537, 5486, 50211, 34208, 16556, 100604, 121894, 29295, 26854, 112371, 125119, 30369, 104865, 78183, 124403, 1811, 37026, 120577, 51609, 30512, 15017, 101, 38144, 38144, 127177, 107707, 51609, 30512, 127696, 30297, 120266, 67645, 103171, 120987, 107407, 104865, 113727, 102204, 100604, 9174, 77693, 72661, 24, 13, 806, 15682, 115389, 72661, 33334, 16995, 33503, 126027, 118146, 102616, 121254, 107441, 122396, 1811, 127164, 20230, 114737, 103359, 54926, 29504, 71289, 121606, 107407, 106592, 15682, 121381, 111842, 104736, 109375, 54926, 100909, 110276, 113637, 29504, 121960, 127164, 29295, 115924, 103359, 112535, 37656, 67016, 100472, 113146, 29295, 105721, 78183, 100472, 112661, 56965, 103351, 107173, 78244, 105262, 9174, 30591, 33121, 55031, 126920, 16995, 85791, 103171, 105908, 105693, 1811, 102616, 16556, 78244, 116285, 60868, 52884, 57326, 102803, 91062, 42634, 107060, 111848, 16937, 109369, 29295, 15682, 100204, 109709, 115132, 125581, 77181, 59795, 29295, 121819, 105987, 109904, 48706, 99750, 30512, 20379, 15024, 27704, 109013, 1811, 102433, 77181, 110441, 126462, 29295, 125119, 31431, 5486, 102616, 102208, 30590, 72661, 30590, 110441, 29295, 102404, 21990, 56051, 31431, 5486, 53610, 104698, 29295, 102404, 21990, 56051, 31431, 103792, 1811, 24, 13, 806, 16144, 102048, 234, 8107, 15682, 9080, 116137, 54, 109247, 29295, 87447, 113497, 110731, 1811, 32307, 70349, 16144, 101544, 60174, 68759, 32131, 118901, 29295, 27704, 117864, 123017, 1049, 17, 8107, 36785, 122262, 16995, 33503, 121568, 32977, 108695, 30512, 121355, 107436, 118326, 56051, 31431, 5486, 116499, 126268, 81219, 53900, 37656, 61337, 102351, 110276, 31431, 1811, 717, 8107, 112772, 124131, 103927, 114016, 112690, 17663, 33503, 104435, 1811, 120328, 23039, 43568, 40053, 102677, 112690, 29295, 17129, 30813, 20230, 21105, 96, 47884, 31431, 109749, 717, 8107, 103351, 19732, 78244, 105262, 108995, 9174, 30591, 33121, 55031, 33334, 16995, 33503, 15682, 67645, 33121, 103378, 13153, 101544, 56051, 120900, 32149, 1811, 118116, 119400, 112197, 16995, 33503, 15682, 112185, 102616, 16144, 108285, 30813, 30512, 102717, 19732, 124592, 53283, 33503, 104435, 122262, 16995, 33503, 103378, 104446, 103470, 38144, 43240, 119064, 17792, 125030, 76947, 102616, 15682, 91774, 58942, 100934, 121142, 5486, 103350, 107328, 30512, 99849, 32977, 113954, 109768, 104435, 25827, 110034, 108995, 32149, 1811, 16995, 17129, 15682, 102616, 29295, 105557, 116186, 104043, 31809, 30813, 115737, 100472, 104466, 112391, 30369, 1811, 102616, 16556, 125119, 30369, 67645, 103171, 109606, 32977, 105994, 102052, 43568, 116690, 36785, 107118, 120267, 102769, 33121, 123733, 103836, 9174, 24, 13, 806, 120950, 109335, 41920, 27479, 19732, 125119, 76947, 102717, 106624, 100604, 107493, 5486, 24, 13, 806, 122291, 55031, 16995, 17129, 16144, 102616, 107407, 107173, 78244, 105262, 113637, 127960, 15682, 105994, 105459, 104356, 16556, 18904, 103836, 113334, 111769, 1811, 43240, 119064, 17620, 33208, 115991, 5486, 43240, 119064, 114172, 102512, 107407, 109900, 108422, 33121, 29295, 127177, 29504, 30512, 113797, 30358, 54926, 118733, 67016, 50211, 34208, 15682, 106154, 102204, 100604, 106592, 127960, 17905, 20230, 101987, 104004, 17792, 127282, 48864, 102189, 116497, 36785, 109807, 105908, 102780, 20119, 115, 101983, 103836, 28190, 32977, 101182, 29295, 5486, 1049, 16, 8107, 126036, 679, 18, 116358, 118881, 29295, 17663, 81219, 114420, 102616, 103195, 19732, 33334, 16995, 33503, 15682, 120267, 102769, 104028, 9174, 102616, 16144, 50211, 34208, 15682, 104662, 39926, 30868, 247, 76947, 102532, 58318, 58942, 110071, 102944, 110034, 1811, 32149, 102083, 76947, 103787, 48634, 16556, 33563, 28713, 104028, 102944, 72661, 100604, 1811, 78698, 105262, 100909, 1811, 115364, 100909, 5486, 120007, 16144, 106592, 19732, 100909, 25827, 78698, 105262, 1811, 120007, 16144, 80195, 75267, 117084, 78698, 105262, 1811, 108895, 95604, 104468, 102433, 107707, 114363, 105525, 66378, 110008, 20230, 60358, 16995, 102944, 107407, 1811, 109860, 33334, 16995, 33503, 127282, 113727, 101200, 57980, 1811, 102616, 109853, 15682, 108285, 120195, 30369, 55031, 5486, 118322, 112772, 107991, 17792, 71289, 5486, 115364, 27384, 102769, 36785, 119150, 107707, 106592, 113727, 101200, 1811, 110924, 55031, 122617, 29295, 27704, 115464, 1811, 102616, 16144, 50211, 34208, 15682, 102131, 95604, 31809, 30813, 26854, 100909, 16144, 108882, 64121, 30358, 101832, 16556, 33563, 28713, 115032, 19732, 22023, 100204, 38144, 1811, 128001, 128000, 2, 108061, 253, 40474, 19732, 103429, 95221, 7, 103305, 40474, 7435, 113799, 12, 127413, 72404, 112825, 110904, 44971, 57207, 70563, 114308, 127413, 198, 103305, 40474, 7, 32943, 63212, 340, 86127, 104067, 114516, 15682, 106116, 117073, 95221, 17620, 71289, 106084, 30926, 20230, 76947, 113799, 100472, 31431, 5486, 104940, 102189, 31431, 5486, 116292, 15024, 102189, 31431, 5486, 113727, 120195, 115926, 5486, 121602, 102334, 31431, 54926, 105908, 57903, 33541, 113637, 125641, 15682, 102334, 76947, 110219, 16144, 100909, 119627, 5486, 105047, 20230, 103188, 21403, 108, 20230, 113799, 31431, 30512, 112854, 107800, 31431, 5486, 121602, 102334, 31431, 5486, 113116, 109904, 71634, 108744, 114475, 76622, 106307, 76622, 104533, 5486, 71493, 32131, 99959, 20230, 103826, 104680, 26854, 109161, 117375, 30512, 58318, 107290, 103801, 61689, 9174, 58426, 113702, 5486, 95221, 104473, 16144, 116348, 31431, 71289, 26274, 241, 101921, 239, 16144, 122502, 50834, 29295, 108267, 33121, 103429, 95221, 30512, 113801, 125119, 15024, 5486, 111571, 103397, 30512, 109161, 33208, 107726, 38144, 103801, 61689, 118844, 15682, 16325, 126784, 106063, 66378, 16144, 78698, 107800, 24273, 16556, 36896, 32943, 114218, 103305, 40474, 66383, 16995, 61689, 1811, 103305, 40474, 107118, 5486, 113799, 5486, 104940, 5486, 91763, 5486, 116292, 9458, 107063, 224, 5486, 121602, 16144, 125641, 30512, 30813, 78434, 1811, 113799, 31431, 15682, 57942, 251, 5486, 104940, 102802, 15682, 64209, 5486, 91763, 15682, 101171, 122, 5486, 116292, 9458, 107063, 224, 15682, 57942, 118, 5486, 121602, 15682, 101921, 236, 20230, 117375, 30512, 58318, 58942, 33541, 9174, 103350, 104983, 102052, 103305, 40474, 15682, 77693, 108422, 33121, 110904, 33014, 126194, 36896, 113799, 31431, 116292, 15024, 104004, 59712, 114284, 116292, 15024, 104004, 10646, 104309, 109242, 122202, 114556, 108826, 15024, 40862, 100472, 125641, 103306, 102321, 33121, 33541, 9174, 103305, 40474, 111848, 102404, 103429, 15682, 48915, 123296, 29295, 71493, 32131, 99959, 20230, 117976, 17701, 54926, 100909, 126194, 5486, 109467, 76208, 26274, 241, 30512, 114218, 59739, 107674, 31431, 5486, 95221, 104473, 16144, 116348, 31431, 30512, 108267, 17663, 100909, 112212, 102404, 103429, 78434, 1811, 113116, 109904, 112415, 30512, 40452, 54926, 13177, 64209, 10646, 29295, 108267, 104028, 19732, 5486, 95221, 16144, 116348, 31431, 30512, 40452, 54926, 13177, 57942, 251, 10646, 71289, 95221, 104473, 116825, 47884, 31431, 37087, 96356, 20230, 116348, 117063, 100934, 13177, 101171, 122, 118587, 125173, 114218, 107726, 33541, 1811, 27452, 116285, 5486, 103892, 124905, 16995, 120195, 38144, 127814, 104028, 19732, 13177, 64209, 66383, 13177, 101171, 122, 10646, 29295, 114218, 126268, 124195, 95221, 104473, 110176, 115534, 121711, 108948, 113351, 29295, 35894, 47884, 101182, 16995, 15682, 33334, 113351, 29295, 114485, 110104, 123160, 111571, 103397, 29295, 64121, 102204, 33541, 1811, 113799, 104533, 57942, 251, 16144, 116499, 95475, 73597, 252, 54926, 57942, 251, 95221, 106890, 109, 102971, 16144, 121894, 115717, 111528, 102064, 71289, 101171, 229, 29295, 108631, 115737, 100472, 31431, 78434, 1811, 34226, 20230, 109161, 33208, 112990, 95221, 19732, 104473, 29295, 73597, 252, 30369, 13177, 95221, 73597, 252, 104473, 114431, 222, 10646, 115717, 5486, 9953, 106613, 108631, 71289, 45829, 106496, 119049, 101921, 104, 104309, 29295, 64121, 102204, 33541, 9174, 113799, 198, 113799, 31431, 120195, 15682, 57942, 251, 20230, 109161, 117375, 30512, 58318, 58942, 33541, 1811, 57942, 251, 15682, 104473, 16144, 33857, 30512, 40452, 5486, 95221, 16144, 116348, 31431, 30512, 40452, 103792, 119154, 38641, 1811, 113799, 31431, 120195, 104533, 5486, 95221, 19732, 104473, 29295, 33014, 120938, 34048, 20230, 116900, 17905, 39926, 50834, 33541, 1811, 113799, 31431, 120195, 104533, 13177, 103892, 20230, 104473, 29295, 16144, 109416, 30369, 66383, 95604, 112690, 124905, 61689, 29295, 108048, 15682, 57942, 251, 16144, 122502, 50834, 103195, 95221, 104473, 16144, 116348, 31431, 71289, 33857, 30512, 40452, 54926, 102677, 122502, 50834, 29295, 103082, 123733, 76947, 114732, 55031, 38641, 1811, 111571, 103397, 103306, 15682, 5486, 30832, 29295, 109657, 115737, 100472, 31431, 5486, 103892, 108631, 5486, 62004, 17129, 16995, 5486, 114948, 22957, 31431, 104309, 30512, 113801, 125119, 78434, 118855, 5486, 25197, 102803, 32131, 15024, 126172, 115737, 100472, 31431, 5486, 116499, 116366, 110615, 95221, 106890, 109, 117084, 50834, 33541, 9174, 57942, 251, 16144, 106613, 117139, 15682, 33014, 16144, 110366, 28190, 20230, 33035, 103836, 105879, 5486, 110366, 28190, 20230, 111571, 103397, 29295, 102321, 33121, 33541, 1811, 27452, 116285, 5486, 103892, 108631, 72661, 74482, 34048, 29295, 108631, 104004, 16144, 126194, 5486, 110366, 28190, 29295, 108631, 47884, 109020, 105908, 127181, 38641, 1811, 30832, 32977, 33014, 16144, 110366, 28190, 103306, 15017, 231, 105262, 105879, 5486, 30832, 105352, 108901, 40053, 125334, 33541, 1811, 111140, 71289, 101171, 229, 29295, 105714, 31431, 126172, 115737, 100472, 31431, 54926, 123017, 57942, 251, 20230, 108901, 40053, 107407, 19732, 113727, 33541, 9174, 111482, 16144, 103429, 95221, 16144, 23, 111017, 15682, 57942, 251, 29295, 113385, 19732, 117952, 106824, 61689, 1811, 61826, 108680, 32977, 120267, 79721, 29295, 5486, 57942, 251, 15682, 104473, 16144, 33857, 30512, 40452, 54926, 119154, 38641, 1811, 111482, 102052, 9953, 106613, 115991, 5486, 9953, 106613, 20251, 32131, 112193, 15682, 57942, 251, 20230, 108901, 40053, 107407, 19732, 16325, 126784, 77181, 113727, 33541, 1811, 9953, 106613, 103188, 43240, 5486, 9953, 106613, 108631, 104309, 104309, 31195, 64209, 40265, 115926, 107407, 116537, 57942, 251, 19732, 89151, 119063, 121254, 50834, 40862, 30297, 109215, 115991, 33541, 101832, 9174, 113799, 31431, 126172, 16995, 17792, 102052, 5486, 95221, 16144, 116348, 31431, 30512, 114652, 54926, 117434, 104735, 111, 30512, 125764, 111243, 33503, 61689, 9174, 95221, 16144, 116348, 31431, 30512, 114652, 54926, 102456, 103234, 107118, 95532, 106157, 101832, 105557, 5486, 70563, 108941, 16073, 5486, 117262, 255, 5486, 17129, 104699, 85791, 5486, 60868, 16073, 103988, 57207, 5486, 76475, 239, 101057, 246, 104770, 5486, 102040, 109229, 104309, 198, 110241, 22398, 124603, 104309, 16556, 36896, 99849, 29295, 95221, 16144, 116348, 31431, 30512, 114652, 39926, 124089, 102189, 42891, 76622, 91006, 106046, 100472, 33503, 5486, 120098, 15682, 13177, 102765, 31431, 29295, 104712, 102944, 10646, 6447, 102765, 31431, 29295, 126521, 102456, 103234, 15682, 95221, 16144, 116348, 31431, 30512, 114652, 39926, 124089, 19732, 113727, 33541, 1811, 110241, 122571, 113799, 31431, 126172, 16995, 6447, 119150, 24273, 15682, 108882, 110993, 112535, 17905, 61304, 16144, 102456, 103234, 30512, 99046, 224, 18655, 39926, 64121, 38144, 72315, 101832, 9174, 95221, 16144, 116348, 31431, 30512, 114652, 54926, 112825, 110904, 33334, 125683, 62004, 44971, 57207, 70563, 198, 21555, 98, 101860, 32149, 102800, 16144, 119627, 115408, 32977, 5486, 113799, 31431, 108005, 121, 16995, 34171, 35083, 38641, 1811, 49838, 100844, 99, 100823, 20230, 13177, 104940, 113799, 20648, 222, 105465, 104446, 103470, 38144, 5486, 37087, 38144, 113799, 36785, 101832, 66383, 117952, 103468, 108680, 31195, 49838, 198, 107943, 113799, 103836, 86127, 72661, 108608, 112825, 110904, 26854, 44971, 57207, 70563, 30512, 48154, 126362, 78434, 101832, 40620, 198, 25197, 102803, 32131, 30512, 114408, 50834, 107850, 81219, 17663, 6447, 44971, 124373, 115464, 115464, 16, 102159, 17620, 33655, 100472, 44971, 124373, 91062, 61398, 198, 105021, 108321, 103705, 198, 12, 106156, 124373, 21980, 223, 220, 16, 102159, 17620, 198, 12, 59363, 107167, 103202, 220, 3965, 1029, 198, 12, 110936, 224, 117587, 7, 122571, 50834, 102802, 120843, 117587, 32149, 111199, 120843, 117587, 124905, 61689, 8, 220, 1399, 70, 198, 12, 111584, 231, 108270, 32131, 78459, 16073, 220, 20, 70, 198, 12, 116804, 109, 124527, 220, 3965, 1029, 198, 12, 110936, 224, 117587, 220, 605, 70, 198, 105021, 19967, 31431, 24273, 103705, 198, 12, 116804, 109, 124527, 20230, 120843, 117587, 220, 605, 70, 30512, 21601, 107290, 107960, 112371, 30369, 198, 12, 18049, 120, 32131, 78459, 16073, 15682, 53610, 27384, 30813, 100204, 17, 7, 17620, 33857, 48915, 8, 16556, 122026, 32149, 17663, 198, 12, 220, 16, 20230, 17, 30512, 21601, 58942, 107960, 112371, 5486, 44971, 124373, 21980, 223, 32977, 21601, 107290, 107960, 112371, 30369, 1811, 103672, 65299, 114615, 104792, 30512, 30320, 115, 53610, 20230, 30591, 38144, 5486, 103621, 91062, 102832, 32131, 16556, 107960, 112371, 106272, 106142, 71289, 15024, 19732, 85791, 64121, 116825, 105784, 198, 12, 20033, 98, 16144, 103672, 65299, 33710, 20230, 21990, 107167, 103202, 30512, 122939, 121697, 5486, 120843, 117587, 1399, 70, 30512, 17, 56040, 18, 18904, 20230, 17620, 76622, 5486, 102397, 17620, 121697, 20230, 122939, 121697, 30369, 198, 12, 220, 18, 19732, 19, 30512, 103621, 91062, 102832, 32131, 16556, 107960, 112371, 5486, 37729, 32648, 20230, 60634, 15024, 106142, 119154, 107086, 109156, 33121, 107608, 117864, 33503, 61648, 198, 14711, 220, 48154, 120999, 9458, 33334, 102782, 15024, 121423, 198, 109834, 103868, 126130, 110794, 16995, 90620, 50834, 97135, 61689, 1811, 8921, 328, 5048, 77181, 198, 122485, 115303, 31431, 110792, 103359, 87177, 30512, 33035, 100204, 38144, 5486, 33014, 105284, 102178, 111665, 55031, 5486, 16937, 104873, 16144, 119045, 113385, 5486, 23226, 106594, 105226, 30512, 71493, 115691, 64810, 122835, 109768, 50834, 33541, 1811, 112073, 103826, 107898, 38093, 16995 ]
[ 108608, 106592, 105465, 21105, 123, 116446, 61689, 1811, 128001, 128000, 103478, 96412, 106699, 87447, 111656, 9458, 124758, 58911, 21688, 244, 105330, 27384, 59999, 100, 37656, 102700, 16144, 44620, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 116326, 50211, 103232, 121225, 119735, 5486, 106307, 104817, 19732, 114146, 38144, 9039, 102718, 32307, 34048, 117282, 5486, 106699, 100927, 102181, 103306, 15682, 108901, 27452, 126636, 102832, 71634, 64810, 109554, 115717, 79721, 118844, 15682, 98499, 64121, 126172, 16995, 106272, 32977, 102987, 16995, 44915, 16556, 115847, 30512, 98499, 104004, 118733, 17792, 21990, 114181, 15682, 15120, 104721, 54926, 32149, 110241, 33121, 107515, 1811, 126843, 15682, 5486, 67645, 120950, 22656, 26854, 104865, 5486, 32149, 108064, 17129, 104127, 122984, 103801, 109954, 9174, 567, 107301, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 36761, 107118, 198, 13177, 106154, 106528, 124121, 114792, 38144, 112677, 46729, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 10646, 15682, 5486, 37656, 102800, 61826, 111656, 84844, 113598, 19732, 106154, 106528, 124121, 114792, 59739, 100909, 16144, 107693, 34171, 30512, 108323, 102334, 22656, 38641, 9174, 21105, 108, 21105, 108, 36896, 43240, 119064, 114516, 102052, 106154, 106528, 124121, 29295, 107991, 66383, 32149, 36896, 96356, 60358, 126636, 102769, 26854, 24273, 71289, 5486, 101544, 8107, 115364, 106592, 91763, 76947, 102532, 122396, 24273, 29295, 102625, 123090, 106154, 106528, 124121, 121711, 5486, 103768, 95221, 30512, 45736, 107436, 124089, 66383, 108323, 47884, 114754, 61689, 29295, 115847, 15682, 37087, 119064, 56965, 108010, 117201, 5486, 102717, 19732, 124592, 124911, 102052, 106154, 106528, 124121, 112987, 107515, 118844, 15682, 5486, 102717, 19732, 124592, 124911, 5486, 102717, 19732, 124592, 16144, 118006, 102052, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 29295, 108086, 106116, 105933, 16937, 27699, 226, 26854, 110229, 102052, 106154, 106528, 124121, 102677, 45736, 104297, 124121, 15682, 104989, 122678, 84389, 100604, 55031, 116787, 5486, 53900, 106154, 106528, 124121, 114792, 59739, 102052, 119389, 26854, 23951, 25333, 29295, 109215, 109860, 38641, 9174, 102131, 104655, 126145, 115515, 103296, 16144, 115364, 53283, 109375, 19732, 37087, 47884, 108010, 30297, 120266, 121602, 47884, 32149, 110241, 33121, 107515, 1811, 106154, 106528, 124121, 16144, 103350, 50021, 20230, 109834, 103868, 16144, 101182, 24273, 5486, 126920, 37656, 102800, 61826, 111656, 84844, 113598, 30512, 53283, 31431, 106956, 24273, 15682, 123213, 102181, 126130, 98499, 64121, 26854, 104533, 57980, 117201, 109954, 9174, 567, 66556, 116, 108847, 16144, 44915, 198, 44620, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 36761, 15682, 36896, 30537, 71567, 254, 46028, 113170, 112568, 15682, 124121, 19732, 42016, 104157, 103792, 59712, 30537, 71567, 94, 46028, 108453, 26269, 99959, 16144, 108323, 47884, 113663, 25766, 119, 19732, 108436, 21990, 59712, 30537, 71567, 95, 46028, 42579, 230, 106528, 124121, 114792, 38144, 117503, 18, 46028, 55031, 13153, 31431, 118013, 33541, 9174, 13177, 30537, 71567, 254, 46028, 113170, 112568, 15682, 124121, 19732, 42016, 104157, 103792, 10646, 77181, 5486, 107707, 101987, 104004, 102321, 47523, 102616, 19732, 124121, 9554, 102616, 15682, 28741, 30177, 114556, 108826, 126020, 5486, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 15682, 37271, 30512, 123726, 100934, 17792, 104680, 20230, 104195, 16995, 117375, 30512, 82317, 109416, 103792, 106592, 5486, 103350, 27452, 30512, 123680, 102639, 106272, 50338, 108323, 126020, 33541, 9174, 106307, 47884, 13177, 30537, 71567, 94, 46028, 108453, 26269, 99959, 16144, 108323, 47884, 113663, 25766, 119, 19732, 108436, 21990, 10646, 77181, 108948, 13393, 230, 10287, 99, 118969, 16144, 100927, 25333, 30512, 53283, 30369, 100909, 16144, 108608, 121821, 16144, 106613, 105586, 103195, 44620, 103478, 96412, 106613, 36761, 30512, 32977, 19732, 116446, 108948, 13393, 230, 10287, 99, 118969, 29295, 91774, 33035, 103646, 113663, 25766, 119, 19732, 108436, 21990, 102677, 5486, 118958, 16144, 117475, 16144, 110783, 30512, 108323, 50834, 31958, 32149, 126020, 33541, 9174, 114626, 16144, 13177, 30537, 71567, 95, 46028, 42579, 230, 106528, 124121, 114792, 38144, 10646, 77181, 5486, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 16144, 89151, 16144, 110783, 19732, 5486, 37656, 102800, 61826, 111656, 84844, 113598, 109853, 50338, 108323, 15024, 5486, 115143, 102052, 13153, 6271, 237, 103792, 45736, 104297, 124121, 20230, 106154, 106528, 124121, 104856, 107462, 90620, 47884, 124122, 119389, 26854, 84844, 113598, 109853, 78244, 82317, 127145, 1811, 126920, 37656, 102800, 61826, 111656, 84844, 113598, 30512, 53283, 30369, 102052, 5486, 59614, 98499, 16144, 102181, 19732, 78244, 58942, 33541, 9174, 567, 66556, 116, 108847, 30512, 98499, 25827, 72661, 33503, 102334, 16995, 17792, 198, 46729, 103768, 15682, 47260, 52414, 42634, 64178, 118765, 5486, 16937, 103768, 15682, 101790, 99, 109315, 67016, 100604, 5486, 106046, 103836, 114754, 107991, 32149, 110241, 33121, 107515, 119520, 106116, 16937, 103768, 16144, 105572, 113385, 15682, 5486, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 103195, 125396, 29295, 108008, 20230, 45736, 117714, 38641, 9174, 13177, 114774, 5486, 117591, 77181, 8107, 26203, 234, 25333, 31634, 30512, 59614, 101860, 125338, 108086, 5486, 6271, 237, 45826, 229, 107898, 84844, 58942, 53953, 30512, 39926, 108948, 124652, 74843, 31431, 32977, 103792, 66383, 33334, 42891, 116826, 30369, 32149, 110241, 33121, 107515, 29295, 108048, 29295, 13177, 37656, 102800, 25333, 20230, 16144, 104043, 100472, 61826, 111656, 84844, 113598, 10646, 16556, 123207, 5486, 61826, 111656, 15682, 13153, 6271, 237, 103082, 101860, 20230, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 117084, 103801, 61689, 118855, 5486, 124121, 108502, 16144, 103927, 20251, 102663, 20230, 103296, 26854, 103836, 61826, 111656, 15682, 5486, 72238, 107707, 84844, 113598, 77181, 13153, 6271, 237, 124545, 109335, 103082, 107515, 1811, 13153, 6271, 237, 25333, 20230, 16144, 104043, 100472, 13153, 6271, 237, 48634, 16144, 101182, 84844, 113598, 16556, 123207, 5486, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 15682, 13153, 6271, 237, 21105, 103, 117714, 38641, 9174, 53900, 5486, 116537, 106154, 106528, 124121, 114792, 59739, 118733, 126462, 111108, 30512, 111098, 76622, 5486, 106515, 103768, 124259, 106839, 32149, 104028, 16144, 119627, 5486, 106154, 106528, 124121, 29295, 109683, 20230, 104874, 78183, 30369, 109335, 110993, 107436, 24615, 222, 38641, 118844, 15682, 5486, 106154, 106528, 124121, 114792, 59739, 102052, 121019, 16144, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 125001, 100604, 105908, 25580, 29172, 116787, 5486, 115143, 102052, 106154, 106528, 124121, 101983, 104028, 111656, 124121, 15682, 45736, 104297, 124121, 103195, 109215, 115991, 5486, 115143, 102052, 119389, 26854, 25333, 30512, 23951, 21105, 103, 16995, 19732, 106116, 105933, 45736, 104297, 124121, 15682, 101083, 121538, 16144, 102321, 47523, 102616, 102416, 104989, 31431, 38144, 50834, 38144, 5486, 106154, 106528, 124121, 104856, 76947, 47884, 110615, 55031, 38641, 9174, 80539, 106116, 106154, 106528, 124121, 114792, 59739, 108729, 15682, 5486, 37026, 33503, 29295, 37656, 102800, 61826, 111656, 84844, 113598, 117824, 103836, 100909, 115717, 33541, 1811, 126843, 15682, 5486, 37656, 102800, 61826, 111656, 84844, 113598, 16556, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 30512, 13153, 6271, 237, 124545, 1811, 110924, 55031, 115364, 103768, 95221, 15682, 108436, 109033, 15024, 5486, 106154, 106528, 124121, 32977, 107141, 126469, 5486, 89151, 16144, 125098, 30512, 105564, 109315, 101200, 108176, 16144, 38641, 9174, 16937, 103768, 20230, 127379, 47884, 17792, 5486, 16937, 106515, 30512, 103001, 228, 47884, 116537, 5486, 126843, 51330, 22656, 126130, 98499, 64121, 101983, 104533, 57980, 117201, 109954, 1811, 110924, 55031, 103768, 95221, 16144, 108436, 109033, 29295, 27704, 109709, 33541, 9174, 567, 220, 67645, 120950, 107734, 20230, 80195, 59739, 104865, 198, 17792, 32977, 117430, 19732, 112361, 104466, 102831, 42891, 22957, 114792, 76947, 108086, 108048, 15682, 104398, 32149, 47884, 17620, 58699, 238, 126020, 33541, 1811, 107707, 102831, 42891, 109335, 59739, 109709, 61826, 111656, 38641, 1811, 61826, 111656, 16144, 124121, 16144, 106515, 16937, 106515, 29295, 5486, 115364, 17792, 21990, 16144, 106515, 16937, 106515, 30512, 118396, 103792, 16144, 38641, 1811, 61826, 111656, 107118, 103768, 95221, 16144, 102831, 42891, 22957, 126529, 38641, 1811, 117430, 32977, 102831, 42891, 22957, 29295, 103429, 95221, 101983, 104984, 20119, 107, 33121, 100481, 50834, 33541, 29295, 5486, 114516, 32977, 112361, 38641, 1811, 61826, 111656, 107809, 20230, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 125001, 104984, 5486, 107707, 103768, 51609, 32977, 110480, 104346, 112624, 13821, 228, 102052, 16995, 50834, 107515, 9174, 16937, 106515, 9458, 126462, 111108, 30512, 21418, 50834, 5486, 121568, 19732, 118006, 16144, 46729, 103768, 30512, 45736, 62004, 106956, 102677, 24273, 15682, 5486, 126843, 15682, 61826, 111656, 113115, 54926, 37656, 102800, 53283, 109375, 29295, 109947, 124490, 38641, 1811, 112371, 104328, 44620, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 36761, 30512, 98499, 104127, 64121, 38144, 72315, 9174, 567, 220, 123011, 62004, 198, 44620, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 36761, 15682, 5486, 37656, 102800, 61826, 111656, 84844, 113598, 5486, 37656, 102800, 106154, 106528, 124121, 114181, 30512, 100927, 107290, 120700, 33541, 1811, 106515, 72342, 26854, 17792, 102416, 21990, 16144, 64467, 13393, 251, 105352, 109020, 102181, 108847, 118816, 78244, 58942, 33541, 1811, 128001, 128000, 101200, 127105, 36896, 108777, 104858, 50211, 51385, 110164, 121040, 10646, 102416, 198, 48154, 17701, 48864, 33334, 62004, 16556, 78699, 123231, 9174, 22656, 117073, 27704, 101275, 29430, 16556, 55487, 52927, 56051, 47260, 61398, 118597, 38641, 9174, 47260, 61398, 118597, 16144, 120613, 13177, 102465, 118368, 58666, 119883, 10646, 15682, 5486, 108777, 104858, 50211, 51385, 110164, 121040, 16556, 44620, 105994, 102677, 13177, 102465, 118587, 13177, 118368, 10646, 102532, 13177, 58666, 10646, 106624, 13177, 119883, 10646, 47884, 104734, 102465, 117084, 124305, 101275, 39926, 102717, 102800, 6447, 36761, 102677, 48864, 8107, 57326, 77750, 108744, 106529, 49988, 108638, 16144, 124730, 30512, 104526, 109013, 102944, 38641, 9174, 108618, 104611, 106272, 31958, 9080, 105755, 122678, 39177, 105677, 101467, 115717, 33541, 29295, 36896, 102465, 118587, 13177, 118368, 10646, 47884, 37689, 109375, 114792, 76947, 5486, 113614, 20230, 104650, 37689, 39926, 106045, 108630, 37656, 102800, 104654, 30512, 37705, 76947, 72315, 9174, 15682, 100204, 62004, 17129, 39926, 1811, 48864, 8107, 34048, 101544, 16144, 104500, 101129, 80866, 104521, 104703, 38641, 1811, 57980, 85791, 106624, 33334, 124730, 102334, 78434, 9174, 22656, 9080, 5486, 43568, 30926, 20230, 17039, 17701, 21990, 109156, 48864, 110008, 31540, 30512, 16995, 90620, 50834, 5486, 37087, 101467, 21990, 107263, 19732, 107173, 20230, 17039, 110895, 17039, 48864, 23538, 29295, 27704, 101275, 84389, 79721, 123601, 37507, 105110, 5486, 31958, 9080, 55031, 50211, 40053, 107141, 101275, 29295, 27704, 109709, 104575, 104654, 29295, 120870, 20230, 105335, 84477, 54926, 110229, 16556, 56051, 29295, 5486, 44597, 9953, 60596, 9080, 103296, 16144, 122678, 39177, 105677, 101467, 116876, 22324, 30512, 18655, 30369, 100909, 121711, 79721, 9174, 107118, 16995, 58942, 5486, 105335, 84477, 15682, 104004, 101860, 32149, 102800, 1811, 28741, 27479, 16144, 126574, 5486, 80195, 105647, 26854, 105335, 84477, 30512, 102769, 30369, 103846, 102052, 108048, 103378, 16144, 41642, 28037, 100990, 123, 28741, 26854, 107253, 104874, 19732, 12870, 250, 61994, 28713, 30369, 104662, 37689, 29295, 109215, 38641, 124845, 108048, 105352, 17129, 39926, 50211, 40053, 124911, 21990, 113115, 54926, 110783, 110095, 16144, 37656, 21105, 243, 29295, 105318, 84389, 33541, 1811, 50211, 40053, 64209, 21043, 45893, 16556, 123207, 102083, 126832, 106644, 58942, 104127, 109954, 101832, 1811, 90962, 107805, 70563, 48552, 16144, 115350, 105459, 125001, 111201, 105335, 84477, 30512, 27384, 102769, 20230, 56051, 32149, 106116, 113009, 50211, 40053, 118544, 102052, 102639, 102800, 20251, 44971, 118928, 94550, 30512, 71289, 100472, 32149, 30512, 5486, 23226, 107436, 114284, 125119, 56051, 16995, 66327, 105335, 84477, 30512, 21105, 96, 107277, 10646, 125651, 9174, 110589, 15682, 22656, 112622, 108553, 55031, 52927, 100927, 104599, 16144, 105635, 119506, 14608, 108, 30, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 1811, 81191, 20713, 68093, 110895, 114626, 16144, 6271, 237, 74843, 103195, 9174, 13177, 6271, 237, 25333, 107118, 105994, 30512, 53283, 30369, 100909, 111329, 13177, 124807, 39880, 77750, 76171, 103988, 99959, 105048, 10110, 4568, 304, 279, 12538, 7705, 10646, 102677, 106592, 53283, 76947, 61689, 32149, 11571, 45631, 109163, 71289, 64121, 107809, 113245, 103359, 87177, 59712, 76208, 99750, 16556, 112391, 18655, 30369, 66383, 95604, 102944, 16556, 5486, 89151, 42891, 109163, 13357, 229, 107809, 16556, 5486, 103984, 112854, 116749, 16144, 99750, 112854, 16556, 112391, 18655, 30369, 106592, 54926, 64810, 26269, 104272, 38641, 113637, 64810, 26269, 104272, 102052, 13177, 71289, 64121, 16144, 118347, 105988, 124766, 66383, 127173, 104028, 13177, 36735, 112, 112854, 108502, 125001, 30046, 10646, 29295, 47000, 32149, 33121, 33541, 9174, 122485, 15120, 114754, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 31431, 109163, 71289, 64121, 30512, 125683, 64121, 33541, 1811, 71289, 64121, 15682, 119467, 16995, 102944, 38641, 1811, 72661, 118347, 105988, 124766, 117758, 104257, 121370, 26854, 64467, 20379, 16556, 5486, 64467, 20379, 110731, 110229, 103296, 23039, 50834, 79721, 66327, 104405, 108422, 33334, 103605, 31431, 72315, 66383, 117952, 103468, 110018, 36896, 71289, 64121, 109860, 17620 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 106592, 105465, 21105, 123, 116446, 61689, 1811, 128001, 128000, 103478, 96412, 106699, 87447, 111656, 9458, 124758, 58911, 21688, 244, 105330, 27384, 59999, 100, 37656, 102700, 16144, 44620, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 116326, 50211, 103232, 121225, 119735, 5486, 106307, 104817, 19732, 114146, 38144, 9039, 102718, 32307, 34048, 117282, 5486, 106699, 100927, 102181, 103306, 15682, 108901, 27452, 126636, 102832, 71634, 64810, 109554, 115717, 79721, 118844, 15682, 98499, 64121, 126172, 16995, 106272, 32977, 102987, 16995, 44915, 16556, 115847, 30512, 98499, 104004, 118733, 17792, 21990, 114181, 15682, 15120, 104721, 54926, 32149, 110241, 33121, 107515, 1811, 126843, 15682, 5486, 67645, 120950, 22656, 26854, 104865, 5486, 32149, 108064, 17129, 104127, 122984, 103801, 109954, 9174, 567, 107301, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 36761, 107118, 198, 13177, 106154, 106528, 124121, 114792, 38144, 112677, 46729, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 10646, 15682, 5486, 37656, 102800, 61826, 111656, 84844, 113598, 19732, 106154, 106528, 124121, 114792, 59739, 100909, 16144, 107693, 34171, 30512, 108323, 102334, 22656, 38641, 9174, 21105, 108, 21105, 108, 36896, 43240, 119064, 114516, 102052, 106154, 106528, 124121, 29295, 107991, 66383, 32149, 36896, 96356, 60358, 126636, 102769, 26854, 24273, 71289, 5486, 101544, 8107, 115364, 106592, 91763, 76947, 102532, 122396, 24273, 29295, 102625, 123090, 106154, 106528, 124121, 121711, 5486, 103768, 95221, 30512, 45736, 107436, 124089, 66383, 108323, 47884, 114754, 61689, 29295, 115847, 15682, 37087, 119064, 56965, 108010, 117201, 5486, 102717, 19732, 124592, 124911, 102052, 106154, 106528, 124121, 112987, 107515, 118844, 15682, 5486, 102717, 19732, 124592, 124911, 5486, 102717, 19732, 124592, 16144, 118006, 102052, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 29295, 108086, 106116, 105933, 16937, 27699, 226, 26854, 110229, 102052, 106154, 106528, 124121, 102677, 45736, 104297, 124121, 15682, 104989, 122678, 84389, 100604, 55031, 116787, 5486, 53900, 106154, 106528, 124121, 114792, 59739, 102052, 119389, 26854, 23951, 25333, 29295, 109215, 109860, 38641, 9174, 102131, 104655, 126145, 115515, 103296, 16144, 115364, 53283, 109375, 19732, 37087, 47884, 108010, 30297, 120266, 121602, 47884, 32149, 110241, 33121, 107515, 1811, 106154, 106528, 124121, 16144, 103350, 50021, 20230, 109834, 103868, 16144, 101182, 24273, 5486, 126920, 37656, 102800, 61826, 111656, 84844, 113598, 30512, 53283, 31431, 106956, 24273, 15682, 123213, 102181, 126130, 98499, 64121, 26854, 104533, 57980, 117201, 109954, 9174, 567, 66556, 116, 108847, 16144, 44915, 198, 44620, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 36761, 15682, 36896, 30537, 71567, 254, 46028, 113170, 112568, 15682, 124121, 19732, 42016, 104157, 103792, 59712, 30537, 71567, 94, 46028, 108453, 26269, 99959, 16144, 108323, 47884, 113663, 25766, 119, 19732, 108436, 21990, 59712, 30537, 71567, 95, 46028, 42579, 230, 106528, 124121, 114792, 38144, 117503, 18, 46028, 55031, 13153, 31431, 118013, 33541, 9174, 13177, 30537, 71567, 254, 46028, 113170, 112568, 15682, 124121, 19732, 42016, 104157, 103792, 10646, 77181, 5486, 107707, 101987, 104004, 102321, 47523, 102616, 19732, 124121, 9554, 102616, 15682, 28741, 30177, 114556, 108826, 126020, 5486, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 15682, 37271, 30512, 123726, 100934, 17792, 104680, 20230, 104195, 16995, 117375, 30512, 82317, 109416, 103792, 106592, 5486, 103350, 27452, 30512, 123680, 102639, 106272, 50338, 108323, 126020, 33541, 9174, 106307, 47884, 13177, 30537, 71567, 94, 46028, 108453, 26269, 99959, 16144, 108323, 47884, 113663, 25766, 119, 19732, 108436, 21990, 10646, 77181, 108948, 13393, 230, 10287, 99, 118969, 16144, 100927, 25333, 30512, 53283, 30369, 100909, 16144, 108608, 121821, 16144, 106613, 105586, 103195, 44620, 103478, 96412, 106613, 36761, 30512, 32977, 19732, 116446, 108948, 13393, 230, 10287, 99, 118969, 29295, 91774, 33035, 103646, 113663, 25766, 119, 19732, 108436, 21990, 102677, 5486, 118958, 16144, 117475, 16144, 110783, 30512, 108323, 50834, 31958, 32149, 126020, 33541, 9174, 114626, 16144, 13177, 30537, 71567, 95, 46028, 42579, 230, 106528, 124121, 114792, 38144, 10646, 77181, 5486, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 16144, 89151, 16144, 110783, 19732, 5486, 37656, 102800, 61826, 111656, 84844, 113598, 109853, 50338, 108323, 15024, 5486, 115143, 102052, 13153, 6271, 237, 103792, 45736, 104297, 124121, 20230, 106154, 106528, 124121, 104856, 107462, 90620, 47884, 124122, 119389, 26854, 84844, 113598, 109853, 78244, 82317, 127145, 1811, 126920, 37656, 102800, 61826, 111656, 84844, 113598, 30512, 53283, 30369, 102052, 5486, 59614, 98499, 16144, 102181, 19732, 78244, 58942, 33541, 9174, 567, 66556, 116, 108847, 30512, 98499, 25827, 72661, 33503, 102334, 16995, 17792, 198, 46729, 103768, 15682, 47260, 52414, 42634, 64178, 118765, 5486, 16937, 103768, 15682, 101790, 99, 109315, 67016, 100604, 5486, 106046, 103836, 114754, 107991, 32149, 110241, 33121, 107515, 119520, 106116, 16937, 103768, 16144, 105572, 113385, 15682, 5486, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 103195, 125396, 29295, 108008, 20230, 45736, 117714, 38641, 9174, 13177, 114774, 5486, 117591, 77181, 8107, 26203, 234, 25333, 31634, 30512, 59614, 101860, 125338, 108086, 5486, 6271, 237, 45826, 229, 107898, 84844, 58942, 53953, 30512, 39926, 108948, 124652, 74843, 31431, 32977, 103792, 66383, 33334, 42891, 116826, 30369, 32149, 110241, 33121, 107515, 29295, 108048, 29295, 13177, 37656, 102800, 25333, 20230, 16144, 104043, 100472, 61826, 111656, 84844, 113598, 10646, 16556, 123207, 5486, 61826, 111656, 15682, 13153, 6271, 237, 103082, 101860, 20230, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 117084, 103801, 61689, 118855, 5486, 124121, 108502, 16144, 103927, 20251, 102663, 20230, 103296, 26854, 103836, 61826, 111656, 15682, 5486, 72238, 107707, 84844, 113598, 77181, 13153, 6271, 237, 124545, 109335, 103082, 107515, 1811, 13153, 6271, 237, 25333, 20230, 16144, 104043, 100472, 13153, 6271, 237, 48634, 16144, 101182, 84844, 113598, 16556, 123207, 5486, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 15682, 13153, 6271, 237, 21105, 103, 117714, 38641, 9174, 53900, 5486, 116537, 106154, 106528, 124121, 114792, 59739, 118733, 126462, 111108, 30512, 111098, 76622, 5486, 106515, 103768, 124259, 106839, 32149, 104028, 16144, 119627, 5486, 106154, 106528, 124121, 29295, 109683, 20230, 104874, 78183, 30369, 109335, 110993, 107436, 24615, 222, 38641, 118844, 15682, 5486, 106154, 106528, 124121, 114792, 59739, 102052, 121019, 16144, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 125001, 100604, 105908, 25580, 29172, 116787, 5486, 115143, 102052, 106154, 106528, 124121, 101983, 104028, 111656, 124121, 15682, 45736, 104297, 124121, 103195, 109215, 115991, 5486, 115143, 102052, 119389, 26854, 25333, 30512, 23951, 21105, 103, 16995, 19732, 106116, 105933, 45736, 104297, 124121, 15682, 101083, 121538, 16144, 102321, 47523, 102616, 102416, 104989, 31431, 38144, 50834, 38144, 5486, 106154, 106528, 124121, 104856, 76947, 47884, 110615, 55031, 38641, 9174, 80539, 106116, 106154, 106528, 124121, 114792, 59739, 108729, 15682, 5486, 37026, 33503, 29295, 37656, 102800, 61826, 111656, 84844, 113598, 117824, 103836, 100909, 115717, 33541, 1811, 126843, 15682, 5486, 37656, 102800, 61826, 111656, 84844, 113598, 16556, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 30512, 13153, 6271, 237, 124545, 1811, 110924, 55031, 115364, 103768, 95221, 15682, 108436, 109033, 15024, 5486, 106154, 106528, 124121, 32977, 107141, 126469, 5486, 89151, 16144, 125098, 30512, 105564, 109315, 101200, 108176, 16144, 38641, 9174, 16937, 103768, 20230, 127379, 47884, 17792, 5486, 16937, 106515, 30512, 103001, 228, 47884, 116537, 5486, 126843, 51330, 22656, 126130, 98499, 64121, 101983, 104533, 57980, 117201, 109954, 1811, 110924, 55031, 103768, 95221, 16144, 108436, 109033, 29295, 27704, 109709, 33541, 9174, 567, 220, 67645, 120950, 107734, 20230, 80195, 59739, 104865, 198, 17792, 32977, 117430, 19732, 112361, 104466, 102831, 42891, 22957, 114792, 76947, 108086, 108048, 15682, 104398, 32149, 47884, 17620, 58699, 238, 126020, 33541, 1811, 107707, 102831, 42891, 109335, 59739, 109709, 61826, 111656, 38641, 1811, 61826, 111656, 16144, 124121, 16144, 106515, 16937, 106515, 29295, 5486, 115364, 17792, 21990, 16144, 106515, 16937, 106515, 30512, 118396, 103792, 16144, 38641, 1811, 61826, 111656, 107118, 103768, 95221, 16144, 102831, 42891, 22957, 126529, 38641, 1811, 117430, 32977, 102831, 42891, 22957, 29295, 103429, 95221, 101983, 104984, 20119, 107, 33121, 100481, 50834, 33541, 29295, 5486, 114516, 32977, 112361, 38641, 1811, 61826, 111656, 107809, 20230, 16937, 13153, 6271, 237, 124121, 9458, 124121, 108502, 16144, 103927, 20251, 102663, 125001, 104984, 5486, 107707, 103768, 51609, 32977, 110480, 104346, 112624, 13821, 228, 102052, 16995, 50834, 107515, 9174, 16937, 106515, 9458, 126462, 111108, 30512, 21418, 50834, 5486, 121568, 19732, 118006, 16144, 46729, 103768, 30512, 45736, 62004, 106956, 102677, 24273, 15682, 5486, 126843, 15682, 61826, 111656, 113115, 54926, 37656, 102800, 53283, 109375, 29295, 109947, 124490, 38641, 1811, 112371, 104328, 44620, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 36761, 30512, 98499, 104127, 64121, 38144, 72315, 9174, 567, 220, 123011, 62004, 198, 44620, 106154, 106528, 124121, 114792, 38144, 111279, 103768, 30512, 114652, 54926, 37656, 102800, 61826, 111656, 16144, 17129, 59739, 31431, 24273, 36761, 15682, 5486, 37656, 102800, 61826, 111656, 84844, 113598, 5486, 37656, 102800, 106154, 106528, 124121, 114181, 30512, 100927, 107290, 120700, 33541, 1811, 106515, 72342, 26854, 17792, 102416, 21990, 16144, 64467, 13393, 251, 105352, 109020, 102181, 108847, 118816, 78244, 58942, 33541, 1811, 128001, 128000, 101200, 127105, 36896, 108777, 104858, 50211, 51385, 110164, 121040, 10646, 102416, 198, 48154, 17701, 48864, 33334, 62004, 16556, 78699, 123231, 9174, 22656, 117073, 27704, 101275, 29430, 16556, 55487, 52927, 56051, 47260, 61398, 118597, 38641, 9174, 47260, 61398, 118597, 16144, 120613, 13177, 102465, 118368, 58666, 119883, 10646, 15682, 5486, 108777, 104858, 50211, 51385, 110164, 121040, 16556, 44620, 105994, 102677, 13177, 102465, 118587, 13177, 118368, 10646, 102532, 13177, 58666, 10646, 106624, 13177, 119883, 10646, 47884, 104734, 102465, 117084, 124305, 101275, 39926, 102717, 102800, 6447, 36761, 102677, 48864, 8107, 57326, 77750, 108744, 106529, 49988, 108638, 16144, 124730, 30512, 104526, 109013, 102944, 38641, 9174, 108618, 104611, 106272, 31958, 9080, 105755, 122678, 39177, 105677, 101467, 115717, 33541, 29295, 36896, 102465, 118587, 13177, 118368, 10646, 47884, 37689, 109375, 114792, 76947, 5486, 113614, 20230, 104650, 37689, 39926, 106045, 108630, 37656, 102800, 104654, 30512, 37705, 76947, 72315, 9174, 15682, 100204, 62004, 17129, 39926, 1811, 48864, 8107, 34048, 101544, 16144, 104500, 101129, 80866, 104521, 104703, 38641, 1811, 57980, 85791, 106624, 33334, 124730, 102334, 78434, 9174, 22656, 9080, 5486, 43568, 30926, 20230, 17039, 17701, 21990, 109156, 48864, 110008, 31540, 30512, 16995, 90620, 50834, 5486, 37087, 101467, 21990, 107263, 19732, 107173, 20230, 17039, 110895, 17039, 48864, 23538, 29295, 27704, 101275, 84389, 79721, 123601, 37507, 105110, 5486, 31958, 9080, 55031, 50211, 40053, 107141, 101275, 29295, 27704, 109709, 104575, 104654, 29295, 120870, 20230, 105335, 84477, 54926, 110229, 16556, 56051, 29295, 5486, 44597, 9953, 60596, 9080, 103296, 16144, 122678, 39177, 105677, 101467, 116876, 22324, 30512, 18655, 30369, 100909, 121711, 79721, 9174, 107118, 16995, 58942, 5486, 105335, 84477, 15682, 104004, 101860, 32149, 102800, 1811, 28741, 27479, 16144, 126574, 5486, 80195, 105647, 26854, 105335, 84477, 30512, 102769, 30369, 103846, 102052, 108048, 103378, 16144, 41642, 28037, 100990, 123, 28741, 26854, 107253, 104874, 19732, 12870, 250, 61994, 28713, 30369, 104662, 37689, 29295, 109215, 38641, 124845, 108048, 105352, 17129, 39926, 50211, 40053, 124911, 21990, 113115, 54926, 110783, 110095, 16144, 37656, 21105, 243, 29295, 105318, 84389, 33541, 1811, 50211, 40053, 64209, 21043, 45893, 16556, 123207, 102083, 126832, 106644, 58942, 104127, 109954, 101832, 1811, 90962, 107805, 70563, 48552, 16144, 115350, 105459, 125001, 111201, 105335, 84477, 30512, 27384, 102769, 20230, 56051, 32149, 106116, 113009, 50211, 40053, 118544, 102052, 102639, 102800, 20251, 44971, 118928, 94550, 30512, 71289, 100472, 32149, 30512, 5486, 23226, 107436, 114284, 125119, 56051, 16995, 66327, 105335, 84477, 30512, 21105, 96, 107277, 10646, 125651, 9174, 110589, 15682, 22656, 112622, 108553, 55031, 52927, 100927, 104599, 16144, 105635, 119506, 14608, 108, 30, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 1811, 81191, 20713, 68093, 110895, 114626, 16144, 6271, 237, 74843, 103195, 9174, 13177, 6271, 237, 25333, 107118, 105994, 30512, 53283, 30369, 100909, 111329, 13177, 124807, 39880, 77750, 76171, 103988, 99959, 105048, 10110, 4568, 304, 279, 12538, 7705, 10646, 102677, 106592, 53283, 76947, 61689, 32149, 11571, 45631, 109163, 71289, 64121, 107809, 113245, 103359, 87177, 59712, 76208, 99750, 16556, 112391, 18655, 30369, 66383, 95604, 102944, 16556, 5486, 89151, 42891, 109163, 13357, 229, 107809, 16556, 5486, 103984, 112854, 116749, 16144, 99750, 112854, 16556, 112391, 18655, 30369, 106592, 54926, 64810, 26269, 104272, 38641, 113637, 64810, 26269, 104272, 102052, 13177, 71289, 64121, 16144, 118347, 105988, 124766, 66383, 127173, 104028, 13177, 36735, 112, 112854, 108502, 125001, 30046, 10646, 29295, 47000, 32149, 33121, 33541, 9174, 122485, 15120, 114754, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 31431, 109163, 71289, 64121, 30512, 125683, 64121, 33541, 1811, 71289, 64121, 15682, 119467, 16995, 102944, 38641, 1811, 72661, 118347, 105988, 124766, 117758, 104257, 121370, 26854, 64467, 20379, 16556, 5486, 64467, 20379, 110731, 110229, 103296, 23039, 50834, 79721, 66327, 104405, 108422, 33334, 103605, 31431, 72315, 66383, 117952, 103468, 110018, 36896, 71289, 64121, 109860, 17620 ]
[ 124403, 108995, 66383, 103605, 31431, 105823, 104127, 56051, 119520, 118347, 105988, 124766, 15682, 13177, 127091, 57903, 79721, 32149, 11571, 115857, 28713, 106824, 61689, 107493, 91006, 1811, 91763, 124059, 91482, 48552, 37823, 121256, 1811, 104405, 39926, 17620, 102518, 104865, 30512, 124118, 101832, 104533, 5486, 103605, 76947, 87177, 30512, 112990, 5486, 112361, 45736, 30813, 16556, 25580, 55031, 71174, 29295, 104655, 22957, 107290, 109749, 119520, 80195, 107462, 104533, 5486, 71174, 15682, 17905, 55031, 104655, 22957, 107290, 109749, 109807, 108010, 117201, 17620, 102518, 105272, 19732, 117952, 33121, 79721, 1811, 103856, 95399, 86127, 32977, 106081, 121256, 29295, 5486, 114652, 17620, 107277, 107515, 9174, 52591, 26269, 19732, 13177, 117501, 29295, 124500, 104984, 115408, 105459, 116907, 16144, 80195, 75267, 29295, 124500, 30369, 26854, 30591, 1981, 10646, 19732, 78698, 107800, 16144, 38641, 66327, 103984, 48634, 108502, 29295, 117714, 107707, 16325, 16556, 115408, 20713, 17792, 30832, 29295, 91774, 58942, 101732, 33503, 10646, 67645, 119775, 117952, 104028, 105879, 109954, 9174, 59739, 16995, 86127, 127282, 105994, 55031, 91774, 28713, 41642, 116310, 19732, 57106, 115694, 103801, 61689, 1811, 115598, 91774, 16556, 43511, 17792, 104088, 17297, 17663, 109335, 114652, 57903, 33541, 101832, 1811, 115364, 37689, 91774, 29295, 37656, 67016, 100472, 104865, 1811, 108031, 127637, 99397, 16995, 74245, 17663, 105908, 109215, 125651, 1811, 6271, 237, 25333, 107118, 105994, 30512, 53283, 30369, 100909, 38641, 1811, 21105, 96, 107277, 99397, 16995, 74245, 39926, 64121, 17129, 109954, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 105635, 119506, 105408, 112197, 87177, 15682, 19732, 111243, 78183, 107277, 126172, 102518, 119150, 1811, 90620, 113954, 30512, 120837, 5486, 103350, 124299, 30512, 21105, 103, 16995, 19732, 37087, 47884, 102147, 226, 30832, 126529, 111769, 32149, 113637, 109335, 112825, 110904, 26854, 118733, 111108, 102800, 100909, 36785, 9174, 110589, 16556, 20713, 8107, 21990, 16144, 6271, 237, 74843, 15682, 105721, 78183, 30369, 118855, 25963, 8107, 21990, 16556, 17039, 28713, 26854, 105408, 24273, 112197, 87177, 30512, 36735, 112, 47884, 101513, 38093, 20230, 122393, 17129, 104028, 1811, 33671, 110895, 32977, 30250, 227, 106145, 30512, 72342, 101860, 5486, 21105, 96, 107277, 19732, 6271, 237, 74843, 30512, 114731, 107436, 111654, 102800, 9174, 110589, 15682, 106222, 70626, 16144, 108686, 103932, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 9174, 13177, 104284, 103856, 9080, 10110, 32149, 86614, 71289, 104328, 7705, 116326, 102669, 30297, 25580, 55031, 104284, 60632, 103792, 23954, 40862, 95221, 45893, 16144, 113727, 24273, 16556, 13177, 37656, 104284, 10110, 17129, 30813, 32149, 59739, 7705, 59712, 121032, 104284, 10110, 30591, 32149, 59739, 7705, 59712, 104284, 103856, 9080, 10110, 32149, 86614, 71289, 104328, 7705, 10646, 115991, 33541, 1811, 87447, 111656, 16144, 109178, 122373, 109466, 50211, 121944, 102491, 30926, 61304, 55031, 117811, 126198, 102944, 38641, 113637, 16325, 16144, 13177, 104284, 103856, 9080, 117503, 100909, 109853, 33334, 87177, 126198, 16995, 106046, 61689, 9174, 13177, 104284, 103856, 9080, 66383, 15682, 36896, 102669, 30297, 25580, 55031, 104284, 60632, 103792, 66383, 95604, 115552, 38641, 1811, 16995, 75694, 104856, 76947, 55031, 77181, 30250, 227, 16995, 1811, 108064, 80699, 16144, 110918, 29295, 104989, 31431, 32149, 32149, 114598, 117271, 108608, 48634, 114792, 59739, 102677, 115552, 38641, 1811, 30813, 38144, 85701, 15682, 103787, 45893, 121142, 78698, 105262, 100909, 111769, 116497, 38641, 1811, 64121, 26854, 115867, 107803, 36896, 53508, 231, 104195, 59712, 17792, 21990, 10646, 105352, 109215, 26854, 100909, 111769, 123253, 32149, 9174, 53508, 231, 104195, 102677, 110229, 77181, 17620, 107277, 126172, 16995, 102944, 38641, 1811, 110382, 113245, 104284, 109972, 67645, 107404, 15682, 106081, 111186, 38641, 1811, 17701, 106081, 71289, 78698, 112984, 104309, 38641, 55031, 5486, 9080, 15682, 17620, 126469, 61689, 1811, 17701, 106081, 38093, 75267, 102416, 23039, 76947, 55031, 13177, 30813, 38144, 104405, 119607, 32149, 1981, 10646, 19732, 78698, 107290, 32977, 106548, 24273, 100604, 38641, 123794, 1811, 9080, 104680, 53508, 231, 104195, 30512, 39926, 104874, 107290, 61689, 123794, 9174, 15120, 24273, 16556, 13177, 17792, 21990, 10646, 15682, 104405, 123253, 1811, 17792, 21990, 16144, 104284, 109972, 67645, 107404, 107118, 1981, 1811, 17620, 107277, 107515, 123794, 118855, 77693, 29295, 108064, 109749, 32149, 32977, 17620, 124403, 1811, 109860, 127933, 38144, 105104, 103846, 119064, 38641, 1811, 13393, 230, 113797, 15682, 61826, 117073, 96311, 227, 101837, 225, 38093, 112197, 87177, 111769, 16144, 119627, 5486, 112361, 106592, 119852, 33334, 102204, 33541, 66327, 9080, 104680, 17486, 254, 30369, 105908, 30591, 76947, 112987, 124324, 66383, 1811, 109860, 9080, 104680, 16144, 121837, 16144, 108882, 64121, 30358, 101832, 29295, 27384, 30926, 126529, 38641, 9174, 50211, 51385, 16144, 34617, 118821, 27384, 102769, 13177, 100909, 81219, 30512, 27384, 102769, 20230, 59712, 82973, 30512, 27384, 102769, 20230, 59712, 117714, 43514, 30512, 27384, 102769, 20230, 10646, 115991, 33541, 113637, 33334, 87177, 15682, 13177, 82973, 30512, 27384, 102769, 20230, 66383, 95604, 100909, 126529, 38641, 1811, 104405, 32149, 115364, 104654, 104088, 74245, 39926, 17297, 65316, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 108686, 103932, 105408, 112197, 87177, 110276, 13177, 104284, 103856, 9080, 118587, 112727, 106824, 112987, 100604, 108995, 32149, 123405, 19732, 108618, 17663, 110229, 107141, 101275, 15682, 34617, 27113, 9080, 126758, 125939, 115303, 59739, 123927, 104196, 31431, 5486, 115364, 104654, 104088, 74245, 39926, 111654, 102800, 1811, 108686, 103932, 105408, 16144, 87177, 30512, 100204, 121710, 111842, 103868, 78183, 76947, 111654, 102800, 9174, 110589, 15682, 20713, 25963, 103214, 5486, 20713, 34617, 103214, 106966, 106529, 49988, 16144, 104521, 106344, 29295, 87177, 126198, 9174, 13177, 100204, 121710, 31431, 105994, 19732, 103359, 87177, 54926, 48634, 116825, 105784, 111329, 43240, 119064, 105408, 24273, 29295, 13177, 118013, 82533, 17129, 76947, 113727, 101200, 59712, 123927, 104196, 76947, 64121, 101200, 66383, 95604, 106592, 6271, 237, 74843, 107809, 16556, 87177, 84389, 101732, 1811, 28873, 28713, 39926, 103350, 124299, 56051, 116537, 67645, 33121, 126910, 104712, 30369, 108995, 1811, 116537, 13177, 125174, 109913, 107290, 78698, 105262, 59712, 47884, 114652, 57980, 21105, 103, 117201, 1981, 10646, 102677, 112690, 16556, 53953, 30926, 16144, 22656, 105284, 104088, 100604, 66327, 118013, 82533, 115464, 10646, 109335, 109606, 55031, 118146, 127075, 33503, 17663, 100909, 111769, 109807, 109606, 19732, 35083, 119895, 54926, 100909, 36785, 1811, 35083, 119895, 54926, 103846, 102052, 5486, 101427, 235, 33503, 20230, 13177, 99849, 32977, 117952, 101860, 87177, 30512, 27929, 104043, 36735, 112, 102532, 124089, 114754, 109215, 10646, 113461, 102677, 106592, 113954, 39926, 111654, 102800, 1811, 109606, 55031, 110074, 102639, 106956, 110018, 15682, 110074, 102639, 127567, 126521, 1811, 72661, 59614, 101860, 17792, 21990, 16144, 116414, 32149, 16556, 13177, 118013, 82533, 17129, 76947, 113727, 104533, 50834, 10646, 15682, 125338, 109749, 9174, 43, 9458, 53, 102832, 84477, 25005, 247, 16073, 15682, 13177, 35, 2639, 312, 12770, 1167, 33719, 7730, 799, 66383, 115791, 1811, 103031, 124911, 21990, 15682, 104662, 39926, 106515, 72342, 77181, 104435, 105272, 66327, 120328, 106656, 5486, 104940, 108740, 15682, 105721, 78183, 100472, 1811, 116337, 105414, 72342, 57980, 66383, 95604, 112690, 30512, 108618, 39926, 102625, 102189, 19732, 42634, 111817, 42634, 108994, 113883, 44620, 102832, 84477, 25005, 247, 113883, 21990, 96311, 107, 36761, 20230, 102181, 32149, 115032, 120234, 106515, 15682, 126920, 107202, 102800, 102944, 103195, 119520, 112825, 110904, 20230, 103899, 58942, 30512, 121406, 16144, 126194, 5486, 100204, 121710, 31431, 105994, 19732, 103359, 87177, 54926, 48634, 116825, 107441, 111654, 102800, 19732, 78698, 105262, 9174, 103293, 55031, 15024, 124592, 16995, 87177, 103351, 32149, 121061, 5486, 104521, 106344, 16144, 87177, 30512, 100204, 121710, 111842, 103868, 78183, 76947, 111654, 102800, 9174, 110589, 15682, 78943, 107743, 114341, 1811, 78943, 107743, 114341, 107118, 5486, 106759, 106101, 252, 110776, 107707, 100927, 58942, 113468, 5486, 103478, 124625, 14309, 222, 30624, 37507, 16144, 100927, 58942, 20230, 114876, 110027, 100481, 90620, 102334, 48154, 107743, 113115, 15024, 5486, 99750, 118835, 16144, 120208, 30512, 32977, 76947, 5486, 110776, 107707, 33334, 109988, 115737, 31431, 110276, 9080, 30512, 101513, 102057, 223, 20230, 110776, 107707, 48154, 105578, 122088, 30512, 119432, 104369, 23039, 30926, 103195, 9174, 110589, 15682, 61786, 22656, 112622, 108553, 105755, 52927, 100927, 33655, 16144, 103460, 101778, 110480, 116685, 105408, 20230, 37507, 101467, 115962, 50834, 108948, 87177, 30512, 17885, 118, 100472, 1811, 103460, 101778, 105408, 15682, 117382, 123213, 101467, 106699, 100927, 70626, 16144, 100927, 102351, 116787, 115408, 105459, 107173, 48154, 102057, 223, 16144, 102987, 16995, 105408, 103195, 9174, 13177, 57106, 103854, 100604, 100909, 126636, 102769, 30813, 1811, 57903, 16144, 110674, 17129, 16144, 105994, 30512, 27384, 102769, 20230, 109768, 108895, 111329, 13177, 66115, 20713, 102159, 16144, 101198, 71493, 16073, 30512, 34617, 17792, 20230, 17620, 76622, 104533, 5486, 20713, 17792, 30591, 115926, 99849, 102159, 16144, 101198, 71493, 16073, 29295, 32977, 33503, 105262, 123253, 91006, 102677, 99397, 16995, 115991, 33541, 1811, 64121, 26854, 117940, 104405, 103899, 105262, 123253, 1811, 101182, 45829, 29295, 13177, 101198, 62903, 118718, 16556, 115478, 61398, 117657, 105879, 20713, 109247, 66383, 103899, 107800, 117840, 109807, 50338, 103899, 30512, 64121, 28713, 105408, 15682, 71493, 16073, 71493, 16073, 117084, 113799, 31431, 5486, 123050, 30046, 30512, 105324, 102802, 59739, 107674, 117840, 1811, 46729, 20230, 112454, 31431, 124563, 112371, 58426, 105933, 103899, 58942, 30512, 102181, 102334, 104865, 45829, 67645, 32977, 20230, 99397, 30297, 19732, 36896, 101198, 71493, 113883, 119448, 30813, 15682, 108010, 30297, 109900, 20230, 110631, 16995, 5486, 108602, 124387, 32977, 101182, 1811, 105110, 50211, 50667, 20230, 17620, 105784, 105879, 30591, 104984, 5486, 115478, 61398, 116446, 20713, 109247, 102677, 112973, 126521, 109900, 103378, 113461, 10646, 9174, 59739, 16995, 100927, 70626, 16144, 53508, 231, 104195, 16556, 25963, 66224, 102159, 102677, 103899, 58942, 30512, 86127, 127282, 45829, 67645, 32977, 20230, 32018, 62004, 33541, 29295, 110371, 45829, 67645, 102944, 104466, 5486, 64121, 103171, 29295, 50667, 106624, 103868, 78183, 30297, 104466, 54926, 124122, 17620, 55487, 54926, 41007, 15682, 56965, 108010, 76947, 112987, 107515, 113637, 105933, 103984, 28542, 30512, 86127, 127282, 112727, 115032, 104865, 110241, 33121, 107515, 9174, 30813, 38144, 27699, 226, 74090, 89151, 106699, 15682, 6271, 237, 118969, 16144, 120613, 30512, 105324, 104369, 106699, 100927, 72661, 57903, 33541, 66327, 59563, 43568, 103478, 124625, 14309, 222, 6271, 237, 10646, 125651, 1811, 103478, 124625, 14309, 222, 118969, 30512, 105324, 126559, 113334, 38641, 1811, 77181, 116537, 67645, 120950, 110018, 20230, 13177, 120613, 118587, 105324, 104369, 105879, 109954, 127211, 102769, 26854, 106592, 108044, 58942, 104533, 50834, 102052, 5486, 59614, 101860, 120613, 30512, 105324, 102802, 33541, 101832, 66327, 50834, 64121, 10646, 71289, 118133, 17129, 58942, 10646, 111769, 116497, 38641, 1811, 86127, 127282, 103478, 124625, 14309, 222, 118969, 20230, 27384, 102769, 26854, 106592, 33334, 108044, 58942, 119607, 103306, 107991, 16144, 38641, 1811, 103478, 124625, 14309, 222, 118969, 15682, 13177, 126507, 126507, 66383, 33334, 103899, 58942, 15024, 5486, 108870, 30512, 101427, 122, 107441, 120700, 33541, 109900, 15682, 13177, 64121, 103171, 50211, 50667, 20230, 10646, 126529, 38641, 1811, 67645, 120950, 17792, 127303, 114598, 108870, 30512, 101427, 122, 76622, 5486, 40053, 20230, 86127, 126027, 106592, 95221, 116446, 108112, 30813, 103836, 16144, 38641, 9174, 101182, 110018, 5486, 45829, 67645, 32977, 29295, 110135, 108881, 30512, 121256, 127211, 127933, 38144, 16556, 122412, 102416, 125894, 76622, 126268, 5486, 122013, 55031, 103826, 45829, 30512, 36735, 112, 126145, 103553, 244, 55031, 108436, 102936, 126198, 117840, 1811, 61075, 16144, 110135, 29295, 108881, 33121, 100481, 104984, 5486, 17297, 103268, 96356, 16937, 106161, 102677, 100909, 120885, 57903, 33541, 1811, 108068, 100845, 242, 55031, 30832, 112854, 107436, 45829, 67645, 32977, 20230, 36896, 27384, 121313, 32149, 66383, 99397, 30297, 19732, 36896, 117395, 30512, 110135, 108881, 56051, 103378, 120572, 1981, 10646, 19732, 103899, 107290, 120700, 79721, 1811, 103927, 26269, 103306, 13177, 110135, 108881, 56051, 104468, 67645, 120240, 91006, 19732, 106307, 107441, 99397, 30297, 19732, 36896, 78659, 46034, 66383, 103899, 107290, 120700, 79721, 66327, 78659, 46034, 16556, 103424, 102518, 1811, 60632, 50834, 46034, 103351, 33503, 107202, 8239, 112, 56051, 108995, 21105, 103, 30591, 1981, 10646, 19732, 120267, 79721, 1811, 21105, 108, 124749, 106613, 76947, 55031, 36896, 78659, 46034, 16556, 103424, 102518, 76947, 64121, 103171, 55031, 117952, 104028, 1811, 72661, 101832, 5486, 78659, 46034, 72661, 65917, 46034, 72661, 112418, 16144, 117395, 126529, 1811, 67645, 120240, 127303, 114598, 115389, 113461, 1811, 103424, 102518, 100909, 76947, 100604, 102189, 107493, 1981, 10646, 19732, 109416, 71289, 16995, 100481, 79721, 118855, 122571, 45923, 26269, 62903, 37823, 121256, 1811, 102131, 38641, 123794, 1811, 115364, 111006, 105321, 38641, 55031, 13177, 65917, 46034, 105755, 78659, 46034, 10646, 36785, 110162, 36896, 51330, 127749, 15682, 109298, 109298, 98369, 20230, 57106, 103854, 101860, 104043, 17129, 15024, 10646, 114016, 119852, 102204, 107515, 123794, 1811, 59739, 16995, 86127, 127282, 105994, 19732, 43511, 17792, 30512, 57106, 115694, 103801, 61689, 1811, 6271, 237, 118969, 15682, 102131, 77181, 124897, 1811, 57903, 16144, 110674, 16144, 105994, 104088, 59739, 107436, 108112, 30813, 103836, 16144, 38641, 66327, 108631, 16995, 123794, 10646, 105321, 38641, 9174, 105994, 30512, 43511, 17792, 19732, 57106, 103854, 30369, 16144, 126194, 5486, 57903, 16144, 110674, 16144, 105994, 30512, 119883, 32149, 127397, 123726, 100481, 76947, 72315, 9174, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 86127, 127282, 59739, 16995, 13177, 125261, 10646, 39926, 114732, 1811, 33014, 48634, 72661, 5486, 13153, 116486, 72661, 1981, 1811, 125261, 15024, 5486, 127933, 38144, 38144, 104284, 124475, 122225, 30512, 39926, 5486, 60868, 103672, 100472, 31431, 5486, 103350, 48634 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 124403, 108995, 66383, 103605, 31431, 105823, 104127, 56051, 119520, 118347, 105988, 124766, 15682, 13177, 127091, 57903, 79721, 32149, 11571, 115857, 28713, 106824, 61689, 107493, 91006, 1811, 91763, 124059, 91482, 48552, 37823, 121256, 1811, 104405, 39926, 17620, 102518, 104865, 30512, 124118, 101832, 104533, 5486, 103605, 76947, 87177, 30512, 112990, 5486, 112361, 45736, 30813, 16556, 25580, 55031, 71174, 29295, 104655, 22957, 107290, 109749, 119520, 80195, 107462, 104533, 5486, 71174, 15682, 17905, 55031, 104655, 22957, 107290, 109749, 109807, 108010, 117201, 17620, 102518, 105272, 19732, 117952, 33121, 79721, 1811, 103856, 95399, 86127, 32977, 106081, 121256, 29295, 5486, 114652, 17620, 107277, 107515, 9174, 52591, 26269, 19732, 13177, 117501, 29295, 124500, 104984, 115408, 105459, 116907, 16144, 80195, 75267, 29295, 124500, 30369, 26854, 30591, 1981, 10646, 19732, 78698, 107800, 16144, 38641, 66327, 103984, 48634, 108502, 29295, 117714, 107707, 16325, 16556, 115408, 20713, 17792, 30832, 29295, 91774, 58942, 101732, 33503, 10646, 67645, 119775, 117952, 104028, 105879, 109954, 9174, 59739, 16995, 86127, 127282, 105994, 55031, 91774, 28713, 41642, 116310, 19732, 57106, 115694, 103801, 61689, 1811, 115598, 91774, 16556, 43511, 17792, 104088, 17297, 17663, 109335, 114652, 57903, 33541, 101832, 1811, 115364, 37689, 91774, 29295, 37656, 67016, 100472, 104865, 1811, 108031, 127637, 99397, 16995, 74245, 17663, 105908, 109215, 125651, 1811, 6271, 237, 25333, 107118, 105994, 30512, 53283, 30369, 100909, 38641, 1811, 21105, 96, 107277, 99397, 16995, 74245, 39926, 64121, 17129, 109954, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 105635, 119506, 105408, 112197, 87177, 15682, 19732, 111243, 78183, 107277, 126172, 102518, 119150, 1811, 90620, 113954, 30512, 120837, 5486, 103350, 124299, 30512, 21105, 103, 16995, 19732, 37087, 47884, 102147, 226, 30832, 126529, 111769, 32149, 113637, 109335, 112825, 110904, 26854, 118733, 111108, 102800, 100909, 36785, 9174, 110589, 16556, 20713, 8107, 21990, 16144, 6271, 237, 74843, 15682, 105721, 78183, 30369, 118855, 25963, 8107, 21990, 16556, 17039, 28713, 26854, 105408, 24273, 112197, 87177, 30512, 36735, 112, 47884, 101513, 38093, 20230, 122393, 17129, 104028, 1811, 33671, 110895, 32977, 30250, 227, 106145, 30512, 72342, 101860, 5486, 21105, 96, 107277, 19732, 6271, 237, 74843, 30512, 114731, 107436, 111654, 102800, 9174, 110589, 15682, 106222, 70626, 16144, 108686, 103932, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 9174, 13177, 104284, 103856, 9080, 10110, 32149, 86614, 71289, 104328, 7705, 116326, 102669, 30297, 25580, 55031, 104284, 60632, 103792, 23954, 40862, 95221, 45893, 16144, 113727, 24273, 16556, 13177, 37656, 104284, 10110, 17129, 30813, 32149, 59739, 7705, 59712, 121032, 104284, 10110, 30591, 32149, 59739, 7705, 59712, 104284, 103856, 9080, 10110, 32149, 86614, 71289, 104328, 7705, 10646, 115991, 33541, 1811, 87447, 111656, 16144, 109178, 122373, 109466, 50211, 121944, 102491, 30926, 61304, 55031, 117811, 126198, 102944, 38641, 113637, 16325, 16144, 13177, 104284, 103856, 9080, 117503, 100909, 109853, 33334, 87177, 126198, 16995, 106046, 61689, 9174, 13177, 104284, 103856, 9080, 66383, 15682, 36896, 102669, 30297, 25580, 55031, 104284, 60632, 103792, 66383, 95604, 115552, 38641, 1811, 16995, 75694, 104856, 76947, 55031, 77181, 30250, 227, 16995, 1811, 108064, 80699, 16144, 110918, 29295, 104989, 31431, 32149, 32149, 114598, 117271, 108608, 48634, 114792, 59739, 102677, 115552, 38641, 1811, 30813, 38144, 85701, 15682, 103787, 45893, 121142, 78698, 105262, 100909, 111769, 116497, 38641, 1811, 64121, 26854, 115867, 107803, 36896, 53508, 231, 104195, 59712, 17792, 21990, 10646, 105352, 109215, 26854, 100909, 111769, 123253, 32149, 9174, 53508, 231, 104195, 102677, 110229, 77181, 17620, 107277, 126172, 16995, 102944, 38641, 1811, 110382, 113245, 104284, 109972, 67645, 107404, 15682, 106081, 111186, 38641, 1811, 17701, 106081, 71289, 78698, 112984, 104309, 38641, 55031, 5486, 9080, 15682, 17620, 126469, 61689, 1811, 17701, 106081, 38093, 75267, 102416, 23039, 76947, 55031, 13177, 30813, 38144, 104405, 119607, 32149, 1981, 10646, 19732, 78698, 107290, 32977, 106548, 24273, 100604, 38641, 123794, 1811, 9080, 104680, 53508, 231, 104195, 30512, 39926, 104874, 107290, 61689, 123794, 9174, 15120, 24273, 16556, 13177, 17792, 21990, 10646, 15682, 104405, 123253, 1811, 17792, 21990, 16144, 104284, 109972, 67645, 107404, 107118, 1981, 1811, 17620, 107277, 107515, 123794, 118855, 77693, 29295, 108064, 109749, 32149, 32977, 17620, 124403, 1811, 109860, 127933, 38144, 105104, 103846, 119064, 38641, 1811, 13393, 230, 113797, 15682, 61826, 117073, 96311, 227, 101837, 225, 38093, 112197, 87177, 111769, 16144, 119627, 5486, 112361, 106592, 119852, 33334, 102204, 33541, 66327, 9080, 104680, 17486, 254, 30369, 105908, 30591, 76947, 112987, 124324, 66383, 1811, 109860, 9080, 104680, 16144, 121837, 16144, 108882, 64121, 30358, 101832, 29295, 27384, 30926, 126529, 38641, 9174, 50211, 51385, 16144, 34617, 118821, 27384, 102769, 13177, 100909, 81219, 30512, 27384, 102769, 20230, 59712, 82973, 30512, 27384, 102769, 20230, 59712, 117714, 43514, 30512, 27384, 102769, 20230, 10646, 115991, 33541, 113637, 33334, 87177, 15682, 13177, 82973, 30512, 27384, 102769, 20230, 66383, 95604, 100909, 126529, 38641, 1811, 104405, 32149, 115364, 104654, 104088, 74245, 39926, 17297, 65316, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 108686, 103932, 105408, 112197, 87177, 110276, 13177, 104284, 103856, 9080, 118587, 112727, 106824, 112987, 100604, 108995, 32149, 123405, 19732, 108618, 17663, 110229, 107141, 101275, 15682, 34617, 27113, 9080, 126758, 125939, 115303, 59739, 123927, 104196, 31431, 5486, 115364, 104654, 104088, 74245, 39926, 111654, 102800, 1811, 108686, 103932, 105408, 16144, 87177, 30512, 100204, 121710, 111842, 103868, 78183, 76947, 111654, 102800, 9174, 110589, 15682, 20713, 25963, 103214, 5486, 20713, 34617, 103214, 106966, 106529, 49988, 16144, 104521, 106344, 29295, 87177, 126198, 9174, 13177, 100204, 121710, 31431, 105994, 19732, 103359, 87177, 54926, 48634, 116825, 105784, 111329, 43240, 119064, 105408, 24273, 29295, 13177, 118013, 82533, 17129, 76947, 113727, 101200, 59712, 123927, 104196, 76947, 64121, 101200, 66383, 95604, 106592, 6271, 237, 74843, 107809, 16556, 87177, 84389, 101732, 1811, 28873, 28713, 39926, 103350, 124299, 56051, 116537, 67645, 33121, 126910, 104712, 30369, 108995, 1811, 116537, 13177, 125174, 109913, 107290, 78698, 105262, 59712, 47884, 114652, 57980, 21105, 103, 117201, 1981, 10646, 102677, 112690, 16556, 53953, 30926, 16144, 22656, 105284, 104088, 100604, 66327, 118013, 82533, 115464, 10646, 109335, 109606, 55031, 118146, 127075, 33503, 17663, 100909, 111769, 109807, 109606, 19732, 35083, 119895, 54926, 100909, 36785, 1811, 35083, 119895, 54926, 103846, 102052, 5486, 101427, 235, 33503, 20230, 13177, 99849, 32977, 117952, 101860, 87177, 30512, 27929, 104043, 36735, 112, 102532, 124089, 114754, 109215, 10646, 113461, 102677, 106592, 113954, 39926, 111654, 102800, 1811, 109606, 55031, 110074, 102639, 106956, 110018, 15682, 110074, 102639, 127567, 126521, 1811, 72661, 59614, 101860, 17792, 21990, 16144, 116414, 32149, 16556, 13177, 118013, 82533, 17129, 76947, 113727, 104533, 50834, 10646, 15682, 125338, 109749, 9174, 43, 9458, 53, 102832, 84477, 25005, 247, 16073, 15682, 13177, 35, 2639, 312, 12770, 1167, 33719, 7730, 799, 66383, 115791, 1811, 103031, 124911, 21990, 15682, 104662, 39926, 106515, 72342, 77181, 104435, 105272, 66327, 120328, 106656, 5486, 104940, 108740, 15682, 105721, 78183, 100472, 1811, 116337, 105414, 72342, 57980, 66383, 95604, 112690, 30512, 108618, 39926, 102625, 102189, 19732, 42634, 111817, 42634, 108994, 113883, 44620, 102832, 84477, 25005, 247, 113883, 21990, 96311, 107, 36761, 20230, 102181, 32149, 115032, 120234, 106515, 15682, 126920, 107202, 102800, 102944, 103195, 119520, 112825, 110904, 20230, 103899, 58942, 30512, 121406, 16144, 126194, 5486, 100204, 121710, 31431, 105994, 19732, 103359, 87177, 54926, 48634, 116825, 107441, 111654, 102800, 19732, 78698, 105262, 9174, 103293, 55031, 15024, 124592, 16995, 87177, 103351, 32149, 121061, 5486, 104521, 106344, 16144, 87177, 30512, 100204, 121710, 111842, 103868, 78183, 76947, 111654, 102800, 9174, 110589, 15682, 78943, 107743, 114341, 1811, 78943, 107743, 114341, 107118, 5486, 106759, 106101, 252, 110776, 107707, 100927, 58942, 113468, 5486, 103478, 124625, 14309, 222, 30624, 37507, 16144, 100927, 58942, 20230, 114876, 110027, 100481, 90620, 102334, 48154, 107743, 113115, 15024, 5486, 99750, 118835, 16144, 120208, 30512, 32977, 76947, 5486, 110776, 107707, 33334, 109988, 115737, 31431, 110276, 9080, 30512, 101513, 102057, 223, 20230, 110776, 107707, 48154, 105578, 122088, 30512, 119432, 104369, 23039, 30926, 103195, 9174, 110589, 15682, 61786, 22656, 112622, 108553, 105755, 52927, 100927, 33655, 16144, 103460, 101778, 110480, 116685, 105408, 20230, 37507, 101467, 115962, 50834, 108948, 87177, 30512, 17885, 118, 100472, 1811, 103460, 101778, 105408, 15682, 117382, 123213, 101467, 106699, 100927, 70626, 16144, 100927, 102351, 116787, 115408, 105459, 107173, 48154, 102057, 223, 16144, 102987, 16995, 105408, 103195, 9174, 13177, 57106, 103854, 100604, 100909, 126636, 102769, 30813, 1811, 57903, 16144, 110674, 17129, 16144, 105994, 30512, 27384, 102769, 20230, 109768, 108895, 111329, 13177, 66115, 20713, 102159, 16144, 101198, 71493, 16073, 30512, 34617, 17792, 20230, 17620, 76622, 104533, 5486, 20713, 17792, 30591, 115926, 99849, 102159, 16144, 101198, 71493, 16073, 29295, 32977, 33503, 105262, 123253, 91006, 102677, 99397, 16995, 115991, 33541, 1811, 64121, 26854, 117940, 104405, 103899, 105262, 123253, 1811, 101182, 45829, 29295, 13177, 101198, 62903, 118718, 16556, 115478, 61398, 117657, 105879, 20713, 109247, 66383, 103899, 107800, 117840, 109807, 50338, 103899, 30512, 64121, 28713, 105408, 15682, 71493, 16073, 71493, 16073, 117084, 113799, 31431, 5486, 123050, 30046, 30512, 105324, 102802, 59739, 107674, 117840, 1811, 46729, 20230, 112454, 31431, 124563, 112371, 58426, 105933, 103899, 58942, 30512, 102181, 102334, 104865, 45829, 67645, 32977, 20230, 99397, 30297, 19732, 36896, 101198, 71493, 113883, 119448, 30813, 15682, 108010, 30297, 109900, 20230, 110631, 16995, 5486, 108602, 124387, 32977, 101182, 1811, 105110, 50211, 50667, 20230, 17620, 105784, 105879, 30591, 104984, 5486, 115478, 61398, 116446, 20713, 109247, 102677, 112973, 126521, 109900, 103378, 113461, 10646, 9174, 59739, 16995, 100927, 70626, 16144, 53508, 231, 104195, 16556, 25963, 66224, 102159, 102677, 103899, 58942, 30512, 86127, 127282, 45829, 67645, 32977, 20230, 32018, 62004, 33541, 29295, 110371, 45829, 67645, 102944, 104466, 5486, 64121, 103171, 29295, 50667, 106624, 103868, 78183, 30297, 104466, 54926, 124122, 17620, 55487, 54926, 41007, 15682, 56965, 108010, 76947, 112987, 107515, 113637, 105933, 103984, 28542, 30512, 86127, 127282, 112727, 115032, 104865, 110241, 33121, 107515, 9174, 30813, 38144, 27699, 226, 74090, 89151, 106699, 15682, 6271, 237, 118969, 16144, 120613, 30512, 105324, 104369, 106699, 100927, 72661, 57903, 33541, 66327, 59563, 43568, 103478, 124625, 14309, 222, 6271, 237, 10646, 125651, 1811, 103478, 124625, 14309, 222, 118969, 30512, 105324, 126559, 113334, 38641, 1811, 77181, 116537, 67645, 120950, 110018, 20230, 13177, 120613, 118587, 105324, 104369, 105879, 109954, 127211, 102769, 26854, 106592, 108044, 58942, 104533, 50834, 102052, 5486, 59614, 101860, 120613, 30512, 105324, 102802, 33541, 101832, 66327, 50834, 64121, 10646, 71289, 118133, 17129, 58942, 10646, 111769, 116497, 38641, 1811, 86127, 127282, 103478, 124625, 14309, 222, 118969, 20230, 27384, 102769, 26854, 106592, 33334, 108044, 58942, 119607, 103306, 107991, 16144, 38641, 1811, 103478, 124625, 14309, 222, 118969, 15682, 13177, 126507, 126507, 66383, 33334, 103899, 58942, 15024, 5486, 108870, 30512, 101427, 122, 107441, 120700, 33541, 109900, 15682, 13177, 64121, 103171, 50211, 50667, 20230, 10646, 126529, 38641, 1811, 67645, 120950, 17792, 127303, 114598, 108870, 30512, 101427, 122, 76622, 5486, 40053, 20230, 86127, 126027, 106592, 95221, 116446, 108112, 30813, 103836, 16144, 38641, 9174, 101182, 110018, 5486, 45829, 67645, 32977, 29295, 110135, 108881, 30512, 121256, 127211, 127933, 38144, 16556, 122412, 102416, 125894, 76622, 126268, 5486, 122013, 55031, 103826, 45829, 30512, 36735, 112, 126145, 103553, 244, 55031, 108436, 102936, 126198, 117840, 1811, 61075, 16144, 110135, 29295, 108881, 33121, 100481, 104984, 5486, 17297, 103268, 96356, 16937, 106161, 102677, 100909, 120885, 57903, 33541, 1811, 108068, 100845, 242, 55031, 30832, 112854, 107436, 45829, 67645, 32977, 20230, 36896, 27384, 121313, 32149, 66383, 99397, 30297, 19732, 36896, 117395, 30512, 110135, 108881, 56051, 103378, 120572, 1981, 10646, 19732, 103899, 107290, 120700, 79721, 1811, 103927, 26269, 103306, 13177, 110135, 108881, 56051, 104468, 67645, 120240, 91006, 19732, 106307, 107441, 99397, 30297, 19732, 36896, 78659, 46034, 66383, 103899, 107290, 120700, 79721, 66327, 78659, 46034, 16556, 103424, 102518, 1811, 60632, 50834, 46034, 103351, 33503, 107202, 8239, 112, 56051, 108995, 21105, 103, 30591, 1981, 10646, 19732, 120267, 79721, 1811, 21105, 108, 124749, 106613, 76947, 55031, 36896, 78659, 46034, 16556, 103424, 102518, 76947, 64121, 103171, 55031, 117952, 104028, 1811, 72661, 101832, 5486, 78659, 46034, 72661, 65917, 46034, 72661, 112418, 16144, 117395, 126529, 1811, 67645, 120240, 127303, 114598, 115389, 113461, 1811, 103424, 102518, 100909, 76947, 100604, 102189, 107493, 1981, 10646, 19732, 109416, 71289, 16995, 100481, 79721, 118855, 122571, 45923, 26269, 62903, 37823, 121256, 1811, 102131, 38641, 123794, 1811, 115364, 111006, 105321, 38641, 55031, 13177, 65917, 46034, 105755, 78659, 46034, 10646, 36785, 110162, 36896, 51330, 127749, 15682, 109298, 109298, 98369, 20230, 57106, 103854, 101860, 104043, 17129, 15024, 10646, 114016, 119852, 102204, 107515, 123794, 1811, 59739, 16995, 86127, 127282, 105994, 19732, 43511, 17792, 30512, 57106, 115694, 103801, 61689, 1811, 6271, 237, 118969, 15682, 102131, 77181, 124897, 1811, 57903, 16144, 110674, 16144, 105994, 104088, 59739, 107436, 108112, 30813, 103836, 16144, 38641, 66327, 108631, 16995, 123794, 10646, 105321, 38641, 9174, 105994, 30512, 43511, 17792, 19732, 57106, 103854, 30369, 16144, 126194, 5486, 57903, 16144, 110674, 16144, 105994, 30512, 119883, 32149, 127397, 123726, 100481, 76947, 72315, 9174, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 86127, 127282, 59739, 16995, 13177, 125261, 10646, 39926, 114732, 1811, 33014, 48634, 72661, 5486, 13153, 116486, 72661, 1981, 1811, 125261, 15024, 5486, 127933, 38144, 38144, 104284, 124475, 122225, 30512, 39926, 5486, 60868, 103672, 100472, 31431, 5486, 103350, 48634 ]
[ 126758, 110115, 102669, 105838, 32977, 121697, 101860, 13177, 110904, 20230, 53508, 231, 104195, 118587, 54926, 1811, 127091, 112727, 106824, 112987, 100604, 108995, 32149, 9174, 13177, 57903, 16144, 110674, 16144, 105994, 66383, 95604, 112690, 15682, 5486, 6271, 237, 74843, 16556, 43240, 119064, 105408, 24273, 119279, 87177, 107809, 16556, 119852, 22957, 109115, 112690, 36785, 1811, 77181, 126920, 13177, 57903, 16144, 110674, 16144, 105994, 118587, 113954, 103792, 105879, 30591, 103950, 32149, 11571, 220, 100204, 121710, 31431, 78698, 107290, 111654, 102800, 9174, 110589, 15682, 20713, 9953, 20713, 66224, 117073, 78943, 107743, 114341, 16556, 161, 63644, 30297, 13177, 78943, 107743, 114341, 16144, 104261, 10646, 109853, 48864, 102189, 9174, 13177, 78943, 107743, 114341, 66383, 15682, 106699, 111656, 106759, 106101, 252, 110776, 114754, 109988, 115737, 109115, 9080, 103195, 1811, 20713, 66224, 9080, 15682, 13177, 78943, 107743, 114341, 117503, 106699, 100927, 23039, 30926, 121142, 100927, 70626, 16144, 48864, 108710, 15682, 71289, 110104, 1811, 90620, 100927, 70626, 16144, 48864, 108710, 30512, 71289, 110104, 55031, 23039, 30926, 102416, 110284, 21105, 103, 47884, 38144, 103424, 117714, 111769, 1811, 106759, 106101, 252, 110776, 114754, 37046, 104680, 20230, 108044, 107800, 102518, 106592, 106699, 100927, 70626, 16144, 107141, 101275, 16556, 48864, 126559, 1811, 53283, 109375, 16144, 48864, 108710, 32977, 109215, 103195, 29295, 36896, 30591, 112568, 16144, 101427, 235, 33503, 102052, 5486, 103478, 124625, 14309, 222, 103826, 32977, 115408, 10110, 106759, 106101, 252, 7705, 32977, 107173, 20230, 61689, 57980, 66383, 95604, 126390, 36735, 112, 47884, 105908, 106084, 30369, 108995, 32149, 1811, 78943, 107743, 114341, 16144, 48154, 25333, 87177, 107809, 16556, 106116, 126390, 21105, 96, 107277, 36735, 112, 105898, 16995, 102944, 103195, 9174, 110589, 15682, 60596, 103214, 5486, 66224, 103214, 106966, 106529, 49988, 16144, 61786, 101701, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 9174, 13177, 108134, 16144, 89151, 49691, 121, 30512, 105184, 32149, 62004, 101200, 124845, 50021, 112909, 114284, 109134, 120208, 114792, 76947, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 15682, 32149, 103950, 111329, 124773, 123437, 67075, 29295, 64121, 103171, 29295, 107740, 54926, 101200, 115717, 124059, 32149, 81191, 8107, 1811, 108134, 15682, 115364, 122202, 116044, 71289, 116491, 104309, 55031, 50928, 101732, 113146, 55031, 5486, 124773, 123437, 67075, 17905, 30512, 106767, 15024, 18904, 30369, 113146, 115717, 79721, 1811, 64121, 26854, 117940, 124131, 103927, 30512, 122483, 103306, 5486, 117669, 1569, 106, 117669, 16556, 71289, 111842, 31431, 126198, 31431, 5486, 117384, 104309, 16556, 89046, 117139, 30512, 19732, 76947, 61689, 101832, 1811, 118597, 46034, 38574, 32977, 119448, 47884, 104721, 116547, 5486, 37046, 104680, 120950, 13177, 46729, 16144, 117384, 10646, 55031, 124131, 103927, 20230, 104721, 116547, 79721, 107030, 104680, 29295, 117734, 21990, 16144, 113146, 5486, 98915, 36785, 43514, 16144, 46729, 71289, 103031, 105514, 5486, 109453, 16144, 46729, 20230, 117384, 119707, 76622, 104533, 50834, 15682, 102040, 32131, 102040, 32131, 56051, 102944, 38641, 123601, 114754, 20834, 38144, 124089, 105755, 33334, 104503, 98369, 71289, 33334, 103760, 121944, 20834, 110071, 1811, 19732, 111243, 126238, 105714, 30512, 107113, 106592, 114284, 20834, 78434, 9174, 30813, 38144, 116491, 30512, 98499, 104127, 16995, 104533, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 105908, 102181, 32149, 115032, 77219, 30512, 30832, 20230, 121256, 1811, 44915, 15682, 33671, 120950, 102944, 38641, 9174, 59795, 17792, 19732, 102433, 17792, 60868, 32131, 37823, 108941, 16073, 29295, 108695, 16556, 38093, 87177, 30512, 109768, 79721, 1811, 76739, 44971, 102832, 108337, 20230, 16144, 31431, 106116, 106307, 50834, 16144, 38093, 87177, 30512, 59795, 116537, 27384, 112495, 71174, 16556, 71289, 100472, 16144, 38641, 1811, 102433, 116537, 13177, 51330, 87177, 15682, 76739, 44971, 102832, 108337, 30512, 104989, 31431, 38144, 55031, 1981, 10646, 19732, 110596, 101557, 106, 29295, 43514, 20230, 115791, 102131, 38641, 1811, 76739, 44971, 102832, 108337, 30512, 104989, 31431, 38144, 55031, 59795, 116537, 36896, 26854, 112371, 38093, 87177, 30512, 82533, 109315, 16144, 11571, 83639, 27384, 48249, 20230, 111828, 24273, 102416, 55487, 101557, 106, 126198, 110115, 1981, 126557, 102433, 116537, 13177, 26854, 112371, 111828, 24273, 29295, 27384, 71174, 16556, 87177, 17663, 104865, 113954, 118765, 1811, 76739, 44971, 102832, 108337, 32943, 77181, 5486, 43511, 124911, 30512, 55487, 101557, 106, 56051, 110115, 1981, 126557, 67645, 112384, 32977, 55487, 101557, 106, 103792, 16144, 119627, 5486, 59795, 116537, 118322, 123628, 120007, 20230, 55487, 101557, 106, 54926, 1811, 102433, 116537, 106116, 43511, 27384, 110095, 30512, 55487, 101557, 106, 54926, 1811, 106581, 16144, 121953, 125651, 122262, 106483, 119178, 55487, 101557, 106, 15024, 40862, 103836, 16144, 38641, 9174, 37046, 104680, 29295, 117734, 21990, 113146, 5486, 108134, 15682, 13177, 26854, 107188, 32149, 46034, 109156, 110104, 15024, 5486, 46034, 109156, 107991, 112973, 30250, 227, 102518, 117503, 38641, 1811, 64121, 26854, 117940, 13177, 111338, 58911, 16144, 108134, 115991, 108048, 30512, 106767, 15024, 20834, 39926, 103856, 47884, 115364, 102944, 117657, 66383, 95604, 104654, 30512, 37705, 76947, 61689, 1811, 67016, 21105, 251, 16144, 108134, 29295, 13177, 37656, 102800, 102944, 32149, 59712, 56965, 108010, 103836, 102944, 32149, 118587, 122225, 54926, 48634, 29295, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 108134, 16144, 89151, 49691, 121, 30512, 105184, 32149, 62004, 5486, 80539, 50021, 112909, 114284, 109134, 120208, 114792, 76947, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 15682, 32149, 107462, 76947, 111654, 102800, 106046, 61689, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 61786, 101701, 105408, 112197, 87177, 110276, 13177, 43511, 17792, 111363, 55487, 101557, 106, 59712, 108134, 16144, 89151, 49691, 121, 118587, 112727, 106824, 112987, 100604, 108995, 32149, 1811, 108134, 70626, 16144, 107141, 101275, 16556, 48864, 108710, 30512, 103792, 116497, 109846, 5486, 103350, 124299, 103082, 198, 100934, 32149, 33476, 32149, 30512, 78698, 107290, 111654, 102800, 1811, 108112, 110104, 117669, 1569, 106, 117669, 113245, 71289, 111842, 31431, 117758, 20251, 32131, 112193, 15682, 5486, 108031, 124305, 101275, 119607, 111769, 32149, 1811, 61786, 101701, 105408, 16144, 87177, 30512, 100204, 121710, 111842, 103868, 78183, 76947, 111654, 102800, 9174, 110589, 15682, 44597, 103214, 5486, 66115, 103214, 106966, 106529, 49988, 126636, 61786, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 9174, 13177, 17792, 21990, 30512, 126407, 62004, 76864, 198, 124059, 32149, 25963, 25963, 8107, 67016, 123726, 126386, 86127, 29295, 36896, 17792, 21990, 30512, 126407, 62004, 76864, 102677, 33334, 87177, 123410, 105908, 126521, 100909, 32149, 104405, 32149, 15682, 78183, 107277, 107515, 1811, 67016, 21105, 123, 26854, 98369, 102052, 21105, 96, 107277, 19732, 113954, 39926, 111654, 102800, 16144, 38641, 9174, 122571, 36896, 17792, 21990, 66383, 15682, 13177, 9080, 104680, 16144, 104654, 16144, 108882, 64121, 30358, 101832, 10646, 118816, 78698, 107290, 61689, 1811, 64121, 26854, 117940, 113954, 103082, 100934, 123253, 32149, 11571, 76502, 104680, 16144, 104654, 15682, 82973, 113468, 106145, 17129, 115032, 113334, 38641, 55031, 5486, 50211, 51385, 16144, 34617, 118821, 27384, 102769, 103195, 13177, 82973, 30512, 27384, 102769, 20230, 66383, 95604, 109335, 5486, 21105, 96, 107277, 19732, 103350, 124299, 30512, 109768, 76947, 111654, 102800, 19732, 78698, 107290, 61689, 9174, 122571, 33671, 16144, 34617, 118821, 105908, 27384, 102769, 118816, 78698, 107290, 61689, 9174, 20713, 59739, 30832, 15682, 13177, 127091, 107969, 16325, 108608, 102944, 107407, 10646, 100909, 38641, 9174, 122571, 16325, 104575, 16144, 113146, 55031, 66953, 20251, 101198, 52414, 16073, 30512, 71289, 107462, 79721, 1811, 37656, 74245, 30297, 17129, 47884, 15682, 104435, 16144, 38641, 1811, 72661, 107969, 16325, 30512, 39926, 117734, 72661, 108167, 103214, 64121, 5486, 102667, 72661, 66953, 20251, 101198, 52414, 113883, 60868, 105048, 33710, 102416, 124629, 79721, 1811, 123113, 98369, 71289, 124180, 39850, 78983, 105352, 122393, 123606, 110745, 112495, 112345, 102416, 32977, 110284, 103082, 17701, 108363, 30512, 121256, 1811, 102667, 30512, 124305, 101275, 56051, 37271, 72661, 110745, 102769, 26854, 17792, 105459, 36785, 106046, 76947, 61689, 15024, 5486, 113841, 32977, 106307, 102532, 61689, 1811, 126920, 126521, 17792, 20230, 122393, 17129, 103468, 19732, 112391, 127280, 9174, 25963, 59739, 30832, 15682, 13177, 40053, 20230, 48864, 102802, 106307, 105784, 10646, 100909, 38641, 9174, 64121, 26854, 98369, 32977, 50928, 37689, 26854, 70626, 30832, 5486, 115820, 37689, 26854, 70626, 30832, 107407, 123253, 66327, 108031, 126521, 78183, 1981, 10646, 19732, 74482, 85791, 70141, 50834, 101983, 104533, 5486, 110924, 16556, 110137, 102802, 100481, 32149, 123733, 31431, 33541, 1811, 28713, 19732, 58942, 115820, 37689, 100927, 70626, 115287, 103306, 32977, 5486, 121837, 126693, 108048, 20230, 106608, 100204, 28713, 113702, 29295, 50928, 102204, 33541, 1811, 99849, 32977, 21105, 103, 117201, 30591, 104984, 113702, 15682, 50928, 102204, 107515, 124192, 115926, 123628, 100909, 38641, 113637, 109335, 36896, 104575, 66383, 95604, 110229, 121142, 103470, 5486, 106222, 17792, 101983, 104984, 115364, 107430, 75267, 16556, 71289, 107462, 32149, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 34617, 59739, 30832, 15682, 13177, 41642, 111331, 17792, 30512, 27384, 102769, 117657, 66383, 95604, 100909, 38641, 9174, 86127, 127282, 20713, 17792, 77181, 123726, 100481, 76622, 107515, 1811, 122013, 5486, 106759, 98915, 5486, 107059, 22398, 39850, 78983, 5486, 100927, 102351, 1981, 1811, 111338, 58911, 16144, 114754, 86127, 126027, 41642, 31431, 16556, 104654, 30512, 39926, 33334, 102204, 33541, 1811, 72661, 51330, 105933, 96356, 60358, 26854, 17792, 105459, 122416, 77181, 124897, 1811, 33035, 48864, 108968, 17905, 16144, 66953, 117718, 103768, 108436, 46034, 98369, 108948, 65854, 98369, 5486, 117273, 38641, 33121, 108010, 30297, 17792, 126027, 100909, 38641, 1811, 114516, 15682, 106222, 19732, 59739, 105722, 76947, 104654, 30512, 127145, 1811, 41642, 116310, 20230, 109440, 115461, 119707, 124324, 104466, 104654, 30512, 109768, 50834, 17129, 109954, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 127211, 61786, 105408, 112197, 87177, 110276, 13177, 127091, 107969, 16325, 108608, 102944, 107407, 59712, 40053, 20230, 48864, 102802, 106307, 105784, 59712, 41642, 111331, 17792, 30512, 27384, 102769, 117657, 126557, 17701, 48864, 40265, 85707, 15682, 64121, 26854, 121944, 27384, 102769, 20230, 107113, 116497, 36785, 109807, 114284, 30512, 37271, 72661, 69978, 103836, 108995, 32149, 11571, 220, 89408, 16144, 6271, 237, 74843, 15682, 110589, 16556, 105721, 78183, 100472, 113637, 27384, 61786, 105408, 16144, 112690, 30512, 123927, 104196, 76947, 64121, 100604, 32149, 1811, 100204, 121710, 31431, 78698, 107290, 111654, 102800, 9174, 110589, 15682, 46702, 103214, 5486, 68093, 103214, 106966, 106529, 49988, 16144, 105635, 103932, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 9174, 13177, 115364, 101544, 32938, 5486, 43511, 107707, 101544, 32938, 29295, 91774, 58942, 108048, 30512, 104736, 107436, 61689, 32149, 91006, 198, 110589, 15682, 13177, 37271, 9953, 16144, 112690, 118587, 117811, 21105, 232, 87177, 30512, 78434, 9174, 61826, 9953, 16144, 13177, 37271, 9953, 16144, 112690, 118587, 112854, 58942, 100934, 123253, 32149, 11571, 45631, 103271, 39135, 103271, 101426, 115335, 39135, 105310, 101426, 126481, 39135, 109657, 101426, 110849, 39135, 101828, 101426, 10646, 16556, 56051, 118844, 15682, 103478, 124625, 14309, 222, 106613, 20230, 102181, 32149, 115032, 102944, 38641, 66327, 114516, 64121, 103171, 108010, 30297, 1811, 16325, 102052, 114652, 104409, 28713, 114754, 107991, 32149, 121061, 1811, 72661, 112832, 122485, 103306, 112361, 17792, 21990, 30512, 105564, 25827, 103082, 28713, 16144, 111769, 57980, 10646, 109860, 13177, 115364, 101426, 30512, 111371, 72342, 81219, 126521, 102189, 57980, 66383, 95604, 115552, 38641, 109807, 103846, 102052, 101544, 32938, 29295, 91774, 107290, 22957, 100604, 102083, 76622, 107515, 109807, 101544, 32938, 32977, 13177, 105994, 10646, 121142, 103470, 36896, 43511, 17792, 117503, 102944, 32977, 91774, 107290, 5486, 104736, 62004, 100481, 105784, 32149, 104405, 32149, 102677, 100909, 38641, 9174, 122571, 110567, 29430, 102212, 79059, 34048, 16144, 14167, 100, 99397, 30512, 127145, 1811, 41758, 116670, 20230, 122407, 125916, 16144, 114754, 33334, 117201, 108176, 105908, 57903, 33541, 1811, 101182, 110018, 5486, 108008, 20230, 107969, 64209, 20230, 41758, 116670, 103296, 33035, 76947, 33334, 109115, 114754, 102334, 105879, 36896, 104405, 39926, 85701, 108680, 103296, 20230, 33035, 126832, 16144, 112130, 11571, 104626, 99, 40862, 16144, 75267, 28190, 103378, 104088, 104984, 126521, 77181, 124897, 32149, 91006, 19732, 124118, 101832, 28713, 105908, 57903, 33541, 109807, 116537, 33671, 119775, 103899, 58942, 79721, 66327, 21405, 16144, 118192, 38248, 230, 31431, 5486, 105994, 10110, 58426, 115350, 7705, 29295, 109134, 125231, 106592, 71289, 103836, 104865, 91774, 106956, 16144, 38641, 66383, 1811, 101182, 115350, 104088, 106272, 36896, 30591, 117255, 15682, 108056, 19732, 117876, 30512, 103792, 66383, 33334, 42891, 116826, 16995, 79721, 113637, 21990, 107263, 15682, 102212, 79059, 29295, 30297, 17129, 16995, 45829, 77181, 57903, 105823, 104127, 56051, 119520, 66953, 48552, 122060, 30512, 21105, 96, 107277, 22957, 26854, 107113, 16144, 38641, 1811, 110924, 30512, 58426, 122407, 125916, 16144, 116537, 106782, 240, 109013, 16144, 38641, 113637, 21990, 107263, 16144, 106154, 104874, 103306, 15682, 40265, 115926, 123628, 100909, 103351, 116233, 1811, 67016, 21105, 241, 16144, 21990, 107263, 16144, 117876, 30512, 67645, 33121, 103378, 16144, 41758, 116670, 16556, 115541, 108710, 30512, 103792, 114754, 91774, 113487, 76622, 101732, 105879, 109954, 1811, 95221, 109669, 126660, 17792, 32977, 102334, 32149, 110241, 33121, 107515, 1811, 95221, 109669, 47884, 116537, 59614, 101860, 61689, 1811, 105994, 33503, 106624, 119883, 102532, 111654, 102800, 106046, 61689, 9174, 90620, 105994, 33503, 106624, 119883, 47884, 100909, 10110, 102159, 34171, 7705, 19732, 37046, 29295, 101268, 246, 15682, 108010, 61689, 1811, 105994, 122485, 16556, 123726, 100934, 16144, 77181, 124897, 1811, 59614, 101860, 108975, 104873, 34171, 29295, 109215, 38641, 1811, 32335, 103167, 48249, 16144, 33710, 64178, 15682, 21105, 96, 107277, 106154, 100472, 16325, 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 ]
[ 126758, 110115, 102669, 105838, 32977, 121697, 101860, 13177, 110904, 20230, 53508, 231, 104195, 118587, 54926, 1811, 127091, 112727, 106824, 112987, 100604, 108995, 32149, 9174, 13177, 57903, 16144, 110674, 16144, 105994, 66383, 95604, 112690, 15682, 5486, 6271, 237, 74843, 16556, 43240, 119064, 105408, 24273, 119279, 87177, 107809, 16556, 119852, 22957, 109115, 112690, 36785, 1811, 77181, 126920, 13177, 57903, 16144, 110674, 16144, 105994, 118587, 113954, 103792, 105879, 30591, 103950, 32149, 11571, 220, 100204, 121710, 31431, 78698, 107290, 111654, 102800, 9174, 110589, 15682, 20713, 9953, 20713, 66224, 117073, 78943, 107743, 114341, 16556, 161, 63644, 30297, 13177, 78943, 107743, 114341, 16144, 104261, 10646, 109853, 48864, 102189, 9174, 13177, 78943, 107743, 114341, 66383, 15682, 106699, 111656, 106759, 106101, 252, 110776, 114754, 109988, 115737, 109115, 9080, 103195, 1811, 20713, 66224, 9080, 15682, 13177, 78943, 107743, 114341, 117503, 106699, 100927, 23039, 30926, 121142, 100927, 70626, 16144, 48864, 108710, 15682, 71289, 110104, 1811, 90620, 100927, 70626, 16144, 48864, 108710, 30512, 71289, 110104, 55031, 23039, 30926, 102416, 110284, 21105, 103, 47884, 38144, 103424, 117714, 111769, 1811, 106759, 106101, 252, 110776, 114754, 37046, 104680, 20230, 108044, 107800, 102518, 106592, 106699, 100927, 70626, 16144, 107141, 101275, 16556, 48864, 126559, 1811, 53283, 109375, 16144, 48864, 108710, 32977, 109215, 103195, 29295, 36896, 30591, 112568, 16144, 101427, 235, 33503, 102052, 5486, 103478, 124625, 14309, 222, 103826, 32977, 115408, 10110, 106759, 106101, 252, 7705, 32977, 107173, 20230, 61689, 57980, 66383, 95604, 126390, 36735, 112, 47884, 105908, 106084, 30369, 108995, 32149, 1811, 78943, 107743, 114341, 16144, 48154, 25333, 87177, 107809, 16556, 106116, 126390, 21105, 96, 107277, 36735, 112, 105898, 16995, 102944, 103195, 9174, 110589, 15682, 60596, 103214, 5486, 66224, 103214, 106966, 106529, 49988, 16144, 61786, 101701, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 9174, 13177, 108134, 16144, 89151, 49691, 121, 30512, 105184, 32149, 62004, 101200, 124845, 50021, 112909, 114284, 109134, 120208, 114792, 76947, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 15682, 32149, 103950, 111329, 124773, 123437, 67075, 29295, 64121, 103171, 29295, 107740, 54926, 101200, 115717, 124059, 32149, 81191, 8107, 1811, 108134, 15682, 115364, 122202, 116044, 71289, 116491, 104309, 55031, 50928, 101732, 113146, 55031, 5486, 124773, 123437, 67075, 17905, 30512, 106767, 15024, 18904, 30369, 113146, 115717, 79721, 1811, 64121, 26854, 117940, 124131, 103927, 30512, 122483, 103306, 5486, 117669, 1569, 106, 117669, 16556, 71289, 111842, 31431, 126198, 31431, 5486, 117384, 104309, 16556, 89046, 117139, 30512, 19732, 76947, 61689, 101832, 1811, 118597, 46034, 38574, 32977, 119448, 47884, 104721, 116547, 5486, 37046, 104680, 120950, 13177, 46729, 16144, 117384, 10646, 55031, 124131, 103927, 20230, 104721, 116547, 79721, 107030, 104680, 29295, 117734, 21990, 16144, 113146, 5486, 98915, 36785, 43514, 16144, 46729, 71289, 103031, 105514, 5486, 109453, 16144, 46729, 20230, 117384, 119707, 76622, 104533, 50834, 15682, 102040, 32131, 102040, 32131, 56051, 102944, 38641, 123601, 114754, 20834, 38144, 124089, 105755, 33334, 104503, 98369, 71289, 33334, 103760, 121944, 20834, 110071, 1811, 19732, 111243, 126238, 105714, 30512, 107113, 106592, 114284, 20834, 78434, 9174, 30813, 38144, 116491, 30512, 98499, 104127, 16995, 104533, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 105908, 102181, 32149, 115032, 77219, 30512, 30832, 20230, 121256, 1811, 44915, 15682, 33671, 120950, 102944, 38641, 9174, 59795, 17792, 19732, 102433, 17792, 60868, 32131, 37823, 108941, 16073, 29295, 108695, 16556, 38093, 87177, 30512, 109768, 79721, 1811, 76739, 44971, 102832, 108337, 20230, 16144, 31431, 106116, 106307, 50834, 16144, 38093, 87177, 30512, 59795, 116537, 27384, 112495, 71174, 16556, 71289, 100472, 16144, 38641, 1811, 102433, 116537, 13177, 51330, 87177, 15682, 76739, 44971, 102832, 108337, 30512, 104989, 31431, 38144, 55031, 1981, 10646, 19732, 110596, 101557, 106, 29295, 43514, 20230, 115791, 102131, 38641, 1811, 76739, 44971, 102832, 108337, 30512, 104989, 31431, 38144, 55031, 59795, 116537, 36896, 26854, 112371, 38093, 87177, 30512, 82533, 109315, 16144, 11571, 83639, 27384, 48249, 20230, 111828, 24273, 102416, 55487, 101557, 106, 126198, 110115, 1981, 126557, 102433, 116537, 13177, 26854, 112371, 111828, 24273, 29295, 27384, 71174, 16556, 87177, 17663, 104865, 113954, 118765, 1811, 76739, 44971, 102832, 108337, 32943, 77181, 5486, 43511, 124911, 30512, 55487, 101557, 106, 56051, 110115, 1981, 126557, 67645, 112384, 32977, 55487, 101557, 106, 103792, 16144, 119627, 5486, 59795, 116537, 118322, 123628, 120007, 20230, 55487, 101557, 106, 54926, 1811, 102433, 116537, 106116, 43511, 27384, 110095, 30512, 55487, 101557, 106, 54926, 1811, 106581, 16144, 121953, 125651, 122262, 106483, 119178, 55487, 101557, 106, 15024, 40862, 103836, 16144, 38641, 9174, 37046, 104680, 29295, 117734, 21990, 113146, 5486, 108134, 15682, 13177, 26854, 107188, 32149, 46034, 109156, 110104, 15024, 5486, 46034, 109156, 107991, 112973, 30250, 227, 102518, 117503, 38641, 1811, 64121, 26854, 117940, 13177, 111338, 58911, 16144, 108134, 115991, 108048, 30512, 106767, 15024, 20834, 39926, 103856, 47884, 115364, 102944, 117657, 66383, 95604, 104654, 30512, 37705, 76947, 61689, 1811, 67016, 21105, 251, 16144, 108134, 29295, 13177, 37656, 102800, 102944, 32149, 59712, 56965, 108010, 103836, 102944, 32149, 118587, 122225, 54926, 48634, 29295, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 108134, 16144, 89151, 49691, 121, 30512, 105184, 32149, 62004, 5486, 80539, 50021, 112909, 114284, 109134, 120208, 114792, 76947, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 15682, 32149, 107462, 76947, 111654, 102800, 106046, 61689, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 61786, 101701, 105408, 112197, 87177, 110276, 13177, 43511, 17792, 111363, 55487, 101557, 106, 59712, 108134, 16144, 89151, 49691, 121, 118587, 112727, 106824, 112987, 100604, 108995, 32149, 1811, 108134, 70626, 16144, 107141, 101275, 16556, 48864, 108710, 30512, 103792, 116497, 109846, 5486, 103350, 124299, 103082, 198, 100934, 32149, 33476, 32149, 30512, 78698, 107290, 111654, 102800, 1811, 108112, 110104, 117669, 1569, 106, 117669, 113245, 71289, 111842, 31431, 117758, 20251, 32131, 112193, 15682, 5486, 108031, 124305, 101275, 119607, 111769, 32149, 1811, 61786, 101701, 105408, 16144, 87177, 30512, 100204, 121710, 111842, 103868, 78183, 76947, 111654, 102800, 9174, 110589, 15682, 44597, 103214, 5486, 66115, 103214, 106966, 106529, 49988, 126636, 61786, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 9174, 13177, 17792, 21990, 30512, 126407, 62004, 76864, 198, 124059, 32149, 25963, 25963, 8107, 67016, 123726, 126386, 86127, 29295, 36896, 17792, 21990, 30512, 126407, 62004, 76864, 102677, 33334, 87177, 123410, 105908, 126521, 100909, 32149, 104405, 32149, 15682, 78183, 107277, 107515, 1811, 67016, 21105, 123, 26854, 98369, 102052, 21105, 96, 107277, 19732, 113954, 39926, 111654, 102800, 16144, 38641, 9174, 122571, 36896, 17792, 21990, 66383, 15682, 13177, 9080, 104680, 16144, 104654, 16144, 108882, 64121, 30358, 101832, 10646, 118816, 78698, 107290, 61689, 1811, 64121, 26854, 117940, 113954, 103082, 100934, 123253, 32149, 11571, 76502, 104680, 16144, 104654, 15682, 82973, 113468, 106145, 17129, 115032, 113334, 38641, 55031, 5486, 50211, 51385, 16144, 34617, 118821, 27384, 102769, 103195, 13177, 82973, 30512, 27384, 102769, 20230, 66383, 95604, 109335, 5486, 21105, 96, 107277, 19732, 103350, 124299, 30512, 109768, 76947, 111654, 102800, 19732, 78698, 107290, 61689, 9174, 122571, 33671, 16144, 34617, 118821, 105908, 27384, 102769, 118816, 78698, 107290, 61689, 9174, 20713, 59739, 30832, 15682, 13177, 127091, 107969, 16325, 108608, 102944, 107407, 10646, 100909, 38641, 9174, 122571, 16325, 104575, 16144, 113146, 55031, 66953, 20251, 101198, 52414, 16073, 30512, 71289, 107462, 79721, 1811, 37656, 74245, 30297, 17129, 47884, 15682, 104435, 16144, 38641, 1811, 72661, 107969, 16325, 30512, 39926, 117734, 72661, 108167, 103214, 64121, 5486, 102667, 72661, 66953, 20251, 101198, 52414, 113883, 60868, 105048, 33710, 102416, 124629, 79721, 1811, 123113, 98369, 71289, 124180, 39850, 78983, 105352, 122393, 123606, 110745, 112495, 112345, 102416, 32977, 110284, 103082, 17701, 108363, 30512, 121256, 1811, 102667, 30512, 124305, 101275, 56051, 37271, 72661, 110745, 102769, 26854, 17792, 105459, 36785, 106046, 76947, 61689, 15024, 5486, 113841, 32977, 106307, 102532, 61689, 1811, 126920, 126521, 17792, 20230, 122393, 17129, 103468, 19732, 112391, 127280, 9174, 25963, 59739, 30832, 15682, 13177, 40053, 20230, 48864, 102802, 106307, 105784, 10646, 100909, 38641, 9174, 64121, 26854, 98369, 32977, 50928, 37689, 26854, 70626, 30832, 5486, 115820, 37689, 26854, 70626, 30832, 107407, 123253, 66327, 108031, 126521, 78183, 1981, 10646, 19732, 74482, 85791, 70141, 50834, 101983, 104533, 5486, 110924, 16556, 110137, 102802, 100481, 32149, 123733, 31431, 33541, 1811, 28713, 19732, 58942, 115820, 37689, 100927, 70626, 115287, 103306, 32977, 5486, 121837, 126693, 108048, 20230, 106608, 100204, 28713, 113702, 29295, 50928, 102204, 33541, 1811, 99849, 32977, 21105, 103, 117201, 30591, 104984, 113702, 15682, 50928, 102204, 107515, 124192, 115926, 123628, 100909, 38641, 113637, 109335, 36896, 104575, 66383, 95604, 110229, 121142, 103470, 5486, 106222, 17792, 101983, 104984, 115364, 107430, 75267, 16556, 71289, 107462, 32149, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 34617, 59739, 30832, 15682, 13177, 41642, 111331, 17792, 30512, 27384, 102769, 117657, 66383, 95604, 100909, 38641, 9174, 86127, 127282, 20713, 17792, 77181, 123726, 100481, 76622, 107515, 1811, 122013, 5486, 106759, 98915, 5486, 107059, 22398, 39850, 78983, 5486, 100927, 102351, 1981, 1811, 111338, 58911, 16144, 114754, 86127, 126027, 41642, 31431, 16556, 104654, 30512, 39926, 33334, 102204, 33541, 1811, 72661, 51330, 105933, 96356, 60358, 26854, 17792, 105459, 122416, 77181, 124897, 1811, 33035, 48864, 108968, 17905, 16144, 66953, 117718, 103768, 108436, 46034, 98369, 108948, 65854, 98369, 5486, 117273, 38641, 33121, 108010, 30297, 17792, 126027, 100909, 38641, 1811, 114516, 15682, 106222, 19732, 59739, 105722, 76947, 104654, 30512, 127145, 1811, 41642, 116310, 20230, 109440, 115461, 119707, 124324, 104466, 104654, 30512, 109768, 50834, 17129, 109954, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 127211, 61786, 105408, 112197, 87177, 110276, 13177, 127091, 107969, 16325, 108608, 102944, 107407, 59712, 40053, 20230, 48864, 102802, 106307, 105784, 59712, 41642, 111331, 17792, 30512, 27384, 102769, 117657, 126557, 17701, 48864, 40265, 85707, 15682, 64121, 26854, 121944, 27384, 102769, 20230, 107113, 116497, 36785, 109807, 114284, 30512, 37271, 72661, 69978, 103836, 108995, 32149, 11571, 220, 89408, 16144, 6271, 237, 74843, 15682, 110589, 16556, 105721, 78183, 100472, 113637, 27384, 61786, 105408, 16144, 112690, 30512, 123927, 104196, 76947, 64121, 100604, 32149, 1811, 100204, 121710, 31431, 78698, 107290, 111654, 102800, 9174, 110589, 15682, 46702, 103214, 5486, 68093, 103214, 106966, 106529, 49988, 16144, 105635, 103932, 105408, 55031, 33334, 87177, 30512, 30297, 32149, 29295, 100472, 9174, 13177, 115364, 101544, 32938, 5486, 43511, 107707, 101544, 32938, 29295, 91774, 58942, 108048, 30512, 104736, 107436, 61689, 32149, 91006, 198, 110589, 15682, 13177, 37271, 9953, 16144, 112690, 118587, 117811, 21105, 232, 87177, 30512, 78434, 9174, 61826, 9953, 16144, 13177, 37271, 9953, 16144, 112690, 118587, 112854, 58942, 100934, 123253, 32149, 11571, 45631, 103271, 39135, 103271, 101426, 115335, 39135, 105310, 101426, 126481, 39135, 109657, 101426, 110849, 39135, 101828, 101426, 10646, 16556, 56051, 118844, 15682, 103478, 124625, 14309, 222, 106613, 20230, 102181, 32149, 115032, 102944, 38641, 66327, 114516, 64121, 103171, 108010, 30297, 1811, 16325, 102052, 114652, 104409, 28713, 114754, 107991, 32149, 121061, 1811, 72661, 112832, 122485, 103306, 112361, 17792, 21990, 30512, 105564, 25827, 103082, 28713, 16144, 111769, 57980, 10646, 109860, 13177, 115364, 101426, 30512, 111371, 72342, 81219, 126521, 102189, 57980, 66383, 95604, 115552, 38641, 109807, 103846, 102052, 101544, 32938, 29295, 91774, 107290, 22957, 100604, 102083, 76622, 107515, 109807, 101544, 32938, 32977, 13177, 105994, 10646, 121142, 103470, 36896, 43511, 17792, 117503, 102944, 32977, 91774, 107290, 5486, 104736, 62004, 100481, 105784, 32149, 104405, 32149, 102677, 100909, 38641, 9174, 122571, 110567, 29430, 102212, 79059, 34048, 16144, 14167, 100, 99397, 30512, 127145, 1811, 41758, 116670, 20230, 122407, 125916, 16144, 114754, 33334, 117201, 108176, 105908, 57903, 33541, 1811, 101182, 110018, 5486, 108008, 20230, 107969, 64209, 20230, 41758, 116670, 103296, 33035, 76947, 33334, 109115, 114754, 102334, 105879, 36896, 104405, 39926, 85701, 108680, 103296, 20230, 33035, 126832, 16144, 112130, 11571, 104626, 99, 40862, 16144, 75267, 28190, 103378, 104088, 104984, 126521, 77181, 124897, 32149, 91006, 19732, 124118, 101832, 28713, 105908, 57903, 33541, 109807, 116537, 33671, 119775, 103899, 58942, 79721, 66327, 21405, 16144, 118192, 38248, 230, 31431, 5486, 105994, 10110, 58426, 115350, 7705, 29295, 109134, 125231, 106592, 71289, 103836, 104865, 91774, 106956, 16144, 38641, 66383, 1811, 101182, 115350, 104088, 106272, 36896, 30591, 117255, 15682, 108056, 19732, 117876, 30512, 103792, 66383, 33334, 42891, 116826, 16995, 79721, 113637, 21990, 107263, 15682, 102212, 79059, 29295, 30297, 17129, 16995, 45829, 77181, 57903, 105823, 104127, 56051, 119520, 66953, 48552, 122060, 30512, 21105, 96, 107277, 22957, 26854, 107113, 16144, 38641, 1811, 110924, 30512, 58426, 122407, 125916, 16144, 116537, 106782, 240, 109013, 16144, 38641, 113637, 21990, 107263, 16144, 106154, 104874, 103306, 15682, 40265, 115926, 123628, 100909, 103351, 116233, 1811, 67016, 21105, 241, 16144, 21990, 107263, 16144, 117876, 30512, 67645, 33121, 103378, 16144, 41758, 116670, 16556, 115541, 108710, 30512, 103792, 114754, 91774, 113487, 76622, 101732, 105879, 109954, 1811, 95221, 109669, 126660, 17792, 32977, 102334, 32149, 110241, 33121, 107515, 1811, 95221, 109669, 47884, 116537, 59614, 101860, 61689, 1811, 105994, 33503, 106624, 119883, 102532, 111654, 102800, 106046, 61689, 9174, 90620, 105994, 33503, 106624, 119883, 47884, 100909, 10110, 102159, 34171, 7705, 19732, 37046, 29295, 101268, 246, 15682, 108010, 61689, 1811, 105994, 122485, 16556, 123726, 100934, 16144, 77181, 124897, 1811, 59614, 101860, 108975, 104873, 34171, 29295, 109215, 38641, 1811, 32335, 103167, 48249, 16144, 33710, 64178, 15682, 21105, 96, 107277, 106154, 100472, 16325, 16556 ]
[ 108948, 106483, 117714, 101544, 32938, 30512, 113797, 30358, 109768, 50834, 17129, 109954, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 114516, 102052, 13177, 102159, 34171, 118587, 27384, 102769, 116446, 111654, 102800, 102677, 105635, 103932, 105408, 16144, 114284, 109807, 102159, 34171, 15682, 43511, 17792, 105352, 101182, 105272, 55031, 106116, 43511, 107707, 102159, 34171, 32977, 113797, 30358, 39926, 111654, 102800, 102677, 100909, 103351, 66327, 43511, 107707, 101544, 32938, 30512, 104736, 109315, 105908, 106084, 100934, 32149, 126557, 126843, 15682, 100204, 121710, 31431, 78698, 107290, 111654, 102800, 1811, 128001, 128000, 14711, 110758, 106307, 54322, 77062, 226, 102677, 121507, 57942, 95, 198, 115514, 106518, 16144, 50021, 106307, 54322, 77062, 226, 29295, 104736, 62004, 102204, 104533, 5486, 112424, 9554, 102052, 13177, 50021, 106307, 17792, 111769, 66383, 84389, 33541, 1811, 115514, 106518, 50021, 106307, 15682, 5486, 57326, 112718, 16144, 112686, 106518, 103378, 126194, 5486, 108703, 35330, 123160, 68759, 25197, 96452, 117718, 112686, 106518, 32977, 122617, 101682, 76622, 120321, 104699, 100909, 115717, 33541, 105879, 5486, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 117824, 30297, 100909, 113468, 5486, 108703, 35330, 16144, 46456, 124237, 16995, 104577, 102781, 15682, 123733, 31431, 33541, 1811, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 15682, 5486, 118006, 114940, 106053, 32938, 16556, 23039, 30297, 101200, 115717, 33541, 1811, 110382, 77181, 5486, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 16144, 89753, 33121, 109853, 5486, 48154, 126362, 78434, 9174, 14711, 110758, 106307, 54322, 77062, 226, 102677, 46034, 106307, 50834, 198, 50021, 106307, 54322, 77062, 226, 15682, 5486, 50021, 106307, 54926, 106592, 53283, 76947, 55031, 5486, 18, 71493, 9953, 23897, 32943, 20230, 118006, 114940, 106053, 32938, 20230, 109948, 20834, 30512, 20834, 30813, 123207, 16995, 76622, 107515, 1811, 59739, 109709, 5486, 50021, 106307, 30512, 53283, 76947, 55031, 18, 71493, 9953, 30512, 103188, 105557, 38144, 114732, 19732, 5486, 50021, 106307, 54322, 77062, 226, 15682, 103082, 103470, 109020, 102677, 100909, 38641, 1811, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 20230, 109215, 26854, 102181, 104770, 15682, 5486, 108936, 9554, 102052, 5486, 118006, 114940, 106053, 32938, 20230, 104874, 58942, 59739, 107441, 101182, 13177, 50021, 106307, 54322, 77062, 226, 102782, 43032, 102181, 10646, 9458, 110226, 17701, 104371, 112810, 4728, 35757, 9458, 101307, 50021, 106307, 107707, 109076, 108847, 105037, 226, 22656, 9458, 101307, 50021, 106307, 107707, 101987, 70821, 95544, 21418, 108847, 9458, 102782, 80195, 107707, 109076, 108847, 105037, 226, 22656, 9458, 102782, 80195, 107707, 101987, 70821, 95544, 9458, 103911, 108446, 102769, 46034, 121711, 33541, 1811, 90620, 15024, 5486, 109215, 102181, 104770, 15682, 114940, 106053, 32938, 113468, 108901, 26854, 31431, 33541, 105879, 5486, 102782, 80195, 112772, 114940, 106053, 32938, 16556, 114140, 54926, 104466, 103801, 109954, 9174, 827, 109006, 106307, 50834, 37026, 33014, 15682, 121568, 72661, 114392, 88367, 38641, 198, 109215, 102181, 104770, 30512, 21441, 225, 107800, 33503, 5486, 101307, 50021, 106307, 114754, 109988, 115737, 100472, 39177, 28542, 16144, 101987, 32938, 16144, 36651, 15568, 226, 117282, 118006, 114940, 106053, 32938, 20230, 118664, 78434, 1811, 9039, 111299, 56965, 123090, 114940, 106053, 32938, 55031, 5486, 102782, 80195, 16144, 44915, 88356, 114140, 16144, 17161, 102181, 29295, 109948, 50834, 33541, 105879, 5486, 17161, 102181, 20230, 61304, 107121, 110731, 16995, 47884, 59739, 116421, 105284, 99397, 20230, 113925, 15024, 5486, 113112, 13372, 110408, 104371, 30512, 39926, 114940, 106053, 32938, 20230, 104196, 37705, 78434, 1811, 104196, 37705, 103646, 113925, 44915, 30512, 64121, 38144, 5486, 114940, 106053, 32938, 29295, 109606, 110214, 19732, 122225, 126693, 36896, 50021, 106307, 54322, 77062, 226, 102782, 43032, 101682, 22649, 114397, 10646, 29295, 9039, 111299, 56965, 123090, 31938, 113, 37705, 116216, 50834, 33541, 1811, 71689, 29295, 5486, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 16144, 89753, 33121, 121711, 33541, 9174, 827, 110758, 106307, 16144, 68759, 25197, 96452, 22398, 31634, 72238, 107407, 110018, 20230, 54322, 77062, 226, 29295, 111800, 118219, 84389, 33541, 198, 115514, 106518, 50021, 106307, 16144, 54322, 77062, 226, 30512, 121507, 107001, 24273, 16144, 114667, 103306, 15682, 127359, 25197, 96452, 117718, 112686, 106518, 29295, 31958, 33503, 111201, 127181, 107803, 71289, 5486, 50021, 106307, 106106, 16995, 104309, 20230, 112959, 50834, 22957, 17129, 103468, 47884, 100604, 102083, 100472, 114667, 29295, 123680, 102639, 102204, 33541, 118855, 5486, 18, 71493, 9953, 23897, 32943, 20230, 50021, 106307, 54322, 77062, 226, 123410, 32149, 104405, 32149, 104662, 62004, 102204, 100604, 115612, 16144, 115517, 107407, 107803, 102052, 5486, 118006, 114940, 106053, 32938, 20230, 13177, 50021, 106307, 54322, 77062, 226, 16144, 124122, 102782, 43032, 117232, 109337, 101544, 118587, 102782, 109311, 54926, 100909, 113468, 5486, 109337, 101544, 29295, 104736, 62004, 110071, 107803, 32977, 57903, 33541, 1811, 128001, 128000, 22656, 17792, 102052, 107943, 59739, 123731, 29295, 103470, 111243, 5486, 41642, 116310, 126328, 13177, 71174, 119707, 76622, 20230, 47884, 16995, 59712, 101513, 115389, 29295, 109161, 16995, 104865, 26854, 91006, 106046, 78183, 106824, 114732, 17792, 76947, 61689, 123794, 1811, 53901, 99750, 114792, 28713, 104028, 17792, 19732, 5486, 109161, 16995, 104371, 47523, 30512, 58318, 107290, 114732, 17792, 1811, 16995, 100472, 16995, 99849, 29295, 108010, 30297, 105879, 109954, 32149, 95532, 104371, 47523, 48634, 122060, 20251, 44971, 109793, 115247, 119283, 31106, 120, 106150, 103633, 45829, 117940, 36896, 31958, 105184, 26854, 114667, 119703, 16144, 101983, 112371, 32149, 115389, 126832, 17792, 5486, 120007, 20230, 16937, 102395, 99750, 30512, 58318, 107290, 114732, 17792, 20230, 55999, 33035, 54926, 112973, 124620, 105321, 19732, 103470, 112391, 29295, 109161, 16995, 36761, 102677, 100909, 10646, 118816, 122984, 78434, 9174, 110924, 16556, 111476, 105321, 19732, 103470, 112391, 16144, 109161, 16995, 114754, 5486, 43568, 37689, 109375, 16556, 71289, 103836, 6269, 108710, 101557, 96, 30512, 123680, 102639, 100481, 90620, 50834, 79721, 118844, 55031, 48154, 126362, 54926, 60596, 59739, 20230, 40265, 38144, 15682, 115464, 105908, 101182, 26854, 19732, 112391, 28713, 24273, 15682, 106116, 108710, 101557, 96, 104088, 74245, 39926, 5486, 17792, 20230, 58318, 105262, 104371, 47523, 30512, 57326, 112718, 20230, 104721, 58942, 100481, 50834, 17129, 109954, 9174, 567, 4996, 43002, 47523, 16144, 114652, 100604, 114754, 108064, 16144, 56965, 112649, 71289, 103836, 109161, 108710, 101557, 96, 60596, 102647, 198, 14711, 50550, 20713, 111708, 99849, 30512, 113727, 100934, 124233, 124403, 10646, 112741, 30512, 103792, 198, 105994, 29295, 103572, 38574, 5486, 67645, 120950, 112741, 30512, 103792, 32149, 37689, 109375, 127145, 32149, 95532, 13177, 115389, 123671, 29295, 43514, 26854, 116537, 5486, 105994, 15682, 110219, 16144, 112741, 30512, 109768, 104533, 91763, 76947, 102532, 32977, 5486, 41642, 31431, 55031, 91774, 104533, 43568, 112741, 101983, 103836, 105908, 57903, 108048, 20230, 95221, 109669, 16995, 100481, 107515, 1811, 20834, 38093, 117714, 112661, 56965, 32977, 5486, 87177, 30512, 104655, 119188, 110018, 32977, 116898, 85791, 103171, 75267, 28190, 16556, 863, 105321, 107173, 91763, 123671, 126386, 108995, 863, 102677, 112741, 29295, 5486, 41642, 31431, 126328, 112391, 29295, 109161, 47884, 91774, 125398, 16144, 38641, 66383, 5486, 119283, 31106, 120, 98369, 9174, 43568, 112741, 117084, 114732, 5486, 125641, 29295, 112741, 117158, 38144, 22957, 100604, 114667, 15682, 110745, 50834, 47884, 25963, 59739, 101182, 102131, 38641, 9174, 115303, 59739, 30832, 15682, 5486, 125641, 30512, 121406, 19732, 109161, 16995, 105908, 72718, 50834, 30369, 16144, 111769, 32149, 5486, 41642, 31431, 55031, 104405, 91763, 126832, 108995, 19732, 95221, 20230, 15024, 103188, 105557, 38144, 114732, 55031, 124845, 105104, 28713, 59739, 30832, 29295, 5486, 125641, 15682, 103851, 58942, 62004, 117657, 125231, 5486, 30832, 80195, 76947, 112987, 124324, 119150, 114754, 127181, 55031, 36785, 102083, 61689, 9174, 13177, 102433, 17792, 66378, 19361, 26854, 104865, 121061, 16144, 119627, 5486, 103851, 58942, 62004, 29295, 58666, 102800, 106046, 16995, 104526, 126559, 24273, 29295, 43240, 47884, 16995, 33503, 42891, 116826, 61689, 122262, 15024, 19732, 71289, 107188, 109335, 58666, 106624, 15682, 57903, 33541, 29295, 5486, 125641, 16144, 21405, 102321, 29295, 116213, 16995, 105879, 44620, 99849, 30512, 113727, 100934, 124233, 124403, 36761, 106046, 78183, 106824, 103801, 61689, 1811, 44620, 51330, 17792, 19732, 87177, 39926, 102532, 105465, 102800, 26854, 36761, 102083, 100472, 53901, 104371, 47523, 30512, 5486, 120007, 20230, 58318, 105262, 109335, 103082, 107515, 116326, 119283, 31106, 120, 98369, 23954, 58426, 103846, 5486, 112741, 19732, 96356, 123927, 46034, 123927, 30512, 21601, 107290, 5486, 105465, 102800, 105110, 105465, 102800, 5486, 109834, 103868, 114792, 76947, 104655, 102532, 61689, 57980, 5486, 102677, 16144, 30512, 78183, 107277, 126172, 47884, 108044, 105262, 105908, 27384, 102769, 108176, 102083, 61689, 9174, 13177, 105465, 102800, 5486, 30297, 33121, 102800, 102083, 100472, 57326, 112718, 16144, 125641, 15682, 112832, 105352, 109440, 115461, 119707, 124324, 105879, 5486, 114284, 121381, 31431, 21405, 102321, 39926, 64121, 38144, 72315, 1811, 101557, 96, 33121, 126386, 17792, 118816, 5486, 119869, 15682, 105557, 22957, 43514, 123733, 100472, 31431, 5486, 120007, 16144, 105791, 39135, 30512, 17885, 118, 100472, 31431, 39926, 5486, 119467, 47884, 112391, 38144, 114732, 32149, 110241, 33121, 107515, 1811, 67016, 21105, 251, 22957, 16556, 5486, 120007, 16144, 105791, 39135, 30512, 98499, 104127, 55031, 71289, 103950, 1981, 104309, 107118, 21105, 103, 117201, 72315, 1811, 117232, 119379, 16556, 57980, 16995, 105879, 5486, 114284, 121381, 31431, 125641, 104088, 72342, 17129, 109954, 1811, 120007, 55031, 99849, 123772, 120577, 95543, 106608, 29295, 30591, 104984, 5486, 105994, 29295, 104721, 33208, 103792, 102677, 100909, 38641, 116326, 119283, 31106, 120, 98369, 23954, 27384, 87743, 230, 70892, 253, 26854, 104699, 110706, 16144, 112741, 16556, 5486, 31958, 30369, 16995, 125641, 30512, 21405, 102321, 39926, 64121, 17129, 109954, 9174, 14711, 50550, 25963, 5232, 33334, 107591, 16144, 112690, 30512, 13177, 103851, 58942, 62004, 20230, 10646, 108044, 58942, 100934, 198, 57326, 102803, 102832, 84477, 72661, 91482, 76428, 102750, 22398, 57207, 107060, 72661, 5486, 13647, 230, 31431, 53953, 30512, 16995, 90620, 47884, 101513, 38093, 115991, 33541, 123794, 113637, 75267, 28190, 113245, 57980, 85791, 106624, 100604, 108710, 101557, 96, 15682, 5486, 72342, 42891, 32149, 47884, 112197, 107591, 16144, 112690, 30512, 13177, 103851, 58942, 62004, 20230, 10646, 108044, 107290, 114732, 100909, 9174, 103851, 58942, 62004, 117084, 114732, 104468, 5486, 17792, 19732, 112361, 104466, 39926, 33334, 76622, 81219, 43568, 111108, 109860, 5486, 30297, 33121, 102800, 123682, 104612, 122131, 16144, 106548, 24273, 29295, 78183, 124403, 110745, 17792, 103306, 33334, 107591, 32977, 68759, 118567, 33035, 112586, 109134, 125231, 1981, 104309, 19732, 78698, 107290, 114732, 105908, 101182, 55031, 118816, 119283, 31106, 120, 117940, 78244, 61689, 1811, 67016, 21105, 232, 107591, 16144, 863, 108044, 58942, 24273, 863, 30512, 114715, 104721, 105262, 121142, 5486, 112361, 112690, 72661, 5486, 120007, 111363, 104371, 47523, 15682, 102472, 32131, 37823, 19732, 104721, 116547, 33541, 9174, 119283, 31106, 120, 117940, 13177, 44620, 97135, 61689, 36761, 19732, 96311, 120, 102800, 105791, 16556, 117952, 106824, 32977, 124620, 30591, 33121, 11571, 113170, 109709, 127879, 76947, 100604, 104865, 26854, 11571, 36761, 19732, 5486, 120007, 20230, 89783, 82420, 26854, 68759, 25197, 96452, 22398, 125641, 30512, 108623, 32149, 127397, 114732, 125396, 115991, 33541, 1811, 13647, 230, 100472, 80195, 75267, 55031, 112990, 5486, 67645, 33121, 103378, 104940, 104127, 122396, 104865, 30512, 53283, 31431, 106956, 16144, 38641, 66383, 64467, 112419, 15024, 5486, 57980, 16995, 104371, 47523, 30512, 58318, 105262, 102052, 5486, 1049, 113127, 16144, 112741, 16556, 108948, 107591, 16144, 120208, 30512, 108044, 105262, 105908, 120098, 108176, 102083, 61689, 9174, 13647, 230, 31431, 53953, 114475, 76622, 18655, 100472, 112661, 122756, 5486, 114284, 50834, 111331, 49838, 105791, 71289, 5486, 102802, 121710, 31431, 56051, 112741, 104088, 127397, 110745, 50834, 47884, 95543, 106608, 30512, 103801, 109954, 9174, 53900, 5486, 98915, 104067, 71289, 122013, 102052, 30297, 33121, 102800, 125641, 30512, 20834, 72342, 111243, 5486, 18655, 73686, 61826, 71289, 17905, 65743, 55031, 127091, 30512, 120837, 33503, 100472, 104983, 102052, 5486, 21388, 107591, 101983, 110104, 104466, 95221, 117657, 30591, 109709, 5486, 107328, 27479, 30512, 104721, 107290, 114732, 17792, 32977, 127181, 102131, 38641, 9174, 13177, 80195, 75267, 29295, 108010, 100472, 103306, 32977, 5486, 125641, 15682, 78183, 107277, 126172, 47884, 108044, 107290, 72315, 123405, 112568, 16144, 44620, 30297, 33121, 102800, 36761, 102677, 101067, 16995, 30512, 108044, 58942, 109115, 33503, 5486, 120007, 15682, 33541, 33541, 30591, 112568, 30512, 120111, 108176, 123253, 116326, 119283, 31106, 120, 98369, 23954, 103851, 58942, 62004, 20230, 108044, 105262, 16144, 126194, 5486, 104940, 102802, 71289, 30297, 33121, 21105, 243, 30512, 119448, 47884, 21405, 102321, 39926, 5486, 120007, 110792, 124349, 30512, 123332, 62004, 106956, 125651, 9174, 14711, 50550, 34617, 5232, 102717, 62004, 109115, 110018, 20230, 13177, 50021, 112909, 107750, 103836, 111329, 17792, 55031, 102717, 62004, 109115, 110018, 20230, 108149, 112568, 15682, 72238, 74245, 20230, 104940, 103854, 33541, 32149, 11571, 13177, 33334, 101083, 121355, 16556, 124304, 59712, 127091, 118124, 107407, 20230, 121953, 100604, 66383, 5486, 50021, 112909, 107750, 76947, 114732, 24273, 32977, 107991, 123253, 9174, 80673, 120007, 16144, 22656, 64209, 30512, 104284, 124475, 84851, 108867, 39926, 5486, 107750, 76947, 5486, 104284, 124475, 120175, 104526, 104004, 14382, 85701, 15682, 56965, 121953, 103470, 5486, 112741, 117158, 38144, 103801, 103836, 102083, 61689, 9174, 13177, 58426, 114754, 102131, 78244, 103836, 105272, 55031, 121906, 113461, 1811, 19732, 72238, 74245, 20230, 101682, 76622, 18655, 104984, 104712, 16144, 38641, 1811, 105994, 29295, 67645, 33121, 103378, 104940, 103854, 30369, 32149, 5486, 104712, 95221, 17620, 16556, 103188, 48154, 122101, 32149, 29295, 27384, 30926, 1811, 105465, 102800, 102677, 125641, 16144, 111017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 108948, 106483, 117714, 101544, 32938, 30512, 113797, 30358, 109768, 50834, 17129, 109954, 9174, 30813, 38144, 5486, 64121, 26854, 117940, 99849, 30512, 112391, 28713, 120900, 1811, 114516, 102052, 13177, 102159, 34171, 118587, 27384, 102769, 116446, 111654, 102800, 102677, 105635, 103932, 105408, 16144, 114284, 109807, 102159, 34171, 15682, 43511, 17792, 105352, 101182, 105272, 55031, 106116, 43511, 107707, 102159, 34171, 32977, 113797, 30358, 39926, 111654, 102800, 102677, 100909, 103351, 66327, 43511, 107707, 101544, 32938, 30512, 104736, 109315, 105908, 106084, 100934, 32149, 126557, 126843, 15682, 100204, 121710, 31431, 78698, 107290, 111654, 102800, 1811, 128001, 128000, 14711, 110758, 106307, 54322, 77062, 226, 102677, 121507, 57942, 95, 198, 115514, 106518, 16144, 50021, 106307, 54322, 77062, 226, 29295, 104736, 62004, 102204, 104533, 5486, 112424, 9554, 102052, 13177, 50021, 106307, 17792, 111769, 66383, 84389, 33541, 1811, 115514, 106518, 50021, 106307, 15682, 5486, 57326, 112718, 16144, 112686, 106518, 103378, 126194, 5486, 108703, 35330, 123160, 68759, 25197, 96452, 117718, 112686, 106518, 32977, 122617, 101682, 76622, 120321, 104699, 100909, 115717, 33541, 105879, 5486, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 117824, 30297, 100909, 113468, 5486, 108703, 35330, 16144, 46456, 124237, 16995, 104577, 102781, 15682, 123733, 31431, 33541, 1811, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 15682, 5486, 118006, 114940, 106053, 32938, 16556, 23039, 30297, 101200, 115717, 33541, 1811, 110382, 77181, 5486, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 16144, 89753, 33121, 109853, 5486, 48154, 126362, 78434, 9174, 14711, 110758, 106307, 54322, 77062, 226, 102677, 46034, 106307, 50834, 198, 50021, 106307, 54322, 77062, 226, 15682, 5486, 50021, 106307, 54926, 106592, 53283, 76947, 55031, 5486, 18, 71493, 9953, 23897, 32943, 20230, 118006, 114940, 106053, 32938, 20230, 109948, 20834, 30512, 20834, 30813, 123207, 16995, 76622, 107515, 1811, 59739, 109709, 5486, 50021, 106307, 30512, 53283, 76947, 55031, 18, 71493, 9953, 30512, 103188, 105557, 38144, 114732, 19732, 5486, 50021, 106307, 54322, 77062, 226, 15682, 103082, 103470, 109020, 102677, 100909, 38641, 1811, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 20230, 109215, 26854, 102181, 104770, 15682, 5486, 108936, 9554, 102052, 5486, 118006, 114940, 106053, 32938, 20230, 104874, 58942, 59739, 107441, 101182, 13177, 50021, 106307, 54322, 77062, 226, 102782, 43032, 102181, 10646, 9458, 110226, 17701, 104371, 112810, 4728, 35757, 9458, 101307, 50021, 106307, 107707, 109076, 108847, 105037, 226, 22656, 9458, 101307, 50021, 106307, 107707, 101987, 70821, 95544, 21418, 108847, 9458, 102782, 80195, 107707, 109076, 108847, 105037, 226, 22656, 9458, 102782, 80195, 107707, 101987, 70821, 95544, 9458, 103911, 108446, 102769, 46034, 121711, 33541, 1811, 90620, 15024, 5486, 109215, 102181, 104770, 15682, 114940, 106053, 32938, 113468, 108901, 26854, 31431, 33541, 105879, 5486, 102782, 80195, 112772, 114940, 106053, 32938, 16556, 114140, 54926, 104466, 103801, 109954, 9174, 827, 109006, 106307, 50834, 37026, 33014, 15682, 121568, 72661, 114392, 88367, 38641, 198, 109215, 102181, 104770, 30512, 21441, 225, 107800, 33503, 5486, 101307, 50021, 106307, 114754, 109988, 115737, 100472, 39177, 28542, 16144, 101987, 32938, 16144, 36651, 15568, 226, 117282, 118006, 114940, 106053, 32938, 20230, 118664, 78434, 1811, 9039, 111299, 56965, 123090, 114940, 106053, 32938, 55031, 5486, 102782, 80195, 16144, 44915, 88356, 114140, 16144, 17161, 102181, 29295, 109948, 50834, 33541, 105879, 5486, 17161, 102181, 20230, 61304, 107121, 110731, 16995, 47884, 59739, 116421, 105284, 99397, 20230, 113925, 15024, 5486, 113112, 13372, 110408, 104371, 30512, 39926, 114940, 106053, 32938, 20230, 104196, 37705, 78434, 1811, 104196, 37705, 103646, 113925, 44915, 30512, 64121, 38144, 5486, 114940, 106053, 32938, 29295, 109606, 110214, 19732, 122225, 126693, 36896, 50021, 106307, 54322, 77062, 226, 102782, 43032, 101682, 22649, 114397, 10646, 29295, 9039, 111299, 56965, 123090, 31938, 113, 37705, 116216, 50834, 33541, 1811, 71689, 29295, 5486, 50021, 106307, 54322, 77062, 226, 16144, 46034, 106307, 50834, 16144, 89753, 33121, 121711, 33541, 9174, 827, 110758, 106307, 16144, 68759, 25197, 96452, 22398, 31634, 72238, 107407, 110018, 20230, 54322, 77062, 226, 29295, 111800, 118219, 84389, 33541, 198, 115514, 106518, 50021, 106307, 16144, 54322, 77062, 226, 30512, 121507, 107001, 24273, 16144, 114667, 103306, 15682, 127359, 25197, 96452, 117718, 112686, 106518, 29295, 31958, 33503, 111201, 127181, 107803, 71289, 5486, 50021, 106307, 106106, 16995, 104309, 20230, 112959, 50834, 22957, 17129, 103468, 47884, 100604, 102083, 100472, 114667, 29295, 123680, 102639, 102204, 33541, 118855, 5486, 18, 71493, 9953, 23897, 32943, 20230, 50021, 106307, 54322, 77062, 226, 123410, 32149, 104405, 32149, 104662, 62004, 102204, 100604, 115612, 16144, 115517, 107407, 107803, 102052, 5486, 118006, 114940, 106053, 32938, 20230, 13177, 50021, 106307, 54322, 77062, 226, 16144, 124122, 102782, 43032, 117232, 109337, 101544, 118587, 102782, 109311, 54926, 100909, 113468, 5486, 109337, 101544, 29295, 104736, 62004, 110071, 107803, 32977, 57903, 33541, 1811, 128001, 128000, 22656, 17792, 102052, 107943, 59739, 123731, 29295, 103470, 111243, 5486, 41642, 116310, 126328, 13177, 71174, 119707, 76622, 20230, 47884, 16995, 59712, 101513, 115389, 29295, 109161, 16995, 104865, 26854, 91006, 106046, 78183, 106824, 114732, 17792, 76947, 61689, 123794, 1811, 53901, 99750, 114792, 28713, 104028, 17792, 19732, 5486, 109161, 16995, 104371, 47523, 30512, 58318, 107290, 114732, 17792, 1811, 16995, 100472, 16995, 99849, 29295, 108010, 30297, 105879, 109954, 32149, 95532, 104371, 47523, 48634, 122060, 20251, 44971, 109793, 115247, 119283, 31106, 120, 106150, 103633, 45829, 117940, 36896, 31958, 105184, 26854, 114667, 119703, 16144, 101983, 112371, 32149, 115389, 126832, 17792, 5486, 120007, 20230, 16937, 102395, 99750, 30512, 58318, 107290, 114732, 17792, 20230, 55999, 33035, 54926, 112973, 124620, 105321, 19732, 103470, 112391, 29295, 109161, 16995, 36761, 102677, 100909, 10646, 118816, 122984, 78434, 9174, 110924, 16556, 111476, 105321, 19732, 103470, 112391, 16144, 109161, 16995, 114754, 5486, 43568, 37689, 109375, 16556, 71289, 103836, 6269, 108710, 101557, 96, 30512, 123680, 102639, 100481, 90620, 50834, 79721, 118844, 55031, 48154, 126362, 54926, 60596, 59739, 20230, 40265, 38144, 15682, 115464, 105908, 101182, 26854, 19732, 112391, 28713, 24273, 15682, 106116, 108710, 101557, 96, 104088, 74245, 39926, 5486, 17792, 20230, 58318, 105262, 104371, 47523, 30512, 57326, 112718, 20230, 104721, 58942, 100481, 50834, 17129, 109954, 9174, 567, 4996, 43002, 47523, 16144, 114652, 100604, 114754, 108064, 16144, 56965, 112649, 71289, 103836, 109161, 108710, 101557, 96, 60596, 102647, 198, 14711, 50550, 20713, 111708, 99849, 30512, 113727, 100934, 124233, 124403, 10646, 112741, 30512, 103792, 198, 105994, 29295, 103572, 38574, 5486, 67645, 120950, 112741, 30512, 103792, 32149, 37689, 109375, 127145, 32149, 95532, 13177, 115389, 123671, 29295, 43514, 26854, 116537, 5486, 105994, 15682, 110219, 16144, 112741, 30512, 109768, 104533, 91763, 76947, 102532, 32977, 5486, 41642, 31431, 55031, 91774, 104533, 43568, 112741, 101983, 103836, 105908, 57903, 108048, 20230, 95221, 109669, 16995, 100481, 107515, 1811, 20834, 38093, 117714, 112661, 56965, 32977, 5486, 87177, 30512, 104655, 119188, 110018, 32977, 116898, 85791, 103171, 75267, 28190, 16556, 863, 105321, 107173, 91763, 123671, 126386, 108995, 863, 102677, 112741, 29295, 5486, 41642, 31431, 126328, 112391, 29295, 109161, 47884, 91774, 125398, 16144, 38641, 66383, 5486, 119283, 31106, 120, 98369, 9174, 43568, 112741, 117084, 114732, 5486, 125641, 29295, 112741, 117158, 38144, 22957, 100604, 114667, 15682, 110745, 50834, 47884, 25963, 59739, 101182, 102131, 38641, 9174, 115303, 59739, 30832, 15682, 5486, 125641, 30512, 121406, 19732, 109161, 16995, 105908, 72718, 50834, 30369, 16144, 111769, 32149, 5486, 41642, 31431, 55031, 104405, 91763, 126832, 108995, 19732, 95221, 20230, 15024, 103188, 105557, 38144, 114732, 55031, 124845, 105104, 28713, 59739, 30832, 29295, 5486, 125641, 15682, 103851, 58942, 62004, 117657, 125231, 5486, 30832, 80195, 76947, 112987, 124324, 119150, 114754, 127181, 55031, 36785, 102083, 61689, 9174, 13177, 102433, 17792, 66378, 19361, 26854, 104865, 121061, 16144, 119627, 5486, 103851, 58942, 62004, 29295, 58666, 102800, 106046, 16995, 104526, 126559, 24273, 29295, 43240, 47884, 16995, 33503, 42891, 116826, 61689, 122262, 15024, 19732, 71289, 107188, 109335, 58666, 106624, 15682, 57903, 33541, 29295, 5486, 125641, 16144, 21405, 102321, 29295, 116213, 16995, 105879, 44620, 99849, 30512, 113727, 100934, 124233, 124403, 36761, 106046, 78183, 106824, 103801, 61689, 1811, 44620, 51330, 17792, 19732, 87177, 39926, 102532, 105465, 102800, 26854, 36761, 102083, 100472, 53901, 104371, 47523, 30512, 5486, 120007, 20230, 58318, 105262, 109335, 103082, 107515, 116326, 119283, 31106, 120, 98369, 23954, 58426, 103846, 5486, 112741, 19732, 96356, 123927, 46034, 123927, 30512, 21601, 107290, 5486, 105465, 102800, 105110, 105465, 102800, 5486, 109834, 103868, 114792, 76947, 104655, 102532, 61689, 57980, 5486, 102677, 16144, 30512, 78183, 107277, 126172, 47884, 108044, 105262, 105908, 27384, 102769, 108176, 102083, 61689, 9174, 13177, 105465, 102800, 5486, 30297, 33121, 102800, 102083, 100472, 57326, 112718, 16144, 125641, 15682, 112832, 105352, 109440, 115461, 119707, 124324, 105879, 5486, 114284, 121381, 31431, 21405, 102321, 39926, 64121, 38144, 72315, 1811, 101557, 96, 33121, 126386, 17792, 118816, 5486, 119869, 15682, 105557, 22957, 43514, 123733, 100472, 31431, 5486, 120007, 16144, 105791, 39135, 30512, 17885, 118, 100472, 31431, 39926, 5486, 119467, 47884, 112391, 38144, 114732, 32149, 110241, 33121, 107515, 1811, 67016, 21105, 251, 22957, 16556, 5486, 120007, 16144, 105791, 39135, 30512, 98499, 104127, 55031, 71289, 103950, 1981, 104309, 107118, 21105, 103, 117201, 72315, 1811, 117232, 119379, 16556, 57980, 16995, 105879, 5486, 114284, 121381, 31431, 125641, 104088, 72342, 17129, 109954, 1811, 120007, 55031, 99849, 123772, 120577, 95543, 106608, 29295, 30591, 104984, 5486, 105994, 29295, 104721, 33208, 103792, 102677, 100909, 38641, 116326, 119283, 31106, 120, 98369, 23954, 27384, 87743, 230, 70892, 253, 26854, 104699, 110706, 16144, 112741, 16556, 5486, 31958, 30369, 16995, 125641, 30512, 21405, 102321, 39926, 64121, 17129, 109954, 9174, 14711, 50550, 25963, 5232, 33334, 107591, 16144, 112690, 30512, 13177, 103851, 58942, 62004, 20230, 10646, 108044, 58942, 100934, 198, 57326, 102803, 102832, 84477, 72661, 91482, 76428, 102750, 22398, 57207, 107060, 72661, 5486, 13647, 230, 31431, 53953, 30512, 16995, 90620, 47884, 101513, 38093, 115991, 33541, 123794, 113637, 75267, 28190, 113245, 57980, 85791, 106624, 100604, 108710, 101557, 96, 15682, 5486, 72342, 42891, 32149, 47884, 112197, 107591, 16144, 112690, 30512, 13177, 103851, 58942, 62004, 20230, 10646, 108044, 107290, 114732, 100909, 9174, 103851, 58942, 62004, 117084, 114732, 104468, 5486, 17792, 19732, 112361, 104466, 39926, 33334, 76622, 81219, 43568, 111108, 109860, 5486, 30297, 33121, 102800, 123682, 104612, 122131, 16144, 106548, 24273, 29295, 78183, 124403, 110745, 17792, 103306, 33334, 107591, 32977, 68759, 118567, 33035, 112586, 109134, 125231, 1981, 104309, 19732, 78698, 107290, 114732, 105908, 101182, 55031, 118816, 119283, 31106, 120, 117940, 78244, 61689, 1811, 67016, 21105, 232, 107591, 16144, 863, 108044, 58942, 24273, 863, 30512, 114715, 104721, 105262, 121142, 5486, 112361, 112690, 72661, 5486, 120007, 111363, 104371, 47523, 15682, 102472, 32131, 37823, 19732, 104721, 116547, 33541, 9174, 119283, 31106, 120, 117940, 13177, 44620, 97135, 61689, 36761, 19732, 96311, 120, 102800, 105791, 16556, 117952, 106824, 32977, 124620, 30591, 33121, 11571, 113170, 109709, 127879, 76947, 100604, 104865, 26854, 11571, 36761, 19732, 5486, 120007, 20230, 89783, 82420, 26854, 68759, 25197, 96452, 22398, 125641, 30512, 108623, 32149, 127397, 114732, 125396, 115991, 33541, 1811, 13647, 230, 100472, 80195, 75267, 55031, 112990, 5486, 67645, 33121, 103378, 104940, 104127, 122396, 104865, 30512, 53283, 31431, 106956, 16144, 38641, 66383, 64467, 112419, 15024, 5486, 57980, 16995, 104371, 47523, 30512, 58318, 105262, 102052, 5486, 1049, 113127, 16144, 112741, 16556, 108948, 107591, 16144, 120208, 30512, 108044, 105262, 105908, 120098, 108176, 102083, 61689, 9174, 13647, 230, 31431, 53953, 114475, 76622, 18655, 100472, 112661, 122756, 5486, 114284, 50834, 111331, 49838, 105791, 71289, 5486, 102802, 121710, 31431, 56051, 112741, 104088, 127397, 110745, 50834, 47884, 95543, 106608, 30512, 103801, 109954, 9174, 53900, 5486, 98915, 104067, 71289, 122013, 102052, 30297, 33121, 102800, 125641, 30512, 20834, 72342, 111243, 5486, 18655, 73686, 61826, 71289, 17905, 65743, 55031, 127091, 30512, 120837, 33503, 100472, 104983, 102052, 5486, 21388, 107591, 101983, 110104, 104466, 95221, 117657, 30591, 109709, 5486, 107328, 27479, 30512, 104721, 107290, 114732, 17792, 32977, 127181, 102131, 38641, 9174, 13177, 80195, 75267, 29295, 108010, 100472, 103306, 32977, 5486, 125641, 15682, 78183, 107277, 126172, 47884, 108044, 107290, 72315, 123405, 112568, 16144, 44620, 30297, 33121, 102800, 36761, 102677, 101067, 16995, 30512, 108044, 58942, 109115, 33503, 5486, 120007, 15682, 33541, 33541, 30591, 112568, 30512, 120111, 108176, 123253, 116326, 119283, 31106, 120, 98369, 23954, 103851, 58942, 62004, 20230, 108044, 105262, 16144, 126194, 5486, 104940, 102802, 71289, 30297, 33121, 21105, 243, 30512, 119448, 47884, 21405, 102321, 39926, 5486, 120007, 110792, 124349, 30512, 123332, 62004, 106956, 125651, 9174, 14711, 50550, 34617, 5232, 102717, 62004, 109115, 110018, 20230, 13177, 50021, 112909, 107750, 103836, 111329, 17792, 55031, 102717, 62004, 109115, 110018, 20230, 108149, 112568, 15682, 72238, 74245, 20230, 104940, 103854, 33541, 32149, 11571, 13177, 33334, 101083, 121355, 16556, 124304, 59712, 127091, 118124, 107407, 20230, 121953, 100604, 66383, 5486, 50021, 112909, 107750, 76947, 114732, 24273, 32977, 107991, 123253, 9174, 80673, 120007, 16144, 22656, 64209, 30512, 104284, 124475, 84851, 108867, 39926, 5486, 107750, 76947, 5486, 104284, 124475, 120175, 104526, 104004, 14382, 85701, 15682, 56965, 121953, 103470, 5486, 112741, 117158, 38144, 103801, 103836, 102083, 61689, 9174, 13177, 58426, 114754, 102131, 78244, 103836, 105272, 55031, 121906, 113461, 1811, 19732, 72238, 74245, 20230, 101682, 76622, 18655, 104984, 104712, 16144, 38641, 1811, 105994, 29295, 67645, 33121, 103378, 104940, 103854, 30369, 32149, 5486, 104712, 95221, 17620, 16556, 103188, 48154, 122101, 32149, 29295, 27384, 30926, 1811, 105465, 102800, 102677, 125641, 16144, 111017 ]
[ 40862, 29295, 43240, 115737, 104984, 5486, 64209, 55031, 119883, 47884, 17792, 101983, 107462, 50834, 33541, 1811, 105791, 105352, 20834, 30369, 15024, 5486, 120007, 20230, 33655, 30297, 112690, 32977, 124500, 30369, 105879, 5486, 53901, 32149, 104028, 17792, 101983, 107462, 47884, 123253, 116326, 119283, 31106, 120, 98369, 123505, 53900, 117876, 16144, 75267, 28190, 72661, 5486, 37026, 22023, 114792, 76947, 25580, 70141, 50834, 20230, 101682, 76622, 18655, 30369, 105908, 27384, 102769, 101983, 104533, 16144, 100909, 1811, 17905, 65743, 71289, 18655, 73686, 61826, 55031, 117876, 30512, 103963, 117943, 103646, 110018, 102052, 5486, 114225, 20230, 13177, 49988, 127397, 72315, 66383, 37026, 22023, 114792, 76947, 78244, 107290, 61689, 32149, 95532, 110901, 112568, 20230, 117943, 126559, 102677, 109335, 106116, 39177, 28542, 16556, 1041, 28542, 105321, 38641, 1811, 112832, 32149, 19732, 57106, 103854, 30369, 109215, 15682, 124897, 1811, 105994, 107809, 16556, 4364, 113127, 71289, 104984, 104712, 16144, 38641, 1811, 37026, 22023, 119703, 107328, 27479, 15682, 5486, 50021, 112909, 127408, 20230, 107726, 33541, 1811, 103963, 117943, 114475, 107674, 33503, 114225, 20230, 44620, 86127, 20230, 117943, 104127, 108112, 30813, 76947, 97135, 61689, 6447, 105228, 48634, 16556, 108167, 103214, 64121, 33541, 36761, 104309, 19732, 5486, 49838, 105791, 16556, 103899, 107290, 64121, 17129, 109954, 116326, 119283, 31106, 120, 98369, 23954, 102717, 62004, 109115, 110018, 5486, 117943, 17129, 103468, 110018, 102052, 5486, 72238, 74245, 20230, 101682, 76622, 17701, 104028, 104466, 56051, 16995, 125651, 9174, 14711, 50550, 46702, 5232, 120007, 20230, 114146, 38144, 13177, 120111, 115389, 16995, 118587, 117952, 100604, 198, 125764, 106956, 102944, 30512, 104655, 32149, 103468, 110018, 36896, 99849, 72661, 104712, 57980, 66383, 120007, 20230, 114146, 38144, 114604, 109335, 124897, 32149, 95532, 120007, 20230, 114146, 123207, 1981, 19732, 113727, 100934, 116537, 5486, 115364, 120111, 115389, 114774, 5486, 50928, 37689, 115820, 37689, 30512, 108044, 105262, 106592, 111108, 106624, 78698, 107290, 103801, 16995, 29295, 43514, 66327, 85701, 30512, 107202, 46034, 19732, 115791, 33503, 5486, 41642, 112586, 104405, 91763, 126832, 120900, 66383, 16995, 100472, 127298, 29295, 122502, 47884, 102131, 38641, 9174, 27452, 116285, 99849, 17792, 32149, 16556, 44971, 71634, 93488, 30512, 104662, 62004, 104533, 50834, 36896, 30591, 27929, 51330, 76739, 91482, 119279, 16995, 102800, 57207, 112694, 65575, 20230, 21105, 103, 16995, 91006, 19732, 29172, 81742, 116216, 5486, 23, 111017, 16144, 114754, 83812, 249, 13153, 36785, 114267, 33503, 5486, 64209, 107809, 77181, 13177, 30297, 78183, 38248, 115, 112694, 65575, 32149, 1811, 76739, 91482, 15682, 107202, 46034, 113461, 57980, 26854, 59712, 118116, 44971, 71634, 93488, 15682, 47307, 66953, 47260, 26274, 255, 47884, 38144, 115389, 113461, 123794, 66383, 91763, 114598, 106116, 75267, 16144, 25132, 108, 116310, 95221, 16556, 13177, 104712, 57980, 66383, 89753, 116216, 114732, 17792, 32977, 43240, 117201, 109954, 9174, 80673, 120007, 20230, 114146, 38144, 114732, 19732, 5486, 17, 18904, 30832, 23897, 104989, 32977, 112361, 37046, 110020, 30512, 39926, 114732, 102083, 61689, 9174, 119283, 31106, 120, 117940, 114709, 110020, 123410, 102677, 109335, 5486, 102971, 91077, 95221, 17620, 29295, 109161, 16995, 113334, 26854, 105879, 5486, 112741, 32977, 27552, 229, 31431, 5486, 105994, 29295, 115389, 126832, 25580, 29172, 116825, 47884, 76947, 103801, 61689, 1811, 116414, 116421, 105567, 45829, 16556, 76739, 91482, 29295, 107202, 46034, 26854, 105908, 78183, 102518, 110018, 102052, 5486, 41642, 112586, 102334, 116537, 44620, 119869, 55031, 119852, 57980, 36761, 44620, 43568, 22649, 39926, 114308, 40862, 76947, 120700, 101732, 104865, 26854, 36761, 106046, 76947, 114732, 103846, 5486, 112391, 29295, 109161, 16995, 38641, 123794, 1811, 107202, 46034, 26854, 109335, 58426, 75267, 16556, 115791, 24273, 29295, 5486, 120007, 20230, 109440, 110027, 103470, 38144, 111587, 104004, 105879, 5486, 116900, 20230, 53901, 32149, 33121, 33541, 66383, 122984, 78434, 9174, 110241, 44971, 71634, 93488, 30512, 29172, 81742, 103646, 110018, 20230, 13177, 76739, 91482, 15682, 107202, 46034, 125743, 108048, 116749, 16144, 39850, 78683, 109496, 32977, 101182, 55031, 27384, 121313, 120572, 66383, 108044, 58942, 101732, 19732, 126693, 5486, 28713, 19732, 58942, 57207, 112694, 65575, 20230, 104662, 117864, 103306, 32977, 5486, 33671, 18904, 15682, 13177, 109298, 109298, 108056, 15682, 76739, 91482, 107202, 46034, 109860, 5486, 57207, 112694, 65575, 116749, 20230, 119607, 32149, 66383, 95604, 112169, 108176, 123253, 9174, 13177, 53901, 112495, 102944, 5486, 107202, 46034, 26854, 106592, 103572, 38574, 55031, 77693, 19732, 103470, 108044, 107290, 33334, 126145, 5486, 41642, 111331, 17792, 20230, 95221, 30512, 124955, 110027, 30369, 115789, 114485, 117063, 33541, 15024, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 15682, 105755, 35757, 113764, 115717, 33541, 1811, 27452, 116285, 107430, 75267, 16556, 115320, 64121, 38093, 16144, 116245, 30512, 104662, 62004, 104533, 50834, 5486, 111681, 101544, 15682, 102494, 103223, 29295, 107202, 46034, 5486, 115412, 115412, 117940, 76739, 91482, 29295, 115389, 16995, 14382, 19732, 78183, 32149, 107462, 104984, 5486, 64121, 103171, 120208, 104712, 110229, 30512, 102647, 103854, 30369, 15024, 5486, 103856, 47884, 104662, 115464, 123253, 116326, 119283, 31106, 120, 98369, 23954, 75267, 16144, 25132, 108, 116310, 95221, 30512, 109161, 47884, 56051, 47884, 100604, 5486, 111179, 105898, 47884, 100604, 102677, 114667, 16556, 120007, 20230, 114146, 30369, 109335, 71289, 107436, 5486, 115364, 53901, 64121, 30512, 108044, 105262, 104466, 103801, 109954, 9174, 14711, 50550, 44597, 5232, 87177, 17663, 110018, 20230, 120007, 55031, 13177, 124349, 30512, 19732, 103836, 111329, 17792, 19732, 87177, 123410, 110018, 5486, 17792, 55031, 71174, 119707, 76622, 109115, 110018, 108149, 112568, 15682, 67645, 120950, 107328, 27479, 30512, 18655, 76947, 61689, 32149, 95532, 120007, 19732, 124349, 30512, 18655, 30369, 6269, 23039, 101399, 29295, 5486, 102780, 71289, 117395, 30512, 103214, 104004, 5486, 120094, 121240, 105068, 20230, 105104, 25827, 108422, 31431, 104196, 30369, 5486, 118013, 87177, 30512, 109768, 104533, 50834, 20230, 17905, 103268, 96356, 29295, 74482, 85791, 20230, 17297, 29295, 30369, 100909, 36785, 102083, 61689, 66327, 108895, 16995, 100472, 107328, 27479, 15682, 71289, 103836, 22656, 116537, 106116, 37689, 109375, 29295, 103470, 111243, 5486, 120007, 15682, 105994, 29295, 117355, 103984, 110731, 105933, 95221, 17620, 115717, 5486, 87177, 15024, 20230, 47884, 47884, 109020, 66383, 5486, 119283, 31106, 120, 98369, 9174, 53900, 27384, 30926, 26854, 87177, 30512, 103792, 110115, 5486, 80805, 102741, 109713, 16144, 55723, 28190, 104088, 38144, 5486, 62903, 125024, 65575, 16144, 76537, 43514, 106272, 104655, 119188, 17792, 32977, 61689, 123794, 9174, 13177, 103350, 104983, 20230, 105693, 87177, 16556, 5486, 17905, 65743, 29295, 101198, 117718, 14558, 16556, 87177, 30512, 15024, 20230, 105898, 110018, 20230, 5486, 34048, 17297, 29295, 80805, 102741, 109713, 16144, 55723, 28190, 20230, 33014, 30512, 70141, 107674, 110674, 5486, 105791, 103378, 17905, 65743, 30512, 70141, 107441, 44620, 112987, 5486, 112987, 36761, 19732, 87177, 30512, 104655, 102532, 103801, 16995, 5486, 89783, 82420, 20230, 113799, 31431, 30512, 107691, 76947, 114604, 105908, 57903, 79721, 1811, 110382, 16556, 17905, 65743, 120332, 20230, 64209, 26274, 241, 30512, 70141, 105784, 104466, 111006, 30512, 70141, 107441, 33334, 76622, 81219, 36896, 104655, 119188, 66383, 95604, 110783, 110095, 102052, 26854, 103468, 16144, 38641, 66383, 64467, 112419, 78434, 9174, 64209, 26274, 241, 30512, 120007, 121254, 105784, 110783, 110095, 15682, 36896, 30591, 112568, 20230, 64209, 30512, 110008, 127145, 66383, 95604, 21405, 102321, 115717, 5486, 112391, 16144, 57980, 16995, 110783, 110095, 101983, 104533, 16144, 100909, 9174, 127173, 103468, 110018, 102052, 5486, 105791, 121142, 123927, 104196, 30369, 16144, 126194, 5486, 64209, 26274, 241, 30512, 120007, 121254, 105784, 5486, 64209, 26274, 241, 30512, 120007, 20230, 60358, 109669, 105784, 104466, 25580, 101427, 122, 110783, 110095, 30512, 18655, 30369, 104466, 103801, 109954, 9174, 14711, 50550, 60596, 5232, 103892, 30512, 117355, 47884, 17297, 102639, 38144, 33334, 50520, 104, 102802, 30512, 103792, 198, 91482, 76428, 102750, 22398, 57207, 107060, 77181, 108948, 121355, 118273, 123410, 115789, 127181, 38641, 123794, 119520, 103892, 103378, 99695, 47260, 26269, 19732, 17297, 102639, 30369, 17792, 71289, 117119, 27479, 32977, 99695, 47260, 99695, 47260, 17297, 102639, 30369, 116537, 5486, 117355, 16995, 104371, 47523, 114475, 76622, 5486, 64209, 29295, 22957, 32977, 107462, 100604, 19732, 112391, 124195, 114732, 102131, 38641, 9174, 66378, 107898, 50520, 104, 102802, 16144, 75267, 15682, 5486, 117355, 47884, 103892, 30512, 30813, 102639, 30369, 103378, 77181, 5486, 124097, 37689, 29295, 117864, 47884, 108044, 78183, 110104, 110792, 100909, 9174, 13177, 113799, 107462, 104533, 50834, 15682, 5486, 120007, 20230, 125641, 30512, 104369, 59739, 107441, 61689, 1811, 125641, 114475, 76622, 18655, 76947, 102717, 102800, 102677, 114284, 107407, 105879, 124620, 78183, 32149, 114598, 33503, 107800, 36761, 19732, 112624, 102780, 107726, 100604, 19732, 5486, 120007, 16144, 113799, 31431, 15682, 110226, 109709, 107515, 1811, 103892, 30512, 17297, 102639, 30369, 82973, 29295, 106649, 16995, 19732, 5486, 109431, 40265, 20230, 30591, 15024, 33503, 125167, 106046, 123671, 5486, 89783, 82420, 20230, 113799, 76947, 114732, 16144, 38641, 66383, 5486, 119283, 31106, 120, 117940, 122984, 78434, 9174, 113799, 31431, 30512, 113954, 121256, 102677, 106592, 5486, 101682, 76622, 82533, 109315, 107328, 27479, 16556, 20379, 84389, 123207, 105110, 100604, 102083, 61689, 9174, 13177, 110993, 79982, 26854, 87177, 124620, 102782, 15024, 117735, 57903, 105823, 104127, 56051, 36761, 19732, 966, 47018, 104699, 110706, 103892, 30512, 17297, 102639, 106307, 76622, 109115, 33503, 5486, 107707, 64209, 15682, 122026, 107441, 50834, 33541, 1811, 117032, 15682, 18, 47018, 104699, 110706, 112197, 121355, 118273, 119627, 5486, 120007, 16144, 113799, 111331, 27479, 40862, 16995, 29295, 104195, 16995, 110018, 102052, 5486, 44597, 56040, 66224, 47018, 104699, 110706, 5486, 101544, 62004, 20230, 103892, 30512, 30813, 102639, 30369, 112973, 33334, 125683, 62004, 38641, 1811, 57207, 107060, 117282, 104699, 110706, 103892, 30512, 17297, 102639, 106307, 76622, 102204, 104533, 5486, 120007, 16144, 113799, 31431, 15682, 120299, 104127, 16995, 47884, 123253, 116326, 119283, 31106, 120, 98369, 23954, 53900, 27384, 112495, 33122, 111813, 29295, 19653, 15024, 5486, 99750, 118835, 16144, 120208, 30512, 120007, 20230, 108044, 58942, 106956, 110018, 105352, 5486, 101544, 62004, 20230, 103892, 30512, 17297, 102639, 30369, 105908, 8239, 114503, 9554, 110792, 100909, 66327, 44620, 97135, 16995, 79721, 36761, 19732, 120267, 5486, 103892, 30512, 17297, 102639, 100934, 82973, 30512, 101544, 47884, 54926, 118733, 5486, 99750, 118835, 16144, 120208, 29295, 105755, 120007, 20230, 108044, 116547, 33541, 66383, 5486, 119283, 31106, 120, 98369, 9174, 105994, 29295, 91763, 103836, 126036, 5486, 114715, 101544, 62004, 107898, 121355, 118273, 123410, 104466, 103801, 109954, 9174, 5736, 114626, 20230, 119283, 31106, 120, 98369, 126328, 13177, 105994, 30512, 104721, 58942, 106956, 105110, 123334, 31431, 120195, 107188, 119150, 120264, 5486, 123927, 102769, 76947, 71289, 31431, 17129, 109954, 1811, 105994, 29295, 124500, 76947, 5486, 50021, 112909, 104721, 107800, 102677, 103350, 99750, 30512, 50928, 38144, 72315, 66383, 39880, 45923, 66953, 112900, 16995, 90620, 50834, 79721, 9174, 95221, 109669, 32149, 101860, 20230, 5486, 105321, 19732, 103470, 115389, 123671, 29295, 43514, 26854, 108710, 101557, 96, 30512, 64889, 43514, 125174, 5486, 38093, 100472, 112661, 122756, 53901, 104371, 47523, 30512, 58318, 105262, 111482, 115717, 17129, 109954, 9174, 44620, 35894, 95221, 30512, 98499, 126843, 20230, 15, 13, 16, 47018, 16556, 53901, 32149, 104028, 41007, 1811, 36761, 119283, 31106, 120, 106150, 103633, 45829, 9458, 102700, 123318, 9080, 116491, 109898, 107680, 198, 14711, 106369, 125683, 62004, 77219, 198, 12, 16139, 220, 29411, 12, 42770, 1245, 33328, 104817, 43167, 34048, 198, 12, 25321, 964, 1753, 31472, 128001, 128000, 41007, 29295, 17620, 55031, 104435, 103846, 26854, 107188, 32149, 109823, 103082, 101860, 90578, 111134, 68408, 38248, 115, 78205, 113883, 109823, 29295, 126120, 102334, 106046, 100472, 33503, 5486, 115240, 29295, 52563, 84389, 104435, 31431, 198, 115240, 16144, 109823, 29295, 126120, 102334, 33503, 5486, 111134, 68408, 38248, 115, 78205, 16073, 29295, 52563, 84389, 104435, 31431, 90578, 102677, 113334, 16556, 109095, 108710, 109904, 115552, 32977, 22957, 107436, 6884, 107420, 80805, 103906, 109853, 123011, 107436, 64121, 79721, 9174, 111134, 68408, 38248, 115, 78205, 16073, 19732, 115240, 30512, 115963, 20230, 52563, 124545, 41007, 15682, 17297, 120332, 16556, 126362, 78434, 9174, 32977, 47884, 100204, 198, 567, 4092, 107420, 80805, 103906, 109853, 198, 6884, 16556, 66870, 105838, 33208, 54926, 110018, 20230, 5486, 123011, 107436, 109823, 108608, 80356, 29295, 88852, 38641, 9174, 12, 4092, 4696, 112603, 16144, 66870, 105838, 33208, 198, 12, 4092, 8048, 4696, 124858, 39135, 198, 12, 4092, 14064, 4696, 124858, 115240, 198, 12, 4092, 34843, 4696, 103721, 108, 31431, 104196, 15024, 41007, 198, 12, 4092, 34624, 4696, 124858, 115240, 16144, 82912, 198, 12, 4092, 12, 22751, 4696, 124858, 115240, 16144, 22398, 110305, 64178, 41007, 198, 14711, 86758, 27452, 198, 827, 4092, 8048, 198, 124858, 39135, 30512, 109823, 125545, 9174, 827, 4092, 14064, 198, 124858, 20230, 115240, 30512, 109823, 125545, 9174, 827, 4092, 34843, 198, 124858, 115240, 16144, 103721, 108, 31431, 104196, 15024, 41007, 30512, 109823, 125545, 1811, 124858, 115240, 30512, 109823, 103792, 107803, 20230, 33655, 61689, 9174, 68408, 108526, 108958, 15682, 198, 31724, 38641, 9174, 110904, 20230, 103721, 108, 31431, 104196, 17663, 102083, 114598, 5486, 109203, 112169, 71289, 102057, 99, 112169, 20230, 116771, 103721, 108, 31431, 104196, 124545, 115789, 125545, 9174, 6884, 34843, 25, 912, 34843, 26, 443, 103721, 108, 31431, 104196, 30813, 100604, 198, 6884, 34843, 25, 13454, 26, 443, 103721, 108, 31431, 104196, 17663, 198, 6884, 34843, 25, 13454, 6695, 26, 443, 109203, 112169, 20230, 103721, 108, 31431, 104196, 17663, 198, 6884, 34843, 25, 13454, 12303, 26, 443, 102057, 99, 112169, 20230, 103721, 108, 31431, 104196, 17663, 198, 827, 4092, 34624, 198, 124858, 115240 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40862, 29295, 43240, 115737, 104984, 5486, 64209, 55031, 119883, 47884, 17792, 101983, 107462, 50834, 33541, 1811, 105791, 105352, 20834, 30369, 15024, 5486, 120007, 20230, 33655, 30297, 112690, 32977, 124500, 30369, 105879, 5486, 53901, 32149, 104028, 17792, 101983, 107462, 47884, 123253, 116326, 119283, 31106, 120, 98369, 123505, 53900, 117876, 16144, 75267, 28190, 72661, 5486, 37026, 22023, 114792, 76947, 25580, 70141, 50834, 20230, 101682, 76622, 18655, 30369, 105908, 27384, 102769, 101983, 104533, 16144, 100909, 1811, 17905, 65743, 71289, 18655, 73686, 61826, 55031, 117876, 30512, 103963, 117943, 103646, 110018, 102052, 5486, 114225, 20230, 13177, 49988, 127397, 72315, 66383, 37026, 22023, 114792, 76947, 78244, 107290, 61689, 32149, 95532, 110901, 112568, 20230, 117943, 126559, 102677, 109335, 106116, 39177, 28542, 16556, 1041, 28542, 105321, 38641, 1811, 112832, 32149, 19732, 57106, 103854, 30369, 109215, 15682, 124897, 1811, 105994, 107809, 16556, 4364, 113127, 71289, 104984, 104712, 16144, 38641, 1811, 37026, 22023, 119703, 107328, 27479, 15682, 5486, 50021, 112909, 127408, 20230, 107726, 33541, 1811, 103963, 117943, 114475, 107674, 33503, 114225, 20230, 44620, 86127, 20230, 117943, 104127, 108112, 30813, 76947, 97135, 61689, 6447, 105228, 48634, 16556, 108167, 103214, 64121, 33541, 36761, 104309, 19732, 5486, 49838, 105791, 16556, 103899, 107290, 64121, 17129, 109954, 116326, 119283, 31106, 120, 98369, 23954, 102717, 62004, 109115, 110018, 5486, 117943, 17129, 103468, 110018, 102052, 5486, 72238, 74245, 20230, 101682, 76622, 17701, 104028, 104466, 56051, 16995, 125651, 9174, 14711, 50550, 46702, 5232, 120007, 20230, 114146, 38144, 13177, 120111, 115389, 16995, 118587, 117952, 100604, 198, 125764, 106956, 102944, 30512, 104655, 32149, 103468, 110018, 36896, 99849, 72661, 104712, 57980, 66383, 120007, 20230, 114146, 38144, 114604, 109335, 124897, 32149, 95532, 120007, 20230, 114146, 123207, 1981, 19732, 113727, 100934, 116537, 5486, 115364, 120111, 115389, 114774, 5486, 50928, 37689, 115820, 37689, 30512, 108044, 105262, 106592, 111108, 106624, 78698, 107290, 103801, 16995, 29295, 43514, 66327, 85701, 30512, 107202, 46034, 19732, 115791, 33503, 5486, 41642, 112586, 104405, 91763, 126832, 120900, 66383, 16995, 100472, 127298, 29295, 122502, 47884, 102131, 38641, 9174, 27452, 116285, 99849, 17792, 32149, 16556, 44971, 71634, 93488, 30512, 104662, 62004, 104533, 50834, 36896, 30591, 27929, 51330, 76739, 91482, 119279, 16995, 102800, 57207, 112694, 65575, 20230, 21105, 103, 16995, 91006, 19732, 29172, 81742, 116216, 5486, 23, 111017, 16144, 114754, 83812, 249, 13153, 36785, 114267, 33503, 5486, 64209, 107809, 77181, 13177, 30297, 78183, 38248, 115, 112694, 65575, 32149, 1811, 76739, 91482, 15682, 107202, 46034, 113461, 57980, 26854, 59712, 118116, 44971, 71634, 93488, 15682, 47307, 66953, 47260, 26274, 255, 47884, 38144, 115389, 113461, 123794, 66383, 91763, 114598, 106116, 75267, 16144, 25132, 108, 116310, 95221, 16556, 13177, 104712, 57980, 66383, 89753, 116216, 114732, 17792, 32977, 43240, 117201, 109954, 9174, 80673, 120007, 20230, 114146, 38144, 114732, 19732, 5486, 17, 18904, 30832, 23897, 104989, 32977, 112361, 37046, 110020, 30512, 39926, 114732, 102083, 61689, 9174, 119283, 31106, 120, 117940, 114709, 110020, 123410, 102677, 109335, 5486, 102971, 91077, 95221, 17620, 29295, 109161, 16995, 113334, 26854, 105879, 5486, 112741, 32977, 27552, 229, 31431, 5486, 105994, 29295, 115389, 126832, 25580, 29172, 116825, 47884, 76947, 103801, 61689, 1811, 116414, 116421, 105567, 45829, 16556, 76739, 91482, 29295, 107202, 46034, 26854, 105908, 78183, 102518, 110018, 102052, 5486, 41642, 112586, 102334, 116537, 44620, 119869, 55031, 119852, 57980, 36761, 44620, 43568, 22649, 39926, 114308, 40862, 76947, 120700, 101732, 104865, 26854, 36761, 106046, 76947, 114732, 103846, 5486, 112391, 29295, 109161, 16995, 38641, 123794, 1811, 107202, 46034, 26854, 109335, 58426, 75267, 16556, 115791, 24273, 29295, 5486, 120007, 20230, 109440, 110027, 103470, 38144, 111587, 104004, 105879, 5486, 116900, 20230, 53901, 32149, 33121, 33541, 66383, 122984, 78434, 9174, 110241, 44971, 71634, 93488, 30512, 29172, 81742, 103646, 110018, 20230, 13177, 76739, 91482, 15682, 107202, 46034, 125743, 108048, 116749, 16144, 39850, 78683, 109496, 32977, 101182, 55031, 27384, 121313, 120572, 66383, 108044, 58942, 101732, 19732, 126693, 5486, 28713, 19732, 58942, 57207, 112694, 65575, 20230, 104662, 117864, 103306, 32977, 5486, 33671, 18904, 15682, 13177, 109298, 109298, 108056, 15682, 76739, 91482, 107202, 46034, 109860, 5486, 57207, 112694, 65575, 116749, 20230, 119607, 32149, 66383, 95604, 112169, 108176, 123253, 9174, 13177, 53901, 112495, 102944, 5486, 107202, 46034, 26854, 106592, 103572, 38574, 55031, 77693, 19732, 103470, 108044, 107290, 33334, 126145, 5486, 41642, 111331, 17792, 20230, 95221, 30512, 124955, 110027, 30369, 115789, 114485, 117063, 33541, 15024, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 15682, 105755, 35757, 113764, 115717, 33541, 1811, 27452, 116285, 107430, 75267, 16556, 115320, 64121, 38093, 16144, 116245, 30512, 104662, 62004, 104533, 50834, 5486, 111681, 101544, 15682, 102494, 103223, 29295, 107202, 46034, 5486, 115412, 115412, 117940, 76739, 91482, 29295, 115389, 16995, 14382, 19732, 78183, 32149, 107462, 104984, 5486, 64121, 103171, 120208, 104712, 110229, 30512, 102647, 103854, 30369, 15024, 5486, 103856, 47884, 104662, 115464, 123253, 116326, 119283, 31106, 120, 98369, 23954, 75267, 16144, 25132, 108, 116310, 95221, 30512, 109161, 47884, 56051, 47884, 100604, 5486, 111179, 105898, 47884, 100604, 102677, 114667, 16556, 120007, 20230, 114146, 30369, 109335, 71289, 107436, 5486, 115364, 53901, 64121, 30512, 108044, 105262, 104466, 103801, 109954, 9174, 14711, 50550, 44597, 5232, 87177, 17663, 110018, 20230, 120007, 55031, 13177, 124349, 30512, 19732, 103836, 111329, 17792, 19732, 87177, 123410, 110018, 5486, 17792, 55031, 71174, 119707, 76622, 109115, 110018, 108149, 112568, 15682, 67645, 120950, 107328, 27479, 30512, 18655, 76947, 61689, 32149, 95532, 120007, 19732, 124349, 30512, 18655, 30369, 6269, 23039, 101399, 29295, 5486, 102780, 71289, 117395, 30512, 103214, 104004, 5486, 120094, 121240, 105068, 20230, 105104, 25827, 108422, 31431, 104196, 30369, 5486, 118013, 87177, 30512, 109768, 104533, 50834, 20230, 17905, 103268, 96356, 29295, 74482, 85791, 20230, 17297, 29295, 30369, 100909, 36785, 102083, 61689, 66327, 108895, 16995, 100472, 107328, 27479, 15682, 71289, 103836, 22656, 116537, 106116, 37689, 109375, 29295, 103470, 111243, 5486, 120007, 15682, 105994, 29295, 117355, 103984, 110731, 105933, 95221, 17620, 115717, 5486, 87177, 15024, 20230, 47884, 47884, 109020, 66383, 5486, 119283, 31106, 120, 98369, 9174, 53900, 27384, 30926, 26854, 87177, 30512, 103792, 110115, 5486, 80805, 102741, 109713, 16144, 55723, 28190, 104088, 38144, 5486, 62903, 125024, 65575, 16144, 76537, 43514, 106272, 104655, 119188, 17792, 32977, 61689, 123794, 9174, 13177, 103350, 104983, 20230, 105693, 87177, 16556, 5486, 17905, 65743, 29295, 101198, 117718, 14558, 16556, 87177, 30512, 15024, 20230, 105898, 110018, 20230, 5486, 34048, 17297, 29295, 80805, 102741, 109713, 16144, 55723, 28190, 20230, 33014, 30512, 70141, 107674, 110674, 5486, 105791, 103378, 17905, 65743, 30512, 70141, 107441, 44620, 112987, 5486, 112987, 36761, 19732, 87177, 30512, 104655, 102532, 103801, 16995, 5486, 89783, 82420, 20230, 113799, 31431, 30512, 107691, 76947, 114604, 105908, 57903, 79721, 1811, 110382, 16556, 17905, 65743, 120332, 20230, 64209, 26274, 241, 30512, 70141, 105784, 104466, 111006, 30512, 70141, 107441, 33334, 76622, 81219, 36896, 104655, 119188, 66383, 95604, 110783, 110095, 102052, 26854, 103468, 16144, 38641, 66383, 64467, 112419, 78434, 9174, 64209, 26274, 241, 30512, 120007, 121254, 105784, 110783, 110095, 15682, 36896, 30591, 112568, 20230, 64209, 30512, 110008, 127145, 66383, 95604, 21405, 102321, 115717, 5486, 112391, 16144, 57980, 16995, 110783, 110095, 101983, 104533, 16144, 100909, 9174, 127173, 103468, 110018, 102052, 5486, 105791, 121142, 123927, 104196, 30369, 16144, 126194, 5486, 64209, 26274, 241, 30512, 120007, 121254, 105784, 5486, 64209, 26274, 241, 30512, 120007, 20230, 60358, 109669, 105784, 104466, 25580, 101427, 122, 110783, 110095, 30512, 18655, 30369, 104466, 103801, 109954, 9174, 14711, 50550, 60596, 5232, 103892, 30512, 117355, 47884, 17297, 102639, 38144, 33334, 50520, 104, 102802, 30512, 103792, 198, 91482, 76428, 102750, 22398, 57207, 107060, 77181, 108948, 121355, 118273, 123410, 115789, 127181, 38641, 123794, 119520, 103892, 103378, 99695, 47260, 26269, 19732, 17297, 102639, 30369, 17792, 71289, 117119, 27479, 32977, 99695, 47260, 99695, 47260, 17297, 102639, 30369, 116537, 5486, 117355, 16995, 104371, 47523, 114475, 76622, 5486, 64209, 29295, 22957, 32977, 107462, 100604, 19732, 112391, 124195, 114732, 102131, 38641, 9174, 66378, 107898, 50520, 104, 102802, 16144, 75267, 15682, 5486, 117355, 47884, 103892, 30512, 30813, 102639, 30369, 103378, 77181, 5486, 124097, 37689, 29295, 117864, 47884, 108044, 78183, 110104, 110792, 100909, 9174, 13177, 113799, 107462, 104533, 50834, 15682, 5486, 120007, 20230, 125641, 30512, 104369, 59739, 107441, 61689, 1811, 125641, 114475, 76622, 18655, 76947, 102717, 102800, 102677, 114284, 107407, 105879, 124620, 78183, 32149, 114598, 33503, 107800, 36761, 19732, 112624, 102780, 107726, 100604, 19732, 5486, 120007, 16144, 113799, 31431, 15682, 110226, 109709, 107515, 1811, 103892, 30512, 17297, 102639, 30369, 82973, 29295, 106649, 16995, 19732, 5486, 109431, 40265, 20230, 30591, 15024, 33503, 125167, 106046, 123671, 5486, 89783, 82420, 20230, 113799, 76947, 114732, 16144, 38641, 66383, 5486, 119283, 31106, 120, 117940, 122984, 78434, 9174, 113799, 31431, 30512, 113954, 121256, 102677, 106592, 5486, 101682, 76622, 82533, 109315, 107328, 27479, 16556, 20379, 84389, 123207, 105110, 100604, 102083, 61689, 9174, 13177, 110993, 79982, 26854, 87177, 124620, 102782, 15024, 117735, 57903, 105823, 104127, 56051, 36761, 19732, 966, 47018, 104699, 110706, 103892, 30512, 17297, 102639, 106307, 76622, 109115, 33503, 5486, 107707, 64209, 15682, 122026, 107441, 50834, 33541, 1811, 117032, 15682, 18, 47018, 104699, 110706, 112197, 121355, 118273, 119627, 5486, 120007, 16144, 113799, 111331, 27479, 40862, 16995, 29295, 104195, 16995, 110018, 102052, 5486, 44597, 56040, 66224, 47018, 104699, 110706, 5486, 101544, 62004, 20230, 103892, 30512, 30813, 102639, 30369, 112973, 33334, 125683, 62004, 38641, 1811, 57207, 107060, 117282, 104699, 110706, 103892, 30512, 17297, 102639, 106307, 76622, 102204, 104533, 5486, 120007, 16144, 113799, 31431, 15682, 120299, 104127, 16995, 47884, 123253, 116326, 119283, 31106, 120, 98369, 23954, 53900, 27384, 112495, 33122, 111813, 29295, 19653, 15024, 5486, 99750, 118835, 16144, 120208, 30512, 120007, 20230, 108044, 58942, 106956, 110018, 105352, 5486, 101544, 62004, 20230, 103892, 30512, 17297, 102639, 30369, 105908, 8239, 114503, 9554, 110792, 100909, 66327, 44620, 97135, 16995, 79721, 36761, 19732, 120267, 5486, 103892, 30512, 17297, 102639, 100934, 82973, 30512, 101544, 47884, 54926, 118733, 5486, 99750, 118835, 16144, 120208, 29295, 105755, 120007, 20230, 108044, 116547, 33541, 66383, 5486, 119283, 31106, 120, 98369, 9174, 105994, 29295, 91763, 103836, 126036, 5486, 114715, 101544, 62004, 107898, 121355, 118273, 123410, 104466, 103801, 109954, 9174, 5736, 114626, 20230, 119283, 31106, 120, 98369, 126328, 13177, 105994, 30512, 104721, 58942, 106956, 105110, 123334, 31431, 120195, 107188, 119150, 120264, 5486, 123927, 102769, 76947, 71289, 31431, 17129, 109954, 1811, 105994, 29295, 124500, 76947, 5486, 50021, 112909, 104721, 107800, 102677, 103350, 99750, 30512, 50928, 38144, 72315, 66383, 39880, 45923, 66953, 112900, 16995, 90620, 50834, 79721, 9174, 95221, 109669, 32149, 101860, 20230, 5486, 105321, 19732, 103470, 115389, 123671, 29295, 43514, 26854, 108710, 101557, 96, 30512, 64889, 43514, 125174, 5486, 38093, 100472, 112661, 122756, 53901, 104371, 47523, 30512, 58318, 105262, 111482, 115717, 17129, 109954, 9174, 44620, 35894, 95221, 30512, 98499, 126843, 20230, 15, 13, 16, 47018, 16556, 53901, 32149, 104028, 41007, 1811, 36761, 119283, 31106, 120, 106150, 103633, 45829, 9458, 102700, 123318, 9080, 116491, 109898, 107680, 198, 14711, 106369, 125683, 62004, 77219, 198, 12, 16139, 220, 29411, 12, 42770, 1245, 33328, 104817, 43167, 34048, 198, 12, 25321, 964, 1753, 31472, 128001, 128000, 41007, 29295, 17620, 55031, 104435, 103846, 26854, 107188, 32149, 109823, 103082, 101860, 90578, 111134, 68408, 38248, 115, 78205, 113883, 109823, 29295, 126120, 102334, 106046, 100472, 33503, 5486, 115240, 29295, 52563, 84389, 104435, 31431, 198, 115240, 16144, 109823, 29295, 126120, 102334, 33503, 5486, 111134, 68408, 38248, 115, 78205, 16073, 29295, 52563, 84389, 104435, 31431, 90578, 102677, 113334, 16556, 109095, 108710, 109904, 115552, 32977, 22957, 107436, 6884, 107420, 80805, 103906, 109853, 123011, 107436, 64121, 79721, 9174, 111134, 68408, 38248, 115, 78205, 16073, 19732, 115240, 30512, 115963, 20230, 52563, 124545, 41007, 15682, 17297, 120332, 16556, 126362, 78434, 9174, 32977, 47884, 100204, 198, 567, 4092, 107420, 80805, 103906, 109853, 198, 6884, 16556, 66870, 105838, 33208, 54926, 110018, 20230, 5486, 123011, 107436, 109823, 108608, 80356, 29295, 88852, 38641, 9174, 12, 4092, 4696, 112603, 16144, 66870, 105838, 33208, 198, 12, 4092, 8048, 4696, 124858, 39135, 198, 12, 4092, 14064, 4696, 124858, 115240, 198, 12, 4092, 34843, 4696, 103721, 108, 31431, 104196, 15024, 41007, 198, 12, 4092, 34624, 4696, 124858, 115240, 16144, 82912, 198, 12, 4092, 12, 22751, 4696, 124858, 115240, 16144, 22398, 110305, 64178, 41007, 198, 14711, 86758, 27452, 198, 827, 4092, 8048, 198, 124858, 39135, 30512, 109823, 125545, 9174, 827, 4092, 14064, 198, 124858, 20230, 115240, 30512, 109823, 125545, 9174, 827, 4092, 34843, 198, 124858, 115240, 16144, 103721, 108, 31431, 104196, 15024, 41007, 30512, 109823, 125545, 1811, 124858, 115240, 30512, 109823, 103792, 107803, 20230, 33655, 61689, 9174, 68408, 108526, 108958, 15682, 198, 31724, 38641, 9174, 110904, 20230, 103721, 108, 31431, 104196, 17663, 102083, 114598, 5486, 109203, 112169, 71289, 102057, 99, 112169, 20230, 116771, 103721, 108, 31431, 104196, 124545, 115789, 125545, 9174, 6884, 34843, 25, 912, 34843, 26, 443, 103721, 108, 31431, 104196, 30813, 100604, 198, 6884, 34843, 25, 13454, 26, 443, 103721, 108, 31431, 104196, 17663, 198, 6884, 34843, 25, 13454, 6695, 26, 443, 109203, 112169, 20230, 103721, 108, 31431, 104196, 17663, 198, 6884, 34843, 25, 13454, 12303, 26, 443, 102057, 99, 112169, 20230, 103721, 108, 31431, 104196, 17663, 198, 827, 4092, 34624, 198, 124858, 115240 ]
[ 16144, 82912, 30512, 109823, 125545, 9174, 3565, 2163, 125845, 220, 15, 220, 15, 38641, 9174, 109823, 41007, 15682, 5486, 17297, 61304, 38641, 9174, 322, 102057, 99, 16144, 82912, 5486, 109203, 16144, 82912, 16144, 35818, 24273, 29295, 68408, 108526, 108958, 116700, 16144, 110674, 5486, 67645, 112384, 32149, 35818, 24273, 30512, 109823, 54926, 107803, 198, 6884, 34624, 25, 1948, 26, 443, 17905, 20230, 86867, 198, 6884, 34624, 25, 5740, 26, 443, 17297, 20230, 86867, 198, 6884, 34624, 25, 2163, 26, 443, 78659, 20230, 86867, 198, 6884, 34624, 25, 1314, 26, 443, 65917, 20230, 86867, 198, 322, 102057, 99, 16144, 82912, 5486, 109203, 16144, 82912, 67645, 112384, 32977, 109823, 54926, 107803, 10110, 27452, 23954, 6884, 34624, 25, 1948, 4219, 26, 443, 17905, 5486, 109432, 20230, 86867, 198, 6884, 34624, 25, 5740, 1314, 26, 443, 17297, 5486, 65917, 20230, 86867, 198, 85701, 116749, 105352, 1804, 71289, 4, 72661, 82912, 16144, 109823, 29295, 125545, 9174, 4, 16556, 109823, 54926, 107803, 5486, 1135, 4, 16556, 109432, 20230, 86867, 84389, 33541, 9174, 109823, 54926, 110480, 87217, 15682, 119869, 20230, 17905, 55031, 5486, 33671, 20230, 78659, 55031, 38641, 9174, 6884, 34624, 25, 65218, 117758, 124349, 84102, 99, 117758, 124349, 280, 6884, 34624, 25, 220, 1135, 1804, 220, 1041, 1804, 26, 443, 17905, 55031, 1135, 1804, 5486, 78659, 55031, 1041, 1804, 20230, 86867, 198, 6884, 34624, 25, 220, 605, 4, 220, 1135, 16571, 443, 17905, 55031, 605, 4, 5486, 78659, 55031, 1135, 4, 10110, 109432, 7705, 20230, 86867, 198, 827, 4092, 12, 22751, 198, 124858, 115240, 16144, 22398, 110305, 64178, 41007, 30512, 109823, 125545, 9174, 12891, 38641, 9174, 6884, 12, 22751, 25, 9236, 26, 443, 122481, 30512, 22398, 110305, 64178, 54926, 16144, 19732, 126419, 20230, 124858, 115240, 32977, 22398, 110305, 64178, 54926, 198, 6884, 12, 22751, 25, 8521, 26, 443, 122481, 30512, 22398, 110305, 64178, 120837, 5486, 124858, 115240, 15682, 124108, 52563, 198, 567, 4092, 16144, 66870, 105838, 198, 28713, 19732, 116285, 124858, 39135, 116825, 105784, 103378, 5486, 104309, 109823, 56051, 16995, 80356, 29295, 16, 118821, 126513, 198, 6884, 8048, 25, 97718, 64121, 16144, 109823, 16556, 126521, 119627, 198, 17297, 16144, 5254, 119775, 115240, 32977, 5486, 39135, 32977, 5486, 86867, 54926, 116245, 32977, 37823, 70563, 84477, 32977, 1981, 19732, 121771, 115867, 109823, 126198, 16995, 126513, 198, 16995, 43514, 16995, 43514, 102181, 119064, 32977, 27384, 104721, 38641, 123794, 9174, 11979, 341, 534, 6884, 107420, 80805, 103906, 15682, 5486, 124858, 30512, 123011, 107436, 109823, 54926, 105908, 125545, 9174, 827, 4092, 198, 6884, 15682, 124858, 16144, 109823, 30512, 66870, 105838, 29295, 125545, 9174, 124858, 30512, 109823, 54926, 104983, 112987, 43514, 16995, 43514, 115303, 59739, 115303, 59739, 109823, 15682, 72342, 101860, 5486, 108031, 85701, 67016, 33655, 78183, 100604, 38641, 9174, 6884, 25, 674, 35163, 2576, 66946, 3592, 8, 912, 34843, 8521, 5740, 1314, 280, 114387, 32149, 25827, 100204, 16556, 112160, 95221, 20230, 109823, 103082, 104702, 61689, 9174, 124749, 43514, 116233, 101832, 106609, 14711, 9085, 97, 229, 9039, 115240, 16144, 109823, 30512, 6884, 16556, 66870, 105838, 198, 17905, 61304, 16556, 123011, 109013, 102944, 15682, 115303, 118821, 6884, 3592, 102677, 115240, 29295, 52563, 84389, 33541, 29295, 198, 109242, 9039, 115240, 30512, 52563, 107726, 106956, 126513, 104405, 123253, 95532, 6884, 25, 2576, 66946, 3592, 8, 912, 34843, 8521, 5740, 1314, 78626, 66946, 2437, 3592, 8, 13454, 12303, 1314, 1948, 674, 35163, 280, 114387, 32149, 25827, 100204, 16556, 5486, 863, 2476, 16556, 17620, 107441, 61304, 43032, 126693, 109242, 9039, 16144, 115240, 32977, 109823, 125545, 9174, 827, 4092, 7321, 198, 115240, 16144, 115844, 30512, 109823, 56051, 16995, 107803, 109853, 32977, 48154, 126362, 78434, 9174, 6884, 7321, 15682, 5486, 124858, 16144, 115240, 16144, 52563, 115844, 30512, 109823, 54926, 105908, 125545, 9174, 99849, 32977, 109823, 21105, 103, 16995, 19732, 5486, 24186, 16144, 115240, 115844, 16556, 52563, 84389, 33541, 9174, 124131, 103927, 16556, 52563, 54926, 126513, 58426, 110674, 16144, 115844, 118816, 115240, 29295, 109416, 71289, 107441, 114732, 105879, 198, 55723, 28190, 115844, 16144, 17, 98406, 16144, 115844, 16144, 115240, 30512, 38129, 78434, 9174, 58426, 107803, 5486, 24186, 16144, 115844, 16144, 110674, 118816, 115240, 29295, 119448, 120195, 30369, 1981, 104405, 119607, 6447, 114016, 100909, 71289, 111476, 55723, 28190, 16995, 112043, 119178, 124858, 115240, 30512, 52563, 107726, 106956, 6447, 72661, 58426, 110674, 16144, 115844, 118816, 198, 119448, 120195, 115926, 111044, 71289, 45736, 30813, 29295, 102780, 31431, 100604, 1981, 104405, 119607, 6447, 105321, 19732, 115789, 57903, 33541, 9174, 110382, 16556, 76706, 109526, 235, 39926, 124089, 112973, 6884, 7321, 38641, 106609, 6884, 14064, 125845, 6884, 107420, 80805, 103906, 19732, 126419, 20230, 109823, 78434, 9174, 3773, 15682, 52591, 33710, 115592, 102540, 16073, 52563, 16144, 107803, 103732, 47884, 33655, 78183, 106824, 61689, 9174, 116294, 102860, 65299, 115844, 30512, 104721, 107290, 64121, 111243, 5486, 102057, 99, 109203, 57106, 124108, 16144, 110674, 52563, 108761, 103438, 30512, 123653, 62004, 107542, 47884, 17663, 104466, 52563, 84389, 33541, 9174, 102057, 99, 109203, 57106, 124108, 16144, 110674, 126529, 77181, 64121, 20834, 30369, 105494, 125334, 38144, 50834, 33541, 29295, 15682, 64121, 20834, 28713, 105494, 15682, 66776, 52563, 115717, 33541, 9174, 53195, 32977, 102057, 99, 109203, 57106, 124108, 119627, 111476, 52563, 108761, 103438, 20230, 124858, 115240, 29295, 112371, 25827, 104369, 52563, 107001, 103846, 5486, 116294, 102860, 65299, 115844, 113115, 39926, 198, 102057, 99, 71289, 109203, 29295, 102780, 31431, 100604, 126513, 89783, 101828, 29295, 108608, 105933, 83799, 16556, 52563, 84389, 33541, 9174, 6884, 7321, 25, 3504, 26, 443, 52563, 108761, 103438, 16995, 112043, 119178, 124858, 115240, 30512, 52563, 198, 6884, 7321, 25, 6782, 26, 443, 52563, 108761, 103438, 113115, 39926, 124858, 115240, 37087, 33014, 30512, 52563, 198, 122270, 5486, 1804, 71289, 4, 113245, 109823, 32977, 125545, 9174, 6884, 7321, 25, 220, 115240, 16144, 111044, 220, 115240, 16144, 45736, 30813, 280, 6884, 7321, 25, 220, 1041, 4, 3313, 26, 443, 109203, 1041, 4, 52563, 5486, 102057, 99, 15682, 115681, 10110, 51330, 107803, 102057, 99, 109203, 57106, 15682, 103553, 102, 33121, 107515, 23954, 6884, 7321, 25, 220, 3443, 1804, 220, 3101, 1804, 26, 443, 109203, 3443, 1804, 5486, 102057, 99, 3101, 1804, 16556, 52563, 198, 567, 106955, 234, 86354, 20230, 115240, 19732, 111134, 68408, 38248, 115, 78205, 113883, 110176, 24273, 30512, 109823, 54926, 198, 112798, 103892, 16556, 102181, 50834, 79721, 29295, 198, 115303, 118821, 31634, 72238, 20230, 6884, 25, 23603, 43838, 19732, 6884, 14064, 30512, 115963, 20230, 198, 109823, 112990, 67645, 112384, 32149, 29295, 33420, 107290, 114732, 1981, 72661, 115963, 20230, 109823, 56051, 16995, 106609, 114387, 110018, 104405, 127564, 104712, 102189, 103950, 11571, 102677, 118733, 104873, 103854, 79721, 9174, 28713, 19732, 116285, 111476, 5870, 341, 6884, 25, 13790, 43838, 12464, 5740, 11, 674, 27984, 220, 15, 13689, 2, 35163, 220, 1041, 95152, 6884, 14064, 25, 2576, 7, 1266, 1931, 14, 6172, 3592, 317, 108895, 102181, 102532, 64121, 28713, 110229, 90578, 6884, 14064, 16144, 109823, 29295, 104622, 61826, 116216, 111134, 68408, 38248, 115, 78205, 16073, 29295, 33420, 107290, 103801, 16995, 79721, 1811, 9174, 105110, 81219, 116900, 36785, 6447, 19732, 116900, 116446, 64121, 104533, 198, 37271, 27479, 15682, 23603, 43838, 16144, 109823, 29295, 104622, 61826, 116216, 5486, 115240, 29295, 33420, 107290, 103801, 16995, 79721, 9174, 90620, 5486, 111134, 68408, 38248, 115, 78205, 16073, 126194, 5486, 39135, 16144, 109823, 36785, 104856, 112371, 32149, 126120, 47884, 1981, 26854, 104127, 95532, 6884, 25, 674, 35163, 280, 6884, 25, 2576, 7, 1266, 1931, 14, 6172, 3592, 8, 912, 34843, 220, 1041, 4, 220, 1135, 13689, 23603, 43838, 12464, 5740, 11, 674, 27984, 220, 15, 13689, 2, 35163, 220, 1041, 95152, 105321, 19732, 5486, 111134, 68408, 38248, 115, 78205, 16073, 15682, 6884, 14064, 112028, 104091, 36785, 102131, 38641, 9174, 27929, 31431, 101668, 30591, 51330, 109823, 16144, 106548, 24273, 104446, 126120, 126660, 113334, 38641, 123794, 1811, 9174, 6884, 107420, 80805, 103906, 15682, 5486, 17905, 61304, 16556, 122984, 56051, 19732, 108086, 109242, 9039, 16144, 115240, 16144, 109823, 32977, 108608, 105879, 111476, 109242, 9039, 109823, 126198, 33503, 52563, 84389, 79721, 32351, 198, 6884, 25, 2576, 7, 1266, 1931, 14, 6172, 3592, 8, 912, 34843, 220, 4161, 4, 220, 1135, 13689, 23603, 43838, 12464, 5740, 11, 674, 27984, 220, 15, 13689, 2, 35163, 220, 1041, 95152, 567, 83639, 123090, 198, 123011, 107436, 64121, 104533, 124858, 109823, 32977, 121771, 98369, 41007, 115991, 33541, 101832, 9174, 102717, 32149, 105352, 105693, 116233, 29295, 101544, 115737, 76947, 114732, 105879, 53900, 16144, 101513, 38093, 20230, 102181, 108895, 106046, 61689, 1981, 106609, 37271, 18904, 16144, 102404, 91774, 15682, 111134, 68408, 38248, 115, 78205, 16073, 29295, 115240, 112028, 104091, 36785, 102677, 118733, 56051, 6447, 128001, 128000, 110382, 96452, 103223, 102803, 52884, 16556, 127557, 30512, 72238, 116366, 114420, 102944, 117657, 114667, 109853, 122617, 30512, 53283, 30369, 118733, 5486, 105755, 53283, 109375, 16144, 101182, 17792, 115717, 17129, 109954, 125939, 91774, 126268, 33541, 1811, 127557, 30512, 72238, 116366, 114420, 102944, 117657, 25446, 105284, 15682, 33671, 16144, 19732, 108086, 38641, 198, 1811, 16, 1811, 71634, 111672, 11972, 198, 57933, 122835, 15682, 30591, 33503, 106644, 30369, 127557, 107809, 72237, 38641, 1811, 112997, 118567, 15682, 5486, 104261, 113124, 5486, 39850, 42634, 103857, 11972, 5486, 37823, 78525, 91062, 30512, 113954, 39926, 5486, 103302, 30512, 114392, 20230, 113954, 108608, 109215, 115991, 33541, 1811, 127557, 30512, 72238, 116366, 114420, 102944, 117657, 103846, 102052, 5486, 112997, 118567, 15682, 127557, 19732, 77693, 29295, 102158, 30369, 53953, 102158, 107294, 105722, 30369, 105908, 103082, 123207, 26854, 31431, 107515, 9174, 17, 13, 80805, 108526, 108941, 107446, 198, 119263, 78767, 105988, 16073, 15682, 40053, 20230, 105994, 126027, 112113, 30512, 115541, 108710, 15024, 5486, 61648, 107726, 127280, 118844, 15682, 119568, 33503, 29295, 119263, 78767, 105988, 16073, 103306, 115924, 58942, 101860, 48864, 102802, 5486, 103130, 33208, 103792, 106592, 115552, 78434, 1811, 80805, 108526, 108941, 107446, 15682, 101523, 227, 126235, 103195, 109215, 115991, 5486, 119263, 78767, 105988, 16073, 15682, 80805, 108526, 108941, 107446, 30512, 33035, 100204, 38144, 112997, 118567, 19732, 59739, 105722, 30369, 105908, 103082, 123207, 26854, 31431, 107515, 9174, 18, 13, 60868, 65299, 102860, 198, 127557, 16144, 60868, 65299, 102860, 15682, 5486, 80805, 102756, 52591, 33710, 16556, 31958, 105184, 20230, 23187, 104577, 110731, 109215, 115991, 33541, 1811, 105465, 32648, 15682, 29220, 104612, 16556, 104195, 16995, 79785, 114792, 103836, 109215, 115991, 33541, 1811, 119263, 78767, 105988, 16073, 15682, 5486, 104261, 16995, 5486, 104873, 34208, 39926, 102446, 116340, 103082, 123207, 26854, 31431, 107515, 9174, 19, 13, 66953, 32131, 76739, 103906, 198, 127557, 15682, 43240, 103826, 38641, 1811, 40053, 20230, 17039, 102800, 102404, 91774, 115991, 33541, 1811, 112997, 118567, 15682, 40053, 20230, 17039, 106624, 38144, 108901, 109020, 102944, 104088, 59739, 105784, 105908, 108608, 116497, 38641, 1811, 127557, 29295, 102491, 115737, 31431, 5486, 103721, 108, 31431, 104196, 107001, 109335, 124897, 9174, 20, 13, 25197, 101335, 102832, 38248, 115, 78205, 16073, 198, 25197, 101335, 102832, 38248, 115, 78205, 16073, 15682, 127557, 30512, 25580, 103130, 124545, 102944, 38641, 1811, 127557, 29295, 95475, 73597, 252, 39926, 102491, 47884, 109020, 109335, 124897, 1811, 127557, 15682, 40053, 20230, 17039, 102800, 41007, 16556, 50338, 13393, 230, 84389, 5486, 112997, 118567, 20230, 110456, 106266, 30512, 58318, 105262, 105908, 103082, 123207, 26854, 31431, 107515, 9174, 21, 13, 103926, 103926, 198, 15682, 127557, 107809, 72237, 38641, 109900, 15682, 127177, 122617, 16144, 103087, 105284, 30512, 102971, 102802, 59739, 105784, 125980, 21403, 97, 38641, 9174, 40474, 107969, 5486, 105335, 106696, 5486, 106063, 109832, 34171, 5486, 108152, 25005, 95, 39880, 5486, 109739, 102802, 64209, 5486, 109242, 122202, 30813, 5486, 102987, 30813, 5486, 125641, 5486, 112113, 5486, 125641, 5486, 76739, 124643, 104603, 11972, 5486, 106391, 13153, 112160, 80631, 104, 34171, 9174, 17039, 102800, 96452, 103223, 102803, 52884, 102895, 115247, 111090, 68408, 39880, 115991, 33541, 109900, 15682, 106618, 106719, 102803, 52884, 16144, 114172, 102512, 19732, 127173, 106824, 61689, 1811, 96452, 103223, 102803, 52884, 16144, 114172, 102512, 30512, 52591, 33710, 44971, 94550, 22398, 16556, 24326, 104, 105651, 54926, 106592, 78698, 107290, 61689, 1811, 126843, 5486, 96452, 103223, 102803, 52884, 107118, 127091, 5486, 80539, 77693, 29295, 67645, 16144, 101200, 110276, 104865, 109853, 87177, 15024, 40862, 61689, 1811, 96452, 103223, 102803, 52884, 16144, 119372, 31958, 23538, 19732, 58426, 27704, 109709, 109853, 33334, 87177, 78434, 109900, 77181, 5486, 96452, 103223, 102803, 52884, 29295, 119448, 115737, 100472, 39177, 23538, 19732, 108048, 29295, 67645, 119775, 39926, 27384, 19653, 30512, 110226, 109013, 104865, 109853, 33334, 87177, 78434, 109900, 77181, 5486, 106618, 106719, 102803, 52884, 29295, 17297, 31431, 115641, 115717, 27704, 109013, 39177, 23538, 109853, 33334, 87177, 78434, 109900, 29295, 67645, 119775, 109161, 33208, 56051, 32149, 5486, 80539, 77693, 29295, 124042, 112535, 67645, 119775, 107391, 16073, 64810, 33710, 103646, 32149, 109853, 87177, 78434, 1811, 96452, 103223, 102803, 52884, 29295, 67645, 119775, 102625, 55031, 114941, 121118, 104865, 5486, 80539, 77693, 29295, 37271, 71289, 102616, 16556, 32335, 32977, 27384, 112495, 102944, 101983, 103836, 104865, 109853, 87177, 39926, 5486, 102895, 11972, 30512, 126233, 62004, 47884, 47884, 31431, 33541, 1811, 96452, 103223, 102803, 52884, 66953, 102860, 111848, 102803, 52884, 80805, 108526 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 82912, 30512, 109823, 125545, 9174, 3565, 2163, 125845, 220, 15, 220, 15, 38641, 9174, 109823, 41007, 15682, 5486, 17297, 61304, 38641, 9174, 322, 102057, 99, 16144, 82912, 5486, 109203, 16144, 82912, 16144, 35818, 24273, 29295, 68408, 108526, 108958, 116700, 16144, 110674, 5486, 67645, 112384, 32149, 35818, 24273, 30512, 109823, 54926, 107803, 198, 6884, 34624, 25, 1948, 26, 443, 17905, 20230, 86867, 198, 6884, 34624, 25, 5740, 26, 443, 17297, 20230, 86867, 198, 6884, 34624, 25, 2163, 26, 443, 78659, 20230, 86867, 198, 6884, 34624, 25, 1314, 26, 443, 65917, 20230, 86867, 198, 322, 102057, 99, 16144, 82912, 5486, 109203, 16144, 82912, 67645, 112384, 32977, 109823, 54926, 107803, 10110, 27452, 23954, 6884, 34624, 25, 1948, 4219, 26, 443, 17905, 5486, 109432, 20230, 86867, 198, 6884, 34624, 25, 5740, 1314, 26, 443, 17297, 5486, 65917, 20230, 86867, 198, 85701, 116749, 105352, 1804, 71289, 4, 72661, 82912, 16144, 109823, 29295, 125545, 9174, 4, 16556, 109823, 54926, 107803, 5486, 1135, 4, 16556, 109432, 20230, 86867, 84389, 33541, 9174, 109823, 54926, 110480, 87217, 15682, 119869, 20230, 17905, 55031, 5486, 33671, 20230, 78659, 55031, 38641, 9174, 6884, 34624, 25, 65218, 117758, 124349, 84102, 99, 117758, 124349, 280, 6884, 34624, 25, 220, 1135, 1804, 220, 1041, 1804, 26, 443, 17905, 55031, 1135, 1804, 5486, 78659, 55031, 1041, 1804, 20230, 86867, 198, 6884, 34624, 25, 220, 605, 4, 220, 1135, 16571, 443, 17905, 55031, 605, 4, 5486, 78659, 55031, 1135, 4, 10110, 109432, 7705, 20230, 86867, 198, 827, 4092, 12, 22751, 198, 124858, 115240, 16144, 22398, 110305, 64178, 41007, 30512, 109823, 125545, 9174, 12891, 38641, 9174, 6884, 12, 22751, 25, 9236, 26, 443, 122481, 30512, 22398, 110305, 64178, 54926, 16144, 19732, 126419, 20230, 124858, 115240, 32977, 22398, 110305, 64178, 54926, 198, 6884, 12, 22751, 25, 8521, 26, 443, 122481, 30512, 22398, 110305, 64178, 120837, 5486, 124858, 115240, 15682, 124108, 52563, 198, 567, 4092, 16144, 66870, 105838, 198, 28713, 19732, 116285, 124858, 39135, 116825, 105784, 103378, 5486, 104309, 109823, 56051, 16995, 80356, 29295, 16, 118821, 126513, 198, 6884, 8048, 25, 97718, 64121, 16144, 109823, 16556, 126521, 119627, 198, 17297, 16144, 5254, 119775, 115240, 32977, 5486, 39135, 32977, 5486, 86867, 54926, 116245, 32977, 37823, 70563, 84477, 32977, 1981, 19732, 121771, 115867, 109823, 126198, 16995, 126513, 198, 16995, 43514, 16995, 43514, 102181, 119064, 32977, 27384, 104721, 38641, 123794, 9174, 11979, 341, 534, 6884, 107420, 80805, 103906, 15682, 5486, 124858, 30512, 123011, 107436, 109823, 54926, 105908, 125545, 9174, 827, 4092, 198, 6884, 15682, 124858, 16144, 109823, 30512, 66870, 105838, 29295, 125545, 9174, 124858, 30512, 109823, 54926, 104983, 112987, 43514, 16995, 43514, 115303, 59739, 115303, 59739, 109823, 15682, 72342, 101860, 5486, 108031, 85701, 67016, 33655, 78183, 100604, 38641, 9174, 6884, 25, 674, 35163, 2576, 66946, 3592, 8, 912, 34843, 8521, 5740, 1314, 280, 114387, 32149, 25827, 100204, 16556, 112160, 95221, 20230, 109823, 103082, 104702, 61689, 9174, 124749, 43514, 116233, 101832, 106609, 14711, 9085, 97, 229, 9039, 115240, 16144, 109823, 30512, 6884, 16556, 66870, 105838, 198, 17905, 61304, 16556, 123011, 109013, 102944, 15682, 115303, 118821, 6884, 3592, 102677, 115240, 29295, 52563, 84389, 33541, 29295, 198, 109242, 9039, 115240, 30512, 52563, 107726, 106956, 126513, 104405, 123253, 95532, 6884, 25, 2576, 66946, 3592, 8, 912, 34843, 8521, 5740, 1314, 78626, 66946, 2437, 3592, 8, 13454, 12303, 1314, 1948, 674, 35163, 280, 114387, 32149, 25827, 100204, 16556, 5486, 863, 2476, 16556, 17620, 107441, 61304, 43032, 126693, 109242, 9039, 16144, 115240, 32977, 109823, 125545, 9174, 827, 4092, 7321, 198, 115240, 16144, 115844, 30512, 109823, 56051, 16995, 107803, 109853, 32977, 48154, 126362, 78434, 9174, 6884, 7321, 15682, 5486, 124858, 16144, 115240, 16144, 52563, 115844, 30512, 109823, 54926, 105908, 125545, 9174, 99849, 32977, 109823, 21105, 103, 16995, 19732, 5486, 24186, 16144, 115240, 115844, 16556, 52563, 84389, 33541, 9174, 124131, 103927, 16556, 52563, 54926, 126513, 58426, 110674, 16144, 115844, 118816, 115240, 29295, 109416, 71289, 107441, 114732, 105879, 198, 55723, 28190, 115844, 16144, 17, 98406, 16144, 115844, 16144, 115240, 30512, 38129, 78434, 9174, 58426, 107803, 5486, 24186, 16144, 115844, 16144, 110674, 118816, 115240, 29295, 119448, 120195, 30369, 1981, 104405, 119607, 6447, 114016, 100909, 71289, 111476, 55723, 28190, 16995, 112043, 119178, 124858, 115240, 30512, 52563, 107726, 106956, 6447, 72661, 58426, 110674, 16144, 115844, 118816, 198, 119448, 120195, 115926, 111044, 71289, 45736, 30813, 29295, 102780, 31431, 100604, 1981, 104405, 119607, 6447, 105321, 19732, 115789, 57903, 33541, 9174, 110382, 16556, 76706, 109526, 235, 39926, 124089, 112973, 6884, 7321, 38641, 106609, 6884, 14064, 125845, 6884, 107420, 80805, 103906, 19732, 126419, 20230, 109823, 78434, 9174, 3773, 15682, 52591, 33710, 115592, 102540, 16073, 52563, 16144, 107803, 103732, 47884, 33655, 78183, 106824, 61689, 9174, 116294, 102860, 65299, 115844, 30512, 104721, 107290, 64121, 111243, 5486, 102057, 99, 109203, 57106, 124108, 16144, 110674, 52563, 108761, 103438, 30512, 123653, 62004, 107542, 47884, 17663, 104466, 52563, 84389, 33541, 9174, 102057, 99, 109203, 57106, 124108, 16144, 110674, 126529, 77181, 64121, 20834, 30369, 105494, 125334, 38144, 50834, 33541, 29295, 15682, 64121, 20834, 28713, 105494, 15682, 66776, 52563, 115717, 33541, 9174, 53195, 32977, 102057, 99, 109203, 57106, 124108, 119627, 111476, 52563, 108761, 103438, 20230, 124858, 115240, 29295, 112371, 25827, 104369, 52563, 107001, 103846, 5486, 116294, 102860, 65299, 115844, 113115, 39926, 198, 102057, 99, 71289, 109203, 29295, 102780, 31431, 100604, 126513, 89783, 101828, 29295, 108608, 105933, 83799, 16556, 52563, 84389, 33541, 9174, 6884, 7321, 25, 3504, 26, 443, 52563, 108761, 103438, 16995, 112043, 119178, 124858, 115240, 30512, 52563, 198, 6884, 7321, 25, 6782, 26, 443, 52563, 108761, 103438, 113115, 39926, 124858, 115240, 37087, 33014, 30512, 52563, 198, 122270, 5486, 1804, 71289, 4, 113245, 109823, 32977, 125545, 9174, 6884, 7321, 25, 220, 115240, 16144, 111044, 220, 115240, 16144, 45736, 30813, 280, 6884, 7321, 25, 220, 1041, 4, 3313, 26, 443, 109203, 1041, 4, 52563, 5486, 102057, 99, 15682, 115681, 10110, 51330, 107803, 102057, 99, 109203, 57106, 15682, 103553, 102, 33121, 107515, 23954, 6884, 7321, 25, 220, 3443, 1804, 220, 3101, 1804, 26, 443, 109203, 3443, 1804, 5486, 102057, 99, 3101, 1804, 16556, 52563, 198, 567, 106955, 234, 86354, 20230, 115240, 19732, 111134, 68408, 38248, 115, 78205, 113883, 110176, 24273, 30512, 109823, 54926, 198, 112798, 103892, 16556, 102181, 50834, 79721, 29295, 198, 115303, 118821, 31634, 72238, 20230, 6884, 25, 23603, 43838, 19732, 6884, 14064, 30512, 115963, 20230, 198, 109823, 112990, 67645, 112384, 32149, 29295, 33420, 107290, 114732, 1981, 72661, 115963, 20230, 109823, 56051, 16995, 106609, 114387, 110018, 104405, 127564, 104712, 102189, 103950, 11571, 102677, 118733, 104873, 103854, 79721, 9174, 28713, 19732, 116285, 111476, 5870, 341, 6884, 25, 13790, 43838, 12464, 5740, 11, 674, 27984, 220, 15, 13689, 2, 35163, 220, 1041, 95152, 6884, 14064, 25, 2576, 7, 1266, 1931, 14, 6172, 3592, 317, 108895, 102181, 102532, 64121, 28713, 110229, 90578, 6884, 14064, 16144, 109823, 29295, 104622, 61826, 116216, 111134, 68408, 38248, 115, 78205, 16073, 29295, 33420, 107290, 103801, 16995, 79721, 1811, 9174, 105110, 81219, 116900, 36785, 6447, 19732, 116900, 116446, 64121, 104533, 198, 37271, 27479, 15682, 23603, 43838, 16144, 109823, 29295, 104622, 61826, 116216, 5486, 115240, 29295, 33420, 107290, 103801, 16995, 79721, 9174, 90620, 5486, 111134, 68408, 38248, 115, 78205, 16073, 126194, 5486, 39135, 16144, 109823, 36785, 104856, 112371, 32149, 126120, 47884, 1981, 26854, 104127, 95532, 6884, 25, 674, 35163, 280, 6884, 25, 2576, 7, 1266, 1931, 14, 6172, 3592, 8, 912, 34843, 220, 1041, 4, 220, 1135, 13689, 23603, 43838, 12464, 5740, 11, 674, 27984, 220, 15, 13689, 2, 35163, 220, 1041, 95152, 105321, 19732, 5486, 111134, 68408, 38248, 115, 78205, 16073, 15682, 6884, 14064, 112028, 104091, 36785, 102131, 38641, 9174, 27929, 31431, 101668, 30591, 51330, 109823, 16144, 106548, 24273, 104446, 126120, 126660, 113334, 38641, 123794, 1811, 9174, 6884, 107420, 80805, 103906, 15682, 5486, 17905, 61304, 16556, 122984, 56051, 19732, 108086, 109242, 9039, 16144, 115240, 16144, 109823, 32977, 108608, 105879, 111476, 109242, 9039, 109823, 126198, 33503, 52563, 84389, 79721, 32351, 198, 6884, 25, 2576, 7, 1266, 1931, 14, 6172, 3592, 8, 912, 34843, 220, 4161, 4, 220, 1135, 13689, 23603, 43838, 12464, 5740, 11, 674, 27984, 220, 15, 13689, 2, 35163, 220, 1041, 95152, 567, 83639, 123090, 198, 123011, 107436, 64121, 104533, 124858, 109823, 32977, 121771, 98369, 41007, 115991, 33541, 101832, 9174, 102717, 32149, 105352, 105693, 116233, 29295, 101544, 115737, 76947, 114732, 105879, 53900, 16144, 101513, 38093, 20230, 102181, 108895, 106046, 61689, 1981, 106609, 37271, 18904, 16144, 102404, 91774, 15682, 111134, 68408, 38248, 115, 78205, 16073, 29295, 115240, 112028, 104091, 36785, 102677, 118733, 56051, 6447, 128001, 128000, 110382, 96452, 103223, 102803, 52884, 16556, 127557, 30512, 72238, 116366, 114420, 102944, 117657, 114667, 109853, 122617, 30512, 53283, 30369, 118733, 5486, 105755, 53283, 109375, 16144, 101182, 17792, 115717, 17129, 109954, 125939, 91774, 126268, 33541, 1811, 127557, 30512, 72238, 116366, 114420, 102944, 117657, 25446, 105284, 15682, 33671, 16144, 19732, 108086, 38641, 198, 1811, 16, 1811, 71634, 111672, 11972, 198, 57933, 122835, 15682, 30591, 33503, 106644, 30369, 127557, 107809, 72237, 38641, 1811, 112997, 118567, 15682, 5486, 104261, 113124, 5486, 39850, 42634, 103857, 11972, 5486, 37823, 78525, 91062, 30512, 113954, 39926, 5486, 103302, 30512, 114392, 20230, 113954, 108608, 109215, 115991, 33541, 1811, 127557, 30512, 72238, 116366, 114420, 102944, 117657, 103846, 102052, 5486, 112997, 118567, 15682, 127557, 19732, 77693, 29295, 102158, 30369, 53953, 102158, 107294, 105722, 30369, 105908, 103082, 123207, 26854, 31431, 107515, 9174, 17, 13, 80805, 108526, 108941, 107446, 198, 119263, 78767, 105988, 16073, 15682, 40053, 20230, 105994, 126027, 112113, 30512, 115541, 108710, 15024, 5486, 61648, 107726, 127280, 118844, 15682, 119568, 33503, 29295, 119263, 78767, 105988, 16073, 103306, 115924, 58942, 101860, 48864, 102802, 5486, 103130, 33208, 103792, 106592, 115552, 78434, 1811, 80805, 108526, 108941, 107446, 15682, 101523, 227, 126235, 103195, 109215, 115991, 5486, 119263, 78767, 105988, 16073, 15682, 80805, 108526, 108941, 107446, 30512, 33035, 100204, 38144, 112997, 118567, 19732, 59739, 105722, 30369, 105908, 103082, 123207, 26854, 31431, 107515, 9174, 18, 13, 60868, 65299, 102860, 198, 127557, 16144, 60868, 65299, 102860, 15682, 5486, 80805, 102756, 52591, 33710, 16556, 31958, 105184, 20230, 23187, 104577, 110731, 109215, 115991, 33541, 1811, 105465, 32648, 15682, 29220, 104612, 16556, 104195, 16995, 79785, 114792, 103836, 109215, 115991, 33541, 1811, 119263, 78767, 105988, 16073, 15682, 5486, 104261, 16995, 5486, 104873, 34208, 39926, 102446, 116340, 103082, 123207, 26854, 31431, 107515, 9174, 19, 13, 66953, 32131, 76739, 103906, 198, 127557, 15682, 43240, 103826, 38641, 1811, 40053, 20230, 17039, 102800, 102404, 91774, 115991, 33541, 1811, 112997, 118567, 15682, 40053, 20230, 17039, 106624, 38144, 108901, 109020, 102944, 104088, 59739, 105784, 105908, 108608, 116497, 38641, 1811, 127557, 29295, 102491, 115737, 31431, 5486, 103721, 108, 31431, 104196, 107001, 109335, 124897, 9174, 20, 13, 25197, 101335, 102832, 38248, 115, 78205, 16073, 198, 25197, 101335, 102832, 38248, 115, 78205, 16073, 15682, 127557, 30512, 25580, 103130, 124545, 102944, 38641, 1811, 127557, 29295, 95475, 73597, 252, 39926, 102491, 47884, 109020, 109335, 124897, 1811, 127557, 15682, 40053, 20230, 17039, 102800, 41007, 16556, 50338, 13393, 230, 84389, 5486, 112997, 118567, 20230, 110456, 106266, 30512, 58318, 105262, 105908, 103082, 123207, 26854, 31431, 107515, 9174, 21, 13, 103926, 103926, 198, 15682, 127557, 107809, 72237, 38641, 109900, 15682, 127177, 122617, 16144, 103087, 105284, 30512, 102971, 102802, 59739, 105784, 125980, 21403, 97, 38641, 9174, 40474, 107969, 5486, 105335, 106696, 5486, 106063, 109832, 34171, 5486, 108152, 25005, 95, 39880, 5486, 109739, 102802, 64209, 5486, 109242, 122202, 30813, 5486, 102987, 30813, 5486, 125641, 5486, 112113, 5486, 125641, 5486, 76739, 124643, 104603, 11972, 5486, 106391, 13153, 112160, 80631, 104, 34171, 9174, 17039, 102800, 96452, 103223, 102803, 52884, 102895, 115247, 111090, 68408, 39880, 115991, 33541, 109900, 15682, 106618, 106719, 102803, 52884, 16144, 114172, 102512, 19732, 127173, 106824, 61689, 1811, 96452, 103223, 102803, 52884, 16144, 114172, 102512, 30512, 52591, 33710, 44971, 94550, 22398, 16556, 24326, 104, 105651, 54926, 106592, 78698, 107290, 61689, 1811, 126843, 5486, 96452, 103223, 102803, 52884, 107118, 127091, 5486, 80539, 77693, 29295, 67645, 16144, 101200, 110276, 104865, 109853, 87177, 15024, 40862, 61689, 1811, 96452, 103223, 102803, 52884, 16144, 119372, 31958, 23538, 19732, 58426, 27704, 109709, 109853, 33334, 87177, 78434, 109900, 77181, 5486, 96452, 103223, 102803, 52884, 29295, 119448, 115737, 100472, 39177, 23538, 19732, 108048, 29295, 67645, 119775, 39926, 27384, 19653, 30512, 110226, 109013, 104865, 109853, 33334, 87177, 78434, 109900, 77181, 5486, 106618, 106719, 102803, 52884, 29295, 17297, 31431, 115641, 115717, 27704, 109013, 39177, 23538, 109853, 33334, 87177, 78434, 109900, 29295, 67645, 119775, 109161, 33208, 56051, 32149, 5486, 80539, 77693, 29295, 124042, 112535, 67645, 119775, 107391, 16073, 64810, 33710, 103646, 32149, 109853, 87177, 78434, 1811, 96452, 103223, 102803, 52884, 29295, 67645, 119775, 102625, 55031, 114941, 121118, 104865, 5486, 80539, 77693, 29295, 37271, 71289, 102616, 16556, 32335, 32977, 27384, 112495, 102944, 101983, 103836, 104865, 109853, 87177, 39926, 5486, 102895, 11972, 30512, 126233, 62004, 47884, 47884, 31431, 33541, 1811, 96452, 103223, 102803, 52884, 66953, 102860, 111848, 102803, 52884, 80805, 108526 ]
[ 108941, 107446, 16556, 102895, 11972, 30512, 126233, 62004, 47884, 47884, 31431, 33541, 9174, 122571, 121410, 8107, 51330, 102895, 11972, 117824, 16995, 5486, 121410, 8107, 103283, 16144, 66953, 102860, 20230, 102446, 116340, 120837, 110706, 79721, 1811, 66953, 102860, 15682, 96452, 103223, 102803, 52884, 16144, 114172, 102512, 125030, 76947, 107693, 26854, 66953, 102860, 108176, 123253, 1811, 128001, 128000, 12, 122973, 65854, 198, 12, 220, 2366, 17, 13, 2705, 13, 2371, 198, 2, 53606, 232, 61337, 16144, 101307, 116974, 112167, 101275, 104926, 103927, 103202, 122481, 114835, 39177, 55031, 78698, 105262, 198, 103927, 103202, 122481, 30512, 114835, 127564, 5486, 101307, 116974, 15682, 108008, 20230, 27384, 102769, 38641, 9174, 90620, 110371, 101307, 116974, 15682, 126920, 102040, 65575, 33710, 29295, 45736, 115737, 76947, 102532, 5486, 112599, 16144, 41758, 38248, 108, 33710, 71289, 104930, 52591, 11972, 127359, 25197, 110305, 102741, 112508, 16144, 91482, 94550, 104309, 15682, 5486, 105284, 29295, 103167, 16995, 101307, 116974, 30512, 43568, 103984, 39926, 50834, 33541, 9174, 80539, 51330, 105284, 16144, 103167, 16995, 19732, 112844, 104468, 5486, 107188, 111331, 105184, 96455, 16556, 37026, 102446, 29295, 96412, 17129, 104028, 101200, 110276, 19732, 112391, 33541, 9174, 58426, 103846, 5486, 13870, 232, 61337, 77181, 126920, 30590, 103868, 26854, 112415, 77181, 57903, 33541, 29295, 5486, 101307, 116974, 112167, 101275, 117824, 76947, 102532, 5486, 16, 8107, 16556, 9039, 22656, 15682, 122635, 29295, 103082, 127280, 9174, 77181, 5486, 118789, 112535, 67645, 120950, 101307, 116974, 112167, 101275, 117824, 103836, 32149, 30512, 48154, 126362, 78434, 9174, 103927, 103202, 122481, 30512, 114835, 39177, 55031, 111800, 118219, 54926, 118733, 5486, 114715, 72661, 43240, 119064, 101307, 116974, 29295, 122635, 88367, 38641, 9174, 567, 40003, 242, 23039, 106358, 103359, 105226, 107118, 198, 126843, 5486, 101307, 116974, 112167, 101275, 30512, 48154, 126362, 54926, 112772, 5486, 13870, 232, 61337, 29295, 11881, 242, 23039, 76947, 102532, 5486, 15, 77181, 57903, 105823, 104127, 56051, 29295, 5486, 102717, 19732, 124592, 122635, 103082, 104435, 103359, 105226, 25333, 30512, 48154, 126362, 78434, 9174, 14711, 119019, 105284, 26854, 47260, 108304, 119495, 19967, 13153, 15682, 103768, 29295, 119448, 16995, 198, 126843, 5486, 101307, 116974, 29295, 122635, 108608, 47260, 108304, 119495, 30512, 111800, 118219, 112990, 5486, 103424, 105284, 26854, 111234, 52884, 122481, 126694, 13153, 54926, 100909, 19732, 112844, 112973, 108936, 9554, 103195, 106046, 61689, 9174, 80673, 5486, 103350, 104983, 20230, 13870, 232, 61337, 16144, 103927, 103202, 122481, 114835, 103350, 116486, 16144, 43240, 47884, 29295, 5486, 16, 13372, 5486, 43240, 47884, 111243, 17, 13372, 33014, 44416, 16556, 116229, 103768, 112167, 117824, 78183, 115032, 16144, 119627, 5486, 107943, 20230, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 108608, 123253, 32149, 95532, 103350, 104983, 20230, 13870, 232, 61337, 32977, 5486, 11881, 242, 15682, 103424, 105284, 26854, 47260, 108304, 119495, 19967, 13153, 117824, 76947, 101307, 116974, 30512, 122635, 119607, 19732, 121837, 107113, 113146, 32977, 57903, 79721, 9174, 32977, 43514, 85791, 25827, 5486, 122635, 22656, 9039, 15682, 15, 111769, 119627, 5486, 112599, 16144, 112167, 101275, 112415, 19732, 57106, 103854, 104533, 5486, 126920, 50034, 104680, 28713, 30369, 102944, 16556, 5486, 16, 116033, 16, 22656, 122635, 120264, 16144, 99695, 61398, 117084, 61689, 9174, 53900, 115143, 102052, 5486, 105994, 107809, 16556, 5486, 38093, 64209, 16144, 106084, 106046, 100472, 122481, 20230, 47000, 32149, 101860, 5486, 116900, 20230, 51330, 122481, 15682, 102181, 47884, 112973, 111108, 67016, 100472, 82530, 5486, 106046, 100472, 122481, 20230, 47000, 102334, 31431, 109768, 79721, 9174, 51330, 104466, 5486, 67645, 103171, 20230, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 15024, 106307, 107441, 32977, 5486, 103350, 15682, 122635, 108608, 32149, 15682, 103768, 33671, 30537, 117084, 61689, 9174, 32977, 43514, 85791, 25827, 5486, 103768, 19732, 78244, 114598, 5486, 105284, 29295, 103167, 16995, 122481, 30512, 33857, 106518, 109768, 104533, 5486, 115924, 103359, 20230, 15, 119627, 5486, 105284, 29295, 126574, 47260, 108304, 119495, 19967, 13153, 117824, 16995, 106307, 76622, 100481, 104984, 5486, 115924, 103359, 20230, 15, 19732, 112844, 109335, 100604, 105879, 121906, 95604, 115552, 77181, 8239, 114503, 9554, 38641, 9174, 14711, 105864, 103, 99397, 30046, 29295, 37507, 100604, 19732, 101307, 116974, 15682, 122635, 118765, 198, 122270, 5486, 103350, 104983, 20230, 13870, 232, 61337, 29295, 23039, 76947, 102532, 91763, 100472, 109335, 5486, 67645, 103171, 20230, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 15024, 106307, 76622, 100481, 111243, 5486, 120824, 99397, 30046, 29295, 37507, 123207, 101307, 116974, 29295, 122635, 103082, 26854, 102677, 28542, 115991, 33541, 9174, 51330, 120824, 99397, 112919, 43167, 65854, 121960, 15682, 5486, 43240, 47884, 126362, 110731, 112973, 102741, 38248, 115, 68581, 33710, 39850, 125380, 16144, 107740, 19732, 63879, 117084, 61689, 9174, 126843, 5486, 102741, 38248, 115, 68581, 33710, 39850, 125380, 16144, 107740, 119627, 5486, 13870, 232, 61337, 32977, 89151, 119063, 120650, 106358, 39177, 23538, 115991, 33541, 9174, 58426, 110018, 16144, 8239, 114503, 103306, 15682, 5486, 105184, 111201, 102741, 38248, 115, 68581, 33710, 39850, 125380, 117758, 89753, 17701, 29295, 16, 117816, 1490, 17792, 113314, 101983, 106358, 105879, 5486, 120824, 99397, 112919, 122635, 15682, 103082, 100481, 79721, 9174, 80673, 108948, 99397, 16995, 114146, 9039, 15682, 16, 113746, 16556, 17, 11, 18, 22656, 5486, 122270, 101307, 116974, 109853, 15682, 5486, 125821, 116292, 33565, 101, 16556, 15, 125845, 16, 101983, 107462, 79721, 9174, 32977, 43514, 85791, 25827, 5486, 95001, 112603, 16144, 126574, 103927, 103202, 122481, 55031, 101307, 116974, 127303, 104984, 112160, 95221, 20230, 111800, 52084, 110480, 25129, 29295, 115442, 31431, 33541, 29295, 108048, 108680, 126574, 95001, 112603, 111769, 103927, 103202, 122481, 55031, 29295, 27384, 103268, 103351, 105879, 5486, 111800, 52084, 110480, 25129, 15682, 91875, 50834, 105823, 104127, 56051, 9174, 53900, 5486, 9039, 32977, 16, 8107, 16556, 91774, 111243, 43240, 47884, 38144, 21, 22656, 25580, 74482, 117084, 102532, 5486, 16, 8107, 106307, 76622, 79721, 29295, 5486, 111800, 52084, 110480, 25129, 20230, 117375, 119703, 19732, 121355, 107436, 103801, 16995, 79721, 9174, 80539, 33671, 20230, 63879, 117084, 109749, 16144, 119627, 110371, 63879, 15682, 5486, 105184, 111201, 41758, 38248, 108, 33710, 118148, 47884, 5486, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 109768, 104984, 115442, 104533, 119852, 61689, 9174, 80673, 5486, 13870, 232, 61337, 16144, 103927, 103202, 122481, 114835, 103350, 116486, 16144, 108695, 71289, 13870, 232, 61337, 116229, 114447, 48249, 31431, 5486, 103424, 105284, 26854, 47260, 108304, 119495, 19967, 13153, 30512, 37689, 109375, 54926, 126036, 63879, 30512, 37689, 109375, 54926, 24273, 29295, 27384, 102769, 38641, 9174, 80539, 110371, 17, 28542, 30512, 37689, 109375, 39926, 5486, 16, 11, 17, 122481, 19967, 13153, 120837, 8239, 114503, 15682, 20834, 107515, 29295, 5486, 32977, 43514, 85791, 25827, 17905, 25129, 52563, 30512, 101462, 247, 30297, 62903, 25005, 107, 65575, 105352, 105755, 33541, 29295, 5486, 1041, 122481, 15682, 19967, 13153, 21105, 103, 47884, 38144, 112987, 76622, 107515, 9174, 110924, 16556, 85707, 107436, 5486, 17297, 114050, 122481, 29295, 17905, 25129, 52563, 107001, 101200, 115717, 5486, 120550, 104984, 5486, 122635, 125545, 29295, 5486, 103350, 104983, 20230, 47260, 108304, 119495, 16144, 105284, 23897, 112772, 116229, 51107, 57933, 108941, 20230, 119448, 47884, 117375, 116216, 61689, 9174, 58426, 103846, 5486, 101307, 116974, 30512, 122635, 39926, 63879, 8239, 114503, 30512, 45736, 62004, 106956, 110115, 5486, 122635, 54926, 113009, 104735, 101, 27384, 26854, 33857, 16144, 116229, 103768, 112167, 117824, 30297, 104468, 126120, 96455, 29295, 109161, 16995, 19732, 113727, 103283, 16144, 41007, 30512, 91763, 52084, 121256, 9174, 567, 123070, 116974, 56051, 16995, 106046, 114598, 33503, 30297, 47260, 108304, 119495, 19967, 13153, 198, 103350, 104983, 20230, 13870, 232, 61337, 77181, 5486, 110924, 103296, 108947, 102404, 109904, 9039, 77181, 124897, 29295, 5486, 112599, 15682, 23187, 23538, 112535, 101307, 116974, 29295, 122635, 103082, 127280, 9174, 77181, 5486, 67645, 119775, 39926, 122635, 108608, 101200, 110276, 32149, 30512, 48154, 126362, 78434, 9174, 14711, 26029, 19732, 108152, 38248, 114, 115247, 124122, 122481, 19967, 13153, 198, 108729, 109904, 102923, 105226, 15682, 5486, 105335, 26269, 52591, 52884, 77750, 20230, 17039, 106045, 122481, 19967, 13153, 115717, 33541, 9174, 90620, 15024, 106116, 104983, 102052, 5486, 101307, 116974, 16144, 122635, 126194, 88852, 16144, 106592, 78698, 107290, 61689, 9174, 12, 21370, 99, 38248, 114, 11972, 29295, 98499, 64121, 126172, 47884, 113954, 15024, 126172, 16995, 198, 12, 26029, 30512, 37689, 109375, 56051, 102803, 103906, 94550, 198, 12, 220, 115240, 15682, 108608, 48249, 31431, 33655, 78183, 100604, 198, 13870, 232, 61337, 29295, 23039, 100472, 104468, 5486, 108729, 9554, 102052, 108152, 38248, 114, 11972, 29295, 98499, 64121, 126172, 47884, 19361, 105576, 103195, 111234, 52884, 122481, 16144, 19967, 13153, 38641, 9174, 90620, 15024, 5486, 108152, 38248, 114, 11972, 103378, 126194, 5486, 63879, 15682, 32977, 43514, 85791, 25827, 37689, 109375, 127145, 9174, 53900, 5486, 115240, 109853, 15682, 5486, 101275, 104091, 113468, 15682, 5486, 115240, 30512, 105104, 102189, 25827, 20230, 107740, 56051, 24273, 29295, 105465, 20230, 51107, 29295, 125545, 29295, 5486, 13870, 232, 61337, 16144, 105335, 26269, 52591, 52884, 77750, 77181, 115240, 19967, 13153, 82973, 29295, 32977, 100472, 16995, 100604, 105879, 5486, 110993, 48634, 107740, 103801, 72342, 25827, 9174, 80539, 114626, 20230, 5486, 101307, 116974, 30512, 78698, 107800, 53229, 83932, 19967, 13153, 15682, 126920, 82973, 29295, 32149, 117295, 105879, 5486, 111234, 52884, 122481, 126694, 13153, 54926, 104983, 102052, 5486, 108729, 9554, 102052, 113727, 107515, 9174, 13870, 232, 61337, 116229, 15682, 110371, 19967, 101275, 112212, 5486, 8107, 56965, 16556, 9039, 22656, 119627, 122635, 108608, 101200, 117084, 61689, 9174, 14711, 656, 19070, 30512, 21105, 96, 107277, 19732, 23039, 30297, 198, 80539, 112160, 34048, 29630, 117084, 103801, 76947, 61689, 29295, 5486, 108729, 9554, 102052, 102404, 116974, 15682, 67, 1073, 1573, 116446, 61689, 9174, 32977, 43514, 85791, 25827, 5486, 112599, 29630, 16144, 111234, 52884, 122481, 32977, 5486, 37823, 119744, 16144, 104983, 102052, 67, 1073, 1573, 124259, 122489, 78434, 9174, 26854, 112371, 32149, 19732, 112844, 19732, 115132, 106384, 37823, 76739, 25197, 102514, 29295, 103768, 112167, 54926, 103927, 103202, 122481, 55031, 29295, 39850, 76171, 16556, 101462, 247, 30297, 125231, 118816, 113727, 100481, 38144, 5486, 29630, 16144, 102404, 116974, 117824, 107462, 104533, 122635, 101513, 38093, 30512, 21388, 61689, 9174, 39880, 106384, 37823, 76739, 25197, 102514, 105352, 105755, 33541, 29295, 5486, 72342, 42891, 32149, 47884, 105994, 29295, 23039, 30297, 105879, 30591, 104984, 5486, 105994, 32977, 101307, 116974, 39926, 111654, 102800, 19732, 78698, 105262, 24273, 29295, 59614, 101860, 111419, 9039, 15682, 48706, 127145, 9174, 39880, 106384, 37823, 76739, 25197, 102514, 120332, 15682, 5486, 108008, 20230, 63879, 20230, 50520, 111, 102800, 24273, 32977, 16325, 102052, 16995, 33503, 42891, 116826, 30369, 105879, 110371, 24273, 105459, 29295, 91774, 28713, 110018, 105352, 15024, 29630, 103351, 33503, 5486, 101307, 116974, 103359, 47523, 55031, 48915, 107001, 125396, 107407, 16144, 38641, 9174, 32977, 43514, 85791, 25827, 5486, 50021, 106483, 116974, 15682, 103188, 21403, 108, 120650, 30297, 19732, 22398, 80805, 91062, 77181, 57903, 33541, 29295, 5486, 101182, 113314, 16906, 111, 102647, 39926, 102532, 5486, 9039, 32977, 77693, 108680, 43240, 115737, 118145, 5486, 8239, 114503, 109904, 103359, 105226, 115717, 33541, 9174, 58426, 103846, 5486, 102404, 116974, 30512, 117119, 72661, 32149, 25827, 72661, 29630, 20230, 107001, 24273, 32977, 16995, 33503, 42891, 116826, 31431, 33541, 29295, 5486, 108608, 48249, 31431, 67, 1073, 1573, 20230, 56051, 118881, 29295, 126521, 19732, 78698, 107290, 61689, 9174, 14711, 114163, 116229, 16144, 126362, 122481, 126694, 13153, 198, 60868, 112164, 11972, 108695, 55031, 101307, 116974, 29295, 111654, 21105, 239, 104984, 5486, 103927, 103202, 122481, 126694, 30369, 110115, 109431, 56051, 111999, 122258, 60868, 112164, 38248, 226, 104603, 68581, 32131, 37823, 38248, 113, 78983, 55031, 127303, 104984, 6109, 68408, 126590, 19967, 13153, 16144, 124122, 104603, 68581, 32131, 37823, 38248, 113, 78983, 126694, 13153, 78434, 9174, 17905, 61304, 15682, 122617, 124720, 122481, 119627, 5486, 115143, 102052, 5486, 17905, 61304, 103378, 118816, 114715, 102750, 47307, 102769, 33121, 29295, 102404, 21990, 15024, 126172, 16995, 105879, 5486, 19361, 13372, 26854, 103927, 103202, 122481, 16144, 126362, 77219, 104309, 32977, 8239, 114503, 30512, 102404, 127327, 78434, 9174, 27452, 116285, 5486, 125559, 63879, 108134, 52884, 77750, 16556, 37656, 102800, 53283, 109375, 30512, 48864, 104369, 71289, 66953, 78525, 34048, 15682, 63879, 16325, 104297, 30046, 107898, 125683, 62004, 123160, 77219, 126694, 13153, 15024, 5486, 103424, 105284, 26854, 116229, 103195, 25580, 29172, 15682, 57903, 33541, 29295, 5486, 102159, 103283, 20230, 111234, 52884, 122481, 126694, 13153, 78434, 9174, 80539, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 103792, 103927, 103202, 122481, 117758, 112167, 101275, 30512, 75293, 59739, 106592, 33334, 125683, 62004, 78434, 9174, 103350, 104983, 20230, 5486, 13870, 232, 61337, 77181, 85701, 120577, 103359, 105226, 16556, 5486, 9953, 20230, 19, 11, 20, 22656, 108680, 119627, 5486, 101307, 116974, 30512, 39926, 120700, 107515, 32149, 11571, 19732, 89046, 117139, 30512, 16995, 90620, 16995, 100481, 38144, 106116, 16325, 72661, 103424, 105284, 26854, 103927, 103202, 122481, 20230, 119379, 39926, 23039, 76947, 61689, 9174, 32977, 43514, 85791, 25827, 5486, 102404, 116974, 103378, 117824, 30297, 16144, 126194, 5486, 50021, 106483, 116974, 32977, 33334, 124730, 39926, 5486, 103424, 105284, 26854, 103927, 103202, 122481, 19732, 58426, 50021, 106483, 116974, 30512, 122635, 127145, 9174, 90620, 15024, 106116, 104983, 102052, 5486, 9039, 29295, 115079, 58942, 120195, 30369, 104468, 109606, 108176, 105879, 5486, 103350, 104983, 20230, 18, 11, 19, 8107, 23039, 76947 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 108941, 107446, 16556, 102895, 11972, 30512, 126233, 62004, 47884, 47884, 31431, 33541, 9174, 122571, 121410, 8107, 51330, 102895, 11972, 117824, 16995, 5486, 121410, 8107, 103283, 16144, 66953, 102860, 20230, 102446, 116340, 120837, 110706, 79721, 1811, 66953, 102860, 15682, 96452, 103223, 102803, 52884, 16144, 114172, 102512, 125030, 76947, 107693, 26854, 66953, 102860, 108176, 123253, 1811, 128001, 128000, 12, 122973, 65854, 198, 12, 220, 2366, 17, 13, 2705, 13, 2371, 198, 2, 53606, 232, 61337, 16144, 101307, 116974, 112167, 101275, 104926, 103927, 103202, 122481, 114835, 39177, 55031, 78698, 105262, 198, 103927, 103202, 122481, 30512, 114835, 127564, 5486, 101307, 116974, 15682, 108008, 20230, 27384, 102769, 38641, 9174, 90620, 110371, 101307, 116974, 15682, 126920, 102040, 65575, 33710, 29295, 45736, 115737, 76947, 102532, 5486, 112599, 16144, 41758, 38248, 108, 33710, 71289, 104930, 52591, 11972, 127359, 25197, 110305, 102741, 112508, 16144, 91482, 94550, 104309, 15682, 5486, 105284, 29295, 103167, 16995, 101307, 116974, 30512, 43568, 103984, 39926, 50834, 33541, 9174, 80539, 51330, 105284, 16144, 103167, 16995, 19732, 112844, 104468, 5486, 107188, 111331, 105184, 96455, 16556, 37026, 102446, 29295, 96412, 17129, 104028, 101200, 110276, 19732, 112391, 33541, 9174, 58426, 103846, 5486, 13870, 232, 61337, 77181, 126920, 30590, 103868, 26854, 112415, 77181, 57903, 33541, 29295, 5486, 101307, 116974, 112167, 101275, 117824, 76947, 102532, 5486, 16, 8107, 16556, 9039, 22656, 15682, 122635, 29295, 103082, 127280, 9174, 77181, 5486, 118789, 112535, 67645, 120950, 101307, 116974, 112167, 101275, 117824, 103836, 32149, 30512, 48154, 126362, 78434, 9174, 103927, 103202, 122481, 30512, 114835, 39177, 55031, 111800, 118219, 54926, 118733, 5486, 114715, 72661, 43240, 119064, 101307, 116974, 29295, 122635, 88367, 38641, 9174, 567, 40003, 242, 23039, 106358, 103359, 105226, 107118, 198, 126843, 5486, 101307, 116974, 112167, 101275, 30512, 48154, 126362, 54926, 112772, 5486, 13870, 232, 61337, 29295, 11881, 242, 23039, 76947, 102532, 5486, 15, 77181, 57903, 105823, 104127, 56051, 29295, 5486, 102717, 19732, 124592, 122635, 103082, 104435, 103359, 105226, 25333, 30512, 48154, 126362, 78434, 9174, 14711, 119019, 105284, 26854, 47260, 108304, 119495, 19967, 13153, 15682, 103768, 29295, 119448, 16995, 198, 126843, 5486, 101307, 116974, 29295, 122635, 108608, 47260, 108304, 119495, 30512, 111800, 118219, 112990, 5486, 103424, 105284, 26854, 111234, 52884, 122481, 126694, 13153, 54926, 100909, 19732, 112844, 112973, 108936, 9554, 103195, 106046, 61689, 9174, 80673, 5486, 103350, 104983, 20230, 13870, 232, 61337, 16144, 103927, 103202, 122481, 114835, 103350, 116486, 16144, 43240, 47884, 29295, 5486, 16, 13372, 5486, 43240, 47884, 111243, 17, 13372, 33014, 44416, 16556, 116229, 103768, 112167, 117824, 78183, 115032, 16144, 119627, 5486, 107943, 20230, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 108608, 123253, 32149, 95532, 103350, 104983, 20230, 13870, 232, 61337, 32977, 5486, 11881, 242, 15682, 103424, 105284, 26854, 47260, 108304, 119495, 19967, 13153, 117824, 76947, 101307, 116974, 30512, 122635, 119607, 19732, 121837, 107113, 113146, 32977, 57903, 79721, 9174, 32977, 43514, 85791, 25827, 5486, 122635, 22656, 9039, 15682, 15, 111769, 119627, 5486, 112599, 16144, 112167, 101275, 112415, 19732, 57106, 103854, 104533, 5486, 126920, 50034, 104680, 28713, 30369, 102944, 16556, 5486, 16, 116033, 16, 22656, 122635, 120264, 16144, 99695, 61398, 117084, 61689, 9174, 53900, 115143, 102052, 5486, 105994, 107809, 16556, 5486, 38093, 64209, 16144, 106084, 106046, 100472, 122481, 20230, 47000, 32149, 101860, 5486, 116900, 20230, 51330, 122481, 15682, 102181, 47884, 112973, 111108, 67016, 100472, 82530, 5486, 106046, 100472, 122481, 20230, 47000, 102334, 31431, 109768, 79721, 9174, 51330, 104466, 5486, 67645, 103171, 20230, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 15024, 106307, 107441, 32977, 5486, 103350, 15682, 122635, 108608, 32149, 15682, 103768, 33671, 30537, 117084, 61689, 9174, 32977, 43514, 85791, 25827, 5486, 103768, 19732, 78244, 114598, 5486, 105284, 29295, 103167, 16995, 122481, 30512, 33857, 106518, 109768, 104533, 5486, 115924, 103359, 20230, 15, 119627, 5486, 105284, 29295, 126574, 47260, 108304, 119495, 19967, 13153, 117824, 16995, 106307, 76622, 100481, 104984, 5486, 115924, 103359, 20230, 15, 19732, 112844, 109335, 100604, 105879, 121906, 95604, 115552, 77181, 8239, 114503, 9554, 38641, 9174, 14711, 105864, 103, 99397, 30046, 29295, 37507, 100604, 19732, 101307, 116974, 15682, 122635, 118765, 198, 122270, 5486, 103350, 104983, 20230, 13870, 232, 61337, 29295, 23039, 76947, 102532, 91763, 100472, 109335, 5486, 67645, 103171, 20230, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 15024, 106307, 76622, 100481, 111243, 5486, 120824, 99397, 30046, 29295, 37507, 123207, 101307, 116974, 29295, 122635, 103082, 26854, 102677, 28542, 115991, 33541, 9174, 51330, 120824, 99397, 112919, 43167, 65854, 121960, 15682, 5486, 43240, 47884, 126362, 110731, 112973, 102741, 38248, 115, 68581, 33710, 39850, 125380, 16144, 107740, 19732, 63879, 117084, 61689, 9174, 126843, 5486, 102741, 38248, 115, 68581, 33710, 39850, 125380, 16144, 107740, 119627, 5486, 13870, 232, 61337, 32977, 89151, 119063, 120650, 106358, 39177, 23538, 115991, 33541, 9174, 58426, 110018, 16144, 8239, 114503, 103306, 15682, 5486, 105184, 111201, 102741, 38248, 115, 68581, 33710, 39850, 125380, 117758, 89753, 17701, 29295, 16, 117816, 1490, 17792, 113314, 101983, 106358, 105879, 5486, 120824, 99397, 112919, 122635, 15682, 103082, 100481, 79721, 9174, 80673, 108948, 99397, 16995, 114146, 9039, 15682, 16, 113746, 16556, 17, 11, 18, 22656, 5486, 122270, 101307, 116974, 109853, 15682, 5486, 125821, 116292, 33565, 101, 16556, 15, 125845, 16, 101983, 107462, 79721, 9174, 32977, 43514, 85791, 25827, 5486, 95001, 112603, 16144, 126574, 103927, 103202, 122481, 55031, 101307, 116974, 127303, 104984, 112160, 95221, 20230, 111800, 52084, 110480, 25129, 29295, 115442, 31431, 33541, 29295, 108048, 108680, 126574, 95001, 112603, 111769, 103927, 103202, 122481, 55031, 29295, 27384, 103268, 103351, 105879, 5486, 111800, 52084, 110480, 25129, 15682, 91875, 50834, 105823, 104127, 56051, 9174, 53900, 5486, 9039, 32977, 16, 8107, 16556, 91774, 111243, 43240, 47884, 38144, 21, 22656, 25580, 74482, 117084, 102532, 5486, 16, 8107, 106307, 76622, 79721, 29295, 5486, 111800, 52084, 110480, 25129, 20230, 117375, 119703, 19732, 121355, 107436, 103801, 16995, 79721, 9174, 80539, 33671, 20230, 63879, 117084, 109749, 16144, 119627, 110371, 63879, 15682, 5486, 105184, 111201, 41758, 38248, 108, 33710, 118148, 47884, 5486, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 109768, 104984, 115442, 104533, 119852, 61689, 9174, 80673, 5486, 13870, 232, 61337, 16144, 103927, 103202, 122481, 114835, 103350, 116486, 16144, 108695, 71289, 13870, 232, 61337, 116229, 114447, 48249, 31431, 5486, 103424, 105284, 26854, 47260, 108304, 119495, 19967, 13153, 30512, 37689, 109375, 54926, 126036, 63879, 30512, 37689, 109375, 54926, 24273, 29295, 27384, 102769, 38641, 9174, 80539, 110371, 17, 28542, 30512, 37689, 109375, 39926, 5486, 16, 11, 17, 122481, 19967, 13153, 120837, 8239, 114503, 15682, 20834, 107515, 29295, 5486, 32977, 43514, 85791, 25827, 17905, 25129, 52563, 30512, 101462, 247, 30297, 62903, 25005, 107, 65575, 105352, 105755, 33541, 29295, 5486, 1041, 122481, 15682, 19967, 13153, 21105, 103, 47884, 38144, 112987, 76622, 107515, 9174, 110924, 16556, 85707, 107436, 5486, 17297, 114050, 122481, 29295, 17905, 25129, 52563, 107001, 101200, 115717, 5486, 120550, 104984, 5486, 122635, 125545, 29295, 5486, 103350, 104983, 20230, 47260, 108304, 119495, 16144, 105284, 23897, 112772, 116229, 51107, 57933, 108941, 20230, 119448, 47884, 117375, 116216, 61689, 9174, 58426, 103846, 5486, 101307, 116974, 30512, 122635, 39926, 63879, 8239, 114503, 30512, 45736, 62004, 106956, 110115, 5486, 122635, 54926, 113009, 104735, 101, 27384, 26854, 33857, 16144, 116229, 103768, 112167, 117824, 30297, 104468, 126120, 96455, 29295, 109161, 16995, 19732, 113727, 103283, 16144, 41007, 30512, 91763, 52084, 121256, 9174, 567, 123070, 116974, 56051, 16995, 106046, 114598, 33503, 30297, 47260, 108304, 119495, 19967, 13153, 198, 103350, 104983, 20230, 13870, 232, 61337, 77181, 5486, 110924, 103296, 108947, 102404, 109904, 9039, 77181, 124897, 29295, 5486, 112599, 15682, 23187, 23538, 112535, 101307, 116974, 29295, 122635, 103082, 127280, 9174, 77181, 5486, 67645, 119775, 39926, 122635, 108608, 101200, 110276, 32149, 30512, 48154, 126362, 78434, 9174, 14711, 26029, 19732, 108152, 38248, 114, 115247, 124122, 122481, 19967, 13153, 198, 108729, 109904, 102923, 105226, 15682, 5486, 105335, 26269, 52591, 52884, 77750, 20230, 17039, 106045, 122481, 19967, 13153, 115717, 33541, 9174, 90620, 15024, 106116, 104983, 102052, 5486, 101307, 116974, 16144, 122635, 126194, 88852, 16144, 106592, 78698, 107290, 61689, 9174, 12, 21370, 99, 38248, 114, 11972, 29295, 98499, 64121, 126172, 47884, 113954, 15024, 126172, 16995, 198, 12, 26029, 30512, 37689, 109375, 56051, 102803, 103906, 94550, 198, 12, 220, 115240, 15682, 108608, 48249, 31431, 33655, 78183, 100604, 198, 13870, 232, 61337, 29295, 23039, 100472, 104468, 5486, 108729, 9554, 102052, 108152, 38248, 114, 11972, 29295, 98499, 64121, 126172, 47884, 19361, 105576, 103195, 111234, 52884, 122481, 16144, 19967, 13153, 38641, 9174, 90620, 15024, 5486, 108152, 38248, 114, 11972, 103378, 126194, 5486, 63879, 15682, 32977, 43514, 85791, 25827, 37689, 109375, 127145, 9174, 53900, 5486, 115240, 109853, 15682, 5486, 101275, 104091, 113468, 15682, 5486, 115240, 30512, 105104, 102189, 25827, 20230, 107740, 56051, 24273, 29295, 105465, 20230, 51107, 29295, 125545, 29295, 5486, 13870, 232, 61337, 16144, 105335, 26269, 52591, 52884, 77750, 77181, 115240, 19967, 13153, 82973, 29295, 32977, 100472, 16995, 100604, 105879, 5486, 110993, 48634, 107740, 103801, 72342, 25827, 9174, 80539, 114626, 20230, 5486, 101307, 116974, 30512, 78698, 107800, 53229, 83932, 19967, 13153, 15682, 126920, 82973, 29295, 32149, 117295, 105879, 5486, 111234, 52884, 122481, 126694, 13153, 54926, 104983, 102052, 5486, 108729, 9554, 102052, 113727, 107515, 9174, 13870, 232, 61337, 116229, 15682, 110371, 19967, 101275, 112212, 5486, 8107, 56965, 16556, 9039, 22656, 119627, 122635, 108608, 101200, 117084, 61689, 9174, 14711, 656, 19070, 30512, 21105, 96, 107277, 19732, 23039, 30297, 198, 80539, 112160, 34048, 29630, 117084, 103801, 76947, 61689, 29295, 5486, 108729, 9554, 102052, 102404, 116974, 15682, 67, 1073, 1573, 116446, 61689, 9174, 32977, 43514, 85791, 25827, 5486, 112599, 29630, 16144, 111234, 52884, 122481, 32977, 5486, 37823, 119744, 16144, 104983, 102052, 67, 1073, 1573, 124259, 122489, 78434, 9174, 26854, 112371, 32149, 19732, 112844, 19732, 115132, 106384, 37823, 76739, 25197, 102514, 29295, 103768, 112167, 54926, 103927, 103202, 122481, 55031, 29295, 39850, 76171, 16556, 101462, 247, 30297, 125231, 118816, 113727, 100481, 38144, 5486, 29630, 16144, 102404, 116974, 117824, 107462, 104533, 122635, 101513, 38093, 30512, 21388, 61689, 9174, 39880, 106384, 37823, 76739, 25197, 102514, 105352, 105755, 33541, 29295, 5486, 72342, 42891, 32149, 47884, 105994, 29295, 23039, 30297, 105879, 30591, 104984, 5486, 105994, 32977, 101307, 116974, 39926, 111654, 102800, 19732, 78698, 105262, 24273, 29295, 59614, 101860, 111419, 9039, 15682, 48706, 127145, 9174, 39880, 106384, 37823, 76739, 25197, 102514, 120332, 15682, 5486, 108008, 20230, 63879, 20230, 50520, 111, 102800, 24273, 32977, 16325, 102052, 16995, 33503, 42891, 116826, 30369, 105879, 110371, 24273, 105459, 29295, 91774, 28713, 110018, 105352, 15024, 29630, 103351, 33503, 5486, 101307, 116974, 103359, 47523, 55031, 48915, 107001, 125396, 107407, 16144, 38641, 9174, 32977, 43514, 85791, 25827, 5486, 50021, 106483, 116974, 15682, 103188, 21403, 108, 120650, 30297, 19732, 22398, 80805, 91062, 77181, 57903, 33541, 29295, 5486, 101182, 113314, 16906, 111, 102647, 39926, 102532, 5486, 9039, 32977, 77693, 108680, 43240, 115737, 118145, 5486, 8239, 114503, 109904, 103359, 105226, 115717, 33541, 9174, 58426, 103846, 5486, 102404, 116974, 30512, 117119, 72661, 32149, 25827, 72661, 29630, 20230, 107001, 24273, 32977, 16995, 33503, 42891, 116826, 31431, 33541, 29295, 5486, 108608, 48249, 31431, 67, 1073, 1573, 20230, 56051, 118881, 29295, 126521, 19732, 78698, 107290, 61689, 9174, 14711, 114163, 116229, 16144, 126362, 122481, 126694, 13153, 198, 60868, 112164, 11972, 108695, 55031, 101307, 116974, 29295, 111654, 21105, 239, 104984, 5486, 103927, 103202, 122481, 126694, 30369, 110115, 109431, 56051, 111999, 122258, 60868, 112164, 38248, 226, 104603, 68581, 32131, 37823, 38248, 113, 78983, 55031, 127303, 104984, 6109, 68408, 126590, 19967, 13153, 16144, 124122, 104603, 68581, 32131, 37823, 38248, 113, 78983, 126694, 13153, 78434, 9174, 17905, 61304, 15682, 122617, 124720, 122481, 119627, 5486, 115143, 102052, 5486, 17905, 61304, 103378, 118816, 114715, 102750, 47307, 102769, 33121, 29295, 102404, 21990, 15024, 126172, 16995, 105879, 5486, 19361, 13372, 26854, 103927, 103202, 122481, 16144, 126362, 77219, 104309, 32977, 8239, 114503, 30512, 102404, 127327, 78434, 9174, 27452, 116285, 5486, 125559, 63879, 108134, 52884, 77750, 16556, 37656, 102800, 53283, 109375, 30512, 48864, 104369, 71289, 66953, 78525, 34048, 15682, 63879, 16325, 104297, 30046, 107898, 125683, 62004, 123160, 77219, 126694, 13153, 15024, 5486, 103424, 105284, 26854, 116229, 103195, 25580, 29172, 15682, 57903, 33541, 29295, 5486, 102159, 103283, 20230, 111234, 52884, 122481, 126694, 13153, 78434, 9174, 80539, 103424, 105284, 26854, 47260, 108304, 119495, 126694, 13153, 103792, 103927, 103202, 122481, 117758, 112167, 101275, 30512, 75293, 59739, 106592, 33334, 125683, 62004, 78434, 9174, 103350, 104983, 20230, 5486, 13870, 232, 61337, 77181, 85701, 120577, 103359, 105226, 16556, 5486, 9953, 20230, 19, 11, 20, 22656, 108680, 119627, 5486, 101307, 116974, 30512, 39926, 120700, 107515, 32149, 11571, 19732, 89046, 117139, 30512, 16995, 90620, 16995, 100481, 38144, 106116, 16325, 72661, 103424, 105284, 26854, 103927, 103202, 122481, 20230, 119379, 39926, 23039, 76947, 61689, 9174, 32977, 43514, 85791, 25827, 5486, 102404, 116974, 103378, 117824, 30297, 16144, 126194, 5486, 50021, 106483, 116974, 32977, 33334, 124730, 39926, 5486, 103424, 105284, 26854, 103927, 103202, 122481, 19732, 58426, 50021, 106483, 116974, 30512, 122635, 127145, 9174, 90620, 15024, 106116, 104983, 102052, 5486, 9039, 29295, 115079, 58942, 120195, 30369, 104468, 109606, 108176, 105879, 5486, 103350, 104983, 20230, 18, 11, 19, 8107, 23039, 76947 ]
[ 61689, 29295, 5486, 50021, 106483, 116974, 22656, 9039, 15682, 17, 11, 18, 22656, 117084, 61689, 9174, 14711, 120795, 38248, 115, 68581, 33710, 39850, 125380, 16556, 87177, 104482, 30512, 77219, 33208, 198, 80539, 114626, 20230, 5486, 111234, 52884, 122481, 126694, 13153, 54926, 104983, 20230, 5486, 114284, 114308, 16556, 23039, 30297, 16144, 126194, 5486, 102741, 38248, 115, 68581, 33710, 39850, 125380, 16556, 104873, 112984, 30512, 127145, 9174, 27452, 116285, 5486, 13870, 232, 61337, 29295, 125821, 32977, 19653, 56051, 30926, 27452, 15682, 5486, 111800, 20834, 482, 105729, 111670, 107840, 39442, 125104, 16144, 103359, 105226, 25333, 16144, 122481, 38641, 9174, 117896, 16144, 122481, 15682, 5486, 41758, 38248, 108, 33710, 60868, 113335, 109713, 102741, 64178, 20230, 111800, 20834, 482, 105729, 111670, 107840, 39442, 125104, 29295, 122333, 102404, 21990, 56051, 104983, 20230, 19967, 13153, 56051, 77219, 38641, 9174, 103350, 104983, 20230, 5486, 2366, 15, 8107, 48154, 85791, 103351, 106046, 61689, 29295, 106116, 39177, 102052, 108008, 20230, 103223, 25197, 26269, 102514, 17905, 16556, 87177, 104482, 101983, 107462, 79721, 9174, 58426, 103846, 5486, 13870, 232, 61337, 77181, 5486, 37026, 61337, 116229, 32943, 20230, 110371, 102750, 47307, 30512, 77219, 20230, 119607, 19732, 78698, 107290, 5486, 17, 11, 931, 88435, 120264, 16144, 77219, 30512, 105047, 105557, 19967, 13153, 102334, 121256, 9174, 27384, 33014, 16144, 19967, 13153, 82973, 15682, 16, 82973, 113314, 103351, 106046, 61689, 9174, 80539, 5486, 19967, 13153, 29295, 105721, 78183, 100472, 74482, 5486, 103223, 25197, 26269, 102514, 16556, 111800, 20834, 482, 105729, 111670, 107840, 39442, 125104, 16144, 23226, 106594, 25333, 30512, 102181, 102334, 105879, 91774, 38144, 72315, 19732, 127849, 71289, 102334, 16144, 38641, 9174, 32977, 43514, 85791, 25827, 5486, 3222, 103378, 126194, 5486, 80172, 83932, 16144, 104983, 16144, 17161, 78244, 32977, 21105, 96, 107277, 19732, 5486, 103223, 25197, 26269, 102514, 17905, 113245, 111800, 52084, 30512, 37689, 109375, 127145, 9174, 58426, 113702, 5486, 16, 117816, 1041, 17792, 25580, 74482, 29295, 120824, 104028, 101200, 115717, 5486, 112599, 77181, 120175, 100815, 102532, 61689, 29295, 5486, 126920, 43240, 119064, 91774, 121423, 14167, 100, 65854, 30512, 43167, 65854, 103082, 79721, 9174, 80539, 104405, 95604, 113334, 32149, 5486, 103223, 25197, 26269, 102514, 16556, 51330, 103927, 103202, 122481, 29295, 103424, 102518, 19732, 126362, 9039, 29295, 115079, 58942, 104533, 5486, 111800, 52084, 110480, 25129, 32977, 115442, 107462, 50834, 5486, 107188, 31431, 25580, 55031, 111800, 20834, 482, 105729, 111670, 107840, 39442, 125104, 16556, 16, 25129, 52563, 84389, 106307, 107441, 61689, 9174, 16, 25129, 52563, 84389, 104533, 5486, 87177, 104482, 16144, 102750, 47307, 103195, 103846, 110745, 33857, 16144, 101307, 116974, 29295, 122635, 108608, 101200, 117084, 102532, 115132, 106384, 37823, 76739, 25197, 102514, 55031, 71289, 17943, 111800, 52084, 108768, 33710, 57326, 55031, 32977, 101307, 116974, 30512, 122635, 127145, 9174, 567, 119041, 31431, 40862, 117714, 108695, 20230, 103963, 117943, 198, 114626, 120650, 100472, 103359, 105226, 103306, 5486, 75293, 43514, 111769, 119627, 5486, 53283, 31431, 40862, 117714, 108695, 20230, 101307, 116974, 30512, 103963, 117943, 121256, 9174, 51330, 110018, 20230, 5486, 103082, 104984, 42016, 101275, 43511, 61337, 29295, 126521, 119627, 5486, 13870, 232, 61337, 77181, 77693, 108680, 16144, 9039, 15682, 23039, 107462, 100604, 105879, 5486, 111017, 40862, 103306, 15682, 108901, 101275, 104091, 55031, 508, 22656, 5486, 42016, 101275, 43511, 61337, 55031, 16, 22656, 117084, 61689, 9174, 108901, 101275, 104091, 117758, 101307, 116974, 15682, 5486, 27929, 32977, 27929, 102944, 103927, 103202, 122481, 16144, 57933, 108941, 29295, 108010, 30297, 105879, 5486, 8239, 114503, 119703, 106046, 126832, 105908, 108936, 9554, 38641, 9174, 13870, 232, 61337, 29295, 103350, 104983, 120650, 76947, 64121, 38144, 112391, 28713, 109335, 5486, 108901, 101275, 104091, 115287, 103306, 32977, 5486, 88852, 33710, 64178, 30813, 58942, 106154, 107462, 104984, 109606, 124897, 9174, 12, 26029, 107624, 95001, 29295, 126574, 103927, 103202, 122481, 55031, 198, 12, 111707, 78349, 52884, 122481, 16144, 57933, 108941, 15682, 103927, 103202, 122481, 114835, 20230, 198, 12, 106773, 78983, 103768, 112167, 30512, 32335, 103167, 111299, 16, 15682, 103792, 198, 12, 21370, 99, 38248, 114, 11972, 95001, 112603, 16144, 126574, 111234, 52884, 122481, 19967, 13153, 198, 32977, 43514, 85791, 25827, 5486, 107850, 109526, 235, 112535, 111800, 52084, 110480, 25129, 15682, 115442, 31431, 105823, 104127, 56051, 29295, 5486, 80673, 101307, 116974, 30512, 109768, 90620, 102334, 74482, 5486, 100783, 102, 71289, 111201, 111800, 52084, 110480, 25129, 29295, 115442, 103836, 105879, 5486, 109755, 124749, 8239, 114503, 107407, 106046, 61689, 9174, 116900, 20230, 5486, 84851, 108867, 77181, 57903, 33541, 29295, 5486, 42016, 101275, 43511, 61337, 77181, 5486, 63879, 117824, 107462, 100604, 103927, 103202, 122481, 103195, 103846, 5486, 42016, 101275, 43511, 61337, 72661, 116229, 103768, 112167, 109768, 100604, 71289, 63879, 107624, 95001, 29295, 103167, 16995, 19732, 95001, 112603, 119703, 106046, 61689, 9174, 567, 112697, 103202, 122481, 30512, 114835, 127564, 8107, 56965, 605, 22656, 30512, 30832, 64467, 102131, 198, 17905, 61304, 29295, 13870, 232, 61337, 16144, 112167, 101275, 25333, 115717, 33541, 9174, 103350, 104983, 20230, 5486, 101307, 116974, 30512, 37689, 109375, 103801, 47884, 106358, 11881, 242, 19732, 57106, 103854, 104533, 107188, 31431, 19967, 101275, 29295, 105465, 115717, 79721, 9174, 80539, 5486, 40265, 39177, 126036, 122635, 108608, 101200, 110276, 105879, 5486, 13870, 232, 61337, 19967, 101275, 33857, 103306, 15682, 119448, 47884, 21403, 232, 114485, 103082, 5486, 115143, 102052, 8239, 114503, 32977, 102404, 127327, 127145, 9174, 108729, 9554, 102052, 103424, 105284, 26854, 47260, 108304, 119495, 107118, 5486, 101307, 116974, 16144, 122635, 30512, 101462, 247, 30297, 109215, 15682, 124897, 29295, 5486, 90620, 15024, 106116, 111234, 52884, 122481, 16144, 57933, 108941, 30512, 78698, 105262, 109215, 15682, 101182, 106046, 61689, 9174, 80539, 57933, 108941, 29295, 21105, 96, 107277, 19732, 108152, 38248, 114, 118928, 106240, 19732, 40862, 105260, 109768, 104984, 5486, 122635, 101513, 38093, 29295, 50928, 33121, 5486, 110924, 55031, 103350, 104983, 20230, 107001, 32149, 15682, 5486, 108152, 38248, 114, 11972, 30832, 101911, 16144, 47260, 108304, 119495, 19967, 13153, 48634, 101983, 104533, 91763, 61689, 9174, 112599, 5486, 101307, 116974, 30512, 115079, 71289, 56051, 16995, 26854, 19732, 33334, 113727, 120332, 15682, 5486, 112371, 104328, 127637, 17905, 61304, 30512, 106081, 39926, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 43514, 26854, 64121, 20230, 119627, 110371, 19967, 101275, 15682, 103927, 103202, 122481, 114835, 103350, 116486, 16144, 108695, 118969, 102052, 29172, 81742, 127145, 29295, 5486, 122617, 16144, 108695, 29295, 23039, 76947, 124089, 102944, 77181, 124897, 9174, 58426, 103846, 5486, 23039, 107462, 90620, 124324, 108695, 102052, 5486, 48915, 34048, 116974, 116229, 16144, 126362, 30512, 127145, 9174, 101307, 116974, 30512, 104405, 43167, 109315, 32149, 15682, 5486, 114284, 114308, 126194, 5486, 103927, 103202, 122481, 30512, 114835, 54926, 104983, 55031, 21105, 96, 107277, 19732, 78698, 107290, 33334, 119064, 126130, 125683, 62004, 78434, 1811, 128001, 128000, 17039, 124305, 5486, 121355, 109013, 1811, 103856, 23538, 106627, 107430, 117758, 37823, 102832, 123581, 81258, 76706, 6447, 11144, 81258, 107430, 20230, 19361, 60632, 26854, 103087, 35083, 15682, 18049, 118, 66953, 37823, 41832, 107, 41832, 107, 41832, 107, 6447, 112479, 2366, 15, 8107, 2371, 9953, 1721, 9080, 198, 21105, 242, 110792, 45893, 15024, 30369, 103854, 104817, 43167, 34048, 220, 17663, 16144, 22957, 38641, 9174, 44620, 104405, 39926, 108695, 30512, 121355, 109013, 104865, 5486, 76947, 28190, 30177, 16556, 104655, 32149, 103468, 33503, 114016, 103899, 107800, 33503, 104712, 112130, 36761, 102677, 50021, 111813, 15682, 19732, 111243, 127181, 38641, 9174, 85701, 15682, 105268, 16995, 17792, 20230, 48249, 121140, 117119, 97049, 72661, 101128, 102, 104004, 5486, 108436, 107430, 112919, 110482, 31431, 48154, 19732, 38641, 9174, 17129, 39926, 71289, 5486, 103856, 23538, 106627, 107430, 16144, 39880, 96452, 47307, 15682, 89783, 82420, 64209, 55487, 101983, 42891, 104702, 61689, 123794, 9174, 37271, 18904, 15682, 5486, 107943, 126101, 33655, 105262, 5486, 56906, 107430, 114667, 16144, 108044, 58942, 24273, 126130, 109948, 76622, 78434, 106609, 118935, 11883, 30046, 110366, 16556, 85701, 30512, 104655, 126660, 110229, 76947, 33334, 27929, 124749, 100604, 125651, 9174, 13177, 108618, 101275, 29295, 43240, 120195, 30369, 59712, 110698, 42506, 29295, 51385, 16995, 59712, 17905, 65743, 16144, 80805, 102756, 102040, 32131, 10646, 14382, 102083, 100472, 102750, 102472, 103906, 52884, 26854, 56906, 107430, 114667, 16144, 107803, 9174, 32, 11, 65299, 102741, 30512, 112844, 426, 11, 117475, 16144, 106592, 112844, 198, 67645, 120240, 29295, 37656, 102800, 121507, 36785, 106046, 61689, 32149, 95532, 110382, 15682, 111476, 33, 5486, 117475, 16144, 106592, 112844, 101961, 119899, 220, 125651, 6447, 43444, 104195, 47884, 64889, 78244, 23954, 65299, 102741, 116825, 50834, 106307, 105784, 104468, 114318, 111243, 111108, 87844, 27479, 16144, 126574, 100909, 38641, 9174, 67645, 103171, 65299, 102741, 116825, 102334, 32149, 108056, 19732, 112854, 58942, 100481, 38144, 5486, 59739, 100204, 59739, 17129, 30512, 114146, 103470, 38144, 112987, 76622, 107515, 55031, 9174, 9, 220, 107943, 32648, 11883, 26854, 105908, 108608, 30591, 112568, 105110, 21909, 40620, 118375, 102, 104127, 51330, 47260, 32131, 91062, 98499, 102189, 31431, 39926, 100604, 36785, 85791, 118647, 40620, 5736, 30813, 38144, 36896, 117475, 16144, 106592, 112844, 10646, 29295, 27384, 53229, 108630, 119627, 111476, 67645, 103171, 104346, 20230, 108044, 58942, 104984, 104712, 104865, 95532, 110382, 15682, 120065, 49792, 101908, 125001, 104533, 107404, 38641, 9174, 110382, 16556, 115303, 59739, 105284, 99397, 78434, 9174, 30591, 112568, 16144, 56906, 107430, 114667, 15682, 26854, 104127, 56051, 32149, 95532, 44597, 59739, 120264, 123680, 29295, 30369, 16144, 111769, 112130, 95532, 102677, 123017, 111476, 56906, 107430, 114667, 15682, 115303, 59739, 111769, 5486, 102677, 112973, 85701, 103296, 121771, 115867, 24273, 16144, 50021, 111813, 20230, 110498, 121118, 116882, 112919, 103350, 99750, 38641, 9174, 56906, 107430, 30512, 104662, 109013, 114626, 112028, 107666, 15682, 30591, 114598, 5486, 109242, 9039, 16144, 103826, 104680, 26854, 31634, 63212, 29295, 30358, 26854, 31431, 5486, 116537, 56906, 107430, 30512, 103350, 23039, 54926, 102944, 38641, 9174, 72661, 77693, 30512, 58426, 110674, 13177, 80805, 102756, 102040, 32131, 29295, 30591, 76947, 1981, 59712, 110101, 48552, 114435, 103351, 105879, 10646, 77181, 110745, 75694, 112043, 16556, 120007, 20230, 108044, 78183, 30369, 112690, 101983, 107462, 107515, 9174, 26854, 20230, 29295, 5486, 67645, 33121, 120264, 5486, 30512, 15682, 121381, 31431, 5486, 66378, 20230, 48785, 19113, 30512, 17701, 106824, 118789, 112535, 108044, 105262, 105908, 27384, 30926, 38641, 9174, 118789, 112535, 64531, 22649, 39926, 64121, 17129, 109954, 9174, 104712, 112130, 111476, 118789, 112535, 5486, 38641, 106609, 102131, 112990, 5486, 118935, 11883, 30046, 110366, 32977, 13177, 40265, 61337, 16144, 127749, 20230, 102867, 124949, 114146, 38144, 78698, 107290, 10646, 16556, 122225, 125545, 9174, 28713, 19732, 116285, 20713, 59739, 118322, 107803, 105110, 111476, 102083, 100472, 112391, 38641, 9174, 56906, 107430, 114667, 15682, 111476, 13177, 85701, 103378, 15682, 92148, 110, 110615, 117503, 101911, 113801, 30512, 15682, 121381, 31431, 108044, 105262, 120266, 115552, 115991, 33541, 9174, 61826, 108680, 123680, 102639, 28713, 5486, 121355, 109013, 114667, 107809, 16556, 111476, 13177, 198, 85701, 29295, 103721, 108, 31431, 104196, 107001, 104468, 115924, 103359, 20230, 115389, 1811, 115338, 16144, 108695, 32977, 102131, 103351, 33503, 5486, 119869, 55031, 16937, 118935, 11883, 117084, 102971, 106391, 66383, 95604, 104468, 67645, 33121, 112130, 95532, 66953, 102860, 29295, 13177, 127557, 34171, 16144, 121953, 10646, 16556, 5486, 113938, 50338, 107471, 78434, 123794, 109900, 19732, 112361, 105933, 100909, 38641, 9174, 92148, 110, 110615, 106592, 37046, 110020, 120837, 5486, 102971, 91077, 30297, 17129, 47884, 118544, 103470, 109020, 103378, 38641, 9174, 103856, 47884, 104662, 17129, 76947, 102717, 102800, 102677, 120208, 5486, 32977, 43514, 85791, 25827, 78183, 107277, 33541, 9174, 72661, 5486, 112361, 105908, 103721, 108, 31431, 104196, 84389, 100604, 117501, 32977, 27384, 30926, 38641, 123794, 9174, 109860, 112160, 102159, 103378, 9174, 115924, 103359, 20230, 106644, 101860, 110615, 120266, 104622, 61826, 110480, 25129, 116825, 107441, 111476, 13177, 118789, 109904, 56906, 107430, 114667, 117503, 83799, 16556, 108044, 107290, 23039, 50834, 17129, 109954, 9174, 13177, 72661, 5486, 28190, 30177, 16556, 108044, 58942, 104466, 32977, 5486, 102181, 104770, 102647, 78698, 30512, 126954, 21105, 103, 47884, 38144, 5486, 28190, 30177, 105352, 23039, 107441, 100604, 116233, 107493, 91006, 198, 102677, 30591, 112568, 121254, 107441, 5486, 33671, 18904, 19732, 76947, 33334, 50834, 57933, 29220, 122842, 30512, 48154, 126362, 78434, 106609, 11144, 17039, 124305, 121355, 109013, 1811, 103856, 23538, 106627, 107430, 112919, 124122, 37823, 102832, 123581, 81258, 76706, 11199, 124720, 15682, 117896, 55031, 198, 2, 16, 103241, 245, 110794, 104792, 115195, 117758, 103864, 16995, 115442, 31431, 24273, 198, 2, 17, 119001, 76706, 29295, 101544, 73686, 47884, 109161, 102676, 16144, 112690, 106609, 2, 18, 45631, 81258, 76706, 65299, 103223, 66383, 32149, 13177, 109134, 116499, 16556, 100604, 66383, 32149, 1981, 107943, 110018, 15682, 106609, 2, 19, 113168, 95, 107430, 103296, 16144, 106759, 103359, 105226, 6447, 40526, 30297, 30369, 65316, 107493, 5486, 35757, 112624, 20230, 103188, 48154, 17663, 113009, 198, 2, 20, 220, 67645, 16144, 117876, 9458, 32018, 17792, 30512, 102647, 102189, 33503, 104712, 16144, 11571, 30512, 78698, 105262, 112772, 125338, 33334, 47884, 125231, 100909, 198, 2, 22, 112972, 30177, 20230, 28713, 67645, 31431, 59739, 47884, 113009, 6447, 107430, 102781, 106613, 114172, 102181, 15682, 108895, 19967, 103950, 198, 2, 23, 111724, 106613, 111186, 16556, 123357, 107430, 15682, 111108, 102800, 6447, 95532, 2, 24, 119001, 107430, 20230, 19361, 60632, 26854, 103087, 35083, 15682, 18049, 118, 66953, 37823, 41832, 107, 41832, 107, 41832, 107, 106609, 47774 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 61689, 29295, 5486, 50021, 106483, 116974, 22656, 9039, 15682, 17, 11, 18, 22656, 117084, 61689, 9174, 14711, 120795, 38248, 115, 68581, 33710, 39850, 125380, 16556, 87177, 104482, 30512, 77219, 33208, 198, 80539, 114626, 20230, 5486, 111234, 52884, 122481, 126694, 13153, 54926, 104983, 20230, 5486, 114284, 114308, 16556, 23039, 30297, 16144, 126194, 5486, 102741, 38248, 115, 68581, 33710, 39850, 125380, 16556, 104873, 112984, 30512, 127145, 9174, 27452, 116285, 5486, 13870, 232, 61337, 29295, 125821, 32977, 19653, 56051, 30926, 27452, 15682, 5486, 111800, 20834, 482, 105729, 111670, 107840, 39442, 125104, 16144, 103359, 105226, 25333, 16144, 122481, 38641, 9174, 117896, 16144, 122481, 15682, 5486, 41758, 38248, 108, 33710, 60868, 113335, 109713, 102741, 64178, 20230, 111800, 20834, 482, 105729, 111670, 107840, 39442, 125104, 29295, 122333, 102404, 21990, 56051, 104983, 20230, 19967, 13153, 56051, 77219, 38641, 9174, 103350, 104983, 20230, 5486, 2366, 15, 8107, 48154, 85791, 103351, 106046, 61689, 29295, 106116, 39177, 102052, 108008, 20230, 103223, 25197, 26269, 102514, 17905, 16556, 87177, 104482, 101983, 107462, 79721, 9174, 58426, 103846, 5486, 13870, 232, 61337, 77181, 5486, 37026, 61337, 116229, 32943, 20230, 110371, 102750, 47307, 30512, 77219, 20230, 119607, 19732, 78698, 107290, 5486, 17, 11, 931, 88435, 120264, 16144, 77219, 30512, 105047, 105557, 19967, 13153, 102334, 121256, 9174, 27384, 33014, 16144, 19967, 13153, 82973, 15682, 16, 82973, 113314, 103351, 106046, 61689, 9174, 80539, 5486, 19967, 13153, 29295, 105721, 78183, 100472, 74482, 5486, 103223, 25197, 26269, 102514, 16556, 111800, 20834, 482, 105729, 111670, 107840, 39442, 125104, 16144, 23226, 106594, 25333, 30512, 102181, 102334, 105879, 91774, 38144, 72315, 19732, 127849, 71289, 102334, 16144, 38641, 9174, 32977, 43514, 85791, 25827, 5486, 3222, 103378, 126194, 5486, 80172, 83932, 16144, 104983, 16144, 17161, 78244, 32977, 21105, 96, 107277, 19732, 5486, 103223, 25197, 26269, 102514, 17905, 113245, 111800, 52084, 30512, 37689, 109375, 127145, 9174, 58426, 113702, 5486, 16, 117816, 1041, 17792, 25580, 74482, 29295, 120824, 104028, 101200, 115717, 5486, 112599, 77181, 120175, 100815, 102532, 61689, 29295, 5486, 126920, 43240, 119064, 91774, 121423, 14167, 100, 65854, 30512, 43167, 65854, 103082, 79721, 9174, 80539, 104405, 95604, 113334, 32149, 5486, 103223, 25197, 26269, 102514, 16556, 51330, 103927, 103202, 122481, 29295, 103424, 102518, 19732, 126362, 9039, 29295, 115079, 58942, 104533, 5486, 111800, 52084, 110480, 25129, 32977, 115442, 107462, 50834, 5486, 107188, 31431, 25580, 55031, 111800, 20834, 482, 105729, 111670, 107840, 39442, 125104, 16556, 16, 25129, 52563, 84389, 106307, 107441, 61689, 9174, 16, 25129, 52563, 84389, 104533, 5486, 87177, 104482, 16144, 102750, 47307, 103195, 103846, 110745, 33857, 16144, 101307, 116974, 29295, 122635, 108608, 101200, 117084, 102532, 115132, 106384, 37823, 76739, 25197, 102514, 55031, 71289, 17943, 111800, 52084, 108768, 33710, 57326, 55031, 32977, 101307, 116974, 30512, 122635, 127145, 9174, 567, 119041, 31431, 40862, 117714, 108695, 20230, 103963, 117943, 198, 114626, 120650, 100472, 103359, 105226, 103306, 5486, 75293, 43514, 111769, 119627, 5486, 53283, 31431, 40862, 117714, 108695, 20230, 101307, 116974, 30512, 103963, 117943, 121256, 9174, 51330, 110018, 20230, 5486, 103082, 104984, 42016, 101275, 43511, 61337, 29295, 126521, 119627, 5486, 13870, 232, 61337, 77181, 77693, 108680, 16144, 9039, 15682, 23039, 107462, 100604, 105879, 5486, 111017, 40862, 103306, 15682, 108901, 101275, 104091, 55031, 508, 22656, 5486, 42016, 101275, 43511, 61337, 55031, 16, 22656, 117084, 61689, 9174, 108901, 101275, 104091, 117758, 101307, 116974, 15682, 5486, 27929, 32977, 27929, 102944, 103927, 103202, 122481, 16144, 57933, 108941, 29295, 108010, 30297, 105879, 5486, 8239, 114503, 119703, 106046, 126832, 105908, 108936, 9554, 38641, 9174, 13870, 232, 61337, 29295, 103350, 104983, 120650, 76947, 64121, 38144, 112391, 28713, 109335, 5486, 108901, 101275, 104091, 115287, 103306, 32977, 5486, 88852, 33710, 64178, 30813, 58942, 106154, 107462, 104984, 109606, 124897, 9174, 12, 26029, 107624, 95001, 29295, 126574, 103927, 103202, 122481, 55031, 198, 12, 111707, 78349, 52884, 122481, 16144, 57933, 108941, 15682, 103927, 103202, 122481, 114835, 20230, 198, 12, 106773, 78983, 103768, 112167, 30512, 32335, 103167, 111299, 16, 15682, 103792, 198, 12, 21370, 99, 38248, 114, 11972, 95001, 112603, 16144, 126574, 111234, 52884, 122481, 19967, 13153, 198, 32977, 43514, 85791, 25827, 5486, 107850, 109526, 235, 112535, 111800, 52084, 110480, 25129, 15682, 115442, 31431, 105823, 104127, 56051, 29295, 5486, 80673, 101307, 116974, 30512, 109768, 90620, 102334, 74482, 5486, 100783, 102, 71289, 111201, 111800, 52084, 110480, 25129, 29295, 115442, 103836, 105879, 5486, 109755, 124749, 8239, 114503, 107407, 106046, 61689, 9174, 116900, 20230, 5486, 84851, 108867, 77181, 57903, 33541, 29295, 5486, 42016, 101275, 43511, 61337, 77181, 5486, 63879, 117824, 107462, 100604, 103927, 103202, 122481, 103195, 103846, 5486, 42016, 101275, 43511, 61337, 72661, 116229, 103768, 112167, 109768, 100604, 71289, 63879, 107624, 95001, 29295, 103167, 16995, 19732, 95001, 112603, 119703, 106046, 61689, 9174, 567, 112697, 103202, 122481, 30512, 114835, 127564, 8107, 56965, 605, 22656, 30512, 30832, 64467, 102131, 198, 17905, 61304, 29295, 13870, 232, 61337, 16144, 112167, 101275, 25333, 115717, 33541, 9174, 103350, 104983, 20230, 5486, 101307, 116974, 30512, 37689, 109375, 103801, 47884, 106358, 11881, 242, 19732, 57106, 103854, 104533, 107188, 31431, 19967, 101275, 29295, 105465, 115717, 79721, 9174, 80539, 5486, 40265, 39177, 126036, 122635, 108608, 101200, 110276, 105879, 5486, 13870, 232, 61337, 19967, 101275, 33857, 103306, 15682, 119448, 47884, 21403, 232, 114485, 103082, 5486, 115143, 102052, 8239, 114503, 32977, 102404, 127327, 127145, 9174, 108729, 9554, 102052, 103424, 105284, 26854, 47260, 108304, 119495, 107118, 5486, 101307, 116974, 16144, 122635, 30512, 101462, 247, 30297, 109215, 15682, 124897, 29295, 5486, 90620, 15024, 106116, 111234, 52884, 122481, 16144, 57933, 108941, 30512, 78698, 105262, 109215, 15682, 101182, 106046, 61689, 9174, 80539, 57933, 108941, 29295, 21105, 96, 107277, 19732, 108152, 38248, 114, 118928, 106240, 19732, 40862, 105260, 109768, 104984, 5486, 122635, 101513, 38093, 29295, 50928, 33121, 5486, 110924, 55031, 103350, 104983, 20230, 107001, 32149, 15682, 5486, 108152, 38248, 114, 11972, 30832, 101911, 16144, 47260, 108304, 119495, 19967, 13153, 48634, 101983, 104533, 91763, 61689, 9174, 112599, 5486, 101307, 116974, 30512, 115079, 71289, 56051, 16995, 26854, 19732, 33334, 113727, 120332, 15682, 5486, 112371, 104328, 127637, 17905, 61304, 30512, 106081, 39926, 64121, 38144, 112987, 32149, 29295, 123253, 32149, 9174, 43514, 26854, 64121, 20230, 119627, 110371, 19967, 101275, 15682, 103927, 103202, 122481, 114835, 103350, 116486, 16144, 108695, 118969, 102052, 29172, 81742, 127145, 29295, 5486, 122617, 16144, 108695, 29295, 23039, 76947, 124089, 102944, 77181, 124897, 9174, 58426, 103846, 5486, 23039, 107462, 90620, 124324, 108695, 102052, 5486, 48915, 34048, 116974, 116229, 16144, 126362, 30512, 127145, 9174, 101307, 116974, 30512, 104405, 43167, 109315, 32149, 15682, 5486, 114284, 114308, 126194, 5486, 103927, 103202, 122481, 30512, 114835, 54926, 104983, 55031, 21105, 96, 107277, 19732, 78698, 107290, 33334, 119064, 126130, 125683, 62004, 78434, 1811, 128001, 128000, 17039, 124305, 5486, 121355, 109013, 1811, 103856, 23538, 106627, 107430, 117758, 37823, 102832, 123581, 81258, 76706, 6447, 11144, 81258, 107430, 20230, 19361, 60632, 26854, 103087, 35083, 15682, 18049, 118, 66953, 37823, 41832, 107, 41832, 107, 41832, 107, 6447, 112479, 2366, 15, 8107, 2371, 9953, 1721, 9080, 198, 21105, 242, 110792, 45893, 15024, 30369, 103854, 104817, 43167, 34048, 220, 17663, 16144, 22957, 38641, 9174, 44620, 104405, 39926, 108695, 30512, 121355, 109013, 104865, 5486, 76947, 28190, 30177, 16556, 104655, 32149, 103468, 33503, 114016, 103899, 107800, 33503, 104712, 112130, 36761, 102677, 50021, 111813, 15682, 19732, 111243, 127181, 38641, 9174, 85701, 15682, 105268, 16995, 17792, 20230, 48249, 121140, 117119, 97049, 72661, 101128, 102, 104004, 5486, 108436, 107430, 112919, 110482, 31431, 48154, 19732, 38641, 9174, 17129, 39926, 71289, 5486, 103856, 23538, 106627, 107430, 16144, 39880, 96452, 47307, 15682, 89783, 82420, 64209, 55487, 101983, 42891, 104702, 61689, 123794, 9174, 37271, 18904, 15682, 5486, 107943, 126101, 33655, 105262, 5486, 56906, 107430, 114667, 16144, 108044, 58942, 24273, 126130, 109948, 76622, 78434, 106609, 118935, 11883, 30046, 110366, 16556, 85701, 30512, 104655, 126660, 110229, 76947, 33334, 27929, 124749, 100604, 125651, 9174, 13177, 108618, 101275, 29295, 43240, 120195, 30369, 59712, 110698, 42506, 29295, 51385, 16995, 59712, 17905, 65743, 16144, 80805, 102756, 102040, 32131, 10646, 14382, 102083, 100472, 102750, 102472, 103906, 52884, 26854, 56906, 107430, 114667, 16144, 107803, 9174, 32, 11, 65299, 102741, 30512, 112844, 426, 11, 117475, 16144, 106592, 112844, 198, 67645, 120240, 29295, 37656, 102800, 121507, 36785, 106046, 61689, 32149, 95532, 110382, 15682, 111476, 33, 5486, 117475, 16144, 106592, 112844, 101961, 119899, 220, 125651, 6447, 43444, 104195, 47884, 64889, 78244, 23954, 65299, 102741, 116825, 50834, 106307, 105784, 104468, 114318, 111243, 111108, 87844, 27479, 16144, 126574, 100909, 38641, 9174, 67645, 103171, 65299, 102741, 116825, 102334, 32149, 108056, 19732, 112854, 58942, 100481, 38144, 5486, 59739, 100204, 59739, 17129, 30512, 114146, 103470, 38144, 112987, 76622, 107515, 55031, 9174, 9, 220, 107943, 32648, 11883, 26854, 105908, 108608, 30591, 112568, 105110, 21909, 40620, 118375, 102, 104127, 51330, 47260, 32131, 91062, 98499, 102189, 31431, 39926, 100604, 36785, 85791, 118647, 40620, 5736, 30813, 38144, 36896, 117475, 16144, 106592, 112844, 10646, 29295, 27384, 53229, 108630, 119627, 111476, 67645, 103171, 104346, 20230, 108044, 58942, 104984, 104712, 104865, 95532, 110382, 15682, 120065, 49792, 101908, 125001, 104533, 107404, 38641, 9174, 110382, 16556, 115303, 59739, 105284, 99397, 78434, 9174, 30591, 112568, 16144, 56906, 107430, 114667, 15682, 26854, 104127, 56051, 32149, 95532, 44597, 59739, 120264, 123680, 29295, 30369, 16144, 111769, 112130, 95532, 102677, 123017, 111476, 56906, 107430, 114667, 15682, 115303, 59739, 111769, 5486, 102677, 112973, 85701, 103296, 121771, 115867, 24273, 16144, 50021, 111813, 20230, 110498, 121118, 116882, 112919, 103350, 99750, 38641, 9174, 56906, 107430, 30512, 104662, 109013, 114626, 112028, 107666, 15682, 30591, 114598, 5486, 109242, 9039, 16144, 103826, 104680, 26854, 31634, 63212, 29295, 30358, 26854, 31431, 5486, 116537, 56906, 107430, 30512, 103350, 23039, 54926, 102944, 38641, 9174, 72661, 77693, 30512, 58426, 110674, 13177, 80805, 102756, 102040, 32131, 29295, 30591, 76947, 1981, 59712, 110101, 48552, 114435, 103351, 105879, 10646, 77181, 110745, 75694, 112043, 16556, 120007, 20230, 108044, 78183, 30369, 112690, 101983, 107462, 107515, 9174, 26854, 20230, 29295, 5486, 67645, 33121, 120264, 5486, 30512, 15682, 121381, 31431, 5486, 66378, 20230, 48785, 19113, 30512, 17701, 106824, 118789, 112535, 108044, 105262, 105908, 27384, 30926, 38641, 9174, 118789, 112535, 64531, 22649, 39926, 64121, 17129, 109954, 9174, 104712, 112130, 111476, 118789, 112535, 5486, 38641, 106609, 102131, 112990, 5486, 118935, 11883, 30046, 110366, 32977, 13177, 40265, 61337, 16144, 127749, 20230, 102867, 124949, 114146, 38144, 78698, 107290, 10646, 16556, 122225, 125545, 9174, 28713, 19732, 116285, 20713, 59739, 118322, 107803, 105110, 111476, 102083, 100472, 112391, 38641, 9174, 56906, 107430, 114667, 15682, 111476, 13177, 85701, 103378, 15682, 92148, 110, 110615, 117503, 101911, 113801, 30512, 15682, 121381, 31431, 108044, 105262, 120266, 115552, 115991, 33541, 9174, 61826, 108680, 123680, 102639, 28713, 5486, 121355, 109013, 114667, 107809, 16556, 111476, 13177, 198, 85701, 29295, 103721, 108, 31431, 104196, 107001, 104468, 115924, 103359, 20230, 115389, 1811, 115338, 16144, 108695, 32977, 102131, 103351, 33503, 5486, 119869, 55031, 16937, 118935, 11883, 117084, 102971, 106391, 66383, 95604, 104468, 67645, 33121, 112130, 95532, 66953, 102860, 29295, 13177, 127557, 34171, 16144, 121953, 10646, 16556, 5486, 113938, 50338, 107471, 78434, 123794, 109900, 19732, 112361, 105933, 100909, 38641, 9174, 92148, 110, 110615, 106592, 37046, 110020, 120837, 5486, 102971, 91077, 30297, 17129, 47884, 118544, 103470, 109020, 103378, 38641, 9174, 103856, 47884, 104662, 17129, 76947, 102717, 102800, 102677, 120208, 5486, 32977, 43514, 85791, 25827, 78183, 107277, 33541, 9174, 72661, 5486, 112361, 105908, 103721, 108, 31431, 104196, 84389, 100604, 117501, 32977, 27384, 30926, 38641, 123794, 9174, 109860, 112160, 102159, 103378, 9174, 115924, 103359, 20230, 106644, 101860, 110615, 120266, 104622, 61826, 110480, 25129, 116825, 107441, 111476, 13177, 118789, 109904, 56906, 107430, 114667, 117503, 83799, 16556, 108044, 107290, 23039, 50834, 17129, 109954, 9174, 13177, 72661, 5486, 28190, 30177, 16556, 108044, 58942, 104466, 32977, 5486, 102181, 104770, 102647, 78698, 30512, 126954, 21105, 103, 47884, 38144, 5486, 28190, 30177, 105352, 23039, 107441, 100604, 116233, 107493, 91006, 198, 102677, 30591, 112568, 121254, 107441, 5486, 33671, 18904, 19732, 76947, 33334, 50834, 57933, 29220, 122842, 30512, 48154, 126362, 78434, 106609, 11144, 17039, 124305, 121355, 109013, 1811, 103856, 23538, 106627, 107430, 112919, 124122, 37823, 102832, 123581, 81258, 76706, 11199, 124720, 15682, 117896, 55031, 198, 2, 16, 103241, 245, 110794, 104792, 115195, 117758, 103864, 16995, 115442, 31431, 24273, 198, 2, 17, 119001, 76706, 29295, 101544, 73686, 47884, 109161, 102676, 16144, 112690, 106609, 2, 18, 45631, 81258, 76706, 65299, 103223, 66383, 32149, 13177, 109134, 116499, 16556, 100604, 66383, 32149, 1981, 107943, 110018, 15682, 106609, 2, 19, 113168, 95, 107430, 103296, 16144, 106759, 103359, 105226, 6447, 40526, 30297, 30369, 65316, 107493, 5486, 35757, 112624, 20230, 103188, 48154, 17663, 113009, 198, 2, 20, 220, 67645, 16144, 117876, 9458, 32018, 17792, 30512, 102647, 102189, 33503, 104712, 16144, 11571, 30512, 78698, 105262, 112772, 125338, 33334, 47884, 125231, 100909, 198, 2, 22, 112972, 30177, 20230, 28713, 67645, 31431, 59739, 47884, 113009, 6447, 107430, 102781, 106613, 114172, 102181, 15682, 108895, 19967, 103950, 198, 2, 23, 111724, 106613, 111186, 16556, 123357, 107430, 15682, 111108, 102800, 6447, 95532, 2, 24, 119001, 107430, 20230, 19361, 60632, 26854, 103087, 35083, 15682, 18049, 118, 66953, 37823, 41832, 107, 41832, 107, 41832, 107, 106609, 47774 ]
[ 13177, 81258, 76706, 20230, 107734, 80195, 59739, 47260, 32131, 91062, 117503, 51107, 108134, 126130, 53283, 117063, 6447, 39850, 33710, 68759, 102472, 55487, 22023, 123160, 66378, 105586, 102782, 15024, 121423, 15682, 117896, 55031, 198, 47774, 68759, 25197, 122481, 77750, 76171, 15682, 117896, 55031, 198, 102181, 102334, 17792, 5232, 21105, 242, 110792, 45893, 15024, 30369, 103854, 119594, 43167, 34048, 39850, 127058, 220, 17663, 16144, 22957, 198, 107391, 104612, 122521, 114172, 975, 8107, 5486, 106444, 103087, 35083, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 1811, 103572, 38574, 15682, 107338, 101513, 97518, 71289, 102667, 16556, 50021, 111813, 71289, 114341, 103605, 30512, 125338, 33541, 1811, 127949, 53901, 112495, 101908, 19732, 122558, 127331, 33503, 119432, 39880, 32131, 108526, 11972, 1811, 111299, 106968, 15682, 5486, 111629, 124020, 32149, 22398, 124603, 103842, 255, 124527, 20230, 61689, 1811, 128001, 128000, 7511, 515, 1198, 1198, 25, 7233, 17905, 61304, 16144, 108285, 58655, 15682, 20713, 113746, 71689, 51107, 16144, 100604, 52884, 77750, 20230, 52563, 116216, 61689, 9174, 17039, 102800, 77219, 30512, 102181, 47884, 30926, 16556, 108285, 58655, 29295, 33420, 72342, 33541, 9174, 567, 45631, 104405, 39926, 117943, 110071, 105908, 30358, 111600, 111769, 16144, 112130, 91006, 198, 122571, 64121, 26854, 98369, 55031, 112197, 46034, 112810, 30512, 98499, 64121, 111476, 80539, 114715, 72661, 64209, 16144, 46456, 58942, 101983, 104028, 101200, 112415, 127145, 9174, 33334, 46034, 112810, 16144, 101128, 102, 64121, 30926, 15682, 17792, 113468, 108010, 61689, 9174, 104575, 104654, 71289, 16995, 100204, 62004, 5486, 111943, 103926, 71289, 78256, 254, 61994, 114267, 127408, 5486, 37026, 108055, 112622, 103192, 103296, 16995, 85791, 16995, 85791, 38641, 9174, 67645, 16144, 44915, 32977, 35818, 46034, 56965, 16556, 111587, 105823, 110071, 105933, 102944, 126194, 111476, 122485, 15120, 107707, 24273, 29295, 59614, 102625, 20230, 114284, 30512, 104526, 107436, 108044, 107290, 108112, 30813, 100472, 89151, 119063, 26854, 101128, 102, 64121, 38641, 9174, 122571, 115408, 30512, 22023, 100204, 38144, 117943, 76947, 108112, 30813, 30369, 17792, 104067, 16144, 22023, 117943, 20230, 108608, 48249, 111331, 48634, 16556, 33334, 106608, 58942, 78434, 9174, 109860, 122571, 58426, 89151, 119063, 26854, 101128, 102, 64121, 19732, 70141, 50834, 40862, 30297, 110018, 111476, 58426, 114284, 30512, 104526, 109013, 83125, 29295, 67645, 103171, 102944, 115287, 103306, 32977, 37087, 47884, 95221, 20230, 103801, 72342, 25827, 9174, 101544, 17161, 72661, 5486, 106391, 13153, 29295, 108267, 33121, 100481, 111243, 5486, 39177, 109474, 29295, 66953, 32131, 66953, 32131, 72661, 111476, 107943, 109335, 89151, 119063, 26854, 50021, 111813, 121254, 50834, 40862, 30297, 110783, 110095, 102052, 116690, 100604, 16144, 38641, 9174, 1569, 113, 1569, 106, 124417, 111363, 46034, 112810, 30512, 108112, 30813, 100472, 24273, 15682, 114652, 111476, 13177, 98499, 64121, 20230, 47884, 16995, 83125, 38641, 16995, 107515, 115204, 45631, 78183, 107277, 20230, 47884, 47884, 38144, 48154, 62004, 103171, 65316, 1811, 111329, 13177, 109440, 115461, 115856, 107441, 48154, 62004, 25827, 65316, 115204, 112031, 86127, 30512, 95221, 124955, 76947, 108112, 30813, 61689, 29295, 111476, 33334, 46034, 112810, 30512, 108112, 30813, 30369, 64121, 26854, 117940, 26854, 105352, 118835, 30369, 100909, 104309, 100604, 16144, 38641, 9174, 122571, 117943, 110071, 105908, 107202, 77181, 124897, 15024, 30358, 111600, 105352, 26854, 31431, 107515, 9174, 22023, 117943, 20230, 106608, 105262, 118733, 114715, 72661, 43240, 119064, 114754, 106515, 72342, 101983, 104028, 105879, 30591, 104984, 111476, 58426, 106515, 72342, 16144, 113009, 86127, 112987, 126910, 72661, 33334, 46034, 112810, 30512, 98499, 64121, 5486, 46456, 58942, 104856, 104028, 104466, 121837, 78434, 9174, 64121, 26854, 115867, 101128, 102, 64121, 30512, 104655, 32149, 127397, 115962, 47884, 102677, 120266, 120019, 26854, 113160, 49988, 99750, 30512, 112391, 38144, 15682, 61689, 29295, 111476, 122571, 26854, 112212, 32977, 33334, 87177, 30512, 104655, 32149, 127397, 108112, 30813, 30369, 64121, 26854, 98369, 20230, 99750, 118835, 103792, 16144, 38641, 9174, 38641, 55031, 5486, 46456, 58942, 110071, 106592, 102782, 15024, 117735, 100604, 104309, 106046, 78183, 103470, 38144, 27384, 121313, 38641, 9174, 64209, 16144, 112258, 113, 102571, 16144, 112415, 29295, 114715, 72661, 43240, 119064, 107707, 106515, 72342, 20230, 103721, 233, 29295, 30369, 48249, 31431, 111476, 86127, 125030, 76947, 64121, 26854, 98369, 20230, 117943, 110071, 105908, 30358, 111600, 108176, 102677, 109335, 124897, 9174, 64209, 16144, 112258, 113, 102571, 16144, 112415, 15682, 111476, 86127, 116907, 29295, 37026, 120577, 114640, 16556, 102647, 102189, 121507, 116787, 111476, 22023, 100204, 38144, 117943, 76947, 50834, 38144, 122396, 17792, 30512, 86127, 29295, 101682, 76622, 125639, 111476, 80539, 114715, 72661, 64209, 16144, 46456, 58942, 121711, 5486, 48634, 115717, 106956, 19732, 104662, 109013, 100909, 126529, 38641, 9174, 122582, 45631, 103129, 76622, 123207, 105110, 100604, 10646, 111476, 102677, 64063, 102057, 249, 126194, 36896, 103129, 76622, 106956, 10646, 220, 102677, 127880, 114640, 38641, 9174, 109860, 5486, 17792, 20230, 117943, 110071, 105908, 30358, 111600, 36785, 114016, 114284, 107515, 9174, 122571, 112832, 116421, 64209, 16144, 46456, 58942, 117282, 105908, 111476, 114715, 72661, 43240, 119064, 107707, 49838, 105791, 71289, 104940, 102802, 5486, 80539, 106515, 72342, 20230, 103721, 233, 29295, 30369, 106592, 22023, 100204, 127280, 9174, 2501, 13177, 104405, 39926, 5486, 105994, 126194, 5486, 43511, 17792, 20230, 30358, 64209, 30512, 22324, 119064, 112130, 91006, 765, 112697, 103202, 765, 220, 104405, 39926, 11571, 40171, 91, 112697, 103202, 765, 128001, 128000, 827, 121243, 122502, 50834, 109297, 16144, 105037, 236, 43240, 50834, 78244, 91875, 198, 102131, 16995, 116285, 18, 18904, 118322, 101682, 114341, 16325, 5486, 95221, 108176, 61304, 43032, 122291, 1811, 34171, 103283, 123863, 43568, 37689, 109375, 119732, 39880, 22398, 15682, 5486, 123737, 103378, 111769, 1811, 103350, 15682, 111482, 107809, 105352, 104195, 47884, 48706, 39926, 102532, 5486, 111482, 29295, 38093, 104760, 113245, 102404, 78244, 30512, 110596, 101557, 106, 56051, 31431, 36896, 37026, 22023, 119703, 59712, 40452, 107430, 102052, 26854, 31431, 121771, 100604, 66383, 120267, 29295, 43514, 26854, 104468, 106116, 117375, 32977, 104195, 47884, 101182, 105272, 102677, 9174, 111482, 16144, 5486, 111482, 123863, 43568, 37689, 109375, 119732, 39880, 22398, 5486, 96356, 60358, 16556, 64209, 40265, 115926, 122291, 1811, 40053, 104680, 104603, 124373, 20230, 91763, 106358, 100909, 103195, 1811, 102669, 25580, 105647, 16144, 110176, 106759, 16144, 17297, 5486, 115638, 26854, 118006, 16556, 101662, 100472, 116882, 30046, 29295, 46729, 30926, 37087, 104322, 117824, 30297, 118430, 27479, 15682, 108948, 27929, 124749, 101083, 56965, 109904, 75146, 107253, 112603, 20230, 104067, 109768, 100604, 1811, 110924, 15682, 104736, 109315, 1811, 105677, 9080, 15682, 36785, 102334, 16995, 115303, 78244, 5486, 105104, 28713, 78244, 32149, 64121, 98369, 10110, 15120, 39177, 114363, 101275, 36668, 122924, 103351, 29295, 112599, 15682, 52591, 33710, 107507, 91062, 16144, 55999, 122502, 50834, 7705, 20230, 78459, 107167, 19732, 117952, 104028, 112973, 40053, 103195, 119520, 16937, 91763, 104760, 26854, 120266, 5486, 104446, 30591, 127091, 71289, 103950, 19732, 91875, 50834, 121406, 19732, 36896, 114774, 5486, 104712, 66383, 120853, 33476, 54926, 16144, 103195, 5486, 32149, 64121, 121944, 9174, 58942, 123334, 76947, 102717, 67016, 100472, 25827, 110034, 16144, 11571, 112031, 109076, 115461, 30297, 100909, 9039, 53283, 33121, 101860, 1811, 104446, 30591, 33334, 112690, 20230, 110631, 107290, 14382, 19732, 41758, 108337, 32131, 109768, 104533, 5486, 40265, 115926, 25580, 109846, 17161, 106808, 15682, 126843, 115924, 105262, 105908, 100604, 1811, 104446, 30591, 114318, 15120, 104611, 102404, 72718, 119607, 19732, 112990, 123334, 15682, 31431, 13177, 71289, 103171, 47884, 100481, 16995, 57980, 66383, 20834, 118694, 30512, 47884, 100204, 32149, 104028, 105272, 1811, 104405, 72342, 58942, 120240, 116186, 11972, 101832, 25827, 9174, 827, 127541, 106367, 114172, 508, 8107, 71689, 5486, 101544, 116358, 105037, 236, 29295, 30320, 115, 50338, 106609, 110382, 16556, 102040, 47307, 106046, 16995, 40265, 28713, 100472, 112973, 36896, 46729, 15682, 109297, 16144, 60174, 103195, 66383, 95604, 57237, 78244, 1811, 103188, 86436, 16144, 18655, 103234, 16556, 113351, 120175, 21105, 103, 29295, 33503, 5486, 21105, 108, 15024, 112727, 33121, 101732, 111828, 30358, 26854, 123646, 106240, 14382, 51330, 2118, 60174, 863, 127105, 36896, 111482, 15682, 118006, 117503, 43568, 37689, 109375, 119732, 39880, 22398, 29295, 104195, 48634, 20230, 126120, 102334, 5486, 46729, 30926, 30250, 224, 23039, 20230, 57326, 102803, 45923, 119707, 107674, 32149, 64121, 115867, 115638, 26854, 64209, 102831, 58426, 102944, 127891, 102131, 124572, 108323, 30512, 121697, 104533, 122617, 29295, 30320, 115, 50338, 56051, 5486, 116499, 56051, 125939, 103296, 116882, 30046, 15682, 93056, 114737, 16144, 60174, 863, 20230, 43568, 103181, 104874, 20230, 119870, 64121, 104526, 108031, 103306, 102334, 104865, 121061, 9174, 116882, 30046, 15682, 112442, 95221, 30512, 20834, 39926, 5486, 110596, 18904, 15024, 20230, 107461, 39880, 122835, 39926, 64121, 28713, 9174, 11144, 48, 11199, 26854, 104127, 46729, 30926, 71289, 42891, 104702, 99959, 39850, 126529, 95532, 11144, 32, 11199, 13177, 125338, 109134, 66383, 32149, 36896, 71208, 58850, 50211, 50667, 5486, 103268, 104680, 104446, 26854, 50834, 101668, 16995, 124324, 66383, 32149, 103351, 33503, 123334, 76947, 102717, 106624, 100604, 1811, 16556, 124304, 11571, 220, 27929, 32977, 27929, 32977, 30591, 112568, 29295, 10110, 88852, 105838, 23954, 125338, 109134, 5486, 104309, 19732, 17905, 55031, 102782, 15024, 109415, 30369, 59739, 123731, 104309, 104662, 39926, 104435, 16144, 119627, 127891, 90620, 5486, 25197, 102494, 2845, 227, 33710, 29430, 20230, 106307, 102334, 58426, 33334, 31809, 78244, 55031, 122603, 16995, 2118, 60174, 110426, 863, 16144, 48706, 15682, 114140, 103082, 28713, 9174, 101908, 122924, 16144, 120987, 30512, 91763, 76947, 46729, 30926, 20230, 112909, 121406, 105110, 126574, 60174, 110426, 16144, 48706, 30512, 53283, 31431, 106116, 37656, 33014, 116825, 32149, 64121, 106116, 30297, 58942, 16556, 117475, 15682, 99849, 30512, 103192, 126559, 104865, 30512, 36735, 112, 50834, 18655, 30369, 110783, 110095, 29295, 109215, 36785, 1811, 50021, 106608, 16144, 82973, 15682, 109215, 106046, 126832, 29295, 5486, 30813, 126693, 13177, 111482, 15682, 118006, 66383, 95604, 43568, 37689, 109375, 119732, 39880, 22398, 110162, 64121, 115867, 116882, 30046, 113115, 54926, 107624, 95001, 30512, 5486, 9039, 101198, 37823, 120264, 15682, 91875, 32149, 39926, 124089, 32149, 121061, 9174, 71208, 58850, 107173, 20230, 113164, 109713, 105988, 22398, 9458, 119732, 39880, 117718, 102831, 102987, 30813, 30512, 126843, 15682, 53283, 30369, 100909, 5486, 110382, 55031, 122617, 15682, 27704, 115464, 105272, 106046, 100472, 9174, 117039, 1569, 100646, 19931, 916, 198, 61786, 101701, 127426, 15120, 10110, 20230, 67016, 78183, 9458, 15024, 116186, 30297, 16995, 43514, 7705, 128001, 128000, 37271, 18904, 15682, 5486, 25580, 18904, 80172, 83932, 107726, 100481, 90620, 50834, 79721, 111476, 11144, 113587, 60868, 125135, 14, 103167, 48864, 8107, 9458, 85707, 64209, 30046, 11199, 60868, 125135, 39442, 106613, 111186, 16144, 106759, 72661, 108608, 18, 118821, 60868, 121057, 14, 75146, 17920, 236, 112113, 104817, 198, 16144, 106307, 104817, 103195, 39850, 114483, 33710, 120456, 76171, 45923, 104817, 30512, 5486, 60868, 125135, 114172, 1114, 8107, 5486, 113587, 60868, 26269, 71493, 38248, 111, 113335, 114172, 19, 116358, 86127, 29295, 50338, 108323, 109768, 105898, 16995, 106046, 61689, 9174, 567, 63415, 126843, 27704, 62004, 20230, 198, 118899, 16144, 60868, 125135, 126909, 16556, 120268, 104575, 77181, 104773, 16144, 60868, 125135, 113587, 108638, 20230, 125151, 56051, 31431, 5486, 127134, 124180, 20230, 125151, 103792, 45829, 29295, 8107, 104680, 115079, 107290, 50834, 127280, 9174, 113261, 16995, 119400, 55031, 108638, 33014, 124011, 109089, 20230, 109835, 104028, 118733, 127032, 104067, 15682, 106222, 34171, 29295, 96356, 107294, 50834, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 48634, 16144, 70141, 115442, 125494, 125545, 9174, 127177, 108638, 33014, 124011, 109089, 19732, 57106, 115694, 60868, 125135, 16144, 101523, 227, 48634, 15682, 5486, 47260, 119263, 78683, 103906, 115247, 108285, 30813, 38641, 125939, 71289, 102616, 113245, 124011, 109089, 113073, 93488, 119557, 77181, 118809, 113821, 103672, 64178, 20230, 33671, 117201, 17, 25129, 38641, 1811, 102433, 117409, 16556, 91774, 111243, 108638, 33014, 114300, 83301, 20230, 58254, 252, 104533, 102212, 79059, 20230, 33671, 117201, 17, 25129, 38641, 9174, 122270, 21601, 107290, 123085, 113245, 60868, 125135, 126909, 15682, 2550, 18, 116358, 41, 37823, 38248, 108, 87447, 106633, 30512, 50834, 42891, 126929, 20230, 105047, 95399, 20230, 110137, 102802, 38144, 50834, 79721, 9174, 58426, 74482, 5486, 102491, 16995, 124108, 114181, 104611, 20230, 110993, 79982, 125030, 33503, 126832, 100909, 103470, 5486, 115289, 122279, 20230, 17039, 102800, 113727, 24273, 30512, 108167, 125639, 123085, 17792, 20230, 40862, 100472, 41007, 30512, 54872, 52084, 56051, 113702, 5486, 112599, 77181, 125559, 16556, 76706, 109526, 235, 54926, 115350, 29295, 105047, 106266, 20230, 115079, 107290, 61689, 15024, 5486, 54, 109247, 72661, 104662, 104284, 20251, 109793, 73590, 20230, 103130, 104004, 103296, 20230, 105047, 106266, 20230, 13153, 101544, 39926, 50834, 79721, 9174, 59739, 109709, 123085, 60868, 125135, 102052, 43511, 107707, 37689, 91774, 30512, 104655, 102334, 17905, 16556, 37026, 33503, 78698, 105262, 198, 13177, 90962, 107610, 16073, 68759, 76171, 45923, 66383, 95604, 105335, 107446, 29295, 102831, 104792, 20230, 57903, 5486, 115350, 105459, 32977, 90962, 107610, 16073, 68759, 76171, 45923, 26854, 34171, 35083, 30512, 32018, 62004, 102204, 33541, 198, 102321, 31640, 106222, 16556, 76706, 109526, 235, 109768, 47884, 103846, 102052, 110371, 90962, 107610, 16073, 68759, 76171, 45923, 29295, 32018, 62004, 102204, 33541, 1811, 31809, 65316, 119400, 55031, 51330, 117501, 20230, 96356, 30512, 22324, 47884, 118733, 5486, 106222, 16556, 76706, 109526, 235, 108608, 17792, 124259, 13153, 101544, 109768, 47884, 123253, 9174, 89783, 111813, 29295, 101544, 115737, 31431, 79721, 29295, 5486, 107943, 102616, 20230, 15120, 105564, 119870, 64121, 118158, 127032, 104067, 102052, 21043, 66776, 107173, 60868, 125135, 30512, 120111, 117084, 102717, 102800, 38641, 15024 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13177, 81258, 76706, 20230, 107734, 80195, 59739, 47260, 32131, 91062, 117503, 51107, 108134, 126130, 53283, 117063, 6447, 39850, 33710, 68759, 102472, 55487, 22023, 123160, 66378, 105586, 102782, 15024, 121423, 15682, 117896, 55031, 198, 47774, 68759, 25197, 122481, 77750, 76171, 15682, 117896, 55031, 198, 102181, 102334, 17792, 5232, 21105, 242, 110792, 45893, 15024, 30369, 103854, 119594, 43167, 34048, 39850, 127058, 220, 17663, 16144, 22957, 198, 107391, 104612, 122521, 114172, 975, 8107, 5486, 106444, 103087, 35083, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 1811, 103572, 38574, 15682, 107338, 101513, 97518, 71289, 102667, 16556, 50021, 111813, 71289, 114341, 103605, 30512, 125338, 33541, 1811, 127949, 53901, 112495, 101908, 19732, 122558, 127331, 33503, 119432, 39880, 32131, 108526, 11972, 1811, 111299, 106968, 15682, 5486, 111629, 124020, 32149, 22398, 124603, 103842, 255, 124527, 20230, 61689, 1811, 128001, 128000, 7511, 515, 1198, 1198, 25, 7233, 17905, 61304, 16144, 108285, 58655, 15682, 20713, 113746, 71689, 51107, 16144, 100604, 52884, 77750, 20230, 52563, 116216, 61689, 9174, 17039, 102800, 77219, 30512, 102181, 47884, 30926, 16556, 108285, 58655, 29295, 33420, 72342, 33541, 9174, 567, 45631, 104405, 39926, 117943, 110071, 105908, 30358, 111600, 111769, 16144, 112130, 91006, 198, 122571, 64121, 26854, 98369, 55031, 112197, 46034, 112810, 30512, 98499, 64121, 111476, 80539, 114715, 72661, 64209, 16144, 46456, 58942, 101983, 104028, 101200, 112415, 127145, 9174, 33334, 46034, 112810, 16144, 101128, 102, 64121, 30926, 15682, 17792, 113468, 108010, 61689, 9174, 104575, 104654, 71289, 16995, 100204, 62004, 5486, 111943, 103926, 71289, 78256, 254, 61994, 114267, 127408, 5486, 37026, 108055, 112622, 103192, 103296, 16995, 85791, 16995, 85791, 38641, 9174, 67645, 16144, 44915, 32977, 35818, 46034, 56965, 16556, 111587, 105823, 110071, 105933, 102944, 126194, 111476, 122485, 15120, 107707, 24273, 29295, 59614, 102625, 20230, 114284, 30512, 104526, 107436, 108044, 107290, 108112, 30813, 100472, 89151, 119063, 26854, 101128, 102, 64121, 38641, 9174, 122571, 115408, 30512, 22023, 100204, 38144, 117943, 76947, 108112, 30813, 30369, 17792, 104067, 16144, 22023, 117943, 20230, 108608, 48249, 111331, 48634, 16556, 33334, 106608, 58942, 78434, 9174, 109860, 122571, 58426, 89151, 119063, 26854, 101128, 102, 64121, 19732, 70141, 50834, 40862, 30297, 110018, 111476, 58426, 114284, 30512, 104526, 109013, 83125, 29295, 67645, 103171, 102944, 115287, 103306, 32977, 37087, 47884, 95221, 20230, 103801, 72342, 25827, 9174, 101544, 17161, 72661, 5486, 106391, 13153, 29295, 108267, 33121, 100481, 111243, 5486, 39177, 109474, 29295, 66953, 32131, 66953, 32131, 72661, 111476, 107943, 109335, 89151, 119063, 26854, 50021, 111813, 121254, 50834, 40862, 30297, 110783, 110095, 102052, 116690, 100604, 16144, 38641, 9174, 1569, 113, 1569, 106, 124417, 111363, 46034, 112810, 30512, 108112, 30813, 100472, 24273, 15682, 114652, 111476, 13177, 98499, 64121, 20230, 47884, 16995, 83125, 38641, 16995, 107515, 115204, 45631, 78183, 107277, 20230, 47884, 47884, 38144, 48154, 62004, 103171, 65316, 1811, 111329, 13177, 109440, 115461, 115856, 107441, 48154, 62004, 25827, 65316, 115204, 112031, 86127, 30512, 95221, 124955, 76947, 108112, 30813, 61689, 29295, 111476, 33334, 46034, 112810, 30512, 108112, 30813, 30369, 64121, 26854, 117940, 26854, 105352, 118835, 30369, 100909, 104309, 100604, 16144, 38641, 9174, 122571, 117943, 110071, 105908, 107202, 77181, 124897, 15024, 30358, 111600, 105352, 26854, 31431, 107515, 9174, 22023, 117943, 20230, 106608, 105262, 118733, 114715, 72661, 43240, 119064, 114754, 106515, 72342, 101983, 104028, 105879, 30591, 104984, 111476, 58426, 106515, 72342, 16144, 113009, 86127, 112987, 126910, 72661, 33334, 46034, 112810, 30512, 98499, 64121, 5486, 46456, 58942, 104856, 104028, 104466, 121837, 78434, 9174, 64121, 26854, 115867, 101128, 102, 64121, 30512, 104655, 32149, 127397, 115962, 47884, 102677, 120266, 120019, 26854, 113160, 49988, 99750, 30512, 112391, 38144, 15682, 61689, 29295, 111476, 122571, 26854, 112212, 32977, 33334, 87177, 30512, 104655, 32149, 127397, 108112, 30813, 30369, 64121, 26854, 98369, 20230, 99750, 118835, 103792, 16144, 38641, 9174, 38641, 55031, 5486, 46456, 58942, 110071, 106592, 102782, 15024, 117735, 100604, 104309, 106046, 78183, 103470, 38144, 27384, 121313, 38641, 9174, 64209, 16144, 112258, 113, 102571, 16144, 112415, 29295, 114715, 72661, 43240, 119064, 107707, 106515, 72342, 20230, 103721, 233, 29295, 30369, 48249, 31431, 111476, 86127, 125030, 76947, 64121, 26854, 98369, 20230, 117943, 110071, 105908, 30358, 111600, 108176, 102677, 109335, 124897, 9174, 64209, 16144, 112258, 113, 102571, 16144, 112415, 15682, 111476, 86127, 116907, 29295, 37026, 120577, 114640, 16556, 102647, 102189, 121507, 116787, 111476, 22023, 100204, 38144, 117943, 76947, 50834, 38144, 122396, 17792, 30512, 86127, 29295, 101682, 76622, 125639, 111476, 80539, 114715, 72661, 64209, 16144, 46456, 58942, 121711, 5486, 48634, 115717, 106956, 19732, 104662, 109013, 100909, 126529, 38641, 9174, 122582, 45631, 103129, 76622, 123207, 105110, 100604, 10646, 111476, 102677, 64063, 102057, 249, 126194, 36896, 103129, 76622, 106956, 10646, 220, 102677, 127880, 114640, 38641, 9174, 109860, 5486, 17792, 20230, 117943, 110071, 105908, 30358, 111600, 36785, 114016, 114284, 107515, 9174, 122571, 112832, 116421, 64209, 16144, 46456, 58942, 117282, 105908, 111476, 114715, 72661, 43240, 119064, 107707, 49838, 105791, 71289, 104940, 102802, 5486, 80539, 106515, 72342, 20230, 103721, 233, 29295, 30369, 106592, 22023, 100204, 127280, 9174, 2501, 13177, 104405, 39926, 5486, 105994, 126194, 5486, 43511, 17792, 20230, 30358, 64209, 30512, 22324, 119064, 112130, 91006, 765, 112697, 103202, 765, 220, 104405, 39926, 11571, 40171, 91, 112697, 103202, 765, 128001, 128000, 827, 121243, 122502, 50834, 109297, 16144, 105037, 236, 43240, 50834, 78244, 91875, 198, 102131, 16995, 116285, 18, 18904, 118322, 101682, 114341, 16325, 5486, 95221, 108176, 61304, 43032, 122291, 1811, 34171, 103283, 123863, 43568, 37689, 109375, 119732, 39880, 22398, 15682, 5486, 123737, 103378, 111769, 1811, 103350, 15682, 111482, 107809, 105352, 104195, 47884, 48706, 39926, 102532, 5486, 111482, 29295, 38093, 104760, 113245, 102404, 78244, 30512, 110596, 101557, 106, 56051, 31431, 36896, 37026, 22023, 119703, 59712, 40452, 107430, 102052, 26854, 31431, 121771, 100604, 66383, 120267, 29295, 43514, 26854, 104468, 106116, 117375, 32977, 104195, 47884, 101182, 105272, 102677, 9174, 111482, 16144, 5486, 111482, 123863, 43568, 37689, 109375, 119732, 39880, 22398, 5486, 96356, 60358, 16556, 64209, 40265, 115926, 122291, 1811, 40053, 104680, 104603, 124373, 20230, 91763, 106358, 100909, 103195, 1811, 102669, 25580, 105647, 16144, 110176, 106759, 16144, 17297, 5486, 115638, 26854, 118006, 16556, 101662, 100472, 116882, 30046, 29295, 46729, 30926, 37087, 104322, 117824, 30297, 118430, 27479, 15682, 108948, 27929, 124749, 101083, 56965, 109904, 75146, 107253, 112603, 20230, 104067, 109768, 100604, 1811, 110924, 15682, 104736, 109315, 1811, 105677, 9080, 15682, 36785, 102334, 16995, 115303, 78244, 5486, 105104, 28713, 78244, 32149, 64121, 98369, 10110, 15120, 39177, 114363, 101275, 36668, 122924, 103351, 29295, 112599, 15682, 52591, 33710, 107507, 91062, 16144, 55999, 122502, 50834, 7705, 20230, 78459, 107167, 19732, 117952, 104028, 112973, 40053, 103195, 119520, 16937, 91763, 104760, 26854, 120266, 5486, 104446, 30591, 127091, 71289, 103950, 19732, 91875, 50834, 121406, 19732, 36896, 114774, 5486, 104712, 66383, 120853, 33476, 54926, 16144, 103195, 5486, 32149, 64121, 121944, 9174, 58942, 123334, 76947, 102717, 67016, 100472, 25827, 110034, 16144, 11571, 112031, 109076, 115461, 30297, 100909, 9039, 53283, 33121, 101860, 1811, 104446, 30591, 33334, 112690, 20230, 110631, 107290, 14382, 19732, 41758, 108337, 32131, 109768, 104533, 5486, 40265, 115926, 25580, 109846, 17161, 106808, 15682, 126843, 115924, 105262, 105908, 100604, 1811, 104446, 30591, 114318, 15120, 104611, 102404, 72718, 119607, 19732, 112990, 123334, 15682, 31431, 13177, 71289, 103171, 47884, 100481, 16995, 57980, 66383, 20834, 118694, 30512, 47884, 100204, 32149, 104028, 105272, 1811, 104405, 72342, 58942, 120240, 116186, 11972, 101832, 25827, 9174, 827, 127541, 106367, 114172, 508, 8107, 71689, 5486, 101544, 116358, 105037, 236, 29295, 30320, 115, 50338, 106609, 110382, 16556, 102040, 47307, 106046, 16995, 40265, 28713, 100472, 112973, 36896, 46729, 15682, 109297, 16144, 60174, 103195, 66383, 95604, 57237, 78244, 1811, 103188, 86436, 16144, 18655, 103234, 16556, 113351, 120175, 21105, 103, 29295, 33503, 5486, 21105, 108, 15024, 112727, 33121, 101732, 111828, 30358, 26854, 123646, 106240, 14382, 51330, 2118, 60174, 863, 127105, 36896, 111482, 15682, 118006, 117503, 43568, 37689, 109375, 119732, 39880, 22398, 29295, 104195, 48634, 20230, 126120, 102334, 5486, 46729, 30926, 30250, 224, 23039, 20230, 57326, 102803, 45923, 119707, 107674, 32149, 64121, 115867, 115638, 26854, 64209, 102831, 58426, 102944, 127891, 102131, 124572, 108323, 30512, 121697, 104533, 122617, 29295, 30320, 115, 50338, 56051, 5486, 116499, 56051, 125939, 103296, 116882, 30046, 15682, 93056, 114737, 16144, 60174, 863, 20230, 43568, 103181, 104874, 20230, 119870, 64121, 104526, 108031, 103306, 102334, 104865, 121061, 9174, 116882, 30046, 15682, 112442, 95221, 30512, 20834, 39926, 5486, 110596, 18904, 15024, 20230, 107461, 39880, 122835, 39926, 64121, 28713, 9174, 11144, 48, 11199, 26854, 104127, 46729, 30926, 71289, 42891, 104702, 99959, 39850, 126529, 95532, 11144, 32, 11199, 13177, 125338, 109134, 66383, 32149, 36896, 71208, 58850, 50211, 50667, 5486, 103268, 104680, 104446, 26854, 50834, 101668, 16995, 124324, 66383, 32149, 103351, 33503, 123334, 76947, 102717, 106624, 100604, 1811, 16556, 124304, 11571, 220, 27929, 32977, 27929, 32977, 30591, 112568, 29295, 10110, 88852, 105838, 23954, 125338, 109134, 5486, 104309, 19732, 17905, 55031, 102782, 15024, 109415, 30369, 59739, 123731, 104309, 104662, 39926, 104435, 16144, 119627, 127891, 90620, 5486, 25197, 102494, 2845, 227, 33710, 29430, 20230, 106307, 102334, 58426, 33334, 31809, 78244, 55031, 122603, 16995, 2118, 60174, 110426, 863, 16144, 48706, 15682, 114140, 103082, 28713, 9174, 101908, 122924, 16144, 120987, 30512, 91763, 76947, 46729, 30926, 20230, 112909, 121406, 105110, 126574, 60174, 110426, 16144, 48706, 30512, 53283, 31431, 106116, 37656, 33014, 116825, 32149, 64121, 106116, 30297, 58942, 16556, 117475, 15682, 99849, 30512, 103192, 126559, 104865, 30512, 36735, 112, 50834, 18655, 30369, 110783, 110095, 29295, 109215, 36785, 1811, 50021, 106608, 16144, 82973, 15682, 109215, 106046, 126832, 29295, 5486, 30813, 126693, 13177, 111482, 15682, 118006, 66383, 95604, 43568, 37689, 109375, 119732, 39880, 22398, 110162, 64121, 115867, 116882, 30046, 113115, 54926, 107624, 95001, 30512, 5486, 9039, 101198, 37823, 120264, 15682, 91875, 32149, 39926, 124089, 32149, 121061, 9174, 71208, 58850, 107173, 20230, 113164, 109713, 105988, 22398, 9458, 119732, 39880, 117718, 102831, 102987, 30813, 30512, 126843, 15682, 53283, 30369, 100909, 5486, 110382, 55031, 122617, 15682, 27704, 115464, 105272, 106046, 100472, 9174, 117039, 1569, 100646, 19931, 916, 198, 61786, 101701, 127426, 15120, 10110, 20230, 67016, 78183, 9458, 15024, 116186, 30297, 16995, 43514, 7705, 128001, 128000, 37271, 18904, 15682, 5486, 25580, 18904, 80172, 83932, 107726, 100481, 90620, 50834, 79721, 111476, 11144, 113587, 60868, 125135, 14, 103167, 48864, 8107, 9458, 85707, 64209, 30046, 11199, 60868, 125135, 39442, 106613, 111186, 16144, 106759, 72661, 108608, 18, 118821, 60868, 121057, 14, 75146, 17920, 236, 112113, 104817, 198, 16144, 106307, 104817, 103195, 39850, 114483, 33710, 120456, 76171, 45923, 104817, 30512, 5486, 60868, 125135, 114172, 1114, 8107, 5486, 113587, 60868, 26269, 71493, 38248, 111, 113335, 114172, 19, 116358, 86127, 29295, 50338, 108323, 109768, 105898, 16995, 106046, 61689, 9174, 567, 63415, 126843, 27704, 62004, 20230, 198, 118899, 16144, 60868, 125135, 126909, 16556, 120268, 104575, 77181, 104773, 16144, 60868, 125135, 113587, 108638, 20230, 125151, 56051, 31431, 5486, 127134, 124180, 20230, 125151, 103792, 45829, 29295, 8107, 104680, 115079, 107290, 50834, 127280, 9174, 113261, 16995, 119400, 55031, 108638, 33014, 124011, 109089, 20230, 109835, 104028, 118733, 127032, 104067, 15682, 106222, 34171, 29295, 96356, 107294, 50834, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 48634, 16144, 70141, 115442, 125494, 125545, 9174, 127177, 108638, 33014, 124011, 109089, 19732, 57106, 115694, 60868, 125135, 16144, 101523, 227, 48634, 15682, 5486, 47260, 119263, 78683, 103906, 115247, 108285, 30813, 38641, 125939, 71289, 102616, 113245, 124011, 109089, 113073, 93488, 119557, 77181, 118809, 113821, 103672, 64178, 20230, 33671, 117201, 17, 25129, 38641, 1811, 102433, 117409, 16556, 91774, 111243, 108638, 33014, 114300, 83301, 20230, 58254, 252, 104533, 102212, 79059, 20230, 33671, 117201, 17, 25129, 38641, 9174, 122270, 21601, 107290, 123085, 113245, 60868, 125135, 126909, 15682, 2550, 18, 116358, 41, 37823, 38248, 108, 87447, 106633, 30512, 50834, 42891, 126929, 20230, 105047, 95399, 20230, 110137, 102802, 38144, 50834, 79721, 9174, 58426, 74482, 5486, 102491, 16995, 124108, 114181, 104611, 20230, 110993, 79982, 125030, 33503, 126832, 100909, 103470, 5486, 115289, 122279, 20230, 17039, 102800, 113727, 24273, 30512, 108167, 125639, 123085, 17792, 20230, 40862, 100472, 41007, 30512, 54872, 52084, 56051, 113702, 5486, 112599, 77181, 125559, 16556, 76706, 109526, 235, 54926, 115350, 29295, 105047, 106266, 20230, 115079, 107290, 61689, 15024, 5486, 54, 109247, 72661, 104662, 104284, 20251, 109793, 73590, 20230, 103130, 104004, 103296, 20230, 105047, 106266, 20230, 13153, 101544, 39926, 50834, 79721, 9174, 59739, 109709, 123085, 60868, 125135, 102052, 43511, 107707, 37689, 91774, 30512, 104655, 102334, 17905, 16556, 37026, 33503, 78698, 105262, 198, 13177, 90962, 107610, 16073, 68759, 76171, 45923, 66383, 95604, 105335, 107446, 29295, 102831, 104792, 20230, 57903, 5486, 115350, 105459, 32977, 90962, 107610, 16073, 68759, 76171, 45923, 26854, 34171, 35083, 30512, 32018, 62004, 102204, 33541, 198, 102321, 31640, 106222, 16556, 76706, 109526, 235, 109768, 47884, 103846, 102052, 110371, 90962, 107610, 16073, 68759, 76171, 45923, 29295, 32018, 62004, 102204, 33541, 1811, 31809, 65316, 119400, 55031, 51330, 117501, 20230, 96356, 30512, 22324, 47884, 118733, 5486, 106222, 16556, 76706, 109526, 235, 108608, 17792, 124259, 13153, 101544, 109768, 47884, 123253, 9174, 89783, 111813, 29295, 101544, 115737, 31431, 79721, 29295, 5486, 107943, 102616, 20230, 15120, 105564, 119870, 64121, 118158, 127032, 104067, 102052, 21043, 66776, 107173, 60868, 125135, 30512, 120111, 117084, 102717, 102800, 38641, 15024 ]
[ 5486, 60868, 125135, 19732, 101544, 16995, 82973, 114308, 40862, 107462, 76947, 102717, 102800, 106046, 76947, 61689, 9174, 77693, 102052, 83747, 26854, 55031, 101860, 33334, 104503, 98369, 33334, 103760, 115867, 60868, 121057, 29295, 109215, 38641, 106609, 77693, 77181, 5486, 60868, 125135, 30512, 27704, 109013, 122416, 112197, 45829, 103826, 114792, 59739, 33334, 104503, 98369, 33334, 103760, 121944, 108608, 17, 118821, 60868, 121057, 14, 39850, 114483, 33710, 120456, 76171, 45923, 104817, 30512, 50338, 108323, 109768, 105898, 16995, 106046, 61689, 9174, 567, 63415, 127032, 16144, 13177, 113727, 118587, 104655, 47884, 198, 110993, 79982, 26854, 16906, 111, 21105, 243, 19732, 110993, 79982, 26854, 106045, 104063, 30512, 30358, 25827, 100204, 28713, 11881, 242, 16144, 105964, 38093, 39276, 68759, 76171, 45923, 15682, 108031, 109215, 100604, 38641, 9174, 113146, 15682, 104721, 116547, 79721, 9174, 117952, 103468, 106592, 31374, 248, 74245, 20230, 22957, 110214, 5486, 25287, 20230, 123451, 234, 115464, 115789, 19732, 111243, 27384, 102769, 32149, 110241, 33121, 107515, 29295, 115515, 16144, 113146, 15682, 37026, 33503, 78698, 107290, 5486, 23226, 106594, 109768, 47884, 105908, 105755, 32018, 62004, 124195, 61689, 9174, 115350, 16144, 37689, 91774, 30512, 104655, 47884, 112772, 85701, 15682, 109134, 26854, 32351, 126194, 124563, 112371, 102131, 56051, 32149, 29295, 107693, 38641, 9174, 37271, 77181, 5486, 34048, 76706, 16556, 61826, 101477, 102, 19732, 74482, 101477, 102, 29295, 113850, 103424, 47884, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 103836, 110783, 15682, 117902, 106624, 124897, 15024, 5486, 115364, 113727, 30512, 110408, 15024, 47000, 105784, 121142, 103470, 5486, 115350, 16144, 113727, 30512, 21105, 96, 107277, 19732, 104655, 102532, 5486, 56965, 108010, 107462, 104984, 77693, 113115, 39926, 107461, 52414, 30512, 58318, 58942, 5486, 115350, 37026, 33503, 20230, 103899, 58942, 30512, 113727, 124545, 64467, 106839, 30046, 29295, 115079, 107290, 61689, 9174, 58426, 104721, 33208, 112197, 32149, 102639, 16556, 5486, 104509, 51385, 104063, 115350, 119775, 605, 31640, 16556, 102616, 55031, 26130, 30832, 107001, 115350, 29295, 102433, 55031, 45918, 243, 21990, 15024, 27704, 62004, 100934, 16144, 38641, 9174, 27452, 116285, 5486, 32977, 21105, 232, 45829, 103826, 29295, 106081, 40862, 16325, 71289, 115541, 108710, 126867, 101198, 22398, 30512, 39926, 114604, 104983, 124563, 104127, 58426, 57326, 110494, 126198, 32149, 104655, 102532, 122765, 38144, 72315, 9174, 31809, 104575, 103167, 48864, 116358, 115350, 72661, 37689, 48915, 19732, 21105, 96, 107277, 78698, 107290, 61689, 9174, 58426, 103899, 58942, 29295, 17620, 55031, 103470, 111243, 5486, 125845, 56965, 108010, 76947, 102532, 32977, 111476, 26854, 104127, 101198, 22398, 126198, 104865, 198, 78698, 107800, 106592, 106782, 240, 107436, 122765, 38144, 72315, 9174, 103899, 107800, 29295, 78183, 55031, 103470, 111243, 27384, 121313, 38641, 9174, 33671, 16144, 115541, 108710, 71289, 106081, 40862, 16556, 47260, 113335, 20230, 198, 13177, 78698, 107800, 10646, 106592, 47260, 113335, 20230, 87177, 17663, 104466, 108044, 107290, 122765, 38144, 72315, 9174, 37656, 50338, 20230, 106839, 47884, 112973, 64467, 106839, 112919, 107734, 30832, 38641, 55031, 32351, 198, 116900, 32977, 61994, 31431, 16556, 5486, 104712, 57326, 110494, 118816, 47260, 113335, 20230, 106782, 240, 62004, 109115, 107803, 32977, 117119, 29295, 57980, 102518, 104865, 78698, 105262, 105908, 27384, 102769, 38641, 9174, 26854, 105879, 5486, 106081, 40862, 71289, 115541, 108710, 104088, 120650, 76622, 104435, 126513, 111476, 13177, 110589, 47260, 113335, 20230, 106782, 240, 62004, 109115, 91006, 110162, 104655, 102532, 64121, 38144, 72315, 9174, 106782, 240, 62004, 102204, 101732, 126513, 5486, 50834, 104043, 78683, 47260, 78683, 47260, 21105, 103, 29295, 33503, 87177, 39926, 120700, 33541, 106609, 27929, 127564, 13177, 67645, 103171, 57326, 110494, 103351, 16144, 91006, 19732, 59614, 101860, 106384, 65575, 66953, 48552, 39926, 122765, 38144, 72315, 9174, 64780, 78698, 107800, 106592, 101335, 84477, 20230, 102181, 47884, 108710, 101557, 96, 107407, 102083, 16995, 125651, 32351, 198, 85701, 15682, 103167, 48864, 8107, 102052, 103856, 117714, 77181, 11571, 11571, 119150, 32149, 110241, 33121, 107515, 29295, 120268, 104575, 103167, 48864, 116358, 38574, 106090, 16556, 198, 13177, 78698, 105262, 66383, 95604, 23706, 244, 29295, 47000, 119188, 19732, 41642, 111331, 45829, 104067, 20230, 107188, 111331, 104364, 116825, 105784, 105908, 125545, 124845, 37271, 123470, 17792, 21990, 121960, 32977, 59614, 101860, 107734, 80195, 59739, 116497, 38641, 9174, 85701, 15682, 115408, 16144, 106613, 111186, 119627, 31809, 104575, 16, 8107, 21990, 74482, 103268, 120264, 55031, 115364, 113727, 114792, 76947, 57326, 110494, 108608, 124863, 112384, 102717, 33503, 20834, 38144, 50834, 33541, 9174, 31809, 104575, 17, 8107, 21990, 77181, 60868, 26269, 71493, 25005, 236, 84477, 20230, 115364, 57326, 110494, 16144, 95543, 66870, 28542, 71289, 23226, 106594, 28542, 30512, 102181, 105784, 101200, 115717, 33541, 9174, 108056, 19732, 64467, 106839, 15024, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 104984, 127032, 104067, 15682, 106608, 107290, 120700, 33541, 9174, 567, 63415, 60868, 125135, 29295, 120111, 32149, 104655, 47884, 198, 102321, 31640, 16144, 31809, 104575, 104378, 10110, 66378, 20230, 103167, 48864, 8107, 119735, 13177, 50211, 50667, 118587, 30358, 25827, 100204, 103188, 105557, 127280, 9174, 100927, 58942, 121240, 117401, 38093, 104088, 20230, 16995, 126145, 107263, 114300, 102149, 16556, 110480, 25129, 116825, 76622, 104435, 31431, 5486, 48864, 117813, 38093, 16144, 36668, 107734, 29295, 109242, 9039, 107991, 50667, 90578, 80673, 5486, 60868, 125135, 16556, 106081, 40862, 117158, 104028, 17792, 9039, 15682, 104662, 17129, 76947, 61689, 9174, 47260, 113335, 103306, 15682, 112073, 30512, 106081, 40862, 117158, 39926, 122765, 106956, 16144, 119627, 110745, 102769, 26854, 106081, 40862, 101983, 104984, 109020, 108680, 108048, 29295, 103082, 103470, 109020, 112973, 102321, 103350, 38641, 9174, 120550, 104533, 5486, 114300, 106106, 101983, 33121, 126386, 127032, 127282, 106081, 40862, 117158, 110615, 19732, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 17297, 29295, 31431, 5486, 124042, 9554, 102052, 60868, 125135, 29295, 115389, 16995, 115717, 71289, 107436, 114732, 45829, 32977, 61689, 9174, 107943, 39177, 15682, 111476, 23187, 23538, 112535, 60868, 125135, 29295, 198, 105465, 102800, 32149, 104655, 102532, 122765, 38144, 72315, 9174, 66378, 20230, 103167, 48864, 116358, 127032, 127282, 72238, 74245, 26854, 105879, 110371, 25580, 103296, 13177, 105465, 102800, 76864, 19732, 78244, 106358, 110115, 16995, 112495, 31431, 13177, 105465, 106624, 100604, 10646, 20230, 124500, 30369, 39177, 115991, 33541, 9174, 58426, 39177, 5486, 114667, 15682, 36668, 20230, 19, 59739, 16556, 198, 13177, 47260, 113335, 20230, 113799, 109115, 59712, 60868, 125135, 16144, 98915, 104067, 19732, 83601, 100, 103001, 102, 56051, 59712, 60868, 125135, 29295, 17905, 46034, 47884, 105110, 100604, 59712, 106081, 40862, 117158, 110615, 10646, 36785, 106046, 61689, 9174, 119869, 16144, 17, 59739, 114556, 39926, 15682, 82973, 29295, 50338, 104662, 39926, 120700, 33541, 9174, 53900, 114225, 20230, 13177, 105465, 102800, 76864, 20230, 114941, 104533, 91763, 61689, 9174, 13177, 60868, 125135, 29295, 17905, 46034, 47884, 105110, 100604, 59712, 106081, 40862, 117158, 110615, 111329, 85701, 33503, 114556, 39926, 15682, 5486, 41642, 111842, 57106, 115694, 105994, 29295, 17905, 46034, 111769, 19732, 104736, 109375, 39926, 105898, 38574, 106090, 36785, 106046, 61689, 1811, 108064, 32977, 104575, 77181, 50211, 50667, 26854, 110115, 5486, 60868, 125135, 77181, 17905, 46034, 26854, 114754, 106081, 40862, 20230, 121771, 98369, 20834, 38144, 105994, 15682, 114715, 67016, 20834, 110615, 120266, 71634, 108744, 30512, 112391, 100934, 105272, 106046, 61689, 9174, 107943, 110018, 15682, 114715, 16144, 82973, 72661, 104712, 105879, 112160, 114262, 20230, 60868, 125135, 16144, 115541, 108710, 30512, 39926, 122765, 38144, 72315, 9174, 80539, 13177, 114387, 20230, 17905, 46034, 110276, 16144, 32351, 91006, 19732, 121771, 98369, 106782, 240, 107436, 122765, 38144, 72315, 9174, 127032, 104067, 10110, 66378, 20230, 103167, 48864, 8107, 119735, 5486, 47260, 113335, 20230, 106782, 240, 62004, 110071, 105755, 33334, 104503, 98369, 33334, 103760, 98369, 20230, 106782, 240, 62004, 110071, 112973, 15120, 87217, 115003, 231, 102800, 38641, 9174, 567, 63415, 114626, 20230, 10110, 89783, 111813, 23954, 113587, 60868, 125135, 121960, 198, 121837, 15682, 78943, 123671, 33541, 198, 107420, 60868, 125135, 115350, 16144, 102616, 77181, 5486, 59614, 101860, 15024, 32977, 121837, 29295, 78943, 126832, 32149, 102677, 19732, 64889, 78244, 118765, 105494, 15682, 57903, 33541, 29295, 5486, 113587, 60868, 125135, 121960, 15682, 64889, 78244, 125545, 9174, 88852, 127880, 106613, 111186, 111813, 38641, 9174, 86127, 29295, 47260, 113335, 30512, 27704, 109013, 119869, 16144, 116358, 100927, 58942, 45829, 16556, 120268, 104575, 21, 8107, 21990, 16556, 96356, 101544, 29295, 5894, 105017, 251, 67016, 103470, 5486, 115612, 20230, 102780, 29295, 103856, 16995, 113334, 72661, 103470, 5486, 17663, 48154, 16995, 57933, 29220, 122842, 107407, 113334, 72661, 100604, 115350, 125001, 79721, 9174, 61826, 101477, 102, 47260, 113335, 20230, 104655, 126145, 5486, 16, 8107, 21990, 55031, 101860, 104043, 119695, 102669, 102052, 20834, 33121, 101860, 123334, 107436, 114732, 16144, 77181, 11571, 19732, 64209, 55487, 107113, 102131, 38641, 9174, 80673, 103031, 15682, 5486, 124884, 30369, 100909, 103470, 75146, 17920, 236, 115541, 108710, 30512, 17486, 254, 121140, 5486, 108064, 32977, 103856, 62004, 20230, 111134, 65299, 102860, 20230, 50834, 38144, 37026, 36668, 115541, 30512, 109768, 79721, 9174, 103031, 15682, 114652, 115408, 16144, 25580, 16556, 37823, 52591, 103906, 94550, 30512, 24326, 104, 105651, 39926, 120700, 79721, 1811, 32149, 42891, 22957, 104712, 83301, 30512, 109134, 113334, 72661, 103470, 5486, 90620, 104328, 28713, 17663, 33503, 20230, 108729, 20230, 112427, 103350, 26854, 37823, 52591, 103906, 94550, 38641, 9174, 86127, 29295, 13177, 111575, 16556, 99849, 18904, 108608, 16144, 91006, 19732, 104655, 126145, 103031, 15682, 13177, 3101, 15, 18904, 66383, 106608, 58942, 79721, 9174, 37656, 74245, 121602, 50834, 79721, 101832, 115408, 102052, 3101, 15, 18904, 32977, 37823, 52591, 103906, 94550, 123410, 120766, 48634, 120937, 38641, 55031, 101832, 49838, 198, 107943, 103031, 15682, 5486, 21, 8107, 21990, 114626, 16144, 119695, 102669, 16556, 105068, 122532, 21, 87217, 103672, 93488, 78459, 103306, 37087, 106081, 40862, 52591, 33710, 20834, 75267, 16556, 109224, 112345, 104622, 104284, 5486, 72099, 112345, 20834, 75267, 16144, 80195, 107734, 30046, 104856, 107462, 79721, 9174, 85701, 29295, 113587, 60868, 125135, 38641, 9174, 50834, 104043, 51330, 44971, 104603, 72369, 109554, 30512, 104284, 43514, 18655, 100472, 106613, 111186, 15682, 103031, 125030, 76947, 111575, 16144, 112686, 106518, 104856, 103836, 123253, 9174, 44971, 104603, 72369, 109554, 30512, 104284, 43514, 18655, 30369, 102677, 106613, 111186, 15682, 104575, 77181, 118765, 111828, 30358, 26854, 106613, 111186, 38641, 9174, 85701, 127105, 29295, 108638, 33014, 114300, 83301, 16144, 103424, 30813, 116787, 5486, 105194, 235, 105194, 238, 103868, 118816, 122571, 91763, 61689, 1811, 128001, 128000, 44971, 38248, 115, 48552, 16144, 103826, 20230, 46034, 103991, 54926, 113334, 111769, 5486, 103984, 48634, 18904, 109095, 5486, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 109853, 104873, 115694, 123011, 62004, 79721, 9174, 14711, 220, 20713, 59983, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 107118, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 15682, 117032, 16144, 109713, 47307, 110548, 111999, 78525, 107118, 121953, 5486, 119389, 26854, 109713, 47307, 110548, 111999, 16556, 64936, 115716, 30512, 104721, 83799, 107726, 10110, 111629, 20713, 65459, 15120, 39177, 112535, 60358, 103984, 71289, 108267, 103984, 16144, 23602, 230, 108881, 100543, 107, 37656, 117824, 30297, 103984, 48634, 111983, 37656, 41007, 16144, 100909, 38641, 59459, 111629, 25963, 23954, 111629, 20713, 5232, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 11883, 111999, 78525, 30512, 99741, 11883, 56051, 64936, 115716, 198, 30591, 17663, 64121, 29295, 118801, 106150, 102212, 102701, 70626, 114687, 119361, 102212, 101772, 41920, 105408, 104908, 198, 119389, 26854, 109713, 47307, 110548, 111999, 78525, 16556, 64936, 115716, 30512, 104721, 83799, 107726, 100934, 1811, 48915, 39926, 117758, 60358, 103984, 16144, 100543, 107, 37656, 8239, 114503, 15682, 23, 82973, 21909, 1927, 82973, 113314, 16556, 5486, 99741, 11883, 30512, 71289, 62004, 104984, 64936, 115716, 83799, 103397, 32977, 24186, 20230, 114941, 30369, 9174, 111629, 25963, 5232, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 11883, 111999, 78525, 198, 32131, 41758, 127020, 116806, 114740, 118804, 67075, 103672, 64178, 9458, 35083, 119895, 83301, 123160, 30177, 109835, 114300, 83301, 71289, 5486, 102212, 79059, 9458, 60868, 125135, 123160, 120843, 59657, 113, 16144, 127181, 102571, 48915, 117501, 17297, 114300, 83301, 104309, 5486, 124011, 109089, 16325, 16144, 100543, 107, 37656, 41007, 103306, 32977, 109431, 106608, 54926, 9174, 108744, 122835, 16144, 104521, 101129, 105351, 33563, 70349, 115350, 71289, 5486, 29741, 115641, 121995, 106732, 115350, 32977, 23039, 103836, 59459, 198, 14711, 220, 25963, 59983, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 115247, 39850, 37823, 67075, 15682, 198, 82973, 119379, 77181, 101182, 29295, 112160, 39177, 112535, 103984, 48634, 29295, 18904, 109095, 54926, 103846, 5486, 124011, 109089, 115350, 71289, 35083, 119895, 46729, 29295, 107740, 54926, 9174, 14711, 220, 34617, 59983, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 115247, 68408, 39850, 37823, 67075, 15682, 198, 20713, 7705, 106198, 244, 48634, 16144, 105284, 19732, 9080, 32943, 104721, 91875, 198, 103309, 56965, 16144, 103984, 48634, 16144, 103167, 17297, 5486, 103984, 48634, 16144, 9080, 32943, 104721, 91875, 71289, 47260, 52414, 32131, 71634, 99750, 27479, 16144, 103167, 17297, 111848, 102944, 29295, 15682, 121381, 31431, 21105, 103, 16995, 104309, 29295, 21990, 100204, 30369, 107803, 115991, 33541, 1811, 103984, 48634, 16144, 105284, 10110, 91774, 58942, 24273, 119735, 102701, 117785, 71289, 109713, 47307, 110548, 111999, 78525, 105755, 8239, 96, 31431, 33541, 9174, 25963, 7705, 56055, 240, 115716, 108502, 104698, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 11883, 111999 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 60868, 125135, 19732, 101544, 16995, 82973, 114308, 40862, 107462, 76947, 102717, 102800, 106046, 76947, 61689, 9174, 77693, 102052, 83747, 26854, 55031, 101860, 33334, 104503, 98369, 33334, 103760, 115867, 60868, 121057, 29295, 109215, 38641, 106609, 77693, 77181, 5486, 60868, 125135, 30512, 27704, 109013, 122416, 112197, 45829, 103826, 114792, 59739, 33334, 104503, 98369, 33334, 103760, 121944, 108608, 17, 118821, 60868, 121057, 14, 39850, 114483, 33710, 120456, 76171, 45923, 104817, 30512, 50338, 108323, 109768, 105898, 16995, 106046, 61689, 9174, 567, 63415, 127032, 16144, 13177, 113727, 118587, 104655, 47884, 198, 110993, 79982, 26854, 16906, 111, 21105, 243, 19732, 110993, 79982, 26854, 106045, 104063, 30512, 30358, 25827, 100204, 28713, 11881, 242, 16144, 105964, 38093, 39276, 68759, 76171, 45923, 15682, 108031, 109215, 100604, 38641, 9174, 113146, 15682, 104721, 116547, 79721, 9174, 117952, 103468, 106592, 31374, 248, 74245, 20230, 22957, 110214, 5486, 25287, 20230, 123451, 234, 115464, 115789, 19732, 111243, 27384, 102769, 32149, 110241, 33121, 107515, 29295, 115515, 16144, 113146, 15682, 37026, 33503, 78698, 107290, 5486, 23226, 106594, 109768, 47884, 105908, 105755, 32018, 62004, 124195, 61689, 9174, 115350, 16144, 37689, 91774, 30512, 104655, 47884, 112772, 85701, 15682, 109134, 26854, 32351, 126194, 124563, 112371, 102131, 56051, 32149, 29295, 107693, 38641, 9174, 37271, 77181, 5486, 34048, 76706, 16556, 61826, 101477, 102, 19732, 74482, 101477, 102, 29295, 113850, 103424, 47884, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 103836, 110783, 15682, 117902, 106624, 124897, 15024, 5486, 115364, 113727, 30512, 110408, 15024, 47000, 105784, 121142, 103470, 5486, 115350, 16144, 113727, 30512, 21105, 96, 107277, 19732, 104655, 102532, 5486, 56965, 108010, 107462, 104984, 77693, 113115, 39926, 107461, 52414, 30512, 58318, 58942, 5486, 115350, 37026, 33503, 20230, 103899, 58942, 30512, 113727, 124545, 64467, 106839, 30046, 29295, 115079, 107290, 61689, 9174, 58426, 104721, 33208, 112197, 32149, 102639, 16556, 5486, 104509, 51385, 104063, 115350, 119775, 605, 31640, 16556, 102616, 55031, 26130, 30832, 107001, 115350, 29295, 102433, 55031, 45918, 243, 21990, 15024, 27704, 62004, 100934, 16144, 38641, 9174, 27452, 116285, 5486, 32977, 21105, 232, 45829, 103826, 29295, 106081, 40862, 16325, 71289, 115541, 108710, 126867, 101198, 22398, 30512, 39926, 114604, 104983, 124563, 104127, 58426, 57326, 110494, 126198, 32149, 104655, 102532, 122765, 38144, 72315, 9174, 31809, 104575, 103167, 48864, 116358, 115350, 72661, 37689, 48915, 19732, 21105, 96, 107277, 78698, 107290, 61689, 9174, 58426, 103899, 58942, 29295, 17620, 55031, 103470, 111243, 5486, 125845, 56965, 108010, 76947, 102532, 32977, 111476, 26854, 104127, 101198, 22398, 126198, 104865, 198, 78698, 107800, 106592, 106782, 240, 107436, 122765, 38144, 72315, 9174, 103899, 107800, 29295, 78183, 55031, 103470, 111243, 27384, 121313, 38641, 9174, 33671, 16144, 115541, 108710, 71289, 106081, 40862, 16556, 47260, 113335, 20230, 198, 13177, 78698, 107800, 10646, 106592, 47260, 113335, 20230, 87177, 17663, 104466, 108044, 107290, 122765, 38144, 72315, 9174, 37656, 50338, 20230, 106839, 47884, 112973, 64467, 106839, 112919, 107734, 30832, 38641, 55031, 32351, 198, 116900, 32977, 61994, 31431, 16556, 5486, 104712, 57326, 110494, 118816, 47260, 113335, 20230, 106782, 240, 62004, 109115, 107803, 32977, 117119, 29295, 57980, 102518, 104865, 78698, 105262, 105908, 27384, 102769, 38641, 9174, 26854, 105879, 5486, 106081, 40862, 71289, 115541, 108710, 104088, 120650, 76622, 104435, 126513, 111476, 13177, 110589, 47260, 113335, 20230, 106782, 240, 62004, 109115, 91006, 110162, 104655, 102532, 64121, 38144, 72315, 9174, 106782, 240, 62004, 102204, 101732, 126513, 5486, 50834, 104043, 78683, 47260, 78683, 47260, 21105, 103, 29295, 33503, 87177, 39926, 120700, 33541, 106609, 27929, 127564, 13177, 67645, 103171, 57326, 110494, 103351, 16144, 91006, 19732, 59614, 101860, 106384, 65575, 66953, 48552, 39926, 122765, 38144, 72315, 9174, 64780, 78698, 107800, 106592, 101335, 84477, 20230, 102181, 47884, 108710, 101557, 96, 107407, 102083, 16995, 125651, 32351, 198, 85701, 15682, 103167, 48864, 8107, 102052, 103856, 117714, 77181, 11571, 11571, 119150, 32149, 110241, 33121, 107515, 29295, 120268, 104575, 103167, 48864, 116358, 38574, 106090, 16556, 198, 13177, 78698, 105262, 66383, 95604, 23706, 244, 29295, 47000, 119188, 19732, 41642, 111331, 45829, 104067, 20230, 107188, 111331, 104364, 116825, 105784, 105908, 125545, 124845, 37271, 123470, 17792, 21990, 121960, 32977, 59614, 101860, 107734, 80195, 59739, 116497, 38641, 9174, 85701, 15682, 115408, 16144, 106613, 111186, 119627, 31809, 104575, 16, 8107, 21990, 74482, 103268, 120264, 55031, 115364, 113727, 114792, 76947, 57326, 110494, 108608, 124863, 112384, 102717, 33503, 20834, 38144, 50834, 33541, 9174, 31809, 104575, 17, 8107, 21990, 77181, 60868, 26269, 71493, 25005, 236, 84477, 20230, 115364, 57326, 110494, 16144, 95543, 66870, 28542, 71289, 23226, 106594, 28542, 30512, 102181, 105784, 101200, 115717, 33541, 9174, 108056, 19732, 64467, 106839, 15024, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 18655, 104984, 127032, 104067, 15682, 106608, 107290, 120700, 33541, 9174, 567, 63415, 60868, 125135, 29295, 120111, 32149, 104655, 47884, 198, 102321, 31640, 16144, 31809, 104575, 104378, 10110, 66378, 20230, 103167, 48864, 8107, 119735, 13177, 50211, 50667, 118587, 30358, 25827, 100204, 103188, 105557, 127280, 9174, 100927, 58942, 121240, 117401, 38093, 104088, 20230, 16995, 126145, 107263, 114300, 102149, 16556, 110480, 25129, 116825, 76622, 104435, 31431, 5486, 48864, 117813, 38093, 16144, 36668, 107734, 29295, 109242, 9039, 107991, 50667, 90578, 80673, 5486, 60868, 125135, 16556, 106081, 40862, 117158, 104028, 17792, 9039, 15682, 104662, 17129, 76947, 61689, 9174, 47260, 113335, 103306, 15682, 112073, 30512, 106081, 40862, 117158, 39926, 122765, 106956, 16144, 119627, 110745, 102769, 26854, 106081, 40862, 101983, 104984, 109020, 108680, 108048, 29295, 103082, 103470, 109020, 112973, 102321, 103350, 38641, 9174, 120550, 104533, 5486, 114300, 106106, 101983, 33121, 126386, 127032, 127282, 106081, 40862, 117158, 110615, 19732, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 17297, 29295, 31431, 5486, 124042, 9554, 102052, 60868, 125135, 29295, 115389, 16995, 115717, 71289, 107436, 114732, 45829, 32977, 61689, 9174, 107943, 39177, 15682, 111476, 23187, 23538, 112535, 60868, 125135, 29295, 198, 105465, 102800, 32149, 104655, 102532, 122765, 38144, 72315, 9174, 66378, 20230, 103167, 48864, 116358, 127032, 127282, 72238, 74245, 26854, 105879, 110371, 25580, 103296, 13177, 105465, 102800, 76864, 19732, 78244, 106358, 110115, 16995, 112495, 31431, 13177, 105465, 106624, 100604, 10646, 20230, 124500, 30369, 39177, 115991, 33541, 9174, 58426, 39177, 5486, 114667, 15682, 36668, 20230, 19, 59739, 16556, 198, 13177, 47260, 113335, 20230, 113799, 109115, 59712, 60868, 125135, 16144, 98915, 104067, 19732, 83601, 100, 103001, 102, 56051, 59712, 60868, 125135, 29295, 17905, 46034, 47884, 105110, 100604, 59712, 106081, 40862, 117158, 110615, 10646, 36785, 106046, 61689, 9174, 119869, 16144, 17, 59739, 114556, 39926, 15682, 82973, 29295, 50338, 104662, 39926, 120700, 33541, 9174, 53900, 114225, 20230, 13177, 105465, 102800, 76864, 20230, 114941, 104533, 91763, 61689, 9174, 13177, 60868, 125135, 29295, 17905, 46034, 47884, 105110, 100604, 59712, 106081, 40862, 117158, 110615, 111329, 85701, 33503, 114556, 39926, 15682, 5486, 41642, 111842, 57106, 115694, 105994, 29295, 17905, 46034, 111769, 19732, 104736, 109375, 39926, 105898, 38574, 106090, 36785, 106046, 61689, 1811, 108064, 32977, 104575, 77181, 50211, 50667, 26854, 110115, 5486, 60868, 125135, 77181, 17905, 46034, 26854, 114754, 106081, 40862, 20230, 121771, 98369, 20834, 38144, 105994, 15682, 114715, 67016, 20834, 110615, 120266, 71634, 108744, 30512, 112391, 100934, 105272, 106046, 61689, 9174, 107943, 110018, 15682, 114715, 16144, 82973, 72661, 104712, 105879, 112160, 114262, 20230, 60868, 125135, 16144, 115541, 108710, 30512, 39926, 122765, 38144, 72315, 9174, 80539, 13177, 114387, 20230, 17905, 46034, 110276, 16144, 32351, 91006, 19732, 121771, 98369, 106782, 240, 107436, 122765, 38144, 72315, 9174, 127032, 104067, 10110, 66378, 20230, 103167, 48864, 8107, 119735, 5486, 47260, 113335, 20230, 106782, 240, 62004, 110071, 105755, 33334, 104503, 98369, 33334, 103760, 98369, 20230, 106782, 240, 62004, 110071, 112973, 15120, 87217, 115003, 231, 102800, 38641, 9174, 567, 63415, 114626, 20230, 10110, 89783, 111813, 23954, 113587, 60868, 125135, 121960, 198, 121837, 15682, 78943, 123671, 33541, 198, 107420, 60868, 125135, 115350, 16144, 102616, 77181, 5486, 59614, 101860, 15024, 32977, 121837, 29295, 78943, 126832, 32149, 102677, 19732, 64889, 78244, 118765, 105494, 15682, 57903, 33541, 29295, 5486, 113587, 60868, 125135, 121960, 15682, 64889, 78244, 125545, 9174, 88852, 127880, 106613, 111186, 111813, 38641, 9174, 86127, 29295, 47260, 113335, 30512, 27704, 109013, 119869, 16144, 116358, 100927, 58942, 45829, 16556, 120268, 104575, 21, 8107, 21990, 16556, 96356, 101544, 29295, 5894, 105017, 251, 67016, 103470, 5486, 115612, 20230, 102780, 29295, 103856, 16995, 113334, 72661, 103470, 5486, 17663, 48154, 16995, 57933, 29220, 122842, 107407, 113334, 72661, 100604, 115350, 125001, 79721, 9174, 61826, 101477, 102, 47260, 113335, 20230, 104655, 126145, 5486, 16, 8107, 21990, 55031, 101860, 104043, 119695, 102669, 102052, 20834, 33121, 101860, 123334, 107436, 114732, 16144, 77181, 11571, 19732, 64209, 55487, 107113, 102131, 38641, 9174, 80673, 103031, 15682, 5486, 124884, 30369, 100909, 103470, 75146, 17920, 236, 115541, 108710, 30512, 17486, 254, 121140, 5486, 108064, 32977, 103856, 62004, 20230, 111134, 65299, 102860, 20230, 50834, 38144, 37026, 36668, 115541, 30512, 109768, 79721, 9174, 103031, 15682, 114652, 115408, 16144, 25580, 16556, 37823, 52591, 103906, 94550, 30512, 24326, 104, 105651, 39926, 120700, 79721, 1811, 32149, 42891, 22957, 104712, 83301, 30512, 109134, 113334, 72661, 103470, 5486, 90620, 104328, 28713, 17663, 33503, 20230, 108729, 20230, 112427, 103350, 26854, 37823, 52591, 103906, 94550, 38641, 9174, 86127, 29295, 13177, 111575, 16556, 99849, 18904, 108608, 16144, 91006, 19732, 104655, 126145, 103031, 15682, 13177, 3101, 15, 18904, 66383, 106608, 58942, 79721, 9174, 37656, 74245, 121602, 50834, 79721, 101832, 115408, 102052, 3101, 15, 18904, 32977, 37823, 52591, 103906, 94550, 123410, 120766, 48634, 120937, 38641, 55031, 101832, 49838, 198, 107943, 103031, 15682, 5486, 21, 8107, 21990, 114626, 16144, 119695, 102669, 16556, 105068, 122532, 21, 87217, 103672, 93488, 78459, 103306, 37087, 106081, 40862, 52591, 33710, 20834, 75267, 16556, 109224, 112345, 104622, 104284, 5486, 72099, 112345, 20834, 75267, 16144, 80195, 107734, 30046, 104856, 107462, 79721, 9174, 85701, 29295, 113587, 60868, 125135, 38641, 9174, 50834, 104043, 51330, 44971, 104603, 72369, 109554, 30512, 104284, 43514, 18655, 100472, 106613, 111186, 15682, 103031, 125030, 76947, 111575, 16144, 112686, 106518, 104856, 103836, 123253, 9174, 44971, 104603, 72369, 109554, 30512, 104284, 43514, 18655, 30369, 102677, 106613, 111186, 15682, 104575, 77181, 118765, 111828, 30358, 26854, 106613, 111186, 38641, 9174, 85701, 127105, 29295, 108638, 33014, 114300, 83301, 16144, 103424, 30813, 116787, 5486, 105194, 235, 105194, 238, 103868, 118816, 122571, 91763, 61689, 1811, 128001, 128000, 44971, 38248, 115, 48552, 16144, 103826, 20230, 46034, 103991, 54926, 113334, 111769, 5486, 103984, 48634, 18904, 109095, 5486, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 109853, 104873, 115694, 123011, 62004, 79721, 9174, 14711, 220, 20713, 59983, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 107118, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 15682, 117032, 16144, 109713, 47307, 110548, 111999, 78525, 107118, 121953, 5486, 119389, 26854, 109713, 47307, 110548, 111999, 16556, 64936, 115716, 30512, 104721, 83799, 107726, 10110, 111629, 20713, 65459, 15120, 39177, 112535, 60358, 103984, 71289, 108267, 103984, 16144, 23602, 230, 108881, 100543, 107, 37656, 117824, 30297, 103984, 48634, 111983, 37656, 41007, 16144, 100909, 38641, 59459, 111629, 25963, 23954, 111629, 20713, 5232, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 11883, 111999, 78525, 30512, 99741, 11883, 56051, 64936, 115716, 198, 30591, 17663, 64121, 29295, 118801, 106150, 102212, 102701, 70626, 114687, 119361, 102212, 101772, 41920, 105408, 104908, 198, 119389, 26854, 109713, 47307, 110548, 111999, 78525, 16556, 64936, 115716, 30512, 104721, 83799, 107726, 100934, 1811, 48915, 39926, 117758, 60358, 103984, 16144, 100543, 107, 37656, 8239, 114503, 15682, 23, 82973, 21909, 1927, 82973, 113314, 16556, 5486, 99741, 11883, 30512, 71289, 62004, 104984, 64936, 115716, 83799, 103397, 32977, 24186, 20230, 114941, 30369, 9174, 111629, 25963, 5232, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 11883, 111999, 78525, 198, 32131, 41758, 127020, 116806, 114740, 118804, 67075, 103672, 64178, 9458, 35083, 119895, 83301, 123160, 30177, 109835, 114300, 83301, 71289, 5486, 102212, 79059, 9458, 60868, 125135, 123160, 120843, 59657, 113, 16144, 127181, 102571, 48915, 117501, 17297, 114300, 83301, 104309, 5486, 124011, 109089, 16325, 16144, 100543, 107, 37656, 41007, 103306, 32977, 109431, 106608, 54926, 9174, 108744, 122835, 16144, 104521, 101129, 105351, 33563, 70349, 115350, 71289, 5486, 29741, 115641, 121995, 106732, 115350, 32977, 23039, 103836, 59459, 198, 14711, 220, 25963, 59983, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 115247, 39850, 37823, 67075, 15682, 198, 82973, 119379, 77181, 101182, 29295, 112160, 39177, 112535, 103984, 48634, 29295, 18904, 109095, 54926, 103846, 5486, 124011, 109089, 115350, 71289, 35083, 119895, 46729, 29295, 107740, 54926, 9174, 14711, 220, 34617, 59983, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 115247, 68408, 39850, 37823, 67075, 15682, 198, 20713, 7705, 106198, 244, 48634, 16144, 105284, 19732, 9080, 32943, 104721, 91875, 198, 103309, 56965, 16144, 103984, 48634, 16144, 103167, 17297, 5486, 103984, 48634, 16144, 9080, 32943, 104721, 91875, 71289, 47260, 52414, 32131, 71634, 99750, 27479, 16144, 103167, 17297, 111848, 102944, 29295, 15682, 121381, 31431, 21105, 103, 16995, 104309, 29295, 21990, 100204, 30369, 107803, 115991, 33541, 1811, 103984, 48634, 16144, 105284, 10110, 91774, 58942, 24273, 119735, 102701, 117785, 71289, 109713, 47307, 110548, 111999, 78525, 105755, 8239, 96, 31431, 33541, 9174, 25963, 7705, 56055, 240, 115716, 108502, 104698, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 11883, 111999 ]
[ 78525, 15682, 103309, 56965, 99741, 11883, 29295, 108608, 104466, 5486, 108008, 20230, 108602, 72238, 108950, 103188, 118463, 16144, 126574, 72238, 103234, 55031, 103082, 127280, 109900, 72661, 64936, 115716, 109432, 34048, 20230, 121819, 48634, 119707, 76622, 106272, 16144, 103309, 56965, 99741, 11883, 15682, 112997, 29220, 30512, 112183, 16995, 5486, 64936, 115716, 103558, 108, 114431, 235, 123160, 64936, 115716, 108502, 104698, 29295, 125119, 30369, 30926, 115991, 33541, 9174, 34617, 7705, 106156, 115144, 16144, 21980, 248, 33121, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 11883, 111999, 78525, 15682, 108602, 72238, 108950, 103188, 34171, 29295, 126574, 72238, 103234, 16144, 103846, 21980, 248, 33121, 29295, 114308, 126172, 47884, 5486, 66378, 20230, 111999, 78525, 32943, 28190, 16144, 21980, 248, 33121, 102052, 61633, 29295, 109215, 38641, 1811, 21980, 248, 33121, 107809, 102052, 104398, 115686, 29295, 61689, 105879, 5486, 111999, 78525, 16144, 22957, 17663, 31431, 108914, 16995, 104309, 15682, 59614, 101860, 23039, 16995, 5486, 111999, 78525, 126465, 16144, 108914, 27699, 226, 19732, 119455, 103809, 98, 30512, 103801, 109954, 9174, 46702, 7705, 53606, 109, 16995, 60358, 103984, 67016, 100543, 107, 37656, 118765, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 111848, 23602, 230, 108881, 100543, 107, 37656, 29295, 114392, 20230, 8239, 114503, 30512, 20379, 17663, 104468, 5486, 121568, 104364, 32977, 57903, 33541, 29295, 5486, 60358, 103984, 127303, 104984, 39850, 102472, 102750, 16144, 27479, 9039, 16556, 72342, 16995, 112371, 16995, 46702, 35, 10110, 121714, 57326, 102514, 7705, 103296, 38641, 1811, 23602, 230, 108881, 108901, 40053, 16144, 113314, 29295, 119448, 115737, 104984, 109020, 108680, 5486, 103293, 5486, 111999, 78525, 30512, 48915, 39926, 117758, 60358, 103984, 111363, 114941, 31431, 32977, 119448, 47884, 112160, 9080, 107809, 16556, 91774, 58942, 24273, 32977, 104721, 33208, 78434, 1811, 122270, 104195, 27479, 16144, 60358, 103984, 100543, 107, 37656, 117824, 26854, 30297, 64936, 115716, 100543, 107, 37656, 11883, 111999, 78525, 30512, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 107118, 108901, 109020, 120613, 16556, 107322, 108044, 103792, 16144, 104088, 32149, 105784, 115789, 57903, 33541, 29295, 115847, 32977, 53229, 22649, 15682, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 19732, 117864, 47884, 126419, 16556, 5486, 64936, 115716, 108502, 104698, 71289, 60358, 103984, 111363, 114941, 31431, 112160, 9080, 107809, 113245, 91774, 58942, 24273, 16144, 104721, 33208, 102083, 100472, 109606, 15682, 5486, 122270, 119448, 115737, 104533, 113727, 102204, 33541, 9174, 44597, 7705, 111971, 23538, 109904, 111800, 112984, 29295, 109215, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 15682, 109713, 47307, 110548, 111999, 78525, 38641, 55031, 112672, 23187, 23538, 111800, 112984, 29295, 109215, 38641, 1811, 64936, 115716, 20230, 121819, 48634, 119707, 107441, 103309, 56965, 99741, 11883, 54926, 102677, 112997, 29220, 16144, 126574, 119389, 26854, 109713, 47307, 110548, 111999, 78525, 103195, 106592, 104736, 109375, 21105, 103, 118145, 26854, 31431, 107515, 1811, 117120, 24273, 126101, 30297, 17129, 47884, 111999, 78525, 29295, 106384, 26269, 103906, 94550, 103646, 103306, 32977, 5486, 81258, 121120, 126867, 111999, 78525, 29295, 101860, 106824, 114732, 107803, 115991, 33541, 1811, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 15682, 64936, 115716, 16144, 104356, 20230, 103424, 53901, 20230, 106384, 26269, 103906, 94550, 103646, 126101, 103984, 48634, 29295, 23226, 106594, 54926, 104466, 113404, 110731, 103846, 5486, 111999, 78525, 29295, 104356, 55031, 101860, 103468, 110674, 100543, 107, 37656, 84389, 104533, 16937, 37656, 108267, 103984, 29295, 72718, 50834, 38144, 103424, 53901, 26854, 103984, 123457, 50928, 30369, 105908, 103082, 107515, 118855, 5486, 64936, 115716, 108502, 104698, 16144, 113385, 107173, 26854, 31431, 33541, 1811, 64936, 115716, 108502, 104698, 16144, 103911, 103181, 71289, 5486, 103424, 53901, 26854, 103984, 48634, 111983, 37656, 8239, 114503, 30512, 33563, 59739, 113009, 23187, 23538, 111800, 112984, 15682, 59614, 116156, 121711, 33541, 3490, 9458, 103309, 122756, 103984, 48634, 29295, 17297, 29295, 30369, 5486, 9080, 16325, 32977, 103984, 48634, 29295, 51385, 23187, 21105, 103, 16995, 107803, 107407, 198, 9458, 109713, 47307, 110548, 111999, 78525, 108680, 103984, 48634, 29295, 115442, 30369, 113334, 111769, 198, 9458, 64936, 115716, 103558, 108, 114431, 235, 123160, 64936, 115716, 108502, 104698, 112197, 112997, 29220, 29295, 19361, 30369, 198, 9458, 112294, 16995, 60358, 103984, 67016, 100543, 107, 37656, 118765, 198, 9458, 111800, 112984, 29295, 109215, 198, 127587, 240, 59739, 109709, 5486, 40053, 20230, 103242, 104599, 16144, 60868, 121057, 29295, 109947, 124490, 26854, 105879, 5486, 44971, 38248, 115, 48552, 119775, 127637, 71289, 104984, 5486, 103991, 74482, 85707, 23538, 16144, 23187, 23538, 111800, 112984, 30512, 21418, 76622, 81219, 33035, 94923, 15682, 113473, 102677, 113334, 126194, 5486, 103984, 48634, 18904, 109095, 20251, 44971, 118928, 94550, 119775, 105994, 16556, 108608, 104309, 5486, 68408, 39850, 37823, 67075, 108270, 42634, 111769, 9174, 14711, 220, 123011, 62004, 198, 9458, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 111848, 103984, 48634, 18904, 109095, 15682, 15120, 39177, 109904, 102944, 16556, 5486, 118850, 40053, 109904, 102944, 16556, 100604, 9174, 9458, 15120, 39177, 112535, 103984, 123457, 109415, 30369, 102944, 26854, 105879, 115132, 22398, 37823, 84477, 70141, 50834, 127587, 240, 108936, 114754, 118850, 40053, 112535, 103984, 48634, 18904, 109095, 123410, 102052, 37087, 47884, 16937, 70141, 50834, 198, 9458, 40053, 20230, 103242, 104599, 16144, 60868, 121057, 29295, 109215, 26854, 105879, 108948, 35330, 29295, 32149, 117295, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 107118, 5486, 44971, 38248, 115, 48552, 108680, 5486, 103991, 123470, 112997, 29220, 29295, 83747, 100604, 102944, 16144, 5486, 44971, 38248, 115, 48552, 71289, 103984, 48634, 18904, 109095, 20251, 44971, 118928, 94550, 107118, 53900, 5486, 33655, 16995, 24273, 29295, 100909, 109020, 103984, 48634, 18904, 109095, 25333, 125651, 1811, 128001, 128000, 118899, 127091, 19732, 87177, 104482, 16144, 3910, 47, 12, 16, 124807, 76739, 67075, 9174, 112073, 118969, 32977, 50, 2507, 16556, 30832, 117657, 101513, 38093, 29295, 115079, 107800, 16144, 111769, 123253, 32149, 9174, 80673, 36896, 126920, 124807, 76739, 67075, 8239, 114503, 107407, 104865, 59712, 105509, 34171, 15682, 104405, 113461, 103950, 1981, 111329, 108895, 16995, 100472, 127408, 32977, 101182, 106046, 61689, 9174, 102971, 105242, 55031, 102782, 15024, 109415, 33541, 19732, 5486, 3910, 47, 12, 16, 124807, 76739, 67075, 15682, 33014, 30358, 114485, 83747, 8239, 114503, 115991, 33541, 9174, 103350, 104983, 127164, 119008, 103242, 117434, 25446, 91077, 82169, 72661, 117178, 112624, 71005, 109519, 117434, 103306, 104736, 31540, 114475, 107441, 61689, 9174, 80673, 5486, 3910, 47, 12, 16, 124807, 76739, 67075, 15682, 68408, 39850, 37823, 67075, 71289, 109688, 117126, 34171, 29295, 45736, 117714, 32977, 30926, 103350, 38641, 9174, 26130, 105644, 30512, 76537, 59739, 121142, 108740, 112535, 101576, 102, 122101, 9174, 114387, 112368, 120950, 105908, 101182, 105110, 101083, 107809, 16144, 114754, 124807, 76739, 67075, 20230, 110482, 30369, 109335, 124897, 123794, 9174, 37656, 74245, 26130, 105644, 30512, 76537, 59739, 112772, 109134, 125231, 109335, 121771, 98369, 57903, 33541, 9174, 37271, 18904, 15682, 36896, 3910, 47, 12, 16, 124807, 76739, 67075, 16144, 8239, 114503, 10646, 71289, 13177, 105509, 34171, 10646, 109853, 50520, 111, 106624, 50338, 108323, 109768, 105898, 16995, 106046, 61689, 9174, 567, 5705, 47, 12, 16, 124807, 76739, 67075, 107118, 198, 3910, 47, 12, 16, 124807, 76739, 67075, 107118, 5486, 3910, 47, 12, 16, 10110, 101576, 102, 72342, 103927, 33710, 124373, 7705, 30512, 33014, 20230, 108167, 17701, 104028, 118733, 102456, 111654, 30512, 126128, 58942, 5486, 83747, 100604, 102456, 30926, 33857, 72661, 114392, 112624, 102780, 108608, 121894, 19732, 15024, 5486, 102456, 30926, 33857, 30512, 114485, 33503, 21105, 103, 29295, 33503, 114485, 33857, 54926, 41007, 16144, 106592, 64467, 78434, 9174, 103350, 104983, 3910, 47, 4235, 16, 15682, 115132, 114740, 119008, 103242, 117434, 25446, 91077, 82169, 72661, 117178, 112624, 71005, 109519, 117434, 103306, 104736, 31540, 114475, 107441, 61689, 9174, 102433, 77181, 3910, 47, 4235, 16, 15682, 117587, 126017, 103429, 71005, 109519, 117434, 103306, 104736, 31540, 116216, 61689, 9174, 80673, 117178, 112624, 71005, 109519, 117434, 103306, 15682, 39442, 105005, 104736, 16144, 103846, 107167, 122842, 104309, 77181, 37026, 106382, 120761, 109519, 121711, 33541, 9174, 77181, 103350, 104983, 20230, 3910, 47, 12, 16, 124807, 76739, 67075, 102052, 5486, 67645, 120950, 8239, 114503, 107407, 104865, 95221, 115717, 33541, 123794, 9174, 567, 5705, 47, 12, 16, 124807, 76739, 67075, 16144, 8239, 114503, 109853, 198, 110382, 126328, 3910, 47, 12, 16, 124807, 76739, 67075, 16144, 8239, 114503, 109853, 50520, 111, 106624, 122984, 109768, 50834, 33541, 9174, 36668, 20230, 3910, 47, 12, 16, 124807, 76739, 67075, 102052, 5486, 17905, 61304, 120950, 8239, 114503, 107407, 19732, 117952, 106824, 61689, 9174, 91939, 225, 55031, 101921, 116, 111363, 61056, 20834, 30512, 30250, 227, 117063, 5486, 112624, 113351, 99750, 114792, 106307, 124545, 103846, 83747, 33857, 16144, 102456, 30926, 16556, 112624, 102780, 125545, 9174, 53900, 5486, 121496, 57942, 103, 17620, 50338, 19732, 107969, 106518, 21990, 30512, 113096, 103130, 107726, 121496, 57942, 103, 114887, 123307, 8239, 114503, 32977, 125494, 84389, 33541, 9174, 51330, 104466, 3910, 47, 12, 16, 124807, 76739, 67075, 15682, 112160, 91774, 124807, 76739, 67075, 8239, 114503, 32977, 45736, 47884, 39850, 37823, 67075, 29295, 127181, 104371, 47523, 32977, 101682, 76622, 33541, 29295, 109688, 117126, 34171, 71289, 68408, 39850, 37823, 67075, 29295, 43240, 117714, 32977, 105184, 32149, 38641, 9174, 567, 5705, 47, 12, 16, 124807, 76739, 67075, 16144, 109688, 117126, 34171, 198, 106307, 102532, 15682, 5486, 3910, 47, 12, 16, 124807, 76739, 67075, 16144, 109688, 117126, 34171, 109853, 50520, 111, 106624, 50338, 108323, 109768, 50834, 33541, 9174, 61826, 39607, 122984, 56051, 104466, 5486, 3910, 47, 12, 16, 15682, 127164, 77181, 117178, 112624, 71005, 109519, 117434, 103306, 104736, 31540, 114475, 107441, 61689, 29295, 123085, 77181, 117587, 126017, 103429, 71005, 109519, 117434, 103306, 33655, 78183, 106824, 108086, 117178, 112624, 71005, 109519, 117434, 103306, 15682, 104736, 31540, 84389, 100481, 107515, 9174, 53900, 2366, 15, 8107, 22, 9953, 24, 117816, 102433, 117587, 126017, 103429, 124052, 15682, 51330, 105933, 91774, 50338, 30512, 125053, 127145, 9174, 121846, 25, 3910, 47, 12, 16, 101682, 37729, 33014, 19967, 91875, 117434, 109431, 106608, 48915, 38129, 123863, 102433, 117587, 126017, 103429, 124052, 16144, 91774, 50338, 198, 107963, 31634, 30512, 123011, 107436, 64121, 33541, 9174, 9458, 102433, 77181, 5486, 17, 4996, 24715, 117587, 126017, 103429, 71005, 109519, 116749, 20230, 105005, 104736, 103646, 5705, 47, 12, 220, 16, 120174, 37729, 33014, 19967, 91875, 117434, 15682, 48706, 21105, 103, 16995, 9174, 9458, 17, 4996, 24715, 117587, 126017, 103429, 30512, 19361, 30813, 100604, 102433, 17792, 122692, 105509, 34171, 19732, 19361, 126120, 34171, 15682, 114140, 84389, 126386, 9174, 9458, 16937, 109431, 102769, 26854, 117434, 21403, 97, 38129, 16144, 84851, 28194, 101, 15682, 104736, 62004, 102204, 100604, 9174, 51330, 104466, 102433, 117587, 126017, 103429, 124052, 77181, 5486, 58666, 37729, 9458, 101576, 102, 96356, 9458, 124807, 76739, 67075, 50667, 30512, 113173, 117408, 109431, 106608, 48915, 38129, 114556, 39926, 5486, 105509, 34171, 19732, 19361, 126120, 34171, 15682, 114140, 84389, 126386, 19732, 104970, 58655, 30512, 122173, 33503, 127145, 9174, 58426, 102717, 32149, 5486, 3910, 47, 12, 16, 124807, 76739, 67075, 16144, 68408, 39850, 37823, 67075, 103306, 15682, 119045, 109904, 117178, 112624, 16144, 71005, 109519, 102052, 105110, 100604, 100909, 104309, 29295, 122765, 102204, 33541, 9174, 117178, 112624, 16144, 36668, 26854, 113385, 103306, 15682, 5486, 125764, 103188, 105557, 71289, 117401, 127242, 104309, 38641, 9174, 3910, 47, 12, 16, 124807, 76739, 67075, 15682, 26130, 105644, 30512, 103792, 117232, 103378, 102456, 111654, 29295, 114485, 56906, 54926, 102677, 102944, 38641, 9174, 26130, 105644, 30512, 71289, 107436, 114604, 33503, 5486, 102456, 111654, 15682, 24186, 20230, 114941, 31431, 33541, 9174, 58426, 103846, 37823, 66953, 65299, 102860, 16144, 125396, 29295, 126574, 19732, 117952, 115032, 16144, 38641, 9174, 16325, 102052, 36896, 26130, 105644, 30512, 106307, 107674, 33503, 104712, 66383, 91763, 126832, 24273, 32977, 16995, 33503, 42891, 116826, 104533, 91763, 61689, 9174, 80673, 5486, 101544, 23538, 112535, 106307, 107674, 107803, 16144, 105509, 34171, 15682, 114140, 84389, 100481, 107515, 9174, 53900, 5486, 16, 113746, 17620, 16556, 20, 110743, 55031, 126574, 102944, 118816, 605, 110743, 32977, 32149, 117295, 103846, 47260, 71634, 28190, 72661, 102321, 103350, 9554, 77181, 124897, 9174, 51330, 104466, 5486, 3910, 47, 4235, 16, 124807, 76739, 67075, 15682, 109688, 117126, 34171, 71289, 37823, 66953, 65299, 102860, 123160, 68408, 39850, 37823, 67075, 32977, 43240, 47884, 48706, 54926, 105908, 31958, 33503, 32149, 115717, 79721, 101832, 9174, 567, 107289, 22398, 22398, 39850, 16144, 124807, 76739, 67075, 41007, 198, 112798, 103892, 72661, 33334, 87177, 15024, 121256, 29295, 5486, 26130, 105644, 30512, 76537, 59739, 121142, 101576, 102, 72342, 104028, 105110, 112832, 72661, 101128, 102, 104004, 100909, 103470, 101576, 102, 72342, 33121, 33541, 123794, 9174, 124807, 76739, 67075, 123410, 105110, 109688, 117126, 30512, 109373, 39926, 26130, 105644, 30512, 76537, 59739, 104468, 109688, 117126, 38641, 15024, 124807, 76739, 67075, 16144, 104622, 61826, 110480, 25129, 29295, 103167, 103188, 105557, 33541, 9174, 126843, 15682, 5486, 115364, 99046, 224, 18655, 76739, 124643, 104603, 11972, 33857, 30512, 102178, 111665, 15024, 163, 65620, 53610, 33208, 53953, 9458, 47307, 115695, 29220, 105284, 9458, 33334, 102212, 108171, 30512, 18, 102456, 125764, 30369, 100909, 55031, 27704, 62004, 17129, 109954, 9174, 104721, 20230, 71493, 42634, 102540, 30512, 114485, 124949, 120195, 104533, 95543, 91875, 16556, 125764, 120195 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 78525, 15682, 103309, 56965, 99741, 11883, 29295, 108608, 104466, 5486, 108008, 20230, 108602, 72238, 108950, 103188, 118463, 16144, 126574, 72238, 103234, 55031, 103082, 127280, 109900, 72661, 64936, 115716, 109432, 34048, 20230, 121819, 48634, 119707, 76622, 106272, 16144, 103309, 56965, 99741, 11883, 15682, 112997, 29220, 30512, 112183, 16995, 5486, 64936, 115716, 103558, 108, 114431, 235, 123160, 64936, 115716, 108502, 104698, 29295, 125119, 30369, 30926, 115991, 33541, 9174, 34617, 7705, 106156, 115144, 16144, 21980, 248, 33121, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 11883, 111999, 78525, 15682, 108602, 72238, 108950, 103188, 34171, 29295, 126574, 72238, 103234, 16144, 103846, 21980, 248, 33121, 29295, 114308, 126172, 47884, 5486, 66378, 20230, 111999, 78525, 32943, 28190, 16144, 21980, 248, 33121, 102052, 61633, 29295, 109215, 38641, 1811, 21980, 248, 33121, 107809, 102052, 104398, 115686, 29295, 61689, 105879, 5486, 111999, 78525, 16144, 22957, 17663, 31431, 108914, 16995, 104309, 15682, 59614, 101860, 23039, 16995, 5486, 111999, 78525, 126465, 16144, 108914, 27699, 226, 19732, 119455, 103809, 98, 30512, 103801, 109954, 9174, 46702, 7705, 53606, 109, 16995, 60358, 103984, 67016, 100543, 107, 37656, 118765, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 111848, 23602, 230, 108881, 100543, 107, 37656, 29295, 114392, 20230, 8239, 114503, 30512, 20379, 17663, 104468, 5486, 121568, 104364, 32977, 57903, 33541, 29295, 5486, 60358, 103984, 127303, 104984, 39850, 102472, 102750, 16144, 27479, 9039, 16556, 72342, 16995, 112371, 16995, 46702, 35, 10110, 121714, 57326, 102514, 7705, 103296, 38641, 1811, 23602, 230, 108881, 108901, 40053, 16144, 113314, 29295, 119448, 115737, 104984, 109020, 108680, 5486, 103293, 5486, 111999, 78525, 30512, 48915, 39926, 117758, 60358, 103984, 111363, 114941, 31431, 32977, 119448, 47884, 112160, 9080, 107809, 16556, 91774, 58942, 24273, 32977, 104721, 33208, 78434, 1811, 122270, 104195, 27479, 16144, 60358, 103984, 100543, 107, 37656, 117824, 26854, 30297, 64936, 115716, 100543, 107, 37656, 11883, 111999, 78525, 30512, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 107118, 108901, 109020, 120613, 16556, 107322, 108044, 103792, 16144, 104088, 32149, 105784, 115789, 57903, 33541, 29295, 115847, 32977, 53229, 22649, 15682, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 19732, 117864, 47884, 126419, 16556, 5486, 64936, 115716, 108502, 104698, 71289, 60358, 103984, 111363, 114941, 31431, 112160, 9080, 107809, 113245, 91774, 58942, 24273, 16144, 104721, 33208, 102083, 100472, 109606, 15682, 5486, 122270, 119448, 115737, 104533, 113727, 102204, 33541, 9174, 44597, 7705, 111971, 23538, 109904, 111800, 112984, 29295, 109215, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 15682, 109713, 47307, 110548, 111999, 78525, 38641, 55031, 112672, 23187, 23538, 111800, 112984, 29295, 109215, 38641, 1811, 64936, 115716, 20230, 121819, 48634, 119707, 107441, 103309, 56965, 99741, 11883, 54926, 102677, 112997, 29220, 16144, 126574, 119389, 26854, 109713, 47307, 110548, 111999, 78525, 103195, 106592, 104736, 109375, 21105, 103, 118145, 26854, 31431, 107515, 1811, 117120, 24273, 126101, 30297, 17129, 47884, 111999, 78525, 29295, 106384, 26269, 103906, 94550, 103646, 103306, 32977, 5486, 81258, 121120, 126867, 111999, 78525, 29295, 101860, 106824, 114732, 107803, 115991, 33541, 1811, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 15682, 64936, 115716, 16144, 104356, 20230, 103424, 53901, 20230, 106384, 26269, 103906, 94550, 103646, 126101, 103984, 48634, 29295, 23226, 106594, 54926, 104466, 113404, 110731, 103846, 5486, 111999, 78525, 29295, 104356, 55031, 101860, 103468, 110674, 100543, 107, 37656, 84389, 104533, 16937, 37656, 108267, 103984, 29295, 72718, 50834, 38144, 103424, 53901, 26854, 103984, 123457, 50928, 30369, 105908, 103082, 107515, 118855, 5486, 64936, 115716, 108502, 104698, 16144, 113385, 107173, 26854, 31431, 33541, 1811, 64936, 115716, 108502, 104698, 16144, 103911, 103181, 71289, 5486, 103424, 53901, 26854, 103984, 48634, 111983, 37656, 8239, 114503, 30512, 33563, 59739, 113009, 23187, 23538, 111800, 112984, 15682, 59614, 116156, 121711, 33541, 3490, 9458, 103309, 122756, 103984, 48634, 29295, 17297, 29295, 30369, 5486, 9080, 16325, 32977, 103984, 48634, 29295, 51385, 23187, 21105, 103, 16995, 107803, 107407, 198, 9458, 109713, 47307, 110548, 111999, 78525, 108680, 103984, 48634, 29295, 115442, 30369, 113334, 111769, 198, 9458, 64936, 115716, 103558, 108, 114431, 235, 123160, 64936, 115716, 108502, 104698, 112197, 112997, 29220, 29295, 19361, 30369, 198, 9458, 112294, 16995, 60358, 103984, 67016, 100543, 107, 37656, 118765, 198, 9458, 111800, 112984, 29295, 109215, 198, 127587, 240, 59739, 109709, 5486, 40053, 20230, 103242, 104599, 16144, 60868, 121057, 29295, 109947, 124490, 26854, 105879, 5486, 44971, 38248, 115, 48552, 119775, 127637, 71289, 104984, 5486, 103991, 74482, 85707, 23538, 16144, 23187, 23538, 111800, 112984, 30512, 21418, 76622, 81219, 33035, 94923, 15682, 113473, 102677, 113334, 126194, 5486, 103984, 48634, 18904, 109095, 20251, 44971, 118928, 94550, 119775, 105994, 16556, 108608, 104309, 5486, 68408, 39850, 37823, 67075, 108270, 42634, 111769, 9174, 14711, 220, 123011, 62004, 198, 9458, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 111848, 103984, 48634, 18904, 109095, 15682, 15120, 39177, 109904, 102944, 16556, 5486, 118850, 40053, 109904, 102944, 16556, 100604, 9174, 9458, 15120, 39177, 112535, 103984, 123457, 109415, 30369, 102944, 26854, 105879, 115132, 22398, 37823, 84477, 70141, 50834, 127587, 240, 108936, 114754, 118850, 40053, 112535, 103984, 48634, 18904, 109095, 123410, 102052, 37087, 47884, 16937, 70141, 50834, 198, 9458, 40053, 20230, 103242, 104599, 16144, 60868, 121057, 29295, 109215, 26854, 105879, 108948, 35330, 29295, 32149, 117295, 198, 90962, 33710, 102741, 102663, 32131, 20251, 42634, 76428, 11972, 107118, 5486, 44971, 38248, 115, 48552, 108680, 5486, 103991, 123470, 112997, 29220, 29295, 83747, 100604, 102944, 16144, 5486, 44971, 38248, 115, 48552, 71289, 103984, 48634, 18904, 109095, 20251, 44971, 118928, 94550, 107118, 53900, 5486, 33655, 16995, 24273, 29295, 100909, 109020, 103984, 48634, 18904, 109095, 25333, 125651, 1811, 128001, 128000, 118899, 127091, 19732, 87177, 104482, 16144, 3910, 47, 12, 16, 124807, 76739, 67075, 9174, 112073, 118969, 32977, 50, 2507, 16556, 30832, 117657, 101513, 38093, 29295, 115079, 107800, 16144, 111769, 123253, 32149, 9174, 80673, 36896, 126920, 124807, 76739, 67075, 8239, 114503, 107407, 104865, 59712, 105509, 34171, 15682, 104405, 113461, 103950, 1981, 111329, 108895, 16995, 100472, 127408, 32977, 101182, 106046, 61689, 9174, 102971, 105242, 55031, 102782, 15024, 109415, 33541, 19732, 5486, 3910, 47, 12, 16, 124807, 76739, 67075, 15682, 33014, 30358, 114485, 83747, 8239, 114503, 115991, 33541, 9174, 103350, 104983, 127164, 119008, 103242, 117434, 25446, 91077, 82169, 72661, 117178, 112624, 71005, 109519, 117434, 103306, 104736, 31540, 114475, 107441, 61689, 9174, 80673, 5486, 3910, 47, 12, 16, 124807, 76739, 67075, 15682, 68408, 39850, 37823, 67075, 71289, 109688, 117126, 34171, 29295, 45736, 117714, 32977, 30926, 103350, 38641, 9174, 26130, 105644, 30512, 76537, 59739, 121142, 108740, 112535, 101576, 102, 122101, 9174, 114387, 112368, 120950, 105908, 101182, 105110, 101083, 107809, 16144, 114754, 124807, 76739, 67075, 20230, 110482, 30369, 109335, 124897, 123794, 9174, 37656, 74245, 26130, 105644, 30512, 76537, 59739, 112772, 109134, 125231, 109335, 121771, 98369, 57903, 33541, 9174, 37271, 18904, 15682, 36896, 3910, 47, 12, 16, 124807, 76739, 67075, 16144, 8239, 114503, 10646, 71289, 13177, 105509, 34171, 10646, 109853, 50520, 111, 106624, 50338, 108323, 109768, 105898, 16995, 106046, 61689, 9174, 567, 5705, 47, 12, 16, 124807, 76739, 67075, 107118, 198, 3910, 47, 12, 16, 124807, 76739, 67075, 107118, 5486, 3910, 47, 12, 16, 10110, 101576, 102, 72342, 103927, 33710, 124373, 7705, 30512, 33014, 20230, 108167, 17701, 104028, 118733, 102456, 111654, 30512, 126128, 58942, 5486, 83747, 100604, 102456, 30926, 33857, 72661, 114392, 112624, 102780, 108608, 121894, 19732, 15024, 5486, 102456, 30926, 33857, 30512, 114485, 33503, 21105, 103, 29295, 33503, 114485, 33857, 54926, 41007, 16144, 106592, 64467, 78434, 9174, 103350, 104983, 3910, 47, 4235, 16, 15682, 115132, 114740, 119008, 103242, 117434, 25446, 91077, 82169, 72661, 117178, 112624, 71005, 109519, 117434, 103306, 104736, 31540, 114475, 107441, 61689, 9174, 102433, 77181, 3910, 47, 4235, 16, 15682, 117587, 126017, 103429, 71005, 109519, 117434, 103306, 104736, 31540, 116216, 61689, 9174, 80673, 117178, 112624, 71005, 109519, 117434, 103306, 15682, 39442, 105005, 104736, 16144, 103846, 107167, 122842, 104309, 77181, 37026, 106382, 120761, 109519, 121711, 33541, 9174, 77181, 103350, 104983, 20230, 3910, 47, 12, 16, 124807, 76739, 67075, 102052, 5486, 67645, 120950, 8239, 114503, 107407, 104865, 95221, 115717, 33541, 123794, 9174, 567, 5705, 47, 12, 16, 124807, 76739, 67075, 16144, 8239, 114503, 109853, 198, 110382, 126328, 3910, 47, 12, 16, 124807, 76739, 67075, 16144, 8239, 114503, 109853, 50520, 111, 106624, 122984, 109768, 50834, 33541, 9174, 36668, 20230, 3910, 47, 12, 16, 124807, 76739, 67075, 102052, 5486, 17905, 61304, 120950, 8239, 114503, 107407, 19732, 117952, 106824, 61689, 9174, 91939, 225, 55031, 101921, 116, 111363, 61056, 20834, 30512, 30250, 227, 117063, 5486, 112624, 113351, 99750, 114792, 106307, 124545, 103846, 83747, 33857, 16144, 102456, 30926, 16556, 112624, 102780, 125545, 9174, 53900, 5486, 121496, 57942, 103, 17620, 50338, 19732, 107969, 106518, 21990, 30512, 113096, 103130, 107726, 121496, 57942, 103, 114887, 123307, 8239, 114503, 32977, 125494, 84389, 33541, 9174, 51330, 104466, 3910, 47, 12, 16, 124807, 76739, 67075, 15682, 112160, 91774, 124807, 76739, 67075, 8239, 114503, 32977, 45736, 47884, 39850, 37823, 67075, 29295, 127181, 104371, 47523, 32977, 101682, 76622, 33541, 29295, 109688, 117126, 34171, 71289, 68408, 39850, 37823, 67075, 29295, 43240, 117714, 32977, 105184, 32149, 38641, 9174, 567, 5705, 47, 12, 16, 124807, 76739, 67075, 16144, 109688, 117126, 34171, 198, 106307, 102532, 15682, 5486, 3910, 47, 12, 16, 124807, 76739, 67075, 16144, 109688, 117126, 34171, 109853, 50520, 111, 106624, 50338, 108323, 109768, 50834, 33541, 9174, 61826, 39607, 122984, 56051, 104466, 5486, 3910, 47, 12, 16, 15682, 127164, 77181, 117178, 112624, 71005, 109519, 117434, 103306, 104736, 31540, 114475, 107441, 61689, 29295, 123085, 77181, 117587, 126017, 103429, 71005, 109519, 117434, 103306, 33655, 78183, 106824, 108086, 117178, 112624, 71005, 109519, 117434, 103306, 15682, 104736, 31540, 84389, 100481, 107515, 9174, 53900, 2366, 15, 8107, 22, 9953, 24, 117816, 102433, 117587, 126017, 103429, 124052, 15682, 51330, 105933, 91774, 50338, 30512, 125053, 127145, 9174, 121846, 25, 3910, 47, 12, 16, 101682, 37729, 33014, 19967, 91875, 117434, 109431, 106608, 48915, 38129, 123863, 102433, 117587, 126017, 103429, 124052, 16144, 91774, 50338, 198, 107963, 31634, 30512, 123011, 107436, 64121, 33541, 9174, 9458, 102433, 77181, 5486, 17, 4996, 24715, 117587, 126017, 103429, 71005, 109519, 116749, 20230, 105005, 104736, 103646, 5705, 47, 12, 220, 16, 120174, 37729, 33014, 19967, 91875, 117434, 15682, 48706, 21105, 103, 16995, 9174, 9458, 17, 4996, 24715, 117587, 126017, 103429, 30512, 19361, 30813, 100604, 102433, 17792, 122692, 105509, 34171, 19732, 19361, 126120, 34171, 15682, 114140, 84389, 126386, 9174, 9458, 16937, 109431, 102769, 26854, 117434, 21403, 97, 38129, 16144, 84851, 28194, 101, 15682, 104736, 62004, 102204, 100604, 9174, 51330, 104466, 102433, 117587, 126017, 103429, 124052, 77181, 5486, 58666, 37729, 9458, 101576, 102, 96356, 9458, 124807, 76739, 67075, 50667, 30512, 113173, 117408, 109431, 106608, 48915, 38129, 114556, 39926, 5486, 105509, 34171, 19732, 19361, 126120, 34171, 15682, 114140, 84389, 126386, 19732, 104970, 58655, 30512, 122173, 33503, 127145, 9174, 58426, 102717, 32149, 5486, 3910, 47, 12, 16, 124807, 76739, 67075, 16144, 68408, 39850, 37823, 67075, 103306, 15682, 119045, 109904, 117178, 112624, 16144, 71005, 109519, 102052, 105110, 100604, 100909, 104309, 29295, 122765, 102204, 33541, 9174, 117178, 112624, 16144, 36668, 26854, 113385, 103306, 15682, 5486, 125764, 103188, 105557, 71289, 117401, 127242, 104309, 38641, 9174, 3910, 47, 12, 16, 124807, 76739, 67075, 15682, 26130, 105644, 30512, 103792, 117232, 103378, 102456, 111654, 29295, 114485, 56906, 54926, 102677, 102944, 38641, 9174, 26130, 105644, 30512, 71289, 107436, 114604, 33503, 5486, 102456, 111654, 15682, 24186, 20230, 114941, 31431, 33541, 9174, 58426, 103846, 37823, 66953, 65299, 102860, 16144, 125396, 29295, 126574, 19732, 117952, 115032, 16144, 38641, 9174, 16325, 102052, 36896, 26130, 105644, 30512, 106307, 107674, 33503, 104712, 66383, 91763, 126832, 24273, 32977, 16995, 33503, 42891, 116826, 104533, 91763, 61689, 9174, 80673, 5486, 101544, 23538, 112535, 106307, 107674, 107803, 16144, 105509, 34171, 15682, 114140, 84389, 100481, 107515, 9174, 53900, 5486, 16, 113746, 17620, 16556, 20, 110743, 55031, 126574, 102944, 118816, 605, 110743, 32977, 32149, 117295, 103846, 47260, 71634, 28190, 72661, 102321, 103350, 9554, 77181, 124897, 9174, 51330, 104466, 5486, 3910, 47, 4235, 16, 124807, 76739, 67075, 15682, 109688, 117126, 34171, 71289, 37823, 66953, 65299, 102860, 123160, 68408, 39850, 37823, 67075, 32977, 43240, 47884, 48706, 54926, 105908, 31958, 33503, 32149, 115717, 79721, 101832, 9174, 567, 107289, 22398, 22398, 39850, 16144, 124807, 76739, 67075, 41007, 198, 112798, 103892, 72661, 33334, 87177, 15024, 121256, 29295, 5486, 26130, 105644, 30512, 76537, 59739, 121142, 101576, 102, 72342, 104028, 105110, 112832, 72661, 101128, 102, 104004, 100909, 103470, 101576, 102, 72342, 33121, 33541, 123794, 9174, 124807, 76739, 67075, 123410, 105110, 109688, 117126, 30512, 109373, 39926, 26130, 105644, 30512, 76537, 59739, 104468, 109688, 117126, 38641, 15024, 124807, 76739, 67075, 16144, 104622, 61826, 110480, 25129, 29295, 103167, 103188, 105557, 33541, 9174, 126843, 15682, 5486, 115364, 99046, 224, 18655, 76739, 124643, 104603, 11972, 33857, 30512, 102178, 111665, 15024, 163, 65620, 53610, 33208, 53953, 9458, 47307, 115695, 29220, 105284, 9458, 33334, 102212, 108171, 30512, 18, 102456, 125764, 30369, 100909, 55031, 27704, 62004, 17129, 109954, 9174, 104721, 20230, 71493, 42634, 102540, 30512, 114485, 124949, 120195, 104533, 95543, 91875, 16556, 125764, 120195 ]
[ 30369, 125396, 32977, 20834, 38144, 50834, 33541, 9174, 30832, 105888, 99046, 224, 18655, 76739, 124643, 104603, 11972, 33857, 103296, 21105, 96, 107277, 102456, 115694, 43568, 22649, 16144, 100604, 124807, 76739, 67075, 30512, 30832, 64467, 103801, 109954, 9174, 113614, 112535, 101576, 102, 122101, 124122, 47260, 103223, 30512, 53283, 31431, 106956, 24273, 15682, 88852, 16144, 122481, 30512, 121846, 116446, 72315, 9174, 567, 220, 123011, 62004, 198, 3910, 47, 12, 16, 30512, 113614, 26854, 114754, 101576, 102, 122101, 113173, 16556, 38129, 54926, 100909, 114556, 39926, 123085, 77181, 114392, 26854, 13177, 76739, 91482, 68408, 107446, 119703, 66383, 95604, 112973, 30926, 103350, 38641, 9174, 56051, 29295, 76947, 5486, 112832, 32977, 29295, 51385, 87844, 20230, 26130, 105644, 39926, 104712, 117434, 21403, 97, 107118, 78244, 58942, 107515, 9174, 53900, 5486, 47260, 71634, 32977, 45736, 47884, 37823, 66953, 65299, 102860, 16144, 125396, 32977, 126574, 102677, 105908, 17620, 107277, 79721, 101832, 9174, 51330, 104466, 109688, 117126, 34171, 32977, 45736, 47884, 112997, 29220, 107407, 102944, 30512, 102647, 104369, 126036, 112160, 21990, 106307, 76622, 124195, 105509, 26854, 124807, 76739, 67075, 117824, 30297, 118881, 29295, 113614, 16144, 103846, 105352, 33334, 125683, 62004, 38641, 9174, 9295, 52, 4592, 77181, 5486, 102456, 30926, 44416, 48249, 104309, 23039, 124059, 34617, 102456, 66953, 119930, 114652, 125764, 30369, 124807, 76739, 67075, 25333, 16556, 114485, 33857, 20230, 19653, 56051, 24273, 29295, 43240, 9039, 33334, 102204, 33541, 9174, 37656, 102800, 53283, 109375, 5486, 102456, 108710, 101557, 96, 5486, 117401, 108710, 101557, 96, 30512, 96356, 107294, 76622, 106956, 102677, 24273, 15682, 112371, 104328, 33014, 111186, 5, 48154, 50021, 111813, 107898, 104087, 106624, 70897, 40620, 128001, 128000, 2, 119736, 117943, 116690, 109669, 47884, 111331, 863, 47260, 103223, 863, 56040, 120331, 125559, 108975, 48634, 104542, 102351, 29295, 19653, 56051, 100909, 5486, 21388, 113529, 56051, 100909, 56040, 10110, 679, 22, 8107, 16, 9953, 23954, 16, 9953, 1691, 9080, 5486, 89408, 119869, 16144, 118133, 112495, 78183, 102616, 59657, 122, 118587, 103350, 102923, 121256, 9174, 114341, 103605, 16144, 25580, 103268, 15682, 5486, 43240, 119064, 120331, 125559, 108975, 48634, 104542, 29295, 105647, 124955, 103646, 108968, 17905, 29504, 16556, 5486, 112415, 126867, 71634, 108744, 16144, 113385, 117282, 36896, 114516, 116690, 10646, 20230, 118220, 28542, 30512, 40265, 38144, 79721, 1811, 114516, 116690, 107118, 59739, 109709, 5486, 22023, 117943, 116690, 126694, 30369, 100909, 125939, 18904, 15682, 58426, 863, 47260, 103223, 863, 109853, 48864, 102802, 79721, 109900, 15682, 36896, 115364, 106592, 53283, 30369, 100909, 126636, 102769, 30813, 10646, 71289, 5486, 20834, 38093, 100472, 110018, 16144, 30775, 101, 26955, 114, 20230, 13177, 15120, 78244, 10646, 121110, 112690, 111363, 125641, 26130, 17701, 48634, 8, 30512, 122382, 21601, 105262, 100909, 103351, 31431, 78434, 1811, 108895, 56051, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 2118, 47260, 103223, 863, 15682, 5486, 125559, 124911, 105459, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 103378, 126194, 123085, 16144, 104654, 121960, 32977, 64209, 29295, 76622, 106956, 102944, 122416, 16556, 56051, 9174, 118953, 107610, 102756, 105048, 77181, 36896, 122571, 114387, 17792, 66383, 95604, 102756, 105048, 57207, 84477, 124905, 76947, 5486, 85707, 107436, 38093, 30297, 39850, 127058, 20230, 102099, 126362, 30512, 121256, 7, 111629, 25, 102099, 126362, 102756, 105048, 57207, 84477, 8, 9174, 102099, 126362, 102756, 105048, 57207, 84477, 198, 102040, 68759, 103836, 102944, 7, 68759, 25197, 52884, 103202, 8, 102677, 104468, 106116, 107707, 13177, 53901, 64121, 118587, 21405, 17663, 102944, 1811, 113797, 114330, 103792, 116537, 36896, 95001, 112603, 114181, 118587, 21405, 17663, 103359, 47523, 38641, 1811, 108895, 56051, 102756, 105048, 57207, 84477, 107407, 121142, 5486, 108064, 102944, 102099, 126362, 29295, 105755, 102987, 47884, 105994, 109853, 78698, 105262, 82973, 121711, 5486, 109683, 20230, 13177, 102099, 87447, 20379, 10646, 54926, 105908, 125545, 9174, 114341, 103605, 16144, 74482, 103268, 15682, 5486, 126843, 5486, 96356, 60358, 20230, 107991, 37823, 117697, 38248, 226, 19361, 13372, 26854, 37823, 117697, 38248, 115, 103830, 30512, 18655, 30369, 17792, 30512, 123680, 102639, 106272, 5486, 37823, 117697, 11972, 20230, 109215, 26854, 106556, 109853, 87177, 15024, 40862, 16995, 79721, 9174, 80539, 5486, 109713, 113714, 60868, 22398, 114567, 13177, 120843, 78256, 254, 117758, 110645, 20834, 117503, 103350, 102923, 1811, 120843, 78256, 254, 20230, 114876, 111108, 56051, 110018, 5486, 123726, 108618, 30369, 113009, 32335, 32977, 109215, 26854, 53953, 15682, 99849, 123253, 32149, 1811, 717, 16144, 111090, 57933, 91062, 55031, 32335, 32977, 107693, 106046, 126832, 102944, 55031, 110480, 87217, 20230, 110480, 25129, 30512, 122382, 100481, 47884, 51330, 114567, 1811, 126843, 121568, 16556, 110480, 25129, 122382, 15024, 106116, 74482, 118953, 107610, 16144, 37823, 117697, 11972, 30512, 104356, 20230, 118953, 107610, 16144, 103899, 58942, 30512, 20834, 109768, 50834, 79721, 9174, 125457, 42891, 58490, 116056, 111090, 57933, 91062, 15682, 107734, 20230, 80195, 28713, 100604, 55031, 5486, 110480, 25129, 15682, 17297, 120332, 110034, 58490, 111329, 110901, 0, 220, 72661, 5486, 11881, 242, 64121, 28713, 22656, 16556, 85701, 29295, 30591, 104984, 123726, 108618, 104028, 76947, 102181, 102532, 105693, 0, 111329, 13177, 1041, 16400, 104699, 110706, 105110, 105564, 76622, 104533, 91763, 30297, 0, 111329, 50667, 104680, 101828, 107969, 56051, 87177, 15024, 40862, 16995, 29295, 102208, 118953, 107610, 16556, 23039, 123671, 79721, 9174, 43511, 124911, 19732, 87177, 15024, 40862, 30297, 118733, 85707, 107436, 50928, 30369, 108134, 115397, 17792, 16556, 78698, 105262, 126036, 5486, 109242, 9039, 16556, 78698, 107800, 118881, 29295, 5486, 105755, 13177, 113925, 10646, 7, 62066, 29295, 19967, 100472, 54872, 119318, 50338, 103899, 8, 20230, 60358, 47884, 109020, 105908, 78183, 107277, 79721, 1811, 87177, 15024, 40862, 30297, 100909, 126636, 102769, 30813, 5486, 40862, 37689, 115376, 16144, 111108, 21105, 243, 5486, 17400, 13299, 258, 26854, 116690, 30512, 114567, 55031, 112391, 30369, 105908, 103082, 79721, 9174, 14711, 111521, 21601, 112919, 71174, 198, 12, 111521, 21601, 39926, 64121, 38144, 5486, 37823, 117697, 11972, 109853, 39135, 104680, 78698, 105262, 105908, 103082, 79721, 1811, 86127, 32977, 34048, 112415, 16144, 107391, 57326, 57933, 16073, 30512, 103792, 16144, 119627, 5486, 41642, 111331, 37689, 91774, 30512, 104655, 102532, 5486, 115364, 102780, 31431, 100604, 28542, 104088, 59739, 105784, 105908, 103082, 79721, 97999, 117734, 21990, 9458, 111482, 340, 12, 63091, 17620, 16144, 95001, 112603, 114181, 19732, 108010, 30297, 37689, 91774, 114475, 76622, 17701, 104028, 111108, 21105, 243, 29295, 17620, 102518, 1811, 66378, 20230, 5486, 118953, 107610, 32943, 20230, 105994, 19732, 112361, 37689, 91774, 16144, 114754, 102334, 107803, 5486, 83747, 9039, 16144, 107707, 37689, 91774, 30512, 104655, 32149, 123733, 76947, 114732, 105908, 17620, 102518, 97999, 106222, 17792, 9458, 123737, 340, 12, 110325, 20230, 5486, 114626, 16144, 109713, 113714, 60868, 22398, 114567, 77181, 5486, 863, 124180, 863, 102677, 112690, 30512, 102987, 47884, 113727, 107726, 102204, 79721, 1811, 71289, 112043, 31431, 5486, 121568, 105755, 108638, 33014, 16556, 78698, 105262, 105908, 27384, 102769, 36785, 106046, 16995, 79721, 97999, 117734, 21990, 9458, 111482, 340, 37271, 18904, 112197, 112495, 78183, 102616, 59657, 122, 77181, 5486, 53283, 17792, 9458, 98915, 17792, 117758, 126362, 16556, 37507, 109115, 24273, 29295, 43240, 47884, 16995, 33503, 42891, 116826, 16995, 79721, 118844, 103296, 110284, 56051, 110498, 103214, 102351, 16144, 112073, 121944, 5486, 96356, 60358, 26854, 24273, 104680, 20230, 71174, 119707, 107441, 47884, 106824, 61689, 66327, 33334, 112495, 78183, 102616, 59657, 122, 10646, 15682, 110498, 103214, 102351, 19732, 126419, 20230, 77413, 87447, 109768, 47884, 114341, 103605, 38641, 118844, 55031, 32977, 104774, 16073, 30512, 115079, 71289, 15024, 5486, 39135, 104680, 26854, 98897, 55723, 20230, 108167, 103214, 104127, 16995, 50834, 33541, 1811, 33671, 18904, 15682, 51330, 39177, 23538, 118850, 27452, 16144, 40862, 109249, 38641, 115397, 117856, 41920, 9080, 5486, 124180, 91482, 33710, 103857, 94550, 107542, 47884, 119432, 57326, 77750, 32131, 91062, 30512, 33035, 39926, 5486, 122270, 13177, 102616, 17792, 10646, 124259, 13153, 101544, 109768, 105898, 16995, 106046, 61689, 9174, 91, 128001, 128000, 2, 220, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 126172, 101832, 16144, 32943, 110366, 29295, 108631, 16995, 113385, 19732, 103911, 103181, 25333, 198, 64121, 26854, 117940, 57207, 107446, 115507, 52414, 102677, 102944, 30512, 53283, 76947, 61689, 32149, 95532, 57207, 107446, 115507, 52414, 15682, 36668, 20230, 17663, 101832, 16144, 32943, 110366, 29295, 108631, 104004, 111571, 103397, 38641, 9174, 17792, 113468, 15682, 105104, 126910, 15682, 105557, 126172, 101832, 16144, 48915, 110366, 20230, 111571, 103397, 125334, 30369, 30926, 32977, 57903, 33541, 9174, 57207, 107446, 115507, 52414, 15682, 71005, 109519, 88367, 119627, 5486, 54322, 22324, 39926, 33334, 126145, 127814, 8239, 112, 110135, 108881, 16144, 109688, 117126, 34171, 32977, 101182, 103846, 5486, 109431, 102769, 26854, 71005, 109519, 29295, 109215, 38641, 9174, 110924, 16556, 37271, 18904, 15682, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 71289, 5486, 17663, 101832, 16144, 32943, 110366, 29295, 108631, 16995, 113385, 19732, 103911, 103181, 25333, 30512, 126362, 78434, 9174, 567, 220, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 126172, 101832, 16144, 32943, 110366, 29295, 108631, 16995, 198, 57207, 107446, 115507, 52414, 102677, 102944, 30512, 53283, 76947, 61689, 32149, 95532, 57207, 107446, 115507, 52414, 15682, 105104, 126910, 15682, 105557, 126172, 101832, 16144, 32943, 110366, 29295, 108631, 47884, 109020, 111571, 103397, 38641, 9174, 105104, 126910, 15682, 105557, 126172, 101832, 16144, 32943, 110366, 29295, 108631, 47884, 109020, 113385, 15682, 17663, 101832, 16144, 41642, 112586, 101182, 119049, 107079, 30512, 99849, 27479, 32977, 103721, 108, 31431, 104196, 39926, 33655, 30297, 118733, 119049, 107079, 29295, 107608, 115737, 31431, 5486, 17663, 101832, 16144, 110135, 30512, 117633, 103836, 110135, 115716, 30512, 104195, 47884, 73686, 42891, 105714, 31431, 106307, 107441, 114732, 30926, 115717, 5486, 114052, 111571, 29295, 125119, 76947, 103801, 76947, 108631, 64121, 125334, 30369, 16144, 38641, 9174, 102149, 100472, 31431, 106901, 108969, 126198, 126101, 108631, 64121, 30512, 112391, 100934, 110115, 115847, 120264, 15682, 54322, 76947, 33334, 76622, 81219, 27384, 121313, 118816, 51385, 87844, 20230, 78698, 107290, 54322, 22324, 39926, 114732, 19732, 5486, 127814, 8239, 112, 110135, 108881, 30512, 39926, 114732, 125396, 32977, 101182, 105879, 61633, 29295, 109215, 38641, 9174, 53900, 5486, 57207, 107446, 115507, 52414, 15682, 117401, 123470, 102663, 39880, 16144, 106548, 24273, 30512, 56965, 108010, 103836, 107803, 32977, 113801, 125119, 39926, 114732, 112997, 29220, 29295, 45736, 109709, 33541, 9174, 15120, 33014, 99849, 29295, 113385, 117084, 114732, 104865, 102677, 19732, 108048, 15682, 115541, 108710, 123470, 111090, 57207, 94550, 38641, 9174, 111090, 57207, 94550, 15682, 32943, 20834, 104473, 71289, 114052, 111571, 30512, 125119, 103792, 105494, 113115, 39926, 15682, 19361, 126120, 119627, 117119, 32977, 107297, 37046, 71289, 104604, 108502, 30512, 109768, 100604, 110115, 115541, 108710, 123090, 111090, 57207, 94550, 30512, 39926, 114732, 19732, 5486, 127814, 8239, 112, 18904, 109095, 67645, 107404, 32149, 119049, 107079, 15682, 107608, 47884, 109020, 122416, 38641, 9174, 119049, 107079, 29295, 107608, 47884, 109020, 102677, 30926, 15682, 57207, 107446, 115507, 52414, 117084, 114732, 112997, 29220, 30512, 45736, 109315, 103378, 38641, 9174, 127814, 8239, 112, 18904, 109095, 30512, 30832, 64467, 17663, 105879, 30591, 104984, 119049, 107079, 30512, 104840, 107436, 104473, 23039, 113096, 103130, 30512, 124545, 104466, 103801, 109954, 9174, 567, 80050, 20251, 44971, 108981, 123410, 17905, 113245, 61633, 28542, 198, 119049, 107079, 29295, 110567, 16995, 112973, 113385, 16556, 57207, 107446, 115507, 52414, 117084, 114732, 16144, 105110, 5486, 119049, 107079, 30512, 115289, 33503, 32149, 47884, 126693, 104712, 102189, 6447, 19732, 113727, 5486, 71634, 44971, 108981, 27704, 109315, 30926, 15682, 126521, 100909, 119627, 5486, 110382, 72661, 95221, 30512, 122382, 103470, 38144, 112987, 124324, 105908, 57903, 33541, 9174, 71634, 44971, 108981, 123410, 126101, 56965, 108010, 58942, 126172, 16995, 112973, 5486, 108631, 16995, 19732, 112391, 104533, 107404, 103296, 43568, 22649, 71289, 31431, 110137, 81219, 17663, 100909, 38641, 9174, 13177, 115364, 119049, 107079, 29295, 110567, 16995, 55031, 108631, 16995, 102189, 5486, 108631, 117714, 30512, 37046, 110020, 39926, 71634, 44971, 108981, 30512, 21105, 103, 50834, 101668, 110137, 102802, 100604, 102189, 10646, 102131, 91763, 76947, 80988, 239, 105714, 30369, 17792, 32977, 107991, 32149, 110241, 33121, 107515, 29295, 115847, 15682, 27384, 112495, 56965, 121953, 38641, 9174, 108631, 16995, 19732, 112391, 30369, 108680, 104195, 47884, 110137, 81219, 102131, 117408, 23039, 101399, 15682, 116900, 20230, 119049, 107079, 30512, 110567, 47884, 39926, 103801, 16995, 5486, 57207, 107446, 115507, 52414, 30512, 103181, 104699, 67645, 107404, 32149, 113385, 117084, 103801, 118544, 101832, 107515, 9174, 89783, 82420, 26854, 112997, 29220, 30512, 45736, 62004, 100604, 101399, 105352, 5486, 110137, 81219, 15024, 120195, 102052, 61633, 39926, 5486, 120208, 104712, 19732, 112391, 104533, 107404, 103296, 16556, 71289, 107436, 32149, 17129, 16995, 107515, 9174, 110241, 5486, 114715, 91875, 32149, 56051, 103378, 72661, 108631, 47884, 5486, 117355, 47884, 71634, 44971, 108981, 126198, 121142, 108631, 64121, 30512, 112391, 30369, 102677, 16144, 105110, 5486, 119049, 107079, 29295, 120019, 100845, 115, 33655, 84389, 100481, 38144, 91875, 32149, 17663, 100909, 126036, 105677, 105823, 30369, 105908, 109215, 26854, 121894, 101983, 103836, 125396, 29295, 126574, 105879, 5486, 108631, 64121, 119279, 118969, 76947, 50834, 38144, 55031, 71634, 44971, 108981, 30512, 27704, 109315, 104466, 103801, 109954, 9174, 567, 107429, 111, 118124, 71289, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 16144, 71634, 44971, 108981, 198, 57207, 107446, 115507, 52414, 117084, 103801, 78183, 100604, 101399, 105352, 5486, 23187, 23538, 112535, 115364, 111006, 30512, 39850, 108304, 96452, 107446, 39926, 110567, 115737, 100472, 119049, 107079, 30512, 102717, 104699, 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 ]
[ 30369, 125396, 32977, 20834, 38144, 50834, 33541, 9174, 30832, 105888, 99046, 224, 18655, 76739, 124643, 104603, 11972, 33857, 103296, 21105, 96, 107277, 102456, 115694, 43568, 22649, 16144, 100604, 124807, 76739, 67075, 30512, 30832, 64467, 103801, 109954, 9174, 113614, 112535, 101576, 102, 122101, 124122, 47260, 103223, 30512, 53283, 31431, 106956, 24273, 15682, 88852, 16144, 122481, 30512, 121846, 116446, 72315, 9174, 567, 220, 123011, 62004, 198, 3910, 47, 12, 16, 30512, 113614, 26854, 114754, 101576, 102, 122101, 113173, 16556, 38129, 54926, 100909, 114556, 39926, 123085, 77181, 114392, 26854, 13177, 76739, 91482, 68408, 107446, 119703, 66383, 95604, 112973, 30926, 103350, 38641, 9174, 56051, 29295, 76947, 5486, 112832, 32977, 29295, 51385, 87844, 20230, 26130, 105644, 39926, 104712, 117434, 21403, 97, 107118, 78244, 58942, 107515, 9174, 53900, 5486, 47260, 71634, 32977, 45736, 47884, 37823, 66953, 65299, 102860, 16144, 125396, 32977, 126574, 102677, 105908, 17620, 107277, 79721, 101832, 9174, 51330, 104466, 109688, 117126, 34171, 32977, 45736, 47884, 112997, 29220, 107407, 102944, 30512, 102647, 104369, 126036, 112160, 21990, 106307, 76622, 124195, 105509, 26854, 124807, 76739, 67075, 117824, 30297, 118881, 29295, 113614, 16144, 103846, 105352, 33334, 125683, 62004, 38641, 9174, 9295, 52, 4592, 77181, 5486, 102456, 30926, 44416, 48249, 104309, 23039, 124059, 34617, 102456, 66953, 119930, 114652, 125764, 30369, 124807, 76739, 67075, 25333, 16556, 114485, 33857, 20230, 19653, 56051, 24273, 29295, 43240, 9039, 33334, 102204, 33541, 9174, 37656, 102800, 53283, 109375, 5486, 102456, 108710, 101557, 96, 5486, 117401, 108710, 101557, 96, 30512, 96356, 107294, 76622, 106956, 102677, 24273, 15682, 112371, 104328, 33014, 111186, 5, 48154, 50021, 111813, 107898, 104087, 106624, 70897, 40620, 128001, 128000, 2, 119736, 117943, 116690, 109669, 47884, 111331, 863, 47260, 103223, 863, 56040, 120331, 125559, 108975, 48634, 104542, 102351, 29295, 19653, 56051, 100909, 5486, 21388, 113529, 56051, 100909, 56040, 10110, 679, 22, 8107, 16, 9953, 23954, 16, 9953, 1691, 9080, 5486, 89408, 119869, 16144, 118133, 112495, 78183, 102616, 59657, 122, 118587, 103350, 102923, 121256, 9174, 114341, 103605, 16144, 25580, 103268, 15682, 5486, 43240, 119064, 120331, 125559, 108975, 48634, 104542, 29295, 105647, 124955, 103646, 108968, 17905, 29504, 16556, 5486, 112415, 126867, 71634, 108744, 16144, 113385, 117282, 36896, 114516, 116690, 10646, 20230, 118220, 28542, 30512, 40265, 38144, 79721, 1811, 114516, 116690, 107118, 59739, 109709, 5486, 22023, 117943, 116690, 126694, 30369, 100909, 125939, 18904, 15682, 58426, 863, 47260, 103223, 863, 109853, 48864, 102802, 79721, 109900, 15682, 36896, 115364, 106592, 53283, 30369, 100909, 126636, 102769, 30813, 10646, 71289, 5486, 20834, 38093, 100472, 110018, 16144, 30775, 101, 26955, 114, 20230, 13177, 15120, 78244, 10646, 121110, 112690, 111363, 125641, 26130, 17701, 48634, 8, 30512, 122382, 21601, 105262, 100909, 103351, 31431, 78434, 1811, 108895, 56051, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 2118, 47260, 103223, 863, 15682, 5486, 125559, 124911, 105459, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 103378, 126194, 123085, 16144, 104654, 121960, 32977, 64209, 29295, 76622, 106956, 102944, 122416, 16556, 56051, 9174, 118953, 107610, 102756, 105048, 77181, 36896, 122571, 114387, 17792, 66383, 95604, 102756, 105048, 57207, 84477, 124905, 76947, 5486, 85707, 107436, 38093, 30297, 39850, 127058, 20230, 102099, 126362, 30512, 121256, 7, 111629, 25, 102099, 126362, 102756, 105048, 57207, 84477, 8, 9174, 102099, 126362, 102756, 105048, 57207, 84477, 198, 102040, 68759, 103836, 102944, 7, 68759, 25197, 52884, 103202, 8, 102677, 104468, 106116, 107707, 13177, 53901, 64121, 118587, 21405, 17663, 102944, 1811, 113797, 114330, 103792, 116537, 36896, 95001, 112603, 114181, 118587, 21405, 17663, 103359, 47523, 38641, 1811, 108895, 56051, 102756, 105048, 57207, 84477, 107407, 121142, 5486, 108064, 102944, 102099, 126362, 29295, 105755, 102987, 47884, 105994, 109853, 78698, 105262, 82973, 121711, 5486, 109683, 20230, 13177, 102099, 87447, 20379, 10646, 54926, 105908, 125545, 9174, 114341, 103605, 16144, 74482, 103268, 15682, 5486, 126843, 5486, 96356, 60358, 20230, 107991, 37823, 117697, 38248, 226, 19361, 13372, 26854, 37823, 117697, 38248, 115, 103830, 30512, 18655, 30369, 17792, 30512, 123680, 102639, 106272, 5486, 37823, 117697, 11972, 20230, 109215, 26854, 106556, 109853, 87177, 15024, 40862, 16995, 79721, 9174, 80539, 5486, 109713, 113714, 60868, 22398, 114567, 13177, 120843, 78256, 254, 117758, 110645, 20834, 117503, 103350, 102923, 1811, 120843, 78256, 254, 20230, 114876, 111108, 56051, 110018, 5486, 123726, 108618, 30369, 113009, 32335, 32977, 109215, 26854, 53953, 15682, 99849, 123253, 32149, 1811, 717, 16144, 111090, 57933, 91062, 55031, 32335, 32977, 107693, 106046, 126832, 102944, 55031, 110480, 87217, 20230, 110480, 25129, 30512, 122382, 100481, 47884, 51330, 114567, 1811, 126843, 121568, 16556, 110480, 25129, 122382, 15024, 106116, 74482, 118953, 107610, 16144, 37823, 117697, 11972, 30512, 104356, 20230, 118953, 107610, 16144, 103899, 58942, 30512, 20834, 109768, 50834, 79721, 9174, 125457, 42891, 58490, 116056, 111090, 57933, 91062, 15682, 107734, 20230, 80195, 28713, 100604, 55031, 5486, 110480, 25129, 15682, 17297, 120332, 110034, 58490, 111329, 110901, 0, 220, 72661, 5486, 11881, 242, 64121, 28713, 22656, 16556, 85701, 29295, 30591, 104984, 123726, 108618, 104028, 76947, 102181, 102532, 105693, 0, 111329, 13177, 1041, 16400, 104699, 110706, 105110, 105564, 76622, 104533, 91763, 30297, 0, 111329, 50667, 104680, 101828, 107969, 56051, 87177, 15024, 40862, 16995, 29295, 102208, 118953, 107610, 16556, 23039, 123671, 79721, 9174, 43511, 124911, 19732, 87177, 15024, 40862, 30297, 118733, 85707, 107436, 50928, 30369, 108134, 115397, 17792, 16556, 78698, 105262, 126036, 5486, 109242, 9039, 16556, 78698, 107800, 118881, 29295, 5486, 105755, 13177, 113925, 10646, 7, 62066, 29295, 19967, 100472, 54872, 119318, 50338, 103899, 8, 20230, 60358, 47884, 109020, 105908, 78183, 107277, 79721, 1811, 87177, 15024, 40862, 30297, 100909, 126636, 102769, 30813, 5486, 40862, 37689, 115376, 16144, 111108, 21105, 243, 5486, 17400, 13299, 258, 26854, 116690, 30512, 114567, 55031, 112391, 30369, 105908, 103082, 79721, 9174, 14711, 111521, 21601, 112919, 71174, 198, 12, 111521, 21601, 39926, 64121, 38144, 5486, 37823, 117697, 11972, 109853, 39135, 104680, 78698, 105262, 105908, 103082, 79721, 1811, 86127, 32977, 34048, 112415, 16144, 107391, 57326, 57933, 16073, 30512, 103792, 16144, 119627, 5486, 41642, 111331, 37689, 91774, 30512, 104655, 102532, 5486, 115364, 102780, 31431, 100604, 28542, 104088, 59739, 105784, 105908, 103082, 79721, 97999, 117734, 21990, 9458, 111482, 340, 12, 63091, 17620, 16144, 95001, 112603, 114181, 19732, 108010, 30297, 37689, 91774, 114475, 76622, 17701, 104028, 111108, 21105, 243, 29295, 17620, 102518, 1811, 66378, 20230, 5486, 118953, 107610, 32943, 20230, 105994, 19732, 112361, 37689, 91774, 16144, 114754, 102334, 107803, 5486, 83747, 9039, 16144, 107707, 37689, 91774, 30512, 104655, 32149, 123733, 76947, 114732, 105908, 17620, 102518, 97999, 106222, 17792, 9458, 123737, 340, 12, 110325, 20230, 5486, 114626, 16144, 109713, 113714, 60868, 22398, 114567, 77181, 5486, 863, 124180, 863, 102677, 112690, 30512, 102987, 47884, 113727, 107726, 102204, 79721, 1811, 71289, 112043, 31431, 5486, 121568, 105755, 108638, 33014, 16556, 78698, 105262, 105908, 27384, 102769, 36785, 106046, 16995, 79721, 97999, 117734, 21990, 9458, 111482, 340, 37271, 18904, 112197, 112495, 78183, 102616, 59657, 122, 77181, 5486, 53283, 17792, 9458, 98915, 17792, 117758, 126362, 16556, 37507, 109115, 24273, 29295, 43240, 47884, 16995, 33503, 42891, 116826, 16995, 79721, 118844, 103296, 110284, 56051, 110498, 103214, 102351, 16144, 112073, 121944, 5486, 96356, 60358, 26854, 24273, 104680, 20230, 71174, 119707, 107441, 47884, 106824, 61689, 66327, 33334, 112495, 78183, 102616, 59657, 122, 10646, 15682, 110498, 103214, 102351, 19732, 126419, 20230, 77413, 87447, 109768, 47884, 114341, 103605, 38641, 118844, 55031, 32977, 104774, 16073, 30512, 115079, 71289, 15024, 5486, 39135, 104680, 26854, 98897, 55723, 20230, 108167, 103214, 104127, 16995, 50834, 33541, 1811, 33671, 18904, 15682, 51330, 39177, 23538, 118850, 27452, 16144, 40862, 109249, 38641, 115397, 117856, 41920, 9080, 5486, 124180, 91482, 33710, 103857, 94550, 107542, 47884, 119432, 57326, 77750, 32131, 91062, 30512, 33035, 39926, 5486, 122270, 13177, 102616, 17792, 10646, 124259, 13153, 101544, 109768, 105898, 16995, 106046, 61689, 9174, 91, 128001, 128000, 2, 220, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 126172, 101832, 16144, 32943, 110366, 29295, 108631, 16995, 113385, 19732, 103911, 103181, 25333, 198, 64121, 26854, 117940, 57207, 107446, 115507, 52414, 102677, 102944, 30512, 53283, 76947, 61689, 32149, 95532, 57207, 107446, 115507, 52414, 15682, 36668, 20230, 17663, 101832, 16144, 32943, 110366, 29295, 108631, 104004, 111571, 103397, 38641, 9174, 17792, 113468, 15682, 105104, 126910, 15682, 105557, 126172, 101832, 16144, 48915, 110366, 20230, 111571, 103397, 125334, 30369, 30926, 32977, 57903, 33541, 9174, 57207, 107446, 115507, 52414, 15682, 71005, 109519, 88367, 119627, 5486, 54322, 22324, 39926, 33334, 126145, 127814, 8239, 112, 110135, 108881, 16144, 109688, 117126, 34171, 32977, 101182, 103846, 5486, 109431, 102769, 26854, 71005, 109519, 29295, 109215, 38641, 9174, 110924, 16556, 37271, 18904, 15682, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 71289, 5486, 17663, 101832, 16144, 32943, 110366, 29295, 108631, 16995, 113385, 19732, 103911, 103181, 25333, 30512, 126362, 78434, 9174, 567, 220, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 126172, 101832, 16144, 32943, 110366, 29295, 108631, 16995, 198, 57207, 107446, 115507, 52414, 102677, 102944, 30512, 53283, 76947, 61689, 32149, 95532, 57207, 107446, 115507, 52414, 15682, 105104, 126910, 15682, 105557, 126172, 101832, 16144, 32943, 110366, 29295, 108631, 47884, 109020, 111571, 103397, 38641, 9174, 105104, 126910, 15682, 105557, 126172, 101832, 16144, 32943, 110366, 29295, 108631, 47884, 109020, 113385, 15682, 17663, 101832, 16144, 41642, 112586, 101182, 119049, 107079, 30512, 99849, 27479, 32977, 103721, 108, 31431, 104196, 39926, 33655, 30297, 118733, 119049, 107079, 29295, 107608, 115737, 31431, 5486, 17663, 101832, 16144, 110135, 30512, 117633, 103836, 110135, 115716, 30512, 104195, 47884, 73686, 42891, 105714, 31431, 106307, 107441, 114732, 30926, 115717, 5486, 114052, 111571, 29295, 125119, 76947, 103801, 76947, 108631, 64121, 125334, 30369, 16144, 38641, 9174, 102149, 100472, 31431, 106901, 108969, 126198, 126101, 108631, 64121, 30512, 112391, 100934, 110115, 115847, 120264, 15682, 54322, 76947, 33334, 76622, 81219, 27384, 121313, 118816, 51385, 87844, 20230, 78698, 107290, 54322, 22324, 39926, 114732, 19732, 5486, 127814, 8239, 112, 110135, 108881, 30512, 39926, 114732, 125396, 32977, 101182, 105879, 61633, 29295, 109215, 38641, 9174, 53900, 5486, 57207, 107446, 115507, 52414, 15682, 117401, 123470, 102663, 39880, 16144, 106548, 24273, 30512, 56965, 108010, 103836, 107803, 32977, 113801, 125119, 39926, 114732, 112997, 29220, 29295, 45736, 109709, 33541, 9174, 15120, 33014, 99849, 29295, 113385, 117084, 114732, 104865, 102677, 19732, 108048, 15682, 115541, 108710, 123470, 111090, 57207, 94550, 38641, 9174, 111090, 57207, 94550, 15682, 32943, 20834, 104473, 71289, 114052, 111571, 30512, 125119, 103792, 105494, 113115, 39926, 15682, 19361, 126120, 119627, 117119, 32977, 107297, 37046, 71289, 104604, 108502, 30512, 109768, 100604, 110115, 115541, 108710, 123090, 111090, 57207, 94550, 30512, 39926, 114732, 19732, 5486, 127814, 8239, 112, 18904, 109095, 67645, 107404, 32149, 119049, 107079, 15682, 107608, 47884, 109020, 122416, 38641, 9174, 119049, 107079, 29295, 107608, 47884, 109020, 102677, 30926, 15682, 57207, 107446, 115507, 52414, 117084, 114732, 112997, 29220, 30512, 45736, 109315, 103378, 38641, 9174, 127814, 8239, 112, 18904, 109095, 30512, 30832, 64467, 17663, 105879, 30591, 104984, 119049, 107079, 30512, 104840, 107436, 104473, 23039, 113096, 103130, 30512, 124545, 104466, 103801, 109954, 9174, 567, 80050, 20251, 44971, 108981, 123410, 17905, 113245, 61633, 28542, 198, 119049, 107079, 29295, 110567, 16995, 112973, 113385, 16556, 57207, 107446, 115507, 52414, 117084, 114732, 16144, 105110, 5486, 119049, 107079, 30512, 115289, 33503, 32149, 47884, 126693, 104712, 102189, 6447, 19732, 113727, 5486, 71634, 44971, 108981, 27704, 109315, 30926, 15682, 126521, 100909, 119627, 5486, 110382, 72661, 95221, 30512, 122382, 103470, 38144, 112987, 124324, 105908, 57903, 33541, 9174, 71634, 44971, 108981, 123410, 126101, 56965, 108010, 58942, 126172, 16995, 112973, 5486, 108631, 16995, 19732, 112391, 104533, 107404, 103296, 43568, 22649, 71289, 31431, 110137, 81219, 17663, 100909, 38641, 9174, 13177, 115364, 119049, 107079, 29295, 110567, 16995, 55031, 108631, 16995, 102189, 5486, 108631, 117714, 30512, 37046, 110020, 39926, 71634, 44971, 108981, 30512, 21105, 103, 50834, 101668, 110137, 102802, 100604, 102189, 10646, 102131, 91763, 76947, 80988, 239, 105714, 30369, 17792, 32977, 107991, 32149, 110241, 33121, 107515, 29295, 115847, 15682, 27384, 112495, 56965, 121953, 38641, 9174, 108631, 16995, 19732, 112391, 30369, 108680, 104195, 47884, 110137, 81219, 102131, 117408, 23039, 101399, 15682, 116900, 20230, 119049, 107079, 30512, 110567, 47884, 39926, 103801, 16995, 5486, 57207, 107446, 115507, 52414, 30512, 103181, 104699, 67645, 107404, 32149, 113385, 117084, 103801, 118544, 101832, 107515, 9174, 89783, 82420, 26854, 112997, 29220, 30512, 45736, 62004, 100604, 101399, 105352, 5486, 110137, 81219, 15024, 120195, 102052, 61633, 39926, 5486, 120208, 104712, 19732, 112391, 104533, 107404, 103296, 16556, 71289, 107436, 32149, 17129, 16995, 107515, 9174, 110241, 5486, 114715, 91875, 32149, 56051, 103378, 72661, 108631, 47884, 5486, 117355, 47884, 71634, 44971, 108981, 126198, 121142, 108631, 64121, 30512, 112391, 30369, 102677, 16144, 105110, 5486, 119049, 107079, 29295, 120019, 100845, 115, 33655, 84389, 100481, 38144, 91875, 32149, 17663, 100909, 126036, 105677, 105823, 30369, 105908, 109215, 26854, 121894, 101983, 103836, 125396, 29295, 126574, 105879, 5486, 108631, 64121, 119279, 118969, 76947, 50834, 38144, 55031, 71634, 44971, 108981, 30512, 27704, 109315, 104466, 103801, 109954, 9174, 567, 107429, 111, 118124, 71289, 105104, 126910, 15682, 105557, 16144, 119049, 107079, 16144, 71634, 44971, 108981, 198, 57207, 107446, 115507, 52414, 117084, 103801, 78183, 100604, 101399, 105352, 5486, 23187, 23538, 112535, 115364, 111006, 30512, 39850, 108304, 96452, 107446, 39926, 110567, 115737, 100472, 119049, 107079, 30512, 102717, 104699, 39926 ]
[ 33334, 47884, 109215, 115991, 33541, 9174, 58426, 101399, 20230, 108608, 71634, 44971, 108981, 30512, 126362, 109768, 105898, 16995, 106046, 61689, 9174, 126843, 15682, 102780, 118124, 71289, 105104, 126910, 15682, 105557, 30512, 110137, 81219, 39926, 119049, 107079, 30512, 37823, 32131, 107840, 124545, 71634, 44971, 108981, 38641, 9174, 107928, 30512, 110137, 81219, 56051, 121894, 16556, 115519, 126929, 33541, 113637, 39177, 5486, 120094, 45829, 104309, 29295, 30591, 104984, 120094, 45829, 20230, 124834, 62004, 20230, 115519, 32149, 105784, 104466, 112990, 71634, 44971, 108981, 29295, 71289, 31431, 126172, 115737, 31431, 33541, 9174, 33671, 20230, 5486, 71634, 44971, 108981, 54926, 110366, 16144, 107928, 30512, 104735, 251, 29295, 110137, 102802, 50834, 30369, 104466, 110137, 81219, 78434, 9174, 104735, 251, 30512, 110137, 81219, 127564, 59739, 17129, 61826, 30512, 27929, 33503, 17663, 104466, 39926, 102780, 118124, 71289, 105104, 126910, 15682, 105557, 29295, 21105, 96, 107277, 19732, 110137, 102802, 100934, 121894, 126694, 31431, 33541, 113637, 126101, 108149, 109709, 104195, 47884, 123457, 17701, 106824, 59739, 17129, 61826, 30512, 27929, 33503, 39926, 114732, 19732, 105104, 126910, 15682, 105557, 126172, 101832, 20230, 109972, 106529, 29295, 32149, 126469, 114732, 121142, 71634, 44971, 108981, 102052, 105110, 100604, 105879, 95221, 30512, 122382, 17129, 109954, 9174, 59739, 17129, 61826, 30512, 27929, 33503, 39926, 105104, 126910, 15682, 105557, 30512, 110137, 81219, 56051, 74482, 15682, 5486, 46034, 16556, 117355, 115737, 16556, 100481, 50834, 17129, 109954, 1811, 21441, 231, 102189, 31431, 102717, 104699, 102131, 117408, 109215, 15682, 124897, 1811, 104622, 106624, 26854, 16556, 30369, 121142, 8239, 114503, 107407, 105879, 5486, 109020, 103854, 47884, 119049, 107079, 16144, 105714, 31431, 30512, 89753, 17663, 25197, 126989, 16556, 104622, 106624, 26854, 16556, 30369, 121142, 114392, 8239, 114503, 29295, 125494, 125545, 9174, 567, 220, 17663, 101832, 16144, 32943, 110366, 29295, 108631, 47884, 105110, 100604, 101399, 16144, 71634, 44971, 108981, 198, 106307, 102532, 17663, 101832, 16144, 32943, 110366, 29295, 108631, 47884, 105110, 100604, 104466, 54926, 101399, 16144, 71634, 44971, 108981, 30512, 126362, 78434, 9174, 17663, 101832, 30512, 110137, 81219, 17663, 103846, 102052, 126843, 37656, 103605, 30512, 78434, 9174, 37656, 103605, 126198, 126101, 5486, 17663, 16556, 20230, 119049, 107079, 20230, 108631, 64121, 29295, 102149, 30369, 105879, 30591, 104984, 5486, 102321, 103397, 77181, 71634, 44971, 108981, 123410, 30926, 126036, 119049, 107079, 30512, 105677, 105823, 30369, 118881, 29295, 104622, 61826, 26854, 105879, 5486, 43568, 22649, 39926, 71634, 44971, 108981, 30512, 106307, 23039, 54926, 109335, 71289, 62004, 17129, 109954, 9174, 37656, 103605, 16144, 121894, 55031, 5486, 35818, 24273, 16144, 104735, 251, 103378, 30512, 111140, 120332, 20230, 110794, 109415, 38144, 50834, 17129, 109954, 113637, 126101, 5486, 102780, 61075, 55031, 61826, 15682, 33334, 16175, 119, 16144, 17297, 16556, 30590, 28190, 55031, 106627, 30813, 101860, 5486, 78519, 103605, 16144, 110783, 110095, 30512, 62903, 107610, 103792, 105933, 121894, 115717, 33541, 9174, 102131, 54926, 118733, 5486, 17663, 101832, 16144, 119049, 107079, 29295, 73686, 42891, 105714, 124195, 110137, 81219, 107001, 100909, 115717, 33541, 9174, 106644, 121710, 111842, 110137, 81219, 17663, 118733, 5486, 110567, 115737, 106358, 119049, 107079, 29295, 83747, 21105, 248, 59739, 115289, 33503, 32149, 115737, 76947, 50834, 33541, 1811, 966, 47018, 120264, 30512, 30832, 51385, 20230, 118396, 16144, 107928, 30512, 39209, 106483, 20230, 110137, 81219, 109768, 50834, 17129, 109954, 9174, 51330, 71634, 44971, 108981, 15682, 5486, 102780, 61075, 29295, 110567, 16995, 116537, 104735, 251, 29295, 30590, 28190, 55031, 102717, 19732, 124592, 115442, 110104, 121894, 29295, 113727, 102204, 33541, 29295, 5486, 17663, 101832, 29295, 110137, 102802, 100934, 112391, 29295, 30591, 104984, 8239, 114503, 15682, 114392, 38641, 105879, 108149, 109709, 102780, 61075, 20230, 109972, 106529, 29295, 32149, 124403, 104466, 61633, 39926, 106644, 121710, 111842, 110137, 81219, 109768, 47884, 104466, 103801, 109954, 9174, 567, 107429, 111, 16144, 64467, 71289, 102780, 61075, 16144, 71634, 44971, 108981, 198, 105104, 126910, 15682, 105557, 126172, 101832, 16144, 119049, 107079, 29295, 110567, 115737, 103836, 102677, 30926, 15682, 5486, 102780, 16144, 64467, 71289, 102780, 61075, 32977, 100845, 115, 33655, 39926, 110567, 115737, 103836, 125396, 29295, 126574, 38641, 9174, 16995, 126910, 105104, 126910, 15682, 105557, 126172, 101832, 30512, 110137, 81219, 39926, 115289, 33503, 32149, 47884, 120837, 5486, 102780, 16144, 64467, 16144, 119049, 107079, 29295, 110567, 16995, 19732, 53900, 114225, 20230, 73686, 42891, 105714, 124195, 103801, 76947, 108631, 64121, 125334, 38144, 109749, 112997, 29220, 29295, 45736, 109709, 33541, 105879, 5486, 102780, 16144, 64467, 71289, 102780, 61075, 16144, 71634, 44971, 108981, 32977, 21105, 96, 107277, 19732, 23039, 107462, 47884, 30926, 29295, 57207, 107446, 115507, 52414, 30512, 103911, 103181, 54926, 30297, 58942, 77181, 32149, 32149, 72342, 107515, 9174, 102780, 16144, 64467, 71289, 102780, 61075, 30512, 71634, 44971, 108981, 54926, 39177, 15682, 120094, 45829, 20230, 124834, 62004, 20230, 115519, 32149, 107441, 23039, 30297, 19732, 71289, 31431, 126172, 16995, 38641, 9174, 120094, 45829, 20230, 115519, 32149, 107674, 33503, 5486, 71634, 44971, 108981, 123410, 110366, 16144, 102780, 61075, 30512, 116900, 110366, 16144, 104735, 251, 120938, 30591, 28713, 112586, 110498, 72342, 17129, 109954, 9174, 33671, 20230, 5486, 104735, 251, 20230, 110498, 72342, 28713, 102780, 19732, 112361, 110366, 16144, 46034, 16556, 102780, 61075, 30512, 124108, 15024, 5486, 95543, 103359, 110366, 16144, 46034, 15682, 64467, 30512, 102780, 16144, 64467, 16144, 122756, 103214, 104004, 104466, 39926, 17701, 106824, 5486, 21105, 96, 107277, 19732, 102780, 61826, 30512, 19012, 112, 64121, 33541, 9174, 107253, 104874, 29295, 103082, 127567, 5486, 102780, 61075, 29295, 91875, 126660, 104466, 95221, 30512, 122382, 106272, 106644, 121710, 31431, 119448, 47884, 102780, 30512, 18904, 109768, 50834, 17129, 109954, 9174, 39177, 82420, 18904, 111842, 95543, 39177, 82420, 18904, 31431, 30512, 868, 56040, 508, 18904, 120264, 101860, 59739, 18904, 39926, 102780, 16144, 47260, 37823, 30512, 102717, 104699, 72342, 81219, 71634, 44971, 108981, 47406, 35287, 38641, 9174, 51330, 39177, 32977, 5486, 102780, 20230, 108631, 64121, 30512, 112391, 100604, 113314, 20230, 18904, 109768, 47884, 30926, 29295, 107693, 38641, 9174, 85701, 120577, 71634, 44971, 108981, 30512, 121410, 9080, 23039, 30297, 118733, 5486, 57207, 107446, 115507, 52414, 30512, 103911, 103181, 54926, 105908, 125545, 9174, 37656, 102800, 102663, 39880, 30512, 39926, 124011, 109089, 30512, 105465, 21105, 123, 17129, 109954, 9174, 12, 108837, 98, 104915, 123863, 122202, 48864, 198, 12, 21626, 53, 198, 12, 110004, 109076, 113146, 16144, 103787, 101559, 16144, 117876, 15682, 85701, 106609, 12, 46111, 198, 12, 220, 30297, 59739, 103429, 16556, 117876, 29295, 118765, 6447, 29220, 91482, 101983, 110104, 124122, 103359, 117120, 25333, 128001, 128000, 104405, 32977, 90115, 120268, 102138, 10110, 31, 2445, 766, 300, 56390, 7705, 38641, 9174, 114715, 112772, 198, 37689, 109375, 126574, 39276, 102677, 112690, 29295, 89753, 23039, 30369, 101200, 110276, 31431, 117119, 32149, 19732, 123726, 24273, 114556, 39926, 97518, 64209, 29295, 45736, 17129, 76947, 109749, 101200, 110276, 26854, 31431, 79721, 123794, 9174, 118899, 62004, 42891, 104702, 28190, 101828, 16995, 17792, 19732, 20834, 38093, 100472, 116233, 57980, 1811, 37087, 61994, 37689, 109375, 45736, 47884, 100604, 123682, 32977, 105321, 19732, 112844, 104865, 26854, 5486, 17663, 102639, 11972, 28190, 101828, 16995, 123726, 24273, 30512, 103792, 58850, 117255, 19732, 20834, 38093, 100472, 116233, 123794, 9174, 61826, 20230, 78244, 61689, 29295, 5486, 48154, 47884, 48154, 47884, 52591, 103223, 115247, 114083, 27384, 21990, 38641, 9174, 120065, 110589, 15682, 77693, 109853, 87177, 56051, 16995, 26854, 106046, 76947, 52884, 77750, 102181, 102532, 33541, 1811, 17663, 48154, 47884, 108167, 104650, 62004, 16144, 100604, 87177, 26854, 105879, 108149, 25827, 109709, 107734, 102052, 80195, 28713, 100604, 38641, 1811, 17663, 16995, 107515, 1811, 49838, 198, 567, 116422, 104127, 33334, 35330, 30512, 24615, 120, 104699, 109215, 107407, 104865, 26854, 95532, 37271, 55031, 5486, 17663, 42891, 102639, 11972, 110219, 16144, 87177, 123410, 116233, 107493, 111476, 64121, 103171, 33334, 35330, 15682, 27384, 120111, 38641, 123794, 11571, 33334, 35330, 30512, 24615, 120, 105557, 106956, 38641, 123794, 9174, 85701, 30512, 5486, 120065, 118013, 82533, 17129, 76947, 106142, 106353, 20230, 78698, 107290, 64121, 38144, 102717, 102800, 116233, 107493, 117119, 16556, 33334, 35330, 76947, 24615, 120, 104699, 109215, 107407, 106046, 61689, 11571, 95532, 48154, 114053, 125764, 30369, 103846, 11571, 122013, 30512, 106154, 30369, 103846, 11571, 32977, 67016, 127564, 108948, 35330, 110794, 117084, 113797, 114330, 103646, 16995, 55031, 32149, 32977, 95532, 118899, 5486, 112418, 116907, 32977, 123726, 24273, 109853, 78698, 105262, 105908, 43240, 47884, 38144, 125651, 9174, 44620, 116537, 99849, 16144, 113009, 123726, 30369, 104865, 11571, 36761, 76947, 112844, 16144, 30512, 104328, 28713, 17663, 33503, 109337, 104680, 19732, 113727, 106307, 107441, 28713, 116233, 9174, 114774, 5486, 27929, 32977, 27929, 32977, 198, 27384, 25580, 29172, 103306, 114516, 29295, 123726, 30369, 115552, 114016, 100604, 38641, 123794, 9174, 44620, 21990, 17129, 106824, 50834, 38144, 5486, 45829, 10890, 104, 30512, 108618, 39926, 5486, 102625, 112179, 1811, 36761, 76947, 95604, 5486, 24186, 104680, 114516, 20230, 57326, 77750, 32131, 101198, 94550, 103646, 57326, 77750, 32131, 91062, 30512, 90620, 22957, 26854, 17663, 113009, 114516, 15682, 21990, 17129, 106824, 50834, 100934, 9174, 104584, 50834, 50520, 108, 62004, 104533, 85701, 9174, 72661, 77693, 104446, 5486, 112418, 127282, 115200, 16995, 113334, 38641, 9174, 105994, 16556, 123726, 30369, 115552, 30512, 106767, 30813, 100604, 19732, 5486, 123726, 100481, 124324, 110034, 112130, 9174, 77693, 16556, 5486, 118899, 17663, 48154, 47884, 91763, 30297, 112973, 198, 44620, 26854, 104127, 114516, 76947, 122502, 47884, 104865, 26854, 11571, 36761, 76947, 95604, 106592, 17663, 48154, 47884, 113727, 100481, 38144, 9174, 28713, 104369, 25827, 27929, 32977, 27929, 32977, 5486, 114053, 102456, 76947, 122013, 113598, 30297, 113009, 122502, 47884, 116233, 123794, 109807, 103846, 107898, 35330, 30512, 24615, 120, 104699, 109215, 107407, 55031, 122502, 47884, 1811, 109860, 81258, 107430, 54926, 9174, 72661, 77693, 29295, 36785, 102189, 25827, 44620, 33334, 35330, 30512, 24615, 120, 104699, 36761, 102677, 100909, 37026, 33014, 20230, 5486, 113173, 29295, 22324, 32149, 106824, 103801, 103836, 105933, 127749, 101983, 42891, 104702, 30297, 125939, 16144, 106222, 20230, 123726, 38144, 104533, 115389, 72661, 108895, 26854, 76947, 103801, 61689, 9174, 33334, 35330, 30512, 24615, 120, 104699, 76947, 95604, 104468, 32977, 107173, 19732, 114053, 30512, 125764, 30369, 113009, 122013, 30512, 113598, 30297, 113009, 23039, 30297, 112415, 26854, 110115, 5486, 95221, 47000, 102334, 33503, 17792, 21990, 121960, 198, 44620, 33334, 35330, 30512, 24615, 120, 104699, 36761, 76947, 95604, 112415, 37026, 33014, 29295, 105721, 100815, 28542, 117084, 103801, 103836, 30926, 76947, 17663, 48154, 47884, 127181, 119150, 116233, 123794, 9174, 85701, 76947, 105321, 32149, 104721, 26854, 112391, 103801, 72342, 25827, 32149, 11571, 112418, 103378, 26854, 104865, 26854, 1811, 30297, 17129, 47884, 78244, 119841, 107493, 5486, 17663, 48154, 16995, 108010, 34208, 99750, 30512, 112854, 105262, 116233, 9174, 39850, 57207, 30512, 102456, 100472, 31431, 104654, 109768, 47884, 103846, 107898, 35330, 30512, 24615, 120, 117201, 28713, 102040, 78525, 103351, 110115, 111476, 95221, 47000, 102334, 33503, 33334, 35330, 30512, 24615, 120, 104699, 100909, 37026, 33014, 29295, 113173, 117084, 103801, 103836, 9174, 107943, 114754, 17663, 48154, 47884, 127181, 116499, 54926, 26854, 30591, 9174, 2345, 103036, 102138, 124625, 72718, 11144, 44309, 30512, 105525, 110104, 72516, 102351, 98369, 11199, 8165, 2445, 766, 300, 56390, 8, 220, 679, 22, 8107, 605, 9953, 1114, 9080, 198, 567, 125447, 20230, 81258, 107430, 21105, 103, 102518, 114083, 27384, 21990, 198, 16556, 5486, 87177, 30512, 114941, 17663, 116233, 107493, 5486, 118899, 53283, 31431, 40862, 100472, 28190, 101828, 16995, 114083, 27384, 21990, 29295, 102532, 106116, 17792, 112987, 17129, 198, 48154, 47884, 48154, 47884, 110219, 16144, 102667, 21990, 105321, 38641, 123682, 32977, 81258, 76706, 30512, 21105, 103, 102518, 116233, 123794, 9174, 27384, 33014, 81258, 76706, 21105, 103, 16995, 102667, 21990, 76947, 111476, 27452, 116285, 198, 44620, 17039, 124305, 52591, 37823, 108994, 107446, 36761, 103351, 31431, 110162, 107301, 52884, 77750, 16556, 24615, 120, 117201, 107991, 36761, 103351, 31431, 110162, 5486, 107301, 17663, 16556, 20230, 72718, 101275, 103792, 36761, 103351, 31431, 110162, 9174, 102131, 95604, 104346, 20230, 115364, 48634, 16556, 33334, 35330, 30512, 21990, 64121, 20834, 122101, 111476, 16995, 78183, 106644, 30369, 44620, 37689, 109375, 126574, 36761, 19732, 127173, 104028, 114754, 30832, 107294, 47884, 119150, 116233, 107493, 106116, 58850, 117255, 15682, 102131, 95604, 113334, 126194, 76947, 9174, 90620, 105321, 19732, 103470, 81258, 107430, 21105, 103, 102518, 114420, 116233, 123794, 9174, 103854, 59739, 20230, 52884, 77750, 71289, 113017, 113334, 72661, 100604, 15024, 5486, 41642, 112586, 52591, 37823, 108994, 107446, 16144, 114754, 107991, 113334, 72661, 100604, 15024, 5486, 115364, 91482, 76428, 102750, 22398, 71289, 125175, 114792, 103836, 113334, 72661, 100604, 116233, 107493, 81258, 107430, 21105, 103, 102518, 116233, 57980, 9174, 77693, 16556, 110219, 20230, 107750, 99397, 20230, 91763, 61689, 123794, 9174, 44620, 99849, 16556, 81258, 107430, 21105, 103, 117714, 11571, 36761, 76947, 104655, 102334, 116233, 57980, 124845, 33503, 22656, 116537, 57207, 108969, 33710, 20230, 107301, 81258, 107430, 54926, 115552, 29295, 78183, 55031, 104435, 36761, 76947, 95604, 104346, 20230, 112844, 116233, 9174, 72661, 81258, 107430, 21105, 103, 102518, 33503, 5486, 17129, 30591, 114053, 30512, 102456, 76947, 23039, 47884, 109335, 118765, 110034, 112130, 1811, 106759, 16144, 17663, 101832, 32149, 100204, 104533, 32149, 15682, 103283, 38641, 107493, 9174, 109860, 5486, 112418, 15682, 198, 44620, 104654, 106382, 110162, 15682, 104405, 17663, 25827, 16144, 11571, 36761, 76947, 106592, 104655, 102334, 116233, 57980, 9174, 27929, 127564, 115515, 71289, 113017, 66953, 78983, 119279, 103882 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33334, 47884, 109215, 115991, 33541, 9174, 58426, 101399, 20230, 108608, 71634, 44971, 108981, 30512, 126362, 109768, 105898, 16995, 106046, 61689, 9174, 126843, 15682, 102780, 118124, 71289, 105104, 126910, 15682, 105557, 30512, 110137, 81219, 39926, 119049, 107079, 30512, 37823, 32131, 107840, 124545, 71634, 44971, 108981, 38641, 9174, 107928, 30512, 110137, 81219, 56051, 121894, 16556, 115519, 126929, 33541, 113637, 39177, 5486, 120094, 45829, 104309, 29295, 30591, 104984, 120094, 45829, 20230, 124834, 62004, 20230, 115519, 32149, 105784, 104466, 112990, 71634, 44971, 108981, 29295, 71289, 31431, 126172, 115737, 31431, 33541, 9174, 33671, 20230, 5486, 71634, 44971, 108981, 54926, 110366, 16144, 107928, 30512, 104735, 251, 29295, 110137, 102802, 50834, 30369, 104466, 110137, 81219, 78434, 9174, 104735, 251, 30512, 110137, 81219, 127564, 59739, 17129, 61826, 30512, 27929, 33503, 17663, 104466, 39926, 102780, 118124, 71289, 105104, 126910, 15682, 105557, 29295, 21105, 96, 107277, 19732, 110137, 102802, 100934, 121894, 126694, 31431, 33541, 113637, 126101, 108149, 109709, 104195, 47884, 123457, 17701, 106824, 59739, 17129, 61826, 30512, 27929, 33503, 39926, 114732, 19732, 105104, 126910, 15682, 105557, 126172, 101832, 20230, 109972, 106529, 29295, 32149, 126469, 114732, 121142, 71634, 44971, 108981, 102052, 105110, 100604, 105879, 95221, 30512, 122382, 17129, 109954, 9174, 59739, 17129, 61826, 30512, 27929, 33503, 39926, 105104, 126910, 15682, 105557, 30512, 110137, 81219, 56051, 74482, 15682, 5486, 46034, 16556, 117355, 115737, 16556, 100481, 50834, 17129, 109954, 1811, 21441, 231, 102189, 31431, 102717, 104699, 102131, 117408, 109215, 15682, 124897, 1811, 104622, 106624, 26854, 16556, 30369, 121142, 8239, 114503, 107407, 105879, 5486, 109020, 103854, 47884, 119049, 107079, 16144, 105714, 31431, 30512, 89753, 17663, 25197, 126989, 16556, 104622, 106624, 26854, 16556, 30369, 121142, 114392, 8239, 114503, 29295, 125494, 125545, 9174, 567, 220, 17663, 101832, 16144, 32943, 110366, 29295, 108631, 47884, 105110, 100604, 101399, 16144, 71634, 44971, 108981, 198, 106307, 102532, 17663, 101832, 16144, 32943, 110366, 29295, 108631, 47884, 105110, 100604, 104466, 54926, 101399, 16144, 71634, 44971, 108981, 30512, 126362, 78434, 9174, 17663, 101832, 30512, 110137, 81219, 17663, 103846, 102052, 126843, 37656, 103605, 30512, 78434, 9174, 37656, 103605, 126198, 126101, 5486, 17663, 16556, 20230, 119049, 107079, 20230, 108631, 64121, 29295, 102149, 30369, 105879, 30591, 104984, 5486, 102321, 103397, 77181, 71634, 44971, 108981, 123410, 30926, 126036, 119049, 107079, 30512, 105677, 105823, 30369, 118881, 29295, 104622, 61826, 26854, 105879, 5486, 43568, 22649, 39926, 71634, 44971, 108981, 30512, 106307, 23039, 54926, 109335, 71289, 62004, 17129, 109954, 9174, 37656, 103605, 16144, 121894, 55031, 5486, 35818, 24273, 16144, 104735, 251, 103378, 30512, 111140, 120332, 20230, 110794, 109415, 38144, 50834, 17129, 109954, 113637, 126101, 5486, 102780, 61075, 55031, 61826, 15682, 33334, 16175, 119, 16144, 17297, 16556, 30590, 28190, 55031, 106627, 30813, 101860, 5486, 78519, 103605, 16144, 110783, 110095, 30512, 62903, 107610, 103792, 105933, 121894, 115717, 33541, 9174, 102131, 54926, 118733, 5486, 17663, 101832, 16144, 119049, 107079, 29295, 73686, 42891, 105714, 124195, 110137, 81219, 107001, 100909, 115717, 33541, 9174, 106644, 121710, 111842, 110137, 81219, 17663, 118733, 5486, 110567, 115737, 106358, 119049, 107079, 29295, 83747, 21105, 248, 59739, 115289, 33503, 32149, 115737, 76947, 50834, 33541, 1811, 966, 47018, 120264, 30512, 30832, 51385, 20230, 118396, 16144, 107928, 30512, 39209, 106483, 20230, 110137, 81219, 109768, 50834, 17129, 109954, 9174, 51330, 71634, 44971, 108981, 15682, 5486, 102780, 61075, 29295, 110567, 16995, 116537, 104735, 251, 29295, 30590, 28190, 55031, 102717, 19732, 124592, 115442, 110104, 121894, 29295, 113727, 102204, 33541, 29295, 5486, 17663, 101832, 29295, 110137, 102802, 100934, 112391, 29295, 30591, 104984, 8239, 114503, 15682, 114392, 38641, 105879, 108149, 109709, 102780, 61075, 20230, 109972, 106529, 29295, 32149, 124403, 104466, 61633, 39926, 106644, 121710, 111842, 110137, 81219, 109768, 47884, 104466, 103801, 109954, 9174, 567, 107429, 111, 16144, 64467, 71289, 102780, 61075, 16144, 71634, 44971, 108981, 198, 105104, 126910, 15682, 105557, 126172, 101832, 16144, 119049, 107079, 29295, 110567, 115737, 103836, 102677, 30926, 15682, 5486, 102780, 16144, 64467, 71289, 102780, 61075, 32977, 100845, 115, 33655, 39926, 110567, 115737, 103836, 125396, 29295, 126574, 38641, 9174, 16995, 126910, 105104, 126910, 15682, 105557, 126172, 101832, 30512, 110137, 81219, 39926, 115289, 33503, 32149, 47884, 120837, 5486, 102780, 16144, 64467, 16144, 119049, 107079, 29295, 110567, 16995, 19732, 53900, 114225, 20230, 73686, 42891, 105714, 124195, 103801, 76947, 108631, 64121, 125334, 38144, 109749, 112997, 29220, 29295, 45736, 109709, 33541, 105879, 5486, 102780, 16144, 64467, 71289, 102780, 61075, 16144, 71634, 44971, 108981, 32977, 21105, 96, 107277, 19732, 23039, 107462, 47884, 30926, 29295, 57207, 107446, 115507, 52414, 30512, 103911, 103181, 54926, 30297, 58942, 77181, 32149, 32149, 72342, 107515, 9174, 102780, 16144, 64467, 71289, 102780, 61075, 30512, 71634, 44971, 108981, 54926, 39177, 15682, 120094, 45829, 20230, 124834, 62004, 20230, 115519, 32149, 107441, 23039, 30297, 19732, 71289, 31431, 126172, 16995, 38641, 9174, 120094, 45829, 20230, 115519, 32149, 107674, 33503, 5486, 71634, 44971, 108981, 123410, 110366, 16144, 102780, 61075, 30512, 116900, 110366, 16144, 104735, 251, 120938, 30591, 28713, 112586, 110498, 72342, 17129, 109954, 9174, 33671, 20230, 5486, 104735, 251, 20230, 110498, 72342, 28713, 102780, 19732, 112361, 110366, 16144, 46034, 16556, 102780, 61075, 30512, 124108, 15024, 5486, 95543, 103359, 110366, 16144, 46034, 15682, 64467, 30512, 102780, 16144, 64467, 16144, 122756, 103214, 104004, 104466, 39926, 17701, 106824, 5486, 21105, 96, 107277, 19732, 102780, 61826, 30512, 19012, 112, 64121, 33541, 9174, 107253, 104874, 29295, 103082, 127567, 5486, 102780, 61075, 29295, 91875, 126660, 104466, 95221, 30512, 122382, 106272, 106644, 121710, 31431, 119448, 47884, 102780, 30512, 18904, 109768, 50834, 17129, 109954, 9174, 39177, 82420, 18904, 111842, 95543, 39177, 82420, 18904, 31431, 30512, 868, 56040, 508, 18904, 120264, 101860, 59739, 18904, 39926, 102780, 16144, 47260, 37823, 30512, 102717, 104699, 72342, 81219, 71634, 44971, 108981, 47406, 35287, 38641, 9174, 51330, 39177, 32977, 5486, 102780, 20230, 108631, 64121, 30512, 112391, 100604, 113314, 20230, 18904, 109768, 47884, 30926, 29295, 107693, 38641, 9174, 85701, 120577, 71634, 44971, 108981, 30512, 121410, 9080, 23039, 30297, 118733, 5486, 57207, 107446, 115507, 52414, 30512, 103911, 103181, 54926, 105908, 125545, 9174, 37656, 102800, 102663, 39880, 30512, 39926, 124011, 109089, 30512, 105465, 21105, 123, 17129, 109954, 9174, 12, 108837, 98, 104915, 123863, 122202, 48864, 198, 12, 21626, 53, 198, 12, 110004, 109076, 113146, 16144, 103787, 101559, 16144, 117876, 15682, 85701, 106609, 12, 46111, 198, 12, 220, 30297, 59739, 103429, 16556, 117876, 29295, 118765, 6447, 29220, 91482, 101983, 110104, 124122, 103359, 117120, 25333, 128001, 128000, 104405, 32977, 90115, 120268, 102138, 10110, 31, 2445, 766, 300, 56390, 7705, 38641, 9174, 114715, 112772, 198, 37689, 109375, 126574, 39276, 102677, 112690, 29295, 89753, 23039, 30369, 101200, 110276, 31431, 117119, 32149, 19732, 123726, 24273, 114556, 39926, 97518, 64209, 29295, 45736, 17129, 76947, 109749, 101200, 110276, 26854, 31431, 79721, 123794, 9174, 118899, 62004, 42891, 104702, 28190, 101828, 16995, 17792, 19732, 20834, 38093, 100472, 116233, 57980, 1811, 37087, 61994, 37689, 109375, 45736, 47884, 100604, 123682, 32977, 105321, 19732, 112844, 104865, 26854, 5486, 17663, 102639, 11972, 28190, 101828, 16995, 123726, 24273, 30512, 103792, 58850, 117255, 19732, 20834, 38093, 100472, 116233, 123794, 9174, 61826, 20230, 78244, 61689, 29295, 5486, 48154, 47884, 48154, 47884, 52591, 103223, 115247, 114083, 27384, 21990, 38641, 9174, 120065, 110589, 15682, 77693, 109853, 87177, 56051, 16995, 26854, 106046, 76947, 52884, 77750, 102181, 102532, 33541, 1811, 17663, 48154, 47884, 108167, 104650, 62004, 16144, 100604, 87177, 26854, 105879, 108149, 25827, 109709, 107734, 102052, 80195, 28713, 100604, 38641, 1811, 17663, 16995, 107515, 1811, 49838, 198, 567, 116422, 104127, 33334, 35330, 30512, 24615, 120, 104699, 109215, 107407, 104865, 26854, 95532, 37271, 55031, 5486, 17663, 42891, 102639, 11972, 110219, 16144, 87177, 123410, 116233, 107493, 111476, 64121, 103171, 33334, 35330, 15682, 27384, 120111, 38641, 123794, 11571, 33334, 35330, 30512, 24615, 120, 105557, 106956, 38641, 123794, 9174, 85701, 30512, 5486, 120065, 118013, 82533, 17129, 76947, 106142, 106353, 20230, 78698, 107290, 64121, 38144, 102717, 102800, 116233, 107493, 117119, 16556, 33334, 35330, 76947, 24615, 120, 104699, 109215, 107407, 106046, 61689, 11571, 95532, 48154, 114053, 125764, 30369, 103846, 11571, 122013, 30512, 106154, 30369, 103846, 11571, 32977, 67016, 127564, 108948, 35330, 110794, 117084, 113797, 114330, 103646, 16995, 55031, 32149, 32977, 95532, 118899, 5486, 112418, 116907, 32977, 123726, 24273, 109853, 78698, 105262, 105908, 43240, 47884, 38144, 125651, 9174, 44620, 116537, 99849, 16144, 113009, 123726, 30369, 104865, 11571, 36761, 76947, 112844, 16144, 30512, 104328, 28713, 17663, 33503, 109337, 104680, 19732, 113727, 106307, 107441, 28713, 116233, 9174, 114774, 5486, 27929, 32977, 27929, 32977, 198, 27384, 25580, 29172, 103306, 114516, 29295, 123726, 30369, 115552, 114016, 100604, 38641, 123794, 9174, 44620, 21990, 17129, 106824, 50834, 38144, 5486, 45829, 10890, 104, 30512, 108618, 39926, 5486, 102625, 112179, 1811, 36761, 76947, 95604, 5486, 24186, 104680, 114516, 20230, 57326, 77750, 32131, 101198, 94550, 103646, 57326, 77750, 32131, 91062, 30512, 90620, 22957, 26854, 17663, 113009, 114516, 15682, 21990, 17129, 106824, 50834, 100934, 9174, 104584, 50834, 50520, 108, 62004, 104533, 85701, 9174, 72661, 77693, 104446, 5486, 112418, 127282, 115200, 16995, 113334, 38641, 9174, 105994, 16556, 123726, 30369, 115552, 30512, 106767, 30813, 100604, 19732, 5486, 123726, 100481, 124324, 110034, 112130, 9174, 77693, 16556, 5486, 118899, 17663, 48154, 47884, 91763, 30297, 112973, 198, 44620, 26854, 104127, 114516, 76947, 122502, 47884, 104865, 26854, 11571, 36761, 76947, 95604, 106592, 17663, 48154, 47884, 113727, 100481, 38144, 9174, 28713, 104369, 25827, 27929, 32977, 27929, 32977, 5486, 114053, 102456, 76947, 122013, 113598, 30297, 113009, 122502, 47884, 116233, 123794, 109807, 103846, 107898, 35330, 30512, 24615, 120, 104699, 109215, 107407, 55031, 122502, 47884, 1811, 109860, 81258, 107430, 54926, 9174, 72661, 77693, 29295, 36785, 102189, 25827, 44620, 33334, 35330, 30512, 24615, 120, 104699, 36761, 102677, 100909, 37026, 33014, 20230, 5486, 113173, 29295, 22324, 32149, 106824, 103801, 103836, 105933, 127749, 101983, 42891, 104702, 30297, 125939, 16144, 106222, 20230, 123726, 38144, 104533, 115389, 72661, 108895, 26854, 76947, 103801, 61689, 9174, 33334, 35330, 30512, 24615, 120, 104699, 76947, 95604, 104468, 32977, 107173, 19732, 114053, 30512, 125764, 30369, 113009, 122013, 30512, 113598, 30297, 113009, 23039, 30297, 112415, 26854, 110115, 5486, 95221, 47000, 102334, 33503, 17792, 21990, 121960, 198, 44620, 33334, 35330, 30512, 24615, 120, 104699, 36761, 76947, 95604, 112415, 37026, 33014, 29295, 105721, 100815, 28542, 117084, 103801, 103836, 30926, 76947, 17663, 48154, 47884, 127181, 119150, 116233, 123794, 9174, 85701, 76947, 105321, 32149, 104721, 26854, 112391, 103801, 72342, 25827, 32149, 11571, 112418, 103378, 26854, 104865, 26854, 1811, 30297, 17129, 47884, 78244, 119841, 107493, 5486, 17663, 48154, 16995, 108010, 34208, 99750, 30512, 112854, 105262, 116233, 9174, 39850, 57207, 30512, 102456, 100472, 31431, 104654, 109768, 47884, 103846, 107898, 35330, 30512, 24615, 120, 117201, 28713, 102040, 78525, 103351, 110115, 111476, 95221, 47000, 102334, 33503, 33334, 35330, 30512, 24615, 120, 104699, 100909, 37026, 33014, 29295, 113173, 117084, 103801, 103836, 9174, 107943, 114754, 17663, 48154, 47884, 127181, 116499, 54926, 26854, 30591, 9174, 2345, 103036, 102138, 124625, 72718, 11144, 44309, 30512, 105525, 110104, 72516, 102351, 98369, 11199, 8165, 2445, 766, 300, 56390, 8, 220, 679, 22, 8107, 605, 9953, 1114, 9080, 198, 567, 125447, 20230, 81258, 107430, 21105, 103, 102518, 114083, 27384, 21990, 198, 16556, 5486, 87177, 30512, 114941, 17663, 116233, 107493, 5486, 118899, 53283, 31431, 40862, 100472, 28190, 101828, 16995, 114083, 27384, 21990, 29295, 102532, 106116, 17792, 112987, 17129, 198, 48154, 47884, 48154, 47884, 110219, 16144, 102667, 21990, 105321, 38641, 123682, 32977, 81258, 76706, 30512, 21105, 103, 102518, 116233, 123794, 9174, 27384, 33014, 81258, 76706, 21105, 103, 16995, 102667, 21990, 76947, 111476, 27452, 116285, 198, 44620, 17039, 124305, 52591, 37823, 108994, 107446, 36761, 103351, 31431, 110162, 107301, 52884, 77750, 16556, 24615, 120, 117201, 107991, 36761, 103351, 31431, 110162, 5486, 107301, 17663, 16556, 20230, 72718, 101275, 103792, 36761, 103351, 31431, 110162, 9174, 102131, 95604, 104346, 20230, 115364, 48634, 16556, 33334, 35330, 30512, 21990, 64121, 20834, 122101, 111476, 16995, 78183, 106644, 30369, 44620, 37689, 109375, 126574, 36761, 19732, 127173, 104028, 114754, 30832, 107294, 47884, 119150, 116233, 107493, 106116, 58850, 117255, 15682, 102131, 95604, 113334, 126194, 76947, 9174, 90620, 105321, 19732, 103470, 81258, 107430, 21105, 103, 102518, 114420, 116233, 123794, 9174, 103854, 59739, 20230, 52884, 77750, 71289, 113017, 113334, 72661, 100604, 15024, 5486, 41642, 112586, 52591, 37823, 108994, 107446, 16144, 114754, 107991, 113334, 72661, 100604, 15024, 5486, 115364, 91482, 76428, 102750, 22398, 71289, 125175, 114792, 103836, 113334, 72661, 100604, 116233, 107493, 81258, 107430, 21105, 103, 102518, 116233, 57980, 9174, 77693, 16556, 110219, 20230, 107750, 99397, 20230, 91763, 61689, 123794, 9174, 44620, 99849, 16556, 81258, 107430, 21105, 103, 117714, 11571, 36761, 76947, 104655, 102334, 116233, 57980, 124845, 33503, 22656, 116537, 57207, 108969, 33710, 20230, 107301, 81258, 107430, 54926, 115552, 29295, 78183, 55031, 104435, 36761, 76947, 95604, 104346, 20230, 112844, 116233, 9174, 72661, 81258, 107430, 21105, 103, 102518, 33503, 5486, 17129, 30591, 114053, 30512, 102456, 76947, 23039, 47884, 109335, 118765, 110034, 112130, 1811, 106759, 16144, 17663, 101832, 32149, 100204, 104533, 32149, 15682, 103283, 38641, 107493, 9174, 109860, 5486, 112418, 15682, 198, 44620, 104654, 106382, 110162, 15682, 104405, 17663, 25827, 16144, 11571, 36761, 76947, 106592, 104655, 102334, 116233, 57980, 9174, 27929, 127564, 115515, 71289, 113017, 66953, 78983, 119279, 103882 ]
[ 30512, 121406, 66953, 78983, 33503, 106624, 38144, 111476, 44620, 58426, 66953, 78983, 29295, 36785, 102334, 16995, 9953, 16144, 16, 14, 18, 104699, 110706, 122502, 76622, 81219, 104654, 106382, 30512, 71493, 110590, 108608, 104699, 110706, 112197, 35330, 108176, 55031, 5486, 103283, 20230, 77693, 16556, 27384, 121313, 1811, 36761, 198, 102677, 105933, 100909, 115791, 116233, 123794, 9174, 567, 106369, 106390, 44309, 126694, 76947, 5486, 104257, 121370, 26854, 127331, 33503, 21105, 234, 56051, 16995, 103378, 198, 72661, 58426, 45829, 102052, 71289, 31431, 106956, 109335, 15120, 106608, 30591, 76947, 5486, 105994, 16556, 68408, 126590, 56051, 44309, 110162, 102131, 95604, 102944, 126694, 31431, 106956, 76947, 95604, 113871, 15682, 101182, 33503, 106624, 38144, 9174, 110577, 20230, 19967, 31431, 15682, 100204, 62004, 100934, 114420, 116233, 107493, 9174, 44620, 30591, 107118, 5486, 104257, 121370, 26854, 127331, 33503, 21105, 234, 90620, 56051, 16995, 103378, 113461, 123794, 36761, 198, 19732, 112844, 116233, 9174, 44620, 103293, 72718, 50834, 38144, 5486, 103293, 48154, 15682, 25827, 30512, 102456, 115694, 108948, 102185, 107898, 53610, 30512, 122765, 38144, 5486, 114834, 30512, 19012, 225, 21418, 39926, 9174, 22656, 30512, 98499, 104127, 5486, 28713, 17129, 107898, 11881, 120, 48154, 114053, 30512, 48915, 20230, 104369, 33503, 104043, 23039, 100472, 31431, 110162, 5486, 28713, 17129, 102052, 125540, 102750, 47307, 37823, 65299, 91062, 110162, 91774, 120650, 76947, 9174, 112454, 121118, 33503, 53900, 22656, 98499, 104127, 5486, 45114, 102, 109088, 114053, 126694, 76947, 33334, 104346, 17857, 224, 17701, 76947, 106644, 121710, 31431, 121120, 30369, 9174, 107943, 106644, 100472, 31431, 56051, 104257, 121370, 26854, 110219, 16144, 127331, 124949, 123410, 112973, 17663, 48154, 47884, 53901, 112495, 102189, 123794, 1811, 102131, 95604, 104654, 29295, 56051, 16995, 26854, 108861, 1811, 36761, 198, 102677, 30926, 30512, 78244, 106358, 116233, 123794, 9174, 85701, 5486, 109020, 108680, 26854, 76947, 91763, 100472, 116233, 9174, 567, 220, 67645, 103171, 105908, 53901, 112495, 102189, 103950, 32149, 95532, 106142, 106353, 20230, 78698, 107290, 64121, 28713, 116233, 107493, 123334, 112043, 31431, 119869, 20230, 115791, 121640, 81258, 107430, 54926, 76947, 95604, 104468, 104654, 106382, 126694, 30369, 103846, 9174, 77693, 29295, 99849, 33503, 116421, 46034, 38574, 16556, 46034, 109156, 30369, 102189, 100472, 33503, 5486, 103283, 20230, 21105, 103, 47884, 111243, 104712, 116233, 123794, 9174, 58426, 124863, 50834, 104043, 111476, 105994, 29295, 104405, 95604, 112415, 29295, 120111, 16556, 5486, 67645, 103171, 127331, 33503, 21105, 234, 120111, 16556, 5486, 76947, 106592, 21105, 96, 107277, 19732, 78183, 126469, 38144, 5486, 110219, 20230, 58426, 112415, 19732, 58426, 127331, 124949, 126198, 16995, 26854, 106046, 42891, 90620, 76622, 105321, 38641, 123794, 9174, 37689, 109375, 126574, 110162, 104446, 103470, 76947, 5486, 110219, 20230, 71289, 31431, 106956, 55031, 121906, 95604, 104654, 29295, 120111, 109860, 109807, 103846, 107898, 35330, 29295, 109215, 125743, 108048, 15682, 37271, 16144, 66953, 78983, 16556, 17129, 107188, 105262, 102189, 100472, 33503, 37087, 61994, 104712, 19732, 9174, 83812, 249, 33476, 110176, 105242, 101182, 107118, 91763, 61689, 29295, 5486, 112418, 15682, 108895, 95604, 123726, 24273, 32977, 39880, 37823, 122543, 5486, 105321, 32149, 104712, 26854, 76947, 91763, 100472, 116233, 57980, 9174, 109453, 15682, 21105, 96, 107277, 19732, 198, 115364, 44620, 53901, 112495, 112415, 36761, 9458, 44620, 53901, 112495, 104654, 36761, 30512, 53283, 103836, 116233, 9174, 37689, 48915, 19732, 85701, 5486, 53283, 110104, 17792, 43240, 47884, 100604, 112130, 95532, 37689, 48915, 19732, 106515, 72342, 20230, 123726, 30369, 124122, 103899, 107290, 15682, 110904, 116254, 16556, 111476, 115364, 53901, 112495, 109335, 127091, 1811, 115364, 103192, 104004, 104654, 15682, 127091, 109900, 30512, 113954, 39926, 108048, 30512, 103350, 102321, 107726, 104984, 104712, 103378, 26854, 104865, 26854, 11571, 102677, 104346, 20230, 109416, 25827, 71289, 111842, 78698, 107290, 79721, 9174, 112073, 117940, 67645, 103171, 104654, 5486, 67645, 103171, 112415, 30512, 103792, 126101, 106515, 72342, 30512, 112391, 30369, 123253, 32149, 11571, 128001, 128000, 43240, 119064, 107691, 18655, 101275, 30046, 20230, 112984, 23187, 126130, 124730, 54926, 30926, 30512, 13177, 50021, 91774, 108882, 123731, 66383, 105324, 104127, 61689, 9174, 50021, 91774, 108882, 123731, 30512, 67645, 103171, 126101, 72661, 88367, 26854, 104466, 56051, 112973, 5486, 110191, 118372, 16556, 112825, 110904, 20230, 107740, 108608, 16325, 102491, 101918, 16144, 92693, 15120, 106885, 112984, 23187, 116229, 126529, 38641, 9174, 122270, 110371, 50021, 91774, 108882, 123731, 107809, 102052, 112160, 114262, 20230, 112361, 39177, 106145, 20230, 121771, 115867, 112984, 23187, 105335, 26269, 52591, 20230, 105525, 105368, 110526, 101918, 30512, 103350, 104983, 126365, 108882, 32977, 114598, 33503, 76947, 5486, 110022, 40862, 109904, 91774, 108882, 35330, 109518, 30512, 52563, 120837, 33503, 30297, 102677, 115552, 32977, 96412, 17129, 106824, 61689, 9174, 107691, 18655, 122626, 72516, 107809, 102052, 50021, 91774, 108882, 123731, 126198, 29295, 110104, 110229, 32977, 57903, 33541, 29295, 110745, 24273, 113801, 101682, 107441, 32977, 33503, 105262, 116497, 38641, 9174, 53283, 76947, 33334, 102334, 24273, 29295, 126521, 100909, 103306, 5486, 101918, 16144, 107691, 18655, 117903, 121960, 78244, 105262, 109335, 121270, 106045, 54872, 71289, 121568, 106613, 112167, 120950, 31809, 106045, 54872, 26854, 72516, 124750, 19732, 110745, 114435, 77181, 101918, 104088, 108882, 32977, 104533, 50834, 16144, 110783, 110095, 20230, 121953, 107407, 102677, 100909, 38641, 9174, 27384, 114435, 15682, 103087, 35330, 48634, 105352, 122393, 17129, 106824, 61689, 15024, 5486, 107691, 16995, 18655, 100472, 101918, 15682, 114363, 11883, 16144, 122626, 33710, 84477, 16556, 30813, 81219, 47884, 105908, 108608, 105879, 121270, 102491, 101918, 30512, 108882, 110993, 112535, 107691, 16995, 18655, 30369, 16144, 38641, 9174, 43511, 24273, 5486, 61337, 16556, 104662, 62004, 109115, 75146, 107253, 16144, 119318, 116310, 32943, 16556, 67016, 107691, 18655, 121374, 30512, 17905, 17297, 54926, 105908, 103082, 101860, 116898, 100472, 25827, 20379, 103646, 112984, 23187, 35330, 109518, 113115, 15024, 5486, 121374, 39209, 35086, 231, 54926, 89783, 30590, 15682, 103167, 16995, 112973, 102321, 103397, 38641, 9174, 95543, 103359, 20230, 31809, 106045, 54872, 16144, 107691, 18655, 101275, 30046, 104309, 15682, 15120, 101918, 104091, 48154, 19732, 20230, 114300, 31431, 16556, 122626, 54926, 105908, 36668, 38641, 55031, 106116, 101918, 30512, 112984, 23187, 56051, 123532, 101275, 102351, 16144, 122225, 20230, 49988, 107001, 105494, 29295, 119448, 16995, 105879, 115847, 15682, 25197, 102663, 30369, 108995, 106046, 114598, 33503, 58942, 104984, 112984, 23187, 121374, 29295, 17905, 123716, 54926, 125396, 29295, 119448, 118544, 110241, 33121, 107515, 9174, 118823, 30512, 107740, 39926, 110191, 118372, 107809, 102491, 101918, 92693, 15120, 106885, 112984, 23187, 126198, 16995, 106046, 103836, 29295, 5486, 102159, 107707, 120613, 104309, 15682, 108608, 103378, 61304, 17701, 56051, 47884, 100604, 102677, 39177, 102052, 43568, 61304, 13372, 16556, 112984, 23187, 108608, 116229, 30512, 107740, 54926, 102677, 41007, 107407, 105879, 85701, 30512, 76706, 11883, 103801, 109954, 9174, 72661, 5486, 120613, 30512, 31958, 32149, 30813, 101860, 20230, 107740, 88367, 26854, 104468, 92693, 112984, 23187, 103296, 16144, 87177, 38641, 9174, 112984, 23187, 105335, 26269, 52591, 20230, 101918, 104088, 108882, 32977, 114598, 33503, 30297, 104983, 71289, 5486, 105525, 107691, 120273, 103664, 30512, 102971, 104369, 110018, 102052, 5486, 121568, 108134, 30512, 125062, 39926, 108167, 113801, 54926, 109335, 103082, 107515, 9174, 101918, 16144, 107691, 18655, 114363, 103722, 72516, 15682, 102491, 53953, 112167, 101275, 25333, 102677, 112424, 20230, 123532, 76947, 5486, 107691, 18655, 126198, 120007, 16144, 101987, 32938, 71289, 120613, 123160, 121568, 108134, 30512, 61304, 108565, 39926, 33334, 47884, 102677, 104577, 102781, 107407, 16144, 38641, 9174, 101918, 15682, 85707, 107436, 101918, 111800, 110322, 29295, 102404, 23039, 116216, 117758, 8107, 9039, 16556, 71493, 65299, 52414, 39926, 13177, 99849, 8107, 120175, 16144, 101918, 10646, 104309, 19732, 119852, 102491, 30813, 30512, 21405, 78434, 9174, 58426, 107803, 5486, 105107, 67178, 8107, 15682, 43568, 116690, 16556, 108149, 47884, 17129, 72661, 85707, 27479, 125104, 8107, 55031, 9039, 58942, 33541, 55031, 5486, 95221, 116825, 107441, 72315, 9174, 121374, 15682, 8107, 9039, 29295, 103130, 104004, 108680, 51385, 115737, 31431, 5486, 605, 8107, 120175, 107173, 26854, 104984, 112603, 38574, 29295, 59739, 126660, 101918, 32977, 20834, 38144, 50834, 33541, 9174, 16325, 102491, 101918, 102571, 125030, 76947, 15682, 80988, 239, 105714, 76947, 105525, 114598, 126654, 107188, 60632, 105576, 67016, 91774, 104526, 62004, 100604, 47043, 119627, 5486, 107691, 30297, 110366, 55031, 91774, 104984, 121894, 33671, 30537, 77181, 102131, 56051, 101918, 15682, 104734, 16144, 58911, 107173, 78244, 58942, 33541, 9174, 101918, 30512, 112984, 23187, 39926, 111654, 102800, 55031, 102083, 76947, 5486, 107691, 18655, 101275, 112919, 72516, 124750, 20230, 102321, 53953, 30512, 109467, 110794, 104526, 104004, 104468, 43568, 108104, 19732, 67016, 120267, 101200, 115991, 107515, 9174, 42016, 101275, 43511, 61337, 16144, 112984, 23187, 109518, 30512, 125261, 54926, 115789, 110214, 20230, 37507, 72516, 126693, 5486, 50021, 75267, 105755, 51385, 112603, 16556, 105525, 105368, 39926, 114732, 115789, 101182, 55031, 38641, 9174, 90620, 5486, 115303, 59739, 103378, 19361, 111108, 16995, 104468, 5486, 32335, 31809, 48249, 16144, 82973, 16556, 105525, 105368, 46034, 106307, 50834, 30512, 105721, 58942, 110071, 102677, 118733, 109954, 9174, 107691, 18655, 103359, 47523, 117282, 47043, 30512, 110794, 104526, 104127, 112984, 23187, 114475, 105784, 105879, 5486, 103350, 104371, 10110, 110219, 110498, 11883, 101918, 16144, 107803, 7705, 71289, 109215, 102181, 104770, 29295, 64531, 107462, 104984, 5486, 20251, 52414, 16073, 105567, 45829, 16556, 120273, 103664, 47406, 35287, 102677, 115789, 113727, 102204, 33541, 9174, 42634, 107060, 47406, 111587, 123628, 101918, 30512, 105525, 104533, 50834, 15682, 5486, 108618, 31431, 30512, 86348, 124237, 16995, 105721, 107290, 55031, 16556, 123207, 105525, 30369, 109335, 16937, 88367, 38641, 9174, 42634, 107060, 104196, 111587, 16325, 15682, 101918, 16144, 56438, 112607, 15682, 42634, 107060, 108695, 29295, 110794, 5486, 103350, 104983, 16144, 56438, 30046, 13372, 104577, 32977, 42634, 107060, 108695, 103195, 105908, 108936, 9554, 109860, 38641, 9174, 101275, 30046, 20230, 105525, 30369, 112772, 42634, 107060, 16144, 108618, 31431, 30512, 86348, 124237, 105262, 105879, 30591, 104984, 110482, 110104, 16144, 119627, 5486, 110241, 16937, 88367, 105110, 105525, 105368, 109518, 30512, 32977, 76947, 108618, 111331, 102097, 70203, 20230, 18904, 17663, 102677, 46034, 38574, 32977, 57903, 33541, 9174, 67016, 21105, 241, 33121, 102052, 42634, 107060, 108695, 16144, 110008, 31540, 29295, 109947, 124490, 16556, 5486, 46034, 106307, 50834, 32977, 109215, 38641, 55031, 110219, 16144, 105525, 105368, 105755, 15682, 82973, 29295, 32149, 107277, 33541, 9174, 56438, 54926, 101918, 30512, 46034, 54322, 102131, 19732, 113727, 100934, 110018, 102052, 121270, 102491, 101918, 15120, 106885, 112984, 23187, 116229, 30512, 38129, 112990, 5486, 112984, 23187, 35330, 109518, 16144, 50021, 75267, 29295, 15120, 112661, 16556, 17620, 126469, 114732, 105879, 27384, 104721, 33655, 16995, 104284, 46034, 29295, 103424, 117201, 109954, 9174, 102131, 15682, 78244, 114598, 5486, 103350, 104983, 16144, 105525, 105368, 121374, 17129, 77181, 13177, 103350, 112984, 23187, 10646, 39926, 64121, 30369, 17129, 77181, 105321, 107173, 78244, 58942, 107515, 9174, 103672, 103857, 71289, 32943, 99741, 16144, 62903, 78525, 71289, 12870, 117, 64121, 16144, 113314, 108948, 119517, 101918, 111800, 29295, 30591, 19732, 67645, 33121, 120264, 108618, 103836, 32149, 104309, 113468, 5486, 112984, 23187, 109518, 15682, 119448, 47884, 124500, 76947, 50834, 33541, 9174, 16325, 102491, 101918, 30512, 46034, 54322, 102131, 19732, 113727, 100934, 110018, 102052, 112160, 106885, 112984, 23187, 116229, 29295, 118158, 112984, 23187, 113702, 30512, 30591, 109709, 103188, 22023, 54926, 123017, 113727, 53953, 38641, 9174, 8107, 56965, 102149, 23039, 124349, 9039, 16, 32307, 62903, 42634, 39850, 84477, 33710, 102677, 112973, 5486, 115681, 101918, 101275, 98220, 29295, 123782, 9554, 118816, 113727, 100934, 75146, 107253, 112603, 38641, 9174, 90620, 5486, 16, 32307, 62903, 42634, 102677, 104468, 30832, 51385, 19732, 67016, 105110, 101860, 5486, 102491, 16995, 8107, 29430, 16144, 115681, 101918, 103351, 33503, 16, 8107, 56965, 16144, 102149, 23039, 124349, 9039, 15682, 120351, 17620, 106649, 47884, 113727, 110071, 102944, 38641, 9174, 115681, 101918, 30512, 105525, 104533, 50834, 102052, 108608, 103378, 102149, 23039, 124349, 9039, 29295, 106649, 16995, 24273, 29295, 21601, 28542, 103359, 47523, 115717, 33541, 9174, 102149, 23039, 124349, 29295, 106649, 16995, 24273, 29295, 19361, 60632, 119627, 5486, 101513, 109472, 15682, 101544, 16995, 56965, 91875, 32149, 30813, 100604, 16556, 16995, 104533, 32149, 58942, 76947, 99849, 123772, 33503, 16937, 77913, 40862, 29295, 21990, 100204, 126172, 16995, 102944, 126529, 38641, 9174, 102149, 23039, 124349, 9039, 29295, 30591, 109709, 105352, 58426, 101918, 16144, 8107, 29430, 19732, 13393, 96, 31431, 40862, 78183, 100604, 19732, 5486, 110904, 116254, 20230, 102149, 23039, 124349, 9039, 29295, 83747, 100604, 24273, 29295, 112984, 23187, 109518, 122060, 29295, 119448, 16995, 107118, 78244, 58942, 123733, 76947, 50834, 33541, 9174, 113850, 16144, 126521, 98915, 114754, 115364, 101918, 30512, 107691, 102334, 16995, 19732, 102782, 15024, 20834, 28713, 110018, 104309, 102052, 5486, 31640, 35330, 16144, 46456, 124237, 16995, 123160, 103664, 64063, 30926, 29295, 27552, 244, 11881, 100, 115717, 126172, 16995, 125651, 9174, 103926, 101918, 30512, 105525, 30369, 104468, 107188, 31431, 27384, 112495, 33334, 35330, 29295, 91875, 102532, 112672, 16144, 30926, 120910, 38641, 9174, 67645, 103171, 20230, 106759, 102800, 56965, 120910, 103351, 103306, 32977, 5486, 46456, 124237, 16995, 41007, 71289, 101918, 16144, 105525, 105368, 35330, 109518, 5486, 13372, 104577, 122489, 16144, 23538, 9080, 104309, 110745, 102769, 26854, 30926, 120910, 114556, 39926, 15682, 50834, 43514, 127842, 102181, 28190, 20230, 56051, 103846, 30369, 125231, 38641, 9174, 50834, 43514, 127842, 104611, 102181, 126694, 30369, 16144, 30512, 115389, 29295, 30369, 17792, 77181, 116898, 126910, 106759, 102800, 98915, 17792, 72661, 74482, 55031, 20251, 32131, 112193, 29295, 72718, 50834, 30369, 125396, 29295, 126574, 105879, 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 ]
[ 30512, 121406, 66953, 78983, 33503, 106624, 38144, 111476, 44620, 58426, 66953, 78983, 29295, 36785, 102334, 16995, 9953, 16144, 16, 14, 18, 104699, 110706, 122502, 76622, 81219, 104654, 106382, 30512, 71493, 110590, 108608, 104699, 110706, 112197, 35330, 108176, 55031, 5486, 103283, 20230, 77693, 16556, 27384, 121313, 1811, 36761, 198, 102677, 105933, 100909, 115791, 116233, 123794, 9174, 567, 106369, 106390, 44309, 126694, 76947, 5486, 104257, 121370, 26854, 127331, 33503, 21105, 234, 56051, 16995, 103378, 198, 72661, 58426, 45829, 102052, 71289, 31431, 106956, 109335, 15120, 106608, 30591, 76947, 5486, 105994, 16556, 68408, 126590, 56051, 44309, 110162, 102131, 95604, 102944, 126694, 31431, 106956, 76947, 95604, 113871, 15682, 101182, 33503, 106624, 38144, 9174, 110577, 20230, 19967, 31431, 15682, 100204, 62004, 100934, 114420, 116233, 107493, 9174, 44620, 30591, 107118, 5486, 104257, 121370, 26854, 127331, 33503, 21105, 234, 90620, 56051, 16995, 103378, 113461, 123794, 36761, 198, 19732, 112844, 116233, 9174, 44620, 103293, 72718, 50834, 38144, 5486, 103293, 48154, 15682, 25827, 30512, 102456, 115694, 108948, 102185, 107898, 53610, 30512, 122765, 38144, 5486, 114834, 30512, 19012, 225, 21418, 39926, 9174, 22656, 30512, 98499, 104127, 5486, 28713, 17129, 107898, 11881, 120, 48154, 114053, 30512, 48915, 20230, 104369, 33503, 104043, 23039, 100472, 31431, 110162, 5486, 28713, 17129, 102052, 125540, 102750, 47307, 37823, 65299, 91062, 110162, 91774, 120650, 76947, 9174, 112454, 121118, 33503, 53900, 22656, 98499, 104127, 5486, 45114, 102, 109088, 114053, 126694, 76947, 33334, 104346, 17857, 224, 17701, 76947, 106644, 121710, 31431, 121120, 30369, 9174, 107943, 106644, 100472, 31431, 56051, 104257, 121370, 26854, 110219, 16144, 127331, 124949, 123410, 112973, 17663, 48154, 47884, 53901, 112495, 102189, 123794, 1811, 102131, 95604, 104654, 29295, 56051, 16995, 26854, 108861, 1811, 36761, 198, 102677, 30926, 30512, 78244, 106358, 116233, 123794, 9174, 85701, 5486, 109020, 108680, 26854, 76947, 91763, 100472, 116233, 9174, 567, 220, 67645, 103171, 105908, 53901, 112495, 102189, 103950, 32149, 95532, 106142, 106353, 20230, 78698, 107290, 64121, 28713, 116233, 107493, 123334, 112043, 31431, 119869, 20230, 115791, 121640, 81258, 107430, 54926, 76947, 95604, 104468, 104654, 106382, 126694, 30369, 103846, 9174, 77693, 29295, 99849, 33503, 116421, 46034, 38574, 16556, 46034, 109156, 30369, 102189, 100472, 33503, 5486, 103283, 20230, 21105, 103, 47884, 111243, 104712, 116233, 123794, 9174, 58426, 124863, 50834, 104043, 111476, 105994, 29295, 104405, 95604, 112415, 29295, 120111, 16556, 5486, 67645, 103171, 127331, 33503, 21105, 234, 120111, 16556, 5486, 76947, 106592, 21105, 96, 107277, 19732, 78183, 126469, 38144, 5486, 110219, 20230, 58426, 112415, 19732, 58426, 127331, 124949, 126198, 16995, 26854, 106046, 42891, 90620, 76622, 105321, 38641, 123794, 9174, 37689, 109375, 126574, 110162, 104446, 103470, 76947, 5486, 110219, 20230, 71289, 31431, 106956, 55031, 121906, 95604, 104654, 29295, 120111, 109860, 109807, 103846, 107898, 35330, 29295, 109215, 125743, 108048, 15682, 37271, 16144, 66953, 78983, 16556, 17129, 107188, 105262, 102189, 100472, 33503, 37087, 61994, 104712, 19732, 9174, 83812, 249, 33476, 110176, 105242, 101182, 107118, 91763, 61689, 29295, 5486, 112418, 15682, 108895, 95604, 123726, 24273, 32977, 39880, 37823, 122543, 5486, 105321, 32149, 104712, 26854, 76947, 91763, 100472, 116233, 57980, 9174, 109453, 15682, 21105, 96, 107277, 19732, 198, 115364, 44620, 53901, 112495, 112415, 36761, 9458, 44620, 53901, 112495, 104654, 36761, 30512, 53283, 103836, 116233, 9174, 37689, 48915, 19732, 85701, 5486, 53283, 110104, 17792, 43240, 47884, 100604, 112130, 95532, 37689, 48915, 19732, 106515, 72342, 20230, 123726, 30369, 124122, 103899, 107290, 15682, 110904, 116254, 16556, 111476, 115364, 53901, 112495, 109335, 127091, 1811, 115364, 103192, 104004, 104654, 15682, 127091, 109900, 30512, 113954, 39926, 108048, 30512, 103350, 102321, 107726, 104984, 104712, 103378, 26854, 104865, 26854, 11571, 102677, 104346, 20230, 109416, 25827, 71289, 111842, 78698, 107290, 79721, 9174, 112073, 117940, 67645, 103171, 104654, 5486, 67645, 103171, 112415, 30512, 103792, 126101, 106515, 72342, 30512, 112391, 30369, 123253, 32149, 11571, 128001, 128000, 43240, 119064, 107691, 18655, 101275, 30046, 20230, 112984, 23187, 126130, 124730, 54926, 30926, 30512, 13177, 50021, 91774, 108882, 123731, 66383, 105324, 104127, 61689, 9174, 50021, 91774, 108882, 123731, 30512, 67645, 103171, 126101, 72661, 88367, 26854, 104466, 56051, 112973, 5486, 110191, 118372, 16556, 112825, 110904, 20230, 107740, 108608, 16325, 102491, 101918, 16144, 92693, 15120, 106885, 112984, 23187, 116229, 126529, 38641, 9174, 122270, 110371, 50021, 91774, 108882, 123731, 107809, 102052, 112160, 114262, 20230, 112361, 39177, 106145, 20230, 121771, 115867, 112984, 23187, 105335, 26269, 52591, 20230, 105525, 105368, 110526, 101918, 30512, 103350, 104983, 126365, 108882, 32977, 114598, 33503, 76947, 5486, 110022, 40862, 109904, 91774, 108882, 35330, 109518, 30512, 52563, 120837, 33503, 30297, 102677, 115552, 32977, 96412, 17129, 106824, 61689, 9174, 107691, 18655, 122626, 72516, 107809, 102052, 50021, 91774, 108882, 123731, 126198, 29295, 110104, 110229, 32977, 57903, 33541, 29295, 110745, 24273, 113801, 101682, 107441, 32977, 33503, 105262, 116497, 38641, 9174, 53283, 76947, 33334, 102334, 24273, 29295, 126521, 100909, 103306, 5486, 101918, 16144, 107691, 18655, 117903, 121960, 78244, 105262, 109335, 121270, 106045, 54872, 71289, 121568, 106613, 112167, 120950, 31809, 106045, 54872, 26854, 72516, 124750, 19732, 110745, 114435, 77181, 101918, 104088, 108882, 32977, 104533, 50834, 16144, 110783, 110095, 20230, 121953, 107407, 102677, 100909, 38641, 9174, 27384, 114435, 15682, 103087, 35330, 48634, 105352, 122393, 17129, 106824, 61689, 15024, 5486, 107691, 16995, 18655, 100472, 101918, 15682, 114363, 11883, 16144, 122626, 33710, 84477, 16556, 30813, 81219, 47884, 105908, 108608, 105879, 121270, 102491, 101918, 30512, 108882, 110993, 112535, 107691, 16995, 18655, 30369, 16144, 38641, 9174, 43511, 24273, 5486, 61337, 16556, 104662, 62004, 109115, 75146, 107253, 16144, 119318, 116310, 32943, 16556, 67016, 107691, 18655, 121374, 30512, 17905, 17297, 54926, 105908, 103082, 101860, 116898, 100472, 25827, 20379, 103646, 112984, 23187, 35330, 109518, 113115, 15024, 5486, 121374, 39209, 35086, 231, 54926, 89783, 30590, 15682, 103167, 16995, 112973, 102321, 103397, 38641, 9174, 95543, 103359, 20230, 31809, 106045, 54872, 16144, 107691, 18655, 101275, 30046, 104309, 15682, 15120, 101918, 104091, 48154, 19732, 20230, 114300, 31431, 16556, 122626, 54926, 105908, 36668, 38641, 55031, 106116, 101918, 30512, 112984, 23187, 56051, 123532, 101275, 102351, 16144, 122225, 20230, 49988, 107001, 105494, 29295, 119448, 16995, 105879, 115847, 15682, 25197, 102663, 30369, 108995, 106046, 114598, 33503, 58942, 104984, 112984, 23187, 121374, 29295, 17905, 123716, 54926, 125396, 29295, 119448, 118544, 110241, 33121, 107515, 9174, 118823, 30512, 107740, 39926, 110191, 118372, 107809, 102491, 101918, 92693, 15120, 106885, 112984, 23187, 126198, 16995, 106046, 103836, 29295, 5486, 102159, 107707, 120613, 104309, 15682, 108608, 103378, 61304, 17701, 56051, 47884, 100604, 102677, 39177, 102052, 43568, 61304, 13372, 16556, 112984, 23187, 108608, 116229, 30512, 107740, 54926, 102677, 41007, 107407, 105879, 85701, 30512, 76706, 11883, 103801, 109954, 9174, 72661, 5486, 120613, 30512, 31958, 32149, 30813, 101860, 20230, 107740, 88367, 26854, 104468, 92693, 112984, 23187, 103296, 16144, 87177, 38641, 9174, 112984, 23187, 105335, 26269, 52591, 20230, 101918, 104088, 108882, 32977, 114598, 33503, 30297, 104983, 71289, 5486, 105525, 107691, 120273, 103664, 30512, 102971, 104369, 110018, 102052, 5486, 121568, 108134, 30512, 125062, 39926, 108167, 113801, 54926, 109335, 103082, 107515, 9174, 101918, 16144, 107691, 18655, 114363, 103722, 72516, 15682, 102491, 53953, 112167, 101275, 25333, 102677, 112424, 20230, 123532, 76947, 5486, 107691, 18655, 126198, 120007, 16144, 101987, 32938, 71289, 120613, 123160, 121568, 108134, 30512, 61304, 108565, 39926, 33334, 47884, 102677, 104577, 102781, 107407, 16144, 38641, 9174, 101918, 15682, 85707, 107436, 101918, 111800, 110322, 29295, 102404, 23039, 116216, 117758, 8107, 9039, 16556, 71493, 65299, 52414, 39926, 13177, 99849, 8107, 120175, 16144, 101918, 10646, 104309, 19732, 119852, 102491, 30813, 30512, 21405, 78434, 9174, 58426, 107803, 5486, 105107, 67178, 8107, 15682, 43568, 116690, 16556, 108149, 47884, 17129, 72661, 85707, 27479, 125104, 8107, 55031, 9039, 58942, 33541, 55031, 5486, 95221, 116825, 107441, 72315, 9174, 121374, 15682, 8107, 9039, 29295, 103130, 104004, 108680, 51385, 115737, 31431, 5486, 605, 8107, 120175, 107173, 26854, 104984, 112603, 38574, 29295, 59739, 126660, 101918, 32977, 20834, 38144, 50834, 33541, 9174, 16325, 102491, 101918, 102571, 125030, 76947, 15682, 80988, 239, 105714, 76947, 105525, 114598, 126654, 107188, 60632, 105576, 67016, 91774, 104526, 62004, 100604, 47043, 119627, 5486, 107691, 30297, 110366, 55031, 91774, 104984, 121894, 33671, 30537, 77181, 102131, 56051, 101918, 15682, 104734, 16144, 58911, 107173, 78244, 58942, 33541, 9174, 101918, 30512, 112984, 23187, 39926, 111654, 102800, 55031, 102083, 76947, 5486, 107691, 18655, 101275, 112919, 72516, 124750, 20230, 102321, 53953, 30512, 109467, 110794, 104526, 104004, 104468, 43568, 108104, 19732, 67016, 120267, 101200, 115991, 107515, 9174, 42016, 101275, 43511, 61337, 16144, 112984, 23187, 109518, 30512, 125261, 54926, 115789, 110214, 20230, 37507, 72516, 126693, 5486, 50021, 75267, 105755, 51385, 112603, 16556, 105525, 105368, 39926, 114732, 115789, 101182, 55031, 38641, 9174, 90620, 5486, 115303, 59739, 103378, 19361, 111108, 16995, 104468, 5486, 32335, 31809, 48249, 16144, 82973, 16556, 105525, 105368, 46034, 106307, 50834, 30512, 105721, 58942, 110071, 102677, 118733, 109954, 9174, 107691, 18655, 103359, 47523, 117282, 47043, 30512, 110794, 104526, 104127, 112984, 23187, 114475, 105784, 105879, 5486, 103350, 104371, 10110, 110219, 110498, 11883, 101918, 16144, 107803, 7705, 71289, 109215, 102181, 104770, 29295, 64531, 107462, 104984, 5486, 20251, 52414, 16073, 105567, 45829, 16556, 120273, 103664, 47406, 35287, 102677, 115789, 113727, 102204, 33541, 9174, 42634, 107060, 47406, 111587, 123628, 101918, 30512, 105525, 104533, 50834, 15682, 5486, 108618, 31431, 30512, 86348, 124237, 16995, 105721, 107290, 55031, 16556, 123207, 105525, 30369, 109335, 16937, 88367, 38641, 9174, 42634, 107060, 104196, 111587, 16325, 15682, 101918, 16144, 56438, 112607, 15682, 42634, 107060, 108695, 29295, 110794, 5486, 103350, 104983, 16144, 56438, 30046, 13372, 104577, 32977, 42634, 107060, 108695, 103195, 105908, 108936, 9554, 109860, 38641, 9174, 101275, 30046, 20230, 105525, 30369, 112772, 42634, 107060, 16144, 108618, 31431, 30512, 86348, 124237, 105262, 105879, 30591, 104984, 110482, 110104, 16144, 119627, 5486, 110241, 16937, 88367, 105110, 105525, 105368, 109518, 30512, 32977, 76947, 108618, 111331, 102097, 70203, 20230, 18904, 17663, 102677, 46034, 38574, 32977, 57903, 33541, 9174, 67016, 21105, 241, 33121, 102052, 42634, 107060, 108695, 16144, 110008, 31540, 29295, 109947, 124490, 16556, 5486, 46034, 106307, 50834, 32977, 109215, 38641, 55031, 110219, 16144, 105525, 105368, 105755, 15682, 82973, 29295, 32149, 107277, 33541, 9174, 56438, 54926, 101918, 30512, 46034, 54322, 102131, 19732, 113727, 100934, 110018, 102052, 121270, 102491, 101918, 15120, 106885, 112984, 23187, 116229, 30512, 38129, 112990, 5486, 112984, 23187, 35330, 109518, 16144, 50021, 75267, 29295, 15120, 112661, 16556, 17620, 126469, 114732, 105879, 27384, 104721, 33655, 16995, 104284, 46034, 29295, 103424, 117201, 109954, 9174, 102131, 15682, 78244, 114598, 5486, 103350, 104983, 16144, 105525, 105368, 121374, 17129, 77181, 13177, 103350, 112984, 23187, 10646, 39926, 64121, 30369, 17129, 77181, 105321, 107173, 78244, 58942, 107515, 9174, 103672, 103857, 71289, 32943, 99741, 16144, 62903, 78525, 71289, 12870, 117, 64121, 16144, 113314, 108948, 119517, 101918, 111800, 29295, 30591, 19732, 67645, 33121, 120264, 108618, 103836, 32149, 104309, 113468, 5486, 112984, 23187, 109518, 15682, 119448, 47884, 124500, 76947, 50834, 33541, 9174, 16325, 102491, 101918, 30512, 46034, 54322, 102131, 19732, 113727, 100934, 110018, 102052, 112160, 106885, 112984, 23187, 116229, 29295, 118158, 112984, 23187, 113702, 30512, 30591, 109709, 103188, 22023, 54926, 123017, 113727, 53953, 38641, 9174, 8107, 56965, 102149, 23039, 124349, 9039, 16, 32307, 62903, 42634, 39850, 84477, 33710, 102677, 112973, 5486, 115681, 101918, 101275, 98220, 29295, 123782, 9554, 118816, 113727, 100934, 75146, 107253, 112603, 38641, 9174, 90620, 5486, 16, 32307, 62903, 42634, 102677, 104468, 30832, 51385, 19732, 67016, 105110, 101860, 5486, 102491, 16995, 8107, 29430, 16144, 115681, 101918, 103351, 33503, 16, 8107, 56965, 16144, 102149, 23039, 124349, 9039, 15682, 120351, 17620, 106649, 47884, 113727, 110071, 102944, 38641, 9174, 115681, 101918, 30512, 105525, 104533, 50834, 102052, 108608, 103378, 102149, 23039, 124349, 9039, 29295, 106649, 16995, 24273, 29295, 21601, 28542, 103359, 47523, 115717, 33541, 9174, 102149, 23039, 124349, 29295, 106649, 16995, 24273, 29295, 19361, 60632, 119627, 5486, 101513, 109472, 15682, 101544, 16995, 56965, 91875, 32149, 30813, 100604, 16556, 16995, 104533, 32149, 58942, 76947, 99849, 123772, 33503, 16937, 77913, 40862, 29295, 21990, 100204, 126172, 16995, 102944, 126529, 38641, 9174, 102149, 23039, 124349, 9039, 29295, 30591, 109709, 105352, 58426, 101918, 16144, 8107, 29430, 19732, 13393, 96, 31431, 40862, 78183, 100604, 19732, 5486, 110904, 116254, 20230, 102149, 23039, 124349, 9039, 29295, 83747, 100604, 24273, 29295, 112984, 23187, 109518, 122060, 29295, 119448, 16995, 107118, 78244, 58942, 123733, 76947, 50834, 33541, 9174, 113850, 16144, 126521, 98915, 114754, 115364, 101918, 30512, 107691, 102334, 16995, 19732, 102782, 15024, 20834, 28713, 110018, 104309, 102052, 5486, 31640, 35330, 16144, 46456, 124237, 16995, 123160, 103664, 64063, 30926, 29295, 27552, 244, 11881, 100, 115717, 126172, 16995, 125651, 9174, 103926, 101918, 30512, 105525, 30369, 104468, 107188, 31431, 27384, 112495, 33334, 35330, 29295, 91875, 102532, 112672, 16144, 30926, 120910, 38641, 9174, 67645, 103171, 20230, 106759, 102800, 56965, 120910, 103351, 103306, 32977, 5486, 46456, 124237, 16995, 41007, 71289, 101918, 16144, 105525, 105368, 35330, 109518, 5486, 13372, 104577, 122489, 16144, 23538, 9080, 104309, 110745, 102769, 26854, 30926, 120910, 114556, 39926, 15682, 50834, 43514, 127842, 102181, 28190, 20230, 56051, 103846, 30369, 125231, 38641, 9174, 50834, 43514, 127842, 104611, 102181, 126694, 30369, 16144, 30512, 115389, 29295, 30369, 17792, 77181, 116898, 126910, 106759, 102800, 98915, 17792, 72661, 74482, 55031, 20251, 32131, 112193, 29295, 72718, 50834, 30369, 125396, 29295, 126574, 105879, 5486 ]
[ 109020, 103854, 47884, 105110, 105525, 107691, 54926, 16144, 30512, 82533, 109013, 24273, 29295, 103424, 117201, 109954, 1811, 128001, 128000, 2, 103067, 239, 105301, 16144, 115981, 48864, 198, 89408, 16144, 105140, 5486, 112418, 15682, 106786, 29295, 120111, 115717, 79721, 1811, 105301, 113487, 50834, 123410, 101200, 110276, 55031, 38641, 9174, 106786, 123470, 122539, 95221, 30512, 114392, 20230, 96412, 102189, 74090, 15682, 5486, 105301, 30512, 113487, 47884, 102052, 115924, 53901, 16144, 107507, 101198, 94550, 126529, 38641, 9174, 105301, 113487, 50834, 30512, 106307, 105784, 16325, 16556, 95221, 109669, 47884, 105908, 57903, 33541, 109900, 15682, 13177, 117430, 15682, 37026, 33503, 29295, 109431, 56051, 117501, 20230, 21990, 101662, 54926, 66383, 95604, 100909, 9174, 114181, 105085, 112990, 5486, 122202, 105301, 105352, 77693, 108422, 33121, 20230, 50928, 37689, 117408, 117501, 107407, 112973, 78183, 107277, 33541, 1811, 9080, 104364, 15024, 30512, 103809, 99, 104680, 10110, 98369, 98369, 7705, 19732, 101682, 76622, 104533, 107404, 5486, 117073, 40265, 28713, 110104, 110229, 5486, 106786, 105651, 16144, 127181, 110229, 5486, 102571, 102831, 20230, 125062, 103468, 110229, 5486, 110567, 16995, 74090, 5486, 115289, 33503, 121867, 74090, 16449, 16449, 198, 108064, 32977, 104662, 117864, 116245, 20230, 104662, 117864, 117430, 1811, 28713, 19732, 58942, 102831, 55031, 113487, 102532, 32977, 5486, 53900, 112361, 105933, 117501, 20230, 21990, 107290, 50834, 33541, 9174, 102677, 109335, 115847, 15682, 13177, 93488, 99959, 91062, 111769, 66383, 78244, 105262, 116497, 38641, 9174, 567, 63091, 61994, 98220, 16144, 25333, 108630, 15682, 13177, 109431, 30046, 21990, 25359, 111329, 116537, 109431, 56051, 117501, 30512, 37026, 33503, 102647, 103854, 30369, 198, 114652, 13177, 22324, 32149, 103468, 116245, 16556, 117176, 112495, 65316, 66383, 95604, 112690, 30512, 104655, 50834, 33541, 29295, 5486, 22324, 32149, 103468, 116245, 16556, 123726, 108618, 104028, 32149, 104405, 32149, 15682, 106116, 117430, 16144, 117501, 109431, 34171, 112212, 33541, 1811, 60868, 103672, 57933, 113883, 104091, 30512, 31809, 101701, 16144, 102717, 19732, 112586, 22324, 102532, 32977, 5486, 102185, 15682, 117176, 50834, 107515, 9174, 114516, 120885, 109683, 112028, 34048, 1811, 43568, 22649, 26854, 117501, 77181, 101662, 43514, 107515, 9174, 90620, 5486, 114516, 15682, 127177, 112027, 19732, 121953, 5486, 117501, 20230, 96356, 30512, 106644, 36785, 101832, 30369, 121142, 103470, 5486, 105994, 16556, 117501, 30512, 102647, 102802, 5486, 122270, 112909, 21601, 58942, 64531, 105262, 115789, 125545, 109900, 15682, 33710, 64178, 108010, 95543, 126194, 5486, 80195, 105647, 26854, 123726, 24273, 112028, 59739, 36785, 106046, 61689, 9174, 80539, 105994, 15682, 32977, 43514, 85791, 25827, 5486, 43511, 112919, 117501, 105352, 64209, 30512, 55487, 104028, 112973, 114516, 38641, 9174, 13177, 110074, 102639, 30369, 10646, 15682, 102750, 102472, 103906, 52884, 26854, 110315, 50834, 119627, 117119, 126036, 27384, 30926, 26854, 104468, 13177, 123726, 30369, 10646, 100909, 109900, 15682, 13177, 110074, 102639, 10646, 126194, 36896, 102647, 102802, 59712, 64531, 105262, 10646, 100909, 9174, 111098, 76622, 102204, 100604, 109249, 51609, 105110, 101682, 76622, 17701, 104028, 104195, 30813, 32977, 109215, 119627, 108048, 15682, 44971, 39880, 126465, 1811, 17129, 39926, 108048, 30512, 17792, 20230, 104195, 107991, 109335, 103082, 107515, 9174, 117501, 30512, 104721, 58942, 104533, 50834, 15682, 108048, 30512, 13177, 110074, 102639, 10646, 71289, 13177, 109972, 76622, 66383, 91763, 124059, 5486, 106786, 105651, 30512, 28713, 108005, 115, 31431, 96412, 102189, 74090, 29295, 5486, 105301, 113487, 50834, 30512, 119237, 117657, 104466, 5486, 103558, 97, 117714, 64209, 16556, 121906, 54926, 105994, 71289, 43511, 30046, 20230, 30177, 109768, 105898, 16995, 106046, 61689, 9174, 37026, 33503, 30512, 76706, 32149, 17663, 74090, 45826, 234, 29295, 30591, 76947, 15682, 100204, 107436, 5486, 118958, 15682, 121771, 17129, 102800, 102831, 30512, 105714, 31431, 33541, 9174, 108064, 32977, 101987, 64121, 57980, 16995, 32938, 102416, 9174, 17161, 5232, 31540, 116581, 104577, 118022, 107879, 113, 5232, 28713, 109669, 22957, 128001, 128000, 679, 20, 8107, 23, 9953, 23, 9080, 24, 9080, 5486, 108931, 104378, 102667, 16556, 64810, 101198, 118567, 117824, 16995, 79721, 1811, 18, 9953, 20230, 115933, 116581, 102687, 16556, 23039, 100472, 64810, 101198, 118567, 15682, 109519, 101662, 116690, 112919, 110284, 29295, 43240, 102518, 119627, 115515, 18904, 15682, 104575, 100927, 102351, 16144, 110284, 29295, 43240, 102518, 38641, 1811, 115933, 116581, 102687, 19732, 42016, 103826, 16144, 44915, 16556, 56051, 29295, 5486, 110284, 112919, 112073, 98369, 117758, 48154, 105284, 99397, 5486, 48154, 37689, 91774, 5486, 48154, 99750, 101067, 29295, 115933, 116581, 102687, 16144, 110018, 107118, 108901, 109020, 102944, 32977, 43240, 47884, 5486, 23226, 107436, 48864, 108710, 16144, 113841, 9554, 53229, 22649, 30512, 103350, 99750, 102334, 121256, 1811, 88852, 5486, 110284, 112919, 112073, 98369, 20230, 115962, 102334, 113164, 102663, 84477, 113702, 38641, 107751, 112919, 99750, 101067, 30512, 98499, 104004, 118733, 122270, 48864, 102802, 30512, 102987, 109013, 31431, 5486, 115364, 48864, 102802, 30512, 65854, 114181, 103984, 56051, 31431, 50021, 103359, 33208, 56051, 31431, 109768, 90620, 118145, 106046, 61689, 115397, 34048, 5486, 36668, 113497, 30046, 110366, 117758, 90178, 30512, 11144, 64780, 11199, 20230, 102181, 102532, 61689, 9174, 13177, 60868, 109089, 16144, 91774, 24273, 19732, 31809, 113173, 16144, 108167, 24273, 109853, 83747, 21105, 254, 76622, 78183, 102518, 116499, 121256, 111329, 13177, 3624, 3481, 50, 16144, 107624, 95001, 71289, 103984, 28542, 30512, 48864, 103854, 5486, 122678, 107918, 16144, 75267, 113245, 122521, 20230, 21990, 123772, 24273, 30512, 48864, 103854, 79721, 111329, 13177, 46034, 38574, 19732, 113173, 1811, 121432, 9554, 22398, 62903, 114615, 102404, 104067, 30512, 122521, 54926, 100909, 126636, 102769, 30813, 1811, 104405, 120837, 22398, 62903, 114615, 122635, 122416, 20230, 26130, 30832, 21105, 234, 43514, 103351, 105879, 111329, 13177, 3624, 3481, 50, 107118, 45829, 67645, 32977, 29295, 105755, 27327, 91875, 112535, 112415, 20230, 110284, 108608, 104466, 54926, 124122, 122521, 30512, 78698, 105262, 20119, 254, 103214, 64121, 103195, 111329, 13177, 103826, 104680, 26854, 80805, 102514, 113883, 118283, 39880, 122835, 111329, 13177, 3624, 3481, 50, 16144, 108729, 109904, 113727, 24273, 71289, 11883, 102158, 109853, 1811, 50, 2599, 24540, 16144, 122382, 24273, 59459, 67645, 33121, 103378, 96356, 107294, 102334, 32149, 15682, 103283, 119627, 1981, 7705, 111329, 13177, 85707, 107436, 110284, 103082, 5486, 57980, 102518, 38641, 1811, 1981, 80673, 117119, 30512, 48864, 102189, 33503, 104712, 104865, 123334, 112043, 31431, 31958, 105184, 77181, 104435, 105879, 115515, 123470, 105408, 24273, 16144, 28308, 241, 102404, 20230, 125494, 127145, 1811, 105994, 116907, 37656, 106624, 48864, 115694, 100604, 116499, 78434, 111329, 13177, 3624, 3481, 50, 109853, 5486, 105994, 29295, 22656, 30512, 98499, 104004, 121142, 103470, 5486, 23226, 107436, 87177, 30512, 104655, 32149, 72342, 100481, 90620, 102334, 109335, 48864, 102802, 115717, 79721, 1811, 50, 2599, 24540, 16144, 108167, 24273, 32977, 53508, 231, 104195, 115717, 79721, 111329, 13177, 3624, 3481, 50, 16144, 108729, 109904, 113727, 24273, 71289, 108167, 125639, 24273, 109853, 1811, 41007, 105242, 109904, 102944, 32149, 106046, 107462, 79721, 29295, 114318, 111243, 108399, 9554, 16556, 105665, 29295, 102987, 16995, 102944, 16556, 5486, 121602, 50834, 79721, 111329, 13177, 118283, 39880, 122835, 30512, 104356, 20230, 37087, 33014, 112535, 78256, 254, 61994, 19732, 3624, 3481, 50, 123604, 29295, 67645, 103171, 102944, 32149, 53283, 30369, 105908, 106084, 79721, 1811, 16325, 72661, 102446, 108710, 15682, 123334, 76947, 64121, 100604, 19732, 13177, 78183, 124403, 105908, 91774, 107290, 22957, 100604, 66383, 95604, 105908, 78183, 107277, 110745, 104721, 53508, 231, 104195, 115717, 79721, 111329, 13177, 45829, 67645, 102944, 123120, 30512, 21105, 96, 107277, 91774, 30369, 27384, 102769, 30813, 30512, 48864, 102802, 79721, 111329, 13177, 3624, 3481, 50, 123604, 112197, 33334, 57980, 58426, 106592, 48864, 102802, 79721, 123601, 30512, 98499, 104004, 74090, 55038, 29295, 106084, 28713, 107188, 111329, 13177, 60882, 16, 13, 18, 16144, 863, 37656, 105184, 20230, 863, 863, 104611, 17701, 112586, 863, 20230, 22957, 36785, 78183, 30369, 10110, 73686, 42891, 32149, 117295, 7705, 24273, 16144, 37689, 91774, 126130, 104655, 50834, 39926, 5486, 60868, 109089, 16144, 111108, 21105, 243, 30512, 112391, 79721, 1811, 86127, 120950, 53283, 109375, 100604, 15120, 107707, 45829, 114447, 103378, 16144, 30046, 15682, 5486, 116900, 20230, 17663, 103171, 31431, 113954, 103082, 28713, 16144, 119627, 5486, 114363, 103722, 120332, 15682, 110924, 20230, 73686, 42891, 32149, 117295, 16144, 125651, 1811, 122521, 112919, 24273, 16144, 102131, 16995, 100472, 33334, 113727, 20230, 109835, 33121, 109115, 115789, 19361, 37689, 104577, 16556, 56051, 111329, 13177, 21980, 236, 11883, 34171, 16144, 126574, 15120, 118821, 20119, 254, 103214, 64121, 1811, 52118, 220, 77693, 30512, 32977, 19732, 20230, 45829, 67645, 102944, 101662, 43514, 71289, 116690, 112919, 122521, 30512, 68408, 126590, 109768, 105784, 1811, 102131, 95604, 3624, 3481, 50, 30512, 48864, 102802, 79721, 111329, 13177, 3624, 3481, 50, 16144, 107963, 31634, 124226, 118821, 108761, 103438, 16144, 44915, 5486, 103350, 124299, 16144, 111108, 21105, 243, 111329, 13177, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 107693, 34171, 109853, 15682, 37271, 17129, 72661, 37689, 109375, 107113, 59739, 123731, 109846, 5486, 40474, 91875, 104873, 64531, 109853, 16144, 103984, 28542, 15682, 37271, 18904, 85707, 107436, 53283, 30369, 105908, 103082, 38144, 114318, 111243, 17039, 121200, 16556, 56051, 111329, 13177, 112185, 112185, 15120, 59739, 15120, 118821, 112690, 29295, 111108, 106624, 5486, 17663, 11972, 104043, 17701, 76947, 22957, 103470, 38144, 22656, 30512, 98499, 64121, 104196, 21105, 103, 117758, 110284, 16556, 56051, 29295, 5486, 22649, 104611, 55031, 48864, 81219, 72342, 111243, 110706, 116898, 85791, 103171, 80195, 75267, 120332, 19732, 118953, 107610, 110276, 118733, 115515, 103296, 105994, 101983, 102518, 103984, 28542, 71289, 45829, 67645, 102944, 123120, 16144, 15017, 231, 58942, 24273, 30512, 15024, 106824, 124180, 16556, 109134, 100909, 112197, 110241, 85791, 30813, 29295, 78183, 102518, 1811, 103350, 104983, 20230, 16995, 85791, 103171, 80195, 75267, 120332, 19732, 50, 2599, 24540, 29295, 19732, 103468, 33503, 104712, 26854, 106046, 16995, 79721, 111329, 13177, 13177, 45829, 67645, 102944, 102404, 104067, 20230, 114146, 38144, 66383, 112844, 100909, 109853, 1811, 40474, 91875, 19732, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 102404, 104067, 109853, 5486, 105994, 29295, 78183, 32149, 107462, 104435, 102677, 105908, 78183, 107277, 79721, 1811, 104575, 102321, 75267, 77181, 51330, 103984, 28542, 30512, 125821, 125639, 100481, 47884, 109215, 107407, 106046, 16995, 79721, 111329, 13177, 3624, 3481, 50, 16144, 126067, 109904, 100909, 111329, 13177, 102756, 105048, 102895, 103830, 113245, 102446, 108710, 29295, 19732, 111243, 53508, 231, 104195, 115717, 79721, 1811, 22649, 105242, 32977, 27384, 30926, 36785, 15024, 5486, 103350, 104983, 116446, 64121, 106272, 102677, 123017, 117119, 18904, 32977, 39926, 64121, 100604, 19732, 78183, 124403, 26854, 106046, 16995, 79721, 111329, 13177, 37026, 119962, 111571, 117255, 126027, 122521, 41007, 112028, 59739, 103306, 48864, 104369, 105908, 106084, 28713, 111329, 13177, 39880, 64810, 22398, 73590, 111329, 13177, 25580, 18904, 17, 9953, 16144, 102473, 38093, 32977, 110284, 107726, 38144, 115962, 50834, 127359, 118331, 107908, 22656, 30512, 113954, 119607, 106046, 107462, 79721, 29295, 26854, 107188, 32149, 113954, 103082, 126386, 105494, 32977, 105693, 105879, 115515, 18904, 104398, 32149, 47884, 118283, 39880, 16144, 122382, 24273, 5486, 113727, 24273, 71289, 22649, 105242, 109853, 16144, 87177, 29295, 104655, 107441, 5486, 105994, 107809, 16556, 3624, 3481, 50, 16144, 113727, 24273, 20230, 36785, 16995, 104369, 60358, 109669, 107674, 102677, 104346, 20230, 91763, 61689, 111329, 13177, 37026, 119962, 111571, 30512, 108936, 109904, 102404, 104067, 16144, 110993, 79982, 26854, 83799, 102677, 19732, 33503, 58942, 24273, 15682, 5486, 23226, 107436, 78698, 105262, 125231, 44915, 16556, 56051, 118855, 5486, 9080, 119400, 16144, 116348, 18904, 107809, 16556, 33748, 17905, 16144, 102404, 104067, 111800, 112984, 77181, 21405, 72342, 100604, 106222, 34171, 71289, 78244, 102158, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 87177, 123410, 110018, 20230, 110482, 111108, 30813, 30512, 112391, 100481, 79721, 29295, 110371, 101772, 23951, 113245, 13177, 50, 2599, 10646, 15682, 39880, 64810, 22398, 73590, 125030, 111243, 107734, 121697, 110071, 48864, 102802, 16556, 56051, 1811, 46091, 118821, 108761, 103438, 19732, 38574, 106090, 15682, 9080, 40053, 16144, 121432, 20230, 92776, 15024, 64531, 22649, 108608, 102944, 16556, 57980, 16995, 103984, 28542, 30512, 48864, 103854, 28713, 106046, 61689, 111329, 13177, 127742, 16144, 108010, 30297, 104575, 113245, 103350, 124299, 30512, 106613, 111186, 54926, 16325, 16556, 5486, 67645, 103171, 44915, 30512, 48864, 104369, 32149, 19732, 112844, 100909, 126036, 5486, 67645, 119775, 122521, 15024, 106116, 82973, 5486, 9080, 104680, 5486, 59983, 59983, 59983, 30512, 16995, 111201, 105843, 103350, 107726, 5486, 13153, 101544, 102404, 104067, 16144, 100853, 100, 117282, 102944, 20230, 109768, 47884, 100909, 10110, 122582, 33334, 112197, 16144, 117255, 67645, 32977, 125030, 76947, 108901, 109020, 7705, 29295, 27384, 102769, 10110, 102131, 95604, 103984, 28542, 29295, 109215, 7705, 126529, 77181, 106046, 106358, 105879, 127359, 118331, 107908, 33208, 5486, 118220, 28542, 33208, 56051, 122521, 115717, 29295, 43514, 26854, 16325, 16556, 5486, 3624, 3481, 50, 16144, 108729, 109904, 113727, 24273, 15682, 78183, 107277, 126172, 102518, 104466, 112391, 79721, 111329, 13177, 16995, 85791, 16995, 85791, 48864, 81219, 72342, 100481, 90620, 50834, 79721, 1811, 11883, 102158, 5486, 75146, 17920, 236, 109904, 102832, 61398, 117282, 115981, 48864, 5486, 76739, 91482, 68408, 107446, 16144, 124629, 40526, 1811, 108729, 109904, 105494, 55031, 32335, 61826, 79982, 103296, 20251, 108337, 33710, 26854, 87177, 115991, 114318, 114598, 57980, 102518, 111329, 13177, 60868, 109089, 29295, 45829, 67645, 32977, 37087, 33014, 16144, 102404, 104067, 16144, 116414, 20230, 10110, 99849, 30512, 103359, 47523, 20230, 7705, 39880, 107420, 113335, 54926, 102944, 32149, 102677, 105908, 101860, 11972, 104043, 73686, 42891, 32149, 32149, 106358, 16144, 119627 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 109020, 103854, 47884, 105110, 105525, 107691, 54926, 16144, 30512, 82533, 109013, 24273, 29295, 103424, 117201, 109954, 1811, 128001, 128000, 2, 103067, 239, 105301, 16144, 115981, 48864, 198, 89408, 16144, 105140, 5486, 112418, 15682, 106786, 29295, 120111, 115717, 79721, 1811, 105301, 113487, 50834, 123410, 101200, 110276, 55031, 38641, 9174, 106786, 123470, 122539, 95221, 30512, 114392, 20230, 96412, 102189, 74090, 15682, 5486, 105301, 30512, 113487, 47884, 102052, 115924, 53901, 16144, 107507, 101198, 94550, 126529, 38641, 9174, 105301, 113487, 50834, 30512, 106307, 105784, 16325, 16556, 95221, 109669, 47884, 105908, 57903, 33541, 109900, 15682, 13177, 117430, 15682, 37026, 33503, 29295, 109431, 56051, 117501, 20230, 21990, 101662, 54926, 66383, 95604, 100909, 9174, 114181, 105085, 112990, 5486, 122202, 105301, 105352, 77693, 108422, 33121, 20230, 50928, 37689, 117408, 117501, 107407, 112973, 78183, 107277, 33541, 1811, 9080, 104364, 15024, 30512, 103809, 99, 104680, 10110, 98369, 98369, 7705, 19732, 101682, 76622, 104533, 107404, 5486, 117073, 40265, 28713, 110104, 110229, 5486, 106786, 105651, 16144, 127181, 110229, 5486, 102571, 102831, 20230, 125062, 103468, 110229, 5486, 110567, 16995, 74090, 5486, 115289, 33503, 121867, 74090, 16449, 16449, 198, 108064, 32977, 104662, 117864, 116245, 20230, 104662, 117864, 117430, 1811, 28713, 19732, 58942, 102831, 55031, 113487, 102532, 32977, 5486, 53900, 112361, 105933, 117501, 20230, 21990, 107290, 50834, 33541, 9174, 102677, 109335, 115847, 15682, 13177, 93488, 99959, 91062, 111769, 66383, 78244, 105262, 116497, 38641, 9174, 567, 63091, 61994, 98220, 16144, 25333, 108630, 15682, 13177, 109431, 30046, 21990, 25359, 111329, 116537, 109431, 56051, 117501, 30512, 37026, 33503, 102647, 103854, 30369, 198, 114652, 13177, 22324, 32149, 103468, 116245, 16556, 117176, 112495, 65316, 66383, 95604, 112690, 30512, 104655, 50834, 33541, 29295, 5486, 22324, 32149, 103468, 116245, 16556, 123726, 108618, 104028, 32149, 104405, 32149, 15682, 106116, 117430, 16144, 117501, 109431, 34171, 112212, 33541, 1811, 60868, 103672, 57933, 113883, 104091, 30512, 31809, 101701, 16144, 102717, 19732, 112586, 22324, 102532, 32977, 5486, 102185, 15682, 117176, 50834, 107515, 9174, 114516, 120885, 109683, 112028, 34048, 1811, 43568, 22649, 26854, 117501, 77181, 101662, 43514, 107515, 9174, 90620, 5486, 114516, 15682, 127177, 112027, 19732, 121953, 5486, 117501, 20230, 96356, 30512, 106644, 36785, 101832, 30369, 121142, 103470, 5486, 105994, 16556, 117501, 30512, 102647, 102802, 5486, 122270, 112909, 21601, 58942, 64531, 105262, 115789, 125545, 109900, 15682, 33710, 64178, 108010, 95543, 126194, 5486, 80195, 105647, 26854, 123726, 24273, 112028, 59739, 36785, 106046, 61689, 9174, 80539, 105994, 15682, 32977, 43514, 85791, 25827, 5486, 43511, 112919, 117501, 105352, 64209, 30512, 55487, 104028, 112973, 114516, 38641, 9174, 13177, 110074, 102639, 30369, 10646, 15682, 102750, 102472, 103906, 52884, 26854, 110315, 50834, 119627, 117119, 126036, 27384, 30926, 26854, 104468, 13177, 123726, 30369, 10646, 100909, 109900, 15682, 13177, 110074, 102639, 10646, 126194, 36896, 102647, 102802, 59712, 64531, 105262, 10646, 100909, 9174, 111098, 76622, 102204, 100604, 109249, 51609, 105110, 101682, 76622, 17701, 104028, 104195, 30813, 32977, 109215, 119627, 108048, 15682, 44971, 39880, 126465, 1811, 17129, 39926, 108048, 30512, 17792, 20230, 104195, 107991, 109335, 103082, 107515, 9174, 117501, 30512, 104721, 58942, 104533, 50834, 15682, 108048, 30512, 13177, 110074, 102639, 10646, 71289, 13177, 109972, 76622, 66383, 91763, 124059, 5486, 106786, 105651, 30512, 28713, 108005, 115, 31431, 96412, 102189, 74090, 29295, 5486, 105301, 113487, 50834, 30512, 119237, 117657, 104466, 5486, 103558, 97, 117714, 64209, 16556, 121906, 54926, 105994, 71289, 43511, 30046, 20230, 30177, 109768, 105898, 16995, 106046, 61689, 9174, 37026, 33503, 30512, 76706, 32149, 17663, 74090, 45826, 234, 29295, 30591, 76947, 15682, 100204, 107436, 5486, 118958, 15682, 121771, 17129, 102800, 102831, 30512, 105714, 31431, 33541, 9174, 108064, 32977, 101987, 64121, 57980, 16995, 32938, 102416, 9174, 17161, 5232, 31540, 116581, 104577, 118022, 107879, 113, 5232, 28713, 109669, 22957, 128001, 128000, 679, 20, 8107, 23, 9953, 23, 9080, 24, 9080, 5486, 108931, 104378, 102667, 16556, 64810, 101198, 118567, 117824, 16995, 79721, 1811, 18, 9953, 20230, 115933, 116581, 102687, 16556, 23039, 100472, 64810, 101198, 118567, 15682, 109519, 101662, 116690, 112919, 110284, 29295, 43240, 102518, 119627, 115515, 18904, 15682, 104575, 100927, 102351, 16144, 110284, 29295, 43240, 102518, 38641, 1811, 115933, 116581, 102687, 19732, 42016, 103826, 16144, 44915, 16556, 56051, 29295, 5486, 110284, 112919, 112073, 98369, 117758, 48154, 105284, 99397, 5486, 48154, 37689, 91774, 5486, 48154, 99750, 101067, 29295, 115933, 116581, 102687, 16144, 110018, 107118, 108901, 109020, 102944, 32977, 43240, 47884, 5486, 23226, 107436, 48864, 108710, 16144, 113841, 9554, 53229, 22649, 30512, 103350, 99750, 102334, 121256, 1811, 88852, 5486, 110284, 112919, 112073, 98369, 20230, 115962, 102334, 113164, 102663, 84477, 113702, 38641, 107751, 112919, 99750, 101067, 30512, 98499, 104004, 118733, 122270, 48864, 102802, 30512, 102987, 109013, 31431, 5486, 115364, 48864, 102802, 30512, 65854, 114181, 103984, 56051, 31431, 50021, 103359, 33208, 56051, 31431, 109768, 90620, 118145, 106046, 61689, 115397, 34048, 5486, 36668, 113497, 30046, 110366, 117758, 90178, 30512, 11144, 64780, 11199, 20230, 102181, 102532, 61689, 9174, 13177, 60868, 109089, 16144, 91774, 24273, 19732, 31809, 113173, 16144, 108167, 24273, 109853, 83747, 21105, 254, 76622, 78183, 102518, 116499, 121256, 111329, 13177, 3624, 3481, 50, 16144, 107624, 95001, 71289, 103984, 28542, 30512, 48864, 103854, 5486, 122678, 107918, 16144, 75267, 113245, 122521, 20230, 21990, 123772, 24273, 30512, 48864, 103854, 79721, 111329, 13177, 46034, 38574, 19732, 113173, 1811, 121432, 9554, 22398, 62903, 114615, 102404, 104067, 30512, 122521, 54926, 100909, 126636, 102769, 30813, 1811, 104405, 120837, 22398, 62903, 114615, 122635, 122416, 20230, 26130, 30832, 21105, 234, 43514, 103351, 105879, 111329, 13177, 3624, 3481, 50, 107118, 45829, 67645, 32977, 29295, 105755, 27327, 91875, 112535, 112415, 20230, 110284, 108608, 104466, 54926, 124122, 122521, 30512, 78698, 105262, 20119, 254, 103214, 64121, 103195, 111329, 13177, 103826, 104680, 26854, 80805, 102514, 113883, 118283, 39880, 122835, 111329, 13177, 3624, 3481, 50, 16144, 108729, 109904, 113727, 24273, 71289, 11883, 102158, 109853, 1811, 50, 2599, 24540, 16144, 122382, 24273, 59459, 67645, 33121, 103378, 96356, 107294, 102334, 32149, 15682, 103283, 119627, 1981, 7705, 111329, 13177, 85707, 107436, 110284, 103082, 5486, 57980, 102518, 38641, 1811, 1981, 80673, 117119, 30512, 48864, 102189, 33503, 104712, 104865, 123334, 112043, 31431, 31958, 105184, 77181, 104435, 105879, 115515, 123470, 105408, 24273, 16144, 28308, 241, 102404, 20230, 125494, 127145, 1811, 105994, 116907, 37656, 106624, 48864, 115694, 100604, 116499, 78434, 111329, 13177, 3624, 3481, 50, 109853, 5486, 105994, 29295, 22656, 30512, 98499, 104004, 121142, 103470, 5486, 23226, 107436, 87177, 30512, 104655, 32149, 72342, 100481, 90620, 102334, 109335, 48864, 102802, 115717, 79721, 1811, 50, 2599, 24540, 16144, 108167, 24273, 32977, 53508, 231, 104195, 115717, 79721, 111329, 13177, 3624, 3481, 50, 16144, 108729, 109904, 113727, 24273, 71289, 108167, 125639, 24273, 109853, 1811, 41007, 105242, 109904, 102944, 32149, 106046, 107462, 79721, 29295, 114318, 111243, 108399, 9554, 16556, 105665, 29295, 102987, 16995, 102944, 16556, 5486, 121602, 50834, 79721, 111329, 13177, 118283, 39880, 122835, 30512, 104356, 20230, 37087, 33014, 112535, 78256, 254, 61994, 19732, 3624, 3481, 50, 123604, 29295, 67645, 103171, 102944, 32149, 53283, 30369, 105908, 106084, 79721, 1811, 16325, 72661, 102446, 108710, 15682, 123334, 76947, 64121, 100604, 19732, 13177, 78183, 124403, 105908, 91774, 107290, 22957, 100604, 66383, 95604, 105908, 78183, 107277, 110745, 104721, 53508, 231, 104195, 115717, 79721, 111329, 13177, 45829, 67645, 102944, 123120, 30512, 21105, 96, 107277, 91774, 30369, 27384, 102769, 30813, 30512, 48864, 102802, 79721, 111329, 13177, 3624, 3481, 50, 123604, 112197, 33334, 57980, 58426, 106592, 48864, 102802, 79721, 123601, 30512, 98499, 104004, 74090, 55038, 29295, 106084, 28713, 107188, 111329, 13177, 60882, 16, 13, 18, 16144, 863, 37656, 105184, 20230, 863, 863, 104611, 17701, 112586, 863, 20230, 22957, 36785, 78183, 30369, 10110, 73686, 42891, 32149, 117295, 7705, 24273, 16144, 37689, 91774, 126130, 104655, 50834, 39926, 5486, 60868, 109089, 16144, 111108, 21105, 243, 30512, 112391, 79721, 1811, 86127, 120950, 53283, 109375, 100604, 15120, 107707, 45829, 114447, 103378, 16144, 30046, 15682, 5486, 116900, 20230, 17663, 103171, 31431, 113954, 103082, 28713, 16144, 119627, 5486, 114363, 103722, 120332, 15682, 110924, 20230, 73686, 42891, 32149, 117295, 16144, 125651, 1811, 122521, 112919, 24273, 16144, 102131, 16995, 100472, 33334, 113727, 20230, 109835, 33121, 109115, 115789, 19361, 37689, 104577, 16556, 56051, 111329, 13177, 21980, 236, 11883, 34171, 16144, 126574, 15120, 118821, 20119, 254, 103214, 64121, 1811, 52118, 220, 77693, 30512, 32977, 19732, 20230, 45829, 67645, 102944, 101662, 43514, 71289, 116690, 112919, 122521, 30512, 68408, 126590, 109768, 105784, 1811, 102131, 95604, 3624, 3481, 50, 30512, 48864, 102802, 79721, 111329, 13177, 3624, 3481, 50, 16144, 107963, 31634, 124226, 118821, 108761, 103438, 16144, 44915, 5486, 103350, 124299, 16144, 111108, 21105, 243, 111329, 13177, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 107693, 34171, 109853, 15682, 37271, 17129, 72661, 37689, 109375, 107113, 59739, 123731, 109846, 5486, 40474, 91875, 104873, 64531, 109853, 16144, 103984, 28542, 15682, 37271, 18904, 85707, 107436, 53283, 30369, 105908, 103082, 38144, 114318, 111243, 17039, 121200, 16556, 56051, 111329, 13177, 112185, 112185, 15120, 59739, 15120, 118821, 112690, 29295, 111108, 106624, 5486, 17663, 11972, 104043, 17701, 76947, 22957, 103470, 38144, 22656, 30512, 98499, 64121, 104196, 21105, 103, 117758, 110284, 16556, 56051, 29295, 5486, 22649, 104611, 55031, 48864, 81219, 72342, 111243, 110706, 116898, 85791, 103171, 80195, 75267, 120332, 19732, 118953, 107610, 110276, 118733, 115515, 103296, 105994, 101983, 102518, 103984, 28542, 71289, 45829, 67645, 102944, 123120, 16144, 15017, 231, 58942, 24273, 30512, 15024, 106824, 124180, 16556, 109134, 100909, 112197, 110241, 85791, 30813, 29295, 78183, 102518, 1811, 103350, 104983, 20230, 16995, 85791, 103171, 80195, 75267, 120332, 19732, 50, 2599, 24540, 29295, 19732, 103468, 33503, 104712, 26854, 106046, 16995, 79721, 111329, 13177, 13177, 45829, 67645, 102944, 102404, 104067, 20230, 114146, 38144, 66383, 112844, 100909, 109853, 1811, 40474, 91875, 19732, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 102404, 104067, 109853, 5486, 105994, 29295, 78183, 32149, 107462, 104435, 102677, 105908, 78183, 107277, 79721, 1811, 104575, 102321, 75267, 77181, 51330, 103984, 28542, 30512, 125821, 125639, 100481, 47884, 109215, 107407, 106046, 16995, 79721, 111329, 13177, 3624, 3481, 50, 16144, 126067, 109904, 100909, 111329, 13177, 102756, 105048, 102895, 103830, 113245, 102446, 108710, 29295, 19732, 111243, 53508, 231, 104195, 115717, 79721, 1811, 22649, 105242, 32977, 27384, 30926, 36785, 15024, 5486, 103350, 104983, 116446, 64121, 106272, 102677, 123017, 117119, 18904, 32977, 39926, 64121, 100604, 19732, 78183, 124403, 26854, 106046, 16995, 79721, 111329, 13177, 37026, 119962, 111571, 117255, 126027, 122521, 41007, 112028, 59739, 103306, 48864, 104369, 105908, 106084, 28713, 111329, 13177, 39880, 64810, 22398, 73590, 111329, 13177, 25580, 18904, 17, 9953, 16144, 102473, 38093, 32977, 110284, 107726, 38144, 115962, 50834, 127359, 118331, 107908, 22656, 30512, 113954, 119607, 106046, 107462, 79721, 29295, 26854, 107188, 32149, 113954, 103082, 126386, 105494, 32977, 105693, 105879, 115515, 18904, 104398, 32149, 47884, 118283, 39880, 16144, 122382, 24273, 5486, 113727, 24273, 71289, 22649, 105242, 109853, 16144, 87177, 29295, 104655, 107441, 5486, 105994, 107809, 16556, 3624, 3481, 50, 16144, 113727, 24273, 20230, 36785, 16995, 104369, 60358, 109669, 107674, 102677, 104346, 20230, 91763, 61689, 111329, 13177, 37026, 119962, 111571, 30512, 108936, 109904, 102404, 104067, 16144, 110993, 79982, 26854, 83799, 102677, 19732, 33503, 58942, 24273, 15682, 5486, 23226, 107436, 78698, 105262, 125231, 44915, 16556, 56051, 118855, 5486, 9080, 119400, 16144, 116348, 18904, 107809, 16556, 33748, 17905, 16144, 102404, 104067, 111800, 112984, 77181, 21405, 72342, 100604, 106222, 34171, 71289, 78244, 102158, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 87177, 123410, 110018, 20230, 110482, 111108, 30813, 30512, 112391, 100481, 79721, 29295, 110371, 101772, 23951, 113245, 13177, 50, 2599, 10646, 15682, 39880, 64810, 22398, 73590, 125030, 111243, 107734, 121697, 110071, 48864, 102802, 16556, 56051, 1811, 46091, 118821, 108761, 103438, 19732, 38574, 106090, 15682, 9080, 40053, 16144, 121432, 20230, 92776, 15024, 64531, 22649, 108608, 102944, 16556, 57980, 16995, 103984, 28542, 30512, 48864, 103854, 28713, 106046, 61689, 111329, 13177, 127742, 16144, 108010, 30297, 104575, 113245, 103350, 124299, 30512, 106613, 111186, 54926, 16325, 16556, 5486, 67645, 103171, 44915, 30512, 48864, 104369, 32149, 19732, 112844, 100909, 126036, 5486, 67645, 119775, 122521, 15024, 106116, 82973, 5486, 9080, 104680, 5486, 59983, 59983, 59983, 30512, 16995, 111201, 105843, 103350, 107726, 5486, 13153, 101544, 102404, 104067, 16144, 100853, 100, 117282, 102944, 20230, 109768, 47884, 100909, 10110, 122582, 33334, 112197, 16144, 117255, 67645, 32977, 125030, 76947, 108901, 109020, 7705, 29295, 27384, 102769, 10110, 102131, 95604, 103984, 28542, 29295, 109215, 7705, 126529, 77181, 106046, 106358, 105879, 127359, 118331, 107908, 33208, 5486, 118220, 28542, 33208, 56051, 122521, 115717, 29295, 43514, 26854, 16325, 16556, 5486, 3624, 3481, 50, 16144, 108729, 109904, 113727, 24273, 15682, 78183, 107277, 126172, 102518, 104466, 112391, 79721, 111329, 13177, 16995, 85791, 16995, 85791, 48864, 81219, 72342, 100481, 90620, 50834, 79721, 1811, 11883, 102158, 5486, 75146, 17920, 236, 109904, 102832, 61398, 117282, 115981, 48864, 5486, 76739, 91482, 68408, 107446, 16144, 124629, 40526, 1811, 108729, 109904, 105494, 55031, 32335, 61826, 79982, 103296, 20251, 108337, 33710, 26854, 87177, 115991, 114318, 114598, 57980, 102518, 111329, 13177, 60868, 109089, 29295, 45829, 67645, 32977, 37087, 33014, 16144, 102404, 104067, 16144, 116414, 20230, 10110, 99849, 30512, 103359, 47523, 20230, 7705, 39880, 107420, 113335, 54926, 102944, 32149, 102677, 105908, 101860, 11972, 104043, 73686, 42891, 32149, 32149, 106358, 16144, 119627 ]
[ 36896, 60868, 109089, 104023, 117032, 16144, 111681, 104482, 20230, 110284, 54926, 106592, 46456, 105262, 124122, 113727, 24273, 10646, 59739, 109709, 5486, 112415, 58426, 102944, 16144, 22656, 37507, 16144, 116700, 9458, 113173, 10110, 58426, 112415, 37026, 33014, 29295, 58426, 45829, 125030, 76947, 115552, 107407, 32149, 7705, 19732, 60868, 109089, 16144, 113173, 10110, 77693, 123410, 103846, 9458, 108167, 103214, 104004, 113009, 109215, 26854, 48634, 7705, 29295, 50211, 23039, 39926, 48706, 59983, 59983, 59983, 19732, 112844, 118331, 39880, 107446, 123253, 32149, 1811, 52118, 80539, 5486, 112415, 58426, 102944, 16144, 113404, 105352, 60868, 109089, 16144, 40474, 91875, 9458, 47260, 119263, 123160, 113173, 71289, 31634, 72238, 30512, 125639, 104526, 104004, 102677, 1811, 37656, 102800, 123120, 115376, 102677, 10110, 103350, 124299, 102677, 105755, 7705, 109519, 101662, 109904, 25197, 126989, 101983, 100204, 104004, 91774, 24273, 71289, 125174, 121423, 24273, 26854, 104865, 26854, 30591, 19732, 112844, 104371, 47523, 112130, 101832, 91006, 198, 13177, 45829, 67645, 102944, 39880, 64810, 22398, 73590, 5486, 91774, 24273, 109853, 50520, 111, 106624, 48864, 103854, 28713, 106046, 61689, 111329, 13177, 117382, 123213, 29295, 109898, 103646, 74245, 123470, 64810, 101198, 118567, 20230, 110284, 56051, 16144, 119627, 5486, 30926, 27452, 16144, 46239, 29295, 37087, 47884, 104435, 72342, 118544, 5486, 114652, 78183, 124403, 110674, 20230, 105721, 78183, 100472, 61304, 125534, 107407, 125939, 18904, 15682, 102446, 108710, 103296, 57903, 5486, 3624, 3481, 50, 16144, 107963, 31634, 19732, 39880, 64810, 22398, 73590, 25333, 29295, 114652, 78183, 107277, 79721, 111329, 13177, 3624, 3481, 50, 16144, 75146, 17920, 236, 109904, 44915, 111329, 13177, 48864, 108710, 16144, 50834, 42891, 126929, 111329, 13177, 3624, 3481, 50, 16144, 108729, 22649, 104611, 71289, 95001, 112603, 114181, 30512, 111602, 117735, 112919, 105408, 20230, 109467, 33334, 87177, 102800, 90620, 50834, 5486, 114652, 78183, 102518, 1811, 118283, 39880, 122835, 103350, 108710, 16556, 111831, 19732, 75146, 107253, 109853, 114652, 78183, 102518, 1811, 111831, 16144, 112690, 125030, 33503, 126832, 16144, 126194, 106116, 111831, 29295, 116414, 117083, 116421, 115552, 10110, 28713, 19732, 116285, 60882, 16144, 26854, 116421, 102944, 7705, 20230, 118013, 104196, 76947, 111831, 104088, 100481, 47884, 120266, 27384, 102769, 30813, 20230, 95221, 109669, 102334, 111329, 13177, 3624, 3481, 50, 16144, 118283, 39880, 122835, 111329, 13177, 3624, 3481, 50, 109853, 16144, 113727, 24273, 55031, 45829, 67645, 102944, 19732, 33503, 58942, 24273, 71289, 39880, 64810, 22398, 73590, 5486, 30832, 105888, 16144, 121697, 24273, 104309, 121453, 28713, 20230, 112415, 30512, 82420, 55723, 54926, 16144, 126194, 5486, 102321, 103397, 9458, 109683, 19732, 23039, 78183, 115032, 120266, 3624, 3481, 50, 16144, 113727, 24273, 30512, 103214, 64121, 104526, 104127, 16995, 47884, 105908, 27384, 102769, 118816, 78183, 107277, 79721, 111329, 13177, 3624, 3481, 50, 102494, 68408, 114615, 112844, 13177, 119046, 61633, 117503, 115552, 5486, 43511, 30046, 30512, 33035, 56051, 48864, 102802, 124226, 118821, 108044, 104067, 37689, 111629, 5486, 48864, 108710, 24273, 105838, 5486, 78244, 102158, 102404, 104067, 122692, 121568, 104364, 15682, 13177, 89046, 106307, 9554, 103195, 10646, 5486, 3624, 3481, 50, 15682, 76739, 16073, 105621, 25197, 76428, 73590, 30512, 46456, 105262, 113009, 101182, 5486, 50667, 125939, 103296, 114652, 104736, 109375, 9458, 113954, 109768, 104435, 30926, 113115, 39926, 102987, 109315, 105908, 121771, 98369, 57903, 79721, 111329, 13177, 45829, 67645, 102944, 78244, 102158, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 28190, 16144, 107624, 95001, 5486, 91774, 24273, 30512, 48864, 103854, 79721, 111329, 13177, 15120, 118821, 112690, 121960, 32977, 17792, 77693, 108422, 33121, 20230, 108167, 24273, 71289, 115552, 29295, 108010, 76947, 109749, 1811, 110924, 30512, 50834, 43514, 104043, 23187, 104577, 21105, 103, 16995, 121894, 16556, 87177, 123410, 109335, 102321, 75267, 72661, 43240, 47884, 30591, 76947, 5486, 106759, 19732, 115364, 56965, 16556, 112690, 16144, 115552, 30512, 55999, 19361, 54926, 106592, 15120, 59739, 15120, 59739, 104257, 121370, 20230, 109768, 107188, 118145, 105110, 100604, 106592, 48864, 102189, 111329, 13177, 50, 2599, 124905, 76947, 5486, 45829, 67645, 32977, 30512, 67645, 119775, 114181, 105085, 108608, 32149, 111329, 13177, 37026, 119962, 111571, 5486, 108502, 104698, 16144, 15017, 231, 58942, 32149, 28713, 109853, 111329, 13177, 39880, 107420, 113335, 19732, 39880, 107420, 113335, 116825, 26854, 104699, 124122, 45893, 77913, 103306, 15682, 57980, 16995, 106046, 105262, 29295, 5486, 102158, 11883, 105242, 71289, 78244, 102158, 48864, 110792, 101161, 249, 105635, 29295, 21990, 17129, 110615, 101200, 5486, 102321, 75267, 9554, 102052, 125821, 87844, 102800, 17161, 29295, 109215, 32149, 106046, 16995, 79721, 111329, 13177, 112599, 16144, 107430, 75267, 15682, 103826, 104680, 26854, 107430, 104091, 71289, 106613, 111186, 5486, 53283, 109375, 19732, 55999, 33035, 113954, 71289, 55999, 19361, 29295, 26854, 107188, 32149, 111108, 102800, 119627, 5486, 3624, 3481, 50, 16144, 39880, 64810, 22398, 73590, 30512, 38129, 54926, 118733, 5486, 45829, 67645, 32977, 126027, 19732, 33503, 58942, 24273, 30512, 55999, 19361, 15024, 126172, 16995, 106046, 16995, 79721, 1811, 110924, 55031, 30832, 105888, 30512, 121697, 28713, 74482, 15682, 108048, 108422, 33121, 16144, 53283, 109375, 71289, 106613, 111186, 5486, 114363, 103722, 34171, 32977, 21990, 123772, 126172, 117714, 111769, 32149, 19732, 112391, 79721, 111329, 13177, 9080, 40053, 107809, 20230, 30832, 105888, 30512, 103214, 64121, 104526, 104127, 16995, 47884, 100909, 1811, 40474, 91875, 104873, 64531, 123863, 100909, 111329, 13177, 118283, 39880, 122835, 54926, 104983, 16144, 103984, 28542, 111329, 13177, 50, 2599, 24540, 16144, 102208, 108526, 103202, 15682, 5486, 45829, 67645, 32977, 102159, 107707, 30832, 105888, 116700, 71289, 122521, 41007, 16144, 64467, 105888, 121711, 102131, 1811, 123120, 109519, 25333, 20230, 115598, 31431, 29295, 43514, 26854, 64467, 106839, 101427, 122, 70141, 117083, 42016, 59999, 248, 20230, 106222, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 27384, 102769, 30512, 108044, 105262, 108321, 101983, 104533, 78698, 105262, 111329, 13177, 126843, 102159, 103283, 16144, 64467, 106839, 82420, 55723, 5486, 37026, 80195, 112415, 16144, 30832, 105888, 116700, 16556, 19732, 31431, 16995, 106824, 64121, 30369, 104468, 11571, 102677, 33334, 87177, 15682, 123334, 76947, 64121, 101200, 102677, 95221, 115717, 79721, 10110, 77693, 105110, 106084, 30369, 59983, 59983, 59983, 32149, 32977, 114318, 7705, 111329, 13177, 39880, 64810, 22398, 73590, 16144, 103984, 28542, 1811, 19732, 47884, 20230, 40474, 91875, 104873, 64531, 102677, 103984, 28542, 15682, 37689, 109375, 109768, 105898, 16995, 38641, 111329, 13177, 66378, 20230, 39880, 64810, 22398, 73590, 109853, 5486, 45829, 67645, 32977, 105459, 30512, 39880, 64810, 22398, 73590, 54926, 109335, 43240, 47884, 30591, 114598, 5486, 105994, 126027, 95543, 66870, 54926, 46034, 38574, 29295, 30591, 109709, 104435, 1811, 95221, 109669, 50834, 20230, 47884, 16995, 105908, 43240, 102518, 105879, 5486, 126843, 15682, 110382, 55031, 21990, 32149, 109768, 105898, 16995, 106046, 76947, 61689, 111329, 13177, 91482, 68408, 90962, 30512, 125152, 76947, 50, 2599, 24540, 30512, 103350, 104983, 39926, 64121, 101200, 106046, 61689, 111329, 13177, 45829, 67645, 102944, 103350, 107328, 16144, 19732, 33503, 58942, 24273, 5486, 122521, 16144, 113727, 24273, 109853, 5486, 107461, 52414, 29295, 43240, 47884, 101182, 106046, 61689, 111329, 13177, 31809, 104575, 102416, 23039, 50834, 27704, 107436, 55031, 22398, 62903, 33710, 122060, 30512, 30358, 103984, 21105, 234, 43514, 16556, 56051, 29295, 5486, 104654, 16144, 53229, 28542, 105352, 67645, 114598, 104043, 104257, 121370, 20230, 45829, 67645, 32977, 20230, 114146, 38144, 97518, 78183, 107462, 105898, 16995, 106046, 58942, 79721, 111329, 13177, 39880, 64810, 22398, 73590, 71289, 122521, 16144, 112169, 34171, 16144, 111800, 118219, 20230, 21990, 32149, 56051, 16995, 111329, 13177, 40474, 91875, 104873, 64531, 109853, 111329, 13177, 39880, 64810, 22398, 73590, 16144, 102208, 111831, 29295, 58426, 110674, 122521, 44915, 117282, 105879, 115132, 64810, 22398, 73590, 103350, 102923, 16144, 126574, 102494, 78459, 102832, 38248, 115, 78205, 16073, 115717, 33541, 1811, 44915, 16144, 113954, 15682, 108038, 77181, 124897, 29295, 5486, 103856, 95399, 23018, 45829, 111363, 107624, 95001, 30512, 27704, 62004, 106956, 106046, 61689, 111329, 13177, 41920, 48864, 23538, 55031, 50, 2599, 24540, 30512, 19732, 30369, 105879, 106116, 107253, 104874, 29295, 21105, 96, 107277, 106084, 28713, 107188, 108861, 106046, 61689, 1811, 127164, 16144, 104575, 16144, 126362, 32977, 102433, 16144, 104575, 19732, 108010, 76947, 121846, 20230, 106084, 120550, 105908, 16995, 47884, 59739, 32149, 57903, 79721, 111329, 13177, 45829, 67645, 32977, 104088, 104533, 50834, 16144, 103984, 28542, 103306, 115132, 64810, 22398, 73590, 111831, 30512, 76706, 11883, 103082, 104533, 91763, 61689, 1811, 124180, 16556, 117271, 54926, 102677, 28542, 111329, 13177, 102321, 75267, 55031, 106627, 115032, 105879, 115515, 114225, 102052, 124897, 1811, 45163, 110782, 102052, 101182, 106046, 61689, 111329, 13177, 45829, 67645, 32977, 104088, 104533, 50834, 16144, 103984, 28542, 126636, 102769, 26854, 110229, 29295, 121771, 98369, 101182, 105879, 5486, 3624, 3481, 50, 16144, 53508, 231, 104195, 15682, 105465, 102800, 38641, 111329, 13177, 50, 2599, 24540, 30512, 103350, 102923, 54926, 110018, 5486, 102446, 108710, 16556, 71289, 100472, 106592, 21990, 32149, 109768, 107674, 33503, 106046, 61689, 111329, 13177, 112185, 78183, 107277, 107515, 1811, 39880, 64810, 22398, 73590, 29295, 27384, 104721, 102131, 111329, 13177, 37026, 119962, 111571, 116581, 19732, 15017, 231, 105262, 16144, 126194, 112160, 107707, 45829, 67645, 32977, 103306, 15017, 231, 105262, 103984, 28542, 111329, 13177, 117896, 110366, 29295, 107726, 101200, 117408, 120266, 16995, 112043, 104712, 124387, 101983, 121140, 36896, 113096, 103130, 9554, 64467, 106839, 39880, 107420, 113335, 117503, 113727, 24273, 16556, 13177, 37271, 45829, 67645, 32977, 29295, 61633, 30512, 124237, 103836, 102944, 20230, 103984, 101911, 30512, 70141, 105784, 59712, 45829, 67645, 102944, 123120, 16144, 37689, 111629, 30512, 104736, 109315, 10646, 111329, 13177, 109242, 9039, 75267, 28190, 16556, 91774, 30369, 100909, 126636, 102769, 30813, 1811, 106084, 30369, 106084, 100604, 121142, 91774, 101860, 20230, 5486, 45951, 121, 21990, 58942, 103306, 115847, 117758, 104622, 61826, 16144, 102404, 104067, 111681, 104482, 103306, 15017, 231, 105262, 111329, 13177, 33563, 101662, 104674, 10110, 37026, 61337, 16144, 103664, 6330, 104674, 7705, 30512, 17129, 116547, 5486, 33563, 101662, 101559, 19732, 116348, 18904, 50021, 111813, 30512, 127145, 105879, 5486, 17129, 30813, 20230, 9080, 40053, 16144, 112415, 20230, 39880, 107420, 113335, 15024, 116898, 111201, 110284, 30512, 113096, 17663, 32149, 102677, 110229, 15682, 5486, 122617, 29295, 76706, 32149, 122101, 103984, 28542, 16556, 56051, 1811, 109519, 101662, 72661, 104674, 110792, 89046, 120988, 30512, 10110, 37026, 61337, 32943, 26854, 105879, 7705, 27384, 30926, 116446, 61689, 1811, 118006, 32977, 96412, 107436, 113727, 100481, 105784, 106116, 75146, 117282, 113727, 24273, 30512, 48864, 103854, 79721, 111329, 13177, 40474, 91875, 104873, 64531, 16144, 108761, 103438, 16556, 102099, 104873, 64531, 121142, 103470, 50021, 106483, 104873, 64531, 102677, 103984, 28542, 16556, 30832, 105888, 116700, 54926, 100909, 109853, 15682, 115515, 74482, 113727, 100481, 47884, 103984, 28542, 20230, 56051, 16995, 106046, 16995, 79721, 111329, 13177, 91482, 68408, 90962, 16144, 76706, 11883, 38641, 1811, 123050, 30046, 103306, 46729, 16144, 103826, 45829, 30512, 125152, 58322, 39926, 122908, 39880, 109768, 105898, 16995, 38641, 111329, 13177, 39880, 64810, 22398, 73590, 111831, 16144, 113954, 38641, 1811, 111831, 104023, 30832, 105888, 36785, 106046, 107462, 104435, 38641, 1811, 114652, 114652, 113954, 39926, 5486, 123050, 30046, 55031, 104575, 102416, 55999, 19361, 109768, 105898, 16995, 106046, 61689, 1811, 106759, 103306, 117119, 30512, 30832, 105888, 20230, 17663, 125231, 32149, 46034, 121697, 29295, 37271, 103296, 104435, 105879, 111329, 13177, 23226, 107436, 5486, 45829, 67645, 32977, 29295, 102404, 22023, 103792, 110783, 104088, 59739, 107674, 31431, 54926, 50834, 42891, 126929, 102052, 26854, 104533, 114284, 79721, 59459, 91482, 68408, 90962, 104088, 38144, 107173, 20230, 112361, 100818, 116, 16556, 111800, 118219, 54926, 102677, 41007, 105242, 75376, 119046, 39926, 39880, 64810, 22398, 73590, 54926, 110018, 20230, 15120, 118821, 24273, 105838, 103306, 111329, 13177, 45829, 67645, 32977, 30512, 104257, 121370, 20230, 39880, 64810, 22398, 73590, 15024, 5486, 33671, 16144, 106826, 103830, 10110, 30832, 105888, 7705, 30512, 113727, 104533, 50834, 20230, 33655, 107462, 105898, 16995, 106046, 16995, 79721, 111329, 13177, 76706, 32149, 72342, 104533, 91763, 30297, 111329, 13177, 116581, 109421, 114447, 103984, 28542, 29295, 108285, 29295, 100472, 111329, 13177, 108270, 42634, 111769, 29295, 5486, 92776, 102052, 111108, 102800, 107751, 16144, 105408, 16144, 113954, 30512, 50928, 100604, 102083, 124324, 105879, 111329, 13177, 103350, 124299, 21105, 103, 29295, 33503, 15120, 114050, 113954, 103082, 127567, 106046, 61689, 111329, 13177, 45829, 67645, 102944, 103350, 107328, 102178, 111665, 19732, 122521, 16144, 121697, 24273, 1811, 72661, 5486, 113954, 19732, 103350, 102923, 20230, 82973, 29295, 109215, 109860, 62903, 32131, 102756, 44971, 102741, 65299, 111329, 13177, 39880, 64810, 22398, 73590, 111831, 58426, 102944, 29295, 30832, 105888, 108176, 102677, 118733, 116696, 48552, 39926, 64121, 101200, 106046, 16995, 79721, 118855, 115132, 64810, 22398, 73590, 111831, 55031, 102404, 104067, 16144, 45893, 119049, 32977, 59739, 32149, 109315, 107188, 106046, 16995, 79721, 111329, 13177, 17, 112959, 16144, 103350, 124299, 27452, 30512, 98499, 104127, 5486, 104622, 61826, 30832, 105888, 16144, 102647, 23187, 30512, 37271, 127637, 91774, 74245, 56051, 16995, 106046, 61689, 59459, 30832, 105888, 16144, 116974, 7705, 111329, 13177, 45829, 67645, 102944, 78244, 102158, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 107624, 95001, 5486, 91774, 24273, 30512, 48864, 103854, 28713, 1811, 102159, 105390, 102052, 19361, 11883, 16556, 56051, 29295, 5486, 103242, 109519, 36668, 33014, 16556, 103130, 109315, 104468, 111108, 102800, 123141, 107188, 106046, 61689, 111329, 13177, 39880, 64810, 22398, 73590, 16144, 103984, 28542, 103306, 117669, 116531, 1569, 108, 30512, 11883, 102532, 115226, 111329, 13177, 112415, 82420, 55723, 16144, 102446, 108710, 111329, 13177, 45829, 67645, 102944, 30832 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36896, 60868, 109089, 104023, 117032, 16144, 111681, 104482, 20230, 110284, 54926, 106592, 46456, 105262, 124122, 113727, 24273, 10646, 59739, 109709, 5486, 112415, 58426, 102944, 16144, 22656, 37507, 16144, 116700, 9458, 113173, 10110, 58426, 112415, 37026, 33014, 29295, 58426, 45829, 125030, 76947, 115552, 107407, 32149, 7705, 19732, 60868, 109089, 16144, 113173, 10110, 77693, 123410, 103846, 9458, 108167, 103214, 104004, 113009, 109215, 26854, 48634, 7705, 29295, 50211, 23039, 39926, 48706, 59983, 59983, 59983, 19732, 112844, 118331, 39880, 107446, 123253, 32149, 1811, 52118, 80539, 5486, 112415, 58426, 102944, 16144, 113404, 105352, 60868, 109089, 16144, 40474, 91875, 9458, 47260, 119263, 123160, 113173, 71289, 31634, 72238, 30512, 125639, 104526, 104004, 102677, 1811, 37656, 102800, 123120, 115376, 102677, 10110, 103350, 124299, 102677, 105755, 7705, 109519, 101662, 109904, 25197, 126989, 101983, 100204, 104004, 91774, 24273, 71289, 125174, 121423, 24273, 26854, 104865, 26854, 30591, 19732, 112844, 104371, 47523, 112130, 101832, 91006, 198, 13177, 45829, 67645, 102944, 39880, 64810, 22398, 73590, 5486, 91774, 24273, 109853, 50520, 111, 106624, 48864, 103854, 28713, 106046, 61689, 111329, 13177, 117382, 123213, 29295, 109898, 103646, 74245, 123470, 64810, 101198, 118567, 20230, 110284, 56051, 16144, 119627, 5486, 30926, 27452, 16144, 46239, 29295, 37087, 47884, 104435, 72342, 118544, 5486, 114652, 78183, 124403, 110674, 20230, 105721, 78183, 100472, 61304, 125534, 107407, 125939, 18904, 15682, 102446, 108710, 103296, 57903, 5486, 3624, 3481, 50, 16144, 107963, 31634, 19732, 39880, 64810, 22398, 73590, 25333, 29295, 114652, 78183, 107277, 79721, 111329, 13177, 3624, 3481, 50, 16144, 75146, 17920, 236, 109904, 44915, 111329, 13177, 48864, 108710, 16144, 50834, 42891, 126929, 111329, 13177, 3624, 3481, 50, 16144, 108729, 22649, 104611, 71289, 95001, 112603, 114181, 30512, 111602, 117735, 112919, 105408, 20230, 109467, 33334, 87177, 102800, 90620, 50834, 5486, 114652, 78183, 102518, 1811, 118283, 39880, 122835, 103350, 108710, 16556, 111831, 19732, 75146, 107253, 109853, 114652, 78183, 102518, 1811, 111831, 16144, 112690, 125030, 33503, 126832, 16144, 126194, 106116, 111831, 29295, 116414, 117083, 116421, 115552, 10110, 28713, 19732, 116285, 60882, 16144, 26854, 116421, 102944, 7705, 20230, 118013, 104196, 76947, 111831, 104088, 100481, 47884, 120266, 27384, 102769, 30813, 20230, 95221, 109669, 102334, 111329, 13177, 3624, 3481, 50, 16144, 118283, 39880, 122835, 111329, 13177, 3624, 3481, 50, 109853, 16144, 113727, 24273, 55031, 45829, 67645, 102944, 19732, 33503, 58942, 24273, 71289, 39880, 64810, 22398, 73590, 5486, 30832, 105888, 16144, 121697, 24273, 104309, 121453, 28713, 20230, 112415, 30512, 82420, 55723, 54926, 16144, 126194, 5486, 102321, 103397, 9458, 109683, 19732, 23039, 78183, 115032, 120266, 3624, 3481, 50, 16144, 113727, 24273, 30512, 103214, 64121, 104526, 104127, 16995, 47884, 105908, 27384, 102769, 118816, 78183, 107277, 79721, 111329, 13177, 3624, 3481, 50, 102494, 68408, 114615, 112844, 13177, 119046, 61633, 117503, 115552, 5486, 43511, 30046, 30512, 33035, 56051, 48864, 102802, 124226, 118821, 108044, 104067, 37689, 111629, 5486, 48864, 108710, 24273, 105838, 5486, 78244, 102158, 102404, 104067, 122692, 121568, 104364, 15682, 13177, 89046, 106307, 9554, 103195, 10646, 5486, 3624, 3481, 50, 15682, 76739, 16073, 105621, 25197, 76428, 73590, 30512, 46456, 105262, 113009, 101182, 5486, 50667, 125939, 103296, 114652, 104736, 109375, 9458, 113954, 109768, 104435, 30926, 113115, 39926, 102987, 109315, 105908, 121771, 98369, 57903, 79721, 111329, 13177, 45829, 67645, 102944, 78244, 102158, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 28190, 16144, 107624, 95001, 5486, 91774, 24273, 30512, 48864, 103854, 79721, 111329, 13177, 15120, 118821, 112690, 121960, 32977, 17792, 77693, 108422, 33121, 20230, 108167, 24273, 71289, 115552, 29295, 108010, 76947, 109749, 1811, 110924, 30512, 50834, 43514, 104043, 23187, 104577, 21105, 103, 16995, 121894, 16556, 87177, 123410, 109335, 102321, 75267, 72661, 43240, 47884, 30591, 76947, 5486, 106759, 19732, 115364, 56965, 16556, 112690, 16144, 115552, 30512, 55999, 19361, 54926, 106592, 15120, 59739, 15120, 59739, 104257, 121370, 20230, 109768, 107188, 118145, 105110, 100604, 106592, 48864, 102189, 111329, 13177, 50, 2599, 124905, 76947, 5486, 45829, 67645, 32977, 30512, 67645, 119775, 114181, 105085, 108608, 32149, 111329, 13177, 37026, 119962, 111571, 5486, 108502, 104698, 16144, 15017, 231, 58942, 32149, 28713, 109853, 111329, 13177, 39880, 107420, 113335, 19732, 39880, 107420, 113335, 116825, 26854, 104699, 124122, 45893, 77913, 103306, 15682, 57980, 16995, 106046, 105262, 29295, 5486, 102158, 11883, 105242, 71289, 78244, 102158, 48864, 110792, 101161, 249, 105635, 29295, 21990, 17129, 110615, 101200, 5486, 102321, 75267, 9554, 102052, 125821, 87844, 102800, 17161, 29295, 109215, 32149, 106046, 16995, 79721, 111329, 13177, 112599, 16144, 107430, 75267, 15682, 103826, 104680, 26854, 107430, 104091, 71289, 106613, 111186, 5486, 53283, 109375, 19732, 55999, 33035, 113954, 71289, 55999, 19361, 29295, 26854, 107188, 32149, 111108, 102800, 119627, 5486, 3624, 3481, 50, 16144, 39880, 64810, 22398, 73590, 30512, 38129, 54926, 118733, 5486, 45829, 67645, 32977, 126027, 19732, 33503, 58942, 24273, 30512, 55999, 19361, 15024, 126172, 16995, 106046, 16995, 79721, 1811, 110924, 55031, 30832, 105888, 30512, 121697, 28713, 74482, 15682, 108048, 108422, 33121, 16144, 53283, 109375, 71289, 106613, 111186, 5486, 114363, 103722, 34171, 32977, 21990, 123772, 126172, 117714, 111769, 32149, 19732, 112391, 79721, 111329, 13177, 9080, 40053, 107809, 20230, 30832, 105888, 30512, 103214, 64121, 104526, 104127, 16995, 47884, 100909, 1811, 40474, 91875, 104873, 64531, 123863, 100909, 111329, 13177, 118283, 39880, 122835, 54926, 104983, 16144, 103984, 28542, 111329, 13177, 50, 2599, 24540, 16144, 102208, 108526, 103202, 15682, 5486, 45829, 67645, 32977, 102159, 107707, 30832, 105888, 116700, 71289, 122521, 41007, 16144, 64467, 105888, 121711, 102131, 1811, 123120, 109519, 25333, 20230, 115598, 31431, 29295, 43514, 26854, 64467, 106839, 101427, 122, 70141, 117083, 42016, 59999, 248, 20230, 106222, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 27384, 102769, 30512, 108044, 105262, 108321, 101983, 104533, 78698, 105262, 111329, 13177, 126843, 102159, 103283, 16144, 64467, 106839, 82420, 55723, 5486, 37026, 80195, 112415, 16144, 30832, 105888, 116700, 16556, 19732, 31431, 16995, 106824, 64121, 30369, 104468, 11571, 102677, 33334, 87177, 15682, 123334, 76947, 64121, 101200, 102677, 95221, 115717, 79721, 10110, 77693, 105110, 106084, 30369, 59983, 59983, 59983, 32149, 32977, 114318, 7705, 111329, 13177, 39880, 64810, 22398, 73590, 16144, 103984, 28542, 1811, 19732, 47884, 20230, 40474, 91875, 104873, 64531, 102677, 103984, 28542, 15682, 37689, 109375, 109768, 105898, 16995, 38641, 111329, 13177, 66378, 20230, 39880, 64810, 22398, 73590, 109853, 5486, 45829, 67645, 32977, 105459, 30512, 39880, 64810, 22398, 73590, 54926, 109335, 43240, 47884, 30591, 114598, 5486, 105994, 126027, 95543, 66870, 54926, 46034, 38574, 29295, 30591, 109709, 104435, 1811, 95221, 109669, 50834, 20230, 47884, 16995, 105908, 43240, 102518, 105879, 5486, 126843, 15682, 110382, 55031, 21990, 32149, 109768, 105898, 16995, 106046, 76947, 61689, 111329, 13177, 91482, 68408, 90962, 30512, 125152, 76947, 50, 2599, 24540, 30512, 103350, 104983, 39926, 64121, 101200, 106046, 61689, 111329, 13177, 45829, 67645, 102944, 103350, 107328, 16144, 19732, 33503, 58942, 24273, 5486, 122521, 16144, 113727, 24273, 109853, 5486, 107461, 52414, 29295, 43240, 47884, 101182, 106046, 61689, 111329, 13177, 31809, 104575, 102416, 23039, 50834, 27704, 107436, 55031, 22398, 62903, 33710, 122060, 30512, 30358, 103984, 21105, 234, 43514, 16556, 56051, 29295, 5486, 104654, 16144, 53229, 28542, 105352, 67645, 114598, 104043, 104257, 121370, 20230, 45829, 67645, 32977, 20230, 114146, 38144, 97518, 78183, 107462, 105898, 16995, 106046, 58942, 79721, 111329, 13177, 39880, 64810, 22398, 73590, 71289, 122521, 16144, 112169, 34171, 16144, 111800, 118219, 20230, 21990, 32149, 56051, 16995, 111329, 13177, 40474, 91875, 104873, 64531, 109853, 111329, 13177, 39880, 64810, 22398, 73590, 16144, 102208, 111831, 29295, 58426, 110674, 122521, 44915, 117282, 105879, 115132, 64810, 22398, 73590, 103350, 102923, 16144, 126574, 102494, 78459, 102832, 38248, 115, 78205, 16073, 115717, 33541, 1811, 44915, 16144, 113954, 15682, 108038, 77181, 124897, 29295, 5486, 103856, 95399, 23018, 45829, 111363, 107624, 95001, 30512, 27704, 62004, 106956, 106046, 61689, 111329, 13177, 41920, 48864, 23538, 55031, 50, 2599, 24540, 30512, 19732, 30369, 105879, 106116, 107253, 104874, 29295, 21105, 96, 107277, 106084, 28713, 107188, 108861, 106046, 61689, 1811, 127164, 16144, 104575, 16144, 126362, 32977, 102433, 16144, 104575, 19732, 108010, 76947, 121846, 20230, 106084, 120550, 105908, 16995, 47884, 59739, 32149, 57903, 79721, 111329, 13177, 45829, 67645, 32977, 104088, 104533, 50834, 16144, 103984, 28542, 103306, 115132, 64810, 22398, 73590, 111831, 30512, 76706, 11883, 103082, 104533, 91763, 61689, 1811, 124180, 16556, 117271, 54926, 102677, 28542, 111329, 13177, 102321, 75267, 55031, 106627, 115032, 105879, 115515, 114225, 102052, 124897, 1811, 45163, 110782, 102052, 101182, 106046, 61689, 111329, 13177, 45829, 67645, 32977, 104088, 104533, 50834, 16144, 103984, 28542, 126636, 102769, 26854, 110229, 29295, 121771, 98369, 101182, 105879, 5486, 3624, 3481, 50, 16144, 53508, 231, 104195, 15682, 105465, 102800, 38641, 111329, 13177, 50, 2599, 24540, 30512, 103350, 102923, 54926, 110018, 5486, 102446, 108710, 16556, 71289, 100472, 106592, 21990, 32149, 109768, 107674, 33503, 106046, 61689, 111329, 13177, 112185, 78183, 107277, 107515, 1811, 39880, 64810, 22398, 73590, 29295, 27384, 104721, 102131, 111329, 13177, 37026, 119962, 111571, 116581, 19732, 15017, 231, 105262, 16144, 126194, 112160, 107707, 45829, 67645, 32977, 103306, 15017, 231, 105262, 103984, 28542, 111329, 13177, 117896, 110366, 29295, 107726, 101200, 117408, 120266, 16995, 112043, 104712, 124387, 101983, 121140, 36896, 113096, 103130, 9554, 64467, 106839, 39880, 107420, 113335, 117503, 113727, 24273, 16556, 13177, 37271, 45829, 67645, 32977, 29295, 61633, 30512, 124237, 103836, 102944, 20230, 103984, 101911, 30512, 70141, 105784, 59712, 45829, 67645, 102944, 123120, 16144, 37689, 111629, 30512, 104736, 109315, 10646, 111329, 13177, 109242, 9039, 75267, 28190, 16556, 91774, 30369, 100909, 126636, 102769, 30813, 1811, 106084, 30369, 106084, 100604, 121142, 91774, 101860, 20230, 5486, 45951, 121, 21990, 58942, 103306, 115847, 117758, 104622, 61826, 16144, 102404, 104067, 111681, 104482, 103306, 15017, 231, 105262, 111329, 13177, 33563, 101662, 104674, 10110, 37026, 61337, 16144, 103664, 6330, 104674, 7705, 30512, 17129, 116547, 5486, 33563, 101662, 101559, 19732, 116348, 18904, 50021, 111813, 30512, 127145, 105879, 5486, 17129, 30813, 20230, 9080, 40053, 16144, 112415, 20230, 39880, 107420, 113335, 15024, 116898, 111201, 110284, 30512, 113096, 17663, 32149, 102677, 110229, 15682, 5486, 122617, 29295, 76706, 32149, 122101, 103984, 28542, 16556, 56051, 1811, 109519, 101662, 72661, 104674, 110792, 89046, 120988, 30512, 10110, 37026, 61337, 32943, 26854, 105879, 7705, 27384, 30926, 116446, 61689, 1811, 118006, 32977, 96412, 107436, 113727, 100481, 105784, 106116, 75146, 117282, 113727, 24273, 30512, 48864, 103854, 79721, 111329, 13177, 40474, 91875, 104873, 64531, 16144, 108761, 103438, 16556, 102099, 104873, 64531, 121142, 103470, 50021, 106483, 104873, 64531, 102677, 103984, 28542, 16556, 30832, 105888, 116700, 54926, 100909, 109853, 15682, 115515, 74482, 113727, 100481, 47884, 103984, 28542, 20230, 56051, 16995, 106046, 16995, 79721, 111329, 13177, 91482, 68408, 90962, 16144, 76706, 11883, 38641, 1811, 123050, 30046, 103306, 46729, 16144, 103826, 45829, 30512, 125152, 58322, 39926, 122908, 39880, 109768, 105898, 16995, 38641, 111329, 13177, 39880, 64810, 22398, 73590, 111831, 16144, 113954, 38641, 1811, 111831, 104023, 30832, 105888, 36785, 106046, 107462, 104435, 38641, 1811, 114652, 114652, 113954, 39926, 5486, 123050, 30046, 55031, 104575, 102416, 55999, 19361, 109768, 105898, 16995, 106046, 61689, 1811, 106759, 103306, 117119, 30512, 30832, 105888, 20230, 17663, 125231, 32149, 46034, 121697, 29295, 37271, 103296, 104435, 105879, 111329, 13177, 23226, 107436, 5486, 45829, 67645, 32977, 29295, 102404, 22023, 103792, 110783, 104088, 59739, 107674, 31431, 54926, 50834, 42891, 126929, 102052, 26854, 104533, 114284, 79721, 59459, 91482, 68408, 90962, 104088, 38144, 107173, 20230, 112361, 100818, 116, 16556, 111800, 118219, 54926, 102677, 41007, 105242, 75376, 119046, 39926, 39880, 64810, 22398, 73590, 54926, 110018, 20230, 15120, 118821, 24273, 105838, 103306, 111329, 13177, 45829, 67645, 32977, 30512, 104257, 121370, 20230, 39880, 64810, 22398, 73590, 15024, 5486, 33671, 16144, 106826, 103830, 10110, 30832, 105888, 7705, 30512, 113727, 104533, 50834, 20230, 33655, 107462, 105898, 16995, 106046, 16995, 79721, 111329, 13177, 76706, 32149, 72342, 104533, 91763, 30297, 111329, 13177, 116581, 109421, 114447, 103984, 28542, 29295, 108285, 29295, 100472, 111329, 13177, 108270, 42634, 111769, 29295, 5486, 92776, 102052, 111108, 102800, 107751, 16144, 105408, 16144, 113954, 30512, 50928, 100604, 102083, 124324, 105879, 111329, 13177, 103350, 124299, 21105, 103, 29295, 33503, 15120, 114050, 113954, 103082, 127567, 106046, 61689, 111329, 13177, 45829, 67645, 102944, 103350, 107328, 102178, 111665, 19732, 122521, 16144, 121697, 24273, 1811, 72661, 5486, 113954, 19732, 103350, 102923, 20230, 82973, 29295, 109215, 109860, 62903, 32131, 102756, 44971, 102741, 65299, 111329, 13177, 39880, 64810, 22398, 73590, 111831, 58426, 102944, 29295, 30832, 105888, 108176, 102677, 118733, 116696, 48552, 39926, 64121, 101200, 106046, 16995, 79721, 118855, 115132, 64810, 22398, 73590, 111831, 55031, 102404, 104067, 16144, 45893, 119049, 32977, 59739, 32149, 109315, 107188, 106046, 16995, 79721, 111329, 13177, 17, 112959, 16144, 103350, 124299, 27452, 30512, 98499, 104127, 5486, 104622, 61826, 30832, 105888, 16144, 102647, 23187, 30512, 37271, 127637, 91774, 74245, 56051, 16995, 106046, 61689, 59459, 30832, 105888, 16144, 116974, 7705, 111329, 13177, 45829, 67645, 102944, 78244, 102158, 5486, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 107624, 95001, 5486, 91774, 24273, 30512, 48864, 103854, 28713, 1811, 102159, 105390, 102052, 19361, 11883, 16556, 56051, 29295, 5486, 103242, 109519, 36668, 33014, 16556, 103130, 109315, 104468, 111108, 102800, 123141, 107188, 106046, 61689, 111329, 13177, 39880, 64810, 22398, 73590, 16144, 103984, 28542, 103306, 117669, 116531, 1569, 108, 30512, 11883, 102532, 115226, 111329, 13177, 112415, 82420, 55723, 16144, 102446, 108710, 111329, 13177, 45829, 67645, 102944, 30832 ]
[ 105888, 12, 80805, 84477, 96452, 115247, 30832, 105888, 16144, 116700, 1981, 125174, 106627, 39926, 113727, 102204, 100604, 105879, 111329, 13177, 103350, 104983, 20230, 127177, 107430, 102351, 111363, 108044, 107800, 32149, 28713, 71289, 5486, 123050, 30046, 110792, 55999, 19361, 104309, 5486, 118789, 109904, 107740, 27452, 104309, 32977, 104655, 102532, 64121, 28713, 102518, 38641, 111329, 13177, 60868, 109089, 123604, 30512, 103792, 103350, 124299, 27452, 1811, 102433, 121960, 67645, 119775, 124180, 30512, 103214, 104127, 103130, 62004, 100934, 32149, 111329, 13177, 122521, 111831, 117758, 118789, 109904, 103350, 124299, 27452, 111329, 13177, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 102404, 104067, 38574, 106090, 19732, 102404, 104067, 30512, 113096, 17663, 122521, 41007, 111329, 13177, 16995, 85791, 16995, 85791, 26854, 126465, 30512, 53283, 31431, 5486, 107740, 71289, 106839, 17701, 16144, 106548, 24273, 109853, 111329, 13177, 3624, 3481, 50, 16144, 118789, 9554, 103350, 124299, 27452, 109853, 125821, 53283, 31431, 106956, 38641, 111329, 13177, 86127, 30926, 119627, 5486, 112185, 111831, 30512, 113954, 109768, 100604, 105879, 5486, 111831, 113954, 30512, 109768, 47884, 109215, 30512, 112391, 79721, 111329, 13177, 3624, 3481, 50, 16144, 122401, 16144, 124858, 16556, 43032, 103854, 102204, 101732, 45, 7532, 16144, 103826, 104680, 26854, 102971, 105242, 1811, 115143, 104043, 43032, 103854, 102204, 100481, 79721, 29295, 112160, 59739, 15120, 59739, 100204, 121710, 31431, 78698, 107290, 115226, 111329, 13177, 113841, 25287, 122521, 109853, 111329, 13177, 40474, 91875, 104873, 64531, 16144, 30926, 27452, 30512, 125821, 43240, 47884, 53283, 31431, 106956, 106046, 61689, 111329, 13177, 104622, 61826, 30832, 105888, 16144, 102647, 23187, 29295, 71289, 15682, 31431, 111108, 67016, 100472, 105879, 5486, 108031, 114715, 48864, 102802, 106956, 111329, 13177, 118283, 39880, 122835, 30512, 39926, 64121, 79721, 29295, 5486, 22649, 105242, 29295, 112185, 114652, 78183, 32149, 107462, 100604, 113009, 5486, 122225, 16144, 109440, 100472, 110229, 115991, 79721, 1811, 22649, 105242, 30512, 105994, 16556, 17129, 26854, 102802, 126738, 39926, 88356, 27479, 114099, 102669, 56051, 16995, 106046, 61689, 111329, 13177, 40474, 91875, 104873, 64531, 109853, 5486, 125821, 118789, 112535, 48864, 102802, 106956, 38641, 111329, 13177, 53, 2434, 104088, 106272, 118283, 39880, 30512, 18655, 30369, 104468, 19732, 111243, 53508, 231, 104195, 115717, 79721, 1811, 100927, 58942, 100481, 90620, 105784, 24273, 119279, 124195, 115541, 108710, 108608, 101513, 38093, 29295, 30591, 104984, 85777, 106956, 38641, 111329, 13177, 91482, 68408, 90962, 91774, 38144, 102446, 108710, 15024, 5486, 9080, 40053, 20230, 21980, 236, 33208, 108608, 104466, 102446, 108710, 30512, 33035, 39926, 48864, 102802, 106956, 111329, 13177, 39880, 64810, 22398, 73590, 16144, 123470, 108167, 103214, 64121, 24273, 107751, 16144, 39880, 107420, 113335, 25333, 30512, 53283, 33503, 103470, 111243, 108608, 105879, 109954, 32149, 1811, 28713, 19732, 116285, 123218, 124905, 76947, 16144, 103984, 112854, 122521, 104309, 5486, 1777, 6546, 104309, 53283, 33503, 103470, 111243, 3624, 3481, 50, 16144, 39880, 107420, 113335, 25333, 116771, 16556, 106084, 30369, 105879, 109954, 32149, 1811, 99849, 19732, 103470, 5486, 102971, 91077, 5486, 127177, 39880, 107420, 113335, 25333, 32977, 53508, 231, 104195, 56051, 31431, 108167, 17701, 103468, 31431, 21105, 103, 47884, 104702, 16995, 124324, 25827, 110034, 16144, 91006, 102677, 116499, 127145, 111329, 52118, 11144, 64780, 127177, 39880, 107420, 113335, 30512, 53283, 33503, 103470, 111243, 3624, 3481, 50, 16144, 113841, 25287, 122521, 30512, 103350, 102923, 54926, 103378, 72661, 115552, 115991, 33541, 119520, 5486, 113841, 25287, 122521, 30512, 105755, 118789, 33208, 56051, 31431, 5486, 32335, 109431, 33208, 56051, 31431, 54926, 104983, 20230, 127177, 39880, 107420, 113335, 32977, 32977, 43514, 85791, 25827, 121846, 115717, 33541, 1811, 124180, 20230, 103826, 104680, 26854, 39880, 107420, 113335, 20230, 102097, 33035, 103792, 105335, 26269, 52591, 29295, 27929, 85791, 107462, 104984, 77693, 103378, 32335, 109431, 26854, 122521, 30512, 103350, 102923, 108608, 125396, 29295, 45736, 109709, 33541, 112479, 13177, 3624, 3481, 50, 16144, 22649, 104611, 15682, 19732, 111243, 55999, 99750, 78434, 29295, 5486, 28713, 19732, 116285, 113096, 103130, 9554, 64467, 106839, 39880, 107420, 113335, 29295, 108608, 17792, 103234, 30512, 101662, 125655, 103296, 125030, 111243, 82973, 29295, 32149, 32149, 104533, 91763, 61689, 1811, 64467, 20379, 9554, 64467, 106839, 39880, 107420, 113335, 15682, 41642, 116310, 20230, 113954, 120837, 110706, 126172, 16995, 118855, 105994, 29295, 50, 2599, 124905, 105262, 101200, 108176, 17129, 72661, 26854, 107188, 32149, 103984, 28542, 20230, 101557, 96, 104028, 103296, 32149, 117295, 16144, 77181, 106046, 61689, 1811, 17792, 103234, 101662, 13153, 16144, 110229, 5486, 105994, 32977, 96412, 107436, 123334, 107462, 90620, 118145, 106046, 61689, 111329, 13177, 31809, 30832, 105888, 30512, 116700, 54926, 118733, 16995, 111201, 58426, 30832, 105888, 30512, 29220, 104612, 54926, 102677, 103984, 28542, 20230, 14309, 98, 31431, 126172, 47884, 109020, 16144, 30512, 16995, 111201, 112415, 16144, 105843, 103350, 19732, 58426, 122521, 30512, 102832, 61398, 20230, 109768, 105784, 104466, 54926, 71289, 31431, 24273, 104309, 30591, 104984, 104655, 102532, 115226, 106046, 16995, 79721, 1811, 50, 2599, 6354, 372, 30512, 30832, 105888, 116700, 20230, 21990, 32149, 17663, 10110, 106826, 103830, 60596, 52118, 106826, 103830, 66224, 16144, 60634, 23039, 7705, 110229, 30512, 108031, 114715, 118789, 112535, 53283, 31431, 106956, 106046, 16995, 79721, 111329, 13177, 113841, 25287, 122521, 111329, 13177, 39880, 64810, 22398, 73590, 111831, 112028, 59739, 15120, 59739, 1811, 103826, 104680, 26854, 114363, 103722, 46729, 16144, 46034, 16556, 118368, 50834, 109415, 109115, 111831, 36785, 106046, 61689, 29295, 5486, 30832, 105888, 117408, 20230, 40265, 28713, 76947, 124563, 112371, 71289, 100472, 118881, 29295, 104712, 104865, 5486, 102831, 26955, 254, 30512, 53283, 100472, 17905, 16556, 108446, 50928, 39926, 108167, 103214, 115226, 111329, 13177, 104575, 110904, 25129, 16556, 103470, 111243, 5486, 117409, 16144, 104575, 16556, 108167, 103214, 17129, 115032, 103350, 124299, 27452, 30512, 100927, 58942, 100481, 90620, 105784, 78699, 33121, 102800, 38641, 111329, 13177, 123011, 62004, 111831, 16144, 13177, 125098, 99750, 10646, 104309, 15682, 19732, 111243, 75694, 59739, 26854, 112391, 29295, 39926, 103801, 16995, 79721, 111329, 13177, 30177, 15024, 24273, 120332, 111329, 13177, 113841, 25287, 122521, 16144, 13177, 113841, 10646, 59739, 102532, 111329, 13177, 40474, 91875, 104873, 64531, 109853, 125821, 48864, 103854, 104533, 91763, 106358, 29295, 5486, 114715, 121953, 79721, 1811, 15017, 231, 58942, 32149, 28713, 15682, 104712, 29295, 5486, 118789, 109904, 122521, 119703, 19732, 111329, 13177, 39880, 64810, 22398, 73590, 55031, 45829, 67645, 102944, 13153, 101544, 104088, 38144, 5486, 103350, 104983, 20230, 30832, 105888, 30512, 121697, 38144, 97518, 78183, 76947, 115226, 106046, 16995, 79721, 111329, 13177, 52591, 117243, 121894, 30512, 106839, 47884, 103350, 124299, 27452, 5486, 96452, 32131, 103906, 52884, 111329, 13177, 3624, 3481, 50, 102494, 68408, 114615, 22649, 105242, 5486, 107624, 95001, 110261, 27479, 16144, 116718, 10110, 15120, 59739, 15120, 118821, 111831, 7705, 109853, 108031, 114715, 19012, 246, 31431, 17297, 102639, 38144, 48864, 104127, 16995, 105898, 16995, 106046, 16995, 79721, 111329, 13177, 75146, 17920, 236, 109904, 106592, 108031, 83747, 21105, 246, 121710, 31431, 48864, 103854, 127567, 106046, 61689, 1811, 3624, 3481, 50, 16144, 22649, 105242, 124858, 104856, 103836, 100909, 104309, 32977, 100204, 121710, 111842, 106084, 104984, 106046, 61689, 111329, 13177, 60868, 109089, 16144, 37087, 33014, 66201, 30512, 50520, 111, 106624, 53283, 31431, 106956, 1811, 107624, 95001, 111831, 15120, 59739, 15120, 118821, 50338, 13393, 230, 16144, 106548, 24273, 30512, 53283, 31431, 106956, 111329, 13177, 78244, 102158, 102404, 104067, 22649, 105242, 109853, 111329, 13177, 37087, 47884, 85707, 107436, 16144, 110284, 16556, 5486, 114392, 113954, 103082, 28713, 37026, 22023, 119703, 105879, 5486, 108729, 109904, 106592, 108031, 127637, 33334, 30813, 110706, 56051, 16995, 38641, 111329, 13177, 16995, 85791, 16995, 85791, 26854, 30926, 27452, 122692, 39880, 64810, 22398, 73590, 19732, 77693, 20230, 75146, 109669, 47884, 122521, 30832, 105888, 109853, 111329, 13177, 40474, 91875, 104873, 64531, 71289, 106222, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 5486, 1569, 101, 1569, 108, 113245, 22656, 16144, 48154, 126362, 30512, 105465, 21105, 123, 116446, 61689, 1811, 75293, 76947, 61689, 105879, 5486, 57980, 85791, 106624, 33334, 124730, 78434, 111329, 52118, 11144, 64780, 112599, 19967, 13153, 16325, 38641, 1811, 83747, 21105, 232, 82973, 72315, 1811, 19732, 31431, 30591, 58942, 101860, 91763, 108064, 47884, 110674, 20230, 103223, 25197, 26269, 102514, 120332, 16556, 127849, 71289, 102532, 108086, 33541, 105879, 27929, 112384, 32977, 48154, 111182, 72315, 112479, 13177, 122013, 104356, 16144, 103350, 124299, 10110, 118006, 107809, 16556, 5486, 66378, 20230, 103760, 106759, 29295, 7705, 109853, 53283, 31431, 106956, 38641, 1811, 106759, 29295, 67645, 103171, 97518, 116547, 123410, 118733, 5486, 45829, 67645, 102944, 48634, 29295, 124500, 107462, 47884, 32149, 109900, 103378, 77181, 111108, 102800, 105494, 5486, 48249, 98220, 107407, 106046, 61689, 29295, 5486, 103350, 104983, 5486, 67645, 103171, 104346, 20230, 124500, 107462, 100472, 32149, 104309, 5486, 118006, 104356, 16144, 97518, 78183, 111331, 30926, 27452, 104309, 29295, 15024, 103468, 33503, 30297, 33121, 102800, 38641, 1811, 114363, 103722, 46729, 103306, 126194, 5486, 80805, 84477, 118567, 103306, 48915, 10110, 104575, 50667, 7705, 16556, 30297, 17129, 47884, 16995, 100472, 102944, 30512, 114363, 103722, 46729, 29295, 122013, 20230, 108044, 107290, 5486, 118006, 16556, 103350, 124299, 103792, 105933, 111329, 52118, 11144, 64780, 13177, 122013, 104356, 16144, 103350, 124299, 66383, 95604, 104468, 110904, 20230, 122013, 29295, 103350, 124299, 54926, 102677, 115552, 126194, 5486, 103350, 124299, 121960, 122013, 16144, 113727, 30512, 113797, 30358, 119607, 117408, 22649, 104611, 71289, 108729, 53229, 108630, 30512, 115552, 78434, 1811, 59739, 109709, 5486, 114363, 103722, 46729, 29295, 23039, 30297, 122521, 121960, 32977, 13177, 122013, 104356, 16144, 103350, 124299, 10646, 15682, 116166, 78434, 1811, 64467, 20379, 9554, 64467, 106839, 39880, 107420, 113335, 111769, 118006, 113245, 122521, 109853, 15682, 105184, 32149, 105352, 104043, 30926, 27452, 107407, 19732, 126521, 125651, 1811, 112479, 13177, 104575, 16144, 104378, 103350, 124299, 20230, 21990, 32149, 17663, 110018, 20230, 104405, 109020, 104865, 1811, 64467, 106839, 58426, 102944, 16144, 68408, 126590, 16144, 120098, 19732, 77693, 111363, 60868, 109089, 16144, 30832, 105888, 116806, 107420, 113335, 104865, 64121, 114146, 71289, 66953, 119930, 30512, 53283, 31431, 106956, 111329, 52118, 11144, 64780, 3624, 3481, 50, 15682, 127177, 39880, 107420, 113335, 20230, 103214, 64121, 17701, 104028, 105908, 125545, 107751, 16144, 39880, 107420, 113335, 15682, 36896, 104575, 104378, 10646, 72661, 106391, 16995, 107515, 1811, 104575, 16144, 104378, 30832, 105888, 71289, 104378, 111681, 39607, 113468, 3624, 3481, 50, 16144, 67645, 16144, 105494, 30512, 116414, 103296, 108167, 17701, 104028, 112973, 109431, 102769, 32149, 15682, 108901, 26854, 104533, 91763, 61689, 29295, 5486, 3624, 3481, 50, 16144, 43240, 119064, 108729, 53229, 108630, 71289, 41007, 105242, 15682, 5486, 66378, 20230, 37026, 80195, 112415, 19732, 64531, 40862, 34171, 29295, 126574, 19732, 113727, 33541, 1811, 104575, 16556, 11883, 107991, 107803, 5486, 3624, 3481, 50, 30512, 104575, 20230, 108167, 17701, 104028, 106592, 30832, 112535, 54926, 102677, 102404, 101067, 105755, 15682, 5486, 3624, 3481, 50, 30512, 37026, 80195, 112415, 16144, 30832, 105888, 30512, 104067, 13153, 54926, 124122, 46034, 38574, 103306, 82912, 47000, 105784, 24273, 29295, 22398, 91062, 106240, 32149, 110241, 33121, 107515, 112479, 13177, 15120, 59739, 15120, 118821, 123120, 102052, 26130, 30832, 39926, 102987, 62004, 110071, 123682, 32977, 106116, 111831, 109203, 64889, 112535, 91774, 28713, 110018, 16144, 58426, 121240, 37087, 33014, 66201, 71289, 58426, 45829, 125030, 76947, 16144, 91875, 101513, 71289, 17161, 101171, 230, 55031, 125174, 106627, 116216, 114732, 125396, 107407, 16144, 77181, 19732, 109688, 33565, 100, 78434, 59459, 104736, 109375, 5486, 57207, 100560, 250, 33710, 5486, 91774, 33035, 15024, 106084, 30369, 119318, 116310, 19732, 103350, 23039, 48634, 15682, 97518, 89046, 15024, 40862, 107462, 104533, 91763, 30297, 105879, 7705, 123120, 16556, 91774, 100481, 47884, 5486, 104398, 32149, 47884, 17620, 107441, 64121, 104533, 50834, 102052, 108064, 32977, 20834, 38144, 109749, 112294, 28542, 32149, 106046, 61689, 29295, 5486, 110924, 111363, 108526, 117243, 15682, 127091, 57903, 33541, 32149, 1811, 52118, 110124, 103, 99397, 107726, 111243, 110706, 79721, 1811, 52118, 105180, 16144, 105408, 126027, 13177, 103424, 109375, 66383, 32149, 13177, 74245, 99750, 66383, 127173, 33121, 101732, 58426, 106592, 5486, 101182, 115552, 82912, 109669, 107674, 31431, 115552, 109669, 107674, 31431, 54926, 120266, 105994, 15682, 109834, 103868, 107407, 105879, 59983, 59983, 59983, 59983, 1811, 116900, 112169, 117758, 39880, 107420, 113335, 19732, 112844, 100909, 55031, 37507, 30369, 108010, 34208, 99750, 26854, 105879, 109954, 32149, 111329, 52118, 11144, 64780, 3624, 3481, 50, 15682, 13177, 37087, 33014, 15682, 105494, 16144, 110022, 34208, 105755, 119448, 16995, 116326, 16, 112959, 79, 13, 23, 7705, 106592, 104736, 107436, 108086, 5486, 110924, 30512, 3624, 3481, 50, 16144, 66378, 17599, 112, 112028, 59739, 36785, 103306, 61689, 1811, 105184, 111201, 5486, 106596, 63072, 37087, 33014, 16144, 89046, 106307, 33014, 30512, 101067, 23187, 56051, 39177, 123085, 16144, 105408, 126027, 13177, 103424, 109375, 66383, 32149, 13177, 74245, 99750, 66383, 127173, 115032, 102944, 20230, 57106, 103854, 104533, 5486, 106596, 109904, 91774, 24273, 120332, 20230, 82912, 109669, 47884, 106046, 61689, 29295, 5486, 45829, 67645, 32977, 30512, 37087, 33014, 112535, 15017, 231, 58942, 101200, 117408, 80195, 75267, 30512, 33476, 23187, 103792, 113334, 16556, 26854, 15682, 47884, 5486, 104004, 15024, 85791, 109189, 127145, 1811, 80195, 75267, 113468, 3624, 3481, 50, 16144, 82912, 109669, 76622, 29295, 124500, 30369, 120266, 95221, 109669, 32149, 127397, 124089, 28190, 101828, 16995, 99750, 101067, 30512, 97135, 61689, 1811, 105994, 71289, 43511, 112919, 80195, 75267, 30512, 50021, 103359, 33208, 39926, 124089, 123017, 3624, 3481, 50, 16144, 37689, 104577, 112028, 59739 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 105888, 12, 80805, 84477, 96452, 115247, 30832, 105888, 16144, 116700, 1981, 125174, 106627, 39926, 113727, 102204, 100604, 105879, 111329, 13177, 103350, 104983, 20230, 127177, 107430, 102351, 111363, 108044, 107800, 32149, 28713, 71289, 5486, 123050, 30046, 110792, 55999, 19361, 104309, 5486, 118789, 109904, 107740, 27452, 104309, 32977, 104655, 102532, 64121, 28713, 102518, 38641, 111329, 13177, 60868, 109089, 123604, 30512, 103792, 103350, 124299, 27452, 1811, 102433, 121960, 67645, 119775, 124180, 30512, 103214, 104127, 103130, 62004, 100934, 32149, 111329, 13177, 122521, 111831, 117758, 118789, 109904, 103350, 124299, 27452, 111329, 13177, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 102404, 104067, 38574, 106090, 19732, 102404, 104067, 30512, 113096, 17663, 122521, 41007, 111329, 13177, 16995, 85791, 16995, 85791, 26854, 126465, 30512, 53283, 31431, 5486, 107740, 71289, 106839, 17701, 16144, 106548, 24273, 109853, 111329, 13177, 3624, 3481, 50, 16144, 118789, 9554, 103350, 124299, 27452, 109853, 125821, 53283, 31431, 106956, 38641, 111329, 13177, 86127, 30926, 119627, 5486, 112185, 111831, 30512, 113954, 109768, 100604, 105879, 5486, 111831, 113954, 30512, 109768, 47884, 109215, 30512, 112391, 79721, 111329, 13177, 3624, 3481, 50, 16144, 122401, 16144, 124858, 16556, 43032, 103854, 102204, 101732, 45, 7532, 16144, 103826, 104680, 26854, 102971, 105242, 1811, 115143, 104043, 43032, 103854, 102204, 100481, 79721, 29295, 112160, 59739, 15120, 59739, 100204, 121710, 31431, 78698, 107290, 115226, 111329, 13177, 113841, 25287, 122521, 109853, 111329, 13177, 40474, 91875, 104873, 64531, 16144, 30926, 27452, 30512, 125821, 43240, 47884, 53283, 31431, 106956, 106046, 61689, 111329, 13177, 104622, 61826, 30832, 105888, 16144, 102647, 23187, 29295, 71289, 15682, 31431, 111108, 67016, 100472, 105879, 5486, 108031, 114715, 48864, 102802, 106956, 111329, 13177, 118283, 39880, 122835, 30512, 39926, 64121, 79721, 29295, 5486, 22649, 105242, 29295, 112185, 114652, 78183, 32149, 107462, 100604, 113009, 5486, 122225, 16144, 109440, 100472, 110229, 115991, 79721, 1811, 22649, 105242, 30512, 105994, 16556, 17129, 26854, 102802, 126738, 39926, 88356, 27479, 114099, 102669, 56051, 16995, 106046, 61689, 111329, 13177, 40474, 91875, 104873, 64531, 109853, 5486, 125821, 118789, 112535, 48864, 102802, 106956, 38641, 111329, 13177, 53, 2434, 104088, 106272, 118283, 39880, 30512, 18655, 30369, 104468, 19732, 111243, 53508, 231, 104195, 115717, 79721, 1811, 100927, 58942, 100481, 90620, 105784, 24273, 119279, 124195, 115541, 108710, 108608, 101513, 38093, 29295, 30591, 104984, 85777, 106956, 38641, 111329, 13177, 91482, 68408, 90962, 91774, 38144, 102446, 108710, 15024, 5486, 9080, 40053, 20230, 21980, 236, 33208, 108608, 104466, 102446, 108710, 30512, 33035, 39926, 48864, 102802, 106956, 111329, 13177, 39880, 64810, 22398, 73590, 16144, 123470, 108167, 103214, 64121, 24273, 107751, 16144, 39880, 107420, 113335, 25333, 30512, 53283, 33503, 103470, 111243, 108608, 105879, 109954, 32149, 1811, 28713, 19732, 116285, 123218, 124905, 76947, 16144, 103984, 112854, 122521, 104309, 5486, 1777, 6546, 104309, 53283, 33503, 103470, 111243, 3624, 3481, 50, 16144, 39880, 107420, 113335, 25333, 116771, 16556, 106084, 30369, 105879, 109954, 32149, 1811, 99849, 19732, 103470, 5486, 102971, 91077, 5486, 127177, 39880, 107420, 113335, 25333, 32977, 53508, 231, 104195, 56051, 31431, 108167, 17701, 103468, 31431, 21105, 103, 47884, 104702, 16995, 124324, 25827, 110034, 16144, 91006, 102677, 116499, 127145, 111329, 52118, 11144, 64780, 127177, 39880, 107420, 113335, 30512, 53283, 33503, 103470, 111243, 3624, 3481, 50, 16144, 113841, 25287, 122521, 30512, 103350, 102923, 54926, 103378, 72661, 115552, 115991, 33541, 119520, 5486, 113841, 25287, 122521, 30512, 105755, 118789, 33208, 56051, 31431, 5486, 32335, 109431, 33208, 56051, 31431, 54926, 104983, 20230, 127177, 39880, 107420, 113335, 32977, 32977, 43514, 85791, 25827, 121846, 115717, 33541, 1811, 124180, 20230, 103826, 104680, 26854, 39880, 107420, 113335, 20230, 102097, 33035, 103792, 105335, 26269, 52591, 29295, 27929, 85791, 107462, 104984, 77693, 103378, 32335, 109431, 26854, 122521, 30512, 103350, 102923, 108608, 125396, 29295, 45736, 109709, 33541, 112479, 13177, 3624, 3481, 50, 16144, 22649, 104611, 15682, 19732, 111243, 55999, 99750, 78434, 29295, 5486, 28713, 19732, 116285, 113096, 103130, 9554, 64467, 106839, 39880, 107420, 113335, 29295, 108608, 17792, 103234, 30512, 101662, 125655, 103296, 125030, 111243, 82973, 29295, 32149, 32149, 104533, 91763, 61689, 1811, 64467, 20379, 9554, 64467, 106839, 39880, 107420, 113335, 15682, 41642, 116310, 20230, 113954, 120837, 110706, 126172, 16995, 118855, 105994, 29295, 50, 2599, 124905, 105262, 101200, 108176, 17129, 72661, 26854, 107188, 32149, 103984, 28542, 20230, 101557, 96, 104028, 103296, 32149, 117295, 16144, 77181, 106046, 61689, 1811, 17792, 103234, 101662, 13153, 16144, 110229, 5486, 105994, 32977, 96412, 107436, 123334, 107462, 90620, 118145, 106046, 61689, 111329, 13177, 31809, 30832, 105888, 30512, 116700, 54926, 118733, 16995, 111201, 58426, 30832, 105888, 30512, 29220, 104612, 54926, 102677, 103984, 28542, 20230, 14309, 98, 31431, 126172, 47884, 109020, 16144, 30512, 16995, 111201, 112415, 16144, 105843, 103350, 19732, 58426, 122521, 30512, 102832, 61398, 20230, 109768, 105784, 104466, 54926, 71289, 31431, 24273, 104309, 30591, 104984, 104655, 102532, 115226, 106046, 16995, 79721, 1811, 50, 2599, 6354, 372, 30512, 30832, 105888, 116700, 20230, 21990, 32149, 17663, 10110, 106826, 103830, 60596, 52118, 106826, 103830, 66224, 16144, 60634, 23039, 7705, 110229, 30512, 108031, 114715, 118789, 112535, 53283, 31431, 106956, 106046, 16995, 79721, 111329, 13177, 113841, 25287, 122521, 111329, 13177, 39880, 64810, 22398, 73590, 111831, 112028, 59739, 15120, 59739, 1811, 103826, 104680, 26854, 114363, 103722, 46729, 16144, 46034, 16556, 118368, 50834, 109415, 109115, 111831, 36785, 106046, 61689, 29295, 5486, 30832, 105888, 117408, 20230, 40265, 28713, 76947, 124563, 112371, 71289, 100472, 118881, 29295, 104712, 104865, 5486, 102831, 26955, 254, 30512, 53283, 100472, 17905, 16556, 108446, 50928, 39926, 108167, 103214, 115226, 111329, 13177, 104575, 110904, 25129, 16556, 103470, 111243, 5486, 117409, 16144, 104575, 16556, 108167, 103214, 17129, 115032, 103350, 124299, 27452, 30512, 100927, 58942, 100481, 90620, 105784, 78699, 33121, 102800, 38641, 111329, 13177, 123011, 62004, 111831, 16144, 13177, 125098, 99750, 10646, 104309, 15682, 19732, 111243, 75694, 59739, 26854, 112391, 29295, 39926, 103801, 16995, 79721, 111329, 13177, 30177, 15024, 24273, 120332, 111329, 13177, 113841, 25287, 122521, 16144, 13177, 113841, 10646, 59739, 102532, 111329, 13177, 40474, 91875, 104873, 64531, 109853, 125821, 48864, 103854, 104533, 91763, 106358, 29295, 5486, 114715, 121953, 79721, 1811, 15017, 231, 58942, 32149, 28713, 15682, 104712, 29295, 5486, 118789, 109904, 122521, 119703, 19732, 111329, 13177, 39880, 64810, 22398, 73590, 55031, 45829, 67645, 102944, 13153, 101544, 104088, 38144, 5486, 103350, 104983, 20230, 30832, 105888, 30512, 121697, 38144, 97518, 78183, 76947, 115226, 106046, 16995, 79721, 111329, 13177, 52591, 117243, 121894, 30512, 106839, 47884, 103350, 124299, 27452, 5486, 96452, 32131, 103906, 52884, 111329, 13177, 3624, 3481, 50, 102494, 68408, 114615, 22649, 105242, 5486, 107624, 95001, 110261, 27479, 16144, 116718, 10110, 15120, 59739, 15120, 118821, 111831, 7705, 109853, 108031, 114715, 19012, 246, 31431, 17297, 102639, 38144, 48864, 104127, 16995, 105898, 16995, 106046, 16995, 79721, 111329, 13177, 75146, 17920, 236, 109904, 106592, 108031, 83747, 21105, 246, 121710, 31431, 48864, 103854, 127567, 106046, 61689, 1811, 3624, 3481, 50, 16144, 22649, 105242, 124858, 104856, 103836, 100909, 104309, 32977, 100204, 121710, 111842, 106084, 104984, 106046, 61689, 111329, 13177, 60868, 109089, 16144, 37087, 33014, 66201, 30512, 50520, 111, 106624, 53283, 31431, 106956, 1811, 107624, 95001, 111831, 15120, 59739, 15120, 118821, 50338, 13393, 230, 16144, 106548, 24273, 30512, 53283, 31431, 106956, 111329, 13177, 78244, 102158, 102404, 104067, 22649, 105242, 109853, 111329, 13177, 37087, 47884, 85707, 107436, 16144, 110284, 16556, 5486, 114392, 113954, 103082, 28713, 37026, 22023, 119703, 105879, 5486, 108729, 109904, 106592, 108031, 127637, 33334, 30813, 110706, 56051, 16995, 38641, 111329, 13177, 16995, 85791, 16995, 85791, 26854, 30926, 27452, 122692, 39880, 64810, 22398, 73590, 19732, 77693, 20230, 75146, 109669, 47884, 122521, 30832, 105888, 109853, 111329, 13177, 40474, 91875, 104873, 64531, 71289, 106222, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 5486, 1569, 101, 1569, 108, 113245, 22656, 16144, 48154, 126362, 30512, 105465, 21105, 123, 116446, 61689, 1811, 75293, 76947, 61689, 105879, 5486, 57980, 85791, 106624, 33334, 124730, 78434, 111329, 52118, 11144, 64780, 112599, 19967, 13153, 16325, 38641, 1811, 83747, 21105, 232, 82973, 72315, 1811, 19732, 31431, 30591, 58942, 101860, 91763, 108064, 47884, 110674, 20230, 103223, 25197, 26269, 102514, 120332, 16556, 127849, 71289, 102532, 108086, 33541, 105879, 27929, 112384, 32977, 48154, 111182, 72315, 112479, 13177, 122013, 104356, 16144, 103350, 124299, 10110, 118006, 107809, 16556, 5486, 66378, 20230, 103760, 106759, 29295, 7705, 109853, 53283, 31431, 106956, 38641, 1811, 106759, 29295, 67645, 103171, 97518, 116547, 123410, 118733, 5486, 45829, 67645, 102944, 48634, 29295, 124500, 107462, 47884, 32149, 109900, 103378, 77181, 111108, 102800, 105494, 5486, 48249, 98220, 107407, 106046, 61689, 29295, 5486, 103350, 104983, 5486, 67645, 103171, 104346, 20230, 124500, 107462, 100472, 32149, 104309, 5486, 118006, 104356, 16144, 97518, 78183, 111331, 30926, 27452, 104309, 29295, 15024, 103468, 33503, 30297, 33121, 102800, 38641, 1811, 114363, 103722, 46729, 103306, 126194, 5486, 80805, 84477, 118567, 103306, 48915, 10110, 104575, 50667, 7705, 16556, 30297, 17129, 47884, 16995, 100472, 102944, 30512, 114363, 103722, 46729, 29295, 122013, 20230, 108044, 107290, 5486, 118006, 16556, 103350, 124299, 103792, 105933, 111329, 52118, 11144, 64780, 13177, 122013, 104356, 16144, 103350, 124299, 66383, 95604, 104468, 110904, 20230, 122013, 29295, 103350, 124299, 54926, 102677, 115552, 126194, 5486, 103350, 124299, 121960, 122013, 16144, 113727, 30512, 113797, 30358, 119607, 117408, 22649, 104611, 71289, 108729, 53229, 108630, 30512, 115552, 78434, 1811, 59739, 109709, 5486, 114363, 103722, 46729, 29295, 23039, 30297, 122521, 121960, 32977, 13177, 122013, 104356, 16144, 103350, 124299, 10646, 15682, 116166, 78434, 1811, 64467, 20379, 9554, 64467, 106839, 39880, 107420, 113335, 111769, 118006, 113245, 122521, 109853, 15682, 105184, 32149, 105352, 104043, 30926, 27452, 107407, 19732, 126521, 125651, 1811, 112479, 13177, 104575, 16144, 104378, 103350, 124299, 20230, 21990, 32149, 17663, 110018, 20230, 104405, 109020, 104865, 1811, 64467, 106839, 58426, 102944, 16144, 68408, 126590, 16144, 120098, 19732, 77693, 111363, 60868, 109089, 16144, 30832, 105888, 116806, 107420, 113335, 104865, 64121, 114146, 71289, 66953, 119930, 30512, 53283, 31431, 106956, 111329, 52118, 11144, 64780, 3624, 3481, 50, 15682, 127177, 39880, 107420, 113335, 20230, 103214, 64121, 17701, 104028, 105908, 125545, 107751, 16144, 39880, 107420, 113335, 15682, 36896, 104575, 104378, 10646, 72661, 106391, 16995, 107515, 1811, 104575, 16144, 104378, 30832, 105888, 71289, 104378, 111681, 39607, 113468, 3624, 3481, 50, 16144, 67645, 16144, 105494, 30512, 116414, 103296, 108167, 17701, 104028, 112973, 109431, 102769, 32149, 15682, 108901, 26854, 104533, 91763, 61689, 29295, 5486, 3624, 3481, 50, 16144, 43240, 119064, 108729, 53229, 108630, 71289, 41007, 105242, 15682, 5486, 66378, 20230, 37026, 80195, 112415, 19732, 64531, 40862, 34171, 29295, 126574, 19732, 113727, 33541, 1811, 104575, 16556, 11883, 107991, 107803, 5486, 3624, 3481, 50, 30512, 104575, 20230, 108167, 17701, 104028, 106592, 30832, 112535, 54926, 102677, 102404, 101067, 105755, 15682, 5486, 3624, 3481, 50, 30512, 37026, 80195, 112415, 16144, 30832, 105888, 30512, 104067, 13153, 54926, 124122, 46034, 38574, 103306, 82912, 47000, 105784, 24273, 29295, 22398, 91062, 106240, 32149, 110241, 33121, 107515, 112479, 13177, 15120, 59739, 15120, 118821, 123120, 102052, 26130, 30832, 39926, 102987, 62004, 110071, 123682, 32977, 106116, 111831, 109203, 64889, 112535, 91774, 28713, 110018, 16144, 58426, 121240, 37087, 33014, 66201, 71289, 58426, 45829, 125030, 76947, 16144, 91875, 101513, 71289, 17161, 101171, 230, 55031, 125174, 106627, 116216, 114732, 125396, 107407, 16144, 77181, 19732, 109688, 33565, 100, 78434, 59459, 104736, 109375, 5486, 57207, 100560, 250, 33710, 5486, 91774, 33035, 15024, 106084, 30369, 119318, 116310, 19732, 103350, 23039, 48634, 15682, 97518, 89046, 15024, 40862, 107462, 104533, 91763, 30297, 105879, 7705, 123120, 16556, 91774, 100481, 47884, 5486, 104398, 32149, 47884, 17620, 107441, 64121, 104533, 50834, 102052, 108064, 32977, 20834, 38144, 109749, 112294, 28542, 32149, 106046, 61689, 29295, 5486, 110924, 111363, 108526, 117243, 15682, 127091, 57903, 33541, 32149, 1811, 52118, 110124, 103, 99397, 107726, 111243, 110706, 79721, 1811, 52118, 105180, 16144, 105408, 126027, 13177, 103424, 109375, 66383, 32149, 13177, 74245, 99750, 66383, 127173, 33121, 101732, 58426, 106592, 5486, 101182, 115552, 82912, 109669, 107674, 31431, 115552, 109669, 107674, 31431, 54926, 120266, 105994, 15682, 109834, 103868, 107407, 105879, 59983, 59983, 59983, 59983, 1811, 116900, 112169, 117758, 39880, 107420, 113335, 19732, 112844, 100909, 55031, 37507, 30369, 108010, 34208, 99750, 26854, 105879, 109954, 32149, 111329, 52118, 11144, 64780, 3624, 3481, 50, 15682, 13177, 37087, 33014, 15682, 105494, 16144, 110022, 34208, 105755, 119448, 16995, 116326, 16, 112959, 79, 13, 23, 7705, 106592, 104736, 107436, 108086, 5486, 110924, 30512, 3624, 3481, 50, 16144, 66378, 17599, 112, 112028, 59739, 36785, 103306, 61689, 1811, 105184, 111201, 5486, 106596, 63072, 37087, 33014, 16144, 89046, 106307, 33014, 30512, 101067, 23187, 56051, 39177, 123085, 16144, 105408, 126027, 13177, 103424, 109375, 66383, 32149, 13177, 74245, 99750, 66383, 127173, 115032, 102944, 20230, 57106, 103854, 104533, 5486, 106596, 109904, 91774, 24273, 120332, 20230, 82912, 109669, 47884, 106046, 61689, 29295, 5486, 45829, 67645, 32977, 30512, 37087, 33014, 112535, 15017, 231, 58942, 101200, 117408, 80195, 75267, 30512, 33476, 23187, 103792, 113334, 16556, 26854, 15682, 47884, 5486, 104004, 15024, 85791, 109189, 127145, 1811, 80195, 75267, 113468, 3624, 3481, 50, 16144, 82912, 109669, 76622, 29295, 124500, 30369, 120266, 95221, 109669, 32149, 127397, 124089, 28190, 101828, 16995, 99750, 101067, 30512, 97135, 61689, 1811, 105994, 71289, 43511, 112919, 80195, 75267, 30512, 50021, 103359, 33208, 39926, 124089, 123017, 3624, 3481, 50, 16144, 37689, 104577, 112028, 59739 ]
[ 118816, 78698, 107290, 61689, 112479, 13177, 30832, 105888, 121507, 30512, 104405, 91774, 30369, 104865, 102677, 102446, 108710, 10110, 15120, 9080, 30832, 7705, 29295, 16325, 108968, 16556, 105721, 78183, 100472, 105879, 115847, 30512, 103350, 15682, 104356, 126365, 28713, 102518, 106046, 16995, 79721, 1811, 102131, 112990, 5486, 116414, 114447, 125231, 124233, 32149, 121118, 16144, 111769, 32149, 106046, 16995, 79721, 111329, 13177, 107430, 75267, 71289, 97518, 89046, 102923, 102332, 126250, 64810, 101198, 118567, 125523, 102532, 32977, 33503, 102334, 16995, 106046, 16995, 79721, 111329, 52118, 11144, 64780, 33334, 105324, 102802, 115962, 118145, 116414, 102416, 72661, 23039, 50834, 33541, 1811, 124180, 37087, 102351, 29295, 3624, 3481, 50, 16144, 22649, 104611, 30512, 55999, 19361, 103082, 104984, 89046, 120988, 29295, 102987, 17129, 104533, 91763, 61689, 112479, 13177, 105284, 99397, 20230, 104257, 121370, 113115, 106608, 109768, 90620, 50834, 5486, 97135, 16995, 79721, 1811, 3624, 3481, 50, 16144, 103424, 30813, 30512, 105755, 53283, 30369, 105908, 108608, 104466, 30926, 27452, 30512, 53283, 31431, 106956, 111329, 13177, 64810, 101198, 118567, 16556, 43167, 62004, 109115, 48, 36121, 120950, 102944, 30512, 103927, 103202, 122481, 16556, 74482, 9080, 91774, 110071, 104466, 39926, 108112, 30813, 104533, 103129, 32149, 104533, 114284, 79721, 111329, 52118, 11144, 64780, 111090, 125380, 97135, 61689, 1811, 114652, 101182, 105284, 99397, 114556, 39926, 15682, 6748, 20230, 19012, 110, 107121, 109768, 105898, 16995, 106046, 61689, 112479, 13177, 102208, 30590, 16144, 3624, 3481, 50, 16144, 64810, 101198, 118567, 103911, 23187, 104309, 30512, 103927, 103202, 122481, 16556, 55999, 19361, 39926, 10110, 8107, 56965, 103911, 23187, 103306, 7705, 33334, 53283, 117063, 16995, 90620, 105784, 102083, 16995, 26854, 11972, 106046, 16995, 79721, 111329, 52118, 11144, 64780, 112185, 46034, 106767, 111331, 127749, 16556, 5486, 8107, 56965, 30512, 33035, 39926, 16144, 82420, 55723, 15682, 121697, 124195, 108086, 107515, 1811, 102782, 15024, 117735, 124897, 1811, 105184, 111201, 48154, 37689, 91774, 16144, 33035, 111331, 24273, 29295, 110284, 30046, 125030, 76947, 15682, 110284, 15024, 126172, 115737, 104533, 91763, 61689, 105879, 108608, 103378, 82420, 55723, 30512, 103856, 47884, 20230, 121697, 108134, 104908, 109768, 105898, 16995, 106046, 61689, 112479, 13177, 110284, 25580, 15682, 44915, 29295, 113954, 108608, 32149, 127408, 16556, 56051, 29295, 5486, 78183, 107277, 126172, 47884, 122984, 39926, 108112, 30813, 76947, 33334, 32149, 102639, 16556, 108149, 16144, 22656, 20230, 102181, 102532, 105693, 104468, 108895, 95604, 100909, 103351, 104865, 106046, 105262, 105908, 121771, 98369, 30591, 76947, 5486, 110284, 39926, 57980, 102518, 106046, 16995, 79721, 1811, 60868, 109089, 112197, 110241, 85791, 30813, 10110, 102083, 76947, 103801, 76947, 104712, 104865, 26854, 7705, 32977, 111108, 21105, 243, 32977, 114652, 78183, 107277, 79721, 111329, 13177, 37271, 74482, 32977, 120321, 106307, 112535, 108931, 113245, 87447, 113497, 30512, 103192, 64121, 33541, 111329, 13177, 103350, 124299, 16556, 38129, 54926, 113009, 127359, 118331, 107908, 19732, 103350, 124299, 116825, 26854, 104699, 22656, 30512, 20834, 39926, 72315, 111329, 52118, 11144, 64780, 103350, 124299, 30512, 15024, 126172, 47884, 54926, 103846, 5486, 112825, 110904, 20230, 98499, 109315, 102944, 30512, 20834, 39926, 102717, 102800, 102677, 109335, 127164, 72661, 114652, 117952, 104028, 110792, 100909, 38641, 1811, 115507, 103988, 52414, 105408, 105459, 125334, 30813, 100604, 48249, 31431, 15682, 3624, 3481, 50, 30512, 123201, 117158, 56051, 22656, 30512, 109898, 54926, 109335, 103082, 107515, 1811, 112479, 13177, 48864, 108710, 64467, 106839, 31634, 108761, 10110, 37026, 80195, 112415, 7705, 19732, 3624, 3481, 50, 16144, 97518, 89046, 54926, 109544, 29295, 30591, 104984, 5486, 6748, 110162, 20230, 122060, 72661, 59983, 59983, 59983, 59983, 106046, 61689, 111329, 52118, 11144, 64780, 24, 9953, 16144, 119389, 104378, 124052, 16556, 13177, 37026, 80195, 112415, 19732, 3624, 3481, 50, 10646, 109853, 37026, 36668, 57207, 16073, 89154, 76428, 65299, 91062, 123410, 103911, 23187, 38641, 1811, 105721, 35287, 127564, 109544, 30512, 15120, 34048, 6748, 20230, 122060, 78434, 112479, 13177, 18, 107707, 105408, 33334, 127814, 33121, 103826, 16556, 56051, 1811, 64810, 101198, 96452, 38248, 226, 76947, 108112, 30813, 76947, 19361, 31431, 111108, 30297, 123231, 124845, 114363, 103722, 46729, 116749, 16144, 110284, 30512, 119010, 122808, 20230, 109768, 90620, 102532, 99750, 118835, 38641, 1811, 16995, 85791, 16995, 85791, 48864, 81219, 72342, 100481, 90620, 102532, 5486, 108031, 30591, 107118, 103350, 124299, 119627, 5486, 116690, 30046, 20230, 60868, 109089, 16144, 87177, 123410, 112973, 27384, 104721, 26854, 105879, 5486, 53508, 231, 104195, 38093, 110162, 71289, 31431, 106956, 38641, 1811, 48154, 50021, 111813, 107726, 100481, 90620, 47884, 32149, 110241, 33121, 107515, 1811, 57980, 85791, 106624, 33334, 124730, 78434, 1811, 43514, 26854, 64121, 20230, 119869, 103906, 113335, 71289, 57650, 109853, 53283, 31431, 112160, 59739, 15120, 59739, 103378, 16144, 48249, 98220, 30512, 53283, 76947, 60868, 109089, 20230, 33565, 117, 32149, 106824, 5486, 60868, 109089, 30512, 48864, 102802, 5486, 60868, 109089, 16144, 20119, 254, 103214, 64121, 115132, 64810, 22398, 73590, 30512, 39926, 5486, 53900, 103906, 113335, 71289, 57650, 104309, 102159, 103283, 16144, 46034, 25333, 30512, 103350, 124299, 109768, 47884, 100909, 108176, 102189, 26854, 11972, 106046, 16995, 79721, 1811, 102971, 91077, 114941, 103836, 102189, 107493, 5486, 60868, 109089, 30512, 119870, 17129, 105262, 32149, 119870, 17129, 119841, 32149, 16556, 37087, 61994, 108010, 30297, 26854, 106046, 61689, 119520, 5486, 17663, 48154, 16995, 53508, 231, 104195, 21105, 103, 16995, 102083, 76622, 107515, 101832, 1811, 71289, 112043, 122485, 104446, 91062, 37823, 36785, 111329, 13177, 25963, 21909, 34617, 8107, 122756, 108570, 103682, 102667, 16144, 17161, 47653, 107391, 115695, 22398, 72661, 127637, 101772, 23951, 114475, 76622, 79721, 109807, 110018, 15682, 37087, 119064, 27113, 16144, 121894, 16556, 48864, 102189, 105879, 114652, 78183, 124403, 17129, 103296, 56051, 119520, 5486, 110589, 88356, 27479, 101772, 23951, 30512, 30297, 105784, 118733, 5486, 105755, 113954, 54926, 105908, 106084, 79721, 1811, 112185, 114731, 102781, 101467, 107809, 72661, 3624, 3481, 50, 30512, 114652, 53283, 110104, 114754, 127181, 105879, 115847, 55031, 125821, 53508, 231, 104195, 56051, 16995, 106046, 61689, 111329, 13177, 101682, 114341, 42506, 29295, 45736, 47884, 111243, 57980, 16995, 105879, 5486, 101544, 106894, 105408, 16144, 87177, 29295, 104655, 105898, 16995, 111329, 52118, 11144, 64780, 88367, 26854, 48249, 31431, 110284, 126130, 124730, 56051, 16995, 106046, 61689, 112479, 13177, 105284, 107750, 16144, 82973, 29295, 105184, 33563, 116216, 108086, 116898, 85791, 16995, 85791, 26854, 105284, 99397, 125334, 38144, 5486, 53900, 77693, 113115, 39926, 31958, 102395, 107898, 103899, 58942, 16995, 90620, 50834, 5486, 105843, 103350, 56051, 44915, 103351, 111329, 13177, 114341, 104599, 20230, 105284, 99397, 56051, 103899, 58942, 29295, 9554, 105184, 16556, 104435, 31431, 30591, 16995, 17129, 16995, 103351, 31431, 54926, 104468, 57933, 62903, 20251, 65299, 20230, 103899, 58942, 101860, 123213, 46729, 20230, 114140, 104309, 39926, 111654, 102800, 119150, 1811, 49838, 16995, 112987, 110104, 55031, 111329, 52118, 11144, 64780, 112624, 102780, 109768, 90620, 105784, 113925, 29295, 103082, 101860, 5486, 102782, 15024, 117735, 57903, 105823, 104127, 56051, 123601, 46729, 20230, 114140, 29295, 109215, 26854, 110229, 15682, 114140, 15024, 5486, 108134, 15682, 6748, 50667, 16556, 122060, 78434, 112479, 13177, 22656, 16144, 117735, 29295, 109431, 102769, 16556, 103470, 107960, 108267, 21105, 234, 43514, 113637, 121894, 15682, 104575, 20230, 106839, 17701, 119607, 114267, 110018, 20230, 127177, 107430, 102351, 20230, 101682, 76622, 125639, 102204, 29295, 106956, 1811, 107624, 95001, 16144, 17161, 78244, 16144, 115552, 29295, 55999, 19361, 84389, 100604, 19732, 71493, 16073, 104774, 44971, 107446, 23897, 112772, 116166, 21105, 103, 16995, 55031, 111329, 52118, 11144, 64780, 107624, 95001, 75146, 107253, 16144, 115552, 30512, 118283, 39880, 122835, 25580, 105352, 104043, 114140, 54926, 109215, 115991, 79721, 1811, 110924, 29295, 16937, 114392, 103351, 113009, 107960, 108267, 30512, 104394, 102334, 105494, 32977, 57903, 5486, 95543, 66870, 30512, 126020, 33541, 1811, 125144, 117735, 71289, 98499, 64121, 108167, 20230, 47884, 16995, 23964, 229, 32938, 107294, 50834, 17129, 39926, 15682, 6748, 16556, 108134, 104908, 109768, 50834, 33541, 112479, 13177, 107253, 104874, 9458, 98897, 55723, 50667, 33334, 112008, 102800, 16325, 126920, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 1811, 100927, 102351, 116749, 16144, 43511, 107430, 104091, 120332, 32977, 110284, 39926, 102532, 5486, 43240, 119064, 17792, 5486, 43240, 119064, 80195, 75267, 124911, 20230, 3624, 3481, 50, 16144, 113727, 29295, 108285, 17129, 104984, 5486, 104575, 104378, 5486, 80539, 5486, 115612, 122521, 104378, 32977, 124500, 104533, 114284, 79721, 111329, 13177, 3624, 3481, 50, 109853, 85707, 107436, 16144, 101772, 23951, 16556, 56051, 29295, 5486, 53508, 231, 104195, 115717, 79721, 118855, 22656, 30512, 98499, 104127, 21105, 96, 107277, 105994, 107809, 20230, 102936, 19732, 15024, 104526, 108031, 106046, 61689, 1811, 3624, 3481, 50, 15682, 43511, 120332, 105838, 71289, 39880, 107420, 113335, 20230, 61056, 106616, 111769, 19732, 57903, 79721, 29295, 5486, 126920, 51330, 113727, 24273, 15682, 107693, 118816, 112391, 79721, 111329, 13177, 41920, 9080, 56965, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 1811, 118953, 107610, 113245, 102756, 105048, 32977, 45829, 67645, 102944, 91774, 24273, 30512, 48864, 104369, 101513, 38093, 115717, 5486, 105465, 106624, 48864, 103854, 79721, 111329, 13177, 68759, 125596, 124905, 105262, 38093, 75267, 29295, 106084, 104984, 57980, 16995, 125651, 1811, 3624, 3481, 50, 102494, 68408, 114615, 66378, 17599, 112, 115132, 114740, 16144, 126362, 50667, 32977, 96412, 107436, 5486, 105843, 103350, 39926, 102532, 57980, 102518, 38641, 1811, 41920, 18904, 30832, 32977, 101682, 114341, 56051, 16995, 119150, 104466, 54926, 102052, 5486, 91482, 68408, 90962, 16144, 44915, 50667, 83747, 21105, 248, 59739, 104721, 105262, 109215, 107407, 32149, 110241, 33121, 107515, 29295, 1811, 123357, 91077, 15682, 27384, 104721, 36785, 119150, 105879, 117119, 32149, 33334, 46034, 108044, 16995, 29295, 106084, 104984, 106046, 61689, 29295, 1811, 104398, 121867, 106613, 106382, 29295, 32149, 32149, 107462, 104533, 91763, 61689, 105879, 5486, 115251, 123357, 91077, 119279, 35330, 30512, 16995, 90620, 102532, 32977, 10110, 37271, 123470, 112415, 106382, 16144, 103846, 105352, 7705, 57980, 16995, 104023, 3443, 15, 35757, 16556, 57980, 117714, 77181, 122262, 127814, 33121, 103826, 16556, 56051, 127211, 104721, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 1811, 19732, 111243, 105843, 103350, 56051, 38093, 16556, 56051, 111329, 13177, 126920, 105284, 16144, 57980, 16995, 3624, 3481, 50, 102494, 68408, 114615, 103350, 124299, 30046, 5486, 113954, 30046, 30512, 108285, 102639, 100481, 105898, 16995, 19732, 78698, 107290, 33334, 110071, 105879, 30591, 104984, 5486, 101682, 114341, 106382, 15682, 45736, 115737, 114598, 32149, 17129, 78183, 100604, 16556, 5486, 125821, 124957, 112535, 22649, 105242, 90581, 107624, 95001, 5486, 103350, 124299, 103296, 64121, 120240, 111842, 48864, 103854, 30369, 114341, 108710, 38093, 20230, 17663, 125231, 36785, 106046, 61689, 1811, 51385, 87844, 20230, 13177, 53283, 100472, 59739, 123731, 10646, 16556, 103350, 124299, 54926, 17792, 10110, 86127, 32977, 96412, 107436, 7705, 30512, 115079, 126172, 112997, 29220, 120937, 123253, 32149, 109900, 15682, 113702, 103306, 102494, 68408, 114615, 105284, 30512, 17297, 102639, 30369, 103378, 36785, 106046, 61689, 29295, 9174, 37271, 18904, 5486, 118953, 107610, 16144, 87177, 15024, 40862, 114774, 105284, 107750, 72661, 87177, 104482, 20230, 115442, 100472, 104468, 5486, 33655, 78183, 115032, 102158, 106808, 109853, 104405, 50338, 13393, 230, 9458, 23187, 104577, 54926, 32149, 102677, 28542, 103351, 32149, 106046, 61689, 1811, 37656, 106624, 107624, 95001, 29295, 23039, 126832, 103846, 15682, 117119, 30512, 32977, 76947, 102131, 109020, 104865, 10110, 75146, 107253, 7705, 30512, 15682, 121381, 31431, 124545, 105908, 27384, 102769, 36785, 106046, 61689, 1811, 27552, 244, 11881, 100, 26854, 110674, 50338, 108323, 30512, 105721, 78183, 117063, 30369, 16144, 126194, 5486, 118789, 27452, 30512, 20379, 39926, 21105, 96, 107277, 122984, 16995, 90620, 105898, 102518, 26854, 106046, 16995, 79721, 1811, 102433, 16556, 103350, 124299, 29295, 27704, 117864, 122416, 16144, 17039, 102800, 113727, 24273, 26854, 105879, 30591, 33121, 15682, 5486, 73361, 29504, 55031, 103350, 124299, 30046, 30512, 17129, 101832, 102532, 50338, 108323, 30512, 32018, 109315, 104309, 5486, 125821, 49792, 101908, 106084, 30369, 28542, 15682, 101182, 106046, 61689, 1811, 3624, 3481, 50, 16144, 113727, 24273, 29295, 86127, 116907, 101523, 227, 126235, 36785, 119150, 29295, 104604, 20230, 32018, 109315, 102040, 65575, 33710, 32977, 45736, 115737, 76947, 114604, 26854, 106046, 61689, 29295, 115515, 123090, 125494, 78434, 125939, 18904, 16144, 64810, 101198, 118567, 15682, 114715, 33420, 33208, 16937, 103424, 16556, 56051, 111329, 52118, 11144, 64780, 48154, 37689, 91774, 97135, 61689, 1811, 3624, 3481, 50, 16144, 44915, 16144, 119515, 105469, 30813, 19732, 5486, 110284, 112919, 103350, 107328, 29295, 103826, 104680, 26854, 102321, 103397, 55031, 112990, 5486, 27452, 116285, 5486, 85707, 104297, 47260, 61398, 19732, 16325, 104297, 47260, 61398, 104309, 20230, 17620, 107441, 118220, 28542, 30512, 58254, 252, 100472, 101772, 23951, 29295, 109215, 111769, 32149, 19732, 111800, 118219, 16325, 38641, 1811, 102494, 68408, 114615, 105284, 114556, 39926, 5486, 102494, 68408, 114615, 105284, 30512, 17297, 102639, 100604, 113009, 3624, 3481, 50, 16144, 103087, 35083, 33208, 29295, 109215, 126529, 111769, 32149, 102677, 37689, 91774, 15682, 115132, 114740, 72661, 102433, 72661, 101772, 23951, 114475, 107674, 24273, 55031, 114652, 20834, 84389, 33541, 119520, 124563, 112371, 58426, 105933, 91875, 50834, 101983, 110104, 32149, 102083, 116285, 120953, 16995, 100472, 77195, 29295, 112624, 28713, 84389, 104984, 3624, 3481, 50, 30512, 103350, 124299, 108608, 17792, 103306, 104736, 62004, 110071, 104865, 5486, 3624, 3481, 50, 16144, 44915, 55031, 39926, 122225, 29295, 111108, 102800, 55031, 26854, 105272, 106046, 61689, 1811, 27929, 32977, 27929, 32977, 122485, 16556, 103350, 124299, 54926, 106592, 101067, 23187, 109768, 107515, 55031, 1811, 80805, 84477, 118567, 122485, 15120, 107707, 48249, 98220, 30512, 104736, 62004, 5486, 124180 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 118816, 78698, 107290, 61689, 112479, 13177, 30832, 105888, 121507, 30512, 104405, 91774, 30369, 104865, 102677, 102446, 108710, 10110, 15120, 9080, 30832, 7705, 29295, 16325, 108968, 16556, 105721, 78183, 100472, 105879, 115847, 30512, 103350, 15682, 104356, 126365, 28713, 102518, 106046, 16995, 79721, 1811, 102131, 112990, 5486, 116414, 114447, 125231, 124233, 32149, 121118, 16144, 111769, 32149, 106046, 16995, 79721, 111329, 13177, 107430, 75267, 71289, 97518, 89046, 102923, 102332, 126250, 64810, 101198, 118567, 125523, 102532, 32977, 33503, 102334, 16995, 106046, 16995, 79721, 111329, 52118, 11144, 64780, 33334, 105324, 102802, 115962, 118145, 116414, 102416, 72661, 23039, 50834, 33541, 1811, 124180, 37087, 102351, 29295, 3624, 3481, 50, 16144, 22649, 104611, 30512, 55999, 19361, 103082, 104984, 89046, 120988, 29295, 102987, 17129, 104533, 91763, 61689, 112479, 13177, 105284, 99397, 20230, 104257, 121370, 113115, 106608, 109768, 90620, 50834, 5486, 97135, 16995, 79721, 1811, 3624, 3481, 50, 16144, 103424, 30813, 30512, 105755, 53283, 30369, 105908, 108608, 104466, 30926, 27452, 30512, 53283, 31431, 106956, 111329, 13177, 64810, 101198, 118567, 16556, 43167, 62004, 109115, 48, 36121, 120950, 102944, 30512, 103927, 103202, 122481, 16556, 74482, 9080, 91774, 110071, 104466, 39926, 108112, 30813, 104533, 103129, 32149, 104533, 114284, 79721, 111329, 52118, 11144, 64780, 111090, 125380, 97135, 61689, 1811, 114652, 101182, 105284, 99397, 114556, 39926, 15682, 6748, 20230, 19012, 110, 107121, 109768, 105898, 16995, 106046, 61689, 112479, 13177, 102208, 30590, 16144, 3624, 3481, 50, 16144, 64810, 101198, 118567, 103911, 23187, 104309, 30512, 103927, 103202, 122481, 16556, 55999, 19361, 39926, 10110, 8107, 56965, 103911, 23187, 103306, 7705, 33334, 53283, 117063, 16995, 90620, 105784, 102083, 16995, 26854, 11972, 106046, 16995, 79721, 111329, 52118, 11144, 64780, 112185, 46034, 106767, 111331, 127749, 16556, 5486, 8107, 56965, 30512, 33035, 39926, 16144, 82420, 55723, 15682, 121697, 124195, 108086, 107515, 1811, 102782, 15024, 117735, 124897, 1811, 105184, 111201, 48154, 37689, 91774, 16144, 33035, 111331, 24273, 29295, 110284, 30046, 125030, 76947, 15682, 110284, 15024, 126172, 115737, 104533, 91763, 61689, 105879, 108608, 103378, 82420, 55723, 30512, 103856, 47884, 20230, 121697, 108134, 104908, 109768, 105898, 16995, 106046, 61689, 112479, 13177, 110284, 25580, 15682, 44915, 29295, 113954, 108608, 32149, 127408, 16556, 56051, 29295, 5486, 78183, 107277, 126172, 47884, 122984, 39926, 108112, 30813, 76947, 33334, 32149, 102639, 16556, 108149, 16144, 22656, 20230, 102181, 102532, 105693, 104468, 108895, 95604, 100909, 103351, 104865, 106046, 105262, 105908, 121771, 98369, 30591, 76947, 5486, 110284, 39926, 57980, 102518, 106046, 16995, 79721, 1811, 60868, 109089, 112197, 110241, 85791, 30813, 10110, 102083, 76947, 103801, 76947, 104712, 104865, 26854, 7705, 32977, 111108, 21105, 243, 32977, 114652, 78183, 107277, 79721, 111329, 13177, 37271, 74482, 32977, 120321, 106307, 112535, 108931, 113245, 87447, 113497, 30512, 103192, 64121, 33541, 111329, 13177, 103350, 124299, 16556, 38129, 54926, 113009, 127359, 118331, 107908, 19732, 103350, 124299, 116825, 26854, 104699, 22656, 30512, 20834, 39926, 72315, 111329, 52118, 11144, 64780, 103350, 124299, 30512, 15024, 126172, 47884, 54926, 103846, 5486, 112825, 110904, 20230, 98499, 109315, 102944, 30512, 20834, 39926, 102717, 102800, 102677, 109335, 127164, 72661, 114652, 117952, 104028, 110792, 100909, 38641, 1811, 115507, 103988, 52414, 105408, 105459, 125334, 30813, 100604, 48249, 31431, 15682, 3624, 3481, 50, 30512, 123201, 117158, 56051, 22656, 30512, 109898, 54926, 109335, 103082, 107515, 1811, 112479, 13177, 48864, 108710, 64467, 106839, 31634, 108761, 10110, 37026, 80195, 112415, 7705, 19732, 3624, 3481, 50, 16144, 97518, 89046, 54926, 109544, 29295, 30591, 104984, 5486, 6748, 110162, 20230, 122060, 72661, 59983, 59983, 59983, 59983, 106046, 61689, 111329, 52118, 11144, 64780, 24, 9953, 16144, 119389, 104378, 124052, 16556, 13177, 37026, 80195, 112415, 19732, 3624, 3481, 50, 10646, 109853, 37026, 36668, 57207, 16073, 89154, 76428, 65299, 91062, 123410, 103911, 23187, 38641, 1811, 105721, 35287, 127564, 109544, 30512, 15120, 34048, 6748, 20230, 122060, 78434, 112479, 13177, 18, 107707, 105408, 33334, 127814, 33121, 103826, 16556, 56051, 1811, 64810, 101198, 96452, 38248, 226, 76947, 108112, 30813, 76947, 19361, 31431, 111108, 30297, 123231, 124845, 114363, 103722, 46729, 116749, 16144, 110284, 30512, 119010, 122808, 20230, 109768, 90620, 102532, 99750, 118835, 38641, 1811, 16995, 85791, 16995, 85791, 48864, 81219, 72342, 100481, 90620, 102532, 5486, 108031, 30591, 107118, 103350, 124299, 119627, 5486, 116690, 30046, 20230, 60868, 109089, 16144, 87177, 123410, 112973, 27384, 104721, 26854, 105879, 5486, 53508, 231, 104195, 38093, 110162, 71289, 31431, 106956, 38641, 1811, 48154, 50021, 111813, 107726, 100481, 90620, 47884, 32149, 110241, 33121, 107515, 1811, 57980, 85791, 106624, 33334, 124730, 78434, 1811, 43514, 26854, 64121, 20230, 119869, 103906, 113335, 71289, 57650, 109853, 53283, 31431, 112160, 59739, 15120, 59739, 103378, 16144, 48249, 98220, 30512, 53283, 76947, 60868, 109089, 20230, 33565, 117, 32149, 106824, 5486, 60868, 109089, 30512, 48864, 102802, 5486, 60868, 109089, 16144, 20119, 254, 103214, 64121, 115132, 64810, 22398, 73590, 30512, 39926, 5486, 53900, 103906, 113335, 71289, 57650, 104309, 102159, 103283, 16144, 46034, 25333, 30512, 103350, 124299, 109768, 47884, 100909, 108176, 102189, 26854, 11972, 106046, 16995, 79721, 1811, 102971, 91077, 114941, 103836, 102189, 107493, 5486, 60868, 109089, 30512, 119870, 17129, 105262, 32149, 119870, 17129, 119841, 32149, 16556, 37087, 61994, 108010, 30297, 26854, 106046, 61689, 119520, 5486, 17663, 48154, 16995, 53508, 231, 104195, 21105, 103, 16995, 102083, 76622, 107515, 101832, 1811, 71289, 112043, 122485, 104446, 91062, 37823, 36785, 111329, 13177, 25963, 21909, 34617, 8107, 122756, 108570, 103682, 102667, 16144, 17161, 47653, 107391, 115695, 22398, 72661, 127637, 101772, 23951, 114475, 76622, 79721, 109807, 110018, 15682, 37087, 119064, 27113, 16144, 121894, 16556, 48864, 102189, 105879, 114652, 78183, 124403, 17129, 103296, 56051, 119520, 5486, 110589, 88356, 27479, 101772, 23951, 30512, 30297, 105784, 118733, 5486, 105755, 113954, 54926, 105908, 106084, 79721, 1811, 112185, 114731, 102781, 101467, 107809, 72661, 3624, 3481, 50, 30512, 114652, 53283, 110104, 114754, 127181, 105879, 115847, 55031, 125821, 53508, 231, 104195, 56051, 16995, 106046, 61689, 111329, 13177, 101682, 114341, 42506, 29295, 45736, 47884, 111243, 57980, 16995, 105879, 5486, 101544, 106894, 105408, 16144, 87177, 29295, 104655, 105898, 16995, 111329, 52118, 11144, 64780, 88367, 26854, 48249, 31431, 110284, 126130, 124730, 56051, 16995, 106046, 61689, 112479, 13177, 105284, 107750, 16144, 82973, 29295, 105184, 33563, 116216, 108086, 116898, 85791, 16995, 85791, 26854, 105284, 99397, 125334, 38144, 5486, 53900, 77693, 113115, 39926, 31958, 102395, 107898, 103899, 58942, 16995, 90620, 50834, 5486, 105843, 103350, 56051, 44915, 103351, 111329, 13177, 114341, 104599, 20230, 105284, 99397, 56051, 103899, 58942, 29295, 9554, 105184, 16556, 104435, 31431, 30591, 16995, 17129, 16995, 103351, 31431, 54926, 104468, 57933, 62903, 20251, 65299, 20230, 103899, 58942, 101860, 123213, 46729, 20230, 114140, 104309, 39926, 111654, 102800, 119150, 1811, 49838, 16995, 112987, 110104, 55031, 111329, 52118, 11144, 64780, 112624, 102780, 109768, 90620, 105784, 113925, 29295, 103082, 101860, 5486, 102782, 15024, 117735, 57903, 105823, 104127, 56051, 123601, 46729, 20230, 114140, 29295, 109215, 26854, 110229, 15682, 114140, 15024, 5486, 108134, 15682, 6748, 50667, 16556, 122060, 78434, 112479, 13177, 22656, 16144, 117735, 29295, 109431, 102769, 16556, 103470, 107960, 108267, 21105, 234, 43514, 113637, 121894, 15682, 104575, 20230, 106839, 17701, 119607, 114267, 110018, 20230, 127177, 107430, 102351, 20230, 101682, 76622, 125639, 102204, 29295, 106956, 1811, 107624, 95001, 16144, 17161, 78244, 16144, 115552, 29295, 55999, 19361, 84389, 100604, 19732, 71493, 16073, 104774, 44971, 107446, 23897, 112772, 116166, 21105, 103, 16995, 55031, 111329, 52118, 11144, 64780, 107624, 95001, 75146, 107253, 16144, 115552, 30512, 118283, 39880, 122835, 25580, 105352, 104043, 114140, 54926, 109215, 115991, 79721, 1811, 110924, 29295, 16937, 114392, 103351, 113009, 107960, 108267, 30512, 104394, 102334, 105494, 32977, 57903, 5486, 95543, 66870, 30512, 126020, 33541, 1811, 125144, 117735, 71289, 98499, 64121, 108167, 20230, 47884, 16995, 23964, 229, 32938, 107294, 50834, 17129, 39926, 15682, 6748, 16556, 108134, 104908, 109768, 50834, 33541, 112479, 13177, 107253, 104874, 9458, 98897, 55723, 50667, 33334, 112008, 102800, 16325, 126920, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 1811, 100927, 102351, 116749, 16144, 43511, 107430, 104091, 120332, 32977, 110284, 39926, 102532, 5486, 43240, 119064, 17792, 5486, 43240, 119064, 80195, 75267, 124911, 20230, 3624, 3481, 50, 16144, 113727, 29295, 108285, 17129, 104984, 5486, 104575, 104378, 5486, 80539, 5486, 115612, 122521, 104378, 32977, 124500, 104533, 114284, 79721, 111329, 13177, 3624, 3481, 50, 109853, 85707, 107436, 16144, 101772, 23951, 16556, 56051, 29295, 5486, 53508, 231, 104195, 115717, 79721, 118855, 22656, 30512, 98499, 104127, 21105, 96, 107277, 105994, 107809, 20230, 102936, 19732, 15024, 104526, 108031, 106046, 61689, 1811, 3624, 3481, 50, 15682, 43511, 120332, 105838, 71289, 39880, 107420, 113335, 20230, 61056, 106616, 111769, 19732, 57903, 79721, 29295, 5486, 126920, 51330, 113727, 24273, 15682, 107693, 118816, 112391, 79721, 111329, 13177, 41920, 9080, 56965, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 1811, 118953, 107610, 113245, 102756, 105048, 32977, 45829, 67645, 102944, 91774, 24273, 30512, 48864, 104369, 101513, 38093, 115717, 5486, 105465, 106624, 48864, 103854, 79721, 111329, 13177, 68759, 125596, 124905, 105262, 38093, 75267, 29295, 106084, 104984, 57980, 16995, 125651, 1811, 3624, 3481, 50, 102494, 68408, 114615, 66378, 17599, 112, 115132, 114740, 16144, 126362, 50667, 32977, 96412, 107436, 5486, 105843, 103350, 39926, 102532, 57980, 102518, 38641, 1811, 41920, 18904, 30832, 32977, 101682, 114341, 56051, 16995, 119150, 104466, 54926, 102052, 5486, 91482, 68408, 90962, 16144, 44915, 50667, 83747, 21105, 248, 59739, 104721, 105262, 109215, 107407, 32149, 110241, 33121, 107515, 29295, 1811, 123357, 91077, 15682, 27384, 104721, 36785, 119150, 105879, 117119, 32149, 33334, 46034, 108044, 16995, 29295, 106084, 104984, 106046, 61689, 29295, 1811, 104398, 121867, 106613, 106382, 29295, 32149, 32149, 107462, 104533, 91763, 61689, 105879, 5486, 115251, 123357, 91077, 119279, 35330, 30512, 16995, 90620, 102532, 32977, 10110, 37271, 123470, 112415, 106382, 16144, 103846, 105352, 7705, 57980, 16995, 104023, 3443, 15, 35757, 16556, 57980, 117714, 77181, 122262, 127814, 33121, 103826, 16556, 56051, 127211, 104721, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 1811, 19732, 111243, 105843, 103350, 56051, 38093, 16556, 56051, 111329, 13177, 126920, 105284, 16144, 57980, 16995, 3624, 3481, 50, 102494, 68408, 114615, 103350, 124299, 30046, 5486, 113954, 30046, 30512, 108285, 102639, 100481, 105898, 16995, 19732, 78698, 107290, 33334, 110071, 105879, 30591, 104984, 5486, 101682, 114341, 106382, 15682, 45736, 115737, 114598, 32149, 17129, 78183, 100604, 16556, 5486, 125821, 124957, 112535, 22649, 105242, 90581, 107624, 95001, 5486, 103350, 124299, 103296, 64121, 120240, 111842, 48864, 103854, 30369, 114341, 108710, 38093, 20230, 17663, 125231, 36785, 106046, 61689, 1811, 51385, 87844, 20230, 13177, 53283, 100472, 59739, 123731, 10646, 16556, 103350, 124299, 54926, 17792, 10110, 86127, 32977, 96412, 107436, 7705, 30512, 115079, 126172, 112997, 29220, 120937, 123253, 32149, 109900, 15682, 113702, 103306, 102494, 68408, 114615, 105284, 30512, 17297, 102639, 30369, 103378, 36785, 106046, 61689, 29295, 9174, 37271, 18904, 5486, 118953, 107610, 16144, 87177, 15024, 40862, 114774, 105284, 107750, 72661, 87177, 104482, 20230, 115442, 100472, 104468, 5486, 33655, 78183, 115032, 102158, 106808, 109853, 104405, 50338, 13393, 230, 9458, 23187, 104577, 54926, 32149, 102677, 28542, 103351, 32149, 106046, 61689, 1811, 37656, 106624, 107624, 95001, 29295, 23039, 126832, 103846, 15682, 117119, 30512, 32977, 76947, 102131, 109020, 104865, 10110, 75146, 107253, 7705, 30512, 15682, 121381, 31431, 124545, 105908, 27384, 102769, 36785, 106046, 61689, 1811, 27552, 244, 11881, 100, 26854, 110674, 50338, 108323, 30512, 105721, 78183, 117063, 30369, 16144, 126194, 5486, 118789, 27452, 30512, 20379, 39926, 21105, 96, 107277, 122984, 16995, 90620, 105898, 102518, 26854, 106046, 16995, 79721, 1811, 102433, 16556, 103350, 124299, 29295, 27704, 117864, 122416, 16144, 17039, 102800, 113727, 24273, 26854, 105879, 30591, 33121, 15682, 5486, 73361, 29504, 55031, 103350, 124299, 30046, 30512, 17129, 101832, 102532, 50338, 108323, 30512, 32018, 109315, 104309, 5486, 125821, 49792, 101908, 106084, 30369, 28542, 15682, 101182, 106046, 61689, 1811, 3624, 3481, 50, 16144, 113727, 24273, 29295, 86127, 116907, 101523, 227, 126235, 36785, 119150, 29295, 104604, 20230, 32018, 109315, 102040, 65575, 33710, 32977, 45736, 115737, 76947, 114604, 26854, 106046, 61689, 29295, 115515, 123090, 125494, 78434, 125939, 18904, 16144, 64810, 101198, 118567, 15682, 114715, 33420, 33208, 16937, 103424, 16556, 56051, 111329, 52118, 11144, 64780, 48154, 37689, 91774, 97135, 61689, 1811, 3624, 3481, 50, 16144, 44915, 16144, 119515, 105469, 30813, 19732, 5486, 110284, 112919, 103350, 107328, 29295, 103826, 104680, 26854, 102321, 103397, 55031, 112990, 5486, 27452, 116285, 5486, 85707, 104297, 47260, 61398, 19732, 16325, 104297, 47260, 61398, 104309, 20230, 17620, 107441, 118220, 28542, 30512, 58254, 252, 100472, 101772, 23951, 29295, 109215, 111769, 32149, 19732, 111800, 118219, 16325, 38641, 1811, 102494, 68408, 114615, 105284, 114556, 39926, 5486, 102494, 68408, 114615, 105284, 30512, 17297, 102639, 100604, 113009, 3624, 3481, 50, 16144, 103087, 35083, 33208, 29295, 109215, 126529, 111769, 32149, 102677, 37689, 91774, 15682, 115132, 114740, 72661, 102433, 72661, 101772, 23951, 114475, 107674, 24273, 55031, 114652, 20834, 84389, 33541, 119520, 124563, 112371, 58426, 105933, 91875, 50834, 101983, 110104, 32149, 102083, 116285, 120953, 16995, 100472, 77195, 29295, 112624, 28713, 84389, 104984, 3624, 3481, 50, 30512, 103350, 124299, 108608, 17792, 103306, 104736, 62004, 110071, 104865, 5486, 3624, 3481, 50, 16144, 44915, 55031, 39926, 122225, 29295, 111108, 102800, 55031, 26854, 105272, 106046, 61689, 1811, 27929, 32977, 27929, 32977, 122485, 16556, 103350, 124299, 54926, 106592, 101067, 23187, 109768, 107515, 55031, 1811, 80805, 84477, 118567, 122485, 15120, 107707, 48249, 98220, 30512, 104736, 62004, 5486, 124180 ]
[ 16556, 108975, 42016, 39926, 5486, 3624, 3481, 50, 16144, 22649, 104611, 20230, 102867, 33503, 39926, 115924, 58942, 101860, 95543, 66870, 54926, 105908, 109215, 26854, 105272, 106046, 61689, 1811, 123011, 62004, 33541, 19732, 5486, 102494, 68408, 114615, 105284, 30512, 105184, 33563, 109768, 47884, 113009, 5486, 47406, 104812, 100, 26854, 102944, 30512, 47406, 104812, 100, 20230, 108044, 58942, 100481, 47884, 100909, 126036, 5486, 16937, 108038, 26854, 102944, 30512, 115924, 58942, 101860, 95543, 66870, 5486, 111800, 110322, 109768, 47884, 106592, 109768, 105898, 16995, 106046, 61689, 109807, 124122, 53508, 231, 104195, 38093, 71289, 30926, 27452, 125053, 16144, 75267, 30512, 113801, 106307, 50834, 102332, 76622, 100481, 118145, 106046, 61689, 112479, 13177, 691, 25939, 16144, 101772, 23951, 38093, 105352, 110284, 127145, 1811, 16, 9080, 30832, 74482, 103268, 21909, 17, 9080, 113230, 103268, 112649, 107441, 5486, 91482, 68408, 90962, 124905, 100472, 118789, 9554, 107624, 95001, 10110, 39880, 64810, 22398, 73590, 7705, 29295, 19000, 31431, 79721, 29295, 5486, 3624, 3481, 50, 77181, 39880, 64810, 22398, 73590, 58426, 102944, 16144, 115552, 29295, 691, 25939, 107118, 108010, 30297, 109335, 114652, 113954, 125545, 1811, 123682, 32977, 112160, 24273, 16556, 5486, 101772, 23951, 38093, 102677, 16325, 77181, 5486, 91482, 68408, 90962, 107809, 16556, 110371, 123120, 71289, 78244, 102158, 107407, 55031, 118283, 39880, 29295, 17, 103195, 110162, 16, 103195, 123160, 31958, 105184, 26854, 50338, 103899, 107407, 24273, 29295, 101682, 114341, 30046, 125030, 76947, 15682, 78183, 107277, 126172, 16995, 106046, 61689, 118855, 5486, 102446, 108710, 11883, 16144, 91482, 68408, 90962, 109853, 32977, 107624, 95001, 29295, 31958, 105184, 20230, 108608, 102944, 16144, 118881, 29295, 78183, 107277, 126172, 102518, 106046, 61689, 59459, 115364, 59739, 107674, 7705, 118283, 39880, 122835, 29295, 26854, 112371, 56965, 108010, 103836, 104865, 104309, 111329, 52118, 11144, 64780, 48154, 103129, 78244, 97135, 61689, 1811, 106482, 66201, 71289, 107624, 95001, 111831, 30512, 23226, 106594, 109768, 105898, 16995, 106046, 61689, 1811, 112479, 13177, 15120, 59739, 15120, 118821, 100909, 109853, 122617, 122984, 127242, 36785, 106046, 100472, 1811, 108044, 78183, 112586, 47884, 102518, 1811, 3624, 3481, 50, 16144, 17663, 81219, 114420, 113727, 24273, 30512, 108285, 109315, 103846, 105352, 112160, 59739, 15120, 118821, 11883, 102158, 16144, 115552, 30512, 21105, 96, 107277, 23187, 104577, 39926, 55999, 33035, 113954, 20230, 21105, 103, 16995, 102083, 124324, 106046, 100472, 66327, 123120, 15682, 78244, 102158, 32977, 96412, 104004, 66383, 95604, 104468, 2243, 112, 127842, 22957, 104435, 15024, 5486, 75267, 28190, 113468, 122984, 16144, 112690, 16144, 115552, 29295, 124500, 103836, 104466, 112391, 28713, 118855, 5486, 122984, 29295, 74482, 122382, 29295, 43240, 47884, 38144, 107960, 108267, 30512, 104394, 16995, 101732, 1811, 17792, 77693, 108422, 33121, 16556, 50338, 13393, 230, 29295, 108010, 30297, 102677, 105879, 30591, 104984, 5486, 50, 2599, 24540, 15682, 33655, 119841, 111769, 32149, 125939, 123090, 125494, 78434, 111329, 52118, 11144, 64780, 105184, 111201, 5486, 27452, 116285, 40474, 91875, 104873, 64531, 120332, 105838, 103306, 13177, 123120, 24273, 105838, 66383, 13177, 78244, 102158, 24273, 105838, 66383, 112844, 126513, 123120, 20230, 78244, 102158, 15682, 96412, 123606, 107515, 29295, 10110, 25580, 57207, 100560, 250, 33710, 19732, 57207, 100560, 250, 114615, 108010, 119178, 118220, 28542, 107407, 103846, 65459, 38093, 87177, 80805, 84477, 96452, 115247, 13177, 60882, 16, 13, 17, 119767, 38093, 9554, 123120, 30512, 106839, 47884, 113009, 5486, 80805, 84477, 118567, 29295, 123604, 103306, 20379, 56051, 123120, 124905, 30297, 10646, 15682, 106222, 9554, 123120, 16144, 114181, 105085, 48864, 108710, 29295, 108608, 111201, 118220, 28542, 107407, 103846, 5486, 123120, 20230, 78244, 102158, 123120, 32977, 96412, 17129, 104028, 104309, 5486, 75267, 28190, 113468, 112361, 13177, 123120, 66383, 95604, 112690, 16556, 44915, 29295, 124500, 76947, 61689, 113637, 115195, 111331, 112690, 16144, 98499, 64121, 108167, 24273, 20230, 5486, 124858, 53283, 109375, 71289, 17161, 101171, 230, 16144, 117375, 107407, 120266, 114341, 104599, 29295, 95221, 122382, 100481, 104435, 105908, 5486, 30297, 17129, 47884, 33334, 108044, 58942, 103082, 104435, 114667, 36785, 106046, 61689, 1811, 48154, 64467, 112419, 112197, 32149, 102639, 16556, 95221, 109669, 47884, 105908, 103082, 79721, 1811, 97135, 16995, 79721, 112479, 13177, 44915, 16144, 119515, 105469, 30813, 55031, 113727, 104533, 5486, 108031, 114715, 82973, 30512, 18655, 76947, 15120, 59739, 15120, 118821, 111831, 30512, 104257, 121370, 20230, 50520, 111, 106624, 87177, 39926, 111654, 67016, 100472, 118855, 5486, 18, 17620, 56965, 16144, 91482, 68408, 90962, 124905, 76947, 114652, 113954, 103082, 126386, 107624, 95001, 111831, 16556, 118219, 105242, 54926, 104468, 43568, 115552, 111769, 32149, 106046, 100472, 111329, 52118, 11144, 64780, 61826, 43032, 16144, 121640, 5486, 47260, 61398, 17620, 76622, 123410, 104309, 39926, 118220, 28542, 30512, 58254, 252, 31431, 5486, 122984, 20230, 114392, 26854, 82973, 30512, 18655, 104028, 104466, 56051, 16995, 106046, 61689, 1811, 30926, 112772, 107624, 95001, 111831, 16144, 115552, 30512, 114392, 20230, 114140, 15024, 5486, 115552, 101182, 102944, 20230, 56051, 16995, 106046, 61689, 112479, 13177, 118283, 39880, 122835, 103350, 108710, 15682, 19732, 111243, 53508, 231, 104195, 115717, 79721, 1811, 90620, 121247, 30297, 118283, 39880, 122835, 111831, 5486, 11883, 107991, 91482, 68408, 90962, 106482, 66201, 16144, 7305, 253, 103868, 30512, 39926, 115515, 74482, 85707, 64209, 112919, 24273, 72661, 108167, 103214, 64121, 126172, 47884, 84389, 104984, 5486, 57980, 16995, 104865, 26854, 106046, 16995, 79721, 111329, 13177, 118283, 39880, 122835, 102446, 108710, 16556, 108048, 108422, 33121, 16144, 30926, 27452, 30512, 110794, 108385, 104028, 19732, 57980, 117714, 77181, 106046, 61689, 111329, 13177, 16995, 85791, 103171, 107430, 104091, 120332, 19732, 53283, 31431, 40862, 107290, 57980, 102518, 38641, 1811, 110589, 48864, 102189, 106592, 109095, 108710, 39926, 127862, 48864, 23538, 117758, 103350, 124299, 20230, 21990, 32149, 56051, 16995, 38641, 1811, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 111329, 13177, 117896, 16144, 95543, 106608, 30512, 104398, 71289, 111201, 91774, 100481, 90620, 50834, 106272, 114341, 104577, 30512, 109768, 90620, 50834, 79721, 1811, 3624, 3481, 50, 16144, 20119, 254, 103214, 64121, 16556, 16995, 85791, 16995, 85791, 26854, 106592, 64531, 22649, 109768, 76622, 104533, 5486, 115364, 85701, 117758, 104378, 20230, 21990, 32149, 109768, 76622, 104533, 114284, 79721, 111329, 13177, 118953, 107610, 102756, 105048, 29295, 41920, 9080, 56965, 105693, 105879, 117119, 27479, 32977, 126419, 20230, 87177, 15024, 40862, 30297, 105908, 106084, 38144, 107751, 16144, 104575, 16144, 103826, 45829, 104309, 32977, 104655, 107441, 57980, 102518, 38641, 111329, 13177, 110284, 30046, 13372, 107218, 123, 15682, 5486, 113164, 102663, 84477, 11883, 112810, 107118, 103283, 20230, 111654, 102800, 111329, 52118, 11144, 64780, 121568, 108134, 30512, 18904, 110226, 54926, 103846, 113164, 102663, 84477, 16144, 118124, 28190, 116446, 61689, 1811, 48154, 113954, 72315, 112479, 13177, 102756, 105048, 102895, 103830, 15682, 103350, 124299, 103082, 38144, 57980, 102518, 38641, 1811, 105350, 16144, 86867, 29295, 114715, 110596, 102518, 105879, 5486, 108031, 114715, 5486, 118953, 107610, 29295, 123011, 17129, 76947, 106084, 30369, 105933, 117501, 118816, 71289, 31431, 126172, 102518, 107188, 106046, 61689, 111329, 13177, 108695, 20230, 110794, 112454, 31431, 5486, 124180, 32943, 16556, 55999, 19361, 56051, 16995, 106046, 61689, 1811, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 1811, 37087, 104674, 113115, 15024, 13177, 95221, 108176, 33334, 45829, 98369, 117503, 104405, 95604, 110229, 29295, 95221, 108176, 104865, 16144, 113164, 102663, 84477, 30512, 9039, 8107, 118935, 31431, 5486, 125053, 32977, 39926, 50834, 79721, 109807, 103984, 28542, 71289, 110366, 28190, 30512, 3624, 3481, 50, 16144, 118881, 55031, 78698, 107290, 18655, 114598, 33334, 110241, 85791, 16995, 106046, 16995, 79721, 1811, 102321, 75267, 16144, 33563, 101662, 101559, 121944, 95221, 108176, 28542, 102677, 104468, 123334, 15682, 31431, 40474, 91875, 104873, 64531, 71289, 78244, 102158, 28190, 55031, 50667, 5486, 103350, 104654, 16556, 15017, 231, 105262, 105879, 5486, 127298, 28190, 55031, 15017, 231, 105262, 105755, 78183, 107277, 126172, 47884, 5486, 105755, 122521, 20230, 102971, 102802, 59739, 47884, 106046, 16995, 79721, 111329, 13177, 108008, 20230, 27384, 102769, 26854, 113727, 24273, 116787, 127862, 9080, 56965, 77181, 48864, 102802, 50834, 110615, 115789, 121771, 98369, 105693, 105879, 115515, 74482, 122270, 102987, 47884, 48864, 104369, 105908, 103082, 104984, 106046, 61689, 29295, 5486, 108526, 108941, 67075, 33208, 56051, 31431, 54926, 118733, 114181, 105085, 10110, 39880, 64810, 22398, 73590, 7705, 71289, 107624, 95001, 29295, 118220, 28542, 33208, 15024, 126172, 115737, 31431, 5486, 45829, 67645, 102944, 102404, 104067, 30512, 108399, 112535, 15017, 231, 58942, 113096, 17663, 102677, 103984, 28542, 29295, 91774, 21388, 16995, 29295, 43514, 108176, 102677, 28542, 30512, 5486, 102971, 91077, 15682, 100927, 104599, 116907, 29295, 103350, 124299, 16144, 75267, 16556, 95221, 116825, 76622, 5486, 95221, 109669, 16995, 100481, 107188, 118145, 16995, 124324, 105272, 19732, 23226, 107436, 114284, 79721, 1811, 45829, 67645, 32977, 15682, 41642, 111331, 17792, 19732, 126419, 20230, 13153, 101544, 102404, 104067, 54926, 105272, 106046, 61689, 111329, 114950, 5486, 43240, 119064, 99750, 118835, 71289, 8239, 112, 117714, 100909, 81219, 30512, 115962, 50834, 79721, 1811, 97135, 16995, 79721, 1811, 48154, 37689, 91774, 30512, 32977, 19732, 20230, 23226, 106594, 20230, 115619, 62004, 100481, 50834, 33541, 105879, 37271, 74482, 107173, 57980, 85791, 106624, 33334, 124730, 78434, 1811, 128001, 128000, 51330, 77219, 77181, 36896, 7072, 66383, 13177, 98374, 117503, 121953, 30512, 17620, 107277, 126172, 47884, 112825, 110904, 20230, 50338, 108323, 78434, 9174, 567, 45631, 7072, 66383, 15682, 5380, 13177, 7072, 66383, 15682, 117119, 32149, 126694, 30369, 5486, 105107, 67178, 54926, 5486, 106391, 13153, 54926, 102677, 115552, 16144, 91875, 113124, 38641, 1811, 53953, 126694, 30369, 102677, 23039, 101399, 71289, 103188, 39607, 30512, 64467, 17663, 107803, 103732, 47884, 33655, 123671, 33541, 9174, 567, 45631, 98374, 66383, 15682, 95532, 13177, 98374, 66383, 15682, 117119, 32149, 30512, 21990, 106518, 54926, 5486, 105107, 67178, 54926, 5486, 106518, 20834, 54926, 102677, 115552, 16144, 91875, 113124, 38641, 1811, 66378, 20230, 122333, 16144, 102944, 126694, 31431, 121406, 107803, 71289, 5486, 47043, 71289, 106942, 30512, 21990, 64121, 121406, 107803, 20230, 33655, 123671, 33541, 9174, 567, 45631, 7072, 66383, 13177, 98374, 117503, 121953, 198, 13177, 7072, 66383, 13177, 98374, 10646, 15682, 5486, 108729, 9554, 102052, 112361, 105933, 115552, 114792, 76947, 61689, 29295, 5486, 50034, 115590, 26854, 121953, 115991, 33541, 1811, 27452, 116285, 36896, 7072, 10646, 15682, 102159, 114754, 46034, 19967, 101275, 16556, 127091, 126694, 30369, 107803, 71289, 5486, 53953, 105284, 109904, 102944, 126694, 30369, 107803, 20230, 38129, 107001, 105908, 127181, 38641, 115397, 24273, 36896, 98374, 10646, 15682, 49792, 75267, 71289, 114435, 29295, 122333, 16144, 102944, 126694, 31431, 121406, 107803, 71289, 5486, 47043, 71289, 106942, 30512, 21990, 64121, 121406, 107803, 20230, 38129, 107001, 105908, 127181, 38641, 9174, 567, 45631, 7072, 117503, 27452, 17161, 198, 88852, 20230, 13177, 7072, 117503, 27452, 17161, 30512, 16995, 47884, 59739, 32149, 126362, 78434, 9174, 16, 13, 358, 690, 1304, 264, 19692, 369, 856, 13219, 753, 15553, 4717, 627, 17, 13, 1283, 1903, 264, 2007, 1701, 47658, 7732, 627, 567, 45631, 98374, 117503, 27452, 17161, 198, 88852, 20230, 13177, 98374, 117503, 27452, 17161, 30512, 16995, 47884, 59739, 32149, 126362, 78434, 9174, 16, 13, 578, 8803, 19159, 220, 16, 11, 931, 9515, 824, 1938, 627, 567, 220, 123011, 62004, 198, 37271, 18904, 15682, 36896, 7072, 66383, 13177, 98374, 10646, 109853, 122984, 121256, 66327, 7072, 66383, 15682, 127091, 126694, 30369, 100909, 71289, 106391, 13153, 54926, 106592, 64467, 15024, 36896, 98374, 66383, 15682, 127091, 30512, 21990, 106518, 56051, 31431, 105107, 67178, 56051, 31431, 54926, 106592, 64467, 78434, 1811, 50034, 115590, 26854, 121953, 115991, 33541, 29295, 5486, 108729, 9554, 102052, 112361, 105933, 115552, 114792, 76947, 61689, 1811, 128001, 128000, 1569, 109, 20713, 198, 124121, 112535, 91774, 28713, 107803, 5486, 126326, 15682, 56051, 24273, 29295, 126521, 112130, 95532, 116531, 20713, 198, 67645, 112384, 72661, 106391, 16995, 107515, 9174, 126326, 15682, 51330, 101083, 124911, 104067, 29295, 104662, 109013, 114305, 20230, 103188, 105557, 107515, 1811, 67645, 120950, 114305, 127303, 114598, 106116, 106594, 15024, 109161, 15024, 15682, 114516, 29295, 122225, 127145, 1811, 124121, 117145, 16144, 102616, 102052, 116690, 124897, 9174, 27452, 116285, 112160, 101908, 43240, 109297, 16144, 29504, 32977, 57903, 33541, 1811, 8107, 106036, 95, 111848, 44416, 48249, 32977, 57903, 33541, 29295, 106116, 106594, 15024, 109161, 15024, 15682, 114516, 16144, 122225, 38641, 9174, 1569, 109, 25963, 198, 124121, 112535, 91774, 38144, 5486, 126326, 21105, 103, 47884, 38144, 110482, 30369, 30926, 15682, 57903, 33541, 32149, 95532, 116531, 25963, 198, 124897, 109807, 114754, 77693, 81219, 103424, 118145, 109606, 15682, 124897, 9174, 92877, 102334, 126101, 15973, 224, 106624, 109020, 5486, 102083, 100472, 109606, 15682, 127298, 17905, 16144, 109606, 38641, 1811, 127298, 28190, 16144, 109606, 15682, 77693, 108422, 33121, 20230, 122225, 54926, 67016, 124897, 9174, 119627, 5486, 124121, 109904, 122225, 29295, 109215, 26854, 126465, 32977, 57903, 33541, 9174, 27452, 116285, 5486, 114516, 102052, 103188, 86436, 20230, 51330, 101083, 20230, 21990, 17129, 103468, 17792, 21990, 115991, 33541, 109807, 125344, 126326, 104654, 16556, 64209, 20230, 102987, 16995, 114218, 30512, 47000, 107441, 103801, 16995, 106116, 114218, 29295, 101860, 104043, 33420, 58942, 101860, 20230, 37689, 109375, 16144, 105665, 20230, 108618, 103836, 114754, 61689, 9174, 102131, 56051, 114754, 17039, 106624, 51330, 101083, 20230, 21990, 17129, 104028, 19732, 5486, 126326, 54926, 39177, 71289, 5486, 126326, 39926, 55031, 106116, 125344, 127298, 29295, 7518, 99, 76947, 121453, 102800, 126326, 29295, 102147, 226, 30832, 110276, 31431, 39926, 5486, 103188, 21403, 108, 20230, 107202, 15024, 104004, 114754, 20834, 33541, 9174, 108895, 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 ]
[ 16556, 108975, 42016, 39926, 5486, 3624, 3481, 50, 16144, 22649, 104611, 20230, 102867, 33503, 39926, 115924, 58942, 101860, 95543, 66870, 54926, 105908, 109215, 26854, 105272, 106046, 61689, 1811, 123011, 62004, 33541, 19732, 5486, 102494, 68408, 114615, 105284, 30512, 105184, 33563, 109768, 47884, 113009, 5486, 47406, 104812, 100, 26854, 102944, 30512, 47406, 104812, 100, 20230, 108044, 58942, 100481, 47884, 100909, 126036, 5486, 16937, 108038, 26854, 102944, 30512, 115924, 58942, 101860, 95543, 66870, 5486, 111800, 110322, 109768, 47884, 106592, 109768, 105898, 16995, 106046, 61689, 109807, 124122, 53508, 231, 104195, 38093, 71289, 30926, 27452, 125053, 16144, 75267, 30512, 113801, 106307, 50834, 102332, 76622, 100481, 118145, 106046, 61689, 112479, 13177, 691, 25939, 16144, 101772, 23951, 38093, 105352, 110284, 127145, 1811, 16, 9080, 30832, 74482, 103268, 21909, 17, 9080, 113230, 103268, 112649, 107441, 5486, 91482, 68408, 90962, 124905, 100472, 118789, 9554, 107624, 95001, 10110, 39880, 64810, 22398, 73590, 7705, 29295, 19000, 31431, 79721, 29295, 5486, 3624, 3481, 50, 77181, 39880, 64810, 22398, 73590, 58426, 102944, 16144, 115552, 29295, 691, 25939, 107118, 108010, 30297, 109335, 114652, 113954, 125545, 1811, 123682, 32977, 112160, 24273, 16556, 5486, 101772, 23951, 38093, 102677, 16325, 77181, 5486, 91482, 68408, 90962, 107809, 16556, 110371, 123120, 71289, 78244, 102158, 107407, 55031, 118283, 39880, 29295, 17, 103195, 110162, 16, 103195, 123160, 31958, 105184, 26854, 50338, 103899, 107407, 24273, 29295, 101682, 114341, 30046, 125030, 76947, 15682, 78183, 107277, 126172, 16995, 106046, 61689, 118855, 5486, 102446, 108710, 11883, 16144, 91482, 68408, 90962, 109853, 32977, 107624, 95001, 29295, 31958, 105184, 20230, 108608, 102944, 16144, 118881, 29295, 78183, 107277, 126172, 102518, 106046, 61689, 59459, 115364, 59739, 107674, 7705, 118283, 39880, 122835, 29295, 26854, 112371, 56965, 108010, 103836, 104865, 104309, 111329, 52118, 11144, 64780, 48154, 103129, 78244, 97135, 61689, 1811, 106482, 66201, 71289, 107624, 95001, 111831, 30512, 23226, 106594, 109768, 105898, 16995, 106046, 61689, 1811, 112479, 13177, 15120, 59739, 15120, 118821, 100909, 109853, 122617, 122984, 127242, 36785, 106046, 100472, 1811, 108044, 78183, 112586, 47884, 102518, 1811, 3624, 3481, 50, 16144, 17663, 81219, 114420, 113727, 24273, 30512, 108285, 109315, 103846, 105352, 112160, 59739, 15120, 118821, 11883, 102158, 16144, 115552, 30512, 21105, 96, 107277, 23187, 104577, 39926, 55999, 33035, 113954, 20230, 21105, 103, 16995, 102083, 124324, 106046, 100472, 66327, 123120, 15682, 78244, 102158, 32977, 96412, 104004, 66383, 95604, 104468, 2243, 112, 127842, 22957, 104435, 15024, 5486, 75267, 28190, 113468, 122984, 16144, 112690, 16144, 115552, 29295, 124500, 103836, 104466, 112391, 28713, 118855, 5486, 122984, 29295, 74482, 122382, 29295, 43240, 47884, 38144, 107960, 108267, 30512, 104394, 16995, 101732, 1811, 17792, 77693, 108422, 33121, 16556, 50338, 13393, 230, 29295, 108010, 30297, 102677, 105879, 30591, 104984, 5486, 50, 2599, 24540, 15682, 33655, 119841, 111769, 32149, 125939, 123090, 125494, 78434, 111329, 52118, 11144, 64780, 105184, 111201, 5486, 27452, 116285, 40474, 91875, 104873, 64531, 120332, 105838, 103306, 13177, 123120, 24273, 105838, 66383, 13177, 78244, 102158, 24273, 105838, 66383, 112844, 126513, 123120, 20230, 78244, 102158, 15682, 96412, 123606, 107515, 29295, 10110, 25580, 57207, 100560, 250, 33710, 19732, 57207, 100560, 250, 114615, 108010, 119178, 118220, 28542, 107407, 103846, 65459, 38093, 87177, 80805, 84477, 96452, 115247, 13177, 60882, 16, 13, 17, 119767, 38093, 9554, 123120, 30512, 106839, 47884, 113009, 5486, 80805, 84477, 118567, 29295, 123604, 103306, 20379, 56051, 123120, 124905, 30297, 10646, 15682, 106222, 9554, 123120, 16144, 114181, 105085, 48864, 108710, 29295, 108608, 111201, 118220, 28542, 107407, 103846, 5486, 123120, 20230, 78244, 102158, 123120, 32977, 96412, 17129, 104028, 104309, 5486, 75267, 28190, 113468, 112361, 13177, 123120, 66383, 95604, 112690, 16556, 44915, 29295, 124500, 76947, 61689, 113637, 115195, 111331, 112690, 16144, 98499, 64121, 108167, 24273, 20230, 5486, 124858, 53283, 109375, 71289, 17161, 101171, 230, 16144, 117375, 107407, 120266, 114341, 104599, 29295, 95221, 122382, 100481, 104435, 105908, 5486, 30297, 17129, 47884, 33334, 108044, 58942, 103082, 104435, 114667, 36785, 106046, 61689, 1811, 48154, 64467, 112419, 112197, 32149, 102639, 16556, 95221, 109669, 47884, 105908, 103082, 79721, 1811, 97135, 16995, 79721, 112479, 13177, 44915, 16144, 119515, 105469, 30813, 55031, 113727, 104533, 5486, 108031, 114715, 82973, 30512, 18655, 76947, 15120, 59739, 15120, 118821, 111831, 30512, 104257, 121370, 20230, 50520, 111, 106624, 87177, 39926, 111654, 67016, 100472, 118855, 5486, 18, 17620, 56965, 16144, 91482, 68408, 90962, 124905, 76947, 114652, 113954, 103082, 126386, 107624, 95001, 111831, 16556, 118219, 105242, 54926, 104468, 43568, 115552, 111769, 32149, 106046, 100472, 111329, 52118, 11144, 64780, 61826, 43032, 16144, 121640, 5486, 47260, 61398, 17620, 76622, 123410, 104309, 39926, 118220, 28542, 30512, 58254, 252, 31431, 5486, 122984, 20230, 114392, 26854, 82973, 30512, 18655, 104028, 104466, 56051, 16995, 106046, 61689, 1811, 30926, 112772, 107624, 95001, 111831, 16144, 115552, 30512, 114392, 20230, 114140, 15024, 5486, 115552, 101182, 102944, 20230, 56051, 16995, 106046, 61689, 112479, 13177, 118283, 39880, 122835, 103350, 108710, 15682, 19732, 111243, 53508, 231, 104195, 115717, 79721, 1811, 90620, 121247, 30297, 118283, 39880, 122835, 111831, 5486, 11883, 107991, 91482, 68408, 90962, 106482, 66201, 16144, 7305, 253, 103868, 30512, 39926, 115515, 74482, 85707, 64209, 112919, 24273, 72661, 108167, 103214, 64121, 126172, 47884, 84389, 104984, 5486, 57980, 16995, 104865, 26854, 106046, 16995, 79721, 111329, 13177, 118283, 39880, 122835, 102446, 108710, 16556, 108048, 108422, 33121, 16144, 30926, 27452, 30512, 110794, 108385, 104028, 19732, 57980, 117714, 77181, 106046, 61689, 111329, 13177, 16995, 85791, 103171, 107430, 104091, 120332, 19732, 53283, 31431, 40862, 107290, 57980, 102518, 38641, 1811, 110589, 48864, 102189, 106592, 109095, 108710, 39926, 127862, 48864, 23538, 117758, 103350, 124299, 20230, 21990, 32149, 56051, 16995, 38641, 1811, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 111329, 13177, 117896, 16144, 95543, 106608, 30512, 104398, 71289, 111201, 91774, 100481, 90620, 50834, 106272, 114341, 104577, 30512, 109768, 90620, 50834, 79721, 1811, 3624, 3481, 50, 16144, 20119, 254, 103214, 64121, 16556, 16995, 85791, 16995, 85791, 26854, 106592, 64531, 22649, 109768, 76622, 104533, 5486, 115364, 85701, 117758, 104378, 20230, 21990, 32149, 109768, 76622, 104533, 114284, 79721, 111329, 13177, 118953, 107610, 102756, 105048, 29295, 41920, 9080, 56965, 105693, 105879, 117119, 27479, 32977, 126419, 20230, 87177, 15024, 40862, 30297, 105908, 106084, 38144, 107751, 16144, 104575, 16144, 103826, 45829, 104309, 32977, 104655, 107441, 57980, 102518, 38641, 111329, 13177, 110284, 30046, 13372, 107218, 123, 15682, 5486, 113164, 102663, 84477, 11883, 112810, 107118, 103283, 20230, 111654, 102800, 111329, 52118, 11144, 64780, 121568, 108134, 30512, 18904, 110226, 54926, 103846, 113164, 102663, 84477, 16144, 118124, 28190, 116446, 61689, 1811, 48154, 113954, 72315, 112479, 13177, 102756, 105048, 102895, 103830, 15682, 103350, 124299, 103082, 38144, 57980, 102518, 38641, 1811, 105350, 16144, 86867, 29295, 114715, 110596, 102518, 105879, 5486, 108031, 114715, 5486, 118953, 107610, 29295, 123011, 17129, 76947, 106084, 30369, 105933, 117501, 118816, 71289, 31431, 126172, 102518, 107188, 106046, 61689, 111329, 13177, 108695, 20230, 110794, 112454, 31431, 5486, 124180, 32943, 16556, 55999, 19361, 56051, 16995, 106046, 61689, 1811, 19361, 31431, 111108, 30297, 77121, 16995, 79721, 1811, 37087, 104674, 113115, 15024, 13177, 95221, 108176, 33334, 45829, 98369, 117503, 104405, 95604, 110229, 29295, 95221, 108176, 104865, 16144, 113164, 102663, 84477, 30512, 9039, 8107, 118935, 31431, 5486, 125053, 32977, 39926, 50834, 79721, 109807, 103984, 28542, 71289, 110366, 28190, 30512, 3624, 3481, 50, 16144, 118881, 55031, 78698, 107290, 18655, 114598, 33334, 110241, 85791, 16995, 106046, 16995, 79721, 1811, 102321, 75267, 16144, 33563, 101662, 101559, 121944, 95221, 108176, 28542, 102677, 104468, 123334, 15682, 31431, 40474, 91875, 104873, 64531, 71289, 78244, 102158, 28190, 55031, 50667, 5486, 103350, 104654, 16556, 15017, 231, 105262, 105879, 5486, 127298, 28190, 55031, 15017, 231, 105262, 105755, 78183, 107277, 126172, 47884, 5486, 105755, 122521, 20230, 102971, 102802, 59739, 47884, 106046, 16995, 79721, 111329, 13177, 108008, 20230, 27384, 102769, 26854, 113727, 24273, 116787, 127862, 9080, 56965, 77181, 48864, 102802, 50834, 110615, 115789, 121771, 98369, 105693, 105879, 115515, 74482, 122270, 102987, 47884, 48864, 104369, 105908, 103082, 104984, 106046, 61689, 29295, 5486, 108526, 108941, 67075, 33208, 56051, 31431, 54926, 118733, 114181, 105085, 10110, 39880, 64810, 22398, 73590, 7705, 71289, 107624, 95001, 29295, 118220, 28542, 33208, 15024, 126172, 115737, 31431, 5486, 45829, 67645, 102944, 102404, 104067, 30512, 108399, 112535, 15017, 231, 58942, 113096, 17663, 102677, 103984, 28542, 29295, 91774, 21388, 16995, 29295, 43514, 108176, 102677, 28542, 30512, 5486, 102971, 91077, 15682, 100927, 104599, 116907, 29295, 103350, 124299, 16144, 75267, 16556, 95221, 116825, 76622, 5486, 95221, 109669, 16995, 100481, 107188, 118145, 16995, 124324, 105272, 19732, 23226, 107436, 114284, 79721, 1811, 45829, 67645, 32977, 15682, 41642, 111331, 17792, 19732, 126419, 20230, 13153, 101544, 102404, 104067, 54926, 105272, 106046, 61689, 111329, 114950, 5486, 43240, 119064, 99750, 118835, 71289, 8239, 112, 117714, 100909, 81219, 30512, 115962, 50834, 79721, 1811, 97135, 16995, 79721, 1811, 48154, 37689, 91774, 30512, 32977, 19732, 20230, 23226, 106594, 20230, 115619, 62004, 100481, 50834, 33541, 105879, 37271, 74482, 107173, 57980, 85791, 106624, 33334, 124730, 78434, 1811, 128001, 128000, 51330, 77219, 77181, 36896, 7072, 66383, 13177, 98374, 117503, 121953, 30512, 17620, 107277, 126172, 47884, 112825, 110904, 20230, 50338, 108323, 78434, 9174, 567, 45631, 7072, 66383, 15682, 5380, 13177, 7072, 66383, 15682, 117119, 32149, 126694, 30369, 5486, 105107, 67178, 54926, 5486, 106391, 13153, 54926, 102677, 115552, 16144, 91875, 113124, 38641, 1811, 53953, 126694, 30369, 102677, 23039, 101399, 71289, 103188, 39607, 30512, 64467, 17663, 107803, 103732, 47884, 33655, 123671, 33541, 9174, 567, 45631, 98374, 66383, 15682, 95532, 13177, 98374, 66383, 15682, 117119, 32149, 30512, 21990, 106518, 54926, 5486, 105107, 67178, 54926, 5486, 106518, 20834, 54926, 102677, 115552, 16144, 91875, 113124, 38641, 1811, 66378, 20230, 122333, 16144, 102944, 126694, 31431, 121406, 107803, 71289, 5486, 47043, 71289, 106942, 30512, 21990, 64121, 121406, 107803, 20230, 33655, 123671, 33541, 9174, 567, 45631, 7072, 66383, 13177, 98374, 117503, 121953, 198, 13177, 7072, 66383, 13177, 98374, 10646, 15682, 5486, 108729, 9554, 102052, 112361, 105933, 115552, 114792, 76947, 61689, 29295, 5486, 50034, 115590, 26854, 121953, 115991, 33541, 1811, 27452, 116285, 36896, 7072, 10646, 15682, 102159, 114754, 46034, 19967, 101275, 16556, 127091, 126694, 30369, 107803, 71289, 5486, 53953, 105284, 109904, 102944, 126694, 30369, 107803, 20230, 38129, 107001, 105908, 127181, 38641, 115397, 24273, 36896, 98374, 10646, 15682, 49792, 75267, 71289, 114435, 29295, 122333, 16144, 102944, 126694, 31431, 121406, 107803, 71289, 5486, 47043, 71289, 106942, 30512, 21990, 64121, 121406, 107803, 20230, 38129, 107001, 105908, 127181, 38641, 9174, 567, 45631, 7072, 117503, 27452, 17161, 198, 88852, 20230, 13177, 7072, 117503, 27452, 17161, 30512, 16995, 47884, 59739, 32149, 126362, 78434, 9174, 16, 13, 358, 690, 1304, 264, 19692, 369, 856, 13219, 753, 15553, 4717, 627, 17, 13, 1283, 1903, 264, 2007, 1701, 47658, 7732, 627, 567, 45631, 98374, 117503, 27452, 17161, 198, 88852, 20230, 13177, 98374, 117503, 27452, 17161, 30512, 16995, 47884, 59739, 32149, 126362, 78434, 9174, 16, 13, 578, 8803, 19159, 220, 16, 11, 931, 9515, 824, 1938, 627, 567, 220, 123011, 62004, 198, 37271, 18904, 15682, 36896, 7072, 66383, 13177, 98374, 10646, 109853, 122984, 121256, 66327, 7072, 66383, 15682, 127091, 126694, 30369, 100909, 71289, 106391, 13153, 54926, 106592, 64467, 15024, 36896, 98374, 66383, 15682, 127091, 30512, 21990, 106518, 56051, 31431, 105107, 67178, 56051, 31431, 54926, 106592, 64467, 78434, 1811, 50034, 115590, 26854, 121953, 115991, 33541, 29295, 5486, 108729, 9554, 102052, 112361, 105933, 115552, 114792, 76947, 61689, 1811, 128001, 128000, 1569, 109, 20713, 198, 124121, 112535, 91774, 28713, 107803, 5486, 126326, 15682, 56051, 24273, 29295, 126521, 112130, 95532, 116531, 20713, 198, 67645, 112384, 72661, 106391, 16995, 107515, 9174, 126326, 15682, 51330, 101083, 124911, 104067, 29295, 104662, 109013, 114305, 20230, 103188, 105557, 107515, 1811, 67645, 120950, 114305, 127303, 114598, 106116, 106594, 15024, 109161, 15024, 15682, 114516, 29295, 122225, 127145, 1811, 124121, 117145, 16144, 102616, 102052, 116690, 124897, 9174, 27452, 116285, 112160, 101908, 43240, 109297, 16144, 29504, 32977, 57903, 33541, 1811, 8107, 106036, 95, 111848, 44416, 48249, 32977, 57903, 33541, 29295, 106116, 106594, 15024, 109161, 15024, 15682, 114516, 16144, 122225, 38641, 9174, 1569, 109, 25963, 198, 124121, 112535, 91774, 38144, 5486, 126326, 21105, 103, 47884, 38144, 110482, 30369, 30926, 15682, 57903, 33541, 32149, 95532, 116531, 25963, 198, 124897, 109807, 114754, 77693, 81219, 103424, 118145, 109606, 15682, 124897, 9174, 92877, 102334, 126101, 15973, 224, 106624, 109020, 5486, 102083, 100472, 109606, 15682, 127298, 17905, 16144, 109606, 38641, 1811, 127298, 28190, 16144, 109606, 15682, 77693, 108422, 33121, 20230, 122225, 54926, 67016, 124897, 9174, 119627, 5486, 124121, 109904, 122225, 29295, 109215, 26854, 126465, 32977, 57903, 33541, 9174, 27452, 116285, 5486, 114516, 102052, 103188, 86436, 20230, 51330, 101083, 20230, 21990, 17129, 103468, 17792, 21990, 115991, 33541, 109807, 125344, 126326, 104654, 16556, 64209, 20230, 102987, 16995, 114218, 30512, 47000, 107441, 103801, 16995, 106116, 114218, 29295, 101860, 104043, 33420, 58942, 101860, 20230, 37689, 109375, 16144, 105665, 20230, 108618, 103836, 114754, 61689, 9174, 102131, 56051, 114754, 17039, 106624, 51330, 101083, 20230, 21990, 17129, 104028, 19732, 5486, 126326, 54926, 39177, 71289, 5486, 126326, 39926, 55031, 106116, 125344, 127298, 29295, 7518, 99, 76947, 121453, 102800, 126326, 29295, 102147, 226, 30832, 110276, 31431, 39926, 5486, 103188, 21403, 108, 20230, 107202, 15024, 104004, 114754, 20834, 33541, 9174, 108895, 56051 ]
[ 39177, 5486, 115200, 47884, 111243, 108048, 30512, 101545, 44309, 39926, 64209, 29295, 23706, 240, 84389, 104533, 5486, 37689, 109375, 16144, 105665, 32977, 120175, 100815, 47884, 30926, 115991, 33541, 9174, 58426, 101200, 110276, 107707, 126513, 5486, 126326, 39926, 103424, 102518, 5486, 102677, 30926, 115717, 33541, 9174, 119627, 5486, 116900, 20230, 5486, 7518, 99, 100472, 37689, 109375, 113468, 103188, 21403, 108, 20230, 107202, 21105, 123, 5486, 37026, 108055, 20230, 104862, 16995, 104526, 17129, 104028, 17792, 32977, 61689, 9174, 108895, 56051, 126513, 5486, 126326, 21105, 103, 16995, 24273, 29295, 103424, 102518, 102677, 30926, 115717, 33541, 9174, 25580, 30046, 15682, 30591, 109709, 16995, 107515, 1811, 74482, 30046, 15682, 27384, 110095, 61689, 9174, 101365, 108044, 54656, 232, 25333, 117824, 26854, 116285, 5486, 37689, 109375, 16144, 105665, 29295, 23706, 240, 107001, 114754, 27384, 110095, 61689, 9174, 101365, 108044, 54656, 232, 25333, 117824, 26854, 30297, 105879, 30591, 104984, 5486, 126326, 120837, 5486, 21105, 103, 47884, 111243, 5486, 124121, 9554, 102052, 27384, 112495, 109606, 15682, 124897, 9174, 16995, 101860, 33121, 116446, 32977, 5486, 37689, 109375, 16144, 105665, 29295, 34208, 33503, 104699, 55031, 38641, 9174, 116537, 111764, 38641, 1811, 126326, 54926, 123017, 5486, 106627, 106367, 54926, 123017, 5486, 53229, 108630, 103306, 5486, 124121, 112535, 109606, 124897, 9174, 30591, 47884, 17129, 72661, 5486, 40265, 30926, 30046, 42016, 101559, 16144, 127298, 28190, 16144, 109606, 71289, 106613, 111587, 28190, 16144, 109606, 5486, 34226, 102052, 5486, 106759, 112607, 16144, 109606, 50667, 5486, 53953, 105284, 102616, 16144, 109606, 38641, 9174, 115364, 113160, 49988, 121960, 5486, 121507, 54926, 67016, 124897, 1811, 128001, 128000, 2, 119109, 90962, 107805, 70563, 48552, 115350, 101634, 16144, 122561, 30590, 15682, 104405, 109020, 11571, 76208, 113663, 87447, 113497, 123470, 122561, 30590, 76706, 11883, 25333, 19732, 111681, 104482, 198, 2366, 15, 116358, 111344, 90962, 107805, 70563, 48552, 121254, 107441, 5486, 38093, 75267, 71289, 115350, 101634, 123160, 123079, 29295, 105047, 70563, 108981, 16556, 103130, 104127, 61689, 101832, 109807, 111344, 90962, 107805, 70563, 48552, 16144, 38093, 75267, 71289, 115350, 101634, 106116, 43511, 97518, 89046, 54926, 102923, 102332, 29295, 5486, 2366, 15, 116358, 87447, 113497, 74482, 5486, 67645, 119775, 76706, 11883, 107001, 104865, 29295, 26130, 118146, 43167, 107436, 61689, 1811, 116056, 77219, 77181, 95221, 108176, 2366, 15, 8107, 111344, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 16144, 33655, 16995, 45893, 19732, 5486, 103188, 86436, 16144, 90962, 107805, 70563, 48552, 87447, 113497, 30590, 16144, 115350, 101634, 76706, 11883, 27452, 30512, 114146, 38144, 48154, 126362, 78434, 9174, 30832, 33671, 198, 567, 107289, 107805, 70563, 48552, 102923, 102332, 16144, 122561, 30590, 76706, 11883, 15682, 102208, 125525, 111681, 104482, 198, 90962, 107805, 70563, 48552, 87447, 113497, 29295, 60358, 109669, 126145, 5486, 29504, 70821, 16144, 95221, 103768, 29295, 45736, 109709, 27384, 104721, 109466, 31431, 115442, 31431, 33541, 29295, 5486, 112727, 106824, 15682, 105110, 100604, 112973, 105721, 35287, 123470, 38093, 75267, 16144, 76706, 11883, 41007, 38641, 1811, 90962, 107805, 70563, 48552, 15682, 114300, 83301, 75267, 103378, 29295, 102923, 102332, 77181, 124897, 1811, 115350, 101634, 71289, 109935, 120690, 104309, 32977, 5486, 116690, 54926, 102923, 102332, 38641, 124845, 77693, 120577, 123079, 102052, 43240, 109518, 16144, 85188, 35330, 29295, 80172, 17701, 116216, 61689, 1811, 87447, 113497, 105721, 35287, 123090, 5486, 38093, 75267, 29295, 25766, 225, 43244, 253, 117084, 114732, 114016, 95604, 109335, 15682, 112672, 27384, 109606, 26854, 113334, 38641, 1811, 90962, 107805, 70563, 48552, 117232, 16325, 15682, 102616, 16325, 16144, 20251, 103830, 39880, 22398, 37823, 84477, 29295, 43167, 102971, 15024, 5486, 76706, 95221, 20230, 112624, 43514, 28713, 105189, 71289, 107188, 115350, 101634, 119627, 110745, 38093, 105721, 35287, 74482, 105352, 17905, 124475, 76706, 11883, 109768, 47884, 105908, 87447, 113497, 102208, 125525, 111681, 104482, 104856, 76947, 61689, 9174, 567, 104102, 236, 86436, 16144, 102433, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 15682, 104405, 76706, 11883, 103646, 95532, 85701, 103296, 102433, 117409, 16556, 87447, 113497, 116216, 105898, 90962, 107805, 70563, 48552, 115350, 101634, 15682, 5486, 112599, 67645, 119775, 76706, 11883, 110731, 105879, 109954, 32149, 1811, 103188, 86436, 16144, 87447, 113497, 30590, 30512, 110480, 20230, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 220, 5162, 19, 8107, 25580, 18904, 16144, 111344, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 198, 5162, 19, 8107, 87447, 113497, 103646, 25580, 18904, 16144, 111344, 90962, 107805, 70563, 48552, 10110, 3487, 8107, 104369, 31431, 6447, 7705, 77181, 5486, 73361, 103472, 104157, 101987, 119208, 103351, 13177, 102756, 57207, 52414, 100560, 237, 115474, 10646, 122561, 30590, 20230, 115350, 101634, 103306, 13177, 31640, 104680, 76505, 22656, 101634, 10646, 29295, 102332, 22324, 84389, 5486, 110022, 124175, 15682, 103664, 2287, 4317, 5486, 20, 11, 7467, 17792, 30512, 110226, 37729, 54926, 102923, 102332, 16556, 56051, 1811, 112599, 15682, 31640, 104680, 76505, 119951, 103306, 64531, 104874, 84389, 5486, 72368, 70821, 16144, 107063, 102, 117714, 75267, 104856, 103836, 102717, 32149, 5486, 109249, 63105, 236, 112028, 34048, 15682, 47585, 9458, 127950, 116216, 61689, 9174, 14711, 220, 4468, 17, 8107, 116510, 7190, 234, 113786, 105343, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 198, 4468, 17, 116033, 87447, 113497, 103646, 116510, 7190, 234, 90962, 107805, 70563, 48552, 113786, 105343, 112345, 77181, 5486, 116510, 7190, 234, 23530, 60358, 31938, 232, 16144, 49409, 119194, 119642, 104575, 122561, 30590, 20230, 102433, 126783, 35417, 108638, 10110, 102321, 1539, 113949, 101513, 106391, 7705, 29295, 123079, 56051, 89151, 102147, 240, 32943, 108638, 30590, 29295, 115350, 101634, 103306, 107740, 116216, 61689, 118844, 20230, 114146, 38144, 121805, 109673, 59563, 49409, 101911, 29295, 123079, 84389, 5486, 89151, 102147, 240, 32943, 19732, 116510, 7190, 234, 72368, 64209, 15682, 103664, 868, 17620, 16556, 102971, 81219, 33121, 79721, 1811, 112599, 16144, 13177, 1539, 76208, 113663, 108638, 30590, 10646, 15682, 127178, 55031, 1272, 8107, 71689, 29295, 106613, 103188, 127145, 29295, 5486, 103449, 16, 17620, 16144, 80195, 30590, 5486, 103664, 3391, 105565, 16556, 46729, 83812, 225, 15682, 103664, 19, 110743, 113314, 36785, 102131, 38641, 9174, 14711, 220, 2550, 23, 8107, 101544, 102212, 113786, 105343, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 198, 2550, 23, 116033, 87447, 113497, 103646, 101544, 102212, 90962, 107805, 70563, 48552, 113786, 105343, 112345, 77181, 5486, 101544, 102212, 23530, 104356, 34048, 55031, 59563, 102416, 103664, 22, 16400, 117083, 101701, 16325, 102687, 102865, 37271, 103932, 109224, 20230, 101544, 102212, 23530, 29295, 123079, 56051, 37271, 103932, 118331, 108337, 115691, 30512, 108703, 31431, 109415, 38144, 115350, 101634, 29295, 64531, 104874, 116216, 61689, 59459, 109461, 123085, 113245, 87447, 113497, 15682, 5486, 2366, 15, 116358, 111344, 90962, 107805, 70563, 48552, 16556, 33035, 70203, 19, 18904, 118322, 87447, 113497, 121711, 33541, 1811, 23954, 124175, 15682, 103664, 777, 4317, 5486, 26892, 53953, 1419, 77062, 253, 5486, 16, 11, 21040, 109076, 102677, 106045, 54872, 103351, 117840, 1811, 117896, 15682, 112599, 77181, 23530, 112167, 126783, 17592, 109076, 16144, 102717, 32149, 5486, 72099, 71289, 23530, 16144, 100927, 107430, 102351, 70141, 76622, 126783, 50667, 103306, 107740, 84389, 100481, 38144, 5486, 23530, 112167, 126783, 109853, 15682, 108008, 20230, 17792, 116499, 126574, 117840, 9174, 567, 109283, 48915, 16144, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 16144, 102321, 103397, 198, 77693, 77181, 5486, 120328, 48915, 29504, 77181, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 15682, 120953, 76706, 11883, 107001, 30926, 29295, 127181, 105879, 109954, 32149, 11571, 90962, 107805, 70563, 48552, 87447, 113497, 102208, 29504, 15682, 105578, 22023, 119707, 107441, 107253, 104874, 30512, 30358, 101832, 100481, 50834, 33541, 1811, 114300, 83301, 38093, 75267, 71289, 115350, 101634, 102083, 100472, 102923, 102332, 32977, 109098, 109518, 16144, 103087, 35330, 29295, 80172, 17701, 84389, 26892, 67178, 107001, 16144, 38641, 1811, 110229, 29295, 5486, 90962, 107805, 70563, 48552, 29295, 105721, 78183, 104533, 5486, 109205, 69978, 106382, 29295, 112686, 75513, 30512, 121819, 117598, 54926, 102321, 103350, 29295, 75293, 76947, 61689, 1811, 107943, 100909, 55031, 5486, 125559, 16144, 103188, 86436, 16144, 90962, 107805, 70563, 48552, 38093, 75267, 71289, 115350, 101634, 15682, 25766, 225, 43244, 253, 33208, 29295, 103130, 104127, 103801, 103836, 102677, 126465, 29295, 114652, 57903, 33541, 9174, 14711, 220, 679, 21, 8107, 87447, 113497, 16144, 37823, 90962, 68408, 106901, 102750, 25197, 42634, 90962, 107805, 70563, 48552, 122561, 30590, 198, 61304, 125534, 20230, 17039, 102800, 679, 21, 8107, 87447, 113497, 16144, 37823, 90962, 68408, 106901, 102750, 25197, 42634, 90962, 107805, 70563, 48552, 1811, 87447, 38093, 29430, 9458, 119962, 38093, 29430, 105352, 38129, 103646, 39850, 76171, 38093, 75267, 103195, 13177, 76739, 105335, 121714, 9458, 45923, 120456, 32131, 71493, 96452, 16073, 10646, 15682, 90962, 107805, 70563, 48552, 105721, 35287, 74482, 5486, 122830, 105494, 16144, 105838, 127696, 71289, 123010, 111108, 101307, 104698, 29295, 50021, 33671, 105557, 5486, 119962, 109349, 244, 121894, 9174, 37271, 15682, 91774, 30369, 32977, 43568, 108618, 26854, 121894, 117084, 103801, 16995, 79721, 1811, 115350, 101634, 15682, 102677, 19732, 5486, 17620, 92148, 110, 126783, 103306, 122626, 84389, 79721, 29295, 5486, 53953, 14558, 15682, 5486, 679, 22, 8107, 39177, 28542, 16556, 24, 111017, 71689, 29295, 105525, 33121, 108618, 106358, 102083, 61689, 9174, 115350, 101634, 16144, 26892, 53953, 15682, 2148, 77062, 253, 57903, 5486, 6843, 19, 114834, 20230, 103664, 16, 32307, 23, 103633, 17792, 30512, 110226, 37729, 54926, 1811, 121536, 30590, 32943, 102052, 22, 32307, 17, 103633, 105565, 102944, 100783, 239, 30590, 1811, 32977, 100472, 16995, 100604, 125651, 1981, 9174, 14711, 220, 679, 17, 8107, 87447, 113497, 16144, 42634, 102860, 16073, 90962, 107805, 70563, 48552, 122561, 30590, 198, 42634, 102860, 16073, 90962, 107805, 70563, 48552, 115350, 101634, 15682, 13177, 90962, 107805, 70563, 48552, 102512, 17905, 32335, 32977, 19653, 56051, 115350, 101634, 66383, 32977, 117952, 115032, 9174, 32977, 107173, 107118, 42634, 102860, 16073, 23530, 123727, 32335, 80631, 100, 110482, 119208, 20230, 113638, 32149, 103468, 115350, 101634, 103351, 109900, 29295, 37271, 77181, 1163, 677, 5721, 16192, 102677, 104575, 71289, 103242, 109519, 101513, 97518, 32977, 125702, 102332, 84389, 5486, 126783, 13177, 25197, 125913, 91482, 44971, 26269, 76428, 66383, 39926, 107740, 116216, 61689, 1811, 18, 11, 931, 109076, 16144, 117591, 5486, 2721, 113127, 20230, 109198, 17701, 103646, 31431, 5486, 83812, 225, 110726, 39880, 80805, 84477, 39926, 107740, 116216, 108086, 5486, 108008, 20230, 126909, 107407, 103846, 5486, 122270, 115079, 113638, 71289, 122401, 29295, 106307, 119188, 110162, 9174, 14711, 220, 1049, 23, 8107, 70090, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 198, 87447, 113497, 40265, 39177, 15682, 114834, 20230, 66953, 105335, 52884, 29295, 43568, 102518, 31431, 5486, 20251, 25197, 44971, 29295, 53610, 27699, 116, 15024, 110276, 50667, 19732, 78943, 45893, 84389, 5486, 87177, 104482, 101983, 106358, 115350, 101634, 102923, 102332, 119627, 5486, 112599, 15682, 17620, 92148, 110, 126783, 13177, 29504, 105665, 101634, 10110, 105665, 103768, 104023, 59795, 102158, 16556, 90962, 107805, 70563, 48552, 7705, 10646, 103306, 107740, 110731, 110792, 100909, 38641, 9174, 14711, 220, 1049, 19, 8107, 87447, 113497, 16144, 39880, 57933, 102750, 90962, 107805, 70563, 48552, 122561, 30590, 198, 1049, 19, 8107, 39880, 57933, 102750, 90962, 107805, 70563, 48552, 16144, 102832, 61398, 103672, 64178, 105335, 125581, 91062, 16144, 112599, 15682, 5486, 111134, 65299, 102860, 102052, 105301, 76505, 29295, 21990, 16995, 122447, 31431, 5486, 112599, 15682, 117864, 47884, 38129, 84389, 100481, 107515, 1811, 72342, 42891, 32149, 47884, 43240, 27384, 26854, 106382, 11883, 30512, 80172, 100204, 38144, 123079, 56051, 16144, 105352, 100472, 16995, 100604, 125651, 9174, 567, 107289, 107805, 70563, 48552, 122561, 30590, 30512, 17905, 124475, 76706, 11883, 103792, 113949, 107118, 95532, 90962, 107805, 70563, 48552, 105721, 35287, 123090, 5486, 116690, 102923, 102332, 29295, 25766, 225, 43244, 253, 104856, 76947, 114732, 113949, 107407, 15120, 24273, 16556, 5486, 122561, 30590, 30512, 17905, 124475, 107740, 103792, 113949, 32977, 48706, 127145, 1811, 118899, 16144, 90962, 107805, 70563, 48552, 87447, 113497, 113949, 16556, 5486, 122561, 30590, 107740, 20230, 19653, 103792, 102083, 105262, 112973, 111476, 679, 17, 116358, 42634, 102860, 16073, 90962, 107805, 70563, 48552, 38641, 1811, 42634, 102860, 16073, 90962, 107805, 70563, 48552, 122561, 30590, 15682, 115350, 101634, 121142, 103470, 5486, 38093, 75267, 71289, 97518, 89046, 102923, 102332, 29295, 112599, 32977, 76706, 11883, 116216, 61689, 9174, 39850, 76171, 38093, 75267, 16144, 13177, 90962, 107805, 70563, 48552, 9458, 80805, 105048, 10646, 15682, 5486, 17837, 117913, 35757, 32149, 107441, 23226, 23951, 30512, 125683, 107436, 5486, 109054, 107167, 94550, 71289, 113909, 104603, 94550, 29295, 106084, 30369, 114363, 11883, 117273, 29295, 64531, 104874, 84389, 5486, 112599, 15682, 23530, 70821, 16144, 107063, 102, 117714, 75267, 104856, 76947, 61689, 118855, 5486, 90962, 107805, 70563, 48552, 105335, 125581, 91062, 15682, 679, 20, 116033, 5486, 32131, 41758, 91482, 25005, 107, 116168, 71493, 103830, 16144, 114300, 83301, 75267, 103306, 33655, 125167, 100909, 72661, 5486, 61304, 125534, 20230, 17039, 102800, 110229, 109807, 30591, 107118, 5486, 60868, 26269, 71493, 107610, 44971, 101198, 39880, 37823, 38248, 108, 16144, 65299, 76739, 71634, 102040, 91062, 29295, 22656, 26955, 254, 30590, 103306, 60634, 108436, 118855, 5486, 89408, 5486, 102616, 111059, 115442, 87447, 113497, 107001, 103911, 23187, 19732, 5486, 52591, 33710, 18904, 108436, 127145, 9174, 567, 220, 2366, 15, 8107, 111344, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 15682, 108895, 109020, 32351, 198, 112599, 5486, 111344, 90962, 107805 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39177, 5486, 115200, 47884, 111243, 108048, 30512, 101545, 44309, 39926, 64209, 29295, 23706, 240, 84389, 104533, 5486, 37689, 109375, 16144, 105665, 32977, 120175, 100815, 47884, 30926, 115991, 33541, 9174, 58426, 101200, 110276, 107707, 126513, 5486, 126326, 39926, 103424, 102518, 5486, 102677, 30926, 115717, 33541, 9174, 119627, 5486, 116900, 20230, 5486, 7518, 99, 100472, 37689, 109375, 113468, 103188, 21403, 108, 20230, 107202, 21105, 123, 5486, 37026, 108055, 20230, 104862, 16995, 104526, 17129, 104028, 17792, 32977, 61689, 9174, 108895, 56051, 126513, 5486, 126326, 21105, 103, 16995, 24273, 29295, 103424, 102518, 102677, 30926, 115717, 33541, 9174, 25580, 30046, 15682, 30591, 109709, 16995, 107515, 1811, 74482, 30046, 15682, 27384, 110095, 61689, 9174, 101365, 108044, 54656, 232, 25333, 117824, 26854, 116285, 5486, 37689, 109375, 16144, 105665, 29295, 23706, 240, 107001, 114754, 27384, 110095, 61689, 9174, 101365, 108044, 54656, 232, 25333, 117824, 26854, 30297, 105879, 30591, 104984, 5486, 126326, 120837, 5486, 21105, 103, 47884, 111243, 5486, 124121, 9554, 102052, 27384, 112495, 109606, 15682, 124897, 9174, 16995, 101860, 33121, 116446, 32977, 5486, 37689, 109375, 16144, 105665, 29295, 34208, 33503, 104699, 55031, 38641, 9174, 116537, 111764, 38641, 1811, 126326, 54926, 123017, 5486, 106627, 106367, 54926, 123017, 5486, 53229, 108630, 103306, 5486, 124121, 112535, 109606, 124897, 9174, 30591, 47884, 17129, 72661, 5486, 40265, 30926, 30046, 42016, 101559, 16144, 127298, 28190, 16144, 109606, 71289, 106613, 111587, 28190, 16144, 109606, 5486, 34226, 102052, 5486, 106759, 112607, 16144, 109606, 50667, 5486, 53953, 105284, 102616, 16144, 109606, 38641, 9174, 115364, 113160, 49988, 121960, 5486, 121507, 54926, 67016, 124897, 1811, 128001, 128000, 2, 119109, 90962, 107805, 70563, 48552, 115350, 101634, 16144, 122561, 30590, 15682, 104405, 109020, 11571, 76208, 113663, 87447, 113497, 123470, 122561, 30590, 76706, 11883, 25333, 19732, 111681, 104482, 198, 2366, 15, 116358, 111344, 90962, 107805, 70563, 48552, 121254, 107441, 5486, 38093, 75267, 71289, 115350, 101634, 123160, 123079, 29295, 105047, 70563, 108981, 16556, 103130, 104127, 61689, 101832, 109807, 111344, 90962, 107805, 70563, 48552, 16144, 38093, 75267, 71289, 115350, 101634, 106116, 43511, 97518, 89046, 54926, 102923, 102332, 29295, 5486, 2366, 15, 116358, 87447, 113497, 74482, 5486, 67645, 119775, 76706, 11883, 107001, 104865, 29295, 26130, 118146, 43167, 107436, 61689, 1811, 116056, 77219, 77181, 95221, 108176, 2366, 15, 8107, 111344, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 16144, 33655, 16995, 45893, 19732, 5486, 103188, 86436, 16144, 90962, 107805, 70563, 48552, 87447, 113497, 30590, 16144, 115350, 101634, 76706, 11883, 27452, 30512, 114146, 38144, 48154, 126362, 78434, 9174, 30832, 33671, 198, 567, 107289, 107805, 70563, 48552, 102923, 102332, 16144, 122561, 30590, 76706, 11883, 15682, 102208, 125525, 111681, 104482, 198, 90962, 107805, 70563, 48552, 87447, 113497, 29295, 60358, 109669, 126145, 5486, 29504, 70821, 16144, 95221, 103768, 29295, 45736, 109709, 27384, 104721, 109466, 31431, 115442, 31431, 33541, 29295, 5486, 112727, 106824, 15682, 105110, 100604, 112973, 105721, 35287, 123470, 38093, 75267, 16144, 76706, 11883, 41007, 38641, 1811, 90962, 107805, 70563, 48552, 15682, 114300, 83301, 75267, 103378, 29295, 102923, 102332, 77181, 124897, 1811, 115350, 101634, 71289, 109935, 120690, 104309, 32977, 5486, 116690, 54926, 102923, 102332, 38641, 124845, 77693, 120577, 123079, 102052, 43240, 109518, 16144, 85188, 35330, 29295, 80172, 17701, 116216, 61689, 1811, 87447, 113497, 105721, 35287, 123090, 5486, 38093, 75267, 29295, 25766, 225, 43244, 253, 117084, 114732, 114016, 95604, 109335, 15682, 112672, 27384, 109606, 26854, 113334, 38641, 1811, 90962, 107805, 70563, 48552, 117232, 16325, 15682, 102616, 16325, 16144, 20251, 103830, 39880, 22398, 37823, 84477, 29295, 43167, 102971, 15024, 5486, 76706, 95221, 20230, 112624, 43514, 28713, 105189, 71289, 107188, 115350, 101634, 119627, 110745, 38093, 105721, 35287, 74482, 105352, 17905, 124475, 76706, 11883, 109768, 47884, 105908, 87447, 113497, 102208, 125525, 111681, 104482, 104856, 76947, 61689, 9174, 567, 104102, 236, 86436, 16144, 102433, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 15682, 104405, 76706, 11883, 103646, 95532, 85701, 103296, 102433, 117409, 16556, 87447, 113497, 116216, 105898, 90962, 107805, 70563, 48552, 115350, 101634, 15682, 5486, 112599, 67645, 119775, 76706, 11883, 110731, 105879, 109954, 32149, 1811, 103188, 86436, 16144, 87447, 113497, 30590, 30512, 110480, 20230, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 220, 5162, 19, 8107, 25580, 18904, 16144, 111344, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 198, 5162, 19, 8107, 87447, 113497, 103646, 25580, 18904, 16144, 111344, 90962, 107805, 70563, 48552, 10110, 3487, 8107, 104369, 31431, 6447, 7705, 77181, 5486, 73361, 103472, 104157, 101987, 119208, 103351, 13177, 102756, 57207, 52414, 100560, 237, 115474, 10646, 122561, 30590, 20230, 115350, 101634, 103306, 13177, 31640, 104680, 76505, 22656, 101634, 10646, 29295, 102332, 22324, 84389, 5486, 110022, 124175, 15682, 103664, 2287, 4317, 5486, 20, 11, 7467, 17792, 30512, 110226, 37729, 54926, 102923, 102332, 16556, 56051, 1811, 112599, 15682, 31640, 104680, 76505, 119951, 103306, 64531, 104874, 84389, 5486, 72368, 70821, 16144, 107063, 102, 117714, 75267, 104856, 103836, 102717, 32149, 5486, 109249, 63105, 236, 112028, 34048, 15682, 47585, 9458, 127950, 116216, 61689, 9174, 14711, 220, 4468, 17, 8107, 116510, 7190, 234, 113786, 105343, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 198, 4468, 17, 116033, 87447, 113497, 103646, 116510, 7190, 234, 90962, 107805, 70563, 48552, 113786, 105343, 112345, 77181, 5486, 116510, 7190, 234, 23530, 60358, 31938, 232, 16144, 49409, 119194, 119642, 104575, 122561, 30590, 20230, 102433, 126783, 35417, 108638, 10110, 102321, 1539, 113949, 101513, 106391, 7705, 29295, 123079, 56051, 89151, 102147, 240, 32943, 108638, 30590, 29295, 115350, 101634, 103306, 107740, 116216, 61689, 118844, 20230, 114146, 38144, 121805, 109673, 59563, 49409, 101911, 29295, 123079, 84389, 5486, 89151, 102147, 240, 32943, 19732, 116510, 7190, 234, 72368, 64209, 15682, 103664, 868, 17620, 16556, 102971, 81219, 33121, 79721, 1811, 112599, 16144, 13177, 1539, 76208, 113663, 108638, 30590, 10646, 15682, 127178, 55031, 1272, 8107, 71689, 29295, 106613, 103188, 127145, 29295, 5486, 103449, 16, 17620, 16144, 80195, 30590, 5486, 103664, 3391, 105565, 16556, 46729, 83812, 225, 15682, 103664, 19, 110743, 113314, 36785, 102131, 38641, 9174, 14711, 220, 2550, 23, 8107, 101544, 102212, 113786, 105343, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 198, 2550, 23, 116033, 87447, 113497, 103646, 101544, 102212, 90962, 107805, 70563, 48552, 113786, 105343, 112345, 77181, 5486, 101544, 102212, 23530, 104356, 34048, 55031, 59563, 102416, 103664, 22, 16400, 117083, 101701, 16325, 102687, 102865, 37271, 103932, 109224, 20230, 101544, 102212, 23530, 29295, 123079, 56051, 37271, 103932, 118331, 108337, 115691, 30512, 108703, 31431, 109415, 38144, 115350, 101634, 29295, 64531, 104874, 116216, 61689, 59459, 109461, 123085, 113245, 87447, 113497, 15682, 5486, 2366, 15, 116358, 111344, 90962, 107805, 70563, 48552, 16556, 33035, 70203, 19, 18904, 118322, 87447, 113497, 121711, 33541, 1811, 23954, 124175, 15682, 103664, 777, 4317, 5486, 26892, 53953, 1419, 77062, 253, 5486, 16, 11, 21040, 109076, 102677, 106045, 54872, 103351, 117840, 1811, 117896, 15682, 112599, 77181, 23530, 112167, 126783, 17592, 109076, 16144, 102717, 32149, 5486, 72099, 71289, 23530, 16144, 100927, 107430, 102351, 70141, 76622, 126783, 50667, 103306, 107740, 84389, 100481, 38144, 5486, 23530, 112167, 126783, 109853, 15682, 108008, 20230, 17792, 116499, 126574, 117840, 9174, 567, 109283, 48915, 16144, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 16144, 102321, 103397, 198, 77693, 77181, 5486, 120328, 48915, 29504, 77181, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 15682, 120953, 76706, 11883, 107001, 30926, 29295, 127181, 105879, 109954, 32149, 11571, 90962, 107805, 70563, 48552, 87447, 113497, 102208, 29504, 15682, 105578, 22023, 119707, 107441, 107253, 104874, 30512, 30358, 101832, 100481, 50834, 33541, 1811, 114300, 83301, 38093, 75267, 71289, 115350, 101634, 102083, 100472, 102923, 102332, 32977, 109098, 109518, 16144, 103087, 35330, 29295, 80172, 17701, 84389, 26892, 67178, 107001, 16144, 38641, 1811, 110229, 29295, 5486, 90962, 107805, 70563, 48552, 29295, 105721, 78183, 104533, 5486, 109205, 69978, 106382, 29295, 112686, 75513, 30512, 121819, 117598, 54926, 102321, 103350, 29295, 75293, 76947, 61689, 1811, 107943, 100909, 55031, 5486, 125559, 16144, 103188, 86436, 16144, 90962, 107805, 70563, 48552, 38093, 75267, 71289, 115350, 101634, 15682, 25766, 225, 43244, 253, 33208, 29295, 103130, 104127, 103801, 103836, 102677, 126465, 29295, 114652, 57903, 33541, 9174, 14711, 220, 679, 21, 8107, 87447, 113497, 16144, 37823, 90962, 68408, 106901, 102750, 25197, 42634, 90962, 107805, 70563, 48552, 122561, 30590, 198, 61304, 125534, 20230, 17039, 102800, 679, 21, 8107, 87447, 113497, 16144, 37823, 90962, 68408, 106901, 102750, 25197, 42634, 90962, 107805, 70563, 48552, 1811, 87447, 38093, 29430, 9458, 119962, 38093, 29430, 105352, 38129, 103646, 39850, 76171, 38093, 75267, 103195, 13177, 76739, 105335, 121714, 9458, 45923, 120456, 32131, 71493, 96452, 16073, 10646, 15682, 90962, 107805, 70563, 48552, 105721, 35287, 74482, 5486, 122830, 105494, 16144, 105838, 127696, 71289, 123010, 111108, 101307, 104698, 29295, 50021, 33671, 105557, 5486, 119962, 109349, 244, 121894, 9174, 37271, 15682, 91774, 30369, 32977, 43568, 108618, 26854, 121894, 117084, 103801, 16995, 79721, 1811, 115350, 101634, 15682, 102677, 19732, 5486, 17620, 92148, 110, 126783, 103306, 122626, 84389, 79721, 29295, 5486, 53953, 14558, 15682, 5486, 679, 22, 8107, 39177, 28542, 16556, 24, 111017, 71689, 29295, 105525, 33121, 108618, 106358, 102083, 61689, 9174, 115350, 101634, 16144, 26892, 53953, 15682, 2148, 77062, 253, 57903, 5486, 6843, 19, 114834, 20230, 103664, 16, 32307, 23, 103633, 17792, 30512, 110226, 37729, 54926, 1811, 121536, 30590, 32943, 102052, 22, 32307, 17, 103633, 105565, 102944, 100783, 239, 30590, 1811, 32977, 100472, 16995, 100604, 125651, 1981, 9174, 14711, 220, 679, 17, 8107, 87447, 113497, 16144, 42634, 102860, 16073, 90962, 107805, 70563, 48552, 122561, 30590, 198, 42634, 102860, 16073, 90962, 107805, 70563, 48552, 115350, 101634, 15682, 13177, 90962, 107805, 70563, 48552, 102512, 17905, 32335, 32977, 19653, 56051, 115350, 101634, 66383, 32977, 117952, 115032, 9174, 32977, 107173, 107118, 42634, 102860, 16073, 23530, 123727, 32335, 80631, 100, 110482, 119208, 20230, 113638, 32149, 103468, 115350, 101634, 103351, 109900, 29295, 37271, 77181, 1163, 677, 5721, 16192, 102677, 104575, 71289, 103242, 109519, 101513, 97518, 32977, 125702, 102332, 84389, 5486, 126783, 13177, 25197, 125913, 91482, 44971, 26269, 76428, 66383, 39926, 107740, 116216, 61689, 1811, 18, 11, 931, 109076, 16144, 117591, 5486, 2721, 113127, 20230, 109198, 17701, 103646, 31431, 5486, 83812, 225, 110726, 39880, 80805, 84477, 39926, 107740, 116216, 108086, 5486, 108008, 20230, 126909, 107407, 103846, 5486, 122270, 115079, 113638, 71289, 122401, 29295, 106307, 119188, 110162, 9174, 14711, 220, 1049, 23, 8107, 70090, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 198, 87447, 113497, 40265, 39177, 15682, 114834, 20230, 66953, 105335, 52884, 29295, 43568, 102518, 31431, 5486, 20251, 25197, 44971, 29295, 53610, 27699, 116, 15024, 110276, 50667, 19732, 78943, 45893, 84389, 5486, 87177, 104482, 101983, 106358, 115350, 101634, 102923, 102332, 119627, 5486, 112599, 15682, 17620, 92148, 110, 126783, 13177, 29504, 105665, 101634, 10110, 105665, 103768, 104023, 59795, 102158, 16556, 90962, 107805, 70563, 48552, 7705, 10646, 103306, 107740, 110731, 110792, 100909, 38641, 9174, 14711, 220, 1049, 19, 8107, 87447, 113497, 16144, 39880, 57933, 102750, 90962, 107805, 70563, 48552, 122561, 30590, 198, 1049, 19, 8107, 39880, 57933, 102750, 90962, 107805, 70563, 48552, 16144, 102832, 61398, 103672, 64178, 105335, 125581, 91062, 16144, 112599, 15682, 5486, 111134, 65299, 102860, 102052, 105301, 76505, 29295, 21990, 16995, 122447, 31431, 5486, 112599, 15682, 117864, 47884, 38129, 84389, 100481, 107515, 1811, 72342, 42891, 32149, 47884, 43240, 27384, 26854, 106382, 11883, 30512, 80172, 100204, 38144, 123079, 56051, 16144, 105352, 100472, 16995, 100604, 125651, 9174, 567, 107289, 107805, 70563, 48552, 122561, 30590, 30512, 17905, 124475, 76706, 11883, 103792, 113949, 107118, 95532, 90962, 107805, 70563, 48552, 105721, 35287, 123090, 5486, 116690, 102923, 102332, 29295, 25766, 225, 43244, 253, 104856, 76947, 114732, 113949, 107407, 15120, 24273, 16556, 5486, 122561, 30590, 30512, 17905, 124475, 107740, 103792, 113949, 32977, 48706, 127145, 1811, 118899, 16144, 90962, 107805, 70563, 48552, 87447, 113497, 113949, 16556, 5486, 122561, 30590, 107740, 20230, 19653, 103792, 102083, 105262, 112973, 111476, 679, 17, 116358, 42634, 102860, 16073, 90962, 107805, 70563, 48552, 38641, 1811, 42634, 102860, 16073, 90962, 107805, 70563, 48552, 122561, 30590, 15682, 115350, 101634, 121142, 103470, 5486, 38093, 75267, 71289, 97518, 89046, 102923, 102332, 29295, 112599, 32977, 76706, 11883, 116216, 61689, 9174, 39850, 76171, 38093, 75267, 16144, 13177, 90962, 107805, 70563, 48552, 9458, 80805, 105048, 10646, 15682, 5486, 17837, 117913, 35757, 32149, 107441, 23226, 23951, 30512, 125683, 107436, 5486, 109054, 107167, 94550, 71289, 113909, 104603, 94550, 29295, 106084, 30369, 114363, 11883, 117273, 29295, 64531, 104874, 84389, 5486, 112599, 15682, 23530, 70821, 16144, 107063, 102, 117714, 75267, 104856, 76947, 61689, 118855, 5486, 90962, 107805, 70563, 48552, 105335, 125581, 91062, 15682, 679, 20, 116033, 5486, 32131, 41758, 91482, 25005, 107, 116168, 71493, 103830, 16144, 114300, 83301, 75267, 103306, 33655, 125167, 100909, 72661, 5486, 61304, 125534, 20230, 17039, 102800, 110229, 109807, 30591, 107118, 5486, 60868, 26269, 71493, 107610, 44971, 101198, 39880, 37823, 38248, 108, 16144, 65299, 76739, 71634, 102040, 91062, 29295, 22656, 26955, 254, 30590, 103306, 60634, 108436, 118855, 5486, 89408, 5486, 102616, 111059, 115442, 87447, 113497, 107001, 103911, 23187, 19732, 5486, 52591, 33710, 18904, 108436, 127145, 9174, 567, 220, 2366, 15, 8107, 111344, 90962, 107805, 70563, 48552, 115350, 101634, 122561, 30590, 15682, 108895, 109020, 32351, 198, 112599, 5486, 111344, 90962, 107805 ]
[ 70563, 48552, 115350, 101634, 29295, 123079, 110731, 104468, 101778, 108931, 109432, 24775, 116366, 56235, 102677, 116245, 16556, 110371, 116245, 20230, 111344, 45923, 103202, 18, 102159, 17620, 20230, 116298, 114737, 54926, 975, 21909, 972, 106090, 26892, 38144, 16144, 109249, 117856, 102923, 102332, 1691, 77062, 253, 19732, 33122, 101275, 77062, 253, 29295, 64531, 104874, 107001, 105908, 103911, 23187, 116216, 61689, 1811, 77181, 111344, 90962, 107805, 70563, 48552, 29295, 105721, 35287, 56051, 74482, 15682, 110371, 115350, 101634, 15682, 67645, 16144, 101200, 108176, 103911, 23187, 26854, 105879, 109954, 32149, 11571, 106609, 567, 119109, 90962, 107805, 70563, 48552, 16144, 115350, 101634, 15682, 88356, 107740, 25580, 29172, 16556, 123079, 110731, 198, 108936, 112535, 90962, 107805, 70563, 48552, 105721, 35287, 123470, 115350, 101634, 15682, 88356, 107740, 54926, 106592, 25580, 29172, 20230, 123079, 116216, 61689, 1811, 111344, 90962, 107805, 70563, 48552, 105721, 35287, 74482, 15682, 5486, 109249, 117856, 102923, 102332, 30512, 111817, 104272, 20230, 23226, 23951, 54926, 121142, 103470, 5486, 1135, 106090, 26892, 38144, 16144, 47307, 102756, 108941, 16073, 104272, 17, 77062, 253, 30512, 123079, 54926, 100909, 117084, 102532, 5486, 40862, 82420, 103664, 20, 11, 13655, 109076, 16144, 111817, 104272, 84844, 110698, 29295, 103911, 23187, 116216, 61689, 9174, 14711, 106982, 16073, 104272, 116749, 16144, 88356, 107740, 82420, 55723, 32977, 198, 108936, 70141, 76622, 16144, 17620, 92148, 110, 111817, 104272, 116749, 105352, 5486, 101778, 108931, 16144, 125053, 56051, 64531, 104874, 82420, 55723, 102052, 5486, 125175, 114308, 45736, 106036, 95, 30046, 70141, 76622, 126783, 71289, 105268, 30046, 70141, 76622, 16144, 122908, 39880, 102040, 115474, 5486, 48915, 29504, 17792, 70141, 76622, 16144, 125175, 39880, 80805, 84477, 73590, 104309, 30512, 123079, 54926, 105908, 96412, 17129, 106824, 61689, 118855, 5486, 104575, 16144, 123079, 103911, 23187, 71289, 33122, 101275, 102923, 102332, 16144, 102717, 32149, 5486, 107167, 122842, 102494, 64178, 71289, 33563, 101662, 32938, 104309, 104654, 20230, 109215, 26854, 102923, 102332, 32977, 64531, 104874, 84389, 112160, 39177, 9554, 126194, 5486, 101544, 23538, 20230, 78183, 28713, 76947, 101987, 64121, 106307, 105784, 105908, 108608, 104773, 29295, 82420, 55723, 116216, 61689, 9174, 112599, 5486, 116366, 56235, 109224, 102052, 124752, 29295, 33035, 107462, 107515, 29295, 5486, 679, 24, 8107, 102052, 72368, 64209, 19732, 122678, 56235, 106966, 72368, 64209, 30512, 102971, 104369, 17039, 102800, 109060, 123141, 103195, 33, 5463, 10110, 118809, 120018, 115201, 37705, 123141, 7705, 29295, 106839, 17701, 107001, 103911, 23187, 117084, 61689, 113637, 33, 5463, 29295, 103911, 23187, 121640, 87447, 33035, 112990, 5486, 72368, 64209, 111363, 39880, 122086, 22398, 29295, 27384, 111044, 20230, 23226, 106594, 107001, 105879, 5486, 111817, 104272, 17620, 92148, 110, 39177, 102052, 27384, 112495, 120098, 115717, 102131, 125651, 9174, 14711, 107732, 72238, 106826, 38248, 115, 78205, 16073, 71289, 76739, 102750, 104774, 103202, 16556, 53610, 72238, 106222, 30512, 61826, 108167, 198, 122270, 118146, 73686, 47884, 112973, 53610, 72238, 106826, 38248, 115, 78205, 16073, 38641, 1811, 53610, 72238, 19732, 108602, 72238, 16144, 116945, 95543, 106608, 16556, 91875, 47884, 114887, 42506, 101721, 107980, 115681, 101918, 70141, 76622, 20230, 53610, 72238, 30512, 84844, 110698, 54926, 102923, 102332, 19732, 110731, 1811, 17620, 92148, 110, 111817, 104272, 16144, 102208, 101987, 109076, 102052, 118006, 11883, 114887, 42506, 101721, 107980, 10110, 76739, 102750, 104774, 103202, 7705, 29295, 102332, 22324, 107001, 100909, 117084, 108086, 5486, 37507, 30369, 125231, 53610, 72238, 106222, 30512, 61826, 108167, 54926, 105908, 104773, 109669, 47884, 111331, 57933, 108941, 105352, 26854, 76947, 61689, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 123253, 32149, 124192, 85707, 16144, 103911, 70203, 30512, 15682, 30369, 111201, 90962, 112164, 11972, 112990, 117952, 115032, 2366, 15, 116358, 111344, 90962, 107805, 70563, 48552, 1811, 87447, 113497, 29295, 60358, 109669, 47884, 107294, 106824, 109466, 31431, 115442, 31431, 104088, 122101, 111344, 90962, 107805, 70563, 48552, 97518, 89046, 16144, 118331, 61398, 119627, 5486, 43240, 109518, 16144, 85188, 35330, 30512, 80172, 17701, 56051, 97518, 89046, 102923, 102332, 29295, 103911, 23187, 121640, 76706, 11883, 84389, 25766, 225, 43244, 253, 101983, 110104, 101200, 5486, 101778, 108931, 70821, 15682, 32977, 43514, 85791, 25827, 5486, 29504, 70821, 37087, 33014, 16556, 112345, 105721, 35287, 74482, 103296, 91774, 106154, 107462, 47884, 109215, 115991, 102131, 38641, 1811, 128001, 128000, 104405, 32977, 116898, 104043, 47884, 38641, 9174, 125894, 76622, 20834, 39926, 83747, 21105, 254, 76622, 39177, 29295, 106613, 100472, 39276, 16144, 6109, 76739, 123581, 114676, 38641, 9174, 118899, 91763, 30297, 16144, 119627, 5486, 37026, 114622, 101513, 76947, 1041, 35757, 106157, 30512, 104736, 109375, 21388, 113529, 54926, 105184, 96455, 45736, 47884, 100604, 112130, 95532, 17129, 108861, 107943, 109335, 22324, 102532, 33334, 102532, 115515, 18904, 15682, 37823, 104774, 29220, 47307, 122835, 16144, 75146, 17920, 236, 116787, 125261, 9554, 112825, 110904, 26854, 13177, 39850, 102741, 105404, 16144, 125174, 121216, 10646, 109853, 112197, 87177, 38641, 106609, 567, 103036, 30813, 26854, 39850, 102741, 105404, 20230, 125174, 121406, 39850, 37823, 67075, 198, 117120, 22649, 30512, 31809, 30813, 26854, 39850, 102741, 105404, 20230, 125174, 121406, 76947, 95604, 104468, 17663, 48154, 47884, 30590, 103868, 26854, 19967, 101275, 119627, 111476, 62004, 104702, 47884, 104702, 8239, 114503, 107407, 37823, 104774, 29220, 47307, 122835, 46034, 25333, 38641, 9174, 58426, 39850, 37823, 67075, 15682, 17, 59739, 106609, 88356, 107740, 88367, 108176, 6447, 66827, 99, 22649, 16144, 59657, 232, 20230, 51609, 13372, 108608, 106609, 77693, 108422, 33121, 103350, 27452, 30512, 39209, 107290, 91774, 100481, 50834, 17129, 109954, 106609, 121159, 15682, 15510, 38641, 9174, 14711, 69839, 235, 107740, 88367, 108176, 198, 27452, 116285, 114387, 112391, 16556, 108526, 103202, 55031, 37705, 22023, 116216, 105898, 112603, 19732, 29220, 76739, 37823, 80805, 32131, 39850, 108337, 114475, 76622, 18655, 76947, 5486, 119526, 102832, 61398, 20230, 47585, 54926, 117120, 22649, 107407, 19732, 78434, 9174, 78328, 284, 3401, 3019, 280, 16212, 284, 3401, 3891, 280, 3, 41454, 284, 1358, 21558, 703, 1379, 11, 400, 1663, 317, 37904, 703, 41454, 681, 5963, 5984, 37904, 703, 41454, 681, 2964, 5984, 534, 6766, 1271, 83887, 102677, 119526, 102832, 61398, 20230, 47585, 54926, 39850, 102741, 105404, 29295, 116414, 32149, 103283, 16144, 110229, 20230, 23187, 104577, 110731, 19732, 124572, 23187, 39926, 72315, 9174, 101682, 76622, 18655, 100472, 112603, 30512, 68759, 78767, 39926, 47585, 103792, 16144, 119627, 116898, 47884, 59739, 32149, 47585, 54926, 126101, 113473, 26854, 119526, 107407, 105879, 5486, 21403, 232, 21418, 39926, 55031, 119526, 102832, 61398, 20230, 47585, 127145, 9174, 53900, 5486, 103283, 16144, 39850, 102741, 105404, 77181, 88852, 120950, 51107, 117120, 22649, 29295, 61304, 43032, 116216, 61689, 9174, 898, 734, 2713, 1061, 746, 117120, 22649, 16144, 44915, 104088, 38144, 64121, 104533, 5486, 102717, 109416, 47260, 70563, 99695, 125651, 9174, 47260, 70563, 99695, 30512, 112391, 127567, 37823, 104774, 29220, 47307, 16144, 20834, 87217, 38641, 106609, 51330, 105933, 55999, 33035, 117120, 22649, 122291, 126101, 5486, 39850, 102741, 105404, 30512, 125174, 20834, 39926, 64121, 104533, 88356, 107740, 29295, 88367, 115717, 33541, 9174, 3, 6820, 1061, 284, 400, 576, 405, 456, 11764, 1061, 545, 693, 1358, 21558, 703, 1379, 11, 400, 1663, 317, 2039, 734, 4148, 1844, 95317, 1150, 703, 5775, 340, 37904, 703, 5775, 681, 5963, 5984, 37904, 703, 5775, 681, 2964, 5984, 114387, 112391, 16556, 55999, 33035, 33208, 29295, 106084, 79721, 106609, 108895, 112990, 99849, 29295, 103424, 118544, 19732, 112844, 19732, 5486, 27452, 116285, 113473, 26854, 119526, 29295, 5963, 19732, 2964, 116749, 20230, 115079, 107800, 110018, 20230, 198, 122489, 54926, 23964, 229, 32938, 29295, 16, 23964, 229, 32938, 16556, 103424, 47884, 109020, 113334, 38641, 9174, 102131, 112990, 33563, 106154, 34171, 29295, 45736, 115737, 31431, 33541, 101832, 9174, 37271, 18904, 15682, 125174, 20834, 30813, 103470, 111243, 23951, 37656, 23964, 229, 32938, 16144, 33857, 15682, 16, 23964, 229, 32938, 67016, 104721, 116547, 107515, 29295, 5486, 27452, 116285, 122489, 23964, 229, 32938, 29295, 125821, 121771, 98369, 105693, 126101, 106767, 17663, 123017, 82973, 29295, 32149, 117295, 15024, 5486, 124572, 20230, 23951, 37656, 118487, 33121, 122291, 33503, 122582, 66953, 41758, 20230, 103721, 233, 29295, 76947, 103801, 61689, 9174, 102131, 16995, 100472, 112997, 29220, 30512, 31809, 30813, 26854, 39850, 102741, 105404, 16556, 125174, 121406, 118733, 114485, 33503, 17663, 105908, 106084, 33541, 1811, 72238, 116366, 33503, 21105, 225, 56040, 9174, 122489, 113115, 39926, 16144, 23951, 37656, 23964, 229, 32938, 15682, 16, 23964, 229, 32938, 103195, 125231, 102677, 104468, 57326, 77750, 32131, 101198, 94550, 122692, 58666, 48864, 72661, 57903, 33541, 9174, 117373, 95221, 116825, 76622, 106956, 104468, 111476, 28713, 53900, 17129, 112361, 117120, 22649, 101983, 103836, 104865, 5486, 59614, 61994, 112535, 112361, 117120, 22649, 101983, 103836, 104865, 104088, 110993, 109315, 109215, 107407, 102677, 100909, 38641, 9174, 28713, 53900, 17129, 117120, 22649, 29295, 112361, 26854, 103378, 103351, 107803, 5486, 74482, 104680, 125174, 118158, 23964, 229, 32938, 20230, 122489, 29295, 109215, 110276, 104983, 5486, 35818, 24273, 16144, 105324, 102802, 121216, 77181, 122489, 29295, 109215, 125743, 5486, 108031, 35818, 24273, 15682, 109215, 100604, 102677, 127749, 29295, 21990, 123606, 5486, 125174, 118158, 39850, 102741, 105404, 107809, 16556, 77195, 17620, 58699, 238, 30512, 21105, 103, 47884, 38144, 112987, 76622, 123733, 31431, 33541, 9174, 125174, 118158, 39850, 102741, 105404, 107809, 16556, 77195, 17620, 58699, 238, 54926, 109215, 34171, 125334, 38144, 105898, 126513, 5486, 17620, 76622, 24273, 30512, 104721, 105262, 40862, 111629, 116787, 5486, 110924, 20230, 43568, 22649, 71289, 31431, 77195, 17620, 58699, 238, 30512, 116155, 112990, 22398, 80805, 105621, 26269, 103906, 121159, 20230, 74245, 113764, 104989, 54926, 100909, 108176, 105879, 61633, 103801, 109954, 1981, 106609, 43514, 26854, 64121, 20230, 37271, 18904, 16144, 107803, 5486, 17, 118821, 39850, 102741, 105404, 20230, 125174, 121216, 79721, 29295, 5486, 88852, 120950, 16, 118821, 39850, 102741, 105404, 117657, 102677, 121507, 57942, 95, 32977, 101182, 106046, 61689, 9174, 693, 400, 41454, 280, 67645, 33121, 120264, 16144, 120566, 27479, 16556, 125174, 121406, 32149, 109853, 15682, 106116, 107420, 109531, 110548, 105352, 105755, 33541, 29295, 115515, 18904, 119775, 115181, 19732, 113473, 26854, 119526, 16144, 21418, 86436, 102677, 198, 77693, 108422, 33121, 16144, 39850, 102741, 105404, 20230, 51609, 13372, 108608, 105933, 113173, 107407, 126513, 31809, 30813, 47884, 17620, 107674, 118881, 29295, 126521, 105933, 95221, 15682, 78434, 9174, 567, 66827, 99, 22649, 16144, 59657, 232, 20230, 51609, 13372, 108608, 106609, 85701, 32977, 102741, 61398, 121159, 16144, 31540, 98499, 34171, 30512, 109415, 30369, 20230, 30591, 28713, 76947, 62004, 42891, 104702, 27384, 30926, 38641, 9174, 30813, 121381, 16144, 121159, 16144, 17039, 106045, 19967, 13153, 16144, 39850, 102741, 105404, 30512, 125174, 17620, 76622, 25580, 19732, 125174, 17620, 76622, 74482, 16556, 125261, 39926, 64121, 17129, 109954, 106609, 17129, 108861, 115847, 120264, 112825, 110904, 26854, 121159, 105110, 110924, 103296, 98499, 104004, 110115, 32149, 117295, 8239, 112, 48634, 15682, 124500, 110104, 16144, 119627, 5486, 125174, 17620, 76622, 126386, 121159, 118816, 111476, 47585, 16144, 117120, 22649, 30512, 98499, 104004, 110115, 116414, 55031, 67645, 103171, 119526, 30512, 115181, 39926, 102532, 117119, 16144, 112603, 29295, 119526, 102832, 61398, 102052, 113473, 26854, 104865, 30512, 98499, 17129, 100604, 102083, 76622, 107515, 9174, 15120, 24273, 104398, 32149, 47884, 125174, 20834, 39926, 120613, 116825, 107674, 24273, 15682, 5486, 37705, 22023, 56051, 119526, 114475, 76622, 18655, 76947, 5486, 110924, 55031, 113473, 26854, 119526, 30512, 21403, 232, 21418, 39926, 55031, 3590, 20230, 47585, 103792, 102677, 105908, 78183, 107277, 33541, 9174, 58426, 126101, 198, 118789, 112535, 67645, 103171, 119526, 114475, 76622, 18655, 76947, 117119, 30512, 21403, 232, 21418, 103792, 32149, 30512, 53283, 30369, 109215, 29295, 103470, 109020, 105879, 5486, 98499, 104004, 39177, 112649, 117295, 47260, 71634, 29295, 62004, 104702, 47884, 104702, 114485, 30369, 116233, 101832, 9174, 125174, 118158, 39850, 102741, 105404, 16144, 23039, 9039, 29295, 115079, 105262, 108680, 5486, 125174, 17620, 76622, 126386, 39850, 102741, 105404, 16144, 98499, 104004, 47260, 71634, 29295, 115079, 58942, 33541, 29295, 5486, 125174, 20834, 109768, 104984, 37087, 47884, 115079, 58942, 107515, 1811, 53283, 33503, 103470, 38144, 126521, 106592, 71493, 57326, 64810, 33710, 33208, 106084, 127280, 9174, 71689, 5486, 37823, 104774, 29220, 47307, 122835, 16144, 57933, 29220, 122842, 16144, 16, 59739, 103195, 39850, 102741, 105404, 16144, 125174, 121216, 109853, 16556, 56051, 106609, 125821, 37823, 104774, 29220, 47307, 20230, 109834, 103868, 107407, 116537, 110371, 22656, 29295, 17663, 48154, 47884, 126521, 106046, 61689, 106609, 44915, 15682, 111108, 102800, 105494, 32977, 127181, 107493, 82973, 29295, 80195, 59739, 108680, 20230, 103868, 125334, 38144, 109749, 16, 119752, 36785, 106046, 61689, 1811, 128001, 128000, 30537, 806, 18904, 198, 567, 116339, 35083, 90581, 105104, 119178, 220, 58426, 19, 198, 2366, 16, 13, 2839, 13, 806, 51107, 198, 33334, 53283, 117063, 198, 51330, 89046, 107121, 29295, 22656, 115717, 79721, 1811, 112371, 104328, 102181, 108847, 72661, 48154, 111182, 72315, 9174, 14711, 4996, 31928, 103306, 16144, 86127, 90581, 78228, 101634, 105104, 47884, 64121, 16144, 108208, 39135, 198, 103794, 125338, 37507, 30369, 102944, 114475, 76622, 19732, 109315, 100909, 1811, 110924, 20230, 96356, 30512, 106644, 36785, 101832, 30369, 100909, 9174, 51330, 105933, 58318, 35083, 9554, 36668, 33014, 16144, 57903, 24273, 15682, 5486, 43240, 119064, 13177, 13372, 17792, 59712, 107430, 17792, 59712, 104067, 17792, 66383, 117952, 104028, 17792, 105459, 113468, 5486, 30813, 31431, 102639, 103470, 102158, 124195, 50834, 79721, 1811, 103031, 33503, 9458, 109453, 120577, 43240, 47884, 15682, 5486, 83301, 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 ]
[ 70563, 48552, 115350, 101634, 29295, 123079, 110731, 104468, 101778, 108931, 109432, 24775, 116366, 56235, 102677, 116245, 16556, 110371, 116245, 20230, 111344, 45923, 103202, 18, 102159, 17620, 20230, 116298, 114737, 54926, 975, 21909, 972, 106090, 26892, 38144, 16144, 109249, 117856, 102923, 102332, 1691, 77062, 253, 19732, 33122, 101275, 77062, 253, 29295, 64531, 104874, 107001, 105908, 103911, 23187, 116216, 61689, 1811, 77181, 111344, 90962, 107805, 70563, 48552, 29295, 105721, 35287, 56051, 74482, 15682, 110371, 115350, 101634, 15682, 67645, 16144, 101200, 108176, 103911, 23187, 26854, 105879, 109954, 32149, 11571, 106609, 567, 119109, 90962, 107805, 70563, 48552, 16144, 115350, 101634, 15682, 88356, 107740, 25580, 29172, 16556, 123079, 110731, 198, 108936, 112535, 90962, 107805, 70563, 48552, 105721, 35287, 123470, 115350, 101634, 15682, 88356, 107740, 54926, 106592, 25580, 29172, 20230, 123079, 116216, 61689, 1811, 111344, 90962, 107805, 70563, 48552, 105721, 35287, 74482, 15682, 5486, 109249, 117856, 102923, 102332, 30512, 111817, 104272, 20230, 23226, 23951, 54926, 121142, 103470, 5486, 1135, 106090, 26892, 38144, 16144, 47307, 102756, 108941, 16073, 104272, 17, 77062, 253, 30512, 123079, 54926, 100909, 117084, 102532, 5486, 40862, 82420, 103664, 20, 11, 13655, 109076, 16144, 111817, 104272, 84844, 110698, 29295, 103911, 23187, 116216, 61689, 9174, 14711, 106982, 16073, 104272, 116749, 16144, 88356, 107740, 82420, 55723, 32977, 198, 108936, 70141, 76622, 16144, 17620, 92148, 110, 111817, 104272, 116749, 105352, 5486, 101778, 108931, 16144, 125053, 56051, 64531, 104874, 82420, 55723, 102052, 5486, 125175, 114308, 45736, 106036, 95, 30046, 70141, 76622, 126783, 71289, 105268, 30046, 70141, 76622, 16144, 122908, 39880, 102040, 115474, 5486, 48915, 29504, 17792, 70141, 76622, 16144, 125175, 39880, 80805, 84477, 73590, 104309, 30512, 123079, 54926, 105908, 96412, 17129, 106824, 61689, 118855, 5486, 104575, 16144, 123079, 103911, 23187, 71289, 33122, 101275, 102923, 102332, 16144, 102717, 32149, 5486, 107167, 122842, 102494, 64178, 71289, 33563, 101662, 32938, 104309, 104654, 20230, 109215, 26854, 102923, 102332, 32977, 64531, 104874, 84389, 112160, 39177, 9554, 126194, 5486, 101544, 23538, 20230, 78183, 28713, 76947, 101987, 64121, 106307, 105784, 105908, 108608, 104773, 29295, 82420, 55723, 116216, 61689, 9174, 112599, 5486, 116366, 56235, 109224, 102052, 124752, 29295, 33035, 107462, 107515, 29295, 5486, 679, 24, 8107, 102052, 72368, 64209, 19732, 122678, 56235, 106966, 72368, 64209, 30512, 102971, 104369, 17039, 102800, 109060, 123141, 103195, 33, 5463, 10110, 118809, 120018, 115201, 37705, 123141, 7705, 29295, 106839, 17701, 107001, 103911, 23187, 117084, 61689, 113637, 33, 5463, 29295, 103911, 23187, 121640, 87447, 33035, 112990, 5486, 72368, 64209, 111363, 39880, 122086, 22398, 29295, 27384, 111044, 20230, 23226, 106594, 107001, 105879, 5486, 111817, 104272, 17620, 92148, 110, 39177, 102052, 27384, 112495, 120098, 115717, 102131, 125651, 9174, 14711, 107732, 72238, 106826, 38248, 115, 78205, 16073, 71289, 76739, 102750, 104774, 103202, 16556, 53610, 72238, 106222, 30512, 61826, 108167, 198, 122270, 118146, 73686, 47884, 112973, 53610, 72238, 106826, 38248, 115, 78205, 16073, 38641, 1811, 53610, 72238, 19732, 108602, 72238, 16144, 116945, 95543, 106608, 16556, 91875, 47884, 114887, 42506, 101721, 107980, 115681, 101918, 70141, 76622, 20230, 53610, 72238, 30512, 84844, 110698, 54926, 102923, 102332, 19732, 110731, 1811, 17620, 92148, 110, 111817, 104272, 16144, 102208, 101987, 109076, 102052, 118006, 11883, 114887, 42506, 101721, 107980, 10110, 76739, 102750, 104774, 103202, 7705, 29295, 102332, 22324, 107001, 100909, 117084, 108086, 5486, 37507, 30369, 125231, 53610, 72238, 106222, 30512, 61826, 108167, 54926, 105908, 104773, 109669, 47884, 111331, 57933, 108941, 105352, 26854, 76947, 61689, 9174, 567, 220, 123011, 62004, 198, 118544, 29295, 16556, 56051, 123253, 32149, 124192, 85707, 16144, 103911, 70203, 30512, 15682, 30369, 111201, 90962, 112164, 11972, 112990, 117952, 115032, 2366, 15, 116358, 111344, 90962, 107805, 70563, 48552, 1811, 87447, 113497, 29295, 60358, 109669, 47884, 107294, 106824, 109466, 31431, 115442, 31431, 104088, 122101, 111344, 90962, 107805, 70563, 48552, 97518, 89046, 16144, 118331, 61398, 119627, 5486, 43240, 109518, 16144, 85188, 35330, 30512, 80172, 17701, 56051, 97518, 89046, 102923, 102332, 29295, 103911, 23187, 121640, 76706, 11883, 84389, 25766, 225, 43244, 253, 101983, 110104, 101200, 5486, 101778, 108931, 70821, 15682, 32977, 43514, 85791, 25827, 5486, 29504, 70821, 37087, 33014, 16556, 112345, 105721, 35287, 74482, 103296, 91774, 106154, 107462, 47884, 109215, 115991, 102131, 38641, 1811, 128001, 128000, 104405, 32977, 116898, 104043, 47884, 38641, 9174, 125894, 76622, 20834, 39926, 83747, 21105, 254, 76622, 39177, 29295, 106613, 100472, 39276, 16144, 6109, 76739, 123581, 114676, 38641, 9174, 118899, 91763, 30297, 16144, 119627, 5486, 37026, 114622, 101513, 76947, 1041, 35757, 106157, 30512, 104736, 109375, 21388, 113529, 54926, 105184, 96455, 45736, 47884, 100604, 112130, 95532, 17129, 108861, 107943, 109335, 22324, 102532, 33334, 102532, 115515, 18904, 15682, 37823, 104774, 29220, 47307, 122835, 16144, 75146, 17920, 236, 116787, 125261, 9554, 112825, 110904, 26854, 13177, 39850, 102741, 105404, 16144, 125174, 121216, 10646, 109853, 112197, 87177, 38641, 106609, 567, 103036, 30813, 26854, 39850, 102741, 105404, 20230, 125174, 121406, 39850, 37823, 67075, 198, 117120, 22649, 30512, 31809, 30813, 26854, 39850, 102741, 105404, 20230, 125174, 121406, 76947, 95604, 104468, 17663, 48154, 47884, 30590, 103868, 26854, 19967, 101275, 119627, 111476, 62004, 104702, 47884, 104702, 8239, 114503, 107407, 37823, 104774, 29220, 47307, 122835, 46034, 25333, 38641, 9174, 58426, 39850, 37823, 67075, 15682, 17, 59739, 106609, 88356, 107740, 88367, 108176, 6447, 66827, 99, 22649, 16144, 59657, 232, 20230, 51609, 13372, 108608, 106609, 77693, 108422, 33121, 103350, 27452, 30512, 39209, 107290, 91774, 100481, 50834, 17129, 109954, 106609, 121159, 15682, 15510, 38641, 9174, 14711, 69839, 235, 107740, 88367, 108176, 198, 27452, 116285, 114387, 112391, 16556, 108526, 103202, 55031, 37705, 22023, 116216, 105898, 112603, 19732, 29220, 76739, 37823, 80805, 32131, 39850, 108337, 114475, 76622, 18655, 76947, 5486, 119526, 102832, 61398, 20230, 47585, 54926, 117120, 22649, 107407, 19732, 78434, 9174, 78328, 284, 3401, 3019, 280, 16212, 284, 3401, 3891, 280, 3, 41454, 284, 1358, 21558, 703, 1379, 11, 400, 1663, 317, 37904, 703, 41454, 681, 5963, 5984, 37904, 703, 41454, 681, 2964, 5984, 534, 6766, 1271, 83887, 102677, 119526, 102832, 61398, 20230, 47585, 54926, 39850, 102741, 105404, 29295, 116414, 32149, 103283, 16144, 110229, 20230, 23187, 104577, 110731, 19732, 124572, 23187, 39926, 72315, 9174, 101682, 76622, 18655, 100472, 112603, 30512, 68759, 78767, 39926, 47585, 103792, 16144, 119627, 116898, 47884, 59739, 32149, 47585, 54926, 126101, 113473, 26854, 119526, 107407, 105879, 5486, 21403, 232, 21418, 39926, 55031, 119526, 102832, 61398, 20230, 47585, 127145, 9174, 53900, 5486, 103283, 16144, 39850, 102741, 105404, 77181, 88852, 120950, 51107, 117120, 22649, 29295, 61304, 43032, 116216, 61689, 9174, 898, 734, 2713, 1061, 746, 117120, 22649, 16144, 44915, 104088, 38144, 64121, 104533, 5486, 102717, 109416, 47260, 70563, 99695, 125651, 9174, 47260, 70563, 99695, 30512, 112391, 127567, 37823, 104774, 29220, 47307, 16144, 20834, 87217, 38641, 106609, 51330, 105933, 55999, 33035, 117120, 22649, 122291, 126101, 5486, 39850, 102741, 105404, 30512, 125174, 20834, 39926, 64121, 104533, 88356, 107740, 29295, 88367, 115717, 33541, 9174, 3, 6820, 1061, 284, 400, 576, 405, 456, 11764, 1061, 545, 693, 1358, 21558, 703, 1379, 11, 400, 1663, 317, 2039, 734, 4148, 1844, 95317, 1150, 703, 5775, 340, 37904, 703, 5775, 681, 5963, 5984, 37904, 703, 5775, 681, 2964, 5984, 114387, 112391, 16556, 55999, 33035, 33208, 29295, 106084, 79721, 106609, 108895, 112990, 99849, 29295, 103424, 118544, 19732, 112844, 19732, 5486, 27452, 116285, 113473, 26854, 119526, 29295, 5963, 19732, 2964, 116749, 20230, 115079, 107800, 110018, 20230, 198, 122489, 54926, 23964, 229, 32938, 29295, 16, 23964, 229, 32938, 16556, 103424, 47884, 109020, 113334, 38641, 9174, 102131, 112990, 33563, 106154, 34171, 29295, 45736, 115737, 31431, 33541, 101832, 9174, 37271, 18904, 15682, 125174, 20834, 30813, 103470, 111243, 23951, 37656, 23964, 229, 32938, 16144, 33857, 15682, 16, 23964, 229, 32938, 67016, 104721, 116547, 107515, 29295, 5486, 27452, 116285, 122489, 23964, 229, 32938, 29295, 125821, 121771, 98369, 105693, 126101, 106767, 17663, 123017, 82973, 29295, 32149, 117295, 15024, 5486, 124572, 20230, 23951, 37656, 118487, 33121, 122291, 33503, 122582, 66953, 41758, 20230, 103721, 233, 29295, 76947, 103801, 61689, 9174, 102131, 16995, 100472, 112997, 29220, 30512, 31809, 30813, 26854, 39850, 102741, 105404, 16556, 125174, 121406, 118733, 114485, 33503, 17663, 105908, 106084, 33541, 1811, 72238, 116366, 33503, 21105, 225, 56040, 9174, 122489, 113115, 39926, 16144, 23951, 37656, 23964, 229, 32938, 15682, 16, 23964, 229, 32938, 103195, 125231, 102677, 104468, 57326, 77750, 32131, 101198, 94550, 122692, 58666, 48864, 72661, 57903, 33541, 9174, 117373, 95221, 116825, 76622, 106956, 104468, 111476, 28713, 53900, 17129, 112361, 117120, 22649, 101983, 103836, 104865, 5486, 59614, 61994, 112535, 112361, 117120, 22649, 101983, 103836, 104865, 104088, 110993, 109315, 109215, 107407, 102677, 100909, 38641, 9174, 28713, 53900, 17129, 117120, 22649, 29295, 112361, 26854, 103378, 103351, 107803, 5486, 74482, 104680, 125174, 118158, 23964, 229, 32938, 20230, 122489, 29295, 109215, 110276, 104983, 5486, 35818, 24273, 16144, 105324, 102802, 121216, 77181, 122489, 29295, 109215, 125743, 5486, 108031, 35818, 24273, 15682, 109215, 100604, 102677, 127749, 29295, 21990, 123606, 5486, 125174, 118158, 39850, 102741, 105404, 107809, 16556, 77195, 17620, 58699, 238, 30512, 21105, 103, 47884, 38144, 112987, 76622, 123733, 31431, 33541, 9174, 125174, 118158, 39850, 102741, 105404, 107809, 16556, 77195, 17620, 58699, 238, 54926, 109215, 34171, 125334, 38144, 105898, 126513, 5486, 17620, 76622, 24273, 30512, 104721, 105262, 40862, 111629, 116787, 5486, 110924, 20230, 43568, 22649, 71289, 31431, 77195, 17620, 58699, 238, 30512, 116155, 112990, 22398, 80805, 105621, 26269, 103906, 121159, 20230, 74245, 113764, 104989, 54926, 100909, 108176, 105879, 61633, 103801, 109954, 1981, 106609, 43514, 26854, 64121, 20230, 37271, 18904, 16144, 107803, 5486, 17, 118821, 39850, 102741, 105404, 20230, 125174, 121216, 79721, 29295, 5486, 88852, 120950, 16, 118821, 39850, 102741, 105404, 117657, 102677, 121507, 57942, 95, 32977, 101182, 106046, 61689, 9174, 693, 400, 41454, 280, 67645, 33121, 120264, 16144, 120566, 27479, 16556, 125174, 121406, 32149, 109853, 15682, 106116, 107420, 109531, 110548, 105352, 105755, 33541, 29295, 115515, 18904, 119775, 115181, 19732, 113473, 26854, 119526, 16144, 21418, 86436, 102677, 198, 77693, 108422, 33121, 16144, 39850, 102741, 105404, 20230, 51609, 13372, 108608, 105933, 113173, 107407, 126513, 31809, 30813, 47884, 17620, 107674, 118881, 29295, 126521, 105933, 95221, 15682, 78434, 9174, 567, 66827, 99, 22649, 16144, 59657, 232, 20230, 51609, 13372, 108608, 106609, 85701, 32977, 102741, 61398, 121159, 16144, 31540, 98499, 34171, 30512, 109415, 30369, 20230, 30591, 28713, 76947, 62004, 42891, 104702, 27384, 30926, 38641, 9174, 30813, 121381, 16144, 121159, 16144, 17039, 106045, 19967, 13153, 16144, 39850, 102741, 105404, 30512, 125174, 17620, 76622, 25580, 19732, 125174, 17620, 76622, 74482, 16556, 125261, 39926, 64121, 17129, 109954, 106609, 17129, 108861, 115847, 120264, 112825, 110904, 26854, 121159, 105110, 110924, 103296, 98499, 104004, 110115, 32149, 117295, 8239, 112, 48634, 15682, 124500, 110104, 16144, 119627, 5486, 125174, 17620, 76622, 126386, 121159, 118816, 111476, 47585, 16144, 117120, 22649, 30512, 98499, 104004, 110115, 116414, 55031, 67645, 103171, 119526, 30512, 115181, 39926, 102532, 117119, 16144, 112603, 29295, 119526, 102832, 61398, 102052, 113473, 26854, 104865, 30512, 98499, 17129, 100604, 102083, 76622, 107515, 9174, 15120, 24273, 104398, 32149, 47884, 125174, 20834, 39926, 120613, 116825, 107674, 24273, 15682, 5486, 37705, 22023, 56051, 119526, 114475, 76622, 18655, 76947, 5486, 110924, 55031, 113473, 26854, 119526, 30512, 21403, 232, 21418, 39926, 55031, 3590, 20230, 47585, 103792, 102677, 105908, 78183, 107277, 33541, 9174, 58426, 126101, 198, 118789, 112535, 67645, 103171, 119526, 114475, 76622, 18655, 76947, 117119, 30512, 21403, 232, 21418, 103792, 32149, 30512, 53283, 30369, 109215, 29295, 103470, 109020, 105879, 5486, 98499, 104004, 39177, 112649, 117295, 47260, 71634, 29295, 62004, 104702, 47884, 104702, 114485, 30369, 116233, 101832, 9174, 125174, 118158, 39850, 102741, 105404, 16144, 23039, 9039, 29295, 115079, 105262, 108680, 5486, 125174, 17620, 76622, 126386, 39850, 102741, 105404, 16144, 98499, 104004, 47260, 71634, 29295, 115079, 58942, 33541, 29295, 5486, 125174, 20834, 109768, 104984, 37087, 47884, 115079, 58942, 107515, 1811, 53283, 33503, 103470, 38144, 126521, 106592, 71493, 57326, 64810, 33710, 33208, 106084, 127280, 9174, 71689, 5486, 37823, 104774, 29220, 47307, 122835, 16144, 57933, 29220, 122842, 16144, 16, 59739, 103195, 39850, 102741, 105404, 16144, 125174, 121216, 109853, 16556, 56051, 106609, 125821, 37823, 104774, 29220, 47307, 20230, 109834, 103868, 107407, 116537, 110371, 22656, 29295, 17663, 48154, 47884, 126521, 106046, 61689, 106609, 44915, 15682, 111108, 102800, 105494, 32977, 127181, 107493, 82973, 29295, 80195, 59739, 108680, 20230, 103868, 125334, 38144, 109749, 16, 119752, 36785, 106046, 61689, 1811, 128001, 128000, 30537, 806, 18904, 198, 567, 116339, 35083, 90581, 105104, 119178, 220, 58426, 19, 198, 2366, 16, 13, 2839, 13, 806, 51107, 198, 33334, 53283, 117063, 198, 51330, 89046, 107121, 29295, 22656, 115717, 79721, 1811, 112371, 104328, 102181, 108847, 72661, 48154, 111182, 72315, 9174, 14711, 4996, 31928, 103306, 16144, 86127, 90581, 78228, 101634, 105104, 47884, 64121, 16144, 108208, 39135, 198, 103794, 125338, 37507, 30369, 102944, 114475, 76622, 19732, 109315, 100909, 1811, 110924, 20230, 96356, 30512, 106644, 36785, 101832, 30369, 100909, 9174, 51330, 105933, 58318, 35083, 9554, 36668, 33014, 16144, 57903, 24273, 15682, 5486, 43240, 119064, 13177, 13372, 17792, 59712, 107430, 17792, 59712, 104067, 17792, 66383, 117952, 104028, 17792, 105459, 113468, 5486, 30813, 31431, 102639, 103470, 102158, 124195, 50834, 79721, 1811, 103031, 33503, 9458, 109453, 120577, 43240, 47884, 15682, 5486, 83301, 16144 ]
[ 110993, 37689, 30512, 99397, 126832, 19732, 5486, 102099, 16144, 106556, 30512, 102158, 30369, 16144, 126194, 36896, 125338, 109749, 48634, 118587, 102158, 31431, 33541, 9174, 108208, 39135, 46729, 16556, 114516, 29504, 104734, 16144, 78228, 101634, 105104, 47884, 64121, 117940, 5486, 103721, 108, 31431, 104196, 15024, 13177, 39135, 30512, 16995, 90620, 47884, 66383, 95604, 120267, 24273, 30512, 78434, 1811, 109453, 15682, 44620, 39135, 30512, 116340, 16556, 30369, 36761, 107809, 16556, 5486, 33671, 119775, 78244, 61689, 9174, 101182, 114754, 5486, 108895, 95604, 39135, 30512, 108208, 62004, 106956, 106046, 76947, 110371, 105301, 76505, 19732, 51330, 105301, 76505, 119707, 76622, 114146, 38144, 64121, 28713, 29295, 106116, 39135, 102052, 105110, 104435, 123213, 112649, 102532, 101182, 19732, 108086, 20230, 56051, 110115, 5486, 102677, 9174, 122571, 110480, 33144, 29295, 116900, 36785, 119150, 1811, 105301, 76505, 29295, 17663, 16556, 20230, 108623, 119188, 39135, 30512, 86127, 127282, 16995, 90620, 119064, 103195, 55031, 1811, 67645, 103171, 39135, 125334, 30369, 32149, 108048, 15682, 105301, 76505, 17129, 32149, 72342, 103195, 1811, 90620, 115408, 127282, 105301, 76505, 123017, 103836, 39135, 30512, 108608, 103378, 125173, 26854, 124059, 20230, 117896, 110366, 20230, 109249, 17663, 16144, 103195, 1811, 127012, 78228, 101634, 2550, 24, 5232, 845, 119185, 198, 78228, 101634, 98369, 125030, 76947, 5486, 39135, 15682, 114516, 29295, 19967, 30369, 102944, 77181, 124897, 1811, 125338, 37507, 30369, 102944, 38641, 1811, 108208, 39135, 46729, 20230, 108608, 109335, 36896, 39135, 30512, 108608, 103378, 125173, 26854, 124059, 20230, 117896, 110366, 20230, 109249, 17663, 10646, 100909, 38641, 66327, 86127, 10646, 15682, 5486, 39135, 29295, 109249, 30369, 13177, 32648, 117503, 105933, 48706, 38641, 9174, 78228, 101634, 117940, 5486, 112361, 22656, 16144, 26854, 32149, 16556, 36896, 39135, 118587, 13177, 127880, 110229, 20230, 125338, 109749, 127032, 120950, 102944, 36785, 66383, 78244, 61689, 1811, 105184, 111201, 105994, 29295, 117876, 30512, 15024, 108048, 113468, 100853, 116, 20230, 39135, 29295, 102321, 33121, 33541, 119520, 108048, 15682, 13177, 116414, 32149, 15120, 87217, 102831, 24186, 16144, 110229, 77181, 16995, 90620, 50834, 102944, 10646, 116787, 36896, 30813, 101860, 107277, 102944, 10646, 38641, 66327, 86127, 10646, 15682, 5486, 39135, 19732, 100853, 116, 16144, 111267, 75910, 20230, 120195, 107515, 9174, 14711, 114137, 103932, 106594, 116366, 16144, 122735, 105242, 198, 51330, 105933, 99750, 112854, 15682, 5486, 108208, 39135, 16144, 102616, 125030, 67645, 109709, 107515, 1811, 122735, 46729, 16144, 74090, 103932, 106594, 116366, 98369, 32977, 42016, 103826, 16144, 106592, 102158, 76947, 61689, 9174, 74090, 103932, 117940, 118133, 16995, 102800, 102944, 118587, 114516, 29295, 59739, 109749, 102677, 113727, 24273, 30512, 33476, 23187, 78434, 66327, 33334, 16995, 21105, 243, 10646, 15682, 125338, 37507, 30369, 102944, 116787, 36896, 48154, 106782, 240, 58666, 10646, 103195, 1811, 122735, 116537, 5486, 72238, 103234, 19732, 122735, 16144, 111267, 75910, 20230, 120195, 101860, 5486, 109683, 20230, 117989, 16995, 106272, 108048, 30512, 64531, 105262, 100909, 67016, 118765, 1811, 102131, 102158, 31431, 33541, 9174, 74090, 103932, 117940, 36896, 15120, 21980, 223, 15120, 108171, 66383, 95604, 102456, 30926, 16144, 57903, 24273, 30512, 29172, 110125, 78434, 118844, 15682, 103868, 101042, 234, 21980, 223, 120950, 13177, 21980, 223, 53953, 15120, 25446, 66383, 78256, 105, 53953, 123160, 13177, 33565, 96, 108171, 15120, 25446, 10646, 5486, 77693, 20230, 13177, 48154, 114053, 66383, 95604, 103214, 64121, 114146, 16556, 104712, 102677, 113727, 24273, 38641, 1811, 103868, 101042, 234, 21980, 223, 107809, 102052, 5486, 105343, 107792, 16144, 102212, 108171, 104309, 30512, 125639, 33541, 124845, 5486, 20834, 21980, 223, 30512, 19732, 110104, 1811, 103868, 122382, 15682, 103868, 101042, 234, 116771, 16556, 5486, 102212, 108171, 123160, 77913, 103234, 16144, 103868, 29295, 110924, 20230, 21601, 116547, 33541, 9174, 74090, 103932, 117940, 5486, 33671, 119775, 119852, 61689, 9174, 126843, 15682, 5486, 114754, 112909, 21601, 105262, 117382, 16144, 122735, 30512, 5486, 121771, 98369, 33014, 111186, 54926, 125231, 125651, 109900, 29295, 15120, 21980, 223, 15120, 108171, 38641, 1811, 48154, 114053, 19732, 64121, 27929, 21980, 223, 19732, 126268, 32977, 25827, 29295, 108729, 38641, 1811, 110924, 117083, 33334, 16995, 21105, 243, 15682, 5486, 114516, 101275, 111769, 16144, 38641, 1811, 107707, 48634, 77181, 33334, 16995, 106624, 54926, 100909, 16144, 118765, 102616, 38641, 1811, 64121, 27929, 123160, 102404, 100845, 113, 119008, 15682, 50034, 112027, 119279, 16995, 21105, 243, 116825, 47884, 76947, 61689, 1811, 38641, 55031, 5486, 64121, 27929, 21980, 223, 15682, 127919, 47884, 111243, 5486, 116213, 47884, 111243, 5486, 107969, 47884, 111243, 5486, 106142, 121771, 111243, 86348, 33334, 16995, 102800, 1811, 114516, 102052, 126843, 47884, 54926, 100909, 30813, 58942, 103082, 107515, 1811, 102131, 16995, 100472, 121410, 117073, 31634, 108176, 102456, 104654, 29295, 5486, 99750, 34171, 30512, 119515, 111201, 39926, 124089, 19732, 115408, 15682, 78698, 107290, 61689, 1811, 127012, 74090, 103932, 2366, 15, 119185, 198, 74090, 103932, 121944, 30832, 64467, 17663, 122735, 15682, 13177, 114516, 101275, 111769, 10646, 122735, 38641, 1811, 114516, 20230, 108608, 109335, 48249, 125398, 127211, 102769, 26854, 104468, 5486, 109683, 16144, 123457, 9444, 123, 120938, 20230, 109249, 17663, 100909, 1811, 110924, 20230, 37026, 101860, 19732, 118133, 16995, 21105, 243, 10646, 29295, 102321, 33121, 5486, 122735, 29295, 61648, 54926, 66327, 33334, 122735, 30512, 22324, 102334, 33503, 5486, 109466, 31431, 122382, 29295, 105721, 78183, 100472, 33503, 5486, 110924, 20230, 114516, 29295, 108618, 100472, 110706, 124324, 116233, 1811, 114516, 15682, 5486, 33420, 107290, 103470, 105110, 100604, 102083, 124324, 10646, 127012, 74090, 103932, 9458, 16325, 102687, 2366, 15, 5232, 1591, 119185, 9174, 74090, 103932, 117940, 103868, 101042, 234, 67178, 111331, 68759, 112900, 102514, 9458, 116169, 101129, 106340, 98369, 109853, 5486, 33671, 119775, 119852, 61689, 9174, 44620, 103424, 50834, 103882, 5486, 103424, 50834, 103868, 101042, 234, 15682, 114516, 29295, 19967, 30369, 102944, 111769, 5486, 105464, 29295, 19967, 100472, 104309, 106046, 16995, 115442, 30369, 64209, 15682, 104195, 47884, 120544, 62004, 123207, 105110, 100604, 36761, 19732, 40526, 23706, 244, 119775, 112844, 103350, 74245, 26854, 17792, 120910, 127012, 74090, 103932, 679, 21, 64, 5232, 10828, 119185, 198, 126521, 103882, 32977, 5486, 126521, 103868, 101042, 234, 32977, 5486, 114516, 16144, 19967, 101399, 34171, 113468, 19967, 110071, 102944, 111769, 109807, 118133, 16995, 21105, 243, 10646, 15682, 109249, 30369, 102944, 38641, 1811, 109860, 5486, 122735, 114754, 101790, 104, 62004, 123207, 105110, 100604, 104468, 36896, 114387, 33334, 16995, 102800, 102944, 126694, 100472, 104468, 86127, 36785, 66383, 95604, 114284, 115442, 31431, 38641, 9174, 14711, 114577, 117813, 16144, 58318, 35083, 34171, 198, 78228, 101634, 98369, 19732, 74090, 103932, 98369, 102052, 5486, 55999, 33035, 28542, 115991, 33541, 109900, 15682, 13177, 70821, 117813, 117503, 57903, 24273, 20230, 5486, 122074, 109904, 117375, 114475, 76622, 100934, 28542, 38641, 9174, 70821, 117813, 107118, 13177, 70821, 123378, 9554, 49792, 117813, 117503, 105838, 16556, 5486, 119283, 106699, 101128, 99, 30512, 104356, 20230, 103232, 103932, 15973, 105, 33671, 104703, 5486, 102754, 109, 101129, 112313, 65743, 33503, 113468, 29172, 110125, 84389, 79721, 127211, 37656, 113146, 16144, 105721, 116547, 48154, 85791, 16144, 100909, 38641, 9174, 70821, 117813, 16144, 107693, 34171, 15682, 106116, 58318, 35083, 34171, 20230, 57903, 33541, 1811, 43240, 119064, 117813, 103991, 46729, 15682, 5486, 58666, 102800, 106942, 126694, 103950, 103306, 5486, 72238, 103234, 121254, 50834, 40862, 61689, 119520, 5486, 112361, 83799, 16144, 9080, 117851, 126694, 31431, 106307, 76622, 100934, 116537, 5486, 58666, 102800, 102944, 126694, 103950, 114016, 116898, 43514, 16995, 43514, 113727, 100481, 107515, 1811, 121410, 117073, 117876, 30512, 104257, 121370, 20230, 5486, 80539, 115891, 104680, 19732, 22957, 26854, 78434, 9174, 119283, 15682, 110382, 20230, 82420, 110706, 30512, 72404, 107800, 13177, 11883, 16144, 58666, 10646, 29295, 102321, 104028, 19732, 78244, 61689, 1811, 58666, 102800, 102944, 126694, 103950, 19732, 112990, 5486, 106942, 15682, 114516, 16144, 30813, 123772, 33503, 26854, 19967, 101399, 34171, 20230, 17129, 64121, 33121, 5486, 58666, 29295, 110074, 102639, 100481, 50834, 33541, 1811, 107693, 26854, 104468, 5486, 114640, 30512, 72404, 107800, 102944, 29295, 109249, 30369, 100909, 1811, 58666, 15682, 19967, 30369, 16144, 126194, 123334, 76947, 109749, 16144, 38641, 9174, 78228, 101634, 117940, 5486, 119283, 29295, 44620, 25333, 19732, 58666, 36761, 107809, 16556, 13177, 104611, 6271, 237, 29295, 104611, 6271, 237, 17663, 66383, 43032, 103854, 100934, 120266, 109835, 33121, 5486, 33671, 119775, 119852, 61689, 9174, 119283, 105408, 15682, 58426, 16325, 16556, 5486, 105576, 45829, 91739, 107, 16144, 13177, 58911, 53610, 74090, 118977, 117503, 27452, 30512, 19732, 76947, 5486, 48154, 47884, 50211, 118641, 26854, 70821, 32648, 103195, 29295, 5486, 74090, 118977, 20230, 58911, 53610, 30512, 110240, 47884, 22656, 17792, 32977, 117119, 30512, 110240, 50834, 120953, 32149, 110240, 47884, 104865, 32977, 112727, 104028, 108680, 46034, 103856, 47884, 85315, 222, 64121, 103470, 99849, 103633, 18904, 117119, 32307, 18904, 19732, 110240, 50834, 106307, 105784, 121906, 95604, 121894, 109156, 100472, 39177, 5486, 110240, 47884, 30926, 29295, 110240, 119188, 102677, 5486, 59739, 109709, 33334, 16144, 101860, 55031, 117876, 29295, 117876, 30512, 103792, 5486, 114516, 19732, 117876, 29295, 108064, 16144, 17129, 112649, 15120, 33014, 101983, 103836, 102677, 106592, 16995, 78183, 115032, 16144, 103195, 1811, 127012, 78228, 101634, 2550, 24, 5232, 10861, 119185, 198, 114516, 29295, 117876, 19732, 15120, 33014, 33208, 112990, 5486, 110924, 55031, 114516, 16144, 114640, 29295, 33420, 58942, 100481, 50834, 33541, 1811, 112990, 5486, 117876, 29295, 117876, 30512, 15024, 27704, 109315, 1811, 90962, 84477, 68759, 103906, 48552, 20230, 53953, 30926, 29295, 91875, 16995, 100481, 47884, 66327, 58666, 102800, 102944, 126694, 103950, 66383, 95604, 123296, 104611, 30512, 72404, 107800, 13177, 58666, 10646, 29295, 109249, 30369, 113637, 58318, 35083, 9554, 106391, 67178, 127105, 29295, 5486, 119283, 16144, 32018, 109013, 13177, 70821, 117813, 117503, 113116, 116787, 5486, 78228, 101634, 115867, 39135, 113115, 54926, 39880, 107420, 113335, 38641, 9174, 74090, 103932, 98369, 32977, 112361, 47884, 5486, 70821, 117813, 20230, 27384, 112495, 117375, 114475, 107441, 61689, 1811, 74090, 103932, 117940, 5486, 105268, 50834, 9080, 112160, 89753, 16144, 122735, 17792, 101983, 103950, 19732, 113727, 5486, 112673, 118517, 26269, 80805, 20230, 23951, 101275, 120650, 50834, 33541, 124845, 5486, 112454, 29504, 74482, 32977, 5486, 34208, 102456, 122735, 17792, 103306, 117395, 30512, 118368, 50834, 5486, 101198, 107271, 93488, 102472, 114265, 20230, 107121, 30369, 105933, 122735, 72516, 30512, 106391, 105262, 106592, 113871, 91774, 33541, 9174, 80673, 5486, 118006, 122735, 16144, 103572, 82317, 20230, 107542, 48634, 107113, 104503, 9458, 74090, 103932, 104284, 55031, 5486, 122735, 104575, 30512, 46034, 108044, 30297, 104466, 117952, 33121, 79721, 124192, 85707, 15682, 13177, 26854, 104127, 86127, 29295, 118006, 122735, 30512, 72342, 26854, 30591, 32149, 25827, 16144, 66383, 102936, 124533, 15024, 5486, 101128, 102, 64121, 69847, 118816, 78244, 61689, 119520, 5486, 101182, 20834, 38093, 16995, 113468, 101426, 29295, 104364, 15024, 121423, 33541, 109900, 15682, 5486, 108931, 117083, 103232, 103932, 15973, 249, 33671, 104703, 61304, 104611, 104517, 110792, 20834, 38093, 117201, 56051, 9174, 70821, 117813, 117401, 30512, 84851, 103130, 56051, 103232, 103932, 16144, 106942, 9458, 101987, 17129, 119178, 116310, 17129, 103468, 110018, 5486, 74090, 103932, 117940, 13177, 118006, 122735, 15682, 5486, 70821, 117813, 71289, 66383, 91763, 100472, 19732, 78244, 61689, 9174, 9080, 40053, 16144, 37656, 102800, 127331, 124949, 20230, 108948, 16144, 101860, 55031, 58666, 102800, 102944, 29295, 21990, 17129, 106824, 109749, 102677, 70821, 116178, 16144, 64209, 20230, 109835, 103468, 110018, 36896, 115690, 115847, 76947, 118006, 122735, 19732, 126419, 71289, 5486, 118006, 122735, 15682, 70821, 116178, 105321, 71289, 66383, 95604, 105184, 22023, 29295, 85707, 107436, 69978, 38144, 28713, 1811, 102131, 15017, 231, 107800, 33503, 36896, 85701, 15682, 71289, 31431, 125001, 107407, 102616, 71289, 66383, 91763, 105262, 101200, 115717, 79721, 1811, 127012, 74090, 103932, 5232, 679, 22, 119185, 198, 74090, 103932, 117940, 5486, 110382, 55031, 27384, 112495, 112169, 108436, 109033, 30512, 106613, 111186, 78434, 66327, 33334, 16995, 102800, 102944, 10646, 71289, 13177, 58666, 102800, 102944, 118587, 19967, 103950, 103306, 112987, 124324, 1811, 122735, 29295, 122735, 54926, 101200, 101983, 33503, 123207, 105110, 100604, 1811, 115364, 82420, 110706, 71289, 114640, 29295, 33420, 58942, 5486, 30868, 247, 104680, 19732, 117876, 20230, 72027, 103892, 54926, 1811, 102131, 112990, 72238, 103234, 29295, 105994, 20230, 108385, 31431, 114001, 16995, 108948, 16995, 102800, 102944, 29295, 102321, 104028, 1811, 107943, 70821, 117813, 9554, 122735, 30512, 64467, 70141, 78434, 9174, 33334, 16995, 21105, 243, 71289, 58666, 21105, 243, 30512, 32018, 107436, 32977, 110074, 102639, 100481, 47884, 55031, 5486, 37656, 74245, 20230, 5486, 109134, 125231, 106592, 21105, 96, 107277, 106154, 76947, 5486, 115891, 104680, 19732, 117876, 123410, 1811, 112990, 113702, 112535, 5486, 58666, 102800, 102944, 29295, 103082, 30591, 29295, 30369, 1811, 127012, 74090, 103932, 679, 22, 119185, 198, 110382, 105352, 58318, 35083, 109904, 36668, 33014, 16144, 57903, 24273, 29295, 5486, 21405, 102321, 116216, 61689, 9174, 104817, 43167, 34048, 55031, 112197, 53283, 117063, 198, 14711, 114137, 103932, 106594, 116366, 18028, 16325, 102687, 125211, 78228, 103359, 111813, 45631, 122735, 15682, 30297, 33121, 102800, 108948, 16995, 102800, 15682, 48154, 118881, 102802, 115204, 39880, 38248, 104, 25197, 52884, 91875, 55723, 30512, 117232, 119379, 55487, 22023, 16325, 38641, 106609, 74090, 103932, 106594, 116366, 98369, 19732, 16325, 102687, 125211, 78228, 98369, 111848, 17039, 107680, 44620, 122735, 19732, 60632, 43511, 36761, 102404, 107680, 61304, 104611, 16556, 23039, 125167, 110191, 118372, 25197, 102832, 52414, 13177, 122735, 15682, 30297, 33121, 102800, 108948, 16995, 102800, 15682, 48154, 118881, 102802, 115204, 16144, 39880, 38248, 104, 25197, 52884 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 110993, 37689, 30512, 99397, 126832, 19732, 5486, 102099, 16144, 106556, 30512, 102158, 30369, 16144, 126194, 36896, 125338, 109749, 48634, 118587, 102158, 31431, 33541, 9174, 108208, 39135, 46729, 16556, 114516, 29504, 104734, 16144, 78228, 101634, 105104, 47884, 64121, 117940, 5486, 103721, 108, 31431, 104196, 15024, 13177, 39135, 30512, 16995, 90620, 47884, 66383, 95604, 120267, 24273, 30512, 78434, 1811, 109453, 15682, 44620, 39135, 30512, 116340, 16556, 30369, 36761, 107809, 16556, 5486, 33671, 119775, 78244, 61689, 9174, 101182, 114754, 5486, 108895, 95604, 39135, 30512, 108208, 62004, 106956, 106046, 76947, 110371, 105301, 76505, 19732, 51330, 105301, 76505, 119707, 76622, 114146, 38144, 64121, 28713, 29295, 106116, 39135, 102052, 105110, 104435, 123213, 112649, 102532, 101182, 19732, 108086, 20230, 56051, 110115, 5486, 102677, 9174, 122571, 110480, 33144, 29295, 116900, 36785, 119150, 1811, 105301, 76505, 29295, 17663, 16556, 20230, 108623, 119188, 39135, 30512, 86127, 127282, 16995, 90620, 119064, 103195, 55031, 1811, 67645, 103171, 39135, 125334, 30369, 32149, 108048, 15682, 105301, 76505, 17129, 32149, 72342, 103195, 1811, 90620, 115408, 127282, 105301, 76505, 123017, 103836, 39135, 30512, 108608, 103378, 125173, 26854, 124059, 20230, 117896, 110366, 20230, 109249, 17663, 16144, 103195, 1811, 127012, 78228, 101634, 2550, 24, 5232, 845, 119185, 198, 78228, 101634, 98369, 125030, 76947, 5486, 39135, 15682, 114516, 29295, 19967, 30369, 102944, 77181, 124897, 1811, 125338, 37507, 30369, 102944, 38641, 1811, 108208, 39135, 46729, 20230, 108608, 109335, 36896, 39135, 30512, 108608, 103378, 125173, 26854, 124059, 20230, 117896, 110366, 20230, 109249, 17663, 10646, 100909, 38641, 66327, 86127, 10646, 15682, 5486, 39135, 29295, 109249, 30369, 13177, 32648, 117503, 105933, 48706, 38641, 9174, 78228, 101634, 117940, 5486, 112361, 22656, 16144, 26854, 32149, 16556, 36896, 39135, 118587, 13177, 127880, 110229, 20230, 125338, 109749, 127032, 120950, 102944, 36785, 66383, 78244, 61689, 1811, 105184, 111201, 105994, 29295, 117876, 30512, 15024, 108048, 113468, 100853, 116, 20230, 39135, 29295, 102321, 33121, 33541, 119520, 108048, 15682, 13177, 116414, 32149, 15120, 87217, 102831, 24186, 16144, 110229, 77181, 16995, 90620, 50834, 102944, 10646, 116787, 36896, 30813, 101860, 107277, 102944, 10646, 38641, 66327, 86127, 10646, 15682, 5486, 39135, 19732, 100853, 116, 16144, 111267, 75910, 20230, 120195, 107515, 9174, 14711, 114137, 103932, 106594, 116366, 16144, 122735, 105242, 198, 51330, 105933, 99750, 112854, 15682, 5486, 108208, 39135, 16144, 102616, 125030, 67645, 109709, 107515, 1811, 122735, 46729, 16144, 74090, 103932, 106594, 116366, 98369, 32977, 42016, 103826, 16144, 106592, 102158, 76947, 61689, 9174, 74090, 103932, 117940, 118133, 16995, 102800, 102944, 118587, 114516, 29295, 59739, 109749, 102677, 113727, 24273, 30512, 33476, 23187, 78434, 66327, 33334, 16995, 21105, 243, 10646, 15682, 125338, 37507, 30369, 102944, 116787, 36896, 48154, 106782, 240, 58666, 10646, 103195, 1811, 122735, 116537, 5486, 72238, 103234, 19732, 122735, 16144, 111267, 75910, 20230, 120195, 101860, 5486, 109683, 20230, 117989, 16995, 106272, 108048, 30512, 64531, 105262, 100909, 67016, 118765, 1811, 102131, 102158, 31431, 33541, 9174, 74090, 103932, 117940, 36896, 15120, 21980, 223, 15120, 108171, 66383, 95604, 102456, 30926, 16144, 57903, 24273, 30512, 29172, 110125, 78434, 118844, 15682, 103868, 101042, 234, 21980, 223, 120950, 13177, 21980, 223, 53953, 15120, 25446, 66383, 78256, 105, 53953, 123160, 13177, 33565, 96, 108171, 15120, 25446, 10646, 5486, 77693, 20230, 13177, 48154, 114053, 66383, 95604, 103214, 64121, 114146, 16556, 104712, 102677, 113727, 24273, 38641, 1811, 103868, 101042, 234, 21980, 223, 107809, 102052, 5486, 105343, 107792, 16144, 102212, 108171, 104309, 30512, 125639, 33541, 124845, 5486, 20834, 21980, 223, 30512, 19732, 110104, 1811, 103868, 122382, 15682, 103868, 101042, 234, 116771, 16556, 5486, 102212, 108171, 123160, 77913, 103234, 16144, 103868, 29295, 110924, 20230, 21601, 116547, 33541, 9174, 74090, 103932, 117940, 5486, 33671, 119775, 119852, 61689, 9174, 126843, 15682, 5486, 114754, 112909, 21601, 105262, 117382, 16144, 122735, 30512, 5486, 121771, 98369, 33014, 111186, 54926, 125231, 125651, 109900, 29295, 15120, 21980, 223, 15120, 108171, 38641, 1811, 48154, 114053, 19732, 64121, 27929, 21980, 223, 19732, 126268, 32977, 25827, 29295, 108729, 38641, 1811, 110924, 117083, 33334, 16995, 21105, 243, 15682, 5486, 114516, 101275, 111769, 16144, 38641, 1811, 107707, 48634, 77181, 33334, 16995, 106624, 54926, 100909, 16144, 118765, 102616, 38641, 1811, 64121, 27929, 123160, 102404, 100845, 113, 119008, 15682, 50034, 112027, 119279, 16995, 21105, 243, 116825, 47884, 76947, 61689, 1811, 38641, 55031, 5486, 64121, 27929, 21980, 223, 15682, 127919, 47884, 111243, 5486, 116213, 47884, 111243, 5486, 107969, 47884, 111243, 5486, 106142, 121771, 111243, 86348, 33334, 16995, 102800, 1811, 114516, 102052, 126843, 47884, 54926, 100909, 30813, 58942, 103082, 107515, 1811, 102131, 16995, 100472, 121410, 117073, 31634, 108176, 102456, 104654, 29295, 5486, 99750, 34171, 30512, 119515, 111201, 39926, 124089, 19732, 115408, 15682, 78698, 107290, 61689, 1811, 127012, 74090, 103932, 2366, 15, 119185, 198, 74090, 103932, 121944, 30832, 64467, 17663, 122735, 15682, 13177, 114516, 101275, 111769, 10646, 122735, 38641, 1811, 114516, 20230, 108608, 109335, 48249, 125398, 127211, 102769, 26854, 104468, 5486, 109683, 16144, 123457, 9444, 123, 120938, 20230, 109249, 17663, 100909, 1811, 110924, 20230, 37026, 101860, 19732, 118133, 16995, 21105, 243, 10646, 29295, 102321, 33121, 5486, 122735, 29295, 61648, 54926, 66327, 33334, 122735, 30512, 22324, 102334, 33503, 5486, 109466, 31431, 122382, 29295, 105721, 78183, 100472, 33503, 5486, 110924, 20230, 114516, 29295, 108618, 100472, 110706, 124324, 116233, 1811, 114516, 15682, 5486, 33420, 107290, 103470, 105110, 100604, 102083, 124324, 10646, 127012, 74090, 103932, 9458, 16325, 102687, 2366, 15, 5232, 1591, 119185, 9174, 74090, 103932, 117940, 103868, 101042, 234, 67178, 111331, 68759, 112900, 102514, 9458, 116169, 101129, 106340, 98369, 109853, 5486, 33671, 119775, 119852, 61689, 9174, 44620, 103424, 50834, 103882, 5486, 103424, 50834, 103868, 101042, 234, 15682, 114516, 29295, 19967, 30369, 102944, 111769, 5486, 105464, 29295, 19967, 100472, 104309, 106046, 16995, 115442, 30369, 64209, 15682, 104195, 47884, 120544, 62004, 123207, 105110, 100604, 36761, 19732, 40526, 23706, 244, 119775, 112844, 103350, 74245, 26854, 17792, 120910, 127012, 74090, 103932, 679, 21, 64, 5232, 10828, 119185, 198, 126521, 103882, 32977, 5486, 126521, 103868, 101042, 234, 32977, 5486, 114516, 16144, 19967, 101399, 34171, 113468, 19967, 110071, 102944, 111769, 109807, 118133, 16995, 21105, 243, 10646, 15682, 109249, 30369, 102944, 38641, 1811, 109860, 5486, 122735, 114754, 101790, 104, 62004, 123207, 105110, 100604, 104468, 36896, 114387, 33334, 16995, 102800, 102944, 126694, 100472, 104468, 86127, 36785, 66383, 95604, 114284, 115442, 31431, 38641, 9174, 14711, 114577, 117813, 16144, 58318, 35083, 34171, 198, 78228, 101634, 98369, 19732, 74090, 103932, 98369, 102052, 5486, 55999, 33035, 28542, 115991, 33541, 109900, 15682, 13177, 70821, 117813, 117503, 57903, 24273, 20230, 5486, 122074, 109904, 117375, 114475, 76622, 100934, 28542, 38641, 9174, 70821, 117813, 107118, 13177, 70821, 123378, 9554, 49792, 117813, 117503, 105838, 16556, 5486, 119283, 106699, 101128, 99, 30512, 104356, 20230, 103232, 103932, 15973, 105, 33671, 104703, 5486, 102754, 109, 101129, 112313, 65743, 33503, 113468, 29172, 110125, 84389, 79721, 127211, 37656, 113146, 16144, 105721, 116547, 48154, 85791, 16144, 100909, 38641, 9174, 70821, 117813, 16144, 107693, 34171, 15682, 106116, 58318, 35083, 34171, 20230, 57903, 33541, 1811, 43240, 119064, 117813, 103991, 46729, 15682, 5486, 58666, 102800, 106942, 126694, 103950, 103306, 5486, 72238, 103234, 121254, 50834, 40862, 61689, 119520, 5486, 112361, 83799, 16144, 9080, 117851, 126694, 31431, 106307, 76622, 100934, 116537, 5486, 58666, 102800, 102944, 126694, 103950, 114016, 116898, 43514, 16995, 43514, 113727, 100481, 107515, 1811, 121410, 117073, 117876, 30512, 104257, 121370, 20230, 5486, 80539, 115891, 104680, 19732, 22957, 26854, 78434, 9174, 119283, 15682, 110382, 20230, 82420, 110706, 30512, 72404, 107800, 13177, 11883, 16144, 58666, 10646, 29295, 102321, 104028, 19732, 78244, 61689, 1811, 58666, 102800, 102944, 126694, 103950, 19732, 112990, 5486, 106942, 15682, 114516, 16144, 30813, 123772, 33503, 26854, 19967, 101399, 34171, 20230, 17129, 64121, 33121, 5486, 58666, 29295, 110074, 102639, 100481, 50834, 33541, 1811, 107693, 26854, 104468, 5486, 114640, 30512, 72404, 107800, 102944, 29295, 109249, 30369, 100909, 1811, 58666, 15682, 19967, 30369, 16144, 126194, 123334, 76947, 109749, 16144, 38641, 9174, 78228, 101634, 117940, 5486, 119283, 29295, 44620, 25333, 19732, 58666, 36761, 107809, 16556, 13177, 104611, 6271, 237, 29295, 104611, 6271, 237, 17663, 66383, 43032, 103854, 100934, 120266, 109835, 33121, 5486, 33671, 119775, 119852, 61689, 9174, 119283, 105408, 15682, 58426, 16325, 16556, 5486, 105576, 45829, 91739, 107, 16144, 13177, 58911, 53610, 74090, 118977, 117503, 27452, 30512, 19732, 76947, 5486, 48154, 47884, 50211, 118641, 26854, 70821, 32648, 103195, 29295, 5486, 74090, 118977, 20230, 58911, 53610, 30512, 110240, 47884, 22656, 17792, 32977, 117119, 30512, 110240, 50834, 120953, 32149, 110240, 47884, 104865, 32977, 112727, 104028, 108680, 46034, 103856, 47884, 85315, 222, 64121, 103470, 99849, 103633, 18904, 117119, 32307, 18904, 19732, 110240, 50834, 106307, 105784, 121906, 95604, 121894, 109156, 100472, 39177, 5486, 110240, 47884, 30926, 29295, 110240, 119188, 102677, 5486, 59739, 109709, 33334, 16144, 101860, 55031, 117876, 29295, 117876, 30512, 103792, 5486, 114516, 19732, 117876, 29295, 108064, 16144, 17129, 112649, 15120, 33014, 101983, 103836, 102677, 106592, 16995, 78183, 115032, 16144, 103195, 1811, 127012, 78228, 101634, 2550, 24, 5232, 10861, 119185, 198, 114516, 29295, 117876, 19732, 15120, 33014, 33208, 112990, 5486, 110924, 55031, 114516, 16144, 114640, 29295, 33420, 58942, 100481, 50834, 33541, 1811, 112990, 5486, 117876, 29295, 117876, 30512, 15024, 27704, 109315, 1811, 90962, 84477, 68759, 103906, 48552, 20230, 53953, 30926, 29295, 91875, 16995, 100481, 47884, 66327, 58666, 102800, 102944, 126694, 103950, 66383, 95604, 123296, 104611, 30512, 72404, 107800, 13177, 58666, 10646, 29295, 109249, 30369, 113637, 58318, 35083, 9554, 106391, 67178, 127105, 29295, 5486, 119283, 16144, 32018, 109013, 13177, 70821, 117813, 117503, 113116, 116787, 5486, 78228, 101634, 115867, 39135, 113115, 54926, 39880, 107420, 113335, 38641, 9174, 74090, 103932, 98369, 32977, 112361, 47884, 5486, 70821, 117813, 20230, 27384, 112495, 117375, 114475, 107441, 61689, 1811, 74090, 103932, 117940, 5486, 105268, 50834, 9080, 112160, 89753, 16144, 122735, 17792, 101983, 103950, 19732, 113727, 5486, 112673, 118517, 26269, 80805, 20230, 23951, 101275, 120650, 50834, 33541, 124845, 5486, 112454, 29504, 74482, 32977, 5486, 34208, 102456, 122735, 17792, 103306, 117395, 30512, 118368, 50834, 5486, 101198, 107271, 93488, 102472, 114265, 20230, 107121, 30369, 105933, 122735, 72516, 30512, 106391, 105262, 106592, 113871, 91774, 33541, 9174, 80673, 5486, 118006, 122735, 16144, 103572, 82317, 20230, 107542, 48634, 107113, 104503, 9458, 74090, 103932, 104284, 55031, 5486, 122735, 104575, 30512, 46034, 108044, 30297, 104466, 117952, 33121, 79721, 124192, 85707, 15682, 13177, 26854, 104127, 86127, 29295, 118006, 122735, 30512, 72342, 26854, 30591, 32149, 25827, 16144, 66383, 102936, 124533, 15024, 5486, 101128, 102, 64121, 69847, 118816, 78244, 61689, 119520, 5486, 101182, 20834, 38093, 16995, 113468, 101426, 29295, 104364, 15024, 121423, 33541, 109900, 15682, 5486, 108931, 117083, 103232, 103932, 15973, 249, 33671, 104703, 61304, 104611, 104517, 110792, 20834, 38093, 117201, 56051, 9174, 70821, 117813, 117401, 30512, 84851, 103130, 56051, 103232, 103932, 16144, 106942, 9458, 101987, 17129, 119178, 116310, 17129, 103468, 110018, 5486, 74090, 103932, 117940, 13177, 118006, 122735, 15682, 5486, 70821, 117813, 71289, 66383, 91763, 100472, 19732, 78244, 61689, 9174, 9080, 40053, 16144, 37656, 102800, 127331, 124949, 20230, 108948, 16144, 101860, 55031, 58666, 102800, 102944, 29295, 21990, 17129, 106824, 109749, 102677, 70821, 116178, 16144, 64209, 20230, 109835, 103468, 110018, 36896, 115690, 115847, 76947, 118006, 122735, 19732, 126419, 71289, 5486, 118006, 122735, 15682, 70821, 116178, 105321, 71289, 66383, 95604, 105184, 22023, 29295, 85707, 107436, 69978, 38144, 28713, 1811, 102131, 15017, 231, 107800, 33503, 36896, 85701, 15682, 71289, 31431, 125001, 107407, 102616, 71289, 66383, 91763, 105262, 101200, 115717, 79721, 1811, 127012, 74090, 103932, 5232, 679, 22, 119185, 198, 74090, 103932, 117940, 5486, 110382, 55031, 27384, 112495, 112169, 108436, 109033, 30512, 106613, 111186, 78434, 66327, 33334, 16995, 102800, 102944, 10646, 71289, 13177, 58666, 102800, 102944, 118587, 19967, 103950, 103306, 112987, 124324, 1811, 122735, 29295, 122735, 54926, 101200, 101983, 33503, 123207, 105110, 100604, 1811, 115364, 82420, 110706, 71289, 114640, 29295, 33420, 58942, 5486, 30868, 247, 104680, 19732, 117876, 20230, 72027, 103892, 54926, 1811, 102131, 112990, 72238, 103234, 29295, 105994, 20230, 108385, 31431, 114001, 16995, 108948, 16995, 102800, 102944, 29295, 102321, 104028, 1811, 107943, 70821, 117813, 9554, 122735, 30512, 64467, 70141, 78434, 9174, 33334, 16995, 21105, 243, 71289, 58666, 21105, 243, 30512, 32018, 107436, 32977, 110074, 102639, 100481, 47884, 55031, 5486, 37656, 74245, 20230, 5486, 109134, 125231, 106592, 21105, 96, 107277, 106154, 76947, 5486, 115891, 104680, 19732, 117876, 123410, 1811, 112990, 113702, 112535, 5486, 58666, 102800, 102944, 29295, 103082, 30591, 29295, 30369, 1811, 127012, 74090, 103932, 679, 22, 119185, 198, 110382, 105352, 58318, 35083, 109904, 36668, 33014, 16144, 57903, 24273, 29295, 5486, 21405, 102321, 116216, 61689, 9174, 104817, 43167, 34048, 55031, 112197, 53283, 117063, 198, 14711, 114137, 103932, 106594, 116366, 18028, 16325, 102687, 125211, 78228, 103359, 111813, 45631, 122735, 15682, 30297, 33121, 102800, 108948, 16995, 102800, 15682, 48154, 118881, 102802, 115204, 39880, 38248, 104, 25197, 52884, 91875, 55723, 30512, 117232, 119379, 55487, 22023, 16325, 38641, 106609, 74090, 103932, 106594, 116366, 98369, 19732, 16325, 102687, 125211, 78228, 98369, 111848, 17039, 107680, 44620, 122735, 19732, 60632, 43511, 36761, 102404, 107680, 61304, 104611, 16556, 23039, 125167, 110191, 118372, 25197, 102832, 52414, 13177, 122735, 15682, 30297, 33121, 102800, 108948, 16995, 102800, 15682, 48154, 118881, 102802, 115204, 16144, 39880, 38248, 104, 25197, 52884 ]
[ 91875, 55723, 30512, 18, 14, 2148, 10110, 53610, 7705, 103296, 16144, 117232, 119379, 16556, 55487, 22023, 127145, 6447, 45631, 33334, 16995, 102800, 15682, 120987, 55031, 125338, 109749, 66383, 16995, 100472, 33334, 87177, 71289, 5486, 74090, 103932, 105408, 111848, 118133, 15682, 105557, 10646, 104873, 22649, 16144, 103350, 102446, 104309, 5486, 109466, 31431, 36785, 47884, 115867, 25197, 102832, 52414, 16556, 56051, 9174, 14711, 73958, 102687, 125211, 78228, 98369, 111848, 13177, 74090, 103932, 106594, 116366, 105242, 118587, 101198, 57207, 68759, 102472, 76428, 16073, 16556, 121298, 16325, 38641, 106609, 4931, 25859, 0, 13177, 122735, 15682, 30297, 33121, 102800, 108948, 16995, 102800, 15682, 48154, 118881, 102802, 115204, 16556, 16325, 102687, 125211, 78228, 121944, 48154, 50338, 108323, 108112, 30813, 100472, 13177, 74090, 103932, 106594, 116366, 105242, 118587, 64121, 103171, 16144, 101198, 57207, 68759, 102472, 76428, 16073, 16556, 121298, 16325, 38641, 123601, 89046, 107121, 16556, 74090, 103932, 115867, 58318, 35083, 109904, 122735, 105242, 20230, 109834, 103868, 30512, 32977, 28713, 103468, 24273, 15682, 5486, 112371, 104328, 117896, 32977, 33334, 98499, 64121, 72315, 106609, 14711, 114137, 103932, 106594, 116366, 16144, 104149, 16144, 114341, 103605, 13177, 122735, 21105, 103, 16995, 102677, 29172, 81742, 10646, 39880, 38248, 104, 25197, 52884, 91875, 55723, 30512, 55487, 22023, 16325, 38641, 106609, 18, 14, 24, 20230, 87447, 113497, 103646, 122416, 16144, 74090, 103932, 106594, 116366, 105408, 16144, 114341, 103605, 29295, 91875, 55723, 55487, 22023, 16325, 38641, 125939, 18904, 16144, 114341, 103605, 72661, 74090, 103932, 105408, 16144, 58318, 35083, 109904, 122735, 16144, 89151, 100499, 226, 30512, 100204, 121710, 31431, 33334, 87177, 16995, 90620, 50834, 79721, 6447, 128001, 128000, 14711, 80019, 102491, 105586, 121930, 16144, 66378, 17599, 112, 198, 52591, 119930, 77181, 42634, 47260, 47260, 58666, 103991, 29295, 89753, 23039, 109768, 79721, 29295, 5486, 113146, 19732, 55999, 20230, 13177, 42634, 47260, 47260, 15682, 117355, 120195, 30369, 16556, 124304, 66383, 95604, 105856, 106053, 29295, 104195, 115737, 31431, 5486, 108031, 127637, 102491, 105586, 30512, 30358, 103984, 119607, 102677, 113727, 125334, 38144, 50834, 33541, 118855, 40265, 39177, 28713, 53900, 17129, 102491, 31640, 115514, 122561, 16144, 102404, 91774, 29295, 30358, 26854, 31431, 5486, 102491, 31640, 42634, 108941, 9458, 104603, 37823, 114741, 111363, 17792, 116499, 45736, 109709, 79721, 113637, 105933, 89753, 33121, 55031, 17039, 102491, 105586, 121930, 29295, 21990, 123606, 33541, 9174, 66378, 17599, 112, 103306, 15682, 5486, 115707, 58666, 71289, 105156, 15120, 34171, 102083, 100472, 31634, 72238, 30512, 30358, 103984, 56051, 35083, 104873, 126574, 106942, 29295, 127181, 38641, 1811, 104482, 103234, 103306, 32977, 5486, 102741, 107059, 57933, 22398, 71289, 112193, 84477, 116416, 22398, 104309, 29295, 53901, 123606, 79721, 118855, 51330, 113146, 15682, 43514, 107106, 67645, 96452, 89154, 44971, 110191, 16144, 113146, 72661, 101182, 16144, 119627, 5486, 124792, 109904, 104482, 103234, 32977, 126909, 115991, 79721, 9174, 14711, 80019, 102491, 105586, 121930, 16144, 106691, 19967, 198, 827, 110557, 114672, 105404, 44620, 112193, 84477, 116416, 22398, 45932, 116, 20230, 23018, 45829, 126027, 115514, 101805, 116, 30512, 103768, 104369, 113293, 7305, 237, 105459, 36761, 198, 13177, 112193, 108337, 22398, 33334, 25580, 32977, 32149, 10646, 16556, 19361, 13372, 26854, 118116, 112193, 108337, 22398, 125651, 1811, 101538, 75513, 109095, 102491, 30512, 113727, 101732, 105994, 126027, 23018, 45829, 30512, 5486, 105321, 19732, 37026, 33503, 117120, 113293, 54926, 102677, 75267, 28190, 29295, 110240, 32149, 106824, 61689, 1811, 65917, 110366, 102052, 103760, 71289, 43511, 117255, 67645, 32977, 105459, 29295, 116292, 15024, 104127, 108086, 108048, 113115, 57106, 54926, 83799, 16556, 78659, 110366, 20230, 117126, 102800, 112741, 16144, 112193, 108337, 22398, 29295, 86867, 110731, 106391, 111629, 38641, 113637, 105933, 103359, 57106, 15682, 17039, 102491, 105586, 121930, 103732, 47884, 91774, 102204, 33541, 9174, 827, 110557, 114672, 105404, 44620, 102741, 107059, 57933, 117718, 102625, 36761, 198, 85701, 15682, 102491, 31640, 104603, 37823, 114741, 16144, 115981, 48864, 30046, 102741, 107059, 57933, 117718, 102625, 112179, 112661, 56965, 30512, 110240, 102334, 106942, 38641, 1811, 102741, 107059, 57933, 22398, 15682, 37656, 104577, 20230, 75146, 109669, 102532, 102625, 30512, 102647, 102189, 113334, 119627, 108048, 29295, 124792, 109904, 102404, 101067, 107294, 105722, 31431, 33541, 118855, 51330, 106942, 77181, 123737, 122416, 110240, 32149, 106824, 61689, 29295, 115847, 32977, 17039, 102491, 105586, 121930, 16144, 66378, 17599, 112, 38641, 1811, 42634, 47260, 47260, 77181, 111482, 9554, 103351, 110115, 103359, 15024, 121453, 102491, 105586, 121930, 77181, 71208, 117332, 117084, 61689, 9174, 827, 110557, 114672, 105404, 44620, 115882, 96452, 64178, 101762, 254, 55031, 107908, 57326, 22398, 30512, 104087, 105262, 103672, 96452, 80805, 108958, 36761, 198, 22656, 19967, 15682, 114172, 102512, 16144, 100927, 70626, 102181, 105352, 114652, 120955, 78434, 29295, 5486, 96452, 89154, 44971, 110191, 30512, 110240, 102532, 61689, 1811, 124792, 103306, 16144, 96452, 89154, 44971, 110191, 102677, 112973, 17039, 102491, 105586, 121930, 19732, 17905, 46034, 47884, 102971, 102802, 59739, 102532, 61689, 1811, 32977, 43514, 85791, 25827, 96452, 89154, 44971, 110191, 16144, 107420, 80805, 102472, 108506, 105321, 119627, 9174, 827, 94632, 120397, 44620, 44971, 90962, 115307, 45923, 9458, 99959, 9458, 114672, 109482, 16144, 102625, 36761, 198, 33710, 102750, 60868, 107446, 23538, 20230, 76706, 109526, 235, 56051, 44971, 90962, 115307, 45923, 9458, 99959, 9458, 114672, 109482, 16144, 102625, 112179, 112661, 56965, 30512, 110240, 102334, 106942, 1811, 109432, 78659, 16556, 101828, 16995, 104328, 102639, 30512, 21990, 71289, 15024, 5486, 109203, 101983, 103836, 112973, 103031, 38641, 109807, 65917, 16144, 123737, 15682, 40265, 125344, 52591, 119930, 29504, 101538, 52591, 93488, 102741, 102756, 16, 101083, 113637, 105933, 75267, 28190, 15682, 102512, 103350, 111769, 102944, 16144, 127862, 107707, 116690, 102052, 109834, 103868, 102987, 16995, 102944, 115991, 33541, 1811, 44971, 90962, 115307, 45923, 9458, 99959, 9458, 114672, 109482, 102677, 104482, 103234, 71289, 62543, 103350, 34171, 16144, 126574, 110240, 62543, 15682, 17039, 102491, 105586, 121930, 16144, 105586, 25287, 109904, 66378, 17599, 112, 38641, 9174, 827, 94632, 120397, 44620, 32131, 104774, 76739, 42634, 19732, 108526, 33710, 96452, 37823, 109793, 36761, 198, 108031, 16, 109577, 39880, 120397, 55031, 1811, 117896, 15682, 109466, 23538, 33710, 102750, 60868, 107446, 16144, 32131, 104774, 76739, 42634, 29295, 110240, 32149, 106824, 61689, 1811, 32131, 104774, 76739, 42634, 15682, 102491, 105586, 16144, 106691, 35083, 125651, 1811, 39880, 120397, 15682, 52591, 93488, 117718, 17792, 105321, 119627, 5486, 25197, 47307, 104612, 111363, 104650, 48864, 30512, 106613, 111186, 126020, 5486, 110924, 16556, 32131, 104774, 76739, 114615, 106942, 30512, 103350, 104983, 20230, 124140, 108363, 39926, 5486, 108008, 20230, 117375, 114475, 107441, 61689, 109900, 29295, 114652, 17620, 117295, 106942, 125651, 123405, 109709, 116690, 124897, 29295, 5486, 32131, 104774, 76739, 42634, 15682, 107188, 31431, 25197, 102663, 39850, 16073, 16556, 5486, 20251, 105048, 32977, 17905, 46034, 16556, 5486, 121995, 32977, 110240, 105784, 102677, 118733, 107188, 31431, 102494, 57933, 101732, 117840, 1811, 128001, 128000, 20834, 106518, 126101, 111476, 12, 105961, 106518, 46034, 40265, 35330, 198, 12, 105961, 106518, 101662, 116581, 15120, 39177, 35330, 7, 20834, 106518, 15120, 39177, 35330, 340, 29295, 32977, 33503, 58942, 33541, 123794, 9174, 567, 105961, 106518, 15120, 39177, 35330, 71289, 20834, 106518, 46034, 40265, 35330, 76947, 32938, 50928, 108176, 105879, 109954, 32149, 11571, 105184, 23187, 102782, 58655, 21105, 103, 118145, 105110, 100604, 105879, 109954, 32149, 95532, 103899, 58942, 15682, 5486, 2822, 38641, 1811, 66776, 111681, 85188, 26854, 105879, 32938, 50928, 111769, 38641, 15024, 5486, 105184, 23187, 102782, 58655, 16556, 102782, 58655, 21105, 103, 47884, 111243, 126521, 38641, 9174, 14711, 105961, 106518, 125344, 46034, 40265, 15682, 113614, 33563, 117126, 25333, 16556, 23187, 62004, 125398, 198, 20834, 106518, 125344, 46034, 40265, 112197, 35330, 111476, 15682, 36896, 113614, 33563, 117126, 25333, 10646, 16556, 23187, 62004, 124195, 61689, 9174, 51330, 13177, 113614, 33563, 117126, 25333, 10646, 104088, 33541, 19732, 111476, 30537, 103070, 114093, 40089, 111738, 85188, 114950, 16144, 35417, 111681, 15682, 5486, 33563, 117126, 110698, 47000, 103306, 46456, 110698, 114475, 107674, 35330, 25446, 30512, 123782, 103306, 5486, 111681, 54926, 105908, 118765, 9174, 19732, 23187, 104577, 116216, 61689, 9174, 51330, 111738, 85188, 29295, 13177, 85188, 35330, 118587, 115552, 78434, 9174, 59739, 109709, 5486, 113614, 33563, 117126, 25333, 16556, 23187, 104577, 110731, 46034, 40265, 35330, 15682, 13177, 85188, 35330, 118587, 111681, 17663, 109335, 106084, 100604, 116233, 9174, 14711, 108837, 98, 104915, 33563, 117126, 25333, 16556, 23187, 104577, 110731, 33563, 117126, 110698, 47000, 16144, 104091, 104770, 15682, 95532, 113614, 33563, 117126, 25333, 16556, 23187, 104577, 110731, 66776, 111681, 85188, 16144, 46034, 40265, 35330, 15682, 17905, 61304, 115717, 33541, 9174, 51330, 126867, 198, 12, 105961, 106518, 101662, 116581, 15120, 39177, 35330, 198, 29295, 96412, 17129, 115032, 105908, 78183, 107277, 33541, 101832, 106609, 14711, 220, 90620, 15024, 5486, 20834, 106518, 101662, 116581, 15120, 39177, 35330, 15682, 103242, 109519, 106382, 103851, 21418, 55031, 104364, 15024, 73686, 32149, 101832, 81219, 105110, 100604, 198, 90620, 15024, 5486, 20834, 106518, 101662, 116581, 15120, 39177, 35330, 15682, 198, 103242, 109519, 106382, 103851, 21418, 16144, 102782, 109311, 123410, 126513, 5486, 103242, 109519, 16556, 32149, 102518, 108761, 110226, 102181, 55031, 7, 20834, 106518, 106382, 11883, 32977, 96412, 104004, 121782, 104364, 15024, 73686, 32149, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 20834, 106518, 46034, 40265, 35330, 15682, 104364, 15024, 73686, 47884, 109215, 15682, 124897, 1811, 128001, 128000, 567, 220, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 15682, 46034, 9039, 42506, 55031, 102647, 104369, 198, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 30512, 102647, 104369, 110018, 20230, 46034, 9039, 42506, 15682, 27384, 30926, 38641, 1811, 46034, 9039, 42506, 29295, 126574, 19732, 105525, 107691, 29295, 15024, 20230, 47884, 47884, 109020, 55031, 38641, 1811, 105525, 107691, 46034, 9039, 42506, 30512, 125261, 39926, 64121, 104533, 5486, 46034, 9039, 42506, 29295, 51385, 16995, 18655, 73686, 32938, 29295, 17620, 126469, 109749, 123253, 119520, 5486, 46034, 9039, 42506, 15682, 105525, 107691, 46034, 9039, 42506, 103378, 77181, 124897, 1811, 22398, 118192, 105404, 71289, 33563, 36651, 42506, 104309, 20230, 46034, 9039, 42506, 29295, 32149, 117295, 107803, 115991, 33541, 118844, 33503, 37087, 38144, 16144, 46034, 9039, 42506, 30512, 96412, 107436, 78698, 105262, 109215, 107407, 16144, 38641, 1811, 105525, 107691, 46034, 9039, 42506, 103378, 104088, 100934, 19732, 33563, 36651, 42506, 29295, 126574, 18655, 73686, 32938, 30512, 102647, 104127, 114732, 32149, 110241, 33121, 107515, 1811, 102131, 105110, 100604, 104466, 37087, 38144, 16144, 46034, 9039, 42506, 30512, 78698, 101557, 106, 39926, 55031, 18655, 73686, 32938, 30512, 102647, 104369, 102083, 117201, 109954, 9174, 567, 220, 124572, 101067, 33035, 112756, 16144, 18655, 73686, 33857, 19732, 104091, 104770, 55031, 18655, 73686, 32938, 30512, 102647, 104369, 198, 124572, 101067, 33035, 112756, 16144, 18655, 73686, 32938, 30512, 102647, 104369, 110018, 20230, 18655, 73686, 33857, 19732, 104091, 104770, 15682, 27384, 30926, 38641, 1811, 18655, 73686, 33857, 29295, 83747, 100604, 19732, 107691, 102334, 16995, 124572, 101067, 33035, 112756, 20230, 107691, 16995, 26130, 17161, 30512, 20834, 120837, 5486, 105525, 107691, 29295, 116166, 21105, 103, 118544, 110241, 33121, 107515, 1811, 120550, 76947, 114732, 19732, 5486, 101268, 110, 105784, 101513, 38093, 30512, 21388, 76947, 114732, 100909, 107294, 105722, 31431, 33541, 1811, 18655, 73686, 33857, 29295, 114392, 117083, 18655, 73686, 32938, 30512, 102647, 104369, 104466, 54926, 102083, 117201, 109954, 118855, 5486, 124572, 101067, 33035, 112756, 16144, 104091, 104770, 29295, 83747, 100604, 18655, 73686, 32938, 77181, 48249, 124195, 124572, 101067, 33035, 112756, 20230, 67016, 126330, 103082, 107515, 1811, 107691, 76947, 115226, 124572, 101067, 33035, 112756, 107407, 18655, 73686, 32938, 30512, 102647, 104369, 104466, 78434, 1811, 117409, 16556, 100604, 105879, 30591, 104984, 5486, 125559, 55031, 106767, 17663, 115789, 78698, 101557, 106, 54926, 102083, 117201, 109954, 9174, 567, 113978, 123283, 37823, 103906, 55031, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 30512, 102647, 104369, 198, 64810, 123283, 37823, 103906, 15682, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 125030, 76947, 15682, 118958, 101911, 38641, 1811, 107943, 64810, 123283, 37823, 103906, 29295, 103167, 16995, 18655, 73686, 32938, 30512, 102647, 25827, 77181, 16995, 76622, 107515, 1811, 103188, 86436, 20230, 123010, 17129, 103468, 103350, 116486, 16144, 101182, 18655, 73686, 32938, 32977, 111098, 107441, 33334, 102334, 24273, 29295, 104712, 123253, 1811, 124572, 101067, 33035, 112756, 29295, 89753, 20834, 54926, 125396, 103306, 15120, 87217, 126574, 112973, 18655, 73686, 32938, 38641, 109807, 18655, 73686, 32938, 16144, 64810, 123283, 37823, 103906, 102052, 114392, 20230, 61633, 30512, 124237, 61689, 1811, 110241, 5486, 64810, 123283, 37823, 103906, 29295, 103167, 16995, 19732, 122225, 56051, 107803, 102052, 5486, 127177, 28542, 29295, 67645, 103171, 20230, 103424, 47884, 111243, 125844, 56906, 54926, 106592, 78698, 105262, 102083, 16995, 38641, 9174, 124572, 101067, 33035, 112756, 30512, 27704, 62004, 106956, 24273, 15682, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 16144, 125261, 15682, 31634, 116696, 48552, 38641, 1811, 18655, 73686, 32938, 113468, 5486, 46034, 9039, 42506, 71289, 125175, 44915, 20230, 104364, 107407, 105879, 5486, 116907, 16144, 105335, 106696, 20230, 40862, 100472, 18655, 73686, 32938, 104088, 110993, 107436, 102647, 104369, 104466, 103801, 109954, 1811, 128001, 128000, 13953, 114743, 108502, 104698, 111371, 6704, 100, 233, 220, 67178, 63415, 124597, 124606, 123570, 5486, 71493, 110590, 5486, 18655, 47000, 55038, 5486, 28542, 111371, 18904, 47095, 30512, 15120, 33014, 20230, 56051, 106391, 67178, 63415, 124597, 124606, 123570, 15682, 5486, 25963, 25963, 102159, 30512, 20713, 108152, 78683, 67075, 103306, 5486, 109203, 20230, 34617 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 91875, 55723, 30512, 18, 14, 2148, 10110, 53610, 7705, 103296, 16144, 117232, 119379, 16556, 55487, 22023, 127145, 6447, 45631, 33334, 16995, 102800, 15682, 120987, 55031, 125338, 109749, 66383, 16995, 100472, 33334, 87177, 71289, 5486, 74090, 103932, 105408, 111848, 118133, 15682, 105557, 10646, 104873, 22649, 16144, 103350, 102446, 104309, 5486, 109466, 31431, 36785, 47884, 115867, 25197, 102832, 52414, 16556, 56051, 9174, 14711, 73958, 102687, 125211, 78228, 98369, 111848, 13177, 74090, 103932, 106594, 116366, 105242, 118587, 101198, 57207, 68759, 102472, 76428, 16073, 16556, 121298, 16325, 38641, 106609, 4931, 25859, 0, 13177, 122735, 15682, 30297, 33121, 102800, 108948, 16995, 102800, 15682, 48154, 118881, 102802, 115204, 16556, 16325, 102687, 125211, 78228, 121944, 48154, 50338, 108323, 108112, 30813, 100472, 13177, 74090, 103932, 106594, 116366, 105242, 118587, 64121, 103171, 16144, 101198, 57207, 68759, 102472, 76428, 16073, 16556, 121298, 16325, 38641, 123601, 89046, 107121, 16556, 74090, 103932, 115867, 58318, 35083, 109904, 122735, 105242, 20230, 109834, 103868, 30512, 32977, 28713, 103468, 24273, 15682, 5486, 112371, 104328, 117896, 32977, 33334, 98499, 64121, 72315, 106609, 14711, 114137, 103932, 106594, 116366, 16144, 104149, 16144, 114341, 103605, 13177, 122735, 21105, 103, 16995, 102677, 29172, 81742, 10646, 39880, 38248, 104, 25197, 52884, 91875, 55723, 30512, 55487, 22023, 16325, 38641, 106609, 18, 14, 24, 20230, 87447, 113497, 103646, 122416, 16144, 74090, 103932, 106594, 116366, 105408, 16144, 114341, 103605, 29295, 91875, 55723, 55487, 22023, 16325, 38641, 125939, 18904, 16144, 114341, 103605, 72661, 74090, 103932, 105408, 16144, 58318, 35083, 109904, 122735, 16144, 89151, 100499, 226, 30512, 100204, 121710, 31431, 33334, 87177, 16995, 90620, 50834, 79721, 6447, 128001, 128000, 14711, 80019, 102491, 105586, 121930, 16144, 66378, 17599, 112, 198, 52591, 119930, 77181, 42634, 47260, 47260, 58666, 103991, 29295, 89753, 23039, 109768, 79721, 29295, 5486, 113146, 19732, 55999, 20230, 13177, 42634, 47260, 47260, 15682, 117355, 120195, 30369, 16556, 124304, 66383, 95604, 105856, 106053, 29295, 104195, 115737, 31431, 5486, 108031, 127637, 102491, 105586, 30512, 30358, 103984, 119607, 102677, 113727, 125334, 38144, 50834, 33541, 118855, 40265, 39177, 28713, 53900, 17129, 102491, 31640, 115514, 122561, 16144, 102404, 91774, 29295, 30358, 26854, 31431, 5486, 102491, 31640, 42634, 108941, 9458, 104603, 37823, 114741, 111363, 17792, 116499, 45736, 109709, 79721, 113637, 105933, 89753, 33121, 55031, 17039, 102491, 105586, 121930, 29295, 21990, 123606, 33541, 9174, 66378, 17599, 112, 103306, 15682, 5486, 115707, 58666, 71289, 105156, 15120, 34171, 102083, 100472, 31634, 72238, 30512, 30358, 103984, 56051, 35083, 104873, 126574, 106942, 29295, 127181, 38641, 1811, 104482, 103234, 103306, 32977, 5486, 102741, 107059, 57933, 22398, 71289, 112193, 84477, 116416, 22398, 104309, 29295, 53901, 123606, 79721, 118855, 51330, 113146, 15682, 43514, 107106, 67645, 96452, 89154, 44971, 110191, 16144, 113146, 72661, 101182, 16144, 119627, 5486, 124792, 109904, 104482, 103234, 32977, 126909, 115991, 79721, 9174, 14711, 80019, 102491, 105586, 121930, 16144, 106691, 19967, 198, 827, 110557, 114672, 105404, 44620, 112193, 84477, 116416, 22398, 45932, 116, 20230, 23018, 45829, 126027, 115514, 101805, 116, 30512, 103768, 104369, 113293, 7305, 237, 105459, 36761, 198, 13177, 112193, 108337, 22398, 33334, 25580, 32977, 32149, 10646, 16556, 19361, 13372, 26854, 118116, 112193, 108337, 22398, 125651, 1811, 101538, 75513, 109095, 102491, 30512, 113727, 101732, 105994, 126027, 23018, 45829, 30512, 5486, 105321, 19732, 37026, 33503, 117120, 113293, 54926, 102677, 75267, 28190, 29295, 110240, 32149, 106824, 61689, 1811, 65917, 110366, 102052, 103760, 71289, 43511, 117255, 67645, 32977, 105459, 29295, 116292, 15024, 104127, 108086, 108048, 113115, 57106, 54926, 83799, 16556, 78659, 110366, 20230, 117126, 102800, 112741, 16144, 112193, 108337, 22398, 29295, 86867, 110731, 106391, 111629, 38641, 113637, 105933, 103359, 57106, 15682, 17039, 102491, 105586, 121930, 103732, 47884, 91774, 102204, 33541, 9174, 827, 110557, 114672, 105404, 44620, 102741, 107059, 57933, 117718, 102625, 36761, 198, 85701, 15682, 102491, 31640, 104603, 37823, 114741, 16144, 115981, 48864, 30046, 102741, 107059, 57933, 117718, 102625, 112179, 112661, 56965, 30512, 110240, 102334, 106942, 38641, 1811, 102741, 107059, 57933, 22398, 15682, 37656, 104577, 20230, 75146, 109669, 102532, 102625, 30512, 102647, 102189, 113334, 119627, 108048, 29295, 124792, 109904, 102404, 101067, 107294, 105722, 31431, 33541, 118855, 51330, 106942, 77181, 123737, 122416, 110240, 32149, 106824, 61689, 29295, 115847, 32977, 17039, 102491, 105586, 121930, 16144, 66378, 17599, 112, 38641, 1811, 42634, 47260, 47260, 77181, 111482, 9554, 103351, 110115, 103359, 15024, 121453, 102491, 105586, 121930, 77181, 71208, 117332, 117084, 61689, 9174, 827, 110557, 114672, 105404, 44620, 115882, 96452, 64178, 101762, 254, 55031, 107908, 57326, 22398, 30512, 104087, 105262, 103672, 96452, 80805, 108958, 36761, 198, 22656, 19967, 15682, 114172, 102512, 16144, 100927, 70626, 102181, 105352, 114652, 120955, 78434, 29295, 5486, 96452, 89154, 44971, 110191, 30512, 110240, 102532, 61689, 1811, 124792, 103306, 16144, 96452, 89154, 44971, 110191, 102677, 112973, 17039, 102491, 105586, 121930, 19732, 17905, 46034, 47884, 102971, 102802, 59739, 102532, 61689, 1811, 32977, 43514, 85791, 25827, 96452, 89154, 44971, 110191, 16144, 107420, 80805, 102472, 108506, 105321, 119627, 9174, 827, 94632, 120397, 44620, 44971, 90962, 115307, 45923, 9458, 99959, 9458, 114672, 109482, 16144, 102625, 36761, 198, 33710, 102750, 60868, 107446, 23538, 20230, 76706, 109526, 235, 56051, 44971, 90962, 115307, 45923, 9458, 99959, 9458, 114672, 109482, 16144, 102625, 112179, 112661, 56965, 30512, 110240, 102334, 106942, 1811, 109432, 78659, 16556, 101828, 16995, 104328, 102639, 30512, 21990, 71289, 15024, 5486, 109203, 101983, 103836, 112973, 103031, 38641, 109807, 65917, 16144, 123737, 15682, 40265, 125344, 52591, 119930, 29504, 101538, 52591, 93488, 102741, 102756, 16, 101083, 113637, 105933, 75267, 28190, 15682, 102512, 103350, 111769, 102944, 16144, 127862, 107707, 116690, 102052, 109834, 103868, 102987, 16995, 102944, 115991, 33541, 1811, 44971, 90962, 115307, 45923, 9458, 99959, 9458, 114672, 109482, 102677, 104482, 103234, 71289, 62543, 103350, 34171, 16144, 126574, 110240, 62543, 15682, 17039, 102491, 105586, 121930, 16144, 105586, 25287, 109904, 66378, 17599, 112, 38641, 9174, 827, 94632, 120397, 44620, 32131, 104774, 76739, 42634, 19732, 108526, 33710, 96452, 37823, 109793, 36761, 198, 108031, 16, 109577, 39880, 120397, 55031, 1811, 117896, 15682, 109466, 23538, 33710, 102750, 60868, 107446, 16144, 32131, 104774, 76739, 42634, 29295, 110240, 32149, 106824, 61689, 1811, 32131, 104774, 76739, 42634, 15682, 102491, 105586, 16144, 106691, 35083, 125651, 1811, 39880, 120397, 15682, 52591, 93488, 117718, 17792, 105321, 119627, 5486, 25197, 47307, 104612, 111363, 104650, 48864, 30512, 106613, 111186, 126020, 5486, 110924, 16556, 32131, 104774, 76739, 114615, 106942, 30512, 103350, 104983, 20230, 124140, 108363, 39926, 5486, 108008, 20230, 117375, 114475, 107441, 61689, 109900, 29295, 114652, 17620, 117295, 106942, 125651, 123405, 109709, 116690, 124897, 29295, 5486, 32131, 104774, 76739, 42634, 15682, 107188, 31431, 25197, 102663, 39850, 16073, 16556, 5486, 20251, 105048, 32977, 17905, 46034, 16556, 5486, 121995, 32977, 110240, 105784, 102677, 118733, 107188, 31431, 102494, 57933, 101732, 117840, 1811, 128001, 128000, 20834, 106518, 126101, 111476, 12, 105961, 106518, 46034, 40265, 35330, 198, 12, 105961, 106518, 101662, 116581, 15120, 39177, 35330, 7, 20834, 106518, 15120, 39177, 35330, 340, 29295, 32977, 33503, 58942, 33541, 123794, 9174, 567, 105961, 106518, 15120, 39177, 35330, 71289, 20834, 106518, 46034, 40265, 35330, 76947, 32938, 50928, 108176, 105879, 109954, 32149, 11571, 105184, 23187, 102782, 58655, 21105, 103, 118145, 105110, 100604, 105879, 109954, 32149, 95532, 103899, 58942, 15682, 5486, 2822, 38641, 1811, 66776, 111681, 85188, 26854, 105879, 32938, 50928, 111769, 38641, 15024, 5486, 105184, 23187, 102782, 58655, 16556, 102782, 58655, 21105, 103, 47884, 111243, 126521, 38641, 9174, 14711, 105961, 106518, 125344, 46034, 40265, 15682, 113614, 33563, 117126, 25333, 16556, 23187, 62004, 125398, 198, 20834, 106518, 125344, 46034, 40265, 112197, 35330, 111476, 15682, 36896, 113614, 33563, 117126, 25333, 10646, 16556, 23187, 62004, 124195, 61689, 9174, 51330, 13177, 113614, 33563, 117126, 25333, 10646, 104088, 33541, 19732, 111476, 30537, 103070, 114093, 40089, 111738, 85188, 114950, 16144, 35417, 111681, 15682, 5486, 33563, 117126, 110698, 47000, 103306, 46456, 110698, 114475, 107674, 35330, 25446, 30512, 123782, 103306, 5486, 111681, 54926, 105908, 118765, 9174, 19732, 23187, 104577, 116216, 61689, 9174, 51330, 111738, 85188, 29295, 13177, 85188, 35330, 118587, 115552, 78434, 9174, 59739, 109709, 5486, 113614, 33563, 117126, 25333, 16556, 23187, 104577, 110731, 46034, 40265, 35330, 15682, 13177, 85188, 35330, 118587, 111681, 17663, 109335, 106084, 100604, 116233, 9174, 14711, 108837, 98, 104915, 33563, 117126, 25333, 16556, 23187, 104577, 110731, 33563, 117126, 110698, 47000, 16144, 104091, 104770, 15682, 95532, 113614, 33563, 117126, 25333, 16556, 23187, 104577, 110731, 66776, 111681, 85188, 16144, 46034, 40265, 35330, 15682, 17905, 61304, 115717, 33541, 9174, 51330, 126867, 198, 12, 105961, 106518, 101662, 116581, 15120, 39177, 35330, 198, 29295, 96412, 17129, 115032, 105908, 78183, 107277, 33541, 101832, 106609, 14711, 220, 90620, 15024, 5486, 20834, 106518, 101662, 116581, 15120, 39177, 35330, 15682, 103242, 109519, 106382, 103851, 21418, 55031, 104364, 15024, 73686, 32149, 101832, 81219, 105110, 100604, 198, 90620, 15024, 5486, 20834, 106518, 101662, 116581, 15120, 39177, 35330, 15682, 198, 103242, 109519, 106382, 103851, 21418, 16144, 102782, 109311, 123410, 126513, 5486, 103242, 109519, 16556, 32149, 102518, 108761, 110226, 102181, 55031, 7, 20834, 106518, 106382, 11883, 32977, 96412, 104004, 121782, 104364, 15024, 73686, 32149, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 20834, 106518, 46034, 40265, 35330, 15682, 104364, 15024, 73686, 47884, 109215, 15682, 124897, 1811, 128001, 128000, 567, 220, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 15682, 46034, 9039, 42506, 55031, 102647, 104369, 198, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 30512, 102647, 104369, 110018, 20230, 46034, 9039, 42506, 15682, 27384, 30926, 38641, 1811, 46034, 9039, 42506, 29295, 126574, 19732, 105525, 107691, 29295, 15024, 20230, 47884, 47884, 109020, 55031, 38641, 1811, 105525, 107691, 46034, 9039, 42506, 30512, 125261, 39926, 64121, 104533, 5486, 46034, 9039, 42506, 29295, 51385, 16995, 18655, 73686, 32938, 29295, 17620, 126469, 109749, 123253, 119520, 5486, 46034, 9039, 42506, 15682, 105525, 107691, 46034, 9039, 42506, 103378, 77181, 124897, 1811, 22398, 118192, 105404, 71289, 33563, 36651, 42506, 104309, 20230, 46034, 9039, 42506, 29295, 32149, 117295, 107803, 115991, 33541, 118844, 33503, 37087, 38144, 16144, 46034, 9039, 42506, 30512, 96412, 107436, 78698, 105262, 109215, 107407, 16144, 38641, 1811, 105525, 107691, 46034, 9039, 42506, 103378, 104088, 100934, 19732, 33563, 36651, 42506, 29295, 126574, 18655, 73686, 32938, 30512, 102647, 104127, 114732, 32149, 110241, 33121, 107515, 1811, 102131, 105110, 100604, 104466, 37087, 38144, 16144, 46034, 9039, 42506, 30512, 78698, 101557, 106, 39926, 55031, 18655, 73686, 32938, 30512, 102647, 104369, 102083, 117201, 109954, 9174, 567, 220, 124572, 101067, 33035, 112756, 16144, 18655, 73686, 33857, 19732, 104091, 104770, 55031, 18655, 73686, 32938, 30512, 102647, 104369, 198, 124572, 101067, 33035, 112756, 16144, 18655, 73686, 32938, 30512, 102647, 104369, 110018, 20230, 18655, 73686, 33857, 19732, 104091, 104770, 15682, 27384, 30926, 38641, 1811, 18655, 73686, 33857, 29295, 83747, 100604, 19732, 107691, 102334, 16995, 124572, 101067, 33035, 112756, 20230, 107691, 16995, 26130, 17161, 30512, 20834, 120837, 5486, 105525, 107691, 29295, 116166, 21105, 103, 118544, 110241, 33121, 107515, 1811, 120550, 76947, 114732, 19732, 5486, 101268, 110, 105784, 101513, 38093, 30512, 21388, 76947, 114732, 100909, 107294, 105722, 31431, 33541, 1811, 18655, 73686, 33857, 29295, 114392, 117083, 18655, 73686, 32938, 30512, 102647, 104369, 104466, 54926, 102083, 117201, 109954, 118855, 5486, 124572, 101067, 33035, 112756, 16144, 104091, 104770, 29295, 83747, 100604, 18655, 73686, 32938, 77181, 48249, 124195, 124572, 101067, 33035, 112756, 20230, 67016, 126330, 103082, 107515, 1811, 107691, 76947, 115226, 124572, 101067, 33035, 112756, 107407, 18655, 73686, 32938, 30512, 102647, 104369, 104466, 78434, 1811, 117409, 16556, 100604, 105879, 30591, 104984, 5486, 125559, 55031, 106767, 17663, 115789, 78698, 101557, 106, 54926, 102083, 117201, 109954, 9174, 567, 113978, 123283, 37823, 103906, 55031, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 30512, 102647, 104369, 198, 64810, 123283, 37823, 103906, 15682, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 125030, 76947, 15682, 118958, 101911, 38641, 1811, 107943, 64810, 123283, 37823, 103906, 29295, 103167, 16995, 18655, 73686, 32938, 30512, 102647, 25827, 77181, 16995, 76622, 107515, 1811, 103188, 86436, 20230, 123010, 17129, 103468, 103350, 116486, 16144, 101182, 18655, 73686, 32938, 32977, 111098, 107441, 33334, 102334, 24273, 29295, 104712, 123253, 1811, 124572, 101067, 33035, 112756, 29295, 89753, 20834, 54926, 125396, 103306, 15120, 87217, 126574, 112973, 18655, 73686, 32938, 38641, 109807, 18655, 73686, 32938, 16144, 64810, 123283, 37823, 103906, 102052, 114392, 20230, 61633, 30512, 124237, 61689, 1811, 110241, 5486, 64810, 123283, 37823, 103906, 29295, 103167, 16995, 19732, 122225, 56051, 107803, 102052, 5486, 127177, 28542, 29295, 67645, 103171, 20230, 103424, 47884, 111243, 125844, 56906, 54926, 106592, 78698, 105262, 102083, 16995, 38641, 9174, 124572, 101067, 33035, 112756, 30512, 27704, 62004, 106956, 24273, 15682, 124572, 101067, 33035, 112756, 18655, 73686, 32938, 16144, 125261, 15682, 31634, 116696, 48552, 38641, 1811, 18655, 73686, 32938, 113468, 5486, 46034, 9039, 42506, 71289, 125175, 44915, 20230, 104364, 107407, 105879, 5486, 116907, 16144, 105335, 106696, 20230, 40862, 100472, 18655, 73686, 32938, 104088, 110993, 107436, 102647, 104369, 104466, 103801, 109954, 1811, 128001, 128000, 13953, 114743, 108502, 104698, 111371, 6704, 100, 233, 220, 67178, 63415, 124597, 124606, 123570, 5486, 71493, 110590, 5486, 18655, 47000, 55038, 5486, 28542, 111371, 18904, 47095, 30512, 15120, 33014, 20230, 56051, 106391, 67178, 63415, 124597, 124606, 123570, 15682, 5486, 25963, 25963, 102159, 30512, 20713, 108152, 78683, 67075, 103306, 5486, 109203, 20230, 34617 ]
[ 60596, 32218, 86867, 15024, 5486, 110022, 9039, 66224, 68093, 25963, 102159, 112212, 106045, 23187, 16144, 101426, 27479, 30512, 50928, 100934, 63415, 54322, 107969, 15682, 5486, 124597, 124606, 123570, 18655, 47000, 55038, 30512, 16325, 35894, 16144, 107461, 84477, 57207, 116099, 106391, 67178, 106004, 49792, 101908, 39926, 101182, 63415, 117355, 33857, 33208, 56051, 10110, 110022, 30358, 33857, 103664, 44597, 7501, 7705, 63415, 23187, 35083, 17701, 48634, 101721, 121819, 15682, 116531, 117812, 78250, 27113, 122913, 16556, 5486, 123532, 37507, 25446, 19732, 39209, 109033, 88367, 110325, 85241, 112, 63415, 101544, 117539, 51609, 103195, 100909, 10110, 118656, 9554, 102052, 78250, 32307, 82973, 7705, 80673, 5486, 106613, 8107, 113245, 101426, 27479, 103167, 17297, 30512, 78698, 101557, 106, 10110, 44597, 27113, 113127, 103167, 17297, 7705, 39926, 220, 25963, 32307, 44597, 125215, 27113, 82973, 117408, 1811, 220, 58426, 13177, 115924, 103192, 10646, 15682, 67645, 103171, 39135, 123253, 32149, 11571, 45631, 115924, 103192, 10646, 107809, 109156, 114598, 126521, 38641, 15024, 5486, 48915, 55031, 27280, 118, 109315, 103378, 72661, 106391, 16995, 107515, 1811, 111002, 11972, 25197, 107059, 20251, 16073, 22656, 37507, 16144, 115552, 107118, 11571, 118830, 8107, 5486, 30590, 24186, 19732, 103214, 102189, 120523, 108695, 104309, 29295, 27384, 112495, 38093, 75267, 20230, 114181, 65854, 30512, 43167, 62004, 5486, 9039, 103633, 17792, 102944, 114754, 15120, 7741, 231, 20230, 47260, 91062, 117243, 25197, 30512, 21441, 248, 102639, 30369, 5486, 102677, 105647, 46034, 26854, 106482, 66201, 29295, 68759, 118283, 101198, 71289, 118823, 20230, 89753, 107001, 101200, 110276, 55031, 123253, 32149, 1811, 220, 3965, 76, 71689, 16144, 124623, 104584, 9458, 109673, 106499, 102052, 45736, 101426, 27479, 16144, 110849, 39135, 114743, 108502, 104698, 111371, 16144, 105864, 255, 22324, 29295, 104577, 102781, 122382, 33503, 18049, 234, 127280, 1811, 220, 85701, 33503, 30512, 124475, 56051, 122013, 89046, 33121, 71289, 71493, 103830, 33710, 105459, 29295, 5486, 53610, 115195, 20230, 101860, 33503, 111842, 105360, 104369, 43568, 9039, 16144, 48154, 111371, 31958, 30512, 116310, 104127, 102332, 76622, 109115, 111179, 50834, 18904, 127103, 117158, 38144, 116826, 29295, 64121, 121423, 5486, 107059, 20251, 113883, 102185, 117831, 112586, 68379, 17129, 103468, 42634, 65299, 102741, 29220, 19732, 101911, 102765, 20230, 111371, 30512, 111371, 15024, 5486, 109518, 20230, 19012, 110, 102639, 38144, 33334, 55228, 230, 31431, 30512, 15017, 100, 102639, 28713, 30591, 19732, 16556, 105970, 28190, 20230, 111179, 32149, 103854, 33541, 1811, 112677, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 220, 85701, 120577, 31634, 63212, 15682, 5486, 84851, 23187, 119627, 16449, 16449, 41766, 231, 101721, 32938, 104721, 121819, 32648, 5486, 118726, 17905, 104721, 121819, 32648, 5486, 37705, 101721, 101911, 5486, 55487, 101721, 101911, 123160, 37729, 33857, 127242, 122291, 55031, 16449, 16449, 1811, 220, 67645, 112384, 116446, 32977, 5486, 64209, 16144, 111371, 15682, 33420, 58942, 107515, 55031, 48154, 51385, 64209, 30512, 1811, 397, 127637, 119448, 47884, 102987, 16995, 105324, 107246, 30512, 39926, 106116, 74482, 106644, 121710, 111842, 113351, 29430, 105324, 107246, 30512, 103721, 108, 31431, 104196, 78434, 1811, 220, 19, 118943, 110382, 103296, 39926, 126738, 28542, 111371, 21105, 103, 16995, 126513, 5486, 123274, 16144, 75146, 88631, 71289, 20251, 93488, 117718, 16937, 103424, 29295, 113727, 110071, 105879, 127426, 22649, 117158, 17663, 32149, 107691, 16995, 109913, 58942, 30512, 78698, 105262, 1811, 101377, 92877, 102334, 58850, 15682, 57980, 85791, 57980, 85791, 19732, 31809, 30813, 26854, 40198, 239, 16556, 122502, 16995, 101732, 1811, 107399, 102, 16144, 123457, 113487, 50834, 5486, 111006, 30512, 100783, 102, 107436, 37823, 32131, 107840, 78434, 1811, 116056, 121894, 29295, 106307, 126145, 71289, 29295, 38144, 28542, 111371, 15024, 20230, 47884, 115737, 31431, 5486, 114626, 102052, 37087, 47884, 28542, 32149, 123733, 31431, 33541, 1811, 125283, 101426, 34048, 19732, 101721, 39084, 34048, 5486, 41642, 115195, 102867, 27479, 111800, 20834, 32648, 104309, 220, 55031, 13153, 31431, 102404, 101426, 34048, 15682, 45736, 126120, 96455, 62903, 64810, 101335, 16073, 38129, 16556, 124996, 76739, 102750, 25287, 16449, 16449, 31195, 40003, 120, 56965, 1049, 11, 931, 4484, 10110, 107391, 111670, 32131, 1811, 111971, 23538, 112535, 104721, 107290, 113334, 111769, 16144, 119627, 5486, 101377, 106968, 5486, 121410, 8107, 717, 9953, 101983, 104533, 114834, 16144, 113692, 25287, 104238, 235, 101426, 111371, 29295, 59739, 32149, 123733, 31431, 33541, 1811, 397, 32149, 59739, 38144, 110382, 29295, 5486, 73597, 251, 101129, 106644, 30297, 16144, 121995, 119775, 13177, 111482, 39135, 10646, 16556, 108208, 17129, 106358, 103309, 16144, 104773, 103351, 109335, 5486, 61304, 125534, 83601, 103, 21388, 119775, 112727, 105368, 16144, 103031, 24273, 20230, 86436, 76947, 114604, 116421, 101200, 1811, 113204, 245, 13357, 229, 20230, 17129, 81219, 106644, 47884, 101426, 30369, 101721, 79059, 16144, 31958, 30369, 30813, 20230, 5486, 102362, 104680, 15682, 31195, 45631, 102616, 55031, 103309, 29295, 33420, 107800, 76864, 112031, 15722, 241, 104940, 16144, 71174, 95371, 122765, 28713, 102131, 38641, 1811, 220, 18, 9953, 106968, 20230, 102404, 103507, 103646, 108008, 30926, 107328, 107322, 78244, 32977, 5486, 806, 9953, 106968, 103296, 16144, 109337, 101544, 29295, 122074, 121256, 1811, 220, 80673, 5486, 107507, 17792, 71289, 115517, 33035, 16144, 19000, 101987, 48915, 29504, 114754, 30832, 64467, 56051, 104468, 5486, 110298, 23530, 104773, 55031, 101918, 71289, 119732, 29220, 16556, 1272, 17620, 113314, 16556, 23039, 105784, 45923, 11972, 25197, 60868, 113821, 109224, 16144, 109098, 27384, 80631, 107, 53610, 107980, 102717, 19732, 31431, 113245, 106063, 37026, 92693, 25197, 102832, 52414, 16556, 56051, 1811, 220, 605, 4484, 11, 220, 843, 4484, 11, 220, 1041, 4484, 123160, 31958, 30369, 30813, 16144, 53953, 115991, 33541, 1811, 397, 8107, 92877, 102334, 109297, 15682, 30868, 247, 104680, 19732, 33334, 46034, 108044, 16995, 98369, 30512, 39926, 122502, 102334, 5486, 107571, 15682, 104503, 16144, 115514, 78228, 114475, 76622, 120321, 105557, 121410, 9080, 33334, 86894, 241, 45829, 30512, 102456, 76947, 121120, 101732, 1811, 114071, 110195, 15682, 102147, 226, 30832, 105321, 38641, 57980, 2243, 231, 91576, 240, 1811, 116056, 76868, 15682, 5486, 51385, 23187, 32648, 104309, 28542, 111371, 18904, 47095, 29295, 28542, 111371, 36651, 29430, 71289, 76171, 66953, 108337, 29430, 107118, 37087, 47884, 108901, 26854, 31431, 5486, 28542, 111371, 36651, 110214, 16556, 5486, 43240, 119064, 93488, 57326, 29295, 15120, 7741, 231, 20230, 95399, 47884, 28542, 111371, 54926, 66378, 17599, 112, 114792, 76947, 61689, 1811, 113202, 47884, 59739, 72661, 106391, 16995, 107515, 5486, 17701, 100472, 31431, 20834, 115926, 30512, 103721, 108, 31431, 104196, 78434, 1811, 220, 108064, 67016, 114181, 101426, 16144, 30832, 106157, 115717, 5486, 59739, 16995, 102052, 112345, 75267, 48154, 19732, 20230, 9039, 103633, 17792, 110904, 25129, 16144, 114181, 101426, 65854, 30512, 43167, 107436, 112028, 7741, 231, 21441, 248, 102639, 5486, 102677, 109161, 21105, 235, 89753, 23039, 30512, 104394, 50834, 33541, 1811, 220, 90620, 5486, 117831, 31431, 104650, 62004, 16144, 118633, 70563, 16073, 104309, 30512, 121771, 98369, 33655, 30297, 105879, 5486, 117896, 32977, 118899, 15682, 117501, 21980, 248, 108208, 20230, 55487, 101557, 106, 56051, 53610, 20230, 50338, 76622, 87844, 16995, 36827, 61994, 72238, 103234, 104309, 32977, 115079, 107290, 50834, 79721, 1811, 220, 20, 76, 39442, 112624, 16144, 82912, 102052, 102332, 22324, 103801, 220, 72342, 25827, 1811, 397, 91763, 100472, 19732, 115963, 20230, 5486, 45631, 118116, 107707, 36827, 51609, 29295, 124461, 30297, 84389, 33541, 104466, 5486, 127365, 17792, 104770, 29295, 50211, 34208, 116787, 33541, 104466, 10646, 220, 102677, 104466, 5486, 104849, 230, 31431, 64209, 20230, 31640, 107290, 103801, 116285, 5486, 220, 102131, 17663, 31431, 101668, 6704, 28857, 107290, 106644, 47884, 110783, 15682, 13153, 81258, 54926, 113334, 16556, 5486, 6704, 28857, 107290, 106644, 47884, 110783, 15682, 33420, 107290, 103801, 76947, 5486, 42579, 253, 19000, 16144, 103926, 16144, 110783, 5486, 104873, 34208, 16144, 110783, 29295, 220, 110924, 20230, 102321, 106824, 109749, 113334, 38641, 57980, 1811, 18049, 222, 85791, 25827, 5486, 38093, 75267, 120774, 77181, 111800, 104840, 71289, 46034, 64467, 33420, 109177, 32977, 23039, 103836, 16144, 119627, 5486, 74482, 55031, 74482, 55031, 114754, 110408, 15024, 108385, 127397, 5486, 47260, 42634, 96452, 54656, 235, 104309, 17663, 42891, 107277, 114408, 50834, 107850, 104127, 114604, 105933, 104371, 47523, 38641, 1811, 116056, 76868, 15682, 5486, 117382, 15682, 28542, 111371, 36651, 10110, 121538, 20230, 112844, 13177, 41758, 42634, 108994, 108969, 10646, 7705, 19732, 103214, 64121, 114146, 38144, 38129, 54926, 112973, 108936, 9554, 16556, 5486, 101721, 39084, 30512, 17701, 106824, 55031, 28542, 111371, 54926, 103296, 20230, 82973, 29295, 32149, 107277, 5486, 66378, 20230, 28542, 111371, 36651, 29295, 102491, 115737, 104533, 122270, 28542, 111371, 29295, 30250, 227, 47884, 109020, 102083, 100472, 124490, 28542, 115991, 79721, 1811, 220, 80673, 5486, 89408, 15682, 77693, 32977, 16325, 82533, 115717, 5486, 31640, 78183, 112586, 77693, 120577, 117831, 31431, 30512, 47307, 25005, 248, 11972, 103722, 5486, 18, 107707, 101538, 103826, 61304, 104611, 66201, 25580, 108285, 75267, 5486, 109933, 107060, 57326, 39880, 48552, 103722, 104309, 23530, 32943, 105572, 22, 71493, 32938, 20230, 127950, 15024, 5486, 110924, 16556, 32131, 107060, 118567, 101538, 103293, 16144, 89753, 33121, 30512, 21980, 110, 104004, 108044, 105156, 16144, 107875, 16995, 32977, 24326, 104, 105651, 107001, 100909, 115717, 79721, 1811, 1621, 220, 20713, 81191, 8107, 56965, 108948, 59739, 32149, 33121, 30813, 103296, 56051, 16449, 31195, 220, 31195, 80539, 5486, 97135, 16995, 79721, 1811, 113202, 108005, 118, 25827, 20230, 125636, 103950, 5486, 113202, 108005, 118, 25827, 20230, 105243, 110596, 16144, 118958, 16144, 110783, 30512, 105961, 102131, 119150, 55031, 111108, 102800, 104127, 5486, 101961, 105564, 15120, 105564, 125338, 106644, 76622, 81219, 5486, 116474, 29295, 38144, 101544, 16995, 56965, 16144, 33014, 111186, 103306, 5486, 104523, 40265, 20230, 33420, 107290, 106644, 47884, 110783, 29295, 18049, 237, 126469, 109749, 113334, 38641, 1811, 397, 58426, 102717, 32149, 105352, 5486, 101426, 103836, 106157, 15682, 67645, 33121, 120264, 57903, 33541, 32149, 11571, 220, 67645, 103171, 106157, 107407, 123253, 32149, 11571, 116996, 16144, 106157, 107809, 16556, 17701, 76947, 115226, 106157, 29295, 30591, 104984, 5486, 17701, 76947, 64121, 17129, 109954, 1811, 112119, 107873, 29295, 123733, 76947, 114732, 109335, 100604, 16144, 19732, 112361, 104466, 106116, 101426, 32977, 104662, 39926, 33420, 105262, 109335, 124897, 1811, 220, 85701, 76947, 31809, 104575, 16144, 126101, 108710, 16995, 23897, 123470, 104378, 16556, 43240, 104680, 33655, 78183, 115032, 25827, 17663, 29295, 120268, 104575, 23897, 123470, 53508, 231, 104195, 30512, 108056, 103306, 16995, 100604, 114754, 58426, 110674, 53508, 246, 121953, 103792, 107803, 115991, 33541, 1811, 111092, 233, 109013, 112973, 123628, 32131, 105117, 78683, 71493, 118565, 48552, 16144, 119400, 16556, 40265, 39177, 15682, 109467, 69223, 108055, 122101, 123218, 76947, 30591, 25827, 109709, 43568, 102518, 55031, 17663, 48154, 16995, 115389, 16995, 103351, 1811, 125447, 16144, 101721, 79059, 105110, 81219, 5486, 106384, 32131, 73590, 29295, 102769, 33121, 5486, 33035, 101721, 21105, 103, 115737, 76947, 106116, 107734, 118146, 105721, 105262, 112973, 110219, 38641, 123794, 1811, 112031, 117952, 103468, 105908, 57903, 33541, 1811, 40003, 255, 34208, 1774, 8107, 10110, 4468, 15, 120732, 122202, 116044, 105755, 5486, 111344, 16144, 86127, 101310, 120, 91739, 253, 5486, 106157, 16144, 103932, 104088, 38144, 101662, 100472, 123488, 46729, 16144, 73597, 251, 101129, 106644, 30297, 16144, 55723, 111848, 101778, 106344, 102865, 38641, 1811, 397, 32977, 43514, 85791, 25827, 5486, 104238, 235, 101426, 111371, 102052, 102159, 33014, 104364, 29295, 30591, 76947, 15120, 107963, 102052, 78244, 58942, 107515, 29295, 115408, 15682, 77693, 30512, 98499, 102189, 74482, 5486, 104238, 235, 101426, 111371, 15682, 28542, 76622, 112043, 110214, 16556, 5486, 39209, 109033, 29295, 15682, 30369, 111201, 114485, 100472, 106592, 103350, 99750, 127145, 1811, 220, 3965, 76, 71689, 16144, 72404, 45736, 114050, 91482, 33710, 220, 3965, 76, 71689, 16144, 72404, 45736, 114050, 91482, 114615, 107803, 5486, 32335, 17905, 34048, 19732, 32335, 17905, 34048, 105755, 17297, 102416, 4103, 13, 112677, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 112677, 78694, 90581, 13, 18049, 230, 47884, 36896, 111108, 102800, 5486, 111108, 102800, 10646, 112031, 112844, 114754, 107991, 123682, 5486, 116474, 110104, 55031, 111108, 102800, 105879, 5486, 116474, 104984, 111108, 106624, 124897, 38641, 57980, 1811, 73958, 101426, 27479, 19732, 45736, 101426, 27479, 16144, 53953, 115991, 5486, 1399, 76, 71689, 97718, 124623, 104584, 9458, 109673, 106499, 16556, 11881, 120, 56965, 108502, 104698, 105888, 109375, 30512, 102332, 22324, 15024, 220, 100604, 107803, 20230, 121270, 101426, 27479, 16144, 101828, 39135, 114743, 108502, 104698, 111371, 97718, 102332, 22324, 29295, 104577, 102781, 122382, 124195, 61689, 1811, 220, 122582, 103826, 104680, 26854, 114284, 71289, 125641, 29295, 124629, 107960, 75694, 100472, 115364, 64209, 16144, 37087, 33014, 66201, 38641, 1811, 1621, 65218, 16144, 117039, 108285, 58655, 16556, 5486, 15308, 225, 76505, 72099, 16144, 106848, 112810, 20230, 108285, 58655, 30512, 9085, 120, 231, 72342, 28713, 104468, 33671, 16144, 114667, 55031, 38641, 1811, 121655, 43514, 85791, 25827, 101778, 106344, 102865, 32977, 109657, 101911, 103306, 102717, 19732, 124592, 102669, 25580, 19732, 58426, 110674, 16144, 83799, 16556, 112167, 101275, 26854, 31431, 1811, 110124, 103, 99397, 17161, 55031, 5486, 37656, 105184, 20230, 113385, 30512, 66378, 23187, 54926, 30926, 15682, 111108, 102800 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 32218, 86867, 15024, 5486, 110022, 9039, 66224, 68093, 25963, 102159, 112212, 106045, 23187, 16144, 101426, 27479, 30512, 50928, 100934, 63415, 54322, 107969, 15682, 5486, 124597, 124606, 123570, 18655, 47000, 55038, 30512, 16325, 35894, 16144, 107461, 84477, 57207, 116099, 106391, 67178, 106004, 49792, 101908, 39926, 101182, 63415, 117355, 33857, 33208, 56051, 10110, 110022, 30358, 33857, 103664, 44597, 7501, 7705, 63415, 23187, 35083, 17701, 48634, 101721, 121819, 15682, 116531, 117812, 78250, 27113, 122913, 16556, 5486, 123532, 37507, 25446, 19732, 39209, 109033, 88367, 110325, 85241, 112, 63415, 101544, 117539, 51609, 103195, 100909, 10110, 118656, 9554, 102052, 78250, 32307, 82973, 7705, 80673, 5486, 106613, 8107, 113245, 101426, 27479, 103167, 17297, 30512, 78698, 101557, 106, 10110, 44597, 27113, 113127, 103167, 17297, 7705, 39926, 220, 25963, 32307, 44597, 125215, 27113, 82973, 117408, 1811, 220, 58426, 13177, 115924, 103192, 10646, 15682, 67645, 103171, 39135, 123253, 32149, 11571, 45631, 115924, 103192, 10646, 107809, 109156, 114598, 126521, 38641, 15024, 5486, 48915, 55031, 27280, 118, 109315, 103378, 72661, 106391, 16995, 107515, 1811, 111002, 11972, 25197, 107059, 20251, 16073, 22656, 37507, 16144, 115552, 107118, 11571, 118830, 8107, 5486, 30590, 24186, 19732, 103214, 102189, 120523, 108695, 104309, 29295, 27384, 112495, 38093, 75267, 20230, 114181, 65854, 30512, 43167, 62004, 5486, 9039, 103633, 17792, 102944, 114754, 15120, 7741, 231, 20230, 47260, 91062, 117243, 25197, 30512, 21441, 248, 102639, 30369, 5486, 102677, 105647, 46034, 26854, 106482, 66201, 29295, 68759, 118283, 101198, 71289, 118823, 20230, 89753, 107001, 101200, 110276, 55031, 123253, 32149, 1811, 220, 3965, 76, 71689, 16144, 124623, 104584, 9458, 109673, 106499, 102052, 45736, 101426, 27479, 16144, 110849, 39135, 114743, 108502, 104698, 111371, 16144, 105864, 255, 22324, 29295, 104577, 102781, 122382, 33503, 18049, 234, 127280, 1811, 220, 85701, 33503, 30512, 124475, 56051, 122013, 89046, 33121, 71289, 71493, 103830, 33710, 105459, 29295, 5486, 53610, 115195, 20230, 101860, 33503, 111842, 105360, 104369, 43568, 9039, 16144, 48154, 111371, 31958, 30512, 116310, 104127, 102332, 76622, 109115, 111179, 50834, 18904, 127103, 117158, 38144, 116826, 29295, 64121, 121423, 5486, 107059, 20251, 113883, 102185, 117831, 112586, 68379, 17129, 103468, 42634, 65299, 102741, 29220, 19732, 101911, 102765, 20230, 111371, 30512, 111371, 15024, 5486, 109518, 20230, 19012, 110, 102639, 38144, 33334, 55228, 230, 31431, 30512, 15017, 100, 102639, 28713, 30591, 19732, 16556, 105970, 28190, 20230, 111179, 32149, 103854, 33541, 1811, 112677, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 220, 85701, 120577, 31634, 63212, 15682, 5486, 84851, 23187, 119627, 16449, 16449, 41766, 231, 101721, 32938, 104721, 121819, 32648, 5486, 118726, 17905, 104721, 121819, 32648, 5486, 37705, 101721, 101911, 5486, 55487, 101721, 101911, 123160, 37729, 33857, 127242, 122291, 55031, 16449, 16449, 1811, 220, 67645, 112384, 116446, 32977, 5486, 64209, 16144, 111371, 15682, 33420, 58942, 107515, 55031, 48154, 51385, 64209, 30512, 1811, 397, 127637, 119448, 47884, 102987, 16995, 105324, 107246, 30512, 39926, 106116, 74482, 106644, 121710, 111842, 113351, 29430, 105324, 107246, 30512, 103721, 108, 31431, 104196, 78434, 1811, 220, 19, 118943, 110382, 103296, 39926, 126738, 28542, 111371, 21105, 103, 16995, 126513, 5486, 123274, 16144, 75146, 88631, 71289, 20251, 93488, 117718, 16937, 103424, 29295, 113727, 110071, 105879, 127426, 22649, 117158, 17663, 32149, 107691, 16995, 109913, 58942, 30512, 78698, 105262, 1811, 101377, 92877, 102334, 58850, 15682, 57980, 85791, 57980, 85791, 19732, 31809, 30813, 26854, 40198, 239, 16556, 122502, 16995, 101732, 1811, 107399, 102, 16144, 123457, 113487, 50834, 5486, 111006, 30512, 100783, 102, 107436, 37823, 32131, 107840, 78434, 1811, 116056, 121894, 29295, 106307, 126145, 71289, 29295, 38144, 28542, 111371, 15024, 20230, 47884, 115737, 31431, 5486, 114626, 102052, 37087, 47884, 28542, 32149, 123733, 31431, 33541, 1811, 125283, 101426, 34048, 19732, 101721, 39084, 34048, 5486, 41642, 115195, 102867, 27479, 111800, 20834, 32648, 104309, 220, 55031, 13153, 31431, 102404, 101426, 34048, 15682, 45736, 126120, 96455, 62903, 64810, 101335, 16073, 38129, 16556, 124996, 76739, 102750, 25287, 16449, 16449, 31195, 40003, 120, 56965, 1049, 11, 931, 4484, 10110, 107391, 111670, 32131, 1811, 111971, 23538, 112535, 104721, 107290, 113334, 111769, 16144, 119627, 5486, 101377, 106968, 5486, 121410, 8107, 717, 9953, 101983, 104533, 114834, 16144, 113692, 25287, 104238, 235, 101426, 111371, 29295, 59739, 32149, 123733, 31431, 33541, 1811, 397, 32149, 59739, 38144, 110382, 29295, 5486, 73597, 251, 101129, 106644, 30297, 16144, 121995, 119775, 13177, 111482, 39135, 10646, 16556, 108208, 17129, 106358, 103309, 16144, 104773, 103351, 109335, 5486, 61304, 125534, 83601, 103, 21388, 119775, 112727, 105368, 16144, 103031, 24273, 20230, 86436, 76947, 114604, 116421, 101200, 1811, 113204, 245, 13357, 229, 20230, 17129, 81219, 106644, 47884, 101426, 30369, 101721, 79059, 16144, 31958, 30369, 30813, 20230, 5486, 102362, 104680, 15682, 31195, 45631, 102616, 55031, 103309, 29295, 33420, 107800, 76864, 112031, 15722, 241, 104940, 16144, 71174, 95371, 122765, 28713, 102131, 38641, 1811, 220, 18, 9953, 106968, 20230, 102404, 103507, 103646, 108008, 30926, 107328, 107322, 78244, 32977, 5486, 806, 9953, 106968, 103296, 16144, 109337, 101544, 29295, 122074, 121256, 1811, 220, 80673, 5486, 107507, 17792, 71289, 115517, 33035, 16144, 19000, 101987, 48915, 29504, 114754, 30832, 64467, 56051, 104468, 5486, 110298, 23530, 104773, 55031, 101918, 71289, 119732, 29220, 16556, 1272, 17620, 113314, 16556, 23039, 105784, 45923, 11972, 25197, 60868, 113821, 109224, 16144, 109098, 27384, 80631, 107, 53610, 107980, 102717, 19732, 31431, 113245, 106063, 37026, 92693, 25197, 102832, 52414, 16556, 56051, 1811, 220, 605, 4484, 11, 220, 843, 4484, 11, 220, 1041, 4484, 123160, 31958, 30369, 30813, 16144, 53953, 115991, 33541, 1811, 397, 8107, 92877, 102334, 109297, 15682, 30868, 247, 104680, 19732, 33334, 46034, 108044, 16995, 98369, 30512, 39926, 122502, 102334, 5486, 107571, 15682, 104503, 16144, 115514, 78228, 114475, 76622, 120321, 105557, 121410, 9080, 33334, 86894, 241, 45829, 30512, 102456, 76947, 121120, 101732, 1811, 114071, 110195, 15682, 102147, 226, 30832, 105321, 38641, 57980, 2243, 231, 91576, 240, 1811, 116056, 76868, 15682, 5486, 51385, 23187, 32648, 104309, 28542, 111371, 18904, 47095, 29295, 28542, 111371, 36651, 29430, 71289, 76171, 66953, 108337, 29430, 107118, 37087, 47884, 108901, 26854, 31431, 5486, 28542, 111371, 36651, 110214, 16556, 5486, 43240, 119064, 93488, 57326, 29295, 15120, 7741, 231, 20230, 95399, 47884, 28542, 111371, 54926, 66378, 17599, 112, 114792, 76947, 61689, 1811, 113202, 47884, 59739, 72661, 106391, 16995, 107515, 5486, 17701, 100472, 31431, 20834, 115926, 30512, 103721, 108, 31431, 104196, 78434, 1811, 220, 108064, 67016, 114181, 101426, 16144, 30832, 106157, 115717, 5486, 59739, 16995, 102052, 112345, 75267, 48154, 19732, 20230, 9039, 103633, 17792, 110904, 25129, 16144, 114181, 101426, 65854, 30512, 43167, 107436, 112028, 7741, 231, 21441, 248, 102639, 5486, 102677, 109161, 21105, 235, 89753, 23039, 30512, 104394, 50834, 33541, 1811, 220, 90620, 5486, 117831, 31431, 104650, 62004, 16144, 118633, 70563, 16073, 104309, 30512, 121771, 98369, 33655, 30297, 105879, 5486, 117896, 32977, 118899, 15682, 117501, 21980, 248, 108208, 20230, 55487, 101557, 106, 56051, 53610, 20230, 50338, 76622, 87844, 16995, 36827, 61994, 72238, 103234, 104309, 32977, 115079, 107290, 50834, 79721, 1811, 220, 20, 76, 39442, 112624, 16144, 82912, 102052, 102332, 22324, 103801, 220, 72342, 25827, 1811, 397, 91763, 100472, 19732, 115963, 20230, 5486, 45631, 118116, 107707, 36827, 51609, 29295, 124461, 30297, 84389, 33541, 104466, 5486, 127365, 17792, 104770, 29295, 50211, 34208, 116787, 33541, 104466, 10646, 220, 102677, 104466, 5486, 104849, 230, 31431, 64209, 20230, 31640, 107290, 103801, 116285, 5486, 220, 102131, 17663, 31431, 101668, 6704, 28857, 107290, 106644, 47884, 110783, 15682, 13153, 81258, 54926, 113334, 16556, 5486, 6704, 28857, 107290, 106644, 47884, 110783, 15682, 33420, 107290, 103801, 76947, 5486, 42579, 253, 19000, 16144, 103926, 16144, 110783, 5486, 104873, 34208, 16144, 110783, 29295, 220, 110924, 20230, 102321, 106824, 109749, 113334, 38641, 57980, 1811, 18049, 222, 85791, 25827, 5486, 38093, 75267, 120774, 77181, 111800, 104840, 71289, 46034, 64467, 33420, 109177, 32977, 23039, 103836, 16144, 119627, 5486, 74482, 55031, 74482, 55031, 114754, 110408, 15024, 108385, 127397, 5486, 47260, 42634, 96452, 54656, 235, 104309, 17663, 42891, 107277, 114408, 50834, 107850, 104127, 114604, 105933, 104371, 47523, 38641, 1811, 116056, 76868, 15682, 5486, 117382, 15682, 28542, 111371, 36651, 10110, 121538, 20230, 112844, 13177, 41758, 42634, 108994, 108969, 10646, 7705, 19732, 103214, 64121, 114146, 38144, 38129, 54926, 112973, 108936, 9554, 16556, 5486, 101721, 39084, 30512, 17701, 106824, 55031, 28542, 111371, 54926, 103296, 20230, 82973, 29295, 32149, 107277, 5486, 66378, 20230, 28542, 111371, 36651, 29295, 102491, 115737, 104533, 122270, 28542, 111371, 29295, 30250, 227, 47884, 109020, 102083, 100472, 124490, 28542, 115991, 79721, 1811, 220, 80673, 5486, 89408, 15682, 77693, 32977, 16325, 82533, 115717, 5486, 31640, 78183, 112586, 77693, 120577, 117831, 31431, 30512, 47307, 25005, 248, 11972, 103722, 5486, 18, 107707, 101538, 103826, 61304, 104611, 66201, 25580, 108285, 75267, 5486, 109933, 107060, 57326, 39880, 48552, 103722, 104309, 23530, 32943, 105572, 22, 71493, 32938, 20230, 127950, 15024, 5486, 110924, 16556, 32131, 107060, 118567, 101538, 103293, 16144, 89753, 33121, 30512, 21980, 110, 104004, 108044, 105156, 16144, 107875, 16995, 32977, 24326, 104, 105651, 107001, 100909, 115717, 79721, 1811, 1621, 220, 20713, 81191, 8107, 56965, 108948, 59739, 32149, 33121, 30813, 103296, 56051, 16449, 31195, 220, 31195, 80539, 5486, 97135, 16995, 79721, 1811, 113202, 108005, 118, 25827, 20230, 125636, 103950, 5486, 113202, 108005, 118, 25827, 20230, 105243, 110596, 16144, 118958, 16144, 110783, 30512, 105961, 102131, 119150, 55031, 111108, 102800, 104127, 5486, 101961, 105564, 15120, 105564, 125338, 106644, 76622, 81219, 5486, 116474, 29295, 38144, 101544, 16995, 56965, 16144, 33014, 111186, 103306, 5486, 104523, 40265, 20230, 33420, 107290, 106644, 47884, 110783, 29295, 18049, 237, 126469, 109749, 113334, 38641, 1811, 397, 58426, 102717, 32149, 105352, 5486, 101426, 103836, 106157, 15682, 67645, 33121, 120264, 57903, 33541, 32149, 11571, 220, 67645, 103171, 106157, 107407, 123253, 32149, 11571, 116996, 16144, 106157, 107809, 16556, 17701, 76947, 115226, 106157, 29295, 30591, 104984, 5486, 17701, 76947, 64121, 17129, 109954, 1811, 112119, 107873, 29295, 123733, 76947, 114732, 109335, 100604, 16144, 19732, 112361, 104466, 106116, 101426, 32977, 104662, 39926, 33420, 105262, 109335, 124897, 1811, 220, 85701, 76947, 31809, 104575, 16144, 126101, 108710, 16995, 23897, 123470, 104378, 16556, 43240, 104680, 33655, 78183, 115032, 25827, 17663, 29295, 120268, 104575, 23897, 123470, 53508, 231, 104195, 30512, 108056, 103306, 16995, 100604, 114754, 58426, 110674, 53508, 246, 121953, 103792, 107803, 115991, 33541, 1811, 111092, 233, 109013, 112973, 123628, 32131, 105117, 78683, 71493, 118565, 48552, 16144, 119400, 16556, 40265, 39177, 15682, 109467, 69223, 108055, 122101, 123218, 76947, 30591, 25827, 109709, 43568, 102518, 55031, 17663, 48154, 16995, 115389, 16995, 103351, 1811, 125447, 16144, 101721, 79059, 105110, 81219, 5486, 106384, 32131, 73590, 29295, 102769, 33121, 5486, 33035, 101721, 21105, 103, 115737, 76947, 106116, 107734, 118146, 105721, 105262, 112973, 110219, 38641, 123794, 1811, 112031, 117952, 103468, 105908, 57903, 33541, 1811, 40003, 255, 34208, 1774, 8107, 10110, 4468, 15, 120732, 122202, 116044, 105755, 5486, 111344, 16144, 86127, 101310, 120, 91739, 253, 5486, 106157, 16144, 103932, 104088, 38144, 101662, 100472, 123488, 46729, 16144, 73597, 251, 101129, 106644, 30297, 16144, 55723, 111848, 101778, 106344, 102865, 38641, 1811, 397, 32977, 43514, 85791, 25827, 5486, 104238, 235, 101426, 111371, 102052, 102159, 33014, 104364, 29295, 30591, 76947, 15120, 107963, 102052, 78244, 58942, 107515, 29295, 115408, 15682, 77693, 30512, 98499, 102189, 74482, 5486, 104238, 235, 101426, 111371, 15682, 28542, 76622, 112043, 110214, 16556, 5486, 39209, 109033, 29295, 15682, 30369, 111201, 114485, 100472, 106592, 103350, 99750, 127145, 1811, 220, 3965, 76, 71689, 16144, 72404, 45736, 114050, 91482, 33710, 220, 3965, 76, 71689, 16144, 72404, 45736, 114050, 91482, 114615, 107803, 5486, 32335, 17905, 34048, 19732, 32335, 17905, 34048, 105755, 17297, 102416, 4103, 13, 112677, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 90581, 112677, 78694, 90581, 13, 18049, 230, 47884, 36896, 111108, 102800, 5486, 111108, 102800, 10646, 112031, 112844, 114754, 107991, 123682, 5486, 116474, 110104, 55031, 111108, 102800, 105879, 5486, 116474, 104984, 111108, 106624, 124897, 38641, 57980, 1811, 73958, 101426, 27479, 19732, 45736, 101426, 27479, 16144, 53953, 115991, 5486, 1399, 76, 71689, 97718, 124623, 104584, 9458, 109673, 106499, 16556, 11881, 120, 56965, 108502, 104698, 105888, 109375, 30512, 102332, 22324, 15024, 220, 100604, 107803, 20230, 121270, 101426, 27479, 16144, 101828, 39135, 114743, 108502, 104698, 111371, 97718, 102332, 22324, 29295, 104577, 102781, 122382, 124195, 61689, 1811, 220, 122582, 103826, 104680, 26854, 114284, 71289, 125641, 29295, 124629, 107960, 75694, 100472, 115364, 64209, 16144, 37087, 33014, 66201, 38641, 1811, 1621, 65218, 16144, 117039, 108285, 58655, 16556, 5486, 15308, 225, 76505, 72099, 16144, 106848, 112810, 20230, 108285, 58655, 30512, 9085, 120, 231, 72342, 28713, 104468, 33671, 16144, 114667, 55031, 38641, 1811, 121655, 43514, 85791, 25827, 101778, 106344, 102865, 32977, 109657, 101911, 103306, 102717, 19732, 124592, 102669, 25580, 19732, 58426, 110674, 16144, 83799, 16556, 112167, 101275, 26854, 31431, 1811, 110124, 103, 99397, 17161, 55031, 5486, 37656, 105184, 20230, 113385, 30512, 66378, 23187, 54926, 30926, 15682, 111108, 102800 ]
[ 119627, 5486, 125396, 16144, 126574, 110480, 20230, 102782, 15024, 109415, 33541, 1811, 29, 128001, 128000, 83601, 104, 124623, 32938, 47260, 32131, 91062, 198, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 102052, 37656, 102800, 33710, 64178, 20230, 123532, 30297, 109215, 107407, 198, 102433, 77181, 5486, 112424, 16144, 23226, 37656, 113468, 83601, 104, 124623, 33710, 64178, 29295, 104721, 116547, 79721, 9174, 58426, 103846, 5486, 83601, 104, 124623, 116245, 30512, 102332, 105784, 102052, 108048, 108422, 33121, 16144, 102923, 102332, 16144, 104091, 104770, 20230, 106608, 100204, 28713, 5486, 37656, 102800, 33710, 64178, 20230, 123532, 30297, 109215, 107407, 16144, 38641, 9174, 37271, 18904, 16144, 47260, 32131, 91062, 77181, 108048, 108422, 33121, 16144, 102923, 102332, 16144, 104091, 104770, 20230, 106608, 100204, 28713, 13177, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 16144, 37656, 102800, 33710, 64178, 10646, 109853, 50338, 108323, 78434, 9174, 567, 110646, 104, 124623, 116245, 30512, 102332, 105784, 124122, 37656, 102800, 33710, 64178, 198, 126843, 5486, 59614, 101860, 112854, 107290, 33334, 107188, 118145, 105110, 100604, 112973, 5486, 83601, 104, 124623, 116245, 30512, 102332, 105784, 124122, 37656, 102800, 33710, 64178, 109853, 38641, 9174, 83601, 104, 124623, 116245, 30512, 111764, 20230, 102332, 76622, 110071, 102677, 102944, 126194, 5486, 102923, 102332, 48154, 19732, 20230, 102332, 105784, 124122, 33710, 64178, 29295, 104662, 62004, 124195, 61689, 9174, 45048, 103983, 104091, 102923, 102332, 7, 104575, 9458, 122412, 9458, 107338, 101513, 97518, 16144, 11795, 223, 63105, 236, 104309, 340, 121536, 30590, 32943, 108493, 124623, 104856, 76947, 108086, 5486, 102571, 48915, 16556, 101682, 91875, 83601, 104, 124623, 103181, 82533, 20230, 109215, 26854, 116876, 22324, 29295, 18655, 109115, 116245, 20230, 5486, 83601, 104, 124623, 116245, 16144, 102332, 22324, 29295, 88367, 7, 66378, 23187, 102571, 48915, 83601, 104, 124623, 116245, 340, 45048, 106135, 104091, 102923, 102332, 7, 123357, 32938, 9458, 49792, 75267, 9458, 122770, 9458, 104412, 104517, 9458, 115320, 102456, 72516, 104309, 340, 53229, 108630, 102571, 32943, 108493, 124623, 104856, 103836, 29295, 5486, 111419, 16144, 112113, 109904, 75146, 107253, 104309, 30512, 112624, 28713, 72342, 81219, 5486, 83601, 104, 124623, 114363, 11883, 102452, 104309, 30512, 102571, 32943, 20230, 102332, 22324, 54926, 105908, 88367, 9174, 102571, 48915, 7, 121536, 30590, 32943, 8, 109853, 15682, 5486, 106045, 44416, 15682, 110214, 9174, 59614, 101860, 112854, 107290, 33334, 105898, 16995, 112973, 5486, 17905, 61304, 102923, 102332, 16144, 33710, 64178, 16144, 121953, 109853, 38641, 9174, 122412, 123160, 103983, 104091, 102923, 102332, 15682, 5486, 121536, 30590, 32943, 108493, 124623, 104856, 76947, 61689, 105879, 5486, 102571, 32943, 15682, 32977, 43514, 85791, 25827, 102571, 48915, 20230, 83601, 104, 124623, 116245, 30512, 102332, 105784, 109335, 103082, 107515, 9174, 90620, 15024, 5486, 66378, 23187, 102571, 48915, 83601, 104, 124623, 116245, 16144, 102332, 22324, 15682, 104736, 62004, 124195, 61689, 9174, 51330, 66378, 23187, 102571, 48915, 83601, 104, 124623, 116245, 107118, 5486, 33671, 16144, 18, 118821, 77195, 30512, 112624, 28713, 17663, 116245, 38641, 9174, 118075, 110646, 104, 124623, 88367, 26854, 116245, 29295, 24775, 55723, 110731, 100909, 198, 119560, 108425, 247, 109375, 16556, 19012, 110, 20379, 110731, 100909, 198, 126892, 32386, 121, 102332, 16144, 107740, 30046, 29295, 117032, 118013, 17701, 110104, 116245, 7, 26892, 53953, 16144, 118124, 71289, 102571, 17905, 104309, 8, 20230, 102332, 22324, 54926, 100909, 198, 85701, 29295, 5486, 103983, 104091, 102923, 102332, 122692, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 16144, 33710, 64178, 104856, 76947, 61689, 9174, 108936, 109904, 90962, 106384, 22398, 104309, 29295, 109638, 40265, 54926, 106135, 104091, 102923, 102332, 77181, 5486, 111419, 16144, 112113, 9554, 75146, 107253, 30512, 112624, 28713, 17663, 100909, 71289, 83601, 104, 124623, 114363, 11883, 102452, 50667, 30512, 105888, 109375, 50667, 16556, 19012, 110, 20379, 54926, 100909, 112212, 5486, 102571, 32943, 105352, 83601, 104, 124623, 116245, 7, 83601, 104, 124623, 114363, 11883, 102452, 50667, 8, 30512, 102332, 105784, 105908, 88367, 38641, 9174, 111419, 16144, 112113, 9554, 75146, 107253, 107118, 5486, 33671, 16144, 18, 118821, 77195, 30512, 29220, 104612, 54926, 102944, 16144, 100909, 9174, 118075, 114424, 40526, 122692, 102452, 48915, 55031, 102452, 32943, 111363, 104346, 95399, 29295, 15, 13, 17, 76, 14, 47018, 71689, 198, 119560, 110944, 223, 71289, 36827, 103932, 104309, 113468, 24775, 55723, 110731, 100909, 198, 126892, 220, 28713, 81219, 51330, 124623, 29295, 102571, 48915, 20230, 61056, 95221, 110731, 100909, 198, 17905, 61304, 16144, 77195, 30512, 29220, 104612, 39926, 5486, 105888, 109375, 50667, 16556, 19012, 110, 20379, 117824, 116285, 5486, 103983, 104091, 102923, 102332, 107118, 108901, 26854, 31431, 5486, 102571, 32943, 105352, 83601, 104, 124623, 116245, 30512, 102332, 22324, 54926, 105908, 108608, 16144, 38641, 9174, 122270, 5486, 103983, 104091, 102923, 102332, 19732, 119448, 47884, 108901, 109020, 104468, 5486, 102571, 48915, 7, 121536, 30590, 32943, 8, 123863, 106045, 44416, 119703, 100909, 9174, 103983, 104091, 102923, 102332, 16144, 107803, 102052, 5486, 66378, 23187, 102571, 48915, 83601, 104, 124623, 116245, 16144, 77195, 30512, 29220, 104612, 21105, 103, 118145, 5486, 102571, 48915, 72661, 83601, 104, 124623, 116245, 30512, 102332, 22324, 118765, 33710, 64178, 104856, 76947, 61689, 9174, 80673, 5486, 106135, 104091, 102923, 102332, 121960, 15682, 106116, 105933, 33710, 64178, 15682, 102332, 76622, 102204, 100481, 107515, 9174, 58426, 103846, 5486, 125261, 9554, 112825, 110904, 20230, 102571, 48915, 20230, 83601, 104, 124623, 116245, 30512, 102332, 105784, 105908, 88367, 104856, 76947, 61689, 9174, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 16144, 33710, 64178, 29295, 5486, 102923, 102332, 113468, 108901, 109020, 28542, 20230, 114392, 61633, 39926, 33334, 50834, 17129, 109954, 9174, 567, 80721, 233, 48915, 20230, 106045, 44416, 29295, 103470, 111243, 55487, 101557, 106, 104577, 102781, 107407, 198, 30813, 50834, 108680, 15682, 5486, 106135, 104091, 102923, 102332, 121960, 15682, 102571, 48915, 123863, 106045, 44416, 120937, 19732, 50338, 108323, 121256, 29295, 5486, 109860, 19732, 119852, 111764, 20230, 83601, 104, 124623, 116245, 30512, 102332, 107441, 32977, 57980, 16995, 102677, 100909, 77181, 124897, 9174, 28713, 19732, 58942, 5486, 106045, 44416, 29295, 103470, 111243, 13177, 55487, 101557, 106, 104577, 102781, 10646, 115991, 33541, 9174, 112825, 110904, 20230, 78244, 116285, 5486, 103192, 17129, 100604, 101682, 91875, 83601, 104, 124623, 30512, 21990, 100204, 107726, 100604, 104466, 21105, 103, 118145, 16995, 124324, 102677, 100909, 38641, 9174, 55487, 101557, 106, 104577, 102781, 30512, 17486, 254, 104984, 5486, 66776, 83601, 104, 124623, 30046, 104309, 41642, 116310, 124911, 20230, 5486, 103192, 17129, 100604, 101682, 91875, 83601, 104, 124623, 29295, 21990, 100204, 38144, 114732, 32149, 110241, 33121, 107515, 9174, 53900, 5486, 41642, 116310, 124911, 19732, 83601, 104, 124623, 30512, 62004, 104699, 31431, 110745, 112495, 20251, 32131, 112193, 20230, 102404, 77413, 54926, 115789, 103911, 101067, 84389, 33541, 9174, 20251, 32131, 112193, 20230, 102404, 77413, 56051, 107803, 102052, 5486, 83601, 104, 124623, 116245, 16144, 125844, 86436, 32977, 103911, 101067, 84389, 33541, 15024, 5486, 32335, 109161, 16144, 107803, 102052, 126014, 29245, 253, 20230, 102404, 77413, 39926, 114732, 125396, 32977, 101182, 16144, 38641, 9174, 38641, 55031, 5486, 106045, 44416, 29295, 123207, 99849, 30512, 120837, 57980, 16995, 102677, 113727, 24273, 126194, 5486, 106045, 44416, 29295, 103470, 111243, 55487, 101557, 106, 104577, 102781, 30512, 17486, 254, 110104, 105908, 107693, 9174, 55487, 101557, 106, 104577, 102781, 109853, 119627, 5486, 31958, 105184, 26854, 23187, 62004, 15682, 124897, 105879, 115847, 117824, 116285, 27384, 121313, 102677, 102944, 15682, 124897, 29295, 5486, 33671, 120950, 102944, 29295, 118789, 27452, 103306, 123680, 102639, 124195, 61689, 9174, 9458, 83601, 104, 124623, 54926, 104983, 15682, 41642, 116310, 20230, 114754, 16995, 100604, 106592, 114140, 39926, 83601, 104, 124623, 123410, 198, 9458, 45829, 67645, 32977, 71289, 121648, 104309, 66378, 20230, 55487, 101557, 106, 29295, 109215, 26854, 114754, 43167, 115464, 116245, 71289, 60358, 47884, 20230, 107991, 116245, 77181, 5486, 83601, 104, 124623, 30512, 103851, 105262, 198, 83601, 104, 124623, 116245, 30512, 102332, 105784, 110366, 16144, 55487, 101557, 106, 104577, 102781, 16144, 118789, 27452, 103306, 15682, 5486, 33671, 120950, 102944, 115991, 33541, 9174, 9458, 17792, 33035, 111331, 127181, 116245, 102052, 102332, 22324, 21105, 103, 16995, 198, 9458, 23187, 23538, 112535, 80866, 19012, 225, 117824, 30297, 198, 9458, 80805, 111073, 38248, 115, 78205, 16073, 104309, 30512, 102332, 22324, 39926, 5486, 28713, 81219, 51330, 124623, 29295, 89753, 104028, 16144, 30512, 103181, 104699, 198, 55487, 101557, 106, 104577, 102781, 15682, 5486, 83601, 104, 124623, 30046, 22656, 17792, 32977, 102131, 119627, 5486, 83601, 104, 124623, 116245, 30512, 104908, 54926, 110366, 105352, 32018, 62004, 110071, 102944, 38641, 9174, 55487, 101557, 106, 104577, 102781, 16144, 118789, 109904, 23187, 62004, 119703, 103846, 5486, 59614, 101860, 15024, 32977, 37656, 50338, 107118, 78244, 58942, 107515, 29295, 5486, 41642, 116310, 111363, 55487, 101557, 106, 30512, 112727, 110615, 105908, 27384, 102769, 9174, 114392, 26854, 55487, 101557, 106, 117824, 30297, 118733, 5486, 43568, 102147, 226, 26854, 20251, 32131, 112193, 30512, 39442, 61994, 20230, 103181, 104699, 115789, 125545, 9174, 85701, 55031, 5486, 102571, 48915, 20230, 83601, 104, 124623, 116245, 30512, 102332, 105784, 102677, 103911, 23187, 16144, 107803, 102052, 5486, 55487, 101557, 106, 104577, 102781, 109853, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 10634, 120, 106839, 17701, 103350, 116486, 15682, 47260, 78459, 32131, 55031, 198, 565, 102923, 102332, 103283, 106839, 17701, 30926, 27452, 12423, 567, 220, 123011, 62004, 198, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 16144, 37656, 102800, 33710, 64178, 30512, 53283, 76947, 33334, 47884, 109335, 5486, 108008, 20230, 107693, 38641, 9174, 26854, 112371, 105110, 5486, 102923, 102332, 16144, 104091, 104770, 113468, 58426, 33710, 64178, 29295, 108901, 109020, 103846, 9174, 106135, 104091, 102923, 102332, 77181, 5486, 102571, 48915, 109853, 15682, 106045, 44416, 115991, 107515, 29295, 5486, 106045, 44416, 29295, 103470, 111243, 55487, 101557, 106, 104577, 102781, 115991, 33541, 9174, 51330, 55487, 101557, 106, 104577, 102781, 15682, 5486, 43240, 119064, 83601, 104, 124623, 30046, 29295, 112727, 106824, 103801, 16995, 29295, 43514, 26854, 120098, 38641, 9174, 27384, 112495, 20251, 32131, 112193, 30512, 103181, 104699, 103846, 105352, 5486, 55487, 101557, 106, 104577, 102781, 105352, 61633, 39926, 33334, 47884, 105908, 27384, 102769, 121711, 33541, 9174, 567, 122887, 47260, 32131, 91062, 198, 7058, 14711, 110646, 104, 124623, 102452, 71289, 83601, 104, 124623, 52884, 61398, 16144, 104091, 104770, 19732, 66378, 17599, 112, 11144, 102571, 32943, 48915, 9458, 113173, 102452, 104309, 112479, 14711, 80721, 233, 48915, 83601, 104, 124623, 52884, 61398, 102052, 103826, 104680, 26854, 117809, 107407, 6447, 117809, 103283, 20230, 126362, 198, 14711, 112697, 113834, 16556, 83601, 104, 124623, 15682, 88367, 11571, 112424, 77181, 104405, 26854, 103836, 104865, 95532, 14711, 110646, 104, 124623, 32938, 16144, 102332, 22324, 75146, 107253, 15682, 102571, 32943, 19732, 102571, 48915, 16556, 119448, 47884, 108901, 109020, 76947, 117475, 11571, 128001, 128000, 567, 112697, 22398, 70563, 47307, 37823, 103906, 19732, 119515, 107188, 114516, 34171, 30512, 104874, 107800, 198, 52030, 106528, 114363, 103722, 107430, 30512, 101662, 13153, 78434, 9174, 14711, 127333, 106528, 48864, 34048, 16144, 104378, 124957, 198, 567, 112697, 22398, 70563, 47307, 37823, 103906, 107294, 59739, 17129, 103468, 48864, 102802, 105994, 33503, 106624, 48864, 104369, 19, 8107, 56965, 198, 16, 8107, 33671, 198, 14711, 109388, 113598, 70626, 118146, 104356, 20230, 5486, 52030, 106528, 30046, 103306, 16144, 114516, 34171, 16144, 75146, 17920, 236, 30512, 101662, 104004, 198, 16, 8107, 33671, 15682, 5486, 111044, 108285, 16995, 100927, 113598, 19732, 102667, 21990, 103306, 16144, 108729, 109904, 53283, 109375, 30512, 96356, 107294, 76622, 33541, 1811, 122270, 52030, 106528, 114363, 103722, 107430, 20230, 109215, 26854, 103927, 22398, 70563, 47307, 37823, 103906, 109853, 48864, 102802, 5486, 52030, 106528, 16144, 103359, 47523, 30046, 110792, 116690, 34171, 30512, 106391, 113638, 54926, 124122, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 83301, 25333, 5486, 53900, 115847, 120577, 53283, 109375, 9458, 112113, 30512, 32977, 19732, 20230, 5486, 17792, 30512, 111006, 9554, 9458, 113116, 9554, 9458, 106222, 109904, 110366, 28190, 55031, 37087, 105390, 20230, 102178, 111665, 54926, 103984, 28542, 30512, 48864, 104369, 118733, 5486, 103359, 47523, 30046, 30512, 104654, 30046, 103306, 52030, 106528, 16144, 103984, 28542, 16556, 113954, 54926, 106556, 30512, 96356, 107294, 76622, 33541, 9174, 17, 8107, 33671, 198, 14711, 127333, 106528, 16144, 108729, 117282, 53283, 109375, 71289, 113727, 24273, 124905, 76947, 58426, 17792, 111363, 52030, 106528, 30512, 106839, 47884, 114363, 103722, 34171, 30512, 113598, 30297, 198, 17, 8107, 33671, 15682, 5486, 16, 8107, 33671, 20230, 107517, 100472, 52030, 106528, 30512, 48864, 104369, 110783, 110095, 124905, 16995, 5486, 66378, 20230, 33563, 105298, 71289, 113614, 112649, 124233, 30369, 114363, 103722, 75146, 17920, 236, 70626, 118322, 48864, 102802, 30512, 102987, 62004, 106272, 5486, 102208, 114363, 103722, 108761, 103438, 16144, 52030, 106528, 114363, 103722, 70626, 30832, 124259, 48864, 102802, 30512, 103130, 62004, 33541, 1811, 103359, 47523, 30046, 30512, 111006, 9458, 113116, 9458, 106222, 28190, 55031, 37087, 105390, 20230, 113954, 39926, 52030, 106528, 16144, 109215, 34171, 30512, 122225, 15024, 5486, 102159, 103283, 109904, 52030, 106528, 110238, 103129, 30512, 106839, 47884, 125456, 103188, 39607, 30512, 118368, 50834, 106272, 5486, 52030, 106528, 103350, 124299, 106556, 16144, 118726, 30512, 112258, 249, 58942, 100481, 50834, 33541, 9174, 18, 8107, 33671, 198, 14711, 112697, 22398, 70563, 47307, 37823, 103906, 106556, 5486, 52030, 106528, 103350, 124299, 106556, 30512, 122678, 30590, 103350, 108710, 16556, 110137, 81219, 17663, 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 ]
[ 119627, 5486, 125396, 16144, 126574, 110480, 20230, 102782, 15024, 109415, 33541, 1811, 29, 128001, 128000, 83601, 104, 124623, 32938, 47260, 32131, 91062, 198, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 102052, 37656, 102800, 33710, 64178, 20230, 123532, 30297, 109215, 107407, 198, 102433, 77181, 5486, 112424, 16144, 23226, 37656, 113468, 83601, 104, 124623, 33710, 64178, 29295, 104721, 116547, 79721, 9174, 58426, 103846, 5486, 83601, 104, 124623, 116245, 30512, 102332, 105784, 102052, 108048, 108422, 33121, 16144, 102923, 102332, 16144, 104091, 104770, 20230, 106608, 100204, 28713, 5486, 37656, 102800, 33710, 64178, 20230, 123532, 30297, 109215, 107407, 16144, 38641, 9174, 37271, 18904, 16144, 47260, 32131, 91062, 77181, 108048, 108422, 33121, 16144, 102923, 102332, 16144, 104091, 104770, 20230, 106608, 100204, 28713, 13177, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 16144, 37656, 102800, 33710, 64178, 10646, 109853, 50338, 108323, 78434, 9174, 567, 110646, 104, 124623, 116245, 30512, 102332, 105784, 124122, 37656, 102800, 33710, 64178, 198, 126843, 5486, 59614, 101860, 112854, 107290, 33334, 107188, 118145, 105110, 100604, 112973, 5486, 83601, 104, 124623, 116245, 30512, 102332, 105784, 124122, 37656, 102800, 33710, 64178, 109853, 38641, 9174, 83601, 104, 124623, 116245, 30512, 111764, 20230, 102332, 76622, 110071, 102677, 102944, 126194, 5486, 102923, 102332, 48154, 19732, 20230, 102332, 105784, 124122, 33710, 64178, 29295, 104662, 62004, 124195, 61689, 9174, 45048, 103983, 104091, 102923, 102332, 7, 104575, 9458, 122412, 9458, 107338, 101513, 97518, 16144, 11795, 223, 63105, 236, 104309, 340, 121536, 30590, 32943, 108493, 124623, 104856, 76947, 108086, 5486, 102571, 48915, 16556, 101682, 91875, 83601, 104, 124623, 103181, 82533, 20230, 109215, 26854, 116876, 22324, 29295, 18655, 109115, 116245, 20230, 5486, 83601, 104, 124623, 116245, 16144, 102332, 22324, 29295, 88367, 7, 66378, 23187, 102571, 48915, 83601, 104, 124623, 116245, 340, 45048, 106135, 104091, 102923, 102332, 7, 123357, 32938, 9458, 49792, 75267, 9458, 122770, 9458, 104412, 104517, 9458, 115320, 102456, 72516, 104309, 340, 53229, 108630, 102571, 32943, 108493, 124623, 104856, 103836, 29295, 5486, 111419, 16144, 112113, 109904, 75146, 107253, 104309, 30512, 112624, 28713, 72342, 81219, 5486, 83601, 104, 124623, 114363, 11883, 102452, 104309, 30512, 102571, 32943, 20230, 102332, 22324, 54926, 105908, 88367, 9174, 102571, 48915, 7, 121536, 30590, 32943, 8, 109853, 15682, 5486, 106045, 44416, 15682, 110214, 9174, 59614, 101860, 112854, 107290, 33334, 105898, 16995, 112973, 5486, 17905, 61304, 102923, 102332, 16144, 33710, 64178, 16144, 121953, 109853, 38641, 9174, 122412, 123160, 103983, 104091, 102923, 102332, 15682, 5486, 121536, 30590, 32943, 108493, 124623, 104856, 76947, 61689, 105879, 5486, 102571, 32943, 15682, 32977, 43514, 85791, 25827, 102571, 48915, 20230, 83601, 104, 124623, 116245, 30512, 102332, 105784, 109335, 103082, 107515, 9174, 90620, 15024, 5486, 66378, 23187, 102571, 48915, 83601, 104, 124623, 116245, 16144, 102332, 22324, 15682, 104736, 62004, 124195, 61689, 9174, 51330, 66378, 23187, 102571, 48915, 83601, 104, 124623, 116245, 107118, 5486, 33671, 16144, 18, 118821, 77195, 30512, 112624, 28713, 17663, 116245, 38641, 9174, 118075, 110646, 104, 124623, 88367, 26854, 116245, 29295, 24775, 55723, 110731, 100909, 198, 119560, 108425, 247, 109375, 16556, 19012, 110, 20379, 110731, 100909, 198, 126892, 32386, 121, 102332, 16144, 107740, 30046, 29295, 117032, 118013, 17701, 110104, 116245, 7, 26892, 53953, 16144, 118124, 71289, 102571, 17905, 104309, 8, 20230, 102332, 22324, 54926, 100909, 198, 85701, 29295, 5486, 103983, 104091, 102923, 102332, 122692, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 16144, 33710, 64178, 104856, 76947, 61689, 9174, 108936, 109904, 90962, 106384, 22398, 104309, 29295, 109638, 40265, 54926, 106135, 104091, 102923, 102332, 77181, 5486, 111419, 16144, 112113, 9554, 75146, 107253, 30512, 112624, 28713, 17663, 100909, 71289, 83601, 104, 124623, 114363, 11883, 102452, 50667, 30512, 105888, 109375, 50667, 16556, 19012, 110, 20379, 54926, 100909, 112212, 5486, 102571, 32943, 105352, 83601, 104, 124623, 116245, 7, 83601, 104, 124623, 114363, 11883, 102452, 50667, 8, 30512, 102332, 105784, 105908, 88367, 38641, 9174, 111419, 16144, 112113, 9554, 75146, 107253, 107118, 5486, 33671, 16144, 18, 118821, 77195, 30512, 29220, 104612, 54926, 102944, 16144, 100909, 9174, 118075, 114424, 40526, 122692, 102452, 48915, 55031, 102452, 32943, 111363, 104346, 95399, 29295, 15, 13, 17, 76, 14, 47018, 71689, 198, 119560, 110944, 223, 71289, 36827, 103932, 104309, 113468, 24775, 55723, 110731, 100909, 198, 126892, 220, 28713, 81219, 51330, 124623, 29295, 102571, 48915, 20230, 61056, 95221, 110731, 100909, 198, 17905, 61304, 16144, 77195, 30512, 29220, 104612, 39926, 5486, 105888, 109375, 50667, 16556, 19012, 110, 20379, 117824, 116285, 5486, 103983, 104091, 102923, 102332, 107118, 108901, 26854, 31431, 5486, 102571, 32943, 105352, 83601, 104, 124623, 116245, 30512, 102332, 22324, 54926, 105908, 108608, 16144, 38641, 9174, 122270, 5486, 103983, 104091, 102923, 102332, 19732, 119448, 47884, 108901, 109020, 104468, 5486, 102571, 48915, 7, 121536, 30590, 32943, 8, 123863, 106045, 44416, 119703, 100909, 9174, 103983, 104091, 102923, 102332, 16144, 107803, 102052, 5486, 66378, 23187, 102571, 48915, 83601, 104, 124623, 116245, 16144, 77195, 30512, 29220, 104612, 21105, 103, 118145, 5486, 102571, 48915, 72661, 83601, 104, 124623, 116245, 30512, 102332, 22324, 118765, 33710, 64178, 104856, 76947, 61689, 9174, 80673, 5486, 106135, 104091, 102923, 102332, 121960, 15682, 106116, 105933, 33710, 64178, 15682, 102332, 76622, 102204, 100481, 107515, 9174, 58426, 103846, 5486, 125261, 9554, 112825, 110904, 20230, 102571, 48915, 20230, 83601, 104, 124623, 116245, 30512, 102332, 105784, 105908, 88367, 104856, 76947, 61689, 9174, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 16144, 33710, 64178, 29295, 5486, 102923, 102332, 113468, 108901, 109020, 28542, 20230, 114392, 61633, 39926, 33334, 50834, 17129, 109954, 9174, 567, 80721, 233, 48915, 20230, 106045, 44416, 29295, 103470, 111243, 55487, 101557, 106, 104577, 102781, 107407, 198, 30813, 50834, 108680, 15682, 5486, 106135, 104091, 102923, 102332, 121960, 15682, 102571, 48915, 123863, 106045, 44416, 120937, 19732, 50338, 108323, 121256, 29295, 5486, 109860, 19732, 119852, 111764, 20230, 83601, 104, 124623, 116245, 30512, 102332, 107441, 32977, 57980, 16995, 102677, 100909, 77181, 124897, 9174, 28713, 19732, 58942, 5486, 106045, 44416, 29295, 103470, 111243, 13177, 55487, 101557, 106, 104577, 102781, 10646, 115991, 33541, 9174, 112825, 110904, 20230, 78244, 116285, 5486, 103192, 17129, 100604, 101682, 91875, 83601, 104, 124623, 30512, 21990, 100204, 107726, 100604, 104466, 21105, 103, 118145, 16995, 124324, 102677, 100909, 38641, 9174, 55487, 101557, 106, 104577, 102781, 30512, 17486, 254, 104984, 5486, 66776, 83601, 104, 124623, 30046, 104309, 41642, 116310, 124911, 20230, 5486, 103192, 17129, 100604, 101682, 91875, 83601, 104, 124623, 29295, 21990, 100204, 38144, 114732, 32149, 110241, 33121, 107515, 9174, 53900, 5486, 41642, 116310, 124911, 19732, 83601, 104, 124623, 30512, 62004, 104699, 31431, 110745, 112495, 20251, 32131, 112193, 20230, 102404, 77413, 54926, 115789, 103911, 101067, 84389, 33541, 9174, 20251, 32131, 112193, 20230, 102404, 77413, 56051, 107803, 102052, 5486, 83601, 104, 124623, 116245, 16144, 125844, 86436, 32977, 103911, 101067, 84389, 33541, 15024, 5486, 32335, 109161, 16144, 107803, 102052, 126014, 29245, 253, 20230, 102404, 77413, 39926, 114732, 125396, 32977, 101182, 16144, 38641, 9174, 38641, 55031, 5486, 106045, 44416, 29295, 123207, 99849, 30512, 120837, 57980, 16995, 102677, 113727, 24273, 126194, 5486, 106045, 44416, 29295, 103470, 111243, 55487, 101557, 106, 104577, 102781, 30512, 17486, 254, 110104, 105908, 107693, 9174, 55487, 101557, 106, 104577, 102781, 109853, 119627, 5486, 31958, 105184, 26854, 23187, 62004, 15682, 124897, 105879, 115847, 117824, 116285, 27384, 121313, 102677, 102944, 15682, 124897, 29295, 5486, 33671, 120950, 102944, 29295, 118789, 27452, 103306, 123680, 102639, 124195, 61689, 9174, 9458, 83601, 104, 124623, 54926, 104983, 15682, 41642, 116310, 20230, 114754, 16995, 100604, 106592, 114140, 39926, 83601, 104, 124623, 123410, 198, 9458, 45829, 67645, 32977, 71289, 121648, 104309, 66378, 20230, 55487, 101557, 106, 29295, 109215, 26854, 114754, 43167, 115464, 116245, 71289, 60358, 47884, 20230, 107991, 116245, 77181, 5486, 83601, 104, 124623, 30512, 103851, 105262, 198, 83601, 104, 124623, 116245, 30512, 102332, 105784, 110366, 16144, 55487, 101557, 106, 104577, 102781, 16144, 118789, 27452, 103306, 15682, 5486, 33671, 120950, 102944, 115991, 33541, 9174, 9458, 17792, 33035, 111331, 127181, 116245, 102052, 102332, 22324, 21105, 103, 16995, 198, 9458, 23187, 23538, 112535, 80866, 19012, 225, 117824, 30297, 198, 9458, 80805, 111073, 38248, 115, 78205, 16073, 104309, 30512, 102332, 22324, 39926, 5486, 28713, 81219, 51330, 124623, 29295, 89753, 104028, 16144, 30512, 103181, 104699, 198, 55487, 101557, 106, 104577, 102781, 15682, 5486, 83601, 104, 124623, 30046, 22656, 17792, 32977, 102131, 119627, 5486, 83601, 104, 124623, 116245, 30512, 104908, 54926, 110366, 105352, 32018, 62004, 110071, 102944, 38641, 9174, 55487, 101557, 106, 104577, 102781, 16144, 118789, 109904, 23187, 62004, 119703, 103846, 5486, 59614, 101860, 15024, 32977, 37656, 50338, 107118, 78244, 58942, 107515, 29295, 5486, 41642, 116310, 111363, 55487, 101557, 106, 30512, 112727, 110615, 105908, 27384, 102769, 9174, 114392, 26854, 55487, 101557, 106, 117824, 30297, 118733, 5486, 43568, 102147, 226, 26854, 20251, 32131, 112193, 30512, 39442, 61994, 20230, 103181, 104699, 115789, 125545, 9174, 85701, 55031, 5486, 102571, 48915, 20230, 83601, 104, 124623, 116245, 30512, 102332, 105784, 102677, 103911, 23187, 16144, 107803, 102052, 5486, 55487, 101557, 106, 104577, 102781, 109853, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 10634, 120, 106839, 17701, 103350, 116486, 15682, 47260, 78459, 32131, 55031, 198, 565, 102923, 102332, 103283, 106839, 17701, 30926, 27452, 12423, 567, 220, 123011, 62004, 198, 83601, 104, 124623, 116245, 30512, 102332, 105784, 107803, 16144, 37656, 102800, 33710, 64178, 30512, 53283, 76947, 33334, 47884, 109335, 5486, 108008, 20230, 107693, 38641, 9174, 26854, 112371, 105110, 5486, 102923, 102332, 16144, 104091, 104770, 113468, 58426, 33710, 64178, 29295, 108901, 109020, 103846, 9174, 106135, 104091, 102923, 102332, 77181, 5486, 102571, 48915, 109853, 15682, 106045, 44416, 115991, 107515, 29295, 5486, 106045, 44416, 29295, 103470, 111243, 55487, 101557, 106, 104577, 102781, 115991, 33541, 9174, 51330, 55487, 101557, 106, 104577, 102781, 15682, 5486, 43240, 119064, 83601, 104, 124623, 30046, 29295, 112727, 106824, 103801, 16995, 29295, 43514, 26854, 120098, 38641, 9174, 27384, 112495, 20251, 32131, 112193, 30512, 103181, 104699, 103846, 105352, 5486, 55487, 101557, 106, 104577, 102781, 105352, 61633, 39926, 33334, 47884, 105908, 27384, 102769, 121711, 33541, 9174, 567, 122887, 47260, 32131, 91062, 198, 7058, 14711, 110646, 104, 124623, 102452, 71289, 83601, 104, 124623, 52884, 61398, 16144, 104091, 104770, 19732, 66378, 17599, 112, 11144, 102571, 32943, 48915, 9458, 113173, 102452, 104309, 112479, 14711, 80721, 233, 48915, 83601, 104, 124623, 52884, 61398, 102052, 103826, 104680, 26854, 117809, 107407, 6447, 117809, 103283, 20230, 126362, 198, 14711, 112697, 113834, 16556, 83601, 104, 124623, 15682, 88367, 11571, 112424, 77181, 104405, 26854, 103836, 104865, 95532, 14711, 110646, 104, 124623, 32938, 16144, 102332, 22324, 75146, 107253, 15682, 102571, 32943, 19732, 102571, 48915, 16556, 119448, 47884, 108901, 109020, 76947, 117475, 11571, 128001, 128000, 567, 112697, 22398, 70563, 47307, 37823, 103906, 19732, 119515, 107188, 114516, 34171, 30512, 104874, 107800, 198, 52030, 106528, 114363, 103722, 107430, 30512, 101662, 13153, 78434, 9174, 14711, 127333, 106528, 48864, 34048, 16144, 104378, 124957, 198, 567, 112697, 22398, 70563, 47307, 37823, 103906, 107294, 59739, 17129, 103468, 48864, 102802, 105994, 33503, 106624, 48864, 104369, 19, 8107, 56965, 198, 16, 8107, 33671, 198, 14711, 109388, 113598, 70626, 118146, 104356, 20230, 5486, 52030, 106528, 30046, 103306, 16144, 114516, 34171, 16144, 75146, 17920, 236, 30512, 101662, 104004, 198, 16, 8107, 33671, 15682, 5486, 111044, 108285, 16995, 100927, 113598, 19732, 102667, 21990, 103306, 16144, 108729, 109904, 53283, 109375, 30512, 96356, 107294, 76622, 33541, 1811, 122270, 52030, 106528, 114363, 103722, 107430, 20230, 109215, 26854, 103927, 22398, 70563, 47307, 37823, 103906, 109853, 48864, 102802, 5486, 52030, 106528, 16144, 103359, 47523, 30046, 110792, 116690, 34171, 30512, 106391, 113638, 54926, 124122, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 83301, 25333, 5486, 53900, 115847, 120577, 53283, 109375, 9458, 112113, 30512, 32977, 19732, 20230, 5486, 17792, 30512, 111006, 9554, 9458, 113116, 9554, 9458, 106222, 109904, 110366, 28190, 55031, 37087, 105390, 20230, 102178, 111665, 54926, 103984, 28542, 30512, 48864, 104369, 118733, 5486, 103359, 47523, 30046, 30512, 104654, 30046, 103306, 52030, 106528, 16144, 103984, 28542, 16556, 113954, 54926, 106556, 30512, 96356, 107294, 76622, 33541, 9174, 17, 8107, 33671, 198, 14711, 127333, 106528, 16144, 108729, 117282, 53283, 109375, 71289, 113727, 24273, 124905, 76947, 58426, 17792, 111363, 52030, 106528, 30512, 106839, 47884, 114363, 103722, 34171, 30512, 113598, 30297, 198, 17, 8107, 33671, 15682, 5486, 16, 8107, 33671, 20230, 107517, 100472, 52030, 106528, 30512, 48864, 104369, 110783, 110095, 124905, 16995, 5486, 66378, 20230, 33563, 105298, 71289, 113614, 112649, 124233, 30369, 114363, 103722, 75146, 17920, 236, 70626, 118322, 48864, 102802, 30512, 102987, 62004, 106272, 5486, 102208, 114363, 103722, 108761, 103438, 16144, 52030, 106528, 114363, 103722, 70626, 30832, 124259, 48864, 102802, 30512, 103130, 62004, 33541, 1811, 103359, 47523, 30046, 30512, 111006, 9458, 113116, 9458, 106222, 28190, 55031, 37087, 105390, 20230, 113954, 39926, 52030, 106528, 16144, 109215, 34171, 30512, 122225, 15024, 5486, 102159, 103283, 109904, 52030, 106528, 110238, 103129, 30512, 106839, 47884, 125456, 103188, 39607, 30512, 118368, 50834, 106272, 5486, 52030, 106528, 103350, 124299, 106556, 16144, 118726, 30512, 112258, 249, 58942, 100481, 50834, 33541, 9174, 18, 8107, 33671, 198, 14711, 112697, 22398, 70563, 47307, 37823, 103906, 106556, 5486, 52030, 106528, 103350, 124299, 106556, 30512, 122678, 30590, 103350, 108710, 16556, 110137, 81219, 17663, 198 ]
[ 18, 8107, 33671, 15682, 5486, 103760, 34171, 9458, 31809, 116581, 9458, 118104, 9458, 92877, 8107, 9458, 113116, 9458, 19000, 110362, 7, 37087, 102351, 123259, 23951, 8, 19732, 35417, 123378, 108581, 21990, 52030, 106528, 48864, 7, 33563, 105298, 104599, 121507, 21990, 8, 16144, 114363, 103722, 108761, 103438, 103350, 108710, 115991, 33541, 1811, 103350, 108710, 30512, 33035, 39926, 5486, 52030, 106528, 16144, 103359, 47523, 30512, 104654, 30046, 103306, 102178, 111665, 15024, 5486, 9554, 105184, 26854, 122225, 48634, 19732, 126574, 119862, 22649, 114181, 30512, 32977, 76947, 109215, 26854, 110238, 103129, 30512, 82420, 55723, 15024, 5486, 103350, 124299, 19732, 107624, 95001, 30512, 103721, 108, 31431, 104196, 78434, 118844, 120577, 106613, 111186, 55031, 5486, 52030, 106528, 103350, 124299, 106556, 19732, 33563, 105298, 103242, 109519, 103005, 55228, 231, 124180, 32943, 113245, 108975, 122502, 19732, 89046, 120988, 109853, 48864, 102802, 5486, 52030, 106528, 114363, 103722, 107430, 103306, 16144, 107734, 111017, 30512, 113954, 78434, 9174, 19, 8107, 33671, 198, 14711, 63091, 120577, 102473, 57933, 108941, 30512, 23187, 62004, 5486, 48864, 102802, 30512, 105156, 40862, 9174, 124305, 101275, 74482, 32977, 48864, 102802, 106307, 105784, 110783, 110095, 30512, 96356, 107294, 105784, 198, 19, 8107, 33671, 15682, 5486, 102667, 104654, 16144, 43167, 27384, 13153, 1811, 103927, 22398, 70563, 47307, 37823, 103906, 30591, 105104, 104028, 52030, 106528, 107430, 30046, 103306, 16144, 103983, 105564, 30512, 119870, 64121, 121406, 124122, 16, 8107, 56965, 38641, 1811, 19, 8107, 33671, 16144, 103350, 108710, 102052, 119208, 108399, 102663, 39880, 123141, 30512, 103984, 102212, 109156, 103468, 13177, 109519, 113598, 122521, 52030, 106528, 103350, 108710, 10646, 5486, 37026, 33503, 121507, 56051, 52030, 106528, 108761, 103438, 16556, 48864, 108710, 30512, 105156, 40862, 15024, 52030, 106528, 48864, 30512, 104862, 102012, 54926, 13177, 110022, 40862, 103350, 108710, 10646, 115991, 33541, 118855, 108048, 120577, 48864, 102802, 30512, 105156, 40862, 54926, 113009, 124305, 101275, 102473, 117824, 16995, 5486, 115963, 20230, 124305, 101275, 123470, 102473, 112415, 16144, 75146, 17920, 236, 48634, 32977, 113598, 61689, 9174, 567, 125055, 106081, 111186, 37087, 102351, 127706, 121254, 107674, 122521, 106444, 106081, 111186, 103359, 105226, 198, 16, 8107, 33671, 55031, 19, 8107, 33671, 103296, 5486, 102208, 48864, 116358, 106718, 106444, 106081, 111186, 103359, 105226, 114373, 111848, 48864, 8107, 110904, 25129, 113245, 112415, 30512, 100927, 102351, 29295, 108526, 117243, 78434, 9174, 52030, 106528, 48864, 16144, 75146, 17920, 236, 123457, 45736, 109315, 113009, 5486, 36668, 33014, 109904, 48864, 108710, 108710, 101557, 96, 16144, 105184, 80195, 55031, 27704, 62004, 5486, 48864, 8107, 103130, 27479, 20230, 106608, 100204, 28713, 48864, 108710, 122521, 33014, 44416, 30512, 64531, 107290, 61689, 9174, 14711, 108825, 35083, 30512, 113801, 108385, 122101, 18, 118821, 120098, 198, 120098, 16, 198, 14711, 107668, 21990, 16144, 36668, 33014, 109904, 112415, 198, 102208, 48864, 116358, 106444, 106081, 111186, 103359, 105226, 114373, 29295, 36668, 33014, 121711, 5486, 105994, 105459, 20230, 109215, 26854, 106444, 106081, 111186, 103359, 105226, 112415, 30512, 98897, 55723, 9458, 103768, 112167, 127145, 9174, 120098, 17, 198, 14711, 107668, 21990, 16144, 31634, 103192, 20230, 106608, 100204, 28713, 98897, 55723, 198, 106718, 111363, 113164, 102663, 84477, 16144, 113702, 71289, 31634, 103192, 20230, 106608, 100204, 38144, 5486, 102208, 48864, 116358, 48864, 108710, 103130, 27479, 20230, 30591, 110027, 28713, 114341, 108710, 38093, 71289, 48864, 108710, 38093, 16144, 98897, 55723, 117824, 76947, 61689, 9174, 120098, 18, 198, 14711, 125055, 106081, 111186, 54872, 101658, 105, 106081, 111186, 16144, 103350, 102923, 198, 102208, 48864, 116358, 48864, 108710, 103130, 27479, 20230, 30591, 110027, 38144, 48864, 108710, 30832, 105888, 30512, 116700, 15024, 5486, 54872, 101658, 105, 106081, 111186, 30512, 98897, 55723, 9458, 103768, 112167, 127145, 1811, 102159, 104680, 16144, 106718, 15682, 5486, 102099, 16144, 53283, 109375, 16144, 23187, 100815, 44971, 115882, 71289, 112294, 28542, 30512, 53283, 31431, 115515, 123470, 48864, 108710, 82420, 55723, 20230, 107734, 121697, 30369, 105908, 125545, 9174, 567, 124939, 104612, 60868, 121057, 198, 106222, 17792, 117084, 55031, 32977, 5486, 37026, 104063, 112535, 110426, 30512, 104087, 58942, 100481, 105784, 114516, 115376, 30512, 27384, 102769, 116446, 61689, 9174, 52030, 106528, 104599, 108176, 112973, 103621, 64178, 126194, 106116, 61826, 16144, 22649, 101067, 16144, 52030, 106528, 104599, 107118, 67645, 103171, 102944, 32149, 9174, 30832, 105888, 30512, 77913, 102321, 33208, 21105, 103, 29295, 33503, 5486, 37026, 22023, 114792, 76947, 102321, 75267, 124259, 111555, 81219, 28713, 105784, 101200, 46034, 112950, 16995, 60868, 121057, 117824, 61689, 9174, 14711, 117826, 75267, 16556, 123726, 30369, 426, 1899, 4403, 97718, 103927, 22398, 70563, 47307, 37823, 103906, 198, 124305, 101275, 21990, 16144, 71174, 198, 827, 118375, 96, 30046, 98369, 20230, 51385, 64209, 30512, 109948, 105784, 52030, 106528, 30512, 198, 101860, 104043, 27384, 102769, 20230, 109768, 105898, 16995, 9174, 86127, 29295, 108044, 58942, 106956, 33, 1899, 4403, 112028, 87217, 16144, 101523, 227, 48634, 15682, 5486, 125175, 106613, 112167, 48864, 34048, 19732, 125702, 102332, 110731, 100909, 1811, 103242, 109519, 16144, 103927, 22398, 70563, 47307, 37823, 103906, 15682, 5486, 125175, 101275, 98220, 16144, 103927, 22398, 70563, 47307, 37823, 103906, 19732, 55999, 33035, 54926, 105494, 29295, 121771, 98369, 57903, 33541, 1811, 121648, 121944, 99849, 30512, 32018, 62004, 100934, 104865, 117119, 30512, 108044, 58942, 106956, 104865, 104309, 5486, 120007, 29295, 64209, 30590, 57980, 16995, 19732, 112391, 30369, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 108167, 24273, 32977, 48864, 103854, 28713, 105879, 5486, 108895, 56051, 106613, 111186, 15682, 59614, 101860, 102321, 75267, 16556, 76706, 50834, 38144, 47884, 104533, 91763, 61689, 9174, 827, 118375, 96, 30046, 98369, 20230, 108385, 31431, 114001, 30297, 16325, 16556, 198, 103927, 22398, 70563, 47307, 37823, 103906, 29295, 76706, 50834, 100934, 9174, 102667, 30512, 106767, 17663, 112772, 5486, 52030, 106528, 104599, 30512, 30832, 64467, 17663, 100909, 109853, 108149, 33503, 103846, 38144, 37026, 99397, 37026, 103899, 39926, 102717, 102800, 106046, 61689, 109807, 101067, 16995, 29295, 104195, 118145, 115924, 103359, 20230, 30832, 105888, 15682, 104067, 13153, 108608, 116497, 1811, 107141, 101275, 5486, 103350, 108710, 5486, 106444, 106081, 111186, 103359, 105226, 104309, 5486, 52030, 106528, 104599, 108176, 103846, 102052, 109134, 125231, 105908, 121771, 98369, 57903, 33541, 109807, 16325, 16556, 5486, 33, 1899, 4403, 16144, 105408, 24273, 5486, 80539, 48864, 102802, 16144, 117501, 15682, 5486, 50834, 104043, 64121, 26854, 115867, 113871, 30512, 48634, 104195, 47884, 74482, 110408, 15024, 39926, 124089, 116497, 38641, 1811, 128001, 128000, 2366, 17, 8107, 17, 9953, 5486, 38425, 45, 20906, 1846, 121409, 20251, 119930, 107167, 57326, 20251, 103202, 122692, 85707, 107436, 16144, 107461, 20251, 30512, 103359, 47523, 20230, 56051, 122678, 107918, 106081, 111186, 29295, 5486, 110666, 101544, 109568, 122412, 16556, 119862, 22649, 48864, 9554, 117859, 112984, 30512, 126954, 56051, 9174, 51330, 107461, 20251, 30512, 103359, 47523, 114267, 38425, 45, 122678, 107918, 106081, 111186, 15682, 46091, 104486, 122412, 16556, 23039, 123671, 5486, 59795, 16556, 85707, 107436, 16144, 126465, 103195, 1811, 59795, 113245, 78683, 47260, 78459, 16073, 39880, 101198, 45923, 102494, 101335, 125864, 29220, 44971, 90962, 78459, 45923, 10110, 38425, 45, 120732, 102473, 29295, 5486, 16906, 111, 28741, 26854, 122678, 107918, 106081, 111186, 55031, 105184, 107608, 28713, 30369, 102831, 26955, 254, 30512, 106767, 17663, 38574, 106090, 109156, 100472, 106592, 20379, 103792, 9174, 37271, 18904, 16144, 103350, 111186, 15682, 5486, 113614, 26854, 107461, 20251, 102416, 38425, 45, 30512, 80172, 58318, 56051, 74482, 5486, 38425, 45, 11500, 1846, 10, 22023, 18476, 106613, 47095, 30512, 75910, 39926, 5486, 107461, 20251, 16144, 20251, 119930, 107167, 57326, 20251, 44971, 115882, 20230, 82317, 109416, 17663, 117375, 30512, 102473, 54926, 106592, 113173, 117408, 1811, 92877, 33208, 16144, 66378, 17599, 112, 30512, 85707, 107436, 119732, 90962, 68759, 38248, 104, 11972, 124905, 16995, 23187, 33857, 33208, 56051, 120266, 37689, 104577, 107407, 9174, 37271, 18904, 16144, 103350, 111186, 15682, 41920, 38574, 106090, 20230, 17620, 107441, 23039, 126832, 1811, 103983, 38574, 106090, 77181, 5486, 8107, 106036, 95, 16144, 108901, 109020, 114050, 20230, 17620, 76622, 110371, 107804, 17039, 109904, 119732, 90962, 68759, 38248, 104, 115247, 75146, 107253, 44971, 115882, 108867, 23187, 19732, 106596, 30512, 103350, 102923, 15024, 5486, 107461, 20251, 30512, 103359, 47523, 114267, 119732, 90962, 68759, 38248, 104, 11972, 113115, 54926, 75146, 17920, 236, 9554, 113954, 30512, 105184, 80195, 54926, 106592, 113173, 117408, 1811, 106135, 38574, 106090, 77181, 5486, 38425, 45, 29295, 51330, 119732, 90962, 68759, 38248, 104, 11972, 20230, 82317, 109416, 17663, 117375, 5486, 127253, 92877, 33208, 97518, 89046, 115514, 108044, 45829, 44416, 109088, 5486, 104398, 112506, 62249, 44416, 109088, 5486, 116436, 103429, 97518, 89046, 115514, 108044, 45829, 123160, 20251, 119930, 107167, 57326, 20251, 44971, 115882, 20230, 82317, 109416, 17663, 117375, 30512, 106596, 54926, 113009, 5486, 38425, 45, 44309, 11883, 25580, 19732, 123470, 93488, 99959, 91062, 41920, 30358, 16555, 110, 111800, 125261, 106081, 111186, 30512, 103350, 102923, 54926, 9174, 9729, 4012, 46, 15682, 115515, 18904, 16144, 122678, 107918, 106081, 111186, 30512, 108975, 83812, 249, 15024, 5486, 38425, 45, 105107, 25446, 19732, 116254, 27479, 1484, 13, 24, 113127, 16144, 37026, 61337, 38425, 45, 53229, 42506, 30512, 104908, 54926, 1811, 13870, 232, 61337, 15682, 124052, 110792, 108975, 48634, 16556, 38425, 45, 75146, 17920, 236, 102473, 30512, 84851, 103130, 15024, 5486, 33420, 106382, 112919, 108901, 109020, 78683, 106240, 113115, 15024, 5486, 105184, 107608, 114267, 108396, 9554, 102831, 26955, 254, 20230, 75146, 109669, 102334, 105509, 26854, 38425, 45, 105107, 25446, 30512, 5486, 102159, 34171, 109904, 44309, 11883, 57326, 93488, 30512, 104908, 54926, 100909, 113468, 5486, 32335, 61826, 79982, 16144, 108396, 112113, 16144, 13153, 28873, 30512, 33420, 106382, 30046, 20230, 109818, 24186, 54926, 9174, 107461, 20251, 111363, 17039, 28713, 26854, 76706, 34171, 13153, 17620, 16144, 106608, 11883, 15682, 5486, 105509, 34171, 19732, 19361, 126120, 34171, 30512, 110322, 31958, 54926, 113009, 5486, 101544, 23538, 20230, 78183, 28713, 30369, 108396, 9554, 102473, 29295, 109215, 117282, 9174, 39880, 109482, 76739, 25197, 76428, 94550, 13153, 17620, 103306, 60358, 8107, 105047, 95399, 20230, 26130, 30832, 84389, 126909, 119012, 38425, 45, 15682, 5486, 117903, 16144, 107960, 108267, 5486, 125144, 50338, 5486, 103435, 116, 104611, 30512, 124237, 124304, 47884, 54926, 113009, 5486, 105755, 16906, 111, 35083, 26854, 41920, 30358, 16555, 110, 33014, 122678, 107918, 106081, 111186, 29295, 109215, 104856, 103836, 9174, 9729, 4012, 46, 15682, 115515, 18904, 124911, 30512, 103359, 47523, 114267, 122678, 107918, 106081, 111186, 16144, 124011, 16073, 118718, 103306, 115847, 30512, 120273, 101513, 20230, 1569, 106, 126835, 1569, 106, 16144, 108396, 9554, 102473, 16144, 102404, 77413, 20230, 108385, 58318, 54926, 32938, 25359, 103195, 1811, 128001, 128000, 2, 220, 104405, 39926, 17701, 104157, 30046, 29295, 43167, 17129, 110104, 30, 90962, 109793, 11972, 29295, 103350, 124299, 56051, 16995, 35894, 102452, 103359, 105226, 104926, 45144, 118, 23530, 16556, 16937, 91875, 106518, 105525, 107691, 5486, 111817, 104272, 40452, 105110, 64810, 109482, 72369, 102540, 1691, 76739, 25005, 107, 100560, 249, 103202, 107898, 49988, 72342, 72315, 9174, 35894, 102452, 103359, 105226, 198, 103826, 104680, 26854, 114667, 16556, 83812, 225, 110726, 111817, 104272, 16144, 106613, 112167, 30512, 27704, 109315, 116537, 115079, 107290, 50834, 100934, 16144, 119627, 111476, 16325, 102052, 26854, 107188, 32149, 17701, 104157, 30046, 29295, 43167, 17129, 121140, 20230, 35894, 102452, 20230, 101128, 102, 126559, 17792, 32977, 61689, 9174, 83812, 225, 110726, 111817, 104272, 16144, 35894, 102452, 20230, 101128, 102, 126559, 90962, 109793, 11972, 107898, 125683, 62004, 56051, 16995, 35894, 102452, 103359, 105226, 30512, 126362, 78434, 9174, 35894, 102452, 103359, 105226, 103306, 126843, 91763, 108064, 47884, 112973, 46729, 83812, 225, 16144, 112603, 17297, 102639, 119627, 106116, 25580, 107898, 125683, 62004, 110731, 112973, 121536, 35330, 71289, 107591, 35330, 16144, 112603, 17297, 102639, 38641, 1811, 17701, 104157, 30046, 125030, 76947, 5486, 83812, 225, 110726, 111817, 104272, 109156, 104157, 54926, 104983, 20230, 32335, 32977, 102750, 48552, 117282, 112973, 85707, 23538, 106382, 11883, 116787, 5486, 121536, 35330, 71289, 107591, 35330, 29295, 32149, 126469, 47884, 104533, 46729, 83812, 225, 126036, 126574, 106382, 11883, 30512, 46456, 124237, 30297, 111555, 30832, 117084, 114732, 105879, 120953, 120837, 102040, 65575, 33710, 29295, 126574, 19732, 112391, 33541, 109807, 103846, 5486, 46729, 83812, 225, 30512, 112603, 17297, 102639, 54926, 126036, 85707, 23538, 106382, 11883, 103306, 109972, 106529, 29295, 119448, 16995, 121536, 35330, 71289, 107591, 35330, 30512, 17297, 102639, 28713, 24273, 29295, 5486, 17701, 104157, 54926, 124122, 102040, 65575, 33710, 71289, 121536, 104157, 29295, 17297, 29295, 30369, 103846, 5486, 17701, 104157, 110526, 15024, 126172, 47884, 109020, 16144, 38641, 9174, 83812, 225, 110726, 111817, 104272, 30512, 106613, 112167, 109768, 47884, 17905, 16556, 5486, 16937, 91875, 106518, 16144, 109205, 69978, 71289, 40452, 16144, 114363, 103722, 46729, 103195, 16937, 91875, 106518, 108695, 110792, 97518, 116547, 15682, 108008, 20230, 107693, 26854, 115552, 114792, 76947, 61689, 1811, 119627, 5486, 116414, 72661, 112361, 104466, 16937, 91875, 106518, 30512, 40452, 39926, 124089, 113334, 77181, 124897, 15024, 5486, 16937, 91875, 106518, 108695, 113468, 17701, 104157, 96455, 16144, 45736, 30813, 71289, 35894, 102452, 117232, 16144, 101544, 30813, 32977, 108901, 26854, 103836, 16144, 38641, 109807, 103846, 5486, 112599, 120273, 103664, 103792, 16937, 91875, 106518, 108695, 16556, 35894, 102452, 117232, 29295, 101544, 16995, 19732, 112391, 110071, 107803, 102052, 5486, 35894, 102452, 117232, 29295, 106649, 102518, 31431, 103856, 23538, 17701, 104157, 30046, 122382, 30512, 50928, 37689, 103306, 16995, 104533, 107404, 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 ]
[ 18, 8107, 33671, 15682, 5486, 103760, 34171, 9458, 31809, 116581, 9458, 118104, 9458, 92877, 8107, 9458, 113116, 9458, 19000, 110362, 7, 37087, 102351, 123259, 23951, 8, 19732, 35417, 123378, 108581, 21990, 52030, 106528, 48864, 7, 33563, 105298, 104599, 121507, 21990, 8, 16144, 114363, 103722, 108761, 103438, 103350, 108710, 115991, 33541, 1811, 103350, 108710, 30512, 33035, 39926, 5486, 52030, 106528, 16144, 103359, 47523, 30512, 104654, 30046, 103306, 102178, 111665, 15024, 5486, 9554, 105184, 26854, 122225, 48634, 19732, 126574, 119862, 22649, 114181, 30512, 32977, 76947, 109215, 26854, 110238, 103129, 30512, 82420, 55723, 15024, 5486, 103350, 124299, 19732, 107624, 95001, 30512, 103721, 108, 31431, 104196, 78434, 118844, 120577, 106613, 111186, 55031, 5486, 52030, 106528, 103350, 124299, 106556, 19732, 33563, 105298, 103242, 109519, 103005, 55228, 231, 124180, 32943, 113245, 108975, 122502, 19732, 89046, 120988, 109853, 48864, 102802, 5486, 52030, 106528, 114363, 103722, 107430, 103306, 16144, 107734, 111017, 30512, 113954, 78434, 9174, 19, 8107, 33671, 198, 14711, 63091, 120577, 102473, 57933, 108941, 30512, 23187, 62004, 5486, 48864, 102802, 30512, 105156, 40862, 9174, 124305, 101275, 74482, 32977, 48864, 102802, 106307, 105784, 110783, 110095, 30512, 96356, 107294, 105784, 198, 19, 8107, 33671, 15682, 5486, 102667, 104654, 16144, 43167, 27384, 13153, 1811, 103927, 22398, 70563, 47307, 37823, 103906, 30591, 105104, 104028, 52030, 106528, 107430, 30046, 103306, 16144, 103983, 105564, 30512, 119870, 64121, 121406, 124122, 16, 8107, 56965, 38641, 1811, 19, 8107, 33671, 16144, 103350, 108710, 102052, 119208, 108399, 102663, 39880, 123141, 30512, 103984, 102212, 109156, 103468, 13177, 109519, 113598, 122521, 52030, 106528, 103350, 108710, 10646, 5486, 37026, 33503, 121507, 56051, 52030, 106528, 108761, 103438, 16556, 48864, 108710, 30512, 105156, 40862, 15024, 52030, 106528, 48864, 30512, 104862, 102012, 54926, 13177, 110022, 40862, 103350, 108710, 10646, 115991, 33541, 118855, 108048, 120577, 48864, 102802, 30512, 105156, 40862, 54926, 113009, 124305, 101275, 102473, 117824, 16995, 5486, 115963, 20230, 124305, 101275, 123470, 102473, 112415, 16144, 75146, 17920, 236, 48634, 32977, 113598, 61689, 9174, 567, 125055, 106081, 111186, 37087, 102351, 127706, 121254, 107674, 122521, 106444, 106081, 111186, 103359, 105226, 198, 16, 8107, 33671, 55031, 19, 8107, 33671, 103296, 5486, 102208, 48864, 116358, 106718, 106444, 106081, 111186, 103359, 105226, 114373, 111848, 48864, 8107, 110904, 25129, 113245, 112415, 30512, 100927, 102351, 29295, 108526, 117243, 78434, 9174, 52030, 106528, 48864, 16144, 75146, 17920, 236, 123457, 45736, 109315, 113009, 5486, 36668, 33014, 109904, 48864, 108710, 108710, 101557, 96, 16144, 105184, 80195, 55031, 27704, 62004, 5486, 48864, 8107, 103130, 27479, 20230, 106608, 100204, 28713, 48864, 108710, 122521, 33014, 44416, 30512, 64531, 107290, 61689, 9174, 14711, 108825, 35083, 30512, 113801, 108385, 122101, 18, 118821, 120098, 198, 120098, 16, 198, 14711, 107668, 21990, 16144, 36668, 33014, 109904, 112415, 198, 102208, 48864, 116358, 106444, 106081, 111186, 103359, 105226, 114373, 29295, 36668, 33014, 121711, 5486, 105994, 105459, 20230, 109215, 26854, 106444, 106081, 111186, 103359, 105226, 112415, 30512, 98897, 55723, 9458, 103768, 112167, 127145, 9174, 120098, 17, 198, 14711, 107668, 21990, 16144, 31634, 103192, 20230, 106608, 100204, 28713, 98897, 55723, 198, 106718, 111363, 113164, 102663, 84477, 16144, 113702, 71289, 31634, 103192, 20230, 106608, 100204, 38144, 5486, 102208, 48864, 116358, 48864, 108710, 103130, 27479, 20230, 30591, 110027, 28713, 114341, 108710, 38093, 71289, 48864, 108710, 38093, 16144, 98897, 55723, 117824, 76947, 61689, 9174, 120098, 18, 198, 14711, 125055, 106081, 111186, 54872, 101658, 105, 106081, 111186, 16144, 103350, 102923, 198, 102208, 48864, 116358, 48864, 108710, 103130, 27479, 20230, 30591, 110027, 38144, 48864, 108710, 30832, 105888, 30512, 116700, 15024, 5486, 54872, 101658, 105, 106081, 111186, 30512, 98897, 55723, 9458, 103768, 112167, 127145, 1811, 102159, 104680, 16144, 106718, 15682, 5486, 102099, 16144, 53283, 109375, 16144, 23187, 100815, 44971, 115882, 71289, 112294, 28542, 30512, 53283, 31431, 115515, 123470, 48864, 108710, 82420, 55723, 20230, 107734, 121697, 30369, 105908, 125545, 9174, 567, 124939, 104612, 60868, 121057, 198, 106222, 17792, 117084, 55031, 32977, 5486, 37026, 104063, 112535, 110426, 30512, 104087, 58942, 100481, 105784, 114516, 115376, 30512, 27384, 102769, 116446, 61689, 9174, 52030, 106528, 104599, 108176, 112973, 103621, 64178, 126194, 106116, 61826, 16144, 22649, 101067, 16144, 52030, 106528, 104599, 107118, 67645, 103171, 102944, 32149, 9174, 30832, 105888, 30512, 77913, 102321, 33208, 21105, 103, 29295, 33503, 5486, 37026, 22023, 114792, 76947, 102321, 75267, 124259, 111555, 81219, 28713, 105784, 101200, 46034, 112950, 16995, 60868, 121057, 117824, 61689, 9174, 14711, 117826, 75267, 16556, 123726, 30369, 426, 1899, 4403, 97718, 103927, 22398, 70563, 47307, 37823, 103906, 198, 124305, 101275, 21990, 16144, 71174, 198, 827, 118375, 96, 30046, 98369, 20230, 51385, 64209, 30512, 109948, 105784, 52030, 106528, 30512, 198, 101860, 104043, 27384, 102769, 20230, 109768, 105898, 16995, 9174, 86127, 29295, 108044, 58942, 106956, 33, 1899, 4403, 112028, 87217, 16144, 101523, 227, 48634, 15682, 5486, 125175, 106613, 112167, 48864, 34048, 19732, 125702, 102332, 110731, 100909, 1811, 103242, 109519, 16144, 103927, 22398, 70563, 47307, 37823, 103906, 15682, 5486, 125175, 101275, 98220, 16144, 103927, 22398, 70563, 47307, 37823, 103906, 19732, 55999, 33035, 54926, 105494, 29295, 121771, 98369, 57903, 33541, 1811, 121648, 121944, 99849, 30512, 32018, 62004, 100934, 104865, 117119, 30512, 108044, 58942, 106956, 104865, 104309, 5486, 120007, 29295, 64209, 30590, 57980, 16995, 19732, 112391, 30369, 47260, 119263, 78683, 102663, 38248, 115, 78205, 113883, 108167, 24273, 32977, 48864, 103854, 28713, 105879, 5486, 108895, 56051, 106613, 111186, 15682, 59614, 101860, 102321, 75267, 16556, 76706, 50834, 38144, 47884, 104533, 91763, 61689, 9174, 827, 118375, 96, 30046, 98369, 20230, 108385, 31431, 114001, 30297, 16325, 16556, 198, 103927, 22398, 70563, 47307, 37823, 103906, 29295, 76706, 50834, 100934, 9174, 102667, 30512, 106767, 17663, 112772, 5486, 52030, 106528, 104599, 30512, 30832, 64467, 17663, 100909, 109853, 108149, 33503, 103846, 38144, 37026, 99397, 37026, 103899, 39926, 102717, 102800, 106046, 61689, 109807, 101067, 16995, 29295, 104195, 118145, 115924, 103359, 20230, 30832, 105888, 15682, 104067, 13153, 108608, 116497, 1811, 107141, 101275, 5486, 103350, 108710, 5486, 106444, 106081, 111186, 103359, 105226, 104309, 5486, 52030, 106528, 104599, 108176, 103846, 102052, 109134, 125231, 105908, 121771, 98369, 57903, 33541, 109807, 16325, 16556, 5486, 33, 1899, 4403, 16144, 105408, 24273, 5486, 80539, 48864, 102802, 16144, 117501, 15682, 5486, 50834, 104043, 64121, 26854, 115867, 113871, 30512, 48634, 104195, 47884, 74482, 110408, 15024, 39926, 124089, 116497, 38641, 1811, 128001, 128000, 2366, 17, 8107, 17, 9953, 5486, 38425, 45, 20906, 1846, 121409, 20251, 119930, 107167, 57326, 20251, 103202, 122692, 85707, 107436, 16144, 107461, 20251, 30512, 103359, 47523, 20230, 56051, 122678, 107918, 106081, 111186, 29295, 5486, 110666, 101544, 109568, 122412, 16556, 119862, 22649, 48864, 9554, 117859, 112984, 30512, 126954, 56051, 9174, 51330, 107461, 20251, 30512, 103359, 47523, 114267, 38425, 45, 122678, 107918, 106081, 111186, 15682, 46091, 104486, 122412, 16556, 23039, 123671, 5486, 59795, 16556, 85707, 107436, 16144, 126465, 103195, 1811, 59795, 113245, 78683, 47260, 78459, 16073, 39880, 101198, 45923, 102494, 101335, 125864, 29220, 44971, 90962, 78459, 45923, 10110, 38425, 45, 120732, 102473, 29295, 5486, 16906, 111, 28741, 26854, 122678, 107918, 106081, 111186, 55031, 105184, 107608, 28713, 30369, 102831, 26955, 254, 30512, 106767, 17663, 38574, 106090, 109156, 100472, 106592, 20379, 103792, 9174, 37271, 18904, 16144, 103350, 111186, 15682, 5486, 113614, 26854, 107461, 20251, 102416, 38425, 45, 30512, 80172, 58318, 56051, 74482, 5486, 38425, 45, 11500, 1846, 10, 22023, 18476, 106613, 47095, 30512, 75910, 39926, 5486, 107461, 20251, 16144, 20251, 119930, 107167, 57326, 20251, 44971, 115882, 20230, 82317, 109416, 17663, 117375, 30512, 102473, 54926, 106592, 113173, 117408, 1811, 92877, 33208, 16144, 66378, 17599, 112, 30512, 85707, 107436, 119732, 90962, 68759, 38248, 104, 11972, 124905, 16995, 23187, 33857, 33208, 56051, 120266, 37689, 104577, 107407, 9174, 37271, 18904, 16144, 103350, 111186, 15682, 41920, 38574, 106090, 20230, 17620, 107441, 23039, 126832, 1811, 103983, 38574, 106090, 77181, 5486, 8107, 106036, 95, 16144, 108901, 109020, 114050, 20230, 17620, 76622, 110371, 107804, 17039, 109904, 119732, 90962, 68759, 38248, 104, 115247, 75146, 107253, 44971, 115882, 108867, 23187, 19732, 106596, 30512, 103350, 102923, 15024, 5486, 107461, 20251, 30512, 103359, 47523, 114267, 119732, 90962, 68759, 38248, 104, 11972, 113115, 54926, 75146, 17920, 236, 9554, 113954, 30512, 105184, 80195, 54926, 106592, 113173, 117408, 1811, 106135, 38574, 106090, 77181, 5486, 38425, 45, 29295, 51330, 119732, 90962, 68759, 38248, 104, 11972, 20230, 82317, 109416, 17663, 117375, 5486, 127253, 92877, 33208, 97518, 89046, 115514, 108044, 45829, 44416, 109088, 5486, 104398, 112506, 62249, 44416, 109088, 5486, 116436, 103429, 97518, 89046, 115514, 108044, 45829, 123160, 20251, 119930, 107167, 57326, 20251, 44971, 115882, 20230, 82317, 109416, 17663, 117375, 30512, 106596, 54926, 113009, 5486, 38425, 45, 44309, 11883, 25580, 19732, 123470, 93488, 99959, 91062, 41920, 30358, 16555, 110, 111800, 125261, 106081, 111186, 30512, 103350, 102923, 54926, 9174, 9729, 4012, 46, 15682, 115515, 18904, 16144, 122678, 107918, 106081, 111186, 30512, 108975, 83812, 249, 15024, 5486, 38425, 45, 105107, 25446, 19732, 116254, 27479, 1484, 13, 24, 113127, 16144, 37026, 61337, 38425, 45, 53229, 42506, 30512, 104908, 54926, 1811, 13870, 232, 61337, 15682, 124052, 110792, 108975, 48634, 16556, 38425, 45, 75146, 17920, 236, 102473, 30512, 84851, 103130, 15024, 5486, 33420, 106382, 112919, 108901, 109020, 78683, 106240, 113115, 15024, 5486, 105184, 107608, 114267, 108396, 9554, 102831, 26955, 254, 20230, 75146, 109669, 102334, 105509, 26854, 38425, 45, 105107, 25446, 30512, 5486, 102159, 34171, 109904, 44309, 11883, 57326, 93488, 30512, 104908, 54926, 100909, 113468, 5486, 32335, 61826, 79982, 16144, 108396, 112113, 16144, 13153, 28873, 30512, 33420, 106382, 30046, 20230, 109818, 24186, 54926, 9174, 107461, 20251, 111363, 17039, 28713, 26854, 76706, 34171, 13153, 17620, 16144, 106608, 11883, 15682, 5486, 105509, 34171, 19732, 19361, 126120, 34171, 30512, 110322, 31958, 54926, 113009, 5486, 101544, 23538, 20230, 78183, 28713, 30369, 108396, 9554, 102473, 29295, 109215, 117282, 9174, 39880, 109482, 76739, 25197, 76428, 94550, 13153, 17620, 103306, 60358, 8107, 105047, 95399, 20230, 26130, 30832, 84389, 126909, 119012, 38425, 45, 15682, 5486, 117903, 16144, 107960, 108267, 5486, 125144, 50338, 5486, 103435, 116, 104611, 30512, 124237, 124304, 47884, 54926, 113009, 5486, 105755, 16906, 111, 35083, 26854, 41920, 30358, 16555, 110, 33014, 122678, 107918, 106081, 111186, 29295, 109215, 104856, 103836, 9174, 9729, 4012, 46, 15682, 115515, 18904, 124911, 30512, 103359, 47523, 114267, 122678, 107918, 106081, 111186, 16144, 124011, 16073, 118718, 103306, 115847, 30512, 120273, 101513, 20230, 1569, 106, 126835, 1569, 106, 16144, 108396, 9554, 102473, 16144, 102404, 77413, 20230, 108385, 58318, 54926, 32938, 25359, 103195, 1811, 128001, 128000, 2, 220, 104405, 39926, 17701, 104157, 30046, 29295, 43167, 17129, 110104, 30, 90962, 109793, 11972, 29295, 103350, 124299, 56051, 16995, 35894, 102452, 103359, 105226, 104926, 45144, 118, 23530, 16556, 16937, 91875, 106518, 105525, 107691, 5486, 111817, 104272, 40452, 105110, 64810, 109482, 72369, 102540, 1691, 76739, 25005, 107, 100560, 249, 103202, 107898, 49988, 72342, 72315, 9174, 35894, 102452, 103359, 105226, 198, 103826, 104680, 26854, 114667, 16556, 83812, 225, 110726, 111817, 104272, 16144, 106613, 112167, 30512, 27704, 109315, 116537, 115079, 107290, 50834, 100934, 16144, 119627, 111476, 16325, 102052, 26854, 107188, 32149, 17701, 104157, 30046, 29295, 43167, 17129, 121140, 20230, 35894, 102452, 20230, 101128, 102, 126559, 17792, 32977, 61689, 9174, 83812, 225, 110726, 111817, 104272, 16144, 35894, 102452, 20230, 101128, 102, 126559, 90962, 109793, 11972, 107898, 125683, 62004, 56051, 16995, 35894, 102452, 103359, 105226, 30512, 126362, 78434, 9174, 35894, 102452, 103359, 105226, 103306, 126843, 91763, 108064, 47884, 112973, 46729, 83812, 225, 16144, 112603, 17297, 102639, 119627, 106116, 25580, 107898, 125683, 62004, 110731, 112973, 121536, 35330, 71289, 107591, 35330, 16144, 112603, 17297, 102639, 38641, 1811, 17701, 104157, 30046, 125030, 76947, 5486, 83812, 225, 110726, 111817, 104272, 109156, 104157, 54926, 104983, 20230, 32335, 32977, 102750, 48552, 117282, 112973, 85707, 23538, 106382, 11883, 116787, 5486, 121536, 35330, 71289, 107591, 35330, 29295, 32149, 126469, 47884, 104533, 46729, 83812, 225, 126036, 126574, 106382, 11883, 30512, 46456, 124237, 30297, 111555, 30832, 117084, 114732, 105879, 120953, 120837, 102040, 65575, 33710, 29295, 126574, 19732, 112391, 33541, 109807, 103846, 5486, 46729, 83812, 225, 30512, 112603, 17297, 102639, 54926, 126036, 85707, 23538, 106382, 11883, 103306, 109972, 106529, 29295, 119448, 16995, 121536, 35330, 71289, 107591, 35330, 30512, 17297, 102639, 28713, 24273, 29295, 5486, 17701, 104157, 54926, 124122, 102040, 65575, 33710, 71289, 121536, 104157, 29295, 17297, 29295, 30369, 103846, 5486, 17701, 104157, 110526, 15024, 126172, 47884, 109020, 16144, 38641, 9174, 83812, 225, 110726, 111817, 104272, 30512, 106613, 112167, 109768, 47884, 17905, 16556, 5486, 16937, 91875, 106518, 16144, 109205, 69978, 71289, 40452, 16144, 114363, 103722, 46729, 103195, 16937, 91875, 106518, 108695, 110792, 97518, 116547, 15682, 108008, 20230, 107693, 26854, 115552, 114792, 76947, 61689, 1811, 119627, 5486, 116414, 72661, 112361, 104466, 16937, 91875, 106518, 30512, 40452, 39926, 124089, 113334, 77181, 124897, 15024, 5486, 16937, 91875, 106518, 108695, 113468, 17701, 104157, 96455, 16144, 45736, 30813, 71289, 35894, 102452, 117232, 16144, 101544, 30813, 32977, 108901, 26854, 103836, 16144, 38641, 109807, 103846, 5486, 112599, 120273, 103664, 103792, 16937, 91875, 106518, 108695, 16556, 35894, 102452, 117232, 29295, 101544, 16995, 19732, 112391, 110071, 107803, 102052, 5486, 35894, 102452, 117232, 29295, 106649, 102518, 31431, 103856, 23538, 17701, 104157, 30046, 122382, 30512, 50928, 37689, 103306, 16995, 104533, 107404, 20230 ]
[ 125174, 109913, 105262, 123017, 5486, 115303, 118821, 35894, 102452, 103359, 105226, 103306, 107693, 118816, 78244, 105262, 123253, 9174, 39135, 104680, 26854, 35894, 102452, 103359, 105226, 30512, 120837, 8239, 114503, 29295, 104435, 107803, 5486, 35894, 102452, 103359, 105226, 20230, 109606, 107407, 16144, 126194, 111817, 104272, 16144, 80195, 30590, 20230, 109606, 107407, 125396, 32977, 64467, 112419, 116216, 61689, 1811, 80195, 30590, 15682, 17701, 104157, 61826, 30512, 102647, 104369, 104983, 102052, 107693, 26854, 111831, 16144, 115303, 59739, 116787, 108048, 116749, 16144, 28542, 16556, 60632, 102924, 34171, 29295, 30591, 114598, 80195, 30590, 29295, 109161, 16995, 19732, 104405, 120837, 102647, 81219, 33121, 20230, 47884, 16995, 101427, 122, 70141, 107407, 16144, 38641, 109807, 103846, 5486, 35894, 102452, 103359, 105226, 30512, 120837, 17701, 104157, 30046, 125001, 100604, 102677, 116537, 77693, 71689, 103359, 105226, 30512, 114341, 100204, 111243, 8239, 114503, 29295, 102404, 127327, 107001, 125396, 15682, 116213, 16995, 105879, 116898, 42891, 27929, 111817, 104272, 16144, 80195, 30590, 58426, 102944, 30512, 88356, 111800, 118219, 39926, 64121, 30369, 109215, 115991, 33541, 9174, 51330, 104466, 35894, 102452, 103359, 105226, 102052, 39135, 104680, 26854, 102944, 115991, 33541, 29295, 5486, 8239, 114503, 30512, 102404, 127327, 54926, 103846, 102052, 17701, 104157, 30046, 29295, 17701, 110104, 113385, 71289, 109606, 104088, 110993, 62004, 123207, 16995, 76622, 107515, 109807, 17905, 16556, 5486, 113385, 71289, 109606, 20230, 8239, 114503, 109904, 35894, 102452, 103359, 105226, 30512, 114341, 100204, 102204, 104984, 17701, 104157, 30046, 30512, 43167, 62004, 110071, 101200, 115717, 33541, 15024, 5486, 112624, 102452, 121894, 30512, 109205, 69978, 54926, 124122, 103359, 105226, 105352, 106608, 11883, 125545, 1811, 59739, 109709, 67645, 103171, 20230, 19361, 126120, 26854, 35894, 102452, 103359, 105226, 32977, 5486, 113385, 71289, 109606, 20230, 109431, 103792, 102944, 16556, 123207, 8239, 114503, 15682, 102404, 127327, 84389, 100604, 105879, 5486, 103359, 105226, 30512, 114341, 100204, 30369, 25580, 102052, 126843, 35894, 102452, 16144, 113385, 71289, 109606, 30512, 111800, 110322, 54926, 112973, 107693, 38641, 9174, 83812, 225, 110726, 111817, 104272, 125030, 76947, 35894, 102452, 15682, 105260, 51609, 109904, 109606, 116787, 5486, 17701, 104157, 30046, 29295, 43167, 17129, 110104, 113385, 30512, 102178, 111665, 56051, 17905, 16556, 77693, 108422, 33121, 16144, 35894, 102452, 103359, 105226, 117824, 30297, 109215, 115991, 33541, 1811, 119627, 85701, 120577, 103359, 105226, 15682, 5486, 35894, 102452, 125334, 38144, 55031, 23039, 100472, 107803, 102052, 8239, 114503, 125334, 30369, 103296, 20230, 82973, 29295, 32149, 117295, 103846, 5486, 106613, 112167, 29295, 118013, 23039, 32149, 123733, 76947, 114732, 112997, 29220, 32977, 113727, 102204, 33541, 1811, 56051, 29295, 76947, 5486, 90962, 109793, 11972, 119012, 107803, 102052, 5486, 30926, 112772, 35894, 102452, 108176, 125396, 71289, 58426, 113385, 124001, 109606, 109853, 103911, 108867, 30512, 121697, 28713, 17905, 16556, 5486, 35894, 102452, 103359, 105226, 30512, 103350, 102923, 54926, 112973, 32335, 32977, 8239, 114503, 9554, 118816, 113727, 125398, 16144, 38641, 1811, 128001, 128000, 30832, 33671, 198, 567, 220, 58426, 77219, 29295, 98499, 17129, 104028, 32149, 104405, 32149, 15682, 1484, 80805, 38248, 119, 52414, 863, 47307, 78983, 33710, 863, 16556, 104662, 115464, 9174, 58426, 77219, 29295, 98499, 17129, 104028, 32149, 104405, 32149, 15682, 1484, 80805, 38248, 119, 52414, 863, 47307, 78983, 33710, 863, 16556, 104662, 115464, 1811, 102677, 104468, 103268, 17620, 15682, 65299, 102741, 38641, 59459, 49838, 23954, 99849, 104604, 32149, 102677, 19732, 106116, 77219, 30512, 102181, 119188, 112973, 863, 112832, 863, 26854, 104865, 109900, 121142, 98499, 115226, 119150, 105908, 9039, 43240, 47884, 101182, 55031, 38641, 9174, 38641, 55031, 37271, 18904, 15682, 863, 112832, 29295, 102181, 119188, 104865, 17620, 124403, 863, 77219, 102677, 116700, 16556, 87177, 30512, 103130, 62004, 100481, 50834, 33541, 9174, 14711, 108453, 77750, 30512, 102181, 47884, 114667, 15682, 863, 116690, 34171, 863, 16144, 106391, 113638, 198, 103672, 29220, 29295, 52884, 77750, 30512, 102181, 50834, 59739, 109669, 105784, 114667, 15682, 5486, 50, 2507, 16556, 59739, 105722, 103836, 53283, 17792, 71289, 98915, 17792, 5486, 101182, 16995, 15682, 104612, 33710, 16556, 113841, 16144, 101182, 113850, 56965, 71289, 33334, 65854, 98369, 110792, 863, 116690, 34171, 863, 30512, 102987, 109315, 103846, 38641, 9174, 47260, 47260, 29295, 61826, 104662, 118816, 78698, 107290, 61689, 1811, 50834, 104043, 118116, 107707, 107734, 20230, 80195, 59739, 108995, 26854, 5486, 50834, 104043, 118116, 114754, 104940, 104127, 124089, 108995, 26854, 1811, 109860, 5486, 103892, 20230, 114284, 111179, 32149, 102189, 122485, 30512, 101067, 23187, 39926, 58426, 17792, 121254, 107441, 77219, 30512, 102181, 119188, 9174, 2118, 105791, 16144, 91774, 105262, 17792, 20230, 109948, 105784, 100909, 89874, 117382, 15682, 85701, 121142, 114392, 36785, 106046, 107462, 79721, 1811, 110229, 29295, 5486, 50, 2507, 16144, 9080, 40053, 33208, 20230, 112183, 16995, 5486, 52884, 77750, 16144, 107734, 111017, 15682, 119448, 47884, 104721, 116547, 79721, 9174, 122582, 863, 105791, 16144, 91774, 119841, 17792, 863, 30512, 37689, 109375, 54926, 101200, 110276, 102677, 100909, 9174, 14711, 108453, 77750, 16144, 102803, 66953, 33710, 15682, 44620, 118331, 61398, 116229, 36761, 38641, 9174, 44620, 14710, 47, 5908, 36761, 71289, 44620, 41758, 101335, 120404, 36761, 102083, 100472, 118331, 61398, 116229, 16144, 34273, 110, 111182, 30512, 9080, 111681, 20230, 103792, 17792, 105459, 29295, 61689, 1811, 103031, 120577, 30832, 40265, 38144, 15682, 87177, 104482, 16144, 118331, 61398, 71289, 102700, 13372, 114754, 116043, 116882, 56051, 47260, 32131, 91062, 38641, 9174, 103031, 33503, 104088, 121423, 65854, 103306, 101067, 23187, 54926, 101200, 110276, 9174, 118288, 37271, 5486, 89783, 39607, 16144, 116690, 34171, 119703, 48249, 31431, 106116, 107707, 52884, 77750, 30512, 98499, 17129, 123733, 100472, 66327, 25197, 25197, 101832, 76864, 15682, 110408, 17663, 102944, 16144, 112160, 106608, 16325, 96356, 125523, 102334, 103306, 32977, 5486, 98499, 126843, 20230, 60868, 60868, 104043, 72238, 121640, 39926, 114732, 105908, 115079, 58942, 100934, 1811, 47260, 44971, 15682, 50834, 104043, 103672, 29220, 103378, 111769, 116497, 38641, 9174, 2118, 116690, 34171, 863, 107407, 17792, 36785, 103306, 32977, 5486, 114567, 20230, 113871, 16325, 101983, 103836, 114754, 5486, 78183, 75694, 78183, 75694, 114567, 30512, 16325, 64889, 107726, 38144, 103296, 52884, 77750, 125523, 102532, 124089, 109335, 113727, 109669, 110706, 9174, 2118, 116690, 34171, 863, 16144, 19361, 43568, 112649, 124233, 121140, 5486, 108134, 110226, 43167, 114556, 64209, 107407, 114754, 107991, 1811, 72342, 42891, 32149, 47884, 52884, 77750, 30512, 102181, 119188, 105272, 55031, 110371, 108761, 103438, 103296, 109948, 32149, 72342, 106956, 9174, 104405, 72342, 52884, 77750, 30512, 102181, 119064, 105110, 80805, 124366, 48552, 30512, 37689, 109375, 56051, 24273, 29295, 104712, 9174, 14711, 220, 109860, 47307, 78983, 33710, 29295, 27384, 30926, 126529, 38641, 9174, 118331, 61398, 116229, 30512, 27280, 118, 62004, 100934, 19732, 5486, 112361, 106084, 30926, 30512, 53283, 117063, 100934, 77219, 26854, 110115, 5486, 102404, 22023, 30046, 113468, 13372, 47000, 105784, 47307, 78983, 33710, 15682, 103826, 104680, 38641, 9174, 27452, 116285, 5486, 118288, 103309, 23039, 125167, 60868, 125135, 16144, 106081, 40862, 109853, 102181, 32149, 115032, 77219, 29295, 105360, 104127, 61689, 1811, 44620, 102433, 106691, 29295, 116137, 29504, 106691, 20230, 27384, 104364, 16556, 113529, 104028, 6447, 36761, 102677, 104346, 20230, 95399, 78943, 20230, 66378, 33208, 56051, 77219, 32977, 30591, 104984, 124620, 102040, 37823, 33710, 103927, 76428, 108981, 123113, 16144, 105037, 236, 16144, 109440, 105414, 55487, 36761, 102083, 100472, 77913, 40862, 20230, 123113, 16144, 105414, 55487, 109853, 102181, 32149, 115032, 102944, 32977, 101182, 124620, 17297, 30512, 70141, 102532, 30369, 88399, 229, 120937, 10110, 31809, 102138, 116511, 7705, 36761, 104309, 115350, 16144, 90178, 20230, 108526, 38248, 104, 22398, 56051, 77219, 32977, 57903, 33541, 9174, 44915, 30512, 101067, 72718, 124545, 863, 47307, 78983, 33710, 863, 116825, 105784, 118733, 5486, 112832, 20230, 98499, 104127, 111654, 102800, 104865, 30512, 31958, 105184, 20230, 78434, 9174, 120007, 16144, 97518, 64209, 48154, 19732, 102416, 39880, 107420, 113335, 54926, 16144, 38641, 9174, 14711, 1054, 105994, 48154, 19732, 863, 15682, 863, 43511, 17792, 48154, 19732, 89874, 2118, 105994, 48154, 19732, 863, 30512, 47307, 78983, 33710, 116446, 114732, 17792, 30512, 114652, 91774, 126929, 33541, 9174, 58426, 32335, 28713, 30369, 102944, 29295, 124620, 110589, 15682, 31195, 1811, 36761, 102083, 100472, 47307, 78983, 33710, 38641, 1811, 44620, 113614, 120761, 64889, 120650, 76947, 50834, 79721, 1811, 36761, 110162, 44620, 103048, 110008, 16144, 51107, 120650, 76947, 50834, 79721, 1811, 36761, 102677, 105933, 102944, 38641, 9174, 9080, 61304, 36785, 103306, 32977, 47260, 44971, 15682, 30813, 17663, 29295, 20230, 100845, 115, 16995, 9174, 117813, 27327, 17792, 71289, 89783, 39607, 16144, 102700, 13372, 17792, 105110, 112185, 15024, 32977, 5486, 103283, 20230, 58426, 107707, 113614, 120761, 64889, 16144, 113702, 20230, 109834, 103868, 120937, 38641, 123794, 95532, 2118, 105994, 48154, 19732, 863, 15682, 120007, 125030, 76947, 15682, 863, 43511, 17792, 48154, 19732, 863, 36785, 102677, 106592, 112727, 106824, 112987, 124324, 9174, 14711, 110096, 37729, 30512, 101067, 72718, 124545, 198, 47307, 78983, 33710, 30512, 98499, 102189, 121142, 44915, 29295, 78183, 117295, 1811, 103672, 29220, 15682, 47260, 44971, 30512, 22649, 101067, 103306, 61689, 1811, 47307, 78983, 33710, 20230, 102971, 105242, 29295, 102181, 102532, 57903, 5486, 116718, 30512, 53283, 31431, 106956, 24273, 103378, 29295, 44915, 30512, 98499, 64121, 103130, 109315, 1811, 47260, 44971, 29295, 15120, 87217, 103129, 107277, 33541, 9174, 89783, 39607, 44915, 20230, 37026, 22023, 107407, 104865, 5486, 115590, 20230, 53508, 123, 33014, 104369, 100472, 31431, 5486, 104721, 20230, 101851, 121, 30369, 105933, 47307, 78983, 33710, 15682, 32149, 58942, 76947, 109440, 115461, 26854, 102944, 38641, 1811, 47260, 44971, 16556, 44915, 29295, 124834, 102518, 33503, 127862, 27479, 19732, 116229, 20230, 120824, 106824, 120700, 123733, 76947, 103801, 61689, 9174, 9458, 112832, 20230, 98499, 104127, 111654, 102800, 104865, 31958, 105184, 117657, 9174, 9458, 58426, 107707, 97518, 64209, 48154, 19732, 20230, 39880, 107420, 113335, 54926, 9174, 9458, 44915, 30512, 101067, 72718, 124545, 47307, 78983, 33710, 30512, 47000, 105784, 9174, 14711, 106773, 91062, 102750, 106696, 10110, 123332, 31809, 115240, 7705, 30512, 7305, 253, 103868, 119607, 9174, 47307, 78983, 33710, 19732, 112361, 120264, 107693, 26854, 112973, 5486, 47307, 78983, 114615, 101171, 229, 20230, 52563, 107001, 60868, 91062, 102750, 106696, 10110, 123332, 31809, 115240, 7705, 38641, 9174, 47260, 44971, 32977, 53900, 47307, 78983, 33710, 19732, 42016, 103826, 20230, 44915, 30512, 101067, 72718, 124545, 102944, 103195, 105908, 22649, 101067, 38641, 9174, 59739, 114774, 76947, 103801, 16995, 29295, 43514, 26854, 112973, 5486, 52591, 102540, 115240, 16144, 38129, 38641, 1811, 114652, 102647, 81219, 115032, 198, 52591, 102540, 115240, 15682, 863, 106956, 100481, 112361, 115240, 863, 103195, 107803, 29295, 127181, 1811, 91774, 112854, 58942, 107407, 115240, 5486, 91774, 28713, 105908, 101182, 115240, 103195, 126465, 29295, 43240, 117714, 38641, 9174, 77693, 20230, 52591, 102540, 115240, 102677, 102944, 15682, 5486, 19967, 109115, 115240, 38641, 109900, 124905, 30297, 39177, 28542, 16556, 44915, 29295, 118741, 124884, 20230, 112391, 124195, 103801, 61689, 9174, 38129, 54926, 117039, 29295, 91774, 40265, 28713, 110104, 121906, 105110, 100604, 103846, 105352, 5486, 103572, 38574, 55031, 117039, 30512, 125152, 31431, 80631, 107, 107436, 33334, 47884, 106592, 33334, 53508, 100, 62004, 78434, 9174, 58426, 77219, 29295, 98499, 17129, 104028, 32149, 104405, 32149, 15682, 1484, 80805, 38248, 119, 52414, 47307, 78983, 33710, 16556, 104662, 115464, 1811, 47307, 78983, 33710, 30512, 37689, 109375, 54926, 121142, 106116, 77219, 15682, 35083, 38574, 20230, 98499, 123606, 126172, 115737, 31431, 33541, 1811, 72342, 42891, 32149, 47884, 52884, 77750, 30512, 102181, 119188, 16144, 38641, 55031, 5486, 43240, 119064, 17792, 20230, 109948, 47884, 104466, 49792, 101908, 30512, 102923, 109768, 50834, 17129, 109954, 9174, 105021, 35287, 103705, 198, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 198, 37507, 116358, 105335, 84477, 99959, 116219, 20230, 118544, 29295, 123253, 32149, 1811, 128001, 128000, 8906, 1376, 22, 15682, 125540, 41758, 76171, 20230, 60868, 116099, 118347, 78767, 52563, 16144, 121432, 15682, 59739, 16995, 100481, 107515, 119520, 5486, 60868, 116099, 118347, 78767, 29295, 52563, 103082, 26854, 113334, 126194, 5486, 14402, 16556, 60868, 116099, 118347, 78767, 30512, 52563, 108608, 50179, 16556, 117271, 125545, 9174, 51330, 77219, 77181, 5486, 8906, 1376, 22, 16556, 60868, 116099, 118347, 78767, 30512, 52563, 124545, 50179, 124905, 100472, 107493, 124620, 26854, 112371, 32149, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 21105, 103, 16995, 36761, 102677, 20251, 32131, 112193, 16144, 103359, 117120, 41007, 109853, 123011, 107436, 61689, 9174, 110241, 5486, 8906, 1376, 22, 16556, 60868, 116099, 118347, 78767, 30512, 52563, 107726, 101200, 103306, 5486, 17905, 46034, 47884, 118544, 100604, 26854, 11571, 102677, 116537, 112371, 104328, 98499, 64121, 103130, 107436, 72315, 9174, 12, 9359, 1376, 22, 16556, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 124545, 41007, 198, 12, 9359, 1376, 22, 15682, 33655, 107462, 100604, 39177, 72661, 40053, 20230, 98499, 64121, 104526, 17129, 104028, 198, 12, 9359, 1376, 22, 30512, 66378, 23187, 122481, 103378, 98499, 64121, 104526, 126559, 116229, 16556, 72718, 105898, 116292, 108740, 198, 12, 115752, 16995, 60868, 116099, 118347, 78767, 111363, 30250, 115, 60634, 41007, 124905, 107462, 100604, 32149, 114140, 17663, 103854, 15024, 198, 12, 124928, 250, 110322, 103223, 64178, 104309, 16556, 65667, 16144, 76739, 109554, 29295, 43568, 16995, 106592, 114140, 17663, 103854, 15024, 198, 12, 220, 123011, 62004, 198, 567, 9359, 1376, 22, 16556, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 124545, 41007, 198, 32335, 32977, 112825, 110904, 26854, 41007, 15682, 9359, 3459, 220, 22, 97718, 71493, 105335 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 125174, 109913, 105262, 123017, 5486, 115303, 118821, 35894, 102452, 103359, 105226, 103306, 107693, 118816, 78244, 105262, 123253, 9174, 39135, 104680, 26854, 35894, 102452, 103359, 105226, 30512, 120837, 8239, 114503, 29295, 104435, 107803, 5486, 35894, 102452, 103359, 105226, 20230, 109606, 107407, 16144, 126194, 111817, 104272, 16144, 80195, 30590, 20230, 109606, 107407, 125396, 32977, 64467, 112419, 116216, 61689, 1811, 80195, 30590, 15682, 17701, 104157, 61826, 30512, 102647, 104369, 104983, 102052, 107693, 26854, 111831, 16144, 115303, 59739, 116787, 108048, 116749, 16144, 28542, 16556, 60632, 102924, 34171, 29295, 30591, 114598, 80195, 30590, 29295, 109161, 16995, 19732, 104405, 120837, 102647, 81219, 33121, 20230, 47884, 16995, 101427, 122, 70141, 107407, 16144, 38641, 109807, 103846, 5486, 35894, 102452, 103359, 105226, 30512, 120837, 17701, 104157, 30046, 125001, 100604, 102677, 116537, 77693, 71689, 103359, 105226, 30512, 114341, 100204, 111243, 8239, 114503, 29295, 102404, 127327, 107001, 125396, 15682, 116213, 16995, 105879, 116898, 42891, 27929, 111817, 104272, 16144, 80195, 30590, 58426, 102944, 30512, 88356, 111800, 118219, 39926, 64121, 30369, 109215, 115991, 33541, 9174, 51330, 104466, 35894, 102452, 103359, 105226, 102052, 39135, 104680, 26854, 102944, 115991, 33541, 29295, 5486, 8239, 114503, 30512, 102404, 127327, 54926, 103846, 102052, 17701, 104157, 30046, 29295, 17701, 110104, 113385, 71289, 109606, 104088, 110993, 62004, 123207, 16995, 76622, 107515, 109807, 17905, 16556, 5486, 113385, 71289, 109606, 20230, 8239, 114503, 109904, 35894, 102452, 103359, 105226, 30512, 114341, 100204, 102204, 104984, 17701, 104157, 30046, 30512, 43167, 62004, 110071, 101200, 115717, 33541, 15024, 5486, 112624, 102452, 121894, 30512, 109205, 69978, 54926, 124122, 103359, 105226, 105352, 106608, 11883, 125545, 1811, 59739, 109709, 67645, 103171, 20230, 19361, 126120, 26854, 35894, 102452, 103359, 105226, 32977, 5486, 113385, 71289, 109606, 20230, 109431, 103792, 102944, 16556, 123207, 8239, 114503, 15682, 102404, 127327, 84389, 100604, 105879, 5486, 103359, 105226, 30512, 114341, 100204, 30369, 25580, 102052, 126843, 35894, 102452, 16144, 113385, 71289, 109606, 30512, 111800, 110322, 54926, 112973, 107693, 38641, 9174, 83812, 225, 110726, 111817, 104272, 125030, 76947, 35894, 102452, 15682, 105260, 51609, 109904, 109606, 116787, 5486, 17701, 104157, 30046, 29295, 43167, 17129, 110104, 113385, 30512, 102178, 111665, 56051, 17905, 16556, 77693, 108422, 33121, 16144, 35894, 102452, 103359, 105226, 117824, 30297, 109215, 115991, 33541, 1811, 119627, 85701, 120577, 103359, 105226, 15682, 5486, 35894, 102452, 125334, 38144, 55031, 23039, 100472, 107803, 102052, 8239, 114503, 125334, 30369, 103296, 20230, 82973, 29295, 32149, 117295, 103846, 5486, 106613, 112167, 29295, 118013, 23039, 32149, 123733, 76947, 114732, 112997, 29220, 32977, 113727, 102204, 33541, 1811, 56051, 29295, 76947, 5486, 90962, 109793, 11972, 119012, 107803, 102052, 5486, 30926, 112772, 35894, 102452, 108176, 125396, 71289, 58426, 113385, 124001, 109606, 109853, 103911, 108867, 30512, 121697, 28713, 17905, 16556, 5486, 35894, 102452, 103359, 105226, 30512, 103350, 102923, 54926, 112973, 32335, 32977, 8239, 114503, 9554, 118816, 113727, 125398, 16144, 38641, 1811, 128001, 128000, 30832, 33671, 198, 567, 220, 58426, 77219, 29295, 98499, 17129, 104028, 32149, 104405, 32149, 15682, 1484, 80805, 38248, 119, 52414, 863, 47307, 78983, 33710, 863, 16556, 104662, 115464, 9174, 58426, 77219, 29295, 98499, 17129, 104028, 32149, 104405, 32149, 15682, 1484, 80805, 38248, 119, 52414, 863, 47307, 78983, 33710, 863, 16556, 104662, 115464, 1811, 102677, 104468, 103268, 17620, 15682, 65299, 102741, 38641, 59459, 49838, 23954, 99849, 104604, 32149, 102677, 19732, 106116, 77219, 30512, 102181, 119188, 112973, 863, 112832, 863, 26854, 104865, 109900, 121142, 98499, 115226, 119150, 105908, 9039, 43240, 47884, 101182, 55031, 38641, 9174, 38641, 55031, 37271, 18904, 15682, 863, 112832, 29295, 102181, 119188, 104865, 17620, 124403, 863, 77219, 102677, 116700, 16556, 87177, 30512, 103130, 62004, 100481, 50834, 33541, 9174, 14711, 108453, 77750, 30512, 102181, 47884, 114667, 15682, 863, 116690, 34171, 863, 16144, 106391, 113638, 198, 103672, 29220, 29295, 52884, 77750, 30512, 102181, 50834, 59739, 109669, 105784, 114667, 15682, 5486, 50, 2507, 16556, 59739, 105722, 103836, 53283, 17792, 71289, 98915, 17792, 5486, 101182, 16995, 15682, 104612, 33710, 16556, 113841, 16144, 101182, 113850, 56965, 71289, 33334, 65854, 98369, 110792, 863, 116690, 34171, 863, 30512, 102987, 109315, 103846, 38641, 9174, 47260, 47260, 29295, 61826, 104662, 118816, 78698, 107290, 61689, 1811, 50834, 104043, 118116, 107707, 107734, 20230, 80195, 59739, 108995, 26854, 5486, 50834, 104043, 118116, 114754, 104940, 104127, 124089, 108995, 26854, 1811, 109860, 5486, 103892, 20230, 114284, 111179, 32149, 102189, 122485, 30512, 101067, 23187, 39926, 58426, 17792, 121254, 107441, 77219, 30512, 102181, 119188, 9174, 2118, 105791, 16144, 91774, 105262, 17792, 20230, 109948, 105784, 100909, 89874, 117382, 15682, 85701, 121142, 114392, 36785, 106046, 107462, 79721, 1811, 110229, 29295, 5486, 50, 2507, 16144, 9080, 40053, 33208, 20230, 112183, 16995, 5486, 52884, 77750, 16144, 107734, 111017, 15682, 119448, 47884, 104721, 116547, 79721, 9174, 122582, 863, 105791, 16144, 91774, 119841, 17792, 863, 30512, 37689, 109375, 54926, 101200, 110276, 102677, 100909, 9174, 14711, 108453, 77750, 16144, 102803, 66953, 33710, 15682, 44620, 118331, 61398, 116229, 36761, 38641, 9174, 44620, 14710, 47, 5908, 36761, 71289, 44620, 41758, 101335, 120404, 36761, 102083, 100472, 118331, 61398, 116229, 16144, 34273, 110, 111182, 30512, 9080, 111681, 20230, 103792, 17792, 105459, 29295, 61689, 1811, 103031, 120577, 30832, 40265, 38144, 15682, 87177, 104482, 16144, 118331, 61398, 71289, 102700, 13372, 114754, 116043, 116882, 56051, 47260, 32131, 91062, 38641, 9174, 103031, 33503, 104088, 121423, 65854, 103306, 101067, 23187, 54926, 101200, 110276, 9174, 118288, 37271, 5486, 89783, 39607, 16144, 116690, 34171, 119703, 48249, 31431, 106116, 107707, 52884, 77750, 30512, 98499, 17129, 123733, 100472, 66327, 25197, 25197, 101832, 76864, 15682, 110408, 17663, 102944, 16144, 112160, 106608, 16325, 96356, 125523, 102334, 103306, 32977, 5486, 98499, 126843, 20230, 60868, 60868, 104043, 72238, 121640, 39926, 114732, 105908, 115079, 58942, 100934, 1811, 47260, 44971, 15682, 50834, 104043, 103672, 29220, 103378, 111769, 116497, 38641, 9174, 2118, 116690, 34171, 863, 107407, 17792, 36785, 103306, 32977, 5486, 114567, 20230, 113871, 16325, 101983, 103836, 114754, 5486, 78183, 75694, 78183, 75694, 114567, 30512, 16325, 64889, 107726, 38144, 103296, 52884, 77750, 125523, 102532, 124089, 109335, 113727, 109669, 110706, 9174, 2118, 116690, 34171, 863, 16144, 19361, 43568, 112649, 124233, 121140, 5486, 108134, 110226, 43167, 114556, 64209, 107407, 114754, 107991, 1811, 72342, 42891, 32149, 47884, 52884, 77750, 30512, 102181, 119188, 105272, 55031, 110371, 108761, 103438, 103296, 109948, 32149, 72342, 106956, 9174, 104405, 72342, 52884, 77750, 30512, 102181, 119064, 105110, 80805, 124366, 48552, 30512, 37689, 109375, 56051, 24273, 29295, 104712, 9174, 14711, 220, 109860, 47307, 78983, 33710, 29295, 27384, 30926, 126529, 38641, 9174, 118331, 61398, 116229, 30512, 27280, 118, 62004, 100934, 19732, 5486, 112361, 106084, 30926, 30512, 53283, 117063, 100934, 77219, 26854, 110115, 5486, 102404, 22023, 30046, 113468, 13372, 47000, 105784, 47307, 78983, 33710, 15682, 103826, 104680, 38641, 9174, 27452, 116285, 5486, 118288, 103309, 23039, 125167, 60868, 125135, 16144, 106081, 40862, 109853, 102181, 32149, 115032, 77219, 29295, 105360, 104127, 61689, 1811, 44620, 102433, 106691, 29295, 116137, 29504, 106691, 20230, 27384, 104364, 16556, 113529, 104028, 6447, 36761, 102677, 104346, 20230, 95399, 78943, 20230, 66378, 33208, 56051, 77219, 32977, 30591, 104984, 124620, 102040, 37823, 33710, 103927, 76428, 108981, 123113, 16144, 105037, 236, 16144, 109440, 105414, 55487, 36761, 102083, 100472, 77913, 40862, 20230, 123113, 16144, 105414, 55487, 109853, 102181, 32149, 115032, 102944, 32977, 101182, 124620, 17297, 30512, 70141, 102532, 30369, 88399, 229, 120937, 10110, 31809, 102138, 116511, 7705, 36761, 104309, 115350, 16144, 90178, 20230, 108526, 38248, 104, 22398, 56051, 77219, 32977, 57903, 33541, 9174, 44915, 30512, 101067, 72718, 124545, 863, 47307, 78983, 33710, 863, 116825, 105784, 118733, 5486, 112832, 20230, 98499, 104127, 111654, 102800, 104865, 30512, 31958, 105184, 20230, 78434, 9174, 120007, 16144, 97518, 64209, 48154, 19732, 102416, 39880, 107420, 113335, 54926, 16144, 38641, 9174, 14711, 1054, 105994, 48154, 19732, 863, 15682, 863, 43511, 17792, 48154, 19732, 89874, 2118, 105994, 48154, 19732, 863, 30512, 47307, 78983, 33710, 116446, 114732, 17792, 30512, 114652, 91774, 126929, 33541, 9174, 58426, 32335, 28713, 30369, 102944, 29295, 124620, 110589, 15682, 31195, 1811, 36761, 102083, 100472, 47307, 78983, 33710, 38641, 1811, 44620, 113614, 120761, 64889, 120650, 76947, 50834, 79721, 1811, 36761, 110162, 44620, 103048, 110008, 16144, 51107, 120650, 76947, 50834, 79721, 1811, 36761, 102677, 105933, 102944, 38641, 9174, 9080, 61304, 36785, 103306, 32977, 47260, 44971, 15682, 30813, 17663, 29295, 20230, 100845, 115, 16995, 9174, 117813, 27327, 17792, 71289, 89783, 39607, 16144, 102700, 13372, 17792, 105110, 112185, 15024, 32977, 5486, 103283, 20230, 58426, 107707, 113614, 120761, 64889, 16144, 113702, 20230, 109834, 103868, 120937, 38641, 123794, 95532, 2118, 105994, 48154, 19732, 863, 15682, 120007, 125030, 76947, 15682, 863, 43511, 17792, 48154, 19732, 863, 36785, 102677, 106592, 112727, 106824, 112987, 124324, 9174, 14711, 110096, 37729, 30512, 101067, 72718, 124545, 198, 47307, 78983, 33710, 30512, 98499, 102189, 121142, 44915, 29295, 78183, 117295, 1811, 103672, 29220, 15682, 47260, 44971, 30512, 22649, 101067, 103306, 61689, 1811, 47307, 78983, 33710, 20230, 102971, 105242, 29295, 102181, 102532, 57903, 5486, 116718, 30512, 53283, 31431, 106956, 24273, 103378, 29295, 44915, 30512, 98499, 64121, 103130, 109315, 1811, 47260, 44971, 29295, 15120, 87217, 103129, 107277, 33541, 9174, 89783, 39607, 44915, 20230, 37026, 22023, 107407, 104865, 5486, 115590, 20230, 53508, 123, 33014, 104369, 100472, 31431, 5486, 104721, 20230, 101851, 121, 30369, 105933, 47307, 78983, 33710, 15682, 32149, 58942, 76947, 109440, 115461, 26854, 102944, 38641, 1811, 47260, 44971, 16556, 44915, 29295, 124834, 102518, 33503, 127862, 27479, 19732, 116229, 20230, 120824, 106824, 120700, 123733, 76947, 103801, 61689, 9174, 9458, 112832, 20230, 98499, 104127, 111654, 102800, 104865, 31958, 105184, 117657, 9174, 9458, 58426, 107707, 97518, 64209, 48154, 19732, 20230, 39880, 107420, 113335, 54926, 9174, 9458, 44915, 30512, 101067, 72718, 124545, 47307, 78983, 33710, 30512, 47000, 105784, 9174, 14711, 106773, 91062, 102750, 106696, 10110, 123332, 31809, 115240, 7705, 30512, 7305, 253, 103868, 119607, 9174, 47307, 78983, 33710, 19732, 112361, 120264, 107693, 26854, 112973, 5486, 47307, 78983, 114615, 101171, 229, 20230, 52563, 107001, 60868, 91062, 102750, 106696, 10110, 123332, 31809, 115240, 7705, 38641, 9174, 47260, 44971, 32977, 53900, 47307, 78983, 33710, 19732, 42016, 103826, 20230, 44915, 30512, 101067, 72718, 124545, 102944, 103195, 105908, 22649, 101067, 38641, 9174, 59739, 114774, 76947, 103801, 16995, 29295, 43514, 26854, 112973, 5486, 52591, 102540, 115240, 16144, 38129, 38641, 1811, 114652, 102647, 81219, 115032, 198, 52591, 102540, 115240, 15682, 863, 106956, 100481, 112361, 115240, 863, 103195, 107803, 29295, 127181, 1811, 91774, 112854, 58942, 107407, 115240, 5486, 91774, 28713, 105908, 101182, 115240, 103195, 126465, 29295, 43240, 117714, 38641, 9174, 77693, 20230, 52591, 102540, 115240, 102677, 102944, 15682, 5486, 19967, 109115, 115240, 38641, 109900, 124905, 30297, 39177, 28542, 16556, 44915, 29295, 118741, 124884, 20230, 112391, 124195, 103801, 61689, 9174, 38129, 54926, 117039, 29295, 91774, 40265, 28713, 110104, 121906, 105110, 100604, 103846, 105352, 5486, 103572, 38574, 55031, 117039, 30512, 125152, 31431, 80631, 107, 107436, 33334, 47884, 106592, 33334, 53508, 100, 62004, 78434, 9174, 58426, 77219, 29295, 98499, 17129, 104028, 32149, 104405, 32149, 15682, 1484, 80805, 38248, 119, 52414, 47307, 78983, 33710, 16556, 104662, 115464, 1811, 47307, 78983, 33710, 30512, 37689, 109375, 54926, 121142, 106116, 77219, 15682, 35083, 38574, 20230, 98499, 123606, 126172, 115737, 31431, 33541, 1811, 72342, 42891, 32149, 47884, 52884, 77750, 30512, 102181, 119188, 16144, 38641, 55031, 5486, 43240, 119064, 17792, 20230, 109948, 47884, 104466, 49792, 101908, 30512, 102923, 109768, 50834, 17129, 109954, 9174, 105021, 35287, 103705, 198, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 16449, 198, 37507, 116358, 105335, 84477, 99959, 116219, 20230, 118544, 29295, 123253, 32149, 1811, 128001, 128000, 8906, 1376, 22, 15682, 125540, 41758, 76171, 20230, 60868, 116099, 118347, 78767, 52563, 16144, 121432, 15682, 59739, 16995, 100481, 107515, 119520, 5486, 60868, 116099, 118347, 78767, 29295, 52563, 103082, 26854, 113334, 126194, 5486, 14402, 16556, 60868, 116099, 118347, 78767, 30512, 52563, 108608, 50179, 16556, 117271, 125545, 9174, 51330, 77219, 77181, 5486, 8906, 1376, 22, 16556, 60868, 116099, 118347, 78767, 30512, 52563, 124545, 50179, 124905, 100472, 107493, 124620, 26854, 112371, 32149, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 21105, 103, 16995, 36761, 102677, 20251, 32131, 112193, 16144, 103359, 117120, 41007, 109853, 123011, 107436, 61689, 9174, 110241, 5486, 8906, 1376, 22, 16556, 60868, 116099, 118347, 78767, 30512, 52563, 107726, 101200, 103306, 5486, 17905, 46034, 47884, 118544, 100604, 26854, 11571, 102677, 116537, 112371, 104328, 98499, 64121, 103130, 107436, 72315, 9174, 12, 9359, 1376, 22, 16556, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 124545, 41007, 198, 12, 9359, 1376, 22, 15682, 33655, 107462, 100604, 39177, 72661, 40053, 20230, 98499, 64121, 104526, 17129, 104028, 198, 12, 9359, 1376, 22, 30512, 66378, 23187, 122481, 103378, 98499, 64121, 104526, 126559, 116229, 16556, 72718, 105898, 116292, 108740, 198, 12, 115752, 16995, 60868, 116099, 118347, 78767, 111363, 30250, 115, 60634, 41007, 124905, 107462, 100604, 32149, 114140, 17663, 103854, 15024, 198, 12, 124928, 250, 110322, 103223, 64178, 104309, 16556, 65667, 16144, 76739, 109554, 29295, 43568, 16995, 106592, 114140, 17663, 103854, 15024, 198, 12, 220, 123011, 62004, 198, 567, 9359, 1376, 22, 16556, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 124545, 41007, 198, 32335, 32977, 112825, 110904, 26854, 41007, 15682, 9359, 3459, 220, 22, 97718, 71493, 105335 ]
[ 91062, 18542, 105729, 102832, 52414, 124905, 16995, 5486, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 54926, 30575, 95371, 103350, 23039, 54926, 100909, 38641, 9174, 71493, 105335, 91062, 15599, 25197, 102832, 52414, 76947, 99849, 11571, 102677, 126513, 5486, 88852, 30512, 48154, 126229, 72315, 9174, 8906, 1376, 220, 22, 15682, 5486, 39850, 64178, 37705, 22023, 126101, 86, 91243, 22, 3796, 25526, 71493, 105335, 91062, 25197, 102832, 52414, 29295, 102404, 21990, 78434, 9174, 88852, 15682, 220, 58426, 86, 91243, 22, 3796, 25526, 105729, 102832, 52414, 102404, 21990, 30512, 115232, 17129, 107290, 5486, 108901, 109020, 5665, 106004, 37823, 124807, 44971, 110548, 124545, 22398, 107167, 57326, 20251, 16144, 27452, 38641, 512, 7890, 397, 6190, 10859, 7, 364, 86, 91243, 22, 3796, 25526, 518, 734, 7, 1567, 883, 341, 2588, 284, 8044, 2186, 905, 1465, 524, 2334, 397, 2588, 16144, 105494, 16144, 3222, 30512, 60868, 116099, 118347, 78767, 16144, 3222, 20230, 126693, 4012, 38641, 9174, 51330, 14402, 30512, 7101, 16556, 98499, 64121, 104526, 62004, 81219, 104712, 16144, 119627, 5486, 114652, 78183, 124403, 102677, 24273, 15682, 125540, 41758, 76171, 124905, 30297, 112973, 33334, 22398, 22398, 39850, 38641, 9174, 51330, 60868, 116099, 118347, 78767, 30512, 52563, 54926, 71493, 105335, 68759, 122624, 37026, 33014, 15682, 102181, 47884, 121142, 112825, 110904, 20230, 103214, 64121, 104526, 109315, 105879, 5486, 85707, 64209, 112919, 24273, 105352, 33334, 22398, 22398, 39850, 16144, 41007, 38641, 9174, 14711, 68042, 114483, 110548, 108526, 103202, 121410, 20230, 60868, 116099, 118347, 78767, 30512, 17620, 105784, 198, 109713, 47307, 110548, 108526, 103202, 121410, 20230, 60868, 116099, 118347, 78767, 30512, 17620, 105784, 102052, 33671, 119775, 1723, 2348, 20230, 116155, 78434, 9174, 71493, 105335, 91062, 25197, 102832, 52414, 20230, 96412, 17129, 104028, 108526, 103202, 926, 104088, 38144, 5486, 108526, 103202, 926, 48154, 19732, 20230, 60868, 116099, 118347, 78767, 30512, 17620, 105784, 105908, 125545, 9174, 931, 15682, 6421, 1376, 22, 16144, 102895, 84477, 121159, 20230, 111017, 31431, 40265, 38144, 109115, 926, 10110, 108526, 103202, 926, 19732, 112361, 7705, 38641, 9174, 723, 8090, 7, 364, 8587, 27056, 518, 364, 723, 5978, 4129, 6257, 6, 1465, 1723, 923, 5978, 4129, 6257, 368, 341, 3123, 44762, 469, 2114, 198, 333, 320, 364, 931, 6, 624, 1567, 28482, 34035, 1876, 769, 883, 341, 2588, 284, 8044, 1531, 198, 2588, 284, 8044, 2588, 284, 8044, 36, 2114, 280, 117811, 24186, 29411, 567, 9359, 1376, 22, 15682, 33655, 107462, 100604, 39177, 72661, 40053, 20230, 98499, 64121, 104526, 17129, 104028, 198, 8906, 1376, 22, 15682, 102895, 84477, 121159, 16556, 102332, 22324, 78434, 119520, 5486, 9359, 1376, 22, 16144, 102895, 84477, 121159, 30512, 102332, 22324, 109768, 100604, 122481, 72661, 5486, 125540, 41758, 76171, 29295, 98499, 64121, 104526, 17129, 104028, 104468, 114652, 53283, 109115, 87177, 38641, 9174, 14711, 5195, 55099, 23218, 29295, 40053, 20230, 52563, 107001, 198, 8906, 1376, 22, 16556, 76171, 57933, 41758, 44971, 38248, 115, 78205, 16073, 55031, 14783, 1421, 26506, 348, 18, 30512, 19361, 126120, 20230, 112990, 37087, 122481, 16556, 52563, 84389, 33541, 9174, 14711, 110325, 23187, 122481, 103378, 8906, 1376, 22, 30512, 98499, 64121, 104526, 104004, 102052, 95532, 110382, 17129, 72661, 114652, 53283, 109115, 87177, 16556, 5486, 8906, 1376, 22, 30512, 66378, 23187, 16144, 124108, 122481, 121142, 98499, 64121, 104526, 104004, 105933, 71493, 105335, 68759, 122624, 30512, 103792, 116537, 127181, 106046, 61689, 9174, 127880, 126513, 9316, 2865, 4141, 124905, 76947, 66378, 23187, 122481, 103378, 8906, 1376, 22, 30512, 98499, 64121, 104526, 104004, 104466, 127145, 9174, 80673, 5486, 110924, 103296, 71289, 31431, 121771, 100604, 102677, 116537, 5486, 33671, 120950, 41007, 16556, 103359, 117120, 103792, 105908, 127181, 117840, 9174, 8906, 1376, 22, 16256, 19732, 2580, 103378, 98499, 64121, 104526, 17129, 100604, 41007, 198, 5254, 19732, 2580, 103378, 102677, 112973, 102159, 105390, 102052, 114652, 78183, 124403, 16144, 119627, 5486, 111800, 52084, 112990, 19732, 111243, 43240, 47884, 107461, 67075, 78434, 1811, 2732, 4732, 72071, 16144, 118565, 26269, 119557, 103359, 105226, 36785, 106046, 61689, 9174, 102131, 95604, 71493, 105335, 68759, 122624, 126198, 6109, 116229, 30512, 109790, 30046, 29295, 113801, 120321, 117201, 5486, 127177, 122481, 20230, 109713, 47307, 110548, 108526, 103202, 30512, 116155, 56051, 39177, 55031, 116292, 108740, 29295, 27704, 109709, 33541, 9174, 567, 9359, 1376, 22, 30512, 66378, 23187, 122481, 103378, 98499, 64121, 104526, 126559, 116229, 16556, 72718, 105898, 116292, 108740, 198, 8906, 1376, 22, 30512, 66378, 23187, 122481, 103378, 98499, 64121, 104526, 126559, 116229, 30512, 113801, 120321, 117201, 109713, 47307, 110548, 108526, 103202, 30512, 116155, 39926, 64121, 104533, 33334, 27929, 124749, 17, 118821, 121894, 29295, 72718, 50834, 33541, 9174, 12, 20033, 98, 16144, 124108, 122481, 20230, 8906, 1376, 22, 16144, 102895, 84477, 121159, 29295, 58426, 110674, 52563, 107001, 198, 12, 20033, 98, 16144, 124108, 122481, 20230, 8906, 1376, 22, 16144, 108526, 103202, 15682, 52563, 116216, 39850, 64178, 37705, 22023, 108608, 110115, 5486, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 21105, 103, 16995, 198, 14711, 20033, 98, 16144, 124108, 122481, 20230, 8906, 1376, 22, 16144, 102895, 84477, 121159, 29295, 58426, 110674, 52563, 107001, 198, 827, 111830, 63212, 198, 110904, 116254, 20230, 8906, 1376, 22, 16144, 125540, 41758, 76171, 29295, 98499, 64121, 104526, 123606, 126386, 16144, 38641, 104699, 20230, 116499, 114308, 33541, 9174, 66378, 23187, 16144, 122481, 103378, 5486, 8906, 1376, 22, 16144, 125540, 41758, 76171, 30512, 98499, 64121, 104526, 104004, 116700, 101983, 103836, 116497, 38641, 9174, 827, 49854, 122, 105226, 198, 9316, 16144, 98499, 64121, 121423, 109823, 16556, 5486, 8906, 1376, 22, 30512, 102332, 22324, 103792, 124108, 122481, 29295, 19361, 126120, 101983, 103836, 32149, 114140, 103801, 109954, 9174, 14711, 20033, 98, 16144, 124108, 122481, 20230, 8906, 1376, 22, 16144, 108526, 103202, 15682, 52563, 116216, 39850, 64178, 37705, 22023, 108608, 110115, 5486, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 21105, 103, 16995, 198, 85701, 15682, 121854, 111101, 20230, 78183, 107277, 20230, 47884, 16995, 38641, 1811, 39850, 64178, 37705, 22023, 103082, 38144, 114732, 105879, 5486, 9316, 15682, 91875, 119188, 104466, 91774, 58942, 33541, 105879, 117119, 29295, 109161, 16995, 104865, 113385, 116825, 32149, 104004, 110115, 107202, 8239, 112, 78434, 9174, 90620, 5486, 37705, 22023, 56051, 125344, 41177, 16144, 91875, 50834, 29295, 43568, 102518, 105879, 5486, 105321, 32149, 17129, 107173, 20230, 91875, 16995, 126386, 26854, 114318, 112844, 104468, 78183, 107277, 79721, 9174, 8906, 1376, 22, 16144, 125540, 41758, 76171, 15682, 98499, 64121, 104526, 17129, 106824, 61689, 122262, 27929, 124749, 5486, 8906, 1376, 22, 16144, 14402, 29295, 98499, 64121, 104526, 123606, 100481, 107515, 1811, 59739, 109709, 5486, 71493, 105335, 91062, 15599, 25197, 102832, 52414, 29295, 102404, 21990, 21105, 103, 16995, 55031, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 103082, 126386, 9174, 66378, 23187, 16144, 122481, 103378, 5486, 8906, 1376, 22, 16144, 14402, 30512, 98499, 64121, 104526, 104004, 116700, 101983, 103836, 116497, 38641, 9174, 14, 353, 3729, 1376, 220, 22, 16144, 2580, 19732, 5254, 30512, 122434, 740, 1723, 856, 18692, 72243, 22, 27346, 27013, 368, 341, 723, 8901, 7, 364, 86, 91243, 22, 12693, 27346, 518, 12385, 693, 37115, 6, 1465, 723, 8901, 7, 364, 86, 91243, 22, 12693, 27013, 518, 12385, 693, 37115, 6, 1465, 723, 8090, 7, 364, 10924, 22074, 20455, 518, 364, 2465, 18692, 72243, 22, 27346, 27013, 6, 1465, 1075, 3729, 1376, 220, 22, 16144, 2580, 19732, 5254, 30512, 98499, 64121, 121423, 740, 1723, 856, 19525, 72243, 22, 27346, 27013, 368, 314, 611, 353, 80050, 32131, 115432, 29295, 13177, 6421, 117503, 122481, 103378, 98499, 64121, 121423, 740, 333, 7, 374, 6257, 7, 364, 6421, 6, 883, 883, 341, 333, 320, 734, 9965, 7, 364, 86, 91243, 22, 29495, 36889, 6, 883, 883, 314, 289, 91243, 22, 29495, 36889, 2178, 457, 333, 320, 734, 9965, 7, 364, 86, 91243, 22, 29495, 38957, 6, 883, 883, 314, 289, 91243, 22, 29495, 38957, 2178, 335, 457, 92, 923, 8090, 7, 364, 8587, 29495, 36889, 518, 364, 2465, 19525, 72243, 22, 27346, 27013, 6, 1465, 8906, 1376, 22, 16144, 14402, 16144, 98499, 64121, 121423, 109823, 16556, 5486, 124108, 122481, 16144, 15476, 29295, 124108, 84389, 126386, 32149, 114140, 103801, 109954, 9174, 6421, 102677, 15476, 103378, 102181, 32149, 115032, 112973, 113385, 38641, 9174, 33671, 119775, 5486, 102332, 22324, 56051, 103283, 16144, 122481, 16144, 15476, 32977, 116155, 103801, 109954, 9174, 333, 7, 374, 6257, 7, 364, 6421, 6, 883, 1393, 374, 6257, 7, 364, 127177, 15476, 6, 883, 883, 341, 567, 115752, 16995, 60868, 116099, 118347, 78767, 111363, 30250, 115, 60634, 41007, 124905, 107462, 100604, 32149, 114140, 17663, 103854, 15024, 198, 119695, 116229, 20230, 111476, 263, 25084, 20404, 112031, 389, 32774, 108295, 9359, 3459, 220, 22, 220, 20, 13, 15, 113699, 117727, 20230, 21403, 232, 21418, 84389, 79721, 9174, 19732, 57903, 33541, 105879, 106116, 61304, 43032, 124905, 107462, 100604, 32149, 114140, 56051, 24273, 29295, 103424, 117201, 109954, 9174, 116155, 116700, 1054, 263, 25084, 20404, 863, 108295, 108526, 103202, 37705, 22023, 29295, 47406, 35287, 15024, 39850, 64178, 16144, 37705, 22023, 105352, 19653, 56051, 126101, 103350, 23039, 107001, 13210, 68042, 65575, 30512, 111017, 31431, 40265, 125655, 113009, 38129, 107001, 102944, 38641, 1811, 111234, 52884, 39880, 96452, 37823, 103906, 29220, 22398, 125175, 16556, 108526, 103202, 37705, 22023, 30512, 20251, 32131, 26269, 119557, 56051, 31431, 5486, 108526, 103202, 37705, 22023, 123090, 108901, 109020, 122481, 20230, 37823, 124807, 44971, 110548, 124545, 11883, 108968, 16556, 114652, 33655, 123671, 33541, 9174, 2118, 263, 25084, 20404, 863, 112031, 58426, 127857, 116700, 1054, 263, 32774, 863, 108295, 66776, 84851, 28194, 101, 104856, 76947, 108086, 5486, 679, 22, 8107, 106968, 103296, 20230, 25766, 225, 82533, 107001, 103911, 23187, 38641, 118844, 120577, 116700, 124905, 30297, 105908, 92776, 109688, 117126, 36785, 102677, 100909, 111769, 119627, 5486, 32307, 29295, 15120, 51330, 125540, 41758, 76171, 71289, 101182, 16995, 15682, 30591, 112568, 16144, 116229, 16144, 127177, 105494, 20230, 101171, 228, 112294, 34171, 122291, 107803, 20230, 112997, 29220, 30512, 115079, 27384, 124545, 125396, 115991, 33541, 1811, 105755, 105509, 26854, 31640, 109913, 41007, 20230, 22324, 50834, 109033, 105262, 125231, 38641, 9174, 567, 124928, 250, 110322, 103223, 64178, 104309, 16556, 65667, 16144, 76739, 109554, 29295, 43568, 16995, 106592, 114140, 17663, 103854, 15024, 198, 8906, 1376, 22, 20230, 48249, 31431, 107515, 29295, 117119, 32149, 29295, 120870, 20230, 91875, 126660, 126101, 107750, 30297, 125231, 15682, 5486, 65667, 20230, 76739, 109554, 125334, 126386, 32149, 104405, 32149, 11571, 38641, 9174, 103350, 104983, 102052, 8906, 1376, 22, 107118, 109467, 116690, 100604, 119627, 5486, 14783, 1421, 26506, 348, 18, 110792, 103214, 64121, 114146, 16556, 39850, 64178, 29295, 120870, 20230, 37705, 22023, 103082, 26854, 103470, 109020, 102321, 47523, 32977, 5486, 2827, 26506, 16144, 14402, 16144, 76739, 109554, 29295, 113385, 16144, 107803, 29295, 102717, 19732, 124592, 38641, 9174, 103826, 104680, 26854, 116229, 30512, 26955, 251, 91774, 109768, 104533, 5486, 14402, 76739, 109554, 125334, 17129, 47884, 103836, 116229, 125001, 111201, 43240, 118544, 1811, 102131, 56051, 126465, 15682, 5486, 47260, 70563, 99695, 101198, 22398, 5486, 47260, 70563, 99695, 82912, 16144, 56965, 121953, 5486, 122270, 102491, 16995, 125540, 41758, 76171, 124905, 76947, 102532, 76739, 109554, 101983, 103836, 104309, 29295, 113385, 38641, 9174, 108895, 95604, 17792, 127282, 5486, 50170, 16144, 111800, 110322, 103223, 64178, 104309, 124905, 78183, 100604, 105879, 5486, 27929, 32977, 27929, 32977, 14402, 20230, 76739, 109554, 125334, 100934, 106592, 104736, 109375, 109768, 107515, 1811, 38641, 105879, 106116, 110674, 54322, 22324, 116216, 61689, 9174, 85791, 47884, 20230, 113385, 50338, 98871, 32977, 118765, 17792, 105459, 29295, 99849, 72661, 47260, 70563, 99695, 103082, 38144, 114732, 123017, 113727, 102944, 36785, 106046, 16995, 79721, 9174, 567, 220, 123011, 62004, 198, 8906, 1376, 22, 15682, 108008, 20230, 43240, 119064, 107740, 30046, 29295, 61689, 105879, 5486, 118823, 16556, 111800, 52084, 39926, 117735, 32977, 17620, 55031, 101860, 47260, 70563, 99695, 103792, 114754, 127181, 106046, 61689, 8906, 1376, 22, 16144, 58521, 15682, 30591, 109709, 106759, 102769, 110034, 105879, 117119, 32149, 109606, 122291, 33503, 105994, 16556, 50338, 104662, 108608, 104466, 39926, 33334, 50834, 17129, 109954, 1811, 128001, 128000, 51330, 108285, 58655, 15682, 5486, 1954, 9080, 71689, 51107, 109768, 100604, 52884, 77750, 20230, 52563, 127145, 9174, 2, 55699, 117, 96455, 112535, 113351, 119049, 30512, 111017, 30369, 17, 118821, 41007, 198, 64121, 26854, 98369, 69847, 81219, 25827, 78183, 198, 113351, 119049, 30512, 111017, 30369, 106592, 30832, 105888, 20230, 119049, 20251, 44971, 71289, 124807, 76739, 67075, 123410, 116537, 127181, 106046, 61689, 198, 105184, 111201, 100990, 118, 114758, 20230, 111017, 103468, 57207, 107840, 80805, 48552, 15682, 71208, 16144, 107063, 100, 33121, 38641, 1811, 67016, 56051, 36785, 110904, 20230, 113351, 119049, 117401, 123410, 103378, 77181, 102131, 112825, 110904, 20230, 113351, 119049, 15682, 111017, 33121, 107515, 9174, 26854, 105879, 37271, 18904, 15682, 126120, 96455, 112535, 113351, 119049, 30512, 111017, 30369, 41007, 30512, 126362, 78434, 198, 14711, 102362, 15682, 112832, 15024, 32977, 113351, 119049, 15682, 111017, 115032, 198, 126843, 85707, 62004, 20230, 113351, 119049, 107118, 33334, 113351, 16144, 25580, 110366, 117083, 113351, 74245, 119049, 19732, 109203, 16144, 105494, 117083, 113351, 7741, 250, 119049, 20230, 17620, 32149, 106824, 61689, 198, 113351, 74245 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 91062, 18542, 105729, 102832, 52414, 124905, 16995, 5486, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 54926, 30575, 95371, 103350, 23039, 54926, 100909, 38641, 9174, 71493, 105335, 91062, 15599, 25197, 102832, 52414, 76947, 99849, 11571, 102677, 126513, 5486, 88852, 30512, 48154, 126229, 72315, 9174, 8906, 1376, 220, 22, 15682, 5486, 39850, 64178, 37705, 22023, 126101, 86, 91243, 22, 3796, 25526, 71493, 105335, 91062, 25197, 102832, 52414, 29295, 102404, 21990, 78434, 9174, 88852, 15682, 220, 58426, 86, 91243, 22, 3796, 25526, 105729, 102832, 52414, 102404, 21990, 30512, 115232, 17129, 107290, 5486, 108901, 109020, 5665, 106004, 37823, 124807, 44971, 110548, 124545, 22398, 107167, 57326, 20251, 16144, 27452, 38641, 512, 7890, 397, 6190, 10859, 7, 364, 86, 91243, 22, 3796, 25526, 518, 734, 7, 1567, 883, 341, 2588, 284, 8044, 2186, 905, 1465, 524, 2334, 397, 2588, 16144, 105494, 16144, 3222, 30512, 60868, 116099, 118347, 78767, 16144, 3222, 20230, 126693, 4012, 38641, 9174, 51330, 14402, 30512, 7101, 16556, 98499, 64121, 104526, 62004, 81219, 104712, 16144, 119627, 5486, 114652, 78183, 124403, 102677, 24273, 15682, 125540, 41758, 76171, 124905, 30297, 112973, 33334, 22398, 22398, 39850, 38641, 9174, 51330, 60868, 116099, 118347, 78767, 30512, 52563, 54926, 71493, 105335, 68759, 122624, 37026, 33014, 15682, 102181, 47884, 121142, 112825, 110904, 20230, 103214, 64121, 104526, 109315, 105879, 5486, 85707, 64209, 112919, 24273, 105352, 33334, 22398, 22398, 39850, 16144, 41007, 38641, 9174, 14711, 68042, 114483, 110548, 108526, 103202, 121410, 20230, 60868, 116099, 118347, 78767, 30512, 17620, 105784, 198, 109713, 47307, 110548, 108526, 103202, 121410, 20230, 60868, 116099, 118347, 78767, 30512, 17620, 105784, 102052, 33671, 119775, 1723, 2348, 20230, 116155, 78434, 9174, 71493, 105335, 91062, 25197, 102832, 52414, 20230, 96412, 17129, 104028, 108526, 103202, 926, 104088, 38144, 5486, 108526, 103202, 926, 48154, 19732, 20230, 60868, 116099, 118347, 78767, 30512, 17620, 105784, 105908, 125545, 9174, 931, 15682, 6421, 1376, 22, 16144, 102895, 84477, 121159, 20230, 111017, 31431, 40265, 38144, 109115, 926, 10110, 108526, 103202, 926, 19732, 112361, 7705, 38641, 9174, 723, 8090, 7, 364, 8587, 27056, 518, 364, 723, 5978, 4129, 6257, 6, 1465, 1723, 923, 5978, 4129, 6257, 368, 341, 3123, 44762, 469, 2114, 198, 333, 320, 364, 931, 6, 624, 1567, 28482, 34035, 1876, 769, 883, 341, 2588, 284, 8044, 1531, 198, 2588, 284, 8044, 2588, 284, 8044, 36, 2114, 280, 117811, 24186, 29411, 567, 9359, 1376, 22, 15682, 33655, 107462, 100604, 39177, 72661, 40053, 20230, 98499, 64121, 104526, 17129, 104028, 198, 8906, 1376, 22, 15682, 102895, 84477, 121159, 16556, 102332, 22324, 78434, 119520, 5486, 9359, 1376, 22, 16144, 102895, 84477, 121159, 30512, 102332, 22324, 109768, 100604, 122481, 72661, 5486, 125540, 41758, 76171, 29295, 98499, 64121, 104526, 17129, 104028, 104468, 114652, 53283, 109115, 87177, 38641, 9174, 14711, 5195, 55099, 23218, 29295, 40053, 20230, 52563, 107001, 198, 8906, 1376, 22, 16556, 76171, 57933, 41758, 44971, 38248, 115, 78205, 16073, 55031, 14783, 1421, 26506, 348, 18, 30512, 19361, 126120, 20230, 112990, 37087, 122481, 16556, 52563, 84389, 33541, 9174, 14711, 110325, 23187, 122481, 103378, 8906, 1376, 22, 30512, 98499, 64121, 104526, 104004, 102052, 95532, 110382, 17129, 72661, 114652, 53283, 109115, 87177, 16556, 5486, 8906, 1376, 22, 30512, 66378, 23187, 16144, 124108, 122481, 121142, 98499, 64121, 104526, 104004, 105933, 71493, 105335, 68759, 122624, 30512, 103792, 116537, 127181, 106046, 61689, 9174, 127880, 126513, 9316, 2865, 4141, 124905, 76947, 66378, 23187, 122481, 103378, 8906, 1376, 22, 30512, 98499, 64121, 104526, 104004, 104466, 127145, 9174, 80673, 5486, 110924, 103296, 71289, 31431, 121771, 100604, 102677, 116537, 5486, 33671, 120950, 41007, 16556, 103359, 117120, 103792, 105908, 127181, 117840, 9174, 8906, 1376, 22, 16256, 19732, 2580, 103378, 98499, 64121, 104526, 17129, 100604, 41007, 198, 5254, 19732, 2580, 103378, 102677, 112973, 102159, 105390, 102052, 114652, 78183, 124403, 16144, 119627, 5486, 111800, 52084, 112990, 19732, 111243, 43240, 47884, 107461, 67075, 78434, 1811, 2732, 4732, 72071, 16144, 118565, 26269, 119557, 103359, 105226, 36785, 106046, 61689, 9174, 102131, 95604, 71493, 105335, 68759, 122624, 126198, 6109, 116229, 30512, 109790, 30046, 29295, 113801, 120321, 117201, 5486, 127177, 122481, 20230, 109713, 47307, 110548, 108526, 103202, 30512, 116155, 56051, 39177, 55031, 116292, 108740, 29295, 27704, 109709, 33541, 9174, 567, 9359, 1376, 22, 30512, 66378, 23187, 122481, 103378, 98499, 64121, 104526, 126559, 116229, 16556, 72718, 105898, 116292, 108740, 198, 8906, 1376, 22, 30512, 66378, 23187, 122481, 103378, 98499, 64121, 104526, 126559, 116229, 30512, 113801, 120321, 117201, 109713, 47307, 110548, 108526, 103202, 30512, 116155, 39926, 64121, 104533, 33334, 27929, 124749, 17, 118821, 121894, 29295, 72718, 50834, 33541, 9174, 12, 20033, 98, 16144, 124108, 122481, 20230, 8906, 1376, 22, 16144, 102895, 84477, 121159, 29295, 58426, 110674, 52563, 107001, 198, 12, 20033, 98, 16144, 124108, 122481, 20230, 8906, 1376, 22, 16144, 108526, 103202, 15682, 52563, 116216, 39850, 64178, 37705, 22023, 108608, 110115, 5486, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 21105, 103, 16995, 198, 14711, 20033, 98, 16144, 124108, 122481, 20230, 8906, 1376, 22, 16144, 102895, 84477, 121159, 29295, 58426, 110674, 52563, 107001, 198, 827, 111830, 63212, 198, 110904, 116254, 20230, 8906, 1376, 22, 16144, 125540, 41758, 76171, 29295, 98499, 64121, 104526, 123606, 126386, 16144, 38641, 104699, 20230, 116499, 114308, 33541, 9174, 66378, 23187, 16144, 122481, 103378, 5486, 8906, 1376, 22, 16144, 125540, 41758, 76171, 30512, 98499, 64121, 104526, 104004, 116700, 101983, 103836, 116497, 38641, 9174, 827, 49854, 122, 105226, 198, 9316, 16144, 98499, 64121, 121423, 109823, 16556, 5486, 8906, 1376, 22, 30512, 102332, 22324, 103792, 124108, 122481, 29295, 19361, 126120, 101983, 103836, 32149, 114140, 103801, 109954, 9174, 14711, 20033, 98, 16144, 124108, 122481, 20230, 8906, 1376, 22, 16144, 108526, 103202, 15682, 52563, 116216, 39850, 64178, 37705, 22023, 108608, 110115, 5486, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 21105, 103, 16995, 198, 85701, 15682, 121854, 111101, 20230, 78183, 107277, 20230, 47884, 16995, 38641, 1811, 39850, 64178, 37705, 22023, 103082, 38144, 114732, 105879, 5486, 9316, 15682, 91875, 119188, 104466, 91774, 58942, 33541, 105879, 117119, 29295, 109161, 16995, 104865, 113385, 116825, 32149, 104004, 110115, 107202, 8239, 112, 78434, 9174, 90620, 5486, 37705, 22023, 56051, 125344, 41177, 16144, 91875, 50834, 29295, 43568, 102518, 105879, 5486, 105321, 32149, 17129, 107173, 20230, 91875, 16995, 126386, 26854, 114318, 112844, 104468, 78183, 107277, 79721, 9174, 8906, 1376, 22, 16144, 125540, 41758, 76171, 15682, 98499, 64121, 104526, 17129, 106824, 61689, 122262, 27929, 124749, 5486, 8906, 1376, 22, 16144, 14402, 29295, 98499, 64121, 104526, 123606, 100481, 107515, 1811, 59739, 109709, 5486, 71493, 105335, 91062, 15599, 25197, 102832, 52414, 29295, 102404, 21990, 21105, 103, 16995, 55031, 60868, 116099, 118347, 78767, 20230, 30250, 115, 60634, 103082, 126386, 9174, 66378, 23187, 16144, 122481, 103378, 5486, 8906, 1376, 22, 16144, 14402, 30512, 98499, 64121, 104526, 104004, 116700, 101983, 103836, 116497, 38641, 9174, 14, 353, 3729, 1376, 220, 22, 16144, 2580, 19732, 5254, 30512, 122434, 740, 1723, 856, 18692, 72243, 22, 27346, 27013, 368, 341, 723, 8901, 7, 364, 86, 91243, 22, 12693, 27346, 518, 12385, 693, 37115, 6, 1465, 723, 8901, 7, 364, 86, 91243, 22, 12693, 27013, 518, 12385, 693, 37115, 6, 1465, 723, 8090, 7, 364, 10924, 22074, 20455, 518, 364, 2465, 18692, 72243, 22, 27346, 27013, 6, 1465, 1075, 3729, 1376, 220, 22, 16144, 2580, 19732, 5254, 30512, 98499, 64121, 121423, 740, 1723, 856, 19525, 72243, 22, 27346, 27013, 368, 314, 611, 353, 80050, 32131, 115432, 29295, 13177, 6421, 117503, 122481, 103378, 98499, 64121, 121423, 740, 333, 7, 374, 6257, 7, 364, 6421, 6, 883, 883, 341, 333, 320, 734, 9965, 7, 364, 86, 91243, 22, 29495, 36889, 6, 883, 883, 314, 289, 91243, 22, 29495, 36889, 2178, 457, 333, 320, 734, 9965, 7, 364, 86, 91243, 22, 29495, 38957, 6, 883, 883, 314, 289, 91243, 22, 29495, 38957, 2178, 335, 457, 92, 923, 8090, 7, 364, 8587, 29495, 36889, 518, 364, 2465, 19525, 72243, 22, 27346, 27013, 6, 1465, 8906, 1376, 22, 16144, 14402, 16144, 98499, 64121, 121423, 109823, 16556, 5486, 124108, 122481, 16144, 15476, 29295, 124108, 84389, 126386, 32149, 114140, 103801, 109954, 9174, 6421, 102677, 15476, 103378, 102181, 32149, 115032, 112973, 113385, 38641, 9174, 33671, 119775, 5486, 102332, 22324, 56051, 103283, 16144, 122481, 16144, 15476, 32977, 116155, 103801, 109954, 9174, 333, 7, 374, 6257, 7, 364, 6421, 6, 883, 1393, 374, 6257, 7, 364, 127177, 15476, 6, 883, 883, 341, 567, 115752, 16995, 60868, 116099, 118347, 78767, 111363, 30250, 115, 60634, 41007, 124905, 107462, 100604, 32149, 114140, 17663, 103854, 15024, 198, 119695, 116229, 20230, 111476, 263, 25084, 20404, 112031, 389, 32774, 108295, 9359, 3459, 220, 22, 220, 20, 13, 15, 113699, 117727, 20230, 21403, 232, 21418, 84389, 79721, 9174, 19732, 57903, 33541, 105879, 106116, 61304, 43032, 124905, 107462, 100604, 32149, 114140, 56051, 24273, 29295, 103424, 117201, 109954, 9174, 116155, 116700, 1054, 263, 25084, 20404, 863, 108295, 108526, 103202, 37705, 22023, 29295, 47406, 35287, 15024, 39850, 64178, 16144, 37705, 22023, 105352, 19653, 56051, 126101, 103350, 23039, 107001, 13210, 68042, 65575, 30512, 111017, 31431, 40265, 125655, 113009, 38129, 107001, 102944, 38641, 1811, 111234, 52884, 39880, 96452, 37823, 103906, 29220, 22398, 125175, 16556, 108526, 103202, 37705, 22023, 30512, 20251, 32131, 26269, 119557, 56051, 31431, 5486, 108526, 103202, 37705, 22023, 123090, 108901, 109020, 122481, 20230, 37823, 124807, 44971, 110548, 124545, 11883, 108968, 16556, 114652, 33655, 123671, 33541, 9174, 2118, 263, 25084, 20404, 863, 112031, 58426, 127857, 116700, 1054, 263, 32774, 863, 108295, 66776, 84851, 28194, 101, 104856, 76947, 108086, 5486, 679, 22, 8107, 106968, 103296, 20230, 25766, 225, 82533, 107001, 103911, 23187, 38641, 118844, 120577, 116700, 124905, 30297, 105908, 92776, 109688, 117126, 36785, 102677, 100909, 111769, 119627, 5486, 32307, 29295, 15120, 51330, 125540, 41758, 76171, 71289, 101182, 16995, 15682, 30591, 112568, 16144, 116229, 16144, 127177, 105494, 20230, 101171, 228, 112294, 34171, 122291, 107803, 20230, 112997, 29220, 30512, 115079, 27384, 124545, 125396, 115991, 33541, 1811, 105755, 105509, 26854, 31640, 109913, 41007, 20230, 22324, 50834, 109033, 105262, 125231, 38641, 9174, 567, 124928, 250, 110322, 103223, 64178, 104309, 16556, 65667, 16144, 76739, 109554, 29295, 43568, 16995, 106592, 114140, 17663, 103854, 15024, 198, 8906, 1376, 22, 20230, 48249, 31431, 107515, 29295, 117119, 32149, 29295, 120870, 20230, 91875, 126660, 126101, 107750, 30297, 125231, 15682, 5486, 65667, 20230, 76739, 109554, 125334, 126386, 32149, 104405, 32149, 11571, 38641, 9174, 103350, 104983, 102052, 8906, 1376, 22, 107118, 109467, 116690, 100604, 119627, 5486, 14783, 1421, 26506, 348, 18, 110792, 103214, 64121, 114146, 16556, 39850, 64178, 29295, 120870, 20230, 37705, 22023, 103082, 26854, 103470, 109020, 102321, 47523, 32977, 5486, 2827, 26506, 16144, 14402, 16144, 76739, 109554, 29295, 113385, 16144, 107803, 29295, 102717, 19732, 124592, 38641, 9174, 103826, 104680, 26854, 116229, 30512, 26955, 251, 91774, 109768, 104533, 5486, 14402, 76739, 109554, 125334, 17129, 47884, 103836, 116229, 125001, 111201, 43240, 118544, 1811, 102131, 56051, 126465, 15682, 5486, 47260, 70563, 99695, 101198, 22398, 5486, 47260, 70563, 99695, 82912, 16144, 56965, 121953, 5486, 122270, 102491, 16995, 125540, 41758, 76171, 124905, 76947, 102532, 76739, 109554, 101983, 103836, 104309, 29295, 113385, 38641, 9174, 108895, 95604, 17792, 127282, 5486, 50170, 16144, 111800, 110322, 103223, 64178, 104309, 124905, 78183, 100604, 105879, 5486, 27929, 32977, 27929, 32977, 14402, 20230, 76739, 109554, 125334, 100934, 106592, 104736, 109375, 109768, 107515, 1811, 38641, 105879, 106116, 110674, 54322, 22324, 116216, 61689, 9174, 85791, 47884, 20230, 113385, 50338, 98871, 32977, 118765, 17792, 105459, 29295, 99849, 72661, 47260, 70563, 99695, 103082, 38144, 114732, 123017, 113727, 102944, 36785, 106046, 16995, 79721, 9174, 567, 220, 123011, 62004, 198, 8906, 1376, 22, 15682, 108008, 20230, 43240, 119064, 107740, 30046, 29295, 61689, 105879, 5486, 118823, 16556, 111800, 52084, 39926, 117735, 32977, 17620, 55031, 101860, 47260, 70563, 99695, 103792, 114754, 127181, 106046, 61689, 8906, 1376, 22, 16144, 58521, 15682, 30591, 109709, 106759, 102769, 110034, 105879, 117119, 32149, 109606, 122291, 33503, 105994, 16556, 50338, 104662, 108608, 104466, 39926, 33334, 50834, 17129, 109954, 1811, 128001, 128000, 51330, 108285, 58655, 15682, 5486, 1954, 9080, 71689, 51107, 109768, 100604, 52884, 77750, 20230, 52563, 127145, 9174, 2, 55699, 117, 96455, 112535, 113351, 119049, 30512, 111017, 30369, 17, 118821, 41007, 198, 64121, 26854, 98369, 69847, 81219, 25827, 78183, 198, 113351, 119049, 30512, 111017, 30369, 106592, 30832, 105888, 20230, 119049, 20251, 44971, 71289, 124807, 76739, 67075, 123410, 116537, 127181, 106046, 61689, 198, 105184, 111201, 100990, 118, 114758, 20230, 111017, 103468, 57207, 107840, 80805, 48552, 15682, 71208, 16144, 107063, 100, 33121, 38641, 1811, 67016, 56051, 36785, 110904, 20230, 113351, 119049, 117401, 123410, 103378, 77181, 102131, 112825, 110904, 20230, 113351, 119049, 15682, 111017, 33121, 107515, 9174, 26854, 105879, 37271, 18904, 15682, 126120, 96455, 112535, 113351, 119049, 30512, 111017, 30369, 41007, 30512, 126362, 78434, 198, 14711, 102362, 15682, 112832, 15024, 32977, 113351, 119049, 15682, 111017, 115032, 198, 126843, 85707, 62004, 20230, 113351, 119049, 107118, 33334, 113351, 16144, 25580, 110366, 117083, 113351, 74245, 119049, 19732, 109203, 16144, 105494, 117083, 113351, 7741, 250, 119049, 20230, 17620, 32149, 106824, 61689, 198, 113351, 74245 ]
[ 119049, 102052, 101828, 101911, 102677, 102057, 99, 16144, 101911, 19732, 109203, 16144, 101911, 29295, 17701, 76947, 102532, 5486, 27929, 32977, 27929, 32977, 21, 59739, 20230, 17620, 32149, 106824, 61689, 198, 77181, 104405, 127564, 58426, 111017, 115032, 113351, 119049, 125334, 38144, 109749, 104865, 198, 14711, 104037, 110, 103468, 113351, 119049, 30512, 46034, 109156, 104028, 41007, 198, 827, 220, 20713, 13, 33014, 121496, 57942, 103, 30512, 102936, 19732, 17663, 198, 113351, 119049, 15682, 111017, 115032, 29295, 91774, 119841, 114667, 112028, 59739, 20230, 13177, 33014, 121496, 57942, 103, 10646, 115991, 33541, 198, 113351, 119049, 120938, 20230, 88399, 239, 16995, 121496, 57942, 103, 29295, 110498, 103836, 103846, 111017, 115032, 113351, 119049, 29295, 91774, 119841, 16144, 38641, 198, 77181, 126120, 96455, 112535, 33014, 121496, 57942, 103, 30512, 102936, 19732, 17663, 41007, 30512, 126362, 78434, 198, 32335, 32977, 126120, 96455, 109904, 104468, 102456, 30926, 44416, 48249, 123410, 100909, 38641, 1811, 33420, 106382, 71493, 42634, 102540, 29295, 99046, 224, 18655, 71493, 42634, 102540, 30512, 17905, 18904, 104984, 111006, 29295, 121496, 57942, 103, 30512, 114887, 123307, 54926, 101200, 115717, 5486, 33014, 121496, 57942, 103, 15682, 120175, 100481, 50834, 33541, 9174, 104654, 107809, 102052, 125764, 53953, 16556, 36117, 95, 106824, 108086, 5486, 105994, 29295, 91763, 103836, 126036, 71493, 42634, 102540, 30512, 99046, 224, 18655, 39926, 103801, 103836, 126465, 29295, 114652, 57903, 33541, 198, 126843, 105994, 29295, 103572, 38574, 67645, 103171, 53953, 30512, 125764, 100481, 38144, 5486, 67645, 16144, 120264, 16144, 71493, 42634, 102540, 30512, 9080, 40053, 16556, 99046, 224, 18655, 103792, 104865, 30512, 114140, 39926, 64121, 17129, 109954, 198, 53900, 5486, 15308, 226, 113598, 72238, 32977, 27384, 30926, 117084, 50834, 33541, 198, 71493, 42634, 102540, 108176, 104468, 121496, 105284, 5486, 47307, 115695, 29220, 105284, 5486, 163, 65620, 53610, 33208, 53953, 119627, 51330, 117591, 16144, 47307, 115695, 29220, 105284, 15682, 119049, 107079, 126694, 30369, 113009, 109215, 26854, 15308, 226, 113598, 72238, 38641, 198, 26854, 105879, 121496, 105284, 71289, 5486, 163, 65620, 53610, 33208, 53953, 30512, 103851, 58942, 62004, 20230, 21105, 97, 59739, 47307, 115695, 29220, 105284, 30512, 21105, 96, 107277, 99046, 224, 30369, 118733, 119049, 107079, 30512, 21105, 96, 107277, 19732, 19967, 31431, 126120, 96455, 112535, 33014, 121496, 57942, 103, 30512, 102936, 19732, 17663, 30926, 29295, 125545, 198, 827, 220, 25963, 13, 113351, 119049, 16144, 119049, 107079, 29295, 31809, 65316, 198, 113351, 119049, 15682, 24186, 104680, 111017, 106824, 61689, 29295, 5486, 127177, 34048, 25129, 19732, 112361, 104466, 112258, 249, 105262, 30926, 16556, 119049, 117178, 27384, 124545, 30926, 29295, 125545, 198, 119049, 117178, 27384, 124545, 30926, 16556, 105755, 47884, 121381, 111842, 111017, 33121, 5486, 111006, 20230, 102321, 33121, 126172, 115737, 31431, 33541, 198, 77181, 67645, 120950, 20251, 44971, 118928, 94550, 29295, 109215, 32149, 122984, 109768, 50834, 33541, 198, 32335, 32977, 27384, 102769, 26854, 30926, 15682, 13177, 109972, 111600, 118587, 37689, 109375, 54926, 30926, 38641, 198, 113351, 119049, 15682, 109972, 111600, 119707, 76622, 20230, 47884, 16995, 119049, 107079, 16556, 5486, 29220, 93488, 78459, 71289, 113351, 119049, 117401, 30512, 120837, 102780, 104309, 20230, 48634, 29295, 17701, 76947, 114732, 107803, 29295, 43240, 47884, 5486, 48249, 98220, 109753, 103296, 71289, 100472, 103306, 32977, 113351, 119049, 126036, 127177, 34048, 25129, 29295, 127814, 33121, 100481, 38144, 48249, 98220, 102677, 30926, 32977, 83747, 103470, 124897, 198, 21105, 96, 107277, 19732, 113351, 119049, 20230, 109972, 111600, 29295, 32149, 32149, 103836, 32149, 30512, 114140, 21105, 103, 29295, 33503, 23039, 30297, 19732, 105755, 126521, 20251, 44971, 118928, 94550, 115717, 33541, 198, 53900, 5486, 32149, 105784, 109972, 111600, 105352, 78698, 105262, 109215, 115991, 33541, 1811, 119049, 117178, 27384, 102677, 114181, 28542, 77181, 109972, 111600, 29295, 126574, 20251, 44971, 118928, 94550, 29295, 126521, 19732, 116216, 61689, 29295, 5486, 39135, 104680, 26854, 110456, 106266, 30512, 58318, 105262, 30926, 32977, 27384, 30926, 117084, 50834, 33541, 198, 89046, 106307, 16556, 78250, 18904, 39607, 108608, 109972, 111600, 30512, 58318, 107290, 5486, 39135, 104680, 26854, 104091, 118146, 108167, 17701, 104028, 30926, 16556, 126120, 96455, 114652, 119049, 117178, 27384, 124545, 30926, 29295, 125545, 198, 109972, 111600, 30512, 104721, 105262, 30926, 109853, 77219, 116446, 61689, 105879, 121846, 116446, 64121, 38144, 72315, 80129, 198, 14711, 220, 123011, 62004, 198, 64121, 103171, 29295, 107063, 100, 104028, 113351, 119049, 119627, 119448, 16995, 119049, 107079, 111769, 103846, 112825, 110904, 102052, 111006, 20230, 102321, 106824, 120700, 107515, 198, 26854, 105879, 21105, 96, 107277, 19732, 33014, 121496, 57942, 103, 30512, 102936, 19732, 15024, 5486, 34226, 20230, 119049, 117178, 27384, 30512, 124545, 30926, 16556, 126120, 96455, 112535, 113351, 119049, 30512, 111017, 30369, 30926, 29295, 125545, 198, 50834, 43514, 127842, 106548, 103214, 64121, 30512, 53283, 76947, 20251, 44971, 118928, 94550, 117824, 16995, 5486, 22649, 101067, 16144, 111006, 30512, 46034, 109156, 33121, 17129, 109954, 106609, 77693, 77181, 37271, 18904, 15682, 51330, 115195, 16556, 56040, 128001, 128000, 567, 113170, 23039, 198, 567, 94632, 29220, 25197, 76428, 104272, 10110, 30591, 47884, 16995, 100204, 124304, 25827, 23954, 17620, 104770, 5232, 964, 11883, 102158, 198, 13177, 115181, 59712, 122635, 66383, 112844, 115552, 16144, 83947, 110904, 102158, 16556, 121453, 106045, 14167, 100, 65854, 30512, 122635, 54926, 102677, 100909, 9174, 109198, 17701, 91774, 104526, 65854, 113115, 39926, 109198, 107691, 71289, 102782, 15024, 121423, 16144, 39880, 122131, 30512, 125119, 107726, 121453, 106045, 14167, 100, 65854, 112649, 58942, 100481, 47884, 124122, 107420, 64810, 22398, 9174, 13177, 44, 36121, 117503, 13177, 32, 10646, 29295, 51330, 39880, 29220, 25197, 76428, 104272, 103195, 9174, 567, 94632, 122086, 22398, 106596, 10110, 30591, 47884, 72342, 17663, 104369, 25827, 72342, 50834, 23954, 39880, 122086, 22398, 50338, 98871, 107118, 5486, 19360, 116229, 10110, 111234, 52884, 122481, 7705, 111363, 107740, 30046, 10110, 108152, 38248, 114, 120732, 120824, 99397, 123259, 114172, 10110, 39880, 122086, 22398, 77750, 7705, 30512, 50338, 98871, 54926, 100909, 118855, 15682, 5486, 106596, 123410, 103223, 64178, 16144, 106592, 64467, 17663, 9174, 567, 105729, 16073, 109054, 45923, 64810, 64178, 22398, 10110, 16995, 25827, 65316, 67645, 72342, 11972, 30369, 17663, 23954, 14167, 100, 65854, 30512, 120824, 99397, 54926, 16144, 126194, 5486, 61337, 32943, 55031, 117384, 71289, 8561, 5486, 4886, 50667, 16144, 66776, 120824, 99397, 46034, 38574, 30512, 33035, 39926, 23039, 30297, 112167, 101275, 112415, 16144, 100909, 1811, 91774, 121423, 16144, 101182, 14167, 100, 65854, 71289, 33122, 111813, 30512, 102404, 19012, 246, 54926, 106592, 113173, 103306, 61689, 1811, 108134, 104908, 117824, 16995, 106272, 108948, 65854, 103826, 16144, 62903, 108941, 16073, 14, 126913, 30046, 108134, 30512, 102178, 111665, 15024, 5486, 111681, 104482, 71289, 78683, 106240, 16144, 114140, 117824, 107462, 47884, 19967, 101275, 121711, 33541, 9174, 112167, 101275, 103306, 48915, 34048, 117158, 30369, 126465, 15682, 83747, 100604, 100909, 55031, 5486, 32943, 114731, 112167, 101275, 107173, 117952, 33121, 33541, 9174, 567, 105729, 118804, 33710, 76739, 16073, 60868, 108941, 38248, 109, 103906, 94550, 10110, 16995, 25827, 105104, 30369, 58942, 25827, 30813, 11972, 17129, 11972, 107441, 2243, 225, 25827, 104699, 23954, 17620, 104770, 5232, 68759, 38248, 109, 103906, 94550, 11883, 102158, 198, 114435, 29295, 50, 2507, 71289, 52884, 77750, 16556, 104195, 16995, 117375, 48634, 114792, 59739, 13177, 76171, 52591, 33710, 76739, 16073, 118718, 118587, 76706, 11883, 15024, 33420, 106382, 112919, 109198, 107691, 123120, 20230, 117375, 30512, 58318, 105262, 68759, 38248, 109, 103906, 94550, 46034, 25333, 38641, 1811, 114435, 29295, 109467, 33420, 106382, 30046, 113115, 39926, 39850, 26269, 64810, 78767, 30512, 102404, 22023, 54926, 123532, 37507, 25287, 16144, 68759, 38248, 109, 103906, 94550, 19732, 125261, 15024, 5486, 76171, 52591, 33710, 76739, 16073, 118718, 29295, 116907, 16144, 103984, 28542, 30512, 32977, 19732, 20230, 47260, 119263, 78683, 103906, 121410, 20230, 32335, 109431, 33208, 103646, 108134, 102404, 22023, 123410, 100909, 112212, 5486, 8239, 114503, 112535, 47043, 71289, 52884, 116670, 113115, 54926, 104736, 53283, 71289, 109198, 107691, 37689, 111654, 16144, 70141, 17905, 30512, 103350, 102321, 54926, 105908, 108608, 46034, 25333, 103306, 26130, 30832, 116216, 61689, 9174, 567, 107748, 52414, 37823, 112694, 104163, 103202, 32335, 109431, 33208, 10110, 58942, 127842, 31431, 105104, 2243, 231, 38248, 222, 65316, 38144, 50834, 32149, 23954, 36, 3873, 107118, 5486, 76739, 52414, 37823, 112694, 104163, 103202, 32335, 109431, 33208, 10110, 5998, 3459, 58839, 102849, 16144, 105838, 25666, 16556, 108948, 99397, 40862, 72342, 108526, 103202, 71289, 33334, 102782, 104526, 9458, 125104, 108526, 103202, 16144, 17701, 123457, 39880, 57207, 71634, 54926, 100909, 112212, 5486, 108968, 16325, 106627, 110645, 30512, 117355, 114485, 107726, 5486, 105184, 103350, 20230, 102782, 104526, 30512, 47406, 35287, 120837, 33503, 30297, 10110, 109713, 66953, 78767, 78205, 16073, 102416, 106839, 47884, 7705, 102923, 105226, 38641, 1811, 108936, 112535, 117119, 32977, 103359, 105226, 30512, 102923, 109768, 100604, 108526, 103202, 77181, 5486, 110382, 16556, 103664, 1399, 4, 102944, 108152, 38248, 114, 11972, 29295, 106627, 110645, 127145, 9174, 85701, 15682, 5486, 108526, 103202, 111831, 16144, 17620, 107277, 109669, 33503, 30813, 71289, 5486, 114140, 55723, 28190, 113245, 76739, 109554, 52563, 111848, 88356, 17701, 48634, 104309, 5486, 71634, 108744, 30512, 58318, 105262, 105933, 76739, 109554, 29295, 118430, 102404, 20230, 102404, 21990, 54926, 118733, 17701, 123457, 101790, 99, 107436, 106627, 110645, 39926, 17129, 30297, 105908, 36668, 26854, 113385, 38641, 9174, 36, 3873, 15682, 5486, 108526, 103202, 16144, 108152, 38248, 114, 91482, 37823, 103906, 30512, 35083, 38574, 20230, 109415, 30369, 118733, 5486, 108526, 103202, 103296, 28713, 67645, 31431, 100815, 102334, 102494, 78459, 102832, 38248, 115, 78205, 113883, 126574, 108152, 38248, 114, 11972, 30512, 105184, 103350, 20230, 109713, 66953, 78767, 78205, 16073, 102416, 102971, 102802, 59739, 105784, 102923, 105226, 103306, 122603, 16995, 8239, 114503, 30512, 102404, 127327, 78434, 9174, 567, 119653, 23039, 198, 567, 108350, 116388, 123141, 10110, 50834, 32149, 25827, 15024, 17663, 38144, 104004, 23954, 17620, 104770, 5232, 964, 11883, 102158, 198, 75146, 116388, 123141, 15682, 5486, 114435, 29295, 91482, 76428, 102750, 22398, 117824, 107462, 47884, 104983, 20230, 102831, 116388, 117282, 121101, 16144, 123141, 16144, 106592, 64467, 78434, 9174, 118789, 9554, 102052, 5486, 114435, 29295, 105107, 25446, 16144, 21990, 106518, 56040, 122626, 5486, 102404, 26130, 9458, 46456, 124237, 16995, 9458, 108446, 25446, 9458, 109311, 32018, 102181, 102404, 23039, 16144, 121101, 105494, 102677, 100909, 115717, 33541, 9174, 567, 106793, 100, 65854, 40452, 10110, 22957, 50834, 101668, 47884, 32149, 25827, 31431, 23954, 17620, 104770, 5232, 91482, 76428, 102750, 22398, 11883, 102158, 198, 14167, 100, 65854, 16144, 108134, 10110, 101987, 32938, 5486, 105514, 13372, 5486, 8107, 106036, 95, 5486, 117384, 122532, 104309, 7705, 71289, 109198, 17701, 123259, 114172, 104309, 30512, 40452, 15024, 5486, 106613, 112167, 102669, 105838, 71289, 47043, 122401, 104309, 20230, 76706, 32149, 17663, 100909, 9174, 14167, 100, 65854, 40452, 102052, 5486, 33, 998, 33, 16144, 14167, 100, 65854, 40452, 19732, 33, 998, 34, 16144, 14167, 100, 65854, 40452, 107407, 29295, 5486, 33, 998, 33, 102052, 114435, 108134, 29295, 59614, 116156, 117282, 9174, 567, 106793, 100, 65854, 40452, 123141, 10110, 22957, 50834, 101668, 47884, 32149, 25827, 31431, 15024, 17663, 38144, 104004, 23954, 14167, 100, 65854, 40452, 16144, 124122, 51330, 102741, 112508, 15682, 44616, 72512, 33907, 9744, 8, 19732, 127173, 106824, 61689, 1811, 44616, 77181, 5486, 14167, 100, 65854, 16144, 109198, 17701, 71289, 107740, 16144, 123259, 114172, 5486, 64810, 101198, 118567, 111363, 110284, 71289, 127950, 38093, 111363, 37507, 75267, 5486, 112167, 101275, 120824, 99397, 123259, 114172, 71289, 107202, 40474, 9458, 37689, 91774, 123160, 14167, 100, 65854, 16144, 112415, 123259, 114172, 71289, 5486, 8107, 106036, 95, 9458, 34171, 103283, 10110, 68408, 102494, 111134, 106384, 48552, 7705, 71289, 119208, 10110, 121714, 111134, 106384, 48552, 65459, 34171, 35083, 71289, 53901, 64121, 10110, 109054, 47260, 111134, 106384, 48552, 7705, 123160, 14167, 100, 65854, 108134, 32977, 40452, 78434, 9174, 567, 107879, 234, 112167, 57207, 119263, 44971, 38248, 115, 78205, 16073, 114567, 10110, 106613, 112167, 57207, 119263, 44971, 38248, 115, 78205, 16073, 114567, 23954, 17620, 104770, 5232, 106613, 112167, 198, 106613, 112167, 57207, 119263, 44971, 38248, 115, 78205, 16073, 114567, 107118, 5486, 114567, 30512, 33035, 100204, 38144, 5486, 106613, 112167, 30046, 20230, 109215, 26854, 106613, 111186, 71289, 53283, 109375, 30512, 48864, 104369, 105908, 108608, 9174, 102321, 103350, 102616, 77181, 118765, 106081, 64121, 29295, 103082, 5486, 21388, 113529, 5486, 105987, 106518, 54926, 105908, 108608, 105879, 5486, 110924, 55031, 17039, 102800, 13177, 95221, 109669, 50834, 118587, 50928, 30369, 100909, 108608, 9174, 106691, 109904, 102944, 103306, 15682, 127359, 102750, 76428, 73590, 114567, 9458, 91482, 78525, 71634, 103202, 102832, 38248, 115, 48552, 9458, 20251, 108337, 33710, 114567, 104309, 107407, 9174, 567, 68042, 108304, 119495, 68759, 38248, 109, 103906, 94550, 10110, 69847, 38144, 25827, 59739, 17129, 11972, 107441, 2243, 225, 25827, 104699, 23954, 47260, 108304, 119495, 68759, 38248, 109, 103906, 94550, 107118, 5486, 108152, 38248, 114, 115247, 107734, 20230, 80195, 59739, 47260, 108304, 119495, 16144, 114835, 9458, 102404, 22023, 16556, 37026, 61337, 16144, 104774, 16073, 30512, 122635, 15024, 5486, 124042, 9554, 102052, 47043, 9458, 60868, 113649, 117718, 109198, 17701, 30512, 120837, 33503, 30297, 102677, 68759, 38248, 109, 103906, 94550, 46034, 25333, 38641, 9174, 19361, 105576, 26854, 108134, 30512, 102404, 22023, 15024, 106307, 105784, 100909, 113468, 109467, 109904, 62903, 25005, 107, 65575, 16556, 103470, 111243, 97518, 89046, 54926, 62903, 25005, 107, 65575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119049, 102052, 101828, 101911, 102677, 102057, 99, 16144, 101911, 19732, 109203, 16144, 101911, 29295, 17701, 76947, 102532, 5486, 27929, 32977, 27929, 32977, 21, 59739, 20230, 17620, 32149, 106824, 61689, 198, 77181, 104405, 127564, 58426, 111017, 115032, 113351, 119049, 125334, 38144, 109749, 104865, 198, 14711, 104037, 110, 103468, 113351, 119049, 30512, 46034, 109156, 104028, 41007, 198, 827, 220, 20713, 13, 33014, 121496, 57942, 103, 30512, 102936, 19732, 17663, 198, 113351, 119049, 15682, 111017, 115032, 29295, 91774, 119841, 114667, 112028, 59739, 20230, 13177, 33014, 121496, 57942, 103, 10646, 115991, 33541, 198, 113351, 119049, 120938, 20230, 88399, 239, 16995, 121496, 57942, 103, 29295, 110498, 103836, 103846, 111017, 115032, 113351, 119049, 29295, 91774, 119841, 16144, 38641, 198, 77181, 126120, 96455, 112535, 33014, 121496, 57942, 103, 30512, 102936, 19732, 17663, 41007, 30512, 126362, 78434, 198, 32335, 32977, 126120, 96455, 109904, 104468, 102456, 30926, 44416, 48249, 123410, 100909, 38641, 1811, 33420, 106382, 71493, 42634, 102540, 29295, 99046, 224, 18655, 71493, 42634, 102540, 30512, 17905, 18904, 104984, 111006, 29295, 121496, 57942, 103, 30512, 114887, 123307, 54926, 101200, 115717, 5486, 33014, 121496, 57942, 103, 15682, 120175, 100481, 50834, 33541, 9174, 104654, 107809, 102052, 125764, 53953, 16556, 36117, 95, 106824, 108086, 5486, 105994, 29295, 91763, 103836, 126036, 71493, 42634, 102540, 30512, 99046, 224, 18655, 39926, 103801, 103836, 126465, 29295, 114652, 57903, 33541, 198, 126843, 105994, 29295, 103572, 38574, 67645, 103171, 53953, 30512, 125764, 100481, 38144, 5486, 67645, 16144, 120264, 16144, 71493, 42634, 102540, 30512, 9080, 40053, 16556, 99046, 224, 18655, 103792, 104865, 30512, 114140, 39926, 64121, 17129, 109954, 198, 53900, 5486, 15308, 226, 113598, 72238, 32977, 27384, 30926, 117084, 50834, 33541, 198, 71493, 42634, 102540, 108176, 104468, 121496, 105284, 5486, 47307, 115695, 29220, 105284, 5486, 163, 65620, 53610, 33208, 53953, 119627, 51330, 117591, 16144, 47307, 115695, 29220, 105284, 15682, 119049, 107079, 126694, 30369, 113009, 109215, 26854, 15308, 226, 113598, 72238, 38641, 198, 26854, 105879, 121496, 105284, 71289, 5486, 163, 65620, 53610, 33208, 53953, 30512, 103851, 58942, 62004, 20230, 21105, 97, 59739, 47307, 115695, 29220, 105284, 30512, 21105, 96, 107277, 99046, 224, 30369, 118733, 119049, 107079, 30512, 21105, 96, 107277, 19732, 19967, 31431, 126120, 96455, 112535, 33014, 121496, 57942, 103, 30512, 102936, 19732, 17663, 30926, 29295, 125545, 198, 827, 220, 25963, 13, 113351, 119049, 16144, 119049, 107079, 29295, 31809, 65316, 198, 113351, 119049, 15682, 24186, 104680, 111017, 106824, 61689, 29295, 5486, 127177, 34048, 25129, 19732, 112361, 104466, 112258, 249, 105262, 30926, 16556, 119049, 117178, 27384, 124545, 30926, 29295, 125545, 198, 119049, 117178, 27384, 124545, 30926, 16556, 105755, 47884, 121381, 111842, 111017, 33121, 5486, 111006, 20230, 102321, 33121, 126172, 115737, 31431, 33541, 198, 77181, 67645, 120950, 20251, 44971, 118928, 94550, 29295, 109215, 32149, 122984, 109768, 50834, 33541, 198, 32335, 32977, 27384, 102769, 26854, 30926, 15682, 13177, 109972, 111600, 118587, 37689, 109375, 54926, 30926, 38641, 198, 113351, 119049, 15682, 109972, 111600, 119707, 76622, 20230, 47884, 16995, 119049, 107079, 16556, 5486, 29220, 93488, 78459, 71289, 113351, 119049, 117401, 30512, 120837, 102780, 104309, 20230, 48634, 29295, 17701, 76947, 114732, 107803, 29295, 43240, 47884, 5486, 48249, 98220, 109753, 103296, 71289, 100472, 103306, 32977, 113351, 119049, 126036, 127177, 34048, 25129, 29295, 127814, 33121, 100481, 38144, 48249, 98220, 102677, 30926, 32977, 83747, 103470, 124897, 198, 21105, 96, 107277, 19732, 113351, 119049, 20230, 109972, 111600, 29295, 32149, 32149, 103836, 32149, 30512, 114140, 21105, 103, 29295, 33503, 23039, 30297, 19732, 105755, 126521, 20251, 44971, 118928, 94550, 115717, 33541, 198, 53900, 5486, 32149, 105784, 109972, 111600, 105352, 78698, 105262, 109215, 115991, 33541, 1811, 119049, 117178, 27384, 102677, 114181, 28542, 77181, 109972, 111600, 29295, 126574, 20251, 44971, 118928, 94550, 29295, 126521, 19732, 116216, 61689, 29295, 5486, 39135, 104680, 26854, 110456, 106266, 30512, 58318, 105262, 30926, 32977, 27384, 30926, 117084, 50834, 33541, 198, 89046, 106307, 16556, 78250, 18904, 39607, 108608, 109972, 111600, 30512, 58318, 107290, 5486, 39135, 104680, 26854, 104091, 118146, 108167, 17701, 104028, 30926, 16556, 126120, 96455, 114652, 119049, 117178, 27384, 124545, 30926, 29295, 125545, 198, 109972, 111600, 30512, 104721, 105262, 30926, 109853, 77219, 116446, 61689, 105879, 121846, 116446, 64121, 38144, 72315, 80129, 198, 14711, 220, 123011, 62004, 198, 64121, 103171, 29295, 107063, 100, 104028, 113351, 119049, 119627, 119448, 16995, 119049, 107079, 111769, 103846, 112825, 110904, 102052, 111006, 20230, 102321, 106824, 120700, 107515, 198, 26854, 105879, 21105, 96, 107277, 19732, 33014, 121496, 57942, 103, 30512, 102936, 19732, 15024, 5486, 34226, 20230, 119049, 117178, 27384, 30512, 124545, 30926, 16556, 126120, 96455, 112535, 113351, 119049, 30512, 111017, 30369, 30926, 29295, 125545, 198, 50834, 43514, 127842, 106548, 103214, 64121, 30512, 53283, 76947, 20251, 44971, 118928, 94550, 117824, 16995, 5486, 22649, 101067, 16144, 111006, 30512, 46034, 109156, 33121, 17129, 109954, 106609, 77693, 77181, 37271, 18904, 15682, 51330, 115195, 16556, 56040, 128001, 128000, 567, 113170, 23039, 198, 567, 94632, 29220, 25197, 76428, 104272, 10110, 30591, 47884, 16995, 100204, 124304, 25827, 23954, 17620, 104770, 5232, 964, 11883, 102158, 198, 13177, 115181, 59712, 122635, 66383, 112844, 115552, 16144, 83947, 110904, 102158, 16556, 121453, 106045, 14167, 100, 65854, 30512, 122635, 54926, 102677, 100909, 9174, 109198, 17701, 91774, 104526, 65854, 113115, 39926, 109198, 107691, 71289, 102782, 15024, 121423, 16144, 39880, 122131, 30512, 125119, 107726, 121453, 106045, 14167, 100, 65854, 112649, 58942, 100481, 47884, 124122, 107420, 64810, 22398, 9174, 13177, 44, 36121, 117503, 13177, 32, 10646, 29295, 51330, 39880, 29220, 25197, 76428, 104272, 103195, 9174, 567, 94632, 122086, 22398, 106596, 10110, 30591, 47884, 72342, 17663, 104369, 25827, 72342, 50834, 23954, 39880, 122086, 22398, 50338, 98871, 107118, 5486, 19360, 116229, 10110, 111234, 52884, 122481, 7705, 111363, 107740, 30046, 10110, 108152, 38248, 114, 120732, 120824, 99397, 123259, 114172, 10110, 39880, 122086, 22398, 77750, 7705, 30512, 50338, 98871, 54926, 100909, 118855, 15682, 5486, 106596, 123410, 103223, 64178, 16144, 106592, 64467, 17663, 9174, 567, 105729, 16073, 109054, 45923, 64810, 64178, 22398, 10110, 16995, 25827, 65316, 67645, 72342, 11972, 30369, 17663, 23954, 14167, 100, 65854, 30512, 120824, 99397, 54926, 16144, 126194, 5486, 61337, 32943, 55031, 117384, 71289, 8561, 5486, 4886, 50667, 16144, 66776, 120824, 99397, 46034, 38574, 30512, 33035, 39926, 23039, 30297, 112167, 101275, 112415, 16144, 100909, 1811, 91774, 121423, 16144, 101182, 14167, 100, 65854, 71289, 33122, 111813, 30512, 102404, 19012, 246, 54926, 106592, 113173, 103306, 61689, 1811, 108134, 104908, 117824, 16995, 106272, 108948, 65854, 103826, 16144, 62903, 108941, 16073, 14, 126913, 30046, 108134, 30512, 102178, 111665, 15024, 5486, 111681, 104482, 71289, 78683, 106240, 16144, 114140, 117824, 107462, 47884, 19967, 101275, 121711, 33541, 9174, 112167, 101275, 103306, 48915, 34048, 117158, 30369, 126465, 15682, 83747, 100604, 100909, 55031, 5486, 32943, 114731, 112167, 101275, 107173, 117952, 33121, 33541, 9174, 567, 105729, 118804, 33710, 76739, 16073, 60868, 108941, 38248, 109, 103906, 94550, 10110, 16995, 25827, 105104, 30369, 58942, 25827, 30813, 11972, 17129, 11972, 107441, 2243, 225, 25827, 104699, 23954, 17620, 104770, 5232, 68759, 38248, 109, 103906, 94550, 11883, 102158, 198, 114435, 29295, 50, 2507, 71289, 52884, 77750, 16556, 104195, 16995, 117375, 48634, 114792, 59739, 13177, 76171, 52591, 33710, 76739, 16073, 118718, 118587, 76706, 11883, 15024, 33420, 106382, 112919, 109198, 107691, 123120, 20230, 117375, 30512, 58318, 105262, 68759, 38248, 109, 103906, 94550, 46034, 25333, 38641, 1811, 114435, 29295, 109467, 33420, 106382, 30046, 113115, 39926, 39850, 26269, 64810, 78767, 30512, 102404, 22023, 54926, 123532, 37507, 25287, 16144, 68759, 38248, 109, 103906, 94550, 19732, 125261, 15024, 5486, 76171, 52591, 33710, 76739, 16073, 118718, 29295, 116907, 16144, 103984, 28542, 30512, 32977, 19732, 20230, 47260, 119263, 78683, 103906, 121410, 20230, 32335, 109431, 33208, 103646, 108134, 102404, 22023, 123410, 100909, 112212, 5486, 8239, 114503, 112535, 47043, 71289, 52884, 116670, 113115, 54926, 104736, 53283, 71289, 109198, 107691, 37689, 111654, 16144, 70141, 17905, 30512, 103350, 102321, 54926, 105908, 108608, 46034, 25333, 103306, 26130, 30832, 116216, 61689, 9174, 567, 107748, 52414, 37823, 112694, 104163, 103202, 32335, 109431, 33208, 10110, 58942, 127842, 31431, 105104, 2243, 231, 38248, 222, 65316, 38144, 50834, 32149, 23954, 36, 3873, 107118, 5486, 76739, 52414, 37823, 112694, 104163, 103202, 32335, 109431, 33208, 10110, 5998, 3459, 58839, 102849, 16144, 105838, 25666, 16556, 108948, 99397, 40862, 72342, 108526, 103202, 71289, 33334, 102782, 104526, 9458, 125104, 108526, 103202, 16144, 17701, 123457, 39880, 57207, 71634, 54926, 100909, 112212, 5486, 108968, 16325, 106627, 110645, 30512, 117355, 114485, 107726, 5486, 105184, 103350, 20230, 102782, 104526, 30512, 47406, 35287, 120837, 33503, 30297, 10110, 109713, 66953, 78767, 78205, 16073, 102416, 106839, 47884, 7705, 102923, 105226, 38641, 1811, 108936, 112535, 117119, 32977, 103359, 105226, 30512, 102923, 109768, 100604, 108526, 103202, 77181, 5486, 110382, 16556, 103664, 1399, 4, 102944, 108152, 38248, 114, 11972, 29295, 106627, 110645, 127145, 9174, 85701, 15682, 5486, 108526, 103202, 111831, 16144, 17620, 107277, 109669, 33503, 30813, 71289, 5486, 114140, 55723, 28190, 113245, 76739, 109554, 52563, 111848, 88356, 17701, 48634, 104309, 5486, 71634, 108744, 30512, 58318, 105262, 105933, 76739, 109554, 29295, 118430, 102404, 20230, 102404, 21990, 54926, 118733, 17701, 123457, 101790, 99, 107436, 106627, 110645, 39926, 17129, 30297, 105908, 36668, 26854, 113385, 38641, 9174, 36, 3873, 15682, 5486, 108526, 103202, 16144, 108152, 38248, 114, 91482, 37823, 103906, 30512, 35083, 38574, 20230, 109415, 30369, 118733, 5486, 108526, 103202, 103296, 28713, 67645, 31431, 100815, 102334, 102494, 78459, 102832, 38248, 115, 78205, 113883, 126574, 108152, 38248, 114, 11972, 30512, 105184, 103350, 20230, 109713, 66953, 78767, 78205, 16073, 102416, 102971, 102802, 59739, 105784, 102923, 105226, 103306, 122603, 16995, 8239, 114503, 30512, 102404, 127327, 78434, 9174, 567, 119653, 23039, 198, 567, 108350, 116388, 123141, 10110, 50834, 32149, 25827, 15024, 17663, 38144, 104004, 23954, 17620, 104770, 5232, 964, 11883, 102158, 198, 75146, 116388, 123141, 15682, 5486, 114435, 29295, 91482, 76428, 102750, 22398, 117824, 107462, 47884, 104983, 20230, 102831, 116388, 117282, 121101, 16144, 123141, 16144, 106592, 64467, 78434, 9174, 118789, 9554, 102052, 5486, 114435, 29295, 105107, 25446, 16144, 21990, 106518, 56040, 122626, 5486, 102404, 26130, 9458, 46456, 124237, 16995, 9458, 108446, 25446, 9458, 109311, 32018, 102181, 102404, 23039, 16144, 121101, 105494, 102677, 100909, 115717, 33541, 9174, 567, 106793, 100, 65854, 40452, 10110, 22957, 50834, 101668, 47884, 32149, 25827, 31431, 23954, 17620, 104770, 5232, 91482, 76428, 102750, 22398, 11883, 102158, 198, 14167, 100, 65854, 16144, 108134, 10110, 101987, 32938, 5486, 105514, 13372, 5486, 8107, 106036, 95, 5486, 117384, 122532, 104309, 7705, 71289, 109198, 17701, 123259, 114172, 104309, 30512, 40452, 15024, 5486, 106613, 112167, 102669, 105838, 71289, 47043, 122401, 104309, 20230, 76706, 32149, 17663, 100909, 9174, 14167, 100, 65854, 40452, 102052, 5486, 33, 998, 33, 16144, 14167, 100, 65854, 40452, 19732, 33, 998, 34, 16144, 14167, 100, 65854, 40452, 107407, 29295, 5486, 33, 998, 33, 102052, 114435, 108134, 29295, 59614, 116156, 117282, 9174, 567, 106793, 100, 65854, 40452, 123141, 10110, 22957, 50834, 101668, 47884, 32149, 25827, 31431, 15024, 17663, 38144, 104004, 23954, 14167, 100, 65854, 40452, 16144, 124122, 51330, 102741, 112508, 15682, 44616, 72512, 33907, 9744, 8, 19732, 127173, 106824, 61689, 1811, 44616, 77181, 5486, 14167, 100, 65854, 16144, 109198, 17701, 71289, 107740, 16144, 123259, 114172, 5486, 64810, 101198, 118567, 111363, 110284, 71289, 127950, 38093, 111363, 37507, 75267, 5486, 112167, 101275, 120824, 99397, 123259, 114172, 71289, 107202, 40474, 9458, 37689, 91774, 123160, 14167, 100, 65854, 16144, 112415, 123259, 114172, 71289, 5486, 8107, 106036, 95, 9458, 34171, 103283, 10110, 68408, 102494, 111134, 106384, 48552, 7705, 71289, 119208, 10110, 121714, 111134, 106384, 48552, 65459, 34171, 35083, 71289, 53901, 64121, 10110, 109054, 47260, 111134, 106384, 48552, 7705, 123160, 14167, 100, 65854, 108134, 32977, 40452, 78434, 9174, 567, 107879, 234, 112167, 57207, 119263, 44971, 38248, 115, 78205, 16073, 114567, 10110, 106613, 112167, 57207, 119263, 44971, 38248, 115, 78205, 16073, 114567, 23954, 17620, 104770, 5232, 106613, 112167, 198, 106613, 112167, 57207, 119263, 44971, 38248, 115, 78205, 16073, 114567, 107118, 5486, 114567, 30512, 33035, 100204, 38144, 5486, 106613, 112167, 30046, 20230, 109215, 26854, 106613, 111186, 71289, 53283, 109375, 30512, 48864, 104369, 105908, 108608, 9174, 102321, 103350, 102616, 77181, 118765, 106081, 64121, 29295, 103082, 5486, 21388, 113529, 5486, 105987, 106518, 54926, 105908, 108608, 105879, 5486, 110924, 55031, 17039, 102800, 13177, 95221, 109669, 50834, 118587, 50928, 30369, 100909, 108608, 9174, 106691, 109904, 102944, 103306, 15682, 127359, 102750, 76428, 73590, 114567, 9458, 91482, 78525, 71634, 103202, 102832, 38248, 115, 48552, 9458, 20251, 108337, 33710, 114567, 104309, 107407, 9174, 567, 68042, 108304, 119495, 68759, 38248, 109, 103906, 94550, 10110, 69847, 38144, 25827, 59739, 17129, 11972, 107441, 2243, 225, 25827, 104699, 23954, 47260, 108304, 119495, 68759, 38248, 109, 103906, 94550, 107118, 5486, 108152, 38248, 114, 115247, 107734, 20230, 80195, 59739, 47260, 108304, 119495, 16144, 114835, 9458, 102404, 22023, 16556, 37026, 61337, 16144, 104774, 16073, 30512, 122635, 15024, 5486, 124042, 9554, 102052, 47043, 9458, 60868, 113649, 117718, 109198, 17701, 30512, 120837, 33503, 30297, 102677, 68759, 38248, 109, 103906, 94550, 46034, 25333, 38641, 9174, 19361, 105576, 26854, 108134, 30512, 102404, 22023, 15024, 106307, 105784, 100909, 113468, 109467, 109904, 62903, 25005, 107, 65575, 16556, 103470, 111243, 97518, 89046, 54926, 62903, 25005, 107, 65575 ]
[ 71289, 91482, 48552, 62903, 25005, 107, 65575, 72661, 17905, 25129, 20230, 52563, 107001, 101200, 115717, 33541, 9174, 567, 220, 30813, 23039, 198, 567, 106030, 78349, 39880, 68759, 103830, 10110, 116826, 58942, 30591, 17129, 108005, 115, 23954, 122908, 39880, 68759, 103830, 107118, 5486, 33, 998, 33, 91482, 76428, 102750, 22398, 121960, 5486, 37026, 61337, 29295, 104908, 54926, 125175, 9458, 47043, 16144, 47307, 38248, 110, 67075, 121711, 30297, 30369, 114435, 104336, 113115, 15024, 5486, 220, 67645, 33121, 103378, 16144, 80805, 38248, 119, 52414, 16556, 37026, 61337, 125175, 9458, 47043, 30512, 39880, 107420, 113335, 9458, 104908, 103082, 100934, 32149, 30512, 102178, 111665, 54926, 113009, 19967, 13153, 54926, 124787, 111629, 16144, 100909, 9174, 122908, 39880, 68759, 103830, 126694, 13153, 54926, 118733, 5486, 39442, 39880, 107420, 113335, 16144, 114435, 104336, 30512, 108914, 16995, 121216, 5486, 220, 77693, 108422, 33121, 16144, 114435, 104336, 113115, 39926, 68759, 38248, 109, 103906, 94550, 16144, 102669, 105838, 9458, 102669, 103991, 16144, 105226, 23187, 78434, 9174, 567, 80050, 107167, 118928, 94550, 104873, 112984, 10110, 17663, 47884, 31431, 11972, 20230, 25827, 104699, 43514, 107106, 30813, 23954, 22398, 107167, 118928, 94550, 104873, 112984, 107118, 5486, 104873, 112984, 103359, 47523, 112919, 77195, 116602, 20834, 123410, 113009, 123213, 104873, 112984, 20230, 61826, 125894, 107441, 23039, 30297, 30926, 25580, 104873, 112984, 16144, 100909, 1811, 113164, 102663, 84477, 104309, 117824, 26854, 30297, 104983, 20230, 5486, 66378, 23187, 16144, 77195, 10110, 8107, 106036, 95, 71289, 34171, 103283, 123160, 80356, 7705, 20230, 109638, 40265, 54926, 103359, 47523, 30046, 30512, 58254, 252, 31431, 104526, 104004, 124122, 104873, 112984, 1811, 119379, 109904, 77195, 17297, 113245, 104873, 112984, 30512, 32018, 109315, 104983, 120650, 126832, 1811, 22398, 107167, 118928, 94550, 104873, 112984, 117824, 100472, 74482, 5486, 103359, 47523, 112919, 64121, 20230, 22656, 104873, 112984, 117824, 30297, 9174, 567, 220, 28713, 23039, 198, 567, 110557, 25197, 44971, 110548, 68759, 38248, 109, 103906, 94550, 10110, 36785, 16995, 33121, 126145, 17129, 11972, 107441, 2243, 225, 25827, 104699, 23954, 14167, 100, 65854, 115303, 31431, 115303, 112586, 103359, 54926, 109467, 109904, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 113468, 5486, 26130, 17161, 71289, 99397, 16995, 114146, 5486, 109198, 17701, 30512, 113096, 17663, 68759, 38248, 109, 103906, 94550, 46034, 25333, 16144, 100909, 9174, 39850, 38248, 104, 11972, 29295, 14167, 100, 65854, 113115, 39926, 109467, 10110, 124807, 44971, 110548, 7705, 122626, 54926, 124773, 123437, 67075, 122626, 71289, 118597, 122626, 120950, 126465, 30512, 64467, 17663, 115789, 101182, 9174, 567, 110045, 57183, 107610, 32131, 118928, 94550, 10110, 16556, 2243, 225, 11972, 2243, 115, 33503, 11972, 20230, 25827, 104699, 23954, 103857, 107610, 32131, 118928, 94550, 15682, 114514, 114050, 48864, 108710, 107173, 127173, 33121, 33541, 9174, 43240, 114050, 16144, 118331, 108994, 33710, 118823, 102756, 105048, 10110, 103857, 107610, 118331, 108994, 33710, 118823, 102756, 105048, 7705, 111848, 101513, 109472, 48864, 108710, 46034, 25333, 103195, 104076, 43240, 114050, 118331, 108994, 33710, 118823, 102756, 105048, 112212, 48864, 108710, 16144, 102473, 71289, 5486, 48864, 108710, 20230, 109215, 26854, 122282, 101513, 16144, 106556, 70141, 17905, 84389, 5486, 114392, 26854, 48864, 108710, 117824, 58942, 104028, 101200, 115717, 79721, 9174, 58426, 113702, 5486, 79785, 71174, 9458, 115240, 9458, 109683, 78244, 102158, 30512, 103359, 47523, 117408, 109606, 113115, 15024, 50338, 104662, 108608, 101200, 108176, 9174, 567, 110045, 76428, 47307, 108958, 119930, 108526, 25005, 94, 38248, 115, 78205, 16073, 10110, 16556, 100204, 28713, 104533, 33503, 25827, 17663, 105104, 2243, 231, 38248, 223, 11972, 124304, 25827, 23954, 1049, 19, 116033, 22398, 111234, 114228, 113883, 65299, 39850, 90962, 102667, 16144, 76739, 37823, 48552, 9458, 71634, 33710, 47307, 108941, 16073, 116891, 29295, 29172, 110125, 107113, 126067, 16556, 36896, 964, 16144, 27699, 116, 108950, 29295, 5486, 17792, 104680, 16144, 104654, 30512, 30591, 33503, 106644, 30369, 28190, 16556, 105755, 126521, 112169, 20230, 104721, 33208, 124545, 100909, 10646, 103195, 9174, 40, 57933, 29220, 101335, 42634, 76428, 11972, 30512, 125894, 33655, 39926, 14167, 100, 65854, 104356, 16144, 125175, 30512, 77413, 87447, 54926, 106548, 103214, 64121, 111363, 108167, 103214, 64121, 15682, 115515, 74482, 124490, 32149, 72342, 100604, 114435, 102669, 105838, 101983, 107462, 47884, 9174, 567, 107964, 243, 55723, 47260, 108304, 119495, 10110, 104405, 29295, 69847, 38144, 25827, 59739, 23954, 91875, 55723, 16556, 47043, 71289, 125175, 30512, 107322, 108044, 54926, 100909, 119627, 5486, 124131, 84477, 108526, 113883, 103572, 82317, 113468, 198, 91875, 55723, 47260, 108304, 119495, 16144, 103984, 36735, 112, 117501, 15682, 43240, 103826, 33208, 39926, 5486, 46034, 117355, 126365, 104028, 101200, 115717, 79721, 9174, 91875, 55723, 47260, 108304, 119495, 29295, 66953, 118567, 108285, 58655, 10110, 106353, 82533, 55723, 7705, 105755, 104622, 25129, 26854, 28542, 198, 16, 13, 91875, 55723, 15682, 106353, 82533, 55723, 20230, 57106, 115694, 13177, 104371, 47523, 27479, 30512, 45736, 109315, 8239, 114503, 57903, 111329, 13177, 105184, 111201, 64121, 28713, 66383, 95604, 104195, 16995, 101067, 72718, 30512, 113801, 125119, 56051, 116537, 5486, 66953, 118567, 108285, 58655, 15682, 220, 23, 13, 24, 4, 115287, 110115, 103359, 39926, 91875, 55723, 108285, 58655, 15682, 220, 975, 13, 22, 113127, 16556, 5486, 66953, 118567, 108285, 58655, 16144, 103664, 220, 16, 13, 22, 98406, 102677, 113702, 125334, 79721, 9174, 17, 13, 91875, 55723, 15682, 106353, 82533, 55723, 20230, 57106, 115694, 13177, 109713, 66953, 78767, 78205, 16073, 8239, 114503, 29295, 126574, 111329, 66953, 118567, 108285, 58655, 10110, 106353, 82533, 55723, 7705, 104088, 28713, 17792, 16556, 5486, 103984, 36735, 112, 74482, 101983, 25827, 33503, 116421, 123120, 30512, 125119, 56051, 116537, 16, 111017, 113314, 115287, 110115, 103359, 39926, 5486, 91875, 55723, 104088, 28713, 107707, 19, 111017, 102944, 114754, 127177, 122481, 16144, 34273, 110, 111182, 71289, 5486, 122270, 103130, 102189, 108134, 30512, 32018, 109315, 111800, 52084, 123120, 104309, 30512, 125119, 127145, 9174, 567, 108613, 37823, 57326, 33710, 39850, 125380, 10110, 19732, 31431, 2243, 115, 30369, 62004, 16556, 2243, 225, 30591, 23954, 122148, 57326, 33710, 39850, 125380, 107118, 5486, 114435, 68759, 38248, 109, 103906, 94550, 121960, 72237, 117282, 18, 118821, 39850, 125380, 30512, 64531, 22649, 56051, 123646, 103202, 102756, 105048, 16144, 100909, 1811, 90962, 65299, 102860, 39850, 125380, 9458, 99695, 114265, 39850, 125380, 116806, 11972, 102860, 39850, 125380, 16144, 18, 59739, 20230, 17620, 32149, 104028, 9174, 99695, 114265, 39850, 125380, 16556, 114435, 55031, 108936, 33420, 106382, 30046, 102416, 108134, 30512, 102404, 22023, 39926, 104736, 53283, 107726, 5486, 90962, 65299, 102860, 39850, 125380, 16556, 47043, 71289, 114435, 114556, 39926, 16144, 113954, 9458, 114622, 113096, 30512, 103130, 107436, 60868, 89154, 120770, 30512, 115079, 71289, 15024, 115132, 11972, 102860, 39850, 125380, 16556, 60868, 89154, 120770, 19732, 108936, 33420, 106382, 30046, 56965, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 113096, 103130, 71289, 107624, 106053, 16144, 115376, 117824, 30297, 105908, 108729, 109904, 107734, 111017, 17620, 106529, 117282, 9174, 567, 76502, 78943, 198, 16, 117073, 121101, 16144, 44915, 71289, 32938, 99750, 30512, 17905, 65743, 20230, 120270, 54926, 124122, 102181, 104770, 9458, 108134, 9174, 118899, 15682, 123141, 33208, 116216, 108086, 5486, 123141, 17905, 16556, 120270, 30512, 103792, 114435, 32977, 127181, 9174, 96452, 44971, 26269, 76428, 68759, 102750, 76428, 73590, 10110, 26854, 33121, 42891, 100204, 17129, 101832, 100204, 62004, 127842, 7705, 59757, 104770, 5232, 964, 11883, 102158, 198, 96452, 44971, 26269, 76428, 68759, 102750, 76428, 73590, 107118, 5486, 102159, 114754, 69978, 59739, 53283, 109375, 71289, 108134, 16144, 55999, 19361, 9458, 31958, 105184, 33208, 55031, 5486, 19967, 101275, 16144, 126120, 96455, 71289, 114435, 16144, 101275, 116486, 30512, 70141, 17905, 124545, 106613, 112167, 68759, 102750, 76428, 73590, 46034, 25333, 9174, 96452, 44971, 26269, 76428, 68759, 102750, 76428, 73590, 15682, 119526, 116771, 105110, 101860, 66776, 78244, 102158, 109904, 101171, 111, 16144, 112415, 111848, 106613, 111186, 53283, 71289, 106613, 111186, 108630, 16144, 43240, 47884, 30512, 96412, 104004, 102944, 16556, 111476, 106839, 17701, 102052, 101682, 76622, 125639, 33014, 44416, 71289, 117501, 30512, 78698, 101557, 106, 54926, 109215, 34171, 107407, 9174, 567, 108295, 23039, 198, 567, 109517, 102, 105525, 40452, 123141, 10110, 15682, 25827, 81219, 118544, 25827, 31431, 15024, 17663, 38144, 104004, 23954, 122626, 40452, 123141, 107118, 47043, 16144, 101682, 26130, 55031, 108446, 25446, 103296, 112160, 89046, 16144, 89753, 33121, 30512, 15120, 24186, 112535, 40452, 54926, 123141, 16144, 100909, 38641, 66327, 101682, 26130, 40452, 59712, 19000, 107086, 40452, 59712, 20834, 111600, 40452, 59712, 105525, 17905, 40452, 10646, 123160, 121432, 114792, 76947, 61689, 1811, 16325, 102052, 14167, 100, 65854, 40452, 121432, 103296, 96412, 109013, 102944, 32977, 57903, 33541, 29295, 106116, 102831, 104792, 117083, 104468, 5486, 102208, 40452, 111831, 16144, 105156, 40862, 113468, 5486, 22398, 91062, 106240, 20230, 121101, 30512, 103130, 109315, 100909, 38641, 9174, 567, 121238, 76428, 102750, 22398, 76171, 57933, 37823, 109531, 107446, 10110, 102802, 100204, 101832, 17663, 16995, 25827, 38144, 31431, 100204, 119902, 25827, 17663, 23954, 114435, 20230, 105623, 226, 108882, 103646, 122333, 26854, 119526, 30512, 110226, 43167, 39926, 106596, 15024, 106116, 113702, 30512, 31540, 103984, 33208, 54926, 106548, 103214, 64121, 1811, 108936, 112535, 8768, 19732, 127173, 115032, 1811, 91482, 76428, 102750, 22398, 76171, 57933, 37823, 109531, 107446, 30512, 106839, 17701, 54926, 118733, 114363, 103722, 46729, 16556, 100604, 108152, 38248, 114, 11972, 72661, 46034, 117355, 20230, 108134, 71289, 106596, 113702, 30512, 34273, 110, 111182, 88367, 102677, 66378, 17599, 112, 107407, 9174, 567, 109228, 25197, 32131, 33710, 68759, 38248, 109, 103906, 94550, 10110, 81219, 16995, 33503, 30369, 17129, 11972, 107441, 2243, 225, 25827, 104699, 23954, 36668, 20230, 124773, 123437, 67075, 71289, 39850, 64178, 112212, 5486, 29220, 78459, 47260, 101198, 30512, 107740, 39926, 16937, 66378, 23187, 43240, 9039, 20230, 108285, 115464, 101200, 106548, 115856, 76622, 100481, 47884, 68759, 38248, 109, 103906, 94550, 46034, 25333, 16144, 100909, 1811, 119732, 32131, 33710, 15682, 13177, 65299, 106696, 22398, 34171, 16144, 66383, 95604, 115552, 116787, 5486, 17792, 55031, 17792, 102416, 108134, 29295, 108044, 78183, 107462, 47884, 103826, 45829, 30512, 21405, 103792, 9174, 127091, 47043, 30512, 107740, 56051, 104983, 16144, 32938, 99750, 30512, 43511, 17792, 20230, 108044, 58942, 106956, 102677, 127298, 30512, 76706, 11883, 56051, 46034, 25333, 16556, 5486, 17792, 101399, 9554, 126194, 5486, 109683, 102404, 21990, 30512, 113096, 17663, 109215, 107407, 9174, 14167, 100, 65854, 42016, 101559, 16144, 103721, 233, 29295, 31431, 30512, 76706, 11883, 54926, 103846, 5486, 16937, 66378, 23187, 43240, 9039, 30512, 47307, 38248, 110, 67075, 20230, 56051, 108285, 58655, 19732, 57106, 115694, 5486, 114435, 29295, 32018, 109315, 47307, 38248, 110, 67075, 20230, 39880, 107420, 113335, 15024, 126172, 16995, 102677, 66378, 17599, 112, 107407, 9174, 567, 110138, 38248, 121, 96452, 102803, 78525, 91875, 55723, 10110, 2243, 109, 11972, 27929, 105110, 16995, 101860, 104405, 29295, 23954, 80805, 38248, 121, 96452, 102803, 78525, 45923, 91875, 55723, 107118, 5486, 14167, 100, 65854, 16, 17792, 16, 17792, 20230, 114146, 28713, 108285, 58655, 91875, 55723, 16144, 100909, 38641, 1811, 14167, 100, 65854, 37087, 102351, 20230, 112361, 108285, 58655, 104088, 122101, 16144, 126194, 5486, 14167, 100, 65854, 16144, 80356, 10110, 122013, 106391, 13153, 9458, 8107, 106036, 95, 9458, 104157, 101987, 30590, 7705, 71289, 108134, 10110, 109198, 107691, 123259, 114172, 9458, 111800, 52084, 123259, 114172, 7705, 20230, 117989, 76947, 5486, 32335, 109431, 33208, 103646, 108285, 58655, 30512, 52563, 54926, 105908, 125545, 9174, 95221, 108176, 100909, 103306, 15682, 5486, 14167, 100, 65854, 20230, 114146, 28713, 91875, 55723, 126694, 13153, 8239, 112, 48634, 119627, 5486, 80805, 38248, 121, 96452, 102803, 78525, 91875, 55723, 30512, 115681, 19967, 13153, 54926, 125175, 30512, 104908, 54926, 114435, 32977, 20834, 38144, 50834, 100934, 105879, 111476, 80805, 38248, 121, 96452, 102803, 78525, 91875, 55723, 123410, 104983, 15682, 102131, 16995, 100472, 114435, 20230, 103963, 117943, 56051, 24273, 29295, 57980, 117201, 109954, 9174, 567, 125606, 23039, 198, 567, 106982, 38248, 109, 103906, 94550, 90962, 84477, 39850, 38248, 115, 78205, 16073, 10110, 17129, 11972, 107441, 2243, 225, 25827, 104699, 33334, 11972, 19732, 62004, 11972, 124304, 25827, 23954, 68759, 38248, 109, 103906, 94550, 16144, 107420, 64810, 22398, 30512, 115681, 33208, 54926, 103223, 64178, 16144, 106592, 95604, 9174, 107391, 16073, 99695, 107060, 71289, 107420, 102494, 38248, 115, 78205, 16073, 123160, 68759, 38248, 109, 103906, 94550, 112415, 30512, 32977, 19732, 20230, 118283, 39880, 122835, 15024, 106116, 113702, 20230, 114146, 28713, 39850, 26269, 64810, 78767, 30512, 39850, 64178, 55487, 22023, 71289, 102741, 38248, 115, 68581, 33710, 30512, 107740, 54926, 1811, 116718, 109853, 15682, 108134, 116229, 126250, 61304, 107121, 126020, 33541, 9174, 567, 106198, 233, 108882, 102181, 10110, 64121, 59739, 123731, 124304, 23954, 105107, 25446, 71289, 125175, 30512, 14167, 100, 65854, 10110, 105268, 106624, 15682, 33420, 106382, 30046, 7705, 20230, 104908, 54926, 104983, 16144, 121374, 5486, 31958, 104398, 5486, 77195, 50667, 30512, 61304, 56051, 102944, 9174, 567, 106982, 122148, 29220, 22398, 121606, 10110, 123011, 31431, 47884, 17663, 27929, 21105, 235, 23954, 21990, 106518, 5486, 122626, 5486, 112113, 5486, 17792, 30926, 19732, 112844, 104466, 107430, 27327, 103283, 20230, 17620, 105784, 104774, 16073, 48552, 102895, 115307, 121606, 30512, 109203, 100818, 116, 19732, 15024, 5486, 105107, 25446, 103283, 9458, 119208, 103283, 20230, 17620, 105784, 118482, 34048, 44416, 30512, 102057, 99, 100818, 116, 103306, 115856, 76622, 114146, 38144, 19967, 109115, 121606, 16144, 100909, 9174, 117032, 15682, 104774, 116099 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 71289, 91482, 48552, 62903, 25005, 107, 65575, 72661, 17905, 25129, 20230, 52563, 107001, 101200, 115717, 33541, 9174, 567, 220, 30813, 23039, 198, 567, 106030, 78349, 39880, 68759, 103830, 10110, 116826, 58942, 30591, 17129, 108005, 115, 23954, 122908, 39880, 68759, 103830, 107118, 5486, 33, 998, 33, 91482, 76428, 102750, 22398, 121960, 5486, 37026, 61337, 29295, 104908, 54926, 125175, 9458, 47043, 16144, 47307, 38248, 110, 67075, 121711, 30297, 30369, 114435, 104336, 113115, 15024, 5486, 220, 67645, 33121, 103378, 16144, 80805, 38248, 119, 52414, 16556, 37026, 61337, 125175, 9458, 47043, 30512, 39880, 107420, 113335, 9458, 104908, 103082, 100934, 32149, 30512, 102178, 111665, 54926, 113009, 19967, 13153, 54926, 124787, 111629, 16144, 100909, 9174, 122908, 39880, 68759, 103830, 126694, 13153, 54926, 118733, 5486, 39442, 39880, 107420, 113335, 16144, 114435, 104336, 30512, 108914, 16995, 121216, 5486, 220, 77693, 108422, 33121, 16144, 114435, 104336, 113115, 39926, 68759, 38248, 109, 103906, 94550, 16144, 102669, 105838, 9458, 102669, 103991, 16144, 105226, 23187, 78434, 9174, 567, 80050, 107167, 118928, 94550, 104873, 112984, 10110, 17663, 47884, 31431, 11972, 20230, 25827, 104699, 43514, 107106, 30813, 23954, 22398, 107167, 118928, 94550, 104873, 112984, 107118, 5486, 104873, 112984, 103359, 47523, 112919, 77195, 116602, 20834, 123410, 113009, 123213, 104873, 112984, 20230, 61826, 125894, 107441, 23039, 30297, 30926, 25580, 104873, 112984, 16144, 100909, 1811, 113164, 102663, 84477, 104309, 117824, 26854, 30297, 104983, 20230, 5486, 66378, 23187, 16144, 77195, 10110, 8107, 106036, 95, 71289, 34171, 103283, 123160, 80356, 7705, 20230, 109638, 40265, 54926, 103359, 47523, 30046, 30512, 58254, 252, 31431, 104526, 104004, 124122, 104873, 112984, 1811, 119379, 109904, 77195, 17297, 113245, 104873, 112984, 30512, 32018, 109315, 104983, 120650, 126832, 1811, 22398, 107167, 118928, 94550, 104873, 112984, 117824, 100472, 74482, 5486, 103359, 47523, 112919, 64121, 20230, 22656, 104873, 112984, 117824, 30297, 9174, 567, 220, 28713, 23039, 198, 567, 110557, 25197, 44971, 110548, 68759, 38248, 109, 103906, 94550, 10110, 36785, 16995, 33121, 126145, 17129, 11972, 107441, 2243, 225, 25827, 104699, 23954, 14167, 100, 65854, 115303, 31431, 115303, 112586, 103359, 54926, 109467, 109904, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 113468, 5486, 26130, 17161, 71289, 99397, 16995, 114146, 5486, 109198, 17701, 30512, 113096, 17663, 68759, 38248, 109, 103906, 94550, 46034, 25333, 16144, 100909, 9174, 39850, 38248, 104, 11972, 29295, 14167, 100, 65854, 113115, 39926, 109467, 10110, 124807, 44971, 110548, 7705, 122626, 54926, 124773, 123437, 67075, 122626, 71289, 118597, 122626, 120950, 126465, 30512, 64467, 17663, 115789, 101182, 9174, 567, 110045, 57183, 107610, 32131, 118928, 94550, 10110, 16556, 2243, 225, 11972, 2243, 115, 33503, 11972, 20230, 25827, 104699, 23954, 103857, 107610, 32131, 118928, 94550, 15682, 114514, 114050, 48864, 108710, 107173, 127173, 33121, 33541, 9174, 43240, 114050, 16144, 118331, 108994, 33710, 118823, 102756, 105048, 10110, 103857, 107610, 118331, 108994, 33710, 118823, 102756, 105048, 7705, 111848, 101513, 109472, 48864, 108710, 46034, 25333, 103195, 104076, 43240, 114050, 118331, 108994, 33710, 118823, 102756, 105048, 112212, 48864, 108710, 16144, 102473, 71289, 5486, 48864, 108710, 20230, 109215, 26854, 122282, 101513, 16144, 106556, 70141, 17905, 84389, 5486, 114392, 26854, 48864, 108710, 117824, 58942, 104028, 101200, 115717, 79721, 9174, 58426, 113702, 5486, 79785, 71174, 9458, 115240, 9458, 109683, 78244, 102158, 30512, 103359, 47523, 117408, 109606, 113115, 15024, 50338, 104662, 108608, 101200, 108176, 9174, 567, 110045, 76428, 47307, 108958, 119930, 108526, 25005, 94, 38248, 115, 78205, 16073, 10110, 16556, 100204, 28713, 104533, 33503, 25827, 17663, 105104, 2243, 231, 38248, 223, 11972, 124304, 25827, 23954, 1049, 19, 116033, 22398, 111234, 114228, 113883, 65299, 39850, 90962, 102667, 16144, 76739, 37823, 48552, 9458, 71634, 33710, 47307, 108941, 16073, 116891, 29295, 29172, 110125, 107113, 126067, 16556, 36896, 964, 16144, 27699, 116, 108950, 29295, 5486, 17792, 104680, 16144, 104654, 30512, 30591, 33503, 106644, 30369, 28190, 16556, 105755, 126521, 112169, 20230, 104721, 33208, 124545, 100909, 10646, 103195, 9174, 40, 57933, 29220, 101335, 42634, 76428, 11972, 30512, 125894, 33655, 39926, 14167, 100, 65854, 104356, 16144, 125175, 30512, 77413, 87447, 54926, 106548, 103214, 64121, 111363, 108167, 103214, 64121, 15682, 115515, 74482, 124490, 32149, 72342, 100604, 114435, 102669, 105838, 101983, 107462, 47884, 9174, 567, 107964, 243, 55723, 47260, 108304, 119495, 10110, 104405, 29295, 69847, 38144, 25827, 59739, 23954, 91875, 55723, 16556, 47043, 71289, 125175, 30512, 107322, 108044, 54926, 100909, 119627, 5486, 124131, 84477, 108526, 113883, 103572, 82317, 113468, 198, 91875, 55723, 47260, 108304, 119495, 16144, 103984, 36735, 112, 117501, 15682, 43240, 103826, 33208, 39926, 5486, 46034, 117355, 126365, 104028, 101200, 115717, 79721, 9174, 91875, 55723, 47260, 108304, 119495, 29295, 66953, 118567, 108285, 58655, 10110, 106353, 82533, 55723, 7705, 105755, 104622, 25129, 26854, 28542, 198, 16, 13, 91875, 55723, 15682, 106353, 82533, 55723, 20230, 57106, 115694, 13177, 104371, 47523, 27479, 30512, 45736, 109315, 8239, 114503, 57903, 111329, 13177, 105184, 111201, 64121, 28713, 66383, 95604, 104195, 16995, 101067, 72718, 30512, 113801, 125119, 56051, 116537, 5486, 66953, 118567, 108285, 58655, 15682, 220, 23, 13, 24, 4, 115287, 110115, 103359, 39926, 91875, 55723, 108285, 58655, 15682, 220, 975, 13, 22, 113127, 16556, 5486, 66953, 118567, 108285, 58655, 16144, 103664, 220, 16, 13, 22, 98406, 102677, 113702, 125334, 79721, 9174, 17, 13, 91875, 55723, 15682, 106353, 82533, 55723, 20230, 57106, 115694, 13177, 109713, 66953, 78767, 78205, 16073, 8239, 114503, 29295, 126574, 111329, 66953, 118567, 108285, 58655, 10110, 106353, 82533, 55723, 7705, 104088, 28713, 17792, 16556, 5486, 103984, 36735, 112, 74482, 101983, 25827, 33503, 116421, 123120, 30512, 125119, 56051, 116537, 16, 111017, 113314, 115287, 110115, 103359, 39926, 5486, 91875, 55723, 104088, 28713, 107707, 19, 111017, 102944, 114754, 127177, 122481, 16144, 34273, 110, 111182, 71289, 5486, 122270, 103130, 102189, 108134, 30512, 32018, 109315, 111800, 52084, 123120, 104309, 30512, 125119, 127145, 9174, 567, 108613, 37823, 57326, 33710, 39850, 125380, 10110, 19732, 31431, 2243, 115, 30369, 62004, 16556, 2243, 225, 30591, 23954, 122148, 57326, 33710, 39850, 125380, 107118, 5486, 114435, 68759, 38248, 109, 103906, 94550, 121960, 72237, 117282, 18, 118821, 39850, 125380, 30512, 64531, 22649, 56051, 123646, 103202, 102756, 105048, 16144, 100909, 1811, 90962, 65299, 102860, 39850, 125380, 9458, 99695, 114265, 39850, 125380, 116806, 11972, 102860, 39850, 125380, 16144, 18, 59739, 20230, 17620, 32149, 104028, 9174, 99695, 114265, 39850, 125380, 16556, 114435, 55031, 108936, 33420, 106382, 30046, 102416, 108134, 30512, 102404, 22023, 39926, 104736, 53283, 107726, 5486, 90962, 65299, 102860, 39850, 125380, 16556, 47043, 71289, 114435, 114556, 39926, 16144, 113954, 9458, 114622, 113096, 30512, 103130, 107436, 60868, 89154, 120770, 30512, 115079, 71289, 15024, 115132, 11972, 102860, 39850, 125380, 16556, 60868, 89154, 120770, 19732, 108936, 33420, 106382, 30046, 56965, 16144, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 113096, 103130, 71289, 107624, 106053, 16144, 115376, 117824, 30297, 105908, 108729, 109904, 107734, 111017, 17620, 106529, 117282, 9174, 567, 76502, 78943, 198, 16, 117073, 121101, 16144, 44915, 71289, 32938, 99750, 30512, 17905, 65743, 20230, 120270, 54926, 124122, 102181, 104770, 9458, 108134, 9174, 118899, 15682, 123141, 33208, 116216, 108086, 5486, 123141, 17905, 16556, 120270, 30512, 103792, 114435, 32977, 127181, 9174, 96452, 44971, 26269, 76428, 68759, 102750, 76428, 73590, 10110, 26854, 33121, 42891, 100204, 17129, 101832, 100204, 62004, 127842, 7705, 59757, 104770, 5232, 964, 11883, 102158, 198, 96452, 44971, 26269, 76428, 68759, 102750, 76428, 73590, 107118, 5486, 102159, 114754, 69978, 59739, 53283, 109375, 71289, 108134, 16144, 55999, 19361, 9458, 31958, 105184, 33208, 55031, 5486, 19967, 101275, 16144, 126120, 96455, 71289, 114435, 16144, 101275, 116486, 30512, 70141, 17905, 124545, 106613, 112167, 68759, 102750, 76428, 73590, 46034, 25333, 9174, 96452, 44971, 26269, 76428, 68759, 102750, 76428, 73590, 15682, 119526, 116771, 105110, 101860, 66776, 78244, 102158, 109904, 101171, 111, 16144, 112415, 111848, 106613, 111186, 53283, 71289, 106613, 111186, 108630, 16144, 43240, 47884, 30512, 96412, 104004, 102944, 16556, 111476, 106839, 17701, 102052, 101682, 76622, 125639, 33014, 44416, 71289, 117501, 30512, 78698, 101557, 106, 54926, 109215, 34171, 107407, 9174, 567, 108295, 23039, 198, 567, 109517, 102, 105525, 40452, 123141, 10110, 15682, 25827, 81219, 118544, 25827, 31431, 15024, 17663, 38144, 104004, 23954, 122626, 40452, 123141, 107118, 47043, 16144, 101682, 26130, 55031, 108446, 25446, 103296, 112160, 89046, 16144, 89753, 33121, 30512, 15120, 24186, 112535, 40452, 54926, 123141, 16144, 100909, 38641, 66327, 101682, 26130, 40452, 59712, 19000, 107086, 40452, 59712, 20834, 111600, 40452, 59712, 105525, 17905, 40452, 10646, 123160, 121432, 114792, 76947, 61689, 1811, 16325, 102052, 14167, 100, 65854, 40452, 121432, 103296, 96412, 109013, 102944, 32977, 57903, 33541, 29295, 106116, 102831, 104792, 117083, 104468, 5486, 102208, 40452, 111831, 16144, 105156, 40862, 113468, 5486, 22398, 91062, 106240, 20230, 121101, 30512, 103130, 109315, 100909, 38641, 9174, 567, 121238, 76428, 102750, 22398, 76171, 57933, 37823, 109531, 107446, 10110, 102802, 100204, 101832, 17663, 16995, 25827, 38144, 31431, 100204, 119902, 25827, 17663, 23954, 114435, 20230, 105623, 226, 108882, 103646, 122333, 26854, 119526, 30512, 110226, 43167, 39926, 106596, 15024, 106116, 113702, 30512, 31540, 103984, 33208, 54926, 106548, 103214, 64121, 1811, 108936, 112535, 8768, 19732, 127173, 115032, 1811, 91482, 76428, 102750, 22398, 76171, 57933, 37823, 109531, 107446, 30512, 106839, 17701, 54926, 118733, 114363, 103722, 46729, 16556, 100604, 108152, 38248, 114, 11972, 72661, 46034, 117355, 20230, 108134, 71289, 106596, 113702, 30512, 34273, 110, 111182, 88367, 102677, 66378, 17599, 112, 107407, 9174, 567, 109228, 25197, 32131, 33710, 68759, 38248, 109, 103906, 94550, 10110, 81219, 16995, 33503, 30369, 17129, 11972, 107441, 2243, 225, 25827, 104699, 23954, 36668, 20230, 124773, 123437, 67075, 71289, 39850, 64178, 112212, 5486, 29220, 78459, 47260, 101198, 30512, 107740, 39926, 16937, 66378, 23187, 43240, 9039, 20230, 108285, 115464, 101200, 106548, 115856, 76622, 100481, 47884, 68759, 38248, 109, 103906, 94550, 46034, 25333, 16144, 100909, 1811, 119732, 32131, 33710, 15682, 13177, 65299, 106696, 22398, 34171, 16144, 66383, 95604, 115552, 116787, 5486, 17792, 55031, 17792, 102416, 108134, 29295, 108044, 78183, 107462, 47884, 103826, 45829, 30512, 21405, 103792, 9174, 127091, 47043, 30512, 107740, 56051, 104983, 16144, 32938, 99750, 30512, 43511, 17792, 20230, 108044, 58942, 106956, 102677, 127298, 30512, 76706, 11883, 56051, 46034, 25333, 16556, 5486, 17792, 101399, 9554, 126194, 5486, 109683, 102404, 21990, 30512, 113096, 17663, 109215, 107407, 9174, 14167, 100, 65854, 42016, 101559, 16144, 103721, 233, 29295, 31431, 30512, 76706, 11883, 54926, 103846, 5486, 16937, 66378, 23187, 43240, 9039, 30512, 47307, 38248, 110, 67075, 20230, 56051, 108285, 58655, 19732, 57106, 115694, 5486, 114435, 29295, 32018, 109315, 47307, 38248, 110, 67075, 20230, 39880, 107420, 113335, 15024, 126172, 16995, 102677, 66378, 17599, 112, 107407, 9174, 567, 110138, 38248, 121, 96452, 102803, 78525, 91875, 55723, 10110, 2243, 109, 11972, 27929, 105110, 16995, 101860, 104405, 29295, 23954, 80805, 38248, 121, 96452, 102803, 78525, 45923, 91875, 55723, 107118, 5486, 14167, 100, 65854, 16, 17792, 16, 17792, 20230, 114146, 28713, 108285, 58655, 91875, 55723, 16144, 100909, 38641, 1811, 14167, 100, 65854, 37087, 102351, 20230, 112361, 108285, 58655, 104088, 122101, 16144, 126194, 5486, 14167, 100, 65854, 16144, 80356, 10110, 122013, 106391, 13153, 9458, 8107, 106036, 95, 9458, 104157, 101987, 30590, 7705, 71289, 108134, 10110, 109198, 107691, 123259, 114172, 9458, 111800, 52084, 123259, 114172, 7705, 20230, 117989, 76947, 5486, 32335, 109431, 33208, 103646, 108285, 58655, 30512, 52563, 54926, 105908, 125545, 9174, 95221, 108176, 100909, 103306, 15682, 5486, 14167, 100, 65854, 20230, 114146, 28713, 91875, 55723, 126694, 13153, 8239, 112, 48634, 119627, 5486, 80805, 38248, 121, 96452, 102803, 78525, 91875, 55723, 30512, 115681, 19967, 13153, 54926, 125175, 30512, 104908, 54926, 114435, 32977, 20834, 38144, 50834, 100934, 105879, 111476, 80805, 38248, 121, 96452, 102803, 78525, 91875, 55723, 123410, 104983, 15682, 102131, 16995, 100472, 114435, 20230, 103963, 117943, 56051, 24273, 29295, 57980, 117201, 109954, 9174, 567, 125606, 23039, 198, 567, 106982, 38248, 109, 103906, 94550, 90962, 84477, 39850, 38248, 115, 78205, 16073, 10110, 17129, 11972, 107441, 2243, 225, 25827, 104699, 33334, 11972, 19732, 62004, 11972, 124304, 25827, 23954, 68759, 38248, 109, 103906, 94550, 16144, 107420, 64810, 22398, 30512, 115681, 33208, 54926, 103223, 64178, 16144, 106592, 95604, 9174, 107391, 16073, 99695, 107060, 71289, 107420, 102494, 38248, 115, 78205, 16073, 123160, 68759, 38248, 109, 103906, 94550, 112415, 30512, 32977, 19732, 20230, 118283, 39880, 122835, 15024, 106116, 113702, 20230, 114146, 28713, 39850, 26269, 64810, 78767, 30512, 39850, 64178, 55487, 22023, 71289, 102741, 38248, 115, 68581, 33710, 30512, 107740, 54926, 1811, 116718, 109853, 15682, 108134, 116229, 126250, 61304, 107121, 126020, 33541, 9174, 567, 106198, 233, 108882, 102181, 10110, 64121, 59739, 123731, 124304, 23954, 105107, 25446, 71289, 125175, 30512, 14167, 100, 65854, 10110, 105268, 106624, 15682, 33420, 106382, 30046, 7705, 20230, 104908, 54926, 104983, 16144, 121374, 5486, 31958, 104398, 5486, 77195, 50667, 30512, 61304, 56051, 102944, 9174, 567, 106982, 122148, 29220, 22398, 121606, 10110, 123011, 31431, 47884, 17663, 27929, 21105, 235, 23954, 21990, 106518, 5486, 122626, 5486, 112113, 5486, 17792, 30926, 19732, 112844, 104466, 107430, 27327, 103283, 20230, 17620, 105784, 104774, 16073, 48552, 102895, 115307, 121606, 30512, 109203, 100818, 116, 19732, 15024, 5486, 105107, 25446, 103283, 9458, 119208, 103283, 20230, 17620, 105784, 118482, 34048, 44416, 30512, 102057, 99, 100818, 116, 103306, 115856, 76622, 114146, 38144, 19967, 109115, 121606, 16144, 100909, 9174, 117032, 15682, 104774, 116099 ]
[ 102895, 115307, 121606, 20230, 103204, 103792, 29295, 5486, 118482, 34048, 29295, 107420, 109531, 110548, 30512, 125119, 17663, 39177, 104309, 106116, 114754, 109215, 19732, 122225, 103646, 107803, 102052, 5486, 118482, 34048, 112028, 102351, 20230, 110284, 15024, 118482, 34048, 101544, 16144, 118279, 20230, 123532, 30297, 9174, 567, 116474, 23039, 198, 827, 21370, 99, 38248, 114, 11972, 124773, 112694, 78349, 61398, 10110, 106644, 11972, 75694, 11972, 16995, 25827, 28713, 11972, 105104, 119902, 11972, 17663, 23954, 13177, 57326, 77750, 32131, 91062, 29295, 108152, 38248, 114, 11972, 113115, 39926, 46239, 54926, 111134, 106384, 115145, 26854, 108134, 71289, 57933, 62903, 71634, 5486, 103672, 112900, 16144, 108134, 104309, 19732, 5486, 108152, 38248, 114, 11972, 29295, 57326, 77750, 32131, 91062, 30512, 44416, 109088, 54926, 104983, 20230, 38129, 54926, 62903, 125024, 65575, 71289, 68759, 115474, 5486, 47307, 108981, 80805, 124643, 102083, 100472, 44416, 109088, 57207, 38248, 109, 107446, 16144, 100909, 16144, 110022, 25666, 10646, 9174, 567, 21370, 99, 91482, 62903, 47307, 22398, 10110, 106644, 102802, 105898, 17663, 23954, 108152, 91482, 62903, 47307, 22398, 107118, 5486, 32131, 57933, 16073, 102158, 16556, 13177, 108064, 72661, 5486, 116414, 20230, 72661, 48706, 54926, 66383, 95604, 115552, 16144, 112690, 1811, 108152, 91482, 62903, 47307, 22398, 118823, 102756, 105048, 71289, 108152, 91482, 62903, 47307, 22398, 109713, 70563, 72369, 117675, 94550, 104309, 5486, 127177, 112690, 19732, 103214, 114146, 38144, 33655, 30297, 105908, 127181, 1811, 108152, 91482, 62903, 47307, 22398, 118823, 102756, 105048, 15682, 13177, 108152, 38248, 114, 29295, 49988, 37689, 16144, 107507, 101198, 94550, 16556, 111764, 20230, 118823, 102756, 105048, 117501, 20230, 30177, 106307, 108608, 115204, 5486, 108152, 91482, 62903, 47307, 22398, 109713, 70563, 72369, 117675, 94550, 15682, 13177, 109713, 70563, 72369, 108337, 29295, 24775, 103283, 29295, 59739, 126660, 108680, 9080, 40053, 104654, 20230, 111887, 31431, 104526, 17129, 104028, 127749, 115204, 19732, 112844, 115552, 16556, 33655, 78183, 115032, 9174, 567, 108791, 65575, 96452, 113335, 68581, 122835, 10110, 31431, 11972, 67645, 26854, 11972, 104702, 31431, 25827, 104699, 23954, 37823, 65575, 96452, 113335, 68581, 122835, 107118, 5486, 122635, 56051, 91774, 121423, 14167, 100, 65854, 19732, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 31431, 106272, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 45736, 62004, 5486, 105755, 47043, 16144, 109198, 107691, 30512, 111800, 118219, 54926, 14167, 100, 65854, 20230, 109768, 47884, 15120, 89046, 16144, 89753, 33121, 38641, 1811, 122635, 56051, 124766, 20230, 19361, 105576, 26854, 108134, 30512, 39850, 33710, 68759, 102472, 104309, 16556, 102404, 22023, 21105, 103, 29295, 33503, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 107462, 50834, 33541, 9174, 567, 109240, 123546, 94550, 122481, 32335, 109431, 33208, 10110, 33503, 104127, 2243, 225, 25827, 104699, 2243, 118, 11972, 100204, 65316, 38144, 50834, 32149, 23954, 43, 2089, 107118, 13177, 43, 26673, 5874, 58839, 117503, 103892, 88435, 30512, 18655, 100472, 102944, 116787, 5486, 108936, 112535, 13177, 93488, 103857, 94550, 122481, 32335, 109431, 33208, 117503, 106592, 78244, 61689, 9174, 111800, 52084, 76739, 123581, 113883, 107693, 34171, 29295, 45736, 115464, 107294, 33121, 5486, 63879, 71289, 111800, 52084, 113702, 89046, 91875, 25287, 108285, 58655, 10110, 112997, 103906, 94550, 108285, 58655, 7705, 112649, 117295, 47260, 71634, 29295, 45736, 115737, 76947, 50834, 38144, 108086, 33541, 9174, 108152, 38248, 114, 115247, 119869, 20230, 28037, 104067, 54926, 100815, 30590, 122481, 10110, 93488, 103857, 94550, 122481, 7705, 113115, 39926, 5486, 102159, 104680, 16144, 108152, 38248, 114, 115247, 30832, 112535, 114146, 28713, 57933, 62903, 71634, 71289, 107167, 76739, 25197, 103906, 52884, 30512, 11883, 37689, 54926, 118733, 108968, 16325, 106627, 110645, 30512, 103181, 105557, 5486, 126120, 96455, 112535, 45918, 246, 106839, 15024, 109713, 66953, 78767, 78205, 16073, 103296, 30250, 115, 60634, 124545, 118733, 5486, 106382, 11883, 103359, 8239, 114503, 30512, 112366, 48249, 20230, 113801, 121406, 105908, 125545, 9174, 567, 18049, 237, 23039, 198, 567, 119806, 105048, 52591, 117243, 10110, 78183, 11972, 47884, 105104, 85791, 11972, 23954, 102756, 105048, 52591, 117243, 107118, 5486, 114435, 71289, 107707, 56965, 16556, 23039, 126832, 108134, 71289, 121101, 16144, 71289, 31431, 108167, 112028, 89046, 16144, 89753, 33121, 16144, 30926, 30512, 64467, 17663, 9174, 110924, 55031, 102404, 77413, 39926, 5486, 89753, 33121, 30512, 111629, 29430, 33208, 56051, 53953, 37026, 33014, 71289, 5486, 19967, 109115, 89753, 33121, 10110, 52591, 117243, 120732, 30926, 30512, 64467, 17663, 30926, 32977, 127181, 1811, 964, 33208, 29295, 103130, 104004, 107294, 33121, 36896, 102756, 105048, 52591, 42634, 38248, 115, 120744, 66383, 42016, 104577, 16556, 33655, 126832, 115789, 115079, 107290, 50834, 100934, 1811, 128001, 128000, 567, 104102, 118, 108044, 45829, 111800, 112984, 76947, 99849, 95532, 115514, 108044, 45829, 5549, 7476, 8, 108295, 5486, 37087, 38144, 16144, 112027, 16144, 104398, 112506, 29295, 69978, 59739, 45631, 55031, 36785, 16144, 113404, 111629, 10646, 38641, 1811, 56420, 15682, 5486, 112027, 16144, 102625, 74482, 32977, 5486, 73028, 119, 101805, 116, 71289, 105150, 35818, 107809, 20230, 108618, 31431, 33541, 113637, 66378, 17599, 112, 30512, 107740, 39926, 5486, 104102, 118, 108044, 45829, 111800, 112984, 30512, 107740, 54926, 118733, 33334, 114834, 107809, 20230, 108618, 30369, 124928, 250, 112984, 103359, 47523, 112027, 16144, 33857, 30512, 108867, 23187, 54926, 105908, 125545, 9174, 567, 104102, 118, 108044, 45829, 111800, 112984, 16556, 99849, 29295, 108608, 16144, 95532, 71493, 91482, 5486, 22398, 104603, 70626, 117430, 10110, 22398, 104603, 5486, 107461, 101335, 62903, 50667, 65459, 110557, 78683, 123160, 56420, 16144, 33857, 30512, 104102, 118, 108044, 45829, 111800, 112984, 10110, 74256, 25333, 7705, 16556, 108867, 23187, 15024, 5486, 220, 20, 38574, 106090, 107624, 95001, 16556, 48154, 120270, 102334, 78434, 9174, 567, 104102, 118, 108044, 45829, 111800, 112984, 15682, 127331, 124949, 20230, 104405, 76706, 32149, 122101, 95532, 9080, 104680, 112197, 19012, 225, 21418, 77181, 108167, 50834, 33121, 101860, 20230, 9085, 241, 226, 108882, 103646, 56420, 16144, 33857, 30512, 37656, 106624, 53283, 30369, 220, 118733, 115847, 103296, 112197, 19012, 225, 21418, 16144, 71289, 31431, 24273, 30512, 106198, 233, 74245, 17663, 105908, 125545, 1811, 102717, 22957, 31431, 30512, 118807, 240, 50834, 107471, 33503, 30813, 100604, 19012, 225, 21418, 101513, 16144, 109198, 17701, 71289, 108072, 115474, 107167, 118928, 94550, 125175, 106839, 17701, 16144, 126318, 42891, 126929, 104309, 5486, 111044, 108285, 47884, 48154, 76706, 11883, 16995, 90620, 76622, 33541, 9174, 567, 67791, 25333, 111848, 111800, 112984, 112113, 107118, 95532, 74256, 107118, 39264, 1195, 521, 29625, 67941, 97718, 105838, 16556, 5486, 105180, 102158, 77181, 89154, 37823, 127194, 38248, 120, 89046, 109349, 244, 95543, 106608, 19732, 127173, 33121, 33541, 1811, 67791, 16144, 108729, 53229, 22649, 15682, 127164, 16144, 21990, 116945, 30046, 103195, 2999, 13, 735, 661, 52627, 285, 29295, 122401, 56051, 112113, 38641, 9174, 64780, 9023, 13, 735, 661, 52627, 285, 103241, 237, 15682, 58426, 17860, 116486, 112212, 5486, 220, 2550, 18, 116033, 101335, 25005, 247, 33710, 116945, 108363, 114475, 108363, 121256, 9174, 108867, 23187, 103359, 47523, 112027, 16144, 56420, 29295, 43240, 118145, 5486, 98359, 105, 23187, 111134, 52591, 16144, 115079, 111044, 103302, 101911, 16144, 118013, 115442, 31431, 29295, 104102, 227, 115737, 31431, 33541, 1811, 111800, 20834, 48249, 98220, 39442, 112624, 127303, 104984, 5486, 114114, 245, 111044, 103302, 101911, 15682, 116840, 16144, 110674, 121711, 33541, 9174, 567, 15922, 107118, 95532, 56420, 107118, 5486, 68408, 90962, 62903, 57207, 37823, 103672, 72237, 108602, 7, 1951, 61263, 462, 754, 452, 22935, 292, 50234, 120732, 100909, 38641, 1811, 65299, 106696, 22398, 30512, 220, 21418, 47884, 37087, 38144, 16144, 118958, 16144, 108729, 113404, 111629, 117282, 17620, 45829, 38641, 1811, 15922, 15682, 17620, 117068, 88367, 26854, 37087, 38144, 16144, 104398, 112506, 20230, 39533, 104, 17129, 115032, 103846, 5486, 56420, 16144, 33857, 30512, 82420, 108867, 220, 103082, 104984, 5486, 103359, 47523, 112027, 16144, 13177, 127181, 611, 126333, 100604, 118587, 119041, 30369, 105908, 125545, 9174, 567, 67791, 107118, 95532, 56420, 15682, 25963, 22656, 16144, 109349, 244, 16556, 103082, 127280, 1811, 124928, 250, 112984, 109544, 55031, 56420, 30512, 116602, 118158, 53610, 122026, 107654, 30512, 21601, 107969, 78434, 1811, 220, 112990, 5486, 25963, 22656, 16144, 109349, 244, 30512, 103721, 233, 102639, 101732, 102971, 40862, 29295, 50338, 76622, 5486, 15922, 15682, 16, 22656, 16144, 109349, 244, 115717, 33541, 109807, 74482, 5486, 107732, 122026, 107654, 16144, 126287, 30512, 106644, 121710, 31431, 17297, 102639, 100481, 126145, 5486, 107662, 16144, 103214, 64121, 114146, 16144, 17, 22656, 109349, 244, 20230, 114941, 31431, 33541, 9174, 51330, 34171, 105284, 30512, 107740, 39926, 5486, 126287, 30512, 17297, 102639, 30369, 126101, 45631, 57326, 102803, 68759, 11972, 66383, 127173, 104028, 17792, 49792, 40862, 13153, 16144, 106649, 16995, 56420, 30512, 107732, 122026, 107654, 20230, 107960, 112371, 38144, 105047, 106266, 20230, 126287, 30512, 17297, 102639, 104533, 5486, 116056, 106649, 16995, 13177, 57326, 102803, 68759, 11972, 10646, 29295, 22656, 37507, 16144, 120007, 126036, 103372, 16995, 105184, 96455, 16556, 16, 22656, 109349, 244, 16144, 56420, 20230, 102971, 40862, 78434, 1811, 220, 110382, 20230, 36896, 56420, 30512, 110137, 101544, 54926, 122502, 50834, 114792, 59739, 100845, 113, 72238, 43444, 89154, 37823, 127194, 38248, 120, 7705, 10646, 19732, 13177, 56420, 30512, 106391, 13153, 54926, 59657, 102, 75146, 118587, 21601, 58942, 104533, 5486, 56420, 15682, 17, 98406, 20230, 115079, 111044, 84389, 33541, 9174, 51330, 103188, 39607, 10110, 13177, 109054, 29220, 33710, 66383, 16995, 61689, 7705, 30512, 220, 605, 18904, 103721, 108, 31431, 104196, 17663, 19732, 28365, 7476, 16144, 115079, 111044, 33857, 15682, 16, 11, 19592, 98406, 115717, 33541, 1811, 508, 18904, 103721, 108, 31431, 104196, 17663, 19732, 5486, 220, 17, 11, 28384, 11, 9756, 98406, 105352, 26854, 31431, 33541, 113637, 115079, 111044, 95543, 106608, 16144, 106592, 5486, 89154, 37823, 127194, 38248, 120, 89046, 109349, 244, 95543, 106608, 320, 74256, 25, 97770, 521, 29625, 67941, 8, 19732, 105324, 102802, 5486, 56420, 33857, 16144, 108867, 23187, 112113, 20230, 106608, 11883, 127145, 9174, 567, 67791, 111848, 56420, 33857, 16144, 108867, 23187, 109853, 95532, 23187, 33857, 44416, 74256, 10110, 104612, 33710, 107507, 91062, 74256, 119735, 5486, 67791, 113468, 56420, 29295, 115079, 111044, 109768, 47884, 103188, 39607, 30512, 106773, 125596, 33710, 48154, 19732, 20230, 104612, 33710, 107507, 91062, 20230, 108867, 23187, 54926, 118733, 5486, 15922, 16144, 115079, 111044, 16144, 19361, 43568, 5486, 113314, 30512, 9039, 112603, 33208, 54926, 106592, 108263, 27327, 20230, 121256, 1811, 118789, 9554, 102052, 5486, 74256, 95543, 106608, 107654, 29295, 114424, 100472, 122026, 107654, 107809, 20230, 104238, 235, 101426, 53953, 105284, 30512, 17701, 106824, 33334, 50834, 5486, 15922, 16144, 115079, 111044, 20230, 107173, 26854, 76947, 104238, 235, 101426, 16144, 104195, 27479, 29295, 115079, 21601, 54926, 6704, 100, 246, 45829, 30512, 108867, 23187, 15024, 5486, 9039, 112603, 33208, 126130, 22957, 26854, 76947, 61689, 9174, 33334, 99397, 16995, 114146, 15682, 17297, 61304, 105755, 33334, 124730, 102334, 78434, 1811, 128001, 128000, 113461, 32149, 127334, 108422, 33334, 43514, 16144, 115195, 112586, 104102, 243, 34208, 99750, 30512, 112391, 38144, 112987, 107515, 32149, 11571, 220, 58426, 108010, 34208, 99750, 5486, 103350, 15682, 106955, 225, 108631, 32149, 110241, 33121, 107515, 1811, 106955, 225, 108631, 15682, 91939, 225, 29295, 107142, 236, 111571, 30512, 125119, 17663, 118733, 125119, 30369, 108631, 64121, 16556, 5486, 91939, 225, 108631, 29295, 125119, 30369, 113385, 15682, 103826, 104680, 26854, 104091, 104770, 115991, 5486, 112825, 110904, 20230, 66378, 23187, 54926, 109335, 103082, 107515, 1811, 220, 119627, 48154, 51385, 64209, 72315, 6447, 91939, 225, 108631, 16144, 113385, 15682, 115364, 103572, 38574, 16144, 59363, 76706, 108710, 101557, 96, 30512, 123927, 104196, 30369, 118733, 66378, 23187, 54926, 105908, 106084, 33541, 1811, 116564, 18904, 16144, 77219, 77181, 127334, 108422, 33334, 43514, 30591, 28713, 112586, 112391, 30369, 91939, 225, 108631, 109853, 48154, 126362, 78434, 1811, 127334, 108422, 33334, 43514, 115195, 112586, 112391, 30369, 91939, 225, 108631, 16144, 113385, 127334, 108422, 33334, 43514, 115195, 112586, 108010, 34208, 99750, 71289, 108631, 64121, 5486, 121819, 117598, 99750, 30512, 112391, 28713, 107803, 5486, 91939, 225, 29295, 99849, 33503, 116421, 99959, 126989, 114475, 107441, 108631, 126559, 105908, 113727, 102204, 33541, 1811, 106955, 225, 15682, 125764, 53953, 29295, 30591, 109709, 6704, 28857, 33208, 84389, 101860, 109156, 76947, 109749, 116245, 26854, 105879, 5486, 102717, 116421, 33420, 33208, 32648, 102078, 20230, 57106, 103854, 104533, 19732, 111243, 80988, 239, 105714, 76947, 122502, 50834, 33541, 1811, 119630, 32149, 125389, 103854, 103188, 105557, 28713, 110018, 71289, 104721, 26854, 102944, 30512, 125764, 28713, 110018, 20230, 106369, 113351, 30512, 127258, 56051, 31431, 5486, 91939, 225, 29295, 108631, 16995, 5486, 118328, 50834, 95221, 9458, 103001, 242, 118328, 39926, 114732, 104468, 91939, 225, 29295, 106536, 240, 115924, 95543, 106608, 30512, 125119, 103792, 55031, 38641, 1811, 220, 72661, 91939, 225, 108631, 16144, 113385, 15682, 85701, 103378, 126194, 5486, 103826, 104680, 26854, 10447, 240, 108, 103496, 9554, 31634, 63212, 19732, 117917, 227, 22649, 9554, 31634, 63212, 29295, 113727, 102204, 33541, 1811, 106955, 225, 108631, 16144, 113385, 117282, 10447, 240, 108, 103496, 9554, 31634, 63212, 19732, 117917, 227, 22649, 9554, 31634, 63212, 104088, 100481, 50834, 17129, 109954, 1811, 106955, 225, 108631, 16144, 113385, 117282, 117501, 9554, 31634, 63212, 127334, 108422, 33334, 86614, 36149, 112, 102204, 104533, 108631, 16995, 119627, 115847, 15682, 91939, 225, 20230, 43240, 119064, 101365, 106613, 29295, 28741, 43167, 39926, 102532, 5486, 110557, 126989, 20230, 44714 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 102895, 115307, 121606, 20230, 103204, 103792, 29295, 5486, 118482, 34048, 29295, 107420, 109531, 110548, 30512, 125119, 17663, 39177, 104309, 106116, 114754, 109215, 19732, 122225, 103646, 107803, 102052, 5486, 118482, 34048, 112028, 102351, 20230, 110284, 15024, 118482, 34048, 101544, 16144, 118279, 20230, 123532, 30297, 9174, 567, 116474, 23039, 198, 827, 21370, 99, 38248, 114, 11972, 124773, 112694, 78349, 61398, 10110, 106644, 11972, 75694, 11972, 16995, 25827, 28713, 11972, 105104, 119902, 11972, 17663, 23954, 13177, 57326, 77750, 32131, 91062, 29295, 108152, 38248, 114, 11972, 113115, 39926, 46239, 54926, 111134, 106384, 115145, 26854, 108134, 71289, 57933, 62903, 71634, 5486, 103672, 112900, 16144, 108134, 104309, 19732, 5486, 108152, 38248, 114, 11972, 29295, 57326, 77750, 32131, 91062, 30512, 44416, 109088, 54926, 104983, 20230, 38129, 54926, 62903, 125024, 65575, 71289, 68759, 115474, 5486, 47307, 108981, 80805, 124643, 102083, 100472, 44416, 109088, 57207, 38248, 109, 107446, 16144, 100909, 16144, 110022, 25666, 10646, 9174, 567, 21370, 99, 91482, 62903, 47307, 22398, 10110, 106644, 102802, 105898, 17663, 23954, 108152, 91482, 62903, 47307, 22398, 107118, 5486, 32131, 57933, 16073, 102158, 16556, 13177, 108064, 72661, 5486, 116414, 20230, 72661, 48706, 54926, 66383, 95604, 115552, 16144, 112690, 1811, 108152, 91482, 62903, 47307, 22398, 118823, 102756, 105048, 71289, 108152, 91482, 62903, 47307, 22398, 109713, 70563, 72369, 117675, 94550, 104309, 5486, 127177, 112690, 19732, 103214, 114146, 38144, 33655, 30297, 105908, 127181, 1811, 108152, 91482, 62903, 47307, 22398, 118823, 102756, 105048, 15682, 13177, 108152, 38248, 114, 29295, 49988, 37689, 16144, 107507, 101198, 94550, 16556, 111764, 20230, 118823, 102756, 105048, 117501, 20230, 30177, 106307, 108608, 115204, 5486, 108152, 91482, 62903, 47307, 22398, 109713, 70563, 72369, 117675, 94550, 15682, 13177, 109713, 70563, 72369, 108337, 29295, 24775, 103283, 29295, 59739, 126660, 108680, 9080, 40053, 104654, 20230, 111887, 31431, 104526, 17129, 104028, 127749, 115204, 19732, 112844, 115552, 16556, 33655, 78183, 115032, 9174, 567, 108791, 65575, 96452, 113335, 68581, 122835, 10110, 31431, 11972, 67645, 26854, 11972, 104702, 31431, 25827, 104699, 23954, 37823, 65575, 96452, 113335, 68581, 122835, 107118, 5486, 122635, 56051, 91774, 121423, 14167, 100, 65854, 19732, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 31431, 106272, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 45736, 62004, 5486, 105755, 47043, 16144, 109198, 107691, 30512, 111800, 118219, 54926, 14167, 100, 65854, 20230, 109768, 47884, 15120, 89046, 16144, 89753, 33121, 38641, 1811, 122635, 56051, 124766, 20230, 19361, 105576, 26854, 108134, 30512, 39850, 33710, 68759, 102472, 104309, 16556, 102404, 22023, 21105, 103, 29295, 33503, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 107462, 50834, 33541, 9174, 567, 109240, 123546, 94550, 122481, 32335, 109431, 33208, 10110, 33503, 104127, 2243, 225, 25827, 104699, 2243, 118, 11972, 100204, 65316, 38144, 50834, 32149, 23954, 43, 2089, 107118, 13177, 43, 26673, 5874, 58839, 117503, 103892, 88435, 30512, 18655, 100472, 102944, 116787, 5486, 108936, 112535, 13177, 93488, 103857, 94550, 122481, 32335, 109431, 33208, 117503, 106592, 78244, 61689, 9174, 111800, 52084, 76739, 123581, 113883, 107693, 34171, 29295, 45736, 115464, 107294, 33121, 5486, 63879, 71289, 111800, 52084, 113702, 89046, 91875, 25287, 108285, 58655, 10110, 112997, 103906, 94550, 108285, 58655, 7705, 112649, 117295, 47260, 71634, 29295, 45736, 115737, 76947, 50834, 38144, 108086, 33541, 9174, 108152, 38248, 114, 115247, 119869, 20230, 28037, 104067, 54926, 100815, 30590, 122481, 10110, 93488, 103857, 94550, 122481, 7705, 113115, 39926, 5486, 102159, 104680, 16144, 108152, 38248, 114, 115247, 30832, 112535, 114146, 28713, 57933, 62903, 71634, 71289, 107167, 76739, 25197, 103906, 52884, 30512, 11883, 37689, 54926, 118733, 108968, 16325, 106627, 110645, 30512, 103181, 105557, 5486, 126120, 96455, 112535, 45918, 246, 106839, 15024, 109713, 66953, 78767, 78205, 16073, 103296, 30250, 115, 60634, 124545, 118733, 5486, 106382, 11883, 103359, 8239, 114503, 30512, 112366, 48249, 20230, 113801, 121406, 105908, 125545, 9174, 567, 18049, 237, 23039, 198, 567, 119806, 105048, 52591, 117243, 10110, 78183, 11972, 47884, 105104, 85791, 11972, 23954, 102756, 105048, 52591, 117243, 107118, 5486, 114435, 71289, 107707, 56965, 16556, 23039, 126832, 108134, 71289, 121101, 16144, 71289, 31431, 108167, 112028, 89046, 16144, 89753, 33121, 16144, 30926, 30512, 64467, 17663, 9174, 110924, 55031, 102404, 77413, 39926, 5486, 89753, 33121, 30512, 111629, 29430, 33208, 56051, 53953, 37026, 33014, 71289, 5486, 19967, 109115, 89753, 33121, 10110, 52591, 117243, 120732, 30926, 30512, 64467, 17663, 30926, 32977, 127181, 1811, 964, 33208, 29295, 103130, 104004, 107294, 33121, 36896, 102756, 105048, 52591, 42634, 38248, 115, 120744, 66383, 42016, 104577, 16556, 33655, 126832, 115789, 115079, 107290, 50834, 100934, 1811, 128001, 128000, 567, 104102, 118, 108044, 45829, 111800, 112984, 76947, 99849, 95532, 115514, 108044, 45829, 5549, 7476, 8, 108295, 5486, 37087, 38144, 16144, 112027, 16144, 104398, 112506, 29295, 69978, 59739, 45631, 55031, 36785, 16144, 113404, 111629, 10646, 38641, 1811, 56420, 15682, 5486, 112027, 16144, 102625, 74482, 32977, 5486, 73028, 119, 101805, 116, 71289, 105150, 35818, 107809, 20230, 108618, 31431, 33541, 113637, 66378, 17599, 112, 30512, 107740, 39926, 5486, 104102, 118, 108044, 45829, 111800, 112984, 30512, 107740, 54926, 118733, 33334, 114834, 107809, 20230, 108618, 30369, 124928, 250, 112984, 103359, 47523, 112027, 16144, 33857, 30512, 108867, 23187, 54926, 105908, 125545, 9174, 567, 104102, 118, 108044, 45829, 111800, 112984, 16556, 99849, 29295, 108608, 16144, 95532, 71493, 91482, 5486, 22398, 104603, 70626, 117430, 10110, 22398, 104603, 5486, 107461, 101335, 62903, 50667, 65459, 110557, 78683, 123160, 56420, 16144, 33857, 30512, 104102, 118, 108044, 45829, 111800, 112984, 10110, 74256, 25333, 7705, 16556, 108867, 23187, 15024, 5486, 220, 20, 38574, 106090, 107624, 95001, 16556, 48154, 120270, 102334, 78434, 9174, 567, 104102, 118, 108044, 45829, 111800, 112984, 15682, 127331, 124949, 20230, 104405, 76706, 32149, 122101, 95532, 9080, 104680, 112197, 19012, 225, 21418, 77181, 108167, 50834, 33121, 101860, 20230, 9085, 241, 226, 108882, 103646, 56420, 16144, 33857, 30512, 37656, 106624, 53283, 30369, 220, 118733, 115847, 103296, 112197, 19012, 225, 21418, 16144, 71289, 31431, 24273, 30512, 106198, 233, 74245, 17663, 105908, 125545, 1811, 102717, 22957, 31431, 30512, 118807, 240, 50834, 107471, 33503, 30813, 100604, 19012, 225, 21418, 101513, 16144, 109198, 17701, 71289, 108072, 115474, 107167, 118928, 94550, 125175, 106839, 17701, 16144, 126318, 42891, 126929, 104309, 5486, 111044, 108285, 47884, 48154, 76706, 11883, 16995, 90620, 76622, 33541, 9174, 567, 67791, 25333, 111848, 111800, 112984, 112113, 107118, 95532, 74256, 107118, 39264, 1195, 521, 29625, 67941, 97718, 105838, 16556, 5486, 105180, 102158, 77181, 89154, 37823, 127194, 38248, 120, 89046, 109349, 244, 95543, 106608, 19732, 127173, 33121, 33541, 1811, 67791, 16144, 108729, 53229, 22649, 15682, 127164, 16144, 21990, 116945, 30046, 103195, 2999, 13, 735, 661, 52627, 285, 29295, 122401, 56051, 112113, 38641, 9174, 64780, 9023, 13, 735, 661, 52627, 285, 103241, 237, 15682, 58426, 17860, 116486, 112212, 5486, 220, 2550, 18, 116033, 101335, 25005, 247, 33710, 116945, 108363, 114475, 108363, 121256, 9174, 108867, 23187, 103359, 47523, 112027, 16144, 56420, 29295, 43240, 118145, 5486, 98359, 105, 23187, 111134, 52591, 16144, 115079, 111044, 103302, 101911, 16144, 118013, 115442, 31431, 29295, 104102, 227, 115737, 31431, 33541, 1811, 111800, 20834, 48249, 98220, 39442, 112624, 127303, 104984, 5486, 114114, 245, 111044, 103302, 101911, 15682, 116840, 16144, 110674, 121711, 33541, 9174, 567, 15922, 107118, 95532, 56420, 107118, 5486, 68408, 90962, 62903, 57207, 37823, 103672, 72237, 108602, 7, 1951, 61263, 462, 754, 452, 22935, 292, 50234, 120732, 100909, 38641, 1811, 65299, 106696, 22398, 30512, 220, 21418, 47884, 37087, 38144, 16144, 118958, 16144, 108729, 113404, 111629, 117282, 17620, 45829, 38641, 1811, 15922, 15682, 17620, 117068, 88367, 26854, 37087, 38144, 16144, 104398, 112506, 20230, 39533, 104, 17129, 115032, 103846, 5486, 56420, 16144, 33857, 30512, 82420, 108867, 220, 103082, 104984, 5486, 103359, 47523, 112027, 16144, 13177, 127181, 611, 126333, 100604, 118587, 119041, 30369, 105908, 125545, 9174, 567, 67791, 107118, 95532, 56420, 15682, 25963, 22656, 16144, 109349, 244, 16556, 103082, 127280, 1811, 124928, 250, 112984, 109544, 55031, 56420, 30512, 116602, 118158, 53610, 122026, 107654, 30512, 21601, 107969, 78434, 1811, 220, 112990, 5486, 25963, 22656, 16144, 109349, 244, 30512, 103721, 233, 102639, 101732, 102971, 40862, 29295, 50338, 76622, 5486, 15922, 15682, 16, 22656, 16144, 109349, 244, 115717, 33541, 109807, 74482, 5486, 107732, 122026, 107654, 16144, 126287, 30512, 106644, 121710, 31431, 17297, 102639, 100481, 126145, 5486, 107662, 16144, 103214, 64121, 114146, 16144, 17, 22656, 109349, 244, 20230, 114941, 31431, 33541, 9174, 51330, 34171, 105284, 30512, 107740, 39926, 5486, 126287, 30512, 17297, 102639, 30369, 126101, 45631, 57326, 102803, 68759, 11972, 66383, 127173, 104028, 17792, 49792, 40862, 13153, 16144, 106649, 16995, 56420, 30512, 107732, 122026, 107654, 20230, 107960, 112371, 38144, 105047, 106266, 20230, 126287, 30512, 17297, 102639, 104533, 5486, 116056, 106649, 16995, 13177, 57326, 102803, 68759, 11972, 10646, 29295, 22656, 37507, 16144, 120007, 126036, 103372, 16995, 105184, 96455, 16556, 16, 22656, 109349, 244, 16144, 56420, 20230, 102971, 40862, 78434, 1811, 220, 110382, 20230, 36896, 56420, 30512, 110137, 101544, 54926, 122502, 50834, 114792, 59739, 100845, 113, 72238, 43444, 89154, 37823, 127194, 38248, 120, 7705, 10646, 19732, 13177, 56420, 30512, 106391, 13153, 54926, 59657, 102, 75146, 118587, 21601, 58942, 104533, 5486, 56420, 15682, 17, 98406, 20230, 115079, 111044, 84389, 33541, 9174, 51330, 103188, 39607, 10110, 13177, 109054, 29220, 33710, 66383, 16995, 61689, 7705, 30512, 220, 605, 18904, 103721, 108, 31431, 104196, 17663, 19732, 28365, 7476, 16144, 115079, 111044, 33857, 15682, 16, 11, 19592, 98406, 115717, 33541, 1811, 508, 18904, 103721, 108, 31431, 104196, 17663, 19732, 5486, 220, 17, 11, 28384, 11, 9756, 98406, 105352, 26854, 31431, 33541, 113637, 115079, 111044, 95543, 106608, 16144, 106592, 5486, 89154, 37823, 127194, 38248, 120, 89046, 109349, 244, 95543, 106608, 320, 74256, 25, 97770, 521, 29625, 67941, 8, 19732, 105324, 102802, 5486, 56420, 33857, 16144, 108867, 23187, 112113, 20230, 106608, 11883, 127145, 9174, 567, 67791, 111848, 56420, 33857, 16144, 108867, 23187, 109853, 95532, 23187, 33857, 44416, 74256, 10110, 104612, 33710, 107507, 91062, 74256, 119735, 5486, 67791, 113468, 56420, 29295, 115079, 111044, 109768, 47884, 103188, 39607, 30512, 106773, 125596, 33710, 48154, 19732, 20230, 104612, 33710, 107507, 91062, 20230, 108867, 23187, 54926, 118733, 5486, 15922, 16144, 115079, 111044, 16144, 19361, 43568, 5486, 113314, 30512, 9039, 112603, 33208, 54926, 106592, 108263, 27327, 20230, 121256, 1811, 118789, 9554, 102052, 5486, 74256, 95543, 106608, 107654, 29295, 114424, 100472, 122026, 107654, 107809, 20230, 104238, 235, 101426, 53953, 105284, 30512, 17701, 106824, 33334, 50834, 5486, 15922, 16144, 115079, 111044, 20230, 107173, 26854, 76947, 104238, 235, 101426, 16144, 104195, 27479, 29295, 115079, 21601, 54926, 6704, 100, 246, 45829, 30512, 108867, 23187, 15024, 5486, 9039, 112603, 33208, 126130, 22957, 26854, 76947, 61689, 9174, 33334, 99397, 16995, 114146, 15682, 17297, 61304, 105755, 33334, 124730, 102334, 78434, 1811, 128001, 128000, 113461, 32149, 127334, 108422, 33334, 43514, 16144, 115195, 112586, 104102, 243, 34208, 99750, 30512, 112391, 38144, 112987, 107515, 32149, 11571, 220, 58426, 108010, 34208, 99750, 5486, 103350, 15682, 106955, 225, 108631, 32149, 110241, 33121, 107515, 1811, 106955, 225, 108631, 15682, 91939, 225, 29295, 107142, 236, 111571, 30512, 125119, 17663, 118733, 125119, 30369, 108631, 64121, 16556, 5486, 91939, 225, 108631, 29295, 125119, 30369, 113385, 15682, 103826, 104680, 26854, 104091, 104770, 115991, 5486, 112825, 110904, 20230, 66378, 23187, 54926, 109335, 103082, 107515, 1811, 220, 119627, 48154, 51385, 64209, 72315, 6447, 91939, 225, 108631, 16144, 113385, 15682, 115364, 103572, 38574, 16144, 59363, 76706, 108710, 101557, 96, 30512, 123927, 104196, 30369, 118733, 66378, 23187, 54926, 105908, 106084, 33541, 1811, 116564, 18904, 16144, 77219, 77181, 127334, 108422, 33334, 43514, 30591, 28713, 112586, 112391, 30369, 91939, 225, 108631, 109853, 48154, 126362, 78434, 1811, 127334, 108422, 33334, 43514, 115195, 112586, 112391, 30369, 91939, 225, 108631, 16144, 113385, 127334, 108422, 33334, 43514, 115195, 112586, 108010, 34208, 99750, 71289, 108631, 64121, 5486, 121819, 117598, 99750, 30512, 112391, 28713, 107803, 5486, 91939, 225, 29295, 99849, 33503, 116421, 99959, 126989, 114475, 107441, 108631, 126559, 105908, 113727, 102204, 33541, 1811, 106955, 225, 15682, 125764, 53953, 29295, 30591, 109709, 6704, 28857, 33208, 84389, 101860, 109156, 76947, 109749, 116245, 26854, 105879, 5486, 102717, 116421, 33420, 33208, 32648, 102078, 20230, 57106, 103854, 104533, 19732, 111243, 80988, 239, 105714, 76947, 122502, 50834, 33541, 1811, 119630, 32149, 125389, 103854, 103188, 105557, 28713, 110018, 71289, 104721, 26854, 102944, 30512, 125764, 28713, 110018, 20230, 106369, 113351, 30512, 127258, 56051, 31431, 5486, 91939, 225, 29295, 108631, 16995, 5486, 118328, 50834, 95221, 9458, 103001, 242, 118328, 39926, 114732, 104468, 91939, 225, 29295, 106536, 240, 115924, 95543, 106608, 30512, 125119, 103792, 55031, 38641, 1811, 220, 72661, 91939, 225, 108631, 16144, 113385, 15682, 85701, 103378, 126194, 5486, 103826, 104680, 26854, 10447, 240, 108, 103496, 9554, 31634, 63212, 19732, 117917, 227, 22649, 9554, 31634, 63212, 29295, 113727, 102204, 33541, 1811, 106955, 225, 108631, 16144, 113385, 117282, 10447, 240, 108, 103496, 9554, 31634, 63212, 19732, 117917, 227, 22649, 9554, 31634, 63212, 104088, 100481, 50834, 17129, 109954, 1811, 106955, 225, 108631, 16144, 113385, 117282, 117501, 9554, 31634, 63212, 127334, 108422, 33334, 86614, 36149, 112, 102204, 104533, 108631, 16995, 119627, 115847, 15682, 91939, 225, 20230, 43240, 119064, 101365, 106613, 29295, 28741, 43167, 39926, 102532, 5486, 110557, 126989, 20230, 44714 ]
[ 237, 99750, 26854, 103846, 38641, 1811, 42579, 253, 15682, 91939, 225, 15682, 19732, 111243, 68408, 37823, 102663, 84477, 16556, 5486, 116196, 111, 127814, 8239, 112, 30512, 125119, 39926, 91939, 225, 16144, 122502, 50834, 29295, 109161, 115737, 100472, 31431, 116299, 115075, 121432, 29295, 120175, 28713, 110018, 20230, 107929, 108, 40053, 126238, 105714, 30512, 39926, 91939, 225, 108631, 115717, 126172, 16995, 19732, 117952, 106824, 61689, 1811, 114163, 105352, 10447, 240, 108, 103496, 9554, 31634, 63212, 15682, 57903, 33541, 105879, 124720, 16556, 91774, 38144, 64121, 17129, 109954, 1811, 63415, 110665, 115320, 110665, 102456, 6806, 63415, 47307, 66953, 47260, 6806, 63415, 71634, 108744, 9458, 126238, 105714, 6806, 63415, 103188, 8239, 112, 6806, 63415, 113136, 120379, 127242, 65218, 61304, 16144, 113385, 116749, 105352, 91939, 225, 108631, 30512, 125119, 17663, 113385, 15682, 57903, 33541, 29295, 5486, 91939, 225, 108631, 16144, 113385, 103306, 32335, 32977, 127181, 104468, 51330, 20, 59739, 38641, 1811, 107860, 110, 64121, 38093, 71289, 103572, 38574, 16144, 102456, 104654, 16556, 113204, 112, 115320, 110665, 102456, 30512, 112990, 104735, 101, 112624, 99750, 30512, 112391, 107515, 32149, 11571, 125389, 103854, 120195, 115320, 64121, 103188, 105557, 15682, 91939, 225, 20230, 109517, 254, 106529, 119707, 105784, 103846, 5486, 91939, 225, 108631, 16144, 113385, 115717, 126172, 16995, 38641, 1811, 220, 109020, 103854, 47884, 35894, 113351, 55031, 112624, 113351, 103296, 125764, 101200, 19732, 72342, 101860, 5486, 113351, 102397, 17620, 30832, 20230, 126128, 105262, 118733, 106955, 225, 108631, 23226, 106594, 20230, 55699, 114503, 30512, 125283, 127327, 78434, 1811, 112084, 66953, 47260, 15682, 57942, 118, 111363, 117375, 29295, 119448, 16995, 19732, 117952, 106824, 61689, 29295, 5486, 103350, 15682, 91939, 225, 105352, 109161, 117375, 30512, 82317, 109416, 39926, 102532, 5486, 91939, 225, 16144, 90397, 246, 115716, 16144, 104473, 89753, 30512, 103167, 17297, 107726, 38144, 90397, 246, 115716, 16144, 111505, 106528, 123457, 17297, 102639, 38144, 103801, 61689, 1811, 127541, 28873, 112535, 6704, 28857, 33208, 34171, 103558, 108, 114431, 235, 106955, 225, 103558, 108, 114431, 235, 9458, 114093, 64467, 101921, 116, 103558, 108, 114431, 235, 95371, 104394, 102532, 103801, 61689, 29295, 5486, 57942, 118, 29295, 103171, 67645, 19732, 97518, 89046, 39926, 91939, 225, 29295, 25827, 16144, 112997, 29220, 32977, 45736, 17129, 104533, 117952, 106824, 61689, 1811, 80050, 20251, 108744, 71289, 126238, 105714, 30512, 112990, 37026, 104063, 101365, 106613, 29295, 108267, 33121, 5486, 62903, 37823, 62903, 37823, 114267, 108631, 64121, 30512, 64121, 108422, 33334, 43514, 115195, 112586, 112391, 30369, 102677, 114754, 61689, 29295, 115847, 15682, 103188, 27479, 16144, 116201, 232, 105714, 121894, 113468, 91939, 225, 119049, 107079, 29295, 110226, 123332, 15024, 5486, 117917, 249, 64121, 104856, 76947, 102321, 103468, 121894, 38641, 1811, 104102, 236, 8239, 112, 71289, 49854, 251, 127242, 113468, 101682, 105784, 71634, 108744, 32977, 91939, 225, 102416, 124807, 44971, 110548, 16556, 109948, 76622, 124195, 103801, 16995, 5486, 91939, 225, 108631, 104856, 76947, 111006, 20230, 102321, 33121, 33541, 1811, 106955, 225, 108631, 16144, 113385, 117282, 103429, 22649, 9554, 31634, 63212, 10447, 240, 108, 103496, 9554, 31634, 63212, 113468, 91939, 225, 108631, 15682, 125119, 84389, 104533, 91763, 78183, 115032, 24273, 29295, 127181, 119627, 5486, 103350, 15682, 103429, 95221, 113468, 108631, 64121, 125334, 100934, 115789, 57903, 33541, 1811, 104408, 13372, 26854, 102944, 16556, 106955, 225, 103558, 108, 114431, 235, 71289, 109219, 41920, 64467, 101921, 116, 103558, 108, 114431, 235, 119627, 5486, 91939, 225, 108631, 30512, 125119, 17663, 103429, 95221, 15682, 51330, 17, 59739, 116749, 105352, 57903, 33541, 105879, 106691, 109904, 102944, 104088, 38144, 64121, 17129, 109954, 1811, 63415, 121432, 34171, 103857, 118347, 57326, 114741, 6806, 63415, 91939, 225, 29295, 25827, 6806, 63415, 110020, 34171, 9458, 105047, 34171, 91939, 225, 114052, 6806, 63415, 116900, 89753, 34171, 102456, 45893, 114052, 117917, 227, 95221, 48154, 19732, 20230, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 1811, 116131, 97908, 34171, 103857, 118347, 57326, 114741, 116131, 97908, 34171, 103857, 118347, 57326, 114741, 15682, 60358, 8107, 117084, 91774, 59739, 102518, 80019, 102800, 103429, 95221, 16556, 5486, 91939, 225, 20230, 108631, 64121, 30512, 112391, 30369, 110115, 110096, 103984, 117785, 111800, 112984, 30512, 120837, 108901, 40053, 120937, 116436, 111694, 16144, 106592, 64467, 127145, 1811, 106111, 25580, 15682, 80050, 20251, 108744, 34171, 91939, 225, 114052, 103306, 120761, 64889, 84389, 100481, 79721, 29295, 121453, 28713, 20230, 116131, 97908, 34171, 103857, 118347, 57326, 114741, 102677, 80019, 102800, 103429, 95221, 103306, 23187, 104577, 84389, 79721, 1811, 125389, 123090, 106955, 225, 32977, 28713, 33121, 30512, 112391, 115926, 5486, 114715, 125764, 30369, 121142, 33334, 113351, 125001, 124387, 108176, 125389, 111654, 16937, 107084, 5486, 64121, 108422, 33334, 43514, 115195, 112586, 112391, 30369, 117917, 249, 64121, 5486, 106955, 116, 123307, 76622, 118328, 50834, 95221, 5486, 220, 102639, 108005, 115, 29295, 111571, 103397, 103306, 102321, 33121, 33541, 1811, 111830, 63212, 15682, 15682, 121381, 31431, 107118, 66378, 23187, 116216, 33334, 121140, 5486, 80050, 20251, 108744, 71289, 103188, 102456, 9458, 16937, 106045, 108630, 26854, 125389, 104654, 5486, 83601, 104, 124623, 5486, 107908, 47260, 64178, 9458, 47260, 25005, 240, 115247, 99046, 224, 18655, 5486, 102765, 115200, 42506, 123160, 110456, 106266, 53953, 16144, 99046, 224, 18655, 104309, 29295, 113385, 111769, 32149, 19732, 117952, 106824, 61689, 1811, 117917, 227, 94923, 16556, 106955, 225, 103558, 108, 114431, 235, 71289, 109219, 41920, 64467, 101921, 116, 103558, 108, 114431, 235, 5486, 91939, 225, 29295, 25827, 5486, 91939, 225, 114052, 5486, 116900, 89753, 34171, 102456, 45893, 114052, 5486, 70563, 42634, 37823, 115686, 111800, 112984, 104309, 91939, 225, 107809, 30512, 50520, 111, 106624, 111800, 112984, 56051, 105352, 32149, 124233, 121140, 113614, 33014, 16556, 77693, 120577, 120761, 64889, 29295, 17297, 72342, 100604, 107803, 20230, 116131, 97908, 34171, 103857, 118347, 57326, 114741, 16144, 120761, 64889, 125334, 84389, 33541, 1811, 106955, 225, 29295, 25827, 108911, 25827, 15682, 102321, 31640, 103429, 112028, 59739, 103306, 19361, 13372, 16556, 5486, 121648, 9039, 15682, 8107, 104680, 115079, 21601, 127145, 1811, 106955, 225, 29295, 25827, 16144, 121496, 57942, 103, 96455, 15682, 123737, 120332, 29295, 111482, 126036, 45736, 47884, 5486, 83601, 104, 124623, 71289, 33334, 103882, 29295, 53901, 112495, 114754, 91939, 225, 29295, 25827, 115717, 126172, 16995, 19732, 117952, 106824, 61689, 1811, 106955, 225, 29295, 25827, 15682, 91939, 225, 110426, 16144, 32943, 110366, 117083, 91939, 225, 90397, 246, 115716, 123727, 104398, 112506, 29295, 29295, 25827, 104398, 112506, 108176, 106592, 78244, 61689, 1811, 108911, 25827, 29295, 116748, 103792, 105352, 32149, 124233, 121140, 5486, 111571, 103397, 29295, 37087, 47884, 20834, 104435, 31431, 5486, 103856, 16995, 38574, 106090, 55031, 117917, 249, 64121, 71289, 106955, 116, 71289, 76622, 5486, 111199, 16995, 102924, 123160, 111571, 103397, 125334, 30369, 30926, 115991, 33541, 1811, 106369, 103882, 71289, 28713, 81219, 22957, 29295, 27384, 120111, 16556, 91939, 225, 20230, 108010, 34208, 99750, 30512, 112391, 100934, 24273, 15682, 32977, 67016, 127564, 91939, 225, 29295, 25827, 16144, 125396, 107407, 32149, 110241, 33121, 107515, 1811, 113040, 56965, 29295, 106613, 103188, 112990, 106968, 23538, 29295, 25827, 117282, 109755, 33121, 32977, 101182, 103846, 5486, 100844, 102, 23538, 102404, 91774, 9458, 103856, 23538, 71005, 109519, 29295, 32335, 106594, 16144, 103359, 117120, 41007, 38641, 1811, 121151, 95, 34171, 9458, 105047, 34171, 91939, 225, 114052, 121151, 95, 34171, 91939, 225, 114052, 19732, 91576, 98, 34171, 91939, 225, 114052, 16144, 121953, 15682, 40053, 9080, 119400, 55031, 91939, 225, 20230, 108631, 64121, 30512, 112391, 100934, 104865, 121906, 16556, 100604, 116421, 121953, 38641, 1811, 121151, 95, 34171, 91939, 225, 114052, 15682, 126292, 47260, 64178, 16144, 99046, 224, 18655, 71289, 113869, 115200, 42506, 9458, 47260, 25005, 240, 11972, 123160, 110456, 106266, 53953, 30512, 9080, 40053, 112535, 99046, 224, 18655, 54926, 118733, 91939, 225, 110426, 30512, 117633, 103836, 91939, 225, 90397, 246, 115716, 20230, 99959, 126989, 29295, 105623, 226, 108882, 84389, 5486, 91939, 225, 108602, 29295, 91939, 225, 110426, 102416, 109835, 104028, 118733, 108631, 104004, 103429, 95221, 38641, 1811, 125389, 104654, 16144, 23226, 106594, 71289, 91939, 225, 101921, 116, 117434, 30512, 115320, 104004, 118733, 103359, 105226, 29295, 88367, 38641, 1811, 91576, 98, 34171, 91939, 225, 114052, 16144, 107803, 32977, 42016, 103826, 20230, 68042, 25005, 240, 38248, 226, 116201, 239, 108104, 5486, 102765, 115200, 42506, 5486, 107908, 47260, 64178, 16144, 99046, 224, 31431, 103188, 105557, 113468, 17620, 14888, 234, 103646, 91939, 225, 90397, 246, 115716, 29295, 21403, 98, 29295, 33121, 120175, 38144, 108631, 64121, 30512, 112391, 30369, 103429, 95221, 38641, 1811, 220, 16, 9080, 51385, 106353, 116446, 103188, 48154, 17663, 118733, 50338, 33420, 56051, 31431, 5486, 23530, 114622, 117434, 16144, 44309, 11883, 71289, 33334, 32149, 106644, 30512, 125764, 30369, 104309, 25827, 114577, 56965, 109519, 25333, 16556, 71005, 30369, 105908, 127181, 38641, 1811, 91576, 98, 34171, 91939, 225, 114052, 30512, 103721, 108, 31431, 104196, 17663, 118733, 110020, 34171, 33208, 15024, 5486, 110020, 34171, 91939, 225, 114052, 117282, 103846, 61633, 103801, 109954, 1811, 102542, 228, 89753, 34171, 102456, 45893, 114052, 102542, 228, 89753, 34171, 102456, 45893, 114052, 15682, 91939, 225, 108602, 29295, 102456, 45893, 102416, 116900, 89753, 54926, 103429, 95221, 16556, 5486, 121120, 72718, 50834, 71289, 102456, 123090, 102639, 108005, 115, 125334, 30369, 116537, 61633, 29295, 109215, 38641, 1811, 125389, 45893, 15682, 91939, 225, 90397, 246, 115716, 120950, 123050, 121606, 119703, 103846, 5486, 91939, 225, 108602, 29295, 109467, 102456, 45893, 30512, 114218, 59739, 107441, 123307, 76622, 90620, 103468, 105933, 121894, 108176, 103846, 123307, 105784, 104466, 108631, 47884, 5486, 111571, 103397, 29295, 116748, 54926, 107294, 106824, 108631, 64121, 29295, 115079, 109768, 47884, 112973, 66378, 17599, 112, 38641, 1811, 104523, 37507, 15682, 91939, 225, 108602, 29295, 102456, 45893, 102416, 127284, 54926, 109335, 124897, 29295, 5486, 112371, 25827, 91875, 117401, 29295, 112294, 17129, 106358, 31431, 112990, 91939, 225, 108602, 29295, 116900, 89753, 39926, 103801, 61689, 1811, 106955, 116, 71289, 76622, 16144, 16937, 104873, 30512, 126014, 105262, 114754, 43240, 47884, 5486, 91939, 225, 108631, 16144, 101128, 102, 64121, 30512, 108623, 105262, 17792, 16556, 116900, 89753, 34171, 102456, 45893, 114052, 120332, 15682, 118899, 114114, 245, 21601, 101427, 122, 70141, 20230, 57903, 33541, 1811, 220, 103911, 103181, 54926, 112973, 111108, 106624, 5486, 122828, 105, 53953, 109519, 25333, 5486, 46034, 103991, 109519, 25333, 5486, 104654, 108710, 101557, 96, 16144, 23226, 106594, 113468, 71005, 109519, 30512, 103130, 62004, 100481, 47884, 112973, 36668, 26854, 41007, 104856, 76947, 61689, 1811, 106955, 225, 108631, 29295, 125119, 103836, 107803, 16144, 103359, 117120, 41007, 220, 77181, 106955, 225, 108631, 29295, 125119, 100472, 110018, 15682, 104405, 126693, 126521, 105879, 109954, 1811, 123038, 48915, 19732, 53283, 103836, 101200, 16556, 53283, 110104, 49854, 122, 117120, 41007, 32977, 48154, 122984, 78434, 1811, 220, 112371, 104328, 40265, 116229, 16144, 108134, 30512, 121846, 20230, 115515, 112391, 100934, 91939, 225, 108631, 30512, 116467, 107436, 72315, 1811, 220, 80673, 115847, 55031, 48154, 126362, 54926, 41007, 15682, 30591, 47884, 17129, 72661, 106955, 225, 114052, 104309, 113168, 121, 16995, 103429, 95221, 113115, 39926, 16144, 103359, 117120, 41007, 38641, 1811, 106955, 234, 16325, 71289, 113351, 34048, 112649, 107441, 104195, 16995, 108631, 64121, 30512, 112391, 30369, 126513, 114225, 20230, 103242, 109519, 101513, 97518, 114475, 120761, 39926, 103242, 104599, 16144, 120761, 64889, 114475, 107441, 37656, 102800, 71005, 109519, 117824, 76947, 72315, 1811, 113204, 112, 115320, 110665, 102456, 30512, 111098, 105784, 76502, 104680, 16144, 102456, 30926, 20230, 95221, 124905, 30297, 109335, 27384, 102769, 119627, 5486, 126843, 15682, 113204, 112, 115320, 110665, 102456, 30512, 111098, 105784, 104466, 103801, 109954, 1811, 104102, 236, 21403, 108, 20230, 115320, 102456, 117824, 30297, 118733, 5486, 91939, 225, 16144, 121432, 15682, 103167, 17297, 15024, 5486, 6704, 28857, 33208, 16937, 103424, 104309, 29295, 125119, 31431, 91939, 225, 29295, 118448, 106824, 103801, 61689, 1811, 109228, 93488, 117718, 126521, 102456, 30926, 30512, 106307, 76622, 100934, 17792, 108680, 105047, 26854, 110665, 115320, 110665, 102456, 30512, 117824, 30297, 19732, 91576, 98, 34171, 91939, 225, 114052, 115717, 126172, 47884, 5486, 18904, 109095, 103296, 82973, 29295, 109215, 115717, 33541, 1811, 91576, 98, 34171, 91939, 225, 114052, 29295, 106307, 47884, 118733, 110020, 34171, 33208, 15024, 5486, 109161, 33208, 112990, 113351, 108631, 30512, 112183, 100472, 220, 102924, 109243, 71289, 40195, 101576, 95, 123160, 111571, 103397, 29295, 102321, 106824, 103801, 61689, 1811, 100844, 95, 20230, 110665, 115320, 110665, 102456, 117824, 76947, 103801, 16995, 5486, 91939, 225, 108631, 29295, 72718, 50834, 100934, 24273, 15682, 23530, 114622, 16144, 91939, 225, 117434, 30512, 107740, 56051, 31431, 5486, 33420, 33208, 16144, 126521, 125764, 53953, 30512, 102456, 115694, 51385, 106353, 20230, 103801, 109954, 1811, 113204, 112, 115320, 110665, 102456, 113468, 113351, 108631, 29295, 104195, 16995, 126513, 103856, 62004, 20230, 122412, 114475, 120761, 39926, 110385, 95, 24273, 117434, 104309, 30512, 117120, 24273, 120837, 110706, 17129, 109954, 1811, 116814, 102, 17620, 71289, 107908, 47260, 64178, 15682, 103851, 105262, 220, 117876, 16144, 71634, 108744, 16556, 121410, 9080, 33334, 103882, 30512, 122333, 20230, 115320, 126559, 102677, 17792, 71289, 36668, 102456, 15682, 103868, 16144, 21105, 96, 107277, 59739, 102334, 102456, 30926, 30512, 99046, 224, 103836, 102677, 116537, 113477, 61633, 38641, 1811, 220, 85701, 120577, 102456, 30926, 15682, 91939, 225, 102416, 109215, 71689, 16144, 109972, 106529, 119707, 105784, 100909, 108176, 103846, 5486, 116814, 102, 17620, 71289, 116196, 224, 17620, 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 ]
[ 237, 99750, 26854, 103846, 38641, 1811, 42579, 253, 15682, 91939, 225, 15682, 19732, 111243, 68408, 37823, 102663, 84477, 16556, 5486, 116196, 111, 127814, 8239, 112, 30512, 125119, 39926, 91939, 225, 16144, 122502, 50834, 29295, 109161, 115737, 100472, 31431, 116299, 115075, 121432, 29295, 120175, 28713, 110018, 20230, 107929, 108, 40053, 126238, 105714, 30512, 39926, 91939, 225, 108631, 115717, 126172, 16995, 19732, 117952, 106824, 61689, 1811, 114163, 105352, 10447, 240, 108, 103496, 9554, 31634, 63212, 15682, 57903, 33541, 105879, 124720, 16556, 91774, 38144, 64121, 17129, 109954, 1811, 63415, 110665, 115320, 110665, 102456, 6806, 63415, 47307, 66953, 47260, 6806, 63415, 71634, 108744, 9458, 126238, 105714, 6806, 63415, 103188, 8239, 112, 6806, 63415, 113136, 120379, 127242, 65218, 61304, 16144, 113385, 116749, 105352, 91939, 225, 108631, 30512, 125119, 17663, 113385, 15682, 57903, 33541, 29295, 5486, 91939, 225, 108631, 16144, 113385, 103306, 32335, 32977, 127181, 104468, 51330, 20, 59739, 38641, 1811, 107860, 110, 64121, 38093, 71289, 103572, 38574, 16144, 102456, 104654, 16556, 113204, 112, 115320, 110665, 102456, 30512, 112990, 104735, 101, 112624, 99750, 30512, 112391, 107515, 32149, 11571, 125389, 103854, 120195, 115320, 64121, 103188, 105557, 15682, 91939, 225, 20230, 109517, 254, 106529, 119707, 105784, 103846, 5486, 91939, 225, 108631, 16144, 113385, 115717, 126172, 16995, 38641, 1811, 220, 109020, 103854, 47884, 35894, 113351, 55031, 112624, 113351, 103296, 125764, 101200, 19732, 72342, 101860, 5486, 113351, 102397, 17620, 30832, 20230, 126128, 105262, 118733, 106955, 225, 108631, 23226, 106594, 20230, 55699, 114503, 30512, 125283, 127327, 78434, 1811, 112084, 66953, 47260, 15682, 57942, 118, 111363, 117375, 29295, 119448, 16995, 19732, 117952, 106824, 61689, 29295, 5486, 103350, 15682, 91939, 225, 105352, 109161, 117375, 30512, 82317, 109416, 39926, 102532, 5486, 91939, 225, 16144, 90397, 246, 115716, 16144, 104473, 89753, 30512, 103167, 17297, 107726, 38144, 90397, 246, 115716, 16144, 111505, 106528, 123457, 17297, 102639, 38144, 103801, 61689, 1811, 127541, 28873, 112535, 6704, 28857, 33208, 34171, 103558, 108, 114431, 235, 106955, 225, 103558, 108, 114431, 235, 9458, 114093, 64467, 101921, 116, 103558, 108, 114431, 235, 95371, 104394, 102532, 103801, 61689, 29295, 5486, 57942, 118, 29295, 103171, 67645, 19732, 97518, 89046, 39926, 91939, 225, 29295, 25827, 16144, 112997, 29220, 32977, 45736, 17129, 104533, 117952, 106824, 61689, 1811, 80050, 20251, 108744, 71289, 126238, 105714, 30512, 112990, 37026, 104063, 101365, 106613, 29295, 108267, 33121, 5486, 62903, 37823, 62903, 37823, 114267, 108631, 64121, 30512, 64121, 108422, 33334, 43514, 115195, 112586, 112391, 30369, 102677, 114754, 61689, 29295, 115847, 15682, 103188, 27479, 16144, 116201, 232, 105714, 121894, 113468, 91939, 225, 119049, 107079, 29295, 110226, 123332, 15024, 5486, 117917, 249, 64121, 104856, 76947, 102321, 103468, 121894, 38641, 1811, 104102, 236, 8239, 112, 71289, 49854, 251, 127242, 113468, 101682, 105784, 71634, 108744, 32977, 91939, 225, 102416, 124807, 44971, 110548, 16556, 109948, 76622, 124195, 103801, 16995, 5486, 91939, 225, 108631, 104856, 76947, 111006, 20230, 102321, 33121, 33541, 1811, 106955, 225, 108631, 16144, 113385, 117282, 103429, 22649, 9554, 31634, 63212, 10447, 240, 108, 103496, 9554, 31634, 63212, 113468, 91939, 225, 108631, 15682, 125119, 84389, 104533, 91763, 78183, 115032, 24273, 29295, 127181, 119627, 5486, 103350, 15682, 103429, 95221, 113468, 108631, 64121, 125334, 100934, 115789, 57903, 33541, 1811, 104408, 13372, 26854, 102944, 16556, 106955, 225, 103558, 108, 114431, 235, 71289, 109219, 41920, 64467, 101921, 116, 103558, 108, 114431, 235, 119627, 5486, 91939, 225, 108631, 30512, 125119, 17663, 103429, 95221, 15682, 51330, 17, 59739, 116749, 105352, 57903, 33541, 105879, 106691, 109904, 102944, 104088, 38144, 64121, 17129, 109954, 1811, 63415, 121432, 34171, 103857, 118347, 57326, 114741, 6806, 63415, 91939, 225, 29295, 25827, 6806, 63415, 110020, 34171, 9458, 105047, 34171, 91939, 225, 114052, 6806, 63415, 116900, 89753, 34171, 102456, 45893, 114052, 117917, 227, 95221, 48154, 19732, 20230, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 1811, 116131, 97908, 34171, 103857, 118347, 57326, 114741, 116131, 97908, 34171, 103857, 118347, 57326, 114741, 15682, 60358, 8107, 117084, 91774, 59739, 102518, 80019, 102800, 103429, 95221, 16556, 5486, 91939, 225, 20230, 108631, 64121, 30512, 112391, 30369, 110115, 110096, 103984, 117785, 111800, 112984, 30512, 120837, 108901, 40053, 120937, 116436, 111694, 16144, 106592, 64467, 127145, 1811, 106111, 25580, 15682, 80050, 20251, 108744, 34171, 91939, 225, 114052, 103306, 120761, 64889, 84389, 100481, 79721, 29295, 121453, 28713, 20230, 116131, 97908, 34171, 103857, 118347, 57326, 114741, 102677, 80019, 102800, 103429, 95221, 103306, 23187, 104577, 84389, 79721, 1811, 125389, 123090, 106955, 225, 32977, 28713, 33121, 30512, 112391, 115926, 5486, 114715, 125764, 30369, 121142, 33334, 113351, 125001, 124387, 108176, 125389, 111654, 16937, 107084, 5486, 64121, 108422, 33334, 43514, 115195, 112586, 112391, 30369, 117917, 249, 64121, 5486, 106955, 116, 123307, 76622, 118328, 50834, 95221, 5486, 220, 102639, 108005, 115, 29295, 111571, 103397, 103306, 102321, 33121, 33541, 1811, 111830, 63212, 15682, 15682, 121381, 31431, 107118, 66378, 23187, 116216, 33334, 121140, 5486, 80050, 20251, 108744, 71289, 103188, 102456, 9458, 16937, 106045, 108630, 26854, 125389, 104654, 5486, 83601, 104, 124623, 5486, 107908, 47260, 64178, 9458, 47260, 25005, 240, 115247, 99046, 224, 18655, 5486, 102765, 115200, 42506, 123160, 110456, 106266, 53953, 16144, 99046, 224, 18655, 104309, 29295, 113385, 111769, 32149, 19732, 117952, 106824, 61689, 1811, 117917, 227, 94923, 16556, 106955, 225, 103558, 108, 114431, 235, 71289, 109219, 41920, 64467, 101921, 116, 103558, 108, 114431, 235, 5486, 91939, 225, 29295, 25827, 5486, 91939, 225, 114052, 5486, 116900, 89753, 34171, 102456, 45893, 114052, 5486, 70563, 42634, 37823, 115686, 111800, 112984, 104309, 91939, 225, 107809, 30512, 50520, 111, 106624, 111800, 112984, 56051, 105352, 32149, 124233, 121140, 113614, 33014, 16556, 77693, 120577, 120761, 64889, 29295, 17297, 72342, 100604, 107803, 20230, 116131, 97908, 34171, 103857, 118347, 57326, 114741, 16144, 120761, 64889, 125334, 84389, 33541, 1811, 106955, 225, 29295, 25827, 108911, 25827, 15682, 102321, 31640, 103429, 112028, 59739, 103306, 19361, 13372, 16556, 5486, 121648, 9039, 15682, 8107, 104680, 115079, 21601, 127145, 1811, 106955, 225, 29295, 25827, 16144, 121496, 57942, 103, 96455, 15682, 123737, 120332, 29295, 111482, 126036, 45736, 47884, 5486, 83601, 104, 124623, 71289, 33334, 103882, 29295, 53901, 112495, 114754, 91939, 225, 29295, 25827, 115717, 126172, 16995, 19732, 117952, 106824, 61689, 1811, 106955, 225, 29295, 25827, 15682, 91939, 225, 110426, 16144, 32943, 110366, 117083, 91939, 225, 90397, 246, 115716, 123727, 104398, 112506, 29295, 29295, 25827, 104398, 112506, 108176, 106592, 78244, 61689, 1811, 108911, 25827, 29295, 116748, 103792, 105352, 32149, 124233, 121140, 5486, 111571, 103397, 29295, 37087, 47884, 20834, 104435, 31431, 5486, 103856, 16995, 38574, 106090, 55031, 117917, 249, 64121, 71289, 106955, 116, 71289, 76622, 5486, 111199, 16995, 102924, 123160, 111571, 103397, 125334, 30369, 30926, 115991, 33541, 1811, 106369, 103882, 71289, 28713, 81219, 22957, 29295, 27384, 120111, 16556, 91939, 225, 20230, 108010, 34208, 99750, 30512, 112391, 100934, 24273, 15682, 32977, 67016, 127564, 91939, 225, 29295, 25827, 16144, 125396, 107407, 32149, 110241, 33121, 107515, 1811, 113040, 56965, 29295, 106613, 103188, 112990, 106968, 23538, 29295, 25827, 117282, 109755, 33121, 32977, 101182, 103846, 5486, 100844, 102, 23538, 102404, 91774, 9458, 103856, 23538, 71005, 109519, 29295, 32335, 106594, 16144, 103359, 117120, 41007, 38641, 1811, 121151, 95, 34171, 9458, 105047, 34171, 91939, 225, 114052, 121151, 95, 34171, 91939, 225, 114052, 19732, 91576, 98, 34171, 91939, 225, 114052, 16144, 121953, 15682, 40053, 9080, 119400, 55031, 91939, 225, 20230, 108631, 64121, 30512, 112391, 100934, 104865, 121906, 16556, 100604, 116421, 121953, 38641, 1811, 121151, 95, 34171, 91939, 225, 114052, 15682, 126292, 47260, 64178, 16144, 99046, 224, 18655, 71289, 113869, 115200, 42506, 9458, 47260, 25005, 240, 11972, 123160, 110456, 106266, 53953, 30512, 9080, 40053, 112535, 99046, 224, 18655, 54926, 118733, 91939, 225, 110426, 30512, 117633, 103836, 91939, 225, 90397, 246, 115716, 20230, 99959, 126989, 29295, 105623, 226, 108882, 84389, 5486, 91939, 225, 108602, 29295, 91939, 225, 110426, 102416, 109835, 104028, 118733, 108631, 104004, 103429, 95221, 38641, 1811, 125389, 104654, 16144, 23226, 106594, 71289, 91939, 225, 101921, 116, 117434, 30512, 115320, 104004, 118733, 103359, 105226, 29295, 88367, 38641, 1811, 91576, 98, 34171, 91939, 225, 114052, 16144, 107803, 32977, 42016, 103826, 20230, 68042, 25005, 240, 38248, 226, 116201, 239, 108104, 5486, 102765, 115200, 42506, 5486, 107908, 47260, 64178, 16144, 99046, 224, 31431, 103188, 105557, 113468, 17620, 14888, 234, 103646, 91939, 225, 90397, 246, 115716, 29295, 21403, 98, 29295, 33121, 120175, 38144, 108631, 64121, 30512, 112391, 30369, 103429, 95221, 38641, 1811, 220, 16, 9080, 51385, 106353, 116446, 103188, 48154, 17663, 118733, 50338, 33420, 56051, 31431, 5486, 23530, 114622, 117434, 16144, 44309, 11883, 71289, 33334, 32149, 106644, 30512, 125764, 30369, 104309, 25827, 114577, 56965, 109519, 25333, 16556, 71005, 30369, 105908, 127181, 38641, 1811, 91576, 98, 34171, 91939, 225, 114052, 30512, 103721, 108, 31431, 104196, 17663, 118733, 110020, 34171, 33208, 15024, 5486, 110020, 34171, 91939, 225, 114052, 117282, 103846, 61633, 103801, 109954, 1811, 102542, 228, 89753, 34171, 102456, 45893, 114052, 102542, 228, 89753, 34171, 102456, 45893, 114052, 15682, 91939, 225, 108602, 29295, 102456, 45893, 102416, 116900, 89753, 54926, 103429, 95221, 16556, 5486, 121120, 72718, 50834, 71289, 102456, 123090, 102639, 108005, 115, 125334, 30369, 116537, 61633, 29295, 109215, 38641, 1811, 125389, 45893, 15682, 91939, 225, 90397, 246, 115716, 120950, 123050, 121606, 119703, 103846, 5486, 91939, 225, 108602, 29295, 109467, 102456, 45893, 30512, 114218, 59739, 107441, 123307, 76622, 90620, 103468, 105933, 121894, 108176, 103846, 123307, 105784, 104466, 108631, 47884, 5486, 111571, 103397, 29295, 116748, 54926, 107294, 106824, 108631, 64121, 29295, 115079, 109768, 47884, 112973, 66378, 17599, 112, 38641, 1811, 104523, 37507, 15682, 91939, 225, 108602, 29295, 102456, 45893, 102416, 127284, 54926, 109335, 124897, 29295, 5486, 112371, 25827, 91875, 117401, 29295, 112294, 17129, 106358, 31431, 112990, 91939, 225, 108602, 29295, 116900, 89753, 39926, 103801, 61689, 1811, 106955, 116, 71289, 76622, 16144, 16937, 104873, 30512, 126014, 105262, 114754, 43240, 47884, 5486, 91939, 225, 108631, 16144, 101128, 102, 64121, 30512, 108623, 105262, 17792, 16556, 116900, 89753, 34171, 102456, 45893, 114052, 120332, 15682, 118899, 114114, 245, 21601, 101427, 122, 70141, 20230, 57903, 33541, 1811, 220, 103911, 103181, 54926, 112973, 111108, 106624, 5486, 122828, 105, 53953, 109519, 25333, 5486, 46034, 103991, 109519, 25333, 5486, 104654, 108710, 101557, 96, 16144, 23226, 106594, 113468, 71005, 109519, 30512, 103130, 62004, 100481, 47884, 112973, 36668, 26854, 41007, 104856, 76947, 61689, 1811, 106955, 225, 108631, 29295, 125119, 103836, 107803, 16144, 103359, 117120, 41007, 220, 77181, 106955, 225, 108631, 29295, 125119, 100472, 110018, 15682, 104405, 126693, 126521, 105879, 109954, 1811, 123038, 48915, 19732, 53283, 103836, 101200, 16556, 53283, 110104, 49854, 122, 117120, 41007, 32977, 48154, 122984, 78434, 1811, 220, 112371, 104328, 40265, 116229, 16144, 108134, 30512, 121846, 20230, 115515, 112391, 100934, 91939, 225, 108631, 30512, 116467, 107436, 72315, 1811, 220, 80673, 115847, 55031, 48154, 126362, 54926, 41007, 15682, 30591, 47884, 17129, 72661, 106955, 225, 114052, 104309, 113168, 121, 16995, 103429, 95221, 113115, 39926, 16144, 103359, 117120, 41007, 38641, 1811, 106955, 234, 16325, 71289, 113351, 34048, 112649, 107441, 104195, 16995, 108631, 64121, 30512, 112391, 30369, 126513, 114225, 20230, 103242, 109519, 101513, 97518, 114475, 120761, 39926, 103242, 104599, 16144, 120761, 64889, 114475, 107441, 37656, 102800, 71005, 109519, 117824, 76947, 72315, 1811, 113204, 112, 115320, 110665, 102456, 30512, 111098, 105784, 76502, 104680, 16144, 102456, 30926, 20230, 95221, 124905, 30297, 109335, 27384, 102769, 119627, 5486, 126843, 15682, 113204, 112, 115320, 110665, 102456, 30512, 111098, 105784, 104466, 103801, 109954, 1811, 104102, 236, 21403, 108, 20230, 115320, 102456, 117824, 30297, 118733, 5486, 91939, 225, 16144, 121432, 15682, 103167, 17297, 15024, 5486, 6704, 28857, 33208, 16937, 103424, 104309, 29295, 125119, 31431, 91939, 225, 29295, 118448, 106824, 103801, 61689, 1811, 109228, 93488, 117718, 126521, 102456, 30926, 30512, 106307, 76622, 100934, 17792, 108680, 105047, 26854, 110665, 115320, 110665, 102456, 30512, 117824, 30297, 19732, 91576, 98, 34171, 91939, 225, 114052, 115717, 126172, 47884, 5486, 18904, 109095, 103296, 82973, 29295, 109215, 115717, 33541, 1811, 91576, 98, 34171, 91939, 225, 114052, 29295, 106307, 47884, 118733, 110020, 34171, 33208, 15024, 5486, 109161, 33208, 112990, 113351, 108631, 30512, 112183, 100472, 220, 102924, 109243, 71289, 40195, 101576, 95, 123160, 111571, 103397, 29295, 102321, 106824, 103801, 61689, 1811, 100844, 95, 20230, 110665, 115320, 110665, 102456, 117824, 76947, 103801, 16995, 5486, 91939, 225, 108631, 29295, 72718, 50834, 100934, 24273, 15682, 23530, 114622, 16144, 91939, 225, 117434, 30512, 107740, 56051, 31431, 5486, 33420, 33208, 16144, 126521, 125764, 53953, 30512, 102456, 115694, 51385, 106353, 20230, 103801, 109954, 1811, 113204, 112, 115320, 110665, 102456, 113468, 113351, 108631, 29295, 104195, 16995, 126513, 103856, 62004, 20230, 122412, 114475, 120761, 39926, 110385, 95, 24273, 117434, 104309, 30512, 117120, 24273, 120837, 110706, 17129, 109954, 1811, 116814, 102, 17620, 71289, 107908, 47260, 64178, 15682, 103851, 105262, 220, 117876, 16144, 71634, 108744, 16556, 121410, 9080, 33334, 103882, 30512, 122333, 20230, 115320, 126559, 102677, 17792, 71289, 36668, 102456, 15682, 103868, 16144, 21105, 96, 107277, 59739, 102334, 102456, 30926, 30512, 99046, 224, 103836, 102677, 116537, 113477, 61633, 38641, 1811, 220, 85701, 120577, 102456, 30926, 15682, 91939, 225, 102416, 109215, 71689, 16144, 109972, 106529, 119707, 105784, 100909, 108176, 103846, 5486, 116814, 102, 17620, 71289, 116196, 224, 17620, 5486 ]
[ 107908, 47260, 64178, 15682, 103851, 105262, 104466, 103801, 109954, 1811, 113204, 112, 115320, 110665, 102456, 30512, 21105, 103, 47884, 111243, 121410, 9080, 87109, 99046, 224, 21990, 30512, 106307, 105784, 118733, 91939, 225, 108631, 16144, 112997, 29220, 29295, 45736, 115464, 102083, 78183, 106824, 61689, 1811, 106369, 102416, 27929, 55031, 64121, 108422, 33334, 43514, 112649, 107441, 106644, 121710, 111842, 108631, 64121, 30512, 112391, 30369, 101200, 115717, 123334, 29295, 38144, 37046, 110020, 118765, 108680, 106266, 102800, 108631, 64121, 29295, 21990, 100204, 30369, 100909, 121711, 33541, 105879, 9080, 48154, 85791, 55031, 103911, 103181, 30512, 64209, 29295, 105784, 105908, 27384, 102769, 38641, 1811, 220, 53900, 5486, 116814, 102, 17620, 9458, 121496, 57942, 103, 17620, 5486, 107908, 47260, 64178, 16144, 99046, 224, 31431, 103188, 105557, 15682, 115934, 119049, 101862, 245, 108481, 71289, 116196, 111, 101862, 245, 108481, 123160, 51609, 112649, 124233, 30369, 103429, 95221, 107294, 105722, 30369, 109755, 33121, 32977, 57903, 33541, 1811, 220, 123011, 62004, 113202, 32149, 29295, 16556, 56051, 32149, 11571, 116564, 18904, 15682, 5486, 64121, 108422, 33334, 43514, 115195, 112586, 112391, 30369, 91939, 225, 108631, 109853, 48154, 126362, 121256, 1811, 113204, 112, 115320, 110665, 102456, 71289, 80050, 20251, 108744, 5486, 113136, 120379, 127242, 104309, 113468, 91939, 225, 20230, 115581, 235, 108631, 71289, 108010, 34208, 99750, 5486, 121819, 117598, 99750, 15682, 102404, 21990, 78434, 1811, 117917, 249, 64121, 30512, 112391, 30369, 116245, 29295, 105068, 16325, 71289, 64121, 108422, 33334, 43514, 16144, 78659, 110366, 16144, 126513, 127091, 125478, 26854, 103429, 95221, 16144, 125396, 115991, 33541, 1811, 114163, 105352, 108010, 34208, 99750, 16144, 101182, 116245, 30512, 84851, 17663, 19732, 108631, 16995, 5486, 17297, 101576, 95, 29295, 82533, 17129, 110104, 5486, 107202, 102800, 104309, 117032, 16144, 91939, 225, 108631, 107118, 113727, 102204, 100604, 111571, 103397, 125334, 127567, 114225, 20230, 114363, 103722, 103242, 114475, 120761, 39926, 72315, 1811, 33671, 16144, 198, 53610, 29295, 120175, 30369, 116245, 109860, 13177, 64121, 101860, 33334, 43514, 10646, 125606, 101860, 13177, 64121, 108422, 33334, 43514, 66383, 95604, 98499, 64121, 24273, 119627, 115847, 15682, 13177, 64121, 101860, 33334, 43514, 10646, 29295, 104721, 33208, 56051, 102944, 16556, 5486, 32977, 107173, 107118, 115320, 102189, 53610, 29295, 120175, 30369, 116245, 102677, 115552, 55031, 50834, 100934, 102083, 61689, 1811, 113202, 108005, 121, 30297, 13177, 107040, 102, 107380, 66383, 95604, 115953, 19113, 15682, 110371, 105494, 29295, 107040, 102, 16144, 107380, 16144, 83799, 20230, 104409, 100934, 55031, 102131, 102181, 32149, 104028, 101200, 115717, 79721, 1811, 116056, 13177, 107040, 102, 107380, 10646, 5486, 58426, 110674, 13177, 15682, 19732, 33334, 66383, 98499, 104004, 115789, 57903, 33541, 29295, 5486, 111006, 116749, 16556, 33655, 30297, 126513, 13177, 50834, 116186, 30297, 102802, 66383, 98499, 104004, 126465, 32977, 83747, 103470, 124897, 1811, 45631, 107040, 102, 107380, 83799, 10110, 50834, 116186, 30297, 102802, 29295, 28713, 7705, 10646, 102677, 19732, 46091, 64936, 83799, 71289, 55038, 83799, 16144, 106592, 64467, 15024, 5486, 17663, 26854, 78183, 43514, 36896, 64121, 108422, 33334, 43514, 117503, 105494, 29295, 46091, 64936, 83799, 10110, 107040, 102, 107380, 83799, 7705, 101983, 103836, 105879, 13177, 64121, 108422, 33334, 43514, 104023, 107040, 102, 107380, 66383, 95604, 113334, 38641, 1811, 9085, 249, 229, 102780, 45631, 107040, 102, 117503, 19113, 30512, 13177, 50834, 116186, 30297, 66383, 98499, 104004, 104468, 13177, 103178, 117503, 19113, 29295, 17701, 103836, 55031, 19732, 113727, 102204, 33541, 29295, 5486, 32977, 107173, 107118, 102040, 20251, 16144, 122173, 50834, 71174, 10110, 104023, 29220, 11972, 5486, 62903, 109496, 30, 102849, 55031, 103082, 28713, 115953, 19113, 36785, 102131, 38641, 1811, 116060, 10110, 29220, 11972, 7705, 19732, 122173, 47884, 18630, 111, 98, 16556, 18630, 111, 102, 102677, 113334, 125651, 1811, 220, 90620, 36896, 107040, 102, 10110, 106101, 254, 7705, 10646, 102677, 115953, 19113, 15682, 59795, 102158, 105352, 57903, 33541, 29295, 112599, 77181, 51330, 19113, 15682, 33655, 123671, 101860, 5486, 102040, 20251, 16144, 109335, 59795, 102158, 16556, 13177, 165, 112, 123, 45829, 10110, 106101, 121, 45829, 7705, 10646, 19732, 102181, 47884, 102131, 38641, 1811, 112972, 101828, 16995, 104468, 51330, 13177, 165, 112, 123, 45829, 10110, 106101, 121, 45829, 7705, 10646, 102677, 123017, 102040, 20251, 16144, 122173, 50834, 71174, 10110, 29220, 109089, 11972, 7705, 29295, 68171, 37507, 102083, 78183, 115032, 100909, 1811, 108834, 230, 103868, 102987, 16995, 125651, 1811, 33671, 16144, 128001, 128000, 39880, 68759, 118091, 113883, 60868, 112164, 16556, 76739, 109554, 29295, 125119, 103836, 32149, 110241, 33121, 107515, 115397, 27479, 122481, 30512, 88356, 98499, 64121, 121423, 39926, 64121, 38144, 72315, 627, 13177, 61826, 101987, 70821, 66383, 16995, 58942, 67645, 32977, 111476, 80673, 111476, 13177, 117018, 10646, 15682, 111476, 51330, 22656, 15682, 111476, 122571, 117876, 120910, 115132, 114740, 40862, 123378, 29504, 71289, 39850, 62903, 57207, 47260, 16144, 61826, 101987, 70821, 104157, 101987, 30590, 16556, 104654, 54926, 105908, 101182, 9174, 127164, 27384, 111059, 16144, 61826, 101987, 121593, 15682, 5486, 112673, 118517, 26269, 80805, 122845, 121930, 120328, 29504, 111848, 117018, 16144, 102729, 122, 18655, 19732, 5486, 84264, 238, 108055, 5486, 115143, 102052, 36668, 89753, 106222, 111363, 42016, 33208, 113495, 30512, 5486, 102321, 31640, 20230, 57237, 30369, 9039, 102718, 116358, 56965, 123726, 113487, 102532, 105898, 17792, 104680, 103195, 9174, 107943, 61826, 101987, 70821, 16144, 104654, 107809, 102052, 5486, 102321, 31640, 106222, 30512, 123726, 30369, 37046, 104680, 29295, 108623, 105262, 5486, 120328, 104680, 16144, 109606, 30512, 50338, 47884, 112258, 113, 29295, 110745, 102769, 20230, 106154, 31431, 112179, 32149, 115032, 125939, 18904, 15682, 58426, 15120, 118821, 76739, 70563, 102741, 65575, 30512, 126362, 56051, 16995, 9174, 58426, 39177, 115408, 15682, 5486, 41758, 39880, 57933, 68759, 32131, 29504, 103496, 60358, 47884, 117083, 5486, 39850, 62903, 57207, 47260, 16144, 78459, 39880, 80805, 22398, 55139, 16144, 61826, 101987, 70821, 104157, 101987, 30590, 20230, 73597, 252, 19000, 107113, 9174, 58426, 101634, 15682, 5486, 60868, 16073, 107167, 124766, 66953, 33710, 35894, 103354, 55031, 5486, 122270, 101918, 16556, 41920, 82973, 108680, 58911, 16325, 109156, 100472, 119208, 117083, 9174, 124773, 123437, 67075, 117501, 71289, 118522, 109060, 101513, 97518, 5486, 115143, 102052, 5486, 101721, 95221, 5486, 102472, 22398, 5486, 53610, 45893, 102083, 100472, 76171, 52591, 32131, 120370, 15682, 5486, 102717, 19732, 124592, 27699, 116, 108950, 109768, 100604, 9174, 17792, 104680, 15682, 105564, 50834, 5486, 109215, 26854, 102944, 102717, 19732, 124592, 15682, 37026, 110698, 15024, 5486, 16937, 109215, 26854, 102944, 15682, 109683, 20230, 104196, 17663, 9174, 103031, 33503, 106063, 66378, 16144, 41007, 16556, 55228, 230, 55228, 115, 20230, 11883, 102334, 165, 114, 237, 15682, 106116, 123470, 118705, 114053, 16556, 102456, 84389, 5486, 102048, 234, 103293, 16144, 61056, 14888, 226, 53953, 15682, 66953, 102663, 103223, 20230, 103846, 38144, 101129, 25827, 109416, 20230, 15017, 101, 38144, 28713, 9174, 80539, 77693, 30512, 117178, 42506, 20230, 5486, 88356, 102802, 19967, 53953, 29295, 101662, 43514, 5486, 165, 114, 237, 29295, 114516, 16144, 110226, 33354, 104, 16144, 108618, 31431, 30512, 125764, 30369, 1811, 39850, 62903, 57207, 47260, 16144, 36668, 89753, 106222, 55031, 5486, 30590, 22649, 9554, 105352, 5486, 106581, 9554, 105352, 110596, 47884, 106627, 33121, 5486, 106644, 121710, 111842, 82973, 29295, 106145, 17129, 115032, 5486, 107943, 116245, 115287, 9174, 17792, 104680, 15682, 123085, 16144, 31958, 71005, 23538, 16144, 101129, 104674, 43167, 102936, 30512, 91763, 110027, 30369, 76505, 67178, 16144, 124572, 102332, 46729, 102571, 20230, 5486, 605, 17792, 113314, 16144, 26955, 94, 109429, 71869, 30512, 110904, 25129, 103306, 101987, 104127, 102334, 109807, 117591, 112028, 118821, 122013, 30512, 120824, 103468, 122571, 106116, 46729, 16144, 101182, 15120, 64936, 20230, 104328, 110018, 78183, 109163, 16995, 114834, 104088, 28713, 9174, 114834, 16144, 37795, 227, 20230, 22324, 32149, 103468, 102832, 105404, 102052, 110371, 30591, 28713, 111331, 61826, 101987, 121593, 16144, 108044, 105156, 49792, 117813, 103195, 5486, 105189, 71289, 107188, 39135, 103311, 54872, 103826, 16144, 62903, 108958, 29295, 32149, 104369, 127397, 57903, 106116, 31809, 30813, 26854, 109466, 31431, 115442, 31431, 107809, 20230, 5486, 92877, 118981, 29295, 106353, 111201, 120379, 106358, 9174, 116499, 59739, 126145, 5486, 109203, 102052, 111199, 122615, 30512, 102971, 16995, 5486, 112361, 54872, 103826, 16144, 62903, 108958, 20230, 68379, 117864, 5486, 105268, 16995, 58850, 29295, 9039, 17792, 115519, 115856, 76622, 101732, 9174, 51330, 46729, 16144, 107571, 105459, 127303, 103950, 1811, 102057, 104, 16995, 117876, 30512, 21105, 103, 29295, 33503, 5486, 80673, 112160, 24273, 77181, 5486, 92877, 58850, 16144, 121120, 23018, 20230, 108870, 30512, 17663, 105823, 30369, 116421, 104466, 5486, 108385, 31431, 114001, 106358, 9174, 92877, 118981, 15682, 5486, 30358, 16995, 103429, 20230, 109373, 84389, 101732, 9174, 1548, 13412, 19732, 127173, 104028, 55228, 230, 55228, 115, 104599, 29295, 122617, 16144, 103429, 30512, 120761, 30369, 51330, 101634, 16556, 5486, 109453, 15682, 36896, 109161, 16995, 22398, 70563, 37823, 67075, 20230, 107063, 239, 32149, 115032, 66383, 120761, 64889, 84389, 101732, 9174, 58426, 103429, 102052, 114667, 122291, 1811, 109453, 29295, 13177, 122485, 16556, 104157, 28713, 10646, 55031, 36785, 9174, 51330, 101634, 77181, 5486, 92877, 105268, 71208, 58850, 107173, 13177, 122485, 16556, 104157, 30369, 10646, 105908, 47307, 52884, 11972, 115287, 9174, 13177, 108064, 32977, 112832, 32149, 19732, 40053, 20230, 126419, 20230, 107991, 100909, 10646, 29295, 117119, 126036, 27384, 102769, 19732, 84389, 101732, 105272, 9174, 46729, 107809, 16144, 58850, 127282, 74090, 122756, 43167, 109709, 102456, 30926, 126694, 31431, 5486, 113692, 115737, 76947, 103605, 31431, 122013, 16144, 127512, 71289, 110305, 22398, 30512, 111887, 30369, 9174, 80539, 5486, 71208, 127282, 108048, 29295, 91774, 105262, 124349, 107809, 16556, 114407, 19967, 101275, 117824, 30297, 1811, 104662, 39926, 13177, 122485, 16556, 104157, 100604, 10646, 9174, 80673, 5486, 60358, 8107, 110371, 101634, 105352, 33671, 30537, 20230, 110408, 15024, 108385, 127397, 105898, 83812, 225, 35330, 8239, 112, 122502, 16144, 103682, 15682, 5486, 122013, 30512, 112160, 17792, 5486, 53900, 122485, 19732, 5486, 101634, 16144, 48915, 102416, 89046, 33121, 20834, 109768, 100472, 9174, 108618, 107001, 104468, 5486, 122502, 50834, 101083, 31640, 111769, 92877, 17792, 103351, 9174, 80539, 5486, 92877, 58850, 15682, 103429, 20230, 107063, 239, 32149, 103468, 9174, 92877, 58850, 16144, 122013, 15682, 101128, 242, 107991, 124845, 5486, 103429, 15682, 5486, 105994, 104067, 16144, 92877, 58850, 113115, 54926, 13177, 49213, 82689, 3225, 10646, 29295, 113385, 103195, 19732, 125636, 30369, 9174, 37271, 5486, 107571, 127282, 117119, 30512, 91763, 103836, 104865, 111476, 86127, 29295, 73597, 252, 19000, 56051, 56965, 5486, 28713, 100472, 127637, 32977, 102832, 105404, 16556, 120379, 30369, 92877, 58850, 16144, 101171, 229, 30512, 15682, 26854, 33121, 104435, 9174, 92877, 58850, 102052, 5486, 117434, 15682, 58318, 58942, 102204, 100604, 1811, 103429, 102452, 32977, 58318, 58942, 102204, 100604, 9174, 109453, 16144, 71005, 23706, 240, 102052, 5486, 107173, 20230, 127331, 33503, 17663, 112919, 13177, 126287, 10646, 29295, 30591, 28713, 58942, 110071, 103378, 26854, 105272, 9174, 13177, 112832, 32149, 19732, 104157, 30369, 100909, 10646, 29295, 33710, 64178, 103306, 55999, 19361, 110731, 106222, 9174, 110924, 102052, 36896, 122485, 108176, 125231, 100909, 10646, 111363, 120267, 117735, 15682, 48706, 21105, 103, 16995, 9174, 58426, 19361, 103826, 15682, 5486, 45631, 102159, 66383, 39926, 16144, 37026, 80195, 29295, 32018, 62004, 110071, 106222, 16556, 123726, 30369, 86127, 102052, 114318, 38144, 59739, 32977, 103470, 96452, 25197, 109229, 116787, 106272, 5486, 120267, 101200, 32977, 103470, 58666, 106624, 106482, 100472, 9174, 58426, 23039, 101399, 15682, 5486, 106222, 126067, 103306, 16144, 13177, 122013, 117503, 107734, 111017, 30512, 32977, 72404, 107290, 5486, 114516, 16144, 22656, 34171, 20230, 126014, 58942, 32149, 105784, 108914, 115541, 103646, 13177, 53229, 85707, 34171, 66383, 39926, 64209, 20230, 110315, 102334, 16144, 103195, 9174, 13177, 122485, 16556, 103188, 48154, 30813, 100604, 59712, 108064, 32977, 112832, 116421, 27929, 81219, 20230, 107991, 111329, 80539, 115408, 102052, 77693, 29295, 5486, 102321, 31640, 106222, 16556, 72718, 50834, 100934, 43240, 119064, 109606, 16144, 50338, 104662, 105226, 112028, 79982, 30512, 20379, 103792, 104466, 91763, 107290, 105110, 100604, 9174, 102944, 117952, 101860, 5486, 106353, 111201, 102832, 105404, 16144, 101171, 229, 20230, 103605, 103836, 107571, 105459, 30512, 27280, 118, 62004, 106272, 111476, 122571, 5486, 61826, 101987, 70821, 16144, 13177, 53283, 122393, 118587, 5486, 88356, 102802, 101037, 96, 56965, 91774, 28713, 116499, 56051, 1811, 128001, 128000, 2, 107668, 102802, 74245, 119432, 101513, 38093, 30512, 104908, 54926, 105908, 107693, 21909, 52030, 106528, 16144, 103359, 47523, 15682, 118322, 25580, 112028, 17792, 103378, 111769, 21909, 198, 120824, 99397, 52030, 106528, 101275, 98220, 113245, 17792, 103234, 102669, 105838, 30512, 78698, 105262, 115612, 20251, 105048, 64810, 26269, 104272, 1811, 30537, 17, 18904, 15682, 5486, 118935, 11883, 125344, 104378, 16144, 107693, 34171, 30512, 113727, 33541, 66327, 110298, 25287, 16144, 122412, 52030, 106528, 104599, 30512, 101662, 125655, 120266, 32335, 109431, 33208, 103646, 104378, 118587, 113164, 32131, 118928, 94550, 54926, 101513, 38093, 30512, 104908, 54926, 105908, 5486, 103192, 17129, 106624, 100604, 103856, 23538, 106627, 107430, 18904, 111098, 107294, 105722, 31431, 33541, 9174, 30537, 16, 18904, 13177, 17792, 103234, 118935, 11883, 111108, 20230, 118013, 70141, 32149, 30297, 113009, 10646, 15682, 117896, 40171, 567, 105864, 103, 99397, 52030, 106528, 20230, 109169, 58942, 104533, 50834, 102052, 33710, 64178, 122489, 16144, 104378, 29295, 109215, 198, 16325, 53229, 5232, 117917, 227, 94923, 52030, 106528, 55031, 120824, 99397, 52030, 106528, 20230, 60634, 30369, 109335, 13177, 114567, 116696, 123581, 10646, 38641, 123794, 109807, 37689, 109375, 29295, 109215, 36785, 106046 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 107908, 47260, 64178, 15682, 103851, 105262, 104466, 103801, 109954, 1811, 113204, 112, 115320, 110665, 102456, 30512, 21105, 103, 47884, 111243, 121410, 9080, 87109, 99046, 224, 21990, 30512, 106307, 105784, 118733, 91939, 225, 108631, 16144, 112997, 29220, 29295, 45736, 115464, 102083, 78183, 106824, 61689, 1811, 106369, 102416, 27929, 55031, 64121, 108422, 33334, 43514, 112649, 107441, 106644, 121710, 111842, 108631, 64121, 30512, 112391, 30369, 101200, 115717, 123334, 29295, 38144, 37046, 110020, 118765, 108680, 106266, 102800, 108631, 64121, 29295, 21990, 100204, 30369, 100909, 121711, 33541, 105879, 9080, 48154, 85791, 55031, 103911, 103181, 30512, 64209, 29295, 105784, 105908, 27384, 102769, 38641, 1811, 220, 53900, 5486, 116814, 102, 17620, 9458, 121496, 57942, 103, 17620, 5486, 107908, 47260, 64178, 16144, 99046, 224, 31431, 103188, 105557, 15682, 115934, 119049, 101862, 245, 108481, 71289, 116196, 111, 101862, 245, 108481, 123160, 51609, 112649, 124233, 30369, 103429, 95221, 107294, 105722, 30369, 109755, 33121, 32977, 57903, 33541, 1811, 220, 123011, 62004, 113202, 32149, 29295, 16556, 56051, 32149, 11571, 116564, 18904, 15682, 5486, 64121, 108422, 33334, 43514, 115195, 112586, 112391, 30369, 91939, 225, 108631, 109853, 48154, 126362, 121256, 1811, 113204, 112, 115320, 110665, 102456, 71289, 80050, 20251, 108744, 5486, 113136, 120379, 127242, 104309, 113468, 91939, 225, 20230, 115581, 235, 108631, 71289, 108010, 34208, 99750, 5486, 121819, 117598, 99750, 15682, 102404, 21990, 78434, 1811, 117917, 249, 64121, 30512, 112391, 30369, 116245, 29295, 105068, 16325, 71289, 64121, 108422, 33334, 43514, 16144, 78659, 110366, 16144, 126513, 127091, 125478, 26854, 103429, 95221, 16144, 125396, 115991, 33541, 1811, 114163, 105352, 108010, 34208, 99750, 16144, 101182, 116245, 30512, 84851, 17663, 19732, 108631, 16995, 5486, 17297, 101576, 95, 29295, 82533, 17129, 110104, 5486, 107202, 102800, 104309, 117032, 16144, 91939, 225, 108631, 107118, 113727, 102204, 100604, 111571, 103397, 125334, 127567, 114225, 20230, 114363, 103722, 103242, 114475, 120761, 39926, 72315, 1811, 33671, 16144, 198, 53610, 29295, 120175, 30369, 116245, 109860, 13177, 64121, 101860, 33334, 43514, 10646, 125606, 101860, 13177, 64121, 108422, 33334, 43514, 66383, 95604, 98499, 64121, 24273, 119627, 115847, 15682, 13177, 64121, 101860, 33334, 43514, 10646, 29295, 104721, 33208, 56051, 102944, 16556, 5486, 32977, 107173, 107118, 115320, 102189, 53610, 29295, 120175, 30369, 116245, 102677, 115552, 55031, 50834, 100934, 102083, 61689, 1811, 113202, 108005, 121, 30297, 13177, 107040, 102, 107380, 66383, 95604, 115953, 19113, 15682, 110371, 105494, 29295, 107040, 102, 16144, 107380, 16144, 83799, 20230, 104409, 100934, 55031, 102131, 102181, 32149, 104028, 101200, 115717, 79721, 1811, 116056, 13177, 107040, 102, 107380, 10646, 5486, 58426, 110674, 13177, 15682, 19732, 33334, 66383, 98499, 104004, 115789, 57903, 33541, 29295, 5486, 111006, 116749, 16556, 33655, 30297, 126513, 13177, 50834, 116186, 30297, 102802, 66383, 98499, 104004, 126465, 32977, 83747, 103470, 124897, 1811, 45631, 107040, 102, 107380, 83799, 10110, 50834, 116186, 30297, 102802, 29295, 28713, 7705, 10646, 102677, 19732, 46091, 64936, 83799, 71289, 55038, 83799, 16144, 106592, 64467, 15024, 5486, 17663, 26854, 78183, 43514, 36896, 64121, 108422, 33334, 43514, 117503, 105494, 29295, 46091, 64936, 83799, 10110, 107040, 102, 107380, 83799, 7705, 101983, 103836, 105879, 13177, 64121, 108422, 33334, 43514, 104023, 107040, 102, 107380, 66383, 95604, 113334, 38641, 1811, 9085, 249, 229, 102780, 45631, 107040, 102, 117503, 19113, 30512, 13177, 50834, 116186, 30297, 66383, 98499, 104004, 104468, 13177, 103178, 117503, 19113, 29295, 17701, 103836, 55031, 19732, 113727, 102204, 33541, 29295, 5486, 32977, 107173, 107118, 102040, 20251, 16144, 122173, 50834, 71174, 10110, 104023, 29220, 11972, 5486, 62903, 109496, 30, 102849, 55031, 103082, 28713, 115953, 19113, 36785, 102131, 38641, 1811, 116060, 10110, 29220, 11972, 7705, 19732, 122173, 47884, 18630, 111, 98, 16556, 18630, 111, 102, 102677, 113334, 125651, 1811, 220, 90620, 36896, 107040, 102, 10110, 106101, 254, 7705, 10646, 102677, 115953, 19113, 15682, 59795, 102158, 105352, 57903, 33541, 29295, 112599, 77181, 51330, 19113, 15682, 33655, 123671, 101860, 5486, 102040, 20251, 16144, 109335, 59795, 102158, 16556, 13177, 165, 112, 123, 45829, 10110, 106101, 121, 45829, 7705, 10646, 19732, 102181, 47884, 102131, 38641, 1811, 112972, 101828, 16995, 104468, 51330, 13177, 165, 112, 123, 45829, 10110, 106101, 121, 45829, 7705, 10646, 102677, 123017, 102040, 20251, 16144, 122173, 50834, 71174, 10110, 29220, 109089, 11972, 7705, 29295, 68171, 37507, 102083, 78183, 115032, 100909, 1811, 108834, 230, 103868, 102987, 16995, 125651, 1811, 33671, 16144, 128001, 128000, 39880, 68759, 118091, 113883, 60868, 112164, 16556, 76739, 109554, 29295, 125119, 103836, 32149, 110241, 33121, 107515, 115397, 27479, 122481, 30512, 88356, 98499, 64121, 121423, 39926, 64121, 38144, 72315, 627, 13177, 61826, 101987, 70821, 66383, 16995, 58942, 67645, 32977, 111476, 80673, 111476, 13177, 117018, 10646, 15682, 111476, 51330, 22656, 15682, 111476, 122571, 117876, 120910, 115132, 114740, 40862, 123378, 29504, 71289, 39850, 62903, 57207, 47260, 16144, 61826, 101987, 70821, 104157, 101987, 30590, 16556, 104654, 54926, 105908, 101182, 9174, 127164, 27384, 111059, 16144, 61826, 101987, 121593, 15682, 5486, 112673, 118517, 26269, 80805, 122845, 121930, 120328, 29504, 111848, 117018, 16144, 102729, 122, 18655, 19732, 5486, 84264, 238, 108055, 5486, 115143, 102052, 36668, 89753, 106222, 111363, 42016, 33208, 113495, 30512, 5486, 102321, 31640, 20230, 57237, 30369, 9039, 102718, 116358, 56965, 123726, 113487, 102532, 105898, 17792, 104680, 103195, 9174, 107943, 61826, 101987, 70821, 16144, 104654, 107809, 102052, 5486, 102321, 31640, 106222, 30512, 123726, 30369, 37046, 104680, 29295, 108623, 105262, 5486, 120328, 104680, 16144, 109606, 30512, 50338, 47884, 112258, 113, 29295, 110745, 102769, 20230, 106154, 31431, 112179, 32149, 115032, 125939, 18904, 15682, 58426, 15120, 118821, 76739, 70563, 102741, 65575, 30512, 126362, 56051, 16995, 9174, 58426, 39177, 115408, 15682, 5486, 41758, 39880, 57933, 68759, 32131, 29504, 103496, 60358, 47884, 117083, 5486, 39850, 62903, 57207, 47260, 16144, 78459, 39880, 80805, 22398, 55139, 16144, 61826, 101987, 70821, 104157, 101987, 30590, 20230, 73597, 252, 19000, 107113, 9174, 58426, 101634, 15682, 5486, 60868, 16073, 107167, 124766, 66953, 33710, 35894, 103354, 55031, 5486, 122270, 101918, 16556, 41920, 82973, 108680, 58911, 16325, 109156, 100472, 119208, 117083, 9174, 124773, 123437, 67075, 117501, 71289, 118522, 109060, 101513, 97518, 5486, 115143, 102052, 5486, 101721, 95221, 5486, 102472, 22398, 5486, 53610, 45893, 102083, 100472, 76171, 52591, 32131, 120370, 15682, 5486, 102717, 19732, 124592, 27699, 116, 108950, 109768, 100604, 9174, 17792, 104680, 15682, 105564, 50834, 5486, 109215, 26854, 102944, 102717, 19732, 124592, 15682, 37026, 110698, 15024, 5486, 16937, 109215, 26854, 102944, 15682, 109683, 20230, 104196, 17663, 9174, 103031, 33503, 106063, 66378, 16144, 41007, 16556, 55228, 230, 55228, 115, 20230, 11883, 102334, 165, 114, 237, 15682, 106116, 123470, 118705, 114053, 16556, 102456, 84389, 5486, 102048, 234, 103293, 16144, 61056, 14888, 226, 53953, 15682, 66953, 102663, 103223, 20230, 103846, 38144, 101129, 25827, 109416, 20230, 15017, 101, 38144, 28713, 9174, 80539, 77693, 30512, 117178, 42506, 20230, 5486, 88356, 102802, 19967, 53953, 29295, 101662, 43514, 5486, 165, 114, 237, 29295, 114516, 16144, 110226, 33354, 104, 16144, 108618, 31431, 30512, 125764, 30369, 1811, 39850, 62903, 57207, 47260, 16144, 36668, 89753, 106222, 55031, 5486, 30590, 22649, 9554, 105352, 5486, 106581, 9554, 105352, 110596, 47884, 106627, 33121, 5486, 106644, 121710, 111842, 82973, 29295, 106145, 17129, 115032, 5486, 107943, 116245, 115287, 9174, 17792, 104680, 15682, 123085, 16144, 31958, 71005, 23538, 16144, 101129, 104674, 43167, 102936, 30512, 91763, 110027, 30369, 76505, 67178, 16144, 124572, 102332, 46729, 102571, 20230, 5486, 605, 17792, 113314, 16144, 26955, 94, 109429, 71869, 30512, 110904, 25129, 103306, 101987, 104127, 102334, 109807, 117591, 112028, 118821, 122013, 30512, 120824, 103468, 122571, 106116, 46729, 16144, 101182, 15120, 64936, 20230, 104328, 110018, 78183, 109163, 16995, 114834, 104088, 28713, 9174, 114834, 16144, 37795, 227, 20230, 22324, 32149, 103468, 102832, 105404, 102052, 110371, 30591, 28713, 111331, 61826, 101987, 121593, 16144, 108044, 105156, 49792, 117813, 103195, 5486, 105189, 71289, 107188, 39135, 103311, 54872, 103826, 16144, 62903, 108958, 29295, 32149, 104369, 127397, 57903, 106116, 31809, 30813, 26854, 109466, 31431, 115442, 31431, 107809, 20230, 5486, 92877, 118981, 29295, 106353, 111201, 120379, 106358, 9174, 116499, 59739, 126145, 5486, 109203, 102052, 111199, 122615, 30512, 102971, 16995, 5486, 112361, 54872, 103826, 16144, 62903, 108958, 20230, 68379, 117864, 5486, 105268, 16995, 58850, 29295, 9039, 17792, 115519, 115856, 76622, 101732, 9174, 51330, 46729, 16144, 107571, 105459, 127303, 103950, 1811, 102057, 104, 16995, 117876, 30512, 21105, 103, 29295, 33503, 5486, 80673, 112160, 24273, 77181, 5486, 92877, 58850, 16144, 121120, 23018, 20230, 108870, 30512, 17663, 105823, 30369, 116421, 104466, 5486, 108385, 31431, 114001, 106358, 9174, 92877, 118981, 15682, 5486, 30358, 16995, 103429, 20230, 109373, 84389, 101732, 9174, 1548, 13412, 19732, 127173, 104028, 55228, 230, 55228, 115, 104599, 29295, 122617, 16144, 103429, 30512, 120761, 30369, 51330, 101634, 16556, 5486, 109453, 15682, 36896, 109161, 16995, 22398, 70563, 37823, 67075, 20230, 107063, 239, 32149, 115032, 66383, 120761, 64889, 84389, 101732, 9174, 58426, 103429, 102052, 114667, 122291, 1811, 109453, 29295, 13177, 122485, 16556, 104157, 28713, 10646, 55031, 36785, 9174, 51330, 101634, 77181, 5486, 92877, 105268, 71208, 58850, 107173, 13177, 122485, 16556, 104157, 30369, 10646, 105908, 47307, 52884, 11972, 115287, 9174, 13177, 108064, 32977, 112832, 32149, 19732, 40053, 20230, 126419, 20230, 107991, 100909, 10646, 29295, 117119, 126036, 27384, 102769, 19732, 84389, 101732, 105272, 9174, 46729, 107809, 16144, 58850, 127282, 74090, 122756, 43167, 109709, 102456, 30926, 126694, 31431, 5486, 113692, 115737, 76947, 103605, 31431, 122013, 16144, 127512, 71289, 110305, 22398, 30512, 111887, 30369, 9174, 80539, 5486, 71208, 127282, 108048, 29295, 91774, 105262, 124349, 107809, 16556, 114407, 19967, 101275, 117824, 30297, 1811, 104662, 39926, 13177, 122485, 16556, 104157, 100604, 10646, 9174, 80673, 5486, 60358, 8107, 110371, 101634, 105352, 33671, 30537, 20230, 110408, 15024, 108385, 127397, 105898, 83812, 225, 35330, 8239, 112, 122502, 16144, 103682, 15682, 5486, 122013, 30512, 112160, 17792, 5486, 53900, 122485, 19732, 5486, 101634, 16144, 48915, 102416, 89046, 33121, 20834, 109768, 100472, 9174, 108618, 107001, 104468, 5486, 122502, 50834, 101083, 31640, 111769, 92877, 17792, 103351, 9174, 80539, 5486, 92877, 58850, 15682, 103429, 20230, 107063, 239, 32149, 103468, 9174, 92877, 58850, 16144, 122013, 15682, 101128, 242, 107991, 124845, 5486, 103429, 15682, 5486, 105994, 104067, 16144, 92877, 58850, 113115, 54926, 13177, 49213, 82689, 3225, 10646, 29295, 113385, 103195, 19732, 125636, 30369, 9174, 37271, 5486, 107571, 127282, 117119, 30512, 91763, 103836, 104865, 111476, 86127, 29295, 73597, 252, 19000, 56051, 56965, 5486, 28713, 100472, 127637, 32977, 102832, 105404, 16556, 120379, 30369, 92877, 58850, 16144, 101171, 229, 30512, 15682, 26854, 33121, 104435, 9174, 92877, 58850, 102052, 5486, 117434, 15682, 58318, 58942, 102204, 100604, 1811, 103429, 102452, 32977, 58318, 58942, 102204, 100604, 9174, 109453, 16144, 71005, 23706, 240, 102052, 5486, 107173, 20230, 127331, 33503, 17663, 112919, 13177, 126287, 10646, 29295, 30591, 28713, 58942, 110071, 103378, 26854, 105272, 9174, 13177, 112832, 32149, 19732, 104157, 30369, 100909, 10646, 29295, 33710, 64178, 103306, 55999, 19361, 110731, 106222, 9174, 110924, 102052, 36896, 122485, 108176, 125231, 100909, 10646, 111363, 120267, 117735, 15682, 48706, 21105, 103, 16995, 9174, 58426, 19361, 103826, 15682, 5486, 45631, 102159, 66383, 39926, 16144, 37026, 80195, 29295, 32018, 62004, 110071, 106222, 16556, 123726, 30369, 86127, 102052, 114318, 38144, 59739, 32977, 103470, 96452, 25197, 109229, 116787, 106272, 5486, 120267, 101200, 32977, 103470, 58666, 106624, 106482, 100472, 9174, 58426, 23039, 101399, 15682, 5486, 106222, 126067, 103306, 16144, 13177, 122013, 117503, 107734, 111017, 30512, 32977, 72404, 107290, 5486, 114516, 16144, 22656, 34171, 20230, 126014, 58942, 32149, 105784, 108914, 115541, 103646, 13177, 53229, 85707, 34171, 66383, 39926, 64209, 20230, 110315, 102334, 16144, 103195, 9174, 13177, 122485, 16556, 103188, 48154, 30813, 100604, 59712, 108064, 32977, 112832, 116421, 27929, 81219, 20230, 107991, 111329, 80539, 115408, 102052, 77693, 29295, 5486, 102321, 31640, 106222, 16556, 72718, 50834, 100934, 43240, 119064, 109606, 16144, 50338, 104662, 105226, 112028, 79982, 30512, 20379, 103792, 104466, 91763, 107290, 105110, 100604, 9174, 102944, 117952, 101860, 5486, 106353, 111201, 102832, 105404, 16144, 101171, 229, 20230, 103605, 103836, 107571, 105459, 30512, 27280, 118, 62004, 106272, 111476, 122571, 5486, 61826, 101987, 70821, 16144, 13177, 53283, 122393, 118587, 5486, 88356, 102802, 101037, 96, 56965, 91774, 28713, 116499, 56051, 1811, 128001, 128000, 2, 107668, 102802, 74245, 119432, 101513, 38093, 30512, 104908, 54926, 105908, 107693, 21909, 52030, 106528, 16144, 103359, 47523, 15682, 118322, 25580, 112028, 17792, 103378, 111769, 21909, 198, 120824, 99397, 52030, 106528, 101275, 98220, 113245, 17792, 103234, 102669, 105838, 30512, 78698, 105262, 115612, 20251, 105048, 64810, 26269, 104272, 1811, 30537, 17, 18904, 15682, 5486, 118935, 11883, 125344, 104378, 16144, 107693, 34171, 30512, 113727, 33541, 66327, 110298, 25287, 16144, 122412, 52030, 106528, 104599, 30512, 101662, 125655, 120266, 32335, 109431, 33208, 103646, 104378, 118587, 113164, 32131, 118928, 94550, 54926, 101513, 38093, 30512, 104908, 54926, 105908, 5486, 103192, 17129, 106624, 100604, 103856, 23538, 106627, 107430, 18904, 111098, 107294, 105722, 31431, 33541, 9174, 30537, 16, 18904, 13177, 17792, 103234, 118935, 11883, 111108, 20230, 118013, 70141, 32149, 30297, 113009, 10646, 15682, 117896, 40171, 567, 105864, 103, 99397, 52030, 106528, 20230, 109169, 58942, 104533, 50834, 102052, 33710, 64178, 122489, 16144, 104378, 29295, 109215, 198, 16325, 53229, 5232, 117917, 227, 94923, 52030, 106528, 55031, 120824, 99397, 52030, 106528, 20230, 60634, 30369, 109335, 13177, 114567, 116696, 123581, 10646, 38641, 123794, 109807, 37689, 109375, 29295, 109215, 36785, 106046 ]
[ 61689, 1811, 27452, 105262, 105110, 36896, 45163, 113257, 20230, 109809, 104067, 107113, 17792, 10646, 29295, 113938, 36896, 116696, 22398, 118587, 27704, 109315, 105933, 102944, 1811, 102147, 240, 124905, 30297, 110229, 15682, 112361, 113461, 123682, 5486, 33710, 64178, 29295, 99849, 32977, 32149, 32977, 108010, 30297, 103283, 16144, 114300, 83301, 120572, 76947, 87177, 125651, 109900, 104699, 110706, 108901, 109020, 102944, 118816, 5486, 118935, 11883, 126101, 122984, 21105, 103, 47884, 38144, 15682, 105110, 100604, 123253, 101832, 1811, 110523, 121, 40862, 5232, 220, 58426, 19732, 108086, 36785, 106046, 61689, 1811, 71289, 15682, 31431, 104378, 55031, 116696, 123581, 29295, 109215, 118816, 9174, 35417, 109904, 120824, 99397, 52030, 106528, 125175, 15682, 106222, 103087, 39084, 112028, 34048, 127303, 76947, 36896, 118322, 123628, 17792, 103378, 20230, 111575, 16144, 52030, 106528, 30512, 10646, 126194, 36896, 17663, 103854, 55031, 47884, 43240, 119064, 17792, 20230, 5486, 32335, 103167, 48249, 27479, 113614, 16556, 106581, 109904, 104654, 29295, 37705, 104028, 124122, 52030, 106528, 30512, 10646, 104908, 54926, 105908, 22656, 37507, 104468, 101860, 38641, 1811, 119627, 5486, 52030, 106528, 104378, 16556, 86127, 105459, 29295, 100927, 78183, 76947, 109749, 109335, 36896, 118322, 123628, 121648, 98369, 30512, 104405, 125338, 106515, 72342, 20230, 108608, 32149, 10646, 20230, 30358, 50834, 29295, 22324, 32149, 33121, 100481, 38144, 5486, 110924, 16556, 107188, 31431, 104603, 68581, 103830, 107407, 9174, 102131, 95604, 113334, 16556, 5486, 106222, 118788, 16144, 101182, 125231, 110783, 55031, 116900, 23039, 54926, 102404, 101067, 123410, 101427, 122, 70141, 32977, 101182, 66327, 86127, 29295, 104712, 119150, 52030, 106528, 30512, 74482, 101477, 102, 29295, 118765, 102189, 100472, 33503, 5486, 107943, 74482, 101477, 102, 112987, 110104, 66383, 95604, 105933, 109807, 110018, 20230, 13177, 74482, 101477, 102, 30512, 121355, 62004, 107726, 28713, 113702, 5486, 102663, 39880, 29295, 109948, 32149, 103470, 109020, 121648, 117940, 104405, 109020, 102189, 66383, 16995, 100472, 125456, 15682, 110794, 114146, 126386, 9174, 52030, 106528, 16144, 103359, 47523, 15682, 13177, 121568, 5486, 122013, 5486, 47260, 119263, 78683, 103906, 5486, 119208, 10646, 118816, 23187, 62004, 125398, 116233, 1811, 103429, 95221, 107407, 55031, 103359, 47523, 108176, 113334, 126194, 1811, 119627, 5486, 110298, 25287, 16144, 122412, 52030, 106528, 104599, 30512, 101662, 125655, 110115, 32335, 109431, 33208, 103646, 104378, 77181, 5486, 103429, 95221, 115991, 17701, 94923, 71005, 109519, 103792, 121568, 30512, 64121, 30369, 120266, 118220, 28542, 29295, 40265, 38144, 124195, 105898, 9174, 102131, 95604, 104378, 30512, 116216, 105898, 103188, 86436, 15682, 109954, 119703, 105879, 5486, 120824, 99397, 52030, 106528, 20230, 109169, 58942, 104533, 50834, 102052, 5486, 50834, 43514, 127842, 48864, 102802, 74245, 119432, 101513, 38093, 30512, 104908, 54926, 1811, 107943, 90962, 100560, 250, 114228, 57183, 94550, 198, 26130, 16, 29295, 27384, 102769, 26854, 120900, 106046, 61689, 9174, 26130, 16, 5232, 17039, 106624, 107430, 75267, 109156, 121118, 113850, 56965, 29295, 107430, 75267, 101983, 100204, 109315, 104466, 109169, 58942, 125639, 5486, 109431, 106608, 30512, 122521, 54926, 108167, 103214, 64121, 37087, 104322, 30512, 95604, 1811, 17039, 102800, 107430, 75267, 16556, 109215, 26854, 53283, 109375, 71289, 22398, 62903, 114615, 108710, 50928, 30512, 104378, 9458, 122521, 54926, 115789, 96412, 17129, 104028, 9174, 567, 220, 113850, 56965, 30512, 115079, 126172, 109335, 52030, 106528, 19732, 112361, 120264, 27384, 30926, 36785, 198, 16325, 53229, 5232, 105790, 15682, 112361, 13177, 52030, 106528, 10646, 29295, 59739, 16995, 100481, 38144, 5486, 104409, 100934, 106046, 123671, 126172, 16995, 123682, 5486, 109215, 26854, 103087, 35083, 29295, 112361, 121142, 30591, 76947, 115408, 102052, 13177, 108010, 30297, 102616, 10646, 126365, 58942, 33541, 101832, 109807, 103087, 35083, 114792, 103836, 55031, 102083, 76947, 5486, 101182, 110229, 16556, 30297, 17129, 47884, 16995, 113017, 114754, 5486, 33671, 16144, 102616, 109156, 100472, 110018, 20230, 59614, 101860, 15024, 108031, 17129, 47884, 16995, 47884, 107118, 112391, 100604, 38641, 1811, 122412, 52030, 106528, 55031, 120824, 99397, 52030, 106528, 20230, 60634, 104533, 50834, 15682, 5486, 108901, 29504, 120650, 47884, 25197, 126989, 16556, 107991, 102083, 117714, 111769, 123253, 32149, 1811, 31938, 115, 109156, 104984, 31938, 115, 20230, 123532, 58942, 102083, 61689, 29295, 36896, 25580, 102334, 102616, 16144, 105994, 117503, 110674, 13177, 108901, 29504, 10646, 120650, 76947, 5486, 105994, 30512, 104721, 58942, 101200, 19732, 21105, 103, 16995, 105110, 5486, 105184, 103350, 20230, 50520, 108, 104004, 123253, 101832, 1811, 110523, 121, 40862, 5232, 220, 117591, 77181, 36896, 51330, 17792, 30512, 118935, 11883, 54926, 32149, 104405, 32149, 118587, 64121, 103171, 16556, 104662, 109315, 116233, 1811, 28190, 101828, 16995, 104468, 5486, 106613, 112167, 16556, 113727, 104533, 118935, 100472, 118881, 29295, 104712, 127749, 16556, 36896, 118935, 110104, 66383, 26854, 31431, 29295, 43514, 66327, 114387, 20230, 112008, 102800, 102189, 15024, 118935, 100472, 118881, 29295, 115924, 103359, 104712, 104446, 25827, 10646, 76947, 91763, 30297, 116233, 107493, 124563, 112371, 32149, 102131, 105110, 100604, 116233, 123794, 9174, 122571, 114652, 13177, 118935, 11883, 76947, 52030, 106528, 19732, 112361, 104699, 110706, 27384, 30926, 120572, 10646, 76947, 112844, 116233, 66327, 105994, 16, 17792, 77181, 1041, 14558, 67016, 18904, 110615, 5486, 42016, 59999, 248, 19732, 123457, 114146, 127567, 1049, 14558, 18904, 104028, 1811, 42016, 59999, 248, 29295, 115079, 58942, 104533, 44620, 17663, 103854, 55031, 47884, 43240, 119064, 17792, 20230, 36761, 109431, 102769, 26854, 52030, 106528, 30512, 20230, 15120, 105564, 60358, 109669, 47884, 10646, 76947, 100909, 105321, 38641, 107493, 5486, 113954, 103296, 107188, 31431, 82973, 29295, 32149, 107277, 33541, 9174, 121606, 16144, 13153, 109809, 27479, 29295, 45736, 17129, 76947, 47884, 104533, 110371, 113727, 29295, 101682, 76622, 125639, 110071, 102189, 103950, 119150, 116233, 1811, 104378, 71289, 48864, 102802, 29295, 109215, 122543, 106046, 61689, 9174, 567, 103067, 95, 107430, 30046, 108270, 42634, 15682, 102832, 71634, 111769, 198, 119455, 5232, 103036, 65316, 106045, 54872, 16556, 116898, 100472, 25827, 114516, 116690, 29295, 109161, 115737, 76947, 114732, 19732, 5486, 108031, 16906, 111, 102800, 38641, 123794, 1811, 122412, 118816, 86867, 108436, 109033, 16556, 99849, 19732, 107188, 31431, 33541, 29295, 5486, 120824, 99397, 52030, 106528, 120950, 31809, 65316, 107430, 75267, 77181, 116898, 43514, 67645, 115389, 109161, 99750, 114792, 76947, 114732, 19732, 104603, 22398, 104603, 22398, 29295, 33420, 119841, 124845, 5486, 104603, 22398, 104603, 22398, 55031, 124349, 30512, 22324, 47884, 105908, 103082, 101860, 20230, 121355, 109315, 67016, 100604, 1811, 86127, 32977, 120824, 99397, 52030, 106528, 16556, 106649, 117232, 122502, 32149, 72342, 111243, 33503, 100472, 116233, 29295, 5486, 120824, 99397, 52030, 106528, 16144, 107430, 75267, 102052, 110074, 102639, 75267, 119703, 19732, 104195, 47884, 112391, 79721, 1811, 110523, 121, 40862, 5232, 106369, 42891, 116826, 104533, 108086, 16556, 5486, 121355, 62004, 100604, 17792, 30512, 118935, 30369, 112973, 25580, 29172, 77181, 101182, 116233, 29295, 115408, 29295, 114652, 112844, 104468, 36896, 89753, 91875, 34171, 30512, 33563, 28713, 100604, 102083, 124324, 126557, 102677, 104468, 5486, 101182, 113314, 16144, 106627, 107430, 96455, 15682, 33563, 28713, 100604, 19732, 121606, 16144, 53610, 29295, 102754, 223, 30369, 105879, 9174, 58426, 113009, 5486, 108056, 19732, 76171, 109768, 50834, 59739, 59739, 5486, 108056, 19732, 121355, 107436, 32977, 33503, 30297, 1811, 102131, 21105, 103, 29295, 33503, 121606, 15682, 26955, 94, 27384, 109768, 47884, 112973, 22649, 101067, 118816, 9174, 90620, 5486, 120824, 99397, 52030, 106528, 16144, 118935, 11883, 126913, 30046, 15682, 36785, 102334, 16995, 29295, 116898, 78183, 106644, 30369, 17792, 103234, 16144, 57326, 64178, 5486, 47307, 44971, 52414, 57326, 64178, 10110, 45163, 37507, 16144, 118935, 11883, 103550, 111983, 30046, 108134, 30512, 103846, 38144, 33334, 47884, 106624, 64121, 7705, 114792, 107462, 100604, 116233, 1811, 118935, 11883, 29295, 109215, 26854, 58426, 107507, 101198, 94550, 16556, 13177, 37271, 114225, 122502, 105898, 16995, 10646, 17792, 19732, 103768, 103424, 47884, 20834, 38093, 30297, 100909, 112649, 105784, 5486, 102677, 101462, 102, 102333, 253, 115226, 26854, 118935, 11883, 121142, 66327, 16, 8107, 74482, 122502, 102532, 124089, 32149, 32977, 10646, 115226, 26854, 114754, 16995, 100604, 55031, 5486, 121355, 62004, 107726, 102204, 100604, 28190, 32977, 101182, 106046, 61689, 101832, 9174, 16325, 53229, 5232, 220, 102131, 66327, 106627, 107430, 30046, 108270, 42634, 10646, 15682, 104662, 39926, 103192, 17129, 102800, 102944, 111769, 116233, 57980, 1811, 37656, 106624, 80631, 95, 112500, 118765, 17792, 102052, 121355, 107436, 32977, 33503, 30297, 118733, 82533, 104473, 54926, 123017, 27384, 30926, 1811, 117475, 15682, 5486, 108901, 91875, 29295, 103082, 104984, 56906, 107430, 20230, 57237, 121140, 20230, 17663, 104004, 115789, 101182, 116233, 29295, 110371, 115844, 118816, 77693, 32977, 111108, 102800, 125651, 1811, 107023, 122, 5232, 9085, 97, 229, 9039, 106826, 38248, 115, 78205, 16073, 126130, 110794, 110162, 16556, 5486, 86867, 108436, 109033, 29295, 108608, 105933, 118482, 30046, 15682, 43240, 47884, 100604, 38641, 55031, 101832, 9174, 567, 220, 36785, 102189, 127842, 63105, 113, 29295, 19732, 33121, 123733, 76947, 123332, 31809, 109768, 47884, 126465, 29295, 30832, 80195, 59739, 198, 16325, 53229, 5232, 76771, 223, 120950, 101275, 98220, 48915, 16144, 80195, 75267, 55031, 91774, 127567, 120953, 39926, 51330, 115844, 26854, 104865, 29295, 16937, 91763, 104760, 123253, 119703, 116233, 66327, 17, 13, 20, 17792, 11571, 106982, 76428, 11571, 76864, 76947, 91763, 30297, 1811, 16, 17792, 113487, 107674, 33503, 39880, 125916, 16556, 5486, 53900, 118935, 11883, 21105, 103, 50834, 101668, 105110, 100604, 5486, 118935, 11883, 106382, 1041, 110743, 16144, 108703, 35330, 30512, 109972, 78183, 100604, 102083, 124324, 5486, 108270, 42634, 55031, 100927, 58942, 26854, 50834, 101668, 105110, 100604, 1811, 17, 13, 20, 17792, 105755, 15682, 5486, 116900, 20230, 31809, 30813, 47884, 54926, 118881, 29295, 30297, 17129, 47884, 16995, 50834, 102131, 119627, 5486, 16, 17792, 77181, 118765, 25827, 112130, 1811, 119258, 120468, 114731, 109033, 70203, 16556, 17, 13, 20, 17792, 109215, 26854, 104662, 109709, 38641, 1811, 40452, 30046, 107173, 30297, 16, 114754, 40053, 114731, 5486, 80805, 84477, 16556, 9953, 103268, 17620, 5486, 29295, 111671, 39177, 112028, 118821, 123604, 38641, 1811, 73958, 53229, 5232, 220, 16, 116537, 99959, 39850, 105321, 125651, 1811, 105525, 17905, 71289, 14167, 100, 65854, 29295, 104662, 17129, 76947, 100604, 110115, 17792, 30512, 25132, 229, 78183, 100604, 102083, 124324, 5486, 120019, 26854, 112997, 29220, 125651, 1811, 110523, 121, 40862, 5232, 105864, 103, 99397, 52030, 106528, 101182, 101182, 115991, 17129, 39926, 5486, 114284, 114792, 76947, 5486, 113850, 16144, 126521, 98915, 36785, 43514, 17, 17792, 30512, 45918, 246, 76947, 118013, 109415, 33541, 1811, 37689, 95221, 21441, 248, 104680, 19732, 13177, 109298, 109298, 122412, 20230, 16995, 79721, 59712, 109298, 109298, 29295, 125545, 59712, 108895, 95604, 114284, 29295, 30591, 76947, 118326, 121256, 66383, 112167, 101275, 30512, 29295, 25827, 81219, 30369, 1811, 102131, 112990, 109088, 114166, 118273, 26854, 104865, 5486, 27704, 62004, 15682, 103963, 117943, 29295, 102971, 106391, 37507, 30369, 116233, 57980, 1811, 95221, 64209, 53283, 103468, 113850, 56965, 104405, 21105, 254, 55031, 20251, 32131, 112193, 32977, 83747, 100604, 15024, 106116, 107404, 125001, 43514, 81219, 25827, 101268, 110, 126469, 61689, 109900, 29295, 5486, 19, 21909, 20, 17792, 19732, 127348, 29295, 115079, 107800, 30591, 115926, 55031, 127359, 102750, 76428, 73590, 42634, 22398, 29295, 21990, 100204, 104533, 32149, 116898, 85791, 103171, 103682, 29295, 125119, 31431, 15682, 100204, 107436, 5486, 103359, 117120, 41007, 29295, 78183, 55031, 101860, 5486, 110498, 31431, 104087, 58942, 102204, 101860, 20230, 123332, 31809, 33208, 54926, 25197, 126989, 29295, 5486, 17663, 48154, 47884, 57903, 33541, 9174, 13177, 118013, 109415, 38144, 114225, 119962, 109349, 244, 10646, 126036, 5486, 113850, 56965, 121142, 125338, 5486, 105335, 84477, 15682, 30297, 17129, 47884, 16995, 47884, 29295, 5486, 121606, 29295, 26955, 94, 27384, 54926, 107294, 106824, 5486, 36785, 102189, 127842, 63105, 113, 29295, 19732, 33121, 123733, 107462, 47884, 1811, 107943, 27452, 29295, 127181, 104371, 47523, 38641, 9174, 83354, 83354, 33671, 18904, 13177, 120824, 99397, 52030, 106528, 40452, 30046, 29295, 89151, 20230, 109134, 125231, 100909, 10646, 15682, 117896, 198, 102936, 40862, 103350, 198, 972, 97049, 55031, 19361, 107918, 120761, 109519, 32938, 5486, 102667, 122412, 5486, 120824, 99397, 52030, 106528, 106826, 38248, 115, 78205, 16073, 19732, 5486, 122502, 47884, 116245, 30512, 60634, 21105, 97, 59739, 15120, 80631, 104, 39926, 122678, 107918, 52030, 106528, 20230, 120988, 78183, 30369, 1811, 112599, 15682, 5486, 103005, 106344, 20230, 52, 102514, 16073, 60634, 101987, 15024, 5486, 116294, 33710, 120824, 99397, 52030, 106528, 106826, 38248, 115, 78205, 16073, 103005, 106344, 16144, 106613, 112167, 19732, 102321, 75267, 30512, 120321, 106307, 21105, 103, 29295, 33503, 5486, 103242, 109519, 122491, 71289, 106222, 103005, 55228, 231, 122491, 5486, 108768, 33710, 106826, 48552, 39276, 114435, 16144, 109713, 60868, 33710, 103906, 94550, 32977, 104908, 1811, 116294, 33710, 121450, 15682, 5486, 120824, 99397, 52030, 106528, 106826, 38248, 115, 78205, 16073, 118482, 19732, 52591, 93488, 109933, 122624, 77413, 87447, 16144, 102717, 32149, 5486, 61304, 108565, 123141, 16144, 122401, 9458, 122626, 5486, 118935, 11883, 122521, 5486, 68, 32131, 118928, 94550, 122401, 9458, 122521, 104309, 30512, 46034, 115856, 76622, 100934, 66327, 22398, 25197, 101198, 11972, 10646, 16556, 31809, 30813, 26854, 115371, 29295, 43167, 17129, 76947, 107202, 103496, 30512, 110498, 31431, 104087, 58942, 109115, 104466, 5486, 112073, 16556, 43167, 115464, 118733, 96452, 44971, 26269, 76428, 122908, 39880, 29295, 108608, 121606, 30512, 30832, 64467, 103792, 9174, 119455, 17161, 103424, 198, 27384, 46034, 964, 123141, 108695, 5486, 33122, 61337, 114731, 102781, 30512, 106613, 38144, 5486, 679, 21, 116033, 121450, 76739, 70563, 41758, 101335, 30512, 119046, 109832, 101275, 1811, 76739, 70563, 41758, 101335, 16556, 122401, 9458, 122626, 103792, 17792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 61689, 1811, 27452, 105262, 105110, 36896, 45163, 113257, 20230, 109809, 104067, 107113, 17792, 10646, 29295, 113938, 36896, 116696, 22398, 118587, 27704, 109315, 105933, 102944, 1811, 102147, 240, 124905, 30297, 110229, 15682, 112361, 113461, 123682, 5486, 33710, 64178, 29295, 99849, 32977, 32149, 32977, 108010, 30297, 103283, 16144, 114300, 83301, 120572, 76947, 87177, 125651, 109900, 104699, 110706, 108901, 109020, 102944, 118816, 5486, 118935, 11883, 126101, 122984, 21105, 103, 47884, 38144, 15682, 105110, 100604, 123253, 101832, 1811, 110523, 121, 40862, 5232, 220, 58426, 19732, 108086, 36785, 106046, 61689, 1811, 71289, 15682, 31431, 104378, 55031, 116696, 123581, 29295, 109215, 118816, 9174, 35417, 109904, 120824, 99397, 52030, 106528, 125175, 15682, 106222, 103087, 39084, 112028, 34048, 127303, 76947, 36896, 118322, 123628, 17792, 103378, 20230, 111575, 16144, 52030, 106528, 30512, 10646, 126194, 36896, 17663, 103854, 55031, 47884, 43240, 119064, 17792, 20230, 5486, 32335, 103167, 48249, 27479, 113614, 16556, 106581, 109904, 104654, 29295, 37705, 104028, 124122, 52030, 106528, 30512, 10646, 104908, 54926, 105908, 22656, 37507, 104468, 101860, 38641, 1811, 119627, 5486, 52030, 106528, 104378, 16556, 86127, 105459, 29295, 100927, 78183, 76947, 109749, 109335, 36896, 118322, 123628, 121648, 98369, 30512, 104405, 125338, 106515, 72342, 20230, 108608, 32149, 10646, 20230, 30358, 50834, 29295, 22324, 32149, 33121, 100481, 38144, 5486, 110924, 16556, 107188, 31431, 104603, 68581, 103830, 107407, 9174, 102131, 95604, 113334, 16556, 5486, 106222, 118788, 16144, 101182, 125231, 110783, 55031, 116900, 23039, 54926, 102404, 101067, 123410, 101427, 122, 70141, 32977, 101182, 66327, 86127, 29295, 104712, 119150, 52030, 106528, 30512, 74482, 101477, 102, 29295, 118765, 102189, 100472, 33503, 5486, 107943, 74482, 101477, 102, 112987, 110104, 66383, 95604, 105933, 109807, 110018, 20230, 13177, 74482, 101477, 102, 30512, 121355, 62004, 107726, 28713, 113702, 5486, 102663, 39880, 29295, 109948, 32149, 103470, 109020, 121648, 117940, 104405, 109020, 102189, 66383, 16995, 100472, 125456, 15682, 110794, 114146, 126386, 9174, 52030, 106528, 16144, 103359, 47523, 15682, 13177, 121568, 5486, 122013, 5486, 47260, 119263, 78683, 103906, 5486, 119208, 10646, 118816, 23187, 62004, 125398, 116233, 1811, 103429, 95221, 107407, 55031, 103359, 47523, 108176, 113334, 126194, 1811, 119627, 5486, 110298, 25287, 16144, 122412, 52030, 106528, 104599, 30512, 101662, 125655, 110115, 32335, 109431, 33208, 103646, 104378, 77181, 5486, 103429, 95221, 115991, 17701, 94923, 71005, 109519, 103792, 121568, 30512, 64121, 30369, 120266, 118220, 28542, 29295, 40265, 38144, 124195, 105898, 9174, 102131, 95604, 104378, 30512, 116216, 105898, 103188, 86436, 15682, 109954, 119703, 105879, 5486, 120824, 99397, 52030, 106528, 20230, 109169, 58942, 104533, 50834, 102052, 5486, 50834, 43514, 127842, 48864, 102802, 74245, 119432, 101513, 38093, 30512, 104908, 54926, 1811, 107943, 90962, 100560, 250, 114228, 57183, 94550, 198, 26130, 16, 29295, 27384, 102769, 26854, 120900, 106046, 61689, 9174, 26130, 16, 5232, 17039, 106624, 107430, 75267, 109156, 121118, 113850, 56965, 29295, 107430, 75267, 101983, 100204, 109315, 104466, 109169, 58942, 125639, 5486, 109431, 106608, 30512, 122521, 54926, 108167, 103214, 64121, 37087, 104322, 30512, 95604, 1811, 17039, 102800, 107430, 75267, 16556, 109215, 26854, 53283, 109375, 71289, 22398, 62903, 114615, 108710, 50928, 30512, 104378, 9458, 122521, 54926, 115789, 96412, 17129, 104028, 9174, 567, 220, 113850, 56965, 30512, 115079, 126172, 109335, 52030, 106528, 19732, 112361, 120264, 27384, 30926, 36785, 198, 16325, 53229, 5232, 105790, 15682, 112361, 13177, 52030, 106528, 10646, 29295, 59739, 16995, 100481, 38144, 5486, 104409, 100934, 106046, 123671, 126172, 16995, 123682, 5486, 109215, 26854, 103087, 35083, 29295, 112361, 121142, 30591, 76947, 115408, 102052, 13177, 108010, 30297, 102616, 10646, 126365, 58942, 33541, 101832, 109807, 103087, 35083, 114792, 103836, 55031, 102083, 76947, 5486, 101182, 110229, 16556, 30297, 17129, 47884, 16995, 113017, 114754, 5486, 33671, 16144, 102616, 109156, 100472, 110018, 20230, 59614, 101860, 15024, 108031, 17129, 47884, 16995, 47884, 107118, 112391, 100604, 38641, 1811, 122412, 52030, 106528, 55031, 120824, 99397, 52030, 106528, 20230, 60634, 104533, 50834, 15682, 5486, 108901, 29504, 120650, 47884, 25197, 126989, 16556, 107991, 102083, 117714, 111769, 123253, 32149, 1811, 31938, 115, 109156, 104984, 31938, 115, 20230, 123532, 58942, 102083, 61689, 29295, 36896, 25580, 102334, 102616, 16144, 105994, 117503, 110674, 13177, 108901, 29504, 10646, 120650, 76947, 5486, 105994, 30512, 104721, 58942, 101200, 19732, 21105, 103, 16995, 105110, 5486, 105184, 103350, 20230, 50520, 108, 104004, 123253, 101832, 1811, 110523, 121, 40862, 5232, 220, 117591, 77181, 36896, 51330, 17792, 30512, 118935, 11883, 54926, 32149, 104405, 32149, 118587, 64121, 103171, 16556, 104662, 109315, 116233, 1811, 28190, 101828, 16995, 104468, 5486, 106613, 112167, 16556, 113727, 104533, 118935, 100472, 118881, 29295, 104712, 127749, 16556, 36896, 118935, 110104, 66383, 26854, 31431, 29295, 43514, 66327, 114387, 20230, 112008, 102800, 102189, 15024, 118935, 100472, 118881, 29295, 115924, 103359, 104712, 104446, 25827, 10646, 76947, 91763, 30297, 116233, 107493, 124563, 112371, 32149, 102131, 105110, 100604, 116233, 123794, 9174, 122571, 114652, 13177, 118935, 11883, 76947, 52030, 106528, 19732, 112361, 104699, 110706, 27384, 30926, 120572, 10646, 76947, 112844, 116233, 66327, 105994, 16, 17792, 77181, 1041, 14558, 67016, 18904, 110615, 5486, 42016, 59999, 248, 19732, 123457, 114146, 127567, 1049, 14558, 18904, 104028, 1811, 42016, 59999, 248, 29295, 115079, 58942, 104533, 44620, 17663, 103854, 55031, 47884, 43240, 119064, 17792, 20230, 36761, 109431, 102769, 26854, 52030, 106528, 30512, 20230, 15120, 105564, 60358, 109669, 47884, 10646, 76947, 100909, 105321, 38641, 107493, 5486, 113954, 103296, 107188, 31431, 82973, 29295, 32149, 107277, 33541, 9174, 121606, 16144, 13153, 109809, 27479, 29295, 45736, 17129, 76947, 47884, 104533, 110371, 113727, 29295, 101682, 76622, 125639, 110071, 102189, 103950, 119150, 116233, 1811, 104378, 71289, 48864, 102802, 29295, 109215, 122543, 106046, 61689, 9174, 567, 103067, 95, 107430, 30046, 108270, 42634, 15682, 102832, 71634, 111769, 198, 119455, 5232, 103036, 65316, 106045, 54872, 16556, 116898, 100472, 25827, 114516, 116690, 29295, 109161, 115737, 76947, 114732, 19732, 5486, 108031, 16906, 111, 102800, 38641, 123794, 1811, 122412, 118816, 86867, 108436, 109033, 16556, 99849, 19732, 107188, 31431, 33541, 29295, 5486, 120824, 99397, 52030, 106528, 120950, 31809, 65316, 107430, 75267, 77181, 116898, 43514, 67645, 115389, 109161, 99750, 114792, 76947, 114732, 19732, 104603, 22398, 104603, 22398, 29295, 33420, 119841, 124845, 5486, 104603, 22398, 104603, 22398, 55031, 124349, 30512, 22324, 47884, 105908, 103082, 101860, 20230, 121355, 109315, 67016, 100604, 1811, 86127, 32977, 120824, 99397, 52030, 106528, 16556, 106649, 117232, 122502, 32149, 72342, 111243, 33503, 100472, 116233, 29295, 5486, 120824, 99397, 52030, 106528, 16144, 107430, 75267, 102052, 110074, 102639, 75267, 119703, 19732, 104195, 47884, 112391, 79721, 1811, 110523, 121, 40862, 5232, 106369, 42891, 116826, 104533, 108086, 16556, 5486, 121355, 62004, 100604, 17792, 30512, 118935, 30369, 112973, 25580, 29172, 77181, 101182, 116233, 29295, 115408, 29295, 114652, 112844, 104468, 36896, 89753, 91875, 34171, 30512, 33563, 28713, 100604, 102083, 124324, 126557, 102677, 104468, 5486, 101182, 113314, 16144, 106627, 107430, 96455, 15682, 33563, 28713, 100604, 19732, 121606, 16144, 53610, 29295, 102754, 223, 30369, 105879, 9174, 58426, 113009, 5486, 108056, 19732, 76171, 109768, 50834, 59739, 59739, 5486, 108056, 19732, 121355, 107436, 32977, 33503, 30297, 1811, 102131, 21105, 103, 29295, 33503, 121606, 15682, 26955, 94, 27384, 109768, 47884, 112973, 22649, 101067, 118816, 9174, 90620, 5486, 120824, 99397, 52030, 106528, 16144, 118935, 11883, 126913, 30046, 15682, 36785, 102334, 16995, 29295, 116898, 78183, 106644, 30369, 17792, 103234, 16144, 57326, 64178, 5486, 47307, 44971, 52414, 57326, 64178, 10110, 45163, 37507, 16144, 118935, 11883, 103550, 111983, 30046, 108134, 30512, 103846, 38144, 33334, 47884, 106624, 64121, 7705, 114792, 107462, 100604, 116233, 1811, 118935, 11883, 29295, 109215, 26854, 58426, 107507, 101198, 94550, 16556, 13177, 37271, 114225, 122502, 105898, 16995, 10646, 17792, 19732, 103768, 103424, 47884, 20834, 38093, 30297, 100909, 112649, 105784, 5486, 102677, 101462, 102, 102333, 253, 115226, 26854, 118935, 11883, 121142, 66327, 16, 8107, 74482, 122502, 102532, 124089, 32149, 32977, 10646, 115226, 26854, 114754, 16995, 100604, 55031, 5486, 121355, 62004, 107726, 102204, 100604, 28190, 32977, 101182, 106046, 61689, 101832, 9174, 16325, 53229, 5232, 220, 102131, 66327, 106627, 107430, 30046, 108270, 42634, 10646, 15682, 104662, 39926, 103192, 17129, 102800, 102944, 111769, 116233, 57980, 1811, 37656, 106624, 80631, 95, 112500, 118765, 17792, 102052, 121355, 107436, 32977, 33503, 30297, 118733, 82533, 104473, 54926, 123017, 27384, 30926, 1811, 117475, 15682, 5486, 108901, 91875, 29295, 103082, 104984, 56906, 107430, 20230, 57237, 121140, 20230, 17663, 104004, 115789, 101182, 116233, 29295, 110371, 115844, 118816, 77693, 32977, 111108, 102800, 125651, 1811, 107023, 122, 5232, 9085, 97, 229, 9039, 106826, 38248, 115, 78205, 16073, 126130, 110794, 110162, 16556, 5486, 86867, 108436, 109033, 29295, 108608, 105933, 118482, 30046, 15682, 43240, 47884, 100604, 38641, 55031, 101832, 9174, 567, 220, 36785, 102189, 127842, 63105, 113, 29295, 19732, 33121, 123733, 76947, 123332, 31809, 109768, 47884, 126465, 29295, 30832, 80195, 59739, 198, 16325, 53229, 5232, 76771, 223, 120950, 101275, 98220, 48915, 16144, 80195, 75267, 55031, 91774, 127567, 120953, 39926, 51330, 115844, 26854, 104865, 29295, 16937, 91763, 104760, 123253, 119703, 116233, 66327, 17, 13, 20, 17792, 11571, 106982, 76428, 11571, 76864, 76947, 91763, 30297, 1811, 16, 17792, 113487, 107674, 33503, 39880, 125916, 16556, 5486, 53900, 118935, 11883, 21105, 103, 50834, 101668, 105110, 100604, 5486, 118935, 11883, 106382, 1041, 110743, 16144, 108703, 35330, 30512, 109972, 78183, 100604, 102083, 124324, 5486, 108270, 42634, 55031, 100927, 58942, 26854, 50834, 101668, 105110, 100604, 1811, 17, 13, 20, 17792, 105755, 15682, 5486, 116900, 20230, 31809, 30813, 47884, 54926, 118881, 29295, 30297, 17129, 47884, 16995, 50834, 102131, 119627, 5486, 16, 17792, 77181, 118765, 25827, 112130, 1811, 119258, 120468, 114731, 109033, 70203, 16556, 17, 13, 20, 17792, 109215, 26854, 104662, 109709, 38641, 1811, 40452, 30046, 107173, 30297, 16, 114754, 40053, 114731, 5486, 80805, 84477, 16556, 9953, 103268, 17620, 5486, 29295, 111671, 39177, 112028, 118821, 123604, 38641, 1811, 73958, 53229, 5232, 220, 16, 116537, 99959, 39850, 105321, 125651, 1811, 105525, 17905, 71289, 14167, 100, 65854, 29295, 104662, 17129, 76947, 100604, 110115, 17792, 30512, 25132, 229, 78183, 100604, 102083, 124324, 5486, 120019, 26854, 112997, 29220, 125651, 1811, 110523, 121, 40862, 5232, 105864, 103, 99397, 52030, 106528, 101182, 101182, 115991, 17129, 39926, 5486, 114284, 114792, 76947, 5486, 113850, 16144, 126521, 98915, 36785, 43514, 17, 17792, 30512, 45918, 246, 76947, 118013, 109415, 33541, 1811, 37689, 95221, 21441, 248, 104680, 19732, 13177, 109298, 109298, 122412, 20230, 16995, 79721, 59712, 109298, 109298, 29295, 125545, 59712, 108895, 95604, 114284, 29295, 30591, 76947, 118326, 121256, 66383, 112167, 101275, 30512, 29295, 25827, 81219, 30369, 1811, 102131, 112990, 109088, 114166, 118273, 26854, 104865, 5486, 27704, 62004, 15682, 103963, 117943, 29295, 102971, 106391, 37507, 30369, 116233, 57980, 1811, 95221, 64209, 53283, 103468, 113850, 56965, 104405, 21105, 254, 55031, 20251, 32131, 112193, 32977, 83747, 100604, 15024, 106116, 107404, 125001, 43514, 81219, 25827, 101268, 110, 126469, 61689, 109900, 29295, 5486, 19, 21909, 20, 17792, 19732, 127348, 29295, 115079, 107800, 30591, 115926, 55031, 127359, 102750, 76428, 73590, 42634, 22398, 29295, 21990, 100204, 104533, 32149, 116898, 85791, 103171, 103682, 29295, 125119, 31431, 15682, 100204, 107436, 5486, 103359, 117120, 41007, 29295, 78183, 55031, 101860, 5486, 110498, 31431, 104087, 58942, 102204, 101860, 20230, 123332, 31809, 33208, 54926, 25197, 126989, 29295, 5486, 17663, 48154, 47884, 57903, 33541, 9174, 13177, 118013, 109415, 38144, 114225, 119962, 109349, 244, 10646, 126036, 5486, 113850, 56965, 121142, 125338, 5486, 105335, 84477, 15682, 30297, 17129, 47884, 16995, 47884, 29295, 5486, 121606, 29295, 26955, 94, 27384, 54926, 107294, 106824, 5486, 36785, 102189, 127842, 63105, 113, 29295, 19732, 33121, 123733, 107462, 47884, 1811, 107943, 27452, 29295, 127181, 104371, 47523, 38641, 9174, 83354, 83354, 33671, 18904, 13177, 120824, 99397, 52030, 106528, 40452, 30046, 29295, 89151, 20230, 109134, 125231, 100909, 10646, 15682, 117896, 198, 102936, 40862, 103350, 198, 972, 97049, 55031, 19361, 107918, 120761, 109519, 32938, 5486, 102667, 122412, 5486, 120824, 99397, 52030, 106528, 106826, 38248, 115, 78205, 16073, 19732, 5486, 122502, 47884, 116245, 30512, 60634, 21105, 97, 59739, 15120, 80631, 104, 39926, 122678, 107918, 52030, 106528, 20230, 120988, 78183, 30369, 1811, 112599, 15682, 5486, 103005, 106344, 20230, 52, 102514, 16073, 60634, 101987, 15024, 5486, 116294, 33710, 120824, 99397, 52030, 106528, 106826, 38248, 115, 78205, 16073, 103005, 106344, 16144, 106613, 112167, 19732, 102321, 75267, 30512, 120321, 106307, 21105, 103, 29295, 33503, 5486, 103242, 109519, 122491, 71289, 106222, 103005, 55228, 231, 122491, 5486, 108768, 33710, 106826, 48552, 39276, 114435, 16144, 109713, 60868, 33710, 103906, 94550, 32977, 104908, 1811, 116294, 33710, 121450, 15682, 5486, 120824, 99397, 52030, 106528, 106826, 38248, 115, 78205, 16073, 118482, 19732, 52591, 93488, 109933, 122624, 77413, 87447, 16144, 102717, 32149, 5486, 61304, 108565, 123141, 16144, 122401, 9458, 122626, 5486, 118935, 11883, 122521, 5486, 68, 32131, 118928, 94550, 122401, 9458, 122521, 104309, 30512, 46034, 115856, 76622, 100934, 66327, 22398, 25197, 101198, 11972, 10646, 16556, 31809, 30813, 26854, 115371, 29295, 43167, 17129, 76947, 107202, 103496, 30512, 110498, 31431, 104087, 58942, 109115, 104466, 5486, 112073, 16556, 43167, 115464, 118733, 96452, 44971, 26269, 76428, 122908, 39880, 29295, 108608, 121606, 30512, 30832, 64467, 103792, 9174, 119455, 17161, 103424, 198, 27384, 46034, 964, 123141, 108695, 5486, 33122, 61337, 114731, 102781, 30512, 106613, 38144, 5486, 679, 21, 116033, 121450, 76739, 70563, 41758, 101335, 30512, 119046, 109832, 101275, 1811, 76739, 70563, 41758, 101335, 16556, 122401, 9458, 122626, 103792, 17792 ]
[ 103234, 68759, 102750, 76428, 73590, 123141, 15682, 5486, 103242, 109519, 9458, 75910, 106528, 108761, 103438, 20230, 66378, 33208, 103792, 102433, 85707, 16144, 105107, 25446, 116787, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 71289, 76739, 16073, 105621, 78767, 73590, 30512, 108867, 23187, 54926, 105908, 66378, 101544, 1811, 76739, 16073, 105621, 78767, 73590, 71289, 102494, 78459, 102832, 38248, 115, 78205, 16073, 121894, 29295, 118789, 109904, 64467, 105888, 105352, 19732, 109669, 102532, 108867, 23187, 84389, 106116, 91774, 105262, 33208, 30512, 33035, 15024, 5486, 121606, 19732, 106613, 112167, 110176, 28190, 16144, 105298, 37087, 33208, 30512, 111629, 30369, 105908, 108608, 9174, 16325, 53229, 85315, 111, 198, 13177, 27384, 107707, 48864, 102802, 30512, 108396, 54926, 118587, 57933, 108941, 20230, 5486, 114435, 9458, 121606, 122692, 17792, 103234, 122401, 5486, 121606, 122401, 109853, 102473, 103792, 1811, 102700, 102181, 20230, 36896, 107430, 75267, 48864, 108710, 105242, 59712, 106613, 112167, 48864, 108710, 105242, 59712, 17792, 103234, 122401, 102473, 124143, 116326, 111344, 102667, 109898, 38093, 7705, 36896, 121606, 122401, 16144, 106767, 102012, 116326, 16325, 101634, 34208, 117406, 105514, 110792, 55999, 102700, 5486, 99959, 117733, 102494, 102860, 61337, 7705, 36896, 101772, 23951, 122401, 17701, 103722, 59712, 44620, 101772, 23951, 107624, 95001, 36761, 16144, 100927, 70626, 102181, 116326, 99959, 117733, 102494, 102860, 61337, 7705, 36896, 125894, 76622, 121216, 68759, 102750, 106901, 115247, 13153, 101544, 105242, 116326, 16325, 35417, 17039, 102181, 119539, 44971, 7705, 36896, 108618, 101275, 48864, 116326, 80805, 38248, 121, 33710, 110022, 40862, 121224, 110792, 55999, 102700, 5486, 101426, 17161, 61337, 17039, 102181, 7705, 36896, 106384, 65575, 66953, 48552, 17701, 103722, 59712, 60868, 25005, 247, 25197, 9458, 106384, 65575, 66953, 48552, 17701, 103722, 59712, 87177, 15024, 40862, 117714, 19967, 25333, 116326, 71689, 5486, 15510, 121224, 7705, 104309, 43240, 9039, 9174, 77219, 104817, 43167, 5232, 121450, 39850, 103857, 71493, 109898, 198, 121980, 63923, 232, 63923, 232, 63923, 232, 63923, 232, 198, 47774, 96452, 61398, 99695, 61398, 105335, 103857, 198, 120824, 99397, 52030, 106528, 105335, 26269, 52591, 70141, 76622, 16144, 108038, 110191, 118372, 104378, 125175, 1811, 114363, 103722, 52030, 106528, 104599, 9458, 104736, 23187, 52030, 106528, 104599, 104309, 5486, 106613, 111186, 119515, 105469, 26854, 114341, 104599, 123717, 29295, 105335, 26269, 52591, 104378, 30512, 60868, 121057, 198, 12, 102362, 103234, 118935, 11883, 111108, 20230, 118013, 70141, 32149, 30297, 113009, 21909, 120824, 99397, 52030, 106528, 19732, 122412, 52030, 106528, 16144, 122074, 109904, 121953, 107118, 21909, 198, 12, 107668, 102802, 74245, 119432, 101513, 38093, 30512, 104908, 54926, 105908, 107693, 21909, 52030, 106528, 16144, 103359, 47523, 15682, 118322, 25580, 112028, 17792, 103378, 111769, 21909, 198, 12, 105864, 103, 99397, 52030, 106528, 40452, 30046, 29295, 89151, 20230, 109134, 125231, 100909, 21909, 105335, 26269, 52591, 122521, 19732, 106624, 64121, 109669, 47884, 112586, 26130, 48634, 54926, 21909, 198, 12, 105864, 103, 99397, 52030, 106528, 118482, 32938, 16144, 105677, 25766, 225, 82533, 30512, 103181, 104699, 21909, 60632, 105576, 109832, 20834, 16144, 113954, 19732, 121606, 109669, 47884, 111331, 125456, 15682, 52030, 106528, 19732, 112361, 120264, 27384, 102769, 21909, 128001, 128000, 567, 110124, 229, 106518, 115376, 75146, 17920, 236, 114341, 103605, 29295, 17039, 106624, 26854, 31431, 79721, 106609, 51, 1937, 46, 79408, 21909, 33334, 35330, 116771, 110706, 113404, 21909, 77181, 115515, 123470, 103087, 106518, 115376, 20230, 107734, 80195, 59739, 125525, 114305, 13177, 59739, 64121, 28713, 38144, 45, 35301, 10646, 71289, 13177, 72, 1951, 7489, 10646, 109853, 17620, 107277, 126172, 47884, 33334, 108044, 58942, 127145, 9174, 120613, 15682, 104655, 102334, 105908, 101182, 107493, 13177, 99849, 19732, 103470, 105994, 30926, 111769, 116499, 54926, 59712, 125173, 123410, 112973, 119467, 16995, 66383, 15682, 100204, 62004, 112028, 105564, 29295, 119870, 64121, 20834, 72342, 126386, 24273, 121254, 107441, 5486, 126330, 123863, 114652, 101182, 125144, 50338, 71289, 103911, 62004, 53283, 76947, 33334, 105898, 16995, 105509, 26854, 103087, 106518, 103768, 11883, 16144, 109673, 108630, 30512, 104257, 121370, 107898, 108044, 58942, 15024, 5486, 110322, 106306, 40526, 103605, 125523, 102332, 39926, 105994, 16556, 47043, 30512, 102647, 104369, 120098, 103296, 30512, 110480, 30512, 104862, 76947, 122984, 109768, 50834, 33541, 9174, 37271, 103296, 87447, 113497, 56051, 114341, 103605, 15682, 37087, 24, 18904, 10110, 49, 18, 13, 21, 9953, 39177, 28542, 23954, 101682, 114341, 30046, 98369, 126328, 13177, 40526, 103605, 125523, 102332, 39926, 103768, 11883, 30512, 27704, 62004, 102204, 79721, 76864, 19732, 5486, 108422, 47884, 108422, 126145, 48154, 89046, 117139, 30512, 16995, 90620, 102532, 61689, 127413, 198, 37271, 18904, 15682, 85701, 103296, 16144, 44915, 55031, 122270, 66953, 78767, 78205, 16073, 122060, 39926, 5486, 105755, 103350, 124299, 15024, 126172, 16995, 104466, 108134, 30512, 109466, 31431, 121423, 79721, 106609, 103087, 106518, 115376, 30512, 89151, 119063, 20230, 78698, 107290, 103768, 11883, 30512, 27704, 107436, 115226, 106046, 103836, 24273, 20230, 109948, 50834, 33541, 104466, 127413, 198, 20713, 59983, 126330, 16144, 22656, 105284, 30512, 53283, 104984, 119467, 47884, 100604, 127413, 198, 9458, 103350, 15682, 125144, 50338, 103792, 32149, 32977, 6447, 126330, 19732, 80172, 101513, 16144, 121953, 198, 9458, 13177, 126330, 15682, 125173, 123410, 66383, 114652, 104655, 119064, 102052, 114667, 107407, 116233, 9174, 25963, 59983, 51385, 64209, 107898, 35330, 30512, 101662, 125655, 124122, 103087, 106518, 103768, 11883, 34617, 32149, 40089, 198, 9458, 17620, 107471, 125456, 16556, 112997, 29220, 30512, 114485, 33503, 17663, 198, 9458, 101544, 23538, 125456, 16556, 106644, 100472, 31431, 106391, 105262, 198, 9458, 31809, 30813, 47884, 91774, 107290, 27384, 112495, 46034, 9039, 42506, 198, 34617, 59983, 125525, 114305, 119279, 22398, 22398, 39850, 26854, 114667, 198, 123532, 37507, 16144, 103087, 106518, 103768, 11883, 110792, 121953, 30512, 53283, 76947, 17905, 124475, 76706, 11883, 103801, 109954, 17245, 104, 198, 52884, 108748, 29220, 107507, 91062, 21909, 117382, 55031, 101182, 47043, 15682, 104405, 11571, 21909, 198, 48864, 103087, 33563, 117126, 5486, 80631, 107, 105623, 226, 34171, 16144, 101182, 33563, 117126, 5486, 121410, 9953, 17620, 55487, 25287, 104774, 102860, 77693, 108422, 33121, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 50338, 108323, 78434, 9174, 46702, 59983, 125525, 114305, 16144, 77693, 108422, 33121, 16144, 121953, 30512, 17599, 117, 104792, 50338, 108323, 198, 9458, 105509, 26854, 101544, 23538, 126330, 16144, 108729, 83799, 13177, 59739, 64121, 28713, 38144, 45, 35301, 111329, 9458, 114305, 23226, 37656, 16556, 33655, 114774, 17663, 47884, 109020, 13177, 108936, 45, 35301, 111329, 9458, 53283, 107462, 104533, 107734, 20230, 80195, 59739, 13177, 115478, 114676, 45, 35301, 111329, 9458, 126053, 47884, 105994, 16556, 59739, 109749, 8107, 35330, 13177, 72, 1951, 7489, 111329, 44597, 59983, 13177, 33334, 35330, 29295, 101662, 59739, 33334, 112686, 52927, 114792, 78699, 76864, 118823, 110322, 106306, 16144, 27704, 62004, 24273, 198, 9458, 13177, 105994, 15682, 67645, 112384, 105647, 91006, 105465, 36827, 110322, 106306, 19732, 50, 8768, 110322, 106306, 77693, 108422, 33121, 16144, 66378, 17599, 112, 198, 60596, 59983, 91763, 100472, 105755, 112825, 110904, 127413, 126330, 22023, 29245, 245, 102647, 102802, 16144, 120098, 46702, 102647, 198, 9458, 76171, 68408, 107840, 19732, 39880, 29220, 103906, 52884, 16144, 121953, 30512, 110408, 30813, 105262, 198, 9458, 102616, 106613, 111587, 37087, 33014, 15682, 13153, 101544, 103792, 102677, 113727, 24273, 198, 9458, 108729, 15682, 108156, 29430, 108149, 107118, 66953, 119930, 198, 9458, 46034, 9039, 42506, 15682, 59614, 101860, 116696, 48552, 198, 14711, 120174, 114341, 54926, 118733, 50928, 110071, 100909, 127413, 198, 9468, 239, 249, 103087, 106518, 115376, 29295, 105994, 105352, 27384, 102769, 118816, 112391, 30369, 50834, 42891, 126929, 115717, 33541, 198, 9468, 239, 249, 37271, 103296, 126330, 29295, 119467, 102518, 114667, 29295, 17620, 107277, 33541, 198, 9468, 239, 249, 126330, 16144, 25197, 126989, 29295, 124500, 76947, 96356, 60358, 20230, 112391, 110071, 101200, 115717, 33541, 198, 9468, 239, 249, 111108, 21105, 251, 30297, 106046, 106358, 102208, 114305, 16144, 121953, 29295, 17620, 107277, 33541, 198, 9468, 239, 249, 105994, 15682, 67645, 33121, 29295, 40862, 103836, 104865, 25197, 126989, 108608, 101200, 115717, 33541, 198, 9468, 239, 249, 118789, 109904, 27704, 62004, 24273, 29295, 17620, 126469, 123120, 20230, 60634, 72342, 33541, 198, 9468, 239, 249, 110322, 106306, 40526, 103605, 125523, 47884, 102677, 102040, 65575, 33710, 29295, 103167, 115737, 31431, 5486, 85707, 62004, 112028, 105564, 29295, 119870, 64121, 20834, 72342, 33541, 198, 77693, 19732, 105509, 26854, 103087, 106518, 103768, 11883, 41007, 102083, 114598, 5486, 103768, 11883, 58426, 102944, 102052, 27384, 26854, 31431, 31809, 26854, 31431, 59614, 101860, 112997, 29220, 29295, 48706, 78434, 9174, 13177, 99849, 32977, 21105, 103, 118145, 125173, 30512, 21105, 103, 16995, 66383, 78698, 105262, 17792, 32977, 110371, 61826, 13177, 99849, 32977, 21105, 103, 102518, 55031, 125173, 126198, 66383, 91763, 30297, 32149, 110241, 33121, 107515, 9174, 112371, 104328, 110901, 16144, 110018, 27704, 107436, 103424, 102518, 66383, 91763, 105262, 24273, 29295, 115079, 58942, 33541, 104466, 127413, 198, 14711, 220, 114387, 24273, 107898, 22398, 22398, 39850, 38641, 40620, 198, 93273, 245, 33334, 35330, 30512, 115079, 71289, 39926, 102756, 29220, 102756, 29220, 56051, 16995, 24273, 198, 93273, 245, 17039, 102800, 120266, 109933, 111999, 76428, 56051, 16995, 24273, 198, 93273, 245, 126053, 16995, 41007, 16556, 33334, 35330, 30512, 115079, 71289, 56051, 16995, 24273, 198, 93273, 245, 105509, 26854, 41007, 16556, 33334, 35330, 30512, 115079, 71289, 56051, 16995, 24273, 198, 93273, 245, 120987, 16144, 82420, 55723, 20230, 103350, 102321, 34171, 114792, 28713, 72342, 106956, 24273, 198, 51, 1937, 46, 79408, 15682, 47043, 102647, 102802, 71289, 109198, 17701, 46034, 106307, 50834, 32977, 37087, 38144, 114363, 103722, 46729, 20230, 49988, 72342, 106956, 102677, 24273, 112197, 107734, 102052, 108618, 104611, 106272, 121697, 107515, 9174, 53900, 101544, 23538, 109904, 103087, 106518, 103768, 11883, 30512, 25580, 29172, 103306, 107991, 103846, 5486, 114225, 107898, 35330, 30512, 115079, 71289, 56051, 16995, 102677, 24273, 112197, 107734, 105352, 80195, 59739, 105908, 103082, 107515, 105879, 48154, 35287, 105005, 72315, 105823, 9174, 28038, 87447, 113497, 9080, 115597, 28038, 110284, 41007, 115597, 110191, 118372, 123141, 26728, 30512, 107740, 78434, 9174, 103672, 37823, 72369, 103202, 115991, 33541, 105879, 5486, 108968, 126867, 31809, 105677, 107063, 102, 32977, 30775, 253, 64121, 59739, 59739, 39880, 67075, 103927, 103202, 26854, 25132, 108, 116310, 95221, 16556, 103130, 107436, 74843, 31431, 33541, 9174, 108968, 16325, 19732, 114626, 20230, 105284, 99397, 107507, 91062, 32977, 102332, 76622, 33541, 105879, 48154, 105284, 99397, 15682, 111764, 116446, 72315, 101832, 106609, 114341, 103605, 101682, 114341, 74482, 15682, 39880, 38248, 104, 25197, 52884, 30512, 111419, 117232, 48154, 103984, 36735, 112, 16995, 90620, 76622, 33541, 9174, 50520, 111, 102800, 109544, 32977, 24317, 16556, 33334, 37705, 31431, 78434, 105879, 123927, 104196, 112586, 48154, 76706, 11883, 72315, 17245, 104, 198, 28038, 32938, 11883, 82973, 115597, 17, 82973, 966, 17620, 10110, 105284, 107750, 106608, 103899, 16144, 44915, 16556, 115251, 90962, 112164, 11972, 54926, 125396, 57903, 23954, 28038, 110284, 106382, 115597, 85188, 104526, 22, 11, 931, 35757, 198, 28038, 46456, 124237, 41007, 115597, 106644, 30297, 114867, 115191, 40526, 103605, 111363, 123927, 121423, 32149, 72305, 16144, 25963, 121640, 55031, 33334, 102647, 102802, 72315, 9174, 28038, 102782, 121423, 89753, 33121, 115597, 122481, 17297, 34048, 16144, 44620, 114341, 103605, 30512, 102782, 15024, 104526, 104004, 36761, 30512, 121507, 112990, 17701, 48634, 55723, 28190, 29295, 87447, 50834, 33541, 9174, 33334, 120613, 5486, 39850, 64178, 39880, 45923, 108744, 30512, 48154, 17701, 48634, 16144, 30297, 58942, 11144, 103087, 106518, 115376, 114341, 103605, 11199, 126130, 102647, 102802, 72315, 9174, 46456, 124237, 41007, 121507, 56051, 30297, 58942, 16556, 37705, 22023, 109768, 90620, 50834, 33541, 19732, 5486, 48154, 17701, 48634, 16995, 90620, 102334, 39880, 45923, 108744, 8676, 249, 20230, 46456, 124237, 61826, 16144, 108134, 29295, 109948, 50834, 33541, 9174, 17701, 35330, 114140, 123090, 40265, 9080, 107740, 54926, 57, 2689, 127881, 3222, 126130, 53283, 117063, 102334, 78434, 9174, 28038, 107391, 16073, 64810, 33710, 89154, 37823, 120404, 115597, 33334, 46456, 124237, 16995, 15682, 109544, 37705, 47000, 16144, 116690, 55031, 114341, 103605, 40265, 9080, 18, 9080, 25580, 103296, 107898, 124730, 102334, 78434, 9174, 126738, 101682, 114341, 42506, 126130, 46456, 124237, 104712, 90620, 102334, 123470, 107391, 16073, 64810, 33710, 15682, 105005, 76947, 108086, 107515, 9174, 33671, 18904, 16144, 42016, 44915, 114341, 103605, 111363, 9080, 39607, 122489, 32149, 108565, 55723, 103984, 36735, 112, 126130, 124730, 126020, 33541, 9174, 48, 5232, 45829, 67645, 32977, 71289, 109657, 108056, 29295, 107991, 117501, 16556, 101682, 114341, 120837, 27384, 121313, 112130, 95532, 32, 5232, 109606, 124897, 127413, 22398, 102803, 45923, 16325, 15682, 108729, 119263, 84477, 20230, 109768, 90620, 50834, 33541, 15024, 5486, 105284, 99397, 107507, 91062, 32977, 95221, 108176, 126513, 119263, 84477, 16144, 110674, 109933, 67075, 16556, 48154, 105284, 99397, 16995, 90620, 76622, 33541, 9174, 48, 5232, 124131, 103927, 55031, 72661, 110284, 125545, 32149, 48, 5232, 44915, 107294, 16995, 100481, 105784, 32149, 127408, 38641, 198, 32, 5232, 22398, 102803, 45923, 30512, 107740, 54926, 103846, 4977, 29295, 103192, 17129, 102800, 119627, 5486, 124131, 84477, 108526, 16073, 71289, 47307, 52884, 123167, 55031, 32977, 48154, 101682, 114341, 16995, 90620, 76622, 33541, 109807, 104983, 102052, 55723, 28190, 30512, 109203, 70141, 50834, 116446, 48154, 103984, 36735, 112, 72315, 105823, 9174, 48, 5232, 44915, 107294, 16995, 100481, 105784, 32149, 127408, 38641, 198, 32, 5232, 15682, 100204, 107436, 104655, 47884, 112690, 71289, 44915, 32977, 57903, 111108, 106624, 112391, 30369, 115789, 101182 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103234, 68759, 102750, 76428, 73590, 123141, 15682, 5486, 103242, 109519, 9458, 75910, 106528, 108761, 103438, 20230, 66378, 33208, 103792, 102433, 85707, 16144, 105107, 25446, 116787, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 71289, 76739, 16073, 105621, 78767, 73590, 30512, 108867, 23187, 54926, 105908, 66378, 101544, 1811, 76739, 16073, 105621, 78767, 73590, 71289, 102494, 78459, 102832, 38248, 115, 78205, 16073, 121894, 29295, 118789, 109904, 64467, 105888, 105352, 19732, 109669, 102532, 108867, 23187, 84389, 106116, 91774, 105262, 33208, 30512, 33035, 15024, 5486, 121606, 19732, 106613, 112167, 110176, 28190, 16144, 105298, 37087, 33208, 30512, 111629, 30369, 105908, 108608, 9174, 16325, 53229, 85315, 111, 198, 13177, 27384, 107707, 48864, 102802, 30512, 108396, 54926, 118587, 57933, 108941, 20230, 5486, 114435, 9458, 121606, 122692, 17792, 103234, 122401, 5486, 121606, 122401, 109853, 102473, 103792, 1811, 102700, 102181, 20230, 36896, 107430, 75267, 48864, 108710, 105242, 59712, 106613, 112167, 48864, 108710, 105242, 59712, 17792, 103234, 122401, 102473, 124143, 116326, 111344, 102667, 109898, 38093, 7705, 36896, 121606, 122401, 16144, 106767, 102012, 116326, 16325, 101634, 34208, 117406, 105514, 110792, 55999, 102700, 5486, 99959, 117733, 102494, 102860, 61337, 7705, 36896, 101772, 23951, 122401, 17701, 103722, 59712, 44620, 101772, 23951, 107624, 95001, 36761, 16144, 100927, 70626, 102181, 116326, 99959, 117733, 102494, 102860, 61337, 7705, 36896, 125894, 76622, 121216, 68759, 102750, 106901, 115247, 13153, 101544, 105242, 116326, 16325, 35417, 17039, 102181, 119539, 44971, 7705, 36896, 108618, 101275, 48864, 116326, 80805, 38248, 121, 33710, 110022, 40862, 121224, 110792, 55999, 102700, 5486, 101426, 17161, 61337, 17039, 102181, 7705, 36896, 106384, 65575, 66953, 48552, 17701, 103722, 59712, 60868, 25005, 247, 25197, 9458, 106384, 65575, 66953, 48552, 17701, 103722, 59712, 87177, 15024, 40862, 117714, 19967, 25333, 116326, 71689, 5486, 15510, 121224, 7705, 104309, 43240, 9039, 9174, 77219, 104817, 43167, 5232, 121450, 39850, 103857, 71493, 109898, 198, 121980, 63923, 232, 63923, 232, 63923, 232, 63923, 232, 198, 47774, 96452, 61398, 99695, 61398, 105335, 103857, 198, 120824, 99397, 52030, 106528, 105335, 26269, 52591, 70141, 76622, 16144, 108038, 110191, 118372, 104378, 125175, 1811, 114363, 103722, 52030, 106528, 104599, 9458, 104736, 23187, 52030, 106528, 104599, 104309, 5486, 106613, 111186, 119515, 105469, 26854, 114341, 104599, 123717, 29295, 105335, 26269, 52591, 104378, 30512, 60868, 121057, 198, 12, 102362, 103234, 118935, 11883, 111108, 20230, 118013, 70141, 32149, 30297, 113009, 21909, 120824, 99397, 52030, 106528, 19732, 122412, 52030, 106528, 16144, 122074, 109904, 121953, 107118, 21909, 198, 12, 107668, 102802, 74245, 119432, 101513, 38093, 30512, 104908, 54926, 105908, 107693, 21909, 52030, 106528, 16144, 103359, 47523, 15682, 118322, 25580, 112028, 17792, 103378, 111769, 21909, 198, 12, 105864, 103, 99397, 52030, 106528, 40452, 30046, 29295, 89151, 20230, 109134, 125231, 100909, 21909, 105335, 26269, 52591, 122521, 19732, 106624, 64121, 109669, 47884, 112586, 26130, 48634, 54926, 21909, 198, 12, 105864, 103, 99397, 52030, 106528, 118482, 32938, 16144, 105677, 25766, 225, 82533, 30512, 103181, 104699, 21909, 60632, 105576, 109832, 20834, 16144, 113954, 19732, 121606, 109669, 47884, 111331, 125456, 15682, 52030, 106528, 19732, 112361, 120264, 27384, 102769, 21909, 128001, 128000, 567, 110124, 229, 106518, 115376, 75146, 17920, 236, 114341, 103605, 29295, 17039, 106624, 26854, 31431, 79721, 106609, 51, 1937, 46, 79408, 21909, 33334, 35330, 116771, 110706, 113404, 21909, 77181, 115515, 123470, 103087, 106518, 115376, 20230, 107734, 80195, 59739, 125525, 114305, 13177, 59739, 64121, 28713, 38144, 45, 35301, 10646, 71289, 13177, 72, 1951, 7489, 10646, 109853, 17620, 107277, 126172, 47884, 33334, 108044, 58942, 127145, 9174, 120613, 15682, 104655, 102334, 105908, 101182, 107493, 13177, 99849, 19732, 103470, 105994, 30926, 111769, 116499, 54926, 59712, 125173, 123410, 112973, 119467, 16995, 66383, 15682, 100204, 62004, 112028, 105564, 29295, 119870, 64121, 20834, 72342, 126386, 24273, 121254, 107441, 5486, 126330, 123863, 114652, 101182, 125144, 50338, 71289, 103911, 62004, 53283, 76947, 33334, 105898, 16995, 105509, 26854, 103087, 106518, 103768, 11883, 16144, 109673, 108630, 30512, 104257, 121370, 107898, 108044, 58942, 15024, 5486, 110322, 106306, 40526, 103605, 125523, 102332, 39926, 105994, 16556, 47043, 30512, 102647, 104369, 120098, 103296, 30512, 110480, 30512, 104862, 76947, 122984, 109768, 50834, 33541, 9174, 37271, 103296, 87447, 113497, 56051, 114341, 103605, 15682, 37087, 24, 18904, 10110, 49, 18, 13, 21, 9953, 39177, 28542, 23954, 101682, 114341, 30046, 98369, 126328, 13177, 40526, 103605, 125523, 102332, 39926, 103768, 11883, 30512, 27704, 62004, 102204, 79721, 76864, 19732, 5486, 108422, 47884, 108422, 126145, 48154, 89046, 117139, 30512, 16995, 90620, 102532, 61689, 127413, 198, 37271, 18904, 15682, 85701, 103296, 16144, 44915, 55031, 122270, 66953, 78767, 78205, 16073, 122060, 39926, 5486, 105755, 103350, 124299, 15024, 126172, 16995, 104466, 108134, 30512, 109466, 31431, 121423, 79721, 106609, 103087, 106518, 115376, 30512, 89151, 119063, 20230, 78698, 107290, 103768, 11883, 30512, 27704, 107436, 115226, 106046, 103836, 24273, 20230, 109948, 50834, 33541, 104466, 127413, 198, 20713, 59983, 126330, 16144, 22656, 105284, 30512, 53283, 104984, 119467, 47884, 100604, 127413, 198, 9458, 103350, 15682, 125144, 50338, 103792, 32149, 32977, 6447, 126330, 19732, 80172, 101513, 16144, 121953, 198, 9458, 13177, 126330, 15682, 125173, 123410, 66383, 114652, 104655, 119064, 102052, 114667, 107407, 116233, 9174, 25963, 59983, 51385, 64209, 107898, 35330, 30512, 101662, 125655, 124122, 103087, 106518, 103768, 11883, 34617, 32149, 40089, 198, 9458, 17620, 107471, 125456, 16556, 112997, 29220, 30512, 114485, 33503, 17663, 198, 9458, 101544, 23538, 125456, 16556, 106644, 100472, 31431, 106391, 105262, 198, 9458, 31809, 30813, 47884, 91774, 107290, 27384, 112495, 46034, 9039, 42506, 198, 34617, 59983, 125525, 114305, 119279, 22398, 22398, 39850, 26854, 114667, 198, 123532, 37507, 16144, 103087, 106518, 103768, 11883, 110792, 121953, 30512, 53283, 76947, 17905, 124475, 76706, 11883, 103801, 109954, 17245, 104, 198, 52884, 108748, 29220, 107507, 91062, 21909, 117382, 55031, 101182, 47043, 15682, 104405, 11571, 21909, 198, 48864, 103087, 33563, 117126, 5486, 80631, 107, 105623, 226, 34171, 16144, 101182, 33563, 117126, 5486, 121410, 9953, 17620, 55487, 25287, 104774, 102860, 77693, 108422, 33121, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 50338, 108323, 78434, 9174, 46702, 59983, 125525, 114305, 16144, 77693, 108422, 33121, 16144, 121953, 30512, 17599, 117, 104792, 50338, 108323, 198, 9458, 105509, 26854, 101544, 23538, 126330, 16144, 108729, 83799, 13177, 59739, 64121, 28713, 38144, 45, 35301, 111329, 9458, 114305, 23226, 37656, 16556, 33655, 114774, 17663, 47884, 109020, 13177, 108936, 45, 35301, 111329, 9458, 53283, 107462, 104533, 107734, 20230, 80195, 59739, 13177, 115478, 114676, 45, 35301, 111329, 9458, 126053, 47884, 105994, 16556, 59739, 109749, 8107, 35330, 13177, 72, 1951, 7489, 111329, 44597, 59983, 13177, 33334, 35330, 29295, 101662, 59739, 33334, 112686, 52927, 114792, 78699, 76864, 118823, 110322, 106306, 16144, 27704, 62004, 24273, 198, 9458, 13177, 105994, 15682, 67645, 112384, 105647, 91006, 105465, 36827, 110322, 106306, 19732, 50, 8768, 110322, 106306, 77693, 108422, 33121, 16144, 66378, 17599, 112, 198, 60596, 59983, 91763, 100472, 105755, 112825, 110904, 127413, 126330, 22023, 29245, 245, 102647, 102802, 16144, 120098, 46702, 102647, 198, 9458, 76171, 68408, 107840, 19732, 39880, 29220, 103906, 52884, 16144, 121953, 30512, 110408, 30813, 105262, 198, 9458, 102616, 106613, 111587, 37087, 33014, 15682, 13153, 101544, 103792, 102677, 113727, 24273, 198, 9458, 108729, 15682, 108156, 29430, 108149, 107118, 66953, 119930, 198, 9458, 46034, 9039, 42506, 15682, 59614, 101860, 116696, 48552, 198, 14711, 120174, 114341, 54926, 118733, 50928, 110071, 100909, 127413, 198, 9468, 239, 249, 103087, 106518, 115376, 29295, 105994, 105352, 27384, 102769, 118816, 112391, 30369, 50834, 42891, 126929, 115717, 33541, 198, 9468, 239, 249, 37271, 103296, 126330, 29295, 119467, 102518, 114667, 29295, 17620, 107277, 33541, 198, 9468, 239, 249, 126330, 16144, 25197, 126989, 29295, 124500, 76947, 96356, 60358, 20230, 112391, 110071, 101200, 115717, 33541, 198, 9468, 239, 249, 111108, 21105, 251, 30297, 106046, 106358, 102208, 114305, 16144, 121953, 29295, 17620, 107277, 33541, 198, 9468, 239, 249, 105994, 15682, 67645, 33121, 29295, 40862, 103836, 104865, 25197, 126989, 108608, 101200, 115717, 33541, 198, 9468, 239, 249, 118789, 109904, 27704, 62004, 24273, 29295, 17620, 126469, 123120, 20230, 60634, 72342, 33541, 198, 9468, 239, 249, 110322, 106306, 40526, 103605, 125523, 47884, 102677, 102040, 65575, 33710, 29295, 103167, 115737, 31431, 5486, 85707, 62004, 112028, 105564, 29295, 119870, 64121, 20834, 72342, 33541, 198, 77693, 19732, 105509, 26854, 103087, 106518, 103768, 11883, 41007, 102083, 114598, 5486, 103768, 11883, 58426, 102944, 102052, 27384, 26854, 31431, 31809, 26854, 31431, 59614, 101860, 112997, 29220, 29295, 48706, 78434, 9174, 13177, 99849, 32977, 21105, 103, 118145, 125173, 30512, 21105, 103, 16995, 66383, 78698, 105262, 17792, 32977, 110371, 61826, 13177, 99849, 32977, 21105, 103, 102518, 55031, 125173, 126198, 66383, 91763, 30297, 32149, 110241, 33121, 107515, 9174, 112371, 104328, 110901, 16144, 110018, 27704, 107436, 103424, 102518, 66383, 91763, 105262, 24273, 29295, 115079, 58942, 33541, 104466, 127413, 198, 14711, 220, 114387, 24273, 107898, 22398, 22398, 39850, 38641, 40620, 198, 93273, 245, 33334, 35330, 30512, 115079, 71289, 39926, 102756, 29220, 102756, 29220, 56051, 16995, 24273, 198, 93273, 245, 17039, 102800, 120266, 109933, 111999, 76428, 56051, 16995, 24273, 198, 93273, 245, 126053, 16995, 41007, 16556, 33334, 35330, 30512, 115079, 71289, 56051, 16995, 24273, 198, 93273, 245, 105509, 26854, 41007, 16556, 33334, 35330, 30512, 115079, 71289, 56051, 16995, 24273, 198, 93273, 245, 120987, 16144, 82420, 55723, 20230, 103350, 102321, 34171, 114792, 28713, 72342, 106956, 24273, 198, 51, 1937, 46, 79408, 15682, 47043, 102647, 102802, 71289, 109198, 17701, 46034, 106307, 50834, 32977, 37087, 38144, 114363, 103722, 46729, 20230, 49988, 72342, 106956, 102677, 24273, 112197, 107734, 102052, 108618, 104611, 106272, 121697, 107515, 9174, 53900, 101544, 23538, 109904, 103087, 106518, 103768, 11883, 30512, 25580, 29172, 103306, 107991, 103846, 5486, 114225, 107898, 35330, 30512, 115079, 71289, 56051, 16995, 102677, 24273, 112197, 107734, 105352, 80195, 59739, 105908, 103082, 107515, 105879, 48154, 35287, 105005, 72315, 105823, 9174, 28038, 87447, 113497, 9080, 115597, 28038, 110284, 41007, 115597, 110191, 118372, 123141, 26728, 30512, 107740, 78434, 9174, 103672, 37823, 72369, 103202, 115991, 33541, 105879, 5486, 108968, 126867, 31809, 105677, 107063, 102, 32977, 30775, 253, 64121, 59739, 59739, 39880, 67075, 103927, 103202, 26854, 25132, 108, 116310, 95221, 16556, 103130, 107436, 74843, 31431, 33541, 9174, 108968, 16325, 19732, 114626, 20230, 105284, 99397, 107507, 91062, 32977, 102332, 76622, 33541, 105879, 48154, 105284, 99397, 15682, 111764, 116446, 72315, 101832, 106609, 114341, 103605, 101682, 114341, 74482, 15682, 39880, 38248, 104, 25197, 52884, 30512, 111419, 117232, 48154, 103984, 36735, 112, 16995, 90620, 76622, 33541, 9174, 50520, 111, 102800, 109544, 32977, 24317, 16556, 33334, 37705, 31431, 78434, 105879, 123927, 104196, 112586, 48154, 76706, 11883, 72315, 17245, 104, 198, 28038, 32938, 11883, 82973, 115597, 17, 82973, 966, 17620, 10110, 105284, 107750, 106608, 103899, 16144, 44915, 16556, 115251, 90962, 112164, 11972, 54926, 125396, 57903, 23954, 28038, 110284, 106382, 115597, 85188, 104526, 22, 11, 931, 35757, 198, 28038, 46456, 124237, 41007, 115597, 106644, 30297, 114867, 115191, 40526, 103605, 111363, 123927, 121423, 32149, 72305, 16144, 25963, 121640, 55031, 33334, 102647, 102802, 72315, 9174, 28038, 102782, 121423, 89753, 33121, 115597, 122481, 17297, 34048, 16144, 44620, 114341, 103605, 30512, 102782, 15024, 104526, 104004, 36761, 30512, 121507, 112990, 17701, 48634, 55723, 28190, 29295, 87447, 50834, 33541, 9174, 33334, 120613, 5486, 39850, 64178, 39880, 45923, 108744, 30512, 48154, 17701, 48634, 16144, 30297, 58942, 11144, 103087, 106518, 115376, 114341, 103605, 11199, 126130, 102647, 102802, 72315, 9174, 46456, 124237, 41007, 121507, 56051, 30297, 58942, 16556, 37705, 22023, 109768, 90620, 50834, 33541, 19732, 5486, 48154, 17701, 48634, 16995, 90620, 102334, 39880, 45923, 108744, 8676, 249, 20230, 46456, 124237, 61826, 16144, 108134, 29295, 109948, 50834, 33541, 9174, 17701, 35330, 114140, 123090, 40265, 9080, 107740, 54926, 57, 2689, 127881, 3222, 126130, 53283, 117063, 102334, 78434, 9174, 28038, 107391, 16073, 64810, 33710, 89154, 37823, 120404, 115597, 33334, 46456, 124237, 16995, 15682, 109544, 37705, 47000, 16144, 116690, 55031, 114341, 103605, 40265, 9080, 18, 9080, 25580, 103296, 107898, 124730, 102334, 78434, 9174, 126738, 101682, 114341, 42506, 126130, 46456, 124237, 104712, 90620, 102334, 123470, 107391, 16073, 64810, 33710, 15682, 105005, 76947, 108086, 107515, 9174, 33671, 18904, 16144, 42016, 44915, 114341, 103605, 111363, 9080, 39607, 122489, 32149, 108565, 55723, 103984, 36735, 112, 126130, 124730, 126020, 33541, 9174, 48, 5232, 45829, 67645, 32977, 71289, 109657, 108056, 29295, 107991, 117501, 16556, 101682, 114341, 120837, 27384, 121313, 112130, 95532, 32, 5232, 109606, 124897, 127413, 22398, 102803, 45923, 16325, 15682, 108729, 119263, 84477, 20230, 109768, 90620, 50834, 33541, 15024, 5486, 105284, 99397, 107507, 91062, 32977, 95221, 108176, 126513, 119263, 84477, 16144, 110674, 109933, 67075, 16556, 48154, 105284, 99397, 16995, 90620, 76622, 33541, 9174, 48, 5232, 124131, 103927, 55031, 72661, 110284, 125545, 32149, 48, 5232, 44915, 107294, 16995, 100481, 105784, 32149, 127408, 38641, 198, 32, 5232, 22398, 102803, 45923, 30512, 107740, 54926, 103846, 4977, 29295, 103192, 17129, 102800, 119627, 5486, 124131, 84477, 108526, 16073, 71289, 47307, 52884, 123167, 55031, 32977, 48154, 101682, 114341, 16995, 90620, 76622, 33541, 109807, 104983, 102052, 55723, 28190, 30512, 109203, 70141, 50834, 116446, 48154, 103984, 36735, 112, 72315, 105823, 9174, 48, 5232, 44915, 107294, 16995, 100481, 105784, 32149, 127408, 38641, 198, 32, 5232, 15682, 100204, 107436, 104655, 47884, 112690, 71289, 44915, 32977, 57903, 111108, 106624, 112391, 30369, 115789, 101182 ]
[ 32149, 110241, 33121, 107515, 1811, 17620, 107277, 20230, 47884, 102518, 110229, 15682, 105284, 99397, 107507, 91062, 16556, 88356, 27479, 33334, 108044, 58942, 125545, 15024, 5486, 114341, 103605, 74482, 102052, 24317, 109544, 19732, 39880, 38248, 104, 25197, 52884, 16556, 109095, 108710, 108608, 105879, 100204, 121710, 31431, 102936, 19732, 15024, 104526, 104004, 105908, 125545, 57980, 6447, 128001, 128000, 567, 107443, 253, 35330, 15682, 103082, 104984, 56051, 47884, 100604, 110792, 113727, 198, 33334, 35330, 107118, 5486, 112832, 32977, 29295, 111654, 21105, 234, 30369, 102944, 38641, 1811, 45631, 107943, 102944, 31634, 110104, 57980, 10646, 104309, 19732, 112844, 116537, 5486, 36149, 228, 67645, 91774, 40265, 115926, 107515, 9174, 53900, 5486, 112624, 102780, 108608, 108680, 114392, 107898, 35330, 114792, 103836, 116537, 5486, 48154, 47884, 83747, 9039, 38641, 1811, 220, 59739, 109709, 27384, 43240, 9039, 124911, 104680, 15682, 5486, 102780, 31431, 103470, 38144, 110482, 107462, 104533, 78698, 107290, 56965, 121953, 100604, 123253, 9174, 80673, 108948, 35330, 15682, 83747, 106624, 110706, 102780, 31431, 103470, 111243, 107792, 103664, 16556, 99849, 19732, 107188, 30369, 107803, 32977, 127181, 105879, 5486, 114715, 102780, 31431, 123733, 76947, 114604, 55031, 102083, 76947, 5486, 92776, 5486, 108703, 31431, 30369, 116537, 83747, 100604, 123253, 9174, 59739, 109709, 36149, 228, 67645, 124911, 104680, 15682, 36896, 198, 108703, 35330, 15682, 21105, 103, 119178, 104087, 56051, 109335, 100604, 66383, 113727, 100934, 16144, 38641, 9174, 567, 106369, 35330, 30512, 24615, 120, 104699, 113009, 108703, 125639, 123410, 198, 110229, 29295, 5486, 110241, 32977, 13177, 114392, 126738, 35330, 30813, 58942, 30591, 104984, 118482, 30512, 26955, 94, 27384, 108608, 66383, 32149, 36896, 118326, 39926, 105994, 16556, 33122, 105525, 29295, 108608, 101200, 101983, 104028, 66383, 16995, 100472, 107803, 102052, 5486, 114284, 102769, 76947, 33334, 35330, 30512, 108703, 31431, 38144, 80988, 239, 105714, 30369, 17792, 32977, 20834, 38144, 109749, 16144, 38641, 9174, 58426, 104466, 39926, 33334, 35330, 30512, 108703, 31431, 30369, 104468, 5486, 17792, 21990, 122692, 104987, 62004, 16144, 108703, 35330, 19732, 78244, 58942, 33541, 1811, 116056, 105933, 104987, 62004, 16144, 110783, 110095, 103195, 16144, 105110, 5486, 108703, 31431, 28713, 33334, 35330, 15682, 19361, 105576, 16556, 37689, 104577, 107407, 19732, 78244, 58942, 33541, 9174, 77693, 113115, 39926, 13177, 109739, 102802, 103188, 105557, 38144, 104654, 106382, 29295, 102780, 31431, 123733, 100472, 66383, 32149, 36896, 125559, 120523, 120650, 47884, 105879, 44971, 106901, 11972, 106382, 11883, 29295, 125821, 111654, 102800, 66383, 95604, 105933, 114667, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 104468, 5486, 37087, 61994, 104987, 62004, 77181, 124897, 1811, 126333, 103470, 107173, 5486, 107943, 33334, 35330, 15682, 89151, 16144, 115552, 16556, 19361, 105576, 117084, 124089, 109335, 43568, 117201, 109954, 1811, 220, 53900, 5486, 37689, 104577, 107407, 107173, 120267, 111108, 16995, 19732, 113727, 75694, 30369, 30512, 50928, 107515, 9174, 19732, 112649, 47884, 120953, 72342, 198, 33334, 35330, 30512, 108703, 31431, 30369, 105110, 5486, 19361, 105576, 16556, 37689, 104577, 16144, 101182, 108703, 31431, 24273, 29295, 103424, 117201, 109954, 9174, 58426, 105933, 104987, 62004, 16144, 108703, 35330, 103195, 105110, 5486, 50834, 104043, 115364, 17792, 21990, 16144, 125396, 30512, 119515, 111201, 108285, 102639, 38144, 124089, 118733, 109954, 9174, 28713, 19732, 58942, 118482, 20230, 21388, 113529, 120837, 5486, 104987, 62004, 16144, 108703, 35330, 105110, 81219, 13177, 21388, 113529, 15682, 19653, 16144, 24186, 66383, 26854, 76947, 124089, 20230, 121953, 124897, 1811, 128001, 128000, 567, 1229, 55031, 32, 198, 102433, 16144, 31809, 16325, 45736, 16144, 104575, 77181, 5486, 105408, 29295, 57933, 71634, 126694, 31431, 108048, 30512, 113925, 54926, 107141, 101275, 83799, 107328, 29295, 127181, 38641, 9174, 48, 15682, 14924, 10110, 105284, 99397, 23954, 32, 15682, 2127, 805, 10110, 103899, 58942, 23954, 19732, 112990, 198, 105408, 16144, 48, 113115, 39926, 21990, 107263, 29295, 32, 30512, 121406, 9174, 102677, 100909, 38641, 9174, 105408, 32977, 113925, 16144, 32, 30512, 103911, 108867, 15024, 106116, 107420, 64810, 22398, 30512, 96356, 107294, 105784, 113009, 19732, 48, 30512, 46239, 78434, 9174, 80673, 110371, 107420, 64810, 22398, 122416, 101983, 104028, 19732, 198, 58318, 58942, 109115, 48, 55031, 32, 30512, 106839, 50834, 121406, 100909, 67016, 103082, 103470, 109020, 9174, 48, 55031, 32, 54926, 23039, 101399, 116771, 29295, 80988, 239, 105714, 30369, 100909, 118816, 126845, 112854, 30512, 125119, 39926, 114732, 125396, 107407, 9174, 51330, 53953, 30926, 16144, 109606, 15682, 5486, 15836, 29295, 85701, 55031, 34226, 20230, 103130, 33208, 56051, 39177, 198, 112832, 32149, 29295, 58318, 107800, 48, 30512, 5486, 15836, 120332, 29295, 17792, 105755, 103899, 58942, 30512, 106839, 50834, 121406, 118881, 29295, 105184, 103350, 116787, 103856, 47884, 109020, 102677, 125396, 15682, 107188, 31431, 126574, 38641, 9174, 59739, 109709, 5486, 109606, 30512, 46239, 103646, 39177, 5486, 103188, 86436, 16144, 119526, 55031, 103899, 58942, 30512, 106839, 50834, 121406, 109335, 15836, 16144, 118881, 29295, 104622, 25129, 38641, 9174, 58426, 103846, 48, 55031, 32, 103378, 16144, 104378, 77181, 115552, 119703, 106046, 61689, 9174, 26854, 105879, 51330, 77219, 77181, 5486, 32, 55031, 48, 30512, 121406, 106556, 30512, 101662, 38144, 48634, 116825, 105784, 124122, 41007, 30512, 102181, 16995, 100481, 50834, 33541, 9174, 567, 362, 55031, 48, 198, 32, 55031, 48, 30512, 121406, 107118, 5486, 112599, 74245, 28190, 56051, 53953, 30926, 55031, 5486, 115143, 109020, 23226, 106594, 30512, 30832, 64467, 39926, 5486, 109431, 102769, 26854, 48, 30512, 121406, 102677, 100909, 38641, 9174, 103188, 86436, 20230, 112832, 32149, 29295, 50338, 104662, 56051, 109606, 127303, 104984, 198, 37271, 16144, 113146, 102052, 13177, 111800, 52084, 10646, 117824, 116285, 5486, 114225, 20230, 103899, 58942, 125334, 33541, 9174, 13177, 111800, 52084, 10646, 23039, 101399, 15682, 109606, 55031, 50338, 104662, 41007, 30512, 106767, 17663, 19967, 101275, 26854, 105879, 5486, 124042, 9554, 102052, 109606, 30512, 80172, 102639, 32149, 105784, 121142, 15836, 29295, 50338, 104662, 41007, 30512, 104196, 103899, 39926, 124089, 110229, 103296, 88367, 123253, 9174, 80673, 5486, 17792, 102052, 125641, 115991, 111654, 32977, 57903, 33541, 9174, 13177, 125821, 114652, 119607, 5486, 34226, 20230, 126521, 109335, 113461, 103950, 111329, 104309, 112185, 112832, 32977, 23039, 107462, 100604, 5486, 48, 29295, 106222, 107809, 71289, 109683, 107809, 20230, 120379, 76947, 61689, 9174, 112185, 112832, 32977, 116499, 59739, 16995, 126386, 105879, 30591, 104984, 108048, 15682, 102321, 47523, 32, 55031, 115143, 109020, 48, 30512, 106839, 50834, 118158, 100909, 115717, 33541, 9174, 51330, 104466, 102181, 47884, 104856, 107188, 32149, 111108, 102800, 120266, 112391, 33541, 29295, 198, 111108, 106624, 78698, 105262, 16144, 126194, 198, 27452, 116285, 198, 115412, 115412, 98369, 125030, 76947, 67645, 103171, 118192, 108270, 52414, 29295, 104940, 81219, 104028, 108995, 198, 108895, 95604, 106592, 78698, 105262, 123017, 32, 55031, 48, 38641, 9174, 105755, 17792, 20230, 108385, 31431, 114001, 100472, 39177, 5486, 105994, 29295, 39926, 122765, 110071, 109335, 113461, 103950, 19732, 78698, 105262, 23039, 101399, 9174, 85701, 102052, 103188, 86436, 16144, 106596, 103378, 77181, 37656, 102800, 103899, 58942, 15682, 20834, 107515, 9174, 37271, 112185, 100604, 95001, 112603, 126694, 31431, 121406, 23039, 101399, 10110, 109832, 67178, 7705, 29295, 32, 55031, 48, 16144, 66378, 17599, 112, 38641, 9174, 32, 55031, 48, 30512, 104195, 44416, 112535, 73686, 42891, 105714, 31431, 121406, 105284, 99397, 9174, 9458, 118823, 17905, 20230, 100604, 107707, 103846, 108176, 30926, 71289, 102944, 15682, 95532, 9458, 115412, 115412, 19732, 115412, 115412, 16144, 115856, 76622, 114146, 16556, 105755, 103424, 47884, 109020, 198, 9458, 26854, 112371, 58426, 110018, 20230, 102131, 91763, 100472, 104865, 198, 9458, 109832, 37689, 49792, 101908, 198, 9458, 103984, 102212, 30512, 108285, 102639, 30369, 113009, 99849, 117824, 30297, 125231, 32149, 198, 9458, 43511, 112919, 37689, 91774, 30512, 104655, 102334, 17905, 113245, 115364, 37689, 91774, 198, 32, 55031, 48, 30512, 121406, 23039, 101399, 15682, 5486, 103899, 58942, 30512, 43511, 20230, 106767, 120837, 91774, 59739, 124403, 100909, 122416, 38641, 9174, 64121, 103171, 29295, 108895, 109860, 41832, 107, 198, 64121, 103171, 19732, 108010, 30297, 55031, 38798, 243, 198, 120950, 42016, 104873, 48634, 16144, 104195, 16995, 102433, 114754, 66378, 20230, 107202, 46034, 117408, 17620, 102212, 26854, 104865, 110241, 33121, 107515, 9174, 13177, 114284, 10646, 71289, 13177, 125641, 10646, 5486, 103214, 64121, 114146, 121453, 28713, 26854, 103984, 28542, 111476, 67645, 33121, 32977, 5486, 103188, 86436, 16144, 106596, 117758, 112366, 112603, 30512, 106839, 50834, 121406, 103378, 16144, 15836, 102052, 118765, 100909, 38641, 9174, 108895, 125338, 113727, 104533, 5486, 15836, 19732, 114516, 16144, 104364, 29295, 31958, 105184, 20230, 78183, 32149, 104533, 91763, 61689, 9174, 567, 1229, 55031, 32, 108608, 16144, 105110, 42634, 103672, 67075, 72661, 15836, 72661, 105321, 72661, 33655, 30297, 125231, 198, 112832, 32149, 29295, 50338, 104662, 56051, 100909, 16144, 101182, 48, 16144, 107420, 64810, 22398, 16556, 101128, 102, 104004, 104468, 5486, 90620, 16144, 53508, 231, 104195, 127242, 16144, 125396, 115991, 5486, 32, 103296, 16144, 125456, 30512, 103911, 108867, 16556, 105714, 31431, 116348, 117063, 111243, 82973, 29295, 32977, 100472, 16995, 100604, 38641, 9174, 126120, 96455, 33208, 108608, 105879, 30591, 104984, 112366, 126120, 96455, 30512, 30832, 64467, 15024, 5486, 112185, 114754, 102404, 91774, 103082, 126386, 5486, 17792, 104770, 85707, 16144, 106613, 111186, 123410, 113009, 125456, 124905, 16995, 17129, 109954, 9174, 111199, 117384, 103351, 113146, 198, 58426, 39177, 5486, 42634, 103672, 67075, 102052, 124131, 103927, 15682, 19967, 33121, 107515, 59459, 27929, 32977, 27929, 32977, 104736, 109375, 119703, 23954, 17039, 28713, 26854, 5486, 102404, 91774, 5486, 105755, 101523, 227, 48634, 109904, 102494, 101335, 104309, 5486, 103188, 86436, 16144, 106596, 55031, 77181, 106839, 50834, 20834, 72342, 100604, 5486, 101067, 66201, 48634, 19732, 109832, 67178, 123457, 101662, 38144, 17129, 109954, 9174, 567, 126333, 15024, 72661, 115389, 26854, 109335, 16995, 43514, 103856, 47884, 42634, 103672, 67075, 20230, 49988, 122101, 198, 50834, 59739, 16995, 30358, 8239, 112, 122502, 5486, 109972, 106529, 16144, 119448, 16995, 117876, 15682, 116898, 43514, 103856, 47884, 42634, 103672, 67075, 20230, 56051, 16995, 38641, 123794, 9174, 59739, 109709, 5486, 115389, 16995, 26854, 106592, 50338, 104662, 54926, 113009, 112832, 32977, 125001, 43514, 103856, 47884, 42634, 103672, 67075, 20230, 49988, 72342, 106956, 119150, 106046, 61689, 9174, 80673, 13177, 85701, 15682, 112185, 42634, 103672, 67075, 102052, 118765, 10646, 51330, 105933, 105908, 43240, 117714, 32977, 30926, 103350, 38641, 9174, 85701, 120577, 53953, 30926, 15682, 17620, 50338, 15024, 49988, 72342, 110071, 100909, 49988, 72342, 102204, 100604, 120266, 17620, 76622, 103130, 104127, 49988, 72342, 110071, 109335, 67645, 124592, 25827, 42634, 103672, 67075, 20230, 49988, 122101, 106592, 33334, 125683, 62004, 78434, 9174, 126407, 104127, 118765, 117876, 15682, 5486, 112832, 32149, 29295, 42634, 103672, 67075, 20230, 31640, 11883, 109768, 101860, 33121, 112832, 32149, 29295, 50338, 104662, 78434, 9174, 80673, 5486, 126407, 109315, 100909, 80539, 5486, 34226, 20230, 107707, 103846, 108176, 5486, 125098, 99750, 71289, 125641, 107407, 109335, 123029, 42634, 103672, 67075, 102052, 103082, 107515, 9174, 13177, 99750, 91875, 30512, 58318, 58942, 110071, 108680, 107969, 16325, 15024, 105465, 102800, 106046, 105262, 106592, 103792, 32149, 111329, 51330, 99750, 112854, 127105, 29295, 85701, 117758, 117876, 16144, 57903, 24273, 101983, 104533, 91763, 61689, 9174, 567, 113545, 108518, 71289, 114567, 16144, 48, 55031, 32, 111848, 16325, 109177, 198, 127091, 30512, 105994, 16556, 50338, 104662, 56051, 39177, 106116, 110018, 16144, 109834, 28194, 106, 15682, 5486, 17792, 104770, 29295, 119869, 20230, 80699, 116825, 107674, 39177, 5486, 101721, 95221, 116825, 107674, 39177, 5486, 20230, 116298, 114737, 78434, 9174, 51330, 99750, 112854, 15682, 121568, 103306, 53283, 110104, 106592, 5486, 102404, 91774, 56051, 110018, 105352, 112361, 105908, 72718, 50834, 33541, 9174, 58426, 103846, 5486, 58318, 58942, 110071, 48, 55031, 32, 16144, 125456, 20230, 102057, 249, 102204, 104533, 198, 48, 5486, 48, 5486, 48, 5486, 48, 19732, 48, 30512, 20834, 103792, 107707, 84264, 250, 115717, 5486, 105994, 15682, 119318, 116310, 123727, 32, 30512, 30591, 28713, 32149, 32977, 17039, 28713, 20230, 102404, 91774, 56051, 116421, 104466, 126845, 112854, 78434, 9174, 113293, 30926, 115173, 68759, 32977, 5486, 112832, 116421, 57207, 96452, 37823, 90962, 16556, 19967, 125398, 105352, 97518, 78183, 121140, 5486, 37026, 33503, 29295, 50338, 104662, 56051, 116421, 104466, 126845, 112854, 15024, 45923, 113390, 101198, 16073, 125334, 38144, 109834, 28194, 106, 121894, 115717, 33541, 9174, 58426, 109054, 29220, 33710, 101983, 104533, 5486, 53900, 17039, 28713, 26854, 48, 30512, 32018, 62004, 15682, 100204, 62004, 58426, 109054, 29220, 33710, 15682, 82533, 109709, 107515, 9174, 48915, 9554, 110456, 106266, 52118, 50338, 104662, 52118, 48915, 9554, 110456, 106266, 52118, 50338, 104662, 90578, 16144, 43568, 48249, 33710, 107610, 38641, 9174, 37026, 33503, 108134, 30512, 102647, 102802, 108167, 120650, 47884, 17792, 116749, 15682, 51330, 33710, 107610, 102052, 16144, 123606, 107515, 9174, 80539, 58426, 116537, 17039, 28713, 26854, 48, 30512, 102404, 22023, 54926, 1981, 49838, 198, 567, 220, 67645, 103171, 117876, 72661, 48622, 19732, 93173, 16144, 114754, 107991, 198, 9458, 117876, 29295, 17701, 76947, 50834, 38144, 77693, 103378, 30512, 50338, 104662, 54926, 17792, 198, 9458, 117876, 29295, 17701, 76947, 50834, 38144, 50338, 104662, 54926, 41007, 30512, 49792, 101908, 54926, 17792, 198, 9458, 117876, 104088, 59739, 107441, 50338, 104662, 41007, 30512, 46239, 108608, 17792, 198, 9458, 117876, 101983, 107462, 100604, 109606, 104088, 59739, 107441, 117876, 126694, 30369, 17792, 198, 9458, 41007, 29295, 78183, 124403, 53953, 30926, 16144, 103621, 64178, 30512, 23187, 104577, 15024, 107420, 64810, 22398, 30512, 32018, 107436, 43240, 119064, 17792, 20230, 113173, 30512, 58318, 58942, 102149, 117063, 30369, 17792, 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 ]
[ 32149, 110241, 33121, 107515, 1811, 17620, 107277, 20230, 47884, 102518, 110229, 15682, 105284, 99397, 107507, 91062, 16556, 88356, 27479, 33334, 108044, 58942, 125545, 15024, 5486, 114341, 103605, 74482, 102052, 24317, 109544, 19732, 39880, 38248, 104, 25197, 52884, 16556, 109095, 108710, 108608, 105879, 100204, 121710, 31431, 102936, 19732, 15024, 104526, 104004, 105908, 125545, 57980, 6447, 128001, 128000, 567, 107443, 253, 35330, 15682, 103082, 104984, 56051, 47884, 100604, 110792, 113727, 198, 33334, 35330, 107118, 5486, 112832, 32977, 29295, 111654, 21105, 234, 30369, 102944, 38641, 1811, 45631, 107943, 102944, 31634, 110104, 57980, 10646, 104309, 19732, 112844, 116537, 5486, 36149, 228, 67645, 91774, 40265, 115926, 107515, 9174, 53900, 5486, 112624, 102780, 108608, 108680, 114392, 107898, 35330, 114792, 103836, 116537, 5486, 48154, 47884, 83747, 9039, 38641, 1811, 220, 59739, 109709, 27384, 43240, 9039, 124911, 104680, 15682, 5486, 102780, 31431, 103470, 38144, 110482, 107462, 104533, 78698, 107290, 56965, 121953, 100604, 123253, 9174, 80673, 108948, 35330, 15682, 83747, 106624, 110706, 102780, 31431, 103470, 111243, 107792, 103664, 16556, 99849, 19732, 107188, 30369, 107803, 32977, 127181, 105879, 5486, 114715, 102780, 31431, 123733, 76947, 114604, 55031, 102083, 76947, 5486, 92776, 5486, 108703, 31431, 30369, 116537, 83747, 100604, 123253, 9174, 59739, 109709, 36149, 228, 67645, 124911, 104680, 15682, 36896, 198, 108703, 35330, 15682, 21105, 103, 119178, 104087, 56051, 109335, 100604, 66383, 113727, 100934, 16144, 38641, 9174, 567, 106369, 35330, 30512, 24615, 120, 104699, 113009, 108703, 125639, 123410, 198, 110229, 29295, 5486, 110241, 32977, 13177, 114392, 126738, 35330, 30813, 58942, 30591, 104984, 118482, 30512, 26955, 94, 27384, 108608, 66383, 32149, 36896, 118326, 39926, 105994, 16556, 33122, 105525, 29295, 108608, 101200, 101983, 104028, 66383, 16995, 100472, 107803, 102052, 5486, 114284, 102769, 76947, 33334, 35330, 30512, 108703, 31431, 38144, 80988, 239, 105714, 30369, 17792, 32977, 20834, 38144, 109749, 16144, 38641, 9174, 58426, 104466, 39926, 33334, 35330, 30512, 108703, 31431, 30369, 104468, 5486, 17792, 21990, 122692, 104987, 62004, 16144, 108703, 35330, 19732, 78244, 58942, 33541, 1811, 116056, 105933, 104987, 62004, 16144, 110783, 110095, 103195, 16144, 105110, 5486, 108703, 31431, 28713, 33334, 35330, 15682, 19361, 105576, 16556, 37689, 104577, 107407, 19732, 78244, 58942, 33541, 9174, 77693, 113115, 39926, 13177, 109739, 102802, 103188, 105557, 38144, 104654, 106382, 29295, 102780, 31431, 123733, 100472, 66383, 32149, 36896, 125559, 120523, 120650, 47884, 105879, 44971, 106901, 11972, 106382, 11883, 29295, 125821, 111654, 102800, 66383, 95604, 105933, 114667, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 104468, 5486, 37087, 61994, 104987, 62004, 77181, 124897, 1811, 126333, 103470, 107173, 5486, 107943, 33334, 35330, 15682, 89151, 16144, 115552, 16556, 19361, 105576, 117084, 124089, 109335, 43568, 117201, 109954, 1811, 220, 53900, 5486, 37689, 104577, 107407, 107173, 120267, 111108, 16995, 19732, 113727, 75694, 30369, 30512, 50928, 107515, 9174, 19732, 112649, 47884, 120953, 72342, 198, 33334, 35330, 30512, 108703, 31431, 30369, 105110, 5486, 19361, 105576, 16556, 37689, 104577, 16144, 101182, 108703, 31431, 24273, 29295, 103424, 117201, 109954, 9174, 58426, 105933, 104987, 62004, 16144, 108703, 35330, 103195, 105110, 5486, 50834, 104043, 115364, 17792, 21990, 16144, 125396, 30512, 119515, 111201, 108285, 102639, 38144, 124089, 118733, 109954, 9174, 28713, 19732, 58942, 118482, 20230, 21388, 113529, 120837, 5486, 104987, 62004, 16144, 108703, 35330, 105110, 81219, 13177, 21388, 113529, 15682, 19653, 16144, 24186, 66383, 26854, 76947, 124089, 20230, 121953, 124897, 1811, 128001, 128000, 567, 1229, 55031, 32, 198, 102433, 16144, 31809, 16325, 45736, 16144, 104575, 77181, 5486, 105408, 29295, 57933, 71634, 126694, 31431, 108048, 30512, 113925, 54926, 107141, 101275, 83799, 107328, 29295, 127181, 38641, 9174, 48, 15682, 14924, 10110, 105284, 99397, 23954, 32, 15682, 2127, 805, 10110, 103899, 58942, 23954, 19732, 112990, 198, 105408, 16144, 48, 113115, 39926, 21990, 107263, 29295, 32, 30512, 121406, 9174, 102677, 100909, 38641, 9174, 105408, 32977, 113925, 16144, 32, 30512, 103911, 108867, 15024, 106116, 107420, 64810, 22398, 30512, 96356, 107294, 105784, 113009, 19732, 48, 30512, 46239, 78434, 9174, 80673, 110371, 107420, 64810, 22398, 122416, 101983, 104028, 19732, 198, 58318, 58942, 109115, 48, 55031, 32, 30512, 106839, 50834, 121406, 100909, 67016, 103082, 103470, 109020, 9174, 48, 55031, 32, 54926, 23039, 101399, 116771, 29295, 80988, 239, 105714, 30369, 100909, 118816, 126845, 112854, 30512, 125119, 39926, 114732, 125396, 107407, 9174, 51330, 53953, 30926, 16144, 109606, 15682, 5486, 15836, 29295, 85701, 55031, 34226, 20230, 103130, 33208, 56051, 39177, 198, 112832, 32149, 29295, 58318, 107800, 48, 30512, 5486, 15836, 120332, 29295, 17792, 105755, 103899, 58942, 30512, 106839, 50834, 121406, 118881, 29295, 105184, 103350, 116787, 103856, 47884, 109020, 102677, 125396, 15682, 107188, 31431, 126574, 38641, 9174, 59739, 109709, 5486, 109606, 30512, 46239, 103646, 39177, 5486, 103188, 86436, 16144, 119526, 55031, 103899, 58942, 30512, 106839, 50834, 121406, 109335, 15836, 16144, 118881, 29295, 104622, 25129, 38641, 9174, 58426, 103846, 48, 55031, 32, 103378, 16144, 104378, 77181, 115552, 119703, 106046, 61689, 9174, 26854, 105879, 51330, 77219, 77181, 5486, 32, 55031, 48, 30512, 121406, 106556, 30512, 101662, 38144, 48634, 116825, 105784, 124122, 41007, 30512, 102181, 16995, 100481, 50834, 33541, 9174, 567, 362, 55031, 48, 198, 32, 55031, 48, 30512, 121406, 107118, 5486, 112599, 74245, 28190, 56051, 53953, 30926, 55031, 5486, 115143, 109020, 23226, 106594, 30512, 30832, 64467, 39926, 5486, 109431, 102769, 26854, 48, 30512, 121406, 102677, 100909, 38641, 9174, 103188, 86436, 20230, 112832, 32149, 29295, 50338, 104662, 56051, 109606, 127303, 104984, 198, 37271, 16144, 113146, 102052, 13177, 111800, 52084, 10646, 117824, 116285, 5486, 114225, 20230, 103899, 58942, 125334, 33541, 9174, 13177, 111800, 52084, 10646, 23039, 101399, 15682, 109606, 55031, 50338, 104662, 41007, 30512, 106767, 17663, 19967, 101275, 26854, 105879, 5486, 124042, 9554, 102052, 109606, 30512, 80172, 102639, 32149, 105784, 121142, 15836, 29295, 50338, 104662, 41007, 30512, 104196, 103899, 39926, 124089, 110229, 103296, 88367, 123253, 9174, 80673, 5486, 17792, 102052, 125641, 115991, 111654, 32977, 57903, 33541, 9174, 13177, 125821, 114652, 119607, 5486, 34226, 20230, 126521, 109335, 113461, 103950, 111329, 104309, 112185, 112832, 32977, 23039, 107462, 100604, 5486, 48, 29295, 106222, 107809, 71289, 109683, 107809, 20230, 120379, 76947, 61689, 9174, 112185, 112832, 32977, 116499, 59739, 16995, 126386, 105879, 30591, 104984, 108048, 15682, 102321, 47523, 32, 55031, 115143, 109020, 48, 30512, 106839, 50834, 118158, 100909, 115717, 33541, 9174, 51330, 104466, 102181, 47884, 104856, 107188, 32149, 111108, 102800, 120266, 112391, 33541, 29295, 198, 111108, 106624, 78698, 105262, 16144, 126194, 198, 27452, 116285, 198, 115412, 115412, 98369, 125030, 76947, 67645, 103171, 118192, 108270, 52414, 29295, 104940, 81219, 104028, 108995, 198, 108895, 95604, 106592, 78698, 105262, 123017, 32, 55031, 48, 38641, 9174, 105755, 17792, 20230, 108385, 31431, 114001, 100472, 39177, 5486, 105994, 29295, 39926, 122765, 110071, 109335, 113461, 103950, 19732, 78698, 105262, 23039, 101399, 9174, 85701, 102052, 103188, 86436, 16144, 106596, 103378, 77181, 37656, 102800, 103899, 58942, 15682, 20834, 107515, 9174, 37271, 112185, 100604, 95001, 112603, 126694, 31431, 121406, 23039, 101399, 10110, 109832, 67178, 7705, 29295, 32, 55031, 48, 16144, 66378, 17599, 112, 38641, 9174, 32, 55031, 48, 30512, 104195, 44416, 112535, 73686, 42891, 105714, 31431, 121406, 105284, 99397, 9174, 9458, 118823, 17905, 20230, 100604, 107707, 103846, 108176, 30926, 71289, 102944, 15682, 95532, 9458, 115412, 115412, 19732, 115412, 115412, 16144, 115856, 76622, 114146, 16556, 105755, 103424, 47884, 109020, 198, 9458, 26854, 112371, 58426, 110018, 20230, 102131, 91763, 100472, 104865, 198, 9458, 109832, 37689, 49792, 101908, 198, 9458, 103984, 102212, 30512, 108285, 102639, 30369, 113009, 99849, 117824, 30297, 125231, 32149, 198, 9458, 43511, 112919, 37689, 91774, 30512, 104655, 102334, 17905, 113245, 115364, 37689, 91774, 198, 32, 55031, 48, 30512, 121406, 23039, 101399, 15682, 5486, 103899, 58942, 30512, 43511, 20230, 106767, 120837, 91774, 59739, 124403, 100909, 122416, 38641, 9174, 64121, 103171, 29295, 108895, 109860, 41832, 107, 198, 64121, 103171, 19732, 108010, 30297, 55031, 38798, 243, 198, 120950, 42016, 104873, 48634, 16144, 104195, 16995, 102433, 114754, 66378, 20230, 107202, 46034, 117408, 17620, 102212, 26854, 104865, 110241, 33121, 107515, 9174, 13177, 114284, 10646, 71289, 13177, 125641, 10646, 5486, 103214, 64121, 114146, 121453, 28713, 26854, 103984, 28542, 111476, 67645, 33121, 32977, 5486, 103188, 86436, 16144, 106596, 117758, 112366, 112603, 30512, 106839, 50834, 121406, 103378, 16144, 15836, 102052, 118765, 100909, 38641, 9174, 108895, 125338, 113727, 104533, 5486, 15836, 19732, 114516, 16144, 104364, 29295, 31958, 105184, 20230, 78183, 32149, 104533, 91763, 61689, 9174, 567, 1229, 55031, 32, 108608, 16144, 105110, 42634, 103672, 67075, 72661, 15836, 72661, 105321, 72661, 33655, 30297, 125231, 198, 112832, 32149, 29295, 50338, 104662, 56051, 100909, 16144, 101182, 48, 16144, 107420, 64810, 22398, 16556, 101128, 102, 104004, 104468, 5486, 90620, 16144, 53508, 231, 104195, 127242, 16144, 125396, 115991, 5486, 32, 103296, 16144, 125456, 30512, 103911, 108867, 16556, 105714, 31431, 116348, 117063, 111243, 82973, 29295, 32977, 100472, 16995, 100604, 38641, 9174, 126120, 96455, 33208, 108608, 105879, 30591, 104984, 112366, 126120, 96455, 30512, 30832, 64467, 15024, 5486, 112185, 114754, 102404, 91774, 103082, 126386, 5486, 17792, 104770, 85707, 16144, 106613, 111186, 123410, 113009, 125456, 124905, 16995, 17129, 109954, 9174, 111199, 117384, 103351, 113146, 198, 58426, 39177, 5486, 42634, 103672, 67075, 102052, 124131, 103927, 15682, 19967, 33121, 107515, 59459, 27929, 32977, 27929, 32977, 104736, 109375, 119703, 23954, 17039, 28713, 26854, 5486, 102404, 91774, 5486, 105755, 101523, 227, 48634, 109904, 102494, 101335, 104309, 5486, 103188, 86436, 16144, 106596, 55031, 77181, 106839, 50834, 20834, 72342, 100604, 5486, 101067, 66201, 48634, 19732, 109832, 67178, 123457, 101662, 38144, 17129, 109954, 9174, 567, 126333, 15024, 72661, 115389, 26854, 109335, 16995, 43514, 103856, 47884, 42634, 103672, 67075, 20230, 49988, 122101, 198, 50834, 59739, 16995, 30358, 8239, 112, 122502, 5486, 109972, 106529, 16144, 119448, 16995, 117876, 15682, 116898, 43514, 103856, 47884, 42634, 103672, 67075, 20230, 56051, 16995, 38641, 123794, 9174, 59739, 109709, 5486, 115389, 16995, 26854, 106592, 50338, 104662, 54926, 113009, 112832, 32977, 125001, 43514, 103856, 47884, 42634, 103672, 67075, 20230, 49988, 72342, 106956, 119150, 106046, 61689, 9174, 80673, 13177, 85701, 15682, 112185, 42634, 103672, 67075, 102052, 118765, 10646, 51330, 105933, 105908, 43240, 117714, 32977, 30926, 103350, 38641, 9174, 85701, 120577, 53953, 30926, 15682, 17620, 50338, 15024, 49988, 72342, 110071, 100909, 49988, 72342, 102204, 100604, 120266, 17620, 76622, 103130, 104127, 49988, 72342, 110071, 109335, 67645, 124592, 25827, 42634, 103672, 67075, 20230, 49988, 122101, 106592, 33334, 125683, 62004, 78434, 9174, 126407, 104127, 118765, 117876, 15682, 5486, 112832, 32149, 29295, 42634, 103672, 67075, 20230, 31640, 11883, 109768, 101860, 33121, 112832, 32149, 29295, 50338, 104662, 78434, 9174, 80673, 5486, 126407, 109315, 100909, 80539, 5486, 34226, 20230, 107707, 103846, 108176, 5486, 125098, 99750, 71289, 125641, 107407, 109335, 123029, 42634, 103672, 67075, 102052, 103082, 107515, 9174, 13177, 99750, 91875, 30512, 58318, 58942, 110071, 108680, 107969, 16325, 15024, 105465, 102800, 106046, 105262, 106592, 103792, 32149, 111329, 51330, 99750, 112854, 127105, 29295, 85701, 117758, 117876, 16144, 57903, 24273, 101983, 104533, 91763, 61689, 9174, 567, 113545, 108518, 71289, 114567, 16144, 48, 55031, 32, 111848, 16325, 109177, 198, 127091, 30512, 105994, 16556, 50338, 104662, 56051, 39177, 106116, 110018, 16144, 109834, 28194, 106, 15682, 5486, 17792, 104770, 29295, 119869, 20230, 80699, 116825, 107674, 39177, 5486, 101721, 95221, 116825, 107674, 39177, 5486, 20230, 116298, 114737, 78434, 9174, 51330, 99750, 112854, 15682, 121568, 103306, 53283, 110104, 106592, 5486, 102404, 91774, 56051, 110018, 105352, 112361, 105908, 72718, 50834, 33541, 9174, 58426, 103846, 5486, 58318, 58942, 110071, 48, 55031, 32, 16144, 125456, 20230, 102057, 249, 102204, 104533, 198, 48, 5486, 48, 5486, 48, 5486, 48, 19732, 48, 30512, 20834, 103792, 107707, 84264, 250, 115717, 5486, 105994, 15682, 119318, 116310, 123727, 32, 30512, 30591, 28713, 32149, 32977, 17039, 28713, 20230, 102404, 91774, 56051, 116421, 104466, 126845, 112854, 78434, 9174, 113293, 30926, 115173, 68759, 32977, 5486, 112832, 116421, 57207, 96452, 37823, 90962, 16556, 19967, 125398, 105352, 97518, 78183, 121140, 5486, 37026, 33503, 29295, 50338, 104662, 56051, 116421, 104466, 126845, 112854, 15024, 45923, 113390, 101198, 16073, 125334, 38144, 109834, 28194, 106, 121894, 115717, 33541, 9174, 58426, 109054, 29220, 33710, 101983, 104533, 5486, 53900, 17039, 28713, 26854, 48, 30512, 32018, 62004, 15682, 100204, 62004, 58426, 109054, 29220, 33710, 15682, 82533, 109709, 107515, 9174, 48915, 9554, 110456, 106266, 52118, 50338, 104662, 52118, 48915, 9554, 110456, 106266, 52118, 50338, 104662, 90578, 16144, 43568, 48249, 33710, 107610, 38641, 9174, 37026, 33503, 108134, 30512, 102647, 102802, 108167, 120650, 47884, 17792, 116749, 15682, 51330, 33710, 107610, 102052, 16144, 123606, 107515, 9174, 80539, 58426, 116537, 17039, 28713, 26854, 48, 30512, 102404, 22023, 54926, 1981, 49838, 198, 567, 220, 67645, 103171, 117876, 72661, 48622, 19732, 93173, 16144, 114754, 107991, 198, 9458, 117876, 29295, 17701, 76947, 50834, 38144, 77693, 103378, 30512, 50338, 104662, 54926, 17792, 198, 9458, 117876, 29295, 17701, 76947, 50834, 38144, 50338, 104662, 54926, 41007, 30512, 49792, 101908, 54926, 17792, 198, 9458, 117876, 104088, 59739, 107441, 50338, 104662, 41007, 30512, 46239, 108608, 17792, 198, 9458, 117876, 101983, 107462, 100604, 109606, 104088, 59739, 107441, 117876, 126694, 30369, 17792, 198, 9458, 41007, 29295, 78183, 124403, 53953, 30926, 16144, 103621, 64178, 30512, 23187, 104577, 15024, 107420, 64810, 22398, 30512, 32018, 107436, 43240, 119064, 17792, 20230, 113173, 30512, 58318, 58942, 102149, 117063, 30369, 17792, 198 ]
[ 116414, 103296, 23039, 114598, 48622, 19732, 93173, 15682, 48706, 78434, 9174, 110968, 103646, 117876, 30512, 117120, 22649, 54926, 103378, 29295, 117876, 36785, 106046, 107462, 104533, 116898, 101860, 33121, 17161, 106808, 32977, 117952, 100604, 5486, 101198, 22398, 32977, 21105, 103, 16995, 42634, 103672, 67075, 20230, 31640, 11883, 84389, 104533, 91763, 61689, 9174, 117943, 104004, 110366, 103351, 33503, 5486, 42634, 103672, 67075, 120332, 29295, 117943, 64121, 126172, 16995, 38641, 123794, 198, 22957, 26854, 17663, 103378, 16144, 117876, 15682, 85701, 126328, 114485, 107462, 47884, 198, 80539, 5486, 117876, 104088, 126268, 19967, 107462, 47884, 107707, 107693, 34171, 29295, 45736, 17129, 104533, 91763, 61689, 9174, 115389, 16995, 26854, 106592, 71289, 103836, 102083, 59739, 17129, 72661, 13177, 48, 55031, 32, 125456, 10646, 113487, 76622, 20834, 72342, 100604, 198, 53901, 112495, 106592, 71289, 103836, 116537, 105755, 103424, 47884, 23226, 106594, 109768, 105898, 16995, 105879, 67645, 124592, 25827, 13177, 32, 55031, 48, 125456, 10646, 16556, 20834, 122101, 198, 51330, 104364, 15682, 110745, 50834, 47884, 5486, 122270, 87447, 16995, 100481, 47884, 106046, 61689, 9174, 567, 113545, 71634, 16144, 83799, 30512, 104721, 105262, 125231, 198, 13177, 47307, 52884, 123167, 5486, 4977, 5486, 124131, 103927, 5486, 121355, 102181, 123213, 122617, 57903, 198, 115412, 115412, 113115, 39926, 104405, 91763, 30297, 32149, 30591, 112568, 16144, 113727, 30512, 102181, 76622, 76864, 198, 85701, 120264, 16144, 109606, 16556, 100604, 19732, 17792, 103306, 104405, 54926, 32149, 30512, 113727, 102204, 107515, 9174, 71493, 16073, 78683, 94550, 109606, 29295, 118331, 61398, 101983, 106358, 31431, 78434, 29295, 106116, 109606, 37026, 33014, 29295, 103188, 86436, 16144, 108134, 55031, 106839, 50834, 20834, 127397, 114732, 100909, 109860, 109606, 26854, 105272, 106046, 61689, 9174, 43511, 105352, 198, 115953, 19113, 115541, 108710, 104309, 32977, 124500, 30369, 123253, 9174, 46034, 16144, 104486, 29295, 21980, 248, 104028, 120264, 99849, 27479, 32977, 95543, 109095, 39926, 102181, 102532, 112854, 105262, 107141, 101275, 55031, 5486, 104328, 33503, 105722, 55031, 109431, 102769, 20230, 104721, 109033, 54926, 107141, 101275, 102416, 198, 98499, 102189, 53953, 102158, 15682, 104405, 91763, 30297, 116421, 99750, 101067, 17161, 198, 118687, 32977, 198, 9039, 29430, 30512, 50338, 47884, 109606, 55031, 198, 109606, 55031, 33655, 105262, 9039, 29430, 30512, 15682, 62004, 104526, 104004, 57326, 77750, 32131, 101198, 94550, 16144, 107141, 101275, 5486, 102321, 47523, 16144, 63212, 9039, 17620, 50338, 5486, 105242, 22649, 125456, 102416, 198, 114654, 32977, 198, 111602, 117735, 101513, 30512, 38129, 126693, 112690, 15682, 39209, 110027, 30369, 105879, 5486, 125559, 16144, 106581, 71289, 41758, 42634, 112164, 33710, 105335, 108506, 65575, 71289, 106699, 100927, 30512, 48864, 102802, 108048, 33503, 106581, 30512, 119870, 17129, 107290, 120007, 16144, 100909, 16144, 113954, 30512, 102987, 109315, 124122, 107141, 101275, 102416, 198, 22649, 70626, 15682, 198, 122735, 5486, 113614, 5486, 103429, 95221, 5486, 109683, 16144, 13153, 31431, 118013, 5486, 102494, 101335, 16144, 106391, 67178, 104309, 30512, 17620, 50338, 15024, 19967, 31431, 104721, 105262, 107141, 101275, 102416, 5486, 56420, 102181, 50834, 109033, 58942, 71289, 5486, 112185, 50338, 104662, 109768, 100604, 109606, 30512, 101545, 44309, 54926, 124122, 111090, 125380, 78698, 105085, 198, 106222, 15682, 198, 114172, 102512, 5486, 102616, 40474, 110095, 5486, 117501, 109606, 30512, 119870, 17129, 107290, 115847, 55031, 30512, 104405, 54926, 125231, 32149, 30512, 48864, 102189, 17905, 16556, 5486, 115364, 37689, 91774, 30512, 123011, 62004, 118789, 109904, 123120, 20230, 102936, 19732, 15024, 104526, 104004, 107141, 101275, 102416, 198, 76208, 100927, 70626, 15682, 114387, 112391, 123253, 32149, 198, 108895, 113727, 104533, 61304, 125534, 103378, 16144, 106081, 111186, 15682, 115552, 119703, 38641, 15024, 5486, 33857, 103378, 30512, 22957, 26854, 17663, 53508, 231, 104195, 32977, 33655, 58942, 123733, 31431, 33541, 9174, 112366, 16144, 105284, 30512, 50928, 30369, 113009, 5486, 43568, 9039, 117083, 48, 30512, 106081, 15024, 5486, 116602, 20834, 32, 30512, 122635, 30512, 30832, 64467, 17663, 105908, 109215, 38641, 9174, 37271, 102321, 39177, 28542, 16556, 32, 16144, 100604, 48, 30512, 64121, 103171, 16556, 78698, 105262, 198, 85701, 29295, 106222, 16556, 109215, 19732, 107001, 85701, 117758, 13177, 48634, 10646, 126529, 111769, 123253, 32149, 95532, 102677, 37689, 91774, 32977, 15120, 37689, 91774, 38641, 9174, 37656, 102800, 32149, 37656, 106624, 100604, 32149, 5486, 103899, 58942, 15682, 124897, 9174, 30591, 112568, 29295, 104405, 78698, 105262, 32149, 5486, 80539, 51330, 77219, 32, 55031, 30591, 112568, 116907, 16556, 20834, 122101, 48, 30512, 78698, 105262, 50834, 42891, 126929, 101983, 104984, 104712, 26854, 106046, 61689, 1811, 128001, 128000, 827, 220, 16, 13, 37271, 18904, 16144, 109606, 198, 109242, 122202, 26854, 17620, 58699, 238, 16144, 102181, 50834, 24273, 16556, 109440, 100472, 109335, 57903, 33541, 32149, 95532, 37271, 18904, 112073, 98369, 20230, 106081, 15024, 20230, 102181, 16995, 100481, 90620, 105898, 16995, 17620, 58699, 238, 16144, 117120, 22649, 15682, 117896, 1811, 112825, 110904, 125743, 120065, 28190, 105987, 47884, 65316, 102944, 38641, 9174, 17, 11, 18, 17620, 16556, 102181, 102334, 105879, 114715, 21980, 248, 16995, 107493, 5486, 110008, 39926, 34910, 68380, 26, 340, 83125, 16556, 122984, 112990, 5486, 104721, 9039, 10104, 16144, 112603, 113468, 117120, 22649, 30512, 17620, 58699, 238, 107726, 33541, 9174, 10104, 16144, 112603, 29295, 16, 16144, 126513, 5486, 93461, 368, 97518, 9039, 30512, 91875, 123772, 5486, 113702, 29295, 1904, 127303, 104984, 5486, 3055, 23958, 368, 30512, 103350, 23039, 78434, 9174, 10104, 16144, 112603, 29295, 17, 16144, 126513, 5486, 93461, 368, 97518, 9039, 30512, 91875, 32149, 30813, 101860, 5486, 90620, 3055, 23958, 368, 30512, 103350, 23039, 78434, 9174, 10104, 16144, 112603, 29295, 17905, 61304, 116749, 16144, 126513, 26854, 105352, 103801, 72342, 25827, 9174, 112825, 110904, 26854, 117120, 22649, 38641, 9174, 827, 220, 17, 13, 103350, 104983, 20230, 102181, 102532, 64121, 17129, 109954, 198, 30813, 38144, 5486, 77181, 23897, 104989, 16144, 83125, 30512, 98499, 104004, 112772, 5486, 112073, 98369, 102208, 37026, 103350, 104983, 20230, 57326, 77750, 32131, 91062, 103306, 51330, 117120, 22649, 30512, 102181, 102532, 64121, 17129, 109954, 9174, 78459, 32131, 57207, 16144, 118124, 20230, 99695, 16073, 16556, 102181, 102532, 32977, 104712, 15024, 5486, 57933, 62903, 71634, 76739, 103857, 47307, 20230, 102181, 102532, 32977, 104712, 38641, 9174, 112825, 110904, 16556, 124304, 11571, 220, 20713, 17620, 32977, 32149, 124403, 32149, 106046, 61689, 9174, 102181, 102334, 95532, 108056, 19732, 102181, 102334, 95532, 102181, 102334, 116537, 17297, 20230, 98499, 64121, 103130, 107436, 23039, 50834, 17129, 109954, 9174, 827, 220, 18, 13, 103899, 58942, 114146, 198, 30813, 38144, 5486, 67645, 103171, 112391, 115717, 79721, 32149, 101832, 95532, 43514, 26854, 64121, 20230, 114387, 32149, 25827, 100204, 16144, 113925, 80805, 102514, 16073, 30512, 11883, 37689, 39926, 64121, 79721, 9174, 104398, 121867, 66953, 37823, 76739, 38248, 115, 78205, 16073, 15682, 113487, 32149, 39926, 91763, 108064, 47884, 48249, 111331, 80805, 102514, 16073, 30512, 102181, 102532, 64121, 28713, 16144, 119627, 5486, 112073, 115867, 113925, 15682, 67645, 33121, 111201, 40265, 38144, 15682, 17129, 76947, 123253, 32149, 95532, 91875, 19967, 114140, 15682, 56051, 105879, 5486, 37656, 106624, 15682, 91875, 47884, 32149, 106046, 61689, 9174, 827, 220, 19, 13, 67645, 33121, 29295, 120111, 95532, 17905, 20230, 123680, 102639, 28713, 46702, 118821, 80805, 102514, 16073, 15682, 77693, 108422, 33121, 101544, 32938, 19732, 106649, 32938, 120950, 102944, 115991, 33541, 9174, 98499, 64121, 126172, 118544, 104405, 32149, 110162, 5486, 37656, 106045, 33208, 110731, 10110, 117120, 22649, 29295, 13828, 245, 101544, 16556, 100604, 7705, 32149, 110162, 5486, 21980, 236, 11883, 34171, 107407, 32149, 110162, 9174, 126843, 5486, 80805, 102514, 16073, 16, 15682, 77693, 108422, 33121, 16144, 10104, 16144, 112603, 111848, 91875, 19967, 29295, 104862, 114774, 17663, 16995, 38641, 9174, 57326, 77750, 32131, 91062, 107809, 16556, 10104, 29295, 117120, 22649, 44416, 109088, 11883, 16144, 104721, 9039, 103195, 105110, 81219, 108048, 121410, 20230, 117120, 22649, 29295, 104862, 107800, 118881, 29295, 126521, 102677, 113727, 24273, 32977, 57903, 33541, 9174, 90620, 15024, 5486, 91774, 38144, 17620, 117295, 121640, 3055, 23958, 368, 29295, 17, 18904, 102181, 32149, 106824, 108086, 5486, 43568, 102147, 226, 115991, 33541, 123405, 19732, 13177, 31634, 54926, 20230, 10104, 29295, 17, 16144, 39177, 15682, 93461, 368, 21105, 103, 47884, 104712, 66383, 95604, 91774, 24273, 15682, 15024, 20230, 47884, 16995, 125651, 9174, 33671, 20230, 5486, 80805, 102514, 16073, 17, 15682, 117120, 22649, 20230, 43568, 102147, 226, 15682, 124897, 29295, 5486, 80805, 26269, 19732, 91774, 28713, 112391, 29295, 78183, 107277, 20230, 47884, 16995, 107188, 106046, 61689, 1811, 99849, 105755, 127637, 106053, 23187, 113702, 30512, 6245, 104721, 9039, 20230, 31640, 17701, 103792, 105879, 5486, 74245, 99750, 9554, 16556, 123733, 76947, 103801, 76947, 61689, 9174, 80805, 102514, 16073, 18, 32977, 117120, 22649, 20230, 43568, 102147, 226, 15682, 124897, 15024, 5486, 23039, 9039, 32977, 83747, 103470, 5486, 91774, 28713, 112391, 15682, 15120, 87217, 124131, 84477, 125651, 9174, 90620, 112160, 23039, 20230, 107608, 107436, 102181, 102334, 117375, 16556, 5486, 10104, 104856, 103836, 104721, 9039, 13372, 29295, 101544, 16995, 13372, 112772, 122489, 110276, 107803, 104309, 126365, 111108, 47884, 109020, 125396, 29295, 126574, 38641, 1811, 93461, 368, 114556, 120837, 5486, 117475, 15682, 125821, 101544, 16995, 97518, 9039, 13372, 117657, 123253, 15024, 5486, 103350, 104983, 102052, 10104, 15682, 396, 126194, 707, 16556, 7324, 368, 124905, 100472, 106053, 23187, 123410, 32149, 110241, 33121, 107515, 1811, 27452, 116285, 111476, 322, 19365, 18, 422, 1819, 2465, 13622, 39939, 41409, 6624, 446, 32977, 32977, 16995, 85791, 110305, 112164, 11972, 57, 909, 1024, 11913, 5519, 23958, 19527, 2189, 1393, 320, 2465, 13622, 39939, 41409, 6624, 446, 86127, 80195, 122393, 57106, 117539, 123331, 909, 883, 314, 656, 23958, 2178, 457, 115226, 26854, 9174, 80805, 102514, 16073, 19, 15682, 17790, 17161, 124905, 100472, 11883, 25333, 16556, 5486, 74245, 99750, 112535, 113954, 15024, 126172, 118544, 110241, 33121, 107515, 9174, 90620, 110371, 57326, 77750, 32131, 91062, 30512, 113954, 54926, 102052, 13177, 10248, 16144, 17790, 17161, 29295, 32131, 115882, 106901, 108969, 112535, 91875, 19967, 39926, 102532, 5486, 9137, 21105, 103, 16995, 126513, 67645, 124592, 25827, 17297, 16144, 23039, 30512, 103350, 23039, 109768, 47884, 66383, 95604, 106592, 53283, 103836, 109215, 115991, 33541, 1811, 17790, 17161, 15682, 108936, 9554, 7, 10380, 102052, 5486, 5756, 121410, 20230, 117120, 22649, 30512, 61304, 43032, 39926, 9137, 54926, 105933, 11883, 25333, 29295, 43240, 47884, 110371, 106592, 113954, 109768, 100604, 116537, 37689, 48915, 20230, 127181, 38641, 1811, 57326, 77750, 32131, 101198, 94550, 78244, 102158, 113468, 15682, 108895, 95604, 105104, 30297, 117084, 100604, 102944, 32977, 105693, 116499, 78434, 9174, 53900, 5486, 10248, 16144, 17790, 17161, 15682, 17790, 77195, 109156, 33121, 110071, 104721, 9039, 16144, 25287, 29295, 104662, 17129, 76947, 61689, 1811, 127880, 61304, 125534, 118816, 9195, 19732, 707, 116749, 16144, 126229, 104721, 9039, 15682, 125639, 33121, 107515, 1811, 103350, 9039, 32977, 125639, 33121, 107515, 1811, 77195, 32977, 59614, 101860, 15120, 105260, 77195, 16556, 5486, 125261, 102446, 70203, 124863, 33655, 58942, 107515, 125939, 18904, 16144, 126465, 15682, 13177, 396, 25287, 112028, 105260, 106053, 23187, 10646, 103351, 105879, 5486, 17790, 17161, 124905, 58942, 79721, 29295, 5486, 78244, 102158, 112535, 17790, 17161, 15682, 81742, 48915, 44416, 103664, 29295, 43240, 117714, 38641, 9174, 827, 220, 20, 13, 123011, 62004, 198, 17620, 58699, 238, 117120, 22649, 112987, 85791, 103171, 102181, 50834, 24273, 29295, 30591, 76947, 108048, 108422, 33121, 101544, 32938, 106649, 32938, 29295, 30591, 76947, 5486, 109431, 102769, 20230, 33655, 16995, 113334, 123207, 16995, 76622, 107515, 9174, 121159, 15682, 112073, 16144, 119046, 56438, 53953, 26854, 105879, 5486, 127177, 107707, 44971, 115882, 20230, 114146, 30369, 109215, 32977, 57903, 33541, 9174, 113404, 17905, 16144, 118729, 71289, 121101, 17905, 16144, 31634, 14558, 113468, 120953, 102181, 102334, 118881, 29295, 91774, 126172, 118544, 5486, 122489, 20230, 113420, 58942, 30297, 30369, 32149, 32977, 104721, 116547, 33541, 9174, 32307, 27327, 16144, 113925, 15682, 124897, 29295, 5486, 102208, 37026, 95221, 116825, 107441, 102181, 102532, 23039, 50834, 17129, 109954, 9174, 51330, 77219, 29295, 99849, 116421, 107461, 52414, 101983, 104984, 106515, 16995, 38641, 1811, 128001, 128000, 123532, 101275, 102351, 29295, 121410, 117073, 121101, 30512, 126574, 44971, 115882, 16556, 30250, 224, 23039, 124545, 103846, 102052, 5486, 107079, 33014, 9554, 5486, 53900, 113116, 109904, 113614, 109205, 69978, 30512, 124490, 32149, 17663, 105908, 103082, 107515, 113637, 105933, 113614, 109205, 69978, 114792, 106307, 124545, 103846, 105352, 5486, 126356, 112950, 21990, 16144, 104195, 33208, 30512, 108008, 20230, 8239, 114503, 9554, 19732, 78244, 105262, 123253, 1811, 123532, 101275, 102351, 16144, 102756, 105048, 102803, 52591, 66953, 119930, 30512, 109205, 69978, 124545, 113009, 107734, 80195, 59739, 102923, 105226, 5486, 53900, 64209, 96356, 16144, 37823, 123646, 116219, 107294, 105722, 30369, 105933, 102923, 105226, 30512, 43240, 47884, 109466, 31431, 104526, 104004, 100909, 112212, 5486, 123532, 101275, 102351, 16144, 113614, 109205, 69978, 16144, 74482, 110408, 15024, 105352, 59739, 105722, 31431, 33541, 1811, 123532, 101275, 102351, 16144, 22023, 64209, 29295, 55999, 20230, 113614, 109904, 102944, 127303, 104984, 5486, 121101, 30512, 126120, 96455, 114652, 30250, 224, 23039, 15024, 126172, 115737, 31431, 33541, 9174, 126356, 112950, 21990, 125175, 30512, 105843, 103350, 33208, 124545, 118733, 5486, 123532, 101275, 102351, 16144, 112624, 102780, 27479, 5486, 53900, 103926, 100815, 96455, 16144, 70141, 17905, 32977, 45736, 115464, 118733, 109954, 1811, 108936, 112535, 17039, 124305, 61337, 102351, 16144, 17701, 61337, 18, 8107, 123470, 23187, 100815, 96455, 15682, 22, 111017, 108680, 19732, 117952, 33121 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 116414, 103296, 23039, 114598, 48622, 19732, 93173, 15682, 48706, 78434, 9174, 110968, 103646, 117876, 30512, 117120, 22649, 54926, 103378, 29295, 117876, 36785, 106046, 107462, 104533, 116898, 101860, 33121, 17161, 106808, 32977, 117952, 100604, 5486, 101198, 22398, 32977, 21105, 103, 16995, 42634, 103672, 67075, 20230, 31640, 11883, 84389, 104533, 91763, 61689, 9174, 117943, 104004, 110366, 103351, 33503, 5486, 42634, 103672, 67075, 120332, 29295, 117943, 64121, 126172, 16995, 38641, 123794, 198, 22957, 26854, 17663, 103378, 16144, 117876, 15682, 85701, 126328, 114485, 107462, 47884, 198, 80539, 5486, 117876, 104088, 126268, 19967, 107462, 47884, 107707, 107693, 34171, 29295, 45736, 17129, 104533, 91763, 61689, 9174, 115389, 16995, 26854, 106592, 71289, 103836, 102083, 59739, 17129, 72661, 13177, 48, 55031, 32, 125456, 10646, 113487, 76622, 20834, 72342, 100604, 198, 53901, 112495, 106592, 71289, 103836, 116537, 105755, 103424, 47884, 23226, 106594, 109768, 105898, 16995, 105879, 67645, 124592, 25827, 13177, 32, 55031, 48, 125456, 10646, 16556, 20834, 122101, 198, 51330, 104364, 15682, 110745, 50834, 47884, 5486, 122270, 87447, 16995, 100481, 47884, 106046, 61689, 9174, 567, 113545, 71634, 16144, 83799, 30512, 104721, 105262, 125231, 198, 13177, 47307, 52884, 123167, 5486, 4977, 5486, 124131, 103927, 5486, 121355, 102181, 123213, 122617, 57903, 198, 115412, 115412, 113115, 39926, 104405, 91763, 30297, 32149, 30591, 112568, 16144, 113727, 30512, 102181, 76622, 76864, 198, 85701, 120264, 16144, 109606, 16556, 100604, 19732, 17792, 103306, 104405, 54926, 32149, 30512, 113727, 102204, 107515, 9174, 71493, 16073, 78683, 94550, 109606, 29295, 118331, 61398, 101983, 106358, 31431, 78434, 29295, 106116, 109606, 37026, 33014, 29295, 103188, 86436, 16144, 108134, 55031, 106839, 50834, 20834, 127397, 114732, 100909, 109860, 109606, 26854, 105272, 106046, 61689, 9174, 43511, 105352, 198, 115953, 19113, 115541, 108710, 104309, 32977, 124500, 30369, 123253, 9174, 46034, 16144, 104486, 29295, 21980, 248, 104028, 120264, 99849, 27479, 32977, 95543, 109095, 39926, 102181, 102532, 112854, 105262, 107141, 101275, 55031, 5486, 104328, 33503, 105722, 55031, 109431, 102769, 20230, 104721, 109033, 54926, 107141, 101275, 102416, 198, 98499, 102189, 53953, 102158, 15682, 104405, 91763, 30297, 116421, 99750, 101067, 17161, 198, 118687, 32977, 198, 9039, 29430, 30512, 50338, 47884, 109606, 55031, 198, 109606, 55031, 33655, 105262, 9039, 29430, 30512, 15682, 62004, 104526, 104004, 57326, 77750, 32131, 101198, 94550, 16144, 107141, 101275, 5486, 102321, 47523, 16144, 63212, 9039, 17620, 50338, 5486, 105242, 22649, 125456, 102416, 198, 114654, 32977, 198, 111602, 117735, 101513, 30512, 38129, 126693, 112690, 15682, 39209, 110027, 30369, 105879, 5486, 125559, 16144, 106581, 71289, 41758, 42634, 112164, 33710, 105335, 108506, 65575, 71289, 106699, 100927, 30512, 48864, 102802, 108048, 33503, 106581, 30512, 119870, 17129, 107290, 120007, 16144, 100909, 16144, 113954, 30512, 102987, 109315, 124122, 107141, 101275, 102416, 198, 22649, 70626, 15682, 198, 122735, 5486, 113614, 5486, 103429, 95221, 5486, 109683, 16144, 13153, 31431, 118013, 5486, 102494, 101335, 16144, 106391, 67178, 104309, 30512, 17620, 50338, 15024, 19967, 31431, 104721, 105262, 107141, 101275, 102416, 5486, 56420, 102181, 50834, 109033, 58942, 71289, 5486, 112185, 50338, 104662, 109768, 100604, 109606, 30512, 101545, 44309, 54926, 124122, 111090, 125380, 78698, 105085, 198, 106222, 15682, 198, 114172, 102512, 5486, 102616, 40474, 110095, 5486, 117501, 109606, 30512, 119870, 17129, 107290, 115847, 55031, 30512, 104405, 54926, 125231, 32149, 30512, 48864, 102189, 17905, 16556, 5486, 115364, 37689, 91774, 30512, 123011, 62004, 118789, 109904, 123120, 20230, 102936, 19732, 15024, 104526, 104004, 107141, 101275, 102416, 198, 76208, 100927, 70626, 15682, 114387, 112391, 123253, 32149, 198, 108895, 113727, 104533, 61304, 125534, 103378, 16144, 106081, 111186, 15682, 115552, 119703, 38641, 15024, 5486, 33857, 103378, 30512, 22957, 26854, 17663, 53508, 231, 104195, 32977, 33655, 58942, 123733, 31431, 33541, 9174, 112366, 16144, 105284, 30512, 50928, 30369, 113009, 5486, 43568, 9039, 117083, 48, 30512, 106081, 15024, 5486, 116602, 20834, 32, 30512, 122635, 30512, 30832, 64467, 17663, 105908, 109215, 38641, 9174, 37271, 102321, 39177, 28542, 16556, 32, 16144, 100604, 48, 30512, 64121, 103171, 16556, 78698, 105262, 198, 85701, 29295, 106222, 16556, 109215, 19732, 107001, 85701, 117758, 13177, 48634, 10646, 126529, 111769, 123253, 32149, 95532, 102677, 37689, 91774, 32977, 15120, 37689, 91774, 38641, 9174, 37656, 102800, 32149, 37656, 106624, 100604, 32149, 5486, 103899, 58942, 15682, 124897, 9174, 30591, 112568, 29295, 104405, 78698, 105262, 32149, 5486, 80539, 51330, 77219, 32, 55031, 30591, 112568, 116907, 16556, 20834, 122101, 48, 30512, 78698, 105262, 50834, 42891, 126929, 101983, 104984, 104712, 26854, 106046, 61689, 1811, 128001, 128000, 827, 220, 16, 13, 37271, 18904, 16144, 109606, 198, 109242, 122202, 26854, 17620, 58699, 238, 16144, 102181, 50834, 24273, 16556, 109440, 100472, 109335, 57903, 33541, 32149, 95532, 37271, 18904, 112073, 98369, 20230, 106081, 15024, 20230, 102181, 16995, 100481, 90620, 105898, 16995, 17620, 58699, 238, 16144, 117120, 22649, 15682, 117896, 1811, 112825, 110904, 125743, 120065, 28190, 105987, 47884, 65316, 102944, 38641, 9174, 17, 11, 18, 17620, 16556, 102181, 102334, 105879, 114715, 21980, 248, 16995, 107493, 5486, 110008, 39926, 34910, 68380, 26, 340, 83125, 16556, 122984, 112990, 5486, 104721, 9039, 10104, 16144, 112603, 113468, 117120, 22649, 30512, 17620, 58699, 238, 107726, 33541, 9174, 10104, 16144, 112603, 29295, 16, 16144, 126513, 5486, 93461, 368, 97518, 9039, 30512, 91875, 123772, 5486, 113702, 29295, 1904, 127303, 104984, 5486, 3055, 23958, 368, 30512, 103350, 23039, 78434, 9174, 10104, 16144, 112603, 29295, 17, 16144, 126513, 5486, 93461, 368, 97518, 9039, 30512, 91875, 32149, 30813, 101860, 5486, 90620, 3055, 23958, 368, 30512, 103350, 23039, 78434, 9174, 10104, 16144, 112603, 29295, 17905, 61304, 116749, 16144, 126513, 26854, 105352, 103801, 72342, 25827, 9174, 112825, 110904, 26854, 117120, 22649, 38641, 9174, 827, 220, 17, 13, 103350, 104983, 20230, 102181, 102532, 64121, 17129, 109954, 198, 30813, 38144, 5486, 77181, 23897, 104989, 16144, 83125, 30512, 98499, 104004, 112772, 5486, 112073, 98369, 102208, 37026, 103350, 104983, 20230, 57326, 77750, 32131, 91062, 103306, 51330, 117120, 22649, 30512, 102181, 102532, 64121, 17129, 109954, 9174, 78459, 32131, 57207, 16144, 118124, 20230, 99695, 16073, 16556, 102181, 102532, 32977, 104712, 15024, 5486, 57933, 62903, 71634, 76739, 103857, 47307, 20230, 102181, 102532, 32977, 104712, 38641, 9174, 112825, 110904, 16556, 124304, 11571, 220, 20713, 17620, 32977, 32149, 124403, 32149, 106046, 61689, 9174, 102181, 102334, 95532, 108056, 19732, 102181, 102334, 95532, 102181, 102334, 116537, 17297, 20230, 98499, 64121, 103130, 107436, 23039, 50834, 17129, 109954, 9174, 827, 220, 18, 13, 103899, 58942, 114146, 198, 30813, 38144, 5486, 67645, 103171, 112391, 115717, 79721, 32149, 101832, 95532, 43514, 26854, 64121, 20230, 114387, 32149, 25827, 100204, 16144, 113925, 80805, 102514, 16073, 30512, 11883, 37689, 39926, 64121, 79721, 9174, 104398, 121867, 66953, 37823, 76739, 38248, 115, 78205, 16073, 15682, 113487, 32149, 39926, 91763, 108064, 47884, 48249, 111331, 80805, 102514, 16073, 30512, 102181, 102532, 64121, 28713, 16144, 119627, 5486, 112073, 115867, 113925, 15682, 67645, 33121, 111201, 40265, 38144, 15682, 17129, 76947, 123253, 32149, 95532, 91875, 19967, 114140, 15682, 56051, 105879, 5486, 37656, 106624, 15682, 91875, 47884, 32149, 106046, 61689, 9174, 827, 220, 19, 13, 67645, 33121, 29295, 120111, 95532, 17905, 20230, 123680, 102639, 28713, 46702, 118821, 80805, 102514, 16073, 15682, 77693, 108422, 33121, 101544, 32938, 19732, 106649, 32938, 120950, 102944, 115991, 33541, 9174, 98499, 64121, 126172, 118544, 104405, 32149, 110162, 5486, 37656, 106045, 33208, 110731, 10110, 117120, 22649, 29295, 13828, 245, 101544, 16556, 100604, 7705, 32149, 110162, 5486, 21980, 236, 11883, 34171, 107407, 32149, 110162, 9174, 126843, 5486, 80805, 102514, 16073, 16, 15682, 77693, 108422, 33121, 16144, 10104, 16144, 112603, 111848, 91875, 19967, 29295, 104862, 114774, 17663, 16995, 38641, 9174, 57326, 77750, 32131, 91062, 107809, 16556, 10104, 29295, 117120, 22649, 44416, 109088, 11883, 16144, 104721, 9039, 103195, 105110, 81219, 108048, 121410, 20230, 117120, 22649, 29295, 104862, 107800, 118881, 29295, 126521, 102677, 113727, 24273, 32977, 57903, 33541, 9174, 90620, 15024, 5486, 91774, 38144, 17620, 117295, 121640, 3055, 23958, 368, 29295, 17, 18904, 102181, 32149, 106824, 108086, 5486, 43568, 102147, 226, 115991, 33541, 123405, 19732, 13177, 31634, 54926, 20230, 10104, 29295, 17, 16144, 39177, 15682, 93461, 368, 21105, 103, 47884, 104712, 66383, 95604, 91774, 24273, 15682, 15024, 20230, 47884, 16995, 125651, 9174, 33671, 20230, 5486, 80805, 102514, 16073, 17, 15682, 117120, 22649, 20230, 43568, 102147, 226, 15682, 124897, 29295, 5486, 80805, 26269, 19732, 91774, 28713, 112391, 29295, 78183, 107277, 20230, 47884, 16995, 107188, 106046, 61689, 1811, 99849, 105755, 127637, 106053, 23187, 113702, 30512, 6245, 104721, 9039, 20230, 31640, 17701, 103792, 105879, 5486, 74245, 99750, 9554, 16556, 123733, 76947, 103801, 76947, 61689, 9174, 80805, 102514, 16073, 18, 32977, 117120, 22649, 20230, 43568, 102147, 226, 15682, 124897, 15024, 5486, 23039, 9039, 32977, 83747, 103470, 5486, 91774, 28713, 112391, 15682, 15120, 87217, 124131, 84477, 125651, 9174, 90620, 112160, 23039, 20230, 107608, 107436, 102181, 102334, 117375, 16556, 5486, 10104, 104856, 103836, 104721, 9039, 13372, 29295, 101544, 16995, 13372, 112772, 122489, 110276, 107803, 104309, 126365, 111108, 47884, 109020, 125396, 29295, 126574, 38641, 1811, 93461, 368, 114556, 120837, 5486, 117475, 15682, 125821, 101544, 16995, 97518, 9039, 13372, 117657, 123253, 15024, 5486, 103350, 104983, 102052, 10104, 15682, 396, 126194, 707, 16556, 7324, 368, 124905, 100472, 106053, 23187, 123410, 32149, 110241, 33121, 107515, 1811, 27452, 116285, 111476, 322, 19365, 18, 422, 1819, 2465, 13622, 39939, 41409, 6624, 446, 32977, 32977, 16995, 85791, 110305, 112164, 11972, 57, 909, 1024, 11913, 5519, 23958, 19527, 2189, 1393, 320, 2465, 13622, 39939, 41409, 6624, 446, 86127, 80195, 122393, 57106, 117539, 123331, 909, 883, 314, 656, 23958, 2178, 457, 115226, 26854, 9174, 80805, 102514, 16073, 19, 15682, 17790, 17161, 124905, 100472, 11883, 25333, 16556, 5486, 74245, 99750, 112535, 113954, 15024, 126172, 118544, 110241, 33121, 107515, 9174, 90620, 110371, 57326, 77750, 32131, 91062, 30512, 113954, 54926, 102052, 13177, 10248, 16144, 17790, 17161, 29295, 32131, 115882, 106901, 108969, 112535, 91875, 19967, 39926, 102532, 5486, 9137, 21105, 103, 16995, 126513, 67645, 124592, 25827, 17297, 16144, 23039, 30512, 103350, 23039, 109768, 47884, 66383, 95604, 106592, 53283, 103836, 109215, 115991, 33541, 1811, 17790, 17161, 15682, 108936, 9554, 7, 10380, 102052, 5486, 5756, 121410, 20230, 117120, 22649, 30512, 61304, 43032, 39926, 9137, 54926, 105933, 11883, 25333, 29295, 43240, 47884, 110371, 106592, 113954, 109768, 100604, 116537, 37689, 48915, 20230, 127181, 38641, 1811, 57326, 77750, 32131, 101198, 94550, 78244, 102158, 113468, 15682, 108895, 95604, 105104, 30297, 117084, 100604, 102944, 32977, 105693, 116499, 78434, 9174, 53900, 5486, 10248, 16144, 17790, 17161, 15682, 17790, 77195, 109156, 33121, 110071, 104721, 9039, 16144, 25287, 29295, 104662, 17129, 76947, 61689, 1811, 127880, 61304, 125534, 118816, 9195, 19732, 707, 116749, 16144, 126229, 104721, 9039, 15682, 125639, 33121, 107515, 1811, 103350, 9039, 32977, 125639, 33121, 107515, 1811, 77195, 32977, 59614, 101860, 15120, 105260, 77195, 16556, 5486, 125261, 102446, 70203, 124863, 33655, 58942, 107515, 125939, 18904, 16144, 126465, 15682, 13177, 396, 25287, 112028, 105260, 106053, 23187, 10646, 103351, 105879, 5486, 17790, 17161, 124905, 58942, 79721, 29295, 5486, 78244, 102158, 112535, 17790, 17161, 15682, 81742, 48915, 44416, 103664, 29295, 43240, 117714, 38641, 9174, 827, 220, 20, 13, 123011, 62004, 198, 17620, 58699, 238, 117120, 22649, 112987, 85791, 103171, 102181, 50834, 24273, 29295, 30591, 76947, 108048, 108422, 33121, 101544, 32938, 106649, 32938, 29295, 30591, 76947, 5486, 109431, 102769, 20230, 33655, 16995, 113334, 123207, 16995, 76622, 107515, 9174, 121159, 15682, 112073, 16144, 119046, 56438, 53953, 26854, 105879, 5486, 127177, 107707, 44971, 115882, 20230, 114146, 30369, 109215, 32977, 57903, 33541, 9174, 113404, 17905, 16144, 118729, 71289, 121101, 17905, 16144, 31634, 14558, 113468, 120953, 102181, 102334, 118881, 29295, 91774, 126172, 118544, 5486, 122489, 20230, 113420, 58942, 30297, 30369, 32149, 32977, 104721, 116547, 33541, 9174, 32307, 27327, 16144, 113925, 15682, 124897, 29295, 5486, 102208, 37026, 95221, 116825, 107441, 102181, 102532, 23039, 50834, 17129, 109954, 9174, 51330, 77219, 29295, 99849, 116421, 107461, 52414, 101983, 104984, 106515, 16995, 38641, 1811, 128001, 128000, 123532, 101275, 102351, 29295, 121410, 117073, 121101, 30512, 126574, 44971, 115882, 16556, 30250, 224, 23039, 124545, 103846, 102052, 5486, 107079, 33014, 9554, 5486, 53900, 113116, 109904, 113614, 109205, 69978, 30512, 124490, 32149, 17663, 105908, 103082, 107515, 113637, 105933, 113614, 109205, 69978, 114792, 106307, 124545, 103846, 105352, 5486, 126356, 112950, 21990, 16144, 104195, 33208, 30512, 108008, 20230, 8239, 114503, 9554, 19732, 78244, 105262, 123253, 1811, 123532, 101275, 102351, 16144, 102756, 105048, 102803, 52591, 66953, 119930, 30512, 109205, 69978, 124545, 113009, 107734, 80195, 59739, 102923, 105226, 5486, 53900, 64209, 96356, 16144, 37823, 123646, 116219, 107294, 105722, 30369, 105933, 102923, 105226, 30512, 43240, 47884, 109466, 31431, 104526, 104004, 100909, 112212, 5486, 123532, 101275, 102351, 16144, 113614, 109205, 69978, 16144, 74482, 110408, 15024, 105352, 59739, 105722, 31431, 33541, 1811, 123532, 101275, 102351, 16144, 22023, 64209, 29295, 55999, 20230, 113614, 109904, 102944, 127303, 104984, 5486, 121101, 30512, 126120, 96455, 114652, 30250, 224, 23039, 15024, 126172, 115737, 31431, 33541, 9174, 126356, 112950, 21990, 125175, 30512, 105843, 103350, 33208, 124545, 118733, 5486, 123532, 101275, 102351, 16144, 112624, 102780, 27479, 5486, 53900, 103926, 100815, 96455, 16144, 70141, 17905, 32977, 45736, 115464, 118733, 109954, 1811, 108936, 112535, 17039, 124305, 61337, 102351, 16144, 17701, 61337, 18, 8107, 123470, 23187, 100815, 96455, 15682, 22, 111017, 108680, 19732, 117952, 33121 ]
[ 100481, 38144, 5486, 18, 111017, 108680, 15682, 18, 8107, 23897, 32943, 20230, 106627, 107430, 39926, 114732, 102677, 113702, 125334, 127280, 1811, 43240, 119064, 82973, 71289, 47260, 71634, 119707, 107441, 72342, 42891, 32149, 47884, 17792, 103234, 30512, 101662, 13153, 56051, 16144, 105352, 32149, 124233, 121140, 5486, 103856, 16995, 38574, 106090, 16556, 106627, 107430, 15024, 54926, 30926, 15682, 5486, 114435, 125030, 114598, 108631, 16995, 100909, 38641, 1811, 108695, 30512, 121355, 109315, 114667, 15682, 17792, 113468, 108901, 109020, 102944, 16144, 5486, 8239, 112, 122502, 117501, 16144, 109161, 30813, 29295, 106627, 107430, 107294, 105722, 30369, 126465, 15682, 108008, 20230, 43240, 47884, 91774, 102204, 33541, 9174, 104622, 106241, 26854, 17792, 103234, 29295, 75293, 110053, 16144, 126521, 43511, 30046, 125030, 124195, 114732, 125396, 32977, 27384, 119178, 113727, 110071, 123253, 1811, 123532, 101275, 102351, 29295, 109215, 19732, 112391, 30369, 126356, 112950, 21990, 125175, 30512, 106839, 17701, 54926, 105908, 103082, 104984, 5486, 108695, 113115, 54926, 22023, 117943, 34171, 71289, 103926, 100815, 29295, 45736, 109709, 5486, 106627, 107430, 96455, 16144, 103167, 17297, 105352, 59739, 105722, 31431, 33541, 1811, 60358, 8107, 77181, 122502, 50834, 24273, 119254, 16144, 117375, 32977, 57903, 5486, 126356, 112950, 21990, 125175, 20230, 26130, 48634, 54926, 114435, 29295, 115079, 58942, 59739, 59739, 57903, 33541, 1811, 67645, 120950, 105843, 103350, 27479, 107407, 104865, 30512, 37026, 61337, 16144, 52884, 93488, 103857, 94550, 20230, 76706, 11883, 109768, 104533, 78244, 105262, 123253, 9174, 106222, 109904, 22023, 117943, 34171, 16144, 122635, 105352, 59739, 105722, 31431, 33541, 1811, 128001, 128000, 102663, 39880, 68759, 102750, 108176, 103846, 102052, 5486, 103242, 109519, 53283, 109375, 71289, 103005, 55228, 231, 60868, 113649, 117718, 53283, 109375, 32977, 109215, 120572, 101832, 9174, 114363, 103722, 48915, 16144, 53283, 109375, 76947, 26854, 107188, 32149, 53508, 231, 104195, 54926, 112973, 27384, 104721, 1811, 126521, 53508, 231, 104195, 25333, 119703, 123772, 33503, 95532, 102663, 39880, 68759, 102750, 106081, 111186, 16144, 20834, 104482, 119318, 116310, 15682, 5486, 75910, 106528, 122521, 17620, 102212, 19732, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 20230, 17620, 32149, 33121, 33541, 9174, 51330, 117591, 5486, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 5486, 33563, 105298, 103242, 109519, 114556, 78183, 30369, 53283, 109375, 19732, 103005, 55228, 231, 125175, 123863, 53283, 109375, 29295, 99397, 123671, 33541, 9174, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 122692, 53283, 109375, 15682, 5486, 103087, 35083, 71289, 114731, 102781, 61826, 113468, 53283, 109375, 16144, 115598, 31431, 125334, 126172, 47884, 5486, 17792, 113468, 15682, 85707, 107436, 48864, 104369, 111831, 32977, 101182, 123253, 9174, 122571, 122412, 114731, 102781, 29295, 101544, 102518, 105879, 5486, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 15682, 53283, 103836, 105908, 43240, 102518, 38641, 9174, 122571, 5486, 103005, 55228, 231, 125175, 17620, 102212, 15682, 104409, 28713, 44915, 29295, 43240, 47884, 5486, 107202, 8239, 112, 56051, 78183, 9174, 103087, 35083, 113468, 15682, 5486, 32977, 107173, 19732, 69978, 103836, 53283, 109375, 16556, 117271, 108608, 111831, 32977, 57903, 5486, 104662, 39926, 111108, 87844, 27479, 16144, 126574, 17620, 102212, 111769, 103846, 112160, 102404, 127706, 32977, 113871, 77181, 124897, 9174, 51330, 77219, 77181, 5486, 102663, 39880, 68759, 102750, 106081, 111186, 20230, 127706, 54926, 124122, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 53508, 231, 104195, 25333, 30512, 50520, 111, 106624, 50338, 108323, 78434, 9174, 120098, 30512, 110408, 30813, 107290, 53508, 231, 104195, 15024, 112160, 102404, 127706, 30512, 30832, 64467, 103801, 109954, 9174, 12, 111505, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 107963, 31634, 198, 12, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 120098, 198, 12, 109609, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 16144, 120098, 198, 12, 34676, 30832, 64467, 72342, 6447, 15120, 102404, 127706, 11199, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 126120, 96455, 109904, 53508, 231, 104195, 25333, 198, 12, 220, 123011, 62004, 5232, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 103572, 38574, 16144, 117876, 19732, 117139, 107436, 112854, 58942, 101200, 198, 567, 111505, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 107963, 31634, 198, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 5486, 103242, 109519, 71289, 103005, 55228, 231, 123863, 53283, 109375, 30512, 99397, 30297, 17620, 102212, 38641, 9174, 102663, 39880, 68759, 102750, 106081, 111186, 77181, 5486, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 16556, 508, 99397, 5486, 103005, 55228, 231, 125175, 17620, 102212, 16556, 868, 99397, 16144, 40862, 82420, 1758, 99397, 125334, 104482, 84389, 33541, 9174, 20834, 104482, 29295, 17, 17620, 102212, 20230, 78183, 32149, 115032, 104468, 5486, 679, 20, 8107, 117382, 15682, 118551, 103087, 35083, 112212, 70626, 30832, 103048, 21418, 122291, 103846, 38641, 9174, 112599, 77181, 5486, 103087, 35083, 111848, 70626, 30832, 103048, 21418, 15682, 103470, 5486, 1758, 99397, 122617, 30512, 113925, 21105, 103, 118145, 26854, 31431, 107515, 9174, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 19732, 103005, 55228, 231, 125175, 17620, 102212, 77693, 108422, 33121, 16144, 107963, 31634, 15682, 33671, 16144, 121640, 38641, 9174, 14711, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 198, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 15682, 122603, 106036, 95, 30046, 71289, 108502, 104698, 114792, 59739, 17792, 30512, 122521, 109768, 47884, 30297, 58942, 16556, 5486, 53283, 76947, 33334, 47884, 125231, 103242, 109519, 71289, 75910, 106528, 125175, 123863, 17620, 102212, 38641, 9174, 116436, 103429, 114556, 78183, 30369, 20834, 104482, 29295, 127181, 102944, 16144, 122603, 106036, 95, 30046, 20230, 127181, 116436, 111694, 29295, 36668, 117158, 104482, 107001, 105879, 5486, 120098, 30512, 110408, 30813, 107290, 53508, 231, 104195, 126693, 108048, 108680, 111108, 102800, 17620, 102212, 77181, 124897, 9174, 19000, 110362, 103242, 109519, 123863, 109606, 32977, 118430, 20834, 101427, 122, 70141, 117083, 103846, 5486, 116436, 103429, 19732, 109753, 16556, 112854, 107290, 33334, 126145, 57980, 117201, 109954, 9174, 14711, 109609, 55228, 231, 125175, 17620, 102212, 198, 103005, 55228, 231, 125175, 17620, 102212, 77181, 5486, 102663, 39880, 68759, 102750, 29295, 53283, 76947, 33334, 47884, 125231, 103005, 55228, 231, 114556, 89046, 54926, 122521, 71289, 125175, 123863, 109606, 125334, 104482, 84389, 33541, 9174, 107740, 30046, 114556, 78183, 107462, 47884, 30297, 58942, 16556, 109215, 117282, 50021, 111813, 28190, 30177, 112113, 71289, 102741, 38248, 115, 68581, 33710, 102756, 105048, 5486, 118482, 30046, 71289, 102923, 102332, 123863, 109606, 29295, 43240, 47884, 20834, 104482, 84389, 33541, 9174, 118551, 103087, 35083, 113468, 15682, 115847, 103296, 97518, 78183, 30369, 100909, 16144, 104435, 125175, 71289, 53283, 109375, 29295, 43240, 47884, 96412, 17129, 104028, 103846, 5486, 114715, 111108, 102800, 19732, 112391, 30369, 17792, 32977, 107991, 32149, 110241, 33121, 107515, 9174, 75910, 106528, 107430, 118816, 5486, 112424, 71289, 125525, 23039, 30297, 122521, 105226, 107809, 102052, 5486, 85707, 107436, 109835, 104028, 102944, 32977, 57903, 33541, 101832, 9174, 37087, 38144, 30512, 113954, 119607, 19732, 112990, 82973, 29295, 32149, 117295, 105879, 5486, 109606, 30512, 50338, 50834, 106272, 101557, 96, 33121, 100481, 126145, 5486, 126120, 96455, 112535, 53508, 231, 104195, 125545, 57980, 9174, 103188, 86436, 99397, 30512, 50338, 50834, 106272, 44915, 20230, 101557, 96, 33121, 100481, 50834, 5486, 83747, 21105, 248, 59739, 113954, 30512, 103130, 62004, 104533, 57980, 117201, 109954, 9174, 567, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 120098, 198, 51330, 111831, 77181, 5486, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 120098, 109853, 5486, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 9174, 14711, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 198, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 15682, 5486, 33671, 16144, 22, 59739, 20230, 17620, 76622, 102204, 33541, 9174, 9458, 116436, 103429, 71289, 108502, 104698, 123863, 75146, 17920, 236, 109904, 53283, 109375, 10110, 27452, 5232, 45736, 104473, 121819, 5486, 117587, 126017, 103429, 5486, 104736, 53283, 111571, 104309, 23954, 9458, 103242, 109519, 101513, 97518, 16144, 104091, 104770, 71289, 107734, 111017, 10110, 27452, 5232, 122412, 5486, 107167, 122842, 5486, 120824, 99397, 52030, 106528, 106826, 38248, 115, 78205, 16073, 104309, 23954, 9458, 103242, 109519, 33563, 117126, 114305, 71289, 75910, 106528, 33563, 117126, 114305, 16144, 75146, 17920, 236, 53283, 109375, 198, 9458, 113614, 120761, 64889, 71289, 111800, 112984, 109853, 16144, 53283, 109375, 10110, 27452, 5232, 111800, 112984, 16144, 104091, 104770, 5486, 113702, 16144, 98499, 64121, 24273, 104309, 23954, 9458, 117434, 21403, 97, 123863, 53283, 109375, 10110, 27452, 5232, 117434, 16144, 104091, 104770, 5486, 106966, 113266, 5486, 115320, 64121, 114146, 104309, 23954, 9458, 103242, 109519, 23039, 101399, 123863, 53283, 109375, 10110, 27452, 5232, 28542, 73597, 112, 5486, 119732, 122258, 60868, 76171, 108867, 23187, 5486, 109832, 114218, 117120, 22324, 104309, 23954, 9458, 19000, 110362, 113245, 103242, 109519, 40452, 123863, 53283, 109375, 198, 20834, 104482, 107001, 119318, 116310, 15682, 108285, 16995, 102944, 16144, 122603, 106036, 95, 30046, 123863, 53283, 109375, 116771, 30512, 99397, 126832, 103846, 5486, 112854, 105262, 119318, 116310, 15682, 77693, 108680, 43240, 47884, 124897, 9174, 45736, 106036, 95, 30046, 123863, 103242, 109519, 53283, 109375, 30512, 43167, 105363, 20230, 53508, 231, 104195, 112990, 57980, 117201, 109954, 9174, 14711, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 118430, 20834, 111831, 19732, 48864, 108710, 120098, 198, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 16556, 118430, 20834, 107001, 111831, 15682, 5486, 20, 59739, 57903, 33541, 9174, 77693, 108422, 33121, 16144, 48864, 108710, 120098, 30512, 110408, 30813, 107290, 5486, 53508, 231, 104195, 109768, 50834, 17129, 109954, 9174, 827, 108477, 235, 53283, 111571, 198, 104736, 53283, 111571, 107809, 72661, 5486, 107908, 103223, 126507, 68759, 11972, 25287, 104736, 53283, 111571, 19732, 104473, 36651, 34171, 104736, 53283, 111571, 16144, 113385, 71289, 66378, 17599, 112, 123863, 109606, 15682, 118430, 20834, 101427, 122, 70141, 20230, 57903, 33541, 9174, 53900, 5486, 105268, 8107, 34171, 104736, 53283, 111571, 71289, 33, 5119, 35, 5486, 104736, 53283, 111571, 102663, 39880, 5486, 104736, 53283, 111571, 103359, 105226, 123863, 109606, 32977, 103424, 47884, 20834, 33541, 105879, 5486, 21105, 96, 107277, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 75910, 106528, 102321, 75267, 16556, 122502, 47884, 17792, 127303, 104984, 5486, 104736, 53283, 111571, 120332, 20230, 109835, 104028, 101513, 38093, 29295, 43240, 102334, 62004, 5486, 113954, 15024, 126172, 16995, 111831, 32977, 127181, 38641, 57980, 9174, 827, 105864, 103, 99397, 52030, 106528, 198, 121410, 8107, 16, 99397, 15682, 20834, 104482, 110731, 112973, 5486, 120824, 99397, 52030, 106528, 16144, 109606, 38641, 9174, 120824, 99397, 52030, 106528, 16144, 44915, 5486, 103242, 109519, 33563, 117126, 19732, 75910, 106528, 33563, 117126, 16144, 116690, 5486, 75910, 106528, 78943, 100845, 105, 16144, 70203, 23187, 31634, 14558, 29295, 114652, 20834, 104482, 84389, 33541, 9174, 75910, 106528, 107430, 16144, 107803, 5486, 120824, 99397, 52030, 106528, 20230, 109835, 104028, 101513, 38093, 29295, 83747, 100604, 103846, 5486, 44915, 109853, 21105, 96, 107277, 48864, 104127, 33334, 50834, 17129, 109954, 9174, 120824, 99397, 52030, 106528, 15682, 5486, 103242, 109519, 33563, 117126, 16556, 104908, 107001, 107803, 19732, 5486, 75910, 106528, 33563, 117126, 16556, 104908, 107001, 107803, 115991, 33541, 9174, 77693, 108422, 33121, 16144, 77195, 30512, 113954, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 827, 220, 75910, 106528, 92877, 17792, 33563, 105298, 102923, 102332, 198, 75910, 106528, 92877, 17792, 33563, 105298, 102923, 102332, 123863, 109606, 77181, 5486, 75910, 106528, 78943, 100845, 105, 16144, 70203, 23187, 31634, 14558, 71289, 104908, 54926, 125175, 44915, 29295, 114652, 20834, 104482, 116216, 61689, 9174, 66378, 20230, 5486, 127348, 75146, 107253, 19732, 103768, 112167, 75146, 107253, 15682, 105184, 103350, 20230, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 827, 220, 75910, 106528, 103242, 109519, 94923, 198, 75910, 106528, 103242, 109519, 94923, 109853, 15682, 115847, 103296, 127348, 75146, 107253, 71289, 102923, 102332, 75146, 107253, 123863, 109606, 29295, 127181, 101427, 122, 70141, 115991, 79721, 9174, 37271, 74482, 15682, 5486, 75910, 106528, 78943, 100845, 105, 16144, 70203, 23187, 31634, 14558, 123863, 109606, 32977, 20834, 38144, 47884, 104533, 103911, 101067, 84389, 33541, 9174, 75910, 106528, 92877, 17792, 33563, 105298, 102923, 102332, 110792, 108010, 114774, 5486, 71567, 254, 25287, 19732, 71567, 94, 25287, 16144, 50021, 108010, 28542, 30512, 21105, 96, 107277, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 827, 74662, 110362, 113245, 103242, 109519, 40452, 198, 19000, 110362, 113245, 103242, 109519, 40452, 15682, 122603, 106036, 95, 112919, 116436, 103429, 20230, 33671, 117201, 43240, 47884, 20834, 104482, 116216, 61689, 9174, 19000, 110362, 102099, 26130, 105644, 71289, 17792, 49792, 108950, 98871, 123863, 108729, 9554, 44915, 30512, 21105, 96, 107277, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 45736, 106036, 95, 30046, 20230, 127181, 116436, 103429, 19732, 109753, 16556, 112854, 58942, 104533, 5486, 113954, 15024, 126172, 16995, 38641, 57980, 9174, 567, 109609, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 16144, 120098, 198, 103005, 55228, 231, 125175, 17620, 102212, 77181, 5486, 103005, 55228, 231, 39276, 125175, 123863, 111044, 108285, 16995, 53283, 109375, 29295, 99397, 123671, 33541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 100481, 38144, 5486, 18, 111017, 108680, 15682, 18, 8107, 23897, 32943, 20230, 106627, 107430, 39926, 114732, 102677, 113702, 125334, 127280, 1811, 43240, 119064, 82973, 71289, 47260, 71634, 119707, 107441, 72342, 42891, 32149, 47884, 17792, 103234, 30512, 101662, 13153, 56051, 16144, 105352, 32149, 124233, 121140, 5486, 103856, 16995, 38574, 106090, 16556, 106627, 107430, 15024, 54926, 30926, 15682, 5486, 114435, 125030, 114598, 108631, 16995, 100909, 38641, 1811, 108695, 30512, 121355, 109315, 114667, 15682, 17792, 113468, 108901, 109020, 102944, 16144, 5486, 8239, 112, 122502, 117501, 16144, 109161, 30813, 29295, 106627, 107430, 107294, 105722, 30369, 126465, 15682, 108008, 20230, 43240, 47884, 91774, 102204, 33541, 9174, 104622, 106241, 26854, 17792, 103234, 29295, 75293, 110053, 16144, 126521, 43511, 30046, 125030, 124195, 114732, 125396, 32977, 27384, 119178, 113727, 110071, 123253, 1811, 123532, 101275, 102351, 29295, 109215, 19732, 112391, 30369, 126356, 112950, 21990, 125175, 30512, 106839, 17701, 54926, 105908, 103082, 104984, 5486, 108695, 113115, 54926, 22023, 117943, 34171, 71289, 103926, 100815, 29295, 45736, 109709, 5486, 106627, 107430, 96455, 16144, 103167, 17297, 105352, 59739, 105722, 31431, 33541, 1811, 60358, 8107, 77181, 122502, 50834, 24273, 119254, 16144, 117375, 32977, 57903, 5486, 126356, 112950, 21990, 125175, 20230, 26130, 48634, 54926, 114435, 29295, 115079, 58942, 59739, 59739, 57903, 33541, 1811, 67645, 120950, 105843, 103350, 27479, 107407, 104865, 30512, 37026, 61337, 16144, 52884, 93488, 103857, 94550, 20230, 76706, 11883, 109768, 104533, 78244, 105262, 123253, 9174, 106222, 109904, 22023, 117943, 34171, 16144, 122635, 105352, 59739, 105722, 31431, 33541, 1811, 128001, 128000, 102663, 39880, 68759, 102750, 108176, 103846, 102052, 5486, 103242, 109519, 53283, 109375, 71289, 103005, 55228, 231, 60868, 113649, 117718, 53283, 109375, 32977, 109215, 120572, 101832, 9174, 114363, 103722, 48915, 16144, 53283, 109375, 76947, 26854, 107188, 32149, 53508, 231, 104195, 54926, 112973, 27384, 104721, 1811, 126521, 53508, 231, 104195, 25333, 119703, 123772, 33503, 95532, 102663, 39880, 68759, 102750, 106081, 111186, 16144, 20834, 104482, 119318, 116310, 15682, 5486, 75910, 106528, 122521, 17620, 102212, 19732, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 20230, 17620, 32149, 33121, 33541, 9174, 51330, 117591, 5486, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 5486, 33563, 105298, 103242, 109519, 114556, 78183, 30369, 53283, 109375, 19732, 103005, 55228, 231, 125175, 123863, 53283, 109375, 29295, 99397, 123671, 33541, 9174, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 122692, 53283, 109375, 15682, 5486, 103087, 35083, 71289, 114731, 102781, 61826, 113468, 53283, 109375, 16144, 115598, 31431, 125334, 126172, 47884, 5486, 17792, 113468, 15682, 85707, 107436, 48864, 104369, 111831, 32977, 101182, 123253, 9174, 122571, 122412, 114731, 102781, 29295, 101544, 102518, 105879, 5486, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 15682, 53283, 103836, 105908, 43240, 102518, 38641, 9174, 122571, 5486, 103005, 55228, 231, 125175, 17620, 102212, 15682, 104409, 28713, 44915, 29295, 43240, 47884, 5486, 107202, 8239, 112, 56051, 78183, 9174, 103087, 35083, 113468, 15682, 5486, 32977, 107173, 19732, 69978, 103836, 53283, 109375, 16556, 117271, 108608, 111831, 32977, 57903, 5486, 104662, 39926, 111108, 87844, 27479, 16144, 126574, 17620, 102212, 111769, 103846, 112160, 102404, 127706, 32977, 113871, 77181, 124897, 9174, 51330, 77219, 77181, 5486, 102663, 39880, 68759, 102750, 106081, 111186, 20230, 127706, 54926, 124122, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 53508, 231, 104195, 25333, 30512, 50520, 111, 106624, 50338, 108323, 78434, 9174, 120098, 30512, 110408, 30813, 107290, 53508, 231, 104195, 15024, 112160, 102404, 127706, 30512, 30832, 64467, 103801, 109954, 9174, 12, 111505, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 107963, 31634, 198, 12, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 120098, 198, 12, 109609, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 16144, 120098, 198, 12, 34676, 30832, 64467, 72342, 6447, 15120, 102404, 127706, 11199, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 126120, 96455, 109904, 53508, 231, 104195, 25333, 198, 12, 220, 123011, 62004, 5232, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 103572, 38574, 16144, 117876, 19732, 117139, 107436, 112854, 58942, 101200, 198, 567, 111505, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 107963, 31634, 198, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 5486, 103242, 109519, 71289, 103005, 55228, 231, 123863, 53283, 109375, 30512, 99397, 30297, 17620, 102212, 38641, 9174, 102663, 39880, 68759, 102750, 106081, 111186, 77181, 5486, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 16556, 508, 99397, 5486, 103005, 55228, 231, 125175, 17620, 102212, 16556, 868, 99397, 16144, 40862, 82420, 1758, 99397, 125334, 104482, 84389, 33541, 9174, 20834, 104482, 29295, 17, 17620, 102212, 20230, 78183, 32149, 115032, 104468, 5486, 679, 20, 8107, 117382, 15682, 118551, 103087, 35083, 112212, 70626, 30832, 103048, 21418, 122291, 103846, 38641, 9174, 112599, 77181, 5486, 103087, 35083, 111848, 70626, 30832, 103048, 21418, 15682, 103470, 5486, 1758, 99397, 122617, 30512, 113925, 21105, 103, 118145, 26854, 31431, 107515, 9174, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 19732, 103005, 55228, 231, 125175, 17620, 102212, 77693, 108422, 33121, 16144, 107963, 31634, 15682, 33671, 16144, 121640, 38641, 9174, 14711, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 198, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 15682, 122603, 106036, 95, 30046, 71289, 108502, 104698, 114792, 59739, 17792, 30512, 122521, 109768, 47884, 30297, 58942, 16556, 5486, 53283, 76947, 33334, 47884, 125231, 103242, 109519, 71289, 75910, 106528, 125175, 123863, 17620, 102212, 38641, 9174, 116436, 103429, 114556, 78183, 30369, 20834, 104482, 29295, 127181, 102944, 16144, 122603, 106036, 95, 30046, 20230, 127181, 116436, 111694, 29295, 36668, 117158, 104482, 107001, 105879, 5486, 120098, 30512, 110408, 30813, 107290, 53508, 231, 104195, 126693, 108048, 108680, 111108, 102800, 17620, 102212, 77181, 124897, 9174, 19000, 110362, 103242, 109519, 123863, 109606, 32977, 118430, 20834, 101427, 122, 70141, 117083, 103846, 5486, 116436, 103429, 19732, 109753, 16556, 112854, 107290, 33334, 126145, 57980, 117201, 109954, 9174, 14711, 109609, 55228, 231, 125175, 17620, 102212, 198, 103005, 55228, 231, 125175, 17620, 102212, 77181, 5486, 102663, 39880, 68759, 102750, 29295, 53283, 76947, 33334, 47884, 125231, 103005, 55228, 231, 114556, 89046, 54926, 122521, 71289, 125175, 123863, 109606, 125334, 104482, 84389, 33541, 9174, 107740, 30046, 114556, 78183, 107462, 47884, 30297, 58942, 16556, 109215, 117282, 50021, 111813, 28190, 30177, 112113, 71289, 102741, 38248, 115, 68581, 33710, 102756, 105048, 5486, 118482, 30046, 71289, 102923, 102332, 123863, 109606, 29295, 43240, 47884, 20834, 104482, 84389, 33541, 9174, 118551, 103087, 35083, 113468, 15682, 115847, 103296, 97518, 78183, 30369, 100909, 16144, 104435, 125175, 71289, 53283, 109375, 29295, 43240, 47884, 96412, 17129, 104028, 103846, 5486, 114715, 111108, 102800, 19732, 112391, 30369, 17792, 32977, 107991, 32149, 110241, 33121, 107515, 9174, 75910, 106528, 107430, 118816, 5486, 112424, 71289, 125525, 23039, 30297, 122521, 105226, 107809, 102052, 5486, 85707, 107436, 109835, 104028, 102944, 32977, 57903, 33541, 101832, 9174, 37087, 38144, 30512, 113954, 119607, 19732, 112990, 82973, 29295, 32149, 117295, 105879, 5486, 109606, 30512, 50338, 50834, 106272, 101557, 96, 33121, 100481, 126145, 5486, 126120, 96455, 112535, 53508, 231, 104195, 125545, 57980, 9174, 103188, 86436, 99397, 30512, 50338, 50834, 106272, 44915, 20230, 101557, 96, 33121, 100481, 50834, 5486, 83747, 21105, 248, 59739, 113954, 30512, 103130, 62004, 104533, 57980, 117201, 109954, 9174, 567, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 120098, 198, 51330, 111831, 77181, 5486, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 120098, 109853, 5486, 50520, 111, 106624, 91774, 100481, 50834, 17129, 109954, 9174, 14711, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 198, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 15682, 5486, 33671, 16144, 22, 59739, 20230, 17620, 76622, 102204, 33541, 9174, 9458, 116436, 103429, 71289, 108502, 104698, 123863, 75146, 17920, 236, 109904, 53283, 109375, 10110, 27452, 5232, 45736, 104473, 121819, 5486, 117587, 126017, 103429, 5486, 104736, 53283, 111571, 104309, 23954, 9458, 103242, 109519, 101513, 97518, 16144, 104091, 104770, 71289, 107734, 111017, 10110, 27452, 5232, 122412, 5486, 107167, 122842, 5486, 120824, 99397, 52030, 106528, 106826, 38248, 115, 78205, 16073, 104309, 23954, 9458, 103242, 109519, 33563, 117126, 114305, 71289, 75910, 106528, 33563, 117126, 114305, 16144, 75146, 17920, 236, 53283, 109375, 198, 9458, 113614, 120761, 64889, 71289, 111800, 112984, 109853, 16144, 53283, 109375, 10110, 27452, 5232, 111800, 112984, 16144, 104091, 104770, 5486, 113702, 16144, 98499, 64121, 24273, 104309, 23954, 9458, 117434, 21403, 97, 123863, 53283, 109375, 10110, 27452, 5232, 117434, 16144, 104091, 104770, 5486, 106966, 113266, 5486, 115320, 64121, 114146, 104309, 23954, 9458, 103242, 109519, 23039, 101399, 123863, 53283, 109375, 10110, 27452, 5232, 28542, 73597, 112, 5486, 119732, 122258, 60868, 76171, 108867, 23187, 5486, 109832, 114218, 117120, 22324, 104309, 23954, 9458, 19000, 110362, 113245, 103242, 109519, 40452, 123863, 53283, 109375, 198, 20834, 104482, 107001, 119318, 116310, 15682, 108285, 16995, 102944, 16144, 122603, 106036, 95, 30046, 123863, 53283, 109375, 116771, 30512, 99397, 126832, 103846, 5486, 112854, 105262, 119318, 116310, 15682, 77693, 108680, 43240, 47884, 124897, 9174, 45736, 106036, 95, 30046, 123863, 103242, 109519, 53283, 109375, 30512, 43167, 105363, 20230, 53508, 231, 104195, 112990, 57980, 117201, 109954, 9174, 14711, 111505, 105298, 103242, 109519, 125175, 17620, 102212, 16144, 118430, 20834, 111831, 19732, 48864, 108710, 120098, 198, 33563, 105298, 103242, 109519, 125175, 17620, 102212, 16556, 118430, 20834, 107001, 111831, 15682, 5486, 20, 59739, 57903, 33541, 9174, 77693, 108422, 33121, 16144, 48864, 108710, 120098, 30512, 110408, 30813, 107290, 5486, 53508, 231, 104195, 109768, 50834, 17129, 109954, 9174, 827, 108477, 235, 53283, 111571, 198, 104736, 53283, 111571, 107809, 72661, 5486, 107908, 103223, 126507, 68759, 11972, 25287, 104736, 53283, 111571, 19732, 104473, 36651, 34171, 104736, 53283, 111571, 16144, 113385, 71289, 66378, 17599, 112, 123863, 109606, 15682, 118430, 20834, 101427, 122, 70141, 20230, 57903, 33541, 9174, 53900, 5486, 105268, 8107, 34171, 104736, 53283, 111571, 71289, 33, 5119, 35, 5486, 104736, 53283, 111571, 102663, 39880, 5486, 104736, 53283, 111571, 103359, 105226, 123863, 109606, 32977, 103424, 47884, 20834, 33541, 105879, 5486, 21105, 96, 107277, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 75910, 106528, 102321, 75267, 16556, 122502, 47884, 17792, 127303, 104984, 5486, 104736, 53283, 111571, 120332, 20230, 109835, 104028, 101513, 38093, 29295, 43240, 102334, 62004, 5486, 113954, 15024, 126172, 16995, 111831, 32977, 127181, 38641, 57980, 9174, 827, 105864, 103, 99397, 52030, 106528, 198, 121410, 8107, 16, 99397, 15682, 20834, 104482, 110731, 112973, 5486, 120824, 99397, 52030, 106528, 16144, 109606, 38641, 9174, 120824, 99397, 52030, 106528, 16144, 44915, 5486, 103242, 109519, 33563, 117126, 19732, 75910, 106528, 33563, 117126, 16144, 116690, 5486, 75910, 106528, 78943, 100845, 105, 16144, 70203, 23187, 31634, 14558, 29295, 114652, 20834, 104482, 84389, 33541, 9174, 75910, 106528, 107430, 16144, 107803, 5486, 120824, 99397, 52030, 106528, 20230, 109835, 104028, 101513, 38093, 29295, 83747, 100604, 103846, 5486, 44915, 109853, 21105, 96, 107277, 48864, 104127, 33334, 50834, 17129, 109954, 9174, 120824, 99397, 52030, 106528, 15682, 5486, 103242, 109519, 33563, 117126, 16556, 104908, 107001, 107803, 19732, 5486, 75910, 106528, 33563, 117126, 16556, 104908, 107001, 107803, 115991, 33541, 9174, 77693, 108422, 33121, 16144, 77195, 30512, 113954, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 827, 220, 75910, 106528, 92877, 17792, 33563, 105298, 102923, 102332, 198, 75910, 106528, 92877, 17792, 33563, 105298, 102923, 102332, 123863, 109606, 77181, 5486, 75910, 106528, 78943, 100845, 105, 16144, 70203, 23187, 31634, 14558, 71289, 104908, 54926, 125175, 44915, 29295, 114652, 20834, 104482, 116216, 61689, 9174, 66378, 20230, 5486, 127348, 75146, 107253, 19732, 103768, 112167, 75146, 107253, 15682, 105184, 103350, 20230, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 827, 220, 75910, 106528, 103242, 109519, 94923, 198, 75910, 106528, 103242, 109519, 94923, 109853, 15682, 115847, 103296, 127348, 75146, 107253, 71289, 102923, 102332, 75146, 107253, 123863, 109606, 29295, 127181, 101427, 122, 70141, 115991, 79721, 9174, 37271, 74482, 15682, 5486, 75910, 106528, 78943, 100845, 105, 16144, 70203, 23187, 31634, 14558, 123863, 109606, 32977, 20834, 38144, 47884, 104533, 103911, 101067, 84389, 33541, 9174, 75910, 106528, 92877, 17792, 33563, 105298, 102923, 102332, 110792, 108010, 114774, 5486, 71567, 254, 25287, 19732, 71567, 94, 25287, 16144, 50021, 108010, 28542, 30512, 21105, 96, 107277, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 827, 74662, 110362, 113245, 103242, 109519, 40452, 198, 19000, 110362, 113245, 103242, 109519, 40452, 15682, 122603, 106036, 95, 112919, 116436, 103429, 20230, 33671, 117201, 43240, 47884, 20834, 104482, 116216, 61689, 9174, 19000, 110362, 102099, 26130, 105644, 71289, 17792, 49792, 108950, 98871, 123863, 108729, 9554, 44915, 30512, 21105, 96, 107277, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 45736, 106036, 95, 30046, 20230, 127181, 116436, 103429, 19732, 109753, 16556, 112854, 58942, 104533, 5486, 113954, 15024, 126172, 16995, 38641, 57980, 9174, 567, 109609, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 16144, 120098, 198, 103005, 55228, 231, 125175, 17620, 102212, 77181, 5486, 103005, 55228, 231, 39276, 125175, 123863, 111044, 108285, 16995, 53283, 109375, 29295, 99397, 123671, 33541 ]
[ 9174, 51330, 111831, 77181, 5486, 103005, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 16144, 120098, 30512, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 109609, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 198, 103005, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 15682, 5486, 33671, 16144, 19, 59739, 20230, 17620, 76622, 102204, 33541, 9174, 9458, 102741, 38248, 115, 68581, 33710, 102756, 105048, 198, 9458, 50021, 111813, 28190, 30177, 112113, 198, 9458, 97518, 89046, 120328, 114305, 198, 9458, 75910, 106528, 125175, 198, 97518, 89046, 120328, 114305, 102052, 5486, 33671, 16144, 23, 104091, 104770, 16144, 114305, 123863, 109606, 125334, 104482, 84389, 33541, 9174, 108502, 104698, 30046, 103005, 55228, 231, 114305, 96555, 104654, 123050, 114305, 96555, 104654, 110482, 91739, 106, 30046, 37026, 80195, 122521, 114305, 96555, 74482, 23538, 45736, 106036, 95, 30046, 103242, 109519, 114305, 96555, 45736, 106036, 95, 30046, 84264, 238, 75293, 103181, 82533, 25333, 96555, 9080, 40053, 104654, 37026, 80195, 122521, 118482, 96555, 13153, 8107, 74482, 91774, 114305, 96555, 121568, 108134, 123050, 25333, 198, 20834, 104482, 119318, 116310, 20230, 96412, 17129, 104028, 75910, 106528, 125175, 15682, 5486, 717, 104091, 104770, 57903, 33541, 9174, 120824, 99397, 75910, 106528, 96555, 120824, 99397, 17701, 118959, 75910, 106528, 96555, 33035, 32938, 75910, 106528, 96555, 106649, 23538, 17701, 32938, 104654, 75910, 106528, 96555, 66378, 23187, 102923, 102332, 17701, 104157, 30046, 104654, 75910, 106528, 96555, 103005, 55228, 231, 11883, 77913, 96555, 126783, 23226, 23951, 96555, 103309, 56965, 117271, 25287, 120824, 99397, 75910, 106528, 96555, 104736, 53283, 111571, 117271, 25287, 33035, 32938, 75910, 106528, 96555, 31809, 106045, 54872, 43240, 121432, 25287, 104157, 110362, 75910, 106528, 96555, 104736, 53283, 111571, 117271, 25287, 119046, 104654, 75910, 106528, 96555, 75910, 106528, 92877, 17792, 33563, 105298, 102923, 102332, 198, 75910, 106528, 125175, 126328, 32335, 32977, 43240, 47884, 20834, 104482, 107001, 105879, 108048, 108422, 33121, 109853, 113954, 30512, 102987, 107436, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 14711, 109609, 55228, 231, 125175, 17620, 102212, 16144, 118430, 20834, 111831, 19732, 48864, 108710, 120098, 198, 103005, 55228, 231, 125175, 17620, 102212, 16144, 118430, 20834, 111831, 19732, 48864, 108710, 120098, 109853, 5486, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 827, 120795, 38248, 115, 68581, 33710, 102756, 105048, 198, 102741, 38248, 115, 68581, 33710, 102756, 105048, 77181, 5486, 102741, 38248, 115, 68581, 33710, 102756, 105048, 16144, 41007, 71289, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 112113, 123863, 109606, 29295, 121410, 8107, 20834, 104482, 116216, 61689, 9174, 66378, 20230, 5486, 50021, 111813, 28190, 30177, 123863, 109606, 15682, 114652, 20834, 104482, 110731, 105879, 5486, 21105, 96, 107277, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 50021, 111813, 102351, 16144, 106613, 111186, 119703, 17792, 125030, 76947, 15682, 5486, 111108, 106624, 112391, 30369, 111831, 72661, 101182, 105879, 5486, 50021, 111813, 110238, 103129, 123863, 108729, 110783, 110095, 71289, 103350, 124299, 53229, 22649, 15682, 100204, 121710, 31431, 82973, 119707, 107441, 48864, 104127, 33334, 126145, 51385, 64209, 38641, 9174, 827, 122887, 120328, 114305, 198, 97518, 89046, 120328, 114305, 77181, 5486, 13153, 8107, 74482, 91774, 114305, 29295, 121410, 8107, 20834, 104482, 116216, 61689, 9174, 13153, 8107, 74482, 91774, 114305, 16144, 106548, 103214, 64121, 71289, 104091, 104770, 30512, 105184, 103350, 20230, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 53900, 5486, 104654, 123050, 114305, 77181, 5486, 104654, 123050, 25333, 16144, 19, 118821, 53229, 22649, 19732, 53229, 108630, 30512, 113954, 39926, 33334, 126145, 5486, 113925, 15024, 126172, 117201, 109954, 9174, 108502, 104698, 30046, 110022, 40862, 122521, 25333, 32977, 118430, 20834, 116216, 61689, 9174, 75910, 106528, 33563, 117126, 25333, 110792, 116690, 30512, 21105, 96, 107277, 110408, 30813, 107800, 53508, 231, 104195, 30512, 39926, 33334, 50834, 17129, 109954, 9174, 827, 105864, 103, 99397, 75910, 106528, 198, 75910, 106528, 125175, 107809, 16556, 32335, 32977, 20834, 104482, 110731, 112973, 5486, 120824, 99397, 75910, 106528, 38641, 9174, 40452, 30046, 71289, 125175, 104908, 113160, 49988, 112919, 103087, 35083, 31634, 14558, 5486, 121101, 44915, 5486, 104157, 110362, 125175, 82420, 55723, 19732, 120824, 99397, 75910, 106528, 82420, 55723, 16144, 61648, 34171, 71289, 104650, 37689, 28542, 104309, 5486, 108285, 16995, 119318, 116310, 55031, 20834, 104482, 107001, 103846, 5486, 37087, 33014, 112535, 21105, 96, 107277, 110408, 30813, 107290, 33334, 47884, 109215, 115991, 33541, 9174, 103188, 86436, 102052, 5486, 111006, 75910, 106528, 19732, 104654, 110238, 103129, 16144, 24775, 103283, 123863, 109606, 29295, 114652, 20834, 104482, 84389, 100481, 79721, 9174, 120824, 99397, 75910, 106528, 16144, 108729, 26854, 105879, 5486, 121953, 30512, 114652, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 827, 103036, 106045, 54872, 43240, 121432, 25287, 104157, 110362, 75910, 106528, 198, 31809, 106045, 54872, 43240, 121432, 25287, 104157, 110362, 75910, 106528, 15682, 5486, 33035, 16995, 30512, 104356, 103306, 109249, 117856, 71289, 120824, 99397, 16144, 125175, 30512, 15120, 33014, 112535, 104908, 54926, 75910, 106528, 125175, 38641, 9174, 106081, 111186, 77181, 5486, 127348, 75146, 107253, 71289, 107740, 23187, 102351, 123863, 109606, 29295, 43240, 47884, 20834, 104482, 116216, 61689, 9174, 31809, 106045, 54872, 43240, 121432, 25287, 104157, 110362, 75910, 106528, 16144, 66378, 17599, 112, 19732, 36668, 26854, 75146, 107253, 30512, 21105, 96, 107277, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 567, 34676, 30832, 64467, 72342, 6447, 15120, 102404, 127706, 11199, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 126120, 96455, 109904, 53508, 231, 104195, 25333, 198, 102663, 39880, 68759, 102750, 106081, 111186, 20230, 15120, 102404, 127706, 54926, 103846, 102052, 5486, 126120, 96455, 112535, 53508, 231, 104195, 54926, 105908, 27384, 102769, 38641, 9174, 51330, 111831, 77181, 115408, 16144, 106613, 111186, 30512, 32977, 19732, 20230, 5486, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 126120, 96455, 109904, 53508, 231, 104195, 41007, 30512, 126362, 78434, 9174, 14711, 107964, 231, 104195, 22398, 102663, 115478, 64178, 30512, 121697, 30369, 198, 126120, 96455, 112535, 53508, 231, 104195, 54926, 103846, 102052, 5486, 126843, 53508, 231, 104195, 22398, 102663, 115478, 64178, 30512, 121697, 17129, 109954, 9174, 22398, 102663, 115478, 64178, 30512, 121697, 30369, 118733, 5486, 53508, 231, 104195, 82973, 30512, 105184, 33563, 103082, 5486, 67645, 16144, 39177, 23538, 20230, 67645, 16144, 119318, 116310, 30512, 53508, 231, 104195, 54926, 32149, 30512, 104662, 109315, 105908, 125545, 9174, 86127, 29295, 103350, 104983, 20230, 101682, 111186, 56051, 110018, 16144, 22398, 102663, 115478, 64178, 30512, 126362, 78434, 9174, 91, 107253, 104874, 117232, 198, 91, 18, 9953, 198, 91, 117876, 16144, 127749, 104309, 30512, 64121, 106272, 5486, 43568, 22649, 16144, 100604, 48864, 108710, 22398, 102663, 115478, 64178, 30512, 121697, 17129, 109954, 9174, 85707, 107436, 16144, 101682, 111186, 16144, 39177, 15682, 5486, 57933, 62903, 71634, 102647, 102802, 30512, 51330, 39177, 23538, 120650, 16995, 79721, 9174, 91, 57933, 62903, 71634, 104356, 16144, 48864, 108710, 117232, 198, 91, 19, 9953, 21909, 21, 9953, 198, 91, 57933, 62903, 71634, 30512, 38129, 39926, 106081, 111186, 119318, 116310, 30512, 48864, 102802, 33541, 9174, 113954, 29295, 124834, 16995, 17620, 102212, 15682, 5486, 2984, 16556, 104873, 103854, 115926, 5486, 109606, 43167, 30512, 50338, 47884, 112973, 33334, 125683, 62004, 38641, 57980, 9174, 91, 102446, 108710, 104356, 16144, 48864, 108710, 117232, 198, 91, 22, 9953, 21909, 23, 9953, 198, 91, 103188, 86436, 109606, 43167, 124905, 76947, 5486, 57933, 62903, 71634, 16556, 48864, 102189, 53283, 109375, 16144, 23187, 100815, 30512, 111629, 31431, 17129, 109954, 9174, 57933, 62903, 71634, 19732, 109606, 43167, 30512, 104198, 109095, 54926, 118733, 5486, 105184, 103350, 20230, 50928, 28542, 48634, 29295, 114308, 33541, 9174, 91, 74245, 25580, 23538, 198, 91, 24, 9953, 198, 91, 103350, 48634, 114140, 16144, 103846, 5486, 54872, 101658, 105, 106081, 111186, 104309, 114475, 105784, 39177, 23538, 38641, 9174, 122571, 51330, 39177, 23538, 20230, 74245, 25580, 103359, 105226, 64810, 101198, 118567, 114475, 114341, 121256, 9174, 91, 106081, 111186, 22656, 87217, 198, 91, 605, 9953, 198, 91, 85701, 103296, 48864, 102189, 106592, 102404, 127327, 54926, 116771, 38641, 106609, 53508, 231, 104195, 82973, 30512, 105184, 33563, 54926, 103846, 102052, 5486, 103572, 38574, 16144, 104654, 30512, 49792, 101908, 39926, 82973, 30512, 15017, 119, 20834, 54926, 115789, 27384, 30926, 38641, 9174, 86127, 29295, 23039, 100472, 53508, 231, 104195, 82973, 16144, 105184, 33563, 41007, 32977, 112371, 104328, 121846, 116446, 72315, 101832, 9174, 14711, 63091, 17620, 20230, 40862, 30297, 100927, 103234, 30512, 102647, 104369, 198, 126120, 96455, 112535, 53508, 231, 104195, 39926, 127706, 30512, 104284, 43514, 18655, 30369, 103846, 102052, 5486, 100927, 103234, 102647, 102802, 29295, 107693, 121711, 33541, 9174, 105994, 20230, 40862, 100472, 100927, 103234, 30512, 102647, 103854, 81219, 5486, 107202, 46034, 26854, 17620, 102212, 71289, 53283, 109375, 29295, 16937, 114392, 26854, 17620, 102212, 30512, 121801, 112535, 48864, 108710, 108608, 123253, 9174, 86127, 29295, 103350, 104983, 20230, 33655, 100472, 90962, 22398, 22398, 39850, 16144, 100927, 103234, 109853, 5486, 123011, 109013, 77219, 107407, 105879, 98499, 104127, 64121, 38144, 72315, 101832, 9174, 67645, 103171, 53508, 231, 104195, 25333, 29295, 105994, 20230, 40862, 30297, 104865, 5486, 53283, 31431, 106956, 17792, 102052, 5486, 53508, 231, 104195, 25333, 30512, 123011, 109013, 77219, 119279, 125683, 62004, 9174, 14711, 119041, 109375, 16144, 23187, 100815, 30512, 111629, 30369, 198, 126120, 96455, 114652, 53508, 231, 104195, 39926, 127706, 54926, 103846, 102052, 5486, 110904, 20230, 57933, 62903, 71634, 30512, 98499, 104004, 121142, 103470, 5486, 109606, 30512, 50338, 102532, 53283, 109375, 29295, 67645, 33121, 108680, 23187, 100815, 103792, 32149, 30512, 114140, 109768, 47884, 109215, 115991, 33541, 9174, 126843, 15682, 15120, 99397, 15120, 103899, 115707, 16144, 109606, 43167, 16556, 15120, 59739, 115303, 59739, 113954, 103082, 100934, 32149, 30512, 114140, 109768, 50834, 17129, 109954, 9174, 108152, 38248, 255, 68581, 16073, 112028, 99397, 15120, 103899, 15682, 109606, 9039, 29295, 43240, 47884, 5486, 50338, 108323, 32977, 107121, 103836, 105879, 33334, 125683, 62004, 38641, 9174, 14711, 113545, 71634, 19732, 112361, 117501, 16556, 53508, 231, 104195, 54926, 198, 57933, 71634, 19732, 112361, 117501, 16556, 53508, 231, 104195, 39926, 33334, 76622, 81219, 5486, 106081, 111186, 40265, 117816, 126238, 105714, 39926, 22656, 108761, 102404, 127327, 103082, 104435, 102677, 30926, 107328, 30512, 111098, 105784, 105908, 125545, 9174, 106081, 111186, 29295, 60358, 109669, 102532, 105898, 33503, 5486, 103188, 86436, 99397, 30512, 104328, 28713, 17663, 33503, 50338, 16995, 100481, 50834, 17129, 109954, 9174, 53900, 5486, 54872, 101658, 105, 106081, 111186, 114475, 76622, 104533, 5486, 106081, 111186, 40265, 117073, 126238, 105714, 99750, 30512, 33014, 99750, 125545, 57980, 9174, 37026, 110362, 16556, 54872, 101658, 105, 106081, 111186, 109606, 30512, 109134, 105110, 5486, 108152, 38248, 255, 68581, 113883, 17599, 117, 104792, 103911, 101067, 109606, 119279, 125683, 62004, 9174, 54872, 106081, 18, 18904, 17620, 19732, 118430, 20834, 109606, 29295, 5245, 99397, 32977, 101182, 105879, 5486, 106081, 111186, 74245, 123628, 48634, 106081, 15024, 20230, 32335, 109431, 38641, 9174, 14711, 116561, 78459, 102832, 38248, 115, 78205, 16073, 30512, 109205, 69978, 54926, 198, 53508, 231, 104195, 30512, 106307, 76622, 100481, 47884, 103846, 102052, 5486, 102494, 78459, 102832, 38248, 115, 78205, 113883, 109205, 69978, 29295, 124490, 32149, 72342, 107515, 9174, 30832, 105888, 30512, 116700, 56051, 31431, 5486, 48154, 106782, 240, 58666, 30512, 102332, 107674, 31431, 112990, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 115442, 31431, 126172, 115737, 31431, 33541, 9174, 27452, 116285, 36896, 110382, 103296, 53508, 231, 104195, 127564, 27384, 53901, 112495, 33334, 71289, 59739, 30512, 125764, 101200, 115204, 110162, 36896, 51330, 54872, 101658, 105, 106081, 111186, 16556, 115412, 28542, 18655, 103468, 33503, 5486, 37507, 111299, 115320, 64121, 120650, 108895, 115204, 110162, 5486, 115364, 57933, 16073, 104272, 29295, 115442, 30369, 102944, 30512, 48154, 106782, 240, 58666, 20230, 112990, 5486, 105755, 53508, 231, 104195, 29295, 15682, 32149, 67645, 31431, 33541, 9174, 122571, 5486, 115303, 118821, 30832, 105888, 30512, 104067, 13153, 54926, 48154, 19732, 20230, 5486, 84851, 119432, 91875, 55723, 104088, 115926, 5486, 41758, 26269, 78525, 30512, 107691, 100472, 31431, 39926, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 122765, 100481, 79721, 9174, 567, 220, 123011, 62004, 5232, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 103572, 38574, 16144, 117876, 19732, 117139, 107436, 112854, 58942, 101200, 198, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 5486, 103572, 38574, 16144, 117876, 19732, 59739, 105722, 103836, 44915, 29295, 43240, 47884, 20834, 104482, 84389, 33541, 9174, 103572, 38574, 16144, 117876, 29295, 53508, 231, 104195, 20230, 103721, 233, 29295, 107462, 104533, 37689, 109375, 54926, 118733, 5486, 113954, 29295, 102987, 109709, 15120, 102404, 127706, 32977, 30832, 64467, 122101, 118733, 109954, 9174, 75910, 106528, 122521, 17620, 102212, 16144, 53508, 231, 104195, 30512, 53283, 31431, 106956, 24273, 15682, 5486, 117896, 16144, 77219, 29295, 121846, 115717, 33541, 9174, 105994, 20230, 40862, 30297, 53508, 231, 104195, 25333, 29295, 67645, 103171, 102944, 32149, 30512, 53283, 31431, 106956, 24273, 15682, 5486, 117896, 16144, 77219, 30512, 98499, 104127, 64121, 38144, 101832, 9174, 108618, 31431, 83747, 100604, 117232, 16556, 127706, 30512, 30832, 64467, 17663, 105110, 5486, 117896, 16144, 77219, 119279, 125683, 62004, 38641, 1811, 128001, 128000, 567, 112972, 30177, 16556, 110408, 30813, 105262, 125231, 120098, 15682, 11571, 28190, 30177, 115541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 51330, 111831, 77181, 5486, 103005, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 19732, 48864, 108710, 16144, 120098, 30512, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 14711, 109609, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 198, 103005, 55228, 231, 125175, 17620, 102212, 16144, 20834, 104482, 119318, 116310, 15682, 5486, 33671, 16144, 19, 59739, 20230, 17620, 76622, 102204, 33541, 9174, 9458, 102741, 38248, 115, 68581, 33710, 102756, 105048, 198, 9458, 50021, 111813, 28190, 30177, 112113, 198, 9458, 97518, 89046, 120328, 114305, 198, 9458, 75910, 106528, 125175, 198, 97518, 89046, 120328, 114305, 102052, 5486, 33671, 16144, 23, 104091, 104770, 16144, 114305, 123863, 109606, 125334, 104482, 84389, 33541, 9174, 108502, 104698, 30046, 103005, 55228, 231, 114305, 96555, 104654, 123050, 114305, 96555, 104654, 110482, 91739, 106, 30046, 37026, 80195, 122521, 114305, 96555, 74482, 23538, 45736, 106036, 95, 30046, 103242, 109519, 114305, 96555, 45736, 106036, 95, 30046, 84264, 238, 75293, 103181, 82533, 25333, 96555, 9080, 40053, 104654, 37026, 80195, 122521, 118482, 96555, 13153, 8107, 74482, 91774, 114305, 96555, 121568, 108134, 123050, 25333, 198, 20834, 104482, 119318, 116310, 20230, 96412, 17129, 104028, 75910, 106528, 125175, 15682, 5486, 717, 104091, 104770, 57903, 33541, 9174, 120824, 99397, 75910, 106528, 96555, 120824, 99397, 17701, 118959, 75910, 106528, 96555, 33035, 32938, 75910, 106528, 96555, 106649, 23538, 17701, 32938, 104654, 75910, 106528, 96555, 66378, 23187, 102923, 102332, 17701, 104157, 30046, 104654, 75910, 106528, 96555, 103005, 55228, 231, 11883, 77913, 96555, 126783, 23226, 23951, 96555, 103309, 56965, 117271, 25287, 120824, 99397, 75910, 106528, 96555, 104736, 53283, 111571, 117271, 25287, 33035, 32938, 75910, 106528, 96555, 31809, 106045, 54872, 43240, 121432, 25287, 104157, 110362, 75910, 106528, 96555, 104736, 53283, 111571, 117271, 25287, 119046, 104654, 75910, 106528, 96555, 75910, 106528, 92877, 17792, 33563, 105298, 102923, 102332, 198, 75910, 106528, 125175, 126328, 32335, 32977, 43240, 47884, 20834, 104482, 107001, 105879, 108048, 108422, 33121, 109853, 113954, 30512, 102987, 107436, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 14711, 109609, 55228, 231, 125175, 17620, 102212, 16144, 118430, 20834, 111831, 19732, 48864, 108710, 120098, 198, 103005, 55228, 231, 125175, 17620, 102212, 16144, 118430, 20834, 111831, 19732, 48864, 108710, 120098, 109853, 5486, 50520, 111, 106624, 64121, 100481, 50834, 17129, 109954, 9174, 827, 120795, 38248, 115, 68581, 33710, 102756, 105048, 198, 102741, 38248, 115, 68581, 33710, 102756, 105048, 77181, 5486, 102741, 38248, 115, 68581, 33710, 102756, 105048, 16144, 41007, 71289, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 112113, 123863, 109606, 29295, 121410, 8107, 20834, 104482, 116216, 61689, 9174, 66378, 20230, 5486, 50021, 111813, 28190, 30177, 123863, 109606, 15682, 114652, 20834, 104482, 110731, 105879, 5486, 21105, 96, 107277, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 50021, 111813, 102351, 16144, 106613, 111186, 119703, 17792, 125030, 76947, 15682, 5486, 111108, 106624, 112391, 30369, 111831, 72661, 101182, 105879, 5486, 50021, 111813, 110238, 103129, 123863, 108729, 110783, 110095, 71289, 103350, 124299, 53229, 22649, 15682, 100204, 121710, 31431, 82973, 119707, 107441, 48864, 104127, 33334, 126145, 51385, 64209, 38641, 9174, 827, 122887, 120328, 114305, 198, 97518, 89046, 120328, 114305, 77181, 5486, 13153, 8107, 74482, 91774, 114305, 29295, 121410, 8107, 20834, 104482, 116216, 61689, 9174, 13153, 8107, 74482, 91774, 114305, 16144, 106548, 103214, 64121, 71289, 104091, 104770, 30512, 105184, 103350, 20230, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 53900, 5486, 104654, 123050, 114305, 77181, 5486, 104654, 123050, 25333, 16144, 19, 118821, 53229, 22649, 19732, 53229, 108630, 30512, 113954, 39926, 33334, 126145, 5486, 113925, 15024, 126172, 117201, 109954, 9174, 108502, 104698, 30046, 110022, 40862, 122521, 25333, 32977, 118430, 20834, 116216, 61689, 9174, 75910, 106528, 33563, 117126, 25333, 110792, 116690, 30512, 21105, 96, 107277, 110408, 30813, 107800, 53508, 231, 104195, 30512, 39926, 33334, 50834, 17129, 109954, 9174, 827, 105864, 103, 99397, 75910, 106528, 198, 75910, 106528, 125175, 107809, 16556, 32335, 32977, 20834, 104482, 110731, 112973, 5486, 120824, 99397, 75910, 106528, 38641, 9174, 40452, 30046, 71289, 125175, 104908, 113160, 49988, 112919, 103087, 35083, 31634, 14558, 5486, 121101, 44915, 5486, 104157, 110362, 125175, 82420, 55723, 19732, 120824, 99397, 75910, 106528, 82420, 55723, 16144, 61648, 34171, 71289, 104650, 37689, 28542, 104309, 5486, 108285, 16995, 119318, 116310, 55031, 20834, 104482, 107001, 103846, 5486, 37087, 33014, 112535, 21105, 96, 107277, 110408, 30813, 107290, 33334, 47884, 109215, 115991, 33541, 9174, 103188, 86436, 102052, 5486, 111006, 75910, 106528, 19732, 104654, 110238, 103129, 16144, 24775, 103283, 123863, 109606, 29295, 114652, 20834, 104482, 84389, 100481, 79721, 9174, 120824, 99397, 75910, 106528, 16144, 108729, 26854, 105879, 5486, 121953, 30512, 114652, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 827, 103036, 106045, 54872, 43240, 121432, 25287, 104157, 110362, 75910, 106528, 198, 31809, 106045, 54872, 43240, 121432, 25287, 104157, 110362, 75910, 106528, 15682, 5486, 33035, 16995, 30512, 104356, 103306, 109249, 117856, 71289, 120824, 99397, 16144, 125175, 30512, 15120, 33014, 112535, 104908, 54926, 75910, 106528, 125175, 38641, 9174, 106081, 111186, 77181, 5486, 127348, 75146, 107253, 71289, 107740, 23187, 102351, 123863, 109606, 29295, 43240, 47884, 20834, 104482, 116216, 61689, 9174, 31809, 106045, 54872, 43240, 121432, 25287, 104157, 110362, 75910, 106528, 16144, 66378, 17599, 112, 19732, 36668, 26854, 75146, 107253, 30512, 21105, 96, 107277, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 567, 34676, 30832, 64467, 72342, 6447, 15120, 102404, 127706, 11199, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 126120, 96455, 109904, 53508, 231, 104195, 25333, 198, 102663, 39880, 68759, 102750, 106081, 111186, 20230, 15120, 102404, 127706, 54926, 103846, 102052, 5486, 126120, 96455, 112535, 53508, 231, 104195, 54926, 105908, 27384, 102769, 38641, 9174, 51330, 111831, 77181, 115408, 16144, 106613, 111186, 30512, 32977, 19732, 20230, 5486, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 16144, 126120, 96455, 109904, 53508, 231, 104195, 41007, 30512, 126362, 78434, 9174, 14711, 107964, 231, 104195, 22398, 102663, 115478, 64178, 30512, 121697, 30369, 198, 126120, 96455, 112535, 53508, 231, 104195, 54926, 103846, 102052, 5486, 126843, 53508, 231, 104195, 22398, 102663, 115478, 64178, 30512, 121697, 17129, 109954, 9174, 22398, 102663, 115478, 64178, 30512, 121697, 30369, 118733, 5486, 53508, 231, 104195, 82973, 30512, 105184, 33563, 103082, 5486, 67645, 16144, 39177, 23538, 20230, 67645, 16144, 119318, 116310, 30512, 53508, 231, 104195, 54926, 32149, 30512, 104662, 109315, 105908, 125545, 9174, 86127, 29295, 103350, 104983, 20230, 101682, 111186, 56051, 110018, 16144, 22398, 102663, 115478, 64178, 30512, 126362, 78434, 9174, 91, 107253, 104874, 117232, 198, 91, 18, 9953, 198, 91, 117876, 16144, 127749, 104309, 30512, 64121, 106272, 5486, 43568, 22649, 16144, 100604, 48864, 108710, 22398, 102663, 115478, 64178, 30512, 121697, 17129, 109954, 9174, 85707, 107436, 16144, 101682, 111186, 16144, 39177, 15682, 5486, 57933, 62903, 71634, 102647, 102802, 30512, 51330, 39177, 23538, 120650, 16995, 79721, 9174, 91, 57933, 62903, 71634, 104356, 16144, 48864, 108710, 117232, 198, 91, 19, 9953, 21909, 21, 9953, 198, 91, 57933, 62903, 71634, 30512, 38129, 39926, 106081, 111186, 119318, 116310, 30512, 48864, 102802, 33541, 9174, 113954, 29295, 124834, 16995, 17620, 102212, 15682, 5486, 2984, 16556, 104873, 103854, 115926, 5486, 109606, 43167, 30512, 50338, 47884, 112973, 33334, 125683, 62004, 38641, 57980, 9174, 91, 102446, 108710, 104356, 16144, 48864, 108710, 117232, 198, 91, 22, 9953, 21909, 23, 9953, 198, 91, 103188, 86436, 109606, 43167, 124905, 76947, 5486, 57933, 62903, 71634, 16556, 48864, 102189, 53283, 109375, 16144, 23187, 100815, 30512, 111629, 31431, 17129, 109954, 9174, 57933, 62903, 71634, 19732, 109606, 43167, 30512, 104198, 109095, 54926, 118733, 5486, 105184, 103350, 20230, 50928, 28542, 48634, 29295, 114308, 33541, 9174, 91, 74245, 25580, 23538, 198, 91, 24, 9953, 198, 91, 103350, 48634, 114140, 16144, 103846, 5486, 54872, 101658, 105, 106081, 111186, 104309, 114475, 105784, 39177, 23538, 38641, 9174, 122571, 51330, 39177, 23538, 20230, 74245, 25580, 103359, 105226, 64810, 101198, 118567, 114475, 114341, 121256, 9174, 91, 106081, 111186, 22656, 87217, 198, 91, 605, 9953, 198, 91, 85701, 103296, 48864, 102189, 106592, 102404, 127327, 54926, 116771, 38641, 106609, 53508, 231, 104195, 82973, 30512, 105184, 33563, 54926, 103846, 102052, 5486, 103572, 38574, 16144, 104654, 30512, 49792, 101908, 39926, 82973, 30512, 15017, 119, 20834, 54926, 115789, 27384, 30926, 38641, 9174, 86127, 29295, 23039, 100472, 53508, 231, 104195, 82973, 16144, 105184, 33563, 41007, 32977, 112371, 104328, 121846, 116446, 72315, 101832, 9174, 14711, 63091, 17620, 20230, 40862, 30297, 100927, 103234, 30512, 102647, 104369, 198, 126120, 96455, 112535, 53508, 231, 104195, 39926, 127706, 30512, 104284, 43514, 18655, 30369, 103846, 102052, 5486, 100927, 103234, 102647, 102802, 29295, 107693, 121711, 33541, 9174, 105994, 20230, 40862, 100472, 100927, 103234, 30512, 102647, 103854, 81219, 5486, 107202, 46034, 26854, 17620, 102212, 71289, 53283, 109375, 29295, 16937, 114392, 26854, 17620, 102212, 30512, 121801, 112535, 48864, 108710, 108608, 123253, 9174, 86127, 29295, 103350, 104983, 20230, 33655, 100472, 90962, 22398, 22398, 39850, 16144, 100927, 103234, 109853, 5486, 123011, 109013, 77219, 107407, 105879, 98499, 104127, 64121, 38144, 72315, 101832, 9174, 67645, 103171, 53508, 231, 104195, 25333, 29295, 105994, 20230, 40862, 30297, 104865, 5486, 53283, 31431, 106956, 17792, 102052, 5486, 53508, 231, 104195, 25333, 30512, 123011, 109013, 77219, 119279, 125683, 62004, 9174, 14711, 119041, 109375, 16144, 23187, 100815, 30512, 111629, 30369, 198, 126120, 96455, 114652, 53508, 231, 104195, 39926, 127706, 54926, 103846, 102052, 5486, 110904, 20230, 57933, 62903, 71634, 30512, 98499, 104004, 121142, 103470, 5486, 109606, 30512, 50338, 102532, 53283, 109375, 29295, 67645, 33121, 108680, 23187, 100815, 103792, 32149, 30512, 114140, 109768, 47884, 109215, 115991, 33541, 9174, 126843, 15682, 15120, 99397, 15120, 103899, 115707, 16144, 109606, 43167, 16556, 15120, 59739, 115303, 59739, 113954, 103082, 100934, 32149, 30512, 114140, 109768, 50834, 17129, 109954, 9174, 108152, 38248, 255, 68581, 16073, 112028, 99397, 15120, 103899, 15682, 109606, 9039, 29295, 43240, 47884, 5486, 50338, 108323, 32977, 107121, 103836, 105879, 33334, 125683, 62004, 38641, 9174, 14711, 113545, 71634, 19732, 112361, 117501, 16556, 53508, 231, 104195, 54926, 198, 57933, 71634, 19732, 112361, 117501, 16556, 53508, 231, 104195, 39926, 33334, 76622, 81219, 5486, 106081, 111186, 40265, 117816, 126238, 105714, 39926, 22656, 108761, 102404, 127327, 103082, 104435, 102677, 30926, 107328, 30512, 111098, 105784, 105908, 125545, 9174, 106081, 111186, 29295, 60358, 109669, 102532, 105898, 33503, 5486, 103188, 86436, 99397, 30512, 104328, 28713, 17663, 33503, 50338, 16995, 100481, 50834, 17129, 109954, 9174, 53900, 5486, 54872, 101658, 105, 106081, 111186, 114475, 76622, 104533, 5486, 106081, 111186, 40265, 117073, 126238, 105714, 99750, 30512, 33014, 99750, 125545, 57980, 9174, 37026, 110362, 16556, 54872, 101658, 105, 106081, 111186, 109606, 30512, 109134, 105110, 5486, 108152, 38248, 255, 68581, 113883, 17599, 117, 104792, 103911, 101067, 109606, 119279, 125683, 62004, 9174, 54872, 106081, 18, 18904, 17620, 19732, 118430, 20834, 109606, 29295, 5245, 99397, 32977, 101182, 105879, 5486, 106081, 111186, 74245, 123628, 48634, 106081, 15024, 20230, 32335, 109431, 38641, 9174, 14711, 116561, 78459, 102832, 38248, 115, 78205, 16073, 30512, 109205, 69978, 54926, 198, 53508, 231, 104195, 30512, 106307, 76622, 100481, 47884, 103846, 102052, 5486, 102494, 78459, 102832, 38248, 115, 78205, 113883, 109205, 69978, 29295, 124490, 32149, 72342, 107515, 9174, 30832, 105888, 30512, 116700, 56051, 31431, 5486, 48154, 106782, 240, 58666, 30512, 102332, 107674, 31431, 112990, 5486, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 115442, 31431, 126172, 115737, 31431, 33541, 9174, 27452, 116285, 36896, 110382, 103296, 53508, 231, 104195, 127564, 27384, 53901, 112495, 33334, 71289, 59739, 30512, 125764, 101200, 115204, 110162, 36896, 51330, 54872, 101658, 105, 106081, 111186, 16556, 115412, 28542, 18655, 103468, 33503, 5486, 37507, 111299, 115320, 64121, 120650, 108895, 115204, 110162, 5486, 115364, 57933, 16073, 104272, 29295, 115442, 30369, 102944, 30512, 48154, 106782, 240, 58666, 20230, 112990, 5486, 105755, 53508, 231, 104195, 29295, 15682, 32149, 67645, 31431, 33541, 9174, 122571, 5486, 115303, 118821, 30832, 105888, 30512, 104067, 13153, 54926, 48154, 19732, 20230, 5486, 84851, 119432, 91875, 55723, 104088, 115926, 5486, 41758, 26269, 78525, 30512, 107691, 100472, 31431, 39926, 102494, 78459, 102832, 38248, 115, 78205, 16073, 30512, 122765, 100481, 79721, 9174, 567, 220, 123011, 62004, 5232, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 103572, 38574, 16144, 117876, 19732, 117139, 107436, 112854, 58942, 101200, 198, 33563, 105298, 103242, 109519, 103005, 55228, 231, 125175, 17620, 102212, 15682, 5486, 103572, 38574, 16144, 117876, 19732, 59739, 105722, 103836, 44915, 29295, 43240, 47884, 20834, 104482, 84389, 33541, 9174, 103572, 38574, 16144, 117876, 29295, 53508, 231, 104195, 20230, 103721, 233, 29295, 107462, 104533, 37689, 109375, 54926, 118733, 5486, 113954, 29295, 102987, 109709, 15120, 102404, 127706, 32977, 30832, 64467, 122101, 118733, 109954, 9174, 75910, 106528, 122521, 17620, 102212, 16144, 53508, 231, 104195, 30512, 53283, 31431, 106956, 24273, 15682, 5486, 117896, 16144, 77219, 29295, 121846, 115717, 33541, 9174, 105994, 20230, 40862, 30297, 53508, 231, 104195, 25333, 29295, 67645, 103171, 102944, 32149, 30512, 53283, 31431, 106956, 24273, 15682, 5486, 117896, 16144, 77219, 30512, 98499, 104127, 64121, 38144, 101832, 9174, 108618, 31431, 83747, 100604, 117232, 16556, 127706, 30512, 30832, 64467, 17663, 105110, 5486, 117896, 16144, 77219, 119279, 125683, 62004, 38641, 1811, 128001, 128000, 567, 112972, 30177, 16556, 110408, 30813, 105262, 125231, 120098, 15682, 11571, 28190, 30177, 115541 ]
[ 108710, 16144, 106548, 24273, 198, 102181, 104770, 102647, 78698, 30512, 126954, 56051, 110706, 57980, 16995, 57980, 28190, 30177, 38641, 1811, 28190, 30177, 103359, 105226, 103306, 115541, 108710, 30512, 30358, 101832, 38144, 33334, 47884, 109335, 19732, 111243, 27384, 102769, 26854, 100909, 38641, 9174, 28190, 30177, 16144, 115541, 108710, 123410, 100909, 102052, 5486, 102099, 106596, 107294, 105722, 31431, 5486, 105994, 30512, 21405, 102321, 54926, 112690, 16144, 110101, 116219, 122060, 123213, 87217, 16556, 120175, 100815, 102532, 117271, 108608, 5486, 105755, 108044, 116547, 126172, 16995, 87177, 15024, 24273, 16144, 20251, 44971, 118928, 94550, 29295, 108608, 104309, 121771, 115867, 39850, 37823, 67075, 107407, 55031, 38641, 9174, 28190, 30177, 107253, 104874, 16556, 125338, 33334, 105898, 16995, 8239, 114503, 109904, 115541, 108710, 41007, 30512, 48154, 126362, 78434, 9174, 28190, 30177, 115541, 108710, 38641, 30369, 125231, 100909, 198, 87177, 17663, 44915, 30512, 102181, 50834, 121406, 720, 28190, 30177, 16556, 103911, 101067, 107001, 105284, 99397, 19732, 58426, 113925, 30512, 102181, 50834, 20834, 39926, 116696, 48552, 78434, 1811, 101067, 23187, 109768, 104435, 105284, 99397, 113115, 39926, 16144, 104196, 103899, 20230, 118220, 76947, 103801, 16995, 5486, 87177, 29295, 46456, 106627, 121143, 117068, 115717, 5486, 102971, 91077, 99849, 29295, 108044, 58942, 106956, 100909, 103351, 104865, 29295, 17620, 55031, 123733, 76947, 114732, 105908, 57903, 33541, 9174, 105284, 99397, 16144, 37689, 111629, 113115, 39926, 67645, 120950, 106391, 13153, 16556, 113925, 30512, 126693, 57980, 16995, 104865, 30512, 61304, 107121, 39926, 33334, 50834, 33541, 9174, 72718, 105005, 108436, 102971, 16144, 89753, 33121, 16556, 106391, 13153, 112990, 120007, 105352, 108044, 116547, 126172, 47884, 123011, 62004, 126172, 16995, 38641, 118855, 5486, 120007, 29295, 56051, 105284, 99397, 113115, 39926, 5486, 115364, 106613, 111186, 30512, 108086, 17129, 112371, 30369, 100909, 112212, 108323, 50928, 48634, 29295, 115079, 109768, 50834, 33541, 9174, 13177, 72718, 10646, 11651, 101961, 78244, 113245, 39880, 70563, 64178, 113925, 198, 13177, 105005, 10646, 11651, 108477, 110, 104482, 5486, 21388, 113529, 5486, 114667, 198, 13177, 108436, 10646, 11651, 86222, 104662, 105226, 5486, 49792, 101908, 28542, 5486, 23226, 106594, 28542, 198, 13177, 102971, 10646, 11651, 87646, 101544, 5486, 113702, 198, 82973, 116700, 123410, 198, 28190, 30177, 15682, 43167, 108638, 38641, 30369, 107803, 32977, 43240, 47884, 112160, 17792, 20230, 111017, 105784, 82973, 29295, 83747, 100604, 38641, 118855, 5486, 21105, 96, 107277, 19732, 115364, 37689, 91774, 30512, 123011, 109315, 48634, 107407, 32149, 29295, 106081, 107001, 105908, 57903, 33541, 1811, 720, 58426, 103846, 5486, 28190, 30177, 102078, 29295, 105284, 99397, 123410, 104983, 20230, 13177, 15120, 78244, 16556, 59712, 16, 17620, 113314, 16556, 10646, 104309, 113925, 54926, 82973, 30512, 109823, 107001, 105908, 57903, 33541, 1811, 82973, 80805, 102514, 16073, 48154, 19732, 20230, 113925, 30512, 109242, 9039, 11883, 37689, 39926, 33334, 50834, 17129, 109954, 9174, 102131, 16995, 100472, 107253, 104874, 30512, 39926, 33334, 47884, 118733, 105047, 20230, 82973, 44416, 48249, 29295, 120267, 110968, 84389, 111243, 118220, 30369, 100909, 103470, 5486, 89783, 116664, 30512, 32977, 76947, 103899, 58942, 102204, 33541, 9174, 115541, 108710, 30512, 103721, 108, 31431, 104196, 17663, 198, 99849, 27479, 32977, 103721, 108, 31431, 104196, 17663, 109335, 109163, 61304, 54926, 113009, 23039, 30297, 102944, 77181, 124897, 1811, 87177, 17663, 44915, 30512, 105994, 20230, 114601, 31431, 104526, 104004, 118733, 5486, 109683, 33014, 5486, 32149, 59739, 17620, 107277, 126172, 16995, 89753, 33121, 16556, 87177, 122101, 101200, 108176, 105908, 113173, 38641, 1811, 103721, 108, 31431, 104196, 17663, 16325, 16556, 13177, 101544, 16995, 59712, 31958, 105184, 16556, 100604, 10646, 123160, 95221, 114308, 32977, 115079, 105262, 105879, 23226, 106594, 107294, 26854, 102639, 30369, 105908, 125545, 1811, 720, 567, 110124, 103, 99397, 84389, 120550, 44915, 30512, 101067, 23187, 15024, 113925, 30512, 78698, 105262, 198, 102099, 126362, 5486, 78228, 103192, 91875, 101513, 5486, 102099, 6616, 5486, 112415, 71289, 106613, 111186, 16556, 123457, 17701, 103468, 100909, 5486, 114435, 20230, 104655, 105898, 16995, 100909, 104309, 109853, 15682, 105284, 99397, 16144, 105184, 96455, 32977, 126574, 38641, 1811, 17701, 104611, 20230, 107253, 104874, 39926, 33334, 47884, 118733, 5486, 108010, 30297, 64936, 27479, 117758, 105284, 99397, 105352, 103899, 58942, 126172, 115737, 31431, 33541, 9174, 101275, 98220, 71289, 107430, 104091, 5486, 106608, 119890, 114435, 16144, 66378, 105284, 55031, 113727, 110071, 105284, 99397, 30512, 108608, 103378, 43240, 47884, 121216, 5486, 113925, 30512, 113727, 33541, 1811, 28190, 30177, 16144, 113925, 15682, 108729, 112535, 38093, 87177, 16144, 107391, 108981, 103672, 64178, 38641, 105879, 5486, 82973, 44416, 48249, 29295, 116700, 84389, 126386, 107803, 72661, 16, 17620, 23897, 32943, 30512, 30832, 51385, 20230, 107253, 104874, 112990, 112160, 24273, 112535, 87177, 39926, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 33121, 101860, 20230, 105721, 78183, 30369, 106592, 103181, 102639, 33541, 9174, 81258, 76706, 9458, 108436, 107430, 97518, 89046, 16144, 108134, 116229, 16556, 105284, 99397, 27452, 30512, 106767, 17663, 105908, 103082, 5486, 113925, 27452, 103296, 20834, 100934, 105908, 57903, 33541, 29295, 5486, 108038, 20230, 47260, 93298, 39926, 114732, 19732, 13177, 105994, 33503, 21105, 243, 10646, 29295, 33420, 107290, 103801, 61689, 109807, 103846, 102131, 16995, 100472, 113925, 15682, 116898, 111201, 115364, 106613, 111186, 71289, 114284, 30512, 120007, 126365, 122101, 104865, 102083, 100472, 102446, 20834, 16144, 121846, 103306, 91774, 30369, 106592, 33334, 53508, 100, 62004, 78434, 9174, 113925, 19967, 13153, 106826, 103830, 198, 9458, 113925, 16144, 57207, 96452, 37823, 90962, 30512, 112160, 59739, 15120, 59739, 112810, 20230, 83125, 16556, 102181, 50834, 20834, 78434, 1811, 720, 9458, 72718, 105005, 108436, 102971, 30512, 37689, 109375, 39926, 5486, 16, 17620, 104023, 3101, 19113, 113314, 16144, 119318, 116310, 32943, 16556, 123011, 62004, 33541, 9174, 9458, 57207, 96452, 37823, 90962, 16144, 107693, 120098, 20230, 68759, 105048, 5486, 125845, 118372, 30512, 113801, 33541, 9174, 9458, 58426, 107693, 120098, 30512, 23964, 229, 40089, 102181, 50834, 20230, 113487, 90397, 233, 78434, 9174, 9458, 118028, 76428, 115307, 113925, 39850, 102494, 126694, 13153, 78434, 9174, 31634, 28542, 30512, 58254, 252, 31431, 104526, 102189, 13177, 118028, 76428, 115307, 113925, 39850, 102494, 10646, 29295, 103082, 30591, 29295, 100472, 33503, 5486, 115541, 108710, 109156, 31431, 17129, 109954, 9174, 567, 112972, 30177, 115541, 108710, 16144, 104091, 104770, 19732, 71289, 31431, 32149, 28713, 198, 103350, 104983, 20230, 28190, 30177, 16144, 115541, 108710, 16144, 106548, 24273, 102052, 39135, 104680, 26854, 41007, 115991, 33541, 9174, 9458, 103672, 112900, 44971, 47260, 117697, 11972, 16556, 108565, 79785, 198, 44971, 47260, 117697, 11972, 20230, 108565, 79785, 112990, 5486, 71174, 16144, 20251, 107060, 71289, 126128, 21441, 248, 5486, 87177, 17663, 22398, 70563, 65575, 30512, 114140, 54926, 105908, 125545, 1811, 117399, 98499, 64121, 16144, 87177, 15024, 24273, 71289, 103856, 40526, 30512, 23226, 106594, 54926, 110115, 107734, 118013, 33541, 1811, 58942, 11972, 108149, 11972, 30512, 89046, 102404, 54926, 23706, 244, 32977, 23951, 37656, 125545, 9174, 9458, 117785, 16144, 25580, 16556, 20251, 44971, 118928, 94550, 198, 28190, 30177, 77181, 112690, 121142, 103470, 5486, 87177, 17663, 125344, 112741, 71289, 21105, 238, 30813, 104309, 32977, 91774, 124195, 61689, 1811, 115364, 103984, 101911, 16144, 91875, 50834, 32977, 114140, 21105, 103, 29295, 33503, 23039, 30297, 105908, 108608, 41007, 38641, 9174, 9458, 91482, 68408, 90962, 16556, 91875, 55723, 125152, 58322, 198, 108565, 55723, 54926, 118733, 5486, 115364, 37087, 33014, 16144, 91774, 74245, 15024, 123410, 105908, 125545, 1811, 110783, 110095, 71289, 23706, 244, 104309, 20230, 95221, 114308, 126172, 115737, 31431, 5486, 18904, 9039, 30512, 30358, 101832, 30369, 48154, 19732, 20230, 109683, 33014, 16556, 87177, 122101, 101200, 115717, 33541, 1811, 28190, 30177, 102078, 29295, 101682, 105784, 104371, 47523, 30512, 105994, 16556, 114140, 21105, 103, 29295, 33503, 23039, 30297, 105908, 108608, 103846, 5486, 65854, 114181, 112535, 109606, 28542, 30512, 102178, 111665, 108608, 101200, 115717, 33541, 9174, 9458, 98915, 17792, 71289, 122013, 5486, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 126365, 111243, 33503, 30297, 198, 41642, 111331, 17792, 20230, 117943, 104127, 28190, 30177, 102078, 107734, 101983, 114598, 33503, 61689, 1811, 113925, 30512, 104655, 102532, 32977, 110706, 96455, 74245, 26854, 99750, 101067, 30512, 32018, 62004, 17129, 109954, 1811, 17620, 107277, 20230, 47884, 16995, 28542, 5486, 95221, 108176, 106592, 64467, 112419, 120837, 33503, 100472, 33503, 5486, 72238, 74245, 20230, 23226, 106594, 20230, 108167, 115856, 107277, 33541, 9174, 114363, 103722, 16144, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 104309, 20230, 54872, 101658, 105, 28190, 30177, 126130, 124730, 54926, 105908, 103082, 104533, 5486, 107420, 16144, 103984, 28542, 55031, 39880, 45923, 66953, 112900, 114475, 105784, 105908, 125545, 1811, 66378, 20230, 5486, 105284, 99397, 113115, 39926, 9554, 30512, 105644, 100934, 32149, 5486, 43568, 102147, 226, 20230, 101544, 16995, 113925, 16144, 99849, 30512, 66870, 105784, 32149, 104309, 9554, 105184, 26854, 64467, 112419, 15682, 107734, 20230, 118013, 33541, 9174, 30537, 18, 112919, 37689, 91774, 102677, 104468, 5486, 105994, 77181, 95221, 114308, 20230, 47884, 16995, 100909, 120098, 30512, 64467, 112419, 39926, 124089, 105908, 127181, 105879, 5486, 112371, 104328, 115541, 108710, 20230, 108167, 125639, 17129, 109954, 9174, 115541, 108710, 30512, 8239, 114503, 112535, 54926, 124122, 120098, 198, 28190, 30177, 115541, 108710, 30512, 8239, 114503, 112535, 103130, 109315, 113009, 37689, 109375, 54926, 120098, 5486, 114140, 30926, 105904, 30512, 48154, 126362, 78434, 9174, 14711, 63415, 113925, 29295, 101544, 120195, 100604, 32149, 198, 87177, 17663, 110366, 16144, 16, 17620, 19732, 104655, 47884, 110366, 16144, 16, 17620, 15682, 101544, 30813, 16144, 99750, 112854, 29295, 108010, 61689, 1811, 101544, 16995, 113925, 15682, 27384, 102769, 26854, 105494, 30512, 109416, 71289, 76622, 107726, 5486, 124042, 112535, 99849, 29295, 78244, 102334, 102518, 104865, 17620, 107277, 20230, 47884, 47884, 107726, 38144, 114732, 107803, 115991, 33541, 1811, 16, 17620, 23897, 32943, 16556, 123011, 109315, 104466, 103801, 109954, 9174, 14711, 63415, 38093, 87177, 101983, 103836, 32149, 198, 28190, 30177, 15682, 28190, 30177, 102078, 19732, 38093, 87177, 102677, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 31431, 106272, 103130, 104004, 102944, 38641, 1811, 107253, 104874, 39926, 105898, 113925, 30512, 114284, 20834, 102131, 117408, 30591, 109709, 20230, 5486, 38093, 87177, 29295, 105557, 22957, 43514, 100604, 5486, 101513, 109472, 109904, 87177, 15024, 24273, 5486, 78525, 44971, 28713, 113925, 30512, 22398, 112718, 32131, 87177, 109768, 104533, 109163, 61304, 39926, 50834, 90620, 76622, 118816, 15017, 231, 58942, 124195, 103801, 61689, 9174, 14711, 63415, 113925, 15682, 118789, 9554, 32149, 104405, 32149, 198, 113925, 15682, 120007, 20230, 17620, 107277, 126172, 16995, 104023, 108044, 78183, 30369, 102944, 16556, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 59614, 101860, 118789, 109904, 106613, 111186, 123160, 44915, 30512, 17701, 106824, 28190, 30177, 102078, 29295, 25197, 126989, 15024, 126172, 16995, 101200, 55487, 101557, 106, 78434, 9174, 14711, 63415, 103984, 101911, 71289, 21105, 238, 30813, 20230, 109606, 120937, 32149, 198, 28190, 30177, 102078, 15682, 87177, 116749, 105352, 107328, 27479, 16556, 106608, 119890, 30046, 104088, 127280, 1811, 118322, 91875, 50834, 71289, 112741, 20230, 5486, 46034, 102780, 16144, 91875, 50834, 102052, 61633, 29295, 109215, 38641, 1811, 17905, 30832, 124955, 16995, 5486, 118146, 114146, 100604, 5486, 17297, 30512, 70141, 50834, 29295, 43514, 5486, 50834, 103701, 85791, 50834, 103701, 85791, 54926, 5486, 108429, 105068, 108176, 5486, 87177, 17663, 125344, 40526, 24186, 30512, 109835, 30369, 23706, 244, 104309, 95221, 30512, 47000, 105784, 104466, 103801, 109954, 9174, 28190, 30177, 16144, 115541, 108710, 15682, 71289, 104984, 109134, 108680, 105994, 30512, 65854, 114181, 112535, 106596, 108608, 101200, 115717, 5486, 115364, 104195, 64121, 104309, 30512, 88356, 104736, 109375, 54926, 118733, 37026, 22023, 116825, 105784, 105908, 125545, 1811, 28190, 30177, 113245, 105284, 99397, 30512, 47406, 104812, 100, 20230, 103911, 108867, 54926, 109335, 103082, 107515, 29295, 5486, 115541, 108710, 30512, 103792, 32149, 116898, 100604, 32149, 16556, 20834, 38144, 109749, 112690, 15682, 124500, 76947, 50834, 33541, 1811, 8239, 114503, 109904, 107253, 104874, 16556, 21105, 96, 107277, 39880, 70563, 64178, 108608, 101200, 115717, 17129, 109954, 1811, 128001, 128000, 58911, 32943, 37656, 112163, 10110, 71289, 17129, 117591, 9458, 17129, 30813, 19732, 15024, 7705, 105416, 79059, 101402, 107873, 39276, 108396, 30046, 5486, 22398, 111234, 114228, 16073, 29504, 80195, 118347, 61398, 118656, 121224, 102473, 102351, 198, 22398, 111234, 114228, 16073, 29504, 80195, 118347, 61398, 118656, 121224, 102473, 102351, 1811, 20713, 68093, 66115, 34617, 8107, 108931, 102667, 22649, 48864, 34048, 124305, 115132, 112718, 71493, 102667, 127960, 118656, 121224, 20230, 104650, 48864, 5486, 121987, 18476, 115181, 1811, 127960, 71289, 115461, 78519, 16144, 125540, 78525, 68759, 9458, 101721, 117450, 95221, 102321, 47523, 10110, 108867, 23187, 19732, 50338, 98871, 7705, 29295, 114363, 103722, 1811, 81191, 27113, 20713, 116033, 104603, 93488, 66953, 110494, 111571, 103550, 104336, 30512, 102404, 103429, 15024, 20713, 8107, 56965, 17701, 94923, 1811, 27113, 34617, 8107, 55031, 117876, 20230, 109095, 112454, 5486, 112599, 32977, 37823, 102040, 91482, 37823, 30512, 106307, 76622, 106272, 68093, 111017, 113314, 16144, 114731, 102781, 30512, 22957, 26854, 103792, 1811, 62903, 33710, 96452, 23530, 19000, 101987, 9174, 64780, 107420, 106384, 64178, 15682, 53229, 108630, 103306, 5486, 105242, 103605, 20230, 114626, 20230, 116043, 116882, 56051, 40265, 125344, 102944, 38641, 198, 39850, 76171, 39850, 78683, 109496, 30512, 19732, 81219, 39926, 110371, 122481, 16144, 22656, 17161, 76739, 104612, 102416, 198, 125821, 32977, 5486, 90962, 118517, 32131, 15682, 101402, 107873, 112415, 16144, 110993, 27384, 55031, 9039, 8107, 74482, 103296, 93298, 29220, 16144, 121894, 29295, 106307, 47884, 112973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 108710, 16144, 106548, 24273, 198, 102181, 104770, 102647, 78698, 30512, 126954, 56051, 110706, 57980, 16995, 57980, 28190, 30177, 38641, 1811, 28190, 30177, 103359, 105226, 103306, 115541, 108710, 30512, 30358, 101832, 38144, 33334, 47884, 109335, 19732, 111243, 27384, 102769, 26854, 100909, 38641, 9174, 28190, 30177, 16144, 115541, 108710, 123410, 100909, 102052, 5486, 102099, 106596, 107294, 105722, 31431, 5486, 105994, 30512, 21405, 102321, 54926, 112690, 16144, 110101, 116219, 122060, 123213, 87217, 16556, 120175, 100815, 102532, 117271, 108608, 5486, 105755, 108044, 116547, 126172, 16995, 87177, 15024, 24273, 16144, 20251, 44971, 118928, 94550, 29295, 108608, 104309, 121771, 115867, 39850, 37823, 67075, 107407, 55031, 38641, 9174, 28190, 30177, 107253, 104874, 16556, 125338, 33334, 105898, 16995, 8239, 114503, 109904, 115541, 108710, 41007, 30512, 48154, 126362, 78434, 9174, 28190, 30177, 115541, 108710, 38641, 30369, 125231, 100909, 198, 87177, 17663, 44915, 30512, 102181, 50834, 121406, 720, 28190, 30177, 16556, 103911, 101067, 107001, 105284, 99397, 19732, 58426, 113925, 30512, 102181, 50834, 20834, 39926, 116696, 48552, 78434, 1811, 101067, 23187, 109768, 104435, 105284, 99397, 113115, 39926, 16144, 104196, 103899, 20230, 118220, 76947, 103801, 16995, 5486, 87177, 29295, 46456, 106627, 121143, 117068, 115717, 5486, 102971, 91077, 99849, 29295, 108044, 58942, 106956, 100909, 103351, 104865, 29295, 17620, 55031, 123733, 76947, 114732, 105908, 57903, 33541, 9174, 105284, 99397, 16144, 37689, 111629, 113115, 39926, 67645, 120950, 106391, 13153, 16556, 113925, 30512, 126693, 57980, 16995, 104865, 30512, 61304, 107121, 39926, 33334, 50834, 33541, 9174, 72718, 105005, 108436, 102971, 16144, 89753, 33121, 16556, 106391, 13153, 112990, 120007, 105352, 108044, 116547, 126172, 47884, 123011, 62004, 126172, 16995, 38641, 118855, 5486, 120007, 29295, 56051, 105284, 99397, 113115, 39926, 5486, 115364, 106613, 111186, 30512, 108086, 17129, 112371, 30369, 100909, 112212, 108323, 50928, 48634, 29295, 115079, 109768, 50834, 33541, 9174, 13177, 72718, 10646, 11651, 101961, 78244, 113245, 39880, 70563, 64178, 113925, 198, 13177, 105005, 10646, 11651, 108477, 110, 104482, 5486, 21388, 113529, 5486, 114667, 198, 13177, 108436, 10646, 11651, 86222, 104662, 105226, 5486, 49792, 101908, 28542, 5486, 23226, 106594, 28542, 198, 13177, 102971, 10646, 11651, 87646, 101544, 5486, 113702, 198, 82973, 116700, 123410, 198, 28190, 30177, 15682, 43167, 108638, 38641, 30369, 107803, 32977, 43240, 47884, 112160, 17792, 20230, 111017, 105784, 82973, 29295, 83747, 100604, 38641, 118855, 5486, 21105, 96, 107277, 19732, 115364, 37689, 91774, 30512, 123011, 109315, 48634, 107407, 32149, 29295, 106081, 107001, 105908, 57903, 33541, 1811, 720, 58426, 103846, 5486, 28190, 30177, 102078, 29295, 105284, 99397, 123410, 104983, 20230, 13177, 15120, 78244, 16556, 59712, 16, 17620, 113314, 16556, 10646, 104309, 113925, 54926, 82973, 30512, 109823, 107001, 105908, 57903, 33541, 1811, 82973, 80805, 102514, 16073, 48154, 19732, 20230, 113925, 30512, 109242, 9039, 11883, 37689, 39926, 33334, 50834, 17129, 109954, 9174, 102131, 16995, 100472, 107253, 104874, 30512, 39926, 33334, 47884, 118733, 105047, 20230, 82973, 44416, 48249, 29295, 120267, 110968, 84389, 111243, 118220, 30369, 100909, 103470, 5486, 89783, 116664, 30512, 32977, 76947, 103899, 58942, 102204, 33541, 9174, 115541, 108710, 30512, 103721, 108, 31431, 104196, 17663, 198, 99849, 27479, 32977, 103721, 108, 31431, 104196, 17663, 109335, 109163, 61304, 54926, 113009, 23039, 30297, 102944, 77181, 124897, 1811, 87177, 17663, 44915, 30512, 105994, 20230, 114601, 31431, 104526, 104004, 118733, 5486, 109683, 33014, 5486, 32149, 59739, 17620, 107277, 126172, 16995, 89753, 33121, 16556, 87177, 122101, 101200, 108176, 105908, 113173, 38641, 1811, 103721, 108, 31431, 104196, 17663, 16325, 16556, 13177, 101544, 16995, 59712, 31958, 105184, 16556, 100604, 10646, 123160, 95221, 114308, 32977, 115079, 105262, 105879, 23226, 106594, 107294, 26854, 102639, 30369, 105908, 125545, 1811, 720, 567, 110124, 103, 99397, 84389, 120550, 44915, 30512, 101067, 23187, 15024, 113925, 30512, 78698, 105262, 198, 102099, 126362, 5486, 78228, 103192, 91875, 101513, 5486, 102099, 6616, 5486, 112415, 71289, 106613, 111186, 16556, 123457, 17701, 103468, 100909, 5486, 114435, 20230, 104655, 105898, 16995, 100909, 104309, 109853, 15682, 105284, 99397, 16144, 105184, 96455, 32977, 126574, 38641, 1811, 17701, 104611, 20230, 107253, 104874, 39926, 33334, 47884, 118733, 5486, 108010, 30297, 64936, 27479, 117758, 105284, 99397, 105352, 103899, 58942, 126172, 115737, 31431, 33541, 9174, 101275, 98220, 71289, 107430, 104091, 5486, 106608, 119890, 114435, 16144, 66378, 105284, 55031, 113727, 110071, 105284, 99397, 30512, 108608, 103378, 43240, 47884, 121216, 5486, 113925, 30512, 113727, 33541, 1811, 28190, 30177, 16144, 113925, 15682, 108729, 112535, 38093, 87177, 16144, 107391, 108981, 103672, 64178, 38641, 105879, 5486, 82973, 44416, 48249, 29295, 116700, 84389, 126386, 107803, 72661, 16, 17620, 23897, 32943, 30512, 30832, 51385, 20230, 107253, 104874, 112990, 112160, 24273, 112535, 87177, 39926, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 33121, 101860, 20230, 105721, 78183, 30369, 106592, 103181, 102639, 33541, 9174, 81258, 76706, 9458, 108436, 107430, 97518, 89046, 16144, 108134, 116229, 16556, 105284, 99397, 27452, 30512, 106767, 17663, 105908, 103082, 5486, 113925, 27452, 103296, 20834, 100934, 105908, 57903, 33541, 29295, 5486, 108038, 20230, 47260, 93298, 39926, 114732, 19732, 13177, 105994, 33503, 21105, 243, 10646, 29295, 33420, 107290, 103801, 61689, 109807, 103846, 102131, 16995, 100472, 113925, 15682, 116898, 111201, 115364, 106613, 111186, 71289, 114284, 30512, 120007, 126365, 122101, 104865, 102083, 100472, 102446, 20834, 16144, 121846, 103306, 91774, 30369, 106592, 33334, 53508, 100, 62004, 78434, 9174, 113925, 19967, 13153, 106826, 103830, 198, 9458, 113925, 16144, 57207, 96452, 37823, 90962, 30512, 112160, 59739, 15120, 59739, 112810, 20230, 83125, 16556, 102181, 50834, 20834, 78434, 1811, 720, 9458, 72718, 105005, 108436, 102971, 30512, 37689, 109375, 39926, 5486, 16, 17620, 104023, 3101, 19113, 113314, 16144, 119318, 116310, 32943, 16556, 123011, 62004, 33541, 9174, 9458, 57207, 96452, 37823, 90962, 16144, 107693, 120098, 20230, 68759, 105048, 5486, 125845, 118372, 30512, 113801, 33541, 9174, 9458, 58426, 107693, 120098, 30512, 23964, 229, 40089, 102181, 50834, 20230, 113487, 90397, 233, 78434, 9174, 9458, 118028, 76428, 115307, 113925, 39850, 102494, 126694, 13153, 78434, 9174, 31634, 28542, 30512, 58254, 252, 31431, 104526, 102189, 13177, 118028, 76428, 115307, 113925, 39850, 102494, 10646, 29295, 103082, 30591, 29295, 100472, 33503, 5486, 115541, 108710, 109156, 31431, 17129, 109954, 9174, 567, 112972, 30177, 115541, 108710, 16144, 104091, 104770, 19732, 71289, 31431, 32149, 28713, 198, 103350, 104983, 20230, 28190, 30177, 16144, 115541, 108710, 16144, 106548, 24273, 102052, 39135, 104680, 26854, 41007, 115991, 33541, 9174, 9458, 103672, 112900, 44971, 47260, 117697, 11972, 16556, 108565, 79785, 198, 44971, 47260, 117697, 11972, 20230, 108565, 79785, 112990, 5486, 71174, 16144, 20251, 107060, 71289, 126128, 21441, 248, 5486, 87177, 17663, 22398, 70563, 65575, 30512, 114140, 54926, 105908, 125545, 1811, 117399, 98499, 64121, 16144, 87177, 15024, 24273, 71289, 103856, 40526, 30512, 23226, 106594, 54926, 110115, 107734, 118013, 33541, 1811, 58942, 11972, 108149, 11972, 30512, 89046, 102404, 54926, 23706, 244, 32977, 23951, 37656, 125545, 9174, 9458, 117785, 16144, 25580, 16556, 20251, 44971, 118928, 94550, 198, 28190, 30177, 77181, 112690, 121142, 103470, 5486, 87177, 17663, 125344, 112741, 71289, 21105, 238, 30813, 104309, 32977, 91774, 124195, 61689, 1811, 115364, 103984, 101911, 16144, 91875, 50834, 32977, 114140, 21105, 103, 29295, 33503, 23039, 30297, 105908, 108608, 41007, 38641, 9174, 9458, 91482, 68408, 90962, 16556, 91875, 55723, 125152, 58322, 198, 108565, 55723, 54926, 118733, 5486, 115364, 37087, 33014, 16144, 91774, 74245, 15024, 123410, 105908, 125545, 1811, 110783, 110095, 71289, 23706, 244, 104309, 20230, 95221, 114308, 126172, 115737, 31431, 5486, 18904, 9039, 30512, 30358, 101832, 30369, 48154, 19732, 20230, 109683, 33014, 16556, 87177, 122101, 101200, 115717, 33541, 1811, 28190, 30177, 102078, 29295, 101682, 105784, 104371, 47523, 30512, 105994, 16556, 114140, 21105, 103, 29295, 33503, 23039, 30297, 105908, 108608, 103846, 5486, 65854, 114181, 112535, 109606, 28542, 30512, 102178, 111665, 108608, 101200, 115717, 33541, 9174, 9458, 98915, 17792, 71289, 122013, 5486, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 126365, 111243, 33503, 30297, 198, 41642, 111331, 17792, 20230, 117943, 104127, 28190, 30177, 102078, 107734, 101983, 114598, 33503, 61689, 1811, 113925, 30512, 104655, 102532, 32977, 110706, 96455, 74245, 26854, 99750, 101067, 30512, 32018, 62004, 17129, 109954, 1811, 17620, 107277, 20230, 47884, 16995, 28542, 5486, 95221, 108176, 106592, 64467, 112419, 120837, 33503, 100472, 33503, 5486, 72238, 74245, 20230, 23226, 106594, 20230, 108167, 115856, 107277, 33541, 9174, 114363, 103722, 16144, 107391, 104612, 109713, 60868, 33710, 47307, 52414, 104309, 20230, 54872, 101658, 105, 28190, 30177, 126130, 124730, 54926, 105908, 103082, 104533, 5486, 107420, 16144, 103984, 28542, 55031, 39880, 45923, 66953, 112900, 114475, 105784, 105908, 125545, 1811, 66378, 20230, 5486, 105284, 99397, 113115, 39926, 9554, 30512, 105644, 100934, 32149, 5486, 43568, 102147, 226, 20230, 101544, 16995, 113925, 16144, 99849, 30512, 66870, 105784, 32149, 104309, 9554, 105184, 26854, 64467, 112419, 15682, 107734, 20230, 118013, 33541, 9174, 30537, 18, 112919, 37689, 91774, 102677, 104468, 5486, 105994, 77181, 95221, 114308, 20230, 47884, 16995, 100909, 120098, 30512, 64467, 112419, 39926, 124089, 105908, 127181, 105879, 5486, 112371, 104328, 115541, 108710, 20230, 108167, 125639, 17129, 109954, 9174, 115541, 108710, 30512, 8239, 114503, 112535, 54926, 124122, 120098, 198, 28190, 30177, 115541, 108710, 30512, 8239, 114503, 112535, 103130, 109315, 113009, 37689, 109375, 54926, 120098, 5486, 114140, 30926, 105904, 30512, 48154, 126362, 78434, 9174, 14711, 63415, 113925, 29295, 101544, 120195, 100604, 32149, 198, 87177, 17663, 110366, 16144, 16, 17620, 19732, 104655, 47884, 110366, 16144, 16, 17620, 15682, 101544, 30813, 16144, 99750, 112854, 29295, 108010, 61689, 1811, 101544, 16995, 113925, 15682, 27384, 102769, 26854, 105494, 30512, 109416, 71289, 76622, 107726, 5486, 124042, 112535, 99849, 29295, 78244, 102334, 102518, 104865, 17620, 107277, 20230, 47884, 47884, 107726, 38144, 114732, 107803, 115991, 33541, 1811, 16, 17620, 23897, 32943, 16556, 123011, 109315, 104466, 103801, 109954, 9174, 14711, 63415, 38093, 87177, 101983, 103836, 32149, 198, 28190, 30177, 15682, 28190, 30177, 102078, 19732, 38093, 87177, 102677, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 30512, 19732, 31431, 106272, 103130, 104004, 102944, 38641, 1811, 107253, 104874, 39926, 105898, 113925, 30512, 114284, 20834, 102131, 117408, 30591, 109709, 20230, 5486, 38093, 87177, 29295, 105557, 22957, 43514, 100604, 5486, 101513, 109472, 109904, 87177, 15024, 24273, 5486, 78525, 44971, 28713, 113925, 30512, 22398, 112718, 32131, 87177, 109768, 104533, 109163, 61304, 39926, 50834, 90620, 76622, 118816, 15017, 231, 58942, 124195, 103801, 61689, 9174, 14711, 63415, 113925, 15682, 118789, 9554, 32149, 104405, 32149, 198, 113925, 15682, 120007, 20230, 17620, 107277, 126172, 16995, 104023, 108044, 78183, 30369, 102944, 16556, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 59614, 101860, 118789, 109904, 106613, 111186, 123160, 44915, 30512, 17701, 106824, 28190, 30177, 102078, 29295, 25197, 126989, 15024, 126172, 16995, 101200, 55487, 101557, 106, 78434, 9174, 14711, 63415, 103984, 101911, 71289, 21105, 238, 30813, 20230, 109606, 120937, 32149, 198, 28190, 30177, 102078, 15682, 87177, 116749, 105352, 107328, 27479, 16556, 106608, 119890, 30046, 104088, 127280, 1811, 118322, 91875, 50834, 71289, 112741, 20230, 5486, 46034, 102780, 16144, 91875, 50834, 102052, 61633, 29295, 109215, 38641, 1811, 17905, 30832, 124955, 16995, 5486, 118146, 114146, 100604, 5486, 17297, 30512, 70141, 50834, 29295, 43514, 5486, 50834, 103701, 85791, 50834, 103701, 85791, 54926, 5486, 108429, 105068, 108176, 5486, 87177, 17663, 125344, 40526, 24186, 30512, 109835, 30369, 23706, 244, 104309, 95221, 30512, 47000, 105784, 104466, 103801, 109954, 9174, 28190, 30177, 16144, 115541, 108710, 15682, 71289, 104984, 109134, 108680, 105994, 30512, 65854, 114181, 112535, 106596, 108608, 101200, 115717, 5486, 115364, 104195, 64121, 104309, 30512, 88356, 104736, 109375, 54926, 118733, 37026, 22023, 116825, 105784, 105908, 125545, 1811, 28190, 30177, 113245, 105284, 99397, 30512, 47406, 104812, 100, 20230, 103911, 108867, 54926, 109335, 103082, 107515, 29295, 5486, 115541, 108710, 30512, 103792, 32149, 116898, 100604, 32149, 16556, 20834, 38144, 109749, 112690, 15682, 124500, 76947, 50834, 33541, 1811, 8239, 114503, 109904, 107253, 104874, 16556, 21105, 96, 107277, 39880, 70563, 64178, 108608, 101200, 115717, 17129, 109954, 1811, 128001, 128000, 58911, 32943, 37656, 112163, 10110, 71289, 17129, 117591, 9458, 17129, 30813, 19732, 15024, 7705, 105416, 79059, 101402, 107873, 39276, 108396, 30046, 5486, 22398, 111234, 114228, 16073, 29504, 80195, 118347, 61398, 118656, 121224, 102473, 102351, 198, 22398, 111234, 114228, 16073, 29504, 80195, 118347, 61398, 118656, 121224, 102473, 102351, 1811, 20713, 68093, 66115, 34617, 8107, 108931, 102667, 22649, 48864, 34048, 124305, 115132, 112718, 71493, 102667, 127960, 118656, 121224, 20230, 104650, 48864, 5486, 121987, 18476, 115181, 1811, 127960, 71289, 115461, 78519, 16144, 125540, 78525, 68759, 9458, 101721, 117450, 95221, 102321, 47523, 10110, 108867, 23187, 19732, 50338, 98871, 7705, 29295, 114363, 103722, 1811, 81191, 27113, 20713, 116033, 104603, 93488, 66953, 110494, 111571, 103550, 104336, 30512, 102404, 103429, 15024, 20713, 8107, 56965, 17701, 94923, 1811, 27113, 34617, 8107, 55031, 117876, 20230, 109095, 112454, 5486, 112599, 32977, 37823, 102040, 91482, 37823, 30512, 106307, 76622, 106272, 68093, 111017, 113314, 16144, 114731, 102781, 30512, 22957, 26854, 103792, 1811, 62903, 33710, 96452, 23530, 19000, 101987, 9174, 64780, 107420, 106384, 64178, 15682, 53229, 108630, 103306, 5486, 105242, 103605, 20230, 114626, 20230, 116043, 116882, 56051, 40265, 125344, 102944, 38641, 198, 39850, 76171, 39850, 78683, 109496, 30512, 19732, 81219, 39926, 110371, 122481, 16144, 22656, 17161, 76739, 104612, 102416, 198, 125821, 32977, 5486, 90962, 118517, 32131, 15682, 101402, 107873, 112415, 16144, 110993, 27384, 55031, 9039, 8107, 74482, 103296, 93298, 29220, 16144, 121894, 29295, 106307, 47884, 112973 ]
[ 110219, 109860, 5486, 110993, 27384, 103378, 29295, 91774, 58942, 126172, 16995, 102677, 120267, 24273, 15682, 16906, 111, 28741, 34171, 20230, 124490, 105784, 29295, 5486, 24186, 104680, 125144, 104364, 16144, 127181, 105184, 96455, 16144, 87177, 20230, 16906, 111, 28741, 30813, 30512, 32018, 109315, 123017, 102212, 127331, 26854, 87177, 26854, 105879, 5486, 110993, 27384, 23538, 29295, 90962, 118517, 32131, 16144, 93298, 29220, 36785, 102677, 27384, 122202, 102178, 26854, 120267, 24273, 123410, 112973, 110219, 36785, 1811, 103350, 104983, 5486, 90962, 118517, 32131, 114181, 101426, 65854, 29295, 89408, 15682, 105047, 115079, 103792, 9174, 110229, 29295, 5486, 57942, 251, 64209, 16144, 101402, 107873, 112415, 110993, 27384, 23538, 29295, 37271, 18904, 15682, 104405, 105352, 103826, 45829, 119279, 32149, 102800, 1811, 105184, 111201, 111199, 28542, 16144, 9039, 71289, 101402, 107873, 101721, 103682, 15682, 115251, 115079, 107800, 105272, 29295, 5486, 127177, 110993, 27384, 23538, 20230, 57106, 115694, 108008, 20230, 83747, 100604, 105272, 1811, 111199, 28542, 9039, 16144, 114181, 108867, 15682, 25963, 44597, 27113, 8107, 71689, 16144, 114172, 102512, 107407, 29295, 108048, 103732, 104533, 78250, 27113, 8107, 104369, 31431, 102083, 105262, 103167, 104873, 26854, 112415, 36785, 1811, 101402, 107873, 71289, 101402, 107873, 104346, 111848, 101721, 106627, 114050, 111363, 117375, 5486, 27452, 116285, 90962, 118517, 32131, 16144, 118430, 27479, 71289, 30590, 117450, 95221, 16144, 104721, 91875, 104856, 104533, 5486, 20713, 68093, 66115, 27113, 112425, 71289, 20713, 68093, 68093, 27113, 112425, 16144, 110993, 31809, 23538, 105360, 64121, 20230, 112415, 29295, 103167, 16995, 1811, 59739, 109709, 5486, 90962, 118517, 32131, 112415, 71289, 30590, 117450, 95221, 112415, 16144, 103167, 30813, 15682, 5486, 101402, 107873, 111199, 28542, 9039, 16144, 83747, 26854, 30813, 103378, 77181, 122984, 118765, 108680, 20230, 110993, 79982, 26854, 105272, 1811, 27452, 116285, 86127, 29295, 40452, 103792, 117450, 48634, 82420, 113245, 104721, 91875, 109846, 5486, 111629, 16144, 105310, 39135, 16144, 105494, 16556, 125261, 126693, 17620, 117295, 104466, 5486, 44597, 27113, 8107, 71689, 25580, 55031, 27704, 117864, 114181, 108867, 102512, 17905, 16556, 5486, 127177, 110993, 31809, 23538, 30512, 104364, 15024, 22324, 102532, 25963, 87217, 30832, 20230, 112415, 27479, 29295, 103167, 16995, 9174, 108895, 95604, 108901, 40053, 113115, 15024, 112160, 87217, 85707, 62004, 20230, 21105, 103, 118145, 105110, 100604, 104468, 114181, 108867, 119526, 30512, 50834, 43514, 127842, 18655, 30369, 100909, 103195, 1811, 16995, 126910, 13177, 103911, 101067, 59712, 57207, 119263, 44971, 38248, 115, 78205, 16073, 118587, 56051, 110229, 16556, 108048, 15682, 110577, 53283, 16144, 119526, 30512, 24186, 20230, 56051, 101067, 66201, 20230, 103188, 105557, 101860, 5486, 39442, 106613, 111186, 16144, 102321, 47523, 102052, 107734, 20230, 80195, 28713, 100604, 1811, 17297, 112909, 112990, 117271, 30512, 125144, 117063, 30369, 125396, 17663, 33503, 101182, 1811, 109860, 110371, 104091, 16144, 127960, 102321, 47523, 123863, 127123, 121606, 103195, 3624, 4327, 9377, 10110, 791, 38130, 10554, 389, 25450, 10335, 53686, 28415, 5232, 101402, 107873, 127960, 39276, 118656, 48864, 9458, 108396, 114373, 38093, 7705, 32977, 5486, 101402, 107873, 110993, 27384, 23538, 16144, 127960, 113115, 54926, 117375, 30512, 50834, 43514, 127842, 119526, 20230, 18655, 76947, 102473, 54926, 106592, 5486, 59739, 16995, 20713, 9953, 20230, 17161, 102181, 16556, 84851, 28194, 101, 56051, 122416, 36785, 9174, 80673, 111476, 37087, 106901, 16073, 33710, 80805, 48552, 105110, 22656, 16144, 77219, 29295, 98499, 64121, 54322, 104482, 9174, 105242, 103605, 77181, 114387, 77219, 32977, 126909, 38641, 1811, 108031, 98499, 64121, 79721, 32149, 95532, 103293, 9080, 116491, 68408, 76428, 122258, 10110, 118192, 101198, 39880, 91062, 47260, 61398, 9458, 99959, 112193, 47260, 61398, 120732, 19361, 42506, 109198, 98499, 112919, 24273, 105110, 5486, 77750, 76171, 54926, 121142, 198, 105242, 103605, 16144, 37087, 47260, 108304, 119495, 126130, 105465, 21105, 123, 115962, 76622, 33541, 1811, 128001, 128000, 110653, 22656, 30590, 110441, 114556, 89046, 39926, 5486, 78943, 45893, 108768, 37823, 47260, 57326, 102514, 16144, 105522, 240, 79785, 109853, 105856, 106053, 54926, 118823, 17905, 16144, 71174, 71289, 5486, 41, 35263, 118331, 61398, 123160, 77219, 29295, 91774, 101682, 76622, 102204, 33541, 127211, 126462, 104698, 19732, 102769, 114598, 102769, 110615, 41920, 33671, 126462, 104698, 109904, 109606, 112028, 59739, 116787, 5486, 101778, 102433, 27384, 110441, 126462, 16144, 39177, 105352, 108167, 109415, 109115, 87177, 104482, 38641, 9174, 37026, 108581, 104542, 71289, 45923, 29220, 47307, 25005, 246, 37823, 104309, 5486, 108057, 51609, 112415, 124911, 102351, 29295, 110498, 103836, 105110, 107173, 32149, 47884, 5486, 78943, 45893, 16144, 108768, 37823, 47260, 57326, 102514, 111848, 18655, 103234, 15682, 5486, 83747, 103470, 107173, 101307, 126462, 30590, 125030, 76947, 119448, 47884, 107734, 20230, 80195, 59739, 102944, 77181, 124897, 1811, 108270, 42634, 116446, 102717, 102800, 107118, 114284, 107515, 29295, 5486, 127123, 109904, 124011, 109089, 114300, 83301, 107809, 120321, 19732, 42016, 103826, 5486, 78943, 45893, 101513, 97518, 30512, 106691, 39926, 16, 93, 17, 55038, 20230, 123011, 109315, 104309, 5486, 111419, 16144, 55487, 101557, 106, 15682, 109215, 36785, 106046, 123671, 33541, 9174, 51330, 28713, 102802, 5486, 78943, 45893, 101513, 97518, 126194, 29504, 117018, 22649, 94923, 29295, 5486, 110653, 22656, 30590, 110441, 16556, 103553, 102, 127258, 56051, 103478, 120329, 27384, 106554, 30512, 45923, 42634, 107060, 16556, 125152, 58322, 56051, 106482, 66201, 30512, 121298, 121256, 1811, 101307, 126462, 30590, 20230, 119870, 64121, 104526, 17129, 100604, 100909, 19732, 105522, 240, 79785, 29295, 83747, 100604, 109335, 45923, 42634, 107060, 16144, 60632, 28542, 116787, 5486, 110441, 126462, 78943, 45893, 20230, 76706, 11883, 54926, 109335, 19361, 126120, 103195, 106046, 61689, 1811, 103268, 28190, 5486, 101307, 126462, 30046, 71289, 101307, 126462, 46729, 102571, 30512, 43568, 64889, 16556, 125152, 58322, 39926, 114732, 100909, 71289, 5486, 106121, 102057, 99, 20230, 101557, 96, 110615, 100909, 111848, 123429, 104309, 111363, 103435, 116, 104611, 115991, 5486, 110441, 126462, 78943, 45893, 16144, 103223, 64178, 103306, 45923, 42634, 107060, 29295, 51385, 23187, 112535, 76706, 109526, 235, 54926, 102052, 112185, 112185, 82973, 29295, 32149, 117295, 123253, 1811, 128001, 128000, 118091, 65299, 16144, 198, 117539, 51609, 108295, 60596, 27113, 21909, 66224, 27113, 8107, 5486, 62903, 107805, 16144, 117539, 51609, 15682, 81191, 21909, 25963, 66224, 8107, 19732, 5486, 165, 36246, 101662, 17297, 77181, 27384, 112495, 123726, 53953, 15682, 101544, 123726, 30512, 21105, 251, 30297, 26854, 112391, 29295, 78434, 29295, 5486, 123044, 107809, 72661, 33014, 29295, 119448, 16995, 113978, 52414, 66953, 109793, 65575, 108295, 15120, 33014, 67645, 33121, 120264, 16144, 82973, 30512, 5486, 103926, 123044, 103306, 126419, 20230, 103188, 48154, 122101, 105879, 109954, 32149, 9174, 567, 113978, 52414, 66953, 109793, 65575, 15682, 37689, 48915, 19732, 117539, 51609, 29295, 106649, 16995, 76947, 53283, 106358, 95532, 14711, 113978, 52414, 66953, 109793, 65575, 109853, 198, 11881, 242, 42634, 108941, 122845, 77181, 102669, 119895, 16144, 113009, 120117, 115541, 84389, 101732, 5486, 102494, 42634, 114741, 123044, 102677, 123044, 104091, 125001, 79721, 9174, 112599, 77181, 115924, 121143, 39926, 114604, 123044, 104091, 119627, 5486, 64810, 52414, 66953, 109793, 65575, 15682, 58426, 104473, 114475, 76622, 120321, 117201, 61689, 9174, 58426, 113009, 5486, 102669, 119895, 20230, 19361, 60632, 26854, 33014, 16556, 5486, 33014, 30358, 15682, 83747, 103470, 107173, 44597, 27113, 15755, 233, 15755, 229, 71689, 15682, 57903, 110745, 112495, 33014, 35083, 30512, 33563, 59739, 124122, 5486, 21105, 96, 107277, 56051, 110135, 35083, 19732, 119049, 107079, 20230, 117633, 78183, 106824, 61689, 9174, 101307, 105811, 32977, 99959, 112193, 47260, 84477, 102677, 127862, 30358, 106391, 67178, 16144, 33563, 104840, 34171, 29295, 113487, 104336, 16144, 105811, 107898, 33334, 78183, 106824, 61689, 9174, 33014, 29295, 80988, 239, 113359, 26854, 100909, 19732, 101307, 105811, 16144, 112950, 30813, 119707, 78183, 106824, 5486, 107908, 57326, 22398, 58911, 16325, 16144, 59999, 100, 94923, 16556, 108057, 103129, 123044, 103306, 76706, 109526, 235, 56051, 113009, 5486, 17792, 116499, 16556, 38144, 19361, 13372, 115717, 79721, 9174, 15120, 39177, 23538, 5486, 64810, 52414, 66953, 109793, 65575, 32977, 115924, 121143, 16144, 109688, 101513, 20230, 14309, 98, 31431, 79721, 29295, 5486, 112361, 104466, 33014, 35083, 16144, 119448, 16995, 118331, 112694, 102439, 102860, 116670, 123044, 19732, 39209, 55487, 124545, 118733, 5486, 109688, 101513, 30512, 110645, 121256, 9174, 14711, 113978, 52414, 66953, 109793, 65575, 16144, 117539, 51609, 198, 64810, 52414, 66953, 109793, 65575, 16144, 115274, 117539, 51609, 15682, 37689, 48915, 26854, 120266, 5486, 66115, 21909, 78250, 97049, 16556, 123044, 104091, 107809, 72661, 37689, 48915, 19732, 106649, 16995, 105908, 78183, 107277, 33541, 1811, 33014, 29295, 119448, 47884, 38144, 80988, 239, 113359, 102131, 109860, 5486, 117539, 51609, 29295, 101544, 118544, 102677, 19732, 102131, 95604, 117735, 72661, 100604, 117840, 9174, 103350, 104983, 110745, 25287, 123044, 16144, 117539, 51609, 30512, 104873, 115694, 64121, 104533, 5486, 103621, 64178, 68408, 16073, 44971, 122148, 110590, 16556, 115274, 117539, 51609, 29295, 78250, 21909, 20713, 20713, 97049, 5486, 41758, 44971, 84477, 70563, 44971, 78683, 106240, 16556, 78250, 21909, 20713, 25963, 97049, 5486, 103672, 33710, 118091, 25197, 16556, 66224, 21909, 78250, 97049, 19732, 117952, 106824, 61689, 9174, 80539, 31809, 25287, 123044, 77181, 5486, 78459, 102756, 102756, 16556, 20713, 46702, 21909, 20713, 44597, 97049, 5486, 20251, 25197, 57326, 65575, 33710, 16556, 20713, 34617, 21909, 20713, 46702, 97049, 5486, 101198, 78683, 123577, 39880, 99959, 107840, 72661, 20713, 46702, 21909, 20713, 44597, 97049, 19732, 120268, 25287, 123044, 120332, 29295, 117539, 51609, 29295, 101544, 16995, 105908, 103424, 47884, 78183, 107277, 33541, 9174, 26854, 112371, 27384, 25287, 123044, 120332, 29295, 117539, 51609, 29295, 106649, 16995, 104865, 102677, 104468, 5486, 120328, 108323, 57903, 33541, 29295, 5486, 103350, 104983, 78183, 32149, 107462, 104533, 107404, 77181, 5486, 13153, 101544, 113053, 16144, 95399, 30813, 29295, 33014, 20230, 109972, 106529, 30512, 58318, 58942, 100934, 102677, 108323, 29295, 19361, 48634, 38641, 9174, 31809, 25287, 123044, 105110, 81219, 5486, 9039, 8107, 32149, 107441, 9039, 101198, 37823, 110135, 29295, 13153, 101544, 54926, 110115, 110745, 25287, 123044, 127303, 104984, 9039, 8107, 16556, 99849, 64810, 109482, 32977, 110135, 29295, 110137, 102802, 38144, 23039, 50834, 33541, 109807, 17620, 5486, 33014, 37087, 33014, 111363, 109972, 106529, 32977, 119448, 115737, 31431, 5486, 33014, 29295, 110480, 106608, 54926, 123017, 105047, 117201, 23039, 126832, 16144, 38641, 9174, 120550, 104533, 92877, 33208, 32977, 105047, 95399, 120650, 126832, 105879, 5486, 59614, 61994, 112535, 117539, 51609, 29295, 106649, 115737, 76947, 103801, 61689, 1811, 31809, 25287, 123044, 20230, 57106, 103854, 104533, 5486, 112361, 20713, 116358, 13153, 101544, 72661, 33655, 30297, 76739, 124643, 104603, 115247, 33420, 106382, 33857, 29295, 35083, 38574, 20230, 119448, 117714, 38641, 9174, 64810, 52414, 66953, 109793, 65575, 15682, 123044, 104091, 107809, 72661, 5486, 72404, 27384, 25287, 123044, 20230, 17620, 104770, 107001, 113009, 5486, 80988, 239, 113359, 26854, 33014, 114792, 76947, 102532, 32977, 5486, 117539, 51609, 15682, 106649, 115737, 76947, 114732, 16144, 38641, 9174, 14711, 113978, 52414, 66953, 109793, 65575, 16144, 34171, 35083, 198, 64810, 52414, 66953, 109793, 65575, 15682, 5486, 91774, 28713, 30832, 15682, 119448, 47884, 38144, 119467, 16995, 25197, 126989, 119627, 5486, 34171, 35083, 15682, 58426, 89151, 116900, 16556, 5486, 33354, 237, 34208, 16556, 119436, 106624, 5486, 91763, 101557, 106, 102987, 16995, 123044, 16556, 19732, 111243, 104622, 102800, 34171, 35083, 30512, 127145, 9174, 99849, 30926, 105352, 115200, 108623, 104195, 47884, 5486, 105994, 16556, 122225, 39926, 58318, 58942, 109115, 107734, 111017, 30512, 28873, 28713, 102131, 19732, 78434, 127211, 112495, 33014, 119627, 5486, 121551, 34171, 29295, 103470, 114318, 111243, 126053, 16995, 105879, 5486, 45829, 67645, 32977, 19732, 126419, 116446, 102532, 32977, 51385, 64209, 108608, 123044, 104091, 38641, 9174, 80673, 33014, 29295, 119448, 47884, 5486, 107471, 105564, 16144, 104983, 20230, 73686, 42891, 105714, 109115, 31431, 56051, 121142, 5486, 45829, 67645, 32977, 71289, 111482, 15682, 113801, 101860, 124195, 102663, 102472, 30512, 67016, 101832, 107515, 9174, 31809, 65316, 119400, 55031, 5486, 37823, 65575, 30512, 43568, 22649, 71289, 31431, 73686, 42891, 105714, 30369, 23706, 244, 71289, 5486, 17792, 20230, 107850, 102802, 59739, 47884, 23706, 244, 5486, 113938, 102149, 31431, 118158, 31431, 54926, 105933, 106592, 21105, 103, 16995, 104466, 5486, 17905, 124475, 21105, 97, 105784, 105908, 19732, 111243, 107693, 38641, 9174, 14711, 113978, 52414, 66953, 109793, 65575, 29295, 125119, 15024, 126172, 16995, 103429, 95221, 198, 64810, 52414, 66953, 109793, 65575, 15682, 27384, 25287, 123044, 16144, 116547, 102052, 5486, 61826, 36827, 109904, 103429, 116499, 83747, 100604, 123044, 104091, 119627, 5486, 104473, 107654, 16144, 23706, 234, 19732, 127173, 104028, 109161, 34171, 107805, 80805, 101921, 104, 115717, 126172, 16995, 101427, 122, 70141, 20230, 57903, 33541, 9174, 108038, 26854, 103911, 103181, 41007, 15682, 124897, 29295, 5486, 9080, 48154, 85791, 55031, 5486, 110101, 26269, 57207, 94550, 71289, 40526, 16144, 102663, 39880, 30512, 21105, 103, 29295, 33503, 5486, 101921, 104, 115032, 110229, 120937, 32149, 124490, 32149, 30813, 101860, 116696, 48552, 39926, 122765, 38144, 72315, 9174, 43511, 105352, 5486, 72404, 27384, 25287, 123044, 29295, 26854, 31431, 126172, 16995, 91939, 225, 15017, 119, 108436, 19732, 127173, 104028, 5486, 32943, 26274, 241, 29295, 15017, 119, 100204, 106824, 114732, 103429, 95221, 105352, 26854, 31431, 126172, 47884, 5486, 91774, 110074, 17663, 19732, 102625, 19732, 74245, 102971, 39926, 114732, 103429, 95221, 38641, 9174, 103572, 38574, 55031, 112160, 18904, 20230, 43240, 119064, 33857, 16144, 101960, 234, 30512, 28713, 103854, 107726, 100604, 104466, 5486, 83747, 33857, 30512, 9039, 18904, 20230, 78183, 107441, 101960, 234, 30512, 122765, 5486, 102456, 30926, 16144, 104983, 15682, 61075, 29295, 103302, 29295, 110104, 104466, 122603, 30813, 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 ]
[ 110219, 109860, 5486, 110993, 27384, 103378, 29295, 91774, 58942, 126172, 16995, 102677, 120267, 24273, 15682, 16906, 111, 28741, 34171, 20230, 124490, 105784, 29295, 5486, 24186, 104680, 125144, 104364, 16144, 127181, 105184, 96455, 16144, 87177, 20230, 16906, 111, 28741, 30813, 30512, 32018, 109315, 123017, 102212, 127331, 26854, 87177, 26854, 105879, 5486, 110993, 27384, 23538, 29295, 90962, 118517, 32131, 16144, 93298, 29220, 36785, 102677, 27384, 122202, 102178, 26854, 120267, 24273, 123410, 112973, 110219, 36785, 1811, 103350, 104983, 5486, 90962, 118517, 32131, 114181, 101426, 65854, 29295, 89408, 15682, 105047, 115079, 103792, 9174, 110229, 29295, 5486, 57942, 251, 64209, 16144, 101402, 107873, 112415, 110993, 27384, 23538, 29295, 37271, 18904, 15682, 104405, 105352, 103826, 45829, 119279, 32149, 102800, 1811, 105184, 111201, 111199, 28542, 16144, 9039, 71289, 101402, 107873, 101721, 103682, 15682, 115251, 115079, 107800, 105272, 29295, 5486, 127177, 110993, 27384, 23538, 20230, 57106, 115694, 108008, 20230, 83747, 100604, 105272, 1811, 111199, 28542, 9039, 16144, 114181, 108867, 15682, 25963, 44597, 27113, 8107, 71689, 16144, 114172, 102512, 107407, 29295, 108048, 103732, 104533, 78250, 27113, 8107, 104369, 31431, 102083, 105262, 103167, 104873, 26854, 112415, 36785, 1811, 101402, 107873, 71289, 101402, 107873, 104346, 111848, 101721, 106627, 114050, 111363, 117375, 5486, 27452, 116285, 90962, 118517, 32131, 16144, 118430, 27479, 71289, 30590, 117450, 95221, 16144, 104721, 91875, 104856, 104533, 5486, 20713, 68093, 66115, 27113, 112425, 71289, 20713, 68093, 68093, 27113, 112425, 16144, 110993, 31809, 23538, 105360, 64121, 20230, 112415, 29295, 103167, 16995, 1811, 59739, 109709, 5486, 90962, 118517, 32131, 112415, 71289, 30590, 117450, 95221, 112415, 16144, 103167, 30813, 15682, 5486, 101402, 107873, 111199, 28542, 9039, 16144, 83747, 26854, 30813, 103378, 77181, 122984, 118765, 108680, 20230, 110993, 79982, 26854, 105272, 1811, 27452, 116285, 86127, 29295, 40452, 103792, 117450, 48634, 82420, 113245, 104721, 91875, 109846, 5486, 111629, 16144, 105310, 39135, 16144, 105494, 16556, 125261, 126693, 17620, 117295, 104466, 5486, 44597, 27113, 8107, 71689, 25580, 55031, 27704, 117864, 114181, 108867, 102512, 17905, 16556, 5486, 127177, 110993, 31809, 23538, 30512, 104364, 15024, 22324, 102532, 25963, 87217, 30832, 20230, 112415, 27479, 29295, 103167, 16995, 9174, 108895, 95604, 108901, 40053, 113115, 15024, 112160, 87217, 85707, 62004, 20230, 21105, 103, 118145, 105110, 100604, 104468, 114181, 108867, 119526, 30512, 50834, 43514, 127842, 18655, 30369, 100909, 103195, 1811, 16995, 126910, 13177, 103911, 101067, 59712, 57207, 119263, 44971, 38248, 115, 78205, 16073, 118587, 56051, 110229, 16556, 108048, 15682, 110577, 53283, 16144, 119526, 30512, 24186, 20230, 56051, 101067, 66201, 20230, 103188, 105557, 101860, 5486, 39442, 106613, 111186, 16144, 102321, 47523, 102052, 107734, 20230, 80195, 28713, 100604, 1811, 17297, 112909, 112990, 117271, 30512, 125144, 117063, 30369, 125396, 17663, 33503, 101182, 1811, 109860, 110371, 104091, 16144, 127960, 102321, 47523, 123863, 127123, 121606, 103195, 3624, 4327, 9377, 10110, 791, 38130, 10554, 389, 25450, 10335, 53686, 28415, 5232, 101402, 107873, 127960, 39276, 118656, 48864, 9458, 108396, 114373, 38093, 7705, 32977, 5486, 101402, 107873, 110993, 27384, 23538, 16144, 127960, 113115, 54926, 117375, 30512, 50834, 43514, 127842, 119526, 20230, 18655, 76947, 102473, 54926, 106592, 5486, 59739, 16995, 20713, 9953, 20230, 17161, 102181, 16556, 84851, 28194, 101, 56051, 122416, 36785, 9174, 80673, 111476, 37087, 106901, 16073, 33710, 80805, 48552, 105110, 22656, 16144, 77219, 29295, 98499, 64121, 54322, 104482, 9174, 105242, 103605, 77181, 114387, 77219, 32977, 126909, 38641, 1811, 108031, 98499, 64121, 79721, 32149, 95532, 103293, 9080, 116491, 68408, 76428, 122258, 10110, 118192, 101198, 39880, 91062, 47260, 61398, 9458, 99959, 112193, 47260, 61398, 120732, 19361, 42506, 109198, 98499, 112919, 24273, 105110, 5486, 77750, 76171, 54926, 121142, 198, 105242, 103605, 16144, 37087, 47260, 108304, 119495, 126130, 105465, 21105, 123, 115962, 76622, 33541, 1811, 128001, 128000, 110653, 22656, 30590, 110441, 114556, 89046, 39926, 5486, 78943, 45893, 108768, 37823, 47260, 57326, 102514, 16144, 105522, 240, 79785, 109853, 105856, 106053, 54926, 118823, 17905, 16144, 71174, 71289, 5486, 41, 35263, 118331, 61398, 123160, 77219, 29295, 91774, 101682, 76622, 102204, 33541, 127211, 126462, 104698, 19732, 102769, 114598, 102769, 110615, 41920, 33671, 126462, 104698, 109904, 109606, 112028, 59739, 116787, 5486, 101778, 102433, 27384, 110441, 126462, 16144, 39177, 105352, 108167, 109415, 109115, 87177, 104482, 38641, 9174, 37026, 108581, 104542, 71289, 45923, 29220, 47307, 25005, 246, 37823, 104309, 5486, 108057, 51609, 112415, 124911, 102351, 29295, 110498, 103836, 105110, 107173, 32149, 47884, 5486, 78943, 45893, 16144, 108768, 37823, 47260, 57326, 102514, 111848, 18655, 103234, 15682, 5486, 83747, 103470, 107173, 101307, 126462, 30590, 125030, 76947, 119448, 47884, 107734, 20230, 80195, 59739, 102944, 77181, 124897, 1811, 108270, 42634, 116446, 102717, 102800, 107118, 114284, 107515, 29295, 5486, 127123, 109904, 124011, 109089, 114300, 83301, 107809, 120321, 19732, 42016, 103826, 5486, 78943, 45893, 101513, 97518, 30512, 106691, 39926, 16, 93, 17, 55038, 20230, 123011, 109315, 104309, 5486, 111419, 16144, 55487, 101557, 106, 15682, 109215, 36785, 106046, 123671, 33541, 9174, 51330, 28713, 102802, 5486, 78943, 45893, 101513, 97518, 126194, 29504, 117018, 22649, 94923, 29295, 5486, 110653, 22656, 30590, 110441, 16556, 103553, 102, 127258, 56051, 103478, 120329, 27384, 106554, 30512, 45923, 42634, 107060, 16556, 125152, 58322, 56051, 106482, 66201, 30512, 121298, 121256, 1811, 101307, 126462, 30590, 20230, 119870, 64121, 104526, 17129, 100604, 100909, 19732, 105522, 240, 79785, 29295, 83747, 100604, 109335, 45923, 42634, 107060, 16144, 60632, 28542, 116787, 5486, 110441, 126462, 78943, 45893, 20230, 76706, 11883, 54926, 109335, 19361, 126120, 103195, 106046, 61689, 1811, 103268, 28190, 5486, 101307, 126462, 30046, 71289, 101307, 126462, 46729, 102571, 30512, 43568, 64889, 16556, 125152, 58322, 39926, 114732, 100909, 71289, 5486, 106121, 102057, 99, 20230, 101557, 96, 110615, 100909, 111848, 123429, 104309, 111363, 103435, 116, 104611, 115991, 5486, 110441, 126462, 78943, 45893, 16144, 103223, 64178, 103306, 45923, 42634, 107060, 29295, 51385, 23187, 112535, 76706, 109526, 235, 54926, 102052, 112185, 112185, 82973, 29295, 32149, 117295, 123253, 1811, 128001, 128000, 118091, 65299, 16144, 198, 117539, 51609, 108295, 60596, 27113, 21909, 66224, 27113, 8107, 5486, 62903, 107805, 16144, 117539, 51609, 15682, 81191, 21909, 25963, 66224, 8107, 19732, 5486, 165, 36246, 101662, 17297, 77181, 27384, 112495, 123726, 53953, 15682, 101544, 123726, 30512, 21105, 251, 30297, 26854, 112391, 29295, 78434, 29295, 5486, 123044, 107809, 72661, 33014, 29295, 119448, 16995, 113978, 52414, 66953, 109793, 65575, 108295, 15120, 33014, 67645, 33121, 120264, 16144, 82973, 30512, 5486, 103926, 123044, 103306, 126419, 20230, 103188, 48154, 122101, 105879, 109954, 32149, 9174, 567, 113978, 52414, 66953, 109793, 65575, 15682, 37689, 48915, 19732, 117539, 51609, 29295, 106649, 16995, 76947, 53283, 106358, 95532, 14711, 113978, 52414, 66953, 109793, 65575, 109853, 198, 11881, 242, 42634, 108941, 122845, 77181, 102669, 119895, 16144, 113009, 120117, 115541, 84389, 101732, 5486, 102494, 42634, 114741, 123044, 102677, 123044, 104091, 125001, 79721, 9174, 112599, 77181, 115924, 121143, 39926, 114604, 123044, 104091, 119627, 5486, 64810, 52414, 66953, 109793, 65575, 15682, 58426, 104473, 114475, 76622, 120321, 117201, 61689, 9174, 58426, 113009, 5486, 102669, 119895, 20230, 19361, 60632, 26854, 33014, 16556, 5486, 33014, 30358, 15682, 83747, 103470, 107173, 44597, 27113, 15755, 233, 15755, 229, 71689, 15682, 57903, 110745, 112495, 33014, 35083, 30512, 33563, 59739, 124122, 5486, 21105, 96, 107277, 56051, 110135, 35083, 19732, 119049, 107079, 20230, 117633, 78183, 106824, 61689, 9174, 101307, 105811, 32977, 99959, 112193, 47260, 84477, 102677, 127862, 30358, 106391, 67178, 16144, 33563, 104840, 34171, 29295, 113487, 104336, 16144, 105811, 107898, 33334, 78183, 106824, 61689, 9174, 33014, 29295, 80988, 239, 113359, 26854, 100909, 19732, 101307, 105811, 16144, 112950, 30813, 119707, 78183, 106824, 5486, 107908, 57326, 22398, 58911, 16325, 16144, 59999, 100, 94923, 16556, 108057, 103129, 123044, 103306, 76706, 109526, 235, 56051, 113009, 5486, 17792, 116499, 16556, 38144, 19361, 13372, 115717, 79721, 9174, 15120, 39177, 23538, 5486, 64810, 52414, 66953, 109793, 65575, 32977, 115924, 121143, 16144, 109688, 101513, 20230, 14309, 98, 31431, 79721, 29295, 5486, 112361, 104466, 33014, 35083, 16144, 119448, 16995, 118331, 112694, 102439, 102860, 116670, 123044, 19732, 39209, 55487, 124545, 118733, 5486, 109688, 101513, 30512, 110645, 121256, 9174, 14711, 113978, 52414, 66953, 109793, 65575, 16144, 117539, 51609, 198, 64810, 52414, 66953, 109793, 65575, 16144, 115274, 117539, 51609, 15682, 37689, 48915, 26854, 120266, 5486, 66115, 21909, 78250, 97049, 16556, 123044, 104091, 107809, 72661, 37689, 48915, 19732, 106649, 16995, 105908, 78183, 107277, 33541, 1811, 33014, 29295, 119448, 47884, 38144, 80988, 239, 113359, 102131, 109860, 5486, 117539, 51609, 29295, 101544, 118544, 102677, 19732, 102131, 95604, 117735, 72661, 100604, 117840, 9174, 103350, 104983, 110745, 25287, 123044, 16144, 117539, 51609, 30512, 104873, 115694, 64121, 104533, 5486, 103621, 64178, 68408, 16073, 44971, 122148, 110590, 16556, 115274, 117539, 51609, 29295, 78250, 21909, 20713, 20713, 97049, 5486, 41758, 44971, 84477, 70563, 44971, 78683, 106240, 16556, 78250, 21909, 20713, 25963, 97049, 5486, 103672, 33710, 118091, 25197, 16556, 66224, 21909, 78250, 97049, 19732, 117952, 106824, 61689, 9174, 80539, 31809, 25287, 123044, 77181, 5486, 78459, 102756, 102756, 16556, 20713, 46702, 21909, 20713, 44597, 97049, 5486, 20251, 25197, 57326, 65575, 33710, 16556, 20713, 34617, 21909, 20713, 46702, 97049, 5486, 101198, 78683, 123577, 39880, 99959, 107840, 72661, 20713, 46702, 21909, 20713, 44597, 97049, 19732, 120268, 25287, 123044, 120332, 29295, 117539, 51609, 29295, 101544, 16995, 105908, 103424, 47884, 78183, 107277, 33541, 9174, 26854, 112371, 27384, 25287, 123044, 120332, 29295, 117539, 51609, 29295, 106649, 16995, 104865, 102677, 104468, 5486, 120328, 108323, 57903, 33541, 29295, 5486, 103350, 104983, 78183, 32149, 107462, 104533, 107404, 77181, 5486, 13153, 101544, 113053, 16144, 95399, 30813, 29295, 33014, 20230, 109972, 106529, 30512, 58318, 58942, 100934, 102677, 108323, 29295, 19361, 48634, 38641, 9174, 31809, 25287, 123044, 105110, 81219, 5486, 9039, 8107, 32149, 107441, 9039, 101198, 37823, 110135, 29295, 13153, 101544, 54926, 110115, 110745, 25287, 123044, 127303, 104984, 9039, 8107, 16556, 99849, 64810, 109482, 32977, 110135, 29295, 110137, 102802, 38144, 23039, 50834, 33541, 109807, 17620, 5486, 33014, 37087, 33014, 111363, 109972, 106529, 32977, 119448, 115737, 31431, 5486, 33014, 29295, 110480, 106608, 54926, 123017, 105047, 117201, 23039, 126832, 16144, 38641, 9174, 120550, 104533, 92877, 33208, 32977, 105047, 95399, 120650, 126832, 105879, 5486, 59614, 61994, 112535, 117539, 51609, 29295, 106649, 115737, 76947, 103801, 61689, 1811, 31809, 25287, 123044, 20230, 57106, 103854, 104533, 5486, 112361, 20713, 116358, 13153, 101544, 72661, 33655, 30297, 76739, 124643, 104603, 115247, 33420, 106382, 33857, 29295, 35083, 38574, 20230, 119448, 117714, 38641, 9174, 64810, 52414, 66953, 109793, 65575, 15682, 123044, 104091, 107809, 72661, 5486, 72404, 27384, 25287, 123044, 20230, 17620, 104770, 107001, 113009, 5486, 80988, 239, 113359, 26854, 33014, 114792, 76947, 102532, 32977, 5486, 117539, 51609, 15682, 106649, 115737, 76947, 114732, 16144, 38641, 9174, 14711, 113978, 52414, 66953, 109793, 65575, 16144, 34171, 35083, 198, 64810, 52414, 66953, 109793, 65575, 15682, 5486, 91774, 28713, 30832, 15682, 119448, 47884, 38144, 119467, 16995, 25197, 126989, 119627, 5486, 34171, 35083, 15682, 58426, 89151, 116900, 16556, 5486, 33354, 237, 34208, 16556, 119436, 106624, 5486, 91763, 101557, 106, 102987, 16995, 123044, 16556, 19732, 111243, 104622, 102800, 34171, 35083, 30512, 127145, 9174, 99849, 30926, 105352, 115200, 108623, 104195, 47884, 5486, 105994, 16556, 122225, 39926, 58318, 58942, 109115, 107734, 111017, 30512, 28873, 28713, 102131, 19732, 78434, 127211, 112495, 33014, 119627, 5486, 121551, 34171, 29295, 103470, 114318, 111243, 126053, 16995, 105879, 5486, 45829, 67645, 32977, 19732, 126419, 116446, 102532, 32977, 51385, 64209, 108608, 123044, 104091, 38641, 9174, 80673, 33014, 29295, 119448, 47884, 5486, 107471, 105564, 16144, 104983, 20230, 73686, 42891, 105714, 109115, 31431, 56051, 121142, 5486, 45829, 67645, 32977, 71289, 111482, 15682, 113801, 101860, 124195, 102663, 102472, 30512, 67016, 101832, 107515, 9174, 31809, 65316, 119400, 55031, 5486, 37823, 65575, 30512, 43568, 22649, 71289, 31431, 73686, 42891, 105714, 30369, 23706, 244, 71289, 5486, 17792, 20230, 107850, 102802, 59739, 47884, 23706, 244, 5486, 113938, 102149, 31431, 118158, 31431, 54926, 105933, 106592, 21105, 103, 16995, 104466, 5486, 17905, 124475, 21105, 97, 105784, 105908, 19732, 111243, 107693, 38641, 9174, 14711, 113978, 52414, 66953, 109793, 65575, 29295, 125119, 15024, 126172, 16995, 103429, 95221, 198, 64810, 52414, 66953, 109793, 65575, 15682, 27384, 25287, 123044, 16144, 116547, 102052, 5486, 61826, 36827, 109904, 103429, 116499, 83747, 100604, 123044, 104091, 119627, 5486, 104473, 107654, 16144, 23706, 234, 19732, 127173, 104028, 109161, 34171, 107805, 80805, 101921, 104, 115717, 126172, 16995, 101427, 122, 70141, 20230, 57903, 33541, 9174, 108038, 26854, 103911, 103181, 41007, 15682, 124897, 29295, 5486, 9080, 48154, 85791, 55031, 5486, 110101, 26269, 57207, 94550, 71289, 40526, 16144, 102663, 39880, 30512, 21105, 103, 29295, 33503, 5486, 101921, 104, 115032, 110229, 120937, 32149, 124490, 32149, 30813, 101860, 116696, 48552, 39926, 122765, 38144, 72315, 9174, 43511, 105352, 5486, 72404, 27384, 25287, 123044, 29295, 26854, 31431, 126172, 16995, 91939, 225, 15017, 119, 108436, 19732, 127173, 104028, 5486, 32943, 26274, 241, 29295, 15017, 119, 100204, 106824, 114732, 103429, 95221, 105352, 26854, 31431, 126172, 47884, 5486, 91774, 110074, 17663, 19732, 102625, 19732, 74245, 102971, 39926, 114732, 103429, 95221, 38641, 9174, 103572, 38574, 55031, 112160, 18904, 20230, 43240, 119064, 33857, 16144, 101960, 234, 30512, 28713, 103854, 107726, 100604, 104466, 5486, 83747, 33857, 30512, 9039, 18904, 20230, 78183, 107441, 101960, 234, 30512, 122765, 5486, 102456, 30926, 16144, 104983, 15682, 61075, 29295, 103302, 29295, 110104, 104466, 122603, 30813, 16144 ]
[ 101182, 76739, 60868, 55038, 30512, 11883, 37689, 54926, 104309, 16556, 103911, 103181, 54926, 105908, 125545, 9174, 72404, 27384, 25287, 123044, 15682, 27384, 112495, 33014, 16556, 48706, 99750, 29295, 119448, 16995, 17620, 5486, 21388, 100472, 125344, 116292, 21105, 123, 32977, 119448, 16995, 102944, 38641, 1811, 113614, 112535, 101544, 123726, 108608, 104466, 5486, 165, 36246, 16995, 36668, 32977, 50834, 43514, 25827, 114267, 53283, 109375, 30512, 96356, 107294, 76622, 106956, 102944, 38641, 9174, 123011, 62004, 198, 64810, 52414, 66953, 109793, 65575, 15682, 37689, 48915, 19732, 117539, 51609, 29295, 106649, 16995, 76947, 53283, 106358, 95532, 64810, 52414, 66953, 109793, 65575, 109853, 198, 64810, 52414, 66953, 109793, 65575, 16144, 117539, 51609, 198, 64810, 52414, 66953, 109793, 65575, 16144, 34171, 35083, 128001, 128000, 5159, 7280, 16144, 103927, 103202, 42553, 120351, 99849, 100927, 39607, 9174, 2, 107301, 120351, 99849, 100927, 39607, 36761, 105864, 111, 30046, 17129, 58942, 29295, 50834, 198, 22656, 102181, 15682, 21450, 555, 11699, 11346, 16144, 102433, 102158, 117735, 103195, 59983, 102700, 30046, 112028, 17792, 3922, 115687, 16073, 118567, 105514, 15682, 9039, 112603, 50338, 98871, 16144, 114363, 103722, 46729, 109846, 3922, 44620, 120351, 99849, 9554, 9039, 112603, 108882, 17620, 36761, 102677, 102700, 102181, 32977, 57903, 3922, 53900, 22656, 102181, 16144, 116043, 116882, 29295, 91875, 101513, 104856, 76947, 32149, 3922, 85707, 50667, 120351, 99849, 16144, 23187, 22649, 16144, 85707, 50667, 9554, 110322, 31958, 16144, 105242, 17161, 32977, 102181, 119188, 59983, 198, 679, 19, 8107, 24, 9953, 20230, 3922, 25580, 102700, 44620, 50338, 98871, 100927, 39607, 36761, 7, 27671, 555, 11699, 11346, 8, 16144, 55999, 102700, 30046, 103195, 126507, 109554, 105514, 19732, 107173, 20230, 3922, 9039, 112603, 50338, 98871, 16144, 102473, 43167, 38093, 16144, 113009, 108931, 20230, 37507, 109115, 59983, 198, 117735, 30046, 32977, 58426, 43167, 38093, 117158, 32149, 107441, 33334, 38093, 16995, 15024, 3922, 58426, 108086, 20230, 115962, 102334, 30537, 17, 41401, 11883, 16144, 53229, 83932, 16144, 104774, 106696, 29295, 22656, 102181, 16144, 104792, 22656, 101983, 103836, 59983, 198, 44620, 50338, 98871, 100927, 39607, 36761, 32977, 22656, 102181, 32977, 17, 34048, 106391, 13153, 16556, 3922, 44620, 50338, 98871, 100927, 39607, 36761, 16144, 126513, 118331, 84477, 16073, 117382, 19732, 23897, 123090, 17620, 76622, 102204, 3922, 122270, 118331, 84477, 16073, 23897, 74482, 15682, 777, 126241, 74482, 103268, 16144, 50338, 98871, 48864, 10110, 118687, 120732, 75146, 17920, 236, 122382, 16144, 95543, 66870, 117382, 19732, 23897, 123090, 17620, 32149, 106824, 108086, 3922, 77693, 108422, 33121, 16144, 103496, 30832, 29295, 60358, 31640, 118687, 19732, 102321, 31640, 118687, 16144, 106633, 87447, 76622, 101983, 103836, 59983, 198, 22656, 102181, 16144, 126513, 68408, 71493, 108958, 117382, 19732, 23897, 123090, 17620, 76622, 124195, 108086, 3922, 60358, 31640, 16144, 27704, 109709, 30512, 20379, 17663, 31958, 105184, 26854, 70349, 39607, 105888, 101983, 103836, 29295, 3922, 120351, 99849, 48864, 16144, 44915, 29295, 124500, 100472, 113334, 111769, 59983, 198, 120351, 99849, 48864, 9554, 120328, 33857, 30512, 61304, 18476, 16556, 21405, 15024, 3922, 31640, 9039, 109904, 117120, 22649, 29295, 88367, 101983, 42891, 90620, 76622, 103195, 59983, 32977, 43514, 85791, 25827, 3922, 58426, 100909, 113468, 109606, 50338, 104662, 16144, 46034, 25333, 29295, 108740, 112535, 115079, 58942, 3922, 102491, 37507, 117758, 111108, 99397, 32977, 16937, 125396, 29295, 110322, 31958, 84389, 3922, 66776, 108152, 105048, 37823, 105404, 120351, 99849, 32977, 21990, 17129, 104028, 59983, 198, 77693, 72661, 85707, 50667, 120351, 99849, 102052, 17039, 102800, 23187, 22649, 29295, 122382, 21601, 116547, 3922, 119515, 32149, 105352, 102097, 28741, 105352, 102987, 47884, 32977, 26854, 107462, 47884, 59983, 83301, 25333, 19732, 106391, 67178, 16144, 102404, 77413, 19732, 50021, 17129, 76947, 42553, 50338, 98871, 120351, 99849, 48864, 29295, 21990, 123606, 3922, 105644, 58322, 120351, 99849, 48864, 29295, 21990, 123606, 3922, 50034, 108882, 17620, 16144, 102404, 77413, 19732, 107173, 20230, 50034, 17620, 120351, 99849, 48864, 29295, 21990, 123606, 3922, 31640, 9039, 120351, 99849, 48864, 29295, 21990, 123606, 3922, 25129, 50021, 120351, 99849, 48864, 29295, 21990, 17129, 106824, 105898, 59983, 198, 53900, 3922, 77693, 120577, 17039, 102800, 83301, 25333, 124905, 124059, 3922, 120351, 99849, 109904, 83301, 25333, 19732, 126067, 121142, 77413, 87447, 107001, 110022, 40862, 120351, 99849, 48864, 32977, 101182, 59983, 198, 22656, 102181, 77181, 3922, 102491, 31640, 55031, 53283, 102204, 101732, 46091, 64936, 97518, 9039, 15682, 38129, 54926, 29295, 3922, 50034, 108882, 17620, 15682, 33655, 78183, 100604, 119318, 116310, 113245, 120351, 99849, 48864, 16144, 102717, 19732, 124592, 122617, 30512, 3922, 114172, 102512, 20230, 117989, 76947, 77413, 87447, 103792, 59983, 198, 22656, 102181, 16144, 112798, 103892, 102052, 3922, 15640, 102677, 114654, 15682, 3922, 125540, 20251, 113883, 113146, 55031, 48864, 99397, 16144, 120613, 103306, 53283, 125398, 102944, 16556, 3922, 109202, 57971, 101047, 106186, 100399, 127012, 105621, 90962, 39850, 20251, 104612, 119185, 10110, 27384, 30590, 30512, 108867, 30369, 100909, 7705, 102677, 112690, 55031, 50834, 100934, 19732, 122984, 110731, 59983, 198, 127303, 104984, 3922, 15640, 30512, 117735, 17663, 19732, 126693, 3922, 108867, 30590, 48864, 19732, 17663, 125231, 104466, 32977, 91763, 126832, 59983, 198, 80673, 3922, 108867, 30590, 48864, 102677, 48864, 99397, 15682, 103283, 117083, 59983, 114654, 77181, 713, 2601, 88, 19732, 120267, 3922, 104603, 37823, 105988, 113146, 55031, 101182, 102944, 16556, 3922, 109202, 122389, 90002, 105127, 127012, 105621, 90962, 124807, 114741, 119185, 19732, 112844, 59983, 198, 112361, 104466, 27384, 30590, 30512, 108867, 30369, 102944, 109846, 3922, 117896, 15682, 103350, 104983, 20230, 82420, 108867, 54926, 112113, 71289, 77693, 55031, 30590, 111629, 126694, 30369, 123160, 103350, 102781, 109904, 102944, 103195, 59983, 127960, 16144, 83799, 103397, 30512, 23187, 109315, 123017, 51330, 48864, 99397, 103195, 59983, 198, 59795, 20230, 120351, 99849, 48864, 102677, 48864, 99397, 122291, 32149, 19732, 78244, 116285, 42553, 111629, 83799, 16144, 124175, 71289, 101544, 30813, 30512, 32018, 109315, 112113, 15682, 105184, 111201, 102491, 47884, 55031, 105693, 29295, 3922, 48864, 99397, 19732, 78244, 105262, 102944, 77181, 104435, 59983, 198, 77181, 3922, 108064, 112832, 29295, 44620, 120351, 99849, 48864, 36761, 102677, 48864, 99397, 126694, 100472, 120900, 32149, 95532, 6330, 22, 116358, 100909, 115287, 59983, 108152, 105048, 37823, 105404, 16144, 44620, 120351, 99849, 48864, 53229, 105242, 36761, 16144, 115953, 117735, 29295, 70090, 16556, 35417, 107680, 103646, 59983, 198, 58426, 102181, 13372, 29295, 44620, 120351, 99849, 127942, 36761, 115287, 59983, 108152, 105048, 37823, 105404, 16144, 22656, 16144, 47307, 78983, 33710, 15682, 100410, 113232, 115325, 127012, 71634, 25197, 102663, 25197, 39880, 119185, 116787, 3922, 117271, 54926, 114654, 15682, 12132, 127303, 76947, 3922, 120351, 99849, 102677, 112690, 15682, 116414, 105352, 103470, 3922, 112599, 77181, 110904, 20230, 44620, 53229, 105242, 36761, 110162, 44620, 127942, 36761, 19732, 127173, 104028, 105908, 127181, 59983, 198, 44620, 120351, 99849, 127942, 36761, 16144, 21405, 112810, 102052, 59795, 16144, 101268, 240, 44309, 30512, 100815, 28713, 3922, 68759, 57933, 90962, 9458, 37823, 108981, 19732, 119273, 101426, 28308, 241, 198, 100204, 103701, 108895, 76622, 117714, 121995, 29295, 110240, 32149, 115032, 59983, 37823, 108981, 15682, 31958, 314, 64121, 25827, 103293, 106968, 23538, 20230, 107322, 100927, 20230, 120824, 103468, 25197, 76739, 78525, 22398, 38093, 101559, 116787, 3922, 119273, 101426, 28308, 241, 15682, 123090, 23226, 88399, 99, 20230, 120988, 78183, 30369, 31958, 16144, 45736, 102078, 108176, 59983, 198, 110176, 24273, 16144, 106581, 20230, 102097, 33035, 56051, 103031, 33503, 29295, 19967, 100472, 16144, 103195, 59983, 80673, 3922, 15640, 16144, 117735, 102158, 30512, 26854, 112371, 120351, 99849, 114267, 120900, 32149, 59983, 198, 13177, 120351, 99849, 66383, 95604, 112690, 29295, 13177, 120351, 99849, 48864, 66383, 15682, 116690, 16144, 100604, 17161, 101171, 230, 20230, 30591, 104984, 3922, 13177, 16995, 47884, 81219, 47884, 66383, 120117, 198, 57980, 17129, 104028, 59983, 59739, 109709, 3922, 67645, 33121, 120264, 16144, 33857, 11571, 102677, 107750, 99397, 20230, 33655, 126832, 105908, 43240, 47884, 42553, 111629, 83799, 16144, 48864, 30512, 21405, 17663, 107118, 91763, 119841, 59983, 198, 117382, 15682, 13177, 120351, 99849, 10646, 15682, 79785, 117735, 103195, 102677, 112973, 23187, 108323, 103351, 29295, 3922, 60358, 8107, 15682, 125144, 50338, 111848, 102677, 108323, 29295, 104195, 16995, 59983, 777, 126241, 20230, 104817, 17129, 103468, 115953, 102158, 12, 114654, 121355, 102181, 77181, 3922, 15640, 113115, 106608, 54926, 115953, 102158, 29295, 58318, 58942, 124195, 33334, 121140, 3922, 58426, 44915, 30512, 115953, 102158, 16556, 122984, 54926, 102181, 53953, 29295, 44620, 120351, 99849, 127942, 36761, 19732, 101182, 59983, 58426, 22656, 20230, 14196, 1820, 16565, 315, 12472, 4708, 102677, 117735, 29295, 59739, 119188, 59983, 59739, 109709, 3922, 120351, 99849, 107118, 33857, 16144, 100909, 118816, 113954, 84389, 101732, 114420, 59983, 71634, 25197, 102663, 25197, 39880, 16144, 117735, 103306, 15682, 104004, 15024, 85791, 109683, 103351, 19732, 78244, 105262, 108995, 59983, 198, 27384, 30590, 30512, 108867, 104533, 15682, 112886, 30590, 120938, 117083, 99849, 123772, 120577, 103359, 47523, 53953, 71289, 106391, 67178, 30512, 108608, 103378, 112427, 103350, 20230, 88356, 102321, 54926, 113009, 3922, 9039, 112603, 30512, 117271, 124545, 102677, 100909, 103195, 59983, 198, 117039, 16144, 100604, 113146, 20230, 111629, 83799, 109020, 102944, 30512, 108044, 105262, 103846, 102052, 3922, 8239, 96, 33208, 21105, 103, 16995, 108134, 103195, 9039, 20230, 104721, 109033, 54926, 112973, 126521, 59983, 9039, 20230, 104721, 109033, 15024, 3922, 9039, 55031, 88356, 106391, 13153, 54926, 59983, 58426, 83301, 25333, 19732, 115981, 48864, 29295, 120351, 99849, 126529, 103195, 59983, 198, 27384, 30590, 107118, 102616, 116787, 3922, 111629, 83799, 15682, 58426, 102616, 16144, 102321, 47523, 118816, 126693, 3922, 120351, 99849, 15682, 102616, 30512, 113954, 15024, 3922, 41190, 54926, 124122, 112113, 116787, 3922, 115981, 48864, 103195, 59983, 112599, 3922, 72238, 120566, 45829, 105242, 72661, 110164, 121040, 105242, 72661, 120351, 99849, 9554, 20119, 254, 103214, 64121, 16556, 102158, 110071, 105908, 127181, 104468, 58426, 103846, 103195, 59983, 198, 22656, 102181, 102052, 3922, 102321, 31640, 16144, 120328, 48864, 16144, 75146, 17920, 236, 103195, 120351, 99849, 29295, 3922, 58426, 30591, 33503, 106644, 30369, 127122, 58322, 19732, 107173, 20230, 102158, 125398, 59983, 102446, 108710, 109606, 30512, 122617, 50338, 76622, 81219, 3922, 22023, 100204, 102204, 100604, 108680, 16144, 103350, 48634, 29295, 59739, 47884, 59983, 198, 119869, 15682, 126407, 104127, 98499, 64121, 103130, 104004, 105908, 103082, 103470, 107173, 57980, 16995, 59983, 107202, 15024, 25827, 72661, 98499, 64121, 103130, 104004, 106592, 33334, 53508, 100, 62004, 54926, 59983, 98499, 64121, 103130, 104004, 106592, 126407, 109315, 101200, 110276, 33503, 3922, 67645, 103171, 48864, 99397, 105352, 103130, 104004, 103378, 16144, 64209, 106391, 58942, 29295, 103082, 100934, 100909, 108995, 59983, 105298, 119895, 30512, 55228, 230, 30369, 106609, 122744, 13372, 126250, 198, 14711, 128001, 128000, 2, 34676, 110596, 113849, 104378, 119594, 11199, 106045, 44416, 119254, 84851, 103130, 38093, 104760, 16556, 122074, 103646, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 111694, 112919, 115079, 21601, 20230, 104983, 39926, 16144, 110191, 118372, 112113, 16144, 76706, 11883, 109853, 198, 32943, 34273, 96, 102697, 15682, 2366, 15, 8107, 19, 9953, 23, 9080, 36896, 198, 103507, 34208, 25963, 8107, 30537, 46702, 18904, 106613, 111587, 112686, 75513, 101790, 106, 99397, 38093, 104760, 118587, 87447, 113497, 121256, 1811, 80019, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 29295, 105047, 106266, 20230, 26955, 94, 27384, 103792, 127749, 107809, 16556, 5486, 94923, 32943, 99750, 108208, 30512, 96412, 104004, 99750, 108208, 103181, 82533, 16144, 103846, 5486, 108008, 125344, 117271, 103306, 5486, 110191, 118372, 9458, 117384, 111848, 120761, 109519, 5486, 110191, 118372, 9458, 117384, 111848, 44309, 117434, 64467, 106839, 29295, 110526, 54926, 121648, 113468, 76706, 11883, 107001, 101200, 74245, 43514, 20230, 114305, 104088, 74245, 15024, 5486, 108608, 48249, 31431, 103856, 23538, 20230, 103350, 102923, 17663, 125231, 103195, 1811, 80019, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 112212, 5486, 105677, 101275, 29295, 101544, 23538, 33208, 15024, 104378, 111681, 39607, 16144, 103350, 102923, 20230, 46456, 108502, 29295, 21990, 100204, 30369, 30926, 107328, 20230, 104874, 58942, 5486, 66378, 27452, 109904, 116876, 22324, 103306, 5486, 115289, 122279, 26854, 103768, 11883, 32977, 96412, 62004, 5486, 118006, 113245, 48864, 108710, 122521, 50667, 111848, 116581, 109421, 21990, 107263, 50667, 16144, 104378, 101513, 38093, 105184, 33563, 16144, 124122, 102923, 105226, 30512, 114341, 101860, 30369, 125231, 103195, 9174, 19732, 15024, 5486, 105212, 77181, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 111694, 112919, 115079, 21601, 20230, 104983, 39926, 16144, 110191, 118372, 112113, 16144, 76706, 11883, 109853, 5486, 120761, 109519, 9458, 44309, 117434, 64467, 106839, 19732, 5486, 110596, 113849, 104378, 109853, 5486, 103350, 102923, 17663, 125231, 30926, 105904, 30512, 122765, 127280, 9174, 37271, 18904, 15682, 111476, 110596, 113849, 104378, 109853, 114318, 31431, 122765, 33541, 9174, 102717, 109416, 117811, 29295, 104356, 121711, 33541, 9174, 25963, 59983, 110596, 113849, 104378, 109853, 34676, 102321, 103397, 19732, 111681, 104482, 112479, 106045, 44416, 119254, 103350, 102923, 82420, 55723, 10110, 103507, 34208, 24186, 8107, 60596, 9953, 220, 1691, 76502, 7705, 77181, 5486, 37087, 38144, 16144, 116581, 109421, 21990, 107263, 29295, 110770, 112113, 30512, 76706, 11883, 56051, 102616, 32335, 61826, 79982, 16144, 105284, 16144, 126574, 104378, 114475, 76622, 110071, 117501, 30512, 64531, 104874, 54926, 106592, 32018, 62004, 5486, 103507, 34208, 24186, 110895, 111983, 37656, 103911, 70203, 121960, 5486, 116581, 109421, 21990, 107263, 20713, 17792, 20230, 80805, 102741, 109713, 10110, 47307, 52884, 123167 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101182, 76739, 60868, 55038, 30512, 11883, 37689, 54926, 104309, 16556, 103911, 103181, 54926, 105908, 125545, 9174, 72404, 27384, 25287, 123044, 15682, 27384, 112495, 33014, 16556, 48706, 99750, 29295, 119448, 16995, 17620, 5486, 21388, 100472, 125344, 116292, 21105, 123, 32977, 119448, 16995, 102944, 38641, 1811, 113614, 112535, 101544, 123726, 108608, 104466, 5486, 165, 36246, 16995, 36668, 32977, 50834, 43514, 25827, 114267, 53283, 109375, 30512, 96356, 107294, 76622, 106956, 102944, 38641, 9174, 123011, 62004, 198, 64810, 52414, 66953, 109793, 65575, 15682, 37689, 48915, 19732, 117539, 51609, 29295, 106649, 16995, 76947, 53283, 106358, 95532, 64810, 52414, 66953, 109793, 65575, 109853, 198, 64810, 52414, 66953, 109793, 65575, 16144, 117539, 51609, 198, 64810, 52414, 66953, 109793, 65575, 16144, 34171, 35083, 128001, 128000, 5159, 7280, 16144, 103927, 103202, 42553, 120351, 99849, 100927, 39607, 9174, 2, 107301, 120351, 99849, 100927, 39607, 36761, 105864, 111, 30046, 17129, 58942, 29295, 50834, 198, 22656, 102181, 15682, 21450, 555, 11699, 11346, 16144, 102433, 102158, 117735, 103195, 59983, 102700, 30046, 112028, 17792, 3922, 115687, 16073, 118567, 105514, 15682, 9039, 112603, 50338, 98871, 16144, 114363, 103722, 46729, 109846, 3922, 44620, 120351, 99849, 9554, 9039, 112603, 108882, 17620, 36761, 102677, 102700, 102181, 32977, 57903, 3922, 53900, 22656, 102181, 16144, 116043, 116882, 29295, 91875, 101513, 104856, 76947, 32149, 3922, 85707, 50667, 120351, 99849, 16144, 23187, 22649, 16144, 85707, 50667, 9554, 110322, 31958, 16144, 105242, 17161, 32977, 102181, 119188, 59983, 198, 679, 19, 8107, 24, 9953, 20230, 3922, 25580, 102700, 44620, 50338, 98871, 100927, 39607, 36761, 7, 27671, 555, 11699, 11346, 8, 16144, 55999, 102700, 30046, 103195, 126507, 109554, 105514, 19732, 107173, 20230, 3922, 9039, 112603, 50338, 98871, 16144, 102473, 43167, 38093, 16144, 113009, 108931, 20230, 37507, 109115, 59983, 198, 117735, 30046, 32977, 58426, 43167, 38093, 117158, 32149, 107441, 33334, 38093, 16995, 15024, 3922, 58426, 108086, 20230, 115962, 102334, 30537, 17, 41401, 11883, 16144, 53229, 83932, 16144, 104774, 106696, 29295, 22656, 102181, 16144, 104792, 22656, 101983, 103836, 59983, 198, 44620, 50338, 98871, 100927, 39607, 36761, 32977, 22656, 102181, 32977, 17, 34048, 106391, 13153, 16556, 3922, 44620, 50338, 98871, 100927, 39607, 36761, 16144, 126513, 118331, 84477, 16073, 117382, 19732, 23897, 123090, 17620, 76622, 102204, 3922, 122270, 118331, 84477, 16073, 23897, 74482, 15682, 777, 126241, 74482, 103268, 16144, 50338, 98871, 48864, 10110, 118687, 120732, 75146, 17920, 236, 122382, 16144, 95543, 66870, 117382, 19732, 23897, 123090, 17620, 32149, 106824, 108086, 3922, 77693, 108422, 33121, 16144, 103496, 30832, 29295, 60358, 31640, 118687, 19732, 102321, 31640, 118687, 16144, 106633, 87447, 76622, 101983, 103836, 59983, 198, 22656, 102181, 16144, 126513, 68408, 71493, 108958, 117382, 19732, 23897, 123090, 17620, 76622, 124195, 108086, 3922, 60358, 31640, 16144, 27704, 109709, 30512, 20379, 17663, 31958, 105184, 26854, 70349, 39607, 105888, 101983, 103836, 29295, 3922, 120351, 99849, 48864, 16144, 44915, 29295, 124500, 100472, 113334, 111769, 59983, 198, 120351, 99849, 48864, 9554, 120328, 33857, 30512, 61304, 18476, 16556, 21405, 15024, 3922, 31640, 9039, 109904, 117120, 22649, 29295, 88367, 101983, 42891, 90620, 76622, 103195, 59983, 32977, 43514, 85791, 25827, 3922, 58426, 100909, 113468, 109606, 50338, 104662, 16144, 46034, 25333, 29295, 108740, 112535, 115079, 58942, 3922, 102491, 37507, 117758, 111108, 99397, 32977, 16937, 125396, 29295, 110322, 31958, 84389, 3922, 66776, 108152, 105048, 37823, 105404, 120351, 99849, 32977, 21990, 17129, 104028, 59983, 198, 77693, 72661, 85707, 50667, 120351, 99849, 102052, 17039, 102800, 23187, 22649, 29295, 122382, 21601, 116547, 3922, 119515, 32149, 105352, 102097, 28741, 105352, 102987, 47884, 32977, 26854, 107462, 47884, 59983, 83301, 25333, 19732, 106391, 67178, 16144, 102404, 77413, 19732, 50021, 17129, 76947, 42553, 50338, 98871, 120351, 99849, 48864, 29295, 21990, 123606, 3922, 105644, 58322, 120351, 99849, 48864, 29295, 21990, 123606, 3922, 50034, 108882, 17620, 16144, 102404, 77413, 19732, 107173, 20230, 50034, 17620, 120351, 99849, 48864, 29295, 21990, 123606, 3922, 31640, 9039, 120351, 99849, 48864, 29295, 21990, 123606, 3922, 25129, 50021, 120351, 99849, 48864, 29295, 21990, 17129, 106824, 105898, 59983, 198, 53900, 3922, 77693, 120577, 17039, 102800, 83301, 25333, 124905, 124059, 3922, 120351, 99849, 109904, 83301, 25333, 19732, 126067, 121142, 77413, 87447, 107001, 110022, 40862, 120351, 99849, 48864, 32977, 101182, 59983, 198, 22656, 102181, 77181, 3922, 102491, 31640, 55031, 53283, 102204, 101732, 46091, 64936, 97518, 9039, 15682, 38129, 54926, 29295, 3922, 50034, 108882, 17620, 15682, 33655, 78183, 100604, 119318, 116310, 113245, 120351, 99849, 48864, 16144, 102717, 19732, 124592, 122617, 30512, 3922, 114172, 102512, 20230, 117989, 76947, 77413, 87447, 103792, 59983, 198, 22656, 102181, 16144, 112798, 103892, 102052, 3922, 15640, 102677, 114654, 15682, 3922, 125540, 20251, 113883, 113146, 55031, 48864, 99397, 16144, 120613, 103306, 53283, 125398, 102944, 16556, 3922, 109202, 57971, 101047, 106186, 100399, 127012, 105621, 90962, 39850, 20251, 104612, 119185, 10110, 27384, 30590, 30512, 108867, 30369, 100909, 7705, 102677, 112690, 55031, 50834, 100934, 19732, 122984, 110731, 59983, 198, 127303, 104984, 3922, 15640, 30512, 117735, 17663, 19732, 126693, 3922, 108867, 30590, 48864, 19732, 17663, 125231, 104466, 32977, 91763, 126832, 59983, 198, 80673, 3922, 108867, 30590, 48864, 102677, 48864, 99397, 15682, 103283, 117083, 59983, 114654, 77181, 713, 2601, 88, 19732, 120267, 3922, 104603, 37823, 105988, 113146, 55031, 101182, 102944, 16556, 3922, 109202, 122389, 90002, 105127, 127012, 105621, 90962, 124807, 114741, 119185, 19732, 112844, 59983, 198, 112361, 104466, 27384, 30590, 30512, 108867, 30369, 102944, 109846, 3922, 117896, 15682, 103350, 104983, 20230, 82420, 108867, 54926, 112113, 71289, 77693, 55031, 30590, 111629, 126694, 30369, 123160, 103350, 102781, 109904, 102944, 103195, 59983, 127960, 16144, 83799, 103397, 30512, 23187, 109315, 123017, 51330, 48864, 99397, 103195, 59983, 198, 59795, 20230, 120351, 99849, 48864, 102677, 48864, 99397, 122291, 32149, 19732, 78244, 116285, 42553, 111629, 83799, 16144, 124175, 71289, 101544, 30813, 30512, 32018, 109315, 112113, 15682, 105184, 111201, 102491, 47884, 55031, 105693, 29295, 3922, 48864, 99397, 19732, 78244, 105262, 102944, 77181, 104435, 59983, 198, 77181, 3922, 108064, 112832, 29295, 44620, 120351, 99849, 48864, 36761, 102677, 48864, 99397, 126694, 100472, 120900, 32149, 95532, 6330, 22, 116358, 100909, 115287, 59983, 108152, 105048, 37823, 105404, 16144, 44620, 120351, 99849, 48864, 53229, 105242, 36761, 16144, 115953, 117735, 29295, 70090, 16556, 35417, 107680, 103646, 59983, 198, 58426, 102181, 13372, 29295, 44620, 120351, 99849, 127942, 36761, 115287, 59983, 108152, 105048, 37823, 105404, 16144, 22656, 16144, 47307, 78983, 33710, 15682, 100410, 113232, 115325, 127012, 71634, 25197, 102663, 25197, 39880, 119185, 116787, 3922, 117271, 54926, 114654, 15682, 12132, 127303, 76947, 3922, 120351, 99849, 102677, 112690, 15682, 116414, 105352, 103470, 3922, 112599, 77181, 110904, 20230, 44620, 53229, 105242, 36761, 110162, 44620, 127942, 36761, 19732, 127173, 104028, 105908, 127181, 59983, 198, 44620, 120351, 99849, 127942, 36761, 16144, 21405, 112810, 102052, 59795, 16144, 101268, 240, 44309, 30512, 100815, 28713, 3922, 68759, 57933, 90962, 9458, 37823, 108981, 19732, 119273, 101426, 28308, 241, 198, 100204, 103701, 108895, 76622, 117714, 121995, 29295, 110240, 32149, 115032, 59983, 37823, 108981, 15682, 31958, 314, 64121, 25827, 103293, 106968, 23538, 20230, 107322, 100927, 20230, 120824, 103468, 25197, 76739, 78525, 22398, 38093, 101559, 116787, 3922, 119273, 101426, 28308, 241, 15682, 123090, 23226, 88399, 99, 20230, 120988, 78183, 30369, 31958, 16144, 45736, 102078, 108176, 59983, 198, 110176, 24273, 16144, 106581, 20230, 102097, 33035, 56051, 103031, 33503, 29295, 19967, 100472, 16144, 103195, 59983, 80673, 3922, 15640, 16144, 117735, 102158, 30512, 26854, 112371, 120351, 99849, 114267, 120900, 32149, 59983, 198, 13177, 120351, 99849, 66383, 95604, 112690, 29295, 13177, 120351, 99849, 48864, 66383, 15682, 116690, 16144, 100604, 17161, 101171, 230, 20230, 30591, 104984, 3922, 13177, 16995, 47884, 81219, 47884, 66383, 120117, 198, 57980, 17129, 104028, 59983, 59739, 109709, 3922, 67645, 33121, 120264, 16144, 33857, 11571, 102677, 107750, 99397, 20230, 33655, 126832, 105908, 43240, 47884, 42553, 111629, 83799, 16144, 48864, 30512, 21405, 17663, 107118, 91763, 119841, 59983, 198, 117382, 15682, 13177, 120351, 99849, 10646, 15682, 79785, 117735, 103195, 102677, 112973, 23187, 108323, 103351, 29295, 3922, 60358, 8107, 15682, 125144, 50338, 111848, 102677, 108323, 29295, 104195, 16995, 59983, 777, 126241, 20230, 104817, 17129, 103468, 115953, 102158, 12, 114654, 121355, 102181, 77181, 3922, 15640, 113115, 106608, 54926, 115953, 102158, 29295, 58318, 58942, 124195, 33334, 121140, 3922, 58426, 44915, 30512, 115953, 102158, 16556, 122984, 54926, 102181, 53953, 29295, 44620, 120351, 99849, 127942, 36761, 19732, 101182, 59983, 58426, 22656, 20230, 14196, 1820, 16565, 315, 12472, 4708, 102677, 117735, 29295, 59739, 119188, 59983, 59739, 109709, 3922, 120351, 99849, 107118, 33857, 16144, 100909, 118816, 113954, 84389, 101732, 114420, 59983, 71634, 25197, 102663, 25197, 39880, 16144, 117735, 103306, 15682, 104004, 15024, 85791, 109683, 103351, 19732, 78244, 105262, 108995, 59983, 198, 27384, 30590, 30512, 108867, 104533, 15682, 112886, 30590, 120938, 117083, 99849, 123772, 120577, 103359, 47523, 53953, 71289, 106391, 67178, 30512, 108608, 103378, 112427, 103350, 20230, 88356, 102321, 54926, 113009, 3922, 9039, 112603, 30512, 117271, 124545, 102677, 100909, 103195, 59983, 198, 117039, 16144, 100604, 113146, 20230, 111629, 83799, 109020, 102944, 30512, 108044, 105262, 103846, 102052, 3922, 8239, 96, 33208, 21105, 103, 16995, 108134, 103195, 9039, 20230, 104721, 109033, 54926, 112973, 126521, 59983, 9039, 20230, 104721, 109033, 15024, 3922, 9039, 55031, 88356, 106391, 13153, 54926, 59983, 58426, 83301, 25333, 19732, 115981, 48864, 29295, 120351, 99849, 126529, 103195, 59983, 198, 27384, 30590, 107118, 102616, 116787, 3922, 111629, 83799, 15682, 58426, 102616, 16144, 102321, 47523, 118816, 126693, 3922, 120351, 99849, 15682, 102616, 30512, 113954, 15024, 3922, 41190, 54926, 124122, 112113, 116787, 3922, 115981, 48864, 103195, 59983, 112599, 3922, 72238, 120566, 45829, 105242, 72661, 110164, 121040, 105242, 72661, 120351, 99849, 9554, 20119, 254, 103214, 64121, 16556, 102158, 110071, 105908, 127181, 104468, 58426, 103846, 103195, 59983, 198, 22656, 102181, 102052, 3922, 102321, 31640, 16144, 120328, 48864, 16144, 75146, 17920, 236, 103195, 120351, 99849, 29295, 3922, 58426, 30591, 33503, 106644, 30369, 127122, 58322, 19732, 107173, 20230, 102158, 125398, 59983, 102446, 108710, 109606, 30512, 122617, 50338, 76622, 81219, 3922, 22023, 100204, 102204, 100604, 108680, 16144, 103350, 48634, 29295, 59739, 47884, 59983, 198, 119869, 15682, 126407, 104127, 98499, 64121, 103130, 104004, 105908, 103082, 103470, 107173, 57980, 16995, 59983, 107202, 15024, 25827, 72661, 98499, 64121, 103130, 104004, 106592, 33334, 53508, 100, 62004, 54926, 59983, 98499, 64121, 103130, 104004, 106592, 126407, 109315, 101200, 110276, 33503, 3922, 67645, 103171, 48864, 99397, 105352, 103130, 104004, 103378, 16144, 64209, 106391, 58942, 29295, 103082, 100934, 100909, 108995, 59983, 105298, 119895, 30512, 55228, 230, 30369, 106609, 122744, 13372, 126250, 198, 14711, 128001, 128000, 2, 34676, 110596, 113849, 104378, 119594, 11199, 106045, 44416, 119254, 84851, 103130, 38093, 104760, 16556, 122074, 103646, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 111694, 112919, 115079, 21601, 20230, 104983, 39926, 16144, 110191, 118372, 112113, 16144, 76706, 11883, 109853, 198, 32943, 34273, 96, 102697, 15682, 2366, 15, 8107, 19, 9953, 23, 9080, 36896, 198, 103507, 34208, 25963, 8107, 30537, 46702, 18904, 106613, 111587, 112686, 75513, 101790, 106, 99397, 38093, 104760, 118587, 87447, 113497, 121256, 1811, 80019, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 29295, 105047, 106266, 20230, 26955, 94, 27384, 103792, 127749, 107809, 16556, 5486, 94923, 32943, 99750, 108208, 30512, 96412, 104004, 99750, 108208, 103181, 82533, 16144, 103846, 5486, 108008, 125344, 117271, 103306, 5486, 110191, 118372, 9458, 117384, 111848, 120761, 109519, 5486, 110191, 118372, 9458, 117384, 111848, 44309, 117434, 64467, 106839, 29295, 110526, 54926, 121648, 113468, 76706, 11883, 107001, 101200, 74245, 43514, 20230, 114305, 104088, 74245, 15024, 5486, 108608, 48249, 31431, 103856, 23538, 20230, 103350, 102923, 17663, 125231, 103195, 1811, 80019, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 112212, 5486, 105677, 101275, 29295, 101544, 23538, 33208, 15024, 104378, 111681, 39607, 16144, 103350, 102923, 20230, 46456, 108502, 29295, 21990, 100204, 30369, 30926, 107328, 20230, 104874, 58942, 5486, 66378, 27452, 109904, 116876, 22324, 103306, 5486, 115289, 122279, 26854, 103768, 11883, 32977, 96412, 62004, 5486, 118006, 113245, 48864, 108710, 122521, 50667, 111848, 116581, 109421, 21990, 107263, 50667, 16144, 104378, 101513, 38093, 105184, 33563, 16144, 124122, 102923, 105226, 30512, 114341, 101860, 30369, 125231, 103195, 9174, 19732, 15024, 5486, 105212, 77181, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 111694, 112919, 115079, 21601, 20230, 104983, 39926, 16144, 110191, 118372, 112113, 16144, 76706, 11883, 109853, 5486, 120761, 109519, 9458, 44309, 117434, 64467, 106839, 19732, 5486, 110596, 113849, 104378, 109853, 5486, 103350, 102923, 17663, 125231, 30926, 105904, 30512, 122765, 127280, 9174, 37271, 18904, 15682, 111476, 110596, 113849, 104378, 109853, 114318, 31431, 122765, 33541, 9174, 102717, 109416, 117811, 29295, 104356, 121711, 33541, 9174, 25963, 59983, 110596, 113849, 104378, 109853, 34676, 102321, 103397, 19732, 111681, 104482, 112479, 106045, 44416, 119254, 103350, 102923, 82420, 55723, 10110, 103507, 34208, 24186, 8107, 60596, 9953, 220, 1691, 76502, 7705, 77181, 5486, 37087, 38144, 16144, 116581, 109421, 21990, 107263, 29295, 110770, 112113, 30512, 76706, 11883, 56051, 102616, 32335, 61826, 79982, 16144, 105284, 16144, 126574, 104378, 114475, 76622, 110071, 117501, 30512, 64531, 104874, 54926, 106592, 32018, 62004, 5486, 103507, 34208, 24186, 110895, 111983, 37656, 103911, 70203, 121960, 5486, 116581, 109421, 21990, 107263, 20713, 17792, 20230, 80805, 102741, 109713, 10110, 47307, 52884, 123167 ]
[ 30512, 96412, 104004, 7705, 20713, 55038, 29295, 11883, 37689, 107001, 100909, 119012, 9174, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 16144, 99750, 108208, 30046, 9039, 29295, 105047, 106266, 20230, 115079, 21601, 15024, 5486, 99750, 108208, 103181, 82533, 16144, 114181, 28542, 55031, 5486, 105677, 101275, 116876, 22324, 29295, 19732, 109115, 125939, 74482, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 16144, 34226, 109020, 26955, 94, 27384, 16144, 125396, 107407, 16325, 16556, 5486, 88356, 102802, 105677, 101275, 116876, 22324, 29295, 19732, 110071, 30926, 107328, 32977, 101067, 23187, 84389, 106116, 107803, 102052, 5486, 48864, 102802, 29295, 16325, 64889, 15024, 5486, 48864, 102802, 111363, 117375, 29295, 103435, 116, 104611, 107001, 120234, 51385, 103470, 48864, 108710, 29295, 120321, 106307, 108608, 101200, 5486, 15149, 95371, 76706, 11883, 56051, 48864, 102802, 16144, 117501, 30512, 95399, 71289, 111201, 64531, 104874, 17663, 125231, 103195, 118855, 5486, 102667, 121960, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 103359, 105226, 103306, 5486, 110596, 113849, 107141, 101275, 16144, 103350, 102923, 30512, 103911, 23187, 103792, 27452, 32977, 101182, 110229, 5486, 102700, 19967, 112607, 25333, 17905, 5486, 68408, 76428, 47307, 114615, 109544, 55487, 52927, 109853, 15682, 5486, 102700, 19967, 112607, 112919, 110008, 125310, 29295, 109215, 19732, 116216, 108086, 5486, 110008, 125310, 113473, 104856, 103836, 103359, 28190, 107141, 101275, 113245, 109544, 19732, 42016, 103826, 20230, 35757, 113764, 26854, 107740, 30512, 88367, 117408, 105908, 32018, 62004, 110071, 9174, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 112212, 5486, 105677, 101275, 29295, 101544, 23538, 33208, 15024, 104378, 111681, 39607, 16144, 103350, 102923, 20230, 46456, 108502, 29295, 21990, 100204, 30369, 30926, 107328, 20230, 104874, 58942, 5486, 66378, 27452, 109904, 116876, 22324, 103306, 5486, 88852, 120950, 115289, 122279, 26854, 103768, 11883, 32977, 96412, 62004, 5486, 118006, 113245, 48864, 108710, 122521, 50667, 111848, 116581, 109421, 21990, 107263, 50667, 16144, 104378, 101513, 38093, 105184, 33563, 16144, 124122, 102923, 105226, 30512, 114341, 101860, 30369, 125231, 103195, 9174, 11144, 103350, 102923, 17663, 125231, 30926, 105904, 11199, 43444, 20713, 7705, 15149, 10447, 240, 108, 103496, 16144, 103856, 105047, 26854, 64531, 104874, 198, 31809, 16325, 104575, 16144, 116581, 109421, 21990, 107263, 20713, 17792, 20230, 20713, 55038, 16144, 6812, 111276, 79982, 106968, 30512, 64531, 104874, 54926, 111983, 37656, 103911, 70203, 16144, 116043, 23039, 20230, 40265, 28713, 76947, 15682, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 103181, 82533, 16144, 103846, 5486, 29741, 101467, 118765, 116581, 109421, 21990, 107263, 29295, 37026, 110362, 50667, 121960, 79982, 106968, 30512, 107740, 39926, 110191, 118372, 113245, 107141, 101275, 29295, 101682, 76622, 110071, 101200, 5486, 118789, 109904, 64531, 104874, 16144, 41007, 9458, 46034, 110480, 109853, 5486, 17161, 34048, 108396, 66870, 30512, 104356, 114556, 108826, 66870, 11795, 223, 16556, 108975, 104760, 15024, 5486, 88367, 26854, 48249, 31431, 103856, 23538, 20230, 79982, 106968, 29295, 46034, 24186, 20230, 109948, 50834, 118597, 117501, 32977, 96412, 62004, 107740, 108608, 104466, 54926, 109807, 104983, 5486, 37026, 110362, 20230, 39880, 122086, 22398, 88367, 26854, 6812, 5486, 47307, 52884, 123167, 50667, 107407, 32149, 104309, 30512, 78698, 101557, 106, 39926, 5486, 109215, 26854, 30046, 113115, 39926, 104622, 61826, 112535, 23039, 50834, 110968, 30369, 101200, 55487, 101557, 106, 54926, 109215, 107407, 9174, 10110, 25963, 7705, 110596, 113849, 107141, 101275, 122692, 31634, 14558, 16144, 91774, 74245, 15024, 198, 112599, 5486, 110596, 113849, 107141, 101275, 15682, 13177, 114852, 107141, 101275, 25287, 59712, 100927, 104599, 122521, 25287, 59712, 100927, 70626, 9458, 70626, 30832, 105843, 103350, 25287, 117503, 34617, 59739, 20230, 17620, 104770, 110731, 29295, 116898, 101860, 33121, 32977, 101682, 22023, 110366, 20230, 100927, 104599, 29295, 107991, 105908, 59614, 116156, 31634, 14558, 103195, 1811, 116581, 109421, 21990, 107263, 29295, 37026, 110362, 55031, 75302, 113699, 23039, 30297, 48864, 102802, 109853, 15682, 5486, 101682, 76622, 46034, 110366, 20230, 100927, 104599, 29295, 16937, 19000, 117282, 29295, 110371, 107803, 127303, 114598, 117727, 26854, 107141, 101275, 20230, 110284, 103792, 102944, 103306, 104736, 62004, 110071, 104466, 54926, 9174, 53900, 5486, 17905, 61304, 110596, 113849, 107141, 101275, 121960, 15682, 36896, 115963, 104836, 112169, 10646, 103195, 105908, 59614, 116156, 31634, 14558, 19732, 110731, 1811, 116581, 109421, 21990, 107263, 29295, 82973, 71289, 116245, 16144, 44416, 48249, 114475, 76622, 101860, 20230, 48864, 102802, 106307, 76622, 110071, 117501, 30512, 64531, 105262, 103846, 5486, 107141, 101275, 16144, 44915, 20230, 106608, 100204, 13177, 115963, 104836, 112169, 10646, 116749, 16144, 110191, 118372, 17905, 16144, 104378, 47260, 108304, 119495, 30512, 38129, 56051, 107803, 109853, 32977, 117727, 26854, 107141, 101275, 20230, 110284, 103792, 102944, 103306, 104736, 62004, 110071, 104466, 54926, 9174, 10110, 34617, 7705, 110596, 113849, 107141, 101275, 122692, 110904, 25129, 115181, 9039, 16144, 44416, 48249, 100783, 102, 34208, 198, 117734, 16144, 126513, 36896, 117745, 104575, 29295, 5486, 103359, 28190, 112212, 23039, 30297, 107141, 101275, 19732, 42016, 50667, 16144, 104378, 8239, 114503, 30512, 19361, 112990, 104736, 62004, 104533, 50834, 10646, 20230, 110596, 113849, 107141, 101275, 29295, 88367, 19732, 110731, 29295, 106116, 110904, 25129, 9039, 102052, 17905, 48249, 10110, 1927, 67621, 246, 25129, 7705, 29295, 116700, 110731, 1811, 102667, 32977, 42016, 103826, 20230, 5486, 110904, 25129, 9039, 29295, 220, 8874, 67621, 246, 25129, 16325, 220, 1399, 67621, 246, 25129, 103296, 110792, 44416, 48249, 107407, 118844, 120577, 110596, 113849, 107141, 101275, 122692, 110904, 25129, 115181, 9039, 16144, 70203, 23187, 109853, 5486, 115289, 122279, 26854, 117271, 117824, 30297, 104466, 54926, 9174, 10110, 46702, 7705, 110191, 118372, 71493, 37823, 123283, 32131, 91062, 16144, 64531, 104874, 198, 110191, 118372, 17905, 16144, 104378, 47260, 108304, 119495, 15682, 10110, 52371, 42, 116474, 13674, 5486, 102208, 104091, 104378, 101513, 97518, 50667, 16144, 103927, 103202, 122481, 50667, 121960, 7705, 26955, 94, 105843, 21105, 97, 59739, 57903, 5486, 17161, 70626, 66870, 32977, 103927, 103202, 122481, 50667, 16556, 126362, 103792, 10110, 64780, 75376, 116581, 109421, 21990, 107263, 71289, 106718, 29295, 37026, 110362, 50667, 16556, 48864, 108710, 30512, 103130, 62004, 110071, 104466, 5486, 110191, 118372, 71493, 37823, 123283, 32131, 91062, 16144, 105843, 103350, 30512, 111629, 30369, 9174, 10110, 64780, 7705, 122678, 39177, 105677, 101275, 117232, 122692, 48864, 108710, 122521, 47260, 108304, 119495, 89154, 108337, 33710, 116229, 10110, 127032, 16144, 48864, 102802, 106608, 110238, 116229, 23954, 10110, 44597, 7705, 110191, 118372, 113245, 48864, 102802, 113115, 54926, 102700, 19967, 112607, 31634, 14558, 16144, 64531, 22649, 198, 68408, 76428, 47307, 114615, 109544, 55487, 52927, 30512, 53229, 108630, 110008, 125310, 113473, 9458, 111983, 101268, 253, 35330, 117408, 102700, 19967, 112607, 25333, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 15682, 35417, 52927, 9080, 10110, 679, 23, 101377, 44597, 9953, 220, 914, 76502, 7705, 55031, 34617, 8107, 23897, 32943, 20230, 102923, 23039, 84389, 104533, 26854, 107462, 104533, 107404, 115847, 30512, 92776, 126101, 102923, 23039, 112990, 107173, 20230, 5486, 103507, 34208, 34617, 110895, 117758, 22656, 35083, 103350, 102923, 121254, 107441, 111983, 101268, 253, 35330, 109972, 106529, 16144, 117355, 114485, 16144, 124122, 109215, 26854, 122521, 109853, 111800, 118219, 54926, 1811, 128001, 128000, 14711, 45631, 126783, 127950, 75267, 77181, 100927, 107290, 47884, 110615, 117475, 16144, 100909, 10646, 220, 102677, 22656, 30512, 107691, 76947, 98499, 104127, 64121, 28713, 9174, 51330, 17129, 58942, 22656, 102571, 98369, 16556, 52591, 32131, 52591, 32131, 107113, 33503, 5486, 114387, 22656, 117158, 38093, 16995, 79721, 9174, 13177, 126783, 127950, 75267, 77181, 100927, 107290, 47884, 110615, 117475, 16144, 100909, 10646, 220, 102677, 22656, 9174, 46729, 109669, 47884, 111331, 102040, 65299, 103223, 11972, 22656, 112987, 47884, 59739, 32977, 98499, 102189, 105908, 57903, 33541, 29295, 110371, 22656, 16144, 47307, 78983, 33710, 29295, 28190, 101828, 47884, 112391, 28713, 105879, 91763, 124059, 107691, 76947, 64121, 79721, 9174, 126783, 127950, 75267, 77181, 100927, 107290, 47884, 110615, 100909, 76947, 99849, 108995, 31195, 9174, 51330, 22656, 16144, 102700, 30046, 15682, 5486, 119506, 101129, 98369, 102677, 58699, 238, 33443, 250, 72099, 117083, 49792, 102781, 72516, 16144, 41920, 31640, 30832, 9174, 33334, 104503, 117940, 28713, 28713, 50834, 109415, 16144, 107430, 17792, 16556, 5486, 19967, 30369, 46729, 15682, 11881, 242, 106272, 16144, 78256, 228, 83601, 108, 10110, 21105, 96, 47884, 16995, 7705, 110426, 16144, 34208, 104346, 127178, 9174, 80673, 5486, 31640, 109913, 116547, 126198, 104983, 5486, 102700, 30046, 15682, 5486, 121676, 33208, 126783, 64780, 127105, 29295, 85701, 117758, 126783, 19732, 22023, 100204, 5486, 102040, 115474, 39850, 38248, 104, 11972, 29295, 114652, 33655, 30297, 17039, 26892, 103234, 30512, 43240, 11883, 56051, 37026, 110362, 30512, 26892, 38144, 79721, 9174, 110229, 29295, 106116, 37026, 110362, 15682, 105140, 19732, 111243, 88399, 239, 47884, 5486, 76739, 39880, 109713, 15682, 40053, 20230, 32335, 103167, 126287, 1811, 113786, 32977, 110993, 79982, 20230, 117759, 47884, 5486, 91739, 241, 15682, 102971, 105651, 16556, 102832, 20251, 102832, 20251, 16144, 121894, 9174, 46729, 29295, 71493, 91482, 36785, 33503, 76622, 121711, 5486, 102971, 91077, 5486, 113638, 66224, 8107, 16556, 37823, 108526, 103202, 126198, 105272, 102131, 38641, 1811, 64780, 121676, 33208, 126783, 89505, 58246, 46729, 15120, 100818, 240, 17620, 126636, 103268, 30512, 49792, 75267, 16556, 19967, 31431, 5486, 102321, 75267, 113245, 120219, 46034, 56965, 30512, 110993, 48634, 114485, 33503, 56051, 126783, 127211, 46034, 102040, 115474, 39850, 38248, 104, 11972, 29295, 118935, 11883, 54926, 126783, 21990, 106518, 16144, 83799, 107328, 116787, 5486, 118192, 102040, 52884, 126783, 107173, 95604, 9174, 38129, 56051, 26892, 103234, 15682, 122617, 5486, 10110, 104195, 27479, 116446, 32977, 5486, 96412, 19361, 54926, 116945, 53953, 105284, 116446, 32977, 23954, 13177, 29504, 29295, 104736, 109013, 10646, 121655, 16144, 124905, 103836, 110115, 124563, 112371, 85701, 108680, 103296, 20230, 106649, 51609, 26854, 104865, 1811, 102700, 30046, 15682, 102208, 108900, 55031, 104873, 103854, 28713, 113702, 55031, 5486, 108895, 64889, 100204, 33541, 9174, 13177, 2118, 29504, 29295, 104736, 109013, 863, 103087, 103234, 71289, 49792, 25333, 15682, 5486, 101987, 17129, 16995, 124475, 19732, 76947, 126920, 126521, 107118, 78244, 58942, 101860, 5486, 104004, 15024, 85791, 16937, 60632, 105576, 26854, 118881, 29295, 127181, 109900, 72661, 29504, 29295, 104736, 62004, 106307, 105784, 104468, 123085, 16144, 29504, 29295, 5486, 112607, 48634, 16144, 101182, 27384, 46034, 39850, 38248, 104, 11972, 36668, 106839, 16144, 106391, 111629, 101983, 103836, 55031, 10646, 220, 118816, 109807, 114667, 16144, 115303, 59739, 103306, 111476, 13177, 27384, 46034, 102040, 115474, 39850, 38248, 104, 38248, 226, 77693, 20230, 103087, 103234, 50667, 30512, 84844, 110698, 54926, 114435, 102052, 5486, 29504, 74090, 109060, 66870, 50667, 102078, 59999, 248, 16144, 36827, 17297, 31431, 29295, 43240, 9039, 48706, 126020, 106116, 106391, 111629, 29295, 123085, 16144, 126783, 101275, 98220, 30512, 39850, 38248, 104, 11972, 36668, 106839, 16144, 102944, 20230, 103792, 10646, 106592, 123680, 102639, 127280, 1811, 115143, 102052, 5486, 104662, 39926, 101544, 117539, 51609, 107118, 16995, 119841, 26892, 103234, 20230, 29504, 112197, 119533, 114308, 30512, 58318, 105262, 104468, 115847, 55031, 61826, 104398, 107462, 47884, 126783, 86206, 16144, 123222, 123653, 62004, 123410, 113009, 13177, 37823, 108526, 103202, 86206, 66383, 39926, 20834, 102321, 124545, 103846, 103195, 19732, 1811, 108895, 56051, 100909, 55031, 102700, 30046, 15682, 108895, 102971, 105242, 109669, 76622, 33541, 9174, 13177, 126783, 101275, 98220, 15682, 5486, 103856, 47884, 127258, 104028, 46729, 30512, 67178, 31431, 106956, 111329, 103856, 47884, 127258, 104028, 46729, 30512, 67178, 31431, 106956, 6447, 95532, 105184, 111201, 107943, 106592, 126783, 127950, 75267, 16556, 100927, 107290, 124089, 113334, 115991, 107515, 9174, 114387, 105104, 30297, 20230, 102181, 126145, 5486, 30813, 32977, 51330, 22656, 29295, 102040, 115474, 39850, 38248, 104, 11972, 105856, 106053, 103351, 31431, 5486, 125525, 126783, 113495, 105856, 106053, 29295, 36668, 6079, 101, 119775, 91763, 126832, 32149, 110241, 33121, 107515, 29295, 108048, 126036, 36896, 67645, 119775, 127564, 5486, 101544, 117539, 51609, 16556, 102395, 109431, 26854, 46729, 29295, 67178, 104028, 104865, 66383, 95604, 120266, 36668, 102701, 126130, 102532, 51330, 22656, 15682, 102181, 32149, 33121, 100481, 79721, 9174, 122582, 86127, 29295, 122502, 47884, 108695, 9458, 37823, 62903, 109496, 29295, 78698, 105262, 46729, 109669, 47884, 111842, 33035, 104792, 54926, 105494, 125001, 47884, 59739, 32977, 57903, 79721, 1811, 28713, 19732, 116285, 5486, 46729, 16144, 64889, 107969, 8239, 114503, 30512, 109415, 30369, 113009, 5486, 95221, 28741, 117120, 22649, 126198, 75146, 17920, 236, 64889, 107969, 30512, 11883, 107991, 100909, 118855, 5486, 95221, 28741, 34171, 29295, 126574, 108680, 64889, 107969, 8239, 114503, 32977, 50928, 110071, 100909, 118855, 5486, 30590, 114457, 23226, 103424, 49792, 30926, 39177, 121960, 15682, 5486, 45163, 110782, 20230, 103087, 106518, 95001, 112603, 30512, 102936, 19732, 17663, 112997, 29220, 16144, 101182, 49792, 25333, 15682, 110993, 48634, 11883, 16995, 100604, 100909, 5486, 104309, 104309, 9174, 90620, 111476, 104712, 22656, 26854, 110115, 121821, 108618, 104611, 26854, 104468, 110371, 22656, 16144, 74482, 103268, 29295, 102700, 30046, 29295, 122401, 56051, 126783, 16144, 107322, 108044, 16144, 39135, 40862, 16995, 29295, 104195, 102518, 100909, 9174, 10110, 17129, 108048, 15682, 30813, 38144, 33334, 50834, 23954, 113614, 16556, 101544, 110794, 54926, 126783, 102677, 104468, 5486, 29504, 29295, 104736, 62004, 100934, 55031, 104712, 16144, 126194, 110745, 103087, 22656, 16144, 114435, 52884, 116670, 29295, 59739, 119188, 55031, 51385, 64209, 126529, 126194, 111476, 67645, 33121, 103378, 22656, 95221, 16556, 102131, 95604, 46729, 126694, 103950, 103306, 107991, 32149, 106116, 108695, 16144, 110783 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 96412, 104004, 7705, 20713, 55038, 29295, 11883, 37689, 107001, 100909, 119012, 9174, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 16144, 99750, 108208, 30046, 9039, 29295, 105047, 106266, 20230, 115079, 21601, 15024, 5486, 99750, 108208, 103181, 82533, 16144, 114181, 28542, 55031, 5486, 105677, 101275, 116876, 22324, 29295, 19732, 109115, 125939, 74482, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 16144, 34226, 109020, 26955, 94, 27384, 16144, 125396, 107407, 16325, 16556, 5486, 88356, 102802, 105677, 101275, 116876, 22324, 29295, 19732, 110071, 30926, 107328, 32977, 101067, 23187, 84389, 106116, 107803, 102052, 5486, 48864, 102802, 29295, 16325, 64889, 15024, 5486, 48864, 102802, 111363, 117375, 29295, 103435, 116, 104611, 107001, 120234, 51385, 103470, 48864, 108710, 29295, 120321, 106307, 108608, 101200, 5486, 15149, 95371, 76706, 11883, 56051, 48864, 102802, 16144, 117501, 30512, 95399, 71289, 111201, 64531, 104874, 17663, 125231, 103195, 118855, 5486, 102667, 121960, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 103359, 105226, 103306, 5486, 110596, 113849, 107141, 101275, 16144, 103350, 102923, 30512, 103911, 23187, 103792, 27452, 32977, 101182, 110229, 5486, 102700, 19967, 112607, 25333, 17905, 5486, 68408, 76428, 47307, 114615, 109544, 55487, 52927, 109853, 15682, 5486, 102700, 19967, 112607, 112919, 110008, 125310, 29295, 109215, 19732, 116216, 108086, 5486, 110008, 125310, 113473, 104856, 103836, 103359, 28190, 107141, 101275, 113245, 109544, 19732, 42016, 103826, 20230, 35757, 113764, 26854, 107740, 30512, 88367, 117408, 105908, 32018, 62004, 110071, 9174, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 112212, 5486, 105677, 101275, 29295, 101544, 23538, 33208, 15024, 104378, 111681, 39607, 16144, 103350, 102923, 20230, 46456, 108502, 29295, 21990, 100204, 30369, 30926, 107328, 20230, 104874, 58942, 5486, 66378, 27452, 109904, 116876, 22324, 103306, 5486, 88852, 120950, 115289, 122279, 26854, 103768, 11883, 32977, 96412, 62004, 5486, 118006, 113245, 48864, 108710, 122521, 50667, 111848, 116581, 109421, 21990, 107263, 50667, 16144, 104378, 101513, 38093, 105184, 33563, 16144, 124122, 102923, 105226, 30512, 114341, 101860, 30369, 125231, 103195, 9174, 11144, 103350, 102923, 17663, 125231, 30926, 105904, 11199, 43444, 20713, 7705, 15149, 10447, 240, 108, 103496, 16144, 103856, 105047, 26854, 64531, 104874, 198, 31809, 16325, 104575, 16144, 116581, 109421, 21990, 107263, 20713, 17792, 20230, 20713, 55038, 16144, 6812, 111276, 79982, 106968, 30512, 64531, 104874, 54926, 111983, 37656, 103911, 70203, 16144, 116043, 23039, 20230, 40265, 28713, 76947, 15682, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 117718, 99750, 108208, 26955, 94, 27384, 103181, 82533, 16144, 103846, 5486, 29741, 101467, 118765, 116581, 109421, 21990, 107263, 29295, 37026, 110362, 50667, 121960, 79982, 106968, 30512, 107740, 39926, 110191, 118372, 113245, 107141, 101275, 29295, 101682, 76622, 110071, 101200, 5486, 118789, 109904, 64531, 104874, 16144, 41007, 9458, 46034, 110480, 109853, 5486, 17161, 34048, 108396, 66870, 30512, 104356, 114556, 108826, 66870, 11795, 223, 16556, 108975, 104760, 15024, 5486, 88367, 26854, 48249, 31431, 103856, 23538, 20230, 79982, 106968, 29295, 46034, 24186, 20230, 109948, 50834, 118597, 117501, 32977, 96412, 62004, 107740, 108608, 104466, 54926, 109807, 104983, 5486, 37026, 110362, 20230, 39880, 122086, 22398, 88367, 26854, 6812, 5486, 47307, 52884, 123167, 50667, 107407, 32149, 104309, 30512, 78698, 101557, 106, 39926, 5486, 109215, 26854, 30046, 113115, 39926, 104622, 61826, 112535, 23039, 50834, 110968, 30369, 101200, 55487, 101557, 106, 54926, 109215, 107407, 9174, 10110, 25963, 7705, 110596, 113849, 107141, 101275, 122692, 31634, 14558, 16144, 91774, 74245, 15024, 198, 112599, 5486, 110596, 113849, 107141, 101275, 15682, 13177, 114852, 107141, 101275, 25287, 59712, 100927, 104599, 122521, 25287, 59712, 100927, 70626, 9458, 70626, 30832, 105843, 103350, 25287, 117503, 34617, 59739, 20230, 17620, 104770, 110731, 29295, 116898, 101860, 33121, 32977, 101682, 22023, 110366, 20230, 100927, 104599, 29295, 107991, 105908, 59614, 116156, 31634, 14558, 103195, 1811, 116581, 109421, 21990, 107263, 29295, 37026, 110362, 55031, 75302, 113699, 23039, 30297, 48864, 102802, 109853, 15682, 5486, 101682, 76622, 46034, 110366, 20230, 100927, 104599, 29295, 16937, 19000, 117282, 29295, 110371, 107803, 127303, 114598, 117727, 26854, 107141, 101275, 20230, 110284, 103792, 102944, 103306, 104736, 62004, 110071, 104466, 54926, 9174, 53900, 5486, 17905, 61304, 110596, 113849, 107141, 101275, 121960, 15682, 36896, 115963, 104836, 112169, 10646, 103195, 105908, 59614, 116156, 31634, 14558, 19732, 110731, 1811, 116581, 109421, 21990, 107263, 29295, 82973, 71289, 116245, 16144, 44416, 48249, 114475, 76622, 101860, 20230, 48864, 102802, 106307, 76622, 110071, 117501, 30512, 64531, 105262, 103846, 5486, 107141, 101275, 16144, 44915, 20230, 106608, 100204, 13177, 115963, 104836, 112169, 10646, 116749, 16144, 110191, 118372, 17905, 16144, 104378, 47260, 108304, 119495, 30512, 38129, 56051, 107803, 109853, 32977, 117727, 26854, 107141, 101275, 20230, 110284, 103792, 102944, 103306, 104736, 62004, 110071, 104466, 54926, 9174, 10110, 34617, 7705, 110596, 113849, 107141, 101275, 122692, 110904, 25129, 115181, 9039, 16144, 44416, 48249, 100783, 102, 34208, 198, 117734, 16144, 126513, 36896, 117745, 104575, 29295, 5486, 103359, 28190, 112212, 23039, 30297, 107141, 101275, 19732, 42016, 50667, 16144, 104378, 8239, 114503, 30512, 19361, 112990, 104736, 62004, 104533, 50834, 10646, 20230, 110596, 113849, 107141, 101275, 29295, 88367, 19732, 110731, 29295, 106116, 110904, 25129, 9039, 102052, 17905, 48249, 10110, 1927, 67621, 246, 25129, 7705, 29295, 116700, 110731, 1811, 102667, 32977, 42016, 103826, 20230, 5486, 110904, 25129, 9039, 29295, 220, 8874, 67621, 246, 25129, 16325, 220, 1399, 67621, 246, 25129, 103296, 110792, 44416, 48249, 107407, 118844, 120577, 110596, 113849, 107141, 101275, 122692, 110904, 25129, 115181, 9039, 16144, 70203, 23187, 109853, 5486, 115289, 122279, 26854, 117271, 117824, 30297, 104466, 54926, 9174, 10110, 46702, 7705, 110191, 118372, 71493, 37823, 123283, 32131, 91062, 16144, 64531, 104874, 198, 110191, 118372, 17905, 16144, 104378, 47260, 108304, 119495, 15682, 10110, 52371, 42, 116474, 13674, 5486, 102208, 104091, 104378, 101513, 97518, 50667, 16144, 103927, 103202, 122481, 50667, 121960, 7705, 26955, 94, 105843, 21105, 97, 59739, 57903, 5486, 17161, 70626, 66870, 32977, 103927, 103202, 122481, 50667, 16556, 126362, 103792, 10110, 64780, 75376, 116581, 109421, 21990, 107263, 71289, 106718, 29295, 37026, 110362, 50667, 16556, 48864, 108710, 30512, 103130, 62004, 110071, 104466, 5486, 110191, 118372, 71493, 37823, 123283, 32131, 91062, 16144, 105843, 103350, 30512, 111629, 30369, 9174, 10110, 64780, 7705, 122678, 39177, 105677, 101275, 117232, 122692, 48864, 108710, 122521, 47260, 108304, 119495, 89154, 108337, 33710, 116229, 10110, 127032, 16144, 48864, 102802, 106608, 110238, 116229, 23954, 10110, 44597, 7705, 110191, 118372, 113245, 48864, 102802, 113115, 54926, 102700, 19967, 112607, 31634, 14558, 16144, 64531, 22649, 198, 68408, 76428, 47307, 114615, 109544, 55487, 52927, 30512, 53229, 108630, 110008, 125310, 113473, 9458, 111983, 101268, 253, 35330, 117408, 102700, 19967, 112607, 25333, 112028, 34048, 30512, 23226, 37656, 54926, 112424, 15682, 35417, 52927, 9080, 10110, 679, 23, 101377, 44597, 9953, 220, 914, 76502, 7705, 55031, 34617, 8107, 23897, 32943, 20230, 102923, 23039, 84389, 104533, 26854, 107462, 104533, 107404, 115847, 30512, 92776, 126101, 102923, 23039, 112990, 107173, 20230, 5486, 103507, 34208, 34617, 110895, 117758, 22656, 35083, 103350, 102923, 121254, 107441, 111983, 101268, 253, 35330, 109972, 106529, 16144, 117355, 114485, 16144, 124122, 109215, 26854, 122521, 109853, 111800, 118219, 54926, 1811, 128001, 128000, 14711, 45631, 126783, 127950, 75267, 77181, 100927, 107290, 47884, 110615, 117475, 16144, 100909, 10646, 220, 102677, 22656, 30512, 107691, 76947, 98499, 104127, 64121, 28713, 9174, 51330, 17129, 58942, 22656, 102571, 98369, 16556, 52591, 32131, 52591, 32131, 107113, 33503, 5486, 114387, 22656, 117158, 38093, 16995, 79721, 9174, 13177, 126783, 127950, 75267, 77181, 100927, 107290, 47884, 110615, 117475, 16144, 100909, 10646, 220, 102677, 22656, 9174, 46729, 109669, 47884, 111331, 102040, 65299, 103223, 11972, 22656, 112987, 47884, 59739, 32977, 98499, 102189, 105908, 57903, 33541, 29295, 110371, 22656, 16144, 47307, 78983, 33710, 29295, 28190, 101828, 47884, 112391, 28713, 105879, 91763, 124059, 107691, 76947, 64121, 79721, 9174, 126783, 127950, 75267, 77181, 100927, 107290, 47884, 110615, 100909, 76947, 99849, 108995, 31195, 9174, 51330, 22656, 16144, 102700, 30046, 15682, 5486, 119506, 101129, 98369, 102677, 58699, 238, 33443, 250, 72099, 117083, 49792, 102781, 72516, 16144, 41920, 31640, 30832, 9174, 33334, 104503, 117940, 28713, 28713, 50834, 109415, 16144, 107430, 17792, 16556, 5486, 19967, 30369, 46729, 15682, 11881, 242, 106272, 16144, 78256, 228, 83601, 108, 10110, 21105, 96, 47884, 16995, 7705, 110426, 16144, 34208, 104346, 127178, 9174, 80673, 5486, 31640, 109913, 116547, 126198, 104983, 5486, 102700, 30046, 15682, 5486, 121676, 33208, 126783, 64780, 127105, 29295, 85701, 117758, 126783, 19732, 22023, 100204, 5486, 102040, 115474, 39850, 38248, 104, 11972, 29295, 114652, 33655, 30297, 17039, 26892, 103234, 30512, 43240, 11883, 56051, 37026, 110362, 30512, 26892, 38144, 79721, 9174, 110229, 29295, 106116, 37026, 110362, 15682, 105140, 19732, 111243, 88399, 239, 47884, 5486, 76739, 39880, 109713, 15682, 40053, 20230, 32335, 103167, 126287, 1811, 113786, 32977, 110993, 79982, 20230, 117759, 47884, 5486, 91739, 241, 15682, 102971, 105651, 16556, 102832, 20251, 102832, 20251, 16144, 121894, 9174, 46729, 29295, 71493, 91482, 36785, 33503, 76622, 121711, 5486, 102971, 91077, 5486, 113638, 66224, 8107, 16556, 37823, 108526, 103202, 126198, 105272, 102131, 38641, 1811, 64780, 121676, 33208, 126783, 89505, 58246, 46729, 15120, 100818, 240, 17620, 126636, 103268, 30512, 49792, 75267, 16556, 19967, 31431, 5486, 102321, 75267, 113245, 120219, 46034, 56965, 30512, 110993, 48634, 114485, 33503, 56051, 126783, 127211, 46034, 102040, 115474, 39850, 38248, 104, 11972, 29295, 118935, 11883, 54926, 126783, 21990, 106518, 16144, 83799, 107328, 116787, 5486, 118192, 102040, 52884, 126783, 107173, 95604, 9174, 38129, 56051, 26892, 103234, 15682, 122617, 5486, 10110, 104195, 27479, 116446, 32977, 5486, 96412, 19361, 54926, 116945, 53953, 105284, 116446, 32977, 23954, 13177, 29504, 29295, 104736, 109013, 10646, 121655, 16144, 124905, 103836, 110115, 124563, 112371, 85701, 108680, 103296, 20230, 106649, 51609, 26854, 104865, 1811, 102700, 30046, 15682, 102208, 108900, 55031, 104873, 103854, 28713, 113702, 55031, 5486, 108895, 64889, 100204, 33541, 9174, 13177, 2118, 29504, 29295, 104736, 109013, 863, 103087, 103234, 71289, 49792, 25333, 15682, 5486, 101987, 17129, 16995, 124475, 19732, 76947, 126920, 126521, 107118, 78244, 58942, 101860, 5486, 104004, 15024, 85791, 16937, 60632, 105576, 26854, 118881, 29295, 127181, 109900, 72661, 29504, 29295, 104736, 62004, 106307, 105784, 104468, 123085, 16144, 29504, 29295, 5486, 112607, 48634, 16144, 101182, 27384, 46034, 39850, 38248, 104, 11972, 36668, 106839, 16144, 106391, 111629, 101983, 103836, 55031, 10646, 220, 118816, 109807, 114667, 16144, 115303, 59739, 103306, 111476, 13177, 27384, 46034, 102040, 115474, 39850, 38248, 104, 38248, 226, 77693, 20230, 103087, 103234, 50667, 30512, 84844, 110698, 54926, 114435, 102052, 5486, 29504, 74090, 109060, 66870, 50667, 102078, 59999, 248, 16144, 36827, 17297, 31431, 29295, 43240, 9039, 48706, 126020, 106116, 106391, 111629, 29295, 123085, 16144, 126783, 101275, 98220, 30512, 39850, 38248, 104, 11972, 36668, 106839, 16144, 102944, 20230, 103792, 10646, 106592, 123680, 102639, 127280, 1811, 115143, 102052, 5486, 104662, 39926, 101544, 117539, 51609, 107118, 16995, 119841, 26892, 103234, 20230, 29504, 112197, 119533, 114308, 30512, 58318, 105262, 104468, 115847, 55031, 61826, 104398, 107462, 47884, 126783, 86206, 16144, 123222, 123653, 62004, 123410, 113009, 13177, 37823, 108526, 103202, 86206, 66383, 39926, 20834, 102321, 124545, 103846, 103195, 19732, 1811, 108895, 56051, 100909, 55031, 102700, 30046, 15682, 108895, 102971, 105242, 109669, 76622, 33541, 9174, 13177, 126783, 101275, 98220, 15682, 5486, 103856, 47884, 127258, 104028, 46729, 30512, 67178, 31431, 106956, 111329, 103856, 47884, 127258, 104028, 46729, 30512, 67178, 31431, 106956, 6447, 95532, 105184, 111201, 107943, 106592, 126783, 127950, 75267, 16556, 100927, 107290, 124089, 113334, 115991, 107515, 9174, 114387, 105104, 30297, 20230, 102181, 126145, 5486, 30813, 32977, 51330, 22656, 29295, 102040, 115474, 39850, 38248, 104, 11972, 105856, 106053, 103351, 31431, 5486, 125525, 126783, 113495, 105856, 106053, 29295, 36668, 6079, 101, 119775, 91763, 126832, 32149, 110241, 33121, 107515, 29295, 108048, 126036, 36896, 67645, 119775, 127564, 5486, 101544, 117539, 51609, 16556, 102395, 109431, 26854, 46729, 29295, 67178, 104028, 104865, 66383, 95604, 120266, 36668, 102701, 126130, 102532, 51330, 22656, 15682, 102181, 32149, 33121, 100481, 79721, 9174, 122582, 86127, 29295, 122502, 47884, 108695, 9458, 37823, 62903, 109496, 29295, 78698, 105262, 46729, 109669, 47884, 111842, 33035, 104792, 54926, 105494, 125001, 47884, 59739, 32977, 57903, 79721, 1811, 28713, 19732, 116285, 5486, 46729, 16144, 64889, 107969, 8239, 114503, 30512, 109415, 30369, 113009, 5486, 95221, 28741, 117120, 22649, 126198, 75146, 17920, 236, 64889, 107969, 30512, 11883, 107991, 100909, 118855, 5486, 95221, 28741, 34171, 29295, 126574, 108680, 64889, 107969, 8239, 114503, 32977, 50928, 110071, 100909, 118855, 5486, 30590, 114457, 23226, 103424, 49792, 30926, 39177, 121960, 15682, 5486, 45163, 110782, 20230, 103087, 106518, 95001, 112603, 30512, 102936, 19732, 17663, 112997, 29220, 16144, 101182, 49792, 25333, 15682, 110993, 48634, 11883, 16995, 100604, 100909, 5486, 104309, 104309, 9174, 90620, 111476, 104712, 22656, 26854, 110115, 121821, 108618, 104611, 26854, 104468, 110371, 22656, 16144, 74482, 103268, 29295, 102700, 30046, 29295, 122401, 56051, 126783, 16144, 107322, 108044, 16144, 39135, 40862, 16995, 29295, 104195, 102518, 100909, 9174, 10110, 17129, 108048, 15682, 30813, 38144, 33334, 50834, 23954, 113614, 16556, 101544, 110794, 54926, 126783, 102677, 104468, 5486, 29504, 29295, 104736, 62004, 100934, 55031, 104712, 16144, 126194, 110745, 103087, 22656, 16144, 114435, 52884, 116670, 29295, 59739, 119188, 55031, 51385, 64209, 126529, 126194, 111476, 67645, 33121, 103378, 22656, 95221, 16556, 102131, 95604, 46729, 126694, 103950, 103306, 107991, 32149, 106116, 108695, 16144, 110783 ]
[ 110095, 111848, 102944, 113461, 26854, 19732, 23226, 107436, 103350, 99750, 121256, 9174, 115963, 20230, 115408, 29295, 122502, 47884, 31809, 106045, 54872, 26854, 127178, 108695, 127303, 114598, 108948, 65854, 103826, 29295, 15120, 21990, 101987, 104004, 46729, 30512, 67178, 30369, 102677, 113160, 49988, 16144, 17297, 5486, 115924, 58942, 101860, 53508, 231, 104195, 19732, 49792, 101908, 30512, 109768, 32149, 103470, 38144, 112987, 124324, 26854, 19732, 112391, 107726, 109115, 22656, 16556, 56051, 1811, 128001, 128000, 121568, 118482, 36668, 16144, 107707, 16325, 102052, 5486, 118482, 29295, 51385, 23187, 39926, 47884, 104533, 103826, 104680, 26854, 31634, 63212, 55031, 122491, 108695, 16144, 102332, 80195, 30512, 111800, 118219, 15024, 27704, 109315, 17792, 32977, 61689, 123794, 1811, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 54926, 118733, 67645, 120950, 104721, 33208, 115991, 106116, 104983, 20230, 67645, 120950, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 29295, 21990, 100204, 30369, 104865, 53283, 31431, 106956, 17792, 32977, 107991, 123253, 9174, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 39926, 124500, 30369, 100909, 103306, 5486, 28713, 19732, 116285, 13177, 106382, 11883, 28190, 66383, 13177, 106222, 9554, 117375, 28190, 10646, 29295, 123680, 102639, 102204, 33541, 1811, 107792, 85188, 71289, 106222, 9554, 122975, 123863, 39850, 37823, 67075, 29295, 50928, 110071, 15120, 24273, 115847, 103296, 20230, 102404, 21990, 21105, 103, 102518, 106382, 11883, 71289, 46034, 56965, 29295, 32149, 117295, 123160, 68408, 39850, 37823, 67075, 29295, 21990, 100204, 33541, 9174, 40265, 77219, 77181, 5486, 121568, 118482, 36668, 29295, 108695, 30512, 102332, 80195, 54926, 104983, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 30512, 50338, 108323, 78434, 1811, 122491, 108695, 30512, 102332, 80195, 54926, 118733, 124500, 30369, 100909, 71289, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 30512, 113954, 15024, 5486, 102332, 80195, 54926, 107507, 101198, 94550, 16144, 91774, 33035, 15024, 30512, 121697, 106956, 116537, 121846, 116446, 64121, 38144, 72315, 9174, 567, 107531, 17792, 108695, 30512, 102332, 80195, 112990, 106382, 11883, 28190, 19732, 106222, 9554, 117375, 28190, 20230, 104721, 33208, 125334, 30369, 198, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 112990, 13177, 106382, 11883, 28190, 66383, 13177, 106222, 9554, 117375, 28190, 10646, 20230, 104721, 33208, 125334, 33541, 1811, 26854, 112371, 105110, 5486, 121568, 118482, 36668, 19732, 122491, 77181, 118482, 83799, 107328, 29295, 108901, 109020, 55031, 38641, 9174, 28713, 19732, 116285, 5486, 115320, 102456, 72516, 30512, 106613, 112167, 15024, 118482, 117824, 30297, 109335, 121568, 118482, 36668, 72661, 122491, 72661, 125545, 29295, 5486, 25333, 109904, 20119, 254, 103214, 64121, 29295, 108901, 26854, 31431, 33541, 1811, 121606, 104309, 20230, 125151, 72342, 101860, 118326, 56051, 13177, 121568, 10646, 29295, 118482, 117824, 30297, 83799, 107328, 30512, 13177, 121568, 118482, 36668, 10646, 5486, 112424, 17905, 104736, 62004, 109115, 121606, 29295, 118482, 117824, 30297, 83799, 107328, 30512, 13177, 122491, 108695, 66383, 16995, 61689, 9174, 118482, 83799, 107328, 29295, 108901, 26854, 104533, 5486, 108446, 109315, 109215, 16144, 101182, 106382, 11883, 16144, 108010, 114774, 106222, 113115, 54926, 104371, 47523, 20230, 121953, 29295, 21990, 123606, 33541, 1811, 118482, 83799, 107328, 16144, 121953, 15682, 5486, 108695, 16144, 13153, 101544, 106045, 54872, 71289, 43511, 61337, 110792, 18655, 73686, 16144, 15024, 126172, 30813, 104309, 20230, 104364, 30512, 21990, 64121, 5486, 106613, 112167, 24273, 13393, 251, 105352, 117375, 30512, 58318, 105262, 125396, 115991, 33541, 9174, 121568, 118482, 36668, 29295, 108695, 16144, 102332, 80195, 30512, 111800, 118219, 109768, 104533, 50834, 15682, 5486, 122491, 108176, 100909, 16144, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 30512, 125261, 29295, 109215, 38641, 1811, 122491, 108695, 16144, 102332, 80195, 30512, 111800, 118219, 103792, 116537, 13177, 106382, 11883, 28190, 10646, 71289, 13177, 106222, 9554, 117375, 28190, 10646, 16556, 67645, 120950, 118789, 9554, 104721, 33208, 115991, 5486, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 29295, 21990, 100204, 30369, 104865, 30512, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 567, 121503, 17792, 118482, 36668, 55031, 122491, 102332, 80195, 113468, 104721, 33208, 54926, 106382, 11883, 28190, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 198, 121568, 118482, 36668, 55031, 122491, 30512, 102332, 80195, 54926, 118733, 13177, 106382, 11883, 28190, 10646, 20230, 16995, 47884, 59739, 116421, 104721, 33208, 115991, 33541, 1811, 118482, 16144, 127749, 113468, 15682, 5486, 104721, 33208, 54926, 105908, 39850, 37823, 67075, 119012, 31431, 68408, 39850, 37823, 67075, 119012, 31431, 78434, 9174, 11144, 106382, 11883, 28190, 16556, 104721, 33208, 54926, 44915, 16144, 125261, 101961, 27452, 112479, 121568, 118482, 36668, 198, 122491, 108695, 198, 85188, 35330, 16144, 104091, 104770, 198, 32938, 50928, 85188, 198, 122491, 85188, 198, 32938, 50928, 112649, 117295, 85188, 96455, 198, 32938, 50928, 20230, 106608, 100204, 28713, 13177, 116011, 103130, 111681, 85188, 96455, 111329, 32938, 50928, 114556, 78183, 121140, 15120, 104063, 16144, 13177, 124560, 111681, 85188, 96455, 111329, 106613, 106382, 20230, 108608, 119318, 116310, 198, 118482, 20230, 109215, 32149, 59739, 120019, 26854, 102944, 103195, 106382, 11883, 1811, 33420, 120225, 25446, 5486, 108285, 58655, 107322, 108044, 106382, 5486, 104412, 106382, 109060, 106382, 5486, 53610, 45893, 101426, 107969, 106382, 5486, 118597, 106382, 5486, 111738, 85188, 35417, 111681, 104309, 1811, 118482, 11883, 19732, 118006, 11883, 19732, 16556, 17620, 105784, 109215, 107407, 106382, 11883, 15682, 13177, 46729, 30926, 60979, 17620, 10646, 29295, 109215, 117282, 198, 118482, 20230, 109215, 32149, 59739, 120019, 26854, 102944, 103195, 106382, 11883, 1811, 121568, 118482, 36668, 16556, 104736, 62004, 110071, 106613, 106382, 20230, 21601, 58942, 5486, 126356, 112950, 21990, 106382, 5486, 118958, 33563, 117126, 42506, 5486, 106691, 112919, 107734, 102351, 78943, 100845, 105, 104309, 30512, 106613, 106382, 20230, 108608, 198, 109657, 19113, 16144, 103721, 108, 104087, 88367, 8107, 9039, 198, 18, 8107, 198, 605, 8107, 198, 106222, 33563, 117126, 118065, 16144, 19361, 43568, 198, 91, 31634, 14558, 30512, 112624, 28713, 17663, 19732, 118065, 104577, 102781, 107407, 198, 53229, 108630, 103306, 5486, 118065, 29295, 104577, 102781, 109669, 76622, 125398, 198, 28713, 19732, 116285, 5486, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 56051, 107803, 5486, 108446, 109315, 29504, 85188, 16144, 104091, 104770, 29295, 13177, 122491, 85188, 10646, 20230, 104721, 116547, 33541, 124845, 5486, 122491, 85188, 16144, 85188, 109518, 30512, 70203, 23187, 54926, 104983, 20230, 111681, 85188, 32938, 50928, 112649, 105784, 85188, 96455, 29295, 13177, 124560, 111681, 85188, 96455, 66383, 95604, 41007, 20230, 104721, 116547, 5486, 32938, 50928, 16144, 115251, 114556, 78183, 121140, 111419, 16144, 35330, 109518, 17129, 77181, 15120, 104063, 16144, 85188, 96455, 121711, 33541, 9174, 53900, 5486, 106613, 106382, 20230, 108608, 106382, 11883, 15682, 121568, 118482, 36668, 32977, 122491, 108695, 32977, 13177, 118482, 20230, 109215, 32149, 59739, 120019, 26854, 102944, 10646, 103195, 100909, 19732, 23187, 62004, 124195, 61689, 29295, 5486, 122491, 108695, 30512, 102332, 80195, 112990, 106613, 106382, 103306, 104736, 62004, 110071, 102944, 29295, 115079, 58942, 33541, 109807, 103846, 5486, 111681, 85188, 32938, 50928, 109518, 29295, 114485, 31431, 108446, 109315, 85188, 35330, 16144, 109518, 20230, 117375, 125334, 30369, 123253, 9174, 126738, 5486, 122491, 108695, 30512, 102332, 80195, 112990, 106222, 33563, 117126, 16144, 118065, 15682, 53229, 108630, 103306, 104577, 102781, 115717, 33541, 29295, 5486, 27452, 48915, 32977, 57903, 33541, 1811, 122491, 102332, 80195, 16144, 104983, 16144, 13177, 107734, 102351, 78943, 100845, 105, 10646, 29295, 27113, 35757, 16144, 107803, 5486, 78943, 100845, 105, 109518, 29295, 106222, 33563, 117126, 42506, 105755, 17297, 18904, 103836, 107803, 102052, 118065, 30512, 64889, 102204, 5486, 112599, 16144, 29504, 70821, 113614, 33563, 117126, 104309, 30512, 120321, 106307, 118065, 54926, 102677, 28542, 20230, 104650, 37689, 103801, 109954, 9174, 14711, 109517, 119, 11883, 28190, 16144, 39850, 37823, 67075, 15682, 107792, 85188, 29295, 88367, 108176, 100909, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 118733, 50928, 110071, 13177, 106382, 11883, 28190, 117503, 39850, 37823, 67075, 15682, 5486, 107792, 85188, 29295, 88367, 108176, 100909, 38641, 122262, 32977, 20230, 34617, 118821, 28542, 55031, 107792, 85188, 29295, 88367, 115717, 33541, 9174, 12, 108182, 50928, 113468, 15682, 5486, 32938, 50928, 85188, 105755, 122491, 85188, 16144, 85188, 96455, 120332, 29295, 103167, 47884, 109020, 55031, 198, 12, 107879, 234, 106382, 103306, 32938, 50928, 55031, 103851, 21418, 108608, 102944, 29295, 115079, 105262, 55031, 198, 12, 105864, 255, 80195, 125344, 103087, 22656, 35330, 109518, 30512, 16, 11, 931, 110743, 39442, 112624, 20230, 112990, 85188, 44416, 17905, 16144, 104622, 110053, 116876, 22324, 29295, 101682, 76622, 110071, 55031, 198, 32938, 50928, 109518, 113468, 15682, 13177, 32938, 50928, 112649, 117295, 85188, 96455, 10646, 29295, 122491, 85188, 120332, 29295, 103167, 47884, 109020, 103846, 5486, 108446, 85188, 109518, 30512, 126128, 58942, 110071, 107803, 115991, 33541, 1811, 111681, 85188, 32938, 50928, 109518, 29295, 4728, 110743, 30512, 72404, 107290, 47884, 104533, 5486, 32938, 50928, 85188, 30512, 108446, 109315, 105755, 122491, 85188, 16556, 108446, 85188, 56051, 24273, 29295, 19, 11, 931, 35757, 108680, 117355, 114485, 103082, 5486, 16, 11, 931, 110743, 16144, 107803, 102052, 605, 110743, 108680, 16144, 117355, 114485, 29295, 88367, 121711, 33541, 9174, 53900, 5486, 106613, 106382, 103306, 32938, 50928, 55031, 103851, 21418, 108608, 102944, 29295, 115079, 105262, 103846, 108446, 85188, 109518, 30512, 70203, 23187, 54926, 75146, 103195, 13177, 111681, 85188, 32938, 50928, 109518, 118587, 114485, 33503, 17663, 105908, 103082, 5486, 17905, 61304, 19732, 42016, 103826, 20230, 122491, 85188, 16144, 108446, 85188, 109518, 30512, 126128, 105262, 105908, 88367, 115717, 33541, 1811, 122491, 108695, 16144, 107803, 5486, 106613, 112167, 30046, 22656, 107707, 110698, 58318, 71289, 20834, 105714, 46034, 40265, 104309, 32977, 106613, 106382, 117657, 105908, 104736, 62004, 102204, 33541, 9174, 102332, 80195, 125344, 103087, 22656, 35330, 109518, 30512, 16, 11, 931, 110743, 39442, 112624, 20230, 112990, 33420, 106382, 85188, 25333, 16144, 13177, 17039, 102332, 25333, 107707, 108446, 85188, 104577, 102781, 16144, 103048, 21418, 16144, 66378, 27452, 10646, 20230, 109638, 40265, 54926, 103846, 5486, 32335, 101544, 16556, 118482, 110895, 25963, 23538, 17620, 16144, 33420, 106382, 85188, 108446, 85188, 29295, 103048, 21418, 121711, 33541, 1811, 122491, 108695, 30512, 102332, 80195, 15024, 5486, 108446, 85188, 109518, 16144, 117355, 114485, 71289, 103048, 21418, 123160, 107792, 85188, 103359, 105226, 30512, 111800, 118219, 56051, 16995, 116537, 121846, 116446, 64121, 38144, 72315, 9174, 14711, 109517, 119, 11883, 28190, 16144, 68408, 39850, 37823, 67075, 15682, 103768, 108436, 103087, 35330, 29295, 115079, 105262, 100909, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 118733, 21990, 100204, 30369, 13177, 106382, 11883, 28190, 117503, 68408, 39850, 37823, 67075, 15682, 5486, 103768, 108436, 103087, 35330, 29295, 115079, 105262, 100909, 38641, 1811, 115079, 105262, 31634, 63212, 103306, 108948, 32977, 20230, 34617, 118821, 28542, 29295, 123680, 102639, 102204, 33541, 9174, 12, 105864, 255, 80195, 103087, 35330, 29295, 109215, 108176, 198, 12, 119767, 38093, 33563, 117126, 42506, 16144, 109972, 106529, 29295, 115079, 105262, 198, 12, 107879, 234, 22649, 123357, 16144, 101851, 102, 122202, 33208, 112212, 5486, 114363, 103722, 46729, 16144, 120273, 103664, 19732, 78943, 100845, 105, 42506, 29295, 109215, 117282, 107803, 107407, 198, 122491, 108695, 30512, 102332, 80195, 54926, 102052, 13177, 122491, 29741, 61304, 10646, 117824, 30297, 105908, 108695, 25333, 71289, 33122, 101275, 29741, 61304, 25333, 16556, 104577, 102781, 122382, 124195, 108086, 5486, 29741, 61304, 102782, 109311, 46034, 106307, 50834, 102052, 106382, 11883, 29295, 112183, 61689, 1811, 121450, 16144, 126513, 103664, 25963, 60596, 110743, 5486, 114852, 108695, 16144, 126513, 103664, 20713, 25963, 110743, 32149, 107277, 5486, 21601, 107290, 103087, 22656, 35330, 16144, 11883, 37689, 32977, 109215, 38641, 9174, 53900, 5486, 27452, 48915, 30512, 21418, 50834, 106222, 33563, 117126, 111363, 118065, 29295, 104577, 102781, 117282, 103846, 5486, 106222, 33563, 117126, 42506, 16144, 46456, 124237, 16995, 19732, 109972, 106529, 29295, 115079, 58942, 33541, 1811, 118065, 31634, 14558, 30512, 112624, 28713, 56051, 123532, 101275, 102351, 30512, 25132, 229, 11883, 56051, 107803, 102052, 5486, 123532, 101275, 102351, 16144, 112950, 21990, 8107, 35330, 33563, 117126, 42506, 19732, 113614, 33563, 117126, 42506, 16144, 103268, 109518, 30512, 108695, 29295, 109972, 106529, 54926, 103846, 5486, 123532, 101275, 102351, 124911, 9039, 20230, 106608, 100204, 38144, 109972, 106529, 32977, 115079, 58942, 104533, 78244, 105262, 123253, 9174, 58426, 102717, 32149, 5486, 121568, 118482, 36668, 16144, 126101, 57106, 103854, 122491, 108695, 15682, 104662, 70203, 117120, 22649, 71289, 105184, 23187, 102782, 58655, 113245, 122491, 85188, 16144, 102782, 58655, 29295, 109242, 122202, 16556, 46034, 56965, 32977, 32149, 32149, 104533, 117952, 106824, 61689, 1811, 118482, 29295, 26955, 94, 27384, 15024, 106613, 22649, 123357, 16144, 117120, 22649, 29295, 101851, 102, 122202, 104856, 104533, 5486, 85188, 22649, 101559, 104309, 111363, 103963, 117943, 29295, 109215, 117282, 125396, 107407, 103846, 5486, 9953, 104680, 20230, 46456, 124237, 30297, 78943, 100845, 105, 42506, 29295, 32149, 117295, 28542, 20230, 104650, 37689, 103801, 109954, 9174, 567, 121503, 17792, 118482, 36668, 55031, 122491, 102332, 80195, 113468, 104721, 33208, 54926, 106222, 9554, 117375, 28190, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 198, 121568, 118482, 36668, 55031, 122491, 30512, 102332, 80195, 54926, 118733, 13177, 106222, 9554, 117375, 28190, 10646, 20230, 16995, 47884, 59739, 116421, 104721, 33208, 115991, 33541, 1811, 112424, 17905, 104736, 62004, 109115, 48706, 103195, 118482, 83799, 107328, 20230, 104721, 33208, 54926, 118733, 5486, 118969, 75694, 17129, 26854, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 29295, 21990, 100204, 33541, 1811, 34676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 110095, 111848, 102944, 113461, 26854, 19732, 23226, 107436, 103350, 99750, 121256, 9174, 115963, 20230, 115408, 29295, 122502, 47884, 31809, 106045, 54872, 26854, 127178, 108695, 127303, 114598, 108948, 65854, 103826, 29295, 15120, 21990, 101987, 104004, 46729, 30512, 67178, 30369, 102677, 113160, 49988, 16144, 17297, 5486, 115924, 58942, 101860, 53508, 231, 104195, 19732, 49792, 101908, 30512, 109768, 32149, 103470, 38144, 112987, 124324, 26854, 19732, 112391, 107726, 109115, 22656, 16556, 56051, 1811, 128001, 128000, 121568, 118482, 36668, 16144, 107707, 16325, 102052, 5486, 118482, 29295, 51385, 23187, 39926, 47884, 104533, 103826, 104680, 26854, 31634, 63212, 55031, 122491, 108695, 16144, 102332, 80195, 30512, 111800, 118219, 15024, 27704, 109315, 17792, 32977, 61689, 123794, 1811, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 54926, 118733, 67645, 120950, 104721, 33208, 115991, 106116, 104983, 20230, 67645, 120950, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 29295, 21990, 100204, 30369, 104865, 53283, 31431, 106956, 17792, 32977, 107991, 123253, 9174, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 39926, 124500, 30369, 100909, 103306, 5486, 28713, 19732, 116285, 13177, 106382, 11883, 28190, 66383, 13177, 106222, 9554, 117375, 28190, 10646, 29295, 123680, 102639, 102204, 33541, 1811, 107792, 85188, 71289, 106222, 9554, 122975, 123863, 39850, 37823, 67075, 29295, 50928, 110071, 15120, 24273, 115847, 103296, 20230, 102404, 21990, 21105, 103, 102518, 106382, 11883, 71289, 46034, 56965, 29295, 32149, 117295, 123160, 68408, 39850, 37823, 67075, 29295, 21990, 100204, 33541, 9174, 40265, 77219, 77181, 5486, 121568, 118482, 36668, 29295, 108695, 30512, 102332, 80195, 54926, 104983, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 30512, 50338, 108323, 78434, 1811, 122491, 108695, 30512, 102332, 80195, 54926, 118733, 124500, 30369, 100909, 71289, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 30512, 113954, 15024, 5486, 102332, 80195, 54926, 107507, 101198, 94550, 16144, 91774, 33035, 15024, 30512, 121697, 106956, 116537, 121846, 116446, 64121, 38144, 72315, 9174, 567, 107531, 17792, 108695, 30512, 102332, 80195, 112990, 106382, 11883, 28190, 19732, 106222, 9554, 117375, 28190, 20230, 104721, 33208, 125334, 30369, 198, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 112990, 13177, 106382, 11883, 28190, 66383, 13177, 106222, 9554, 117375, 28190, 10646, 20230, 104721, 33208, 125334, 33541, 1811, 26854, 112371, 105110, 5486, 121568, 118482, 36668, 19732, 122491, 77181, 118482, 83799, 107328, 29295, 108901, 109020, 55031, 38641, 9174, 28713, 19732, 116285, 5486, 115320, 102456, 72516, 30512, 106613, 112167, 15024, 118482, 117824, 30297, 109335, 121568, 118482, 36668, 72661, 122491, 72661, 125545, 29295, 5486, 25333, 109904, 20119, 254, 103214, 64121, 29295, 108901, 26854, 31431, 33541, 1811, 121606, 104309, 20230, 125151, 72342, 101860, 118326, 56051, 13177, 121568, 10646, 29295, 118482, 117824, 30297, 83799, 107328, 30512, 13177, 121568, 118482, 36668, 10646, 5486, 112424, 17905, 104736, 62004, 109115, 121606, 29295, 118482, 117824, 30297, 83799, 107328, 30512, 13177, 122491, 108695, 66383, 16995, 61689, 9174, 118482, 83799, 107328, 29295, 108901, 26854, 104533, 5486, 108446, 109315, 109215, 16144, 101182, 106382, 11883, 16144, 108010, 114774, 106222, 113115, 54926, 104371, 47523, 20230, 121953, 29295, 21990, 123606, 33541, 1811, 118482, 83799, 107328, 16144, 121953, 15682, 5486, 108695, 16144, 13153, 101544, 106045, 54872, 71289, 43511, 61337, 110792, 18655, 73686, 16144, 15024, 126172, 30813, 104309, 20230, 104364, 30512, 21990, 64121, 5486, 106613, 112167, 24273, 13393, 251, 105352, 117375, 30512, 58318, 105262, 125396, 115991, 33541, 9174, 121568, 118482, 36668, 29295, 108695, 16144, 102332, 80195, 30512, 111800, 118219, 109768, 104533, 50834, 15682, 5486, 122491, 108176, 100909, 16144, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 30512, 125261, 29295, 109215, 38641, 1811, 122491, 108695, 16144, 102332, 80195, 30512, 111800, 118219, 103792, 116537, 13177, 106382, 11883, 28190, 10646, 71289, 13177, 106222, 9554, 117375, 28190, 10646, 16556, 67645, 120950, 118789, 9554, 104721, 33208, 115991, 5486, 39850, 37823, 67075, 19732, 68408, 39850, 37823, 67075, 29295, 21990, 100204, 30369, 104865, 30512, 110408, 30813, 107290, 33334, 50834, 17129, 109954, 9174, 567, 121503, 17792, 118482, 36668, 55031, 122491, 102332, 80195, 113468, 104721, 33208, 54926, 106382, 11883, 28190, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 198, 121568, 118482, 36668, 55031, 122491, 30512, 102332, 80195, 54926, 118733, 13177, 106382, 11883, 28190, 10646, 20230, 16995, 47884, 59739, 116421, 104721, 33208, 115991, 33541, 1811, 118482, 16144, 127749, 113468, 15682, 5486, 104721, 33208, 54926, 105908, 39850, 37823, 67075, 119012, 31431, 68408, 39850, 37823, 67075, 119012, 31431, 78434, 9174, 11144, 106382, 11883, 28190, 16556, 104721, 33208, 54926, 44915, 16144, 125261, 101961, 27452, 112479, 121568, 118482, 36668, 198, 122491, 108695, 198, 85188, 35330, 16144, 104091, 104770, 198, 32938, 50928, 85188, 198, 122491, 85188, 198, 32938, 50928, 112649, 117295, 85188, 96455, 198, 32938, 50928, 20230, 106608, 100204, 28713, 13177, 116011, 103130, 111681, 85188, 96455, 111329, 32938, 50928, 114556, 78183, 121140, 15120, 104063, 16144, 13177, 124560, 111681, 85188, 96455, 111329, 106613, 106382, 20230, 108608, 119318, 116310, 198, 118482, 20230, 109215, 32149, 59739, 120019, 26854, 102944, 103195, 106382, 11883, 1811, 33420, 120225, 25446, 5486, 108285, 58655, 107322, 108044, 106382, 5486, 104412, 106382, 109060, 106382, 5486, 53610, 45893, 101426, 107969, 106382, 5486, 118597, 106382, 5486, 111738, 85188, 35417, 111681, 104309, 1811, 118482, 11883, 19732, 118006, 11883, 19732, 16556, 17620, 105784, 109215, 107407, 106382, 11883, 15682, 13177, 46729, 30926, 60979, 17620, 10646, 29295, 109215, 117282, 198, 118482, 20230, 109215, 32149, 59739, 120019, 26854, 102944, 103195, 106382, 11883, 1811, 121568, 118482, 36668, 16556, 104736, 62004, 110071, 106613, 106382, 20230, 21601, 58942, 5486, 126356, 112950, 21990, 106382, 5486, 118958, 33563, 117126, 42506, 5486, 106691, 112919, 107734, 102351, 78943, 100845, 105, 104309, 30512, 106613, 106382, 20230, 108608, 198, 109657, 19113, 16144, 103721, 108, 104087, 88367, 8107, 9039, 198, 18, 8107, 198, 605, 8107, 198, 106222, 33563, 117126, 118065, 16144, 19361, 43568, 198, 91, 31634, 14558, 30512, 112624, 28713, 17663, 19732, 118065, 104577, 102781, 107407, 198, 53229, 108630, 103306, 5486, 118065, 29295, 104577, 102781, 109669, 76622, 125398, 198, 28713, 19732, 116285, 5486, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 56051, 107803, 5486, 108446, 109315, 29504, 85188, 16144, 104091, 104770, 29295, 13177, 122491, 85188, 10646, 20230, 104721, 116547, 33541, 124845, 5486, 122491, 85188, 16144, 85188, 109518, 30512, 70203, 23187, 54926, 104983, 20230, 111681, 85188, 32938, 50928, 112649, 105784, 85188, 96455, 29295, 13177, 124560, 111681, 85188, 96455, 66383, 95604, 41007, 20230, 104721, 116547, 5486, 32938, 50928, 16144, 115251, 114556, 78183, 121140, 111419, 16144, 35330, 109518, 17129, 77181, 15120, 104063, 16144, 85188, 96455, 121711, 33541, 9174, 53900, 5486, 106613, 106382, 20230, 108608, 106382, 11883, 15682, 121568, 118482, 36668, 32977, 122491, 108695, 32977, 13177, 118482, 20230, 109215, 32149, 59739, 120019, 26854, 102944, 10646, 103195, 100909, 19732, 23187, 62004, 124195, 61689, 29295, 5486, 122491, 108695, 30512, 102332, 80195, 112990, 106613, 106382, 103306, 104736, 62004, 110071, 102944, 29295, 115079, 58942, 33541, 109807, 103846, 5486, 111681, 85188, 32938, 50928, 109518, 29295, 114485, 31431, 108446, 109315, 85188, 35330, 16144, 109518, 20230, 117375, 125334, 30369, 123253, 9174, 126738, 5486, 122491, 108695, 30512, 102332, 80195, 112990, 106222, 33563, 117126, 16144, 118065, 15682, 53229, 108630, 103306, 104577, 102781, 115717, 33541, 29295, 5486, 27452, 48915, 32977, 57903, 33541, 1811, 122491, 102332, 80195, 16144, 104983, 16144, 13177, 107734, 102351, 78943, 100845, 105, 10646, 29295, 27113, 35757, 16144, 107803, 5486, 78943, 100845, 105, 109518, 29295, 106222, 33563, 117126, 42506, 105755, 17297, 18904, 103836, 107803, 102052, 118065, 30512, 64889, 102204, 5486, 112599, 16144, 29504, 70821, 113614, 33563, 117126, 104309, 30512, 120321, 106307, 118065, 54926, 102677, 28542, 20230, 104650, 37689, 103801, 109954, 9174, 14711, 109517, 119, 11883, 28190, 16144, 39850, 37823, 67075, 15682, 107792, 85188, 29295, 88367, 108176, 100909, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 118733, 50928, 110071, 13177, 106382, 11883, 28190, 117503, 39850, 37823, 67075, 15682, 5486, 107792, 85188, 29295, 88367, 108176, 100909, 38641, 122262, 32977, 20230, 34617, 118821, 28542, 55031, 107792, 85188, 29295, 88367, 115717, 33541, 9174, 12, 108182, 50928, 113468, 15682, 5486, 32938, 50928, 85188, 105755, 122491, 85188, 16144, 85188, 96455, 120332, 29295, 103167, 47884, 109020, 55031, 198, 12, 107879, 234, 106382, 103306, 32938, 50928, 55031, 103851, 21418, 108608, 102944, 29295, 115079, 105262, 55031, 198, 12, 105864, 255, 80195, 125344, 103087, 22656, 35330, 109518, 30512, 16, 11, 931, 110743, 39442, 112624, 20230, 112990, 85188, 44416, 17905, 16144, 104622, 110053, 116876, 22324, 29295, 101682, 76622, 110071, 55031, 198, 32938, 50928, 109518, 113468, 15682, 13177, 32938, 50928, 112649, 117295, 85188, 96455, 10646, 29295, 122491, 85188, 120332, 29295, 103167, 47884, 109020, 103846, 5486, 108446, 85188, 109518, 30512, 126128, 58942, 110071, 107803, 115991, 33541, 1811, 111681, 85188, 32938, 50928, 109518, 29295, 4728, 110743, 30512, 72404, 107290, 47884, 104533, 5486, 32938, 50928, 85188, 30512, 108446, 109315, 105755, 122491, 85188, 16556, 108446, 85188, 56051, 24273, 29295, 19, 11, 931, 35757, 108680, 117355, 114485, 103082, 5486, 16, 11, 931, 110743, 16144, 107803, 102052, 605, 110743, 108680, 16144, 117355, 114485, 29295, 88367, 121711, 33541, 9174, 53900, 5486, 106613, 106382, 103306, 32938, 50928, 55031, 103851, 21418, 108608, 102944, 29295, 115079, 105262, 103846, 108446, 85188, 109518, 30512, 70203, 23187, 54926, 75146, 103195, 13177, 111681, 85188, 32938, 50928, 109518, 118587, 114485, 33503, 17663, 105908, 103082, 5486, 17905, 61304, 19732, 42016, 103826, 20230, 122491, 85188, 16144, 108446, 85188, 109518, 30512, 126128, 105262, 105908, 88367, 115717, 33541, 1811, 122491, 108695, 16144, 107803, 5486, 106613, 112167, 30046, 22656, 107707, 110698, 58318, 71289, 20834, 105714, 46034, 40265, 104309, 32977, 106613, 106382, 117657, 105908, 104736, 62004, 102204, 33541, 9174, 102332, 80195, 125344, 103087, 22656, 35330, 109518, 30512, 16, 11, 931, 110743, 39442, 112624, 20230, 112990, 33420, 106382, 85188, 25333, 16144, 13177, 17039, 102332, 25333, 107707, 108446, 85188, 104577, 102781, 16144, 103048, 21418, 16144, 66378, 27452, 10646, 20230, 109638, 40265, 54926, 103846, 5486, 32335, 101544, 16556, 118482, 110895, 25963, 23538, 17620, 16144, 33420, 106382, 85188, 108446, 85188, 29295, 103048, 21418, 121711, 33541, 1811, 122491, 108695, 30512, 102332, 80195, 15024, 5486, 108446, 85188, 109518, 16144, 117355, 114485, 71289, 103048, 21418, 123160, 107792, 85188, 103359, 105226, 30512, 111800, 118219, 56051, 16995, 116537, 121846, 116446, 64121, 38144, 72315, 9174, 14711, 109517, 119, 11883, 28190, 16144, 68408, 39850, 37823, 67075, 15682, 103768, 108436, 103087, 35330, 29295, 115079, 105262, 100909, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 118733, 21990, 100204, 30369, 13177, 106382, 11883, 28190, 117503, 68408, 39850, 37823, 67075, 15682, 5486, 103768, 108436, 103087, 35330, 29295, 115079, 105262, 100909, 38641, 1811, 115079, 105262, 31634, 63212, 103306, 108948, 32977, 20230, 34617, 118821, 28542, 29295, 123680, 102639, 102204, 33541, 9174, 12, 105864, 255, 80195, 103087, 35330, 29295, 109215, 108176, 198, 12, 119767, 38093, 33563, 117126, 42506, 16144, 109972, 106529, 29295, 115079, 105262, 198, 12, 107879, 234, 22649, 123357, 16144, 101851, 102, 122202, 33208, 112212, 5486, 114363, 103722, 46729, 16144, 120273, 103664, 19732, 78943, 100845, 105, 42506, 29295, 109215, 117282, 107803, 107407, 198, 122491, 108695, 30512, 102332, 80195, 54926, 102052, 13177, 122491, 29741, 61304, 10646, 117824, 30297, 105908, 108695, 25333, 71289, 33122, 101275, 29741, 61304, 25333, 16556, 104577, 102781, 122382, 124195, 108086, 5486, 29741, 61304, 102782, 109311, 46034, 106307, 50834, 102052, 106382, 11883, 29295, 112183, 61689, 1811, 121450, 16144, 126513, 103664, 25963, 60596, 110743, 5486, 114852, 108695, 16144, 126513, 103664, 20713, 25963, 110743, 32149, 107277, 5486, 21601, 107290, 103087, 22656, 35330, 16144, 11883, 37689, 32977, 109215, 38641, 9174, 53900, 5486, 27452, 48915, 30512, 21418, 50834, 106222, 33563, 117126, 111363, 118065, 29295, 104577, 102781, 117282, 103846, 5486, 106222, 33563, 117126, 42506, 16144, 46456, 124237, 16995, 19732, 109972, 106529, 29295, 115079, 58942, 33541, 1811, 118065, 31634, 14558, 30512, 112624, 28713, 56051, 123532, 101275, 102351, 30512, 25132, 229, 11883, 56051, 107803, 102052, 5486, 123532, 101275, 102351, 16144, 112950, 21990, 8107, 35330, 33563, 117126, 42506, 19732, 113614, 33563, 117126, 42506, 16144, 103268, 109518, 30512, 108695, 29295, 109972, 106529, 54926, 103846, 5486, 123532, 101275, 102351, 124911, 9039, 20230, 106608, 100204, 38144, 109972, 106529, 32977, 115079, 58942, 104533, 78244, 105262, 123253, 9174, 58426, 102717, 32149, 5486, 121568, 118482, 36668, 16144, 126101, 57106, 103854, 122491, 108695, 15682, 104662, 70203, 117120, 22649, 71289, 105184, 23187, 102782, 58655, 113245, 122491, 85188, 16144, 102782, 58655, 29295, 109242, 122202, 16556, 46034, 56965, 32977, 32149, 32149, 104533, 117952, 106824, 61689, 1811, 118482, 29295, 26955, 94, 27384, 15024, 106613, 22649, 123357, 16144, 117120, 22649, 29295, 101851, 102, 122202, 104856, 104533, 5486, 85188, 22649, 101559, 104309, 111363, 103963, 117943, 29295, 109215, 117282, 125396, 107407, 103846, 5486, 9953, 104680, 20230, 46456, 124237, 30297, 78943, 100845, 105, 42506, 29295, 32149, 117295, 28542, 20230, 104650, 37689, 103801, 109954, 9174, 567, 121503, 17792, 118482, 36668, 55031, 122491, 102332, 80195, 113468, 104721, 33208, 54926, 106222, 9554, 117375, 28190, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 198, 121568, 118482, 36668, 55031, 122491, 30512, 102332, 80195, 54926, 118733, 13177, 106222, 9554, 117375, 28190, 10646, 20230, 16995, 47884, 59739, 116421, 104721, 33208, 115991, 33541, 1811, 112424, 17905, 104736, 62004, 109115, 48706, 103195, 118482, 83799, 107328, 20230, 104721, 33208, 54926, 118733, 5486, 118969, 75694, 17129, 26854, 39850, 37823, 67075, 71289, 68408, 39850, 37823, 67075, 29295, 21990, 100204, 33541, 1811, 34676 ]
[ 106222, 9554, 117375, 28190, 16556, 104721, 33208, 54926, 44915, 16144, 125261, 101961, 27452, 112479, 106222, 9554, 22023, 117943, 27479, 198, 118482, 16144, 107963, 31634, 104309, 15682, 102099, 102782, 58655, 125030, 67645, 109709, 5486, 112415, 16144, 103350, 107328, 29295, 102178, 111665, 21105, 98, 33503, 102334, 62004, 103167, 16995, 102083, 105262, 198, 122491, 29741, 61304, 113468, 108695, 16144, 107963, 31634, 29295, 106222, 20230, 35417, 20379, 107001, 103846, 122603, 16995, 102083, 105262, 198, 113160, 49988, 16144, 119318, 116310, 198, 121019, 16144, 113160, 49988, 15682, 121568, 1811, 113160, 49988, 16144, 119318, 116310, 15682, 108285, 16995, 198, 102422, 113160, 49988, 61337, 102351, 16556, 106391, 13153, 54926, 25333, 107707, 126513, 20834, 103087, 109518, 30512, 48249, 27479, 117408, 103846, 5486, 113160, 49988, 16144, 119318, 116310, 15682, 101462, 255, 16995, 198, 28713, 19732, 116285, 5486, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 56051, 107803, 102052, 106222, 9554, 22023, 117943, 27479, 29295, 104721, 116547, 33541, 1811, 122491, 30512, 102332, 80195, 54926, 104983, 20230, 59614, 101860, 23039, 30297, 13177, 122491, 29741, 61304, 10646, 121960, 5486, 108695, 16144, 113173, 71289, 118482, 44915, 104309, 29295, 25333, 102781, 91077, 16556, 117859, 112984, 30512, 106613, 38144, 106222, 20230, 35417, 20379, 110731, 105879, 5486, 108950, 31958, 34171, 29295, 106529, 33563, 107001, 100909, 115717, 22023, 117943, 27479, 29295, 45736, 115737, 104533, 78244, 105262, 123253, 9174, 53900, 5486, 108695, 29295, 105987, 106518, 56051, 39177, 123160, 104983, 20230, 13870, 223, 111587, 54926, 101427, 113, 102781, 16144, 46456, 124237, 16995, 113160, 49988, 109853, 32977, 104721, 33208, 115991, 33541, 1811, 102159, 107707, 112686, 106518, 30512, 32977, 76947, 72661, 13870, 223, 111587, 113160, 49988, 29295, 21990, 100204, 30369, 121568, 118482, 36668, 113115, 39926, 5486, 102422, 113160, 49988, 61337, 102351, 16556, 106391, 13153, 54926, 122491, 108695, 104309, 15682, 20834, 103087, 109518, 30512, 48249, 27479, 103306, 107991, 103846, 108048, 71689, 16144, 113160, 49988, 30512, 109972, 30297, 105908, 123733, 31431, 33541, 9174, 126738, 5486, 121568, 118482, 36668, 32977, 13177, 33122, 18476, 29741, 61304, 66383, 95604, 46034, 106307, 50834, 117824, 30297, 19732, 108695, 16144, 107963, 31634, 104309, 30512, 106222, 20230, 35417, 20379, 54926, 109335, 108608, 101200, 115717, 33541, 115397, 24273, 16556, 5486, 25333, 114754, 23039, 30297, 13177, 122491, 29741, 61304, 66383, 57106, 103854, 104533, 50928, 110071, 39850, 37823, 67075, 71289, 22023, 117943, 27479, 29295, 108901, 109020, 103846, 36896, 122491, 29741, 61304, 118587, 39926, 50928, 110071, 13177, 106222, 9554, 117375, 28190, 10646, 113245, 39850, 37823, 67075, 107118, 26854, 112649, 30512, 114140, 39926, 33334, 50834, 17129, 109954, 9174, 14711, 119767, 38093, 9554, 117375, 28190, 16144, 39850, 37823, 67075, 15682, 106222, 117758, 122975, 29295, 45736, 115464, 100909, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 118733, 50928, 110071, 13177, 106222, 9554, 117375, 28190, 117503, 39850, 37823, 67075, 15682, 5486, 106222, 117758, 122975, 29295, 45736, 115464, 100909, 38641, 1811, 122975, 29295, 45736, 115464, 118733, 108948, 32977, 20230, 25963, 118821, 105908, 118482, 103768, 112167, 17905, 23039, 114774, 17663, 47884, 109020, 125396, 115991, 33541, 9174, 12, 121619, 73686, 61826, 30512, 115079, 126172, 100909, 71289, 5486, 114734, 101513, 97518, 117758, 122975, 30512, 50928, 126172, 47884, 109020, 198, 12, 103067, 229, 11883, 29295, 15024, 126172, 47884, 109020, 198, 122491, 102332, 80195, 16144, 104983, 20230, 13177, 121450, 118587, 102332, 80195, 56051, 107803, 102052, 5486, 18655, 73686, 61826, 30512, 115079, 126172, 100909, 71289, 106075, 103087, 114475, 76622, 126172, 47884, 109020, 125396, 115991, 33541, 1811, 121450, 15682, 5486, 121410, 110895, 16144, 104662, 70203, 44915, 30512, 125525, 101513, 97518, 112810, 103195, 102078, 78943, 20230, 19012, 110, 107121, 54926, 103846, 5486, 18655, 73686, 61826, 71289, 114734, 101513, 97518, 29295, 108695, 16144, 106613, 112167, 127749, 30512, 30926, 112772, 102178, 111665, 108608, 101200, 115717, 5486, 108695, 16144, 108950, 31958, 34171, 71289, 105298, 37087, 34171, 29295, 70141, 17905, 107001, 55031, 38641, 9174, 53900, 5486, 122491, 108695, 29295, 123532, 101275, 102351, 30512, 25132, 229, 11883, 54926, 104983, 102052, 5486, 8239, 112, 122502, 75146, 107253, 25333, 20230, 123532, 16995, 25132, 229, 11883, 33563, 117126, 16144, 64531, 104874, 104309, 75146, 107253, 25333, 20230, 75146, 109669, 47884, 25333, 103507, 30512, 30250, 113, 106154, 54926, 104577, 102781, 115991, 33541, 109807, 103846, 5486, 122491, 35083, 107407, 118733, 8239, 112, 122502, 117501, 71289, 75293, 110053, 28190, 29295, 64531, 103836, 102677, 25197, 126989, 20230, 103721, 233, 29295, 31431, 5486, 25132, 229, 11883, 29295, 15024, 126172, 115737, 104533, 78244, 105262, 123253, 9174, 126738, 5486, 122491, 30512, 102332, 80195, 15024, 122975, 30512, 50928, 126172, 115737, 100472, 55031, 102083, 76947, 5486, 59614, 101860, 15024, 32977, 106075, 103087, 29295, 101682, 76622, 102204, 104533, 15682, 48249, 31431, 107515, 1811, 106075, 103087, 114475, 105784, 102052, 5486, 112686, 102781, 127749, 20230, 21601, 107290, 118482, 16144, 82420, 55723, 34171, 104309, 114734, 101513, 97518, 113468, 108901, 109020, 117859, 112984, 75146, 107253, 30512, 112624, 110467, 110022, 40862, 112535, 122225, 107001, 102677, 106592, 112854, 107290, 33334, 50834, 17129, 109954, 9174, 14711, 119767, 38093, 9554, 117375, 28190, 16144, 68408, 39850, 37823, 67075, 15682, 46034, 56965, 71289, 40452, 17663, 125231, 105908, 115079, 105262, 100909, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 118733, 21990, 100204, 30369, 13177, 106222, 9554, 117375, 28190, 117503, 68408, 39850, 37823, 67075, 15682, 5486, 46034, 56965, 71289, 40452, 17663, 125231, 105908, 115079, 105262, 100909, 38641, 1811, 115079, 105262, 31634, 63212, 103306, 108948, 32977, 20230, 25963, 118821, 105908, 123680, 102639, 102204, 33541, 9174, 12, 105864, 255, 80195, 71289, 103768, 112167, 46034, 106307, 50834, 29295, 102404, 21990, 54926, 198, 12, 85241, 241, 101275, 102351, 30512, 25132, 229, 11883, 56051, 107803, 102052, 40452, 17663, 125231, 105908, 115079, 105262, 198, 28713, 19732, 116285, 5486, 122491, 30512, 102332, 80195, 54926, 124122, 13177, 122491, 29741, 61304, 10646, 121960, 5486, 106382, 11883, 28190, 113245, 102332, 80195, 103087, 35330, 29295, 109215, 108176, 68408, 39850, 37823, 67075, 20230, 21601, 107290, 102332, 80195, 46034, 106307, 50834, 29295, 102404, 21990, 78434, 124845, 5486, 102332, 80195, 74482, 102052, 107734, 102351, 16144, 49988, 23538, 104309, 20230, 106608, 100204, 28713, 110895, 16144, 28713, 102802, 20230, 122489, 29741, 61304, 16144, 102782, 109311, 123160, 123357, 46034, 106307, 50834, 117824, 78183, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 53900, 5486, 122491, 30512, 102332, 80195, 15024, 118482, 30512, 26955, 94, 27384, 109768, 47884, 20230, 30591, 115926, 123532, 101275, 102351, 30512, 43240, 47884, 25132, 229, 11883, 56051, 107803, 102052, 5486, 106222, 33563, 117126, 114556, 78183, 30369, 100909, 71289, 110698, 58318, 16144, 46456, 124237, 16995, 104309, 40452, 17663, 125231, 105908, 115079, 58942, 33541, 109807, 103846, 5486, 40452, 123410, 124122, 17792, 103234, 105184, 33563, 32977, 30591, 110027, 38144, 23039, 30297, 109215, 32977, 20834, 38144, 109749, 123253, 9174, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 112990, 5486, 103768, 108436, 103087, 35330, 29295, 105755, 109215, 121711, 46034, 56965, 71289, 40452, 17663, 125231, 105908, 115079, 58942, 33541, 1811, 122491, 30512, 102332, 80195, 54926, 104983, 102052, 115515, 123470, 118482, 109853, 16144, 112169, 34171, 104309, 30512, 78698, 101557, 106, 15024, 102332, 80195, 54926, 118733, 21990, 100204, 30369, 68408, 39850, 37823, 67075, 29295, 109215, 109947, 124490, 26854, 102944, 103195, 32149, 104309, 110022, 40862, 112535, 122225, 54926, 105908, 109215, 38641, 9174, 567, 107531, 17792, 108695, 102332, 80195, 16144, 107507, 101198, 94550, 15682, 107803, 113468, 108901, 109020, 198, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 107803, 20230, 106608, 100204, 38144, 108901, 26854, 31431, 33541, 1811, 26854, 112371, 105110, 81219, 5486, 122491, 108695, 30512, 102332, 80195, 39926, 13177, 104405, 56051, 118544, 59712, 104405, 26854, 31431, 106956, 32149, 10646, 104309, 114435, 106613, 112167, 16144, 112169, 34171, 71289, 106613, 112167, 121894, 15682, 108695, 113468, 108901, 109020, 55031, 38641, 9174, 11144, 122491, 102332, 80195, 16144, 107507, 101198, 94550, 121711, 50928, 30369, 107803, 101961, 27452, 112479, 12, 108182, 50928, 19732, 105525, 115442, 111419, 109518, 110276, 33503, 198, 12, 112828, 101275, 26955, 94, 27384, 71289, 103359, 122491, 111363, 91482, 76428, 102750, 22398, 117824, 102334, 16995, 198, 12, 119767, 38093, 33563, 117126, 16144, 104622, 110053, 114475, 76622, 106956, 198, 85701, 33503, 15682, 30591, 47884, 103296, 15120, 27452, 119627, 5486, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 16144, 121846, 19732, 125545, 1811, 122491, 33208, 30512, 111800, 118219, 103792, 121568, 118482, 36668, 15682, 5486, 118789, 112535, 67645, 120950, 127749, 110276, 33503, 108695, 102332, 80195, 30512, 78698, 101557, 106, 15024, 27704, 109315, 104865, 114140, 30512, 39926, 64121, 17129, 109954, 9174, 14711, 108182, 50928, 19732, 105525, 115442, 111419, 109518, 110276, 33503, 78698, 105262, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 5486, 32938, 50928, 19732, 105525, 115442, 111419, 109518, 110276, 110018, 38641, 1811, 111419, 109518, 71689, 16144, 32938, 50928, 71289, 105525, 17905, 107407, 107803, 102052, 5486, 85188, 44416, 28190, 16556, 107792, 85188, 8239, 114503, 29295, 125494, 108608, 55031, 38641, 1811, 34676, 114565, 25963, 66224, 110895, 23897, 123470, 32938, 50928, 85188, 16144, 85188, 96455, 112479, 111681, 85188, 107001, 32938, 50928, 35330, 109518, 198, 91, 85188, 96455, 198, 103851, 21418, 109518, 198, 91, 16, 11, 931, 35757, 55031, 16, 11, 24680, 11, 931, 35757, 103296, 198, 20, 113127, 198, 91, 15, 35757, 198, 605, 113127, 198, 3534, 11, 2636, 35757, 198, 91, 18, 11, 3101, 11, 931, 35757, 55031, 21, 11, 24680, 11, 931, 35757, 103296, 198, 508, 113127, 198, 20465, 11, 2636, 35757, 198, 91, 21, 11, 15862, 11, 931, 35757, 55031, 23, 11, 5500, 11, 931, 35757, 103296, 198, 1419, 113127, 198, 22422, 11, 931, 35757, 198, 1644, 113127, 198, 16, 11, 21600, 11, 931, 35757, 198, 91, 972, 11, 931, 11, 931, 35757, 55031, 2137, 11, 5500, 11, 931, 35757, 103296, 198, 1272, 113127, 198, 17, 11, 24832, 11, 931, 35757, 198, 1774, 113127, 198, 19, 11, 24832, 11, 931, 35757, 198, 11144, 103507, 34208, 46702, 110895, 23897, 123470, 122491, 85188, 16144, 85188, 96455, 110124, 229, 22656, 35330, 109518, 20713, 117913, 35757, 88852, 16144, 25333, 107707, 107803, 112479, 4728, 110743, 88852, 16144, 105494, 113115, 54926, 85188, 96455, 198, 4728, 110743, 72404, 16144, 105494, 113115, 54926, 85188, 96455, 198, 91, 110219, 122491, 198, 868, 113127, 198, 1419, 13, 508, 14062, 126543, 21418, 48915, 118482, 103195, 122491, 198, 777, 113127, 198, 1419, 13, 508, 113127, 198, 108446, 85188, 109518, 30512, 70203, 23187, 54926, 104983, 16144, 13177, 111681, 85188, 32938, 50928, 112649, 105784, 85188, 96455, 10646, 15682, 5486, 111681, 85188, 32938, 50928, 109518, 29295, 24394, 110743, 30512, 72404, 58942, 104533, 32938, 50928, 85188, 105755, 122491, 85188, 120332, 29295, 103167, 115737, 31431, 5486, 111681, 85188, 32938, 50928, 109518, 29295, 4728, 110743, 30512, 72404, 58942, 104533, 122491, 85188, 16144, 108446, 85188, 109518, 120332, 29295, 117355, 114485, 78434, 109807, 103846, 5486, 111681, 85188, 32938, 50928, 109518, 29295, 4728, 110743, 119012, 33503, 122491, 102332, 80195, 30512, 113727, 104533, 57980, 117201, 109954, 9174, 53900, 5486, 25963, 8107, 123628, 111681, 85188, 105525, 17905, 45736, 29295, 16, 11, 931, 110743, 30512, 72404, 107800, 121568, 118482, 36668, 15682, 5486, 122491, 102332, 80195, 113468, 33420, 106382, 85188, 16144, 103048, 85188, 29295, 88367, 121711, 33541, 1811, 25963, 8107, 123628, 111681, 85188, 105525, 17905, 45736, 29295, 16, 11, 931, 110743, 30512, 72404, 58942, 100934, 19732, 106116, 8107, 55031, 33420, 106382, 85188, 16144, 108446, 85188, 104577, 102781, 29295, 102404, 21990, 78434, 29295, 5486, 122491, 102332, 80195, 113468, 103048, 85188, 16144, 66378, 27452, 103359, 47523, 117282, 105908, 108608, 55031, 38641, 9174, 90620, 15024, 5486, 33420, 106382, 85188, 103048, 85188, 16144, 66378, 27452, 114475, 105784, 102052, 77195, 30512, 112624, 28713, 17663, 109215, 115991, 5486, 102332, 80195, 125344, 103087, 22656, 35330, 109518, 29295, 16, 11, 931, 110743, 88852, 16556, 66378, 23187, 17039, 106045, 102332, 80195, 122491, 16556, 100604, 100909, 71289, 5486, 66378, 23187, 117232, 16144, 105525, 17905, 45736, 29295, 16, 11, 931, 110743, 30512, 72404, 119841, 123160, 126543, 77195, 115991, 33541, 1811, 30926, 112772, 29504, 85188, 11795, 223, 6748, 13177, 108446, 85188, 104577, 102781, 16144, 103048, 21418, 118587, 114140, 54926, 104466, 103801, 109954, 9174, 14711, 112828, 101275, 26955, 94, 27384, 71289, 103359, 122491, 111363, 91482, 76428, 102750, 22398, 104309, 55031, 78698, 105262, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 5486, 118482, 26955, 94, 27384, 71289, 103359, 122491, 111363, 91482, 76428, 102750, 22398, 104309, 117824, 102334, 118544, 104309, 16556, 113727, 104533, 57980, 117201, 109954, 1811, 122491, 102332, 80195, 113468, 106222, 117758, 122975, 29295, 45736, 109709, 5486, 18655, 73686, 61826, 30512, 115079, 126172, 100909, 71289, 103087, 35330, 104873, 104067, 16144, 103350, 102321, 20230, 103721, 233, 102639, 30369, 105908, 88367, 117282, 55031, 38641, 9174, 28713, 19732, 116285, 5486, 122491, 16556, 123207, 120273, 103664, 29295, 118765, 91482, 76428, 102750, 22398, 71289, 5486, 114435, 106045, 54872, 126636, 112495, 18655, 73686, 61826, 30512, 122635, 109768, 105898, 16995, 102677, 107803, 102052, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 38641, 1811, 122491, 102332, 80195, 113468, 108695, 16144, 107963, 31634, 71289, 106613, 112167, 127749, 104309, 29295, 106222, 20230, 35417, 20379, 107001, 103846, 5486, 103359, 25333, 107707, 91482, 76428, 102750, 22398, 117824, 30297, 105908, 88367, 121711, 33541, 9174, 53900, 5486, 118482 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 106222, 9554, 117375, 28190, 16556, 104721, 33208, 54926, 44915, 16144, 125261, 101961, 27452, 112479, 106222, 9554, 22023, 117943, 27479, 198, 118482, 16144, 107963, 31634, 104309, 15682, 102099, 102782, 58655, 125030, 67645, 109709, 5486, 112415, 16144, 103350, 107328, 29295, 102178, 111665, 21105, 98, 33503, 102334, 62004, 103167, 16995, 102083, 105262, 198, 122491, 29741, 61304, 113468, 108695, 16144, 107963, 31634, 29295, 106222, 20230, 35417, 20379, 107001, 103846, 122603, 16995, 102083, 105262, 198, 113160, 49988, 16144, 119318, 116310, 198, 121019, 16144, 113160, 49988, 15682, 121568, 1811, 113160, 49988, 16144, 119318, 116310, 15682, 108285, 16995, 198, 102422, 113160, 49988, 61337, 102351, 16556, 106391, 13153, 54926, 25333, 107707, 126513, 20834, 103087, 109518, 30512, 48249, 27479, 117408, 103846, 5486, 113160, 49988, 16144, 119318, 116310, 15682, 101462, 255, 16995, 198, 28713, 19732, 116285, 5486, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 56051, 107803, 102052, 106222, 9554, 22023, 117943, 27479, 29295, 104721, 116547, 33541, 1811, 122491, 30512, 102332, 80195, 54926, 104983, 20230, 59614, 101860, 23039, 30297, 13177, 122491, 29741, 61304, 10646, 121960, 5486, 108695, 16144, 113173, 71289, 118482, 44915, 104309, 29295, 25333, 102781, 91077, 16556, 117859, 112984, 30512, 106613, 38144, 106222, 20230, 35417, 20379, 110731, 105879, 5486, 108950, 31958, 34171, 29295, 106529, 33563, 107001, 100909, 115717, 22023, 117943, 27479, 29295, 45736, 115737, 104533, 78244, 105262, 123253, 9174, 53900, 5486, 108695, 29295, 105987, 106518, 56051, 39177, 123160, 104983, 20230, 13870, 223, 111587, 54926, 101427, 113, 102781, 16144, 46456, 124237, 16995, 113160, 49988, 109853, 32977, 104721, 33208, 115991, 33541, 1811, 102159, 107707, 112686, 106518, 30512, 32977, 76947, 72661, 13870, 223, 111587, 113160, 49988, 29295, 21990, 100204, 30369, 121568, 118482, 36668, 113115, 39926, 5486, 102422, 113160, 49988, 61337, 102351, 16556, 106391, 13153, 54926, 122491, 108695, 104309, 15682, 20834, 103087, 109518, 30512, 48249, 27479, 103306, 107991, 103846, 108048, 71689, 16144, 113160, 49988, 30512, 109972, 30297, 105908, 123733, 31431, 33541, 9174, 126738, 5486, 121568, 118482, 36668, 32977, 13177, 33122, 18476, 29741, 61304, 66383, 95604, 46034, 106307, 50834, 117824, 30297, 19732, 108695, 16144, 107963, 31634, 104309, 30512, 106222, 20230, 35417, 20379, 54926, 109335, 108608, 101200, 115717, 33541, 115397, 24273, 16556, 5486, 25333, 114754, 23039, 30297, 13177, 122491, 29741, 61304, 66383, 57106, 103854, 104533, 50928, 110071, 39850, 37823, 67075, 71289, 22023, 117943, 27479, 29295, 108901, 109020, 103846, 36896, 122491, 29741, 61304, 118587, 39926, 50928, 110071, 13177, 106222, 9554, 117375, 28190, 10646, 113245, 39850, 37823, 67075, 107118, 26854, 112649, 30512, 114140, 39926, 33334, 50834, 17129, 109954, 9174, 14711, 119767, 38093, 9554, 117375, 28190, 16144, 39850, 37823, 67075, 15682, 106222, 117758, 122975, 29295, 45736, 115464, 100909, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 118733, 50928, 110071, 13177, 106222, 9554, 117375, 28190, 117503, 39850, 37823, 67075, 15682, 5486, 106222, 117758, 122975, 29295, 45736, 115464, 100909, 38641, 1811, 122975, 29295, 45736, 115464, 118733, 108948, 32977, 20230, 25963, 118821, 105908, 118482, 103768, 112167, 17905, 23039, 114774, 17663, 47884, 109020, 125396, 115991, 33541, 9174, 12, 121619, 73686, 61826, 30512, 115079, 126172, 100909, 71289, 5486, 114734, 101513, 97518, 117758, 122975, 30512, 50928, 126172, 47884, 109020, 198, 12, 103067, 229, 11883, 29295, 15024, 126172, 47884, 109020, 198, 122491, 102332, 80195, 16144, 104983, 20230, 13177, 121450, 118587, 102332, 80195, 56051, 107803, 102052, 5486, 18655, 73686, 61826, 30512, 115079, 126172, 100909, 71289, 106075, 103087, 114475, 76622, 126172, 47884, 109020, 125396, 115991, 33541, 1811, 121450, 15682, 5486, 121410, 110895, 16144, 104662, 70203, 44915, 30512, 125525, 101513, 97518, 112810, 103195, 102078, 78943, 20230, 19012, 110, 107121, 54926, 103846, 5486, 18655, 73686, 61826, 71289, 114734, 101513, 97518, 29295, 108695, 16144, 106613, 112167, 127749, 30512, 30926, 112772, 102178, 111665, 108608, 101200, 115717, 5486, 108695, 16144, 108950, 31958, 34171, 71289, 105298, 37087, 34171, 29295, 70141, 17905, 107001, 55031, 38641, 9174, 53900, 5486, 122491, 108695, 29295, 123532, 101275, 102351, 30512, 25132, 229, 11883, 54926, 104983, 102052, 5486, 8239, 112, 122502, 75146, 107253, 25333, 20230, 123532, 16995, 25132, 229, 11883, 33563, 117126, 16144, 64531, 104874, 104309, 75146, 107253, 25333, 20230, 75146, 109669, 47884, 25333, 103507, 30512, 30250, 113, 106154, 54926, 104577, 102781, 115991, 33541, 109807, 103846, 5486, 122491, 35083, 107407, 118733, 8239, 112, 122502, 117501, 71289, 75293, 110053, 28190, 29295, 64531, 103836, 102677, 25197, 126989, 20230, 103721, 233, 29295, 31431, 5486, 25132, 229, 11883, 29295, 15024, 126172, 115737, 104533, 78244, 105262, 123253, 9174, 126738, 5486, 122491, 30512, 102332, 80195, 15024, 122975, 30512, 50928, 126172, 115737, 100472, 55031, 102083, 76947, 5486, 59614, 101860, 15024, 32977, 106075, 103087, 29295, 101682, 76622, 102204, 104533, 15682, 48249, 31431, 107515, 1811, 106075, 103087, 114475, 105784, 102052, 5486, 112686, 102781, 127749, 20230, 21601, 107290, 118482, 16144, 82420, 55723, 34171, 104309, 114734, 101513, 97518, 113468, 108901, 109020, 117859, 112984, 75146, 107253, 30512, 112624, 110467, 110022, 40862, 112535, 122225, 107001, 102677, 106592, 112854, 107290, 33334, 50834, 17129, 109954, 9174, 14711, 119767, 38093, 9554, 117375, 28190, 16144, 68408, 39850, 37823, 67075, 15682, 46034, 56965, 71289, 40452, 17663, 125231, 105908, 115079, 105262, 100909, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 118733, 21990, 100204, 30369, 13177, 106222, 9554, 117375, 28190, 117503, 68408, 39850, 37823, 67075, 15682, 5486, 46034, 56965, 71289, 40452, 17663, 125231, 105908, 115079, 105262, 100909, 38641, 1811, 115079, 105262, 31634, 63212, 103306, 108948, 32977, 20230, 25963, 118821, 105908, 123680, 102639, 102204, 33541, 9174, 12, 105864, 255, 80195, 71289, 103768, 112167, 46034, 106307, 50834, 29295, 102404, 21990, 54926, 198, 12, 85241, 241, 101275, 102351, 30512, 25132, 229, 11883, 56051, 107803, 102052, 40452, 17663, 125231, 105908, 115079, 105262, 198, 28713, 19732, 116285, 5486, 122491, 30512, 102332, 80195, 54926, 124122, 13177, 122491, 29741, 61304, 10646, 121960, 5486, 106382, 11883, 28190, 113245, 102332, 80195, 103087, 35330, 29295, 109215, 108176, 68408, 39850, 37823, 67075, 20230, 21601, 107290, 102332, 80195, 46034, 106307, 50834, 29295, 102404, 21990, 78434, 124845, 5486, 102332, 80195, 74482, 102052, 107734, 102351, 16144, 49988, 23538, 104309, 20230, 106608, 100204, 28713, 110895, 16144, 28713, 102802, 20230, 122489, 29741, 61304, 16144, 102782, 109311, 123160, 123357, 46034, 106307, 50834, 117824, 78183, 103470, 38144, 15682, 26854, 31431, 107515, 9174, 53900, 5486, 122491, 30512, 102332, 80195, 15024, 118482, 30512, 26955, 94, 27384, 109768, 47884, 20230, 30591, 115926, 123532, 101275, 102351, 30512, 43240, 47884, 25132, 229, 11883, 56051, 107803, 102052, 5486, 106222, 33563, 117126, 114556, 78183, 30369, 100909, 71289, 110698, 58318, 16144, 46456, 124237, 16995, 104309, 40452, 17663, 125231, 105908, 115079, 58942, 33541, 109807, 103846, 5486, 40452, 123410, 124122, 17792, 103234, 105184, 33563, 32977, 30591, 110027, 38144, 23039, 30297, 109215, 32977, 20834, 38144, 109749, 123253, 9174, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 112990, 5486, 103768, 108436, 103087, 35330, 29295, 105755, 109215, 121711, 46034, 56965, 71289, 40452, 17663, 125231, 105908, 115079, 58942, 33541, 1811, 122491, 30512, 102332, 80195, 54926, 104983, 102052, 115515, 123470, 118482, 109853, 16144, 112169, 34171, 104309, 30512, 78698, 101557, 106, 15024, 102332, 80195, 54926, 118733, 21990, 100204, 30369, 68408, 39850, 37823, 67075, 29295, 109215, 109947, 124490, 26854, 102944, 103195, 32149, 104309, 110022, 40862, 112535, 122225, 54926, 105908, 109215, 38641, 9174, 567, 107531, 17792, 108695, 102332, 80195, 16144, 107507, 101198, 94550, 15682, 107803, 113468, 108901, 109020, 198, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 107803, 20230, 106608, 100204, 38144, 108901, 26854, 31431, 33541, 1811, 26854, 112371, 105110, 81219, 5486, 122491, 108695, 30512, 102332, 80195, 39926, 13177, 104405, 56051, 118544, 59712, 104405, 26854, 31431, 106956, 32149, 10646, 104309, 114435, 106613, 112167, 16144, 112169, 34171, 71289, 106613, 112167, 121894, 15682, 108695, 113468, 108901, 109020, 55031, 38641, 9174, 11144, 122491, 102332, 80195, 16144, 107507, 101198, 94550, 121711, 50928, 30369, 107803, 101961, 27452, 112479, 12, 108182, 50928, 19732, 105525, 115442, 111419, 109518, 110276, 33503, 198, 12, 112828, 101275, 26955, 94, 27384, 71289, 103359, 122491, 111363, 91482, 76428, 102750, 22398, 117824, 102334, 16995, 198, 12, 119767, 38093, 33563, 117126, 16144, 104622, 110053, 114475, 76622, 106956, 198, 85701, 33503, 15682, 30591, 47884, 103296, 15120, 27452, 119627, 5486, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 16144, 121846, 19732, 125545, 1811, 122491, 33208, 30512, 111800, 118219, 103792, 121568, 118482, 36668, 15682, 5486, 118789, 112535, 67645, 120950, 127749, 110276, 33503, 108695, 102332, 80195, 30512, 78698, 101557, 106, 15024, 27704, 109315, 104865, 114140, 30512, 39926, 64121, 17129, 109954, 9174, 14711, 108182, 50928, 19732, 105525, 115442, 111419, 109518, 110276, 33503, 78698, 105262, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 5486, 32938, 50928, 19732, 105525, 115442, 111419, 109518, 110276, 110018, 38641, 1811, 111419, 109518, 71689, 16144, 32938, 50928, 71289, 105525, 17905, 107407, 107803, 102052, 5486, 85188, 44416, 28190, 16556, 107792, 85188, 8239, 114503, 29295, 125494, 108608, 55031, 38641, 1811, 34676, 114565, 25963, 66224, 110895, 23897, 123470, 32938, 50928, 85188, 16144, 85188, 96455, 112479, 111681, 85188, 107001, 32938, 50928, 35330, 109518, 198, 91, 85188, 96455, 198, 103851, 21418, 109518, 198, 91, 16, 11, 931, 35757, 55031, 16, 11, 24680, 11, 931, 35757, 103296, 198, 20, 113127, 198, 91, 15, 35757, 198, 605, 113127, 198, 3534, 11, 2636, 35757, 198, 91, 18, 11, 3101, 11, 931, 35757, 55031, 21, 11, 24680, 11, 931, 35757, 103296, 198, 508, 113127, 198, 20465, 11, 2636, 35757, 198, 91, 21, 11, 15862, 11, 931, 35757, 55031, 23, 11, 5500, 11, 931, 35757, 103296, 198, 1419, 113127, 198, 22422, 11, 931, 35757, 198, 1644, 113127, 198, 16, 11, 21600, 11, 931, 35757, 198, 91, 972, 11, 931, 11, 931, 35757, 55031, 2137, 11, 5500, 11, 931, 35757, 103296, 198, 1272, 113127, 198, 17, 11, 24832, 11, 931, 35757, 198, 1774, 113127, 198, 19, 11, 24832, 11, 931, 35757, 198, 11144, 103507, 34208, 46702, 110895, 23897, 123470, 122491, 85188, 16144, 85188, 96455, 110124, 229, 22656, 35330, 109518, 20713, 117913, 35757, 88852, 16144, 25333, 107707, 107803, 112479, 4728, 110743, 88852, 16144, 105494, 113115, 54926, 85188, 96455, 198, 4728, 110743, 72404, 16144, 105494, 113115, 54926, 85188, 96455, 198, 91, 110219, 122491, 198, 868, 113127, 198, 1419, 13, 508, 14062, 126543, 21418, 48915, 118482, 103195, 122491, 198, 777, 113127, 198, 1419, 13, 508, 113127, 198, 108446, 85188, 109518, 30512, 70203, 23187, 54926, 104983, 16144, 13177, 111681, 85188, 32938, 50928, 112649, 105784, 85188, 96455, 10646, 15682, 5486, 111681, 85188, 32938, 50928, 109518, 29295, 24394, 110743, 30512, 72404, 58942, 104533, 32938, 50928, 85188, 105755, 122491, 85188, 120332, 29295, 103167, 115737, 31431, 5486, 111681, 85188, 32938, 50928, 109518, 29295, 4728, 110743, 30512, 72404, 58942, 104533, 122491, 85188, 16144, 108446, 85188, 109518, 120332, 29295, 117355, 114485, 78434, 109807, 103846, 5486, 111681, 85188, 32938, 50928, 109518, 29295, 4728, 110743, 119012, 33503, 122491, 102332, 80195, 30512, 113727, 104533, 57980, 117201, 109954, 9174, 53900, 5486, 25963, 8107, 123628, 111681, 85188, 105525, 17905, 45736, 29295, 16, 11, 931, 110743, 30512, 72404, 107800, 121568, 118482, 36668, 15682, 5486, 122491, 102332, 80195, 113468, 33420, 106382, 85188, 16144, 103048, 85188, 29295, 88367, 121711, 33541, 1811, 25963, 8107, 123628, 111681, 85188, 105525, 17905, 45736, 29295, 16, 11, 931, 110743, 30512, 72404, 58942, 100934, 19732, 106116, 8107, 55031, 33420, 106382, 85188, 16144, 108446, 85188, 104577, 102781, 29295, 102404, 21990, 78434, 29295, 5486, 122491, 102332, 80195, 113468, 103048, 85188, 16144, 66378, 27452, 103359, 47523, 117282, 105908, 108608, 55031, 38641, 9174, 90620, 15024, 5486, 33420, 106382, 85188, 103048, 85188, 16144, 66378, 27452, 114475, 105784, 102052, 77195, 30512, 112624, 28713, 17663, 109215, 115991, 5486, 102332, 80195, 125344, 103087, 22656, 35330, 109518, 29295, 16, 11, 931, 110743, 88852, 16556, 66378, 23187, 17039, 106045, 102332, 80195, 122491, 16556, 100604, 100909, 71289, 5486, 66378, 23187, 117232, 16144, 105525, 17905, 45736, 29295, 16, 11, 931, 110743, 30512, 72404, 119841, 123160, 126543, 77195, 115991, 33541, 1811, 30926, 112772, 29504, 85188, 11795, 223, 6748, 13177, 108446, 85188, 104577, 102781, 16144, 103048, 21418, 118587, 114140, 54926, 104466, 103801, 109954, 9174, 14711, 112828, 101275, 26955, 94, 27384, 71289, 103359, 122491, 111363, 91482, 76428, 102750, 22398, 104309, 55031, 78698, 105262, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 5486, 118482, 26955, 94, 27384, 71289, 103359, 122491, 111363, 91482, 76428, 102750, 22398, 104309, 117824, 102334, 118544, 104309, 16556, 113727, 104533, 57980, 117201, 109954, 1811, 122491, 102332, 80195, 113468, 106222, 117758, 122975, 29295, 45736, 109709, 5486, 18655, 73686, 61826, 30512, 115079, 126172, 100909, 71289, 103087, 35330, 104873, 104067, 16144, 103350, 102321, 20230, 103721, 233, 102639, 30369, 105908, 88367, 117282, 55031, 38641, 9174, 28713, 19732, 116285, 5486, 122491, 16556, 123207, 120273, 103664, 29295, 118765, 91482, 76428, 102750, 22398, 71289, 5486, 114435, 106045, 54872, 126636, 112495, 18655, 73686, 61826, 30512, 122635, 109768, 105898, 16995, 102677, 107803, 102052, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 38641, 1811, 122491, 102332, 80195, 113468, 108695, 16144, 107963, 31634, 71289, 106613, 112167, 127749, 104309, 29295, 106222, 20230, 35417, 20379, 107001, 103846, 5486, 103359, 25333, 107707, 91482, 76428, 102750, 22398, 117824, 30297, 105908, 88367, 121711, 33541, 9174, 53900, 5486, 118482 ]
[ 16144, 26955, 94, 27384, 71289, 105755, 57980, 16995, 120370, 126330, 16144, 113009, 103087, 35330, 104873, 104067, 117824, 102334, 16995, 107803, 102052, 5486, 122491, 102332, 80195, 113468, 106222, 9554, 122975, 29295, 45736, 109709, 5486, 103087, 35330, 104873, 104067, 29295, 15024, 126172, 47884, 109020, 125396, 115991, 33541, 1811, 126330, 46729, 71289, 114734, 101513, 97518, 117758, 106075, 103087, 29295, 101682, 76622, 126172, 47884, 109020, 100909, 71289, 5486, 25333, 114754, 107740, 108608, 111983, 103129, 35330, 114305, 16144, 103359, 47523, 117282, 105908, 108608, 55031, 38641, 9174, 118482, 106045, 54872, 16144, 26955, 94, 27384, 71289, 102404, 77413, 16144, 113009, 17792, 103234, 105184, 33563, 30512, 103192, 126559, 107803, 105352, 5486, 122491, 102332, 80195, 113468, 25132, 229, 11883, 29295, 15024, 126172, 115737, 31431, 33541, 1811, 122491, 108695, 15682, 5486, 8239, 112, 122502, 75146, 107253, 25333, 16144, 30250, 113, 106154, 19732, 8239, 112, 122502, 117501, 16144, 64531, 104874, 29295, 104577, 102781, 122382, 125398, 103846, 5486, 108695, 111363, 122975, 27479, 29295, 115079, 15024, 43240, 119064, 32018, 107430, 30046, 117758, 106608, 119890, 30512, 43167, 109315, 105908, 88367, 108176, 123253, 9174, 14711, 119767, 38093, 33563, 117126, 16144, 104622, 110053, 104309, 55031, 78698, 105262, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 5486, 106222, 33563, 117126, 16144, 104622, 110053, 104309, 55031, 113727, 33541, 1811, 122491, 108695, 30512, 102332, 80195, 112990, 106222, 33563, 117126, 16144, 118065, 29295, 104577, 102781, 122382, 102204, 33541, 29295, 5486, 29504, 70821, 113614, 33563, 117126, 20230, 57106, 103854, 104533, 116907, 71289, 122013, 113115, 39926, 16144, 104622, 110053, 20230, 104364, 29295, 21990, 100204, 30369, 103846, 38641, 9174, 28713, 19732, 116285, 5486, 106222, 33563, 117126, 20230, 118065, 54926, 118733, 92877, 123470, 103087, 35330, 103306, 13177, 112950, 21990, 8107, 35330, 118587, 17905, 110498, 72342, 54926, 105908, 88367, 121711, 33541, 1811, 45163, 37507, 5486, 29504, 70821, 8107, 35330, 55031, 46456, 110698, 107001, 13177, 92877, 106036, 95, 75146, 17920, 236, 8107, 35330, 10646, 20230, 21601, 107290, 5486, 106222, 33563, 117126, 118065, 117232, 104309, 55031, 70203, 20834, 103646, 13177, 92877, 106036, 95, 112950, 21990, 8107, 35330, 10646, 114475, 76622, 18655, 104028, 105879, 104622, 110053, 84389, 104533, 78244, 105262, 123253, 9174, 53900, 5486, 106222, 33563, 117126, 20230, 118065, 30512, 112990, 122013, 30512, 13177, 122740, 113598, 10646, 20230, 108608, 105879, 5486, 113614, 33563, 117126, 42506, 16144, 109972, 106529, 30512, 117355, 114485, 54926, 105908, 88367, 38641, 1811, 29504, 70821, 113614, 33563, 117126, 15682, 122740, 113598, 102677, 126067, 29295, 103470, 5486, 122013, 32977, 102159, 104680, 20230, 118065, 15024, 33563, 117126, 42506, 30512, 46456, 124237, 30297, 110115, 103359, 15024, 5486, 106222, 33563, 117126, 15682, 122740, 113598, 124911, 9039, 114556, 78183, 121140, 101307, 33563, 117126, 112919, 33563, 117126, 42506, 16144, 46456, 124237, 16995, 116771, 121711, 33541, 9174, 126738, 5486, 122491, 108695, 15682, 106222, 33563, 117126, 42506, 16144, 13177, 108695, 109972, 106529, 17620, 118587, 106613, 106382, 20230, 82420, 17905, 54926, 105908, 88367, 38641, 1811, 123532, 101275, 102351, 30512, 25132, 229, 11883, 56051, 107803, 102052, 13177, 25132, 229, 11883, 33563, 117126, 10646, 71289, 13177, 8239, 112, 126462, 33563, 117126, 10646, 104309, 20230, 118065, 54926, 103846, 108695, 109972, 106529, 109518, 29295, 115079, 105262, 100909, 102052, 26854, 31431, 33541, 29295, 5486, 106613, 106382, 82420, 17905, 113468, 107792, 85188, 29295, 88367, 117282, 105879, 121846, 116446, 64121, 38144, 72315, 9174, 567, 220, 123011, 62004, 198, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 54926, 104983, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 15682, 5486, 118482, 83799, 107328, 29295, 108901, 109020, 100909, 113468, 104721, 33208, 54926, 13177, 106382, 11883, 28190, 66383, 13177, 106222, 9554, 117375, 28190, 10646, 55031, 21990, 100204, 33541, 1811, 39850, 37823, 67075, 103306, 5486, 106382, 11883, 28190, 16556, 107792, 85188, 29295, 88367, 119012, 31431, 106222, 9554, 117375, 28190, 77181, 122975, 29295, 45736, 115464, 105908, 123680, 102639, 102204, 33541, 9174, 53900, 5486, 68408, 39850, 37823, 67075, 103306, 15682, 106382, 11883, 28190, 16556, 103768, 108436, 103087, 35330, 29295, 115079, 105262, 100909, 71289, 5486, 106222, 9554, 117375, 28190, 16556, 46034, 56965, 71289, 40452, 17663, 125231, 105908, 115079, 105262, 105908, 123680, 102639, 102204, 33541, 1811, 122491, 30512, 102332, 80195, 54926, 104983, 102052, 5486, 102332, 80195, 54926, 118733, 21990, 100204, 30369, 68408, 39850, 37823, 67075, 29295, 109215, 109947, 124490, 26854, 102944, 103195, 32149, 104309, 30512, 110022, 40862, 112535, 122225, 54926, 105908, 109215, 38641, 9174, 126738, 5486, 122491, 108695, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 107803, 20230, 106608, 100204, 38144, 113727, 104533, 57980, 117201, 109954, 1811, 106613, 112167, 121894, 30512, 14167, 100, 64121, 38144, 13177, 85188, 109972, 106529, 30512, 104622, 61826, 107726, 106956, 10646, 107803, 71289, 5486, 18655, 73686, 61826, 30512, 115079, 71289, 15024, 13177, 118482, 26955, 94, 27384, 30512, 111629, 31431, 106956, 66383, 95604, 107803, 102052, 122491, 108695, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 19732, 78244, 105262, 105879, 5486, 91774, 33035, 15024, 30512, 121697, 30369, 121846, 116446, 64121, 38144, 72315, 1811, 128001, 128000, 14711, 27951, 105, 83601, 248, 102676, 103991, 15682, 25197, 126989, 16144, 103984, 112854, 33208, 198, 117896, 15682, 5486, 102676, 103991, 102181, 13177, 102741, 42634, 102494, 113883, 31809, 30813, 26854, 112258, 113, 10646, 33035, 25666, 105621, 117675, 39880, 16144, 109161, 102676, 114817, 83601, 248, 10110, 109161, 102676, 83601, 248, 72718, 7705, 118273, 29430, 16144, 71289, 31431, 24273, 115717, 33541, 9174, 109161, 102676, 114817, 83601, 248, 15682, 102491, 47884, 55031, 108044, 78183, 30369, 102676, 103991, 16556, 108048, 108422, 33121, 16144, 109161, 102676, 30512, 25197, 126989, 16556, 103984, 112854, 33208, 39926, 101171, 111, 16144, 37689, 109375, 104721, 37729, 30512, 113096, 17663, 103991, 38641, 9174, 76208, 45951, 240, 78519, 31809, 118273, 29430, 5486, 103070, 45951, 240, 78519, 31809, 118273, 29430, 5486, 127618, 30512, 23043, 237, 16995, 15024, 64209, 26274, 241, 30512, 32977, 59739, 21990, 123606, 26854, 50834, 102944, 16144, 118273, 29430, 104309, 5486, 43240, 9039, 16144, 118273, 29430, 29295, 109215, 121711, 33541, 9174, 28190, 105987, 32149, 110241, 33121, 107515, 29295, 106116, 17620, 112997, 29220, 102677, 44416, 103664, 29295, 21601, 116547, 5486, 20251, 119930, 109156, 31431, 126172, 16995, 10110, 120766, 15024, 126172, 16995, 7705, 105879, 103991, 15682, 104195, 48634, 108176, 123253, 9174, 64780, 114817, 83601, 248, 102676, 103991, 15682, 5486, 16906, 111, 28741, 102052, 13177, 114817, 83601, 248, 102676, 103991, 66383, 13177, 83601, 248, 72718, 102676, 103991, 10646, 20230, 17620, 32149, 33121, 33541, 9174, 114817, 83601, 248, 102676, 103991, 15682, 48915, 34048, 16144, 64810, 106384, 42634, 20251, 16144, 76739, 124643, 104603, 11972, 30512, 105994, 107809, 20230, 108167, 104526, 104004, 103991, 5486, 83601, 248, 72718, 102676, 103991, 15682, 48915, 34048, 16144, 107167, 108526, 20251, 16144, 76739, 124643, 104603, 11972, 30512, 66378, 23187, 16144, 116245, 20230, 105324, 104369, 103991, 9174, 110382, 77181, 13177, 109161, 102676, 114817, 83601, 248, 66383, 95604, 78183, 107277, 126172, 16995, 110904, 102158, 16556, 122984, 127145, 9174, 1275, 198, 567, 115799, 222, 29430, 16144, 107253, 104874, 9458, 89753, 33121, 16144, 50338, 108323, 91875, 55723, 198, 567, 126075, 31634, 26854, 102944, 198, 12, 106793, 246, 119178, 27929, 100472, 109161, 102676, 16144, 104371, 46028, 10110, 57207, 76428, 33710, 23954, 12, 4996, 43002, 46028, 30512, 110776, 103283, 54926, 68759, 76428, 115145, 90962, 106696, 10110, 109161, 102676, 29295, 106154, 106528, 54926, 115461, 78519, 90962, 106696, 29295, 102832, 102514, 23954, 12, 106369, 102765, 10110, 39880, 110101, 39850, 107805, 50667, 16144, 110631, 16995, 102765, 7705, 19732, 107391, 102860, 33710, 198, 12, 18630, 115468, 25333, 35757, 16144, 123717, 198, 12, 103993, 64936, 83799, 16144, 123717, 107809, 20230, 68759, 76428, 48552, 101198, 109554, 10110, 115592, 102803, 76171, 41758, 101198, 109554, 7705, 30512, 22324, 47884, 198, 12, 126075, 101860, 108115, 16144, 64467, 113663, 30512, 78659, 16325, 64467, 102416, 99741, 100815, 198, 12, 119806, 102860, 115132, 60868, 39850, 25197, 198, 12, 116807, 45951, 240, 78519, 10110, 112810, 20230, 102181, 102334, 102944, 71289, 5486, 108115, 16144, 99741, 117831, 25446, 72661, 31540, 1811, 102741, 42634, 102494, 113883, 103070, 45951, 240, 78519, 118816, 109461, 126521, 23954, 64780, 115592, 102803, 76171, 41758, 101198, 109554, 15682, 111199, 16995, 117785, 38641, 1811, 102676, 103991, 72516, 16556, 109198, 17701, 118765, 126513, 36896, 53610, 30512, 105714, 100472, 50211, 9444, 123, 20230, 119533, 21980, 223, 30512, 102936, 114267, 102944, 59712, 102472, 112718, 71289, 39880, 107167, 33710, 88631, 20230, 111199, 32131, 125135, 30512, 59657, 245, 100472, 102944, 10646, 104309, 16556, 31640, 11883, 125545, 9174, 64780, 108115, 16144, 122835, 15682, 59614, 116156, 38641, 1811, 66378, 20230, 112427, 103350, 20230, 71289, 31431, 106956, 116537, 53229, 105586, 77181, 13177, 103070, 45951, 240, 78519, 16144, 122835, 66383, 102181, 32149, 106824, 61689, 9174, 64780, 109161, 102676, 104371, 46028, 15682, 22656, 37507, 5486, 117271, 54926, 122830, 41401, 20230, 14608, 104, 104533, 116216, 61689, 29295, 5486, 102321, 31640, 77181, 17701, 46034, 110482, 111108, 26854, 122830, 32977, 96412, 123606, 33541, 1811, 37026, 19967, 54926, 126513, 13177, 122830, 39135, 16144, 112810, 20230, 110240, 47884, 10646, 101182, 16995, 15682, 13177, 101828, 112810, 20230, 122830, 39135, 16556, 110240, 47884, 10646, 123160, 49792, 101908, 29295, 109215, 38641, 9174, 64780, 27384, 25580, 29172, 103306, 5486, 113801, 108385, 72342, 16144, 102676, 103991, 104309, 16556, 13177, 104921, 239, 101067, 9458, 111134, 65299, 103857, 94550, 9458, 105324, 107246, 25333, 9458, 115541, 95221, 10646, 113468, 119237, 20230, 20251, 119930, 121894, 109156, 104028, 100909, 5486, 46702, 27384, 122548, 19732, 110298, 103664, 110776, 102181, 16144, 113954, 5486, 103984, 112854, 33208, 29295, 108608, 17905, 16556, 23039, 105262, 118273, 29430, 38641, 120234, 51385, 26854, 116537, 115541, 108710, 39926, 55031, 118273, 29430, 117824, 76947, 72315, 9174, 567, 115799, 222, 29430, 88367, 26854, 9080, 9458, 82973, 30512, 104873, 103854, 30369, 198, 14711, 102240, 106036, 95, 19732, 103672, 114265, 107507, 91062, 198, 12, 80019, 9953, 21909, 112624, 9953, 25580, 9080, 10110, 9953, 106036, 95, 17, 11, 19, 11, 21, 11, 23, 11, 605, 11, 717, 11, 975, 118816, 109461, 126521, 23954, 34226, 20230, 51330, 82973, 115351, 20230, 103672, 114265, 107507, 91062, 29295, 30358, 26854, 107462, 100604, 32149, 30512, 104873, 103854, 33541, 9174, 103672, 114265, 107507, 91062, 29295, 30358, 26854, 107462, 123207, 58426, 82973, 20230, 118273, 29430, 29295, 88367, 38641, 9174, 64780, 9953, 106036, 95, 29295, 115018, 9039, 9080, 107118, 5486, 9953, 16144, 88399, 99, 16556, 17039, 9953, 16144, 9080, 15682, 9953, 106036, 95, 27113, 5486, 112624, 9953, 16144, 9080, 15682, 9953, 106036, 95, 975, 121711, 33541, 1811, 57980, 76947, 118273, 29430, 117824, 30297, 104468, 115079, 111044, 117232, 16325, 121711, 33541, 9174, 14711, 107494, 236, 104297, 111848, 46456, 55487, 198, 109161, 102676, 15682, 106090, 104297, 113468, 101538, 105459, 20230, 105324, 102802, 20834, 110731, 105908, 57903, 110371, 39177, 114817, 83601, 248, 102052, 106608, 100204, 100604, 102083, 123671, 33541, 9174, 33671, 16144, 82973, 15682, 109161, 102676, 29295, 52591, 102540, 101983, 103836, 82973, 16556, 110371, 82973, 32943, 20230, 114817, 83601, 248, 78434, 9174, 12, 108312, 14382, 24, 39177, 21909, 717, 39177, 5486, 868, 39177, 21909, 9080, 72027, 198, 12, 103964, 113376, 1981, 116366, 103468, 117073, 117073, 20834, 21909, 37656, 35424, 198, 12, 220, 120580, 113376, 1981, 868, 39177, 21909, 1691, 39177, 5486, 1691, 39177, 21909, 117073, 20834, 198, 12, 107879, 109, 108761, 1981, 118705, 24273, 30512, 21418, 47884, 37087, 38144, 16144, 82973, 198, 12, 108312, 45829, 1981, 15120, 9080, 16325, 37087, 38144, 16144, 82973, 198, 12, 220, 107024, 113376, 1981, 15120, 9080, 16325, 37087, 38144, 16144, 82973, 10110, 106353, 107188, 116245, 118816, 109461, 126521, 23954, 12, 18630, 101, 236, 101559, 1981, 103309, 31958, 76622, 21909, 117073, 20834, 5486, 845, 39177, 21909, 9080, 72027, 198, 64780, 43514, 26854, 64121, 20230, 116882, 30046, 15682, 85701, 20230, 21601, 107290, 13177, 114817, 83601, 248, 54926, 109161, 102676, 29295, 106154, 106528, 54926, 115461, 78519, 82973, 118587, 78698, 101557, 106, 39926, 114817, 83601, 248, 127145, 1811, 90620, 15024, 9953, 106036, 95, 113468, 15682, 5486, 78698, 101557, 106, 118765, 39177, 32977, 101182, 105879, 115924, 103359, 77181, 124897, 9174, 567, 115799, 222, 29430, 16144, 107253, 104874, 198, 20713, 7705, 118273, 29430, 117824, 30297, 114834, 16144, 19012, 225, 21418, 5486, 64531, 22649, 64531, 124685, 198, 25963, 7705, 35894, 113351, 5486, 54656, 232, 10110, 17701, 118959, 23954, 34617, 7705, 111199, 44309, 20230, 100815, 109913, 58942, 5486, 103181, 109088, 16144, 99741, 117831, 25446, 30512, 96356, 20230, 100815, 105784, 198, 46702, 7705, 17297, 111629, 119775, 5486, 112368, 35757, 15682, 36, 6483, 29295, 101778, 20230, 37507, 30369, 104466, 107918, 20230, 102332, 22324, 78434, 1811, 101778, 29295, 37656, 28190, 112169, 115717, 33541, 1811, 46091, 64936, 83799, 15682, 112368, 35757, 16144, 36, 6483, 110366, 16144, 107918, 20230, 105360, 115694, 86867, 78434, 198, 44597, 7705, 112368, 35757, 107809, 106442, 10110, 91276, 120732, 112772, 115553, 45826, 229, 30512, 102332, 22324, 15024, 5486, 45893, 77913, 30512, 22324, 50834, 33541, 1811, 46091, 64936, 83799, 107809, 106442, 20230, 115592, 102803, 76171, 41758, 101198, 109554, 30512, 22324, 50834, 33541, 59459, 115251, 15682, 64121, 20834, 111243, 126521, 23954, 60596, 7705, 109161, 102676, 16144, 115552, 50338, 108323, 122481, 30512, 98499, 64121, 5486, 53283, 109375, 30512, 45736, 109315, 198, 80129, 112368, 35757, 19732, 46091, 64936, 83799, 16144, 86867, 198, 567, 120795, 42634, 102494, 113883, 5332, 118726, 9458, 109161, 102676, 114817, 83601 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26955, 94, 27384, 71289, 105755, 57980, 16995, 120370, 126330, 16144, 113009, 103087, 35330, 104873, 104067, 117824, 102334, 16995, 107803, 102052, 5486, 122491, 102332, 80195, 113468, 106222, 9554, 122975, 29295, 45736, 109709, 5486, 103087, 35330, 104873, 104067, 29295, 15024, 126172, 47884, 109020, 125396, 115991, 33541, 1811, 126330, 46729, 71289, 114734, 101513, 97518, 117758, 106075, 103087, 29295, 101682, 76622, 126172, 47884, 109020, 100909, 71289, 5486, 25333, 114754, 107740, 108608, 111983, 103129, 35330, 114305, 16144, 103359, 47523, 117282, 105908, 108608, 55031, 38641, 9174, 118482, 106045, 54872, 16144, 26955, 94, 27384, 71289, 102404, 77413, 16144, 113009, 17792, 103234, 105184, 33563, 30512, 103192, 126559, 107803, 105352, 5486, 122491, 102332, 80195, 113468, 25132, 229, 11883, 29295, 15024, 126172, 115737, 31431, 33541, 1811, 122491, 108695, 15682, 5486, 8239, 112, 122502, 75146, 107253, 25333, 16144, 30250, 113, 106154, 19732, 8239, 112, 122502, 117501, 16144, 64531, 104874, 29295, 104577, 102781, 122382, 125398, 103846, 5486, 108695, 111363, 122975, 27479, 29295, 115079, 15024, 43240, 119064, 32018, 107430, 30046, 117758, 106608, 119890, 30512, 43167, 109315, 105908, 88367, 108176, 123253, 9174, 14711, 119767, 38093, 33563, 117126, 16144, 104622, 110053, 104309, 55031, 78698, 105262, 198, 121568, 118482, 36668, 29295, 122491, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 5486, 106222, 33563, 117126, 16144, 104622, 110053, 104309, 55031, 113727, 33541, 1811, 122491, 108695, 30512, 102332, 80195, 112990, 106222, 33563, 117126, 16144, 118065, 29295, 104577, 102781, 122382, 102204, 33541, 29295, 5486, 29504, 70821, 113614, 33563, 117126, 20230, 57106, 103854, 104533, 116907, 71289, 122013, 113115, 39926, 16144, 104622, 110053, 20230, 104364, 29295, 21990, 100204, 30369, 103846, 38641, 9174, 28713, 19732, 116285, 5486, 106222, 33563, 117126, 20230, 118065, 54926, 118733, 92877, 123470, 103087, 35330, 103306, 13177, 112950, 21990, 8107, 35330, 118587, 17905, 110498, 72342, 54926, 105908, 88367, 121711, 33541, 1811, 45163, 37507, 5486, 29504, 70821, 8107, 35330, 55031, 46456, 110698, 107001, 13177, 92877, 106036, 95, 75146, 17920, 236, 8107, 35330, 10646, 20230, 21601, 107290, 5486, 106222, 33563, 117126, 118065, 117232, 104309, 55031, 70203, 20834, 103646, 13177, 92877, 106036, 95, 112950, 21990, 8107, 35330, 10646, 114475, 76622, 18655, 104028, 105879, 104622, 110053, 84389, 104533, 78244, 105262, 123253, 9174, 53900, 5486, 106222, 33563, 117126, 20230, 118065, 30512, 112990, 122013, 30512, 13177, 122740, 113598, 10646, 20230, 108608, 105879, 5486, 113614, 33563, 117126, 42506, 16144, 109972, 106529, 30512, 117355, 114485, 54926, 105908, 88367, 38641, 1811, 29504, 70821, 113614, 33563, 117126, 15682, 122740, 113598, 102677, 126067, 29295, 103470, 5486, 122013, 32977, 102159, 104680, 20230, 118065, 15024, 33563, 117126, 42506, 30512, 46456, 124237, 30297, 110115, 103359, 15024, 5486, 106222, 33563, 117126, 15682, 122740, 113598, 124911, 9039, 114556, 78183, 121140, 101307, 33563, 117126, 112919, 33563, 117126, 42506, 16144, 46456, 124237, 16995, 116771, 121711, 33541, 9174, 126738, 5486, 122491, 108695, 15682, 106222, 33563, 117126, 42506, 16144, 13177, 108695, 109972, 106529, 17620, 118587, 106613, 106382, 20230, 82420, 17905, 54926, 105908, 88367, 38641, 1811, 123532, 101275, 102351, 30512, 25132, 229, 11883, 56051, 107803, 102052, 13177, 25132, 229, 11883, 33563, 117126, 10646, 71289, 13177, 8239, 112, 126462, 33563, 117126, 10646, 104309, 20230, 118065, 54926, 103846, 108695, 109972, 106529, 109518, 29295, 115079, 105262, 100909, 102052, 26854, 31431, 33541, 29295, 5486, 106613, 106382, 82420, 17905, 113468, 107792, 85188, 29295, 88367, 117282, 105879, 121846, 116446, 64121, 38144, 72315, 9174, 567, 220, 123011, 62004, 198, 121568, 118482, 36668, 29295, 122491, 108695, 30512, 102332, 80195, 54926, 104983, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 15682, 5486, 118482, 83799, 107328, 29295, 108901, 109020, 100909, 113468, 104721, 33208, 54926, 13177, 106382, 11883, 28190, 66383, 13177, 106222, 9554, 117375, 28190, 10646, 55031, 21990, 100204, 33541, 1811, 39850, 37823, 67075, 103306, 5486, 106382, 11883, 28190, 16556, 107792, 85188, 29295, 88367, 119012, 31431, 106222, 9554, 117375, 28190, 77181, 122975, 29295, 45736, 115464, 105908, 123680, 102639, 102204, 33541, 9174, 53900, 5486, 68408, 39850, 37823, 67075, 103306, 15682, 106382, 11883, 28190, 16556, 103768, 108436, 103087, 35330, 29295, 115079, 105262, 100909, 71289, 5486, 106222, 9554, 117375, 28190, 16556, 46034, 56965, 71289, 40452, 17663, 125231, 105908, 115079, 105262, 105908, 123680, 102639, 102204, 33541, 1811, 122491, 30512, 102332, 80195, 54926, 104983, 102052, 5486, 102332, 80195, 54926, 118733, 21990, 100204, 30369, 68408, 39850, 37823, 67075, 29295, 109215, 109947, 124490, 26854, 102944, 103195, 32149, 104309, 30512, 110022, 40862, 112535, 122225, 54926, 105908, 109215, 38641, 9174, 126738, 5486, 122491, 108695, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 15682, 107803, 20230, 106608, 100204, 38144, 113727, 104533, 57980, 117201, 109954, 1811, 106613, 112167, 121894, 30512, 14167, 100, 64121, 38144, 13177, 85188, 109972, 106529, 30512, 104622, 61826, 107726, 106956, 10646, 107803, 71289, 5486, 18655, 73686, 61826, 30512, 115079, 71289, 15024, 13177, 118482, 26955, 94, 27384, 30512, 111629, 31431, 106956, 66383, 95604, 107803, 102052, 122491, 108695, 30512, 102332, 80195, 54926, 107507, 101198, 94550, 19732, 78244, 105262, 105879, 5486, 91774, 33035, 15024, 30512, 121697, 30369, 121846, 116446, 64121, 38144, 72315, 1811, 128001, 128000, 14711, 27951, 105, 83601, 248, 102676, 103991, 15682, 25197, 126989, 16144, 103984, 112854, 33208, 198, 117896, 15682, 5486, 102676, 103991, 102181, 13177, 102741, 42634, 102494, 113883, 31809, 30813, 26854, 112258, 113, 10646, 33035, 25666, 105621, 117675, 39880, 16144, 109161, 102676, 114817, 83601, 248, 10110, 109161, 102676, 83601, 248, 72718, 7705, 118273, 29430, 16144, 71289, 31431, 24273, 115717, 33541, 9174, 109161, 102676, 114817, 83601, 248, 15682, 102491, 47884, 55031, 108044, 78183, 30369, 102676, 103991, 16556, 108048, 108422, 33121, 16144, 109161, 102676, 30512, 25197, 126989, 16556, 103984, 112854, 33208, 39926, 101171, 111, 16144, 37689, 109375, 104721, 37729, 30512, 113096, 17663, 103991, 38641, 9174, 76208, 45951, 240, 78519, 31809, 118273, 29430, 5486, 103070, 45951, 240, 78519, 31809, 118273, 29430, 5486, 127618, 30512, 23043, 237, 16995, 15024, 64209, 26274, 241, 30512, 32977, 59739, 21990, 123606, 26854, 50834, 102944, 16144, 118273, 29430, 104309, 5486, 43240, 9039, 16144, 118273, 29430, 29295, 109215, 121711, 33541, 9174, 28190, 105987, 32149, 110241, 33121, 107515, 29295, 106116, 17620, 112997, 29220, 102677, 44416, 103664, 29295, 21601, 116547, 5486, 20251, 119930, 109156, 31431, 126172, 16995, 10110, 120766, 15024, 126172, 16995, 7705, 105879, 103991, 15682, 104195, 48634, 108176, 123253, 9174, 64780, 114817, 83601, 248, 102676, 103991, 15682, 5486, 16906, 111, 28741, 102052, 13177, 114817, 83601, 248, 102676, 103991, 66383, 13177, 83601, 248, 72718, 102676, 103991, 10646, 20230, 17620, 32149, 33121, 33541, 9174, 114817, 83601, 248, 102676, 103991, 15682, 48915, 34048, 16144, 64810, 106384, 42634, 20251, 16144, 76739, 124643, 104603, 11972, 30512, 105994, 107809, 20230, 108167, 104526, 104004, 103991, 5486, 83601, 248, 72718, 102676, 103991, 15682, 48915, 34048, 16144, 107167, 108526, 20251, 16144, 76739, 124643, 104603, 11972, 30512, 66378, 23187, 16144, 116245, 20230, 105324, 104369, 103991, 9174, 110382, 77181, 13177, 109161, 102676, 114817, 83601, 248, 66383, 95604, 78183, 107277, 126172, 16995, 110904, 102158, 16556, 122984, 127145, 9174, 1275, 198, 567, 115799, 222, 29430, 16144, 107253, 104874, 9458, 89753, 33121, 16144, 50338, 108323, 91875, 55723, 198, 567, 126075, 31634, 26854, 102944, 198, 12, 106793, 246, 119178, 27929, 100472, 109161, 102676, 16144, 104371, 46028, 10110, 57207, 76428, 33710, 23954, 12, 4996, 43002, 46028, 30512, 110776, 103283, 54926, 68759, 76428, 115145, 90962, 106696, 10110, 109161, 102676, 29295, 106154, 106528, 54926, 115461, 78519, 90962, 106696, 29295, 102832, 102514, 23954, 12, 106369, 102765, 10110, 39880, 110101, 39850, 107805, 50667, 16144, 110631, 16995, 102765, 7705, 19732, 107391, 102860, 33710, 198, 12, 18630, 115468, 25333, 35757, 16144, 123717, 198, 12, 103993, 64936, 83799, 16144, 123717, 107809, 20230, 68759, 76428, 48552, 101198, 109554, 10110, 115592, 102803, 76171, 41758, 101198, 109554, 7705, 30512, 22324, 47884, 198, 12, 126075, 101860, 108115, 16144, 64467, 113663, 30512, 78659, 16325, 64467, 102416, 99741, 100815, 198, 12, 119806, 102860, 115132, 60868, 39850, 25197, 198, 12, 116807, 45951, 240, 78519, 10110, 112810, 20230, 102181, 102334, 102944, 71289, 5486, 108115, 16144, 99741, 117831, 25446, 72661, 31540, 1811, 102741, 42634, 102494, 113883, 103070, 45951, 240, 78519, 118816, 109461, 126521, 23954, 64780, 115592, 102803, 76171, 41758, 101198, 109554, 15682, 111199, 16995, 117785, 38641, 1811, 102676, 103991, 72516, 16556, 109198, 17701, 118765, 126513, 36896, 53610, 30512, 105714, 100472, 50211, 9444, 123, 20230, 119533, 21980, 223, 30512, 102936, 114267, 102944, 59712, 102472, 112718, 71289, 39880, 107167, 33710, 88631, 20230, 111199, 32131, 125135, 30512, 59657, 245, 100472, 102944, 10646, 104309, 16556, 31640, 11883, 125545, 9174, 64780, 108115, 16144, 122835, 15682, 59614, 116156, 38641, 1811, 66378, 20230, 112427, 103350, 20230, 71289, 31431, 106956, 116537, 53229, 105586, 77181, 13177, 103070, 45951, 240, 78519, 16144, 122835, 66383, 102181, 32149, 106824, 61689, 9174, 64780, 109161, 102676, 104371, 46028, 15682, 22656, 37507, 5486, 117271, 54926, 122830, 41401, 20230, 14608, 104, 104533, 116216, 61689, 29295, 5486, 102321, 31640, 77181, 17701, 46034, 110482, 111108, 26854, 122830, 32977, 96412, 123606, 33541, 1811, 37026, 19967, 54926, 126513, 13177, 122830, 39135, 16144, 112810, 20230, 110240, 47884, 10646, 101182, 16995, 15682, 13177, 101828, 112810, 20230, 122830, 39135, 16556, 110240, 47884, 10646, 123160, 49792, 101908, 29295, 109215, 38641, 9174, 64780, 27384, 25580, 29172, 103306, 5486, 113801, 108385, 72342, 16144, 102676, 103991, 104309, 16556, 13177, 104921, 239, 101067, 9458, 111134, 65299, 103857, 94550, 9458, 105324, 107246, 25333, 9458, 115541, 95221, 10646, 113468, 119237, 20230, 20251, 119930, 121894, 109156, 104028, 100909, 5486, 46702, 27384, 122548, 19732, 110298, 103664, 110776, 102181, 16144, 113954, 5486, 103984, 112854, 33208, 29295, 108608, 17905, 16556, 23039, 105262, 118273, 29430, 38641, 120234, 51385, 26854, 116537, 115541, 108710, 39926, 55031, 118273, 29430, 117824, 76947, 72315, 9174, 567, 115799, 222, 29430, 88367, 26854, 9080, 9458, 82973, 30512, 104873, 103854, 30369, 198, 14711, 102240, 106036, 95, 19732, 103672, 114265, 107507, 91062, 198, 12, 80019, 9953, 21909, 112624, 9953, 25580, 9080, 10110, 9953, 106036, 95, 17, 11, 19, 11, 21, 11, 23, 11, 605, 11, 717, 11, 975, 118816, 109461, 126521, 23954, 34226, 20230, 51330, 82973, 115351, 20230, 103672, 114265, 107507, 91062, 29295, 30358, 26854, 107462, 100604, 32149, 30512, 104873, 103854, 33541, 9174, 103672, 114265, 107507, 91062, 29295, 30358, 26854, 107462, 123207, 58426, 82973, 20230, 118273, 29430, 29295, 88367, 38641, 9174, 64780, 9953, 106036, 95, 29295, 115018, 9039, 9080, 107118, 5486, 9953, 16144, 88399, 99, 16556, 17039, 9953, 16144, 9080, 15682, 9953, 106036, 95, 27113, 5486, 112624, 9953, 16144, 9080, 15682, 9953, 106036, 95, 975, 121711, 33541, 1811, 57980, 76947, 118273, 29430, 117824, 30297, 104468, 115079, 111044, 117232, 16325, 121711, 33541, 9174, 14711, 107494, 236, 104297, 111848, 46456, 55487, 198, 109161, 102676, 15682, 106090, 104297, 113468, 101538, 105459, 20230, 105324, 102802, 20834, 110731, 105908, 57903, 110371, 39177, 114817, 83601, 248, 102052, 106608, 100204, 100604, 102083, 123671, 33541, 9174, 33671, 16144, 82973, 15682, 109161, 102676, 29295, 52591, 102540, 101983, 103836, 82973, 16556, 110371, 82973, 32943, 20230, 114817, 83601, 248, 78434, 9174, 12, 108312, 14382, 24, 39177, 21909, 717, 39177, 5486, 868, 39177, 21909, 9080, 72027, 198, 12, 103964, 113376, 1981, 116366, 103468, 117073, 117073, 20834, 21909, 37656, 35424, 198, 12, 220, 120580, 113376, 1981, 868, 39177, 21909, 1691, 39177, 5486, 1691, 39177, 21909, 117073, 20834, 198, 12, 107879, 109, 108761, 1981, 118705, 24273, 30512, 21418, 47884, 37087, 38144, 16144, 82973, 198, 12, 108312, 45829, 1981, 15120, 9080, 16325, 37087, 38144, 16144, 82973, 198, 12, 220, 107024, 113376, 1981, 15120, 9080, 16325, 37087, 38144, 16144, 82973, 10110, 106353, 107188, 116245, 118816, 109461, 126521, 23954, 12, 18630, 101, 236, 101559, 1981, 103309, 31958, 76622, 21909, 117073, 20834, 5486, 845, 39177, 21909, 9080, 72027, 198, 64780, 43514, 26854, 64121, 20230, 116882, 30046, 15682, 85701, 20230, 21601, 107290, 13177, 114817, 83601, 248, 54926, 109161, 102676, 29295, 106154, 106528, 54926, 115461, 78519, 82973, 118587, 78698, 101557, 106, 39926, 114817, 83601, 248, 127145, 1811, 90620, 15024, 9953, 106036, 95, 113468, 15682, 5486, 78698, 101557, 106, 118765, 39177, 32977, 101182, 105879, 115924, 103359, 77181, 124897, 9174, 567, 115799, 222, 29430, 16144, 107253, 104874, 198, 20713, 7705, 118273, 29430, 117824, 30297, 114834, 16144, 19012, 225, 21418, 5486, 64531, 22649, 64531, 124685, 198, 25963, 7705, 35894, 113351, 5486, 54656, 232, 10110, 17701, 118959, 23954, 34617, 7705, 111199, 44309, 20230, 100815, 109913, 58942, 5486, 103181, 109088, 16144, 99741, 117831, 25446, 30512, 96356, 20230, 100815, 105784, 198, 46702, 7705, 17297, 111629, 119775, 5486, 112368, 35757, 15682, 36, 6483, 29295, 101778, 20230, 37507, 30369, 104466, 107918, 20230, 102332, 22324, 78434, 1811, 101778, 29295, 37656, 28190, 112169, 115717, 33541, 1811, 46091, 64936, 83799, 15682, 112368, 35757, 16144, 36, 6483, 110366, 16144, 107918, 20230, 105360, 115694, 86867, 78434, 198, 44597, 7705, 112368, 35757, 107809, 106442, 10110, 91276, 120732, 112772, 115553, 45826, 229, 30512, 102332, 22324, 15024, 5486, 45893, 77913, 30512, 22324, 50834, 33541, 1811, 46091, 64936, 83799, 107809, 106442, 20230, 115592, 102803, 76171, 41758, 101198, 109554, 30512, 22324, 50834, 33541, 59459, 115251, 15682, 64121, 20834, 111243, 126521, 23954, 60596, 7705, 109161, 102676, 16144, 115552, 50338, 108323, 122481, 30512, 98499, 64121, 5486, 53283, 109375, 30512, 45736, 109315, 198, 80129, 112368, 35757, 19732, 46091, 64936, 83799, 16144, 86867, 198, 567, 120795, 42634, 102494, 113883, 5332, 118726, 9458, 109161, 102676, 114817, 83601 ]
[ 248, 118273, 29430, 16144, 89753, 33121, 198, 14711, 10447, 252, 239, 101067, 198, 30591, 104699, 33503, 50667, 16144, 43568, 22649, 16144, 100604, 110783, 110095, 16556, 118146, 119962, 100204, 5486, 64209, 5486, 33014, 5486, 103892, 107809, 30512, 55031, 108005, 121, 20230, 78434, 9174, 118328, 47884, 23018, 19732, 126419, 20230, 32943, 110366, 16144, 102750, 102472, 103906, 52884, 29295, 48915, 102416, 20834, 100481, 50834, 33541, 1811, 109683, 16144, 105324, 107246, 16556, 5486, 103664, 78250, 17620, 108680, 9174, 14711, 115334, 32131, 65299, 103857, 94550, 198, 104921, 239, 101067, 117758, 89753, 33121, 16556, 5486, 110139, 110135, 55031, 27384, 30590, 102987, 47884, 124259, 102831, 30512, 17297, 85791, 15024, 112160, 22656, 16144, 76505, 108176, 25197, 126989, 30512, 78434, 9174, 103760, 109020, 27384, 30590, 55031, 102831, 30512, 108044, 76947, 89154, 76428, 103906, 52884, 26854, 107895, 29295, 33014, 107809, 102416, 17701, 76947, 50834, 33541, 9174, 89154, 76428, 103906, 52884, 26854, 107895, 15682, 111140, 16144, 30591, 28713, 112586, 43167, 103664, 84389, 33541, 9174, 14711, 106181, 117, 101129, 105324, 107246, 25333, 198, 110588, 101129, 10110, 102416, 27929, 55031, 64467, 25963, 22656, 17161, 17297, 7705, 30512, 37689, 109375, 56051, 105324, 107246, 25333, 9174, 34617, 59739, 9039, 107290, 118328, 47884, 52118, 25963, 59739, 82533, 109315, 52118, 34617, 59739, 16556, 107246, 30297, 52118, 25963, 59739, 82533, 109315, 1981, 16144, 37823, 78525, 91062, 16556, 110588, 101129, 30512, 37689, 109375, 21105, 103, 29295, 33503, 23039, 30297, 9174, 118694, 126036, 40526, 16556, 23018, 126198, 24273, 29295, 10110, 79785, 125334, 30369, 120264, 120332, 29295, 7705, 104712, 9174, 33014, 29295, 107969, 115737, 31431, 5486, 109972, 111600, 29295, 32149, 117295, 1811, 20251, 119930, 109156, 31431, 126172, 47884, 109020, 9174, 23897, 104989, 15682, 110588, 101129, 105324, 107246, 117824, 16995, 106272, 118273, 29430, 30512, 78434, 9174, 14711, 116201, 112, 95221, 198, 110588, 101129, 105324, 107246, 25333, 117824, 16995, 106272, 5486, 111140, 16144, 25580, 16556, 40862, 114666, 78434, 9174, 85701, 16556, 109683, 20230, 115541, 95221, 10110, 33014, 107809, 16556, 95221, 30512, 116348, 33503, 17663, 7705, 29295, 106084, 30369, 112973, 110219, 38641, 9174, 117032, 15682, 78659, 46034, 55031, 65917, 46034, 102416, 89753, 33121, 100481, 50834, 33541, 9174, 46034, 16144, 104328, 33503, 30512, 114715, 106627, 39926, 64121, 38144, 5486, 118937, 32149, 30813, 71289, 39135, 5486, 119049, 71289, 124623, 71289, 103858, 116, 95221, 120950, 102944, 30512, 25197, 126989, 78434, 9174, 14711, 108295, 100204, 109709, 16144, 118273, 29430, 10110, 112368, 35757, 16144, 106391, 113638, 23954, 114817, 83601, 248, 102676, 103991, 10110, 117745, 102676, 103991, 7705, 117824, 30297, 20230, 30591, 28713, 76947, 5486, 15682, 100204, 62004, 20230, 13177, 76208, 45951, 240, 78519, 31809, 118273, 29430, 16144, 104862, 101268, 118, 66383, 13177, 103070, 45951, 240, 78519, 31809, 118273, 29430, 16144, 104862, 101268, 118, 10646, 117824, 61689, 9174, 85701, 15682, 118273, 29430, 54926, 114834, 9458, 35894, 56965, 30512, 27699, 226, 33208, 15024, 5486, 101365, 110776, 26854, 75267, 103306, 23187, 62004, 59739, 59739, 36896, 51330, 118273, 29430, 15682, 66776, 9080, 40053, 103195, 66383, 104736, 109375, 124545, 113009, 109215, 26854, 102944, 38641, 9174, 58426, 74482, 5486, 103911, 104874, 114817, 83601, 248, 103306, 13177, 127618, 30512, 23043, 237, 16995, 15024, 64209, 26274, 241, 30512, 32977, 59739, 21990, 123606, 26854, 50834, 102944, 16144, 114817, 83601, 248, 10646, 117824, 61689, 118844, 16556, 112368, 35757, 30512, 104195, 107608, 26854, 102944, 20230, 78434, 9174, 14711, 118375, 103, 102676, 16144, 83601, 248, 72718, 198, 110382, 55031, 118273, 29430, 22656, 87217, 16144, 32938, 19967, 115717, 33541, 1811, 109161, 102676, 15682, 114817, 83601, 248, 102676, 103991, 10110, 25197, 126989, 16144, 102676, 103991, 7705, 115717, 33541, 9174, 110588, 101129, 105324, 107246, 25333, 19732, 115541, 95221, 117824, 16995, 106272, 71289, 31431, 33541, 9174, 68759, 76428, 115145, 90962, 106696, 30512, 64467, 107294, 76622, 5486, 109161, 102676, 104371, 46028, 20230, 59657, 245, 52927, 15024, 110776, 103283, 78434, 9174, 109161, 102676, 104371, 46028, 30512, 25580, 24273, 112649, 75694, 15024, 127359, 76428, 48552, 101198, 109554, 20230, 109161, 102676, 16144, 25197, 126989, 30512, 21105, 103, 29295, 33503, 5486, 33671, 16144, 83601, 248, 72718, 17161, 30512, 50520, 254, 110125, 78434, 9174, 14711, 118375, 103, 102676, 111363, 118279, 198, 113801, 106307, 50834, 109161, 102676, 104371, 46028, 30512, 25580, 24273, 112649, 75694, 39926, 110794, 33541, 9174, 58426, 74482, 109161, 102676, 102416, 105324, 102802, 126929, 33541, 9174, 109161, 102676, 29295, 46091, 64936, 83799, 107809, 109156, 30369, 106592, 120853, 102189, 31431, 5486, 109161, 26274, 255, 71289, 105522, 240, 79785, 16556, 116875, 108324, 54926, 126513, 108115, 16144, 122835, 30512, 16555, 122, 119775, 32149, 75694, 15024, 121551, 55031, 96356, 30512, 106154, 31431, 33541, 9174, 43568, 30926, 20230, 109161, 102676, 29295, 46091, 64936, 83799, 107809, 109156, 31431, 119436, 106624, 26854, 100472, 33503, 5486, 109161, 102676, 20230, 103070, 45951, 240, 78519, 104088, 72342, 5486, 115364, 124730, 30512, 108044, 58942, 33541, 9174, 124730, 15682, 76208, 99750, 124905, 76947, 118789, 112535, 25197, 126989, 78434, 9174, 78244, 124121, 20230, 56051, 24273, 29295, 103424, 117201, 109954, 9174, 120766, 48634, 29295, 106307, 47884, 48249, 31431, 109161, 102676, 110792, 103359, 87177, 30512, 106307, 76622, 33541, 9174, 14711, 118375, 103, 102676, 16144, 56906, 86436, 198, 124730, 30512, 37087, 38144, 108044, 58942, 103359, 87177, 30512, 105721, 107800, 33503, 5486, 109161, 102676, 30512, 24186, 16144, 102616, 102416, 56906, 86436, 107726, 33541, 9174, 33671, 16144, 56906, 86436, 17161, 30512, 98499, 64121, 109415, 33541, 9174, 46091, 64936, 83799, 107809, 20230, 102334, 109161, 102676, 16144, 25197, 126989, 30512, 46034, 54322, 78434, 9174, 14711, 106369, 78183, 111331, 118273, 29430, 198, 13177, 76208, 45951, 240, 78519, 31809, 118273, 29430, 16144, 104862, 101268, 118, 66383, 13177, 103070, 45951, 240, 78519, 31809, 118273, 29430, 16144, 104862, 101268, 118, 118587, 33334, 116547, 105352, 23039, 61689, 9174, 85701, 15682, 118273, 29430, 56051, 123470, 114834, 9458, 35894, 56965, 30512, 27699, 226, 33208, 15024, 36896, 85701, 105755, 9080, 40053, 20230, 114941, 30369, 66383, 104736, 109375, 124545, 105908, 113173, 38641, 9174, 567, 118375, 103, 102676, 114817, 83601, 248, 16144, 40452, 19732, 61633, 30926, 105904, 198, 118273, 29430, 29295, 105721, 78183, 100472, 109161, 102676, 104371, 46028, 15682, 5486, 91774, 119841, 110229, 20230, 106548, 107875, 30297, 112973, 104712, 123253, 9174, 116602, 106112, 16144, 105665, 5486, 102676, 21418, 76622, 16144, 126513, 66953, 115432, 16144, 32943, 89154, 113821, 50667, 69978, 103836, 30926, 30512, 112727, 33121, 120550, 110229, 102416, 125639, 17129, 109954, 9174, 109161, 102676, 104371, 46028, 15682, 112361, 109161, 102676, 30512, 105324, 102802, 121406, 105110, 81219, 5486, 25963, 27479, 30832, 23897, 104989, 32977, 112361, 102944, 30512, 38129, 54926, 105908, 125545, 9174, 20713, 18904, 16144, 118273, 29430, 77181, 20713, 118726, 30512, 114817, 83601, 248, 39926, 72315, 9174, 22656, 114754, 5486, 114817, 83601, 248, 118273, 29430, 117824, 76947, 72315, 9174, 109161, 102676, 29295, 102321, 33121, 101860, 118273, 29430, 30512, 71289, 109315, 126513, 5486, 118279, 30512, 107850, 81219, 39926, 109161, 102676, 16144, 56906, 86436, 55031, 106307, 107441, 72315, 9174, 109161, 102676, 19732, 106759, 106624, 72342, 101860, 5486, 107591, 107792, 30512, 32977, 100472, 118279, 16556, 123532, 110027, 38144, 72315, 9174, 40265, 72516, 77181, 102676, 103991, 102181, 11087, 295, 689, 30512, 121846, 20230, 34208, 117735, 121256, 29295, 5486, 23238, 104023, 114817, 83601, 248, 19732, 58426, 110674, 117735, 127145, 9174, 90620, 15024, 102676, 103991, 16556, 95604, 110229, 16144, 114817, 83601, 248, 107118, 5486, 33014, 32943, 20230, 76739, 124643, 104603, 11972, 30512, 114817, 83601, 248, 15024, 55228, 230, 30369, 102944, 16556, 5486, 109161, 102676, 30512, 33014, 48915, 20230, 105324, 102802, 121216, 124730, 118279, 54926, 126513, 11883, 102158, 103306, 15682, 3239, 4845, 104023, 83601, 248, 72718, 29295, 37656, 102800, 102944, 38641, 1811, 128001, 128000, 91482, 67075, 47260, 76171, 15682, 15120, 104091, 16144, 68408, 76428, 122258, 13177, 33035, 112756, 10646, 38641, 118844, 15682, 5486, 109713, 70563, 72369, 120770, 17905, 16556, 68408, 76428, 122258, 115707, 16556, 113404, 124001, 118551, 84389, 33541, 1811, 91482, 67075, 47260, 76171, 15682, 5486, 105572, 115191, 71289, 114734, 36651, 15568, 226, 16144, 120389, 71289, 108152, 118517, 120950, 16937, 109033, 33035, 112756, 77181, 124897, 1811, 91482, 67075, 47260, 76171, 15682, 5486, 118687, 9554, 109606, 30512, 50338, 13393, 230, 54926, 45736, 44971, 102832, 114615, 109713, 70563, 72369, 108337, 38248, 121, 112508, 111234, 39880, 30512, 107740, 39926, 102616, 16325, 124911, 104680, 71289, 114435, 113468, 19967, 13153, 103646, 109163, 18476, 33035, 112756, 16144, 105586, 25287, 109904, 126465, 38641, 9174, 16325, 22656, 266, 15682, 5486, 122282, 20230, 75146, 109669, 47884, 46456, 124237, 16995, 41007, 103306, 119869, 20230, 91482, 67075, 47260, 76171, 30512, 106839, 17701, 121256, 1811, 91482, 67075, 47260, 76171, 15682, 5486, 108044, 105156, 112535, 68759, 102750, 113649, 76428, 102750, 22398, 19732, 41758, 42634, 112164, 33710, 91482, 76428, 102750, 22398, 113245, 68759, 102750, 115247, 31540, 11883, 34171, 30512, 40452, 54926, 109432, 115191, 120950, 106045, 44416, 40265, 91077, 55031, 118326, 56051, 46456, 124237, 16995, 125845, 95001, 112603, 16144, 104721, 33208, 16144, 102494, 65575, 38641, 1811, 43240, 119064, 41007, 16556, 5486, 91482, 67075, 47260, 76171, 15682, 21980, 236, 102616, 109904, 108436, 37705, 46034, 38574, 38641, 1811, 108436, 37705, 15682, 5486, 109713, 70563, 72369, 120770, 30512, 75910, 39926, 51385, 95001, 26854, 18655, 73686, 42506, 35330, 16556, 109467, 23039, 123671, 33541, 1811, 91482, 67075, 47260, 76171, 15682, 85241, 241, 37507, 16144, 115191, 6704, 37648, 26, 104004, 15024, 85791, 108048, 15682, 101182, 109713, 70563, 72369, 108337, 124981, 123167, 55031, 103283, 16144, 124981, 123167, 20230, 127284, 78434, 9174, 567, 121238, 67075, 47260, 76171, 15682, 124108, 103087, 106518, 38641, 198, 40862, 82420, 17, 11, 1041, 32307, 91482, 67075, 47260, 76171, 116771, 38641, 1811, 45736, 44971, 102832, 114615, 70203, 103991, 29220, 76739, 37823, 16144, 42634, 48552, 30512, 50338, 21418, 112990, 5486, 121238, 67075, 47260, 76171, 16144, 68759, 25197, 78683, 94550, 1811, 90620, 15024, 5486, 91482, 67075, 47260, 76171, 15682, 127258, 33121, 126172, 102334, 62004, 5486, 39209, 109033, 39850, 71493, 78683, 78525, 91062, 16144, 125396, 16144, 115079, 21601, 15682, 43568, 48249, 38641, 1811, 13428, 20230, 37795, 96, 30177, 39926, 120955, 56051, 32335, 32977, 109834, 103868, 102987, 16995, 102404, 91774, 16144, 16, 59739, 15682, 5486, 118565, 48552, 116696, 107060, 125845, 17620, 107471, 25287, 55038, 13821, 111, 112113, 10110, 16931, 51, 7705, 38641, 1811, 423, 28504, 102052, 5486, 33122, 101275, 114435, 71289, 127177, 114435, 16144, 23187, 23538, 109904, 103130, 105564, 19732, 78943, 100845, 105, 111363, 117375, 114556, 39926, 121602, 47884, 125231, 125396, 115991, 33541, 9174, 567, 121238, 67075, 47260, 76171, 15682, 47043, 126194, 5486, 103350, 11883, 109904, 105107, 25446, 38641, 198, 91482, 67075, 47260, 76171, 15682, 112825, 110904, 26854, 13177, 8238, 757, 8269, 10646, 105107, 25446, 77181, 124897, 1811, 91482, 67075, 47260, 76171, 19732, 111090, 68408, 39880, 30512, 53283, 107462, 104984, 108048, 29295, 47043, 103195, 106592, 115552, 54926, 109335, 57903, 105823, 104127, 56051, 118844, 15682, 5486, 19991, 835, 33035, 112756, 19732, 35330, 103842, 255, 9554, 103963, 25359, 16144, 74482, 120321, 30046, 103195, 105908, 37271, 74482, 32977, 106307, 47884, 106592, 115552, 109768, 79721, 1811, 37823, 108981, 108176, 124122, 126053, 16995, 41007, 108176, 106592, 37689, 111629, 109768, 105823, 104127, 56051, 1811, 112599, 16144, 103087, 35330, 30512, 40452, 103792, 121568, 117758, 106613, 111587, 9554, 111764, 30512, 20379, 103792, 103378, 38641, 198, 91482, 67075, 47260, 76171, 120950, 101513, 38093, 15682, 108008, 20230, 123606, 116787, 108048, 33503, 15682, 103856, 23538, 118935, 11883, 30046, 20230, 27384, 35330, 30512, 46456, 124237, 30297, 80805, 32131, 124807, 91062, 16144, 104721, 33208, 38641, 1811, 124773, 123437, 67075, 71289, 114950, 16144, 112113, 16556, 77693, 104088, 38144, 50834, 79721, 29295, 5486, 119869, 15682, 33334, 35330, 124905, 100472, 114754, 108008, 20230, 119515, 32149, 115717, 79721, 119520, 78698, 107290, 64121, 38144, 72315, 1811, 124773, 123437, 67075, 5486, 109713, 70563, 72369, 120770, 5486, 120988, 115351, 117384, 104309, 36896, 37823, 108981, 16556, 118649, 95399, 26854, 105107, 25446, 30512, 46034, 109156, 104028, 66383, 15682, 117952, 33121, 100481, 107515, 9174, 91482, 67075, 47260, 76171, 29295, 103350, 11883, 109904, 105107, 25446, 103195, 102677, 30926, 103350, 29295, 121374, 30512, 110408, 15024, 109415, 100934, 103846, 106116, 108152, 61398, 126465, 126130, 35330, 103306, 16144, 108152, 61398, 126465, 55031, 107420, 80805, 103906, 103306, 103350, 104983, 20230, 17620, 104770, 54926, 109335, 103082, 107515, 109900, 15682, 17129, 30813, 20230, 89151, 103350, 38641, 115397, 34048, 124911, 104680, 29295, 77693, 30512, 105755, 16937, 35417, 50211, 117657, 39850, 71493, 78683, 78525, 91062, 103306, 116771, 114181, 105085, 54926, 107803, 108048, 15682, 103031, 120577, 66378, 112607, 116787, 5486, 37026, 102404, 9554, 125845, 66776, 37026, 102404, 9554, 116787, 119568, 33503, 15682, 103963, 61994, 103306, 108008, 20230, 109215, 26854, 117903, 89753, 91875, 34171, 30512, 58318, 105262, 103846, 5486, 91482, 67075, 47260, 76171, 16144, 48634, 20230, 116155, 78434, 9174, 24, 122481, 16144, 91482, 67075, 47260, 76171, 30512, 98499, 104004, 107803, 110849, 102181, 73958, 22656, 50, 116907, 113468, 102181, 32149, 103468, 108149, 112568, 15682, 91482, 67075, 47260, 76171, 29295, 104662, 39926, 103087, 106518, 71289, 95001, 112603, 16144, 71634, 39880, 126194, 5486, 35330, 110794, 108176, 124122, 110904, 116254, 26854, 41007, 111769, 105908, 78183, 107277, 33541, 119520, 5486, 9039, 113746, 55031, 9039, 8107, 30512, 106613, 38144, 5486, 91482, 67075, 47260, 76171, 15682, 60868, 20251, 57207, 116907, 29295, 103911, 23538, 109768, 104435, 32149, 121061, 103911, 101067, 48915, 16144, 101832, 100204, 33121, 30512, 122635, 121256, 1811, 110904, 15120, 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 ]
[ 248, 118273, 29430, 16144, 89753, 33121, 198, 14711, 10447, 252, 239, 101067, 198, 30591, 104699, 33503, 50667, 16144, 43568, 22649, 16144, 100604, 110783, 110095, 16556, 118146, 119962, 100204, 5486, 64209, 5486, 33014, 5486, 103892, 107809, 30512, 55031, 108005, 121, 20230, 78434, 9174, 118328, 47884, 23018, 19732, 126419, 20230, 32943, 110366, 16144, 102750, 102472, 103906, 52884, 29295, 48915, 102416, 20834, 100481, 50834, 33541, 1811, 109683, 16144, 105324, 107246, 16556, 5486, 103664, 78250, 17620, 108680, 9174, 14711, 115334, 32131, 65299, 103857, 94550, 198, 104921, 239, 101067, 117758, 89753, 33121, 16556, 5486, 110139, 110135, 55031, 27384, 30590, 102987, 47884, 124259, 102831, 30512, 17297, 85791, 15024, 112160, 22656, 16144, 76505, 108176, 25197, 126989, 30512, 78434, 9174, 103760, 109020, 27384, 30590, 55031, 102831, 30512, 108044, 76947, 89154, 76428, 103906, 52884, 26854, 107895, 29295, 33014, 107809, 102416, 17701, 76947, 50834, 33541, 9174, 89154, 76428, 103906, 52884, 26854, 107895, 15682, 111140, 16144, 30591, 28713, 112586, 43167, 103664, 84389, 33541, 9174, 14711, 106181, 117, 101129, 105324, 107246, 25333, 198, 110588, 101129, 10110, 102416, 27929, 55031, 64467, 25963, 22656, 17161, 17297, 7705, 30512, 37689, 109375, 56051, 105324, 107246, 25333, 9174, 34617, 59739, 9039, 107290, 118328, 47884, 52118, 25963, 59739, 82533, 109315, 52118, 34617, 59739, 16556, 107246, 30297, 52118, 25963, 59739, 82533, 109315, 1981, 16144, 37823, 78525, 91062, 16556, 110588, 101129, 30512, 37689, 109375, 21105, 103, 29295, 33503, 23039, 30297, 9174, 118694, 126036, 40526, 16556, 23018, 126198, 24273, 29295, 10110, 79785, 125334, 30369, 120264, 120332, 29295, 7705, 104712, 9174, 33014, 29295, 107969, 115737, 31431, 5486, 109972, 111600, 29295, 32149, 117295, 1811, 20251, 119930, 109156, 31431, 126172, 47884, 109020, 9174, 23897, 104989, 15682, 110588, 101129, 105324, 107246, 117824, 16995, 106272, 118273, 29430, 30512, 78434, 9174, 14711, 116201, 112, 95221, 198, 110588, 101129, 105324, 107246, 25333, 117824, 16995, 106272, 5486, 111140, 16144, 25580, 16556, 40862, 114666, 78434, 9174, 85701, 16556, 109683, 20230, 115541, 95221, 10110, 33014, 107809, 16556, 95221, 30512, 116348, 33503, 17663, 7705, 29295, 106084, 30369, 112973, 110219, 38641, 9174, 117032, 15682, 78659, 46034, 55031, 65917, 46034, 102416, 89753, 33121, 100481, 50834, 33541, 9174, 46034, 16144, 104328, 33503, 30512, 114715, 106627, 39926, 64121, 38144, 5486, 118937, 32149, 30813, 71289, 39135, 5486, 119049, 71289, 124623, 71289, 103858, 116, 95221, 120950, 102944, 30512, 25197, 126989, 78434, 9174, 14711, 108295, 100204, 109709, 16144, 118273, 29430, 10110, 112368, 35757, 16144, 106391, 113638, 23954, 114817, 83601, 248, 102676, 103991, 10110, 117745, 102676, 103991, 7705, 117824, 30297, 20230, 30591, 28713, 76947, 5486, 15682, 100204, 62004, 20230, 13177, 76208, 45951, 240, 78519, 31809, 118273, 29430, 16144, 104862, 101268, 118, 66383, 13177, 103070, 45951, 240, 78519, 31809, 118273, 29430, 16144, 104862, 101268, 118, 10646, 117824, 61689, 9174, 85701, 15682, 118273, 29430, 54926, 114834, 9458, 35894, 56965, 30512, 27699, 226, 33208, 15024, 5486, 101365, 110776, 26854, 75267, 103306, 23187, 62004, 59739, 59739, 36896, 51330, 118273, 29430, 15682, 66776, 9080, 40053, 103195, 66383, 104736, 109375, 124545, 113009, 109215, 26854, 102944, 38641, 9174, 58426, 74482, 5486, 103911, 104874, 114817, 83601, 248, 103306, 13177, 127618, 30512, 23043, 237, 16995, 15024, 64209, 26274, 241, 30512, 32977, 59739, 21990, 123606, 26854, 50834, 102944, 16144, 114817, 83601, 248, 10646, 117824, 61689, 118844, 16556, 112368, 35757, 30512, 104195, 107608, 26854, 102944, 20230, 78434, 9174, 14711, 118375, 103, 102676, 16144, 83601, 248, 72718, 198, 110382, 55031, 118273, 29430, 22656, 87217, 16144, 32938, 19967, 115717, 33541, 1811, 109161, 102676, 15682, 114817, 83601, 248, 102676, 103991, 10110, 25197, 126989, 16144, 102676, 103991, 7705, 115717, 33541, 9174, 110588, 101129, 105324, 107246, 25333, 19732, 115541, 95221, 117824, 16995, 106272, 71289, 31431, 33541, 9174, 68759, 76428, 115145, 90962, 106696, 30512, 64467, 107294, 76622, 5486, 109161, 102676, 104371, 46028, 20230, 59657, 245, 52927, 15024, 110776, 103283, 78434, 9174, 109161, 102676, 104371, 46028, 30512, 25580, 24273, 112649, 75694, 15024, 127359, 76428, 48552, 101198, 109554, 20230, 109161, 102676, 16144, 25197, 126989, 30512, 21105, 103, 29295, 33503, 5486, 33671, 16144, 83601, 248, 72718, 17161, 30512, 50520, 254, 110125, 78434, 9174, 14711, 118375, 103, 102676, 111363, 118279, 198, 113801, 106307, 50834, 109161, 102676, 104371, 46028, 30512, 25580, 24273, 112649, 75694, 39926, 110794, 33541, 9174, 58426, 74482, 109161, 102676, 102416, 105324, 102802, 126929, 33541, 9174, 109161, 102676, 29295, 46091, 64936, 83799, 107809, 109156, 30369, 106592, 120853, 102189, 31431, 5486, 109161, 26274, 255, 71289, 105522, 240, 79785, 16556, 116875, 108324, 54926, 126513, 108115, 16144, 122835, 30512, 16555, 122, 119775, 32149, 75694, 15024, 121551, 55031, 96356, 30512, 106154, 31431, 33541, 9174, 43568, 30926, 20230, 109161, 102676, 29295, 46091, 64936, 83799, 107809, 109156, 31431, 119436, 106624, 26854, 100472, 33503, 5486, 109161, 102676, 20230, 103070, 45951, 240, 78519, 104088, 72342, 5486, 115364, 124730, 30512, 108044, 58942, 33541, 9174, 124730, 15682, 76208, 99750, 124905, 76947, 118789, 112535, 25197, 126989, 78434, 9174, 78244, 124121, 20230, 56051, 24273, 29295, 103424, 117201, 109954, 9174, 120766, 48634, 29295, 106307, 47884, 48249, 31431, 109161, 102676, 110792, 103359, 87177, 30512, 106307, 76622, 33541, 9174, 14711, 118375, 103, 102676, 16144, 56906, 86436, 198, 124730, 30512, 37087, 38144, 108044, 58942, 103359, 87177, 30512, 105721, 107800, 33503, 5486, 109161, 102676, 30512, 24186, 16144, 102616, 102416, 56906, 86436, 107726, 33541, 9174, 33671, 16144, 56906, 86436, 17161, 30512, 98499, 64121, 109415, 33541, 9174, 46091, 64936, 83799, 107809, 20230, 102334, 109161, 102676, 16144, 25197, 126989, 30512, 46034, 54322, 78434, 9174, 14711, 106369, 78183, 111331, 118273, 29430, 198, 13177, 76208, 45951, 240, 78519, 31809, 118273, 29430, 16144, 104862, 101268, 118, 66383, 13177, 103070, 45951, 240, 78519, 31809, 118273, 29430, 16144, 104862, 101268, 118, 118587, 33334, 116547, 105352, 23039, 61689, 9174, 85701, 15682, 118273, 29430, 56051, 123470, 114834, 9458, 35894, 56965, 30512, 27699, 226, 33208, 15024, 36896, 85701, 105755, 9080, 40053, 20230, 114941, 30369, 66383, 104736, 109375, 124545, 105908, 113173, 38641, 9174, 567, 118375, 103, 102676, 114817, 83601, 248, 16144, 40452, 19732, 61633, 30926, 105904, 198, 118273, 29430, 29295, 105721, 78183, 100472, 109161, 102676, 104371, 46028, 15682, 5486, 91774, 119841, 110229, 20230, 106548, 107875, 30297, 112973, 104712, 123253, 9174, 116602, 106112, 16144, 105665, 5486, 102676, 21418, 76622, 16144, 126513, 66953, 115432, 16144, 32943, 89154, 113821, 50667, 69978, 103836, 30926, 30512, 112727, 33121, 120550, 110229, 102416, 125639, 17129, 109954, 9174, 109161, 102676, 104371, 46028, 15682, 112361, 109161, 102676, 30512, 105324, 102802, 121406, 105110, 81219, 5486, 25963, 27479, 30832, 23897, 104989, 32977, 112361, 102944, 30512, 38129, 54926, 105908, 125545, 9174, 20713, 18904, 16144, 118273, 29430, 77181, 20713, 118726, 30512, 114817, 83601, 248, 39926, 72315, 9174, 22656, 114754, 5486, 114817, 83601, 248, 118273, 29430, 117824, 76947, 72315, 9174, 109161, 102676, 29295, 102321, 33121, 101860, 118273, 29430, 30512, 71289, 109315, 126513, 5486, 118279, 30512, 107850, 81219, 39926, 109161, 102676, 16144, 56906, 86436, 55031, 106307, 107441, 72315, 9174, 109161, 102676, 19732, 106759, 106624, 72342, 101860, 5486, 107591, 107792, 30512, 32977, 100472, 118279, 16556, 123532, 110027, 38144, 72315, 9174, 40265, 72516, 77181, 102676, 103991, 102181, 11087, 295, 689, 30512, 121846, 20230, 34208, 117735, 121256, 29295, 5486, 23238, 104023, 114817, 83601, 248, 19732, 58426, 110674, 117735, 127145, 9174, 90620, 15024, 102676, 103991, 16556, 95604, 110229, 16144, 114817, 83601, 248, 107118, 5486, 33014, 32943, 20230, 76739, 124643, 104603, 11972, 30512, 114817, 83601, 248, 15024, 55228, 230, 30369, 102944, 16556, 5486, 109161, 102676, 30512, 33014, 48915, 20230, 105324, 102802, 121216, 124730, 118279, 54926, 126513, 11883, 102158, 103306, 15682, 3239, 4845, 104023, 83601, 248, 72718, 29295, 37656, 102800, 102944, 38641, 1811, 128001, 128000, 91482, 67075, 47260, 76171, 15682, 15120, 104091, 16144, 68408, 76428, 122258, 13177, 33035, 112756, 10646, 38641, 118844, 15682, 5486, 109713, 70563, 72369, 120770, 17905, 16556, 68408, 76428, 122258, 115707, 16556, 113404, 124001, 118551, 84389, 33541, 1811, 91482, 67075, 47260, 76171, 15682, 5486, 105572, 115191, 71289, 114734, 36651, 15568, 226, 16144, 120389, 71289, 108152, 118517, 120950, 16937, 109033, 33035, 112756, 77181, 124897, 1811, 91482, 67075, 47260, 76171, 15682, 5486, 118687, 9554, 109606, 30512, 50338, 13393, 230, 54926, 45736, 44971, 102832, 114615, 109713, 70563, 72369, 108337, 38248, 121, 112508, 111234, 39880, 30512, 107740, 39926, 102616, 16325, 124911, 104680, 71289, 114435, 113468, 19967, 13153, 103646, 109163, 18476, 33035, 112756, 16144, 105586, 25287, 109904, 126465, 38641, 9174, 16325, 22656, 266, 15682, 5486, 122282, 20230, 75146, 109669, 47884, 46456, 124237, 16995, 41007, 103306, 119869, 20230, 91482, 67075, 47260, 76171, 30512, 106839, 17701, 121256, 1811, 91482, 67075, 47260, 76171, 15682, 5486, 108044, 105156, 112535, 68759, 102750, 113649, 76428, 102750, 22398, 19732, 41758, 42634, 112164, 33710, 91482, 76428, 102750, 22398, 113245, 68759, 102750, 115247, 31540, 11883, 34171, 30512, 40452, 54926, 109432, 115191, 120950, 106045, 44416, 40265, 91077, 55031, 118326, 56051, 46456, 124237, 16995, 125845, 95001, 112603, 16144, 104721, 33208, 16144, 102494, 65575, 38641, 1811, 43240, 119064, 41007, 16556, 5486, 91482, 67075, 47260, 76171, 15682, 21980, 236, 102616, 109904, 108436, 37705, 46034, 38574, 38641, 1811, 108436, 37705, 15682, 5486, 109713, 70563, 72369, 120770, 30512, 75910, 39926, 51385, 95001, 26854, 18655, 73686, 42506, 35330, 16556, 109467, 23039, 123671, 33541, 1811, 91482, 67075, 47260, 76171, 15682, 85241, 241, 37507, 16144, 115191, 6704, 37648, 26, 104004, 15024, 85791, 108048, 15682, 101182, 109713, 70563, 72369, 108337, 124981, 123167, 55031, 103283, 16144, 124981, 123167, 20230, 127284, 78434, 9174, 567, 121238, 67075, 47260, 76171, 15682, 124108, 103087, 106518, 38641, 198, 40862, 82420, 17, 11, 1041, 32307, 91482, 67075, 47260, 76171, 116771, 38641, 1811, 45736, 44971, 102832, 114615, 70203, 103991, 29220, 76739, 37823, 16144, 42634, 48552, 30512, 50338, 21418, 112990, 5486, 121238, 67075, 47260, 76171, 16144, 68759, 25197, 78683, 94550, 1811, 90620, 15024, 5486, 91482, 67075, 47260, 76171, 15682, 127258, 33121, 126172, 102334, 62004, 5486, 39209, 109033, 39850, 71493, 78683, 78525, 91062, 16144, 125396, 16144, 115079, 21601, 15682, 43568, 48249, 38641, 1811, 13428, 20230, 37795, 96, 30177, 39926, 120955, 56051, 32335, 32977, 109834, 103868, 102987, 16995, 102404, 91774, 16144, 16, 59739, 15682, 5486, 118565, 48552, 116696, 107060, 125845, 17620, 107471, 25287, 55038, 13821, 111, 112113, 10110, 16931, 51, 7705, 38641, 1811, 423, 28504, 102052, 5486, 33122, 101275, 114435, 71289, 127177, 114435, 16144, 23187, 23538, 109904, 103130, 105564, 19732, 78943, 100845, 105, 111363, 117375, 114556, 39926, 121602, 47884, 125231, 125396, 115991, 33541, 9174, 567, 121238, 67075, 47260, 76171, 15682, 47043, 126194, 5486, 103350, 11883, 109904, 105107, 25446, 38641, 198, 91482, 67075, 47260, 76171, 15682, 112825, 110904, 26854, 13177, 8238, 757, 8269, 10646, 105107, 25446, 77181, 124897, 1811, 91482, 67075, 47260, 76171, 19732, 111090, 68408, 39880, 30512, 53283, 107462, 104984, 108048, 29295, 47043, 103195, 106592, 115552, 54926, 109335, 57903, 105823, 104127, 56051, 118844, 15682, 5486, 19991, 835, 33035, 112756, 19732, 35330, 103842, 255, 9554, 103963, 25359, 16144, 74482, 120321, 30046, 103195, 105908, 37271, 74482, 32977, 106307, 47884, 106592, 115552, 109768, 79721, 1811, 37823, 108981, 108176, 124122, 126053, 16995, 41007, 108176, 106592, 37689, 111629, 109768, 105823, 104127, 56051, 1811, 112599, 16144, 103087, 35330, 30512, 40452, 103792, 121568, 117758, 106613, 111587, 9554, 111764, 30512, 20379, 103792, 103378, 38641, 198, 91482, 67075, 47260, 76171, 120950, 101513, 38093, 15682, 108008, 20230, 123606, 116787, 108048, 33503, 15682, 103856, 23538, 118935, 11883, 30046, 20230, 27384, 35330, 30512, 46456, 124237, 30297, 80805, 32131, 124807, 91062, 16144, 104721, 33208, 38641, 1811, 124773, 123437, 67075, 71289, 114950, 16144, 112113, 16556, 77693, 104088, 38144, 50834, 79721, 29295, 5486, 119869, 15682, 33334, 35330, 124905, 100472, 114754, 108008, 20230, 119515, 32149, 115717, 79721, 119520, 78698, 107290, 64121, 38144, 72315, 1811, 124773, 123437, 67075, 5486, 109713, 70563, 72369, 120770, 5486, 120988, 115351, 117384, 104309, 36896, 37823, 108981, 16556, 118649, 95399, 26854, 105107, 25446, 30512, 46034, 109156, 104028, 66383, 15682, 117952, 33121, 100481, 107515, 9174, 91482, 67075, 47260, 76171, 29295, 103350, 11883, 109904, 105107, 25446, 103195, 102677, 30926, 103350, 29295, 121374, 30512, 110408, 15024, 109415, 100934, 103846, 106116, 108152, 61398, 126465, 126130, 35330, 103306, 16144, 108152, 61398, 126465, 55031, 107420, 80805, 103906, 103306, 103350, 104983, 20230, 17620, 104770, 54926, 109335, 103082, 107515, 109900, 15682, 17129, 30813, 20230, 89151, 103350, 38641, 115397, 34048, 124911, 104680, 29295, 77693, 30512, 105755, 16937, 35417, 50211, 117657, 39850, 71493, 78683, 78525, 91062, 103306, 116771, 114181, 105085, 54926, 107803, 108048, 15682, 103031, 120577, 66378, 112607, 116787, 5486, 37026, 102404, 9554, 125845, 66776, 37026, 102404, 9554, 116787, 119568, 33503, 15682, 103963, 61994, 103306, 108008, 20230, 109215, 26854, 117903, 89753, 91875, 34171, 30512, 58318, 105262, 103846, 5486, 91482, 67075, 47260, 76171, 16144, 48634, 20230, 116155, 78434, 9174, 24, 122481, 16144, 91482, 67075, 47260, 76171, 30512, 98499, 104004, 107803, 110849, 102181, 73958, 22656, 50, 116907, 113468, 102181, 32149, 103468, 108149, 112568, 15682, 91482, 67075, 47260, 76171, 29295, 104662, 39926, 103087, 106518, 71289, 95001, 112603, 16144, 71634, 39880, 126194, 5486, 35330, 110794, 108176, 124122, 110904, 116254, 26854, 41007, 111769, 105908, 78183, 107277, 33541, 119520, 5486, 9039, 113746, 55031, 9039, 8107, 30512, 106613, 38144, 5486, 91482, 67075, 47260, 76171, 15682, 60868, 20251, 57207, 116907, 29295, 103911, 23538, 109768, 104435, 32149, 121061, 103911, 101067, 48915, 16144, 101832, 100204, 33121, 30512, 122635, 121256, 1811, 110904, 15120, 16144 ]
[ 91482, 67075, 47260, 76171, 29295, 2636, 120389, 5486, 17, 11, 931, 120389, 5486, 20, 11, 931, 120389, 5486, 115143, 102052, 508, 11, 931, 120389, 20230, 104067, 112990, 112832, 29295, 78698, 107800, 123253, 32149, 11571, 108152, 117675, 37823, 103906, 16144, 51330, 121602, 47884, 125231, 107624, 95001, 15682, 122617, 30512, 104721, 58942, 79721, 1811, 17792, 104680, 15682, 77693, 33503, 30512, 107691, 16995, 36785, 15024, 27704, 62004, 33541, 1811, 91482, 67075, 47260, 76171, 15682, 111828, 30358, 16556, 108008, 20230, 102769, 103192, 103646, 103087, 106518, 115717, 79721, 124845, 115515, 74482, 9039, 8107, 16556, 122270, 44416, 48249, 107001, 123253, 198, 16325, 22656, 50, 116907, 29295, 102181, 102334, 24, 122481, 16144, 91482, 67075, 47260, 76171, 103927, 124958, 99695, 124603, 30512, 98499, 62004, 81219, 5486, 91482, 67075, 47260, 76171, 15682, 104662, 39926, 103087, 106518, 71289, 95001, 112603, 16144, 105623, 226, 108882, 126194, 5486, 35330, 110794, 108176, 124122, 110904, 116254, 26854, 41007, 111769, 105908, 78183, 117295, 123253, 119520, 5486, 9039, 113746, 55031, 9039, 8107, 30512, 106613, 38144, 5486, 91482, 67075, 47260, 76171, 15682, 60868, 20251, 57207, 116907, 29295, 103911, 23538, 109768, 104435, 32149, 121061, 103911, 101067, 48915, 16144, 101832, 100204, 33121, 30512, 122635, 121256, 1811, 110904, 15120, 16144, 91482, 67075, 47260, 76171, 29295, 2636, 120389, 5486, 17, 11, 931, 120389, 5486, 20, 11, 931, 120389, 5486, 115143, 102052, 508, 11, 931, 120389, 20230, 104067, 112990, 112832, 29295, 78698, 107800, 123253, 32149, 11571, 108152, 117675, 37823, 103906, 16144, 51330, 121602, 47884, 125231, 107624, 95001, 15682, 122617, 30512, 104721, 58942, 79721, 1811, 17792, 104680, 15682, 77693, 33503, 30512, 107691, 16995, 36785, 15024, 27704, 62004, 33541, 1811, 91482, 67075, 47260, 76171, 15682, 111828, 30358, 16556, 108008, 20230, 102769, 103192, 103646, 103087, 106518, 115717, 79721, 124845, 115515, 74482, 9039, 8107, 16556, 122270, 44416, 48249, 107001, 123253, 198, 567, 121238, 67075, 47260, 76171, 16144, 120987, 198, 33035, 112756, 16144, 91875, 50834, 29295, 16906, 111, 102800, 105212, 106045, 44416, 16144, 103359, 47523, 117282, 29504, 77181, 5486, 91482, 67075, 47260, 76171, 15682, 5486, 44416, 103664, 29295, 77693, 108680, 16906, 111, 106624, 100604, 102616, 16144, 29504, 104680, 107898, 35330, 30512, 108436, 37705, 54926, 123141, 30512, 104908, 78434, 1811, 122270, 5486, 91482, 67075, 47260, 76171, 16144, 20251, 93488, 103988, 122131, 15682, 13773, 123, 13372, 103195, 103846, 5486, 109163, 18476, 33035, 112756, 15682, 123296, 109161, 16556, 108010, 25333, 26854, 91875, 50834, 114556, 89046, 54926, 20251, 93488, 103988, 122131, 30512, 113801, 47000, 105784, 113009, 108618, 31431, 33541, 9174, 567, 127541, 105242, 198, 47043, 15682, 127177, 105107, 25446, 16144, 21990, 106518, 20230, 38129, 107001, 53229, 42506, 103195, 103846, 5486, 91482, 67075, 47260, 76171, 15682, 47043, 77181, 124897, 1811, 28713, 19732, 116285, 5486, 86, 20559, 284, 16385, 611, 28091, 1147, 5486, 66, 34402, 284, 18414, 1811, 91482, 67075, 47260, 76171, 15682, 47043, 117903, 102052, 104662, 39926, 120955, 103801, 72342, 25827, 29295, 5486, 91482, 67075, 47260, 76171, 15682, 103087, 106518, 33035, 112756, 38641, 118844, 15682, 48915, 29504, 101399, 109913, 33035, 112756, 126036, 19361, 105576, 38641, 1811, 90620, 15024, 5486, 48915, 29504, 101399, 109913, 33035, 112756, 16556, 30813, 58942, 5486, 60632, 105576, 16144, 101399, 109913, 44971, 84477, 30512, 21405, 17663, 43240, 119064, 103857, 108994, 11972, 115991, 33541, 9174, 103048, 113160, 30926, 105904, 5232, 51330, 108134, 15682, 5486, 109163, 18476, 33035, 112756, 16144, 105005, 104736, 103306, 50338, 13393, 230, 107001, 125231, 77181, 124897, 1811, 18655, 73686, 30512, 84851, 28194, 101, 54926, 102944, 77181, 124897, 1811, 109163, 18476, 117903, 102052, 121602, 50834, 19732, 103188, 21403, 108, 26854, 103087, 106518, 29295, 30591, 105104, 106824, 61689, 1811, 127091, 30512, 109198, 17701, 54926, 112772, 30591, 112568, 16144, 102473, 30512, 39926, 72315, 1811, 21388, 30297, 89783, 116664, 107407, 71689, 20230, 126330, 21105, 103, 117201, 72315, 1811, 76771, 223, 105459, 20230, 123532, 76947, 72315, 6405, 5486, 105026, 78349, 112900, 52884, 48552, 5486, 80050, 103906, 25005, 253, 67075, 5486, 80539, 86127, 105459, 20230, 110284, 54926, 110147, 78943, 83639, 17039, 16144, 118565, 48552, 116696, 107060, 124001, 109163, 18476, 33035, 112756, 16144, 118331, 61398, 16144, 109933, 100560, 235, 33710, 1811, 720, 68431, 113170, 112568, 15682, 33334, 27929, 124749, 77693, 32977, 120111, 123253, 198, 68431, 13428, 5513, 16144, 114950, 16144, 77219, 198, 68431, 7639, 6706, 12329, 5232, 91482, 67075, 47260, 76171, 15682, 37271, 111299, 3, 220, 868, 11, 931, 30512, 72404, 105262, 198, 49387, 17231, 7639, 6706, 3213, 15682, 122603, 27479, 20230, 118124, 122382, 103646, 109163, 18476, 33035, 112756, 16144, 21, 44559, 223, 16144, 121374, 30832, 105888, 30512, 116700, 127145, 109900, 121142, 103470, 119568, 15682, 125494, 127145, 1981, 128001, 128000, 102616, 102416, 863, 6254, 56, 863, 54926, 101778, 27384, 21990, 198, 21909, 17701, 48864, 39926, 92776, 105677, 48864, 127365, 16144, 113261, 116581, 104378, 30512, 18655, 103234, 54926, 104412, 102416, 198, 29741, 108469, 108002, 20648, 231, 120816, 10110, 111344, 102667, 23954, 30537, 2148, 18904, 125283, 77413, 108968, 17905, 29504, 117255, 67645, 32977, 105459, 20230, 5486, 103350, 124299, 30512, 33035, 56051, 48864, 102802, 16144, 101513, 38093, 30512, 58318, 105262, 36, 3672, 16144, 106081, 64121, 256, 111942, 68759, 44971, 38248, 115, 39880, 16144, 30926, 27452, 126362, 220, 58426, 16, 198, 68759, 44971, 38248, 115, 39880, 77181, 5486, 102040, 112164, 65575, 104378, 102667, 94923, 30512, 124305, 101275, 116216, 5486, 112599, 15682, 68759, 44971, 38248, 115, 39880, 16144, 105212, 39276, 104774, 102860, 16556, 104378, 57326, 77750, 32131, 91062, 16144, 103768, 112167, 20230, 120988, 78183, 103836, 45, 324, 15757, 450, 98369, 20230, 124773, 91482, 109496, 121256, 9174, 29741, 108469, 7705, 112599, 15682, 67645, 120950, 106592, 116216, 61689, 32149, 9174, 45, 324, 15757, 450, 98369, 7705, 68759, 44971, 38248, 115, 39880, 16556, 5486, 1899, 5604, 37, 19732, 102040, 112164, 65575, 104378, 102667, 94923, 16144, 119046, 57326, 77750, 32131, 91062, 103195, 36, 3672, 10953, 447, 488, 11, 18410, 323, 37263, 304, 198, 40234, 8, 19732, 127173, 104028, 104378, 57326, 77750, 32131, 91062, 16144, 103768, 112167, 20230, 120988, 78183, 76947, 61689, 118855, 127359, 44971, 38248, 115, 39880, 105212, 19732, 108975, 48634, 103792, 103826, 104680, 26854, 104378, 101513, 97518, 20230, 5486, 57326, 77750, 32131, 91062, 19967, 13153, 71289, 17792, 103234, 101662, 13153, 16144, 28190, 16556, 39880, 45923, 66953, 112900, 117824, 76947, 61689, 9174, 29741, 108469, 7705, 36, 3672, 107118, 5486, 118789, 112535, 67645, 120950, 104378, 57326, 77750, 32131, 91062, 112130, 9174, 45, 324, 15757, 450, 98369, 7705, 66378, 20230, 102404, 77413, 108968, 17905, 29504, 117255, 67645, 32977, 105459, 113115, 39926, 5486, 47, 9574, 67080, 20817, 198, 48567, 121782, 17663, 26854, 78183, 43514, 103350, 124299, 30512, 33035, 56051, 48864, 102802, 16144, 101513, 38093, 30512, 5486, 103721, 108, 31431, 104196, 15024, 9458, 121771, 98369, 58318, 105262, 100909, 113468, 5486, 118326, 64209, 71289, 111681, 104482, 50338, 104662, 48634, 123160, 106556, 30512, 101662, 108031, 103306, 61689, 1811, 45829, 67645, 32977, 29295, 103350, 124299, 54926, 13177, 107420, 109531, 110548, 7, 64780, 8, 10646, 113468, 5486, 37823, 117697, 38248, 115, 103830, 9458, 124180, 68759, 102750, 76428, 73590, 9458, 109606, 16144, 23187, 104577, 9458, 104398, 17620, 33208, 9458, 37823, 102741, 61398, 16144, 105184, 33563, 123160, 103826, 104680, 26854, 106556, 29295, 96356, 20230, 114308, 33541, 9174, 37271, 103296, 16144, 5486, 66378, 20230, 39880, 125581, 16144, 104378, 77181, 48864, 99397, 9554, 106556, 30512, 110137, 81219, 17663, 48154, 19732, 20230, 36668, 102701, 29295, 22324, 32149, 33121, 100481, 79721, 29295, 115515, 74482, 15682, 61826, 43032, 120950, 13177, 1691, 126241, 25287, 22398, 62903, 33710, 66383, 127173, 104028, 106556, 29295, 105755, 107693, 117084, 50834, 33541, 9174, 64780, 110382, 16556, 112844, 13177, 107420, 109531, 110548, 66383, 15682, 5486, 27452, 116285, 30537, 845, 18904, 16144, 77219, 16556, 20834, 38144, 105898, 105933, 13177, 27414, 12007, 30512, 21405, 102321, 54926, 124122, 121995, 30512, 110240, 47884, 66383, 16995, 100472, 107420, 109531, 110548, 38641, 118844, 30512, 33035, 39926, 5486, 27414, 12007, 109853, 48864, 102189, 31431, 5486, 98915, 104067, 19732, 37689, 91774, 30512, 39209, 109033, 56051, 31431, 102677, 106081, 23039, 126845, 125144, 107809, 16556, 21405, 102321, 41007, 30512, 118368, 102334, 111842, 5486, 103826, 104680, 26854, 106556, 30512, 110137, 81219, 17663, 105908, 125545, 9174, 29741, 108469, 7705, 57326, 77750, 32131, 91062, 16144, 104195, 64121, 30512, 100927, 107290, 72315, 9174, 45, 324, 198, 38299, 450, 98369, 7705, 123532, 37507, 16144, 104378, 46034, 25333, 15682, 5486, 113261, 24615, 248, 104674, 55031, 102667, 103296, 508, 8107, 56965, 100927, 102452, 107809, 16556, 64467, 106839, 117824, 100472, 17905, 16556, 5486, 45829, 67645, 32977, 105459, 30512, 106222, 20230, 37705, 31431, 121406, 102677, 83799, 29295, 36668, 89753, 16556, 56051, 119520, 5486, 1691, 126241, 25287, 22398, 62903, 33710, 30512, 110137, 81219, 17663, 17905, 77181, 5486, 105408, 111848, 64467, 106839, 19732, 5486, 106222, 113245, 103350, 124299, 109904, 48864, 102802, 30512, 103721, 108, 31431, 104196, 17663, 24273, 29295, 105755, 8239, 114503, 9554, 103195, 105908, 78183, 32149, 121118, 103846, 115408, 127282, 102131, 16995, 100472, 46034, 25333, 30512, 118935, 11883, 127145, 9174, 29741, 108469, 7705, 102131, 16995, 100472, 104378, 117824, 30297, 17905, 113245, 105408, 16144, 107734, 111017, 15682, 99849, 112130, 9174, 45, 324, 15757, 450, 98369, 7705, 105408, 15682, 90620, 100927, 70626, 30512, 100927, 105262, 48706, 77181, 124897, 1811, 107059, 117718, 37823, 117697, 11972, 115717, 5486, 45829, 67645, 32977, 105459, 30512, 100927, 102452, 16144, 48915, 20230, 89046, 33121, 20834, 39926, 5486, 48864, 102802, 16144, 101513, 38093, 30512, 104908, 54926, 105908, 32018, 62004, 102204, 33541, 1811, 17663, 26854, 78183, 43514, 5486, 37823, 117697, 38248, 115, 103830, 30512, 102404, 127327, 15024, 5486, 48864, 102802, 30512, 68408, 126590, 54926, 105908, 105408, 16144, 107734, 111017, 38641, 9174, 29741, 104645, 103, 8, 104405, 126693, 58426, 105933, 105408, 30512, 101662, 125655, 105908, 125545, 32149, 9174, 45, 324, 15757, 450, 98369, 7705, 105408, 108176, 123628, 44971, 29220, 109933, 11972, 121142, 103470, 5486, 105408, 110276, 123470, 106384, 65575, 66953, 48552, 29295, 19732, 111243, 27384, 102769, 38641, 1811, 102131, 39926, 103350, 104983, 20230, 45829, 67645, 32977, 105459, 30512, 64467, 106839, 109768, 47884, 16325, 16556, 5486, 105408, 116907, 32977, 13153, 101544, 109768, 50834, 33541, 9174, 80539, 106116, 104983, 20230, 27384, 102769, 26854, 104468, 5486, 105408, 42016, 101559, 16556, 100927, 58942, 40862, 30297, 100909, 38641, 1811, 106483, 117714, 64467, 106839, 41007, 109853, 64467, 112419, 15024, 40862, 30297, 118733, 5486, 112294, 28542, 30512, 111983, 16995, 40862, 108064, 59739, 5486, 106483, 117714, 126521, 28542, 30512, 107246, 110226, 54926, 105908, 125545, 9174, 53900, 5486, 108010, 30297, 104575, 42016, 101559, 72661, 100927, 58942, 40862, 30297, 19732, 5486, 106483, 117714, 103984, 102212, 29295, 108285, 29295, 76947, 105755, 126521, 64467, 106839, 29295, 108608, 101200, 115717, 33541, 1811, 37087, 47884, 91763, 108064, 32149, 104435, 64467, 106839, 41007, 29295, 96356, 20230, 47000, 47884, 115789, 57903, 33541, 9174, 29741, 108469, 7705, 1691, 126241, 25287, 22398, 62903, 114615, 13153, 101544, 15682, 67645, 119775, 108867, 31431, 33541, 32149, 9174, 45, 324, 15757, 450, 98369, 7705, 122582, 19732, 111243, 111108, 102800, 99397, 16995, 38641, 1811, 102971, 105242, 103306, 15682, 5486, 112185, 112832, 32977, 108867, 31431, 24273, 104088, 16995, 36785, 72342, 100481, 107515, 1811, 83747, 103470, 107173, 5486, 48864, 108710, 16144, 104067, 13153, 27479, 30512, 99695, 113390, 111073, 71634, 16556, 108867, 30369, 104466, 5486, 57207, 106826, 68759, 78459, 48552, 102052, 103082, 107515, 1811, 37823, 117697, 38248, 115, 103830, 71289, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 30512, 23187, 33857, 112535, 108867, 30369, 109335, 106116, 106556, 16144, 34171, 105284, 17905, 19732, 111243, 110482, 111108, 38641, 55031, 9174, 80673, 115132, 107420, 113335, 119703, 113334, 77181, 124897, 1811, 27452, 116285, 5486, 37823, 117697, 38248, 115, 103830, 30512, 102404, 127327, 103792, 17792, 19732, 102131, 16556, 100604, 17792, 30512, 125261, 39926, 5486, 103826, 104680, 26854, 114181, 28542, 16556, 105156, 82420, 30512, 18655, 30369, 102677, 104468, 15120, 118821, 46034, 38574, 77181, 57903, 33541, 1811, 112599, 32977, 102473, 29295, 103130, 126559, 17620, 102212, 38641, 9174, 71689, 16556, 25580, 103268, 16144, 124773, 91482, 109496, 15682, 105721, 116547, 38641, 9174, 77693, 30512, 119870, 17129, 107290, 5486, 66378, 20230, 26130, 30832, 17663, 125231, 28542, 30512, 17, 28542, 123680, 102639, 33541, 9174, 7, 16, 8, 47, 9574, 16144, 95543, 109095, 198, 45, 324, 15757, 450, 98369, 107898, 104655, 50834, 56051, 33334, 87177, 107809, 16556, 32335, 32977, 110456, 106266, 9554, 103351, 104468, 36896, 47, 9574, 30512, 103721, 108, 31431, 104196, 15024, 23039, 30297, 66383, 95604, 126067, 16556, 56051, 9174, 102433, 77181, 118899, 13177, 39880, 29220, 103906, 110101, 118928, 94550, 66383, 95604, 120613, 16556, 5486, 103350, 124299, 109904, 112415, 107809, 16556, 53283, 109375, 30512, 50928, 100481, 47884, 104378, 46034, 25333, 29295, 26130, 30832, 84389, 27704, 107436, 61689, 109900, 30512, 110904, 102404, 126194, 5486, 103721, 108, 31431, 104196, 15024, 23039, 16995, 106272, 5486, 121410, 18904, 106384, 65575, 66953, 48552, 117824, 30297, 118733, 5486, 105755, 27384, 112495, 13153, 101544, 30512, 113096, 102131, 103306, 107991, 117840, 118855, 5486, 110137, 81219, 17663, 106556, 109853, 32977, 13177, 1691, 126241, 25287, 22398, 62903, 33710, 10646, 20230, 26130, 30832, 39926, 102532, 5486, 17792, 103234, 101662, 13153, 113115, 54926, 105755, 61826, 103130, 109904, 37689, 109375, 30512, 112391, 102204, 79721, 9174, 7, 17, 8, 105408, 42016, 101559, 16144, 100927, 58942, 40862, 16995, 198, 45, 324, 117940, 5486, 105408, 42016 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 91482, 67075, 47260, 76171, 29295, 2636, 120389, 5486, 17, 11, 931, 120389, 5486, 20, 11, 931, 120389, 5486, 115143, 102052, 508, 11, 931, 120389, 20230, 104067, 112990, 112832, 29295, 78698, 107800, 123253, 32149, 11571, 108152, 117675, 37823, 103906, 16144, 51330, 121602, 47884, 125231, 107624, 95001, 15682, 122617, 30512, 104721, 58942, 79721, 1811, 17792, 104680, 15682, 77693, 33503, 30512, 107691, 16995, 36785, 15024, 27704, 62004, 33541, 1811, 91482, 67075, 47260, 76171, 15682, 111828, 30358, 16556, 108008, 20230, 102769, 103192, 103646, 103087, 106518, 115717, 79721, 124845, 115515, 74482, 9039, 8107, 16556, 122270, 44416, 48249, 107001, 123253, 198, 16325, 22656, 50, 116907, 29295, 102181, 102334, 24, 122481, 16144, 91482, 67075, 47260, 76171, 103927, 124958, 99695, 124603, 30512, 98499, 62004, 81219, 5486, 91482, 67075, 47260, 76171, 15682, 104662, 39926, 103087, 106518, 71289, 95001, 112603, 16144, 105623, 226, 108882, 126194, 5486, 35330, 110794, 108176, 124122, 110904, 116254, 26854, 41007, 111769, 105908, 78183, 117295, 123253, 119520, 5486, 9039, 113746, 55031, 9039, 8107, 30512, 106613, 38144, 5486, 91482, 67075, 47260, 76171, 15682, 60868, 20251, 57207, 116907, 29295, 103911, 23538, 109768, 104435, 32149, 121061, 103911, 101067, 48915, 16144, 101832, 100204, 33121, 30512, 122635, 121256, 1811, 110904, 15120, 16144, 91482, 67075, 47260, 76171, 29295, 2636, 120389, 5486, 17, 11, 931, 120389, 5486, 20, 11, 931, 120389, 5486, 115143, 102052, 508, 11, 931, 120389, 20230, 104067, 112990, 112832, 29295, 78698, 107800, 123253, 32149, 11571, 108152, 117675, 37823, 103906, 16144, 51330, 121602, 47884, 125231, 107624, 95001, 15682, 122617, 30512, 104721, 58942, 79721, 1811, 17792, 104680, 15682, 77693, 33503, 30512, 107691, 16995, 36785, 15024, 27704, 62004, 33541, 1811, 91482, 67075, 47260, 76171, 15682, 111828, 30358, 16556, 108008, 20230, 102769, 103192, 103646, 103087, 106518, 115717, 79721, 124845, 115515, 74482, 9039, 8107, 16556, 122270, 44416, 48249, 107001, 123253, 198, 567, 121238, 67075, 47260, 76171, 16144, 120987, 198, 33035, 112756, 16144, 91875, 50834, 29295, 16906, 111, 102800, 105212, 106045, 44416, 16144, 103359, 47523, 117282, 29504, 77181, 5486, 91482, 67075, 47260, 76171, 15682, 5486, 44416, 103664, 29295, 77693, 108680, 16906, 111, 106624, 100604, 102616, 16144, 29504, 104680, 107898, 35330, 30512, 108436, 37705, 54926, 123141, 30512, 104908, 78434, 1811, 122270, 5486, 91482, 67075, 47260, 76171, 16144, 20251, 93488, 103988, 122131, 15682, 13773, 123, 13372, 103195, 103846, 5486, 109163, 18476, 33035, 112756, 15682, 123296, 109161, 16556, 108010, 25333, 26854, 91875, 50834, 114556, 89046, 54926, 20251, 93488, 103988, 122131, 30512, 113801, 47000, 105784, 113009, 108618, 31431, 33541, 9174, 567, 127541, 105242, 198, 47043, 15682, 127177, 105107, 25446, 16144, 21990, 106518, 20230, 38129, 107001, 53229, 42506, 103195, 103846, 5486, 91482, 67075, 47260, 76171, 15682, 47043, 77181, 124897, 1811, 28713, 19732, 116285, 5486, 86, 20559, 284, 16385, 611, 28091, 1147, 5486, 66, 34402, 284, 18414, 1811, 91482, 67075, 47260, 76171, 15682, 47043, 117903, 102052, 104662, 39926, 120955, 103801, 72342, 25827, 29295, 5486, 91482, 67075, 47260, 76171, 15682, 103087, 106518, 33035, 112756, 38641, 118844, 15682, 48915, 29504, 101399, 109913, 33035, 112756, 126036, 19361, 105576, 38641, 1811, 90620, 15024, 5486, 48915, 29504, 101399, 109913, 33035, 112756, 16556, 30813, 58942, 5486, 60632, 105576, 16144, 101399, 109913, 44971, 84477, 30512, 21405, 17663, 43240, 119064, 103857, 108994, 11972, 115991, 33541, 9174, 103048, 113160, 30926, 105904, 5232, 51330, 108134, 15682, 5486, 109163, 18476, 33035, 112756, 16144, 105005, 104736, 103306, 50338, 13393, 230, 107001, 125231, 77181, 124897, 1811, 18655, 73686, 30512, 84851, 28194, 101, 54926, 102944, 77181, 124897, 1811, 109163, 18476, 117903, 102052, 121602, 50834, 19732, 103188, 21403, 108, 26854, 103087, 106518, 29295, 30591, 105104, 106824, 61689, 1811, 127091, 30512, 109198, 17701, 54926, 112772, 30591, 112568, 16144, 102473, 30512, 39926, 72315, 1811, 21388, 30297, 89783, 116664, 107407, 71689, 20230, 126330, 21105, 103, 117201, 72315, 1811, 76771, 223, 105459, 20230, 123532, 76947, 72315, 6405, 5486, 105026, 78349, 112900, 52884, 48552, 5486, 80050, 103906, 25005, 253, 67075, 5486, 80539, 86127, 105459, 20230, 110284, 54926, 110147, 78943, 83639, 17039, 16144, 118565, 48552, 116696, 107060, 124001, 109163, 18476, 33035, 112756, 16144, 118331, 61398, 16144, 109933, 100560, 235, 33710, 1811, 720, 68431, 113170, 112568, 15682, 33334, 27929, 124749, 77693, 32977, 120111, 123253, 198, 68431, 13428, 5513, 16144, 114950, 16144, 77219, 198, 68431, 7639, 6706, 12329, 5232, 91482, 67075, 47260, 76171, 15682, 37271, 111299, 3, 220, 868, 11, 931, 30512, 72404, 105262, 198, 49387, 17231, 7639, 6706, 3213, 15682, 122603, 27479, 20230, 118124, 122382, 103646, 109163, 18476, 33035, 112756, 16144, 21, 44559, 223, 16144, 121374, 30832, 105888, 30512, 116700, 127145, 109900, 121142, 103470, 119568, 15682, 125494, 127145, 1981, 128001, 128000, 102616, 102416, 863, 6254, 56, 863, 54926, 101778, 27384, 21990, 198, 21909, 17701, 48864, 39926, 92776, 105677, 48864, 127365, 16144, 113261, 116581, 104378, 30512, 18655, 103234, 54926, 104412, 102416, 198, 29741, 108469, 108002, 20648, 231, 120816, 10110, 111344, 102667, 23954, 30537, 2148, 18904, 125283, 77413, 108968, 17905, 29504, 117255, 67645, 32977, 105459, 20230, 5486, 103350, 124299, 30512, 33035, 56051, 48864, 102802, 16144, 101513, 38093, 30512, 58318, 105262, 36, 3672, 16144, 106081, 64121, 256, 111942, 68759, 44971, 38248, 115, 39880, 16144, 30926, 27452, 126362, 220, 58426, 16, 198, 68759, 44971, 38248, 115, 39880, 77181, 5486, 102040, 112164, 65575, 104378, 102667, 94923, 30512, 124305, 101275, 116216, 5486, 112599, 15682, 68759, 44971, 38248, 115, 39880, 16144, 105212, 39276, 104774, 102860, 16556, 104378, 57326, 77750, 32131, 91062, 16144, 103768, 112167, 20230, 120988, 78183, 103836, 45, 324, 15757, 450, 98369, 20230, 124773, 91482, 109496, 121256, 9174, 29741, 108469, 7705, 112599, 15682, 67645, 120950, 106592, 116216, 61689, 32149, 9174, 45, 324, 15757, 450, 98369, 7705, 68759, 44971, 38248, 115, 39880, 16556, 5486, 1899, 5604, 37, 19732, 102040, 112164, 65575, 104378, 102667, 94923, 16144, 119046, 57326, 77750, 32131, 91062, 103195, 36, 3672, 10953, 447, 488, 11, 18410, 323, 37263, 304, 198, 40234, 8, 19732, 127173, 104028, 104378, 57326, 77750, 32131, 91062, 16144, 103768, 112167, 20230, 120988, 78183, 76947, 61689, 118855, 127359, 44971, 38248, 115, 39880, 105212, 19732, 108975, 48634, 103792, 103826, 104680, 26854, 104378, 101513, 97518, 20230, 5486, 57326, 77750, 32131, 91062, 19967, 13153, 71289, 17792, 103234, 101662, 13153, 16144, 28190, 16556, 39880, 45923, 66953, 112900, 117824, 76947, 61689, 9174, 29741, 108469, 7705, 36, 3672, 107118, 5486, 118789, 112535, 67645, 120950, 104378, 57326, 77750, 32131, 91062, 112130, 9174, 45, 324, 15757, 450, 98369, 7705, 66378, 20230, 102404, 77413, 108968, 17905, 29504, 117255, 67645, 32977, 105459, 113115, 39926, 5486, 47, 9574, 67080, 20817, 198, 48567, 121782, 17663, 26854, 78183, 43514, 103350, 124299, 30512, 33035, 56051, 48864, 102802, 16144, 101513, 38093, 30512, 5486, 103721, 108, 31431, 104196, 15024, 9458, 121771, 98369, 58318, 105262, 100909, 113468, 5486, 118326, 64209, 71289, 111681, 104482, 50338, 104662, 48634, 123160, 106556, 30512, 101662, 108031, 103306, 61689, 1811, 45829, 67645, 32977, 29295, 103350, 124299, 54926, 13177, 107420, 109531, 110548, 7, 64780, 8, 10646, 113468, 5486, 37823, 117697, 38248, 115, 103830, 9458, 124180, 68759, 102750, 76428, 73590, 9458, 109606, 16144, 23187, 104577, 9458, 104398, 17620, 33208, 9458, 37823, 102741, 61398, 16144, 105184, 33563, 123160, 103826, 104680, 26854, 106556, 29295, 96356, 20230, 114308, 33541, 9174, 37271, 103296, 16144, 5486, 66378, 20230, 39880, 125581, 16144, 104378, 77181, 48864, 99397, 9554, 106556, 30512, 110137, 81219, 17663, 48154, 19732, 20230, 36668, 102701, 29295, 22324, 32149, 33121, 100481, 79721, 29295, 115515, 74482, 15682, 61826, 43032, 120950, 13177, 1691, 126241, 25287, 22398, 62903, 33710, 66383, 127173, 104028, 106556, 29295, 105755, 107693, 117084, 50834, 33541, 9174, 64780, 110382, 16556, 112844, 13177, 107420, 109531, 110548, 66383, 15682, 5486, 27452, 116285, 30537, 845, 18904, 16144, 77219, 16556, 20834, 38144, 105898, 105933, 13177, 27414, 12007, 30512, 21405, 102321, 54926, 124122, 121995, 30512, 110240, 47884, 66383, 16995, 100472, 107420, 109531, 110548, 38641, 118844, 30512, 33035, 39926, 5486, 27414, 12007, 109853, 48864, 102189, 31431, 5486, 98915, 104067, 19732, 37689, 91774, 30512, 39209, 109033, 56051, 31431, 102677, 106081, 23039, 126845, 125144, 107809, 16556, 21405, 102321, 41007, 30512, 118368, 102334, 111842, 5486, 103826, 104680, 26854, 106556, 30512, 110137, 81219, 17663, 105908, 125545, 9174, 29741, 108469, 7705, 57326, 77750, 32131, 91062, 16144, 104195, 64121, 30512, 100927, 107290, 72315, 9174, 45, 324, 198, 38299, 450, 98369, 7705, 123532, 37507, 16144, 104378, 46034, 25333, 15682, 5486, 113261, 24615, 248, 104674, 55031, 102667, 103296, 508, 8107, 56965, 100927, 102452, 107809, 16556, 64467, 106839, 117824, 100472, 17905, 16556, 5486, 45829, 67645, 32977, 105459, 30512, 106222, 20230, 37705, 31431, 121406, 102677, 83799, 29295, 36668, 89753, 16556, 56051, 119520, 5486, 1691, 126241, 25287, 22398, 62903, 33710, 30512, 110137, 81219, 17663, 17905, 77181, 5486, 105408, 111848, 64467, 106839, 19732, 5486, 106222, 113245, 103350, 124299, 109904, 48864, 102802, 30512, 103721, 108, 31431, 104196, 17663, 24273, 29295, 105755, 8239, 114503, 9554, 103195, 105908, 78183, 32149, 121118, 103846, 115408, 127282, 102131, 16995, 100472, 46034, 25333, 30512, 118935, 11883, 127145, 9174, 29741, 108469, 7705, 102131, 16995, 100472, 104378, 117824, 30297, 17905, 113245, 105408, 16144, 107734, 111017, 15682, 99849, 112130, 9174, 45, 324, 15757, 450, 98369, 7705, 105408, 15682, 90620, 100927, 70626, 30512, 100927, 105262, 48706, 77181, 124897, 1811, 107059, 117718, 37823, 117697, 11972, 115717, 5486, 45829, 67645, 32977, 105459, 30512, 100927, 102452, 16144, 48915, 20230, 89046, 33121, 20834, 39926, 5486, 48864, 102802, 16144, 101513, 38093, 30512, 104908, 54926, 105908, 32018, 62004, 102204, 33541, 1811, 17663, 26854, 78183, 43514, 5486, 37823, 117697, 38248, 115, 103830, 30512, 102404, 127327, 15024, 5486, 48864, 102802, 30512, 68408, 126590, 54926, 105908, 105408, 16144, 107734, 111017, 38641, 9174, 29741, 104645, 103, 8, 104405, 126693, 58426, 105933, 105408, 30512, 101662, 125655, 105908, 125545, 32149, 9174, 45, 324, 15757, 450, 98369, 7705, 105408, 108176, 123628, 44971, 29220, 109933, 11972, 121142, 103470, 5486, 105408, 110276, 123470, 106384, 65575, 66953, 48552, 29295, 19732, 111243, 27384, 102769, 38641, 1811, 102131, 39926, 103350, 104983, 20230, 45829, 67645, 32977, 105459, 30512, 64467, 106839, 109768, 47884, 16325, 16556, 5486, 105408, 116907, 32977, 13153, 101544, 109768, 50834, 33541, 9174, 80539, 106116, 104983, 20230, 27384, 102769, 26854, 104468, 5486, 105408, 42016, 101559, 16556, 100927, 58942, 40862, 30297, 100909, 38641, 1811, 106483, 117714, 64467, 106839, 41007, 109853, 64467, 112419, 15024, 40862, 30297, 118733, 5486, 112294, 28542, 30512, 111983, 16995, 40862, 108064, 59739, 5486, 106483, 117714, 126521, 28542, 30512, 107246, 110226, 54926, 105908, 125545, 9174, 53900, 5486, 108010, 30297, 104575, 42016, 101559, 72661, 100927, 58942, 40862, 30297, 19732, 5486, 106483, 117714, 103984, 102212, 29295, 108285, 29295, 76947, 105755, 126521, 64467, 106839, 29295, 108608, 101200, 115717, 33541, 1811, 37087, 47884, 91763, 108064, 32149, 104435, 64467, 106839, 41007, 29295, 96356, 20230, 47000, 47884, 115789, 57903, 33541, 9174, 29741, 108469, 7705, 1691, 126241, 25287, 22398, 62903, 114615, 13153, 101544, 15682, 67645, 119775, 108867, 31431, 33541, 32149, 9174, 45, 324, 15757, 450, 98369, 7705, 122582, 19732, 111243, 111108, 102800, 99397, 16995, 38641, 1811, 102971, 105242, 103306, 15682, 5486, 112185, 112832, 32977, 108867, 31431, 24273, 104088, 16995, 36785, 72342, 100481, 107515, 1811, 83747, 103470, 107173, 5486, 48864, 108710, 16144, 104067, 13153, 27479, 30512, 99695, 113390, 111073, 71634, 16556, 108867, 30369, 104466, 5486, 57207, 106826, 68759, 78459, 48552, 102052, 103082, 107515, 1811, 37823, 117697, 38248, 115, 103830, 71289, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 106556, 30512, 23187, 33857, 112535, 108867, 30369, 109335, 106116, 106556, 16144, 34171, 105284, 17905, 19732, 111243, 110482, 111108, 38641, 55031, 9174, 80673, 115132, 107420, 113335, 119703, 113334, 77181, 124897, 1811, 27452, 116285, 5486, 37823, 117697, 38248, 115, 103830, 30512, 102404, 127327, 103792, 17792, 19732, 102131, 16556, 100604, 17792, 30512, 125261, 39926, 5486, 103826, 104680, 26854, 114181, 28542, 16556, 105156, 82420, 30512, 18655, 30369, 102677, 104468, 15120, 118821, 46034, 38574, 77181, 57903, 33541, 1811, 112599, 32977, 102473, 29295, 103130, 126559, 17620, 102212, 38641, 9174, 71689, 16556, 25580, 103268, 16144, 124773, 91482, 109496, 15682, 105721, 116547, 38641, 9174, 77693, 30512, 119870, 17129, 107290, 5486, 66378, 20230, 26130, 30832, 17663, 125231, 28542, 30512, 17, 28542, 123680, 102639, 33541, 9174, 7, 16, 8, 47, 9574, 16144, 95543, 109095, 198, 45, 324, 15757, 450, 98369, 107898, 104655, 50834, 56051, 33334, 87177, 107809, 16556, 32335, 32977, 110456, 106266, 9554, 103351, 104468, 36896, 47, 9574, 30512, 103721, 108, 31431, 104196, 15024, 23039, 30297, 66383, 95604, 126067, 16556, 56051, 9174, 102433, 77181, 118899, 13177, 39880, 29220, 103906, 110101, 118928, 94550, 66383, 95604, 120613, 16556, 5486, 103350, 124299, 109904, 112415, 107809, 16556, 53283, 109375, 30512, 50928, 100481, 47884, 104378, 46034, 25333, 29295, 26130, 30832, 84389, 27704, 107436, 61689, 109900, 30512, 110904, 102404, 126194, 5486, 103721, 108, 31431, 104196, 15024, 23039, 16995, 106272, 5486, 121410, 18904, 106384, 65575, 66953, 48552, 117824, 30297, 118733, 5486, 105755, 27384, 112495, 13153, 101544, 30512, 113096, 102131, 103306, 107991, 117840, 118855, 5486, 110137, 81219, 17663, 106556, 109853, 32977, 13177, 1691, 126241, 25287, 22398, 62903, 33710, 10646, 20230, 26130, 30832, 39926, 102532, 5486, 17792, 103234, 101662, 13153, 113115, 54926, 105755, 61826, 103130, 109904, 37689, 109375, 30512, 112391, 102204, 79721, 9174, 7, 17, 8, 105408, 42016, 101559, 16144, 100927, 58942, 40862, 16995, 198, 45, 324, 117940, 5486, 105408, 42016 ]
[ 101559, 16144, 100927, 58942, 40862, 117714, 109215, 34171, 30512, 104195, 47884, 36668, 105714, 109768, 79721, 9174, 66378, 20230, 5486, 110904, 20230, 100927, 70626, 103378, 30512, 100927, 105262, 16144, 126194, 43240, 103826, 26854, 106556, 30512, 110137, 81219, 17663, 106592, 113727, 104533, 5486, 105408, 116907, 29295, 37823, 117697, 38248, 115, 103830, 71289, 109606, 50338, 104662, 48634, 104309, 5486, 106613, 111186, 30512, 33035, 39926, 48864, 81219, 123207, 16995, 124324, 106556, 30512, 96356, 20230, 47000, 105784, 109215, 115991, 33541, 119520, 5486, 100927, 102452, 107809, 16556, 115364, 30832, 29295, 109948, 16995, 100481, 104435, 105494, 104309, 5486, 102099, 95543, 66870, 103378, 77181, 95221, 109669, 47884, 105908, 111108, 102800, 105494, 32977, 57903, 33541, 109807, 103846, 5486, 106613, 111186, 55031, 50928, 110071, 13153, 101544, 30512, 112366, 33208, 54926, 103846, 102052, 5486, 109790, 30046, 117758, 106384, 65575, 66953, 48552, 15682, 109947, 124490, 103195, 19732, 112391, 79721, 9174, 33671, 18904, 15682, 115515, 18904, 16144, 44915, 30512, 119870, 17129, 58942, 5486, 113261, 116581, 104378, 20230, 109215, 26854, 100909, 71289, 104378, 57326, 77750, 32131, 91062, 16144, 19967, 13153, 109853, 17885, 118, 61689, 9174, 59739, 109669, 47884, 198, 30537, 843, 18904, 112498, 67645, 32977, 30512, 55999, 20230, 101662, 125655, 124180, 103306, 5486, 104575, 19732, 106759, 29295, 108975, 48634, 54926, 100909, 16144, 115552, 111942, 68759, 44971, 38248, 115, 39880, 16144, 30926, 27452, 126362, 220, 58426, 17, 198, 64780, 111344, 102667, 85707, 8107, 33671, 101544, 23538, 37026, 36668, 112415, 57326, 77750, 32131, 91062, 10110, 6254, 56, 6826, 28966, 25580, 18904, 16144, 77219, 30512, 98499, 104004, 198, 30537, 966, 18904, 101961, 17792, 104412, 113245, 105509, 40452, 21909, 32307, 37087, 16144, 61633, 30512, 21105, 97, 59739, 5486, 64209, 104328, 32149, 103468, 102944, 30512, 21105, 96, 107277, 19732, 103868, 78183, 33334, 30297, 198, 30537, 1682, 18904, 104626, 109, 20230, 104655, 47884, 103378, 77181, 78183, 124403, 36896, 101778, 59563, 39880, 125581, 16144, 104622, 50667, 21990, 117503, 104773, 16144, 103350, 107328, 304, 57207, 125057, 89154, 64178, 198, 30537, 1591, 18904, 45631, 110219, 16144, 127579, 117503, 104346, 86354, 19732, 39880, 125581, 16144, 106581, 29295, 107960, 19000, 54926, 104773, 304, 68759, 44971, 38248, 115, 39880, 198, 30537, 1627, 18904, 117303, 23530, 16144, 76739, 124643, 104603, 11972, 29295, 121819, 105987, 9554, 1811, 104195, 111101, 20230, 123307, 50834, 47000, 47884, 66953, 16073, 47260, 29220, 16144, 13773, 224, 16995, 198, 30537, 914, 18904, 112386, 73361, 16144, 106718, 16144, 102099, 102404, 22023, 48634, 19732, 123120, 48634, 16144, 53229, 28542, 30512, 113261, 116581, 104378, 126365, 28713, 198, 21909, 109606, 50338, 104662, 71289, 104760, 105242, 20230, 109215, 26854, 48634, 15682, 9080, 40053, 104654, 107809, 16556, 100990, 123, 28741, 20230, 101662, 123606, 100481, 47884, 198, 30537, 1187, 18904, 45631, 106222, 107809, 16144, 105994, 118587, 37689, 109375, 108608, 106592, 30358, 103984, 21909, 45923, 123082, 16144, 113261, 24615, 248, 104674, 10854, 48672, 70352, 21486, 388, 29229, 198, 30537, 1313, 18904, 109949, 124766, 100927, 125525, 112366, 16144, 115553, 111331, 107253, 104874, 21909, 107167, 124131, 124131, 38248, 109, 67075, 120650, 76947, 64121, 79721, 258, 45923, 123082, 198, 30537, 1691, 18904, 18630, 101, 240, 104699, 115789, 105677, 104004, 115789, 30250, 113, 25333, 113116, 16556, 21909, 45923, 123082, 107707, 13177, 89151, 28190, 30832, 30813, 10646, 20230, 109835, 104028, 198, 30537, 508, 18904, 110138, 37823, 115963, 43240, 102404, 57933, 42634, 74245, 123470, 112673, 118517, 26269, 80805, 20230, 73597, 252, 19000, 6447, 111002, 102860, 16073, 104817, 198, 30537, 972, 18904, 115538, 72369, 25005, 101, 105048, 16144, 113261, 24615, 248, 104674, 55031, 117734, 103296, 112028, 80631, 104, 101467, 9458, 86799, 35283, 14438, 6150, 120824, 99397, 61304, 18, 198, 13177, 47260, 119263, 78683, 103906, 111363, 113160, 49988, 99750, 118587, 96356, 20230, 122382, 124545, 118733, 37823, 117697, 38248, 115, 103830, 30512, 113598, 30297, 111942, 42584, 46270, 80998, 105408, 124773, 91482, 109496, 198, 30537, 1114, 18904, 115538, 72369, 25005, 101, 105048, 16144, 113261, 24615, 248, 104674, 55031, 117734, 103296, 112028, 80631, 104, 101467, 9458, 86799, 35283, 14438, 6150, 120824, 99397, 61304, 17, 198, 13177, 98499, 64121, 104655, 32149, 72342, 117503, 82973, 102052, 13177, 103472, 104542, 10646, 71289, 13177, 50211, 34208, 10646, 104309, 30512, 87177, 15024, 40862, 30297, 111942, 107141, 101275, 91774, 48864, 198, 30537, 845, 18904, 115538, 72369, 25005, 101, 105048, 16144, 113261, 24615, 248, 104674, 55031, 117734, 103296, 112028, 80631, 104, 101467, 9458, 86799, 35283, 14438, 6150, 120824, 99397, 61304, 16, 198, 21909, 17792, 35083, 104378, 30512, 30358, 103984, 1811, 2654, 688, 55709, 2136, 7, 112798, 117126, 64209, 8, 55031, 57, 478, 7, 107969, 37689, 8, 103296, 117039, 71289, 121995, 16556, 46239, 198, 30537, 868, 18904, 106982, 60868, 123577, 38248, 119, 123428, 49792, 70626, 102667, 16556, 117734, 21990, 121254, 76622, 22649, 9039, 39276, 106482, 66201, 100927, 103234, 30512, 122401, 54926, 110968, 116812, 22649, 106150, 45829, 98369, 124773, 91482, 109496, 4499, 13, 17, 198, 30537, 975, 18904, 106982, 60868, 123577, 38248, 119, 123428, 49792, 70626, 102667, 16556, 117734, 21990, 121254, 76622, 22649, 9039, 39276, 106482, 66201, 100927, 103234, 30512, 122401, 54926, 110968, 116812, 22649, 106150, 45829, 98369, 124773, 91482, 109496, 4499, 13, 16, 198, 30537, 1032, 18904, 105657, 56235, 111418, 19732, 101778, 56235, 111418, 15682, 114387, 20230, 108010, 30297, 6447, 127164, 27384, 111059, 16144, 119448, 30813, 30512, 23226, 107436, 103350, 99750, 198, 30537, 717, 18904, 10919, 311, 4048, 30512, 103350, 102321, 54926, 104378, 16144, 49792, 101908, 107118, 198, 53, 6374, 9995, 8473, 72, 113261, 24615, 248, 104674, 21909, 71493, 37823, 108526, 33710, 114676, 55139, 57207, 37823, 109713, 66953, 110494, 4499, 13, 17, 198, 12626, 30169, 2009, 2234, 9589, 6985, 105408, 124773, 91482, 109496, 198, 30537, 806, 18904, 113202, 57980, 16995, 57980, 113261, 116581, 104378, 101513, 97518, 16144, 18655, 103234, 111671, 0, 128001, 128000, 26130, 30832, 17663, 125231, 28542, 15682, 105104, 28713, 59739, 101182, 9174, 15120, 59739, 15682, 5002, 44597, 125215, 8107, 119400, 20230, 115274, 95221, 104840, 29295, 34617, 27479, 32977, 17297, 29295, 30369, 102677, 101198, 78683, 30320, 115, 103232, 23538, 29295, 30591, 76947, 5486, 102057, 226, 17161, 116537, 106266, 114485, 15024, 5486, 102057, 226, 17161, 106581, 15682, 102717, 109416, 105721, 32016, 231, 30512, 109169, 58942, 101732, 102677, 100909, 103195, 9174, 108031, 15120, 59739, 15682, 5486, 1846, 44597, 125215, 8107, 119400, 103296, 20230, 113073, 15682, 15120, 95221, 20230, 44597, 44597, 27113, 32307, 17792, 103296, 108947, 102404, 103792, 100909, 103195, 118844, 15682, 104840, 118937, 33208, 19732, 5486, 104840, 118937, 33208, 29295, 88367, 20230, 56051, 53610, 101129, 20551, 243, 19967, 16144, 103572, 82317, 29295, 46456, 107800, 120900, 9174, 110924, 16556, 16937, 91763, 104760, 26854, 104468, 5486, 102057, 226, 17161, 114754, 115924, 121143, 121894, 110276, 110229, 20230, 124625, 21990, 114754, 17039, 28713, 26854, 21990, 106518, 103826, 29430, 30512, 110794, 104526, 104127, 108048, 29295, 113073, 108947, 102404, 16144, 53229, 91875, 48634, 110276, 19732, 126693, 123085, 107707, 102717, 19732, 124592, 29295, 124625, 21990, 17792, 101983, 107462, 123207, 105110, 100604, 110115, 5486, 103350, 104983, 102052, 102040, 112694, 58246, 39880, 102860, 58246, 102040, 112694, 102677, 100909, 36785, 59459, 67016, 32977, 5486, 111482, 104023, 127881, 15755, 242, 56420, 30512, 19732, 114598, 5486, 123737, 104023, 56, 108208, 39135, 33014, 56420, 30512, 19732, 114598, 120550, 105272, 340, 85701, 15682, 110176, 112919, 30591, 16995, 36785, 20230, 107188, 31431, 116840, 25287, 16144, 107960, 39209, 29295, 23039, 125167, 106592, 115552, 54926, 120900, 32149, 109900, 107173, 103856, 23538, 16144, 38574, 106090, 16556, 102057, 226, 17161, 114754, 53610, 101129, 112113, 30512, 108710, 50928, 39926, 5486, 124625, 21990, 17792, 19732, 112361, 105933, 113073, 108947, 102404, 30512, 106613, 111186, 56051, 120900, 32149, 1811, 118816, 126693, 5486, 17792, 104770, 102512, 17905, 107188, 31431, 24615, 222, 19361, 26854, 126465, 117282, 16144, 111769, 32149, 1811, 128001, 128000, 2, 101370, 95, 106759, 16144, 103926, 40474, 127242, 123697, 112391, 30369, 45829, 111363, 115924, 103359, 6269, 102756, 65575, 18, 59739, 220, 110631, 58942, 100516, 78183, 29295, 110674, 100516, 95221, 48634, 16144, 103167, 17297, 29295, 91774, 107800, 33503, 104405, 54926, 95532, 77181, 5486, 103926, 40474, 127242, 101983, 104533, 5486, 45829, 67645, 32977, 20230, 67645, 103171, 104721, 33208, 29295, 125119, 30369, 105879, 109954, 32149, 66327, 44620, 106759, 16144, 103926, 40474, 127242, 36761, 112391, 30369, 45829, 126365, 58942, 29295, 43514, 26854, 18, 118821, 66378, 17599, 112, 116326, 20, 9953, 19, 9080, 55487, 22023, 7705, 55031, 15120, 34048, 113487, 90397, 233, 15024, 5486, 50338, 108323, 78434, 9174, 118075, 220, 110631, 58942, 16144, 115079, 21601, 198, 67645, 103171, 45829, 67645, 32977, 32977, 5486, 106759, 55031, 103926, 103646, 16995, 106046, 76947, 61689, 109807, 103846, 103926, 40474, 127242, 101983, 104533, 36896, 103926, 40474, 30512, 32977, 33503, 30297, 123120, 10646, 29295, 115079, 58942, 33541, 1811, 16995, 43514, 81219, 25827, 78183, 107277, 126172, 16995, 112973, 36896, 105318, 10110, 110631, 58942, 7705, 29295, 115079, 105262, 10646, 100909, 38641, 66327, 33334, 103760, 98369, 5486, 106142, 119154, 107086, 109156, 103836, 115320, 64121, 53953, 19732, 76947, 59712, 111299, 106968, 20230, 44309, 30512, 107691, 16995, 107294, 106824, 76947, 59712, 33334, 113351, 17663, 102334, 55031, 48154, 114053, 19967, 76947, 10646, 85701, 33503, 15682, 5486, 45829, 67645, 32977, 105110, 112832, 72661, 69978, 103836, 105318, 38641, 1811, 16, 9080, 16, 21909, 17, 18904, 105110, 5486, 117864, 47884, 109606, 100604, 123253, 1811, 90620, 5486, 105318, 29295, 110993, 79982, 20230, 115079, 107290, 105898, 33503, 5486, 103926, 40474, 127242, 115717, 126929, 100934, 32149, 110241, 33121, 107515, 9174, 119560, 18049, 237, 29295, 110674, 111363, 102404, 77413, 198, 103926, 40474, 127242, 29295, 106307, 126145, 5486, 90620, 16144, 110631, 58942, 55031, 22649, 16937, 107542, 26854, 105318, 10110, 78183, 29295, 110674, 7705, 20230, 102404, 77413, 78434, 66327, 1135, 110743, 16144, 105621, 25005, 253, 94550, 4977, 107691, 76947, 59712, 52884, 116670, 16144, 66953, 115432, 107691, 76947, 10646, 104309, 45736, 109518, 26854, 102944, 30512, 105318, 56051, 31431, 36896, 33334, 86894, 241, 45829, 69978, 76947, 22957, 16995, 59712, 104575, 103296, 101918, 16556, 37705, 107462, 76622, 66383, 110665, 78244, 30512, 118328, 102334, 31431, 5486, 105318, 30512, 64889, 104533, 110665, 103468, 31431, 54926, 16144, 38641, 1811, 110382, 103296, 37507, 104533, 5486, 114715, 109688, 117126, 123253, 9174, 126892, 95221, 48634, 16144, 103167, 17297, 198, 45829, 67645, 102944, 95221, 105284, 113468, 15682, 5486, 95221, 48634, 29295, 103470, 109020, 115789, 57903, 33541, 118844, 15682, 13177, 122571, 106759, 55031, 103926, 84389, 126386, 5486, 95001, 112603, 16144, 100604, 114516, 36785, 66383, 112391, 38144, 114732, 55031, 38641, 1811, 112990, 64209, 29295, 59739, 33503, 115737, 76947, 103293, 102832, 105404, 55031, 72718, 50834, 102204, 123733, 100472, 31431, 5486, 115364, 33014, 30512, 27384, 102769, 20230, 103082, 123733, 100472, 31431, 78434, 1811, 115364, 120987, 105352, 5486, 110526, 114792, 38144, 103470, 109020, 16144, 38641, 9174, 567, 118828, 40474, 127242, 117255, 20230, 119852, 112987, 124324, 18, 118821, 112690, 198, 77181, 5486, 45829, 67645, 32977, 29295, 103926, 40474, 127242, 115717, 126929, 101732, 33503, 5486, 67645, 103171, 120266, 61633, 126693, 104712, 105879, 109954, 32149, 1811, 33671, 16144, 18, 59739, 112690, 103378, 15682, 5486, 117952, 100604, 118881, 29295, 104712, 123253, 9174, 10110, 16, 7705, 13177, 110631, 58942, 16144, 115079, 21601, 10646, 126101, 119852, 112987, 124324, 112690, 198, 103926, 40474, 127242, 16144, 85707, 23538, 38574, 106090, 77181, 5486, 110631, 58942, 10110, 105318, 7705, 29295, 115079, 58942, 33541, 109807, 126101, 119852, 112987, 124324, 104468, 36896, 109298, 109298, 109860, 43568, 22649, 66383, 45829, 67645, 102944, 105318, 30512, 103892, 55031, 33476, 23187, 54926, 112690, 38641, 118844, 30512, 112844, 19732, 5486, 103926, 40474, 127242, 15682, 122270, 104328, 67645, 115737, 31431, 33541, 9174, 118133, 104503, 98369, 115515, 111299, 106968, 5486, 102895, 26269, 70563, 94550, 102494, 64178, 20230, 89046, 106824, 76947, 47884, 110615, 91006, 19732, 117952, 103468, 110018, 20230, 13177, 112008, 102800, 55031, 43568, 22649, 66383, 112844, 66327, 33334, 103760, 98369, 5486, 113351, 114485, 100472, 55031, 114053, 19967, 76947, 66383, 117952, 103468, 110018, 20230, 13177, 107943, 82973, 100604, 55031, 5486, 109713, 91482, 78683, 16556, 107691, 76947, 50834, 38144, 66383, 112844, 1811, 108895, 16995, 100472, 109335, 5486, 103926, 40474, 127242, 117255, 67645, 32977, 102052, 108608, 48249, 31431, 117952, 100604, 112973, 109673, 108630, 38641, 1811, 128001, 128000, 567, 122828, 105, 91077, 15682, 16, 8107, 56965, 16556, 19423, 14558, 115079, 21601, 54926, 95532, 679, 21, 110895, 106968, 16144, 117434, 91077, 72516, 124750, 9039, 15682, 2970, 11, 17458, 14558, 16556, 106116, 9039, 15682, 111717, 16144, 109713, 91482, 78683, 72516, 124750, 9039, 10110, 4370, 11, 23105, 14558, 14, 679, 21, 110895, 106968, 7705, 30512, 17905, 18904, 76947, 61689, 1811, 60358, 8107, 72661, 117434, 91077, 9039, 16144, 115079, 21601, 101427, 122, 70141, 15682, 106307, 102532, 108086, 5486, 679, 16, 110895, 106968, 55031, 679, 21, 110895, 106968, 103296, 16144, 20, 8107, 56965, 16556, 5486, 115274, 103664, 19423, 14558, 14, 8107, 101860, 59739, 115079, 21601, 127145, 1811, 16, 9080, 30591, 115926, 17, 14558, 71689, 17039, 28713, 26854, 117434, 91077, 29295, 45918, 243, 21990, 103792, 102677, 100909, 115717, 33541, 1811, 117434, 91077, 9039, 115079, 21601, 102052, 5486, 103242, 117434, 17620, 101275, 16144, 84851, 103130, 29295, 119448, 47884, 116690, 127145, 1811, 4468, 19, 116358, 103242, 117434, 17620, 101275, 24186, 8107, 23897, 104989, 5486, 117120, 24273, 23964, 233, 109577, 9039, 15682, 110137, 102802, 106307, 76622, 108048, 20230, 112183, 16995, 117434, 91077, 9039, 32977, 27384, 111044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101559, 16144, 100927, 58942, 40862, 117714, 109215, 34171, 30512, 104195, 47884, 36668, 105714, 109768, 79721, 9174, 66378, 20230, 5486, 110904, 20230, 100927, 70626, 103378, 30512, 100927, 105262, 16144, 126194, 43240, 103826, 26854, 106556, 30512, 110137, 81219, 17663, 106592, 113727, 104533, 5486, 105408, 116907, 29295, 37823, 117697, 38248, 115, 103830, 71289, 109606, 50338, 104662, 48634, 104309, 5486, 106613, 111186, 30512, 33035, 39926, 48864, 81219, 123207, 16995, 124324, 106556, 30512, 96356, 20230, 47000, 105784, 109215, 115991, 33541, 119520, 5486, 100927, 102452, 107809, 16556, 115364, 30832, 29295, 109948, 16995, 100481, 104435, 105494, 104309, 5486, 102099, 95543, 66870, 103378, 77181, 95221, 109669, 47884, 105908, 111108, 102800, 105494, 32977, 57903, 33541, 109807, 103846, 5486, 106613, 111186, 55031, 50928, 110071, 13153, 101544, 30512, 112366, 33208, 54926, 103846, 102052, 5486, 109790, 30046, 117758, 106384, 65575, 66953, 48552, 15682, 109947, 124490, 103195, 19732, 112391, 79721, 9174, 33671, 18904, 15682, 115515, 18904, 16144, 44915, 30512, 119870, 17129, 58942, 5486, 113261, 116581, 104378, 20230, 109215, 26854, 100909, 71289, 104378, 57326, 77750, 32131, 91062, 16144, 19967, 13153, 109853, 17885, 118, 61689, 9174, 59739, 109669, 47884, 198, 30537, 843, 18904, 112498, 67645, 32977, 30512, 55999, 20230, 101662, 125655, 124180, 103306, 5486, 104575, 19732, 106759, 29295, 108975, 48634, 54926, 100909, 16144, 115552, 111942, 68759, 44971, 38248, 115, 39880, 16144, 30926, 27452, 126362, 220, 58426, 17, 198, 64780, 111344, 102667, 85707, 8107, 33671, 101544, 23538, 37026, 36668, 112415, 57326, 77750, 32131, 91062, 10110, 6254, 56, 6826, 28966, 25580, 18904, 16144, 77219, 30512, 98499, 104004, 198, 30537, 966, 18904, 101961, 17792, 104412, 113245, 105509, 40452, 21909, 32307, 37087, 16144, 61633, 30512, 21105, 97, 59739, 5486, 64209, 104328, 32149, 103468, 102944, 30512, 21105, 96, 107277, 19732, 103868, 78183, 33334, 30297, 198, 30537, 1682, 18904, 104626, 109, 20230, 104655, 47884, 103378, 77181, 78183, 124403, 36896, 101778, 59563, 39880, 125581, 16144, 104622, 50667, 21990, 117503, 104773, 16144, 103350, 107328, 304, 57207, 125057, 89154, 64178, 198, 30537, 1591, 18904, 45631, 110219, 16144, 127579, 117503, 104346, 86354, 19732, 39880, 125581, 16144, 106581, 29295, 107960, 19000, 54926, 104773, 304, 68759, 44971, 38248, 115, 39880, 198, 30537, 1627, 18904, 117303, 23530, 16144, 76739, 124643, 104603, 11972, 29295, 121819, 105987, 9554, 1811, 104195, 111101, 20230, 123307, 50834, 47000, 47884, 66953, 16073, 47260, 29220, 16144, 13773, 224, 16995, 198, 30537, 914, 18904, 112386, 73361, 16144, 106718, 16144, 102099, 102404, 22023, 48634, 19732, 123120, 48634, 16144, 53229, 28542, 30512, 113261, 116581, 104378, 126365, 28713, 198, 21909, 109606, 50338, 104662, 71289, 104760, 105242, 20230, 109215, 26854, 48634, 15682, 9080, 40053, 104654, 107809, 16556, 100990, 123, 28741, 20230, 101662, 123606, 100481, 47884, 198, 30537, 1187, 18904, 45631, 106222, 107809, 16144, 105994, 118587, 37689, 109375, 108608, 106592, 30358, 103984, 21909, 45923, 123082, 16144, 113261, 24615, 248, 104674, 10854, 48672, 70352, 21486, 388, 29229, 198, 30537, 1313, 18904, 109949, 124766, 100927, 125525, 112366, 16144, 115553, 111331, 107253, 104874, 21909, 107167, 124131, 124131, 38248, 109, 67075, 120650, 76947, 64121, 79721, 258, 45923, 123082, 198, 30537, 1691, 18904, 18630, 101, 240, 104699, 115789, 105677, 104004, 115789, 30250, 113, 25333, 113116, 16556, 21909, 45923, 123082, 107707, 13177, 89151, 28190, 30832, 30813, 10646, 20230, 109835, 104028, 198, 30537, 508, 18904, 110138, 37823, 115963, 43240, 102404, 57933, 42634, 74245, 123470, 112673, 118517, 26269, 80805, 20230, 73597, 252, 19000, 6447, 111002, 102860, 16073, 104817, 198, 30537, 972, 18904, 115538, 72369, 25005, 101, 105048, 16144, 113261, 24615, 248, 104674, 55031, 117734, 103296, 112028, 80631, 104, 101467, 9458, 86799, 35283, 14438, 6150, 120824, 99397, 61304, 18, 198, 13177, 47260, 119263, 78683, 103906, 111363, 113160, 49988, 99750, 118587, 96356, 20230, 122382, 124545, 118733, 37823, 117697, 38248, 115, 103830, 30512, 113598, 30297, 111942, 42584, 46270, 80998, 105408, 124773, 91482, 109496, 198, 30537, 1114, 18904, 115538, 72369, 25005, 101, 105048, 16144, 113261, 24615, 248, 104674, 55031, 117734, 103296, 112028, 80631, 104, 101467, 9458, 86799, 35283, 14438, 6150, 120824, 99397, 61304, 17, 198, 13177, 98499, 64121, 104655, 32149, 72342, 117503, 82973, 102052, 13177, 103472, 104542, 10646, 71289, 13177, 50211, 34208, 10646, 104309, 30512, 87177, 15024, 40862, 30297, 111942, 107141, 101275, 91774, 48864, 198, 30537, 845, 18904, 115538, 72369, 25005, 101, 105048, 16144, 113261, 24615, 248, 104674, 55031, 117734, 103296, 112028, 80631, 104, 101467, 9458, 86799, 35283, 14438, 6150, 120824, 99397, 61304, 16, 198, 21909, 17792, 35083, 104378, 30512, 30358, 103984, 1811, 2654, 688, 55709, 2136, 7, 112798, 117126, 64209, 8, 55031, 57, 478, 7, 107969, 37689, 8, 103296, 117039, 71289, 121995, 16556, 46239, 198, 30537, 868, 18904, 106982, 60868, 123577, 38248, 119, 123428, 49792, 70626, 102667, 16556, 117734, 21990, 121254, 76622, 22649, 9039, 39276, 106482, 66201, 100927, 103234, 30512, 122401, 54926, 110968, 116812, 22649, 106150, 45829, 98369, 124773, 91482, 109496, 4499, 13, 17, 198, 30537, 975, 18904, 106982, 60868, 123577, 38248, 119, 123428, 49792, 70626, 102667, 16556, 117734, 21990, 121254, 76622, 22649, 9039, 39276, 106482, 66201, 100927, 103234, 30512, 122401, 54926, 110968, 116812, 22649, 106150, 45829, 98369, 124773, 91482, 109496, 4499, 13, 16, 198, 30537, 1032, 18904, 105657, 56235, 111418, 19732, 101778, 56235, 111418, 15682, 114387, 20230, 108010, 30297, 6447, 127164, 27384, 111059, 16144, 119448, 30813, 30512, 23226, 107436, 103350, 99750, 198, 30537, 717, 18904, 10919, 311, 4048, 30512, 103350, 102321, 54926, 104378, 16144, 49792, 101908, 107118, 198, 53, 6374, 9995, 8473, 72, 113261, 24615, 248, 104674, 21909, 71493, 37823, 108526, 33710, 114676, 55139, 57207, 37823, 109713, 66953, 110494, 4499, 13, 17, 198, 12626, 30169, 2009, 2234, 9589, 6985, 105408, 124773, 91482, 109496, 198, 30537, 806, 18904, 113202, 57980, 16995, 57980, 113261, 116581, 104378, 101513, 97518, 16144, 18655, 103234, 111671, 0, 128001, 128000, 26130, 30832, 17663, 125231, 28542, 15682, 105104, 28713, 59739, 101182, 9174, 15120, 59739, 15682, 5002, 44597, 125215, 8107, 119400, 20230, 115274, 95221, 104840, 29295, 34617, 27479, 32977, 17297, 29295, 30369, 102677, 101198, 78683, 30320, 115, 103232, 23538, 29295, 30591, 76947, 5486, 102057, 226, 17161, 116537, 106266, 114485, 15024, 5486, 102057, 226, 17161, 106581, 15682, 102717, 109416, 105721, 32016, 231, 30512, 109169, 58942, 101732, 102677, 100909, 103195, 9174, 108031, 15120, 59739, 15682, 5486, 1846, 44597, 125215, 8107, 119400, 103296, 20230, 113073, 15682, 15120, 95221, 20230, 44597, 44597, 27113, 32307, 17792, 103296, 108947, 102404, 103792, 100909, 103195, 118844, 15682, 104840, 118937, 33208, 19732, 5486, 104840, 118937, 33208, 29295, 88367, 20230, 56051, 53610, 101129, 20551, 243, 19967, 16144, 103572, 82317, 29295, 46456, 107800, 120900, 9174, 110924, 16556, 16937, 91763, 104760, 26854, 104468, 5486, 102057, 226, 17161, 114754, 115924, 121143, 121894, 110276, 110229, 20230, 124625, 21990, 114754, 17039, 28713, 26854, 21990, 106518, 103826, 29430, 30512, 110794, 104526, 104127, 108048, 29295, 113073, 108947, 102404, 16144, 53229, 91875, 48634, 110276, 19732, 126693, 123085, 107707, 102717, 19732, 124592, 29295, 124625, 21990, 17792, 101983, 107462, 123207, 105110, 100604, 110115, 5486, 103350, 104983, 102052, 102040, 112694, 58246, 39880, 102860, 58246, 102040, 112694, 102677, 100909, 36785, 59459, 67016, 32977, 5486, 111482, 104023, 127881, 15755, 242, 56420, 30512, 19732, 114598, 5486, 123737, 104023, 56, 108208, 39135, 33014, 56420, 30512, 19732, 114598, 120550, 105272, 340, 85701, 15682, 110176, 112919, 30591, 16995, 36785, 20230, 107188, 31431, 116840, 25287, 16144, 107960, 39209, 29295, 23039, 125167, 106592, 115552, 54926, 120900, 32149, 109900, 107173, 103856, 23538, 16144, 38574, 106090, 16556, 102057, 226, 17161, 114754, 53610, 101129, 112113, 30512, 108710, 50928, 39926, 5486, 124625, 21990, 17792, 19732, 112361, 105933, 113073, 108947, 102404, 30512, 106613, 111186, 56051, 120900, 32149, 1811, 118816, 126693, 5486, 17792, 104770, 102512, 17905, 107188, 31431, 24615, 222, 19361, 26854, 126465, 117282, 16144, 111769, 32149, 1811, 128001, 128000, 2, 101370, 95, 106759, 16144, 103926, 40474, 127242, 123697, 112391, 30369, 45829, 111363, 115924, 103359, 6269, 102756, 65575, 18, 59739, 220, 110631, 58942, 100516, 78183, 29295, 110674, 100516, 95221, 48634, 16144, 103167, 17297, 29295, 91774, 107800, 33503, 104405, 54926, 95532, 77181, 5486, 103926, 40474, 127242, 101983, 104533, 5486, 45829, 67645, 32977, 20230, 67645, 103171, 104721, 33208, 29295, 125119, 30369, 105879, 109954, 32149, 66327, 44620, 106759, 16144, 103926, 40474, 127242, 36761, 112391, 30369, 45829, 126365, 58942, 29295, 43514, 26854, 18, 118821, 66378, 17599, 112, 116326, 20, 9953, 19, 9080, 55487, 22023, 7705, 55031, 15120, 34048, 113487, 90397, 233, 15024, 5486, 50338, 108323, 78434, 9174, 118075, 220, 110631, 58942, 16144, 115079, 21601, 198, 67645, 103171, 45829, 67645, 32977, 32977, 5486, 106759, 55031, 103926, 103646, 16995, 106046, 76947, 61689, 109807, 103846, 103926, 40474, 127242, 101983, 104533, 36896, 103926, 40474, 30512, 32977, 33503, 30297, 123120, 10646, 29295, 115079, 58942, 33541, 1811, 16995, 43514, 81219, 25827, 78183, 107277, 126172, 16995, 112973, 36896, 105318, 10110, 110631, 58942, 7705, 29295, 115079, 105262, 10646, 100909, 38641, 66327, 33334, 103760, 98369, 5486, 106142, 119154, 107086, 109156, 103836, 115320, 64121, 53953, 19732, 76947, 59712, 111299, 106968, 20230, 44309, 30512, 107691, 16995, 107294, 106824, 76947, 59712, 33334, 113351, 17663, 102334, 55031, 48154, 114053, 19967, 76947, 10646, 85701, 33503, 15682, 5486, 45829, 67645, 32977, 105110, 112832, 72661, 69978, 103836, 105318, 38641, 1811, 16, 9080, 16, 21909, 17, 18904, 105110, 5486, 117864, 47884, 109606, 100604, 123253, 1811, 90620, 5486, 105318, 29295, 110993, 79982, 20230, 115079, 107290, 105898, 33503, 5486, 103926, 40474, 127242, 115717, 126929, 100934, 32149, 110241, 33121, 107515, 9174, 119560, 18049, 237, 29295, 110674, 111363, 102404, 77413, 198, 103926, 40474, 127242, 29295, 106307, 126145, 5486, 90620, 16144, 110631, 58942, 55031, 22649, 16937, 107542, 26854, 105318, 10110, 78183, 29295, 110674, 7705, 20230, 102404, 77413, 78434, 66327, 1135, 110743, 16144, 105621, 25005, 253, 94550, 4977, 107691, 76947, 59712, 52884, 116670, 16144, 66953, 115432, 107691, 76947, 10646, 104309, 45736, 109518, 26854, 102944, 30512, 105318, 56051, 31431, 36896, 33334, 86894, 241, 45829, 69978, 76947, 22957, 16995, 59712, 104575, 103296, 101918, 16556, 37705, 107462, 76622, 66383, 110665, 78244, 30512, 118328, 102334, 31431, 5486, 105318, 30512, 64889, 104533, 110665, 103468, 31431, 54926, 16144, 38641, 1811, 110382, 103296, 37507, 104533, 5486, 114715, 109688, 117126, 123253, 9174, 126892, 95221, 48634, 16144, 103167, 17297, 198, 45829, 67645, 102944, 95221, 105284, 113468, 15682, 5486, 95221, 48634, 29295, 103470, 109020, 115789, 57903, 33541, 118844, 15682, 13177, 122571, 106759, 55031, 103926, 84389, 126386, 5486, 95001, 112603, 16144, 100604, 114516, 36785, 66383, 112391, 38144, 114732, 55031, 38641, 1811, 112990, 64209, 29295, 59739, 33503, 115737, 76947, 103293, 102832, 105404, 55031, 72718, 50834, 102204, 123733, 100472, 31431, 5486, 115364, 33014, 30512, 27384, 102769, 20230, 103082, 123733, 100472, 31431, 78434, 1811, 115364, 120987, 105352, 5486, 110526, 114792, 38144, 103470, 109020, 16144, 38641, 9174, 567, 118828, 40474, 127242, 117255, 20230, 119852, 112987, 124324, 18, 118821, 112690, 198, 77181, 5486, 45829, 67645, 32977, 29295, 103926, 40474, 127242, 115717, 126929, 101732, 33503, 5486, 67645, 103171, 120266, 61633, 126693, 104712, 105879, 109954, 32149, 1811, 33671, 16144, 18, 59739, 112690, 103378, 15682, 5486, 117952, 100604, 118881, 29295, 104712, 123253, 9174, 10110, 16, 7705, 13177, 110631, 58942, 16144, 115079, 21601, 10646, 126101, 119852, 112987, 124324, 112690, 198, 103926, 40474, 127242, 16144, 85707, 23538, 38574, 106090, 77181, 5486, 110631, 58942, 10110, 105318, 7705, 29295, 115079, 58942, 33541, 109807, 126101, 119852, 112987, 124324, 104468, 36896, 109298, 109298, 109860, 43568, 22649, 66383, 45829, 67645, 102944, 105318, 30512, 103892, 55031, 33476, 23187, 54926, 112690, 38641, 118844, 30512, 112844, 19732, 5486, 103926, 40474, 127242, 15682, 122270, 104328, 67645, 115737, 31431, 33541, 9174, 118133, 104503, 98369, 115515, 111299, 106968, 5486, 102895, 26269, 70563, 94550, 102494, 64178, 20230, 89046, 106824, 76947, 47884, 110615, 91006, 19732, 117952, 103468, 110018, 20230, 13177, 112008, 102800, 55031, 43568, 22649, 66383, 112844, 66327, 33334, 103760, 98369, 5486, 113351, 114485, 100472, 55031, 114053, 19967, 76947, 66383, 117952, 103468, 110018, 20230, 13177, 107943, 82973, 100604, 55031, 5486, 109713, 91482, 78683, 16556, 107691, 76947, 50834, 38144, 66383, 112844, 1811, 108895, 16995, 100472, 109335, 5486, 103926, 40474, 127242, 117255, 67645, 32977, 102052, 108608, 48249, 31431, 117952, 100604, 112973, 109673, 108630, 38641, 1811, 128001, 128000, 567, 122828, 105, 91077, 15682, 16, 8107, 56965, 16556, 19423, 14558, 115079, 21601, 54926, 95532, 679, 21, 110895, 106968, 16144, 117434, 91077, 72516, 124750, 9039, 15682, 2970, 11, 17458, 14558, 16556, 106116, 9039, 15682, 111717, 16144, 109713, 91482, 78683, 72516, 124750, 9039, 10110, 4370, 11, 23105, 14558, 14, 679, 21, 110895, 106968, 7705, 30512, 17905, 18904, 76947, 61689, 1811, 60358, 8107, 72661, 117434, 91077, 9039, 16144, 115079, 21601, 101427, 122, 70141, 15682, 106307, 102532, 108086, 5486, 679, 16, 110895, 106968, 55031, 679, 21, 110895, 106968, 103296, 16144, 20, 8107, 56965, 16556, 5486, 115274, 103664, 19423, 14558, 14, 8107, 101860, 59739, 115079, 21601, 127145, 1811, 16, 9080, 30591, 115926, 17, 14558, 71689, 17039, 28713, 26854, 117434, 91077, 29295, 45918, 243, 21990, 103792, 102677, 100909, 115717, 33541, 1811, 117434, 91077, 9039, 115079, 21601, 102052, 5486, 103242, 117434, 17620, 101275, 16144, 84851, 103130, 29295, 119448, 47884, 116690, 127145, 1811, 4468, 19, 116358, 103242, 117434, 17620, 101275, 24186, 8107, 23897, 104989, 5486, 117120, 24273, 23964, 233, 109577, 9039, 15682, 110137, 102802, 106307, 76622, 108048, 20230, 112183, 16995, 117434, 91077, 9039, 32977, 27384, 111044 ]
[ 20230, 115079, 21601, 39926, 50834, 79721, 9174, 567, 118014, 102332, 30046, 37026, 33503, 40452, 54926, 117434, 91077, 15682, 8107, 56965, 16556, 18196, 14558, 114485, 83747, 54926, 95532, 117434, 91077, 14558, 9039, 29295, 115079, 21601, 54926, 15120, 24273, 5486, 87447, 102332, 30046, 37026, 33503, 29295, 40452, 54926, 117434, 91077, 14558, 9039, 15682, 114485, 83747, 101427, 122, 70141, 20230, 57903, 33541, 1811, 26854, 112371, 123253, 32149, 95532, 103242, 117434, 17620, 101275, 16144, 84851, 103130, 19732, 107173, 20230, 26955, 94, 27384, 39926, 105898, 117434, 91077, 101275, 98220, 119627, 5486, 679, 22, 8107, 102052, 103242, 117434, 17620, 101275, 96455, 29295, 2031, 113127, 30512, 72404, 58942, 5486, 101275, 98220, 16144, 13153, 101544, 15682, 109203, 81219, 16995, 117084, 50834, 127280, 115397, 24273, 16556, 117434, 95001, 16144, 23226, 23187, 71289, 104873, 21403, 97, 78943, 100845, 105, 16144, 23226, 23187, 5486, 33420, 106382, 115079, 85188, 104309, 112212, 5486, 11881, 242, 119775, 27384, 25287, 122412, 16144, 103722, 112772, 117434, 91077, 30512, 106391, 58942, 100481, 104984, 101268, 110, 117295, 5486, 102677, 117501, 77181, 123733, 76947, 61689, 118855, 5486, 117434, 48864, 34048, 29295, 19, 8107, 44416, 55031, 21, 8107, 44416, 110276, 118733, 5486, 117434, 48864, 34048, 16144, 78228, 112622, 30046, 9039, 29295, 114485, 114715, 5486, 117434, 21403, 97, 104599, 29295, 110020, 34171, 112535, 127242, 127145, 1811, 66378, 20230, 106848, 71289, 31809, 106045, 54872, 117434, 91077, 16556, 117434, 21403, 97, 104599, 16144, 17039, 106045, 118935, 11883, 29295, 110482, 111108, 121711, 5486, 118482, 16144, 120321, 105005, 29295, 111108, 106624, 26854, 76947, 61689, 9174, 567, 122828, 105, 91077, 9039, 29295, 112366, 16144, 72368, 45893, 102697, 72099, 15682, 101778, 108931, 16144, 21, 11, 20354, 14558, 198, 72368, 45893, 102697, 72099, 103283, 16144, 117434, 91077, 9039, 104088, 104533, 5486, 32335, 32977, 127181, 104468, 101778, 108931, 16556, 21, 11, 20354, 14558, 38641, 1811, 17, 87217, 30832, 15682, 116622, 102697, 16144, 19, 11, 24222, 14558, 5486, 18, 87217, 30832, 15682, 101365, 106618, 101701, 72099, 16144, 18, 11, 22091, 14558, 19732, 106307, 50834, 33541, 1811, 116900, 20230, 117434, 91077, 9039, 29295, 32335, 32977, 83747, 100604, 72099, 15682, 103005, 103932, 72099, 16556, 5486, 103242, 117434, 17620, 101275, 96455, 16144, 103167, 30813, 10110, 679, 21, 110895, 106968, 39177, 28542, 16556, 1135, 13, 23, 113127, 7705, 19732, 97518, 89046, 109768, 104533, 113727, 102204, 33541, 9174, 567, 117826, 19000, 16144, 117434, 91077, 15682, 109431, 37656, 9039, 105755, 17, 13, 19, 98406, 127181, 95532, 117434, 91077, 16144, 9039, 20230, 109431, 37656, 9039, 102677, 102944, 15682, 101182, 105879, 109954, 32149, 11571, 2550, 22, 116033, 102433, 117434, 21403, 97, 104599, 38093, 15682, 13177, 117434, 91077, 16144, 41758, 116670, 68408, 126590, 118587, 20379, 15024, 106116, 16325, 16556, 103242, 117434, 17620, 101275, 96455, 1041, 113127, 110276, 107803, 16144, 117434, 91077, 16144, 109215, 9039, 15682, 1187, 11, 931, 14558, 103195, 19732, 101067, 23187, 127145, 118844, 30512, 109431, 37656, 9039, 102677, 120266, 112990, 5486, 679, 21, 110895, 106968, 16144, 117434, 91077, 9039, 15682, 109431, 37656, 9039, 105755, 17, 13, 19, 98406, 32977, 127181, 102677, 100909, 115717, 33541, 1811, 31958, 107188, 90962, 112164, 125913, 39880, 38641, 1811, 122270, 60358, 8107, 77181, 115173, 115432, 71634, 39880, 16144, 104873, 21403, 97, 74843, 17701, 32977, 76706, 102404, 33208, 126020, 5486, 123726, 108618, 31431, 119707, 107674, 114300, 106106, 29295, 125119, 76947, 61689, 1811, 117434, 91077, 16144, 44, 120740, 32, 15682, 37271, 74482, 15120, 114050, 106266, 21105, 243, 30512, 115079, 109768, 126145, 113727, 102204, 33541, 1811, 128001, 128000, 16325, 102491, 109076, 26892, 38144, 126783, 16144, 109198, 17701, 30512, 111800, 118219, 127145, 9174, 113838, 80631, 107, 35330, 124905, 76947, 109198, 17701, 54926, 125231, 32149, 5486, 126783, 42634, 107060, 30512, 103214, 104004, 125231, 32149, 101128, 102, 104127, 61689, 9174, 102321, 35330, 16556, 15120, 106885, 109198, 17701, 108608, 103306, 32977, 198, 126783, 42634, 107060, 30512, 103214, 104004, 39850, 37823, 67075, 15682, 57903, 198, 50, 98369, 101908, 109297, 15682, 115847, 17129, 77181, 108695, 117758, 46729, 83812, 225, 111983, 103129, 16556, 101987, 104157, 106382, 29295, 126128, 58942, 102204, 101732, 16144, 119627, 5486, 111983, 103129, 109518, 29295, 114485, 30369, 100909, 110276, 105879, 16325, 102491, 109076, 26892, 38144, 126783, 16144, 109198, 17701, 30512, 111800, 118219, 103792, 102131, 38641, 9174, 126783, 42634, 107060, 30512, 103214, 104004, 32149, 104405, 116421, 122225, 120098, 15682, 25963, 59739, 9174, 33014, 104873, 20230, 109606, 29295, 103470, 5486, 108638, 33014, 122975, 118958, 33563, 117126, 20230, 118065, 108608, 32149, 104405, 32149, 9174, 53900, 5486, 126783, 42634, 107060, 114485, 85188, 124905, 105262, 53953, 14558, 32149, 104405, 32149, 38641, 9174, 104721, 91875, 35330, 60632, 30512, 107740, 126693, 5486, 112599, 35330, 60632, 29295, 15, 13, 18, 113127, 55038, 16144, 114734, 101513, 97518, 32977, 57903, 5486, 103167, 16995, 35330, 60632, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 105908, 125545, 9174, 126783, 42634, 107060, 30512, 103214, 104004, 118733, 5486, 46034, 9039, 42506, 71289, 35330, 60632, 109972, 106529, 29295, 102404, 21990, 78434, 29295, 5486, 46034, 24186, 20230, 102321, 35330, 30512, 108618, 39926, 33334, 50834, 106272, 101987, 17129, 16995, 30512, 109198, 17701, 108608, 104468, 112997, 29220, 40452, 102677, 28190, 16556, 39850, 37823, 67075, 115991, 33541, 9174, 112599, 15682, 8107, 110226, 29295, 45736, 47884, 5486, 85188, 35330, 16144, 109972, 106529, 29295, 43240, 102334, 62004, 5486, 126783, 42634, 107060, 114485, 85188, 112212, 5486, 107792, 85188, 8239, 114503, 30512, 50928, 59739, 59739, 5486, 104196, 111587, 117824, 16995, 5486, 126783, 42634, 107060, 114485, 85188, 105721, 35287, 126101, 56906, 107430, 35330, 104309, 30512, 96412, 109013, 92877, 74482, 103087, 35330, 16144, 127749, 104088, 38144, 103721, 108, 31431, 109415, 104196, 111587, 30512, 126693, 56906, 107430, 123090, 126783, 42634, 107060, 15682, 108618, 31431, 107515, 9174, 108638, 33014, 122975, 118958, 33563, 117126, 20230, 118065, 103082, 104984, 5486, 101908, 125001, 75694, 102677, 126101, 33563, 117126, 35330, 112212, 126783, 42634, 107060, 16144, 108703, 17701, 35330, 29295, 37087, 109518, 104196, 111587, 84389, 33541, 9174, 118958, 33563, 117126, 16144, 107734, 111017, 32977, 114196, 101832, 30369, 105879, 5486, 112599, 118065, 16325, 16144, 33563, 117126, 16144, 91774, 74245, 15024, 32977, 125545, 9174, 90620, 15024, 5486, 50, 115867, 101908, 15682, 8107, 106036, 95, 29295, 45736, 47884, 5486, 126783, 42634, 107060, 16144, 117859, 112984, 15682, 16906, 111, 106624, 109020, 125396, 115991, 33541, 9174, 126783, 42634, 107060, 30512, 103214, 104004, 103306, 32977, 112599, 16144, 102321, 35330, 16144, 119318, 116310, 16556, 109198, 17701, 108608, 53953, 14558, 117657, 105908, 107693, 9174, 56906, 107430, 123470, 104654, 30512, 21105, 96, 107277, 19732, 25197, 126989, 56051, 17905, 16556, 53953, 14558, 30512, 106767, 39926, 72315, 9174, 827, 127910, 58911, 27951, 233, 58666, 198, 104774, 25197, 96452, 16073, 123618, 9458, 57326, 93488, 118567, 9174, 9847, 47, 10110, 49, 8, 10110, 15120, 112686, 7705, 21990, 96311, 107, 48864, 108710, 122401, 112686, 108638, 104736, 23187, 47260, 113335, 9174, 13177, 46729, 82420, 47260, 113335, 10646, 106691, 9174, 105635, 111338, 23530, 20230, 87447, 102332, 56051, 13177, 85300, 246, 59563, 33334, 32149, 101832, 16144, 50021, 111813, 102452, 118587, 26955, 254, 28542, 20230, 11960, 50021, 111813, 9458, 46729, 82420, 120761, 64889, 9458, 80805, 38248, 121, 115307, 47260, 113335, 104309, 117824, 16995, 5486, 102803, 52591, 57326, 93488, 9458, 126783, 115181, 9458, 103087, 106518, 103768, 11883, 123160, 114341, 104599, 103306, 32977, 112415, 16325, 9174, 827, 110758, 111813, 101682, 47000, 16325, 106609, 20713, 71493, 9953, 16144, 46729, 82420, 107218, 123, 19732, 50021, 111813, 44915, 10110, 116718, 26854, 46729, 82420, 107218, 123, 110214, 16556, 50021, 111813, 116771, 32977, 4012, 7705, 30512, 102181, 102532, 5486, 48154, 106608, 119890, 72315, 6447, 128001, 128000, 567, 105120, 235, 45829, 118006, 15682, 103350, 46729, 32149, 83812, 225, 110726, 67645, 112384, 29295, 126521, 95532, 106627, 106367, 39926, 103760, 45829, 118006, 119012, 107803, 5486, 103350, 46729, 20230, 101987, 104004, 32149, 83812, 225, 110726, 20230, 101987, 104004, 32149, 101128, 102, 64121, 33541, 123794, 9174, 86127, 32977, 102131, 16556, 56051, 29295, 5486, 110176, 24273, 106613, 111186, 39926, 17620, 102518, 104468, 17792, 113468, 67645, 112384, 29295, 126521, 104865, 15682, 108901, 109020, 102677, 100909, 38641, 9174, 67645, 112384, 32977, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 107407, 105879, 114652, 113954, 56051, 17905, 16556, 105994, 20230, 40862, 100472, 24273, 30512, 102647, 103854, 104533, 126521, 125651, 1811, 110382, 77181, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 16556, 127331, 33503, 56051, 107803, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 30512, 126362, 78434, 9174, 14711, 51561, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 126198, 107803, 16144, 39850, 37823, 67075, 198, 9458, 127032, 16144, 28190, 105987, 104088, 111243, 33503, 105262, 198, 9458, 46729, 83812, 225, 71289, 104654, 106382, 30512, 103129, 107441, 32977, 33503, 105262, 198, 9458, 46729, 30926, 30512, 46034, 108044, 114598, 33503, 105262, 198, 9458, 52591, 33710, 107507, 91062, 16556, 122502, 50834, 126172, 47884, 109020, 198, 103350, 46729, 16556, 127331, 117063, 81219, 46729, 83812, 225, 15682, 102404, 21990, 103801, 72342, 25827, 9174, 104654, 106382, 30512, 16995, 126910, 32149, 103350, 46729, 109156, 104028, 107803, 32977, 101182, 123253, 29295, 108048, 72661, 103760, 45829, 101083, 115351, 116771, 16556, 127331, 33503, 17663, 107803, 105755, 15682, 51385, 115737, 31431, 33541, 9174, 53900, 127032, 16144, 28190, 105987, 104088, 111243, 33503, 105262, 123017, 27384, 112495, 39850, 37823, 67075, 38641, 9174, 127032, 29295, 31809, 65316, 30297, 86614, 33563, 101662, 104674, 16144, 37705, 31431, 109169, 58942, 71289, 33334, 101083, 87177, 30512, 46034, 108044, 114598, 33503, 58942, 33541, 9174, 46729, 30926, 30512, 46034, 108044, 114598, 33503, 30297, 115789, 108608, 105879, 103129, 107277, 33541, 9174, 83812, 225, 110726, 118816, 108914, 102754, 107, 71289, 102456, 30926, 16144, 107253, 104874, 30512, 86348, 105994, 16556, 21105, 103, 16995, 102083, 76622, 107515, 9174, 51330, 104466, 106613, 111587, 109904, 105494, 19732, 5486, 46729, 30926, 101662, 116581, 16144, 17620, 106529, 29295, 5486, 103350, 46729, 127331, 33503, 119432, 39850, 37823, 67075, 121711, 33541, 9174, 14711, 51561, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 126198, 107803, 16144, 68408, 39850, 37823, 67075, 198, 9458, 33563, 101662, 42506, 29295, 45736, 47884, 109020, 198, 9458, 116581, 109421, 122740, 113598, 46034, 40265, 29295, 32977, 33503, 119841, 198, 9458, 29504, 70821, 8107, 35330, 16144, 107803, 103048, 21418, 29295, 101682, 76622, 102204, 100604, 198, 9458, 42016, 104157, 16144, 71634, 108744, 107407, 198, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 123410, 68408, 39850, 37823, 67075, 15682, 35417, 9554, 122521, 114475, 76622, 102204, 100604, 100909, 38641, 9174, 33563, 101662, 42506, 16144, 70203, 23187, 71289, 116581, 109421, 122740, 113598, 46034, 40265, 16144, 101682, 110698, 109518, 16144, 122282, 102052, 101083, 115351, 110226, 17701, 29295, 33655, 123671, 33541, 9174, 42016, 104157, 16144, 111656, 104503, 103760, 20230, 110226, 17701, 29295, 30591, 104984, 77693, 32977, 21601, 70203, 107001, 103846, 5486, 61633, 29295, 109215, 38641, 9174, 103350, 104983, 102052, 103760, 45829, 101083, 115351, 16556, 110226, 17701, 15682, 83747, 100604, 110115, 45736, 109518, 16144, 33563, 117126, 42506, 30512, 124237, 30297, 100909, 110276, 31431, 5486, 116581, 109421, 122740, 113598, 46034, 40265, 114475, 110698, 118765, 105908, 57903, 33541, 9174, 29504, 70821, 8107, 35330, 16144, 107803, 5486, 110226, 17701, 29295, 103167, 118145, 37087, 109518, 103048, 21418, 114475, 76622, 102204, 33541, 29295, 5486, 103350, 46729, 127331, 33503, 21105, 254, 19732, 101083, 115351, 36668, 16144, 110226, 17701, 32977, 21601, 70203, 107001, 105879, 111108, 106624, 26854, 31431, 33541, 9174, 50520, 111, 106624, 15682, 103760, 45829, 118006, 16144, 104654, 106382, 19732, 46034, 40265, 30512, 60596, 32307, 80631, 107, 35330, 54926, 41007, 198, 53900, 106759, 107118, 16995, 58942, 43511, 17792, 26854, 105879, 5486, 42016, 104157, 111848, 71634, 108744, 32977, 102404, 21990, 78434, 9174, 46729, 30926, 16144, 71289, 31431, 24273, 71289, 104654, 16144, 82973, 20230, 78525, 44971, 122291, 31431, 5486, 45829, 101662, 38144, 120332, 13393, 251, 16144, 121953, 32977, 101182, 123253, 9174, 51330, 104466, 113116, 28190, 113245, 109972, 106529, 29295, 103350, 46729, 127331, 33503, 119432, 68408, 39850, 37823, 67075, 121711, 33541, 9174, 14711, 51561, 103350, 46729, 127331, 33503, 67016, 83812, 225, 110726, 32149, 198, 71689, 30512, 119870, 17129, 107290, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 123410, 32149, 78698, 105262, 120098, 15682, 34617, 59739, 57903, 33541, 9174, 9458, 46456, 20834, 40452, 106556, 198, 9458, 106759, 110792, 116690, 198, 9458, 127032, 16144, 8107, 106036, 95, 198, 103350, 46729, 127331, 124949, 30512, 112990, 101682, 76622, 18655, 110615, 100909, 16144, 127181, 116581, 109421, 122740, 113598, 46034, 40265, 119627, 5486, 112624, 109518, 101682, 110698, 72661, 44597, 32307, 108680, 16556, 5486, 46729, 83812, 225, 20230, 33420, 105262, 35330, 109518, 38641, 9174, 33563, 101662, 42506, 29295, 45736, 47884, 109020, 104468, 25963, 97049, 116581, 103296, 16556, 5486, 34617, 97049, 23897, 104989, 15682, 81191, 20713, 68093, 8107, 78250, 9953, 55031, 37087, 101083, 115351, 16556, 92693, 115717, 33541, 9174, 29504, 70821, 8107, 35330, 16144, 126513, 114565, 34617, 27113, 110895, 16556, 121410, 9953, 845, 11, 13679, 35757, 29295, 102404, 21990, 78434, 29295, 198, 59739, 109709, 35330, 103842, 255, 28190, 113245, 109606, 15682, 5486, 104654, 106382, 125001, 126910, 32149, 117295, 32149, 102677, 100909, 38641, 9174, 108936, 109904, 103760, 45829, 101083, 115351, 16144, 104654, 106382, 15682, 20713, 44597, 32307, 56040, 20713, 66224, 32307, 38641, 9174, 124108, 106382, 30512, 30297, 17129, 47884, 21403, 232, 114485, 103082, 104984, 108031, 114715, 89783, 116664, 32977, 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 ]
[ 20230, 115079, 21601, 39926, 50834, 79721, 9174, 567, 118014, 102332, 30046, 37026, 33503, 40452, 54926, 117434, 91077, 15682, 8107, 56965, 16556, 18196, 14558, 114485, 83747, 54926, 95532, 117434, 91077, 14558, 9039, 29295, 115079, 21601, 54926, 15120, 24273, 5486, 87447, 102332, 30046, 37026, 33503, 29295, 40452, 54926, 117434, 91077, 14558, 9039, 15682, 114485, 83747, 101427, 122, 70141, 20230, 57903, 33541, 1811, 26854, 112371, 123253, 32149, 95532, 103242, 117434, 17620, 101275, 16144, 84851, 103130, 19732, 107173, 20230, 26955, 94, 27384, 39926, 105898, 117434, 91077, 101275, 98220, 119627, 5486, 679, 22, 8107, 102052, 103242, 117434, 17620, 101275, 96455, 29295, 2031, 113127, 30512, 72404, 58942, 5486, 101275, 98220, 16144, 13153, 101544, 15682, 109203, 81219, 16995, 117084, 50834, 127280, 115397, 24273, 16556, 117434, 95001, 16144, 23226, 23187, 71289, 104873, 21403, 97, 78943, 100845, 105, 16144, 23226, 23187, 5486, 33420, 106382, 115079, 85188, 104309, 112212, 5486, 11881, 242, 119775, 27384, 25287, 122412, 16144, 103722, 112772, 117434, 91077, 30512, 106391, 58942, 100481, 104984, 101268, 110, 117295, 5486, 102677, 117501, 77181, 123733, 76947, 61689, 118855, 5486, 117434, 48864, 34048, 29295, 19, 8107, 44416, 55031, 21, 8107, 44416, 110276, 118733, 5486, 117434, 48864, 34048, 16144, 78228, 112622, 30046, 9039, 29295, 114485, 114715, 5486, 117434, 21403, 97, 104599, 29295, 110020, 34171, 112535, 127242, 127145, 1811, 66378, 20230, 106848, 71289, 31809, 106045, 54872, 117434, 91077, 16556, 117434, 21403, 97, 104599, 16144, 17039, 106045, 118935, 11883, 29295, 110482, 111108, 121711, 5486, 118482, 16144, 120321, 105005, 29295, 111108, 106624, 26854, 76947, 61689, 9174, 567, 122828, 105, 91077, 9039, 29295, 112366, 16144, 72368, 45893, 102697, 72099, 15682, 101778, 108931, 16144, 21, 11, 20354, 14558, 198, 72368, 45893, 102697, 72099, 103283, 16144, 117434, 91077, 9039, 104088, 104533, 5486, 32335, 32977, 127181, 104468, 101778, 108931, 16556, 21, 11, 20354, 14558, 38641, 1811, 17, 87217, 30832, 15682, 116622, 102697, 16144, 19, 11, 24222, 14558, 5486, 18, 87217, 30832, 15682, 101365, 106618, 101701, 72099, 16144, 18, 11, 22091, 14558, 19732, 106307, 50834, 33541, 1811, 116900, 20230, 117434, 91077, 9039, 29295, 32335, 32977, 83747, 100604, 72099, 15682, 103005, 103932, 72099, 16556, 5486, 103242, 117434, 17620, 101275, 96455, 16144, 103167, 30813, 10110, 679, 21, 110895, 106968, 39177, 28542, 16556, 1135, 13, 23, 113127, 7705, 19732, 97518, 89046, 109768, 104533, 113727, 102204, 33541, 9174, 567, 117826, 19000, 16144, 117434, 91077, 15682, 109431, 37656, 9039, 105755, 17, 13, 19, 98406, 127181, 95532, 117434, 91077, 16144, 9039, 20230, 109431, 37656, 9039, 102677, 102944, 15682, 101182, 105879, 109954, 32149, 11571, 2550, 22, 116033, 102433, 117434, 21403, 97, 104599, 38093, 15682, 13177, 117434, 91077, 16144, 41758, 116670, 68408, 126590, 118587, 20379, 15024, 106116, 16325, 16556, 103242, 117434, 17620, 101275, 96455, 1041, 113127, 110276, 107803, 16144, 117434, 91077, 16144, 109215, 9039, 15682, 1187, 11, 931, 14558, 103195, 19732, 101067, 23187, 127145, 118844, 30512, 109431, 37656, 9039, 102677, 120266, 112990, 5486, 679, 21, 110895, 106968, 16144, 117434, 91077, 9039, 15682, 109431, 37656, 9039, 105755, 17, 13, 19, 98406, 32977, 127181, 102677, 100909, 115717, 33541, 1811, 31958, 107188, 90962, 112164, 125913, 39880, 38641, 1811, 122270, 60358, 8107, 77181, 115173, 115432, 71634, 39880, 16144, 104873, 21403, 97, 74843, 17701, 32977, 76706, 102404, 33208, 126020, 5486, 123726, 108618, 31431, 119707, 107674, 114300, 106106, 29295, 125119, 76947, 61689, 1811, 117434, 91077, 16144, 44, 120740, 32, 15682, 37271, 74482, 15120, 114050, 106266, 21105, 243, 30512, 115079, 109768, 126145, 113727, 102204, 33541, 1811, 128001, 128000, 16325, 102491, 109076, 26892, 38144, 126783, 16144, 109198, 17701, 30512, 111800, 118219, 127145, 9174, 113838, 80631, 107, 35330, 124905, 76947, 109198, 17701, 54926, 125231, 32149, 5486, 126783, 42634, 107060, 30512, 103214, 104004, 125231, 32149, 101128, 102, 104127, 61689, 9174, 102321, 35330, 16556, 15120, 106885, 109198, 17701, 108608, 103306, 32977, 198, 126783, 42634, 107060, 30512, 103214, 104004, 39850, 37823, 67075, 15682, 57903, 198, 50, 98369, 101908, 109297, 15682, 115847, 17129, 77181, 108695, 117758, 46729, 83812, 225, 111983, 103129, 16556, 101987, 104157, 106382, 29295, 126128, 58942, 102204, 101732, 16144, 119627, 5486, 111983, 103129, 109518, 29295, 114485, 30369, 100909, 110276, 105879, 16325, 102491, 109076, 26892, 38144, 126783, 16144, 109198, 17701, 30512, 111800, 118219, 103792, 102131, 38641, 9174, 126783, 42634, 107060, 30512, 103214, 104004, 32149, 104405, 116421, 122225, 120098, 15682, 25963, 59739, 9174, 33014, 104873, 20230, 109606, 29295, 103470, 5486, 108638, 33014, 122975, 118958, 33563, 117126, 20230, 118065, 108608, 32149, 104405, 32149, 9174, 53900, 5486, 126783, 42634, 107060, 114485, 85188, 124905, 105262, 53953, 14558, 32149, 104405, 32149, 38641, 9174, 104721, 91875, 35330, 60632, 30512, 107740, 126693, 5486, 112599, 35330, 60632, 29295, 15, 13, 18, 113127, 55038, 16144, 114734, 101513, 97518, 32977, 57903, 5486, 103167, 16995, 35330, 60632, 16556, 33334, 35330, 30512, 108703, 31431, 30369, 105908, 125545, 9174, 126783, 42634, 107060, 30512, 103214, 104004, 118733, 5486, 46034, 9039, 42506, 71289, 35330, 60632, 109972, 106529, 29295, 102404, 21990, 78434, 29295, 5486, 46034, 24186, 20230, 102321, 35330, 30512, 108618, 39926, 33334, 50834, 106272, 101987, 17129, 16995, 30512, 109198, 17701, 108608, 104468, 112997, 29220, 40452, 102677, 28190, 16556, 39850, 37823, 67075, 115991, 33541, 9174, 112599, 15682, 8107, 110226, 29295, 45736, 47884, 5486, 85188, 35330, 16144, 109972, 106529, 29295, 43240, 102334, 62004, 5486, 126783, 42634, 107060, 114485, 85188, 112212, 5486, 107792, 85188, 8239, 114503, 30512, 50928, 59739, 59739, 5486, 104196, 111587, 117824, 16995, 5486, 126783, 42634, 107060, 114485, 85188, 105721, 35287, 126101, 56906, 107430, 35330, 104309, 30512, 96412, 109013, 92877, 74482, 103087, 35330, 16144, 127749, 104088, 38144, 103721, 108, 31431, 109415, 104196, 111587, 30512, 126693, 56906, 107430, 123090, 126783, 42634, 107060, 15682, 108618, 31431, 107515, 9174, 108638, 33014, 122975, 118958, 33563, 117126, 20230, 118065, 103082, 104984, 5486, 101908, 125001, 75694, 102677, 126101, 33563, 117126, 35330, 112212, 126783, 42634, 107060, 16144, 108703, 17701, 35330, 29295, 37087, 109518, 104196, 111587, 84389, 33541, 9174, 118958, 33563, 117126, 16144, 107734, 111017, 32977, 114196, 101832, 30369, 105879, 5486, 112599, 118065, 16325, 16144, 33563, 117126, 16144, 91774, 74245, 15024, 32977, 125545, 9174, 90620, 15024, 5486, 50, 115867, 101908, 15682, 8107, 106036, 95, 29295, 45736, 47884, 5486, 126783, 42634, 107060, 16144, 117859, 112984, 15682, 16906, 111, 106624, 109020, 125396, 115991, 33541, 9174, 126783, 42634, 107060, 30512, 103214, 104004, 103306, 32977, 112599, 16144, 102321, 35330, 16144, 119318, 116310, 16556, 109198, 17701, 108608, 53953, 14558, 117657, 105908, 107693, 9174, 56906, 107430, 123470, 104654, 30512, 21105, 96, 107277, 19732, 25197, 126989, 56051, 17905, 16556, 53953, 14558, 30512, 106767, 39926, 72315, 9174, 827, 127910, 58911, 27951, 233, 58666, 198, 104774, 25197, 96452, 16073, 123618, 9458, 57326, 93488, 118567, 9174, 9847, 47, 10110, 49, 8, 10110, 15120, 112686, 7705, 21990, 96311, 107, 48864, 108710, 122401, 112686, 108638, 104736, 23187, 47260, 113335, 9174, 13177, 46729, 82420, 47260, 113335, 10646, 106691, 9174, 105635, 111338, 23530, 20230, 87447, 102332, 56051, 13177, 85300, 246, 59563, 33334, 32149, 101832, 16144, 50021, 111813, 102452, 118587, 26955, 254, 28542, 20230, 11960, 50021, 111813, 9458, 46729, 82420, 120761, 64889, 9458, 80805, 38248, 121, 115307, 47260, 113335, 104309, 117824, 16995, 5486, 102803, 52591, 57326, 93488, 9458, 126783, 115181, 9458, 103087, 106518, 103768, 11883, 123160, 114341, 104599, 103306, 32977, 112415, 16325, 9174, 827, 110758, 111813, 101682, 47000, 16325, 106609, 20713, 71493, 9953, 16144, 46729, 82420, 107218, 123, 19732, 50021, 111813, 44915, 10110, 116718, 26854, 46729, 82420, 107218, 123, 110214, 16556, 50021, 111813, 116771, 32977, 4012, 7705, 30512, 102181, 102532, 5486, 48154, 106608, 119890, 72315, 6447, 128001, 128000, 567, 105120, 235, 45829, 118006, 15682, 103350, 46729, 32149, 83812, 225, 110726, 67645, 112384, 29295, 126521, 95532, 106627, 106367, 39926, 103760, 45829, 118006, 119012, 107803, 5486, 103350, 46729, 20230, 101987, 104004, 32149, 83812, 225, 110726, 20230, 101987, 104004, 32149, 101128, 102, 64121, 33541, 123794, 9174, 86127, 32977, 102131, 16556, 56051, 29295, 5486, 110176, 24273, 106613, 111186, 39926, 17620, 102518, 104468, 17792, 113468, 67645, 112384, 29295, 126521, 104865, 15682, 108901, 109020, 102677, 100909, 38641, 9174, 67645, 112384, 32977, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 107407, 105879, 114652, 113954, 56051, 17905, 16556, 105994, 20230, 40862, 100472, 24273, 30512, 102647, 103854, 104533, 126521, 125651, 1811, 110382, 77181, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 16556, 127331, 33503, 56051, 107803, 16144, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 30512, 126362, 78434, 9174, 14711, 51561, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 126198, 107803, 16144, 39850, 37823, 67075, 198, 9458, 127032, 16144, 28190, 105987, 104088, 111243, 33503, 105262, 198, 9458, 46729, 83812, 225, 71289, 104654, 106382, 30512, 103129, 107441, 32977, 33503, 105262, 198, 9458, 46729, 30926, 30512, 46034, 108044, 114598, 33503, 105262, 198, 9458, 52591, 33710, 107507, 91062, 16556, 122502, 50834, 126172, 47884, 109020, 198, 103350, 46729, 16556, 127331, 117063, 81219, 46729, 83812, 225, 15682, 102404, 21990, 103801, 72342, 25827, 9174, 104654, 106382, 30512, 16995, 126910, 32149, 103350, 46729, 109156, 104028, 107803, 32977, 101182, 123253, 29295, 108048, 72661, 103760, 45829, 101083, 115351, 116771, 16556, 127331, 33503, 17663, 107803, 105755, 15682, 51385, 115737, 31431, 33541, 9174, 53900, 127032, 16144, 28190, 105987, 104088, 111243, 33503, 105262, 123017, 27384, 112495, 39850, 37823, 67075, 38641, 9174, 127032, 29295, 31809, 65316, 30297, 86614, 33563, 101662, 104674, 16144, 37705, 31431, 109169, 58942, 71289, 33334, 101083, 87177, 30512, 46034, 108044, 114598, 33503, 58942, 33541, 9174, 46729, 30926, 30512, 46034, 108044, 114598, 33503, 30297, 115789, 108608, 105879, 103129, 107277, 33541, 9174, 83812, 225, 110726, 118816, 108914, 102754, 107, 71289, 102456, 30926, 16144, 107253, 104874, 30512, 86348, 105994, 16556, 21105, 103, 16995, 102083, 76622, 107515, 9174, 51330, 104466, 106613, 111587, 109904, 105494, 19732, 5486, 46729, 30926, 101662, 116581, 16144, 17620, 106529, 29295, 5486, 103350, 46729, 127331, 33503, 119432, 39850, 37823, 67075, 121711, 33541, 9174, 14711, 51561, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 126198, 107803, 16144, 68408, 39850, 37823, 67075, 198, 9458, 33563, 101662, 42506, 29295, 45736, 47884, 109020, 198, 9458, 116581, 109421, 122740, 113598, 46034, 40265, 29295, 32977, 33503, 119841, 198, 9458, 29504, 70821, 8107, 35330, 16144, 107803, 103048, 21418, 29295, 101682, 76622, 102204, 100604, 198, 9458, 42016, 104157, 16144, 71634, 108744, 107407, 198, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 123410, 68408, 39850, 37823, 67075, 15682, 35417, 9554, 122521, 114475, 76622, 102204, 100604, 100909, 38641, 9174, 33563, 101662, 42506, 16144, 70203, 23187, 71289, 116581, 109421, 122740, 113598, 46034, 40265, 16144, 101682, 110698, 109518, 16144, 122282, 102052, 101083, 115351, 110226, 17701, 29295, 33655, 123671, 33541, 9174, 42016, 104157, 16144, 111656, 104503, 103760, 20230, 110226, 17701, 29295, 30591, 104984, 77693, 32977, 21601, 70203, 107001, 103846, 5486, 61633, 29295, 109215, 38641, 9174, 103350, 104983, 102052, 103760, 45829, 101083, 115351, 16556, 110226, 17701, 15682, 83747, 100604, 110115, 45736, 109518, 16144, 33563, 117126, 42506, 30512, 124237, 30297, 100909, 110276, 31431, 5486, 116581, 109421, 122740, 113598, 46034, 40265, 114475, 110698, 118765, 105908, 57903, 33541, 9174, 29504, 70821, 8107, 35330, 16144, 107803, 5486, 110226, 17701, 29295, 103167, 118145, 37087, 109518, 103048, 21418, 114475, 76622, 102204, 33541, 29295, 5486, 103350, 46729, 127331, 33503, 21105, 254, 19732, 101083, 115351, 36668, 16144, 110226, 17701, 32977, 21601, 70203, 107001, 105879, 111108, 106624, 26854, 31431, 33541, 9174, 50520, 111, 106624, 15682, 103760, 45829, 118006, 16144, 104654, 106382, 19732, 46034, 40265, 30512, 60596, 32307, 80631, 107, 35330, 54926, 41007, 198, 53900, 106759, 107118, 16995, 58942, 43511, 17792, 26854, 105879, 5486, 42016, 104157, 111848, 71634, 108744, 32977, 102404, 21990, 78434, 9174, 46729, 30926, 16144, 71289, 31431, 24273, 71289, 104654, 16144, 82973, 20230, 78525, 44971, 122291, 31431, 5486, 45829, 101662, 38144, 120332, 13393, 251, 16144, 121953, 32977, 101182, 123253, 9174, 51330, 104466, 113116, 28190, 113245, 109972, 106529, 29295, 103350, 46729, 127331, 33503, 119432, 68408, 39850, 37823, 67075, 121711, 33541, 9174, 14711, 51561, 103350, 46729, 127331, 33503, 67016, 83812, 225, 110726, 32149, 198, 71689, 30512, 119870, 17129, 107290, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 123410, 32149, 78698, 105262, 120098, 15682, 34617, 59739, 57903, 33541, 9174, 9458, 46456, 20834, 40452, 106556, 198, 9458, 106759, 110792, 116690, 198, 9458, 127032, 16144, 8107, 106036, 95, 198, 103350, 46729, 127331, 124949, 30512, 112990, 101682, 76622, 18655, 110615, 100909, 16144, 127181, 116581, 109421, 122740, 113598, 46034, 40265, 119627, 5486, 112624, 109518, 101682, 110698, 72661, 44597, 32307, 108680, 16556, 5486, 46729, 83812, 225, 20230, 33420, 105262, 35330, 109518, 38641, 9174, 33563, 101662, 42506, 29295, 45736, 47884, 109020, 104468, 25963, 97049, 116581, 103296, 16556, 5486, 34617, 97049, 23897, 104989, 15682, 81191, 20713, 68093, 8107, 78250, 9953, 55031, 37087, 101083, 115351, 16556, 92693, 115717, 33541, 9174, 29504, 70821, 8107, 35330, 16144, 126513, 114565, 34617, 27113, 110895, 16556, 121410, 9953, 845, 11, 13679, 35757, 29295, 102404, 21990, 78434, 29295, 198, 59739, 109709, 35330, 103842, 255, 28190, 113245, 109606, 15682, 5486, 104654, 106382, 125001, 126910, 32149, 117295, 32149, 102677, 100909, 38641, 9174, 108936, 109904, 103760, 45829, 101083, 115351, 16144, 104654, 106382, 15682, 20713, 44597, 32307, 56040, 20713, 66224, 32307, 38641, 9174, 124108, 106382, 30512, 30297, 17129, 47884, 21403, 232, 114485, 103082, 104984, 108031, 114715, 89783, 116664, 32977, 21990 ]
[ 123606, 33541, 9174, 50520, 111, 106624, 15682, 107792, 103664, 8239, 114503, 16144, 126574, 124108, 106382, 16144, 17297, 102639, 24273, 123011, 62004, 198, 116581, 109421, 122740, 113598, 46034, 40265, 19732, 116581, 109421, 46034, 40265, 16556, 111983, 105262, 105494, 30512, 66870, 126145, 9953, 78250, 32307, 108680, 104654, 106382, 30512, 24615, 120, 104699, 109215, 115991, 33541, 9174, 122270, 121410, 9953, 34617, 32307, 108680, 113598, 101662, 106382, 114475, 76622, 18655, 104028, 19732, 5486, 80631, 107, 35330, 54926, 89783, 116664, 32977, 21990, 123606, 33541, 9174, 103760, 45829, 101083, 115351, 16144, 115274, 8107, 110226, 29295, 25963, 46702, 34617, 32307, 26854, 105879, 5486, 80631, 107, 35330, 109518, 15682, 121410, 9953, 34617, 56040, 44597, 32307, 29295, 30832, 105888, 125651, 9174, 106759, 110792, 116690, 29295, 103424, 53901, 105110, 104654, 28190, 71289, 101662, 116581, 114556, 39926, 104369, 59739, 117295, 115789, 83747, 100604, 123253, 9174, 127032, 16144, 8107, 106036, 95, 29295, 31809, 65316, 30297, 86614, 46729, 30926, 71289, 101662, 116581, 32977, 17620, 106529, 108608, 24273, 29295, 109972, 106529, 29295, 83747, 123733, 31431, 33541, 9174, 33563, 101662, 104674, 112197, 109169, 58942, 30512, 117943, 62004, 104984, 52591, 33710, 107507, 91062, 16556, 122502, 47884, 115789, 108608, 123253, 9174, 14711, 51561, 123011, 62004, 198, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 123410, 32149, 104405, 32149, 15682, 104654, 106382, 78250, 32307, 30512, 24615, 120, 104699, 113009, 115364, 104622, 61826, 27479, 30512, 116414, 20230, 22324, 47884, 32149, 102677, 100909, 115717, 33541, 9174, 113116, 109904, 111764, 32149, 5486, 46729, 30926, 101662, 116581, 16144, 109972, 106529, 117355, 114485, 32149, 9174, 85701, 15682, 17792, 113468, 108901, 109020, 15024, 5486, 127749, 32977, 82973, 19732, 107173, 20230, 104721, 33208, 109768, 50834, 33541, 9174, 86127, 32977, 119869, 15682, 103350, 46729, 16556, 127331, 33503, 39926, 127032, 112197, 109169, 58942, 30512, 117943, 104127, 16995, 79721, 29295, 5486, 36785, 102189, 25827, 115364, 82973, 71289, 35894, 56965, 29295, 111654, 106624, 26854, 31431, 5486, 114834, 30512, 108703, 31431, 79721, 9174, 101128, 102, 126559, 105110, 126843, 15682, 103350, 46729, 16556, 127331, 33503, 39926, 64121, 38144, 5486, 110924, 55031, 78698, 107290, 91774, 30369, 123017, 126521, 125651, 9174, 105994, 116907, 19732, 127032, 125030, 76947, 126521, 121507, 16144, 108608, 106592, 55228, 230, 76947, 61689, 9174, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 126198, 107803, 16144, 39850, 37823, 67075, 198, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 126198, 107803, 16144, 68408, 39850, 37823, 67075, 198, 110382, 30512, 48154, 111182, 120332, 15682, 5486, 103760, 45829, 118006, 71289, 121410, 9953, 16144, 46456, 20834, 16556, 101128, 102, 126559, 24273, 29295, 127181, 106046, 61689, 9174, 113598, 101662, 106382, 16144, 109311, 32018, 71289, 105184, 33563, 109853, 15682, 117896, 16144, 77219, 29295, 121846, 115717, 33541, 9174, 113598, 101662, 106382, 60868, 121057, 120690, 198, 46456, 20834, 30512, 114485, 33503, 17663, 102052, 124108, 106382, 55031, 91774, 74245, 17663, 112973, 15120, 87217, 16144, 60358, 45893, 38641, 9174, 127637, 114485, 33503, 17663, 105908, 103082, 104984, 106116, 8239, 114503, 116497, 104043, 106307, 47884, 55031, 38641, 9174, 21403, 232, 114485, 15024, 126172, 16995, 124108, 106382, 15682, 5486, 33563, 117126, 42506, 38641, 9174, 86127, 116907, 33563, 117126, 102571, 119627, 5486, 118823, 71289, 122202, 116044, 16556, 46729, 82420, 107218, 123, 30512, 26955, 251, 91774, 112990, 33563, 117126, 42506, 30512, 124237, 16995, 103188, 105557, 16144, 118006, 30512, 114652, 91774, 126929, 33541, 66327, 115364, 105465, 21105, 123, 30512, 114485, 33503, 17663, 105755, 5486, 33563, 117126, 42506, 104088, 74245, 56051, 24273, 29295, 103856, 16995, 110115, 31195, 111329, 19732, 127480, 29295, 106644, 16995, 114284, 123410, 115789, 9174, 102717, 76622, 25827, 16144, 82973, 105110, 5486, 72368, 40862, 16144, 126521, 9080, 39177, 9458, 116245, 16556, 33563, 117126, 16144, 92693, 50021, 111813, 29295, 125545, 9174, 109242, 9039, 16144, 33563, 117126, 30512, 121247, 30297, 113551, 72516, 26854, 105879, 5486, 126920, 40862, 100472, 33563, 117126, 30512, 106767, 17663, 105908, 125545, 9174, 118823, 77181, 106081, 70203, 16144, 118765, 47043, 107809, 20230, 5486, 126521, 102944, 29295, 91774, 59739, 117295, 115789, 57903, 33541, 9174, 53900, 5486, 50021, 111813, 56051, 55031, 102083, 76947, 59614, 101860, 33563, 117126, 20230, 118065, 21105, 103, 118145, 105110, 100604, 113334, 77181, 124897, 9174, 33563, 117126, 118065, 15682, 108446, 50928, 56051, 107803, 116771, 16556, 103424, 47884, 5486, 43568, 22649, 26854, 112167, 101275, 32977, 21105, 103, 102334, 62004, 51385, 64209, 39926, 17297, 65316, 9174, 102717, 76622, 25827, 16144, 82973, 77181, 115515, 105110, 92693, 50021, 111813, 54926, 121142, 33334, 73361, 71289, 45736, 104297, 104873, 103868, 42506, 29295, 32977, 33503, 105262, 107391, 16073, 99695, 107060, 103350, 102923, 16325, 38641, 9174, 95221, 108176, 24273, 15682, 5486, 112371, 104328, 116696, 48552, 39926, 64121, 38144, 17297, 65316, 1811, 128001, 128000, 108703, 35330, 16144, 101128, 102, 64121, 30512, 126419, 20230, 50338, 104662, 103801, 72342, 25827, 32149, 95532, 12, 119630, 27479, 72661, 92693, 50021, 111813, 4012, 198, 12, 105228, 29504, 117271, 198, 12, 107289, 16073, 118372, 28190, 111813, 32977, 88367, 198, 9953, 104680, 16144, 104196, 111587, 109518, 30512, 20, 32307, 52118, 17, 32307, 102416, 114485, 109518, 103082, 28713, 30926, 27452, 57903, 116564, 33334, 35330, 29295, 103470, 111243, 103963, 117943, 88367, 6447, 110758, 111813, 15682, 99849, 27479, 72661, 92693, 83639, 106649, 92776, 9080, 6447, 104196, 111587, 71634, 103830, 84499, 22656, 39850, 125380, 15682, 13870, 223, 106528, 101559, 122491, 9458, 110315, 19732, 65743, 25333, 102181, 101559, 122491, 64121, 59739, 105065, 118953, 107610, 16144, 119046, 103768, 112167, 38641, 198, 13177, 102099, 105150, 106518, 56051, 16995, 107493, 5486, 13870, 223, 106528, 101559, 106382, 11883, 29295, 124237, 119841, 1981, 111329, 13177, 27929, 32977, 27929, 32977, 13870, 223, 106528, 101559, 20230, 103963, 117943, 21105, 103, 16995, 19732, 99959, 39850, 126529, 91006, 198, 102099, 105150, 106518, 15682, 5486, 105994, 16556, 46034, 106307, 50834, 54926, 115789, 88367, 38641, 9174, 80673, 5486, 102099, 105150, 106518, 126198, 107707, 1954, 113127, 71689, 29295, 5486, 13870, 223, 106528, 101559, 123160, 114363, 103722, 46729, 20230, 103963, 117943, 127145, 59459, 102433, 13870, 223, 106528, 101559, 89046, 40862, 38093, 104873, 103854, 23954, 45736, 109518, 26854, 78943, 100845, 105, 30512, 46456, 124237, 76947, 72661, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 114667, 107118, 99849, 123253, 32149, 95532, 51330, 77219, 77181, 5486, 102099, 105150, 106518, 46034, 106307, 50834, 16556, 13870, 223, 106528, 101559, 29295, 109215, 26854, 114667, 71289, 95221, 108176, 13870, 223, 106528, 101559, 106382, 11883, 5486, 115143, 102052, 13870, 223, 106528, 101559, 16144, 106767, 15024, 24273, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 102099, 105150, 106518, 16144, 13870, 223, 106528, 101559, 106382, 11883, 16144, 50021, 75267, 15682, 103664, 508, 110743, 21909, 1135, 110743, 38641, 9174, 85701, 103378, 45736, 109518, 26854, 106382, 11883, 105352, 97518, 78183, 121140, 5486, 102099, 105150, 106518, 126198, 107707, 103664, 5833, 113127, 29295, 13870, 223, 106528, 101559, 20230, 103963, 117943, 127145, 59459, 102433, 13870, 223, 106528, 101559, 89046, 40862, 38093, 104873, 103854, 23954, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 114667, 30512, 27384, 17129, 111201, 123680, 102639, 104533, 88852, 16144, 19732, 108086, 38641, 9174, 22398, 70563, 114228, 57183, 11972, 16556, 105184, 103350, 20230, 103048, 113160, 29295, 104736, 62004, 110071, 198, 46034, 56965, 29295, 66870, 105784, 198, 20251, 108337, 114615, 106382, 11883, 29295, 51385, 47884, 109020, 107803, 32977, 101182, 198, 126843, 15682, 5486, 13870, 223, 106528, 101559, 106382, 11883, 19732, 58426, 32943, 117735, 55031, 33334, 87177, 15024, 109768, 50834, 33541, 9174, 30832, 33671, 510, 66776, 52563, 933, 13177, 126843, 15682, 108703, 35330, 29295, 114485, 109518, 108608, 32149, 53283, 31431, 106956, 59712, 114363, 103722, 46729, 20230, 50021, 111813, 54926, 104468, 114715, 103856, 118544, 32977, 1981, 111329, 107943, 24273, 15682, 126843, 108703, 35330, 114485, 109518, 57207, 119263, 44971, 120770, 16556, 5486, 108703, 35330, 30512, 114485, 109518, 108608, 32149, 120761, 64889, 39926, 64121, 17129, 109954, 9174, 120761, 64889, 15682, 92693, 5486, 13773, 123, 13372, 16556, 107740, 125545, 9174, 102099, 105150, 106518, 109853, 15682, 88852, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 127145, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 112649, 117295, 13870, 223, 106528, 101559, 106382, 11883, 16144, 50021, 75267, 15682, 103664, 508, 21909, 1135, 110743, 38641, 9174, 42506, 35330, 20230, 87447, 50834, 107407, 104468, 5486, 117120, 17620, 54926, 112686, 106518, 30512, 16995, 47884, 59739, 32977, 69978, 103836, 126513, 46034, 106307, 50834, 29295, 109242, 122202, 108176, 103846, 38641, 9174, 13870, 223, 106528, 101559, 123357, 32938, 113468, 115251, 16144, 121953, 15682, 30591, 114598, 5486, 16937, 40265, 20230, 45736, 47884, 109311, 32018, 107001, 102677, 64209, 55487, 15682, 124897, 9174, 13870, 223, 106528, 101559, 123357, 32938, 113468, 108901, 26854, 31431, 33541, 29295, 5486, 32943, 117735, 15682, 88852, 16144, 19732, 108086, 38641, 9174, 91, 32943, 117735, 198, 91, 44915, 198, 91, 35330, 109518, 7, 30832, 51385, 340, 91, 50021, 111813, 42506, 198, 91, 13870, 223, 106528, 101559, 20230, 102099, 105150, 106518, 16144, 50021, 111813, 126198, 126101, 102404, 21990, 54926, 106382, 11883, 198, 91, 15, 21909, 16, 110743, 198, 91, 100815, 46034, 35330, 198, 91, 103963, 117943, 126101, 102404, 21990, 54926, 106382, 11883, 7, 19653, 21388, 113529, 15682, 116690, 100604, 340, 91, 508, 32307, 21909, 966, 110743, 198, 91, 19653, 78943, 100845, 105, 198, 91, 103048, 113160, 110008, 31540, 30512, 50928, 38144, 5486, 108703, 35330, 29295, 123733, 100472, 107803, 20230, 46456, 124237, 30297, 198, 91, 15, 21909, 966, 110743, 198, 13870, 223, 106528, 101559, 106382, 11883, 15682, 104662, 39926, 51385, 16995, 102944, 77181, 124897, 9174, 77693, 26854, 110115, 104405, 39926, 5486, 102099, 105150, 106518, 126198, 107707, 43240, 47884, 29295, 13870, 223, 106528, 101559, 20230, 103963, 117943, 103792, 105879, 109954, 32149, 95532, 122582, 126574, 106382, 11883, 30512, 46456, 124237, 76947, 72661, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 39850, 37823, 67075, 107407, 55031, 38641, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 30512, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 39850, 37823, 67075, 15682, 88852, 16144, 19732, 108086, 38641, 9174, 77693, 108422, 33121, 50520, 111, 106624, 33334, 87177, 15024, 109768, 50834, 33541, 9174, 114940, 106053, 32938, 20230, 102099, 105150, 106518, 16144, 102782, 109311, 10110, 37656, 106624, 15682, 13177, 102782, 80195, 66383, 16995, 61689, 7705, 54926, 102052, 5486, 88852, 16144, 19732, 108086, 104735, 101, 27384, 26854, 102181, 104770, 126694, 13153, 54926, 109215, 115991, 33541, 9174, 91, 102181, 104770, 16144, 107963, 31634, 198, 91, 102181, 104770, 13372, 198, 91, 102099, 105150, 106518, 30512, 102782, 15024, 121697, 30369, 102181, 104770, 198, 91, 102782, 80195, 102181, 198, 91, 102099, 105150, 106518, 20230, 57237, 30369, 106613, 100783, 107, 104309, 30512, 122984, 54926, 102181, 104770, 198, 91, 118741, 43032, 102181, 198, 91, 101987, 104157, 123863, 102181, 104770, 198, 91, 83812, 225, 110726, 108703, 120273, 103664, 102181, 9458, 16937, 91875, 106518, 29741, 61304, 107218, 123, 105037, 226, 22656, 9458, 126783, 38129, 110008, 31540, 102181, 198, 91, 112686, 106518, 123863, 102181, 104770, 198, 91, 112686, 106518, 30832, 108565, 198, 91, 110226, 17701, 123863, 102181, 104770, 198, 91, 110698, 58318, 31958, 104398, 102181, 9458, 39084, 109026, 17599, 112, 110226, 95544, 9458, 111681, 85188, 110322, 31958, 102181, 9458, 8107, 35330, 123160, 101682, 110698, 110322, 31958, 102181, 9458, 105184, 23187, 102782, 58655, 102181, 9458, 42016, 104157, 107707, 110698, 58318, 31958, 104398, 102181, 14, 39084, 109026, 17599, 112, 110226, 95544, 9458, 56906, 107430, 35330, 46456, 110698, 31958, 104398, 102181, 9458, 56906, 107430, 35330, 106045, 23187, 198, 91, 104157, 101987, 30590, 71289, 109076, 108847, 123863, 102181, 104770, 198, 91, 109076, 108847, 105037, 226, 22656, 9458, 101987, 70821, 95544, 198, 91, 112686, 106518, 123863, 102944, 198, 91, 16937, 91875, 106518, 29741, 61304, 107218, 123, 105037, 226, 22656, 9458, 124108, 103087, 106518, 107624, 95001, 110322, 31958, 102181, 9458, 111681, 85188, 55038, 13821, 111, 20230, 61304, 107121, 119703, 100909, 16144, 110322, 31958, 102181, 9458, 42634, 107060, 108618, 45736, 110322, 31958, 102181, 9458, 118958, 33563, 117126, 110322, 102181, 9458, 101918, 111800, 110322, 9458, 101918, 110176, 16144, 105525, 105368, 112984, 23187, 102181, 9458, 113838, 35330, 33035, 13821, 111, 9458, 102208, 104091, 110322, 102181, 9458, 110322, 31958, 102181, 104770, 198, 91, 101427, 113, 102781, 10110, 108703, 35330, 7705, 123863, 102181, 104770, 198, 91, 101427, 113, 112607, 30046, 124720, 21405, 9458, 73597, 252, 108446, 35417, 111738, 35417, 111681, 124720, 21405, 198, 67645, 16144, 102181, 104770, 29295, 109215, 32149, 15682, 30591, 112568, 16144, 127749, 113468, 108901, 26854, 31431, 33541, 9174, 112686, 106518, 123863, 102181, 104770, 71289, 106613, 100783, 107, 104309, 30512, 122984, 54926, 102181, 104770, 15682, 5486, 102099, 105150, 106518, 46034, 106307, 50834, 105110, 77181, 16144, 109215, 102181, 104770, 38641, 109807, 103846, 102181, 50834, 24273, 102052, 114392, 61633, 21105, 103, 118145, 16995, 76622, 107515, 9174, 114715, 72661, 102181, 104770, 20230, 16937, 104874, 107407, 19732, 114940, 106053, 32938, 55031, 71289, 31431, 74245, 15024, 30512, 51609, 100204, 102204, 5486, 89783, 82420, 26854, 46034, 56965, 105352, 59739, 105722, 31431, 33541, 9174, 13870, 223, 106528, 101559, 20230, 103963, 117943, 126693, 5486, 109215, 117282, 102181, 104770, 71289, 102181, 50834, 24273, 15682, 109809, 53283, 127662, 116497, 38641, 9174, 102782, 80195, 102181, 71289, 118741, 43032, 102181, 104309, 111108, 50338, 26854, 102181, 104770, 15682, 13870, 223, 106528, 101559, 29295, 102181, 50834, 24273, 30512, 100927, 107290, 122396, 31431, 5486, 61304, 17701, 39926, 122396 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 123606, 33541, 9174, 50520, 111, 106624, 15682, 107792, 103664, 8239, 114503, 16144, 126574, 124108, 106382, 16144, 17297, 102639, 24273, 123011, 62004, 198, 116581, 109421, 122740, 113598, 46034, 40265, 19732, 116581, 109421, 46034, 40265, 16556, 111983, 105262, 105494, 30512, 66870, 126145, 9953, 78250, 32307, 108680, 104654, 106382, 30512, 24615, 120, 104699, 109215, 115991, 33541, 9174, 122270, 121410, 9953, 34617, 32307, 108680, 113598, 101662, 106382, 114475, 76622, 18655, 104028, 19732, 5486, 80631, 107, 35330, 54926, 89783, 116664, 32977, 21990, 123606, 33541, 9174, 103760, 45829, 101083, 115351, 16144, 115274, 8107, 110226, 29295, 25963, 46702, 34617, 32307, 26854, 105879, 5486, 80631, 107, 35330, 109518, 15682, 121410, 9953, 34617, 56040, 44597, 32307, 29295, 30832, 105888, 125651, 9174, 106759, 110792, 116690, 29295, 103424, 53901, 105110, 104654, 28190, 71289, 101662, 116581, 114556, 39926, 104369, 59739, 117295, 115789, 83747, 100604, 123253, 9174, 127032, 16144, 8107, 106036, 95, 29295, 31809, 65316, 30297, 86614, 46729, 30926, 71289, 101662, 116581, 32977, 17620, 106529, 108608, 24273, 29295, 109972, 106529, 29295, 83747, 123733, 31431, 33541, 9174, 33563, 101662, 104674, 112197, 109169, 58942, 30512, 117943, 62004, 104984, 52591, 33710, 107507, 91062, 16556, 122502, 47884, 115789, 108608, 123253, 9174, 14711, 51561, 123011, 62004, 198, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 123410, 32149, 104405, 32149, 15682, 104654, 106382, 78250, 32307, 30512, 24615, 120, 104699, 113009, 115364, 104622, 61826, 27479, 30512, 116414, 20230, 22324, 47884, 32149, 102677, 100909, 115717, 33541, 9174, 113116, 109904, 111764, 32149, 5486, 46729, 30926, 101662, 116581, 16144, 109972, 106529, 117355, 114485, 32149, 9174, 85701, 15682, 17792, 113468, 108901, 109020, 15024, 5486, 127749, 32977, 82973, 19732, 107173, 20230, 104721, 33208, 109768, 50834, 33541, 9174, 86127, 32977, 119869, 15682, 103350, 46729, 16556, 127331, 33503, 39926, 127032, 112197, 109169, 58942, 30512, 117943, 104127, 16995, 79721, 29295, 5486, 36785, 102189, 25827, 115364, 82973, 71289, 35894, 56965, 29295, 111654, 106624, 26854, 31431, 5486, 114834, 30512, 108703, 31431, 79721, 9174, 101128, 102, 126559, 105110, 126843, 15682, 103350, 46729, 16556, 127331, 33503, 39926, 64121, 38144, 5486, 110924, 55031, 78698, 107290, 91774, 30369, 123017, 126521, 125651, 9174, 105994, 116907, 19732, 127032, 125030, 76947, 126521, 121507, 16144, 108608, 106592, 55228, 230, 76947, 61689, 9174, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 126198, 107803, 16144, 39850, 37823, 67075, 198, 57207, 120397, 68759, 119534, 29295, 103350, 46729, 127331, 124949, 126198, 107803, 16144, 68408, 39850, 37823, 67075, 198, 110382, 30512, 48154, 111182, 120332, 15682, 5486, 103760, 45829, 118006, 71289, 121410, 9953, 16144, 46456, 20834, 16556, 101128, 102, 126559, 24273, 29295, 127181, 106046, 61689, 9174, 113598, 101662, 106382, 16144, 109311, 32018, 71289, 105184, 33563, 109853, 15682, 117896, 16144, 77219, 29295, 121846, 115717, 33541, 9174, 113598, 101662, 106382, 60868, 121057, 120690, 198, 46456, 20834, 30512, 114485, 33503, 17663, 102052, 124108, 106382, 55031, 91774, 74245, 17663, 112973, 15120, 87217, 16144, 60358, 45893, 38641, 9174, 127637, 114485, 33503, 17663, 105908, 103082, 104984, 106116, 8239, 114503, 116497, 104043, 106307, 47884, 55031, 38641, 9174, 21403, 232, 114485, 15024, 126172, 16995, 124108, 106382, 15682, 5486, 33563, 117126, 42506, 38641, 9174, 86127, 116907, 33563, 117126, 102571, 119627, 5486, 118823, 71289, 122202, 116044, 16556, 46729, 82420, 107218, 123, 30512, 26955, 251, 91774, 112990, 33563, 117126, 42506, 30512, 124237, 16995, 103188, 105557, 16144, 118006, 30512, 114652, 91774, 126929, 33541, 66327, 115364, 105465, 21105, 123, 30512, 114485, 33503, 17663, 105755, 5486, 33563, 117126, 42506, 104088, 74245, 56051, 24273, 29295, 103856, 16995, 110115, 31195, 111329, 19732, 127480, 29295, 106644, 16995, 114284, 123410, 115789, 9174, 102717, 76622, 25827, 16144, 82973, 105110, 5486, 72368, 40862, 16144, 126521, 9080, 39177, 9458, 116245, 16556, 33563, 117126, 16144, 92693, 50021, 111813, 29295, 125545, 9174, 109242, 9039, 16144, 33563, 117126, 30512, 121247, 30297, 113551, 72516, 26854, 105879, 5486, 126920, 40862, 100472, 33563, 117126, 30512, 106767, 17663, 105908, 125545, 9174, 118823, 77181, 106081, 70203, 16144, 118765, 47043, 107809, 20230, 5486, 126521, 102944, 29295, 91774, 59739, 117295, 115789, 57903, 33541, 9174, 53900, 5486, 50021, 111813, 56051, 55031, 102083, 76947, 59614, 101860, 33563, 117126, 20230, 118065, 21105, 103, 118145, 105110, 100604, 113334, 77181, 124897, 9174, 33563, 117126, 118065, 15682, 108446, 50928, 56051, 107803, 116771, 16556, 103424, 47884, 5486, 43568, 22649, 26854, 112167, 101275, 32977, 21105, 103, 102334, 62004, 51385, 64209, 39926, 17297, 65316, 9174, 102717, 76622, 25827, 16144, 82973, 77181, 115515, 105110, 92693, 50021, 111813, 54926, 121142, 33334, 73361, 71289, 45736, 104297, 104873, 103868, 42506, 29295, 32977, 33503, 105262, 107391, 16073, 99695, 107060, 103350, 102923, 16325, 38641, 9174, 95221, 108176, 24273, 15682, 5486, 112371, 104328, 116696, 48552, 39926, 64121, 38144, 17297, 65316, 1811, 128001, 128000, 108703, 35330, 16144, 101128, 102, 64121, 30512, 126419, 20230, 50338, 104662, 103801, 72342, 25827, 32149, 95532, 12, 119630, 27479, 72661, 92693, 50021, 111813, 4012, 198, 12, 105228, 29504, 117271, 198, 12, 107289, 16073, 118372, 28190, 111813, 32977, 88367, 198, 9953, 104680, 16144, 104196, 111587, 109518, 30512, 20, 32307, 52118, 17, 32307, 102416, 114485, 109518, 103082, 28713, 30926, 27452, 57903, 116564, 33334, 35330, 29295, 103470, 111243, 103963, 117943, 88367, 6447, 110758, 111813, 15682, 99849, 27479, 72661, 92693, 83639, 106649, 92776, 9080, 6447, 104196, 111587, 71634, 103830, 84499, 22656, 39850, 125380, 15682, 13870, 223, 106528, 101559, 122491, 9458, 110315, 19732, 65743, 25333, 102181, 101559, 122491, 64121, 59739, 105065, 118953, 107610, 16144, 119046, 103768, 112167, 38641, 198, 13177, 102099, 105150, 106518, 56051, 16995, 107493, 5486, 13870, 223, 106528, 101559, 106382, 11883, 29295, 124237, 119841, 1981, 111329, 13177, 27929, 32977, 27929, 32977, 13870, 223, 106528, 101559, 20230, 103963, 117943, 21105, 103, 16995, 19732, 99959, 39850, 126529, 91006, 198, 102099, 105150, 106518, 15682, 5486, 105994, 16556, 46034, 106307, 50834, 54926, 115789, 88367, 38641, 9174, 80673, 5486, 102099, 105150, 106518, 126198, 107707, 1954, 113127, 71689, 29295, 5486, 13870, 223, 106528, 101559, 123160, 114363, 103722, 46729, 20230, 103963, 117943, 127145, 59459, 102433, 13870, 223, 106528, 101559, 89046, 40862, 38093, 104873, 103854, 23954, 45736, 109518, 26854, 78943, 100845, 105, 30512, 46456, 124237, 76947, 72661, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 114667, 107118, 99849, 123253, 32149, 95532, 51330, 77219, 77181, 5486, 102099, 105150, 106518, 46034, 106307, 50834, 16556, 13870, 223, 106528, 101559, 29295, 109215, 26854, 114667, 71289, 95221, 108176, 13870, 223, 106528, 101559, 106382, 11883, 5486, 115143, 102052, 13870, 223, 106528, 101559, 16144, 106767, 15024, 24273, 109853, 50338, 108323, 109768, 50834, 33541, 9174, 102099, 105150, 106518, 16144, 13870, 223, 106528, 101559, 106382, 11883, 16144, 50021, 75267, 15682, 103664, 508, 110743, 21909, 1135, 110743, 38641, 9174, 85701, 103378, 45736, 109518, 26854, 106382, 11883, 105352, 97518, 78183, 121140, 5486, 102099, 105150, 106518, 126198, 107707, 103664, 5833, 113127, 29295, 13870, 223, 106528, 101559, 20230, 103963, 117943, 127145, 59459, 102433, 13870, 223, 106528, 101559, 89046, 40862, 38093, 104873, 103854, 23954, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 114667, 30512, 27384, 17129, 111201, 123680, 102639, 104533, 88852, 16144, 19732, 108086, 38641, 9174, 22398, 70563, 114228, 57183, 11972, 16556, 105184, 103350, 20230, 103048, 113160, 29295, 104736, 62004, 110071, 198, 46034, 56965, 29295, 66870, 105784, 198, 20251, 108337, 114615, 106382, 11883, 29295, 51385, 47884, 109020, 107803, 32977, 101182, 198, 126843, 15682, 5486, 13870, 223, 106528, 101559, 106382, 11883, 19732, 58426, 32943, 117735, 55031, 33334, 87177, 15024, 109768, 50834, 33541, 9174, 30832, 33671, 510, 66776, 52563, 933, 13177, 126843, 15682, 108703, 35330, 29295, 114485, 109518, 108608, 32149, 53283, 31431, 106956, 59712, 114363, 103722, 46729, 20230, 50021, 111813, 54926, 104468, 114715, 103856, 118544, 32977, 1981, 111329, 107943, 24273, 15682, 126843, 108703, 35330, 114485, 109518, 57207, 119263, 44971, 120770, 16556, 5486, 108703, 35330, 30512, 114485, 109518, 108608, 32149, 120761, 64889, 39926, 64121, 17129, 109954, 9174, 120761, 64889, 15682, 92693, 5486, 13773, 123, 13372, 16556, 107740, 125545, 9174, 102099, 105150, 106518, 109853, 15682, 88852, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 127145, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 112649, 117295, 13870, 223, 106528, 101559, 106382, 11883, 16144, 50021, 75267, 15682, 103664, 508, 21909, 1135, 110743, 38641, 9174, 42506, 35330, 20230, 87447, 50834, 107407, 104468, 5486, 117120, 17620, 54926, 112686, 106518, 30512, 16995, 47884, 59739, 32977, 69978, 103836, 126513, 46034, 106307, 50834, 29295, 109242, 122202, 108176, 103846, 38641, 9174, 13870, 223, 106528, 101559, 123357, 32938, 113468, 115251, 16144, 121953, 15682, 30591, 114598, 5486, 16937, 40265, 20230, 45736, 47884, 109311, 32018, 107001, 102677, 64209, 55487, 15682, 124897, 9174, 13870, 223, 106528, 101559, 123357, 32938, 113468, 108901, 26854, 31431, 33541, 29295, 5486, 32943, 117735, 15682, 88852, 16144, 19732, 108086, 38641, 9174, 91, 32943, 117735, 198, 91, 44915, 198, 91, 35330, 109518, 7, 30832, 51385, 340, 91, 50021, 111813, 42506, 198, 91, 13870, 223, 106528, 101559, 20230, 102099, 105150, 106518, 16144, 50021, 111813, 126198, 126101, 102404, 21990, 54926, 106382, 11883, 198, 91, 15, 21909, 16, 110743, 198, 91, 100815, 46034, 35330, 198, 91, 103963, 117943, 126101, 102404, 21990, 54926, 106382, 11883, 7, 19653, 21388, 113529, 15682, 116690, 100604, 340, 91, 508, 32307, 21909, 966, 110743, 198, 91, 19653, 78943, 100845, 105, 198, 91, 103048, 113160, 110008, 31540, 30512, 50928, 38144, 5486, 108703, 35330, 29295, 123733, 100472, 107803, 20230, 46456, 124237, 30297, 198, 91, 15, 21909, 966, 110743, 198, 13870, 223, 106528, 101559, 106382, 11883, 15682, 104662, 39926, 51385, 16995, 102944, 77181, 124897, 9174, 77693, 26854, 110115, 104405, 39926, 5486, 102099, 105150, 106518, 126198, 107707, 43240, 47884, 29295, 13870, 223, 106528, 101559, 20230, 103963, 117943, 103792, 105879, 109954, 32149, 95532, 122582, 126574, 106382, 11883, 30512, 46456, 124237, 76947, 72661, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 39850, 37823, 67075, 107407, 55031, 38641, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 30512, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 39850, 37823, 67075, 15682, 88852, 16144, 19732, 108086, 38641, 9174, 77693, 108422, 33121, 50520, 111, 106624, 33334, 87177, 15024, 109768, 50834, 33541, 9174, 114940, 106053, 32938, 20230, 102099, 105150, 106518, 16144, 102782, 109311, 10110, 37656, 106624, 15682, 13177, 102782, 80195, 66383, 16995, 61689, 7705, 54926, 102052, 5486, 88852, 16144, 19732, 108086, 104735, 101, 27384, 26854, 102181, 104770, 126694, 13153, 54926, 109215, 115991, 33541, 9174, 91, 102181, 104770, 16144, 107963, 31634, 198, 91, 102181, 104770, 13372, 198, 91, 102099, 105150, 106518, 30512, 102782, 15024, 121697, 30369, 102181, 104770, 198, 91, 102782, 80195, 102181, 198, 91, 102099, 105150, 106518, 20230, 57237, 30369, 106613, 100783, 107, 104309, 30512, 122984, 54926, 102181, 104770, 198, 91, 118741, 43032, 102181, 198, 91, 101987, 104157, 123863, 102181, 104770, 198, 91, 83812, 225, 110726, 108703, 120273, 103664, 102181, 9458, 16937, 91875, 106518, 29741, 61304, 107218, 123, 105037, 226, 22656, 9458, 126783, 38129, 110008, 31540, 102181, 198, 91, 112686, 106518, 123863, 102181, 104770, 198, 91, 112686, 106518, 30832, 108565, 198, 91, 110226, 17701, 123863, 102181, 104770, 198, 91, 110698, 58318, 31958, 104398, 102181, 9458, 39084, 109026, 17599, 112, 110226, 95544, 9458, 111681, 85188, 110322, 31958, 102181, 9458, 8107, 35330, 123160, 101682, 110698, 110322, 31958, 102181, 9458, 105184, 23187, 102782, 58655, 102181, 9458, 42016, 104157, 107707, 110698, 58318, 31958, 104398, 102181, 14, 39084, 109026, 17599, 112, 110226, 95544, 9458, 56906, 107430, 35330, 46456, 110698, 31958, 104398, 102181, 9458, 56906, 107430, 35330, 106045, 23187, 198, 91, 104157, 101987, 30590, 71289, 109076, 108847, 123863, 102181, 104770, 198, 91, 109076, 108847, 105037, 226, 22656, 9458, 101987, 70821, 95544, 198, 91, 112686, 106518, 123863, 102944, 198, 91, 16937, 91875, 106518, 29741, 61304, 107218, 123, 105037, 226, 22656, 9458, 124108, 103087, 106518, 107624, 95001, 110322, 31958, 102181, 9458, 111681, 85188, 55038, 13821, 111, 20230, 61304, 107121, 119703, 100909, 16144, 110322, 31958, 102181, 9458, 42634, 107060, 108618, 45736, 110322, 31958, 102181, 9458, 118958, 33563, 117126, 110322, 102181, 9458, 101918, 111800, 110322, 9458, 101918, 110176, 16144, 105525, 105368, 112984, 23187, 102181, 9458, 113838, 35330, 33035, 13821, 111, 9458, 102208, 104091, 110322, 102181, 9458, 110322, 31958, 102181, 104770, 198, 91, 101427, 113, 102781, 10110, 108703, 35330, 7705, 123863, 102181, 104770, 198, 91, 101427, 113, 112607, 30046, 124720, 21405, 9458, 73597, 252, 108446, 35417, 111738, 35417, 111681, 124720, 21405, 198, 67645, 16144, 102181, 104770, 29295, 109215, 32149, 15682, 30591, 112568, 16144, 127749, 113468, 108901, 26854, 31431, 33541, 9174, 112686, 106518, 123863, 102181, 104770, 71289, 106613, 100783, 107, 104309, 30512, 122984, 54926, 102181, 104770, 15682, 5486, 102099, 105150, 106518, 46034, 106307, 50834, 105110, 77181, 16144, 109215, 102181, 104770, 38641, 109807, 103846, 102181, 50834, 24273, 102052, 114392, 61633, 21105, 103, 118145, 16995, 76622, 107515, 9174, 114715, 72661, 102181, 104770, 20230, 16937, 104874, 107407, 19732, 114940, 106053, 32938, 55031, 71289, 31431, 74245, 15024, 30512, 51609, 100204, 102204, 5486, 89783, 82420, 26854, 46034, 56965, 105352, 59739, 105722, 31431, 33541, 9174, 13870, 223, 106528, 101559, 20230, 103963, 117943, 126693, 5486, 109215, 117282, 102181, 104770, 71289, 102181, 50834, 24273, 15682, 109809, 53283, 127662, 116497, 38641, 9174, 102782, 80195, 102181, 71289, 118741, 43032, 102181, 104309, 111108, 50338, 26854, 102181, 104770, 15682, 13870, 223, 106528, 101559, 29295, 102181, 50834, 24273, 30512, 100927, 107290, 122396, 31431, 5486, 61304, 17701, 39926, 122396 ]
[ 31431, 54926, 105879, 22398, 91062, 106240, 20230, 103130, 64121, 33541, 9174, 102099, 105150, 106518, 20230, 109215, 26854, 102181, 104770, 15682, 88852, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 127145, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 102052, 5486, 114940, 106053, 32938, 117158, 120998, 39926, 5486, 108703, 35330, 16144, 114667, 71289, 106613, 100783, 107, 30512, 104655, 32149, 104028, 117859, 124118, 102677, 102944, 115991, 33541, 9174, 124572, 20230, 30591, 112568, 16144, 108703, 35330, 16144, 114667, 29295, 104603, 68581, 16073, 112193, 71289, 114115, 106382, 102083, 100472, 107803, 5486, 114940, 106053, 32938, 15682, 103048, 113160, 16937, 110008, 31540, 30926, 68171, 20230, 30591, 28713, 30369, 103306, 5486, 103048, 113160, 30512, 110008, 31540, 39926, 47884, 110615, 126465, 115991, 33541, 9174, 13870, 223, 106528, 101559, 15682, 114940, 106053, 32938, 117758, 117859, 124118, 113115, 39926, 103899, 13870, 223, 30512, 113551, 16556, 23039, 76947, 120700, 33541, 9174, 46729, 71289, 101918, 104309, 111419, 16144, 112686, 106518, 16144, 101182, 114754, 102099, 105150, 106518, 123410, 107803, 5486, 36651, 112686, 58721, 102677, 46034, 106307, 50834, 83799, 107328, 115717, 106116, 104983, 16144, 114940, 106053, 32938, 111363, 106382, 11883, 15682, 32335, 103167, 72661, 1135, 110743, 115717, 33541, 9174, 80673, 13870, 223, 106528, 101559, 20230, 103963, 117943, 109768, 104984, 5486, 83747, 109518, 36651, 112686, 58721, 102677, 46034, 106307, 50834, 83799, 107328, 20230, 60634, 23039, 15024, 5486, 106382, 11883, 32977, 508, 110743, 113314, 38641, 64121, 33541, 9174, 111419, 71689, 16144, 112686, 106518, 30512, 56438, 103792, 17792, 125030, 76947, 5486, 13870, 223, 106528, 101559, 111363, 103963, 117943, 15682, 109215, 109947, 124490, 102083, 76947, 104712, 123253, 9174, 13870, 223, 106528, 101559, 20230, 102099, 105150, 106518, 46034, 106307, 50834, 16144, 103963, 117943, 30512, 112990, 5486, 110726, 35330, 101275, 30046, 123160, 101427, 113, 112607, 30046, 20230, 13177, 101682, 49988, 58655, 53283, 66383, 95604, 114397, 102181, 30512, 37705, 47000, 78434, 9174, 101682, 49988, 114397, 102052, 25333, 109904, 126120, 48634, 115991, 5486, 101427, 113, 112607, 30046, 15682, 30591, 112568, 20230, 109467, 117384, 71289, 37, 3027, 123160, 89046, 117139, 29295, 121019, 103082, 123733, 31431, 33541, 9174, 58426, 103846, 5486, 108167, 121697, 71289, 106978, 113096, 29295, 71634, 103830, 78434, 15024, 5486, 103350, 105284, 108703, 35330, 16144, 104196, 111587, 123410, 109215, 32977, 123733, 31431, 33541, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 16556, 103048, 113160, 30512, 50928, 110071, 17129, 77181, 83747, 103470, 107173, 18, 32149, 9953, 15682, 32149, 107277, 33541, 9174, 101682, 49988, 114397, 15682, 102099, 105150, 106518, 46034, 106307, 50834, 107809, 16556, 27384, 112495, 107734, 111017, 30512, 28873, 28713, 17663, 46034, 106307, 50834, 102083, 76947, 104712, 123253, 9174, 108703, 35330, 16144, 101128, 102, 64121, 30512, 50338, 104662, 54926, 102052, 36896, 49988, 37689, 64531, 22649, 10646, 71289, 13177, 121568, 88356, 21990, 10646, 104309, 102099, 105150, 106518, 116749, 16144, 46034, 38574, 32977, 57903, 33541, 9174, 102099, 105150, 106518, 15682, 5486, 122617, 16144, 108703, 35330, 29295, 108270, 42634, 108176, 15120, 24273, 16556, 5486, 111419, 16144, 112686, 106518, 15682, 72027, 110226, 84389, 33541, 15024, 5486, 33563, 110322, 17792, 20230, 109440, 115461, 119707, 107441, 103801, 61689, 9174, 101427, 113, 102781, 64531, 22649, 20230, 50520, 111, 102800, 13870, 223, 106528, 101559, 127303, 104984, 115515, 16144, 30591, 112568, 29295, 22324, 32149, 115032, 127749, 20230, 32335, 109431, 26854, 50338, 104662, 41007, 30512, 29172, 81742, 39926, 124089, 105908, 57903, 33541, 9174, 13177, 102099, 105150, 106518, 123410, 116537, 13870, 223, 106528, 101559, 106382, 11883, 30512, 104405, 125338, 124237, 103836, 16144, 91006, 198, 102099, 105150, 106518, 30512, 21105, 103, 118145, 16995, 124324, 127749, 26854, 110115, 5486, 123011, 117864, 33334, 35330, 30512, 11883, 37689, 54926, 104468, 112825, 110904, 77181, 124897, 9174, 30591, 112568, 19732, 112361, 105933, 127749, 105352, 97518, 78183, 121140, 5486, 103350, 104983, 20230, 102099, 105150, 106518, 126198, 116537, 67645, 119775, 13870, 223, 106528, 101559, 106382, 11883, 30512, 15017, 119, 118158, 105879, 109954, 32149, 95532, 112599, 123011, 117864, 33334, 35330, 29295, 103470, 111243, 13870, 223, 106528, 101559, 106382, 11883, 30512, 11883, 37689, 54926, 41007, 71289, 106382, 11883, 30512, 126128, 105262, 41007, 103306, 15682, 88852, 16144, 19, 59739, 29295, 123680, 102639, 102204, 33541, 9174, 77693, 108422, 33121, 50520, 111, 106624, 126362, 109768, 50834, 33541, 9174, 102099, 105150, 106518, 15682, 105994, 16556, 46034, 106307, 50834, 30512, 103130, 109315, 115789, 88367, 38641, 109807, 107803, 112649, 117295, 106382, 11883, 15682, 114940, 106053, 32938, 111363, 106382, 11883, 103378, 38641, 9174, 80673, 5486, 112424, 16144, 53283, 109375, 126758, 72238, 114754, 5486, 46034, 56965, 104865, 117295, 102181, 104770, 19967, 13153, 55031, 114940, 106053, 32938, 110792, 71289, 111842, 31431, 117824, 30297, 104468, 110482, 111108, 38641, 9174, 53900, 5486, 36651, 112686, 58721, 110276, 107803, 5486, 13870, 223, 106528, 101559, 110214, 16556, 83747, 109518, 36651, 112686, 58721, 117657, 109335, 103082, 107515, 15024, 5486, 101682, 49988, 114397, 32977, 33655, 119841, 103846, 5486, 103048, 113160, 29295, 110008, 31540, 107001, 103296, 104196, 111587, 15682, 106307, 76622, 123207, 16995, 76622, 107515, 9174, 105994, 16556, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 30512, 120837, 5486, 59614, 101860, 15024, 32977, 51385, 47884, 109020, 113334, 111769, 28542, 15682, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 102099, 105150, 106518, 123160, 101427, 113, 102781, 64531, 22649, 30512, 103963, 117943, 54926, 114363, 103722, 46729, 103306, 15682, 5486, 13870, 223, 106528, 101559, 16144, 102717, 111201, 65743, 25333, 102181, 101559, 29295, 113727, 102204, 33541, 9174, 91, 65743, 25333, 102181, 101559, 106382, 11883, 19732, 13870, 223, 106528, 101559, 106382, 11883, 16144, 125261, 7, 30832, 51385, 340, 91, 65743, 25333, 102181, 101559, 16144, 107803, 198, 91, 10110, 100815, 46034, 35330, 10, 19653, 78943, 100845, 105, 114146, 38144, 7705, 103664, 508, 110743, 21909, 1135, 110743, 198, 91, 13870, 223, 106528, 101559, 16144, 107803, 198, 91, 10110, 100815, 46034, 35330, 10, 19653, 78943, 100845, 105, 114146, 38144, 7705, 103664, 868, 110743, 21909, 1272, 110743, 198, 106382, 11883, 121142, 91774, 104984, 5486, 65743, 25333, 102181, 101559, 20230, 103963, 117943, 54926, 24273, 29295, 51385, 115737, 31431, 33541, 9174, 80673, 5486, 103963, 117943, 30046, 125030, 76947, 13870, 223, 106528, 101559, 15682, 113551, 17792, 113115, 15024, 5486, 65743, 25333, 102181, 101559, 15682, 102181, 104770, 19967, 13153, 113551, 17792, 103195, 102677, 28542, 16556, 27384, 112495, 121953, 115991, 33541, 9174, 56051, 29295, 76947, 5486, 114940, 106053, 32938, 113245, 117859, 124118, 102052, 37026, 33503, 20834, 120998, 54926, 109215, 115991, 5486, 83747, 109518, 36651, 112686, 58721, 32977, 107740, 103082, 107515, 9174, 25333, 57933, 112718, 107118, 117727, 31091, 30512, 102433, 65743, 25333, 122521, 120690, 102083, 16995, 5486, 112424, 123863, 118969, 75694, 17129, 26854, 110238, 103129, 117824, 30297, 101513, 97518, 38641, 9174, 102433, 102208, 30590, 117083, 25333, 57933, 112718, 30512, 107740, 126693, 5486, 13870, 223, 106528, 101559, 16144, 126362, 32977, 39926, 120700, 33541, 15024, 5486, 102099, 105150, 106518, 106382, 11883, 30512, 121697, 109913, 107290, 124089, 114305, 32977, 57903, 33541, 9174, 53900, 5486, 104654, 123050, 101682, 110698, 30046, 127303, 104984, 13870, 223, 106528, 101559, 106382, 11883, 29295, 103350, 105284, 92693, 105352, 26854, 31431, 33541, 9174, 25333, 57933, 112718, 15682, 19732, 111243, 102924, 60632, 26854, 101513, 97518, 77181, 57903, 33541, 29295, 112160, 59739, 103378, 68408, 39850, 37823, 67075, 115991, 33541, 9174, 122582, 13177, 126913, 54926, 13870, 223, 106528, 101559, 30512, 102647, 103854, 100604, 66383, 95604, 28542, 38641, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 15682, 5486, 117232, 30512, 31634, 54926, 102944, 116787, 5486, 103130, 62004, 100481, 47884, 17905, 77181, 108703, 35330, 16144, 114667, 104309, 43511, 17792, 20230, 87177, 21105, 98, 110706, 115517, 104309, 30512, 87177, 17663, 115789, 57903, 33541, 1811, 109860, 127105, 13870, 223, 106528, 101559, 110792, 50021, 34171, 32977, 109215, 38641, 9174, 80673, 25333, 57933, 112718, 30512, 107740, 112990, 5486, 13870, 223, 106528, 101559, 16144, 126362, 15682, 39926, 120700, 33541, 29295, 5486, 13870, 223, 106528, 101559, 15682, 102647, 103854, 107515, 9174, 103424, 53901, 26854, 80805, 84477, 118567, 116690, 30512, 106391, 113638, 108608, 32149, 30512, 30358, 103984, 54926, 17792, 125030, 76947, 15682, 5486, 68408, 39850, 37823, 67075, 32149, 110241, 33121, 107515, 9174, 108703, 35330, 104196, 111587, 16144, 32335, 126867, 123011, 117864, 33334, 35330, 30512, 11883, 37689, 54926, 104468, 110482, 111108, 38641, 9174, 80673, 13177, 50021, 111813, 111114, 10646, 71289, 13177, 17620, 111017, 124237, 16995, 4012, 117503, 123357, 32938, 20230, 103963, 117943, 126693, 5486, 85707, 23538, 106382, 11883, 15682, 102717, 19732, 124592, 32149, 107277, 107515, 9174, 85707, 23538, 106382, 11883, 30512, 124237, 30297, 100909, 103470, 103963, 117943, 120273, 103664, 30512, 126233, 102971, 15024, 5486, 101682, 49988, 114397, 30512, 37705, 47000, 126693, 108703, 35330, 16144, 104196, 111587, 30512, 21105, 103, 47884, 111243, 114652, 109020, 105879, 5486, 104654, 32977, 51385, 23187, 15024, 5486, 103048, 113160, 103296, 16144, 117232, 20230, 13870, 223, 106528, 101559, 106382, 11883, 30512, 80631, 107, 109315, 115789, 88367, 38641, 9174, 17620, 111017, 124237, 117714, 126513, 5486, 1927, 18904, 124237, 16995, 103296, 103306, 107991, 13870, 223, 106528, 101559, 123357, 32938, 29295, 127181, 38641, 1811, 13870, 223, 106528, 101559, 106382, 11883, 29295, 966, 32307, 19732, 112990, 5486, 9953, 104680, 16, 110743, 88852, 16144, 46456, 124237, 16995, 121711, 33541, 9174, 50021, 111813, 111114, 71289, 17620, 111017, 124237, 117714, 31540, 33476, 109853, 15682, 5486, 13870, 223, 106528, 101559, 123357, 32938, 16144, 103927, 103202, 122481, 20230, 61304, 107121, 116216, 61689, 105879, 108149, 33503, 32149, 100204, 62004, 104873, 115694, 33334, 47884, 102083, 117201, 109954, 9174, 102099, 105150, 106518, 16144, 13870, 223, 106528, 101559, 106382, 11883, 15682, 29220, 44971, 76428, 67075, 123218, 77181, 46456, 124237, 58942, 107515, 9174, 28713, 19732, 116285, 13870, 223, 106528, 101559, 16144, 100815, 46034, 35330, 30512, 29220, 44971, 76428, 67075, 123218, 16556, 124237, 30297, 19732, 5486, 102099, 105150, 106518, 113468, 13821, 111, 33420, 15024, 117657, 100909, 107294, 105722, 30369, 103846, 38641, 9174, 13177, 102099, 105150, 106518, 30512, 13870, 223, 106528, 101559, 20230, 103963, 117943, 56051, 16995, 107493, 104405, 125338, 106767, 72342, 81219, 104712, 91006, 198, 110219, 20230, 104654, 30512, 109768, 104533, 13870, 223, 106528, 101559, 20230, 53283, 31431, 40862, 30297, 101513, 38093, 15682, 30591, 109709, 103470, 120953, 125338, 13870, 223, 106528, 101559, 30512, 106767, 72342, 81219, 104712, 104865, 29295, 78183, 124403, 17792, 32977, 107991, 32149, 106046, 61689, 9174, 110382, 126328, 5486, 13870, 223, 106528, 101559, 111363, 103963, 117943, 41007, 30512, 46034, 106307, 50834, 16144, 89753, 33121, 20230, 114146, 38144, 126362, 78434, 9174, 103963, 117943, 54926, 13870, 223, 106528, 101559, 16144, 102647, 102802, 24273, 5486, 106767, 15024, 24273, 103306, 15682, 5486, 126843, 15682, 124773, 123437, 67075, 16556, 13870, 223, 106528, 101559, 16144, 103927, 103202, 122481, 104309, 30512, 111800, 52084, 39926, 108134, 30512, 43167, 62004, 17129, 109954, 9174, 67645, 16144, 123357, 32938, 16144, 103927, 103202, 122481, 105352, 115364, 50928, 37689, 17620, 102212, 30512, 61304, 107121, 103792, 116497, 38641, 9174, 102099, 105150, 106518, 16144, 103963, 117943, 123410, 107803, 102052, 101427, 113, 102781, 64531, 22649, 30512, 114363, 103722, 112535, 108167, 121247, 103836, 13870, 223, 106528, 101559, 30512, 118823, 17905, 16556, 111800, 52084, 39926, 121374, 104309, 30512, 125261, 112990, 57980, 117201, 109954, 9174, 53900, 13870, 223, 106528, 101559, 38093, 71289, 94134, 33014, 16556, 23187, 23538, 112535, 92693, 16144, 112424, 50021, 111813, 125523, 113497, 103792, 107803, 32977, 57903, 33541, 105879, 5486, 108882, 110993, 112535, 110284, 54926, 115789, 33334, 125683, 62004, 38641, 9174, 16995, 47884, 59739, 32149, 103550, 111983, 29295, 104662, 117864, 33503, 5486, 13870, 223, 106528, 101559, 20230, 50021, 111813, 78434, 1811, 50021, 111813, 54926, 104983, 20230, 11883, 37689, 54926, 104468, 5486, 116907, 16144, 110226, 17701, 71289, 108703, 35330, 109518, 29295, 78183, 117295, 102181, 104770, 29295, 30591, 104984, 104712, 123253, 9174, 122485, 126194, 109242, 9039, 16144, 13870, 223, 106528, 101559, 20230, 50021, 111813, 39926, 122225, 54926, 112973, 22649, 101067, 38641, 9174, 13870, 223, 106528, 101559, 123357, 32938, 113468, 42506, 35330, 124957, 15682, 108901, 26854, 31431, 33541, 1811, 109242, 9039, 16144, 13870, 223, 106528, 101559, 123357, 32938, 55031, 91774, 108882, 123731, 30512, 32977, 110706, 5486, 125261, 39926, 55031, 104662, 109315, 106592, 33334, 125683, 62004, 78434, 9174, 50021, 111813, 56051, 55031, 102083, 76947, 58426, 13870, 223, 106528, 101559, 20230, 103963, 117943, 21105, 103, 118145, 16995, 124324, 102677, 33710, 64178, 120937, 105879, 5486, 51385, 64209, 39926, 72315, 9174, 13870, 223, 106528, 101559, 16144, 102647, 102802, 24273, 15682, 108703, 35330, 109606, 71289, 112424, 111363, 53283, 109375, 15682, 32977, 43514, 85791, 25827, 5486, 115364, 101128, 102, 64121, 20230, 106759, 96356, 117084, 50021, 111813, 30512, 104655, 102532, 47884, 115032, 32149, 5486, 50021, 34171, 15682, 104405, 32149, 104309, 32977, 107693, 26854, 120098, 38641, 9174, 108703, 35330, 109606, 15682, 107188, 31431, 113714, 57207, 103906, 52884, 26854, 109606, 38641, 15024, 5486, 102099, 105150, 106518, 15682, 115364, 17792, 21990, 30512, 118396, 54926, 106084, 30926, 38641, 55031, 5486, 50021, 111813, 30512, 104655, 47884, 110783, 110095, 71289, 50021, 34171, 32977, 104662, 39926, 117355, 103984, 103082, 107515, 9174, 103963, 117943, 54926, 13870, 223, 106528, 101559, 29295, 104662, 117864, 33503, 5486, 103963, 117943, 120273, 103664, 30512, 102971, 102802, 33541, 9174, 103963, 117943, 120273, 103664, 126101, 100815, 46034, 35330, 29295, 109215, 119627, 5486, 17620, 111017, 124237, 16995, 117657, 115789, 88367, 38641, 9174, 15120, 106885, 124237, 117714, 126513, 5486, 100815, 46034, 35330, 16144, 46456, 124237, 16995, 29295, 105721, 35287, 54926, 103296, 101682, 49988 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31431, 54926, 105879, 22398, 91062, 106240, 20230, 103130, 64121, 33541, 9174, 102099, 105150, 106518, 20230, 109215, 26854, 102181, 104770, 15682, 88852, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 127145, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 102052, 5486, 114940, 106053, 32938, 117158, 120998, 39926, 5486, 108703, 35330, 16144, 114667, 71289, 106613, 100783, 107, 30512, 104655, 32149, 104028, 117859, 124118, 102677, 102944, 115991, 33541, 9174, 124572, 20230, 30591, 112568, 16144, 108703, 35330, 16144, 114667, 29295, 104603, 68581, 16073, 112193, 71289, 114115, 106382, 102083, 100472, 107803, 5486, 114940, 106053, 32938, 15682, 103048, 113160, 16937, 110008, 31540, 30926, 68171, 20230, 30591, 28713, 30369, 103306, 5486, 103048, 113160, 30512, 110008, 31540, 39926, 47884, 110615, 126465, 115991, 33541, 9174, 13870, 223, 106528, 101559, 15682, 114940, 106053, 32938, 117758, 117859, 124118, 113115, 39926, 103899, 13870, 223, 30512, 113551, 16556, 23039, 76947, 120700, 33541, 9174, 46729, 71289, 101918, 104309, 111419, 16144, 112686, 106518, 16144, 101182, 114754, 102099, 105150, 106518, 123410, 107803, 5486, 36651, 112686, 58721, 102677, 46034, 106307, 50834, 83799, 107328, 115717, 106116, 104983, 16144, 114940, 106053, 32938, 111363, 106382, 11883, 15682, 32335, 103167, 72661, 1135, 110743, 115717, 33541, 9174, 80673, 13870, 223, 106528, 101559, 20230, 103963, 117943, 109768, 104984, 5486, 83747, 109518, 36651, 112686, 58721, 102677, 46034, 106307, 50834, 83799, 107328, 20230, 60634, 23039, 15024, 5486, 106382, 11883, 32977, 508, 110743, 113314, 38641, 64121, 33541, 9174, 111419, 71689, 16144, 112686, 106518, 30512, 56438, 103792, 17792, 125030, 76947, 5486, 13870, 223, 106528, 101559, 111363, 103963, 117943, 15682, 109215, 109947, 124490, 102083, 76947, 104712, 123253, 9174, 13870, 223, 106528, 101559, 20230, 102099, 105150, 106518, 46034, 106307, 50834, 16144, 103963, 117943, 30512, 112990, 5486, 110726, 35330, 101275, 30046, 123160, 101427, 113, 112607, 30046, 20230, 13177, 101682, 49988, 58655, 53283, 66383, 95604, 114397, 102181, 30512, 37705, 47000, 78434, 9174, 101682, 49988, 114397, 102052, 25333, 109904, 126120, 48634, 115991, 5486, 101427, 113, 112607, 30046, 15682, 30591, 112568, 20230, 109467, 117384, 71289, 37, 3027, 123160, 89046, 117139, 29295, 121019, 103082, 123733, 31431, 33541, 9174, 58426, 103846, 5486, 108167, 121697, 71289, 106978, 113096, 29295, 71634, 103830, 78434, 15024, 5486, 103350, 105284, 108703, 35330, 16144, 104196, 111587, 123410, 109215, 32977, 123733, 31431, 33541, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 16556, 103048, 113160, 30512, 50928, 110071, 17129, 77181, 83747, 103470, 107173, 18, 32149, 9953, 15682, 32149, 107277, 33541, 9174, 101682, 49988, 114397, 15682, 102099, 105150, 106518, 46034, 106307, 50834, 107809, 16556, 27384, 112495, 107734, 111017, 30512, 28873, 28713, 17663, 46034, 106307, 50834, 102083, 76947, 104712, 123253, 9174, 108703, 35330, 16144, 101128, 102, 64121, 30512, 50338, 104662, 54926, 102052, 36896, 49988, 37689, 64531, 22649, 10646, 71289, 13177, 121568, 88356, 21990, 10646, 104309, 102099, 105150, 106518, 116749, 16144, 46034, 38574, 32977, 57903, 33541, 9174, 102099, 105150, 106518, 15682, 5486, 122617, 16144, 108703, 35330, 29295, 108270, 42634, 108176, 15120, 24273, 16556, 5486, 111419, 16144, 112686, 106518, 15682, 72027, 110226, 84389, 33541, 15024, 5486, 33563, 110322, 17792, 20230, 109440, 115461, 119707, 107441, 103801, 61689, 9174, 101427, 113, 102781, 64531, 22649, 20230, 50520, 111, 102800, 13870, 223, 106528, 101559, 127303, 104984, 115515, 16144, 30591, 112568, 29295, 22324, 32149, 115032, 127749, 20230, 32335, 109431, 26854, 50338, 104662, 41007, 30512, 29172, 81742, 39926, 124089, 105908, 57903, 33541, 9174, 13177, 102099, 105150, 106518, 123410, 116537, 13870, 223, 106528, 101559, 106382, 11883, 30512, 104405, 125338, 124237, 103836, 16144, 91006, 198, 102099, 105150, 106518, 30512, 21105, 103, 118145, 16995, 124324, 127749, 26854, 110115, 5486, 123011, 117864, 33334, 35330, 30512, 11883, 37689, 54926, 104468, 112825, 110904, 77181, 124897, 9174, 30591, 112568, 19732, 112361, 105933, 127749, 105352, 97518, 78183, 121140, 5486, 103350, 104983, 20230, 102099, 105150, 106518, 126198, 116537, 67645, 119775, 13870, 223, 106528, 101559, 106382, 11883, 30512, 15017, 119, 118158, 105879, 109954, 32149, 95532, 112599, 123011, 117864, 33334, 35330, 29295, 103470, 111243, 13870, 223, 106528, 101559, 106382, 11883, 30512, 11883, 37689, 54926, 41007, 71289, 106382, 11883, 30512, 126128, 105262, 41007, 103306, 15682, 88852, 16144, 19, 59739, 29295, 123680, 102639, 102204, 33541, 9174, 77693, 108422, 33121, 50520, 111, 106624, 126362, 109768, 50834, 33541, 9174, 102099, 105150, 106518, 15682, 105994, 16556, 46034, 106307, 50834, 30512, 103130, 109315, 115789, 88367, 38641, 109807, 107803, 112649, 117295, 106382, 11883, 15682, 114940, 106053, 32938, 111363, 106382, 11883, 103378, 38641, 9174, 80673, 5486, 112424, 16144, 53283, 109375, 126758, 72238, 114754, 5486, 46034, 56965, 104865, 117295, 102181, 104770, 19967, 13153, 55031, 114940, 106053, 32938, 110792, 71289, 111842, 31431, 117824, 30297, 104468, 110482, 111108, 38641, 9174, 53900, 5486, 36651, 112686, 58721, 110276, 107803, 5486, 13870, 223, 106528, 101559, 110214, 16556, 83747, 109518, 36651, 112686, 58721, 117657, 109335, 103082, 107515, 15024, 5486, 101682, 49988, 114397, 32977, 33655, 119841, 103846, 5486, 103048, 113160, 29295, 110008, 31540, 107001, 103296, 104196, 111587, 15682, 106307, 76622, 123207, 16995, 76622, 107515, 9174, 105994, 16556, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 30512, 120837, 5486, 59614, 101860, 15024, 32977, 51385, 47884, 109020, 113334, 111769, 28542, 15682, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 102099, 105150, 106518, 123160, 101427, 113, 102781, 64531, 22649, 30512, 103963, 117943, 54926, 114363, 103722, 46729, 103306, 15682, 5486, 13870, 223, 106528, 101559, 16144, 102717, 111201, 65743, 25333, 102181, 101559, 29295, 113727, 102204, 33541, 9174, 91, 65743, 25333, 102181, 101559, 106382, 11883, 19732, 13870, 223, 106528, 101559, 106382, 11883, 16144, 125261, 7, 30832, 51385, 340, 91, 65743, 25333, 102181, 101559, 16144, 107803, 198, 91, 10110, 100815, 46034, 35330, 10, 19653, 78943, 100845, 105, 114146, 38144, 7705, 103664, 508, 110743, 21909, 1135, 110743, 198, 91, 13870, 223, 106528, 101559, 16144, 107803, 198, 91, 10110, 100815, 46034, 35330, 10, 19653, 78943, 100845, 105, 114146, 38144, 7705, 103664, 868, 110743, 21909, 1272, 110743, 198, 106382, 11883, 121142, 91774, 104984, 5486, 65743, 25333, 102181, 101559, 20230, 103963, 117943, 54926, 24273, 29295, 51385, 115737, 31431, 33541, 9174, 80673, 5486, 103963, 117943, 30046, 125030, 76947, 13870, 223, 106528, 101559, 15682, 113551, 17792, 113115, 15024, 5486, 65743, 25333, 102181, 101559, 15682, 102181, 104770, 19967, 13153, 113551, 17792, 103195, 102677, 28542, 16556, 27384, 112495, 121953, 115991, 33541, 9174, 56051, 29295, 76947, 5486, 114940, 106053, 32938, 113245, 117859, 124118, 102052, 37026, 33503, 20834, 120998, 54926, 109215, 115991, 5486, 83747, 109518, 36651, 112686, 58721, 32977, 107740, 103082, 107515, 9174, 25333, 57933, 112718, 107118, 117727, 31091, 30512, 102433, 65743, 25333, 122521, 120690, 102083, 16995, 5486, 112424, 123863, 118969, 75694, 17129, 26854, 110238, 103129, 117824, 30297, 101513, 97518, 38641, 9174, 102433, 102208, 30590, 117083, 25333, 57933, 112718, 30512, 107740, 126693, 5486, 13870, 223, 106528, 101559, 16144, 126362, 32977, 39926, 120700, 33541, 15024, 5486, 102099, 105150, 106518, 106382, 11883, 30512, 121697, 109913, 107290, 124089, 114305, 32977, 57903, 33541, 9174, 53900, 5486, 104654, 123050, 101682, 110698, 30046, 127303, 104984, 13870, 223, 106528, 101559, 106382, 11883, 29295, 103350, 105284, 92693, 105352, 26854, 31431, 33541, 9174, 25333, 57933, 112718, 15682, 19732, 111243, 102924, 60632, 26854, 101513, 97518, 77181, 57903, 33541, 29295, 112160, 59739, 103378, 68408, 39850, 37823, 67075, 115991, 33541, 9174, 122582, 13177, 126913, 54926, 13870, 223, 106528, 101559, 30512, 102647, 103854, 100604, 66383, 95604, 28542, 38641, 9174, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 15682, 5486, 117232, 30512, 31634, 54926, 102944, 116787, 5486, 103130, 62004, 100481, 47884, 17905, 77181, 108703, 35330, 16144, 114667, 104309, 43511, 17792, 20230, 87177, 21105, 98, 110706, 115517, 104309, 30512, 87177, 17663, 115789, 57903, 33541, 1811, 109860, 127105, 13870, 223, 106528, 101559, 110792, 50021, 34171, 32977, 109215, 38641, 9174, 80673, 25333, 57933, 112718, 30512, 107740, 112990, 5486, 13870, 223, 106528, 101559, 16144, 126362, 15682, 39926, 120700, 33541, 29295, 5486, 13870, 223, 106528, 101559, 15682, 102647, 103854, 107515, 9174, 103424, 53901, 26854, 80805, 84477, 118567, 116690, 30512, 106391, 113638, 108608, 32149, 30512, 30358, 103984, 54926, 17792, 125030, 76947, 15682, 5486, 68408, 39850, 37823, 67075, 32149, 110241, 33121, 107515, 9174, 108703, 35330, 104196, 111587, 16144, 32335, 126867, 123011, 117864, 33334, 35330, 30512, 11883, 37689, 54926, 104468, 110482, 111108, 38641, 9174, 80673, 13177, 50021, 111813, 111114, 10646, 71289, 13177, 17620, 111017, 124237, 16995, 4012, 117503, 123357, 32938, 20230, 103963, 117943, 126693, 5486, 85707, 23538, 106382, 11883, 15682, 102717, 19732, 124592, 32149, 107277, 107515, 9174, 85707, 23538, 106382, 11883, 30512, 124237, 30297, 100909, 103470, 103963, 117943, 120273, 103664, 30512, 126233, 102971, 15024, 5486, 101682, 49988, 114397, 30512, 37705, 47000, 126693, 108703, 35330, 16144, 104196, 111587, 30512, 21105, 103, 47884, 111243, 114652, 109020, 105879, 5486, 104654, 32977, 51385, 23187, 15024, 5486, 103048, 113160, 103296, 16144, 117232, 20230, 13870, 223, 106528, 101559, 106382, 11883, 30512, 80631, 107, 109315, 115789, 88367, 38641, 9174, 17620, 111017, 124237, 117714, 126513, 5486, 1927, 18904, 124237, 16995, 103296, 103306, 107991, 13870, 223, 106528, 101559, 123357, 32938, 29295, 127181, 38641, 1811, 13870, 223, 106528, 101559, 106382, 11883, 29295, 966, 32307, 19732, 112990, 5486, 9953, 104680, 16, 110743, 88852, 16144, 46456, 124237, 16995, 121711, 33541, 9174, 50021, 111813, 111114, 71289, 17620, 111017, 124237, 117714, 31540, 33476, 109853, 15682, 5486, 13870, 223, 106528, 101559, 123357, 32938, 16144, 103927, 103202, 122481, 20230, 61304, 107121, 116216, 61689, 105879, 108149, 33503, 32149, 100204, 62004, 104873, 115694, 33334, 47884, 102083, 117201, 109954, 9174, 102099, 105150, 106518, 16144, 13870, 223, 106528, 101559, 106382, 11883, 15682, 29220, 44971, 76428, 67075, 123218, 77181, 46456, 124237, 58942, 107515, 9174, 28713, 19732, 116285, 13870, 223, 106528, 101559, 16144, 100815, 46034, 35330, 30512, 29220, 44971, 76428, 67075, 123218, 16556, 124237, 30297, 19732, 5486, 102099, 105150, 106518, 113468, 13821, 111, 33420, 15024, 117657, 100909, 107294, 105722, 30369, 103846, 38641, 9174, 13177, 102099, 105150, 106518, 30512, 13870, 223, 106528, 101559, 20230, 103963, 117943, 56051, 16995, 107493, 104405, 125338, 106767, 72342, 81219, 104712, 91006, 198, 110219, 20230, 104654, 30512, 109768, 104533, 13870, 223, 106528, 101559, 20230, 53283, 31431, 40862, 30297, 101513, 38093, 15682, 30591, 109709, 103470, 120953, 125338, 13870, 223, 106528, 101559, 30512, 106767, 72342, 81219, 104712, 104865, 29295, 78183, 124403, 17792, 32977, 107991, 32149, 106046, 61689, 9174, 110382, 126328, 5486, 13870, 223, 106528, 101559, 111363, 103963, 117943, 41007, 30512, 46034, 106307, 50834, 16144, 89753, 33121, 20230, 114146, 38144, 126362, 78434, 9174, 103963, 117943, 54926, 13870, 223, 106528, 101559, 16144, 102647, 102802, 24273, 5486, 106767, 15024, 24273, 103306, 15682, 5486, 126843, 15682, 124773, 123437, 67075, 16556, 13870, 223, 106528, 101559, 16144, 103927, 103202, 122481, 104309, 30512, 111800, 52084, 39926, 108134, 30512, 43167, 62004, 17129, 109954, 9174, 67645, 16144, 123357, 32938, 16144, 103927, 103202, 122481, 105352, 115364, 50928, 37689, 17620, 102212, 30512, 61304, 107121, 103792, 116497, 38641, 9174, 102099, 105150, 106518, 16144, 103963, 117943, 123410, 107803, 102052, 101427, 113, 102781, 64531, 22649, 30512, 114363, 103722, 112535, 108167, 121247, 103836, 13870, 223, 106528, 101559, 30512, 118823, 17905, 16556, 111800, 52084, 39926, 121374, 104309, 30512, 125261, 112990, 57980, 117201, 109954, 9174, 53900, 13870, 223, 106528, 101559, 38093, 71289, 94134, 33014, 16556, 23187, 23538, 112535, 92693, 16144, 112424, 50021, 111813, 125523, 113497, 103792, 107803, 32977, 57903, 33541, 105879, 5486, 108882, 110993, 112535, 110284, 54926, 115789, 33334, 125683, 62004, 38641, 9174, 16995, 47884, 59739, 32149, 103550, 111983, 29295, 104662, 117864, 33503, 5486, 13870, 223, 106528, 101559, 20230, 50021, 111813, 78434, 1811, 50021, 111813, 54926, 104983, 20230, 11883, 37689, 54926, 104468, 5486, 116907, 16144, 110226, 17701, 71289, 108703, 35330, 109518, 29295, 78183, 117295, 102181, 104770, 29295, 30591, 104984, 104712, 123253, 9174, 122485, 126194, 109242, 9039, 16144, 13870, 223, 106528, 101559, 20230, 50021, 111813, 39926, 122225, 54926, 112973, 22649, 101067, 38641, 9174, 13870, 223, 106528, 101559, 123357, 32938, 113468, 42506, 35330, 124957, 15682, 108901, 26854, 31431, 33541, 1811, 109242, 9039, 16144, 13870, 223, 106528, 101559, 123357, 32938, 55031, 91774, 108882, 123731, 30512, 32977, 110706, 5486, 125261, 39926, 55031, 104662, 109315, 106592, 33334, 125683, 62004, 78434, 9174, 50021, 111813, 56051, 55031, 102083, 76947, 58426, 13870, 223, 106528, 101559, 20230, 103963, 117943, 21105, 103, 118145, 16995, 124324, 102677, 33710, 64178, 120937, 105879, 5486, 51385, 64209, 39926, 72315, 9174, 13870, 223, 106528, 101559, 16144, 102647, 102802, 24273, 15682, 108703, 35330, 109606, 71289, 112424, 111363, 53283, 109375, 15682, 32977, 43514, 85791, 25827, 5486, 115364, 101128, 102, 64121, 20230, 106759, 96356, 117084, 50021, 111813, 30512, 104655, 102532, 47884, 115032, 32149, 5486, 50021, 34171, 15682, 104405, 32149, 104309, 32977, 107693, 26854, 120098, 38641, 9174, 108703, 35330, 109606, 15682, 107188, 31431, 113714, 57207, 103906, 52884, 26854, 109606, 38641, 15024, 5486, 102099, 105150, 106518, 15682, 115364, 17792, 21990, 30512, 118396, 54926, 106084, 30926, 38641, 55031, 5486, 50021, 111813, 30512, 104655, 47884, 110783, 110095, 71289, 50021, 34171, 32977, 104662, 39926, 117355, 103984, 103082, 107515, 9174, 103963, 117943, 54926, 13870, 223, 106528, 101559, 29295, 104662, 117864, 33503, 5486, 103963, 117943, 120273, 103664, 30512, 102971, 102802, 33541, 9174, 103963, 117943, 120273, 103664, 126101, 100815, 46034, 35330, 29295, 109215, 119627, 5486, 17620, 111017, 124237, 16995, 117657, 115789, 88367, 38641, 9174, 15120, 106885, 124237, 117714, 126513, 5486, 100815, 46034, 35330, 16144, 46456, 124237, 16995, 29295, 105721, 35287, 54926, 103296, 101682, 49988 ]
[ 114397, 29295, 37705, 47000, 118765, 105879, 5486, 61633, 39926, 72315, 9174, 103963, 117943, 120273, 103664, 30512, 102971, 103854, 81219, 5486, 102181, 104770, 19967, 13153, 71289, 114940, 106053, 32938, 16144, 71289, 111842, 111331, 102717, 19732, 124592, 30512, 13870, 223, 106528, 101559, 29295, 31640, 23039, 39926, 124089, 105879, 108149, 112568, 116907, 29295, 17663, 125231, 109335, 77693, 108680, 43240, 47884, 124897, 9174, 110382, 126328, 5486, 102099, 105150, 106518, 30512, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 17905, 16556, 114652, 101182, 107750, 99397, 109853, 33334, 106608, 58942, 78434, 9174, 13870, 223, 106528, 101559, 29295, 30591, 112568, 117758, 103963, 117943, 30512, 64889, 30369, 126465, 15682, 108729, 9554, 102052, 124897, 9174, 80673, 5486, 88852, 120950, 126465, 77181, 64889, 110071, 125396, 32977, 57903, 33541, 9174, 13870, 223, 106528, 101559, 110792, 120273, 103664, 15682, 22023, 104577, 20230, 75146, 109669, 102532, 26854, 84389, 33541, 1811, 108703, 35330, 16144, 113385, 104309, 30512, 122984, 54926, 104468, 21555, 98, 101860, 32149, 102800, 120208, 32977, 101182, 32149, 110241, 33121, 107515, 29295, 5486, 37656, 74245, 20230, 76537, 43514, 31958, 76622, 17129, 109954, 9174, 88852, 120950, 126513, 46034, 106307, 50834, 16144, 108968, 16325, 16556, 13870, 223, 106528, 101559, 29295, 121355, 49988, 54926, 126465, 32977, 57903, 33541, 9174, 32335, 103167, 48249, 16144, 68759, 118567, 30813, 58942, 95221, 116825, 76622, 100481, 104984, 5486, 13870, 223, 106528, 101559, 29295, 121355, 49988, 54926, 126465, 15682, 124897, 105879, 51385, 64209, 39926, 72315, 9174, 102971, 105242, 55031, 95604, 19732, 5486, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 126867, 13870, 223, 106528, 101559, 30512, 50338, 49988, 54926, 109335, 88367, 38641, 9174, 114225, 20230, 103283, 16144, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 32149, 5486, 113801, 106307, 50834, 105994, 16556, 46034, 106307, 50834, 30512, 126693, 115847, 103296, 103130, 109013, 46034, 106307, 50834, 29295, 71289, 31431, 74245, 17663, 109215, 32977, 103470, 106116, 110674, 120321, 106307, 88367, 38641, 9174, 90620, 15024, 5486, 100815, 46034, 35330, 15682, 114941, 76947, 50834, 107515, 15024, 121453, 102800, 13870, 223, 106528, 101559, 20230, 103963, 117943, 112990, 17, 30358, 16556, 100815, 46034, 35330, 30512, 46456, 124237, 78183, 123207, 105110, 100604, 28542, 15682, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 102099, 105150, 106518, 15682, 25580, 18904, 55031, 22, 8107, 29295, 106613, 103188, 109768, 104984, 5486, 88356, 27479, 102782, 80195, 29295, 88367, 38641, 1811, 90620, 15024, 17, 18904, 118322, 102099, 105150, 106518, 16144, 107803, 5486, 114940, 106053, 32938, 55031, 103048, 113160, 16144, 110008, 31540, 30512, 50928, 30369, 102052, 102040, 65575, 33710, 29295, 45736, 115737, 31431, 33541, 9174, 26854, 112371, 105110, 88356, 102802, 108703, 35330, 29295, 104735, 101, 33503, 102189, 115517, 29295, 126920, 71289, 104004, 30512, 50928, 100604, 102944, 115287, 32149, 5486, 126920, 95543, 66870, 103792, 104865, 104405, 32149, 104309, 32977, 16906, 111, 106624, 117859, 112984, 107001, 125396, 29295, 45736, 47884, 109020, 55031, 38641, 9174, 58426, 103846, 5486, 16, 27479, 106613, 111186, 103792, 55031, 102083, 76947, 5486, 105994, 16556, 46034, 106307, 50834, 54926, 109335, 33334, 125683, 62004, 103082, 107515, 9174, 17, 18904, 118322, 102099, 105150, 106518, 109853, 15682, 88852, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 127145, 9174, 102099, 105150, 106518, 15682, 114940, 106053, 32938, 110792, 111108, 50338, 26854, 46034, 106307, 50834, 30512, 106613, 38144, 101200, 71289, 47884, 108703, 35330, 30512, 103470, 17663, 105908, 125545, 9174, 107943, 126101, 117943, 31431, 108176, 112973, 112424, 16144, 114363, 103722, 46729, 103195, 13870, 223, 106528, 101559, 220, 38641, 9174, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 39850, 37823, 67075, 15682, 88852, 16144, 19, 59739, 38641, 9174, 102099, 105150, 106518, 123410, 17905, 16556, 13870, 223, 106528, 101559, 106382, 11883, 15682, 102750, 48552, 106046, 126832, 32149, 110241, 33121, 107515, 29295, 5486, 106382, 11883, 30512, 124237, 30297, 41007, 112987, 47884, 59739, 32149, 57903, 33541, 9174, 127177, 50338, 104662, 41007, 30512, 96412, 107436, 127637, 50021, 111813, 39926, 64121, 30369, 106592, 33334, 125683, 62004, 78434, 1811, 128001, 128000, 2, 118942, 110362, 97518, 89046, 77219, 9458, 101335, 65299, 102040, 65299, 198, 567, 111789, 113638, 16325, 16144, 13177, 110423, 22649, 66383, 13177, 40452, 111329, 14711, 111789, 113638, 16325, 16144, 13177, 110423, 22649, 66383, 13177, 40452, 111329, 25580, 18904, 17129, 77181, 5486, 126521, 46729, 30512, 26892, 125655, 103846, 102052, 127178, 16325, 16144, 110423, 22649, 29295, 27384, 102769, 16556, 106116, 103846, 102052, 13177, 110423, 22649, 121101, 103057, 29245, 245, 120273, 103664, 102181, 66383, 13177, 107693, 30926, 105904, 122984, 102181, 10646, 20230, 61633, 39926, 72315, 102677, 87177, 30512, 102181, 50834, 79721, 9174, 51330, 87177, 30512, 112990, 59614, 101860, 13177, 2118, 110423, 22649, 863, 15682, 37656, 105184, 102052, 2118, 40452, 863, 16144, 56965, 121953, 77181, 124897, 32149, 91006, 102677, 48154, 105284, 99397, 30512, 16995, 90620, 50834, 33541, 9174, 105184, 111201, 127178, 102321, 75267, 102052, 13177, 102321, 75267, 40452, 30046, 66383, 95604, 107734, 118322, 114754, 61689, 113637, 116537, 127178, 108695, 16144, 61337, 102351, 103195, 105908, 102717, 19732, 124592, 16556, 106116, 107734, 30832, 15682, 43240, 119064, 107430, 17792, 98369, 71289, 17297, 109311, 108695, 29295, 102321, 75267, 117158, 124629, 54926, 16325, 106116, 104873, 64531, 30512, 39926, 104010, 33035, 112586, 102321, 75267, 29295, 103130, 104004, 104466, 2118, 40452, 863, 54926, 100909, 38641, 1811, 67645, 16144, 110480, 87217, 20230, 34048, 103234, 30512, 17701, 111600, 15024, 5486, 67645, 16144, 107430, 17792, 98369, 20230, 108064, 55031, 37507, 111243, 33503, 30297, 32149, 104309, 30512, 104873, 64531, 54926, 107693, 26854, 107734, 30832, 38641, 9174, 80673, 110371, 116537, 22656, 37507, 16144, 2118, 110423, 22649, 30046, 863, 77181, 124897, 1811, 110423, 22649, 15682, 110423, 22649, 127178, 101559, 121944, 23039, 78183, 123207, 105110, 100604, 100909, 117084, 61689, 9174, 29295, 5486, 108618, 104611, 106272, 102321, 75267, 16556, 2118, 40452, 30046, 863, 104088, 32149, 105784, 109335, 30591, 114598, 93056, 110423, 22649, 30046, 863, 104088, 32149, 105784, 109335, 102717, 19732, 124592, 124897, 9174, 51330, 30591, 115926, 5486, 126521, 46729, 29295, 108608, 32149, 104405, 111201, 119448, 47884, 97518, 78183, 76947, 50834, 33541, 105879, 5486, 21043, 66776, 198, 2118, 110423, 22649, 30046, 863, 29295, 67645, 16144, 107507, 101198, 94550, 16556, 99849, 18904, 108680, 37507, 38144, 124089, 104865, 5486, 114392, 114140, 39926, 33334, 47884, 109215, 107407, 16144, 38641, 9174, 126783, 50021, 111813, 120690, 220, 106691, 18655, 126233, 107734, 114147, 101129, 111828, 117406, 198, 11144, 104654, 16144, 110482, 100472, 30512, 50021, 111813, 39926, 30591, 25827, 15024, 25827, 6447, 112479, 48154, 50021, 111813, 58246, 48154, 105284, 99397, 58246, 48154, 31634, 103192, 15682, 17297, 61304, 103296, 106369, 95221, 117355, 20230, 104405, 108422, 106609, 827, 106369, 125683, 62004, 66378, 43167, 198, 126909, 16144, 101182, 46729, 30512, 57933, 108941, 103283, 20230, 48154, 126362, 54926, 66378, 43167, 77219, 38641, 1811, 26892, 125655, 104983, 16144, 120098, 71289, 5486, 53283, 76947, 33334, 105898, 16995, 61633, 28542, 104309, 5486, 108134, 112624, 107121, 6447, 128001, 128000, 12, 112697, 103202, 40081, 12, 47702, 94, 11883, 108134, 40081, 12, 120616, 101477, 102, 61337, 102351, 126362, 40081, 12, 110045, 76428, 122258, 68759, 38248, 109, 103906, 94550, 34048, 125677, 111338, 119619, 89151, 198, 2, 5000, 116229, 114835, 16556, 29220, 102803, 39880, 52414, 16144, 91482, 76428, 102750, 22398, 20230, 80631, 95, 112500, 56051, 16995, 198, 567, 117826, 19000, 16144, 117876, 44915, 30512, 100927, 107290, 72315, 9174, 6109, 116229, 16144, 106391, 13153, 71289, 47260, 108304, 119495, 16144, 111800, 118219, 5486, 29220, 102803, 39880, 52414, 111363, 29172, 81742, 71289, 37689, 91774, 104873, 64531, 5486, 102803, 102514, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 104309, 117824, 16995, 5486, 6109, 116229, 126636, 20119, 254, 126694, 30369, 117876, 30512, 127145, 9174, 27452, 116285, 5486, 121846, 116229, 71289, 114300, 40862, 43511, 61337, 16144, 104873, 112984, 5486, 105156, 82420, 109544, 16144, 110226, 43167, 104309, 117824, 100472, 31431, 5486, 29220, 102803, 39880, 52414, 55031, 103350, 104983, 20230, 107461, 39880, 122835, 117824, 76947, 111681, 104482, 30512, 31958, 33503, 111201, 56051, 111842, 5486, 23039, 30297, 109335, 43240, 104091, 43240, 103826, 38641, 9174, 103350, 104983, 20230, 121159, 30512, 102181, 102334, 31431, 68408, 126590, 126694, 13153, 56051, 31431, 15682, 103801, 72342, 25827, 29295, 5486, 108152, 38248, 114, 11972, 111363, 122502, 50834, 71289, 6109, 116229, 113468, 50928, 110071, 13153, 28873, 30512, 122074, 109669, 105784, 107693, 26854, 117876, 38641, 9174, 567, 114424, 61337, 16144, 50834, 42891, 126929, 30512, 100927, 107290, 72315, 9174, 81258, 107430, 112415, 16144, 40265, 39177, 36896, 17792, 19732, 43240, 47884, 97518, 78183, 30369, 117876, 59712, 127091, 126694, 30369, 117876, 66383, 95604, 100818, 116, 16556, 117876, 30512, 106767, 126020, 5486, 107943, 16325, 5486, 81258, 76706, 116229, 16556, 115018, 61994, 20834, 38093, 100472, 112973, 114741, 107446, 16144, 6109, 103857, 44971, 29220, 102514, 102677, 117876, 16556, 56051, 9174, 107118, 16995, 58942, 5486, 102667, 113146, 16144, 48864, 34048, 15682, 25333, 48864, 34048, 19732, 5486, 6109, 107118, 102057, 223, 32977, 106644, 107277, 32977, 57903, 105823, 104127, 56051, 55031, 5486, 83747, 26854, 55031, 101860, 127408, 32977, 57903, 79721, 1811, 107943, 127408, 30512, 26955, 255, 16995, 86436, 30369, 105908, 103082, 28713, 104468, 102647, 78698, 16556, 110284, 56051, 76171, 102514, 16073, 57207, 103830, 16556, 56051, 9174, 76171, 102514, 16073, 57207, 103830, 77181, 5486, 6109, 39442, 106613, 111186, 16144, 86127, 125030, 76947, 85707, 107436, 16144, 100909, 71289, 53283, 110104, 100909, 16144, 89046, 106307, 16556, 56051, 119520, 5486, 78183, 124403, 106592, 105284, 99397, 112990, 5486, 115364, 117876, 30512, 103792, 32335, 16325, 105352, 97518, 78183, 121140, 61826, 101477, 102, 127282, 85701, 72661, 32149, 19732, 112844, 108680, 104622, 106624, 104257, 121370, 20230, 122984, 30512, 39926, 120700, 79721, 113637, 105908, 50834, 42891, 126929, 16556, 36896, 51330, 108695, 103351, 33503, 39442, 106613, 111186, 16144, 105994, 72661, 13153, 101544, 109768, 105784, 32149, 121061, 66383, 113727, 5486, 114741, 107446, 109156, 61337, 30512, 104662, 62004, 79721, 9174, 567, 116056, 117876, 30512, 39926, 102532, 16144, 71289, 31431, 125001, 30512, 100927, 107290, 72315, 9174, 13177, 61648, 117503, 112661, 56965, 29295, 127181, 105908, 71289, 31431, 125001, 112028, 59739, 36785, 106046, 61689, 9174, 6109, 116229, 30512, 114835, 54926, 17905, 16556, 102404, 21990, 54926, 19967, 101275, 15682, 43240, 58699, 238, 20230, 78183, 115926, 33541, 124845, 106116, 17620, 103378, 13177, 61648, 117503, 112661, 56965, 115991, 33541, 1811, 27452, 116285, 112160, 118821, 122481, 126694, 104533, 50834, 102052, 5486, 106391, 13153, 81742, 16144, 61648, 5486, 53229, 83932, 110226, 43167, 57207, 84477, 16144, 61648, 5486, 18655, 103234, 9458, 125152, 58322, 109544, 16144, 19967, 13153, 5486, 83125, 16144, 37823, 119744, 16144, 61648, 104309, 5486, 43240, 119064, 13177, 61648, 10646, 29295, 102404, 21990, 15024, 106116, 28713, 102802, 20230, 104067, 13153, 99750, 30512, 112391, 30369, 105908, 125545, 9174, 53900, 5486, 6109, 116229, 37087, 33014, 29295, 61648, 15024, 5486, 29220, 102803, 39880, 52414, 20230, 104940, 104127, 16995, 90620, 107674, 110018, 16144, 104067, 13153, 99750, 15682, 117119, 102944, 105352, 31640, 58942, 29295, 106956, 38641, 9174, 567, 102542, 228, 20230, 27384, 104721, 5486, 110482, 111108, 103351, 109335, 95532, 17701, 61337, 40265, 85707, 15682, 5486, 117384, 104087, 15024, 16556, 29220, 102803, 39880, 52414, 71289, 102803, 102514, 19732, 71289, 31431, 108167, 123410, 112973, 107202, 46034, 16556, 107202, 8239, 112, 121256, 9174, 57326, 102803, 102832, 84477, 16556, 33334, 72516, 20230, 120999, 16144, 117384, 30512, 17701, 104028, 120266, 17663, 33503, 107188, 31431, 107202, 46034, 37689, 109375, 122291, 103846, 5486, 117384, 104087, 15024, 16556, 107750, 99397, 107898, 103899, 58942, 56051, 31431, 5486, 125144, 50338, 29295, 21990, 17129, 110615, 104466, 37656, 105184, 20230, 31634, 14558, 30512, 108044, 107800, 31431, 54926, 109335, 101067, 66201, 71689, 20230, 111108, 102800, 102944, 16556, 56051, 9174, 37271, 77181, 5486, 117384, 104087, 15024, 127303, 114598, 117382, 105755, 37656, 105184, 20230, 48154, 50021, 111813, 71289, 48154, 122984, 30512, 106084, 30369, 101200, 115717, 79721, 29295, 5486, 112185, 112185, 23226, 106594, 16144, 89783, 30590, 15682, 27384, 16995, 117083, 19732, 112391, 127280, 125939, 74482, 15682, 103359, 28190, 5486, 110191, 118372, 38093, 104760, 5486, 117384, 5486, 39850, 64178, 50667, 5486, 115707, 30512, 99397, 124059, 29220, 102803, 39880, 52414, 20230, 108446, 50928, 16995, 90620, 105784, 71289, 31431, 108167, 29295, 106084, 30369, 104466, 80988, 239, 105714, 31431, 106956, 38641, 9174, 567, 116056, 117876, 15682, 67645, 103171, 17792, 121254, 119188, 106046, 61689, 32149, 95532, 13177, 83125, 29295, 120111, 59712, 83125, 29295, 50928, 37689, 66383, 95604, 24273, 36785, 106046, 61689, 9174, 6109, 103857, 44971, 29220, 102514, 16144, 117876, 15682, 13177, 108044, 105262, 66383, 95604, 105908, 107693, 26854, 117876, 38641, 1811, 27452, 116285, 5486, 98897, 55723, 9458, 29172, 81742, 16144, 38574, 106090, 77181, 5486, 29220, 102803, 39880, 52414, 16144, 111681, 104482, 113115, 54926, 111090, 68408, 39880, 30512, 112690, 103306, 108044, 105262, 105908, 32018, 62004, 102204, 33541, 118855, 5486, 114835, 38574, 106090, 77181, 5486, 29220, 102803, 39880, 52414, 55031, 104908, 109768, 90620, 102334, 108134, 71289, 110577, 25359, 16144, 116229, 16144, 108134, 30512, 24186, 20230, 120953, 126693, 108152, 38248, 114, 11972, 29295, 53283, 31431, 106956, 108134, 30512, 109431, 102769, 20230, 108044, 58942, 110071, 32149, 78698, 107800, 31431, 5486, 29220, 102803, 39880, 52414, 19732, 114835, 124180, 16144, 80805, 25197, 57326, 107734, 103306, 125144, 50338, 30512, 21990, 17129, 100604, 108044, 58942, 24273, 30512, 78698, 107800, 31431, 78434, 9174, 51330, 104466, 5486, 6109, 103857, 44971, 29220, 102514, 112987, 111201, 78183, 107277, 126172, 47884, 108134, 30512, 108044, 105262, 32149, 29295, 107693, 26854, 57933, 108941, 38641 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 114397, 29295, 37705, 47000, 118765, 105879, 5486, 61633, 39926, 72315, 9174, 103963, 117943, 120273, 103664, 30512, 102971, 103854, 81219, 5486, 102181, 104770, 19967, 13153, 71289, 114940, 106053, 32938, 16144, 71289, 111842, 111331, 102717, 19732, 124592, 30512, 13870, 223, 106528, 101559, 29295, 31640, 23039, 39926, 124089, 105879, 108149, 112568, 116907, 29295, 17663, 125231, 109335, 77693, 108680, 43240, 47884, 124897, 9174, 110382, 126328, 5486, 102099, 105150, 106518, 30512, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 17905, 16556, 114652, 101182, 107750, 99397, 109853, 33334, 106608, 58942, 78434, 9174, 13870, 223, 106528, 101559, 29295, 30591, 112568, 117758, 103963, 117943, 30512, 64889, 30369, 126465, 15682, 108729, 9554, 102052, 124897, 9174, 80673, 5486, 88852, 120950, 126465, 77181, 64889, 110071, 125396, 32977, 57903, 33541, 9174, 13870, 223, 106528, 101559, 110792, 120273, 103664, 15682, 22023, 104577, 20230, 75146, 109669, 102532, 26854, 84389, 33541, 1811, 108703, 35330, 16144, 113385, 104309, 30512, 122984, 54926, 104468, 21555, 98, 101860, 32149, 102800, 120208, 32977, 101182, 32149, 110241, 33121, 107515, 29295, 5486, 37656, 74245, 20230, 76537, 43514, 31958, 76622, 17129, 109954, 9174, 88852, 120950, 126513, 46034, 106307, 50834, 16144, 108968, 16325, 16556, 13870, 223, 106528, 101559, 29295, 121355, 49988, 54926, 126465, 32977, 57903, 33541, 9174, 32335, 103167, 48249, 16144, 68759, 118567, 30813, 58942, 95221, 116825, 76622, 100481, 104984, 5486, 13870, 223, 106528, 101559, 29295, 121355, 49988, 54926, 126465, 15682, 124897, 105879, 51385, 64209, 39926, 72315, 9174, 102971, 105242, 55031, 95604, 19732, 5486, 102099, 105150, 106518, 16144, 46034, 106307, 50834, 126867, 13870, 223, 106528, 101559, 30512, 50338, 49988, 54926, 109335, 88367, 38641, 9174, 114225, 20230, 103283, 16144, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 32149, 5486, 113801, 106307, 50834, 105994, 16556, 46034, 106307, 50834, 30512, 126693, 115847, 103296, 103130, 109013, 46034, 106307, 50834, 29295, 71289, 31431, 74245, 17663, 109215, 32977, 103470, 106116, 110674, 120321, 106307, 88367, 38641, 9174, 90620, 15024, 5486, 100815, 46034, 35330, 15682, 114941, 76947, 50834, 107515, 15024, 121453, 102800, 13870, 223, 106528, 101559, 20230, 103963, 117943, 112990, 17, 30358, 16556, 100815, 46034, 35330, 30512, 46456, 124237, 78183, 123207, 105110, 100604, 28542, 15682, 113954, 39926, 33334, 50834, 17129, 109954, 9174, 102099, 105150, 106518, 15682, 25580, 18904, 55031, 22, 8107, 29295, 106613, 103188, 109768, 104984, 5486, 88356, 27479, 102782, 80195, 29295, 88367, 38641, 1811, 90620, 15024, 17, 18904, 118322, 102099, 105150, 106518, 16144, 107803, 5486, 114940, 106053, 32938, 55031, 103048, 113160, 16144, 110008, 31540, 30512, 50928, 30369, 102052, 102040, 65575, 33710, 29295, 45736, 115737, 31431, 33541, 9174, 26854, 112371, 105110, 88356, 102802, 108703, 35330, 29295, 104735, 101, 33503, 102189, 115517, 29295, 126920, 71289, 104004, 30512, 50928, 100604, 102944, 115287, 32149, 5486, 126920, 95543, 66870, 103792, 104865, 104405, 32149, 104309, 32977, 16906, 111, 106624, 117859, 112984, 107001, 125396, 29295, 45736, 47884, 109020, 55031, 38641, 9174, 58426, 103846, 5486, 16, 27479, 106613, 111186, 103792, 55031, 102083, 76947, 5486, 105994, 16556, 46034, 106307, 50834, 54926, 109335, 33334, 125683, 62004, 103082, 107515, 9174, 17, 18904, 118322, 102099, 105150, 106518, 109853, 15682, 88852, 16144, 77219, 16556, 50520, 111, 106624, 50338, 108323, 127145, 9174, 102099, 105150, 106518, 15682, 114940, 106053, 32938, 110792, 111108, 50338, 26854, 46034, 106307, 50834, 30512, 106613, 38144, 101200, 71289, 47884, 108703, 35330, 30512, 103470, 17663, 105908, 125545, 9174, 107943, 126101, 117943, 31431, 108176, 112973, 112424, 16144, 114363, 103722, 46729, 103195, 13870, 223, 106528, 101559, 220, 38641, 9174, 13870, 223, 106528, 101559, 20230, 103963, 117943, 54926, 39850, 37823, 67075, 15682, 88852, 16144, 19, 59739, 38641, 9174, 102099, 105150, 106518, 123410, 17905, 16556, 13870, 223, 106528, 101559, 106382, 11883, 15682, 102750, 48552, 106046, 126832, 32149, 110241, 33121, 107515, 29295, 5486, 106382, 11883, 30512, 124237, 30297, 41007, 112987, 47884, 59739, 32149, 57903, 33541, 9174, 127177, 50338, 104662, 41007, 30512, 96412, 107436, 127637, 50021, 111813, 39926, 64121, 30369, 106592, 33334, 125683, 62004, 78434, 1811, 128001, 128000, 2, 118942, 110362, 97518, 89046, 77219, 9458, 101335, 65299, 102040, 65299, 198, 567, 111789, 113638, 16325, 16144, 13177, 110423, 22649, 66383, 13177, 40452, 111329, 14711, 111789, 113638, 16325, 16144, 13177, 110423, 22649, 66383, 13177, 40452, 111329, 25580, 18904, 17129, 77181, 5486, 126521, 46729, 30512, 26892, 125655, 103846, 102052, 127178, 16325, 16144, 110423, 22649, 29295, 27384, 102769, 16556, 106116, 103846, 102052, 13177, 110423, 22649, 121101, 103057, 29245, 245, 120273, 103664, 102181, 66383, 13177, 107693, 30926, 105904, 122984, 102181, 10646, 20230, 61633, 39926, 72315, 102677, 87177, 30512, 102181, 50834, 79721, 9174, 51330, 87177, 30512, 112990, 59614, 101860, 13177, 2118, 110423, 22649, 863, 15682, 37656, 105184, 102052, 2118, 40452, 863, 16144, 56965, 121953, 77181, 124897, 32149, 91006, 102677, 48154, 105284, 99397, 30512, 16995, 90620, 50834, 33541, 9174, 105184, 111201, 127178, 102321, 75267, 102052, 13177, 102321, 75267, 40452, 30046, 66383, 95604, 107734, 118322, 114754, 61689, 113637, 116537, 127178, 108695, 16144, 61337, 102351, 103195, 105908, 102717, 19732, 124592, 16556, 106116, 107734, 30832, 15682, 43240, 119064, 107430, 17792, 98369, 71289, 17297, 109311, 108695, 29295, 102321, 75267, 117158, 124629, 54926, 16325, 106116, 104873, 64531, 30512, 39926, 104010, 33035, 112586, 102321, 75267, 29295, 103130, 104004, 104466, 2118, 40452, 863, 54926, 100909, 38641, 1811, 67645, 16144, 110480, 87217, 20230, 34048, 103234, 30512, 17701, 111600, 15024, 5486, 67645, 16144, 107430, 17792, 98369, 20230, 108064, 55031, 37507, 111243, 33503, 30297, 32149, 104309, 30512, 104873, 64531, 54926, 107693, 26854, 107734, 30832, 38641, 9174, 80673, 110371, 116537, 22656, 37507, 16144, 2118, 110423, 22649, 30046, 863, 77181, 124897, 1811, 110423, 22649, 15682, 110423, 22649, 127178, 101559, 121944, 23039, 78183, 123207, 105110, 100604, 100909, 117084, 61689, 9174, 29295, 5486, 108618, 104611, 106272, 102321, 75267, 16556, 2118, 40452, 30046, 863, 104088, 32149, 105784, 109335, 30591, 114598, 93056, 110423, 22649, 30046, 863, 104088, 32149, 105784, 109335, 102717, 19732, 124592, 124897, 9174, 51330, 30591, 115926, 5486, 126521, 46729, 29295, 108608, 32149, 104405, 111201, 119448, 47884, 97518, 78183, 76947, 50834, 33541, 105879, 5486, 21043, 66776, 198, 2118, 110423, 22649, 30046, 863, 29295, 67645, 16144, 107507, 101198, 94550, 16556, 99849, 18904, 108680, 37507, 38144, 124089, 104865, 5486, 114392, 114140, 39926, 33334, 47884, 109215, 107407, 16144, 38641, 9174, 126783, 50021, 111813, 120690, 220, 106691, 18655, 126233, 107734, 114147, 101129, 111828, 117406, 198, 11144, 104654, 16144, 110482, 100472, 30512, 50021, 111813, 39926, 30591, 25827, 15024, 25827, 6447, 112479, 48154, 50021, 111813, 58246, 48154, 105284, 99397, 58246, 48154, 31634, 103192, 15682, 17297, 61304, 103296, 106369, 95221, 117355, 20230, 104405, 108422, 106609, 827, 106369, 125683, 62004, 66378, 43167, 198, 126909, 16144, 101182, 46729, 30512, 57933, 108941, 103283, 20230, 48154, 126362, 54926, 66378, 43167, 77219, 38641, 1811, 26892, 125655, 104983, 16144, 120098, 71289, 5486, 53283, 76947, 33334, 105898, 16995, 61633, 28542, 104309, 5486, 108134, 112624, 107121, 6447, 128001, 128000, 12, 112697, 103202, 40081, 12, 47702, 94, 11883, 108134, 40081, 12, 120616, 101477, 102, 61337, 102351, 126362, 40081, 12, 110045, 76428, 122258, 68759, 38248, 109, 103906, 94550, 34048, 125677, 111338, 119619, 89151, 198, 2, 5000, 116229, 114835, 16556, 29220, 102803, 39880, 52414, 16144, 91482, 76428, 102750, 22398, 20230, 80631, 95, 112500, 56051, 16995, 198, 567, 117826, 19000, 16144, 117876, 44915, 30512, 100927, 107290, 72315, 9174, 6109, 116229, 16144, 106391, 13153, 71289, 47260, 108304, 119495, 16144, 111800, 118219, 5486, 29220, 102803, 39880, 52414, 111363, 29172, 81742, 71289, 37689, 91774, 104873, 64531, 5486, 102803, 102514, 110792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 16073, 104309, 117824, 16995, 5486, 6109, 116229, 126636, 20119, 254, 126694, 30369, 117876, 30512, 127145, 9174, 27452, 116285, 5486, 121846, 116229, 71289, 114300, 40862, 43511, 61337, 16144, 104873, 112984, 5486, 105156, 82420, 109544, 16144, 110226, 43167, 104309, 117824, 100472, 31431, 5486, 29220, 102803, 39880, 52414, 55031, 103350, 104983, 20230, 107461, 39880, 122835, 117824, 76947, 111681, 104482, 30512, 31958, 33503, 111201, 56051, 111842, 5486, 23039, 30297, 109335, 43240, 104091, 43240, 103826, 38641, 9174, 103350, 104983, 20230, 121159, 30512, 102181, 102334, 31431, 68408, 126590, 126694, 13153, 56051, 31431, 15682, 103801, 72342, 25827, 29295, 5486, 108152, 38248, 114, 11972, 111363, 122502, 50834, 71289, 6109, 116229, 113468, 50928, 110071, 13153, 28873, 30512, 122074, 109669, 105784, 107693, 26854, 117876, 38641, 9174, 567, 114424, 61337, 16144, 50834, 42891, 126929, 30512, 100927, 107290, 72315, 9174, 81258, 107430, 112415, 16144, 40265, 39177, 36896, 17792, 19732, 43240, 47884, 97518, 78183, 30369, 117876, 59712, 127091, 126694, 30369, 117876, 66383, 95604, 100818, 116, 16556, 117876, 30512, 106767, 126020, 5486, 107943, 16325, 5486, 81258, 76706, 116229, 16556, 115018, 61994, 20834, 38093, 100472, 112973, 114741, 107446, 16144, 6109, 103857, 44971, 29220, 102514, 102677, 117876, 16556, 56051, 9174, 107118, 16995, 58942, 5486, 102667, 113146, 16144, 48864, 34048, 15682, 25333, 48864, 34048, 19732, 5486, 6109, 107118, 102057, 223, 32977, 106644, 107277, 32977, 57903, 105823, 104127, 56051, 55031, 5486, 83747, 26854, 55031, 101860, 127408, 32977, 57903, 79721, 1811, 107943, 127408, 30512, 26955, 255, 16995, 86436, 30369, 105908, 103082, 28713, 104468, 102647, 78698, 16556, 110284, 56051, 76171, 102514, 16073, 57207, 103830, 16556, 56051, 9174, 76171, 102514, 16073, 57207, 103830, 77181, 5486, 6109, 39442, 106613, 111186, 16144, 86127, 125030, 76947, 85707, 107436, 16144, 100909, 71289, 53283, 110104, 100909, 16144, 89046, 106307, 16556, 56051, 119520, 5486, 78183, 124403, 106592, 105284, 99397, 112990, 5486, 115364, 117876, 30512, 103792, 32335, 16325, 105352, 97518, 78183, 121140, 61826, 101477, 102, 127282, 85701, 72661, 32149, 19732, 112844, 108680, 104622, 106624, 104257, 121370, 20230, 122984, 30512, 39926, 120700, 79721, 113637, 105908, 50834, 42891, 126929, 16556, 36896, 51330, 108695, 103351, 33503, 39442, 106613, 111186, 16144, 105994, 72661, 13153, 101544, 109768, 105784, 32149, 121061, 66383, 113727, 5486, 114741, 107446, 109156, 61337, 30512, 104662, 62004, 79721, 9174, 567, 116056, 117876, 30512, 39926, 102532, 16144, 71289, 31431, 125001, 30512, 100927, 107290, 72315, 9174, 13177, 61648, 117503, 112661, 56965, 29295, 127181, 105908, 71289, 31431, 125001, 112028, 59739, 36785, 106046, 61689, 9174, 6109, 116229, 30512, 114835, 54926, 17905, 16556, 102404, 21990, 54926, 19967, 101275, 15682, 43240, 58699, 238, 20230, 78183, 115926, 33541, 124845, 106116, 17620, 103378, 13177, 61648, 117503, 112661, 56965, 115991, 33541, 1811, 27452, 116285, 112160, 118821, 122481, 126694, 104533, 50834, 102052, 5486, 106391, 13153, 81742, 16144, 61648, 5486, 53229, 83932, 110226, 43167, 57207, 84477, 16144, 61648, 5486, 18655, 103234, 9458, 125152, 58322, 109544, 16144, 19967, 13153, 5486, 83125, 16144, 37823, 119744, 16144, 61648, 104309, 5486, 43240, 119064, 13177, 61648, 10646, 29295, 102404, 21990, 15024, 106116, 28713, 102802, 20230, 104067, 13153, 99750, 30512, 112391, 30369, 105908, 125545, 9174, 53900, 5486, 6109, 116229, 37087, 33014, 29295, 61648, 15024, 5486, 29220, 102803, 39880, 52414, 20230, 104940, 104127, 16995, 90620, 107674, 110018, 16144, 104067, 13153, 99750, 15682, 117119, 102944, 105352, 31640, 58942, 29295, 106956, 38641, 9174, 567, 102542, 228, 20230, 27384, 104721, 5486, 110482, 111108, 103351, 109335, 95532, 17701, 61337, 40265, 85707, 15682, 5486, 117384, 104087, 15024, 16556, 29220, 102803, 39880, 52414, 71289, 102803, 102514, 19732, 71289, 31431, 108167, 123410, 112973, 107202, 46034, 16556, 107202, 8239, 112, 121256, 9174, 57326, 102803, 102832, 84477, 16556, 33334, 72516, 20230, 120999, 16144, 117384, 30512, 17701, 104028, 120266, 17663, 33503, 107188, 31431, 107202, 46034, 37689, 109375, 122291, 103846, 5486, 117384, 104087, 15024, 16556, 107750, 99397, 107898, 103899, 58942, 56051, 31431, 5486, 125144, 50338, 29295, 21990, 17129, 110615, 104466, 37656, 105184, 20230, 31634, 14558, 30512, 108044, 107800, 31431, 54926, 109335, 101067, 66201, 71689, 20230, 111108, 102800, 102944, 16556, 56051, 9174, 37271, 77181, 5486, 117384, 104087, 15024, 127303, 114598, 117382, 105755, 37656, 105184, 20230, 48154, 50021, 111813, 71289, 48154, 122984, 30512, 106084, 30369, 101200, 115717, 79721, 29295, 5486, 112185, 112185, 23226, 106594, 16144, 89783, 30590, 15682, 27384, 16995, 117083, 19732, 112391, 127280, 125939, 74482, 15682, 103359, 28190, 5486, 110191, 118372, 38093, 104760, 5486, 117384, 5486, 39850, 64178, 50667, 5486, 115707, 30512, 99397, 124059, 29220, 102803, 39880, 52414, 20230, 108446, 50928, 16995, 90620, 105784, 71289, 31431, 108167, 29295, 106084, 30369, 104466, 80988, 239, 105714, 31431, 106956, 38641, 9174, 567, 116056, 117876, 15682, 67645, 103171, 17792, 121254, 119188, 106046, 61689, 32149, 95532, 13177, 83125, 29295, 120111, 59712, 83125, 29295, 50928, 37689, 66383, 95604, 24273, 36785, 106046, 61689, 9174, 6109, 103857, 44971, 29220, 102514, 16144, 117876, 15682, 13177, 108044, 105262, 66383, 95604, 105908, 107693, 26854, 117876, 38641, 1811, 27452, 116285, 5486, 98897, 55723, 9458, 29172, 81742, 16144, 38574, 106090, 77181, 5486, 29220, 102803, 39880, 52414, 16144, 111681, 104482, 113115, 54926, 111090, 68408, 39880, 30512, 112690, 103306, 108044, 105262, 105908, 32018, 62004, 102204, 33541, 118855, 5486, 114835, 38574, 106090, 77181, 5486, 29220, 102803, 39880, 52414, 55031, 104908, 109768, 90620, 102334, 108134, 71289, 110577, 25359, 16144, 116229, 16144, 108134, 30512, 24186, 20230, 120953, 126693, 108152, 38248, 114, 11972, 29295, 53283, 31431, 106956, 108134, 30512, 109431, 102769, 20230, 108044, 58942, 110071, 32149, 78698, 107800, 31431, 5486, 29220, 102803, 39880, 52414, 19732, 114835, 124180, 16144, 80805, 25197, 57326, 107734, 103306, 125144, 50338, 30512, 21990, 17129, 100604, 108044, 58942, 24273, 30512, 78698, 107800, 31431, 78434, 9174, 51330, 104466, 5486, 6109, 103857, 44971, 29220, 102514, 112987, 111201, 78183, 107277, 126172, 47884, 108134, 30512, 108044, 105262, 32149, 29295, 107693, 26854, 57933, 108941, 38641 ]
[ 109807, 103846, 102052, 5486, 103892, 107809, 117083, 106592, 83125, 103306, 83799, 117657, 105908, 109215, 26854, 103846, 5486, 83125, 113115, 39926, 25580, 70141, 50834, 103195, 105908, 109215, 36785, 106046, 61689, 9174, 567, 116564, 74482, 114099, 102669, 56051, 16995, 106592, 100927, 107290, 72315, 9174, 17792, 30512, 91875, 32149, 17663, 6109, 116229, 30512, 114835, 56051, 16995, 19732, 78698, 107290, 61689, 9174, 122571, 81258, 107430, 112415, 16144, 40265, 39177, 5486, 81258, 76706, 116229, 71289, 114435, 116229, 16556, 108134, 30512, 110226, 43167, 15024, 114741, 107446, 16144, 122984, 38093, 71289, 118935, 11883, 106081, 111186, 20230, 110284, 121256, 1811, 86127, 103306, 15682, 6109, 116229, 17905, 16144, 108134, 30512, 76706, 11883, 56051, 103378, 16144, 59739, 123731, 16556, 56051, 29295, 5486, 91774, 24273, 30512, 104721, 58942, 104984, 6109, 116229, 17905, 16144, 108134, 29295, 86127, 30512, 91875, 32149, 56051, 19732, 78698, 105262, 115789, 125545, 113637, 104466, 108134, 102052, 17792, 30512, 91875, 32149, 17663, 76739, 124643, 104603, 11972, 115991, 5486, 6109, 116229, 102052, 58426, 76739, 124643, 104603, 11972, 30512, 112366, 48249, 20230, 76706, 11883, 54926, 125396, 115991, 33541, 9174, 58426, 103846, 5486, 6109, 116229, 16144, 114835, 30512, 33035, 39926, 108134, 16144, 69978, 59739, 123457, 112366, 48249, 113801, 121216, 5486, 29220, 102803, 39880, 52414, 16144, 91482, 76428, 102750, 22398, 20230, 80631, 95, 112500, 56051, 16995, 19732, 78698, 107290, 61689, 9174, 567, 83639, 123090, 114741, 107446, 16144, 53901, 112495, 110229, 106609, 61337, 123727, 25132, 108, 116310, 95221, 71289, 104157, 64209, 30590, 29295, 103424, 47884, 5486, 53900, 5486, 124180, 103306, 16144, 89046, 115351, 99750, 107407, 110229, 38641, 9174, 17701, 61337, 25580, 15682, 5486, 964, 114435, 77181, 38093, 87177, 104309, 43568, 47884, 30868, 247, 104680, 19732, 55723, 28190, 121254, 32149, 103836, 102944, 36785, 106046, 107462, 79721, 29295, 5486, 103350, 104983, 15682, 107943, 109335, 103470, 114318, 111243, 34208, 71289, 107188, 25132, 108, 116310, 95221, 107809, 117876, 123410, 105908, 103082, 127280, 9174, 102718, 104655, 15682, 15120, 91774, 20230, 67016, 101860, 1811, 126843, 15682, 108695, 122984, 38093, 71289, 76171, 102514, 16073, 57207, 103830, 20230, 110284, 39926, 64121, 38144, 72315, 9174, 567, 220, 16, 117073, 22398, 102663, 115478, 64178, 198, 91, 24, 25, 410, 198, 91, 20834, 61337, 5486, 39850, 64178, 116696, 48552, 198, 91, 24, 25, 966, 198, 91, 114835, 111681, 37087, 33014, 101198, 117675, 94550, 198, 55999, 19361, 30926, 105904, 16144, 89046, 117139, 71289, 102208, 81742, 14558, 16144, 103130, 15017, 245, 127749, 16144, 114140, 117824, 61689, 9174, 91, 605, 25, 410, 198, 91, 29220, 102803, 39880, 52414, 111363, 48154, 89046, 117139, 198, 18655, 103234, 9458, 125152, 58322, 5486, 53229, 83932, 46456, 110698, 112197, 124730, 104309, 103826, 104680, 26854, 71289, 31431, 108167, 115991, 33541, 9174, 91, 605, 25, 966, 198, 91, 40265, 117073, 117876, 198, 6109, 116229, 16144, 106391, 13153, 81742, 16144, 111800, 118219, 5486, 91875, 19967, 111800, 110322, 5486, 53229, 83932, 16144, 64531, 22649, 104309, 5486, 103826, 104680, 26854, 117876, 115991, 33541, 9174, 91, 717, 25, 410, 198, 91, 11881, 120, 102456, 198, 60358, 47884, 107898, 46034, 119400, 26854, 115320, 102456, 72516, 29295, 43240, 47884, 5486, 42016, 23538, 71289, 61826, 101477, 102, 19732, 93488, 78459, 102677, 115789, 21105, 108, 21105, 108, 9174, 91, 1032, 25, 410, 198, 91, 39850, 64178, 116696, 48552, 5486, 29220, 102803, 39880, 52414, 111363, 48154, 89046, 117139, 198, 91, 1032, 25, 966, 198, 91, 117876, 88356, 87447, 198, 35424, 112772, 113801, 106307, 50834, 5486, 19967, 101275, 30512, 103130, 62004, 100481, 50834, 33541, 1811, 29220, 102803, 39880, 52414, 16144, 110229, 102416, 17885, 118, 30297, 115789, 57903, 33541, 9174, 91, 1114, 25, 410, 198, 91, 114140, 19967, 101275, 198, 40265, 9080, 16325, 16144, 19967, 101275, 16556, 113487, 76622, 118487, 33121, 119703, 32149, 114140, 78434, 9174, 91, 972, 25, 410, 198, 91, 56906, 61337, 128001, 128000, 567, 83639, 60358, 16144, 108156, 95001, 127268, 16144, 91875, 50834, 30512, 104770, 25287, 33208, 198, 127284, 115274, 101911, 107809, 72661, 1049, 9080, 127284, 115274, 101911, 15682, 43240, 119064, 126330, 46729, 29295, 20251, 44971, 102860, 16144, 19361, 126120, 34171, 30512, 114140, 54926, 64467, 105888, 103306, 103926, 11883, 54926, 19361, 13372, 26854, 64467, 105888, 38641, 1811, 102616, 16144, 108156, 29430, 127268, 30512, 13177, 102321, 112603, 66383, 13177, 1049, 9080, 127284, 115274, 101911, 66383, 16144, 82912, 116690, 16556, 125261, 39926, 64121, 17129, 109954, 1811, 102321, 112603, 104971, 1049, 9080, 10110, 78659, 65459, 102321, 112603, 104023, 1049, 9080, 10110, 16325, 65459, 102321, 112603, 83354, 1049, 9080, 10110, 65917, 7705, 38641, 1811, 127268, 121507, 71289, 122225, 104309, 15682, 107188, 31431, 21555, 96, 37689, 9554, 101983, 103836, 28542, 5486, 48154, 37729, 28425, 99, 72315, 1811, 126738, 111134, 52591, 15682, 717, 9953, 17, 9080, 103296, 5486, 100783, 239, 101911, 15682, 103188, 86436, 1049, 9080, 56965, 16144, 111575, 112603, 5486, 109657, 101911, 15682, 32335, 51385, 112603, 38641, 9174, 78659, 118953, 107610, 29295, 104873, 64531, 103792, 113385, 15682, 90962, 101198, 110305, 16073, 107118, 43568, 116690, 16556, 5486, 102159, 103283, 31634, 63212, 119775, 91774, 58942, 33541, 1811, 116137, 29504, 127359, 44971, 38248, 115, 39880, 32977, 51330, 118953, 107610, 1811, 110022, 100204, 38144, 39880, 125581, 120328, 29504, 29295, 127181, 112973, 66378, 17599, 112, 38641, 1811, 39880, 125581, 120328, 29504, 20230, 55999, 33035, 54926, 103283, 16144, 31634, 63212, 107407, 104865, 110241, 33121, 107515, 9174, 16325, 118953, 107610, 15682, 1049, 9080, 101911, 29295, 37689, 109375, 110731, 118953, 107610, 38641, 1811, 37656, 104611, 75267, 102083, 100472, 110229, 123253, 32149, 1811, 104987, 103181, 102669, 30512, 103721, 108, 31431, 108285, 102639, 100934, 29504, 71289, 127268, 29295, 81742, 48915, 127181, 112973, 37271, 16144, 102616, 16144, 108156, 29430, 117903, 38641, 1811, 25197, 104603, 112997, 5486, 90962, 125913, 32131, 104612, 5486, 42634, 114741, 104309, 29295, 40265, 38144, 15682, 109709, 33541, 9174, 65917, 118953, 107610, 32977, 104873, 64531, 16325, 119627, 5486, 102159, 103283, 16144, 57326, 112718, 31634, 63212, 16556, 119870, 64121, 19732, 67645, 17129, 103836, 104466, 91774, 58942, 33541, 1811, 126507, 57933, 29220, 39276, 29295, 30832, 118013, 33541, 9174, 126330, 122225, 102052, 102159, 103283, 31634, 63212, 19732, 68759, 38248, 109, 67075, 16144, 55999, 33035, 31634, 63212, 16144, 41920, 59739, 109853, 66378, 23187, 19732, 107624, 95001, 29295, 109215, 38641, 1811, 90620, 66378, 23187, 32977, 107624, 95001, 32977, 36668, 114181, 29295, 17701, 76947, 114732, 105879, 36896, 114939, 107471, 26274, 255, 30813, 10646, 55031, 110074, 104028, 109335, 103082, 107515, 101832, 1811, 32307, 17792, 101682, 76622, 54926, 47260, 39850, 108304, 120770, 107118, 5486, 114939, 107471, 26274, 255, 30813, 30512, 58318, 58942, 101860, 20230, 108323, 50928, 109904, 104760, 105242, 29295, 77413, 87447, 108608, 17792, 26854, 105879, 109954, 9174, 567, 650, 5511, 16144, 91774, 24273, 9458, 33655, 16995, 24273, 198, 58426, 53, 5511, 15682, 37271, 111299, 89408, 25963, 18904, 30832, 117282, 966, 4, 55038, 102416, 17905, 123716, 15024, 5486, 53, 5511, 61826, 53953, 71493, 109229, 15682, 102717, 109416, 52591, 32131, 67075, 115717, 79721, 1811, 113385, 15682, 90962, 101198, 110305, 16073, 38641, 1811, 89408, 16144, 115274, 112603, 15682, 777, 13, 20, 4, 5486, 117032, 16144, 71493, 109229, 83799, 103397, 15682, 65917, 114948, 115442, 111331, 103846, 115515, 16144, 68759, 38248, 109, 67075, 15682, 126330, 46729, 29295, 107188, 31431, 56906, 119188, 121894, 38641, 1811, 71493, 109229, 83799, 103397, 29295, 65917, 114948, 17297, 29295, 31431, 111769, 103846, 108008, 30926, 107328, 102494, 65575, 77181, 124897, 9174, 567, 103891, 103087, 46729, 15682, 15120, 114050, 45923, 16073, 113801, 102494, 65575, 108176, 104865, 11571, 77693, 107173, 104970, 120544, 110783, 110095, 30512, 100783, 102, 109315, 104865, 95532, 108618, 104611, 106272, 53, 5511, 32977, 1049, 9080, 127284, 115274, 101911, 32977, 103899, 58942, 30512, 100927, 107290, 120700, 107515, 119520, 110284, 30046, 15682, 110577, 117083, 113314, 16144, 109161, 108321, 30512, 110577, 20230, 111887, 31431, 104526, 104127, 61689, 1811, 9080, 34208, 76947, 104369, 25827, 80172, 102639, 54926, 105755, 15682, 5486, 82973, 100818, 116, 16144, 101544, 30813, 102677, 121568, 126330, 46729, 16144, 112366, 16144, 104195, 64121, 30512, 21990, 32149, 39926, 108882, 64121, 115079, 56051, 24273, 29295, 50928, 105226, 20230, 91763, 58942, 33541, 1811, 128001, 128000, 101402, 107873, 101426, 102404, 101721, 16144, 106839, 17701, 30512, 115924, 103359, 19653, 124545, 113009, 198, 108936, 112535, 101402, 107873, 101426, 102404, 101721, 30512, 106839, 17701, 54926, 104983, 20230, 5486, 105994, 126027, 118006, 16556, 67645, 16144, 113314, 16144, 102944, 30512, 106839, 17701, 127564, 104712, 104865, 5486, 122225, 20230, 109440, 30297, 100909, 106046, 61689, 9174, 103350, 104983, 20230, 106839, 17701, 54926, 110018, 102052, 103826, 104680, 26854, 120098, 115991, 33541, 29295, 5486, 115274, 112535, 115364, 46729, 16144, 8107, 56965, 101721, 95221, 38129, 33857, 16144, 23, 111017, 55031, 24, 111017, 113314, 30512, 71493, 110590, 108608, 101200, 101983, 107462, 104533, 5486, 108038, 20230, 101402, 107873, 101426, 102404, 101721, 30512, 104356, 103306, 102395, 109431, 20230, 102404, 101721, 16144, 107743, 122393, 114475, 105784, 105908, 88367, 102083, 58942, 33541, 9174, 103350, 104983, 20230, 115274, 112535, 108936, 118006, 16144, 115274, 109904, 101721, 95221, 38129, 33857, 102677, 104468, 198, 9, 103664, 3443, 15, 55031, 2636, 15, 29700, 9, 103195, 102083, 61689, 9174, 58426, 103846, 5486, 102571, 102831, 120938, 20230, 102332, 22324, 39926, 33334, 47884, 109215, 107407, 101402, 107873, 101426, 80805, 124643, 103306, 84851, 103130, 110731, 112973, 104662, 17129, 76947, 50834, 33541, 9174, 107118, 16995, 58942, 5486, 103911, 70203, 123160, 72368, 40862, 32977, 57903, 33541, 105879, 5486, 115274, 112535, 108167, 122382, 125398, 102944, 103306, 5486, 18, 29700, 71289, 18, 13, 17, 29700, 104309, 5486, 115251, 17905, 17297, 54926, 115789, 43240, 117714, 38641, 9174, 107118, 16995, 58942, 108048, 72661, 114392, 118006, 32943, 113245, 101402, 107873, 101426, 102404, 101721, 103306, 5486, 114392, 46729, 82420, 30512, 103129, 105784, 122416, 32149, 5486, 104654, 28190, 113245, 80631, 107, 35330, 30512, 32977, 115079, 126172, 105908, 108608, 50834, 42891, 126929, 108176, 102083, 58942, 33541, 9174, 103350, 104983, 20230, 103826, 104680, 26854, 104662, 62004, 46034, 107809, 72661, 101721, 95221, 33420, 106382, 33857, 19732, 102404, 101721, 33857, 16144, 116690, 34171, 113468, 5486, 106839, 17701, 54926, 109215, 34171, 16144, 126574, 80805, 124643, 102677, 102944, 15682, 48706, 127145, 9174, 53900, 5486, 102741, 108994, 113390, 102750, 114615, 72238, 103234, 104309, 113468, 32977, 108901, 26854, 100472, 102404, 101721, 33857, 104856, 76947, 50834, 33541, 105879, 5486, 112371, 104328, 114140, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 125261, 9554, 102404, 101721, 33857, 16144, 126574, 80805, 124643, 30512, 108882, 110993, 112535, 106839, 17701, 56051, 16995, 105879, 30591, 104984, 5486, 112371, 104328, 124773, 123437, 67075, 16144, 198, 125261, 116229, 30512, 76706, 11883, 39926, 64121, 30369, 105908, 27384, 102769, 38641, 9174, 103350, 104983, 20230, 114140, 54926, 110018, 102052, 5486, 72238, 103234, 123160, 121432, 29295, 114392, 114140, 108608, 116229, 30512, 76706, 11883, 54926, 118733, 5486, 102404, 101721, 33857, 29295, 43240, 47884, 5486, 102404, 101721, 80805, 124643, 29295, 103167, 121374, 16556, 106839, 17701, 108608, 102944, 30512, 108882, 110993, 112535, 121507, 54926, 105908, 27384, 102769, 26854, 120098, 38641, 9174, 58426, 103846, 5486, 108608, 48249, 31431, 102404, 101721, 57207, 119263, 44971, 38248, 115, 78205, 16073, 30512, 114225, 117158, 17663, 105908, 108608, 116229, 30512, 108882, 110993, 112535, 76706, 11883, 103801, 109954, 9174, 103350, 104983, 20230, 67645, 16144, 113314, 8107, 56965, 16556, 102404, 101721, 54926, 104865, 30512, 113954, 39926, 33334, 47884, 109335, 5486, 105184, 103350, 20230, 105994, 105459, 16556, 102395, 109431, 20230, 103188, 48154, 17663, 105908, 108608, 50834, 42891, 126929, 121711, 33541, 9174, 22023, 117943, 34171, 16144, 126574, 114435, 16144, 102404, 101721, 80805, 124643, 15682, 109242, 9039, 57903, 33541, 105879, 5486, 105994, 126027, 104654, 117501, 20230, 32335, 109431, 26854, 102944, 30512, 102647, 104369, 103846, 102052, 5486, 30926, 112772, 91774, 108882, 123731, 104309, 30512, 76706, 11883, 54926, 115789, 108882, 110993, 112535, 111800, 118219, 39926, 33334, 47884, 100909, 127105, 5486, 32335, 103424, 16144, 113702, 30512, 32977, 127567, 17663, 113009, 109215, 26854, 100909, 38641, 1811, 128001, 128000, 103350, 15682, 52030, 106528, 104599, 102677, 117876, 15682, 19732, 111243, 27384, 104721, 38641, 9174, 17701, 94923, 56051, 105908, 100604, 19732, 78183, 124403, 119150, 105879, 5486, 102677, 123017, 112418, 116907, 5486, 59739, 16995, 118899, 16144, 25197, 104603, 112997, 113245, 17701, 94923, 5486, 80805, 84477, 118567, 29295, 52030, 106528, 104599, 103195, 100909, 55031, 118899, 101200, 71289, 47884, 95221, 47000, 102334, 102083, 100472, 110229, 38641, 9174, 85701, 103296, 109156, 94923, 30512, 18, 18904, 102433, 16556, 106613, 111186, 56051, 100909, 5486, 16, 18904, 30512, 25197, 104603, 112997, 16556, 106613, 111186, 56051, 100909, 55031, 112391, 30369, 52030, 106528, 104599, 16144, 117876, 109853, 112160, 89753, 16144, 52030, 106528, 104599, 107118, 104405, 95604, 102944, 32149, 30512, 121648, 30832, 101911, 16556, 33334, 87177, 15024, 109768, 118145, 106046, 61689, 9174, 17701, 94923, 123410, 110018, 20230, 16, 87217, 33334, 101083, 87177, 108176, 112973, 52030, 106528, 104599, 38641, 1811, 104473, 107654, 111800, 112984, 126198, 31431, 104473, 121819, 30512, 111629, 100472, 31431, 5486, 112418, 127303, 104984, 118322, 71005, 109519, 111848, 17701, 94923, 29295, 43240, 102518, 105879, 5486, 16, 87217, 104328, 67645, 16995, 110018, 102052, 16, 82973, 48154, 19732, 20230, 28542, 102701, 30512, 21105, 103, 118145, 16995, 76622, 105823, 104127, 56051, 9174, 16, 82973, 48154, 19732, 20230, 52030, 106528, 104599, 19732, 115499, 40862, 78183, 17663, 16144, 119627, 5486, 17701, 94923, 103792, 17792, 16556, 33014, 15682, 24186, 95221, 72661, 39850, 114483, 33710, 112535, 120175, 104526, 126559, 17792 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 109807, 103846, 102052, 5486, 103892, 107809, 117083, 106592, 83125, 103306, 83799, 117657, 105908, 109215, 26854, 103846, 5486, 83125, 113115, 39926, 25580, 70141, 50834, 103195, 105908, 109215, 36785, 106046, 61689, 9174, 567, 116564, 74482, 114099, 102669, 56051, 16995, 106592, 100927, 107290, 72315, 9174, 17792, 30512, 91875, 32149, 17663, 6109, 116229, 30512, 114835, 56051, 16995, 19732, 78698, 107290, 61689, 9174, 122571, 81258, 107430, 112415, 16144, 40265, 39177, 5486, 81258, 76706, 116229, 71289, 114435, 116229, 16556, 108134, 30512, 110226, 43167, 15024, 114741, 107446, 16144, 122984, 38093, 71289, 118935, 11883, 106081, 111186, 20230, 110284, 121256, 1811, 86127, 103306, 15682, 6109, 116229, 17905, 16144, 108134, 30512, 76706, 11883, 56051, 103378, 16144, 59739, 123731, 16556, 56051, 29295, 5486, 91774, 24273, 30512, 104721, 58942, 104984, 6109, 116229, 17905, 16144, 108134, 29295, 86127, 30512, 91875, 32149, 56051, 19732, 78698, 105262, 115789, 125545, 113637, 104466, 108134, 102052, 17792, 30512, 91875, 32149, 17663, 76739, 124643, 104603, 11972, 115991, 5486, 6109, 116229, 102052, 58426, 76739, 124643, 104603, 11972, 30512, 112366, 48249, 20230, 76706, 11883, 54926, 125396, 115991, 33541, 9174, 58426, 103846, 5486, 6109, 116229, 16144, 114835, 30512, 33035, 39926, 108134, 16144, 69978, 59739, 123457, 112366, 48249, 113801, 121216, 5486, 29220, 102803, 39880, 52414, 16144, 91482, 76428, 102750, 22398, 20230, 80631, 95, 112500, 56051, 16995, 19732, 78698, 107290, 61689, 9174, 567, 83639, 123090, 114741, 107446, 16144, 53901, 112495, 110229, 106609, 61337, 123727, 25132, 108, 116310, 95221, 71289, 104157, 64209, 30590, 29295, 103424, 47884, 5486, 53900, 5486, 124180, 103306, 16144, 89046, 115351, 99750, 107407, 110229, 38641, 9174, 17701, 61337, 25580, 15682, 5486, 964, 114435, 77181, 38093, 87177, 104309, 43568, 47884, 30868, 247, 104680, 19732, 55723, 28190, 121254, 32149, 103836, 102944, 36785, 106046, 107462, 79721, 29295, 5486, 103350, 104983, 15682, 107943, 109335, 103470, 114318, 111243, 34208, 71289, 107188, 25132, 108, 116310, 95221, 107809, 117876, 123410, 105908, 103082, 127280, 9174, 102718, 104655, 15682, 15120, 91774, 20230, 67016, 101860, 1811, 126843, 15682, 108695, 122984, 38093, 71289, 76171, 102514, 16073, 57207, 103830, 20230, 110284, 39926, 64121, 38144, 72315, 9174, 567, 220, 16, 117073, 22398, 102663, 115478, 64178, 198, 91, 24, 25, 410, 198, 91, 20834, 61337, 5486, 39850, 64178, 116696, 48552, 198, 91, 24, 25, 966, 198, 91, 114835, 111681, 37087, 33014, 101198, 117675, 94550, 198, 55999, 19361, 30926, 105904, 16144, 89046, 117139, 71289, 102208, 81742, 14558, 16144, 103130, 15017, 245, 127749, 16144, 114140, 117824, 61689, 9174, 91, 605, 25, 410, 198, 91, 29220, 102803, 39880, 52414, 111363, 48154, 89046, 117139, 198, 18655, 103234, 9458, 125152, 58322, 5486, 53229, 83932, 46456, 110698, 112197, 124730, 104309, 103826, 104680, 26854, 71289, 31431, 108167, 115991, 33541, 9174, 91, 605, 25, 966, 198, 91, 40265, 117073, 117876, 198, 6109, 116229, 16144, 106391, 13153, 81742, 16144, 111800, 118219, 5486, 91875, 19967, 111800, 110322, 5486, 53229, 83932, 16144, 64531, 22649, 104309, 5486, 103826, 104680, 26854, 117876, 115991, 33541, 9174, 91, 717, 25, 410, 198, 91, 11881, 120, 102456, 198, 60358, 47884, 107898, 46034, 119400, 26854, 115320, 102456, 72516, 29295, 43240, 47884, 5486, 42016, 23538, 71289, 61826, 101477, 102, 19732, 93488, 78459, 102677, 115789, 21105, 108, 21105, 108, 9174, 91, 1032, 25, 410, 198, 91, 39850, 64178, 116696, 48552, 5486, 29220, 102803, 39880, 52414, 111363, 48154, 89046, 117139, 198, 91, 1032, 25, 966, 198, 91, 117876, 88356, 87447, 198, 35424, 112772, 113801, 106307, 50834, 5486, 19967, 101275, 30512, 103130, 62004, 100481, 50834, 33541, 1811, 29220, 102803, 39880, 52414, 16144, 110229, 102416, 17885, 118, 30297, 115789, 57903, 33541, 9174, 91, 1114, 25, 410, 198, 91, 114140, 19967, 101275, 198, 40265, 9080, 16325, 16144, 19967, 101275, 16556, 113487, 76622, 118487, 33121, 119703, 32149, 114140, 78434, 9174, 91, 972, 25, 410, 198, 91, 56906, 61337, 128001, 128000, 567, 83639, 60358, 16144, 108156, 95001, 127268, 16144, 91875, 50834, 30512, 104770, 25287, 33208, 198, 127284, 115274, 101911, 107809, 72661, 1049, 9080, 127284, 115274, 101911, 15682, 43240, 119064, 126330, 46729, 29295, 20251, 44971, 102860, 16144, 19361, 126120, 34171, 30512, 114140, 54926, 64467, 105888, 103306, 103926, 11883, 54926, 19361, 13372, 26854, 64467, 105888, 38641, 1811, 102616, 16144, 108156, 29430, 127268, 30512, 13177, 102321, 112603, 66383, 13177, 1049, 9080, 127284, 115274, 101911, 66383, 16144, 82912, 116690, 16556, 125261, 39926, 64121, 17129, 109954, 1811, 102321, 112603, 104971, 1049, 9080, 10110, 78659, 65459, 102321, 112603, 104023, 1049, 9080, 10110, 16325, 65459, 102321, 112603, 83354, 1049, 9080, 10110, 65917, 7705, 38641, 1811, 127268, 121507, 71289, 122225, 104309, 15682, 107188, 31431, 21555, 96, 37689, 9554, 101983, 103836, 28542, 5486, 48154, 37729, 28425, 99, 72315, 1811, 126738, 111134, 52591, 15682, 717, 9953, 17, 9080, 103296, 5486, 100783, 239, 101911, 15682, 103188, 86436, 1049, 9080, 56965, 16144, 111575, 112603, 5486, 109657, 101911, 15682, 32335, 51385, 112603, 38641, 9174, 78659, 118953, 107610, 29295, 104873, 64531, 103792, 113385, 15682, 90962, 101198, 110305, 16073, 107118, 43568, 116690, 16556, 5486, 102159, 103283, 31634, 63212, 119775, 91774, 58942, 33541, 1811, 116137, 29504, 127359, 44971, 38248, 115, 39880, 32977, 51330, 118953, 107610, 1811, 110022, 100204, 38144, 39880, 125581, 120328, 29504, 29295, 127181, 112973, 66378, 17599, 112, 38641, 1811, 39880, 125581, 120328, 29504, 20230, 55999, 33035, 54926, 103283, 16144, 31634, 63212, 107407, 104865, 110241, 33121, 107515, 9174, 16325, 118953, 107610, 15682, 1049, 9080, 101911, 29295, 37689, 109375, 110731, 118953, 107610, 38641, 1811, 37656, 104611, 75267, 102083, 100472, 110229, 123253, 32149, 1811, 104987, 103181, 102669, 30512, 103721, 108, 31431, 108285, 102639, 100934, 29504, 71289, 127268, 29295, 81742, 48915, 127181, 112973, 37271, 16144, 102616, 16144, 108156, 29430, 117903, 38641, 1811, 25197, 104603, 112997, 5486, 90962, 125913, 32131, 104612, 5486, 42634, 114741, 104309, 29295, 40265, 38144, 15682, 109709, 33541, 9174, 65917, 118953, 107610, 32977, 104873, 64531, 16325, 119627, 5486, 102159, 103283, 16144, 57326, 112718, 31634, 63212, 16556, 119870, 64121, 19732, 67645, 17129, 103836, 104466, 91774, 58942, 33541, 1811, 126507, 57933, 29220, 39276, 29295, 30832, 118013, 33541, 9174, 126330, 122225, 102052, 102159, 103283, 31634, 63212, 19732, 68759, 38248, 109, 67075, 16144, 55999, 33035, 31634, 63212, 16144, 41920, 59739, 109853, 66378, 23187, 19732, 107624, 95001, 29295, 109215, 38641, 1811, 90620, 66378, 23187, 32977, 107624, 95001, 32977, 36668, 114181, 29295, 17701, 76947, 114732, 105879, 36896, 114939, 107471, 26274, 255, 30813, 10646, 55031, 110074, 104028, 109335, 103082, 107515, 101832, 1811, 32307, 17792, 101682, 76622, 54926, 47260, 39850, 108304, 120770, 107118, 5486, 114939, 107471, 26274, 255, 30813, 30512, 58318, 58942, 101860, 20230, 108323, 50928, 109904, 104760, 105242, 29295, 77413, 87447, 108608, 17792, 26854, 105879, 109954, 9174, 567, 650, 5511, 16144, 91774, 24273, 9458, 33655, 16995, 24273, 198, 58426, 53, 5511, 15682, 37271, 111299, 89408, 25963, 18904, 30832, 117282, 966, 4, 55038, 102416, 17905, 123716, 15024, 5486, 53, 5511, 61826, 53953, 71493, 109229, 15682, 102717, 109416, 52591, 32131, 67075, 115717, 79721, 1811, 113385, 15682, 90962, 101198, 110305, 16073, 38641, 1811, 89408, 16144, 115274, 112603, 15682, 777, 13, 20, 4, 5486, 117032, 16144, 71493, 109229, 83799, 103397, 15682, 65917, 114948, 115442, 111331, 103846, 115515, 16144, 68759, 38248, 109, 67075, 15682, 126330, 46729, 29295, 107188, 31431, 56906, 119188, 121894, 38641, 1811, 71493, 109229, 83799, 103397, 29295, 65917, 114948, 17297, 29295, 31431, 111769, 103846, 108008, 30926, 107328, 102494, 65575, 77181, 124897, 9174, 567, 103891, 103087, 46729, 15682, 15120, 114050, 45923, 16073, 113801, 102494, 65575, 108176, 104865, 11571, 77693, 107173, 104970, 120544, 110783, 110095, 30512, 100783, 102, 109315, 104865, 95532, 108618, 104611, 106272, 53, 5511, 32977, 1049, 9080, 127284, 115274, 101911, 32977, 103899, 58942, 30512, 100927, 107290, 120700, 107515, 119520, 110284, 30046, 15682, 110577, 117083, 113314, 16144, 109161, 108321, 30512, 110577, 20230, 111887, 31431, 104526, 104127, 61689, 1811, 9080, 34208, 76947, 104369, 25827, 80172, 102639, 54926, 105755, 15682, 5486, 82973, 100818, 116, 16144, 101544, 30813, 102677, 121568, 126330, 46729, 16144, 112366, 16144, 104195, 64121, 30512, 21990, 32149, 39926, 108882, 64121, 115079, 56051, 24273, 29295, 50928, 105226, 20230, 91763, 58942, 33541, 1811, 128001, 128000, 101402, 107873, 101426, 102404, 101721, 16144, 106839, 17701, 30512, 115924, 103359, 19653, 124545, 113009, 198, 108936, 112535, 101402, 107873, 101426, 102404, 101721, 30512, 106839, 17701, 54926, 104983, 20230, 5486, 105994, 126027, 118006, 16556, 67645, 16144, 113314, 16144, 102944, 30512, 106839, 17701, 127564, 104712, 104865, 5486, 122225, 20230, 109440, 30297, 100909, 106046, 61689, 9174, 103350, 104983, 20230, 106839, 17701, 54926, 110018, 102052, 103826, 104680, 26854, 120098, 115991, 33541, 29295, 5486, 115274, 112535, 115364, 46729, 16144, 8107, 56965, 101721, 95221, 38129, 33857, 16144, 23, 111017, 55031, 24, 111017, 113314, 30512, 71493, 110590, 108608, 101200, 101983, 107462, 104533, 5486, 108038, 20230, 101402, 107873, 101426, 102404, 101721, 30512, 104356, 103306, 102395, 109431, 20230, 102404, 101721, 16144, 107743, 122393, 114475, 105784, 105908, 88367, 102083, 58942, 33541, 9174, 103350, 104983, 20230, 115274, 112535, 108936, 118006, 16144, 115274, 109904, 101721, 95221, 38129, 33857, 102677, 104468, 198, 9, 103664, 3443, 15, 55031, 2636, 15, 29700, 9, 103195, 102083, 61689, 9174, 58426, 103846, 5486, 102571, 102831, 120938, 20230, 102332, 22324, 39926, 33334, 47884, 109215, 107407, 101402, 107873, 101426, 80805, 124643, 103306, 84851, 103130, 110731, 112973, 104662, 17129, 76947, 50834, 33541, 9174, 107118, 16995, 58942, 5486, 103911, 70203, 123160, 72368, 40862, 32977, 57903, 33541, 105879, 5486, 115274, 112535, 108167, 122382, 125398, 102944, 103306, 5486, 18, 29700, 71289, 18, 13, 17, 29700, 104309, 5486, 115251, 17905, 17297, 54926, 115789, 43240, 117714, 38641, 9174, 107118, 16995, 58942, 108048, 72661, 114392, 118006, 32943, 113245, 101402, 107873, 101426, 102404, 101721, 103306, 5486, 114392, 46729, 82420, 30512, 103129, 105784, 122416, 32149, 5486, 104654, 28190, 113245, 80631, 107, 35330, 30512, 32977, 115079, 126172, 105908, 108608, 50834, 42891, 126929, 108176, 102083, 58942, 33541, 9174, 103350, 104983, 20230, 103826, 104680, 26854, 104662, 62004, 46034, 107809, 72661, 101721, 95221, 33420, 106382, 33857, 19732, 102404, 101721, 33857, 16144, 116690, 34171, 113468, 5486, 106839, 17701, 54926, 109215, 34171, 16144, 126574, 80805, 124643, 102677, 102944, 15682, 48706, 127145, 9174, 53900, 5486, 102741, 108994, 113390, 102750, 114615, 72238, 103234, 104309, 113468, 32977, 108901, 26854, 100472, 102404, 101721, 33857, 104856, 76947, 50834, 33541, 105879, 5486, 112371, 104328, 114140, 39926, 33334, 47884, 105908, 27384, 102769, 38641, 9174, 125261, 9554, 102404, 101721, 33857, 16144, 126574, 80805, 124643, 30512, 108882, 110993, 112535, 106839, 17701, 56051, 16995, 105879, 30591, 104984, 5486, 112371, 104328, 124773, 123437, 67075, 16144, 198, 125261, 116229, 30512, 76706, 11883, 39926, 64121, 30369, 105908, 27384, 102769, 38641, 9174, 103350, 104983, 20230, 114140, 54926, 110018, 102052, 5486, 72238, 103234, 123160, 121432, 29295, 114392, 114140, 108608, 116229, 30512, 76706, 11883, 54926, 118733, 5486, 102404, 101721, 33857, 29295, 43240, 47884, 5486, 102404, 101721, 80805, 124643, 29295, 103167, 121374, 16556, 106839, 17701, 108608, 102944, 30512, 108882, 110993, 112535, 121507, 54926, 105908, 27384, 102769, 26854, 120098, 38641, 9174, 58426, 103846, 5486, 108608, 48249, 31431, 102404, 101721, 57207, 119263, 44971, 38248, 115, 78205, 16073, 30512, 114225, 117158, 17663, 105908, 108608, 116229, 30512, 108882, 110993, 112535, 76706, 11883, 103801, 109954, 9174, 103350, 104983, 20230, 67645, 16144, 113314, 8107, 56965, 16556, 102404, 101721, 54926, 104865, 30512, 113954, 39926, 33334, 47884, 109335, 5486, 105184, 103350, 20230, 105994, 105459, 16556, 102395, 109431, 20230, 103188, 48154, 17663, 105908, 108608, 50834, 42891, 126929, 121711, 33541, 9174, 22023, 117943, 34171, 16144, 126574, 114435, 16144, 102404, 101721, 80805, 124643, 15682, 109242, 9039, 57903, 33541, 105879, 5486, 105994, 126027, 104654, 117501, 20230, 32335, 109431, 26854, 102944, 30512, 102647, 104369, 103846, 102052, 5486, 30926, 112772, 91774, 108882, 123731, 104309, 30512, 76706, 11883, 54926, 115789, 108882, 110993, 112535, 111800, 118219, 39926, 33334, 47884, 100909, 127105, 5486, 32335, 103424, 16144, 113702, 30512, 32977, 127567, 17663, 113009, 109215, 26854, 100909, 38641, 1811, 128001, 128000, 103350, 15682, 52030, 106528, 104599, 102677, 117876, 15682, 19732, 111243, 27384, 104721, 38641, 9174, 17701, 94923, 56051, 105908, 100604, 19732, 78183, 124403, 119150, 105879, 5486, 102677, 123017, 112418, 116907, 5486, 59739, 16995, 118899, 16144, 25197, 104603, 112997, 113245, 17701, 94923, 5486, 80805, 84477, 118567, 29295, 52030, 106528, 104599, 103195, 100909, 55031, 118899, 101200, 71289, 47884, 95221, 47000, 102334, 102083, 100472, 110229, 38641, 9174, 85701, 103296, 109156, 94923, 30512, 18, 18904, 102433, 16556, 106613, 111186, 56051, 100909, 5486, 16, 18904, 30512, 25197, 104603, 112997, 16556, 106613, 111186, 56051, 100909, 55031, 112391, 30369, 52030, 106528, 104599, 16144, 117876, 109853, 112160, 89753, 16144, 52030, 106528, 104599, 107118, 104405, 95604, 102944, 32149, 30512, 121648, 30832, 101911, 16556, 33334, 87177, 15024, 109768, 118145, 106046, 61689, 9174, 17701, 94923, 123410, 110018, 20230, 16, 87217, 33334, 101083, 87177, 108176, 112973, 52030, 106528, 104599, 38641, 1811, 104473, 107654, 111800, 112984, 126198, 31431, 104473, 121819, 30512, 111629, 100472, 31431, 5486, 112418, 127303, 104984, 118322, 71005, 109519, 111848, 17701, 94923, 29295, 43240, 102518, 105879, 5486, 16, 87217, 104328, 67645, 16995, 110018, 102052, 16, 82973, 48154, 19732, 20230, 28542, 102701, 30512, 21105, 103, 118145, 16995, 76622, 105823, 104127, 56051, 9174, 16, 82973, 48154, 19732, 20230, 52030, 106528, 104599, 19732, 115499, 40862, 78183, 17663, 16144, 119627, 5486, 17701, 94923, 103792, 17792, 16556, 33014, 15682, 24186, 95221, 72661, 39850, 114483, 33710, 112535, 120175, 104526, 126559, 17792 ]
[ 32977, 16325, 102052, 61689, 9174, 121648, 15682, 43568, 103926, 101067, 26854, 107328, 27479, 30512, 18655, 110104, 104466, 5486, 24186, 95221, 16556, 103470, 111243, 24186, 95221, 102131, 117657, 115789, 127181, 116233, 101832, 1811, 102131, 16995, 100472, 126101, 52030, 106528, 104599, 29295, 16, 82973, 121410, 19732, 118430, 118095, 20230, 115499, 40862, 78183, 17663, 110115, 121410, 18904, 49838, 105791, 16556, 28542, 102701, 30512, 39926, 122396, 31431, 5486, 104873, 124863, 104405, 11571, 19732, 117355, 47884, 104655, 102532, 124089, 103378, 72661, 114318, 111243, 24186, 95221, 115717, 33541, 9174, 121648, 117940, 77693, 30512, 99750, 118835, 16144, 112690, 103306, 15682, 117952, 100604, 119627, 116898, 85791, 16995, 85791, 26854, 52030, 106528, 104599, 19732, 30177, 54926, 16325, 16556, 5486, 52030, 106528, 104599, 113468, 37087, 61994, 117271, 29295, 108010, 30297, 105879, 106116, 121953, 102677, 112973, 114225, 20230, 78183, 117295, 116233, 101832, 9174, 112418, 29295, 91763, 30297, 15120, 89753, 16144, 52030, 106528, 104599, 15682, 5486, 43568, 103926, 101067, 26854, 107328, 27479, 16556, 42634, 103672, 67075, 119775, 90620, 19967, 101275, 54926, 103378, 102677, 126036, 5486, 47260, 101198, 78683, 102663, 38248, 115, 78205, 16073, 106556, 29295, 16, 87217, 109215, 19732, 110731, 117876, 38641, 9174, 45923, 29220, 102514, 29295, 33014, 16144, 60868, 121057, 118816, 112990, 5486, 52030, 106528, 104599, 15682, 39850, 114483, 33710, 60868, 121057, 115717, 33541, 1811, 71005, 17663, 110115, 33014, 19732, 64209, 16144, 110176, 24273, 16144, 102663, 39880, 29295, 109215, 38641, 9174, 66378, 20230, 111108, 102800, 103429, 95221, 16144, 126513, 108948, 103242, 30046, 98369, 32977, 112008, 102800, 16325, 16556, 126419, 20230, 71005, 109519, 24273, 13393, 251, 30512, 104662, 109013, 31431, 5486, 82973, 29295, 30591, 109709, 100604, 16325, 16556, 104662, 109315, 105879, 5486, 108446, 50928, 21105, 103, 16995, 115789, 16995, 126910, 32149, 101182, 106046, 61689, 1811, 91763, 100472, 71689, 20230, 87177, 72342, 100604, 115789, 121771, 98369, 57903, 33541, 9174, 102131, 16995, 100472, 126101, 109215, 104856, 76947, 109749, 112973, 52030, 106528, 104599, 98369, 19732, 87177, 17663, 100909, 5486, 80539, 52030, 106528, 104599, 121944, 121648, 121944, 108895, 95604, 105104, 30297, 20230, 91763, 103836, 102677, 106592, 103242, 30046, 20230, 108044, 107290, 122396, 31431, 54926, 58426, 107145, 76622, 106554, 104856, 76947, 120700, 104984, 5486, 121648, 98369, 125030, 76947, 15682, 126920, 85777, 106956, 100909, 38641, 9174, 33334, 103242, 30046, 117940, 66378, 20230, 57326, 102803, 45923, 29295, 126574, 105879, 124563, 107188, 32149, 108044, 58942, 106956, 105908, 108044, 58942, 102204, 104435, 31431, 54926, 25132, 108, 116310, 95221, 115991, 33541, 9174, 118124, 24273, 103306, 32977, 52030, 106528, 104599, 117940, 60868, 121057, 39926, 120700, 33541, 29295, 112160, 89753, 16144, 52030, 106528, 104599, 20230, 32018, 62004, 110071, 109335, 121648, 115867, 112844, 106592, 17905, 46034, 47884, 104655, 47884, 48634, 107407, 17792, 36785, 106046, 16995, 79721, 9174, 103572, 38574, 55031, 49838, 105791, 16556, 17792, 20230, 123457, 58318, 107290, 124089, 105933, 116537, 52030, 106528, 104599, 125030, 111243, 70141, 102532, 104533, 91763, 61689, 1811, 99849, 126036, 109163, 16995, 87177, 30512, 120837, 108149, 109709, 125641, 60634, 17701, 15024, 120195, 100604, 115789, 52030, 106528, 104599, 102052, 109215, 38641, 9174, 125641, 60634, 17701, 15024, 120195, 104533, 109215, 71689, 20230, 127814, 106824, 114732, 105879, 5486, 112418, 118816, 52030, 106528, 104599, 108176, 104468, 19732, 111243, 111108, 102800, 26854, 106046, 16995, 79721, 9174, 108729, 9554, 102052, 31958, 30369, 16995, 87177, 5486, 102099, 120761, 64889, 103223, 64178, 16144, 71634, 44971, 94550, 22398, 104774, 76171, 126567, 16556, 112844, 19732, 5486, 18904, 109095, 125456, 16144, 68759, 25197, 96452, 22398, 55031, 108270, 42634, 117657, 106592, 53901, 112495, 114754, 70141, 119188, 16144, 119627, 5486, 112418, 15682, 108270, 42634, 55031, 57326, 112718, 20230, 109768, 47884, 24273, 29295, 53901, 112495, 105879, 52030, 106528, 104599, 102052, 70141, 102532, 100604, 26854, 102677, 100909, 38641, 9174, 53900, 52030, 106528, 104599, 16144, 117876, 15682, 102987, 16995, 116690, 126194, 5486, 112832, 20230, 72661, 52591, 32131, 67075, 20230, 114308, 40862, 30297, 105908, 32018, 62004, 110071, 105879, 5486, 34171, 35083, 103306, 102159, 103283, 33208, 114792, 103836, 116537, 26854, 107188, 32149, 115200, 16995, 38641, 9174, 43511, 105352, 17701, 94923, 109768, 104533, 50834, 15682, 5486, 47307, 90962, 33710, 29295, 109215, 103351, 31431, 5486, 103906, 116219, 29295, 109215, 103351, 111842, 99849, 123772, 33503, 108768, 33710, 57326, 29295, 109215, 26854, 39177, 29295, 9039, 43240, 47884, 57903, 33541, 9174, 77693, 30512, 15120, 105564, 61826, 98499, 64121, 39926, 5486, 41832, 107, 41832, 107, 29295, 109215, 103351, 31431, 54926, 11571, 102083, 100472, 71174, 115856, 76622, 30512, 39926, 124089, 19732, 121648, 9554, 102052, 19732, 111243, 115003, 231, 106624, 38144, 5486, 114387, 20230, 112008, 102800, 16144, 103732, 47884, 91774, 38144, 47884, 115032, 102189, 26854, 19732, 99750, 64209, 78434, 9174, 116900, 20230, 111006, 29295, 121854, 111101, 20230, 15024, 124592, 16995, 116749, 127303, 104984, 5486, 121648, 15682, 108729, 112535, 88399, 229, 26854, 105879, 5486, 52030, 106528, 104599, 113468, 104405, 95604, 30177, 15024, 24273, 30512, 127662, 104865, 102677, 16144, 30512, 5486, 52030, 106528, 104599, 15682, 30591, 109709, 37689, 109375, 39926, 100604, 32149, 32977, 53283, 33121, 107515, 29295, 5486, 114652, 91774, 127280, 9174, 121648, 103306, 32977, 5486, 107943, 27384, 104721, 26854, 52030, 106528, 104599, 113115, 39926, 5486, 120208, 114652, 30775, 101, 26955, 114, 104309, 30512, 39926, 5486, 114715, 72661, 51330, 107707, 52030, 106528, 16556, 103424, 102518, 106046, 114598, 33503, 105262, 105933, 121648, 115717, 106956, 102944, 38641, 9174, 15120, 89753, 16144, 52030, 106528, 104599, 107118, 26854, 112649, 198, 122582, 198, 121648, 20230, 80805, 124049, 30512, 58318, 107290, 124089, 5486, 23706, 240, 71289, 15024, 30512, 124089, 5486, 103242, 109519, 16144, 106592, 114652, 53283, 76947, 38144, 50021, 111813, 30512, 104655, 102532, 124089, 198, 108895, 16995, 100472, 110229, 36785, 119150, 16144, 38641, 1811, 128001, 128000, 14711, 106793, 236, 97518, 107792, 111571, 107118, 198, 14167, 236, 97518, 107792, 111571, 107118, 5486, 14167, 236, 30512, 106391, 13153, 103792, 97518, 107792, 35757, 88631, 16144, 78525, 44971, 71289, 100389, 222, 115833, 120, 119049, 123160, 119049, 107079, 16144, 126238, 105714, 104309, 29295, 113385, 121711, 5486, 14167, 236, 16144, 97518, 107792, 71289, 58426, 41642, 115195, 105494, 20230, 108631, 64121, 125334, 115926, 91875, 123772, 20230, 47884, 115737, 100472, 31431, 54926, 30926, 30512, 13177, 14167, 236, 97518, 107792, 111571, 66383, 105324, 102802, 33541, 9174, 36668, 26854, 111571, 103397, 103306, 5486, 40526, 16144, 87447, 76622, 101860, 33503, 30813, 71289, 14167, 236, 97518, 107792, 71289, 100389, 222, 115833, 120, 119049, 20230, 108631, 64121, 30512, 112391, 115926, 5486, 91875, 32149, 56051, 104983, 20230, 79785, 29295, 122173, 30369, 102083, 100472, 111571, 103397, 29295, 16556, 33541, 9174, 127032, 55031, 119436, 103296, 111044, 108285, 47884, 102404, 21990, 54926, 102944, 119627, 5486, 66378, 20230, 81191, 31640, 55031, 34617, 27113, 31640, 16144, 111482, 20230, 43240, 47884, 64121, 110071, 101427, 122, 70141, 115991, 33541, 9174, 14711, 106793, 236, 97518, 107792, 111571, 16144, 113385, 198, 102404, 111571, 54926, 39850, 71493, 78683, 78525, 91062, 15682, 16937, 31958, 26854, 30926, 29295, 43240, 47884, 5486, 113385, 105352, 121568, 104364, 115991, 33541, 9174, 101042, 249, 64121, 114146, 16144, 16937, 103424, 16144, 102717, 32149, 5486, 32977, 107173, 19732, 14167, 236, 97518, 107792, 16144, 112294, 30813, 5486, 71634, 108744, 71289, 127408, 104309, 55031, 109749, 119049, 107079, 16144, 103188, 126238, 105714, 5486, 48915, 114218, 111848, 74482, 115514, 111571, 5486, 106391, 67178, 17905, 16144, 109606, 104309, 32977, 113727, 102204, 33541, 9174, 53900, 5486, 9080, 40053, 104654, 16144, 23706, 244, 71289, 108710, 101557, 96, 104309, 16556, 114652, 80988, 105, 14276, 244, 123410, 5486, 35818, 110366, 16556, 125764, 53953, 30512, 101042, 249, 104004, 23706, 244, 107407, 5486, 102456, 16995, 21105, 108, 31431, 71289, 127480, 105557, 15024, 31431, 5486, 119865, 30512, 101042, 249, 104004, 23706, 244, 5486, 108429, 105068, 123160, 110783, 110095, 16937, 103424, 32977, 113385, 112028, 59739, 104856, 103836, 105908, 57903, 33541, 9174, 14711, 106793, 236, 97518, 107792, 111571, 16144, 111571, 103397, 198, 14167, 236, 97518, 107792, 16144, 108631, 64121, 5486, 40526, 29295, 87447, 76622, 109669, 110706, 5486, 40526, 125523, 47884, 104983, 20230, 13177, 71493, 29220, 26269, 59712, 115054, 26269, 66383, 95604, 57980, 26854, 79785, 29295, 104655, 22957, 105262, 9174, 51330, 105933, 111571, 103397, 112212, 110745, 112495, 102944, 29295, 125764, 110615, 5486, 110567, 16995, 53953, 29295, 101042, 249, 62004, 100604, 5486, 79785, 29295, 95221, 117084, 101851, 102, 78183, 106624, 112391, 30369, 104309, 102083, 100472, 101128, 102, 64121, 30512, 108623, 105262, 30926, 115717, 33541, 9174, 53900, 5486, 111571, 103397, 29295, 109161, 33208, 112990, 40526, 29295, 87447, 126660, 5486, 87447, 108895, 117408, 121142, 14167, 236, 97518, 107792, 71289, 22957, 62004, 32149, 64121, 5486, 61075, 16144, 119049, 107079, 104309, 14167, 236, 30512, 91875, 32149, 47884, 126101, 122502, 47884, 119049, 107079, 20230, 108631, 64121, 125334, 38144, 50834, 33541, 9174, 122270, 5486, 119049, 107079, 16144, 126238, 105714, 55031, 117395, 71289, 124475, 101576, 118, 33121, 125334, 115926, 5486, 103892, 108631, 5486, 62004, 17129, 16995, 5486, 114948, 22957, 31431, 123160, 111571, 103397, 125334, 38144, 109749, 115789, 57903, 33541, 9174, 14711, 106793, 236, 97518, 107792, 111571, 16144, 103429, 107328, 198, 14167, 236, 97518, 107792, 111571, 16144, 103429, 95221, 16144, 121894, 15682, 119448, 47884, 46702, 59739, 20230, 17620, 104770, 116216, 61689, 9174, 827, 220, 118075, 14167, 236, 97518, 107792, 108631, 108502, 104698, 198, 14167, 236, 97518, 107792, 16144, 41642, 116310, 16144, 108631, 64121, 29295, 36668, 111571, 103397, 117282, 121894, 38641, 9174, 827, 220, 119560, 14167, 236, 97518, 107792, 35757, 88631, 108502, 104698, 198, 14167, 236, 97518, 107792, 16144, 97518, 107792, 32943, 20230, 117401, 30512, 22398, 91062, 106240, 120650, 30297, 103846, 29220, 26269, 104272, 103306, 48706, 103792, 97518, 107792, 35757, 88631, 29295, 25580, 24273, 102416, 78525, 44971, 38144, 114732, 30926, 16556, 5486, 14167, 236, 30512, 91875, 32149, 17663, 19732, 13177, 71493, 29220, 16073, 71493, 29220, 16073, 66383, 79785, 125334, 30369, 121894, 38641, 9174, 53900, 97518, 107792, 35757, 88631, 16144, 25580, 24273, 111363, 78525, 44971, 29295, 119448, 115737, 104533, 5486, 40526, 125523, 108895, 103306, 32977, 5486, 87447, 76622, 50834, 110615, 102677, 121894, 115717, 33541, 1811, 32335, 32977, 127181, 117809, 38641, 9174, 827, 220, 126892, 100389, 222, 115833, 120, 119049, 108631, 108502, 104698, 198, 14167, 236, 30512, 91875, 32149, 17663, 124122, 119049, 107079, 29295, 17905, 46034, 47884, 122502, 32149, 123733, 31431, 5486, 40526, 125523, 108895, 19732, 112990, 5486, 22957, 62004, 32149, 64121, 71289, 80988, 105, 16144, 119049, 107079, 29295, 108631, 104004, 102677, 121894, 38641, 9174, 827, 220, 49412, 96, 104721, 83799, 34171, 14167, 236, 97518, 107792, 111571, 198, 30591, 109709, 5486, 43240, 47884, 15682, 124897, 29295, 5486, 101544, 8107, 14167, 236, 97518, 107792, 111571, 29295, 106307, 16995, 101732, 31431, 5486, 8107, 106036, 95, 16144, 126574, 24273, 20230, 64121, 102204, 5486, 14167, 236, 30512, 106391, 13153, 103792, 110135, 20230, 104721, 83799, 29295, 21990, 100204, 100934, 121894, 38641, 9174, 14711, 117917, 227, 94923, 71289, 107167, 122842, 113245, 113727, 24273, 198, 14167, 236, 97518, 107792, 111571, 16144, 108936, 109904, 41007, 103306, 15682, 36896, 68759, 115474, 70563, 61398, 10646, 115991, 33541, 9174, 68759, 115474, 70563, 61398, 30512, 103309, 56965, 113136, 120379, 126101, 38129, 54926, 30926, 16556, 5486, 103309, 56965, 16144, 43568, 37689, 109375, 126867, 22957, 62004, 32149, 64121, 16556, 21990, 100204, 30369, 14167, 236, 97518, 107792, 71289, 119049, 107079, 16144, 109972, 106529, 30512, 117355, 114485, 107726, 33541, 118855, 5486, 108631, 104004, 34048, 25129, 20230, 60358, 109657, 48915, 101911, 44971, 38248, 114, 11972, 102867, 105644, 71289, 101721, 95221, 110456, 106266, 123410, 30926, 16556, 5486, 119049, 107079, 16144, 104473, 89753, 30512, 23226, 106594, 54926, 107803, 32977, 57903, 33541, 9174, 14711, 106793, 236, 97518, 107792, 111571, 16144, 165, 104247, 66285, 116, 198, 165, 104247, 66285, 116, 77181, 5486, 165, 104247, 71289, 66285, 116, 124905, 76947, 114754, 69978, 59739, 13177, 109683, 71005, 23706, 240, 48634, 118587, 112366, 48249, 20230, 113801, 20834, 109768, 50834, 33541, 9174, 91077, 32938, 109904, 102923, 103991, 77181, 5486, 14167, 236, 97518, 107792, 16144, 91875, 50834, 30512, 103424, 47884, 15024, 5486, 108631, 64121, 16144, 100783, 102, 34208, 5486, 14167, 236, 30512, 91875, 32149, 17663, 119049, 107079, 16144, 115289, 122279, 34171, 16144, 18904, 109095, 5486, 97518, 107792, 35757, 88631, 71289, 97518, 107792, 30512, 68379, 126559, 97518, 107792, 68379, 41642, 116310, 16144, 121606, 16144, 23226, 106594, 30512, 113173, 103306, 61689, 9174, 53900, 5486, 71634, 108744, 71289, 104654, 108710, 101557, 96, 16144, 108267, 33121, 55031, 125119, 30369, 14167, 236, 97518, 107792, 111571, 16144, 107803, 102052, 37026, 104063, 101365, 106613, 16144, 102923, 103991, 32977, 105360, 23039, 39926, 23039, 107462, 50834, 33541, 9174, 71634, 108744, 71289, 104654, 108710, 101557, 96, 20230, 37026, 104063, 101365, 106613, 15682, 19732, 111243, 117375, 84389, 126172, 47884, 5486, 66953, 119930, 29295, 103553, 102, 106824, 114732, 104473, 89753, 16144, 89753, 33121, 29295, 109161, 115737, 100472, 31431, 5486, 103892, 108631, 5486, 114948, 22957, 31431, 108948, 113351, 16144, 104873, 45829, 29295, 109161, 16995, 5486, 104309, 103826, 104680, 26854, 111571, 103397, 125334, 38144, 50834, 38144, 103801, 16995, 5486, 110020, 34171, 33208, 54926, 30926, 29295, 43240, 47884, 57903, 33541, 9174, 103856, 23538, 71005, 23706, 240, 16144, 103846, 105352, 5486, 121648, 103826, 29295, 32977, 59739, 109683, 71005, 23706, 240, 123457, 112366, 48249, 20230, 45736, 62004, 5486, 14167, 236, 16144, 41642, 31431, 121142, 103470, 5486, 111006, 37087, 33014, 16144, 102923, 103991, 117824, 107462, 47884, 109215, 115991, 33541, 9174, 14711, 85997, 94923, 16144, 104195, 64121 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 16325, 102052, 61689, 9174, 121648, 15682, 43568, 103926, 101067, 26854, 107328, 27479, 30512, 18655, 110104, 104466, 5486, 24186, 95221, 16556, 103470, 111243, 24186, 95221, 102131, 117657, 115789, 127181, 116233, 101832, 1811, 102131, 16995, 100472, 126101, 52030, 106528, 104599, 29295, 16, 82973, 121410, 19732, 118430, 118095, 20230, 115499, 40862, 78183, 17663, 110115, 121410, 18904, 49838, 105791, 16556, 28542, 102701, 30512, 39926, 122396, 31431, 5486, 104873, 124863, 104405, 11571, 19732, 117355, 47884, 104655, 102532, 124089, 103378, 72661, 114318, 111243, 24186, 95221, 115717, 33541, 9174, 121648, 117940, 77693, 30512, 99750, 118835, 16144, 112690, 103306, 15682, 117952, 100604, 119627, 116898, 85791, 16995, 85791, 26854, 52030, 106528, 104599, 19732, 30177, 54926, 16325, 16556, 5486, 52030, 106528, 104599, 113468, 37087, 61994, 117271, 29295, 108010, 30297, 105879, 106116, 121953, 102677, 112973, 114225, 20230, 78183, 117295, 116233, 101832, 9174, 112418, 29295, 91763, 30297, 15120, 89753, 16144, 52030, 106528, 104599, 15682, 5486, 43568, 103926, 101067, 26854, 107328, 27479, 16556, 42634, 103672, 67075, 119775, 90620, 19967, 101275, 54926, 103378, 102677, 126036, 5486, 47260, 101198, 78683, 102663, 38248, 115, 78205, 16073, 106556, 29295, 16, 87217, 109215, 19732, 110731, 117876, 38641, 9174, 45923, 29220, 102514, 29295, 33014, 16144, 60868, 121057, 118816, 112990, 5486, 52030, 106528, 104599, 15682, 39850, 114483, 33710, 60868, 121057, 115717, 33541, 1811, 71005, 17663, 110115, 33014, 19732, 64209, 16144, 110176, 24273, 16144, 102663, 39880, 29295, 109215, 38641, 9174, 66378, 20230, 111108, 102800, 103429, 95221, 16144, 126513, 108948, 103242, 30046, 98369, 32977, 112008, 102800, 16325, 16556, 126419, 20230, 71005, 109519, 24273, 13393, 251, 30512, 104662, 109013, 31431, 5486, 82973, 29295, 30591, 109709, 100604, 16325, 16556, 104662, 109315, 105879, 5486, 108446, 50928, 21105, 103, 16995, 115789, 16995, 126910, 32149, 101182, 106046, 61689, 1811, 91763, 100472, 71689, 20230, 87177, 72342, 100604, 115789, 121771, 98369, 57903, 33541, 9174, 102131, 16995, 100472, 126101, 109215, 104856, 76947, 109749, 112973, 52030, 106528, 104599, 98369, 19732, 87177, 17663, 100909, 5486, 80539, 52030, 106528, 104599, 121944, 121648, 121944, 108895, 95604, 105104, 30297, 20230, 91763, 103836, 102677, 106592, 103242, 30046, 20230, 108044, 107290, 122396, 31431, 54926, 58426, 107145, 76622, 106554, 104856, 76947, 120700, 104984, 5486, 121648, 98369, 125030, 76947, 15682, 126920, 85777, 106956, 100909, 38641, 9174, 33334, 103242, 30046, 117940, 66378, 20230, 57326, 102803, 45923, 29295, 126574, 105879, 124563, 107188, 32149, 108044, 58942, 106956, 105908, 108044, 58942, 102204, 104435, 31431, 54926, 25132, 108, 116310, 95221, 115991, 33541, 9174, 118124, 24273, 103306, 32977, 52030, 106528, 104599, 117940, 60868, 121057, 39926, 120700, 33541, 29295, 112160, 89753, 16144, 52030, 106528, 104599, 20230, 32018, 62004, 110071, 109335, 121648, 115867, 112844, 106592, 17905, 46034, 47884, 104655, 47884, 48634, 107407, 17792, 36785, 106046, 16995, 79721, 9174, 103572, 38574, 55031, 49838, 105791, 16556, 17792, 20230, 123457, 58318, 107290, 124089, 105933, 116537, 52030, 106528, 104599, 125030, 111243, 70141, 102532, 104533, 91763, 61689, 1811, 99849, 126036, 109163, 16995, 87177, 30512, 120837, 108149, 109709, 125641, 60634, 17701, 15024, 120195, 100604, 115789, 52030, 106528, 104599, 102052, 109215, 38641, 9174, 125641, 60634, 17701, 15024, 120195, 104533, 109215, 71689, 20230, 127814, 106824, 114732, 105879, 5486, 112418, 118816, 52030, 106528, 104599, 108176, 104468, 19732, 111243, 111108, 102800, 26854, 106046, 16995, 79721, 9174, 108729, 9554, 102052, 31958, 30369, 16995, 87177, 5486, 102099, 120761, 64889, 103223, 64178, 16144, 71634, 44971, 94550, 22398, 104774, 76171, 126567, 16556, 112844, 19732, 5486, 18904, 109095, 125456, 16144, 68759, 25197, 96452, 22398, 55031, 108270, 42634, 117657, 106592, 53901, 112495, 114754, 70141, 119188, 16144, 119627, 5486, 112418, 15682, 108270, 42634, 55031, 57326, 112718, 20230, 109768, 47884, 24273, 29295, 53901, 112495, 105879, 52030, 106528, 104599, 102052, 70141, 102532, 100604, 26854, 102677, 100909, 38641, 9174, 53900, 52030, 106528, 104599, 16144, 117876, 15682, 102987, 16995, 116690, 126194, 5486, 112832, 20230, 72661, 52591, 32131, 67075, 20230, 114308, 40862, 30297, 105908, 32018, 62004, 110071, 105879, 5486, 34171, 35083, 103306, 102159, 103283, 33208, 114792, 103836, 116537, 26854, 107188, 32149, 115200, 16995, 38641, 9174, 43511, 105352, 17701, 94923, 109768, 104533, 50834, 15682, 5486, 47307, 90962, 33710, 29295, 109215, 103351, 31431, 5486, 103906, 116219, 29295, 109215, 103351, 111842, 99849, 123772, 33503, 108768, 33710, 57326, 29295, 109215, 26854, 39177, 29295, 9039, 43240, 47884, 57903, 33541, 9174, 77693, 30512, 15120, 105564, 61826, 98499, 64121, 39926, 5486, 41832, 107, 41832, 107, 29295, 109215, 103351, 31431, 54926, 11571, 102083, 100472, 71174, 115856, 76622, 30512, 39926, 124089, 19732, 121648, 9554, 102052, 19732, 111243, 115003, 231, 106624, 38144, 5486, 114387, 20230, 112008, 102800, 16144, 103732, 47884, 91774, 38144, 47884, 115032, 102189, 26854, 19732, 99750, 64209, 78434, 9174, 116900, 20230, 111006, 29295, 121854, 111101, 20230, 15024, 124592, 16995, 116749, 127303, 104984, 5486, 121648, 15682, 108729, 112535, 88399, 229, 26854, 105879, 5486, 52030, 106528, 104599, 113468, 104405, 95604, 30177, 15024, 24273, 30512, 127662, 104865, 102677, 16144, 30512, 5486, 52030, 106528, 104599, 15682, 30591, 109709, 37689, 109375, 39926, 100604, 32149, 32977, 53283, 33121, 107515, 29295, 5486, 114652, 91774, 127280, 9174, 121648, 103306, 32977, 5486, 107943, 27384, 104721, 26854, 52030, 106528, 104599, 113115, 39926, 5486, 120208, 114652, 30775, 101, 26955, 114, 104309, 30512, 39926, 5486, 114715, 72661, 51330, 107707, 52030, 106528, 16556, 103424, 102518, 106046, 114598, 33503, 105262, 105933, 121648, 115717, 106956, 102944, 38641, 9174, 15120, 89753, 16144, 52030, 106528, 104599, 107118, 26854, 112649, 198, 122582, 198, 121648, 20230, 80805, 124049, 30512, 58318, 107290, 124089, 5486, 23706, 240, 71289, 15024, 30512, 124089, 5486, 103242, 109519, 16144, 106592, 114652, 53283, 76947, 38144, 50021, 111813, 30512, 104655, 102532, 124089, 198, 108895, 16995, 100472, 110229, 36785, 119150, 16144, 38641, 1811, 128001, 128000, 14711, 106793, 236, 97518, 107792, 111571, 107118, 198, 14167, 236, 97518, 107792, 111571, 107118, 5486, 14167, 236, 30512, 106391, 13153, 103792, 97518, 107792, 35757, 88631, 16144, 78525, 44971, 71289, 100389, 222, 115833, 120, 119049, 123160, 119049, 107079, 16144, 126238, 105714, 104309, 29295, 113385, 121711, 5486, 14167, 236, 16144, 97518, 107792, 71289, 58426, 41642, 115195, 105494, 20230, 108631, 64121, 125334, 115926, 91875, 123772, 20230, 47884, 115737, 100472, 31431, 54926, 30926, 30512, 13177, 14167, 236, 97518, 107792, 111571, 66383, 105324, 102802, 33541, 9174, 36668, 26854, 111571, 103397, 103306, 5486, 40526, 16144, 87447, 76622, 101860, 33503, 30813, 71289, 14167, 236, 97518, 107792, 71289, 100389, 222, 115833, 120, 119049, 20230, 108631, 64121, 30512, 112391, 115926, 5486, 91875, 32149, 56051, 104983, 20230, 79785, 29295, 122173, 30369, 102083, 100472, 111571, 103397, 29295, 16556, 33541, 9174, 127032, 55031, 119436, 103296, 111044, 108285, 47884, 102404, 21990, 54926, 102944, 119627, 5486, 66378, 20230, 81191, 31640, 55031, 34617, 27113, 31640, 16144, 111482, 20230, 43240, 47884, 64121, 110071, 101427, 122, 70141, 115991, 33541, 9174, 14711, 106793, 236, 97518, 107792, 111571, 16144, 113385, 198, 102404, 111571, 54926, 39850, 71493, 78683, 78525, 91062, 15682, 16937, 31958, 26854, 30926, 29295, 43240, 47884, 5486, 113385, 105352, 121568, 104364, 115991, 33541, 9174, 101042, 249, 64121, 114146, 16144, 16937, 103424, 16144, 102717, 32149, 5486, 32977, 107173, 19732, 14167, 236, 97518, 107792, 16144, 112294, 30813, 5486, 71634, 108744, 71289, 127408, 104309, 55031, 109749, 119049, 107079, 16144, 103188, 126238, 105714, 5486, 48915, 114218, 111848, 74482, 115514, 111571, 5486, 106391, 67178, 17905, 16144, 109606, 104309, 32977, 113727, 102204, 33541, 9174, 53900, 5486, 9080, 40053, 104654, 16144, 23706, 244, 71289, 108710, 101557, 96, 104309, 16556, 114652, 80988, 105, 14276, 244, 123410, 5486, 35818, 110366, 16556, 125764, 53953, 30512, 101042, 249, 104004, 23706, 244, 107407, 5486, 102456, 16995, 21105, 108, 31431, 71289, 127480, 105557, 15024, 31431, 5486, 119865, 30512, 101042, 249, 104004, 23706, 244, 5486, 108429, 105068, 123160, 110783, 110095, 16937, 103424, 32977, 113385, 112028, 59739, 104856, 103836, 105908, 57903, 33541, 9174, 14711, 106793, 236, 97518, 107792, 111571, 16144, 111571, 103397, 198, 14167, 236, 97518, 107792, 16144, 108631, 64121, 5486, 40526, 29295, 87447, 76622, 109669, 110706, 5486, 40526, 125523, 47884, 104983, 20230, 13177, 71493, 29220, 26269, 59712, 115054, 26269, 66383, 95604, 57980, 26854, 79785, 29295, 104655, 22957, 105262, 9174, 51330, 105933, 111571, 103397, 112212, 110745, 112495, 102944, 29295, 125764, 110615, 5486, 110567, 16995, 53953, 29295, 101042, 249, 62004, 100604, 5486, 79785, 29295, 95221, 117084, 101851, 102, 78183, 106624, 112391, 30369, 104309, 102083, 100472, 101128, 102, 64121, 30512, 108623, 105262, 30926, 115717, 33541, 9174, 53900, 5486, 111571, 103397, 29295, 109161, 33208, 112990, 40526, 29295, 87447, 126660, 5486, 87447, 108895, 117408, 121142, 14167, 236, 97518, 107792, 71289, 22957, 62004, 32149, 64121, 5486, 61075, 16144, 119049, 107079, 104309, 14167, 236, 30512, 91875, 32149, 47884, 126101, 122502, 47884, 119049, 107079, 20230, 108631, 64121, 125334, 38144, 50834, 33541, 9174, 122270, 5486, 119049, 107079, 16144, 126238, 105714, 55031, 117395, 71289, 124475, 101576, 118, 33121, 125334, 115926, 5486, 103892, 108631, 5486, 62004, 17129, 16995, 5486, 114948, 22957, 31431, 123160, 111571, 103397, 125334, 38144, 109749, 115789, 57903, 33541, 9174, 14711, 106793, 236, 97518, 107792, 111571, 16144, 103429, 107328, 198, 14167, 236, 97518, 107792, 111571, 16144, 103429, 95221, 16144, 121894, 15682, 119448, 47884, 46702, 59739, 20230, 17620, 104770, 116216, 61689, 9174, 827, 220, 118075, 14167, 236, 97518, 107792, 108631, 108502, 104698, 198, 14167, 236, 97518, 107792, 16144, 41642, 116310, 16144, 108631, 64121, 29295, 36668, 111571, 103397, 117282, 121894, 38641, 9174, 827, 220, 119560, 14167, 236, 97518, 107792, 35757, 88631, 108502, 104698, 198, 14167, 236, 97518, 107792, 16144, 97518, 107792, 32943, 20230, 117401, 30512, 22398, 91062, 106240, 120650, 30297, 103846, 29220, 26269, 104272, 103306, 48706, 103792, 97518, 107792, 35757, 88631, 29295, 25580, 24273, 102416, 78525, 44971, 38144, 114732, 30926, 16556, 5486, 14167, 236, 30512, 91875, 32149, 17663, 19732, 13177, 71493, 29220, 16073, 71493, 29220, 16073, 66383, 79785, 125334, 30369, 121894, 38641, 9174, 53900, 97518, 107792, 35757, 88631, 16144, 25580, 24273, 111363, 78525, 44971, 29295, 119448, 115737, 104533, 5486, 40526, 125523, 108895, 103306, 32977, 5486, 87447, 76622, 50834, 110615, 102677, 121894, 115717, 33541, 1811, 32335, 32977, 127181, 117809, 38641, 9174, 827, 220, 126892, 100389, 222, 115833, 120, 119049, 108631, 108502, 104698, 198, 14167, 236, 30512, 91875, 32149, 17663, 124122, 119049, 107079, 29295, 17905, 46034, 47884, 122502, 32149, 123733, 31431, 5486, 40526, 125523, 108895, 19732, 112990, 5486, 22957, 62004, 32149, 64121, 71289, 80988, 105, 16144, 119049, 107079, 29295, 108631, 104004, 102677, 121894, 38641, 9174, 827, 220, 49412, 96, 104721, 83799, 34171, 14167, 236, 97518, 107792, 111571, 198, 30591, 109709, 5486, 43240, 47884, 15682, 124897, 29295, 5486, 101544, 8107, 14167, 236, 97518, 107792, 111571, 29295, 106307, 16995, 101732, 31431, 5486, 8107, 106036, 95, 16144, 126574, 24273, 20230, 64121, 102204, 5486, 14167, 236, 30512, 106391, 13153, 103792, 110135, 20230, 104721, 83799, 29295, 21990, 100204, 100934, 121894, 38641, 9174, 14711, 117917, 227, 94923, 71289, 107167, 122842, 113245, 113727, 24273, 198, 14167, 236, 97518, 107792, 111571, 16144, 108936, 109904, 41007, 103306, 15682, 36896, 68759, 115474, 70563, 61398, 10646, 115991, 33541, 9174, 68759, 115474, 70563, 61398, 30512, 103309, 56965, 113136, 120379, 126101, 38129, 54926, 30926, 16556, 5486, 103309, 56965, 16144, 43568, 37689, 109375, 126867, 22957, 62004, 32149, 64121, 16556, 21990, 100204, 30369, 14167, 236, 97518, 107792, 71289, 119049, 107079, 16144, 109972, 106529, 30512, 117355, 114485, 107726, 33541, 118855, 5486, 108631, 104004, 34048, 25129, 20230, 60358, 109657, 48915, 101911, 44971, 38248, 114, 11972, 102867, 105644, 71289, 101721, 95221, 110456, 106266, 123410, 30926, 16556, 5486, 119049, 107079, 16144, 104473, 89753, 30512, 23226, 106594, 54926, 107803, 32977, 57903, 33541, 9174, 14711, 106793, 236, 97518, 107792, 111571, 16144, 165, 104247, 66285, 116, 198, 165, 104247, 66285, 116, 77181, 5486, 165, 104247, 71289, 66285, 116, 124905, 76947, 114754, 69978, 59739, 13177, 109683, 71005, 23706, 240, 48634, 118587, 112366, 48249, 20230, 113801, 20834, 109768, 50834, 33541, 9174, 91077, 32938, 109904, 102923, 103991, 77181, 5486, 14167, 236, 97518, 107792, 16144, 91875, 50834, 30512, 103424, 47884, 15024, 5486, 108631, 64121, 16144, 100783, 102, 34208, 5486, 14167, 236, 30512, 91875, 32149, 17663, 119049, 107079, 16144, 115289, 122279, 34171, 16144, 18904, 109095, 5486, 97518, 107792, 35757, 88631, 71289, 97518, 107792, 30512, 68379, 126559, 97518, 107792, 68379, 41642, 116310, 16144, 121606, 16144, 23226, 106594, 30512, 113173, 103306, 61689, 9174, 53900, 5486, 71634, 108744, 71289, 104654, 108710, 101557, 96, 16144, 108267, 33121, 55031, 125119, 30369, 14167, 236, 97518, 107792, 111571, 16144, 107803, 102052, 37026, 104063, 101365, 106613, 16144, 102923, 103991, 32977, 105360, 23039, 39926, 23039, 107462, 50834, 33541, 9174, 71634, 108744, 71289, 104654, 108710, 101557, 96, 20230, 37026, 104063, 101365, 106613, 15682, 19732, 111243, 117375, 84389, 126172, 47884, 5486, 66953, 119930, 29295, 103553, 102, 106824, 114732, 104473, 89753, 16144, 89753, 33121, 29295, 109161, 115737, 100472, 31431, 5486, 103892, 108631, 5486, 114948, 22957, 31431, 108948, 113351, 16144, 104873, 45829, 29295, 109161, 16995, 5486, 104309, 103826, 104680, 26854, 111571, 103397, 125334, 38144, 50834, 38144, 103801, 16995, 5486, 110020, 34171, 33208, 54926, 30926, 29295, 43240, 47884, 57903, 33541, 9174, 103856, 23538, 71005, 23706, 240, 16144, 103846, 105352, 5486, 121648, 103826, 29295, 32977, 59739, 109683, 71005, 23706, 240, 123457, 112366, 48249, 20230, 45736, 62004, 5486, 14167, 236, 16144, 41642, 31431, 121142, 103470, 5486, 111006, 37087, 33014, 16144, 102923, 103991, 117824, 107462, 47884, 109215, 115991, 33541, 9174, 14711, 85997, 94923, 16144, 104195, 64121 ]
[ 198, 40265, 94923, 102052, 5486, 37026, 104063, 101365, 106613, 16144, 66953, 119930, 30512, 65854, 114181, 112535, 114140, 108608, 13177, 37026, 104063, 101365, 106613, 108867, 23187, 32648, 10646, 29295, 123231, 9174, 37026, 104063, 101365, 106613, 107118, 5486, 32943, 26274, 241, 16144, 117401, 71289, 31640, 118835, 5486, 40474, 91875, 104309, 30512, 47260, 52414, 42634, 64178, 15024, 64531, 107290, 47884, 115032, 101365, 106613, 115717, 33541, 9174, 37026, 104063, 101365, 106613, 102052, 13177, 39209, 99750, 101365, 106613, 66383, 13177, 106966, 39209, 99750, 101365, 106613, 117503, 25963, 118821, 101365, 106613, 115991, 36896, 39209, 99750, 101365, 106613, 10646, 15682, 112415, 112535, 91875, 47884, 110018, 20230, 122502, 47884, 101365, 106613, 16556, 36896, 106966, 39209, 99750, 101365, 106613, 10646, 15682, 37823, 32131, 107840, 109768, 104533, 50834, 20230, 122502, 47884, 101365, 106613, 115717, 33541, 9174, 71634, 108744, 71289, 108267, 103468, 104654, 108710, 101557, 96, 113468, 13177, 37026, 104063, 101365, 106613, 117503, 66953, 119930, 15682, 103553, 102, 33121, 126172, 26854, 76947, 103801, 61689, 9174, 37026, 104063, 101365, 106613, 29295, 108267, 106824, 114732, 19732, 5486, 111006, 29295, 39880, 113155, 93488, 117718, 121894, 20230, 103801, 16995, 5486, 114948, 22957, 31431, 71289, 103892, 108631, 5486, 40474, 91875, 21388, 104873, 5486, 16937, 120379, 5486, 25197, 102803, 32131, 5486, 104309, 103826, 104680, 26854, 111571, 103397, 125334, 38144, 50834, 38144, 103801, 61689, 9174, 85701, 33503, 15682, 5486, 122412, 113245, 111800, 112984, 103378, 77181, 26854, 107188, 32149, 113385, 29295, 17620, 124403, 105908, 43240, 102334, 62004, 36896, 37026, 104063, 101365, 106613, 21388, 104873, 111571, 66383, 103429, 13372, 30512, 122382, 124195, 114732, 115789, 57903, 33541, 9174, 80673, 36896, 37026, 104063, 101365, 106613, 108867, 23187, 32648, 118587, 38129, 54926, 30926, 16556, 5486, 65854, 114181, 112535, 111006, 16144, 121894, 30512, 102178, 111665, 54926, 105908, 106084, 33541, 1811, 165, 104247, 66285, 116, 71005, 109519, 77181, 37026, 104063, 101365, 106613, 16144, 108267, 33121, 30512, 64531, 105262, 30926, 20230, 66378, 33208, 127145, 9174, 58426, 103846, 5486, 108867, 23187, 32648, 16556, 108867, 100472, 9039, 112603, 30512, 121846, 20230, 15024, 121648, 103826, 115303, 31431, 115303, 112586, 40862, 100472, 102832, 71634, 26854, 71005, 109519, 25333, 117824, 107462, 47884, 105908, 106084, 33541, 9174, 53900, 5486, 23187, 23538, 112535, 108867, 23187, 54926, 30926, 16556, 111006, 16144, 104721, 33208, 30512, 53283, 30369, 105908, 106084, 5486, 8239, 114503, 30512, 103350, 99750, 15024, 126172, 16995, 106046, 61689, 9174, 14711, 85997, 94923, 113245, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 103359, 105226, 198, 40265, 94923, 77181, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 103359, 105226, 30512, 17599, 117, 104792, 39926, 23039, 76947, 108086, 33541, 106609, 118075, 94923, 32943, 33420, 109177, 16144, 17599, 117, 104792, 198, 119560, 33655, 16995, 15017, 101, 38144, 57207, 109089, 16144, 38129, 5486, 102832, 105404, 71289, 20119, 243, 16144, 33420, 109177, 198, 126892, 121648, 103826, 9458, 102923, 103991, 112919, 46034, 64467, 33420, 109177, 198, 49412, 96, 20713, 82973, 20230, 20713, 18904, 16144, 109033, 95221, 198, 49412, 97, 105335, 26269, 52591, 16144, 33014, 104840, 116696, 48552, 198, 49412, 98, 105335, 26269, 52591, 16144, 68759, 115592, 100815, 11883, 198, 49412, 99, 29220, 44971, 102832, 107805, 10110, 116294, 33710, 22398, 1484, 13, 24, 113127, 21418, 86436, 120732, 102332, 22324, 198, 49412, 100, 102923, 103991, 30046, 19732, 122013, 16144, 33014, 104873, 40452, 19732, 120270, 198, 121648, 103826, 20230, 51385, 64209, 39926, 71005, 109519, 114475, 107441, 115962, 47884, 103846, 115847, 120577, 99750, 108208, 103359, 105226, 15682, 17599, 117, 104792, 39926, 23039, 76947, 108086, 33541, 105879, 5486, 51385, 64209, 39926, 48154, 37507, 94923, 72315, 105823, 9174, 77693, 72661, 5486, 47260, 42634, 96452, 103359, 105226, 20230, 48154, 127408, 26854, 28542, 71289, 5486, 165, 104247, 66285, 116, 71005, 109519, 16556, 48154, 16937, 31958, 26854, 28542, 50667, 77121, 16995, 79721, 33503, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 106609, 14711, 83639, 123090, 106609, 165, 104247, 66285, 116, 71005, 109519, 29295, 85707, 107436, 120332, 9458, 71289, 100472, 107493, 8239, 114503, 125334, 104435, 24273, 9458, 53900, 60358, 47884, 16556, 33035, 102334, 16995, 24273, 104309, 5486, 118969, 75694, 17129, 26854, 24273, 125001, 33503, 42891, 116826, 104533, 91763, 61689, 9174, 13177, 165, 104247, 66285, 116, 10646, 105352, 50021, 34171, 115991, 5486, 105408, 113468, 32977, 118969, 75694, 17129, 26854, 71005, 109519, 16144, 41007, 29295, 121771, 98369, 57903, 33541, 9174, 85707, 107436, 16556, 165, 104247, 29295, 119467, 16995, 112160, 27479, 101682, 107674, 107493, 8239, 114503, 29295, 43568, 102518, 24273, 72661, 21043, 66776, 127637, 198, 40265, 94923, 16556, 33334, 111006, 112197, 101128, 102, 64121, 126130, 104655, 32149, 72342, 72315, 9174, 121648, 103826, 115303, 31431, 115303, 112586, 114146, 28713, 102832, 71634, 26854, 41007, 16556, 71005, 109519, 117824, 107462, 50834, 33541, 106609, 33334, 117384, 16556, 48154, 50021, 111813, 103378, 72661, 27384, 121313, 38641, 9174, 126843, 15682, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 6447, 128001, 128000, 21909, 44689, 30512, 105644, 28713, 104473, 107654, 111800, 112984, 16144, 91774, 24273, 111942, 198, 2511, 104102, 236, 86436, 16144, 77219, 198, 567, 113170, 112568, 16144, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 15682, 95532, 35894, 113351, 125344, 104473, 117587, 112603, 104309, 15682, 105298, 120761, 104309, 72661, 114652, 108867, 23187, 54926, 106046, 61689, 29295, 111476, 46702, 27113, 97049, 30512, 104087, 107800, 24273, 5486, 101182, 16995, 15682, 105268, 47884, 111243, 117587, 126017, 103429, 46729, 39276, 120332, 15682, 111476, 112371, 104328, 198, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 127268, 36761, 30512, 108867, 23187, 39926, 64121, 30369, 106592, 33334, 53508, 100, 62004, 78434, 1811, 107301, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 107118, 88435, 121640, 5486, 76171, 22398, 107805, 16144, 126120, 50834, 20230, 47884, 30813, 16144, 118733, 5486, 76171, 22398, 107805, 116875, 108324, 34171, 29295, 126574, 108680, 5486, 76171, 22398, 107805, 29295, 126120, 126660, 113334, 38641, 55031, 5486, 104473, 117587, 112603, 29295, 45736, 115737, 31431, 5486, 117587, 126017, 103429, 115717, 126172, 115737, 104533, 115963, 20230, 5486, 117178, 112624, 122603, 104473, 121819, 5486, 91875, 101171, 230, 110567, 33208, 32977, 113096, 103130, 39926, 103801, 61689, 9174, 103350, 20230, 111476, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 29295, 45736, 118145, 126574, 108680, 110482, 100472, 100909, 126529, 38641, 1811, 107301, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 29295, 126574, 110674, 54322, 76947, 33334, 126145, 122603, 115737, 100472, 104473, 117587, 112603, 30512, 17297, 102639, 101200, 19732, 5486, 122270, 76171, 22398, 107805, 29295, 17620, 14888, 234, 84389, 31195, 111476, 29295, 25827, 30512, 113096, 103130, 56051, 31431, 5486, 92877, 33208, 30512, 103856, 109013, 111842, 31195, 5486, 16995, 85791, 16995, 85791, 19732, 71289, 42891, 121867, 26854, 100909, 115717, 5486, 113614, 117539, 51609, 30512, 123332, 109315, 100909, 115717, 33541, 9174, 107943, 198, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 119627, 5486, 104473, 107654, 111800, 112984, 111831, 16144, 20713, 59739, 107301, 76171, 22398, 107805, 116875, 108324, 34171, 127268, 10110, 39, 1937, 32, 90581, 49, 7705, 36761, 16556, 5486, 112825, 110904, 20230, 53283, 30369, 105908, 125545, 3490, 43514, 26854, 64121, 20230, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 30512, 103167, 47884, 54926, 10110, 23226, 106594, 54926, 7705, 41007, 15682, 111476, 75146, 107253, 112603, 10110, 120870, 112603, 119735, 198, 76171, 22398, 107805, 116875, 108324, 34171, 127268, 10110, 39, 1937, 32, 90581, 49, 7705, 104971, 20713, 59983, 60596, 198, 35894, 113351, 39177, 104473, 117587, 112603, 10110, 37, 7497, 7705, 104971, 78250, 27113, 12591, 96555, 15755, 226, 43, 198, 76171, 22398, 107805, 112603, 10110, 2871, 40, 7705, 115261, 25963, 21909, 78250, 44223, 52, 96555, 76, 43, 198, 101860, 81219, 31431, 31195, 117587, 105284, 44416, 48249, 102456, 10110, 102663, 20251, 16073, 102456, 7705, 38641, 9174, 17161, 113160, 5232, 109481, 94, 22656, 115189, 243, 198, 7511, 44620, 1569, 101, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 36761, 112603, 30512, 45736, 109315, 41007, 198, 39880, 38248, 104, 25197, 52884, 198, 47307, 115695, 29220, 105284, 15682, 102780, 31431, 38144, 33541, 32149, 11571, 128001, 128000, 118482, 44915, 109853, 112197, 99397, 16995, 114146, 71289, 108948, 117876, 16144, 48154, 103963, 117943, 106116, 43511, 13870, 232, 61337, 103927, 103202, 122481, 16556, 48154, 16937, 31958, 26854, 28542, 104309, 29295, 77121, 16995, 79721, 33503, 5486, 17297, 61304, 112197, 99397, 16995, 114146, 108526, 103202, 55031, 33334, 99397, 16995, 114146, 72315, 9174, 2, 102362, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 107118, 95532, 567, 102362, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 30512, 50338, 108323, 198, 17792, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 29295, 17620, 124403, 19732, 33334, 101128, 102, 64121, 77181, 124897, 32149, 1811, 103350, 15682, 5486, 102362, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 77181, 5486, 125175, 44915, 71289, 47260, 71634, 50667, 5486, 118969, 75694, 17129, 26854, 121953, 107407, 16144, 38641, 123601, 77219, 77181, 118752, 60868, 113649, 117718, 66378, 17599, 112, 71289, 50021, 108010, 28542, 5486, 110176, 112919, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 126362, 78434, 9174, 102832, 20251, 96452, 91062, 17792, 103234, 118935, 11883, 109853, 125821, 53283, 31431, 106956, 24273, 15682, 5486, 112371, 104328, 102832, 20251, 96452, 91062, 17792, 103234, 126362, 9458, 105647, 124955, 16144, 103927, 108506, 66953, 48552, 16144, 19360, 116229, 30512, 48154, 111182, 72315, 9174, 567, 102362, 103234, 105647, 124955, 107118, 198, 17792, 103234, 105647, 124955, 15682, 5486, 61337, 102351, 30512, 43511, 114435, 20230, 105647, 124955, 39926, 126362, 42506, 30512, 50928, 30369, 118733, 13153, 31431, 80195, 59739, 91482, 76428, 102750, 22398, 38641, 1811, 17792, 103234, 105647, 124955, 16144, 83799, 107328, 15682, 110745, 50834, 47884, 108936, 105647, 124955, 19732, 126362, 103911, 23187, 105647, 124955, 16144, 17, 59739, 20230, 17620, 32149, 33121, 33541, 1811, 108936, 105647, 124955, 15682, 120273, 103664, 117232, 29295, 112624, 35287, 101983, 104984, 5486, 105647, 124955, 120273, 103664, 32977, 105721, 35287, 54926, 122502, 50834, 24273, 38641, 1811, 120273, 103664, 117232, 112624, 35287, 74482, 32977, 5486, 113801, 106307, 50834, 112361, 8239, 112, 122502, 30046, 30512, 105647, 124955, 61337, 102351, 103306, 107740, 56051, 16995, 39177, 15682, 5486, 120273, 103664, 30512, 51107, 21105, 103, 47884, 38144, 15682, 26854, 31431, 107515, 1811, 103359, 39926, 126362, 103911, 23187, 105647, 124955, 15682, 5486, 105647, 124955, 61826, 114435, 16144, 37656, 61337, 102351, 16556, 122502, 47884, 106592, 25580, 29172, 114267, 125175, 38641, 1811, 32335, 101544, 16556, 21, 2845, 113, 9953, 56965, 5486, 105647, 124955, 61337, 102351, 103306, 122502, 102334, 74482, 5486, 8239, 112, 122502, 30046, 19732, 105647, 124955, 61826, 114435, 29295, 40862, 37689, 20230, 57237, 104984, 5486, 114731, 102781, 83799, 107328, 29295, 37656, 61337, 102351, 20230, 104721, 116547, 33541, 9174, 567, 102362, 103234, 126362, 107118, 198, 17792, 103234, 126362, 15682, 17792, 30512, 25132, 229, 102334, 16995, 19732, 113727, 100934, 114435, 19732, 120273, 103664, 30512, 102971, 102802, 5486, 17792, 103234, 30512, 126362, 39926, 126362, 42506, 30512, 50928, 30369, 91482, 76428, 102750, 22398, 38641, 1811, 17792, 103234, 126362, 108695, 112987, 47884, 59739, 116421, 83799, 107328, 20230, 17620, 32149, 106824, 61689, 1811, 32335, 32977, 89154, 70563, 72369, 109554, 26854, 102944, 29295, 13177, 108936, 126362, 9458, 125104, 25287, 10646, 36785, 102083, 105262, 123253, 1811, 108936, 126362, 9458, 125104, 25287, 77181, 17792, 103234, 126362, 108695, 29295, 33563, 19361, 54926, 124766, 107809, 55031, 5486, 114435, 16144, 78683, 106240, 30512, 112624, 28713, 17663, 17792, 103234, 30512, 126362, 78434, 1811, 17, 59739, 118322, 83799, 107328, 29295, 13177, 76739, 41758, 108270, 29220, 103906, 52884, 125175, 9458, 108768, 105404, 102040, 126092, 94550, 10646, 38641, 1811, 117896, 77181, 33563, 19361, 124766, 116749, 16144, 46034, 25333, 32977, 76706, 11883, 15024, 5486, 118935, 11883, 77195, 20230, 40862, 105260, 54926, 17792, 103234, 104088, 126268, 33541, 1811, 108695, 71289, 126913, 112919, 46034, 117395, 33671, 30537, 77181, 5486, 117032, 16144, 108436, 107430, 117903, 77181, 102404, 91774, 118765, 104622, 106241, 26854, 17792, 103234, 104088, 59739, 105784, 115789, 108608, 123253, 1811, 18, 59739, 118322, 83799, 107328, 15682, 5486, 88356, 81258, 107430, 122521, 25287, 7, 39880, 125916, 118192, 61398, 73590, 8, 38641, 1811, 88356, 81258, 107430, 122521, 25287, 77181, 5486, 105987, 106518, 71289, 118482, 123332, 31809, 50667, 16144, 115517, 55031, 127348, 64531, 22649, 30512, 111800, 118219, 16325, 16144, 114435, 20230, 122502, 50834, 126929, 5486, 64531, 113954, 25132, 229, 16144, 103359, 47523, 30046, 113115, 39926, 88356, 81258, 107430, 30512, 122521, 78434, 9174, 567, 102362, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 198, 17792, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 15682, 31091, 29295, 104409, 127280, 29295, 5486, 37087, 47884, 108010, 30297, 125175, 38641, 1811, 125175, 44915, 9458, 25132, 229, 11883, 36668, 9458, 47260, 71634, 5486, 18, 118821, 28190, 55031, 110176, 112919, 121953, 30512, 50338, 108323, 78434, 9174, 14711, 220, 118075, 125175, 44915, 198, 17792, 103234, 105647, 124955, 15682, 118935, 11883, 74482, 32977, 120321, 106307, 112535, 122521, 30512, 103350, 102923, 54926, 125175, 103195, 110115, 103359, 15024, 5486, 17792, 103234, 126362, 15682, 118935, 11883, 125344, 60868, 121057, 20230, 66378, 33208, 127145, 1811, 17792, 103234, 105647, 124955, 108695, 16144, 36668, 26854, 121101, 15682, 105647, 124955, 105335, 26269, 52591, 16144, 102647, 23187, 71289, 40452, 38641, 1811, 114435, 16144, 103963, 117943, 20230, 92776, 56051, 17792, 103234, 30512, 102647, 23187, 15024, 5486, 105647, 124955, 105335, 26269, 52591, 103306, 29220, 102803, 39880, 52414, 20230, 126362, 78434, 1811, 118935 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40265, 94923, 102052, 5486, 37026, 104063, 101365, 106613, 16144, 66953, 119930, 30512, 65854, 114181, 112535, 114140, 108608, 13177, 37026, 104063, 101365, 106613, 108867, 23187, 32648, 10646, 29295, 123231, 9174, 37026, 104063, 101365, 106613, 107118, 5486, 32943, 26274, 241, 16144, 117401, 71289, 31640, 118835, 5486, 40474, 91875, 104309, 30512, 47260, 52414, 42634, 64178, 15024, 64531, 107290, 47884, 115032, 101365, 106613, 115717, 33541, 9174, 37026, 104063, 101365, 106613, 102052, 13177, 39209, 99750, 101365, 106613, 66383, 13177, 106966, 39209, 99750, 101365, 106613, 117503, 25963, 118821, 101365, 106613, 115991, 36896, 39209, 99750, 101365, 106613, 10646, 15682, 112415, 112535, 91875, 47884, 110018, 20230, 122502, 47884, 101365, 106613, 16556, 36896, 106966, 39209, 99750, 101365, 106613, 10646, 15682, 37823, 32131, 107840, 109768, 104533, 50834, 20230, 122502, 47884, 101365, 106613, 115717, 33541, 9174, 71634, 108744, 71289, 108267, 103468, 104654, 108710, 101557, 96, 113468, 13177, 37026, 104063, 101365, 106613, 117503, 66953, 119930, 15682, 103553, 102, 33121, 126172, 26854, 76947, 103801, 61689, 9174, 37026, 104063, 101365, 106613, 29295, 108267, 106824, 114732, 19732, 5486, 111006, 29295, 39880, 113155, 93488, 117718, 121894, 20230, 103801, 16995, 5486, 114948, 22957, 31431, 71289, 103892, 108631, 5486, 40474, 91875, 21388, 104873, 5486, 16937, 120379, 5486, 25197, 102803, 32131, 5486, 104309, 103826, 104680, 26854, 111571, 103397, 125334, 38144, 50834, 38144, 103801, 61689, 9174, 85701, 33503, 15682, 5486, 122412, 113245, 111800, 112984, 103378, 77181, 26854, 107188, 32149, 113385, 29295, 17620, 124403, 105908, 43240, 102334, 62004, 36896, 37026, 104063, 101365, 106613, 21388, 104873, 111571, 66383, 103429, 13372, 30512, 122382, 124195, 114732, 115789, 57903, 33541, 9174, 80673, 36896, 37026, 104063, 101365, 106613, 108867, 23187, 32648, 118587, 38129, 54926, 30926, 16556, 5486, 65854, 114181, 112535, 111006, 16144, 121894, 30512, 102178, 111665, 54926, 105908, 106084, 33541, 1811, 165, 104247, 66285, 116, 71005, 109519, 77181, 37026, 104063, 101365, 106613, 16144, 108267, 33121, 30512, 64531, 105262, 30926, 20230, 66378, 33208, 127145, 9174, 58426, 103846, 5486, 108867, 23187, 32648, 16556, 108867, 100472, 9039, 112603, 30512, 121846, 20230, 15024, 121648, 103826, 115303, 31431, 115303, 112586, 40862, 100472, 102832, 71634, 26854, 71005, 109519, 25333, 117824, 107462, 47884, 105908, 106084, 33541, 9174, 53900, 5486, 23187, 23538, 112535, 108867, 23187, 54926, 30926, 16556, 111006, 16144, 104721, 33208, 30512, 53283, 30369, 105908, 106084, 5486, 8239, 114503, 30512, 103350, 99750, 15024, 126172, 16995, 106046, 61689, 9174, 14711, 85997, 94923, 113245, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 103359, 105226, 198, 40265, 94923, 77181, 121453, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 103359, 105226, 30512, 17599, 117, 104792, 39926, 23039, 76947, 108086, 33541, 106609, 118075, 94923, 32943, 33420, 109177, 16144, 17599, 117, 104792, 198, 119560, 33655, 16995, 15017, 101, 38144, 57207, 109089, 16144, 38129, 5486, 102832, 105404, 71289, 20119, 243, 16144, 33420, 109177, 198, 126892, 121648, 103826, 9458, 102923, 103991, 112919, 46034, 64467, 33420, 109177, 198, 49412, 96, 20713, 82973, 20230, 20713, 18904, 16144, 109033, 95221, 198, 49412, 97, 105335, 26269, 52591, 16144, 33014, 104840, 116696, 48552, 198, 49412, 98, 105335, 26269, 52591, 16144, 68759, 115592, 100815, 11883, 198, 49412, 99, 29220, 44971, 102832, 107805, 10110, 116294, 33710, 22398, 1484, 13, 24, 113127, 21418, 86436, 120732, 102332, 22324, 198, 49412, 100, 102923, 103991, 30046, 19732, 122013, 16144, 33014, 104873, 40452, 19732, 120270, 198, 121648, 103826, 20230, 51385, 64209, 39926, 71005, 109519, 114475, 107441, 115962, 47884, 103846, 115847, 120577, 99750, 108208, 103359, 105226, 15682, 17599, 117, 104792, 39926, 23039, 76947, 108086, 33541, 105879, 5486, 51385, 64209, 39926, 48154, 37507, 94923, 72315, 105823, 9174, 77693, 72661, 5486, 47260, 42634, 96452, 103359, 105226, 20230, 48154, 127408, 26854, 28542, 71289, 5486, 165, 104247, 66285, 116, 71005, 109519, 16556, 48154, 16937, 31958, 26854, 28542, 50667, 77121, 16995, 79721, 33503, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 106609, 14711, 83639, 123090, 106609, 165, 104247, 66285, 116, 71005, 109519, 29295, 85707, 107436, 120332, 9458, 71289, 100472, 107493, 8239, 114503, 125334, 104435, 24273, 9458, 53900, 60358, 47884, 16556, 33035, 102334, 16995, 24273, 104309, 5486, 118969, 75694, 17129, 26854, 24273, 125001, 33503, 42891, 116826, 104533, 91763, 61689, 9174, 13177, 165, 104247, 66285, 116, 10646, 105352, 50021, 34171, 115991, 5486, 105408, 113468, 32977, 118969, 75694, 17129, 26854, 71005, 109519, 16144, 41007, 29295, 121771, 98369, 57903, 33541, 9174, 85707, 107436, 16556, 165, 104247, 29295, 119467, 16995, 112160, 27479, 101682, 107674, 107493, 8239, 114503, 29295, 43568, 102518, 24273, 72661, 21043, 66776, 127637, 198, 40265, 94923, 16556, 33334, 111006, 112197, 101128, 102, 64121, 126130, 104655, 32149, 72342, 72315, 9174, 121648, 103826, 115303, 31431, 115303, 112586, 114146, 28713, 102832, 71634, 26854, 41007, 16556, 71005, 109519, 117824, 107462, 50834, 33541, 106609, 33334, 117384, 16556, 48154, 50021, 111813, 103378, 72661, 27384, 121313, 38641, 9174, 126843, 15682, 108948, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 6447, 128001, 128000, 21909, 44689, 30512, 105644, 28713, 104473, 107654, 111800, 112984, 16144, 91774, 24273, 111942, 198, 2511, 104102, 236, 86436, 16144, 77219, 198, 567, 113170, 112568, 16144, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 15682, 95532, 35894, 113351, 125344, 104473, 117587, 112603, 104309, 15682, 105298, 120761, 104309, 72661, 114652, 108867, 23187, 54926, 106046, 61689, 29295, 111476, 46702, 27113, 97049, 30512, 104087, 107800, 24273, 5486, 101182, 16995, 15682, 105268, 47884, 111243, 117587, 126017, 103429, 46729, 39276, 120332, 15682, 111476, 112371, 104328, 198, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 127268, 36761, 30512, 108867, 23187, 39926, 64121, 30369, 106592, 33334, 53508, 100, 62004, 78434, 1811, 107301, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 107118, 88435, 121640, 5486, 76171, 22398, 107805, 16144, 126120, 50834, 20230, 47884, 30813, 16144, 118733, 5486, 76171, 22398, 107805, 116875, 108324, 34171, 29295, 126574, 108680, 5486, 76171, 22398, 107805, 29295, 126120, 126660, 113334, 38641, 55031, 5486, 104473, 117587, 112603, 29295, 45736, 115737, 31431, 5486, 117587, 126017, 103429, 115717, 126172, 115737, 104533, 115963, 20230, 5486, 117178, 112624, 122603, 104473, 121819, 5486, 91875, 101171, 230, 110567, 33208, 32977, 113096, 103130, 39926, 103801, 61689, 9174, 103350, 20230, 111476, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 29295, 45736, 118145, 126574, 108680, 110482, 100472, 100909, 126529, 38641, 1811, 107301, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 29295, 126574, 110674, 54322, 76947, 33334, 126145, 122603, 115737, 100472, 104473, 117587, 112603, 30512, 17297, 102639, 101200, 19732, 5486, 122270, 76171, 22398, 107805, 29295, 17620, 14888, 234, 84389, 31195, 111476, 29295, 25827, 30512, 113096, 103130, 56051, 31431, 5486, 92877, 33208, 30512, 103856, 109013, 111842, 31195, 5486, 16995, 85791, 16995, 85791, 19732, 71289, 42891, 121867, 26854, 100909, 115717, 5486, 113614, 117539, 51609, 30512, 123332, 109315, 100909, 115717, 33541, 9174, 107943, 198, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 119627, 5486, 104473, 107654, 111800, 112984, 111831, 16144, 20713, 59739, 107301, 76171, 22398, 107805, 116875, 108324, 34171, 127268, 10110, 39, 1937, 32, 90581, 49, 7705, 36761, 16556, 5486, 112825, 110904, 20230, 53283, 30369, 105908, 125545, 3490, 43514, 26854, 64121, 20230, 44620, 76171, 22398, 107805, 116875, 108324, 34171, 36761, 30512, 103167, 47884, 54926, 10110, 23226, 106594, 54926, 7705, 41007, 15682, 111476, 75146, 107253, 112603, 10110, 120870, 112603, 119735, 198, 76171, 22398, 107805, 116875, 108324, 34171, 127268, 10110, 39, 1937, 32, 90581, 49, 7705, 104971, 20713, 59983, 60596, 198, 35894, 113351, 39177, 104473, 117587, 112603, 10110, 37, 7497, 7705, 104971, 78250, 27113, 12591, 96555, 15755, 226, 43, 198, 76171, 22398, 107805, 112603, 10110, 2871, 40, 7705, 115261, 25963, 21909, 78250, 44223, 52, 96555, 76, 43, 198, 101860, 81219, 31431, 31195, 117587, 105284, 44416, 48249, 102456, 10110, 102663, 20251, 16073, 102456, 7705, 38641, 9174, 17161, 113160, 5232, 109481, 94, 22656, 115189, 243, 198, 7511, 44620, 1569, 101, 123570, 124597, 47260, 44971, 106826, 42634, 64178, 36761, 112603, 30512, 45736, 109315, 41007, 198, 39880, 38248, 104, 25197, 52884, 198, 47307, 115695, 29220, 105284, 15682, 102780, 31431, 38144, 33541, 32149, 11571, 128001, 128000, 118482, 44915, 109853, 112197, 99397, 16995, 114146, 71289, 108948, 117876, 16144, 48154, 103963, 117943, 106116, 43511, 13870, 232, 61337, 103927, 103202, 122481, 16556, 48154, 16937, 31958, 26854, 28542, 104309, 29295, 77121, 16995, 79721, 33503, 5486, 17297, 61304, 112197, 99397, 16995, 114146, 108526, 103202, 55031, 33334, 99397, 16995, 114146, 72315, 9174, 2, 102362, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 107118, 95532, 567, 102362, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 30512, 50338, 108323, 198, 17792, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 29295, 17620, 124403, 19732, 33334, 101128, 102, 64121, 77181, 124897, 32149, 1811, 103350, 15682, 5486, 102362, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 77181, 5486, 125175, 44915, 71289, 47260, 71634, 50667, 5486, 118969, 75694, 17129, 26854, 121953, 107407, 16144, 38641, 123601, 77219, 77181, 118752, 60868, 113649, 117718, 66378, 17599, 112, 71289, 50021, 108010, 28542, 5486, 110176, 112919, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 126362, 78434, 9174, 102832, 20251, 96452, 91062, 17792, 103234, 118935, 11883, 109853, 125821, 53283, 31431, 106956, 24273, 15682, 5486, 112371, 104328, 102832, 20251, 96452, 91062, 17792, 103234, 126362, 9458, 105647, 124955, 16144, 103927, 108506, 66953, 48552, 16144, 19360, 116229, 30512, 48154, 111182, 72315, 9174, 567, 102362, 103234, 105647, 124955, 107118, 198, 17792, 103234, 105647, 124955, 15682, 5486, 61337, 102351, 30512, 43511, 114435, 20230, 105647, 124955, 39926, 126362, 42506, 30512, 50928, 30369, 118733, 13153, 31431, 80195, 59739, 91482, 76428, 102750, 22398, 38641, 1811, 17792, 103234, 105647, 124955, 16144, 83799, 107328, 15682, 110745, 50834, 47884, 108936, 105647, 124955, 19732, 126362, 103911, 23187, 105647, 124955, 16144, 17, 59739, 20230, 17620, 32149, 33121, 33541, 1811, 108936, 105647, 124955, 15682, 120273, 103664, 117232, 29295, 112624, 35287, 101983, 104984, 5486, 105647, 124955, 120273, 103664, 32977, 105721, 35287, 54926, 122502, 50834, 24273, 38641, 1811, 120273, 103664, 117232, 112624, 35287, 74482, 32977, 5486, 113801, 106307, 50834, 112361, 8239, 112, 122502, 30046, 30512, 105647, 124955, 61337, 102351, 103306, 107740, 56051, 16995, 39177, 15682, 5486, 120273, 103664, 30512, 51107, 21105, 103, 47884, 38144, 15682, 26854, 31431, 107515, 1811, 103359, 39926, 126362, 103911, 23187, 105647, 124955, 15682, 5486, 105647, 124955, 61826, 114435, 16144, 37656, 61337, 102351, 16556, 122502, 47884, 106592, 25580, 29172, 114267, 125175, 38641, 1811, 32335, 101544, 16556, 21, 2845, 113, 9953, 56965, 5486, 105647, 124955, 61337, 102351, 103306, 122502, 102334, 74482, 5486, 8239, 112, 122502, 30046, 19732, 105647, 124955, 61826, 114435, 29295, 40862, 37689, 20230, 57237, 104984, 5486, 114731, 102781, 83799, 107328, 29295, 37656, 61337, 102351, 20230, 104721, 116547, 33541, 9174, 567, 102362, 103234, 126362, 107118, 198, 17792, 103234, 126362, 15682, 17792, 30512, 25132, 229, 102334, 16995, 19732, 113727, 100934, 114435, 19732, 120273, 103664, 30512, 102971, 102802, 5486, 17792, 103234, 30512, 126362, 39926, 126362, 42506, 30512, 50928, 30369, 91482, 76428, 102750, 22398, 38641, 1811, 17792, 103234, 126362, 108695, 112987, 47884, 59739, 116421, 83799, 107328, 20230, 17620, 32149, 106824, 61689, 1811, 32335, 32977, 89154, 70563, 72369, 109554, 26854, 102944, 29295, 13177, 108936, 126362, 9458, 125104, 25287, 10646, 36785, 102083, 105262, 123253, 1811, 108936, 126362, 9458, 125104, 25287, 77181, 17792, 103234, 126362, 108695, 29295, 33563, 19361, 54926, 124766, 107809, 55031, 5486, 114435, 16144, 78683, 106240, 30512, 112624, 28713, 17663, 17792, 103234, 30512, 126362, 78434, 1811, 17, 59739, 118322, 83799, 107328, 29295, 13177, 76739, 41758, 108270, 29220, 103906, 52884, 125175, 9458, 108768, 105404, 102040, 126092, 94550, 10646, 38641, 1811, 117896, 77181, 33563, 19361, 124766, 116749, 16144, 46034, 25333, 32977, 76706, 11883, 15024, 5486, 118935, 11883, 77195, 20230, 40862, 105260, 54926, 17792, 103234, 104088, 126268, 33541, 1811, 108695, 71289, 126913, 112919, 46034, 117395, 33671, 30537, 77181, 5486, 117032, 16144, 108436, 107430, 117903, 77181, 102404, 91774, 118765, 104622, 106241, 26854, 17792, 103234, 104088, 59739, 105784, 115789, 108608, 123253, 1811, 18, 59739, 118322, 83799, 107328, 15682, 5486, 88356, 81258, 107430, 122521, 25287, 7, 39880, 125916, 118192, 61398, 73590, 8, 38641, 1811, 88356, 81258, 107430, 122521, 25287, 77181, 5486, 105987, 106518, 71289, 118482, 123332, 31809, 50667, 16144, 115517, 55031, 127348, 64531, 22649, 30512, 111800, 118219, 16325, 16144, 114435, 20230, 122502, 50834, 126929, 5486, 64531, 113954, 25132, 229, 16144, 103359, 47523, 30046, 113115, 39926, 88356, 81258, 107430, 30512, 122521, 78434, 9174, 567, 102362, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 198, 17792, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 15682, 31091, 29295, 104409, 127280, 29295, 5486, 37087, 47884, 108010, 30297, 125175, 38641, 1811, 125175, 44915, 9458, 25132, 229, 11883, 36668, 9458, 47260, 71634, 5486, 18, 118821, 28190, 55031, 110176, 112919, 121953, 30512, 50338, 108323, 78434, 9174, 14711, 220, 118075, 125175, 44915, 198, 17792, 103234, 105647, 124955, 15682, 118935, 11883, 74482, 32977, 120321, 106307, 112535, 122521, 30512, 103350, 102923, 54926, 125175, 103195, 110115, 103359, 15024, 5486, 17792, 103234, 126362, 15682, 118935, 11883, 125344, 60868, 121057, 20230, 66378, 33208, 127145, 1811, 17792, 103234, 105647, 124955, 108695, 16144, 36668, 26854, 121101, 15682, 105647, 124955, 105335, 26269, 52591, 16144, 102647, 23187, 71289, 40452, 38641, 1811, 114435, 16144, 103963, 117943, 20230, 92776, 56051, 17792, 103234, 30512, 102647, 23187, 15024, 5486, 105647, 124955, 105335, 26269, 52591, 103306, 29220, 102803, 39880, 52414, 20230, 126362, 78434, 1811, 118935 ]
[ 11883, 74482, 32977, 5486, 105647, 124955, 61826, 16556, 21990, 100204, 28713, 20251, 32131, 112193, 16144, 50021, 111813, 5486, 83812, 225, 35330, 16144, 46456, 124237, 16995, 123160, 121101, 32977, 126913, 21105, 103, 47884, 38144, 15682, 26854, 31431, 107515, 1811, 103359, 39926, 17792, 103234, 126362, 16144, 107803, 5486, 126913, 54926, 121101, 15682, 118935, 11883, 20230, 17129, 59739, 78183, 30369, 100909, 116771, 38641, 1811, 121101, 119318, 116310, 29295, 48249, 125398, 107118, 16995, 58942, 5486, 117876, 44915, 29295, 83747, 100604, 113334, 77181, 124897, 1811, 32018, 17792, 95544, 16144, 19967, 13153, 71289, 106608, 119890, 112919, 17792, 102647, 5486, 28190, 30177, 9080, 39607, 16144, 104873, 64531, 5486, 8239, 112, 122502, 77195, 16144, 39209, 35086, 231, 20230, 57237, 30369, 103296, 5486, 111044, 108285, 16995, 121101, 30512, 126913, 54926, 109215, 115991, 33541, 9174, 14711, 220, 119560, 25132, 229, 11883, 36668, 198, 17792, 103234, 105647, 124955, 16144, 107803, 5486, 105647, 124955, 105335, 26269, 52591, 16144, 25132, 229, 11883, 36668, 15682, 105647, 124955, 108695, 38641, 113637, 103846, 5486, 105647, 124955, 61826, 19732, 105335, 26269, 52591, 110792, 56965, 16556, 20251, 32131, 112193, 29295, 21990, 100204, 28713, 39177, 15682, 5486, 105647, 124955, 108695, 29295, 91739, 241, 40526, 115717, 33541, 115397, 24273, 5486, 17792, 103234, 126362, 16144, 107803, 5486, 105647, 124955, 105335, 26269, 52591, 16144, 25132, 229, 11883, 36668, 15682, 5486, 17792, 103234, 126362, 108695, 126194, 126362, 61826, 16144, 114435, 38641, 113637, 104466, 17792, 103234, 126362, 77181, 107430, 75267, 19732, 25132, 229, 11883, 36668, 29295, 42016, 15120, 119627, 5486, 17792, 103234, 105647, 124955, 16144, 107803, 5486, 110176, 30046, 15682, 15120, 105260, 109768, 107515, 9174, 14711, 220, 126892, 47260, 71634, 198, 17792, 103234, 105647, 124955, 101275, 16556, 102404, 21990, 54926, 36668, 26854, 17792, 14558, 106382, 15682, 5486, 105647, 124955, 105335, 26269, 52591, 16144, 110698, 42506, 38641, 118855, 105647, 124955, 61826, 15682, 105647, 124955, 108695, 113115, 39926, 5486, 105335, 26269, 52591, 16144, 110698, 42506, 20230, 17905, 110498, 72342, 39926, 5486, 46034, 9039, 42506, 30512, 46456, 124237, 30297, 109215, 115991, 33541, 1811, 17792, 103234, 126362, 15682, 5486, 17792, 103234, 16144, 118935, 11883, 29295, 104662, 117864, 126101, 126362, 42506, 30512, 46456, 124237, 30297, 123141, 38641, 1811, 126362, 42506, 16144, 50021, 75267, 15682, 5486, 105335, 26269, 52591, 16144, 110526, 8107, 110226, 112197, 57980, 27929, 966, 21909, 1272, 4, 118816, 117952, 106824, 61689, 1811, 122270, 5486, 118935, 11883, 123090, 21990, 100204, 30369, 110698, 42506, 71289, 104378, 106382, 11883, 104309, 32977, 46456, 124237, 16995, 106307, 76622, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 20251, 108337, 33710, 16556, 113727, 104533, 5486, 17792, 103234, 105647, 124955, 105755, 17792, 103234, 126362, 30512, 76706, 11883, 56051, 24273, 29295, 47260, 71634, 15682, 32149, 32149, 104533, 78244, 58942, 33541, 9174, 567, 102362, 103234, 105647, 124955, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 198, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 198, 17792, 103234, 105647, 124955, 126636, 112495, 39850, 37823, 67075, 15682, 5486, 78683, 106240, 20230, 92776, 56051, 115289, 122279, 26854, 118935, 11883, 29295, 88367, 26854, 100909, 38641, 1811, 105647, 124955, 105335, 26269, 52591, 30512, 30297, 17129, 47884, 76706, 11883, 126693, 5486, 47260, 71634, 119707, 76622, 101860, 20230, 118482, 30512, 18904, 17663, 105908, 103082, 38641, 1811, 107118, 16995, 58942, 5486, 108064, 72661, 118935, 11883, 71289, 120273, 103664, 16144, 50338, 21418, 29295, 108608, 113334, 77181, 124897, 1811, 110382, 77181, 5486, 102362, 103234, 105647, 124955, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 126362, 78434, 9174, 14711, 102362, 103234, 105647, 124955, 16144, 39850, 37823, 67075, 198, 17792, 103234, 105647, 124955, 77181, 5486, 117232, 20230, 23187, 62004, 107407, 19361, 23538, 8239, 112, 122502, 120273, 103664, 30512, 126233, 102971, 78434, 113637, 103846, 5486, 122678, 39177, 9554, 9458, 15120, 39177, 109904, 17792, 103234, 16144, 119890, 43167, 20230, 109431, 103792, 122502, 50834, 24273, 118816, 78244, 105262, 123253, 1811, 66378, 20230, 5486, 90962, 107610, 78683, 94550, 105335, 26269, 52591, 16144, 119890, 43167, 71289, 118095, 112008, 23538, 124911, 103234, 111983, 105843, 16144, 104983, 20230, 109431, 102769, 38641, 1811, 8239, 112, 122502, 117232, 30512, 104662, 107436, 25132, 229, 30297, 105908, 88367, 26854, 105879, 5486, 17792, 103234, 82420, 55723, 30512, 105226, 23187, 15024, 126172, 16995, 107173, 78244, 58942, 33541, 118855, 17792, 103234, 105647, 124955, 15682, 17663, 16556, 20230, 22398, 62903, 33710, 30512, 33563, 19361, 54926, 17792, 103234, 30512, 76706, 11883, 108608, 103846, 5486, 104378, 47260, 71634, 29295, 102717, 19732, 124592, 32149, 107277, 107515, 1811, 105647, 124955, 108695, 15682, 101772, 23951, 71289, 22398, 62903, 33710, 122060, 114305, 32977, 64531, 58942, 100934, 103846, 5486, 29220, 102803, 39880, 52414, 16144, 78683, 106240, 20230, 114146, 28713, 17792, 103234, 30512, 102647, 23187, 15024, 5486, 126362, 125545, 9174, 14711, 102362, 103234, 105647, 124955, 16144, 68408, 39850, 37823, 67075, 198, 17792, 103234, 105647, 124955, 30512, 76706, 11883, 54926, 27384, 112495, 68408, 39850, 37823, 67075, 15682, 5486, 66378, 23187, 124911, 103234, 30512, 102647, 103854, 100604, 120266, 57903, 33541, 1811, 105647, 124955, 108695, 113115, 39926, 108608, 104468, 13177, 51330, 105933, 22398, 62903, 33710, 9458, 106613, 111186, 30512, 104874, 107800, 17792, 103234, 29295, 111654, 102800, 66383, 108044, 105262, 100909, 116771, 38641, 1811, 17792, 103234, 16144, 124766, 30512, 109467, 91774, 38144, 13177, 51330, 114754, 111654, 102800, 66383, 95604, 104466, 5486, 109823, 54926, 109335, 103082, 107515, 1811, 105647, 124955, 61826, 114435, 111848, 102647, 78698, 15682, 8239, 112, 122502, 30046, 105647, 124955, 25333, 16556, 124260, 110731, 103846, 5486, 30926, 25580, 28190, 30177, 32977, 109947, 115717, 33541, 118855, 5486, 17792, 103234, 105647, 124955, 15682, 115289, 122279, 26854, 118935, 11883, 29295, 88367, 118816, 33334, 108044, 58942, 121256, 29295, 5486, 111764, 20230, 120273, 103664, 30512, 50338, 21418, 108608, 113334, 77181, 124897, 1811, 37656, 40265, 26854, 114667, 29295, 123207, 5486, 120273, 103664, 117232, 112624, 35287, 39177, 72661, 120273, 103664, 30512, 105721, 35287, 124545, 104468, 111108, 102800, 38641, 9174, 567, 102362, 103234, 126362, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 198, 17792, 103234, 126362, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 198, 17792, 103234, 126362, 15682, 118935, 11883, 121101, 30512, 37087, 38144, 31640, 23039, 39926, 120700, 33541, 1811, 118935, 11883, 56051, 17792, 103234, 15682, 37026, 61337, 16556, 109467, 25132, 229, 11883, 54926, 105908, 88367, 38641, 1811, 102362, 103234, 126362, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 116696, 48552, 103801, 109954, 9174, 14711, 102362, 103234, 126362, 16144, 39850, 37823, 67075, 198, 17792, 103234, 126362, 77181, 5486, 126362, 114475, 107674, 17792, 103234, 29295, 33563, 19361, 54926, 22398, 62903, 33710, 30512, 37026, 61337, 16144, 101335, 65299, 102040, 65299, 103306, 76706, 11883, 88367, 38641, 1811, 118935, 11883, 74482, 15682, 37656, 61337, 102351, 19732, 42016, 103826, 16144, 121247, 16995, 117282, 103846, 5486, 101544, 47884, 76706, 109526, 235, 39926, 102717, 102800, 17792, 103234, 30512, 119890, 120766, 16144, 114435, 20230, 109431, 127145, 118855, 5486, 118935, 11883, 112649, 117295, 85707, 23538, 47260, 71634, 29295, 17792, 103234, 105647, 124955, 126036, 83747, 100604, 123017, 66378, 17599, 112, 38641, 1811, 17792, 103234, 126362, 16556, 102404, 21990, 54926, 85707, 23538, 47260, 71634, 15682, 5486, 118935, 11883, 29295, 105184, 23187, 56051, 39177, 28542, 16556, 46456, 124237, 30297, 126362, 42506, 116771, 116787, 5486, 102647, 78698, 16144, 113702, 5486, 118935, 11883, 20230, 57237, 33503, 123207, 106382, 11883, 15682, 16, 35757, 32977, 102404, 21990, 103801, 72342, 25827, 1811, 122270, 17792, 103234, 126362, 30512, 76706, 11883, 126693, 5486, 118935, 11883, 126913, 30046, 71289, 17792, 30926, 16144, 49792, 9039, 21403, 232, 114485, 105352, 108385, 58318, 112990, 78244, 58942, 33541, 1811, 37026, 61337, 16556, 15120, 55031, 118935, 11883, 30512, 46034, 115856, 105784, 107803, 5486, 118935, 11883, 103927, 103202, 122481, 16144, 19967, 13153, 55031, 32018, 17792, 108285, 58655, 122483, 16144, 76706, 11883, 20230, 57237, 30369, 103296, 5486, 118969, 75694, 17129, 26854, 121101, 30512, 126913, 21105, 103, 118145, 26854, 31431, 107515, 1811, 17792, 103234, 114363, 103722, 16144, 108695, 29295, 19361, 54926, 104735, 101, 27384, 26854, 119526, 102832, 61398, 30512, 76706, 11883, 15024, 5486, 78683, 106240, 20230, 40862, 30297, 17792, 103234, 30512, 126120, 96455, 114652, 106767, 15024, 20834, 72342, 33541, 9174, 14711, 102362, 103234, 126362, 16144, 68408, 39850, 37823, 67075, 198, 17792, 103234, 126362, 30512, 76706, 11883, 54926, 68408, 39850, 37823, 67075, 15682, 5486, 20251, 108337, 114615, 118935, 11883, 47260, 71634, 29295, 45736, 109518, 115717, 126172, 16995, 100909, 38641, 1811, 61826, 20230, 126362, 56051, 121640, 5486, 126362, 42506, 16144, 50021, 75267, 15682, 32018, 107430, 112919, 110526, 8107, 110226, 16144, 103664, 966, 21909, 1272, 113127, 121711, 33541, 1811, 27452, 116285, 5486, 8107, 110226, 3443, 110743, 124911, 72661, 5486, 4364, 110743, 113314, 16144, 47260, 71634, 29295, 102404, 21990, 39926, 114732, 16144, 38641, 1811, 32018, 17792, 116229, 30512, 76706, 11883, 56051, 107803, 5486, 106382, 11883, 29295, 103664, 508, 21909, 966, 110743, 113314, 16556, 111587, 104004, 103846, 5486, 17792, 103234, 126362, 15682, 45736, 109518, 16144, 47260, 71634, 29295, 102404, 21990, 54926, 118935, 11883, 46034, 38574, 36785, 102083, 58942, 33541, 118855, 5486, 118935, 11883, 101335, 65299, 102040, 65299, 29295, 105623, 226, 108882, 84389, 100604, 115789, 68408, 39850, 37823, 67075, 112028, 59739, 1811, 17792, 103234, 126362, 15682, 118935, 11883, 121101, 30512, 48915, 26130, 39926, 43511, 61337, 20230, 49988, 122101, 125175, 38641, 1811, 49792, 9039, 21403, 232, 114485, 102052, 119448, 47884, 108385, 58318, 78434, 29295, 5486, 116900, 20230, 113727, 104533, 106613, 111186, 71289, 53283, 109375, 29295, 108618, 110104, 106592, 115552, 78434, 1811, 120321, 106307, 39926, 118482, 30512, 77413, 87447, 54926, 59739, 123731, 127303, 104984, 5486, 17792, 103234, 126362, 111363, 103963, 25359, 27479, 30512, 104195, 62004, 100604, 24273, 29295, 103424, 118544, 110241, 33121, 107515, 9174, 567, 102362, 103234, 126362, 101275, 16144, 76706, 11883, 119279, 125683, 62004, 198, 17792, 103234, 105647, 124955, 32977, 17792, 103234, 126362, 32977, 112160, 101544, 15120, 106649, 101182, 125175, 38641, 1811, 67645, 112384, 30512, 76706, 11883, 54926, 32149, 101128, 102, 17129, 115032, 105110, 5486, 102362, 103234, 126362, 126130, 125683, 62004, 78434, 1811, 26854, 112371, 105110, 5486, 37026, 61337, 20230, 92776, 56051, 17792, 103234, 30512, 126120, 96455, 112535, 91774, 126268, 126172, 102334, 62004, 38641, 1811, 101851, 102, 122202, 26854, 17792, 103234, 118935, 11883, 97518, 89046, 16144, 121101, 20230, 104862, 78183, 106824, 114732, 19732, 5486, 57942, 251, 64209, 16144, 22656, 101275, 29295, 91763, 30297, 104466, 103130, 62004, 102204, 123733, 31431, 33541, 1811, 47260, 71634, 15682, 104662, 39926, 103167, 16995, 107118, 78244, 58942, 107515, 29295, 5486, 43568, 102147, 226, 26854, 106382, 11883, 15682, 102404, 21990, 21105, 103, 102334, 62004, 5486, 95001, 112603, 29295, 126574, 118935, 11883, 125175, 118816, 78244, 105262, 123253, 1811, 107118, 16995, 58942, 5486, 107803, 113468, 15682, 17792, 103234, 126362, 105755, 17792, 103234, 105647, 124955, 16144, 107740, 29295, 109431, 103792, 115789, 1811, 110176, 112919, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 114652, 102178, 111665, 15024, 5486, 127749, 20230, 92776, 39926, 125175, 124905, 16995, 17620, 76622, 17129, 109954, 9174, 567, 115813, 20251, 96452, 91062, 17792, 103234, 118935, 11883, 76739, 78767, 78349, 52414, 198, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 126362, 9458, 105647, 124955, 126130, 22957, 26854, 30297, 103927, 108506, 66953, 48552, 121450, 77181, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 118935, 11883, 55031, 126362, 106116, 123470, 48154, 50021, 111813, 103296, 52591, 33710, 60868, 121057, 106609, 108038, 92693, 16556, 48154, 50021, 111813, 105005, 76947, 108086, 33541, 105879, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 118935, 11883, 76739, 78767, 78349, 52414, 103296, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 9174, 567, 105864, 246, 30926, 30512, 98499, 17129, 103468, 24273, 102416, 33334, 125683, 62004, 16144, 97518, 89046, 77219, 198, 17792, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 107118, 11571, 16144, 77219, 112987, 32149, 29295, 123253, 32149, 9174, 22656, 77219, 30512, 98499, 17129, 103468, 24273, 102052, 5486, 33671, 16144, 77219, 32977, 33334, 125683, 62004, 38641, 9174, 48915, 29504, 120207, 103234, 16144, 118935, 11883, 112772, 109215, 26854, 103911, 104874, 53283, 109375, 5486, 118935, 11883, 112772, 125338, 33334, 47884, 125231, 106592, 50520, 111, 106624, 50338, 108323, 127145, 9174, 48915, 29504, 120207, 103234, 16144, 118935, 11883, 30512, 48154, 111800, 118219, 110731, 24273, 15682, 5486, 112371, 104328, 114146, 38144, 48154, 111182, 72315, 105823, 9174, 53900, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 118935, 11883, 20230, 48154, 109834, 103868, 16144, 101182, 24273, 15682, 112371, 104328, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 126362, 9458, 105647, 124955, 16144, 103927, 108506, 66953, 48552, 121450, 102416, 48154, 89046, 117139, 72315, 9174, 104622, 106241, 26854, 102832, 20251, 96452, 91062, 17792, 103234, 71289, 118552, 103350, 108710, 21990, 30512, 48154, 126362, 9458, 105647, 124955, 107726, 100481, 90620, 50834, 33541, 1811, 112371, 104328, 114146, 38144, 48154, 111182, 72315, 9174, 679, 19, 116033, 108695, 102332, 80195, 23897, 104989, 5486, 118953, 107610, 108695, 7, 121450, 41758, 42634, 112164, 33710, 76739, 123581, 114676, 122835, 8, 19732, 89046, 120988, 15024, 5486, 40862, 82420, 7007, 14558, 71689, 16144, 102832, 20251, 96452, 91062, 17792, 103234, 126362, 9458, 105647, 124955, 103350, 116486, 30512, 110794, 33541, 9174, 47260, 32131, 91062, 77181, 106116, 106613, 111186, 71289, 53283, 109375, 30512, 118544, 15024, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 118935, 11883, 112415, 71289, 102832, 20251, 96452, 91062, 103130, 20834, 123410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11883, 74482, 32977, 5486, 105647, 124955, 61826, 16556, 21990, 100204, 28713, 20251, 32131, 112193, 16144, 50021, 111813, 5486, 83812, 225, 35330, 16144, 46456, 124237, 16995, 123160, 121101, 32977, 126913, 21105, 103, 47884, 38144, 15682, 26854, 31431, 107515, 1811, 103359, 39926, 17792, 103234, 126362, 16144, 107803, 5486, 126913, 54926, 121101, 15682, 118935, 11883, 20230, 17129, 59739, 78183, 30369, 100909, 116771, 38641, 1811, 121101, 119318, 116310, 29295, 48249, 125398, 107118, 16995, 58942, 5486, 117876, 44915, 29295, 83747, 100604, 113334, 77181, 124897, 1811, 32018, 17792, 95544, 16144, 19967, 13153, 71289, 106608, 119890, 112919, 17792, 102647, 5486, 28190, 30177, 9080, 39607, 16144, 104873, 64531, 5486, 8239, 112, 122502, 77195, 16144, 39209, 35086, 231, 20230, 57237, 30369, 103296, 5486, 111044, 108285, 16995, 121101, 30512, 126913, 54926, 109215, 115991, 33541, 9174, 14711, 220, 119560, 25132, 229, 11883, 36668, 198, 17792, 103234, 105647, 124955, 16144, 107803, 5486, 105647, 124955, 105335, 26269, 52591, 16144, 25132, 229, 11883, 36668, 15682, 105647, 124955, 108695, 38641, 113637, 103846, 5486, 105647, 124955, 61826, 19732, 105335, 26269, 52591, 110792, 56965, 16556, 20251, 32131, 112193, 29295, 21990, 100204, 28713, 39177, 15682, 5486, 105647, 124955, 108695, 29295, 91739, 241, 40526, 115717, 33541, 115397, 24273, 5486, 17792, 103234, 126362, 16144, 107803, 5486, 105647, 124955, 105335, 26269, 52591, 16144, 25132, 229, 11883, 36668, 15682, 5486, 17792, 103234, 126362, 108695, 126194, 126362, 61826, 16144, 114435, 38641, 113637, 104466, 17792, 103234, 126362, 77181, 107430, 75267, 19732, 25132, 229, 11883, 36668, 29295, 42016, 15120, 119627, 5486, 17792, 103234, 105647, 124955, 16144, 107803, 5486, 110176, 30046, 15682, 15120, 105260, 109768, 107515, 9174, 14711, 220, 126892, 47260, 71634, 198, 17792, 103234, 105647, 124955, 101275, 16556, 102404, 21990, 54926, 36668, 26854, 17792, 14558, 106382, 15682, 5486, 105647, 124955, 105335, 26269, 52591, 16144, 110698, 42506, 38641, 118855, 105647, 124955, 61826, 15682, 105647, 124955, 108695, 113115, 39926, 5486, 105335, 26269, 52591, 16144, 110698, 42506, 20230, 17905, 110498, 72342, 39926, 5486, 46034, 9039, 42506, 30512, 46456, 124237, 30297, 109215, 115991, 33541, 1811, 17792, 103234, 126362, 15682, 5486, 17792, 103234, 16144, 118935, 11883, 29295, 104662, 117864, 126101, 126362, 42506, 30512, 46456, 124237, 30297, 123141, 38641, 1811, 126362, 42506, 16144, 50021, 75267, 15682, 5486, 105335, 26269, 52591, 16144, 110526, 8107, 110226, 112197, 57980, 27929, 966, 21909, 1272, 4, 118816, 117952, 106824, 61689, 1811, 122270, 5486, 118935, 11883, 123090, 21990, 100204, 30369, 110698, 42506, 71289, 104378, 106382, 11883, 104309, 32977, 46456, 124237, 16995, 106307, 76622, 103470, 38144, 15682, 26854, 31431, 107515, 1811, 20251, 108337, 33710, 16556, 113727, 104533, 5486, 17792, 103234, 105647, 124955, 105755, 17792, 103234, 126362, 30512, 76706, 11883, 56051, 24273, 29295, 47260, 71634, 15682, 32149, 32149, 104533, 78244, 58942, 33541, 9174, 567, 102362, 103234, 105647, 124955, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 198, 39850, 37823, 67075, 68408, 39850, 37823, 67075, 198, 17792, 103234, 105647, 124955, 126636, 112495, 39850, 37823, 67075, 15682, 5486, 78683, 106240, 20230, 92776, 56051, 115289, 122279, 26854, 118935, 11883, 29295, 88367, 26854, 100909, 38641, 1811, 105647, 124955, 105335, 26269, 52591, 30512, 30297, 17129, 47884, 76706, 11883, 126693, 5486, 47260, 71634, 119707, 76622, 101860, 20230, 118482, 30512, 18904, 17663, 105908, 103082, 38641, 1811, 107118, 16995, 58942, 5486, 108064, 72661, 118935, 11883, 71289, 120273, 103664, 16144, 50338, 21418, 29295, 108608, 113334, 77181, 124897, 1811, 110382, 77181, 5486, 102362, 103234, 105647, 124955, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 126362, 78434, 9174, 14711, 102362, 103234, 105647, 124955, 16144, 39850, 37823, 67075, 198, 17792, 103234, 105647, 124955, 77181, 5486, 117232, 20230, 23187, 62004, 107407, 19361, 23538, 8239, 112, 122502, 120273, 103664, 30512, 126233, 102971, 78434, 113637, 103846, 5486, 122678, 39177, 9554, 9458, 15120, 39177, 109904, 17792, 103234, 16144, 119890, 43167, 20230, 109431, 103792, 122502, 50834, 24273, 118816, 78244, 105262, 123253, 1811, 66378, 20230, 5486, 90962, 107610, 78683, 94550, 105335, 26269, 52591, 16144, 119890, 43167, 71289, 118095, 112008, 23538, 124911, 103234, 111983, 105843, 16144, 104983, 20230, 109431, 102769, 38641, 1811, 8239, 112, 122502, 117232, 30512, 104662, 107436, 25132, 229, 30297, 105908, 88367, 26854, 105879, 5486, 17792, 103234, 82420, 55723, 30512, 105226, 23187, 15024, 126172, 16995, 107173, 78244, 58942, 33541, 118855, 17792, 103234, 105647, 124955, 15682, 17663, 16556, 20230, 22398, 62903, 33710, 30512, 33563, 19361, 54926, 17792, 103234, 30512, 76706, 11883, 108608, 103846, 5486, 104378, 47260, 71634, 29295, 102717, 19732, 124592, 32149, 107277, 107515, 1811, 105647, 124955, 108695, 15682, 101772, 23951, 71289, 22398, 62903, 33710, 122060, 114305, 32977, 64531, 58942, 100934, 103846, 5486, 29220, 102803, 39880, 52414, 16144, 78683, 106240, 20230, 114146, 28713, 17792, 103234, 30512, 102647, 23187, 15024, 5486, 126362, 125545, 9174, 14711, 102362, 103234, 105647, 124955, 16144, 68408, 39850, 37823, 67075, 198, 17792, 103234, 105647, 124955, 30512, 76706, 11883, 54926, 27384, 112495, 68408, 39850, 37823, 67075, 15682, 5486, 66378, 23187, 124911, 103234, 30512, 102647, 103854, 100604, 120266, 57903, 33541, 1811, 105647, 124955, 108695, 113115, 39926, 108608, 104468, 13177, 51330, 105933, 22398, 62903, 33710, 9458, 106613, 111186, 30512, 104874, 107800, 17792, 103234, 29295, 111654, 102800, 66383, 108044, 105262, 100909, 116771, 38641, 1811, 17792, 103234, 16144, 124766, 30512, 109467, 91774, 38144, 13177, 51330, 114754, 111654, 102800, 66383, 95604, 104466, 5486, 109823, 54926, 109335, 103082, 107515, 1811, 105647, 124955, 61826, 114435, 111848, 102647, 78698, 15682, 8239, 112, 122502, 30046, 105647, 124955, 25333, 16556, 124260, 110731, 103846, 5486, 30926, 25580, 28190, 30177, 32977, 109947, 115717, 33541, 118855, 5486, 17792, 103234, 105647, 124955, 15682, 115289, 122279, 26854, 118935, 11883, 29295, 88367, 118816, 33334, 108044, 58942, 121256, 29295, 5486, 111764, 20230, 120273, 103664, 30512, 50338, 21418, 108608, 113334, 77181, 124897, 1811, 37656, 40265, 26854, 114667, 29295, 123207, 5486, 120273, 103664, 117232, 112624, 35287, 39177, 72661, 120273, 103664, 30512, 105721, 35287, 124545, 104468, 111108, 102800, 38641, 9174, 567, 102362, 103234, 126362, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 198, 17792, 103234, 126362, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 198, 17792, 103234, 126362, 15682, 118935, 11883, 121101, 30512, 37087, 38144, 31640, 23039, 39926, 120700, 33541, 1811, 118935, 11883, 56051, 17792, 103234, 15682, 37026, 61337, 16556, 109467, 25132, 229, 11883, 54926, 105908, 88367, 38641, 1811, 102362, 103234, 126362, 16144, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 116696, 48552, 103801, 109954, 9174, 14711, 102362, 103234, 126362, 16144, 39850, 37823, 67075, 198, 17792, 103234, 126362, 77181, 5486, 126362, 114475, 107674, 17792, 103234, 29295, 33563, 19361, 54926, 22398, 62903, 33710, 30512, 37026, 61337, 16144, 101335, 65299, 102040, 65299, 103306, 76706, 11883, 88367, 38641, 1811, 118935, 11883, 74482, 15682, 37656, 61337, 102351, 19732, 42016, 103826, 16144, 121247, 16995, 117282, 103846, 5486, 101544, 47884, 76706, 109526, 235, 39926, 102717, 102800, 17792, 103234, 30512, 119890, 120766, 16144, 114435, 20230, 109431, 127145, 118855, 5486, 118935, 11883, 112649, 117295, 85707, 23538, 47260, 71634, 29295, 17792, 103234, 105647, 124955, 126036, 83747, 100604, 123017, 66378, 17599, 112, 38641, 1811, 17792, 103234, 126362, 16556, 102404, 21990, 54926, 85707, 23538, 47260, 71634, 15682, 5486, 118935, 11883, 29295, 105184, 23187, 56051, 39177, 28542, 16556, 46456, 124237, 30297, 126362, 42506, 116771, 116787, 5486, 102647, 78698, 16144, 113702, 5486, 118935, 11883, 20230, 57237, 33503, 123207, 106382, 11883, 15682, 16, 35757, 32977, 102404, 21990, 103801, 72342, 25827, 1811, 122270, 17792, 103234, 126362, 30512, 76706, 11883, 126693, 5486, 118935, 11883, 126913, 30046, 71289, 17792, 30926, 16144, 49792, 9039, 21403, 232, 114485, 105352, 108385, 58318, 112990, 78244, 58942, 33541, 1811, 37026, 61337, 16556, 15120, 55031, 118935, 11883, 30512, 46034, 115856, 105784, 107803, 5486, 118935, 11883, 103927, 103202, 122481, 16144, 19967, 13153, 55031, 32018, 17792, 108285, 58655, 122483, 16144, 76706, 11883, 20230, 57237, 30369, 103296, 5486, 118969, 75694, 17129, 26854, 121101, 30512, 126913, 21105, 103, 118145, 26854, 31431, 107515, 1811, 17792, 103234, 114363, 103722, 16144, 108695, 29295, 19361, 54926, 104735, 101, 27384, 26854, 119526, 102832, 61398, 30512, 76706, 11883, 15024, 5486, 78683, 106240, 20230, 40862, 30297, 17792, 103234, 30512, 126120, 96455, 114652, 106767, 15024, 20834, 72342, 33541, 9174, 14711, 102362, 103234, 126362, 16144, 68408, 39850, 37823, 67075, 198, 17792, 103234, 126362, 30512, 76706, 11883, 54926, 68408, 39850, 37823, 67075, 15682, 5486, 20251, 108337, 114615, 118935, 11883, 47260, 71634, 29295, 45736, 109518, 115717, 126172, 16995, 100909, 38641, 1811, 61826, 20230, 126362, 56051, 121640, 5486, 126362, 42506, 16144, 50021, 75267, 15682, 32018, 107430, 112919, 110526, 8107, 110226, 16144, 103664, 966, 21909, 1272, 113127, 121711, 33541, 1811, 27452, 116285, 5486, 8107, 110226, 3443, 110743, 124911, 72661, 5486, 4364, 110743, 113314, 16144, 47260, 71634, 29295, 102404, 21990, 39926, 114732, 16144, 38641, 1811, 32018, 17792, 116229, 30512, 76706, 11883, 56051, 107803, 5486, 106382, 11883, 29295, 103664, 508, 21909, 966, 110743, 113314, 16556, 111587, 104004, 103846, 5486, 17792, 103234, 126362, 15682, 45736, 109518, 16144, 47260, 71634, 29295, 102404, 21990, 54926, 118935, 11883, 46034, 38574, 36785, 102083, 58942, 33541, 118855, 5486, 118935, 11883, 101335, 65299, 102040, 65299, 29295, 105623, 226, 108882, 84389, 100604, 115789, 68408, 39850, 37823, 67075, 112028, 59739, 1811, 17792, 103234, 126362, 15682, 118935, 11883, 121101, 30512, 48915, 26130, 39926, 43511, 61337, 20230, 49988, 122101, 125175, 38641, 1811, 49792, 9039, 21403, 232, 114485, 102052, 119448, 47884, 108385, 58318, 78434, 29295, 5486, 116900, 20230, 113727, 104533, 106613, 111186, 71289, 53283, 109375, 29295, 108618, 110104, 106592, 115552, 78434, 1811, 120321, 106307, 39926, 118482, 30512, 77413, 87447, 54926, 59739, 123731, 127303, 104984, 5486, 17792, 103234, 126362, 111363, 103963, 25359, 27479, 30512, 104195, 62004, 100604, 24273, 29295, 103424, 118544, 110241, 33121, 107515, 9174, 567, 102362, 103234, 126362, 101275, 16144, 76706, 11883, 119279, 125683, 62004, 198, 17792, 103234, 105647, 124955, 32977, 17792, 103234, 126362, 32977, 112160, 101544, 15120, 106649, 101182, 125175, 38641, 1811, 67645, 112384, 30512, 76706, 11883, 54926, 32149, 101128, 102, 17129, 115032, 105110, 5486, 102362, 103234, 126362, 126130, 125683, 62004, 78434, 1811, 26854, 112371, 105110, 5486, 37026, 61337, 20230, 92776, 56051, 17792, 103234, 30512, 126120, 96455, 112535, 91774, 126268, 126172, 102334, 62004, 38641, 1811, 101851, 102, 122202, 26854, 17792, 103234, 118935, 11883, 97518, 89046, 16144, 121101, 20230, 104862, 78183, 106824, 114732, 19732, 5486, 57942, 251, 64209, 16144, 22656, 101275, 29295, 91763, 30297, 104466, 103130, 62004, 102204, 123733, 31431, 33541, 1811, 47260, 71634, 15682, 104662, 39926, 103167, 16995, 107118, 78244, 58942, 107515, 29295, 5486, 43568, 102147, 226, 26854, 106382, 11883, 15682, 102404, 21990, 21105, 103, 102334, 62004, 5486, 95001, 112603, 29295, 126574, 118935, 11883, 125175, 118816, 78244, 105262, 123253, 1811, 107118, 16995, 58942, 5486, 107803, 113468, 15682, 17792, 103234, 126362, 105755, 17792, 103234, 105647, 124955, 16144, 107740, 29295, 109431, 103792, 115789, 1811, 110176, 112919, 39850, 37823, 67075, 9458, 68408, 39850, 37823, 67075, 30512, 114652, 102178, 111665, 15024, 5486, 127749, 20230, 92776, 39926, 125175, 124905, 16995, 17620, 76622, 17129, 109954, 9174, 567, 115813, 20251, 96452, 91062, 17792, 103234, 118935, 11883, 76739, 78767, 78349, 52414, 198, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 126362, 9458, 105647, 124955, 126130, 22957, 26854, 30297, 103927, 108506, 66953, 48552, 121450, 77181, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 118935, 11883, 55031, 126362, 106116, 123470, 48154, 50021, 111813, 103296, 52591, 33710, 60868, 121057, 106609, 108038, 92693, 16556, 48154, 50021, 111813, 105005, 76947, 108086, 33541, 105879, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 118935, 11883, 76739, 78767, 78349, 52414, 103296, 33334, 95221, 117355, 107898, 99397, 16995, 114146, 72315, 9174, 567, 105864, 246, 30926, 30512, 98499, 17129, 103468, 24273, 102416, 33334, 125683, 62004, 16144, 97518, 89046, 77219, 198, 17792, 103234, 105647, 124955, 19732, 17792, 103234, 126362, 16144, 121953, 107118, 11571, 16144, 77219, 112987, 32149, 29295, 123253, 32149, 9174, 22656, 77219, 30512, 98499, 17129, 103468, 24273, 102052, 5486, 33671, 16144, 77219, 32977, 33334, 125683, 62004, 38641, 9174, 48915, 29504, 120207, 103234, 16144, 118935, 11883, 112772, 109215, 26854, 103911, 104874, 53283, 109375, 5486, 118935, 11883, 112772, 125338, 33334, 47884, 125231, 106592, 50520, 111, 106624, 50338, 108323, 127145, 9174, 48915, 29504, 120207, 103234, 16144, 118935, 11883, 30512, 48154, 111800, 118219, 110731, 24273, 15682, 5486, 112371, 104328, 114146, 38144, 48154, 111182, 72315, 105823, 9174, 53900, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 118935, 11883, 20230, 48154, 109834, 103868, 16144, 101182, 24273, 15682, 112371, 104328, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 126362, 9458, 105647, 124955, 16144, 103927, 108506, 66953, 48552, 121450, 102416, 48154, 89046, 117139, 72315, 9174, 104622, 106241, 26854, 102832, 20251, 96452, 91062, 17792, 103234, 71289, 118552, 103350, 108710, 21990, 30512, 48154, 126362, 9458, 105647, 124955, 107726, 100481, 90620, 50834, 33541, 1811, 112371, 104328, 114146, 38144, 48154, 111182, 72315, 9174, 679, 19, 116033, 108695, 102332, 80195, 23897, 104989, 5486, 118953, 107610, 108695, 7, 121450, 41758, 42634, 112164, 33710, 76739, 123581, 114676, 122835, 8, 19732, 89046, 120988, 15024, 5486, 40862, 82420, 7007, 14558, 71689, 16144, 102832, 20251, 96452, 91062, 17792, 103234, 126362, 9458, 105647, 124955, 103350, 116486, 30512, 110794, 33541, 9174, 47260, 32131, 91062, 77181, 106116, 106613, 111186, 71289, 53283, 109375, 30512, 118544, 15024, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 118935, 11883, 112415, 71289, 102832, 20251, 96452, 91062, 103130, 20834, 123410 ]
[ 104983, 20230, 107734, 80195, 59739, 5486, 19361, 105576, 26854, 108134, 30512, 102404, 22023, 54926, 106592, 30832, 112535, 5486, 23187, 23538, 112535, 51107, 127145, 9174, 77219, 16144, 114363, 103722, 17620, 102212, 15682, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 118935, 11883, 9458, 105647, 124955, 9458, 126362, 5486, 102832, 20251, 96452, 91062, 103130, 20834, 109713, 60868, 33710, 103906, 94550, 9174, 103927, 108506, 66953, 48552, 121450, 77181, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 114363, 103722, 16144, 126362, 9458, 105647, 124955, 108695, 103306, 5486, 17297, 61304, 16144, 121640, 5486, 29504, 105755, 110008, 104736, 31540, 30512, 16995, 90620, 102532, 108086, 33541, 9174, 679, 22, 8107, 2371, 9953, 104408, 42506, 107430, 101275, 126362, 118482, 110008, 31540, 115181, 220, 1544, 25005, 99, 11972, 13121, 4278, 128001, 128000, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 120732, 40452, 121101, 122474, 30046, 106081, 111186, 16144, 110022, 107624, 124192, 109638, 110895, 16144, 106081, 111186, 101427, 122, 70141, 71289, 61633, 28542, 106116, 103359, 105226, 30512, 123011, 62004, 100934, 124192, 109638, 110895, 16144, 106081, 111186, 15682, 5486, 102717, 109416, 27452, 8107, 121640, 115287, 29295, 5486, 43511, 110895, 107118, 119448, 47884, 108901, 109020, 20834, 104482, 29295, 26854, 103646, 118855, 5486, 111108, 99397, 32977, 5486, 50021, 124500, 121140, 20834, 104482, 116216, 108086, 5486, 101682, 111186, 21990, 15682, 95221, 116825, 105784, 109215, 107407, 9174, 102971, 105242, 55031, 112844, 19732, 5486, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 120732, 40452, 121101, 122474, 30046, 106081, 111186, 30512, 110022, 107624, 112990, 36896, 25963, 110993, 33208, 66383, 13177, 23226, 23187, 30926, 105904, 117503, 25963, 28542, 20230, 43167, 103664, 107001, 5486, 102083, 100472, 111352, 25333, 38641, 9174, 126843, 36896, 25963, 110993, 33208, 10646, 55031, 91774, 100481, 50834, 17129, 109954, 9174, 40452, 121101, 122474, 30046, 15682, 115847, 103296, 16144, 106081, 111186, 72661, 5486, 71493, 114483, 16073, 26854, 109606, 15682, 71493, 114483, 16073, 126529, 119627, 5486, 111108, 102800, 109606, 104856, 104533, 5486, 46034, 32977, 102780, 32977, 20834, 100604, 101427, 122, 70141, 115991, 79721, 9174, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 120732, 106081, 111186, 72661, 5486, 42016, 103826, 16144, 101427, 122, 70141, 29295, 106307, 102532, 108086, 5486, 53900, 108048, 29295, 121200, 31958, 104856, 76947, 61689, 9174, 40265, 109638, 110895, 16144, 103188, 86436, 99397, 15682, 36896, 114565, 966, 8107, 104102, 236, 86436, 99397, 10646, 20230, 123680, 102639, 127280, 29295, 5486, 28713, 19732, 116285, 36896, 972, 99397, 5232, 127178, 75146, 107253, 25333, 31021, 111983, 104195, 109713, 107167, 84477, 118565, 48552, 67178, 16144, 59657, 222, 10646, 71289, 13177, 1187, 99397, 5232, 101987, 104654, 108729, 82420, 55723, 10646, 104309, 15682, 5486, 47406, 103899, 103082, 28713, 101682, 111186, 21990, 15682, 5486, 112073, 43568, 103195, 32149, 106046, 123671, 33541, 9174, 80673, 5486, 61826, 120950, 111108, 99397, 107407, 95543, 28190, 5486, 70821, 25333, 71289, 24775, 17620, 56438, 25333, 5486, 109431, 37656, 33208, 25333, 50667, 16144, 20834, 104482, 15682, 5486, 103350, 20230, 90962, 38248, 121, 45923, 107840, 16556, 5486, 57933, 62903, 71634, 44971, 102832, 114615, 109606, 122416, 16556, 56051, 9174, 565, 114387, 33671, 30537, 16556, 5486, 40265, 109638, 110895, 16144, 22656, 106081, 111186, 15682, 5486, 71493, 114483, 16073, 26854, 109606, 19732, 111108, 102800, 109606, 29295, 103350, 20230, 120222, 103351, 19732, 78244, 58942, 33541, 1811, 12423, 108895, 56051, 101427, 122, 70141, 55031, 112990, 5486, 75146, 17920, 236, 9458, 108729, 44971, 102832, 114615, 109606, 15682, 93056, 110993, 48634, 863, 18655, 30369, 105908, 115847, 103296, 71689, 20230, 5486, 107693, 117084, 61689, 9174, 61826, 43032, 56051, 104466, 5486, 50021, 124500, 121140, 13177, 26892, 53953, 66383, 13177, 109205, 69978, 9458, 23951, 103721, 243, 10646, 15682, 111108, 106624, 38144, 5486, 57933, 62903, 71634, 30512, 127075, 110645, 56051, 20834, 104482, 32977, 117902, 106624, 100604, 103846, 5486, 66224, 21909, 66115, 99397, 71689, 15682, 5486, 28542, 30512, 21388, 61689, 9174, 53900, 5486, 107218, 123, 61304, 16144, 53283, 109375, 16144, 100604, 17792, 102052, 36896, 38093, 82420, 118587, 102936, 19732, 17663, 123253, 55031, 5486, 25963, 99397, 15682, 21388, 28542, 54926, 100909, 115717, 33541, 9174, 85701, 121142, 36896, 78250, 99397, 10646, 60358, 16995, 21388, 28542, 121711, 33541, 9174, 127706, 28542, 29295, 13177, 34617, 44597, 28542, 66383, 124572, 23187, 126693, 5486, 28713, 100472, 13177, 44597, 99397, 10646, 67016, 5486, 56965, 108010, 58942, 102204, 100604, 100909, 115717, 33541, 9174, 13177, 26892, 53953, 10646, 71289, 13177, 109205, 69978, 23951, 103721, 243, 118587, 21418, 76622, 81219, 5486, 20713, 99397, 20713, 99397, 15682, 5486, 126920, 57933, 62903, 71634, 44971, 102832, 114615, 109606, 126529, 38641, 9174, 104405, 120837, 102404, 21990, 54926, 13177, 21388, 28542, 10646, 20230, 104874, 105262, 103846, 36896, 198, 18655, 104028, 109606, 15682, 5486, 115924, 103359, 20230, 102936, 19732, 30813, 100604, 10646, 105908, 5486, 36651, 101275, 127706, 16144, 62903, 102494, 104856, 76947, 61689, 9174, 111108, 102800, 109335, 21105, 103, 47884, 100481, 16995, 105879, 5486, 57933, 62903, 71634, 16144, 102097, 98499, 19732, 103188, 86436, 99397, 102446, 108710, 15682, 5486, 50834, 120240, 31431, 103306, 33334, 47884, 125231, 38641, 9174, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 120732, 106081, 111186, 77181, 36896, 23226, 23187, 30926, 105904, 10646, 29295, 9039, 99397, 20834, 104482, 84389, 79721, 9174, 85701, 29295, 5486, 101682, 111186, 21990, 16144, 102780, 30512, 93056, 107188, 31431, 863, 73686, 42891, 105714, 100472, 104466, 91763, 123671, 33541, 9174, 40452, 121101, 122474, 112919, 127706, 28542, 15682, 5486, 27452, 8107, 36896, 34617, 44597, 28542, 25580, 74482, 118587, 84851, 60634, 109768, 79721, 9174, 80673, 5486, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 7705, 77181, 5486, 127706, 28542, 15682, 13177, 34617, 34617, 28542, 66383, 5486, 25963, 120098, 108680, 5486, 103167, 17297, 127145, 1811, 220, 58426, 113385, 15682, 36896, 23226, 23187, 30926, 105904, 117503, 20834, 104482, 20230, 105693, 32149, 106046, 123671, 33541, 1811, 1328, 13177, 123782, 40452, 106045, 103664, 10646, 20230, 36896, 110665, 48634, 108638, 102351, 10646, 71289, 13177, 48915, 34048, 114363, 103722, 46729, 117503, 106045, 23187, 16144, 116155, 10110, 23226, 23187, 7705, 122291, 16144, 119627, 115847, 33503, 23226, 23187, 30926, 105904, 29295, 5486, 71634, 44971, 84477, 117158, 104482, 84389, 79721, 1811, 12423, 51330, 103846, 5486, 23226, 23187, 30926, 105904, 20230, 115514, 118487, 122291, 116537, 5486, 107188, 31431, 107202, 102669, 56051, 116497, 38641, 9174, 23226, 23187, 30926, 105904, 16144, 20834, 104482, 15682, 1981, 111476, 1981, 104309, 115991, 79721, 29295, 5486, 121507, 57942, 95, 16144, 20713, 59739, 103306, 20834, 115926, 5486, 20713, 99397, 113692, 48154, 19732, 103351, 31431, 16556, 5486, 104754, 64889, 107113, 101682, 111186, 21990, 15682, 110745, 50834, 47884, 28542, 30512, 102936, 114267, 116497, 38641, 9174, 51330, 9039, 8107, 15682, 36896, 123782, 40452, 106045, 103664, 10646, 50667, 16144, 23226, 23187, 29295, 104435, 103846, 5486, 23226, 23187, 30512, 57933, 108941, 114267, 109606, 125334, 104482, 84389, 101860, 5486, 59739, 108064, 16995, 5486, 104754, 64889, 107113, 101682, 111186, 21990, 32977, 43240, 102518, 116497, 38641, 9174, 80673, 123213, 110895, 16144, 106081, 111186, 30512, 124140, 64121, 104984, 5486, 40452, 121101, 122474, 30046, 121960, 32977, 36896, 23226, 23187, 30926, 105904, 10646, 71289, 13177, 25333, 23226, 37656, 30926, 105904, 118587, 5486, 30358, 103984, 21105, 103, 16995, 102083, 124324, 109335, 37026, 31958, 38641, 9174, 33334, 33655, 117714, 57933, 62903, 71634, 71289, 103188, 86436, 99397, 16144, 121225, 126328, 106116, 116358, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 30512, 5486, 24317, 50667, 16556, 104908, 103792, 116497, 38641, 9174, 101182, 113314, 5486, 106081, 111186, 53508, 231, 104195, 29295, 103130, 102189, 33503, 108048, 33503, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 30512, 17701, 46034, 39926, 5486, 104257, 121370, 20230, 98499, 64121, 104526, 104127, 33334, 50834, 5486, 83687, 71289, 106045, 23187, 5486, 62903, 25005, 107, 65575, 30512, 5486, 110408, 107290, 33334, 47884, 109215, 115991, 33541, 9174, 22656, 110895, 119775, 5486, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 15682, 5486, 74245, 79059, 16556, 5486, 67016, 32977, 5486, 9039, 99397, 20230, 78183, 28713, 76947, 20834, 104482, 107001, 125396, 115991, 33541, 9174, 61826, 43032, 56051, 104466, 123213, 110895, 15682, 5486, 127706, 28542, 29295, 17297, 29295, 31431, 79721, 9174, 59739, 109709, 5486, 43240, 119064, 101682, 111186, 21990, 29295, 36896, 23226, 23187, 30926, 105904, 10646, 16556, 21388, 28542, 56051, 105908, 84851, 23187, 108608, 113334, 119627, 111476, 565, 85701, 15682, 5486, 116900, 30512, 78244, 116285, 36896, 23226, 23187, 30926, 105904, 10646, 30813, 58942, 57207, 26269, 71493, 37823, 71289, 100472, 101682, 111186, 21990, 15682, 5486, 116511, 104680, 19732, 127706, 56051, 106592, 115552, 78434, 1811, 103350, 105284, 57326, 112718, 25963, 21909, 34617, 28542, 105693, 100909, 108176, 55031, 38641, 1811, 12423, 40452, 121101, 122474, 30046, 72661, 5486, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 15682, 110745, 30926, 38641, 9174, 13177, 198, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 15682, 5486, 59614, 101860, 5486, 116696, 48552, 10646, 29295, 123213, 110895, 55031, 50928, 109115, 102669, 120117, 116787, 33541, 9174, 27347, 64121, 103171, 19732, 122908, 39880, 54926, 198, 88852, 15682, 5486, 108112, 110104, 119526, 109739, 102802, 38641, 1811, 45631, 16995, 47884, 59739, 101182, 32149, 91006, 39276, 16144, 109606, 15682, 5486, 121507, 57942, 95, 16144, 37656, 125144, 30512, 122617, 114146, 100604, 102083, 1131, 106307, 50834, 114447, 198, 51330, 122481, 15682, 5486, 106081, 111186, 37087, 33014, 16144, 110022, 107624, 38641, 1811, 111374, 30832, 103283, 16144, 110022, 107624, 15682, 13177, 117896, 126557, 220, 53900, 36896, 49, 16, 117503, 106081, 111186, 109853, 15682, 36896, 36651, 1131, 106307, 50834, 114447, 198, 51330, 122481, 15682, 36896, 106081, 111186, 70626, 30832, 103283, 117503, 110022, 107624, 38641, 1811, 104626, 99, 111186, 37087, 33014, 16144, 110022, 107624, 15682, 13177, 117896, 126557, 220, 53900, 36896, 49, 16, 117503, 106081, 111186, 109853, 1131, 106307, 50834, 114447, 198, 102971, 105242, 55031, 112844, 19732, 5486, 15682, 100204, 107436, 70821, 25333, 30512, 53508, 231, 104195, 54926, 116537, 115515, 18904, 16144, 13177, 25333, 23226, 37656, 10646, 126699, 112179, 25827, 30512, 5486, 104195, 47884, 37689, 109375, 54926, 109215, 15682, 124897, 1131, 106307, 50834, 114447, 198, 70821, 25333, 23226, 37656, 16144, 117375, 30512, 32977, 85791, 20230, 101682, 105784, 104468, 5486, 25333, 48864, 34048, 124305, 124911, 110162, 5486, 103087, 35083, 106081, 111186, 50667, 16556, 70821, 25333, 30512, 53508, 231, 104195, 56051, 100909, 16144, 101182, 17792, 102083, 100472, 13177, 1131, 106307, 50834, 114447, 128001, 128000, 104473, 121819, 29295, 126574, 102083, 78183, 106824, 33334, 117434, 30512, 115320, 126559, 110115, 5486, 104473, 121819, 29295, 26854, 107188, 32149, 17297, 29295, 31431, 107515, 198, 45736, 104473, 121819, 16144, 117434, 29295, 126120, 50834, 20230, 47884, 16995, 113385, 102052, 67645, 103171, 105908, 113727, 102204, 33541, 32149, 95532, 102083, 100472, 107750, 99397, 114792, 103836, 24273, 16144, 101128, 102, 64121, 30512, 50338, 108323, 78434, 9174, 40265, 107167, 122842, 105352, 121771, 115867, 45736, 104473, 121819, 121648, 29295, 33035, 94923, 116216, 5486, 104654, 108710, 101557, 96, 16144, 23226, 106594, 71289, 45736, 104473, 121819, 113115, 54926, 117434, 53953, 71005, 109519, 30512, 120321, 106307, 126020, 33541, 9174, 51330, 77219, 77181, 45736, 104473, 121819, 16144, 113385, 19732, 33334, 117434, 30512, 16144, 25827, 72661, 26854, 107188, 32149, 104473, 121819, 29295, 17297, 29295, 110104, 107803, 20230, 113727, 110071, 100909, 109853, 50338, 108323, 78434, 9174, 567, 103372, 104473, 121819, 16144, 113385, 198, 45736, 104473, 121819, 102052, 16995, 47884, 118821, 113385, 29295, 101067, 23187, 116216, 61689, 9174, 12, 104102, 118, 108044, 198, 12, 94983, 106036, 95, 198, 12, 107399, 98, 112624, 198, 12, 125389, 59657, 102, 16144, 99046, 224, 31431, 120195, 198, 12, 101678, 33857, 115320, 103882, 198, 12, 104102, 233, 91875, 127242, 198, 12, 220, 58426, 102717, 32149, 198, 126843, 15682, 45736, 104473, 121819, 16144, 113385, 102052, 115514, 108044, 9554, 31634, 63212, 19732, 117501, 9554, 31634, 63212, 29295, 113727, 124195, 61689, 1811, 48915, 37507, 16556, 5486, 104473, 121819, 29295, 126574, 110018, 20230, 36896, 115514, 108044, 123253, 32149, 11571, 103760, 29295, 104473, 121819, 29295, 45736, 117714, 38641, 115204, 19732, 104655, 32149, 104028, 105908, 57903, 33541, 1811, 115514, 108044, 9554, 31634, 63212, 107118, 21990, 123606, 59739, 50834, 16144, 33014, 105284, 16144, 100909, 38641, 1811, 115514, 108044, 9554, 31634, 63212, 29295, 45736, 104473, 121819, 16144, 113385, 16144, 103664, 966, 4, 30512, 108928, 107436, 108086, 5486, 110176, 106759, 20230, 45736, 104473, 121819, 120332, 125001, 104984, 58426, 33334, 45829, 98369, 105352, 45736, 104473, 121819, 107407, 125396, 115991, 33541, 9174, 117501, 9554, 31634, 63212, 107118, 117178, 112624, 5486, 102456, 59657, 102, 16144, 108167, 120195, 110745, 33857, 115320, 103882, 123160, 104654, 108710, 101557, 96, 16144, 100909, 38641, 1811, 115514, 108044, 9554, 31634, 63212, 15682, 105994, 77181, 104721, 58942, 102204, 107515, 29295, 5486, 117501, 31634, 63212, 15682, 105994, 16556, 104721, 105262, 105908, 125545, 6447, 10110, 26854, 107188, 32149, 111108, 102800, 100909, 77181, 57903, 33541, 29295, 23954, 14711, 116422, 107188, 32149, 104473, 121819, 29295, 17297, 29295, 31431, 107515, 198, 45736, 104473, 121819, 16144, 71005, 109519, 77181, 108948, 117434, 30512, 115320, 126559, 103378, 77181, 124563, 107188, 32149, 104473, 121819, 15682, 17297, 29295, 31431, 107515, 115397, 59739, 102052, 33334, 117434, 30512, 83747, 33857, 55031, 27704, 107436, 5486, 119273, 104680, 20230, 115079, 71289, 102800, 47884, 103846, 38641, 1811, 121648, 125030, 76947, 112197, 117434, 16144, 109431, 33857, 15682, 17792, 77693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 104983, 20230, 107734, 80195, 59739, 5486, 19361, 105576, 26854, 108134, 30512, 102404, 22023, 54926, 106592, 30832, 112535, 5486, 23187, 23538, 112535, 51107, 127145, 9174, 77219, 16144, 114363, 103722, 17620, 102212, 15682, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 16144, 118935, 11883, 9458, 105647, 124955, 9458, 126362, 5486, 102832, 20251, 96452, 91062, 103130, 20834, 109713, 60868, 33710, 103906, 94550, 9174, 103927, 108506, 66953, 48552, 121450, 77181, 5486, 102832, 20251, 96452, 91062, 17792, 103234, 114363, 103722, 16144, 126362, 9458, 105647, 124955, 108695, 103306, 5486, 17297, 61304, 16144, 121640, 5486, 29504, 105755, 110008, 104736, 31540, 30512, 16995, 90620, 102532, 108086, 33541, 9174, 679, 22, 8107, 2371, 9953, 104408, 42506, 107430, 101275, 126362, 118482, 110008, 31540, 115181, 220, 1544, 25005, 99, 11972, 13121, 4278, 128001, 128000, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 120732, 40452, 121101, 122474, 30046, 106081, 111186, 16144, 110022, 107624, 124192, 109638, 110895, 16144, 106081, 111186, 101427, 122, 70141, 71289, 61633, 28542, 106116, 103359, 105226, 30512, 123011, 62004, 100934, 124192, 109638, 110895, 16144, 106081, 111186, 15682, 5486, 102717, 109416, 27452, 8107, 121640, 115287, 29295, 5486, 43511, 110895, 107118, 119448, 47884, 108901, 109020, 20834, 104482, 29295, 26854, 103646, 118855, 5486, 111108, 99397, 32977, 5486, 50021, 124500, 121140, 20834, 104482, 116216, 108086, 5486, 101682, 111186, 21990, 15682, 95221, 116825, 105784, 109215, 107407, 9174, 102971, 105242, 55031, 112844, 19732, 5486, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 120732, 40452, 121101, 122474, 30046, 106081, 111186, 30512, 110022, 107624, 112990, 36896, 25963, 110993, 33208, 66383, 13177, 23226, 23187, 30926, 105904, 117503, 25963, 28542, 20230, 43167, 103664, 107001, 5486, 102083, 100472, 111352, 25333, 38641, 9174, 126843, 36896, 25963, 110993, 33208, 10646, 55031, 91774, 100481, 50834, 17129, 109954, 9174, 40452, 121101, 122474, 30046, 15682, 115847, 103296, 16144, 106081, 111186, 72661, 5486, 71493, 114483, 16073, 26854, 109606, 15682, 71493, 114483, 16073, 126529, 119627, 5486, 111108, 102800, 109606, 104856, 104533, 5486, 46034, 32977, 102780, 32977, 20834, 100604, 101427, 122, 70141, 115991, 79721, 9174, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 120732, 106081, 111186, 72661, 5486, 42016, 103826, 16144, 101427, 122, 70141, 29295, 106307, 102532, 108086, 5486, 53900, 108048, 29295, 121200, 31958, 104856, 76947, 61689, 9174, 40265, 109638, 110895, 16144, 103188, 86436, 99397, 15682, 36896, 114565, 966, 8107, 104102, 236, 86436, 99397, 10646, 20230, 123680, 102639, 127280, 29295, 5486, 28713, 19732, 116285, 36896, 972, 99397, 5232, 127178, 75146, 107253, 25333, 31021, 111983, 104195, 109713, 107167, 84477, 118565, 48552, 67178, 16144, 59657, 222, 10646, 71289, 13177, 1187, 99397, 5232, 101987, 104654, 108729, 82420, 55723, 10646, 104309, 15682, 5486, 47406, 103899, 103082, 28713, 101682, 111186, 21990, 15682, 5486, 112073, 43568, 103195, 32149, 106046, 123671, 33541, 9174, 80673, 5486, 61826, 120950, 111108, 99397, 107407, 95543, 28190, 5486, 70821, 25333, 71289, 24775, 17620, 56438, 25333, 5486, 109431, 37656, 33208, 25333, 50667, 16144, 20834, 104482, 15682, 5486, 103350, 20230, 90962, 38248, 121, 45923, 107840, 16556, 5486, 57933, 62903, 71634, 44971, 102832, 114615, 109606, 122416, 16556, 56051, 9174, 565, 114387, 33671, 30537, 16556, 5486, 40265, 109638, 110895, 16144, 22656, 106081, 111186, 15682, 5486, 71493, 114483, 16073, 26854, 109606, 19732, 111108, 102800, 109606, 29295, 103350, 20230, 120222, 103351, 19732, 78244, 58942, 33541, 1811, 12423, 108895, 56051, 101427, 122, 70141, 55031, 112990, 5486, 75146, 17920, 236, 9458, 108729, 44971, 102832, 114615, 109606, 15682, 93056, 110993, 48634, 863, 18655, 30369, 105908, 115847, 103296, 71689, 20230, 5486, 107693, 117084, 61689, 9174, 61826, 43032, 56051, 104466, 5486, 50021, 124500, 121140, 13177, 26892, 53953, 66383, 13177, 109205, 69978, 9458, 23951, 103721, 243, 10646, 15682, 111108, 106624, 38144, 5486, 57933, 62903, 71634, 30512, 127075, 110645, 56051, 20834, 104482, 32977, 117902, 106624, 100604, 103846, 5486, 66224, 21909, 66115, 99397, 71689, 15682, 5486, 28542, 30512, 21388, 61689, 9174, 53900, 5486, 107218, 123, 61304, 16144, 53283, 109375, 16144, 100604, 17792, 102052, 36896, 38093, 82420, 118587, 102936, 19732, 17663, 123253, 55031, 5486, 25963, 99397, 15682, 21388, 28542, 54926, 100909, 115717, 33541, 9174, 85701, 121142, 36896, 78250, 99397, 10646, 60358, 16995, 21388, 28542, 121711, 33541, 9174, 127706, 28542, 29295, 13177, 34617, 44597, 28542, 66383, 124572, 23187, 126693, 5486, 28713, 100472, 13177, 44597, 99397, 10646, 67016, 5486, 56965, 108010, 58942, 102204, 100604, 100909, 115717, 33541, 9174, 13177, 26892, 53953, 10646, 71289, 13177, 109205, 69978, 23951, 103721, 243, 118587, 21418, 76622, 81219, 5486, 20713, 99397, 20713, 99397, 15682, 5486, 126920, 57933, 62903, 71634, 44971, 102832, 114615, 109606, 126529, 38641, 9174, 104405, 120837, 102404, 21990, 54926, 13177, 21388, 28542, 10646, 20230, 104874, 105262, 103846, 36896, 198, 18655, 104028, 109606, 15682, 5486, 115924, 103359, 20230, 102936, 19732, 30813, 100604, 10646, 105908, 5486, 36651, 101275, 127706, 16144, 62903, 102494, 104856, 76947, 61689, 9174, 111108, 102800, 109335, 21105, 103, 47884, 100481, 16995, 105879, 5486, 57933, 62903, 71634, 16144, 102097, 98499, 19732, 103188, 86436, 99397, 102446, 108710, 15682, 5486, 50834, 120240, 31431, 103306, 33334, 47884, 125231, 38641, 9174, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 120732, 106081, 111186, 77181, 36896, 23226, 23187, 30926, 105904, 10646, 29295, 9039, 99397, 20834, 104482, 84389, 79721, 9174, 85701, 29295, 5486, 101682, 111186, 21990, 16144, 102780, 30512, 93056, 107188, 31431, 863, 73686, 42891, 105714, 100472, 104466, 91763, 123671, 33541, 9174, 40452, 121101, 122474, 112919, 127706, 28542, 15682, 5486, 27452, 8107, 36896, 34617, 44597, 28542, 25580, 74482, 118587, 84851, 60634, 109768, 79721, 9174, 80673, 5486, 114565, 34617, 27113, 110895, 10110, 81191, 20713, 66115, 110895, 7705, 77181, 5486, 127706, 28542, 15682, 13177, 34617, 34617, 28542, 66383, 5486, 25963, 120098, 108680, 5486, 103167, 17297, 127145, 1811, 220, 58426, 113385, 15682, 36896, 23226, 23187, 30926, 105904, 117503, 20834, 104482, 20230, 105693, 32149, 106046, 123671, 33541, 1811, 1328, 13177, 123782, 40452, 106045, 103664, 10646, 20230, 36896, 110665, 48634, 108638, 102351, 10646, 71289, 13177, 48915, 34048, 114363, 103722, 46729, 117503, 106045, 23187, 16144, 116155, 10110, 23226, 23187, 7705, 122291, 16144, 119627, 115847, 33503, 23226, 23187, 30926, 105904, 29295, 5486, 71634, 44971, 84477, 117158, 104482, 84389, 79721, 1811, 12423, 51330, 103846, 5486, 23226, 23187, 30926, 105904, 20230, 115514, 118487, 122291, 116537, 5486, 107188, 31431, 107202, 102669, 56051, 116497, 38641, 9174, 23226, 23187, 30926, 105904, 16144, 20834, 104482, 15682, 1981, 111476, 1981, 104309, 115991, 79721, 29295, 5486, 121507, 57942, 95, 16144, 20713, 59739, 103306, 20834, 115926, 5486, 20713, 99397, 113692, 48154, 19732, 103351, 31431, 16556, 5486, 104754, 64889, 107113, 101682, 111186, 21990, 15682, 110745, 50834, 47884, 28542, 30512, 102936, 114267, 116497, 38641, 9174, 51330, 9039, 8107, 15682, 36896, 123782, 40452, 106045, 103664, 10646, 50667, 16144, 23226, 23187, 29295, 104435, 103846, 5486, 23226, 23187, 30512, 57933, 108941, 114267, 109606, 125334, 104482, 84389, 101860, 5486, 59739, 108064, 16995, 5486, 104754, 64889, 107113, 101682, 111186, 21990, 32977, 43240, 102518, 116497, 38641, 9174, 80673, 123213, 110895, 16144, 106081, 111186, 30512, 124140, 64121, 104984, 5486, 40452, 121101, 122474, 30046, 121960, 32977, 36896, 23226, 23187, 30926, 105904, 10646, 71289, 13177, 25333, 23226, 37656, 30926, 105904, 118587, 5486, 30358, 103984, 21105, 103, 16995, 102083, 124324, 109335, 37026, 31958, 38641, 9174, 33334, 33655, 117714, 57933, 62903, 71634, 71289, 103188, 86436, 99397, 16144, 121225, 126328, 106116, 116358, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 30512, 5486, 24317, 50667, 16556, 104908, 103792, 116497, 38641, 9174, 101182, 113314, 5486, 106081, 111186, 53508, 231, 104195, 29295, 103130, 102189, 33503, 108048, 33503, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 30512, 17701, 46034, 39926, 5486, 104257, 121370, 20230, 98499, 64121, 104526, 104127, 33334, 50834, 5486, 83687, 71289, 106045, 23187, 5486, 62903, 25005, 107, 65575, 30512, 5486, 110408, 107290, 33334, 47884, 109215, 115991, 33541, 9174, 22656, 110895, 119775, 5486, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 15682, 5486, 74245, 79059, 16556, 5486, 67016, 32977, 5486, 9039, 99397, 20230, 78183, 28713, 76947, 20834, 104482, 107001, 125396, 115991, 33541, 9174, 61826, 43032, 56051, 104466, 123213, 110895, 15682, 5486, 127706, 28542, 29295, 17297, 29295, 31431, 79721, 9174, 59739, 109709, 5486, 43240, 119064, 101682, 111186, 21990, 29295, 36896, 23226, 23187, 30926, 105904, 10646, 16556, 21388, 28542, 56051, 105908, 84851, 23187, 108608, 113334, 119627, 111476, 565, 85701, 15682, 5486, 116900, 30512, 78244, 116285, 36896, 23226, 23187, 30926, 105904, 10646, 30813, 58942, 57207, 26269, 71493, 37823, 71289, 100472, 101682, 111186, 21990, 15682, 5486, 116511, 104680, 19732, 127706, 56051, 106592, 115552, 78434, 1811, 103350, 105284, 57326, 112718, 25963, 21909, 34617, 28542, 105693, 100909, 108176, 55031, 38641, 1811, 12423, 40452, 121101, 122474, 30046, 72661, 5486, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 15682, 110745, 30926, 38641, 9174, 13177, 198, 23226, 23187, 30926, 105904, 9458, 25333, 23226, 37656, 30926, 105904, 15682, 5486, 59614, 101860, 5486, 116696, 48552, 10646, 29295, 123213, 110895, 55031, 50928, 109115, 102669, 120117, 116787, 33541, 9174, 27347, 64121, 103171, 19732, 122908, 39880, 54926, 198, 88852, 15682, 5486, 108112, 110104, 119526, 109739, 102802, 38641, 1811, 45631, 16995, 47884, 59739, 101182, 32149, 91006, 39276, 16144, 109606, 15682, 5486, 121507, 57942, 95, 16144, 37656, 125144, 30512, 122617, 114146, 100604, 102083, 1131, 106307, 50834, 114447, 198, 51330, 122481, 15682, 5486, 106081, 111186, 37087, 33014, 16144, 110022, 107624, 38641, 1811, 111374, 30832, 103283, 16144, 110022, 107624, 15682, 13177, 117896, 126557, 220, 53900, 36896, 49, 16, 117503, 106081, 111186, 109853, 15682, 36896, 36651, 1131, 106307, 50834, 114447, 198, 51330, 122481, 15682, 36896, 106081, 111186, 70626, 30832, 103283, 117503, 110022, 107624, 38641, 1811, 104626, 99, 111186, 37087, 33014, 16144, 110022, 107624, 15682, 13177, 117896, 126557, 220, 53900, 36896, 49, 16, 117503, 106081, 111186, 109853, 1131, 106307, 50834, 114447, 198, 102971, 105242, 55031, 112844, 19732, 5486, 15682, 100204, 107436, 70821, 25333, 30512, 53508, 231, 104195, 54926, 116537, 115515, 18904, 16144, 13177, 25333, 23226, 37656, 10646, 126699, 112179, 25827, 30512, 5486, 104195, 47884, 37689, 109375, 54926, 109215, 15682, 124897, 1131, 106307, 50834, 114447, 198, 70821, 25333, 23226, 37656, 16144, 117375, 30512, 32977, 85791, 20230, 101682, 105784, 104468, 5486, 25333, 48864, 34048, 124305, 124911, 110162, 5486, 103087, 35083, 106081, 111186, 50667, 16556, 70821, 25333, 30512, 53508, 231, 104195, 56051, 100909, 16144, 101182, 17792, 102083, 100472, 13177, 1131, 106307, 50834, 114447, 128001, 128000, 104473, 121819, 29295, 126574, 102083, 78183, 106824, 33334, 117434, 30512, 115320, 126559, 110115, 5486, 104473, 121819, 29295, 26854, 107188, 32149, 17297, 29295, 31431, 107515, 198, 45736, 104473, 121819, 16144, 117434, 29295, 126120, 50834, 20230, 47884, 16995, 113385, 102052, 67645, 103171, 105908, 113727, 102204, 33541, 32149, 95532, 102083, 100472, 107750, 99397, 114792, 103836, 24273, 16144, 101128, 102, 64121, 30512, 50338, 108323, 78434, 9174, 40265, 107167, 122842, 105352, 121771, 115867, 45736, 104473, 121819, 121648, 29295, 33035, 94923, 116216, 5486, 104654, 108710, 101557, 96, 16144, 23226, 106594, 71289, 45736, 104473, 121819, 113115, 54926, 117434, 53953, 71005, 109519, 30512, 120321, 106307, 126020, 33541, 9174, 51330, 77219, 77181, 45736, 104473, 121819, 16144, 113385, 19732, 33334, 117434, 30512, 16144, 25827, 72661, 26854, 107188, 32149, 104473, 121819, 29295, 17297, 29295, 110104, 107803, 20230, 113727, 110071, 100909, 109853, 50338, 108323, 78434, 9174, 567, 103372, 104473, 121819, 16144, 113385, 198, 45736, 104473, 121819, 102052, 16995, 47884, 118821, 113385, 29295, 101067, 23187, 116216, 61689, 9174, 12, 104102, 118, 108044, 198, 12, 94983, 106036, 95, 198, 12, 107399, 98, 112624, 198, 12, 125389, 59657, 102, 16144, 99046, 224, 31431, 120195, 198, 12, 101678, 33857, 115320, 103882, 198, 12, 104102, 233, 91875, 127242, 198, 12, 220, 58426, 102717, 32149, 198, 126843, 15682, 45736, 104473, 121819, 16144, 113385, 102052, 115514, 108044, 9554, 31634, 63212, 19732, 117501, 9554, 31634, 63212, 29295, 113727, 124195, 61689, 1811, 48915, 37507, 16556, 5486, 104473, 121819, 29295, 126574, 110018, 20230, 36896, 115514, 108044, 123253, 32149, 11571, 103760, 29295, 104473, 121819, 29295, 45736, 117714, 38641, 115204, 19732, 104655, 32149, 104028, 105908, 57903, 33541, 1811, 115514, 108044, 9554, 31634, 63212, 107118, 21990, 123606, 59739, 50834, 16144, 33014, 105284, 16144, 100909, 38641, 1811, 115514, 108044, 9554, 31634, 63212, 29295, 45736, 104473, 121819, 16144, 113385, 16144, 103664, 966, 4, 30512, 108928, 107436, 108086, 5486, 110176, 106759, 20230, 45736, 104473, 121819, 120332, 125001, 104984, 58426, 33334, 45829, 98369, 105352, 45736, 104473, 121819, 107407, 125396, 115991, 33541, 9174, 117501, 9554, 31634, 63212, 107118, 117178, 112624, 5486, 102456, 59657, 102, 16144, 108167, 120195, 110745, 33857, 115320, 103882, 123160, 104654, 108710, 101557, 96, 16144, 100909, 38641, 1811, 115514, 108044, 9554, 31634, 63212, 15682, 105994, 77181, 104721, 58942, 102204, 107515, 29295, 5486, 117501, 31634, 63212, 15682, 105994, 16556, 104721, 105262, 105908, 125545, 6447, 10110, 26854, 107188, 32149, 111108, 102800, 100909, 77181, 57903, 33541, 29295, 23954, 14711, 116422, 107188, 32149, 104473, 121819, 29295, 17297, 29295, 31431, 107515, 198, 45736, 104473, 121819, 16144, 71005, 109519, 77181, 108948, 117434, 30512, 115320, 126559, 103378, 77181, 124563, 107188, 32149, 104473, 121819, 15682, 17297, 29295, 31431, 107515, 115397, 59739, 102052, 33334, 117434, 30512, 83747, 33857, 55031, 27704, 107436, 5486, 119273, 104680, 20230, 115079, 71289, 102800, 47884, 103846, 38641, 1811, 121648, 125030, 76947, 112197, 117434, 16144, 109431, 33857, 15682, 17792, 77693 ]
[ 108422, 33121, 38641, 1811, 119273, 104680, 20230, 104473, 121819, 30512, 17297, 102639, 38144, 111006, 30512, 101557, 96, 33503, 109768, 47884, 115789, 27384, 102769, 38641, 9174, 108031, 15120, 59739, 102052, 117501, 31634, 63212, 29295, 50338, 104662, 84389, 126386, 105908, 113385, 103195, 125396, 115991, 33541, 1811, 104654, 108710, 101557, 96, 16144, 21043, 37656, 15682, 19732, 111243, 27384, 102769, 38641, 1811, 104654, 117501, 29295, 108267, 103468, 121894, 16556, 33334, 117434, 30512, 115320, 25827, 72661, 8239, 114503, 15682, 102404, 127327, 21105, 98, 110706, 16144, 38641, 1811, 45736, 104473, 121819, 19732, 120761, 64889, 103646, 126101, 48154, 116907, 16144, 104654, 108710, 101557, 96, 30512, 123927, 104196, 30369, 109335, 32335, 32977, 26854, 100909, 112028, 59739, 38641, 9174, 567, 106369, 117434, 30512, 16144, 25827, 72661, 104473, 121819, 29295, 17297, 29295, 110104, 41920, 33671, 34171, 45736, 104473, 121819, 198, 45736, 104473, 121819, 19732, 120761, 64889, 116216, 5486, 114485, 59657, 102, 71289, 117178, 112624, 50338, 33420, 5486, 117401, 104309, 104654, 108710, 101557, 96, 30512, 23226, 106594, 56051, 31431, 5486, 117434, 30512, 16144, 102189, 31431, 120837, 5486, 104473, 121819, 29295, 17297, 29295, 110104, 126101, 107750, 126832, 112973, 41920, 33671, 34171, 45736, 104473, 121819, 38641, 1811, 41920, 33671, 34171, 45736, 104473, 121819, 107118, 117119, 33503, 116421, 103429, 95221, 113468, 125119, 30369, 45736, 104473, 121819, 16144, 106592, 16995, 61689, 1811, 41920, 33671, 34171, 45736, 104473, 121819, 77181, 5486, 113385, 117282, 103429, 116499, 120761, 64889, 116216, 71005, 109519, 112990, 104473, 121819, 29295, 17297, 29295, 31431, 33541, 1811, 118104, 45736, 104473, 121819, 111694, 112919, 605, 17792, 20230, 122485, 120264, 29295, 41920, 33671, 34171, 45736, 104473, 121819, 19732, 117952, 106824, 108086, 33541, 9174, 36668, 26854, 113385, 15682, 113136, 120379, 39177, 43568, 105324, 107246, 111571, 103550, 104336, 5486, 101921, 236, 26274, 241, 103429, 5486, 32943, 17620, 14888, 234, 116436, 111694, 5486, 117434, 21403, 97, 16144, 106966, 113266, 104309, 115991, 33541, 1811, 66378, 20230, 113136, 120379, 39177, 43568, 105324, 107246, 111571, 103550, 104336, 15682, 71005, 109519, 120837, 17297, 29295, 110104, 45736, 104473, 121819, 16144, 121648, 115867, 966, 4, 71689, 30512, 108928, 62004, 104533, 116216, 61689, 1811, 18, 21403, 97, 5486, 19, 21403, 97, 19732, 109242, 9039, 16144, 117434, 21403, 97, 30512, 21105, 103, 118145, 104473, 121819, 29295, 115442, 76947, 114732, 107803, 71289, 105268, 16995, 110115, 104473, 121819, 29295, 126574, 107803, 104309, 102052, 41920, 33671, 34171, 45736, 104473, 121819, 29295, 107750, 123671, 33541, 9174, 567, 220, 123011, 62004, 198, 12, 103372, 104473, 121819, 102052, 115514, 108044, 109904, 109606, 19732, 117501, 9554, 31634, 63212, 115991, 33541, 1811, 117501, 9554, 31634, 63212, 15682, 105994, 16556, 126738, 17663, 105908, 125545, 1811, 104473, 121819, 16144, 71005, 109519, 77181, 117501, 31634, 63212, 16144, 23226, 106594, 29295, 107693, 38641, 122262, 117434, 103378, 77181, 26854, 107188, 32149, 104473, 121819, 29295, 17297, 29295, 110104, 105908, 57903, 33541, 9174, 12, 59363, 76706, 108710, 101557, 96, 30512, 126738, 39926, 104473, 121819, 112197, 117434, 30512, 115320, 25827, 72661, 26854, 107188, 32149, 104473, 121819, 29295, 17297, 29295, 112586, 47884, 16995, 107803, 102052, 41920, 33671, 34171, 45736, 104473, 121819, 29295, 107750, 123671, 33541, 9174, 104473, 121819, 29295, 126574, 102083, 125167, 107803, 102052, 126843, 15682, 48154, 115364, 104654, 108710, 101557, 96, 104088, 74245, 39926, 64121, 38144, 72315, 1811, 114284, 40265, 28713, 30369, 105908, 30591, 104984, 126843, 15682, 104654, 108710, 101557, 96, 30512, 126738, 17663, 105908, 27384, 102769, 38641, 1811, 128001, 128000, 2366, 16, 8107, 16, 9953, 806, 9080, 198, 13177, 118899, 5486, 15682, 28713, 108056, 105465, 21105, 251, 30297, 113461, 123794, 115204, 19732, 5486, 32149, 112371, 16144, 11972, 19732, 104817, 43167, 34048, 16144, 125436, 17597, 111, 98369, 55031, 104655, 102532, 115515, 18904, 124773, 91482, 109496, 123410, 100909, 110276, 111555, 101129, 7, 15682, 28713, 108056, 8, 1811, 117355, 103932, 111338, 101778, 34048, 31809, 104575, 55031, 105647, 124955, 103306, 17, 8107, 102677, 117232, 30512, 32977, 43514, 104346, 104087, 48864, 104674, 20230, 113909, 76171, 56051, 103031, 29295, 110371, 24, 113746, 16556, 99849, 30512, 112391, 5486, 113727, 115515, 30512, 103188, 48154, 103792, 104865, 1811, 100204, 121710, 31431, 87177, 30512, 104655, 102532, 64121, 79721, 97999, 104817, 43167, 34048, 9458, 46091, 113663, 340, 9, 100978, 108295, 28713, 108056, 15682, 5486, 117355, 103932, 111338, 101778, 34048, 31809, 104575, 55031, 105647, 124955, 116216, 50834, 100934, 102189, 123794, 1811, 5736, 102131, 38641, 1811, 101778, 34048, 31809, 16144, 101467, 101544, 105408, 20230, 36896, 102465, 58911, 105408, 7, 33121, 118544, 98369, 8, 29295, 61786, 34048, 31809, 55031, 104346, 104087, 20230, 50834, 100934, 16144, 19732, 112361, 105933, 87177, 107407, 102189, 107493, 104405, 91006, 76947, 71174, 119707, 107441, 32977, 33503, 76947, 41920, 59739, 104196, 30926, 16556, 118133, 124730, 78434, 66383, 9174, 102677, 123017, 5486, 101778, 34048, 31809, 104575, 76947, 110904, 104297, 16144, 102208, 48864, 8107, 15120, 107059, 22398, 101860, 59739, 67016, 100604, 104575, 16556, 5486, 108901, 48864, 116358, 113841, 102677, 28190, 77181, 5486, 104346, 104087, 48864, 104674, 19732, 50021, 34171, 114652, 89046, 120988, 39926, 102473, 108608, 16144, 111769, 107188, 106046, 76947, 28713, 116233, 1811, 109860, 5486, 101467, 101544, 105408, 102052, 101860, 104043, 78244, 106358, 116233, 57980, 66327, 110241, 101778, 34048, 105352, 87177, 29295, 105898, 33503, 5486, 112371, 104328, 112418, 120650, 32149, 127397, 72315, 76864, 76947, 9174, 9, 100978, 42579, 253, 104983, 5486, 104346, 104087, 50834, 38144, 64121, 38144, 104405, 112130, 11571, 5736, 87177, 30512, 16995, 90620, 102334, 112973, 2366, 15, 116358, 18, 9953, 16556, 5486, 87447, 101467, 25580, 104603, 37823, 104603, 37823, 102677, 110229, 77181, 105693, 116233, 107493, 5486, 104346, 104087, 20230, 37507, 104028, 19732, 104662, 117864, 39177, 15682, 111179, 50834, 102780, 80195, 76947, 79721, 101832, 109900, 127105, 22656, 107809, 16556, 53283, 106358, 105933, 17792, 105459, 29295, 103350, 104983, 20230, 107991, 102321, 75267, 16556, 126419, 20230, 122502, 105784, 114016, 91763, 107462, 104435, 105879, 1811, 120065, 104622, 104087, 99750, 110034, 38641, 107493, 5486, 105994, 17663, 48154, 16995, 110229, 20230, 37507, 103468, 108422, 76947, 9174, 48915, 124911, 105459, 114556, 39926, 15682, 102131, 95604, 104346, 126365, 15308, 226, 30512, 105714, 104028, 116233, 107493, 5486, 104346, 104087, 107809, 77181, 40198, 237, 33121, 127181, 120208, 32977, 57903, 79721, 107751, 16144, 105408, 127282, 118935, 11883, 102677, 106826, 103830, 30512, 119870, 104127, 5486, 102647, 81219, 106824, 50834, 127280, 107493, 5486, 112418, 15682, 110219, 20230, 118935, 11883, 101682, 107441, 127567, 33334, 27929, 124749, 101682, 32149, 107462, 100604, 119150, 116233, 1811, 72099, 55031, 105647, 124955, 102677, 108167, 103214, 64121, 122291, 55031, 110382, 20230, 48706, 103082, 100934, 1811, 109860, 5486, 8239, 96, 50667, 99750, 32977, 17663, 48154, 47884, 57903, 79721, 101832, 125939, 32977, 43240, 32149, 33121, 83747, 26854, 32149, 33121, 101182, 116233, 107493, 9174, 42016, 112425, 124911, 105459, 91774, 38144, 111243, 114318, 42891, 120816, 15682, 32149, 75694, 22957, 15024, 101198, 117675, 94550, 30512, 73686, 42891, 105714, 76947, 115926, 39926, 108149, 16144, 16937, 23602, 230, 16144, 113116, 15682, 26854, 103171, 102189, 85791, 106046, 100472, 31431, 32977, 54926, 15024, 5486, 98369, 36785, 11972, 32977, 17663, 48154, 47884, 124131, 84477, 105321, 38641, 123794, 1811, 89648, 7, 105335, 26269, 52591, 29295, 38129, 103792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 119495, 64178, 8, 110162, 122333, 20230, 89753, 106824, 109749, 108134, 107809, 72661, 108056, 19732, 13177, 77693, 104712, 125651, 76864, 110162, 39880, 122131, 39926, 5486, 105994, 55031, 117876, 30512, 26955, 122, 107462, 47884, 9174, 104346, 104087, 15682, 101467, 102781, 17620, 114666, 102677, 112973, 15682, 121381, 31431, 104662, 17129, 107462, 100604, 105879, 117119, 32149, 17039, 106624, 59739, 47884, 103950, 123334, 76947, 64121, 101200, 102677, 102944, 125334, 28713, 126101, 119568, 33503, 15682, 13177, 105464, 109134, 57980, 66383, 112909, 122765, 30369, 116233, 57980, 1811, 72661, 5486, 112418, 15682, 122765, 102204, 103470, 38144, 1811, 105994, 16556, 117876, 30512, 18655, 107462, 47884, 102677, 100909, 105352, 101557, 96, 33121, 100481, 104435, 15024, 5486, 112909, 122765, 30369, 112442, 95221, 126758, 15024, 5486, 112909, 122765, 111243, 71289, 31431, 102769, 30369, 37026, 22023, 32977, 104435, 1811, 102131, 95604, 110229, 16556, 8239, 96, 50667, 99750, 71289, 5486, 110382, 16556, 112418, 15682, 99849, 29295, 108608, 102189, 103950, 120953, 119607, 107188, 102677, 95221, 69978, 86614, 37656, 74245, 57903, 79721, 9174, 9, 100978, 220, 104446, 30591, 5486, 102971, 106391, 107202, 67016, 100472, 104865, 26854, 1811, 5736, 30297, 11972, 25827, 115515, 23226, 107436, 123927, 104196, 104533, 5486, 107202, 102800, 102677, 110229, 20230, 16995, 47884, 112772, 125456, 54926, 106592, 19732, 107436, 103801, 106358, 107188, 106046, 61689, 9174, 30591, 19732, 5486, 108134, 33857, 32977, 127181, 15024, 123334, 103950, 119150, 100909, 71289, 5486, 109134, 125231, 105908, 126920, 121771, 98369, 101182, 116233, 123794, 1811, 57933, 108941, 107420, 109531, 110548, 16144, 115789, 5486, 29504, 102158, 16144, 115789, 5486, 105509, 16144, 106592, 78698, 105262, 52884, 93488, 78459, 20230, 125151, 107113, 105879, 58426, 115789, 5486, 86348, 59739, 47884, 107462, 32149, 103470, 104702, 16995, 124324, 109900, 108422, 33121, 113115, 39926, 101198, 117675, 94550, 32977, 101182, 105879, 112160, 59739, 101198, 117675, 94550, 29295, 105721, 78183, 104533, 5486, 53900, 114225, 103283, 16144, 101198, 117675, 94550, 107407, 9174, 13177, 51330, 100909, 80988, 239, 105714, 33503, 26854, 50834, 101668, 26854, 66383, 91763, 30297, 102189, 107493, 106116, 110674, 33671, 16144, 101198, 117675, 94550, 17701, 76947, 5486, 33671, 16144, 101198, 117675, 94550, 17701, 104533, 110901, 30591, 5486, 28713, 67016, 20230, 58426, 115789, 21105, 96, 107277, 71289, 33503, 103470, 104702, 10646, 76947, 5486, 16175, 119, 102769, 33121, 19732, 25827, 109416, 127303, 108005, 115, 30591, 108005, 115, 101983, 42891, 104702, 76947, 1811, 109860, 107202, 106624, 15682, 104435, 107493, 112160, 121022, 113727, 100604, 115226, 26854, 5486, 107943, 121894, 101983, 42891, 104702, 107462, 79721, 101832, 9174, 72661, 5486, 48864, 126559, 99750, 112854, 15682, 17663, 48154, 47884, 30591, 76947, 118844, 103296, 112418, 29295, 35417, 80195, 16556, 71289, 106358, 105908, 16995, 111201, 21405, 28190, 16556, 125338, 28713, 104865, 110162, 5486, 116900, 20230, 35417, 80195, 15682, 108895, 95604, 103424, 30813, 107407, 26854, 110162, 1811, 26854, 105879, 5486, 37087, 47884, 103130, 104127, 16995, 100604, 102677, 99750, 112854, 111769, 116233, 107493, 5486, 107734, 80195, 103836, 102677, 99750, 112854, 102677, 105755, 15682, 48864, 81219, 72342, 111243, 33503, 113017, 5486, 107246, 110226, 107726, 111243, 33503, 103836, 115226, 26854, 121906, 95604, 120208, 29295, 104195, 102518, 107188, 9174, 9, 100978, 66297, 117, 80195, 103836, 32149, 104405, 32149, 15682, 50834, 104043, 41642, 111331, 116537, 95221, 20230, 109768, 104435, 119150, 102189, 107493, 5486, 72661, 15682, 28713, 108056, 107809, 77181, 121906, 95604, 120208, 122291, 116233, 101832, 1811, 5736, 102131, 125651, 1811, 19361, 11883, 99750, 29295, 50928, 124195, 104435, 105879, 5486, 105005, 104736, 103646, 16995, 102677, 111654, 29295, 112418, 107809, 102052, 57903, 79721, 1811, 16556, 5486, 104446, 30591, 99849, 29295, 108608, 108995, 76947, 78698, 107800, 110229, 5486, 121995, 30512, 110240, 47884, 112973, 50928, 37689, 26854, 105879, 110924, 16556, 127091, 118765, 107188, 19732, 109900, 127105, 126920, 102508, 223, 30512, 32977, 17663, 29295, 30369, 102677, 32149, 5486, 114715, 72661, 17663, 48154, 16995, 101832, 76947, 119852, 102717, 106624, 38144, 5486, 110240, 50834, 118158, 105933, 116499, 78434, 9174, 9, 100978, 108295, 28713, 108056, 16144, 25197, 32131, 71634, 5486, 104346, 104087, 16144, 16995, 85791, 103171, 110229, 16556, 30832, 20230, 78434, 123794, 1811, 5736, 50834, 42891, 126929, 15682, 5486, 113164, 103857, 29295, 122396, 116233, 1811, 105140, 105677, 64121, 31958, 76622, 20230, 105335, 26269, 52591, 122485, 115303, 31431, 30512, 52884, 93488, 78459, 20230, 39880, 60868, 76171, 54926, 115226, 26854, 39177, 29295, 30591, 76947, 106116, 126101, 13177, 52884, 93488, 78459, 104088, 105262, 33208, 54926, 66383, 95604, 110229, 20230, 39880, 60868, 76171, 39926, 122396, 116233, 123794, 1811, 102971, 91077, 5486, 52884, 93488, 78459, 16144, 91774, 105262, 33208, 15682, 30297, 17129, 47884, 103082, 104435, 116233, 107493, 5486, 72661, 110924, 55031, 91774, 105262, 33208, 108608, 102944, 29295, 30591, 104984, 91774, 105262, 33208, 119607, 76947, 9174, 9, 100978, 106198, 233, 105262, 33208, 5486, 30512, 109768, 47884, 1811, 5736, 28713, 67016, 119869, 20230, 56051, 104468, 5486, 105509, 16144, 52884, 93488, 78459, 16144, 123927, 104196, 31431, 103351, 106046, 61689, 1811, 104346, 104087, 77181, 100204, 107436, 16144, 111098, 111108, 120117, 115541, 126198, 30591, 19732, 20230, 16995, 85791, 16995, 85791, 19732, 111681, 104482, 125334, 28713, 116233, 107493, 108048, 29295, 47000, 23964, 233, 16556, 110590, 104043, 20834, 38144, 28713, 55031, 5486, 64121, 103171, 126365, 111243, 110706, 126172, 16995, 104466, 119607, 19732, 5486, 47000, 23964, 233, 16144, 44915, 30512, 111134, 106384, 48552, 20230, 121256, 9174, 102131, 127564, 5486, 102971, 106391, 16995, 85791, 103171, 105335, 26269, 52591, 29295, 71174, 119707, 107441, 122396, 116233, 57980, 1811, 64121, 102717, 117940, 36896, 45923, 123283, 73590, 16556, 108134, 29295, 50834, 111243, 98499, 104004, 95221, 101983, 110615, 107493, 108149, 30591, 95604, 104346, 117084, 104533, 91774, 38144, 64121, 101200, 107188, 102677, 120208, 108176, 15024, 108048, 29295, 50834, 42891, 126929, 16556, 45923, 123283, 73590, 16144, 50520, 111, 102800, 110229, 32977, 91774, 38144, 64121, 101200, 106046, 107800, 57980, 66383, 119852, 47884, 106824, 109900, 29295, 115003, 231, 67016, 100472, 125651, 1811, 110924, 55031, 43568, 37689, 109375, 126365, 105262, 33208, 108608, 102944, 30512, 106767, 17663, 101200, 101983, 107462, 50834, 79721, 9174, 30591, 19732, 5486, 105994, 107809, 16556, 119448, 102518, 104468, 5486, 66136, 25333, 117158, 38093, 100472, 100909, 107188, 9174, 9, 100978, 78624, 25333, 11571, 5736, 66136, 76947, 95604, 104468, 5486, 112810, 122373, 104157 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 108422, 33121, 38641, 1811, 119273, 104680, 20230, 104473, 121819, 30512, 17297, 102639, 38144, 111006, 30512, 101557, 96, 33503, 109768, 47884, 115789, 27384, 102769, 38641, 9174, 108031, 15120, 59739, 102052, 117501, 31634, 63212, 29295, 50338, 104662, 84389, 126386, 105908, 113385, 103195, 125396, 115991, 33541, 1811, 104654, 108710, 101557, 96, 16144, 21043, 37656, 15682, 19732, 111243, 27384, 102769, 38641, 1811, 104654, 117501, 29295, 108267, 103468, 121894, 16556, 33334, 117434, 30512, 115320, 25827, 72661, 8239, 114503, 15682, 102404, 127327, 21105, 98, 110706, 16144, 38641, 1811, 45736, 104473, 121819, 19732, 120761, 64889, 103646, 126101, 48154, 116907, 16144, 104654, 108710, 101557, 96, 30512, 123927, 104196, 30369, 109335, 32335, 32977, 26854, 100909, 112028, 59739, 38641, 9174, 567, 106369, 117434, 30512, 16144, 25827, 72661, 104473, 121819, 29295, 17297, 29295, 110104, 41920, 33671, 34171, 45736, 104473, 121819, 198, 45736, 104473, 121819, 19732, 120761, 64889, 116216, 5486, 114485, 59657, 102, 71289, 117178, 112624, 50338, 33420, 5486, 117401, 104309, 104654, 108710, 101557, 96, 30512, 23226, 106594, 56051, 31431, 5486, 117434, 30512, 16144, 102189, 31431, 120837, 5486, 104473, 121819, 29295, 17297, 29295, 110104, 126101, 107750, 126832, 112973, 41920, 33671, 34171, 45736, 104473, 121819, 38641, 1811, 41920, 33671, 34171, 45736, 104473, 121819, 107118, 117119, 33503, 116421, 103429, 95221, 113468, 125119, 30369, 45736, 104473, 121819, 16144, 106592, 16995, 61689, 1811, 41920, 33671, 34171, 45736, 104473, 121819, 77181, 5486, 113385, 117282, 103429, 116499, 120761, 64889, 116216, 71005, 109519, 112990, 104473, 121819, 29295, 17297, 29295, 31431, 33541, 1811, 118104, 45736, 104473, 121819, 111694, 112919, 605, 17792, 20230, 122485, 120264, 29295, 41920, 33671, 34171, 45736, 104473, 121819, 19732, 117952, 106824, 108086, 33541, 9174, 36668, 26854, 113385, 15682, 113136, 120379, 39177, 43568, 105324, 107246, 111571, 103550, 104336, 5486, 101921, 236, 26274, 241, 103429, 5486, 32943, 17620, 14888, 234, 116436, 111694, 5486, 117434, 21403, 97, 16144, 106966, 113266, 104309, 115991, 33541, 1811, 66378, 20230, 113136, 120379, 39177, 43568, 105324, 107246, 111571, 103550, 104336, 15682, 71005, 109519, 120837, 17297, 29295, 110104, 45736, 104473, 121819, 16144, 121648, 115867, 966, 4, 71689, 30512, 108928, 62004, 104533, 116216, 61689, 1811, 18, 21403, 97, 5486, 19, 21403, 97, 19732, 109242, 9039, 16144, 117434, 21403, 97, 30512, 21105, 103, 118145, 104473, 121819, 29295, 115442, 76947, 114732, 107803, 71289, 105268, 16995, 110115, 104473, 121819, 29295, 126574, 107803, 104309, 102052, 41920, 33671, 34171, 45736, 104473, 121819, 29295, 107750, 123671, 33541, 9174, 567, 220, 123011, 62004, 198, 12, 103372, 104473, 121819, 102052, 115514, 108044, 109904, 109606, 19732, 117501, 9554, 31634, 63212, 115991, 33541, 1811, 117501, 9554, 31634, 63212, 15682, 105994, 16556, 126738, 17663, 105908, 125545, 1811, 104473, 121819, 16144, 71005, 109519, 77181, 117501, 31634, 63212, 16144, 23226, 106594, 29295, 107693, 38641, 122262, 117434, 103378, 77181, 26854, 107188, 32149, 104473, 121819, 29295, 17297, 29295, 110104, 105908, 57903, 33541, 9174, 12, 59363, 76706, 108710, 101557, 96, 30512, 126738, 39926, 104473, 121819, 112197, 117434, 30512, 115320, 25827, 72661, 26854, 107188, 32149, 104473, 121819, 29295, 17297, 29295, 112586, 47884, 16995, 107803, 102052, 41920, 33671, 34171, 45736, 104473, 121819, 29295, 107750, 123671, 33541, 9174, 104473, 121819, 29295, 126574, 102083, 125167, 107803, 102052, 126843, 15682, 48154, 115364, 104654, 108710, 101557, 96, 104088, 74245, 39926, 64121, 38144, 72315, 1811, 114284, 40265, 28713, 30369, 105908, 30591, 104984, 126843, 15682, 104654, 108710, 101557, 96, 30512, 126738, 17663, 105908, 27384, 102769, 38641, 1811, 128001, 128000, 2366, 16, 8107, 16, 9953, 806, 9080, 198, 13177, 118899, 5486, 15682, 28713, 108056, 105465, 21105, 251, 30297, 113461, 123794, 115204, 19732, 5486, 32149, 112371, 16144, 11972, 19732, 104817, 43167, 34048, 16144, 125436, 17597, 111, 98369, 55031, 104655, 102532, 115515, 18904, 124773, 91482, 109496, 123410, 100909, 110276, 111555, 101129, 7, 15682, 28713, 108056, 8, 1811, 117355, 103932, 111338, 101778, 34048, 31809, 104575, 55031, 105647, 124955, 103306, 17, 8107, 102677, 117232, 30512, 32977, 43514, 104346, 104087, 48864, 104674, 20230, 113909, 76171, 56051, 103031, 29295, 110371, 24, 113746, 16556, 99849, 30512, 112391, 5486, 113727, 115515, 30512, 103188, 48154, 103792, 104865, 1811, 100204, 121710, 31431, 87177, 30512, 104655, 102532, 64121, 79721, 97999, 104817, 43167, 34048, 9458, 46091, 113663, 340, 9, 100978, 108295, 28713, 108056, 15682, 5486, 117355, 103932, 111338, 101778, 34048, 31809, 104575, 55031, 105647, 124955, 116216, 50834, 100934, 102189, 123794, 1811, 5736, 102131, 38641, 1811, 101778, 34048, 31809, 16144, 101467, 101544, 105408, 20230, 36896, 102465, 58911, 105408, 7, 33121, 118544, 98369, 8, 29295, 61786, 34048, 31809, 55031, 104346, 104087, 20230, 50834, 100934, 16144, 19732, 112361, 105933, 87177, 107407, 102189, 107493, 104405, 91006, 76947, 71174, 119707, 107441, 32977, 33503, 76947, 41920, 59739, 104196, 30926, 16556, 118133, 124730, 78434, 66383, 9174, 102677, 123017, 5486, 101778, 34048, 31809, 104575, 76947, 110904, 104297, 16144, 102208, 48864, 8107, 15120, 107059, 22398, 101860, 59739, 67016, 100604, 104575, 16556, 5486, 108901, 48864, 116358, 113841, 102677, 28190, 77181, 5486, 104346, 104087, 48864, 104674, 19732, 50021, 34171, 114652, 89046, 120988, 39926, 102473, 108608, 16144, 111769, 107188, 106046, 76947, 28713, 116233, 1811, 109860, 5486, 101467, 101544, 105408, 102052, 101860, 104043, 78244, 106358, 116233, 57980, 66327, 110241, 101778, 34048, 105352, 87177, 29295, 105898, 33503, 5486, 112371, 104328, 112418, 120650, 32149, 127397, 72315, 76864, 76947, 9174, 9, 100978, 42579, 253, 104983, 5486, 104346, 104087, 50834, 38144, 64121, 38144, 104405, 112130, 11571, 5736, 87177, 30512, 16995, 90620, 102334, 112973, 2366, 15, 116358, 18, 9953, 16556, 5486, 87447, 101467, 25580, 104603, 37823, 104603, 37823, 102677, 110229, 77181, 105693, 116233, 107493, 5486, 104346, 104087, 20230, 37507, 104028, 19732, 104662, 117864, 39177, 15682, 111179, 50834, 102780, 80195, 76947, 79721, 101832, 109900, 127105, 22656, 107809, 16556, 53283, 106358, 105933, 17792, 105459, 29295, 103350, 104983, 20230, 107991, 102321, 75267, 16556, 126419, 20230, 122502, 105784, 114016, 91763, 107462, 104435, 105879, 1811, 120065, 104622, 104087, 99750, 110034, 38641, 107493, 5486, 105994, 17663, 48154, 16995, 110229, 20230, 37507, 103468, 108422, 76947, 9174, 48915, 124911, 105459, 114556, 39926, 15682, 102131, 95604, 104346, 126365, 15308, 226, 30512, 105714, 104028, 116233, 107493, 5486, 104346, 104087, 107809, 77181, 40198, 237, 33121, 127181, 120208, 32977, 57903, 79721, 107751, 16144, 105408, 127282, 118935, 11883, 102677, 106826, 103830, 30512, 119870, 104127, 5486, 102647, 81219, 106824, 50834, 127280, 107493, 5486, 112418, 15682, 110219, 20230, 118935, 11883, 101682, 107441, 127567, 33334, 27929, 124749, 101682, 32149, 107462, 100604, 119150, 116233, 1811, 72099, 55031, 105647, 124955, 102677, 108167, 103214, 64121, 122291, 55031, 110382, 20230, 48706, 103082, 100934, 1811, 109860, 5486, 8239, 96, 50667, 99750, 32977, 17663, 48154, 47884, 57903, 79721, 101832, 125939, 32977, 43240, 32149, 33121, 83747, 26854, 32149, 33121, 101182, 116233, 107493, 9174, 42016, 112425, 124911, 105459, 91774, 38144, 111243, 114318, 42891, 120816, 15682, 32149, 75694, 22957, 15024, 101198, 117675, 94550, 30512, 73686, 42891, 105714, 76947, 115926, 39926, 108149, 16144, 16937, 23602, 230, 16144, 113116, 15682, 26854, 103171, 102189, 85791, 106046, 100472, 31431, 32977, 54926, 15024, 5486, 98369, 36785, 11972, 32977, 17663, 48154, 47884, 124131, 84477, 105321, 38641, 123794, 1811, 89648, 7, 105335, 26269, 52591, 29295, 38129, 103792, 47260, 119263, 78683, 102663, 38248, 115, 78205, 119495, 64178, 8, 110162, 122333, 20230, 89753, 106824, 109749, 108134, 107809, 72661, 108056, 19732, 13177, 77693, 104712, 125651, 76864, 110162, 39880, 122131, 39926, 5486, 105994, 55031, 117876, 30512, 26955, 122, 107462, 47884, 9174, 104346, 104087, 15682, 101467, 102781, 17620, 114666, 102677, 112973, 15682, 121381, 31431, 104662, 17129, 107462, 100604, 105879, 117119, 32149, 17039, 106624, 59739, 47884, 103950, 123334, 76947, 64121, 101200, 102677, 102944, 125334, 28713, 126101, 119568, 33503, 15682, 13177, 105464, 109134, 57980, 66383, 112909, 122765, 30369, 116233, 57980, 1811, 72661, 5486, 112418, 15682, 122765, 102204, 103470, 38144, 1811, 105994, 16556, 117876, 30512, 18655, 107462, 47884, 102677, 100909, 105352, 101557, 96, 33121, 100481, 104435, 15024, 5486, 112909, 122765, 30369, 112442, 95221, 126758, 15024, 5486, 112909, 122765, 111243, 71289, 31431, 102769, 30369, 37026, 22023, 32977, 104435, 1811, 102131, 95604, 110229, 16556, 8239, 96, 50667, 99750, 71289, 5486, 110382, 16556, 112418, 15682, 99849, 29295, 108608, 102189, 103950, 120953, 119607, 107188, 102677, 95221, 69978, 86614, 37656, 74245, 57903, 79721, 9174, 9, 100978, 220, 104446, 30591, 5486, 102971, 106391, 107202, 67016, 100472, 104865, 26854, 1811, 5736, 30297, 11972, 25827, 115515, 23226, 107436, 123927, 104196, 104533, 5486, 107202, 102800, 102677, 110229, 20230, 16995, 47884, 112772, 125456, 54926, 106592, 19732, 107436, 103801, 106358, 107188, 106046, 61689, 9174, 30591, 19732, 5486, 108134, 33857, 32977, 127181, 15024, 123334, 103950, 119150, 100909, 71289, 5486, 109134, 125231, 105908, 126920, 121771, 98369, 101182, 116233, 123794, 1811, 57933, 108941, 107420, 109531, 110548, 16144, 115789, 5486, 29504, 102158, 16144, 115789, 5486, 105509, 16144, 106592, 78698, 105262, 52884, 93488, 78459, 20230, 125151, 107113, 105879, 58426, 115789, 5486, 86348, 59739, 47884, 107462, 32149, 103470, 104702, 16995, 124324, 109900, 108422, 33121, 113115, 39926, 101198, 117675, 94550, 32977, 101182, 105879, 112160, 59739, 101198, 117675, 94550, 29295, 105721, 78183, 104533, 5486, 53900, 114225, 103283, 16144, 101198, 117675, 94550, 107407, 9174, 13177, 51330, 100909, 80988, 239, 105714, 33503, 26854, 50834, 101668, 26854, 66383, 91763, 30297, 102189, 107493, 106116, 110674, 33671, 16144, 101198, 117675, 94550, 17701, 76947, 5486, 33671, 16144, 101198, 117675, 94550, 17701, 104533, 110901, 30591, 5486, 28713, 67016, 20230, 58426, 115789, 21105, 96, 107277, 71289, 33503, 103470, 104702, 10646, 76947, 5486, 16175, 119, 102769, 33121, 19732, 25827, 109416, 127303, 108005, 115, 30591, 108005, 115, 101983, 42891, 104702, 76947, 1811, 109860, 107202, 106624, 15682, 104435, 107493, 112160, 121022, 113727, 100604, 115226, 26854, 5486, 107943, 121894, 101983, 42891, 104702, 107462, 79721, 101832, 9174, 72661, 5486, 48864, 126559, 99750, 112854, 15682, 17663, 48154, 47884, 30591, 76947, 118844, 103296, 112418, 29295, 35417, 80195, 16556, 71289, 106358, 105908, 16995, 111201, 21405, 28190, 16556, 125338, 28713, 104865, 110162, 5486, 116900, 20230, 35417, 80195, 15682, 108895, 95604, 103424, 30813, 107407, 26854, 110162, 1811, 26854, 105879, 5486, 37087, 47884, 103130, 104127, 16995, 100604, 102677, 99750, 112854, 111769, 116233, 107493, 5486, 107734, 80195, 103836, 102677, 99750, 112854, 102677, 105755, 15682, 48864, 81219, 72342, 111243, 33503, 113017, 5486, 107246, 110226, 107726, 111243, 33503, 103836, 115226, 26854, 121906, 95604, 120208, 29295, 104195, 102518, 107188, 9174, 9, 100978, 66297, 117, 80195, 103836, 32149, 104405, 32149, 15682, 50834, 104043, 41642, 111331, 116537, 95221, 20230, 109768, 104435, 119150, 102189, 107493, 5486, 72661, 15682, 28713, 108056, 107809, 77181, 121906, 95604, 120208, 122291, 116233, 101832, 1811, 5736, 102131, 125651, 1811, 19361, 11883, 99750, 29295, 50928, 124195, 104435, 105879, 5486, 105005, 104736, 103646, 16995, 102677, 111654, 29295, 112418, 107809, 102052, 57903, 79721, 1811, 16556, 5486, 104446, 30591, 99849, 29295, 108608, 108995, 76947, 78698, 107800, 110229, 5486, 121995, 30512, 110240, 47884, 112973, 50928, 37689, 26854, 105879, 110924, 16556, 127091, 118765, 107188, 19732, 109900, 127105, 126920, 102508, 223, 30512, 32977, 17663, 29295, 30369, 102677, 32149, 5486, 114715, 72661, 17663, 48154, 16995, 101832, 76947, 119852, 102717, 106624, 38144, 5486, 110240, 50834, 118158, 105933, 116499, 78434, 9174, 9, 100978, 108295, 28713, 108056, 16144, 25197, 32131, 71634, 5486, 104346, 104087, 16144, 16995, 85791, 103171, 110229, 16556, 30832, 20230, 78434, 123794, 1811, 5736, 50834, 42891, 126929, 15682, 5486, 113164, 103857, 29295, 122396, 116233, 1811, 105140, 105677, 64121, 31958, 76622, 20230, 105335, 26269, 52591, 122485, 115303, 31431, 30512, 52884, 93488, 78459, 20230, 39880, 60868, 76171, 54926, 115226, 26854, 39177, 29295, 30591, 76947, 106116, 126101, 13177, 52884, 93488, 78459, 104088, 105262, 33208, 54926, 66383, 95604, 110229, 20230, 39880, 60868, 76171, 39926, 122396, 116233, 123794, 1811, 102971, 91077, 5486, 52884, 93488, 78459, 16144, 91774, 105262, 33208, 15682, 30297, 17129, 47884, 103082, 104435, 116233, 107493, 5486, 72661, 110924, 55031, 91774, 105262, 33208, 108608, 102944, 29295, 30591, 104984, 91774, 105262, 33208, 119607, 76947, 9174, 9, 100978, 106198, 233, 105262, 33208, 5486, 30512, 109768, 47884, 1811, 5736, 28713, 67016, 119869, 20230, 56051, 104468, 5486, 105509, 16144, 52884, 93488, 78459, 16144, 123927, 104196, 31431, 103351, 106046, 61689, 1811, 104346, 104087, 77181, 100204, 107436, 16144, 111098, 111108, 120117, 115541, 126198, 30591, 19732, 20230, 16995, 85791, 16995, 85791, 19732, 111681, 104482, 125334, 28713, 116233, 107493, 108048, 29295, 47000, 23964, 233, 16556, 110590, 104043, 20834, 38144, 28713, 55031, 5486, 64121, 103171, 126365, 111243, 110706, 126172, 16995, 104466, 119607, 19732, 5486, 47000, 23964, 233, 16144, 44915, 30512, 111134, 106384, 48552, 20230, 121256, 9174, 102131, 127564, 5486, 102971, 106391, 16995, 85791, 103171, 105335, 26269, 52591, 29295, 71174, 119707, 107441, 122396, 116233, 57980, 1811, 64121, 102717, 117940, 36896, 45923, 123283, 73590, 16556, 108134, 29295, 50834, 111243, 98499, 104004, 95221, 101983, 110615, 107493, 108149, 30591, 95604, 104346, 117084, 104533, 91774, 38144, 64121, 101200, 107188, 102677, 120208, 108176, 15024, 108048, 29295, 50834, 42891, 126929, 16556, 45923, 123283, 73590, 16144, 50520, 111, 102800, 110229, 32977, 91774, 38144, 64121, 101200, 106046, 107800, 57980, 66383, 119852, 47884, 106824, 109900, 29295, 115003, 231, 67016, 100472, 125651, 1811, 110924, 55031, 43568, 37689, 109375, 126365, 105262, 33208, 108608, 102944, 30512, 106767, 17663, 101200, 101983, 107462, 50834, 79721, 9174, 30591, 19732, 5486, 105994, 107809, 16556, 119448, 102518, 104468, 5486, 66136, 25333, 117158, 38093, 100472, 100909, 107188, 9174, 9, 100978, 78624, 25333, 11571, 5736, 66136, 76947, 95604, 104468, 5486, 112810, 122373, 104157 ]
[ 118192, 108270, 108304, 38248, 115, 78205, 113883, 105838, 105321, 38641, 107493, 5486, 32, 19, 16144, 112810, 20230, 110240, 102334, 102944, 30512, 103927, 124958, 103672, 65575, 20230, 127574, 107462, 50834, 106272, 125053, 54926, 118192, 108270, 108304, 38248, 115, 78205, 113883, 118733, 9174, 45829, 67645, 32977, 105459, 29295, 605, 9953, 20230, 28190, 111813, 121254, 107441, 105994, 118192, 108270, 113883, 107253, 104874, 123410, 101513, 38093, 122291, 116233, 107493, 106116, 126101, 104004, 11972, 108056, 29295, 13177, 18, 9458, 19, 9458, 20, 8107, 21990, 15682, 5486, 66136, 25333, 124905, 76947, 118192, 108270, 16073, 123410, 112973, 33334, 125683, 62004, 120572, 1811, 115406, 32977, 109134, 126328, 28713, 108056, 32977, 126419, 20230, 71289, 110104, 91006, 19732, 45918, 246, 76947, 122396, 116233, 9174, 58426, 126101, 5486, 45829, 67645, 32977, 105459, 20230, 103350, 104983, 20230, 71289, 114598, 33503, 30297, 112772, 112418, 32977, 33334, 46034, 22656, 103306, 110240, 102334, 116233, 107493, 5486, 66136, 19732, 112418, 16144, 111134, 106384, 48552, 117657, 102677, 112973, 5486, 17663, 48154, 47884, 50021, 34171, 29295, 57980, 102518, 116233, 123794, 1811, 83125, 30512, 110590, 104043, 102181, 120816, 104446, 103470, 38144, 117119, 32149, 118639, 108176, 25197, 32131, 71634, 19732, 120065, 56051, 88435, 30512, 102181, 102532, 83601, 233, 104533, 118192, 108270, 108304, 38248, 115, 78205, 16073, 29295, 126120, 47884, 5486, 102677, 112973, 9174, 77693, 55031, 5486, 107420, 109531, 110548, 16144, 119869, 16144, 122984, 123410, 39177, 110162, 117119, 32149, 30512, 108044, 105262, 126101, 66136, 30512, 112418, 116907, 32977, 33655, 30297, 101200, 101983, 107462, 50834, 79721, 9174, 9, 100978, 116564, 17129, 77181, 5486, 25197, 32131, 71634, 30512, 107141, 101275, 71289, 104575, 16144, 120266, 11883, 107991, 109335, 39926, 104435, 16144, 11571, 5736, 111199, 88631, 71289, 33334, 28713, 105755, 20230, 114715, 25197, 32131, 71634, 110240, 102334, 31431, 54926, 110162, 15682, 105693, 107493, 5486, 66136, 25333, 30512, 53283, 76947, 55031, 25197, 32131, 71634, 29295, 17663, 48154, 47884, 8239, 114503, 112535, 107141, 101275, 19732, 59739, 105722, 30369, 102189, 26854, 102677, 104468, 112391, 79721, 1811, 109860, 5486, 104004, 11972, 108056, 20230, 77693, 30512, 80805, 22398, 120837, 33503, 100472, 104468, 17663, 48154, 47884, 108436, 101513, 103351, 107188, 30591, 9174, 58426, 30591, 19732, 806, 9953, 117758, 57933, 108941, 107420, 109531, 110548, 16556, 5486, 45923, 123283, 39850, 108304, 38248, 115, 78205, 16073, 30512, 71289, 107462, 108895, 102677, 123017, 27704, 17129, 76947, 9174, 9, 100978, 63091, 17620, 16144, 104195, 64121, 71289, 50928, 37689, 26854, 106592, 76706, 32149, 39926, 107141, 101275, 116825, 47884, 107462, 47884, 102677, 112973, 5486, 27704, 117864, 116233, 101832, 1811, 5736, 102131, 125651, 1811, 45923, 123283, 39850, 108304, 38248, 115, 78205, 16073, 32977, 50021, 34171, 29295, 104712, 26854, 106046, 16995, 79721, 9174, 90620, 5486, 114016, 112844, 104127, 109954, 1811, 17663, 48154, 47884, 115003, 231, 102800, 116233, 107493, 5486, 110924, 20230, 122270, 103188, 30358, 109768, 126145, 30591, 109709, 104712, 112169, 20230, 118544, 100604, 108995, 26854, 102677, 104468, 5486, 105321, 19732, 103470, 112391, 100481, 38144, 1811, 24186, 104680, 13177, 15682, 28713, 108056, 17663, 48154, 16995, 101832, 66383, 78244, 114598, 33503, 102334, 16995, 76739, 124643, 104603, 11972, 16556, 125894, 91875, 103792, 112391, 122291, 55031, 108048, 15682, 45829, 67645, 32977, 104088, 126386, 57980, 26854, 106046, 76947, 9174, 77693, 127105, 5486, 45829, 67645, 32977, 55031, 16995, 85791, 16995, 85791, 19732, 76739, 124643, 104603, 11972, 114475, 76622, 18655, 76947, 110924, 55031, 91875, 50834, 15682, 100204, 109315, 25580, 23538, 16144, 105335, 26269, 52591, 110162, 33121, 118544, 98369, 110162, 104088, 100934, 19732, 5486, 112418, 32977, 102131, 30591, 104028, 102083, 16995, 26854, 119150, 116233, 1811, 45829, 67645, 102944, 118733, 104940, 104127, 5486, 45829, 67645, 102944, 100909, 55031, 105335, 84477, 109768, 47884, 118881, 29295, 104712, 9174, 9, 100978, 112498, 67645, 102944, 100909, 55031, 5486, 102677, 87177, 103351, 107493, 5486, 110924, 113115, 39926, 16144, 95221, 109669, 50834, 71289, 104721, 33208, 29295, 15682, 28713, 108056, 116907, 107809, 16556, 72718, 50834, 100934, 76947, 95604, 100909, 26854, 104865, 26854, 11571, 5736, 29504, 102158, 16144, 19967, 46729, 16144, 82973, 76947, 5486, 45829, 67645, 32977, 126027, 106942, 30512, 27452, 20230, 122765, 106272, 13177, 108895, 95604, 104346, 20230, 102181, 105784, 16144, 104712, 123794, 66383, 53283, 109375, 30512, 46034, 110968, 109768, 47884, 116233, 107493, 5486, 107141, 101275, 29295, 105335, 84477, 56051, 38574, 106090, 77181, 112185, 45829, 67645, 32977, 126027, 106942, 29295, 104435, 105879, 5486, 112418, 29295, 53953, 102158, 71289, 83125, 116825, 47884, 76947, 77693, 30512, 27452, 20230, 36785, 107113, 116233, 1811, 102131, 127564, 30591, 17663, 22957, 17129, 121944, 36896, 15682, 28713, 108056, 15682, 5486, 108056, 19732, 105994, 32977, 59739, 109749, 76947, 95604, 106592, 103792, 123794, 66383, 119852, 47884, 106824, 1811, 28713, 67016, 20230, 77693, 76947, 5486, 17663, 48154, 47884, 27384, 30926, 26854, 100909, 32149, 121061, 26854, 76947, 9174, 9, 100978, 1054, 45829, 67645, 32977, 19732, 112361, 106592, 54926, 863, 102677, 118733, 117119, 32149, 58426, 30591, 110792, 45829, 67645, 32977, 110792, 97518, 116547, 110162, 107141, 101275, 16144, 57903, 24273, 29295, 124500, 121118, 116233, 101832, 1811, 5736, 124500, 121118, 26854, 102677, 32149, 123334, 110104, 19732, 91774, 119841, 26854, 76947, 95221, 109669, 50834, 79721, 101832, 1811, 125338, 64121, 30369, 118733, 5486, 17663, 48154, 47884, 104398, 121867, 16937, 72368, 40862, 29295, 91774, 107290, 109749, 102677, 32149, 9174, 27452, 116285, 5486, 66136, 103351, 33503, 125338, 64121, 104533, 5486, 17905, 30512, 85701, 120264, 30591, 107674, 118881, 29295, 68759, 41758, 118823, 126268, 126172, 16995, 26854, 110162, 110371, 109577, 9039, 16556, 16, 17620, 120264, 16144, 87177, 108176, 102189, 26854, 110162, 17620, 126469, 1811, 112415, 16144, 91774, 33035, 119432, 50338, 66201, 27479, 29295, 125338, 64121, 30369, 16144, 19732, 71289, 110104, 19732, 105272, 19732, 37087, 61994, 108010, 30297, 116233, 123794, 9174, 37271, 5486, 37725, 127134, 16556, 98499, 102181, 38093, 30512, 71289, 103836, 116233, 107493, 108048, 32977, 45829, 67645, 32977, 105459, 20230, 29172, 81742, 54926, 112772, 5486, 126843, 15682, 105335, 26269, 52591, 105459, 16556, 125338, 64121, 125655, 116233, 1811, 102756, 105048, 57207, 84477, 30512, 98499, 104004, 103378, 118816, 110590, 104043, 89753, 33121, 100481, 47884, 116233, 107493, 5486, 103350, 104983, 20230, 125338, 64121, 30369, 118733, 5486, 43511, 124911, 19732, 112361, 22656, 98499, 104004, 76947, 28190, 101828, 16995, 102189, 26854, 110162, 5486, 105994, 115303, 31431, 16556, 98499, 104004, 103378, 118816, 122202, 20230, 98499, 104127, 28713, 102189, 26854, 102677, 16144, 30512, 103350, 99750, 39926, 106116, 103350, 99750, 114792, 76947, 45829, 67645, 32977, 105459, 20230, 13177, 71289, 103950, 57980, 66383, 29172, 81742, 54926, 16144, 19732, 5486, 110924, 114792, 28713, 101860, 125030, 31431, 30591, 58942, 101860, 109134, 16144, 77181, 5486, 107969, 16144, 108044, 116547, 24273, 32977, 108010, 30297, 26854, 107173, 91763, 76947, 61689, 9174, 30591, 19732, 5486, 107188, 62004, 25827, 29295, 17663, 48154, 47884, 45829, 67645, 32977, 30832, 101911, 105321, 38641, 123794, 1811, 57933, 108941, 107420, 109531, 110548, 16556, 112361, 124180, 20230, 17, 18904, 26854, 103836, 116233, 107493, 5486, 107188, 62004, 25827, 76947, 126920, 45829, 67645, 32977, 19732, 126419, 20230, 109134, 116233, 57980, 1811, 100927, 105262, 80195, 75267, 102677, 105755, 15682, 112160, 114262, 20230, 126407, 104004, 17792, 102677, 105335, 107446, 30512, 101860, 11972, 104043, 110794, 106307, 76622, 100481, 38144, 1811, 110924, 32977, 17663, 48154, 47884, 99750, 33208, 110731, 32149, 110241, 33121, 107515, 9174, 45829, 67645, 102944, 100909, 55031, 102677, 16144, 107118, 120065, 108010, 30297, 32149, 121061, 38641, 107493, 5486, 112418, 5486, 102667, 16556, 104378, 115981, 48864, 16144, 102473, 102452, 109156, 76947, 28713, 126101, 5486, 124283, 102212, 105487, 65743, 105408, 16144, 22656, 30512, 98499, 104127, 13177, 102404, 104067, 66383, 13177, 45059, 66383, 95604, 113727, 24273, 117158, 38093, 100472, 116233, 9174, 9, 100978, 45631, 102404, 104067, 66383, 13177, 45059, 126557, 5736, 102404, 104067, 76947, 95604, 104468, 5486, 106222, 107809, 16556, 19361, 11883, 99750, 16144, 101182, 104721, 33208, 16144, 100909, 5486, 45059, 102677, 104468, 106222, 16144, 19361, 11883, 34171, 20230, 18904, 110226, 84389, 100604, 5486, 104712, 107173, 109161, 16995, 107173, 105321, 107173, 78244, 119841, 104721, 33208, 16144, 106592, 119852, 1811, 112418, 15682, 5486, 45059, 109904, 104721, 33208, 30512, 27384, 30926, 20230, 108608, 17792, 116787, 106956, 26854, 76947, 91763, 100472, 116233, 9174, 104575, 104378, 32977, 102131, 38641, 15024, 5486, 106222, 107809, 16556, 45059, 76947, 30591, 109709, 108526, 38248, 104, 22398, 84389, 100604, 15024, 5486, 108526, 38248, 104, 22398, 84389, 111243, 102971, 91077, 127091, 107734, 80195, 59739, 110162, 20230, 107246, 110226, 84389, 104702, 30297, 1811, 27452, 116285, 5486, 109739, 104369, 100909, 76947, 45829, 67645, 32977, 125030, 76947, 15682, 90620, 109739, 104369, 100909, 26854, 110115, 5486, 114387, 20230, 104712, 100909, 101182, 102189, 57980, 19732, 103646, 31431, 21105, 94, 101668, 30297, 110034, 112130, 9174, 124283, 102212, 105487, 65743, 105408, 15682, 5486, 72661, 102131, 125338, 21105, 94, 101668, 126699, 104446, 103470, 38144, 5486, 104712, 107173, 109161, 16995, 107173, 78244, 119841, 110674, 108056, 19732, 18655, 76947, 33334, 47884, 102677, 120266, 118958, 16144, 119883, 50834, 107407, 19732, 33334, 42891, 116826, 76947, 38144, 109900, 20230, 17663, 48154, 47884, 99750, 103842, 246, 114475, 107674, 116233, 123794, 9174, 72661, 112418, 15682, 5486, 19361, 116958, 103195, 110162, 8239, 114503, 107407, 102677, 120266, 86348, 18904, 110226, 119607, 103306, 103801, 16995, 29295, 43514, 26854, 105879, 5486, 45829, 67645, 32977, 126027, 115789, 5486, 112418, 16144, 123726, 24273, 103306, 32977, 110371, 110674, 18655, 76947, 33334, 47884, 102677, 106592, 109768, 105784, 101200, 115717, 106956, 26854, 106046, 76947, 61689, 9174, 9, 100978, 123602, 104087, 117255, 67645, 32977, 126027, 26854, 32149, 116787, 79721, 11571, 45059, 109904, 104721, 33208, 1811, 5736, 118899, 16144, 100909, 118816, 5486, 107391, 108969, 126198, 45829, 67645, 32977, 105459, 29295, 5486, 103309, 104774, 117733, 25005, 242, 48552, 16556, 80699, 30512, 125119, 39926, 106116, 41642, 31431, 16556, 111930, 232, 106358, 116233, 107493, 108048, 29295, 17663, 48154, 47884, 58666, 67016, 100472, 9174, 72661, 5486, 108895, 125338, 112418, 29295, 85701, 30512, 13177, 104712, 10646, 76947, 78244, 42891, 104702, 30297, 19732, 19361, 11883, 34171, 20230, 18904, 110226, 84389, 104702, 30297, 55031, 5486, 111108, 102800, 110229, 77181, 101182, 116233, 107493, 5486, 72661, 118116, 112690, 77181, 21405, 72342, 100604, 104721, 33208, 30512, 27384, 30926, 20230, 56051, 16995, 26854, 19732, 9174, 9, 100978, 83639, 123090, 1811, 15682, 28713, 108056, 29295, 37271, 66378, 114556, 64209, 101182, 100909, 71289, 109933, 111999, 76428, 56051, 16995, 26854, 106046, 103836, 105908, 30591, 104984, 100927, 107290, 72315, 1811, 5736, 16995, 85791, 16995, 85791, 101182, 107493, 102131, 122543, 30591, 115515, 18904, 16144, 57933, 108941, 107420, 109531, 110548, 16556, 18, 5486, 19, 8107, 21990, 15682, 32, 124180, 19732, 33, 124180, 20230, 17620, 32149, 103468, 116233, 107493, 115515, 17129, 77181, 77693, 108422, 33121, 16144, 124180, 29295, 37087, 61994, 108010, 30297, 112415, 30512, 39926, 102532, 117119, 30512, 71289, 103836, 104865, 33334, 106483, 16995, 37087, 47884, 91774, 58942, 104435, 16144, 30512, 108948, 106483, 117714, 118953, 107610, 20230, 39880, 45923, 66953, 112900, 30512, 115791, 31431, 5486, 108975, 48634, 56051, 31431, 112160, 114262, 107294, 47884, 107462, 108895, 19732, 5486, 87177, 17663, 101513, 38093, 29295, 17663, 48154, 47884, 115079, 107800, 116233, 66327, 123577, 118928, 94550, 21105, 96, 107277, 119607, 10646, 76947, 64121, 42891, 108056, 29295, 71174, 32149, 107441, 122396, 102189, 107493, 9174, 77693, 16556, 5486, 112418, 29295, 102048, 234, 9080, 114387, 100909, 119607, 107188, 19732, 103892, 16556, 78698, 107800, 106592, 5486, 112361, 101426, 107420, 109531, 110548, 16144, 39850, 127058, 104865, 26854, 62004, 25827, 71289, 30591, 30813, 15682, 20230, 87177, 109768, 104533, 5486, 104004, 11972, 108056, 29295, 105104, 78183, 104043, 50834, 38144, 36896, 31958, 9080, 67645, 103171, 112391, 91006, 19732, 71174, 32149, 107441, 47884, 106824, 108048, 109134, 105110, 114387, 123017, 101182, 57980, 76947, 39880, 45923, 66953, 112900, 122396, 31431, 39926, 9174, 110924, 55031, 111629, 49792, 32977, 116690, 103792, 100909, 109860, 5486, 22957, 104699, 17129, 20230, 71174, 32149, 107441, 64121, 101200, 76947, 114363, 103722, 109904, 106592, 104655, 102334, 31431, 5486, 101426, 16144, 100909, 109860, 22649, 70626, 16144, 107420, 111661, 26269, 102895, 96452, 114615, 106956, 43514, 71289, 28713, 17129, 108056, 105352, 104655, 102532, 64121, 101200, 76947, 112160, 102159, 16144, 107141, 101275, 16144, 100909, 107294, 16995, 100481, 85791, 103171, 114754, 37689, 91774, 30512, 124089, 109900, 16556, 103082, 30591, 29295, 100472, 89753, 33121, 76947, 5486, 112418, 29295, 119869, 20230, 103214, 64121, 121697, 28713, 89753, 33121, 107118, 37087, 47884, 103283, 53953, 117084, 121453, 102800, 102944, 101983, 103836, 116233, 123794, 9174, 17663, 48154, 47884, 82973, 32977, 32149, 117295, 15024, 5486, 46034, 56965, 32977, 32149, 117295, 107493, 5486, 72661, 58426, 33671, 16144, 117073, 45829, 67645, 102944, 110783, 76947, 17663, 48154, 47884, 5486, 17663, 48154, 47884, 103424, 47884, 76947, 1811, 127814, 33121, 104702, 76947, 87177, 15024, 40862, 16995, 117733, 122543, 76947, 91763, 30297, 39177, 32977, 101182, 116233, 107493, 123334, 42891, 90620, 76622, 103424, 47884, 109020, 102677, 33014, 99750, 30512, 50928, 109115, 112973, 5486, 17663, 48154, 47884, 112686, 106518, 122543, 106046, 76947, 61689, 9174, 9, 100978, 104626, 109, 30512, 104655, 16995, 100481, 38144, 5486, 127177, 105335, 26269, 52591, 19732, 57106, 115694, 105994, 15682, 1981, 19732, 113727, 101732, 39177, 23538, 55031, 27384, 112495, 104721, 33208, 29295, 15682, 28713, 108056, 107809, 116787, 102131, 122543, 106046, 16995, 79721, 54747, 105994, 15682, 863, 55031, 93056, 105994, 105459, 16556, 863, 20230, 124500, 103836, 123794, 1811, 104346, 104087, 111363, 105647, 124955, 32977, 108618, 17663, 110229, 30591, 19732, 16, 8107, 16556, 115847, 55031, 114941, 30369, 35417, 80195 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 118192, 108270, 108304, 38248, 115, 78205, 113883, 105838, 105321, 38641, 107493, 5486, 32, 19, 16144, 112810, 20230, 110240, 102334, 102944, 30512, 103927, 124958, 103672, 65575, 20230, 127574, 107462, 50834, 106272, 125053, 54926, 118192, 108270, 108304, 38248, 115, 78205, 113883, 118733, 9174, 45829, 67645, 32977, 105459, 29295, 605, 9953, 20230, 28190, 111813, 121254, 107441, 105994, 118192, 108270, 113883, 107253, 104874, 123410, 101513, 38093, 122291, 116233, 107493, 106116, 126101, 104004, 11972, 108056, 29295, 13177, 18, 9458, 19, 9458, 20, 8107, 21990, 15682, 5486, 66136, 25333, 124905, 76947, 118192, 108270, 16073, 123410, 112973, 33334, 125683, 62004, 120572, 1811, 115406, 32977, 109134, 126328, 28713, 108056, 32977, 126419, 20230, 71289, 110104, 91006, 19732, 45918, 246, 76947, 122396, 116233, 9174, 58426, 126101, 5486, 45829, 67645, 32977, 105459, 20230, 103350, 104983, 20230, 71289, 114598, 33503, 30297, 112772, 112418, 32977, 33334, 46034, 22656, 103306, 110240, 102334, 116233, 107493, 5486, 66136, 19732, 112418, 16144, 111134, 106384, 48552, 117657, 102677, 112973, 5486, 17663, 48154, 47884, 50021, 34171, 29295, 57980, 102518, 116233, 123794, 1811, 83125, 30512, 110590, 104043, 102181, 120816, 104446, 103470, 38144, 117119, 32149, 118639, 108176, 25197, 32131, 71634, 19732, 120065, 56051, 88435, 30512, 102181, 102532, 83601, 233, 104533, 118192, 108270, 108304, 38248, 115, 78205, 16073, 29295, 126120, 47884, 5486, 102677, 112973, 9174, 77693, 55031, 5486, 107420, 109531, 110548, 16144, 119869, 16144, 122984, 123410, 39177, 110162, 117119, 32149, 30512, 108044, 105262, 126101, 66136, 30512, 112418, 116907, 32977, 33655, 30297, 101200, 101983, 107462, 50834, 79721, 9174, 9, 100978, 116564, 17129, 77181, 5486, 25197, 32131, 71634, 30512, 107141, 101275, 71289, 104575, 16144, 120266, 11883, 107991, 109335, 39926, 104435, 16144, 11571, 5736, 111199, 88631, 71289, 33334, 28713, 105755, 20230, 114715, 25197, 32131, 71634, 110240, 102334, 31431, 54926, 110162, 15682, 105693, 107493, 5486, 66136, 25333, 30512, 53283, 76947, 55031, 25197, 32131, 71634, 29295, 17663, 48154, 47884, 8239, 114503, 112535, 107141, 101275, 19732, 59739, 105722, 30369, 102189, 26854, 102677, 104468, 112391, 79721, 1811, 109860, 5486, 104004, 11972, 108056, 20230, 77693, 30512, 80805, 22398, 120837, 33503, 100472, 104468, 17663, 48154, 47884, 108436, 101513, 103351, 107188, 30591, 9174, 58426, 30591, 19732, 806, 9953, 117758, 57933, 108941, 107420, 109531, 110548, 16556, 5486, 45923, 123283, 39850, 108304, 38248, 115, 78205, 16073, 30512, 71289, 107462, 108895, 102677, 123017, 27704, 17129, 76947, 9174, 9, 100978, 63091, 17620, 16144, 104195, 64121, 71289, 50928, 37689, 26854, 106592, 76706, 32149, 39926, 107141, 101275, 116825, 47884, 107462, 47884, 102677, 112973, 5486, 27704, 117864, 116233, 101832, 1811, 5736, 102131, 125651, 1811, 45923, 123283, 39850, 108304, 38248, 115, 78205, 16073, 32977, 50021, 34171, 29295, 104712, 26854, 106046, 16995, 79721, 9174, 90620, 5486, 114016, 112844, 104127, 109954, 1811, 17663, 48154, 47884, 115003, 231, 102800, 116233, 107493, 5486, 110924, 20230, 122270, 103188, 30358, 109768, 126145, 30591, 109709, 104712, 112169, 20230, 118544, 100604, 108995, 26854, 102677, 104468, 5486, 105321, 19732, 103470, 112391, 100481, 38144, 1811, 24186, 104680, 13177, 15682, 28713, 108056, 17663, 48154, 16995, 101832, 66383, 78244, 114598, 33503, 102334, 16995, 76739, 124643, 104603, 11972, 16556, 125894, 91875, 103792, 112391, 122291, 55031, 108048, 15682, 45829, 67645, 32977, 104088, 126386, 57980, 26854, 106046, 76947, 9174, 77693, 127105, 5486, 45829, 67645, 32977, 55031, 16995, 85791, 16995, 85791, 19732, 76739, 124643, 104603, 11972, 114475, 76622, 18655, 76947, 110924, 55031, 91875, 50834, 15682, 100204, 109315, 25580, 23538, 16144, 105335, 26269, 52591, 110162, 33121, 118544, 98369, 110162, 104088, 100934, 19732, 5486, 112418, 32977, 102131, 30591, 104028, 102083, 16995, 26854, 119150, 116233, 1811, 45829, 67645, 102944, 118733, 104940, 104127, 5486, 45829, 67645, 102944, 100909, 55031, 105335, 84477, 109768, 47884, 118881, 29295, 104712, 9174, 9, 100978, 112498, 67645, 102944, 100909, 55031, 5486, 102677, 87177, 103351, 107493, 5486, 110924, 113115, 39926, 16144, 95221, 109669, 50834, 71289, 104721, 33208, 29295, 15682, 28713, 108056, 116907, 107809, 16556, 72718, 50834, 100934, 76947, 95604, 100909, 26854, 104865, 26854, 11571, 5736, 29504, 102158, 16144, 19967, 46729, 16144, 82973, 76947, 5486, 45829, 67645, 32977, 126027, 106942, 30512, 27452, 20230, 122765, 106272, 13177, 108895, 95604, 104346, 20230, 102181, 105784, 16144, 104712, 123794, 66383, 53283, 109375, 30512, 46034, 110968, 109768, 47884, 116233, 107493, 5486, 107141, 101275, 29295, 105335, 84477, 56051, 38574, 106090, 77181, 112185, 45829, 67645, 32977, 126027, 106942, 29295, 104435, 105879, 5486, 112418, 29295, 53953, 102158, 71289, 83125, 116825, 47884, 76947, 77693, 30512, 27452, 20230, 36785, 107113, 116233, 1811, 102131, 127564, 30591, 17663, 22957, 17129, 121944, 36896, 15682, 28713, 108056, 15682, 5486, 108056, 19732, 105994, 32977, 59739, 109749, 76947, 95604, 106592, 103792, 123794, 66383, 119852, 47884, 106824, 1811, 28713, 67016, 20230, 77693, 76947, 5486, 17663, 48154, 47884, 27384, 30926, 26854, 100909, 32149, 121061, 26854, 76947, 9174, 9, 100978, 1054, 45829, 67645, 32977, 19732, 112361, 106592, 54926, 863, 102677, 118733, 117119, 32149, 58426, 30591, 110792, 45829, 67645, 32977, 110792, 97518, 116547, 110162, 107141, 101275, 16144, 57903, 24273, 29295, 124500, 121118, 116233, 101832, 1811, 5736, 124500, 121118, 26854, 102677, 32149, 123334, 110104, 19732, 91774, 119841, 26854, 76947, 95221, 109669, 50834, 79721, 101832, 1811, 125338, 64121, 30369, 118733, 5486, 17663, 48154, 47884, 104398, 121867, 16937, 72368, 40862, 29295, 91774, 107290, 109749, 102677, 32149, 9174, 27452, 116285, 5486, 66136, 103351, 33503, 125338, 64121, 104533, 5486, 17905, 30512, 85701, 120264, 30591, 107674, 118881, 29295, 68759, 41758, 118823, 126268, 126172, 16995, 26854, 110162, 110371, 109577, 9039, 16556, 16, 17620, 120264, 16144, 87177, 108176, 102189, 26854, 110162, 17620, 126469, 1811, 112415, 16144, 91774, 33035, 119432, 50338, 66201, 27479, 29295, 125338, 64121, 30369, 16144, 19732, 71289, 110104, 19732, 105272, 19732, 37087, 61994, 108010, 30297, 116233, 123794, 9174, 37271, 5486, 37725, 127134, 16556, 98499, 102181, 38093, 30512, 71289, 103836, 116233, 107493, 108048, 32977, 45829, 67645, 32977, 105459, 20230, 29172, 81742, 54926, 112772, 5486, 126843, 15682, 105335, 26269, 52591, 105459, 16556, 125338, 64121, 125655, 116233, 1811, 102756, 105048, 57207, 84477, 30512, 98499, 104004, 103378, 118816, 110590, 104043, 89753, 33121, 100481, 47884, 116233, 107493, 5486, 103350, 104983, 20230, 125338, 64121, 30369, 118733, 5486, 43511, 124911, 19732, 112361, 22656, 98499, 104004, 76947, 28190, 101828, 16995, 102189, 26854, 110162, 5486, 105994, 115303, 31431, 16556, 98499, 104004, 103378, 118816, 122202, 20230, 98499, 104127, 28713, 102189, 26854, 102677, 16144, 30512, 103350, 99750, 39926, 106116, 103350, 99750, 114792, 76947, 45829, 67645, 32977, 105459, 20230, 13177, 71289, 103950, 57980, 66383, 29172, 81742, 54926, 16144, 19732, 5486, 110924, 114792, 28713, 101860, 125030, 31431, 30591, 58942, 101860, 109134, 16144, 77181, 5486, 107969, 16144, 108044, 116547, 24273, 32977, 108010, 30297, 26854, 107173, 91763, 76947, 61689, 9174, 30591, 19732, 5486, 107188, 62004, 25827, 29295, 17663, 48154, 47884, 45829, 67645, 32977, 30832, 101911, 105321, 38641, 123794, 1811, 57933, 108941, 107420, 109531, 110548, 16556, 112361, 124180, 20230, 17, 18904, 26854, 103836, 116233, 107493, 5486, 107188, 62004, 25827, 76947, 126920, 45829, 67645, 32977, 19732, 126419, 20230, 109134, 116233, 57980, 1811, 100927, 105262, 80195, 75267, 102677, 105755, 15682, 112160, 114262, 20230, 126407, 104004, 17792, 102677, 105335, 107446, 30512, 101860, 11972, 104043, 110794, 106307, 76622, 100481, 38144, 1811, 110924, 32977, 17663, 48154, 47884, 99750, 33208, 110731, 32149, 110241, 33121, 107515, 9174, 45829, 67645, 102944, 100909, 55031, 102677, 16144, 107118, 120065, 108010, 30297, 32149, 121061, 38641, 107493, 5486, 112418, 5486, 102667, 16556, 104378, 115981, 48864, 16144, 102473, 102452, 109156, 76947, 28713, 126101, 5486, 124283, 102212, 105487, 65743, 105408, 16144, 22656, 30512, 98499, 104127, 13177, 102404, 104067, 66383, 13177, 45059, 66383, 95604, 113727, 24273, 117158, 38093, 100472, 116233, 9174, 9, 100978, 45631, 102404, 104067, 66383, 13177, 45059, 126557, 5736, 102404, 104067, 76947, 95604, 104468, 5486, 106222, 107809, 16556, 19361, 11883, 99750, 16144, 101182, 104721, 33208, 16144, 100909, 5486, 45059, 102677, 104468, 106222, 16144, 19361, 11883, 34171, 20230, 18904, 110226, 84389, 100604, 5486, 104712, 107173, 109161, 16995, 107173, 105321, 107173, 78244, 119841, 104721, 33208, 16144, 106592, 119852, 1811, 112418, 15682, 5486, 45059, 109904, 104721, 33208, 30512, 27384, 30926, 20230, 108608, 17792, 116787, 106956, 26854, 76947, 91763, 100472, 116233, 9174, 104575, 104378, 32977, 102131, 38641, 15024, 5486, 106222, 107809, 16556, 45059, 76947, 30591, 109709, 108526, 38248, 104, 22398, 84389, 100604, 15024, 5486, 108526, 38248, 104, 22398, 84389, 111243, 102971, 91077, 127091, 107734, 80195, 59739, 110162, 20230, 107246, 110226, 84389, 104702, 30297, 1811, 27452, 116285, 5486, 109739, 104369, 100909, 76947, 45829, 67645, 32977, 125030, 76947, 15682, 90620, 109739, 104369, 100909, 26854, 110115, 5486, 114387, 20230, 104712, 100909, 101182, 102189, 57980, 19732, 103646, 31431, 21105, 94, 101668, 30297, 110034, 112130, 9174, 124283, 102212, 105487, 65743, 105408, 15682, 5486, 72661, 102131, 125338, 21105, 94, 101668, 126699, 104446, 103470, 38144, 5486, 104712, 107173, 109161, 16995, 107173, 78244, 119841, 110674, 108056, 19732, 18655, 76947, 33334, 47884, 102677, 120266, 118958, 16144, 119883, 50834, 107407, 19732, 33334, 42891, 116826, 76947, 38144, 109900, 20230, 17663, 48154, 47884, 99750, 103842, 246, 114475, 107674, 116233, 123794, 9174, 72661, 112418, 15682, 5486, 19361, 116958, 103195, 110162, 8239, 114503, 107407, 102677, 120266, 86348, 18904, 110226, 119607, 103306, 103801, 16995, 29295, 43514, 26854, 105879, 5486, 45829, 67645, 32977, 126027, 115789, 5486, 112418, 16144, 123726, 24273, 103306, 32977, 110371, 110674, 18655, 76947, 33334, 47884, 102677, 106592, 109768, 105784, 101200, 115717, 106956, 26854, 106046, 76947, 61689, 9174, 9, 100978, 123602, 104087, 117255, 67645, 32977, 126027, 26854, 32149, 116787, 79721, 11571, 45059, 109904, 104721, 33208, 1811, 5736, 118899, 16144, 100909, 118816, 5486, 107391, 108969, 126198, 45829, 67645, 32977, 105459, 29295, 5486, 103309, 104774, 117733, 25005, 242, 48552, 16556, 80699, 30512, 125119, 39926, 106116, 41642, 31431, 16556, 111930, 232, 106358, 116233, 107493, 108048, 29295, 17663, 48154, 47884, 58666, 67016, 100472, 9174, 72661, 5486, 108895, 125338, 112418, 29295, 85701, 30512, 13177, 104712, 10646, 76947, 78244, 42891, 104702, 30297, 19732, 19361, 11883, 34171, 20230, 18904, 110226, 84389, 104702, 30297, 55031, 5486, 111108, 102800, 110229, 77181, 101182, 116233, 107493, 5486, 72661, 118116, 112690, 77181, 21405, 72342, 100604, 104721, 33208, 30512, 27384, 30926, 20230, 56051, 16995, 26854, 19732, 9174, 9, 100978, 83639, 123090, 1811, 15682, 28713, 108056, 29295, 37271, 66378, 114556, 64209, 101182, 100909, 71289, 109933, 111999, 76428, 56051, 16995, 26854, 106046, 103836, 105908, 30591, 104984, 100927, 107290, 72315, 1811, 5736, 16995, 85791, 16995, 85791, 101182, 107493, 102131, 122543, 30591, 115515, 18904, 16144, 57933, 108941, 107420, 109531, 110548, 16556, 18, 5486, 19, 8107, 21990, 15682, 32, 124180, 19732, 33, 124180, 20230, 17620, 32149, 103468, 116233, 107493, 115515, 17129, 77181, 77693, 108422, 33121, 16144, 124180, 29295, 37087, 61994, 108010, 30297, 112415, 30512, 39926, 102532, 117119, 30512, 71289, 103836, 104865, 33334, 106483, 16995, 37087, 47884, 91774, 58942, 104435, 16144, 30512, 108948, 106483, 117714, 118953, 107610, 20230, 39880, 45923, 66953, 112900, 30512, 115791, 31431, 5486, 108975, 48634, 56051, 31431, 112160, 114262, 107294, 47884, 107462, 108895, 19732, 5486, 87177, 17663, 101513, 38093, 29295, 17663, 48154, 47884, 115079, 107800, 116233, 66327, 123577, 118928, 94550, 21105, 96, 107277, 119607, 10646, 76947, 64121, 42891, 108056, 29295, 71174, 32149, 107441, 122396, 102189, 107493, 9174, 77693, 16556, 5486, 112418, 29295, 102048, 234, 9080, 114387, 100909, 119607, 107188, 19732, 103892, 16556, 78698, 107800, 106592, 5486, 112361, 101426, 107420, 109531, 110548, 16144, 39850, 127058, 104865, 26854, 62004, 25827, 71289, 30591, 30813, 15682, 20230, 87177, 109768, 104533, 5486, 104004, 11972, 108056, 29295, 105104, 78183, 104043, 50834, 38144, 36896, 31958, 9080, 67645, 103171, 112391, 91006, 19732, 71174, 32149, 107441, 47884, 106824, 108048, 109134, 105110, 114387, 123017, 101182, 57980, 76947, 39880, 45923, 66953, 112900, 122396, 31431, 39926, 9174, 110924, 55031, 111629, 49792, 32977, 116690, 103792, 100909, 109860, 5486, 22957, 104699, 17129, 20230, 71174, 32149, 107441, 64121, 101200, 76947, 114363, 103722, 109904, 106592, 104655, 102334, 31431, 5486, 101426, 16144, 100909, 109860, 22649, 70626, 16144, 107420, 111661, 26269, 102895, 96452, 114615, 106956, 43514, 71289, 28713, 17129, 108056, 105352, 104655, 102532, 64121, 101200, 76947, 112160, 102159, 16144, 107141, 101275, 16144, 100909, 107294, 16995, 100481, 85791, 103171, 114754, 37689, 91774, 30512, 124089, 109900, 16556, 103082, 30591, 29295, 100472, 89753, 33121, 76947, 5486, 112418, 29295, 119869, 20230, 103214, 64121, 121697, 28713, 89753, 33121, 107118, 37087, 47884, 103283, 53953, 117084, 121453, 102800, 102944, 101983, 103836, 116233, 123794, 9174, 17663, 48154, 47884, 82973, 32977, 32149, 117295, 15024, 5486, 46034, 56965, 32977, 32149, 117295, 107493, 5486, 72661, 58426, 33671, 16144, 117073, 45829, 67645, 102944, 110783, 76947, 17663, 48154, 47884, 5486, 17663, 48154, 47884, 103424, 47884, 76947, 1811, 127814, 33121, 104702, 76947, 87177, 15024, 40862, 16995, 117733, 122543, 76947, 91763, 30297, 39177, 32977, 101182, 116233, 107493, 123334, 42891, 90620, 76622, 103424, 47884, 109020, 102677, 33014, 99750, 30512, 50928, 109115, 112973, 5486, 17663, 48154, 47884, 112686, 106518, 122543, 106046, 76947, 61689, 9174, 9, 100978, 104626, 109, 30512, 104655, 16995, 100481, 38144, 5486, 127177, 105335, 26269, 52591, 19732, 57106, 115694, 105994, 15682, 1981, 19732, 113727, 101732, 39177, 23538, 55031, 27384, 112495, 104721, 33208, 29295, 15682, 28713, 108056, 107809, 116787, 102131, 122543, 106046, 16995, 79721, 54747, 105994, 15682, 863, 55031, 93056, 105994, 105459, 16556, 863, 20230, 124500, 103836, 123794, 1811, 104346, 104087, 111363, 105647, 124955, 32977, 108618, 17663, 110229, 30591, 19732, 16, 8107, 16556, 115847, 55031, 114941, 30369, 35417, 80195 ]
[ 101467, 20230, 108895, 95604, 102944, 114792, 76947, 112454, 31431, 106956, 26854, 115226, 26854, 120208, 32977, 105693, 31431, 54926, 104865, 26854, 1811, 5736, 102131, 125651, 1811, 90620, 5486, 35417, 80195, 20230, 85701, 114792, 107462, 108895, 110162, 122416, 113727, 100934, 19732, 5486, 104346, 104087, 16144, 21405, 28190, 16144, 110229, 103378, 69978, 107462, 47884, 25197, 126989, 101983, 42891, 104702, 30297, 104865, 26854, 76947, 1811, 109860, 126843, 15682, 104346, 104087, 16144, 39850, 102741, 105404, 103378, 104446, 103470, 38144, 68759, 76171, 45923, 16144, 110229, 103296, 36896, 26854, 104127, 77693, 30512, 71289, 103836, 104865, 123334, 31431, 106956, 104865, 117503, 105665, 117083, 47260, 39880, 30512, 33014, 50928, 108608, 103296, 27699, 116, 32149, 103950, 107188, 19732, 9174, 32149, 112371, 16144, 11972, 19732, 104817, 43167, 34048, 38641, 1811, 117355, 103932, 111338, 104346, 104087, 48864, 104674, 16144, 107420, 64810, 22398, 30512, 43240, 115070, 107898, 109948, 76622, 56051, 16995, 106046, 76947, 61689, 1811, 125436, 17597, 111, 124226, 113663, 29295, 126913, 1811, 50520, 111, 102800, 107420, 106384, 64178, 30512, 64121, 30369, 128001, 128000, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 10110, 121568, 25287, 105184, 23187, 26955, 254, 20834, 8107, 35330, 7705, 30512, 27704, 62004, 101200, 106046, 100472, 110018, 36896, 104446, 30591, 126330, 54926, 103842, 246, 120910, 15682, 99849, 30512, 91006, 19732, 116898, 112495, 31431, 103842, 246, 120910, 102647, 102802, 109156, 30369, 100909, 76947, 127181, 106046, 61689, 9174, 77693, 16556, 121771, 98369, 101182, 126330, 22023, 29245, 245, 16144, 121953, 29295, 25197, 68759, 25197, 78459, 78183, 55031, 103470, 38144, 36896, 59739, 64121, 28713, 38144, 45, 35301, 107289, 22398, 22398, 39850, 66383, 32149, 41758, 38248, 108, 33710, 16556, 111800, 52084, 21105, 94, 101668, 30297, 102677, 9174, 51330, 89753, 33121, 108149, 112568, 32977, 33014, 111186, 109768, 107515, 32149, 95532, 32977, 21105, 224, 112568, 29295, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 30512, 33035, 100204, 38144, 36896, 17792, 21990, 30512, 103424, 47884, 56051, 16995, 59712, 92877, 123090, 110482, 30369, 100909, 10110, 92877, 74482, 105150, 106518, 7705, 30512, 111098, 76622, 106956, 66383, 91763, 30297, 105879, 127564, 5486, 103842, 246, 120910, 102647, 102802, 16144, 112772, 114715, 78698, 107290, 111654, 102800, 105908, 57903, 33541, 9174, 85701, 55031, 43032, 103854, 30369, 87177, 15682, 36896, 92877, 123090, 109215, 126738, 35330, 30512, 78698, 107290, 108048, 20230, 106384, 67075, 54926, 47043, 30512, 102647, 104369, 17297, 30590, 126694, 103950, 66383, 95604, 102944, 9174, 116882, 30046, 121568, 103306, 15682, 5486, 88852, 16144, 89753, 33121, 16556, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 16144, 103359, 47523, 47043, 30512, 102647, 104369, 106592, 29172, 81742, 78434, 9174, 12, 118523, 123090, 109215, 126738, 35330, 30512, 78698, 105262, 127211, 111044, 20230, 102780, 31431, 100604, 107803, 102052, 5486, 126330, 126036, 106966, 101275, 198, 12, 118523, 123090, 109215, 126738, 35330, 30512, 105843, 102780, 108608, 104466, 115132, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 78698, 105262, 198, 12, 35469, 115, 33014, 109904, 47043, 30512, 102647, 104369, 198, 88852, 5486, 50520, 111, 106624, 50338, 108323, 109768, 50834, 33541, 9174, 567, 113202, 112495, 31431, 103842, 246, 120910, 30512, 102647, 104369, 112772, 198, 14711, 125634, 67075, 16144, 13177, 90962, 22398, 22398, 39850, 77219, 10646, 15682, 68759, 22398, 70141, 76622, 16556, 108149, 112568, 121568, 20230, 40862, 30297, 107118, 48249, 110104, 198, 119869, 20230, 53283, 76947, 33334, 102532, 102717, 102800, 28542, 103306, 5486, 118823, 16144, 90962, 22398, 22398, 39850, 77219, 15682, 13177, 68759, 22398, 10110, 27428, 127211, 123378, 16144, 37689, 7705, 10646, 70141, 76622, 16144, 77219, 116787, 108149, 112568, 16144, 8107, 106036, 95, 9458, 8107, 110226, 9458, 122013, 106391, 13153, 9458, 109972, 101427, 113, 127749, 30512, 119870, 17129, 107800, 77219, 102052, 26854, 107462, 107515, 9174, 101778, 49409, 80172, 22023, 72661, 13177, 59739, 64121, 28713, 38144, 45, 35301, 16144, 90962, 22398, 22398, 39850, 47043, 10646, 115226, 26854, 77219, 15682, 102181, 102532, 57903, 33541, 29295, 115847, 32977, 30591, 47884, 103296, 47043, 34171, 55031, 102647, 102189, 102944, 16556, 108149, 112568, 16144, 103350, 40474, 20230, 109431, 103792, 32149, 15682, 78183, 107277, 107515, 9174, 27452, 116285, 111476, 12, 101377, 106036, 95, 914, 97049, 106063, 96356, 127211, 114435, 114731, 102781, 198, 12, 101377, 106036, 95, 1135, 97049, 110577, 106367, 1811, 16325, 31809, 114435, 114731, 102781, 16556, 126783, 42634, 107060, 104196, 111587, 30512, 108623, 58942, 100481, 38144, 80631, 107, 35330, 124059, 32149, 198, 12, 101377, 106036, 95, 1272, 97049, 106063, 96356, 1811, 66776, 37656, 106045, 25132, 229, 11883, 16556, 80631, 107, 35330, 110214, 198, 19732, 5486, 127749, 16144, 108901, 109020, 18, 114754, 102334, 107803, 20230, 36896, 37087, 102351, 29295, 112361, 103768, 11883, 39926, 103424, 118544, 66383, 117952, 103468, 33503, 108948, 27929, 124749, 108010, 30297, 116497, 38641, 9174, 118823, 16144, 47260, 108304, 119495, 30512, 121846, 117657, 104983, 102052, 106116, 30591, 115926, 30512, 104364, 15024, 73686, 102532, 78698, 105262, 109215, 107407, 16144, 38641, 9174, 14711, 125634, 67075, 16144, 90962, 22398, 22398, 39850, 30512, 165, 72581, 17857, 239, 64121, 20230, 112990, 5486, 21388, 113529, 16144, 113385, 108176, 32149, 32977, 95532, 679, 23, 8107, 15682, 26854, 107188, 32149, 16906, 111, 102800, 50021, 75267, 29295, 106307, 102532, 61689, 9174, 59739, 64121, 28713, 38144, 45, 35301, 30512, 50834, 42891, 126929, 20230, 126330, 109156, 100472, 17792, 125030, 76947, 15682, 116898, 112495, 31431, 106081, 115541, 16144, 8107, 117084, 103801, 76947, 61689, 9174, 27452, 116285, 5486, 59739, 64121, 28713, 38144, 45, 35301, 16144, 90962, 22398, 22398, 39850, 20230, 123680, 29295, 30369, 105908, 127181, 13177, 68, 10809, 1669, 30453, 121158, 29504, 108156, 29430, 10110, 50, 43945, 2636, 7705, 10646, 15682, 5486, 110382, 16, 113746, 16556, 12, 22, 13, 1627, 113127, 16144, 112603, 17297, 29295, 31431, 30512, 106613, 111186, 126020, 110371, 47043, 30512, 107691, 100472, 43240, 119064, 114754, 96412, 64121, 125173, 30512, 108623, 58942, 100934, 116497, 38641, 9174, 85701, 15682, 68, 10809, 1669, 30453, 121158, 29504, 108156, 29430, 10110, 50, 43945, 2636, 120732, 47043, 34171, 29295, 109161, 117714, 126194, 5486, 32977, 107173, 19732, 112603, 91875, 50834, 16144, 119448, 16995, 47043, 26854, 105879, 112672, 16144, 113702, 38641, 9174, 13177, 118823, 20230, 90962, 22398, 22398, 39850, 76947, 102181, 102532, 28713, 110115, 5486, 114387, 20230, 125173, 21388, 108623, 107290, 104405, 119607, 76864, 198, 76947, 91763, 113017, 17792, 76947, 115924, 103359, 107991, 76947, 91763, 30297, 116233, 123794, 9174, 110382, 16556, 59739, 64121, 28713, 38144, 45, 35301, 30512, 71289, 107436, 114732, 19732, 108948, 35330, 30512, 21388, 100472, 107202, 16995, 114284, 20834, 126694, 42891, 90620, 76622, 16556, 105721, 78183, 76947, 103801, 61689, 9174, 109860, 5486, 43511, 107707, 51385, 87844, 26854, 90962, 22398, 22398, 39850, 20230, 123927, 18904, 84389, 101860, 20230, 108149, 112568, 29295, 50834, 43514, 127842, 113954, 15024, 5486, 108446, 50928, 56051, 17905, 16556, 47043, 30512, 107691, 76947, 102717, 102800, 16144, 38641, 9174, 115191, 16556, 80172, 22023, 107691, 76947, 27384, 125173, 56051, 45736, 106036, 95, 30046, 29295, 105522, 240, 105557, 30512, 125119, 17663, 123017, 5486, 115191, 102351, 29295, 90962, 22398, 22398, 39850, 56051, 47043, 30512, 78183, 102518, 59739, 123731, 16556, 107691, 113017, 72342, 16995, 36785, 106046, 61689, 9174, 567, 124934, 246, 120910, 102647, 23187, 16144, 112772, 113727, 106956, 100909, 198, 14711, 45631, 67645, 16144, 104699, 110706, 103296, 21388, 113529, 39926, 126521, 104865, 10646, 15682, 113727, 106956, 198, 30591, 112568, 29295, 5486, 59739, 64121, 28713, 38144, 45, 35301, 10110, 71289, 72, 1951, 7489, 7705, 16556, 116414, 103296, 112997, 29220, 30512, 18655, 104028, 104865, 5486, 120267, 109033, 58942, 104533, 5486, 116414, 103296, 125173, 21388, 30512, 110008, 37729, 108608, 104865, 15682, 78698, 107290, 33334, 47884, 125231, 38641, 9174, 66378, 20230, 5486, 1135, 31640, 30512, 72404, 58942, 5486, 92877, 74482, 112197, 35330, 30512, 104195, 47884, 37689, 109375, 103792, 105110, 126738, 115143, 38641, 9174, 78698, 105262, 120098, 103306, 5486, 88852, 120950, 30926, 120910, 115991, 33541, 9174, 12, 117826, 19000, 5486, 121410, 9953, 16995, 47884, 120577, 104654, 106382, 29295, 32149, 32149, 103836, 32149, 198, 12, 116564, 69978, 103836, 103087, 106518, 489, 220, 85701, 55031, 91774, 104526, 17129, 104028, 110226, 17701, 10110, 19732, 56906, 107430, 35330, 7705, 30512, 80631, 107, 105623, 226, 56051, 107803, 5486, 92877, 74482, 15682, 104654, 108608, 104865, 10110, 64780, 23954, 64780, 92877, 123470, 104654, 106382, 15682, 5486, 112599, 16144, 121410, 9953, 16144, 104654, 106382, 20230, 3101, 113746, 17620, 10110, 914, 8107, 17620, 7705, 104699, 110706, 115856, 76622, 70203, 126693, 107963, 70203, 108608, 198, 51330, 107963, 70203, 117824, 26854, 76947, 5486, 110226, 17701, 112535, 92877, 123470, 104654, 29295, 109688, 30297, 16995, 107803, 102052, 108149, 109709, 125173, 21388, 30512, 110008, 37729, 118765, 100909, 115717, 33541, 9174, 59739, 109709, 111476, 12, 116564, 74482, 73686, 56906, 103296, 122502, 50834, 106307, 107441, 33334, 35330, 30512, 80631, 107, 62004, 5486, 112599, 101182, 103087, 106518, 19732, 40862, 70203, 126693, 92877, 74482, 15682, 109606, 100604, 107803, 5486, 126330, 15682, 108882, 110993, 112535, 37823, 102514, 16073, 30512, 104862, 76947, 126521, 198, 12, 116564, 74482, 73686, 56906, 103296, 122502, 50834, 106307, 107441, 33334, 35330, 30512, 80631, 107, 107436, 32977, 5486, 92877, 123470, 104654, 30512, 83812, 226, 30297, 103378, 16144, 103087, 106518, 29295, 43568, 16995, 107803, 5486, 126330, 15682, 33563, 106154, 112535, 10110, 110226, 17701, 111983, 69856, 16144, 103846, 102052, 5486, 126330, 126036, 106966, 101275, 104309, 29295, 105184, 103350, 23954, 104309, 19732, 78698, 105262, 105908, 125545, 9174, 827, 118523, 74482, 112197, 35330, 30512, 75694, 121710, 111842, 78698, 105262, 105110, 198, 112599, 16144, 80631, 107, 105623, 226, 99695, 61398, 30512, 92877, 74482, 103296, 120321, 106307, 56051, 107803, 20230, 5486, 17, 11, 931, 21909, 18, 11, 931, 110743, 80631, 107, 62004, 110071, 105110, 5486, 126330, 16556, 112997, 29220, 30512, 19732, 114598, 33334, 27929, 124749, 27384, 121313, 38641, 9174, 15120, 24273, 120953, 39926, 3484, 28359, 102718, 110743, 20230, 67016, 105110, 100604, 107803, 102052, 5486, 126330, 15682, 108680, 108680, 20230, 5486, 106966, 101275, 104309, 30512, 78698, 107800, 118881, 29295, 51385, 64209, 38641, 9174, 101544, 23538, 126330, 15682, 19653, 105184, 96455, 15682, 45736, 117714, 119627, 108048, 15682, 30591, 47884, 103296, 103188, 86436, 16144, 119526, 26854, 105879, 9174, 14711, 121626, 37507, 109215, 126738, 35330, 29295, 32018, 17129, 104533, 115132, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 104662, 62004, 110071, 198, 45163, 37507, 109215, 126738, 35330, 16144, 107963, 70203, 29295, 32018, 17129, 104533, 5486, 110924, 55031, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 104662, 109315, 105908, 125545, 9174, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 107118, 5486, 103768, 11883, 54926, 103087, 35330, 30512, 117409, 48915, 16144, 108156, 71289, 101427, 113, 106306, 104309, 20230, 67645, 120950, 111017, 40862, 16556, 126330, 54926, 104865, 30512, 104662, 109315, 106592, 16995, 61689, 1811, 39880, 109753, 107118, 13177, 103087, 106518, 10646, 5486, 39880, 42634, 102663, 38248, 115, 78205, 16073, 107118, 13177, 55487, 17620, 66383, 95604, 115552, 114792, 76947, 61689, 9174, 103087, 106518, 15682, 110745, 50834, 47884, 17620, 107441, 13177, 102321, 113838, 35330, 59712, 117409, 108156, 29430, 59712, 117409, 101427, 113, 106306, 59712, 48915, 29504, 108156, 29430, 59712, 48915, 29504, 101427, 113, 106306, 59712, 16937, 91875, 106518, 59712, 47043, 9458, 35330, 10646, 104309, 5486, 112361, 105933, 66378, 34171, 114792, 59739, 47043, 16144, 118953, 107610, 30512, 64467, 78434, 1811, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 15682, 106116, 107707, 103087, 106518, 127749, 71289, 112997, 29220, 110008, 37729, 27479, 5486, 103768, 11883, 113173, 104309, 113468, 17792, 77693, 108422, 33121, 16556, 109431, 102769, 26854, 55487, 17620, 29295, 108901, 26854, 31431, 33541, 9174, 53900, 5486, 118789, 112535, 47043, 30512, 103214, 64121, 114146, 28713, 102944, 30512, 121057, 108526, 37823, 90962, 102083, 61689, 9174, 112599, 16144, 126330, 22649, 105242, 103732, 104533, 5486, 91774, 104526, 109315, 60632, 105576, 71289, 125173, 21388, 109518, 15682, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 16556, 102717, 109416, 104662, 17129, 76947, 114732, 114318, 113727, 124195, 61689, 9174, 12, 118523, 123090, 109215, 126738, 35330, 198, 12, 103891, 103087, 16556, 50928, 106956, 33334, 35330, 198, 12, 118523, 74482, 103296, 16144, 103768, 11883, 8107, 9039, 198, 15682, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 104662, 109315, 124122, 107693, 26854, 108321, 115717, 33541, 9174, 12, 220, 108608, 103378, 105184, 103350, 34171, 30512, 30358, 103984, 54926, 105110, 5486, 42634, 111672, 22398, 110305, 111672, 102514, 16073, 26854, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 198, 12, 103372, 16995, 37823, 102514, 16073, 30512, 30832, 64467, 17663, 105110, 5486, 126507, 112997, 29220, 126507, 37823, 102514, 16073, 26854, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 198, 90620, 15024, 5486, 126507, 112997, 29220, 107118, 112603, 91875, 50834, 29295, 119448, 16995, 106592, 115552, 78434, 55031, 5486, 92877, 74482, 112197, 35330, 29295, 18259, 237, 106624, 5486, 21388, 113529, 29295, 110008, 84389, 100604, 107803, 102052, 5486, 42634, 111672, 22398, 110305, 111672, 102514, 16073, 20230, 104873, 64531, 56051, 118881, 29295, 126521, 38641, 9174, 827, 94632, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 29295, 104662, 17129, 104533, 108149, 107118, 47043, 30512, 102647, 104369, 103378, 198, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 29295, 104662, 17129, 104984, 108149, 107118, 77693, 20230, 114146, 38144, 118789, 109904, 47043, 30512, 102647, 104369, 103378, 38641, 9174, 17663 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101467, 20230, 108895, 95604, 102944, 114792, 76947, 112454, 31431, 106956, 26854, 115226, 26854, 120208, 32977, 105693, 31431, 54926, 104865, 26854, 1811, 5736, 102131, 125651, 1811, 90620, 5486, 35417, 80195, 20230, 85701, 114792, 107462, 108895, 110162, 122416, 113727, 100934, 19732, 5486, 104346, 104087, 16144, 21405, 28190, 16144, 110229, 103378, 69978, 107462, 47884, 25197, 126989, 101983, 42891, 104702, 30297, 104865, 26854, 76947, 1811, 109860, 126843, 15682, 104346, 104087, 16144, 39850, 102741, 105404, 103378, 104446, 103470, 38144, 68759, 76171, 45923, 16144, 110229, 103296, 36896, 26854, 104127, 77693, 30512, 71289, 103836, 104865, 123334, 31431, 106956, 104865, 117503, 105665, 117083, 47260, 39880, 30512, 33014, 50928, 108608, 103296, 27699, 116, 32149, 103950, 107188, 19732, 9174, 32149, 112371, 16144, 11972, 19732, 104817, 43167, 34048, 38641, 1811, 117355, 103932, 111338, 104346, 104087, 48864, 104674, 16144, 107420, 64810, 22398, 30512, 43240, 115070, 107898, 109948, 76622, 56051, 16995, 106046, 76947, 61689, 1811, 125436, 17597, 111, 124226, 113663, 29295, 126913, 1811, 50520, 111, 102800, 107420, 106384, 64178, 30512, 64121, 30369, 128001, 128000, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 10110, 121568, 25287, 105184, 23187, 26955, 254, 20834, 8107, 35330, 7705, 30512, 27704, 62004, 101200, 106046, 100472, 110018, 36896, 104446, 30591, 126330, 54926, 103842, 246, 120910, 15682, 99849, 30512, 91006, 19732, 116898, 112495, 31431, 103842, 246, 120910, 102647, 102802, 109156, 30369, 100909, 76947, 127181, 106046, 61689, 9174, 77693, 16556, 121771, 98369, 101182, 126330, 22023, 29245, 245, 16144, 121953, 29295, 25197, 68759, 25197, 78459, 78183, 55031, 103470, 38144, 36896, 59739, 64121, 28713, 38144, 45, 35301, 107289, 22398, 22398, 39850, 66383, 32149, 41758, 38248, 108, 33710, 16556, 111800, 52084, 21105, 94, 101668, 30297, 102677, 9174, 51330, 89753, 33121, 108149, 112568, 32977, 33014, 111186, 109768, 107515, 32149, 95532, 32977, 21105, 224, 112568, 29295, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 30512, 33035, 100204, 38144, 36896, 17792, 21990, 30512, 103424, 47884, 56051, 16995, 59712, 92877, 123090, 110482, 30369, 100909, 10110, 92877, 74482, 105150, 106518, 7705, 30512, 111098, 76622, 106956, 66383, 91763, 30297, 105879, 127564, 5486, 103842, 246, 120910, 102647, 102802, 16144, 112772, 114715, 78698, 107290, 111654, 102800, 105908, 57903, 33541, 9174, 85701, 55031, 43032, 103854, 30369, 87177, 15682, 36896, 92877, 123090, 109215, 126738, 35330, 30512, 78698, 107290, 108048, 20230, 106384, 67075, 54926, 47043, 30512, 102647, 104369, 17297, 30590, 126694, 103950, 66383, 95604, 102944, 9174, 116882, 30046, 121568, 103306, 15682, 5486, 88852, 16144, 89753, 33121, 16556, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 16144, 103359, 47523, 47043, 30512, 102647, 104369, 106592, 29172, 81742, 78434, 9174, 12, 118523, 123090, 109215, 126738, 35330, 30512, 78698, 105262, 127211, 111044, 20230, 102780, 31431, 100604, 107803, 102052, 5486, 126330, 126036, 106966, 101275, 198, 12, 118523, 123090, 109215, 126738, 35330, 30512, 105843, 102780, 108608, 104466, 115132, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 78698, 105262, 198, 12, 35469, 115, 33014, 109904, 47043, 30512, 102647, 104369, 198, 88852, 5486, 50520, 111, 106624, 50338, 108323, 109768, 50834, 33541, 9174, 567, 113202, 112495, 31431, 103842, 246, 120910, 30512, 102647, 104369, 112772, 198, 14711, 125634, 67075, 16144, 13177, 90962, 22398, 22398, 39850, 77219, 10646, 15682, 68759, 22398, 70141, 76622, 16556, 108149, 112568, 121568, 20230, 40862, 30297, 107118, 48249, 110104, 198, 119869, 20230, 53283, 76947, 33334, 102532, 102717, 102800, 28542, 103306, 5486, 118823, 16144, 90962, 22398, 22398, 39850, 77219, 15682, 13177, 68759, 22398, 10110, 27428, 127211, 123378, 16144, 37689, 7705, 10646, 70141, 76622, 16144, 77219, 116787, 108149, 112568, 16144, 8107, 106036, 95, 9458, 8107, 110226, 9458, 122013, 106391, 13153, 9458, 109972, 101427, 113, 127749, 30512, 119870, 17129, 107800, 77219, 102052, 26854, 107462, 107515, 9174, 101778, 49409, 80172, 22023, 72661, 13177, 59739, 64121, 28713, 38144, 45, 35301, 16144, 90962, 22398, 22398, 39850, 47043, 10646, 115226, 26854, 77219, 15682, 102181, 102532, 57903, 33541, 29295, 115847, 32977, 30591, 47884, 103296, 47043, 34171, 55031, 102647, 102189, 102944, 16556, 108149, 112568, 16144, 103350, 40474, 20230, 109431, 103792, 32149, 15682, 78183, 107277, 107515, 9174, 27452, 116285, 111476, 12, 101377, 106036, 95, 914, 97049, 106063, 96356, 127211, 114435, 114731, 102781, 198, 12, 101377, 106036, 95, 1135, 97049, 110577, 106367, 1811, 16325, 31809, 114435, 114731, 102781, 16556, 126783, 42634, 107060, 104196, 111587, 30512, 108623, 58942, 100481, 38144, 80631, 107, 35330, 124059, 32149, 198, 12, 101377, 106036, 95, 1272, 97049, 106063, 96356, 1811, 66776, 37656, 106045, 25132, 229, 11883, 16556, 80631, 107, 35330, 110214, 198, 19732, 5486, 127749, 16144, 108901, 109020, 18, 114754, 102334, 107803, 20230, 36896, 37087, 102351, 29295, 112361, 103768, 11883, 39926, 103424, 118544, 66383, 117952, 103468, 33503, 108948, 27929, 124749, 108010, 30297, 116497, 38641, 9174, 118823, 16144, 47260, 108304, 119495, 30512, 121846, 117657, 104983, 102052, 106116, 30591, 115926, 30512, 104364, 15024, 73686, 102532, 78698, 105262, 109215, 107407, 16144, 38641, 9174, 14711, 125634, 67075, 16144, 90962, 22398, 22398, 39850, 30512, 165, 72581, 17857, 239, 64121, 20230, 112990, 5486, 21388, 113529, 16144, 113385, 108176, 32149, 32977, 95532, 679, 23, 8107, 15682, 26854, 107188, 32149, 16906, 111, 102800, 50021, 75267, 29295, 106307, 102532, 61689, 9174, 59739, 64121, 28713, 38144, 45, 35301, 30512, 50834, 42891, 126929, 20230, 126330, 109156, 100472, 17792, 125030, 76947, 15682, 116898, 112495, 31431, 106081, 115541, 16144, 8107, 117084, 103801, 76947, 61689, 9174, 27452, 116285, 5486, 59739, 64121, 28713, 38144, 45, 35301, 16144, 90962, 22398, 22398, 39850, 20230, 123680, 29295, 30369, 105908, 127181, 13177, 68, 10809, 1669, 30453, 121158, 29504, 108156, 29430, 10110, 50, 43945, 2636, 7705, 10646, 15682, 5486, 110382, 16, 113746, 16556, 12, 22, 13, 1627, 113127, 16144, 112603, 17297, 29295, 31431, 30512, 106613, 111186, 126020, 110371, 47043, 30512, 107691, 100472, 43240, 119064, 114754, 96412, 64121, 125173, 30512, 108623, 58942, 100934, 116497, 38641, 9174, 85701, 15682, 68, 10809, 1669, 30453, 121158, 29504, 108156, 29430, 10110, 50, 43945, 2636, 120732, 47043, 34171, 29295, 109161, 117714, 126194, 5486, 32977, 107173, 19732, 112603, 91875, 50834, 16144, 119448, 16995, 47043, 26854, 105879, 112672, 16144, 113702, 38641, 9174, 13177, 118823, 20230, 90962, 22398, 22398, 39850, 76947, 102181, 102532, 28713, 110115, 5486, 114387, 20230, 125173, 21388, 108623, 107290, 104405, 119607, 76864, 198, 76947, 91763, 113017, 17792, 76947, 115924, 103359, 107991, 76947, 91763, 30297, 116233, 123794, 9174, 110382, 16556, 59739, 64121, 28713, 38144, 45, 35301, 30512, 71289, 107436, 114732, 19732, 108948, 35330, 30512, 21388, 100472, 107202, 16995, 114284, 20834, 126694, 42891, 90620, 76622, 16556, 105721, 78183, 76947, 103801, 61689, 9174, 109860, 5486, 43511, 107707, 51385, 87844, 26854, 90962, 22398, 22398, 39850, 20230, 123927, 18904, 84389, 101860, 20230, 108149, 112568, 29295, 50834, 43514, 127842, 113954, 15024, 5486, 108446, 50928, 56051, 17905, 16556, 47043, 30512, 107691, 76947, 102717, 102800, 16144, 38641, 9174, 115191, 16556, 80172, 22023, 107691, 76947, 27384, 125173, 56051, 45736, 106036, 95, 30046, 29295, 105522, 240, 105557, 30512, 125119, 17663, 123017, 5486, 115191, 102351, 29295, 90962, 22398, 22398, 39850, 56051, 47043, 30512, 78183, 102518, 59739, 123731, 16556, 107691, 113017, 72342, 16995, 36785, 106046, 61689, 9174, 567, 124934, 246, 120910, 102647, 23187, 16144, 112772, 113727, 106956, 100909, 198, 14711, 45631, 67645, 16144, 104699, 110706, 103296, 21388, 113529, 39926, 126521, 104865, 10646, 15682, 113727, 106956, 198, 30591, 112568, 29295, 5486, 59739, 64121, 28713, 38144, 45, 35301, 10110, 71289, 72, 1951, 7489, 7705, 16556, 116414, 103296, 112997, 29220, 30512, 18655, 104028, 104865, 5486, 120267, 109033, 58942, 104533, 5486, 116414, 103296, 125173, 21388, 30512, 110008, 37729, 108608, 104865, 15682, 78698, 107290, 33334, 47884, 125231, 38641, 9174, 66378, 20230, 5486, 1135, 31640, 30512, 72404, 58942, 5486, 92877, 74482, 112197, 35330, 30512, 104195, 47884, 37689, 109375, 103792, 105110, 126738, 115143, 38641, 9174, 78698, 105262, 120098, 103306, 5486, 88852, 120950, 30926, 120910, 115991, 33541, 9174, 12, 117826, 19000, 5486, 121410, 9953, 16995, 47884, 120577, 104654, 106382, 29295, 32149, 32149, 103836, 32149, 198, 12, 116564, 69978, 103836, 103087, 106518, 489, 220, 85701, 55031, 91774, 104526, 17129, 104028, 110226, 17701, 10110, 19732, 56906, 107430, 35330, 7705, 30512, 80631, 107, 105623, 226, 56051, 107803, 5486, 92877, 74482, 15682, 104654, 108608, 104865, 10110, 64780, 23954, 64780, 92877, 123470, 104654, 106382, 15682, 5486, 112599, 16144, 121410, 9953, 16144, 104654, 106382, 20230, 3101, 113746, 17620, 10110, 914, 8107, 17620, 7705, 104699, 110706, 115856, 76622, 70203, 126693, 107963, 70203, 108608, 198, 51330, 107963, 70203, 117824, 26854, 76947, 5486, 110226, 17701, 112535, 92877, 123470, 104654, 29295, 109688, 30297, 16995, 107803, 102052, 108149, 109709, 125173, 21388, 30512, 110008, 37729, 118765, 100909, 115717, 33541, 9174, 59739, 109709, 111476, 12, 116564, 74482, 73686, 56906, 103296, 122502, 50834, 106307, 107441, 33334, 35330, 30512, 80631, 107, 62004, 5486, 112599, 101182, 103087, 106518, 19732, 40862, 70203, 126693, 92877, 74482, 15682, 109606, 100604, 107803, 5486, 126330, 15682, 108882, 110993, 112535, 37823, 102514, 16073, 30512, 104862, 76947, 126521, 198, 12, 116564, 74482, 73686, 56906, 103296, 122502, 50834, 106307, 107441, 33334, 35330, 30512, 80631, 107, 107436, 32977, 5486, 92877, 123470, 104654, 30512, 83812, 226, 30297, 103378, 16144, 103087, 106518, 29295, 43568, 16995, 107803, 5486, 126330, 15682, 33563, 106154, 112535, 10110, 110226, 17701, 111983, 69856, 16144, 103846, 102052, 5486, 126330, 126036, 106966, 101275, 104309, 29295, 105184, 103350, 23954, 104309, 19732, 78698, 105262, 105908, 125545, 9174, 827, 118523, 74482, 112197, 35330, 30512, 75694, 121710, 111842, 78698, 105262, 105110, 198, 112599, 16144, 80631, 107, 105623, 226, 99695, 61398, 30512, 92877, 74482, 103296, 120321, 106307, 56051, 107803, 20230, 5486, 17, 11, 931, 21909, 18, 11, 931, 110743, 80631, 107, 62004, 110071, 105110, 5486, 126330, 16556, 112997, 29220, 30512, 19732, 114598, 33334, 27929, 124749, 27384, 121313, 38641, 9174, 15120, 24273, 120953, 39926, 3484, 28359, 102718, 110743, 20230, 67016, 105110, 100604, 107803, 102052, 5486, 126330, 15682, 108680, 108680, 20230, 5486, 106966, 101275, 104309, 30512, 78698, 107800, 118881, 29295, 51385, 64209, 38641, 9174, 101544, 23538, 126330, 15682, 19653, 105184, 96455, 15682, 45736, 117714, 119627, 108048, 15682, 30591, 47884, 103296, 103188, 86436, 16144, 119526, 26854, 105879, 9174, 14711, 121626, 37507, 109215, 126738, 35330, 29295, 32018, 17129, 104533, 115132, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 104662, 62004, 110071, 198, 45163, 37507, 109215, 126738, 35330, 16144, 107963, 70203, 29295, 32018, 17129, 104533, 5486, 110924, 55031, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 104662, 109315, 105908, 125545, 9174, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 107118, 5486, 103768, 11883, 54926, 103087, 35330, 30512, 117409, 48915, 16144, 108156, 71289, 101427, 113, 106306, 104309, 20230, 67645, 120950, 111017, 40862, 16556, 126330, 54926, 104865, 30512, 104662, 109315, 106592, 16995, 61689, 1811, 39880, 109753, 107118, 13177, 103087, 106518, 10646, 5486, 39880, 42634, 102663, 38248, 115, 78205, 16073, 107118, 13177, 55487, 17620, 66383, 95604, 115552, 114792, 76947, 61689, 9174, 103087, 106518, 15682, 110745, 50834, 47884, 17620, 107441, 13177, 102321, 113838, 35330, 59712, 117409, 108156, 29430, 59712, 117409, 101427, 113, 106306, 59712, 48915, 29504, 108156, 29430, 59712, 48915, 29504, 101427, 113, 106306, 59712, 16937, 91875, 106518, 59712, 47043, 9458, 35330, 10646, 104309, 5486, 112361, 105933, 66378, 34171, 114792, 59739, 47043, 16144, 118953, 107610, 30512, 64467, 78434, 1811, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 15682, 106116, 107707, 103087, 106518, 127749, 71289, 112997, 29220, 110008, 37729, 27479, 5486, 103768, 11883, 113173, 104309, 113468, 17792, 77693, 108422, 33121, 16556, 109431, 102769, 26854, 55487, 17620, 29295, 108901, 26854, 31431, 33541, 9174, 53900, 5486, 118789, 112535, 47043, 30512, 103214, 64121, 114146, 28713, 102944, 30512, 121057, 108526, 37823, 90962, 102083, 61689, 9174, 112599, 16144, 126330, 22649, 105242, 103732, 104533, 5486, 91774, 104526, 109315, 60632, 105576, 71289, 125173, 21388, 109518, 15682, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 16556, 102717, 109416, 104662, 17129, 76947, 114732, 114318, 113727, 124195, 61689, 9174, 12, 118523, 123090, 109215, 126738, 35330, 198, 12, 103891, 103087, 16556, 50928, 106956, 33334, 35330, 198, 12, 118523, 74482, 103296, 16144, 103768, 11883, 8107, 9039, 198, 15682, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 104662, 109315, 124122, 107693, 26854, 108321, 115717, 33541, 9174, 12, 220, 108608, 103378, 105184, 103350, 34171, 30512, 30358, 103984, 54926, 105110, 5486, 42634, 111672, 22398, 110305, 111672, 102514, 16073, 26854, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 198, 12, 103372, 16995, 37823, 102514, 16073, 30512, 30832, 64467, 17663, 105110, 5486, 126507, 112997, 29220, 126507, 37823, 102514, 16073, 26854, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 198, 90620, 15024, 5486, 126507, 112997, 29220, 107118, 112603, 91875, 50834, 29295, 119448, 16995, 106592, 115552, 78434, 55031, 5486, 92877, 74482, 112197, 35330, 29295, 18259, 237, 106624, 5486, 21388, 113529, 29295, 110008, 84389, 100604, 107803, 102052, 5486, 42634, 111672, 22398, 110305, 111672, 102514, 16073, 20230, 104873, 64531, 56051, 118881, 29295, 126521, 38641, 9174, 827, 94632, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 29295, 104662, 17129, 104533, 108149, 107118, 47043, 30512, 102647, 104369, 103378, 198, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 29295, 104662, 17129, 104984, 108149, 107118, 77693, 20230, 114146, 38144, 118789, 109904, 47043, 30512, 102647, 104369, 103378, 38641, 9174, 17663 ]
[ 26854, 78183, 43514, 111476, 102677, 110480, 87217, 125651, 9174, 14711, 45631, 92877, 123090, 109215, 126738, 35330, 19732, 113420, 58942, 110071, 125173, 21388, 10646, 15682, 40053, 20230, 78698, 105262, 104466, 56051, 16995, 198, 37656, 74245, 5486, 110382, 103296, 30512, 78698, 105262, 104468, 111108, 102800, 106046, 61689, 10110, 109860, 5486, 104774, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 102677, 107430, 107407, 105879, 30591, 76947, 123505, 80673, 111476, 12, 118523, 74482, 112197, 35330, 112987, 126910, 109215, 32149, 198, 12, 220, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 16556, 113420, 58942, 110071, 125173, 21388, 112987, 126910, 32149, 198, 30512, 21105, 96, 107277, 78698, 107290, 126330, 30512, 27704, 109013, 33503, 5486, 45163, 37507, 92877, 74482, 105150, 106518, 15682, 18904, 111098, 103082, 104533, 114284, 107515, 32149, 95532, 111108, 102800, 107118, 91763, 61689, 29295, 5486, 112371, 104328, 127637, 78698, 107290, 64121, 38144, 72315, 9174, 567, 220, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 30512, 27704, 109315, 112772, 98499, 115226, 121846, 111629, 102181, 198, 118133, 35330, 15682, 121120, 32149, 127397, 115079, 71289, 21105, 103, 65316, 118587, 123680, 102639, 38144, 33334, 50834, 33541, 9174, 126330, 16144, 22649, 23602, 230, 29295, 15120, 121640, 32149, 32149, 106824, 61689, 105879, 5486, 103842, 246, 120910, 102647, 102802, 112028, 103129, 101983, 104533, 91763, 61689, 9174, 126738, 123213, 102181, 15682, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 102052, 32335, 109431, 33208, 84389, 126386, 103846, 5486, 114305, 58426, 102944, 30512, 50520, 111, 106624, 53283, 31431, 106956, 107803, 102052, 5486, 103283, 16144, 102181, 108847, 30512, 40265, 28713, 30369, 106592, 90962, 22398, 22398, 39850, 78434, 9174, 567, 220, 123011, 62004, 198, 12, 125634, 67075, 17905, 117083, 59739, 64121, 28713, 38144, 45, 35301, 16144, 90962, 22398, 22398, 39850, 77219, 102052, 61633, 109807, 77219, 15682, 30591, 112568, 16144, 8107, 106036, 95, 9458, 8107, 110226, 9458, 122013, 106391, 13153, 9458, 109972, 101427, 113, 127749, 104309, 102052, 32335, 109431, 33208, 84389, 126386, 13177, 27384, 123378, 70141, 76622, 117503, 47260, 108304, 119495, 198, 12, 96407, 30512, 102647, 104369, 112772, 5486, 92877, 74482, 112197, 35330, 125001, 126910, 109215, 16556, 5486, 112599, 16144, 127749, 77181, 104067, 13153, 108608, 104865, 477, 220, 118765, 104865, 30512, 113727, 101200, 1811, 80988, 239, 105714, 76947, 3484, 28359, 102718, 110743, 67016, 108618, 72342, 100604, 107803, 102052, 5486, 126330, 126036, 108010, 30297, 41007, 30512, 102647, 102189, 118881, 29295, 126521, 198, 12, 121626, 37507, 112197, 35330, 29295, 104662, 17129, 104533, 115132, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 104662, 109315, 46034, 29295, 107277, 108176, 1811, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 29295, 104662, 17129, 104984, 108149, 107118, 118789, 109904, 47043, 30512, 102647, 104369, 103378, 198, 14711, 220, 89783, 111813, 5232, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 76947, 111108, 102800, 16144, 95532, 51330, 77219, 103378, 48154, 111182, 101983, 104533, 5486, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 76947, 17663, 48154, 16995, 111108, 102800, 104466, 32977, 98499, 62004, 33541, 123794, 9174, 80673, 5486, 110904, 20230, 13177, 92877, 74482, 112197, 35330, 30512, 78698, 107290, 108048, 20230, 106384, 67075, 54926, 47043, 30512, 102647, 104369, 17297, 30590, 126694, 103950, 66383, 78244, 113017, 103378, 26854, 105879, 5486, 117475, 15682, 112825, 110904, 105321, 38641, 9174, 124572, 20230, 42634, 103672, 39880, 45923, 30512, 102647, 102189, 103306, 32977, 106116, 15836, 15682, 30591, 112568, 29295, 92877, 74482, 109215, 126738, 35330, 16144, 122282, 17129, 77181, 39926, 120700, 107515, 9174, 109860, 5486, 2243, 109, 104043, 91774, 15682, 112825, 110904, 126365, 107290, 32977, 5486, 45163, 37507, 91763, 100472, 105755, 33334, 35330, 29295, 115079, 107290, 33334, 121140, 5486, 74482, 101128, 242, 54926, 32149, 110241, 33121, 107515, 9174, 45163, 37507, 112197, 35330, 16144, 109606, 30512, 61826, 37705, 31431, 39926, 112987, 76622, 107515, 9174, 108608, 103378, 103856, 47884, 103359, 105226, 30512, 27704, 109315, 118733, 5486, 105755, 112825, 110904, 20230, 92877, 74482, 105150, 106518, 15682, 18904, 111098, 108608, 16144, 38641, 1811, 128001, 128000, 2, 45631, 39880, 52591, 109896, 124911, 32977, 59795, 16144, 71289, 31431, 24273, 20230, 95221, 47000, 119188, 111329, 39880, 52591, 109896, 120328, 29504, 77181, 5486, 117273, 71289, 106554, 123160, 76171, 52591, 32131, 123079, 30512, 59795, 114435, 29295, 106529, 30297, 126465, 29295, 30832, 80195, 59739, 1811, 59795, 16144, 103359, 39880, 52591, 109896, 109467, 126330, 108618, 45736, 15682, 679, 21, 8107, 106968, 16556, 3443, 117913, 120389, 20230, 17905, 103836, 66327, 9080, 106613, 91482, 76428, 102750, 22398, 10646, 18, 9953, 19, 9080, 18476, 66378, 43167, 13177, 102433, 30512, 72404, 105262, 107804, 17039, 48634, 102542, 228, 108323, 16144, 39880, 52591, 109896, 10646, 77181, 102663, 114676, 9458, 102494, 113155, 60868, 16144, 30926, 27452, 104309, 30512, 108167, 109415, 28713, 9174, 39880, 52591, 109896, 16556, 48706, 99750, 30512, 45736, 109315, 59795, 20230, 102433, 114435, 15682, 104405, 103359, 117120, 54926, 125231, 32149, 1811, 108270, 102750, 109713, 71289, 109713, 60868, 33710, 103906, 94550, 114435, 5486, 114734, 101513, 97518, 104309, 16556, 106391, 13153, 54926, 39880, 52591, 109896, 9458, 76171, 52591, 32131, 108975, 104760, 38093, 16144, 106496, 22656, 106390, 15120, 38093, 101544, 10110, 80866, 53610, 123079, 38093, 101544, 7705, 20230, 87177, 30512, 104655, 102334, 9174, 39880, 52591, 109896, 102052, 59795, 114435, 29295, 123079, 56051, 117273, 71289, 106554, 123160, 76171, 52591, 32131, 29295, 30591, 33503, 106644, 30369, 116245, 117083, 9174, 106496, 22656, 106390, 15120, 105514, 10110, 88852, 5486, 106496, 22656, 123407, 39880, 52591, 109896, 4370, 71493, 29504, 15682, 108729, 112535, 5486, 125525, 21990, 82420, 30512, 103087, 39084, 16556, 121697, 100934, 115397, 24273, 5486, 113073, 15682, 105268, 30046, 29295, 43240, 47884, 5486, 127032, 29295, 67645, 124592, 25827, 115079, 58942, 5486, 45163, 110782, 102052, 102616, 16144, 113073, 16144, 914, 4, 30512, 108928, 62004, 104533, 117952, 115032, 109900, 103378, 105268, 16995, 29504, 26854, 105879, 102404, 77413, 34171, 107407, 29295, 5486, 103087, 39084, 20230, 117943, 103836, 55031, 71493, 102750, 119703, 1811, 110924, 16556, 59795, 29295, 120955, 54926, 1811, 59795, 16144, 122521, 15682, 35330, 60632, 15682, 126574, 107493, 77195, 15682, 100783, 102, 71289, 32149, 115397, 24273, 123085, 16144, 2114, 32, 10110, 105212, 122401, 110238, 103129, 119735, 5486, 35330, 60632, 15682, 51385, 16995, 29295, 5486, 77195, 29295, 16906, 111, 102800, 9174, 59795, 20230, 117943, 76947, 37271, 103296, 122401, 39926, 105898, 113702, 5486, 59795, 114754, 16995, 124387, 101987, 64121, 100815, 102334, 1811, 59795, 114435, 15682, 59795, 55031, 8239, 112, 122502, 30046, 30512, 89046, 106824, 50834, 38144, 5486, 107420, 109531, 110548, 29295, 105721, 78183, 114598, 103031, 33503, 15682, 108618, 30369, 1811, 59795, 114435, 29295, 123079, 120837, 25132, 229, 11883, 107294, 106272, 100604, 102677, 109335, 5486, 59795, 102677, 61826, 103130, 29504, 117758, 112113, 60634, 108436, 32977, 120853, 33476, 103792, 102677, 100909, 1811, 39880, 52591, 109896, 124911, 105459, 32977, 36896, 113461, 108948, 35330, 30512, 110726, 120837, 33503, 76947, 104196, 111587, 15682, 105994, 105459, 16556, 71289, 110104, 102083, 124324, 110115, 5486, 102971, 91077, 59795, 17792, 103378, 29295, 30297, 17129, 47884, 125338, 25132, 229, 11883, 105352, 59739, 105722, 76947, 100604, 110034, 32149, 66383, 95604, 120266, 95221, 114308, 27704, 62004, 100934, 9174, 59795, 111363, 101427, 113, 102781, 16144, 106529, 33563, 20230, 5486, 67178, 100472, 76171, 52591, 32131, 16144, 38129, 112607, 30512, 110408, 30813, 58942, 110071, 16144, 77181, 102677, 107750, 104611, 32977, 20834, 100934, 9174, 106496, 22656, 5232, 103350, 104983, 20230, 22398, 37823, 93488, 71493, 16556, 5486, 59795, 16144, 103087, 35330, 16556, 123079, 56051, 102040, 113155, 52414, 47307, 103354, 16144, 38129, 112607, 30512, 5486, 1484, 8107, 56965, 5486, 59795, 114435, 20230, 92148, 110, 110968, 56051, 102677, 87177, 125334, 100934, 122262, 35330, 30512, 104196, 72342, 100604, 105110, 1484, 8107, 90620, 16556, 110726, 39926, 72315, 19732, 109900, 15682, 15120, 118821, 102669, 105838, 36785, 119150, 1811, 72661, 5486, 59795, 103306, 15682, 102669, 105838, 32149, 121061, 29295, 5486, 22398, 37823, 93488, 71493, 116446, 64121, 104984, 106116, 39177, 15682, 33334, 35330, 29295, 109215, 16556, 5486, 103354, 30512, 59795, 20230, 64531, 104874, 120837, 33503, 100472, 107493, 102971, 91077, 18655, 109115, 102677, 100909, 9174, 35894, 103354, 16144, 64531, 104874, 32977, 59795, 103087, 22656, 16556, 125338, 102532, 5486, 53900, 112361, 105908, 125119, 30369, 16144, 111769, 32149, 102677, 103435, 116, 104611, 32977, 20834, 27704, 109013, 1811, 108895, 95604, 87177, 29295, 102616, 126867, 108285, 29295, 76947, 102532, 5486, 64121, 26854, 98369, 109688, 101513, 99750, 114792, 103836, 9174, 567, 116056, 77219, 16144, 114971, 198, 14711, 116381, 25197, 107060, 29295, 108044, 108323, 16144, 106826, 78767, 30512, 15017, 100, 102639, 28713, 76739, 78459, 90962, 70563, 39880, 16144, 37271, 198, 27384, 72406, 95, 104145, 231, 16144, 25197, 126989, 29295, 104195, 102518, 76739, 78459, 90962, 70563, 39880, 29295, 104721, 126325, 30512, 30250, 224, 102639, 100934, 113637, 605, 8107, 56965, 15682, 5486, 102616, 23602, 230, 64467, 16144, 106613, 111587, 13153, 101544, 96455, 30512, 103350, 102321, 1811, 29504, 112167, 108695, 16144, 43511, 20230, 5486, 105335, 84477, 122060, 104309, 32977, 53508, 225, 109834, 103792, 1811, 105268, 50834, 39880, 127020, 61075, 50021, 16144, 46034, 117395, 20230, 102616, 16144, 26130, 30832, 29295, 43167, 17129, 103836, 9174, 14711, 94632, 52591, 109896, 16144, 105469, 116664, 114050, 29295, 43167, 115464, 119515, 101129, 33035, 33122, 16144, 122412, 198, 9080, 106613, 91482, 76428, 102750, 22398, 18, 9953, 19, 9080, 18476, 16144, 66378, 43167, 13177, 102433, 30512, 72404, 105262, 107804, 17039, 48634, 102542, 228, 108323, 16144, 39880, 52591, 109896, 10646, 77181, 5486, 103167, 32938, 50928, 30046, 114050, 30512, 103359, 47523, 20230, 125175, 71289, 47043, 30512, 104908, 54926, 33, 3143, 7, 102832, 61398, 9458, 90962, 52884, 9458, 70563, 32131, 101198, 105404, 8, 91482, 76428, 102750, 22398, 16556, 74843, 17701, 112990, 115132, 52591, 109896, 117903, 16144, 87447, 119619, 15682, 111108, 102800, 114318, 90578, 14711, 107637, 29295, 19967, 100472, 102663, 114676, 41401, 13177, 17039, 126952, 10646, 15682, 102395, 109431, 103351, 198, 13177, 9080, 106613, 91482, 76428, 102750, 22398, 10646, 18, 9953, 19, 9080, 18476, 16144, 66378, 43167, 13177, 102433, 30512, 72404, 105262, 107804, 17039, 48634, 102542, 228, 108323, 16144, 39880, 52591, 109896, 10646, 72661, 108167, 109415, 28713, 102663, 114676, 16144, 102494, 113155, 60868, 102052, 5486, 61075, 72368, 96452, 25197, 42634, 91482, 110792, 56965, 30512, 102971, 104369, 124752, 29295, 102149, 103836, 1811, 59795, 29295, 123079, 20230, 120988, 78183, 100472, 51330, 124752, 20230, 110498, 76947, 64121, 28713, 1811, 128001, 128000, 567, 106198, 244, 36735, 112, 119526, 76706, 11883, 6447, 103984, 36735, 112, 123259, 114172, 18655, 121247, 57326, 119539, 103906, 22398, 6383, 17, 13, 15, 30512, 98499, 64121, 50338, 47884, 56040, 11144, 3386, 33, 7244, 220, 2366, 15, 44971, 121057, 112479, 104817, 43167, 34048, 198, 10110, 78659, 55031, 7705, 102212, 101634, 110022, 101772, 103036, 102138, 105514, 5486, 52591, 76428, 111926, 220, 101704, 33563, 76505, 105514, 5486, 111926, 103293, 9080, 109481, 102, 101129, 105514, 198, 108936, 61337, 108638, 122491, 120115, 108134, 112113, 106518, 101275, 108975, 38093, 10110, 41429, 64286, 119735, 5486, 121410, 8107, 106633, 105714, 39850, 26269, 64810, 16556, 87447, 113497, 103792, 13177, 3386, 426, 7244, 118587, 5486, 806, 9953, 972, 21909, 508, 117073, 18, 9080, 122756, 78183, 115926, 110191, 118372, 16556, 87447, 113497, 66327, 39850, 125380, 110022, 40862, 25197, 102832, 52414, 117503, 118331, 25005, 236, 108941, 33710, 30512, 30832, 64467, 15024, 5486, 110191, 118372, 17905, 16556, 103826, 104680, 26854, 127950, 5486, 105360, 102802, 20230, 1135, 71689, 16144, 114341, 102446, 5486, 64810, 101198, 118567, 29295, 103350, 102923, 103646, 9174, 22656, 77219, 77181, 106116, 16325, 55031, 109935, 19732, 118823, 71289, 91482, 76428, 102750, 22398, 110792, 13177, 40621, 118587, 57933, 108941, 19732, 15024, 5486, 3386, 33, 7244, 16144, 115303, 118821, 30832, 106157, 98897, 55723, 13177, 16321, 426, 7244, 3501, 4031, 34, 6641, 117503, 64810, 26269, 104272, 105755, 36896, 103984, 36735, 112, 119526, 76706, 11883, 0, 106198, 244, 36735, 112, 123259, 114172, 18655, 121247, 57326, 119539, 103906, 22398, 6383, 17, 13, 15, 30512, 98499, 64121, 50338, 47884, 117503, 54872, 103826, 30512, 44971, 121057, 54926, 9174, 15120, 34048, 16144, 111926, 101682, 66201, 101513, 39850, 38248, 104, 38248, 226, 108285, 58655, 9458, 104873, 112984, 108695, 16144, 30591, 16995, 36785, 16556, 111926, 103984, 36735, 112, 119526, 16144, 60632, 76706, 11883, 29295, 103130, 104004, 15120, 24273, 5486, 109935, 118482, 30046, 121960, 32977, 19000, 47653, 91077, 30512, 15682, 100204, 62004, 109242, 9039, 61337, 29295, 102208, 61337, 16556, 110226, 43167, 30512, 105335, 84477, 118844, 55031, 109935, 17620, 102212, 113245, 60632, 76706, 11883, 33710, 64178, 29295, 23187, 17129, 107462, 47884, 89753, 33121, 117083, 9174, 37271, 18904, 15682, 5486, 89408, 22, 9953, 106968, 20230, 121298, 103646, 13177, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 115181, 54926, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 18655, 121247, 16995, 123863, 57326, 119539, 103906, 22398, 10110, 424, 13, 17, 13, 15, 7705, 10646, 16144, 19967, 13153, 20230, 120988, 78183, 100472, 103984, 36735, 112, 97518, 89046, 108134, 16144, 18655, 121247, 16995, 123863, 108975, 104760, 38093, 116690, 30046, 10110, 19361, 109375, 30046, 5486, 109935, 118482, 30046, 5486, 109935, 97518, 89046, 108638, 33014, 5486, 16027, 39850, 38248, 104, 11972, 16556, 106391, 13153, 7705, 30512, 80805, 102750, 124766, 103306, 104394, 50834, 5486, 109935, 118482, 112919, 103984, 36735, 112, 119526, 110226, 43167, 60632, 76706, 11883, 16144, 77413, 103192, 109853, 103857, 122407 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 78183, 43514, 111476, 102677, 110480, 87217, 125651, 9174, 14711, 45631, 92877, 123090, 109215, 126738, 35330, 19732, 113420, 58942, 110071, 125173, 21388, 10646, 15682, 40053, 20230, 78698, 105262, 104466, 56051, 16995, 198, 37656, 74245, 5486, 110382, 103296, 30512, 78698, 105262, 104468, 111108, 102800, 106046, 61689, 10110, 109860, 5486, 104774, 25197, 96452, 16073, 123618, 57326, 93488, 118567, 102677, 107430, 107407, 105879, 30591, 76947, 123505, 80673, 111476, 12, 118523, 74482, 112197, 35330, 112987, 126910, 109215, 32149, 198, 12, 220, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 16556, 113420, 58942, 110071, 125173, 21388, 112987, 126910, 32149, 198, 30512, 21105, 96, 107277, 78698, 107290, 126330, 30512, 27704, 109013, 33503, 5486, 45163, 37507, 92877, 74482, 105150, 106518, 15682, 18904, 111098, 103082, 104533, 114284, 107515, 32149, 95532, 111108, 102800, 107118, 91763, 61689, 29295, 5486, 112371, 104328, 127637, 78698, 107290, 64121, 38144, 72315, 9174, 567, 220, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 30512, 27704, 109315, 112772, 98499, 115226, 121846, 111629, 102181, 198, 118133, 35330, 15682, 121120, 32149, 127397, 115079, 71289, 21105, 103, 65316, 118587, 123680, 102639, 38144, 33334, 50834, 33541, 9174, 126330, 16144, 22649, 23602, 230, 29295, 15120, 121640, 32149, 32149, 106824, 61689, 105879, 5486, 103842, 246, 120910, 102647, 102802, 112028, 103129, 101983, 104533, 91763, 61689, 9174, 126738, 123213, 102181, 15682, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 102052, 32335, 109431, 33208, 84389, 126386, 103846, 5486, 114305, 58426, 102944, 30512, 50520, 111, 106624, 53283, 31431, 106956, 107803, 102052, 5486, 103283, 16144, 102181, 108847, 30512, 40265, 28713, 30369, 106592, 90962, 22398, 22398, 39850, 78434, 9174, 567, 220, 123011, 62004, 198, 12, 125634, 67075, 17905, 117083, 59739, 64121, 28713, 38144, 45, 35301, 16144, 90962, 22398, 22398, 39850, 77219, 102052, 61633, 109807, 77219, 15682, 30591, 112568, 16144, 8107, 106036, 95, 9458, 8107, 110226, 9458, 122013, 106391, 13153, 9458, 109972, 101427, 113, 127749, 104309, 102052, 32335, 109431, 33208, 84389, 126386, 13177, 27384, 123378, 70141, 76622, 117503, 47260, 108304, 119495, 198, 12, 96407, 30512, 102647, 104369, 112772, 5486, 92877, 74482, 112197, 35330, 125001, 126910, 109215, 16556, 5486, 112599, 16144, 127749, 77181, 104067, 13153, 108608, 104865, 477, 220, 118765, 104865, 30512, 113727, 101200, 1811, 80988, 239, 105714, 76947, 3484, 28359, 102718, 110743, 67016, 108618, 72342, 100604, 107803, 102052, 5486, 126330, 126036, 108010, 30297, 41007, 30512, 102647, 102189, 118881, 29295, 126521, 198, 12, 121626, 37507, 112197, 35330, 29295, 104662, 17129, 104533, 115132, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 30512, 104662, 109315, 46034, 29295, 107277, 108176, 1811, 39880, 109753, 39880, 42634, 102663, 38248, 115, 78205, 16073, 29295, 104662, 17129, 104984, 108149, 107118, 118789, 109904, 47043, 30512, 102647, 104369, 103378, 198, 14711, 220, 89783, 111813, 5232, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 76947, 111108, 102800, 16144, 95532, 51330, 77219, 103378, 48154, 111182, 101983, 104533, 5486, 59739, 64121, 28713, 38144, 45, 35301, 71289, 72, 1951, 7489, 76947, 17663, 48154, 16995, 111108, 102800, 104466, 32977, 98499, 62004, 33541, 123794, 9174, 80673, 5486, 110904, 20230, 13177, 92877, 74482, 112197, 35330, 30512, 78698, 107290, 108048, 20230, 106384, 67075, 54926, 47043, 30512, 102647, 104369, 17297, 30590, 126694, 103950, 66383, 78244, 113017, 103378, 26854, 105879, 5486, 117475, 15682, 112825, 110904, 105321, 38641, 9174, 124572, 20230, 42634, 103672, 39880, 45923, 30512, 102647, 102189, 103306, 32977, 106116, 15836, 15682, 30591, 112568, 29295, 92877, 74482, 109215, 126738, 35330, 16144, 122282, 17129, 77181, 39926, 120700, 107515, 9174, 109860, 5486, 2243, 109, 104043, 91774, 15682, 112825, 110904, 126365, 107290, 32977, 5486, 45163, 37507, 91763, 100472, 105755, 33334, 35330, 29295, 115079, 107290, 33334, 121140, 5486, 74482, 101128, 242, 54926, 32149, 110241, 33121, 107515, 9174, 45163, 37507, 112197, 35330, 16144, 109606, 30512, 61826, 37705, 31431, 39926, 112987, 76622, 107515, 9174, 108608, 103378, 103856, 47884, 103359, 105226, 30512, 27704, 109315, 118733, 5486, 105755, 112825, 110904, 20230, 92877, 74482, 105150, 106518, 15682, 18904, 111098, 108608, 16144, 38641, 1811, 128001, 128000, 2, 45631, 39880, 52591, 109896, 124911, 32977, 59795, 16144, 71289, 31431, 24273, 20230, 95221, 47000, 119188, 111329, 39880, 52591, 109896, 120328, 29504, 77181, 5486, 117273, 71289, 106554, 123160, 76171, 52591, 32131, 123079, 30512, 59795, 114435, 29295, 106529, 30297, 126465, 29295, 30832, 80195, 59739, 1811, 59795, 16144, 103359, 39880, 52591, 109896, 109467, 126330, 108618, 45736, 15682, 679, 21, 8107, 106968, 16556, 3443, 117913, 120389, 20230, 17905, 103836, 66327, 9080, 106613, 91482, 76428, 102750, 22398, 10646, 18, 9953, 19, 9080, 18476, 66378, 43167, 13177, 102433, 30512, 72404, 105262, 107804, 17039, 48634, 102542, 228, 108323, 16144, 39880, 52591, 109896, 10646, 77181, 102663, 114676, 9458, 102494, 113155, 60868, 16144, 30926, 27452, 104309, 30512, 108167, 109415, 28713, 9174, 39880, 52591, 109896, 16556, 48706, 99750, 30512, 45736, 109315, 59795, 20230, 102433, 114435, 15682, 104405, 103359, 117120, 54926, 125231, 32149, 1811, 108270, 102750, 109713, 71289, 109713, 60868, 33710, 103906, 94550, 114435, 5486, 114734, 101513, 97518, 104309, 16556, 106391, 13153, 54926, 39880, 52591, 109896, 9458, 76171, 52591, 32131, 108975, 104760, 38093, 16144, 106496, 22656, 106390, 15120, 38093, 101544, 10110, 80866, 53610, 123079, 38093, 101544, 7705, 20230, 87177, 30512, 104655, 102334, 9174, 39880, 52591, 109896, 102052, 59795, 114435, 29295, 123079, 56051, 117273, 71289, 106554, 123160, 76171, 52591, 32131, 29295, 30591, 33503, 106644, 30369, 116245, 117083, 9174, 106496, 22656, 106390, 15120, 105514, 10110, 88852, 5486, 106496, 22656, 123407, 39880, 52591, 109896, 4370, 71493, 29504, 15682, 108729, 112535, 5486, 125525, 21990, 82420, 30512, 103087, 39084, 16556, 121697, 100934, 115397, 24273, 5486, 113073, 15682, 105268, 30046, 29295, 43240, 47884, 5486, 127032, 29295, 67645, 124592, 25827, 115079, 58942, 5486, 45163, 110782, 102052, 102616, 16144, 113073, 16144, 914, 4, 30512, 108928, 62004, 104533, 117952, 115032, 109900, 103378, 105268, 16995, 29504, 26854, 105879, 102404, 77413, 34171, 107407, 29295, 5486, 103087, 39084, 20230, 117943, 103836, 55031, 71493, 102750, 119703, 1811, 110924, 16556, 59795, 29295, 120955, 54926, 1811, 59795, 16144, 122521, 15682, 35330, 60632, 15682, 126574, 107493, 77195, 15682, 100783, 102, 71289, 32149, 115397, 24273, 123085, 16144, 2114, 32, 10110, 105212, 122401, 110238, 103129, 119735, 5486, 35330, 60632, 15682, 51385, 16995, 29295, 5486, 77195, 29295, 16906, 111, 102800, 9174, 59795, 20230, 117943, 76947, 37271, 103296, 122401, 39926, 105898, 113702, 5486, 59795, 114754, 16995, 124387, 101987, 64121, 100815, 102334, 1811, 59795, 114435, 15682, 59795, 55031, 8239, 112, 122502, 30046, 30512, 89046, 106824, 50834, 38144, 5486, 107420, 109531, 110548, 29295, 105721, 78183, 114598, 103031, 33503, 15682, 108618, 30369, 1811, 59795, 114435, 29295, 123079, 120837, 25132, 229, 11883, 107294, 106272, 100604, 102677, 109335, 5486, 59795, 102677, 61826, 103130, 29504, 117758, 112113, 60634, 108436, 32977, 120853, 33476, 103792, 102677, 100909, 1811, 39880, 52591, 109896, 124911, 105459, 32977, 36896, 113461, 108948, 35330, 30512, 110726, 120837, 33503, 76947, 104196, 111587, 15682, 105994, 105459, 16556, 71289, 110104, 102083, 124324, 110115, 5486, 102971, 91077, 59795, 17792, 103378, 29295, 30297, 17129, 47884, 125338, 25132, 229, 11883, 105352, 59739, 105722, 76947, 100604, 110034, 32149, 66383, 95604, 120266, 95221, 114308, 27704, 62004, 100934, 9174, 59795, 111363, 101427, 113, 102781, 16144, 106529, 33563, 20230, 5486, 67178, 100472, 76171, 52591, 32131, 16144, 38129, 112607, 30512, 110408, 30813, 58942, 110071, 16144, 77181, 102677, 107750, 104611, 32977, 20834, 100934, 9174, 106496, 22656, 5232, 103350, 104983, 20230, 22398, 37823, 93488, 71493, 16556, 5486, 59795, 16144, 103087, 35330, 16556, 123079, 56051, 102040, 113155, 52414, 47307, 103354, 16144, 38129, 112607, 30512, 5486, 1484, 8107, 56965, 5486, 59795, 114435, 20230, 92148, 110, 110968, 56051, 102677, 87177, 125334, 100934, 122262, 35330, 30512, 104196, 72342, 100604, 105110, 1484, 8107, 90620, 16556, 110726, 39926, 72315, 19732, 109900, 15682, 15120, 118821, 102669, 105838, 36785, 119150, 1811, 72661, 5486, 59795, 103306, 15682, 102669, 105838, 32149, 121061, 29295, 5486, 22398, 37823, 93488, 71493, 116446, 64121, 104984, 106116, 39177, 15682, 33334, 35330, 29295, 109215, 16556, 5486, 103354, 30512, 59795, 20230, 64531, 104874, 120837, 33503, 100472, 107493, 102971, 91077, 18655, 109115, 102677, 100909, 9174, 35894, 103354, 16144, 64531, 104874, 32977, 59795, 103087, 22656, 16556, 125338, 102532, 5486, 53900, 112361, 105908, 125119, 30369, 16144, 111769, 32149, 102677, 103435, 116, 104611, 32977, 20834, 27704, 109013, 1811, 108895, 95604, 87177, 29295, 102616, 126867, 108285, 29295, 76947, 102532, 5486, 64121, 26854, 98369, 109688, 101513, 99750, 114792, 103836, 9174, 567, 116056, 77219, 16144, 114971, 198, 14711, 116381, 25197, 107060, 29295, 108044, 108323, 16144, 106826, 78767, 30512, 15017, 100, 102639, 28713, 76739, 78459, 90962, 70563, 39880, 16144, 37271, 198, 27384, 72406, 95, 104145, 231, 16144, 25197, 126989, 29295, 104195, 102518, 76739, 78459, 90962, 70563, 39880, 29295, 104721, 126325, 30512, 30250, 224, 102639, 100934, 113637, 605, 8107, 56965, 15682, 5486, 102616, 23602, 230, 64467, 16144, 106613, 111587, 13153, 101544, 96455, 30512, 103350, 102321, 1811, 29504, 112167, 108695, 16144, 43511, 20230, 5486, 105335, 84477, 122060, 104309, 32977, 53508, 225, 109834, 103792, 1811, 105268, 50834, 39880, 127020, 61075, 50021, 16144, 46034, 117395, 20230, 102616, 16144, 26130, 30832, 29295, 43167, 17129, 103836, 9174, 14711, 94632, 52591, 109896, 16144, 105469, 116664, 114050, 29295, 43167, 115464, 119515, 101129, 33035, 33122, 16144, 122412, 198, 9080, 106613, 91482, 76428, 102750, 22398, 18, 9953, 19, 9080, 18476, 16144, 66378, 43167, 13177, 102433, 30512, 72404, 105262, 107804, 17039, 48634, 102542, 228, 108323, 16144, 39880, 52591, 109896, 10646, 77181, 5486, 103167, 32938, 50928, 30046, 114050, 30512, 103359, 47523, 20230, 125175, 71289, 47043, 30512, 104908, 54926, 33, 3143, 7, 102832, 61398, 9458, 90962, 52884, 9458, 70563, 32131, 101198, 105404, 8, 91482, 76428, 102750, 22398, 16556, 74843, 17701, 112990, 115132, 52591, 109896, 117903, 16144, 87447, 119619, 15682, 111108, 102800, 114318, 90578, 14711, 107637, 29295, 19967, 100472, 102663, 114676, 41401, 13177, 17039, 126952, 10646, 15682, 102395, 109431, 103351, 198, 13177, 9080, 106613, 91482, 76428, 102750, 22398, 10646, 18, 9953, 19, 9080, 18476, 16144, 66378, 43167, 13177, 102433, 30512, 72404, 105262, 107804, 17039, 48634, 102542, 228, 108323, 16144, 39880, 52591, 109896, 10646, 72661, 108167, 109415, 28713, 102663, 114676, 16144, 102494, 113155, 60868, 102052, 5486, 61075, 72368, 96452, 25197, 42634, 91482, 110792, 56965, 30512, 102971, 104369, 124752, 29295, 102149, 103836, 1811, 59795, 29295, 123079, 20230, 120988, 78183, 100472, 51330, 124752, 20230, 110498, 76947, 64121, 28713, 1811, 128001, 128000, 567, 106198, 244, 36735, 112, 119526, 76706, 11883, 6447, 103984, 36735, 112, 123259, 114172, 18655, 121247, 57326, 119539, 103906, 22398, 6383, 17, 13, 15, 30512, 98499, 64121, 50338, 47884, 56040, 11144, 3386, 33, 7244, 220, 2366, 15, 44971, 121057, 112479, 104817, 43167, 34048, 198, 10110, 78659, 55031, 7705, 102212, 101634, 110022, 101772, 103036, 102138, 105514, 5486, 52591, 76428, 111926, 220, 101704, 33563, 76505, 105514, 5486, 111926, 103293, 9080, 109481, 102, 101129, 105514, 198, 108936, 61337, 108638, 122491, 120115, 108134, 112113, 106518, 101275, 108975, 38093, 10110, 41429, 64286, 119735, 5486, 121410, 8107, 106633, 105714, 39850, 26269, 64810, 16556, 87447, 113497, 103792, 13177, 3386, 426, 7244, 118587, 5486, 806, 9953, 972, 21909, 508, 117073, 18, 9080, 122756, 78183, 115926, 110191, 118372, 16556, 87447, 113497, 66327, 39850, 125380, 110022, 40862, 25197, 102832, 52414, 117503, 118331, 25005, 236, 108941, 33710, 30512, 30832, 64467, 15024, 5486, 110191, 118372, 17905, 16556, 103826, 104680, 26854, 127950, 5486, 105360, 102802, 20230, 1135, 71689, 16144, 114341, 102446, 5486, 64810, 101198, 118567, 29295, 103350, 102923, 103646, 9174, 22656, 77219, 77181, 106116, 16325, 55031, 109935, 19732, 118823, 71289, 91482, 76428, 102750, 22398, 110792, 13177, 40621, 118587, 57933, 108941, 19732, 15024, 5486, 3386, 33, 7244, 16144, 115303, 118821, 30832, 106157, 98897, 55723, 13177, 16321, 426, 7244, 3501, 4031, 34, 6641, 117503, 64810, 26269, 104272, 105755, 36896, 103984, 36735, 112, 119526, 76706, 11883, 0, 106198, 244, 36735, 112, 123259, 114172, 18655, 121247, 57326, 119539, 103906, 22398, 6383, 17, 13, 15, 30512, 98499, 64121, 50338, 47884, 117503, 54872, 103826, 30512, 44971, 121057, 54926, 9174, 15120, 34048, 16144, 111926, 101682, 66201, 101513, 39850, 38248, 104, 38248, 226, 108285, 58655, 9458, 104873, 112984, 108695, 16144, 30591, 16995, 36785, 16556, 111926, 103984, 36735, 112, 119526, 16144, 60632, 76706, 11883, 29295, 103130, 104004, 15120, 24273, 5486, 109935, 118482, 30046, 121960, 32977, 19000, 47653, 91077, 30512, 15682, 100204, 62004, 109242, 9039, 61337, 29295, 102208, 61337, 16556, 110226, 43167, 30512, 105335, 84477, 118844, 55031, 109935, 17620, 102212, 113245, 60632, 76706, 11883, 33710, 64178, 29295, 23187, 17129, 107462, 47884, 89753, 33121, 117083, 9174, 37271, 18904, 15682, 5486, 89408, 22, 9953, 106968, 20230, 121298, 103646, 13177, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 115181, 54926, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 18655, 121247, 16995, 123863, 57326, 119539, 103906, 22398, 10110, 424, 13, 17, 13, 15, 7705, 10646, 16144, 19967, 13153, 20230, 120988, 78183, 100472, 103984, 36735, 112, 97518, 89046, 108134, 16144, 18655, 121247, 16995, 123863, 108975, 104760, 38093, 116690, 30046, 10110, 19361, 109375, 30046, 5486, 109935, 118482, 30046, 5486, 109935, 97518, 89046, 108638, 33014, 5486, 16027, 39850, 38248, 104, 11972, 16556, 106391, 13153, 7705, 30512, 80805, 102750, 124766, 103306, 104394, 50834, 5486, 109935, 118482, 112919, 103984, 36735, 112, 119526, 110226, 43167, 60632, 76706, 11883, 16144, 77413, 103192, 109853, 103857, 122407 ]
[ 26269, 104272, 29295, 23039, 125167, 9174, 80805, 102750, 124766, 15682, 5486, 121450, 102212, 101634, 110022, 40862, 121224, 75302, 39850, 125380, 9458, 125175, 220, 106518, 101275, 68042, 16073, 60868, 33710, 103906, 94550, 34048, 103036, 102138, 127762, 117739, 105514, 5486, 121450, 52591, 76428, 111926, 113909, 16073, 116201, 237, 40862, 39850, 125380, 84851, 103130, 22656, 34048, 68408, 76428, 122258, 125540, 67075, 108526, 103202, 120690, 106536, 227, 40265, 91077, 101544, 114196, 102452, 101544, 220, 101704, 33563, 76505, 107253, 15120, 105514, 1811, 102494, 68408, 44971, 120770, 30512, 121450, 111926, 103293, 9080, 121238, 76428, 102750, 22398, 102741, 37823, 72369, 38248, 115, 78205, 16073, 22656, 34048, 50180, 85, 91077, 110045, 108337, 102741, 37823, 72369, 38248, 115, 78205, 16073, 120690, 109481, 102, 101129, 85315, 111, 105514, 29295, 102781, 109013, 9174, 14711, 50550, 103984, 36735, 112, 119526, 108167, 121247, 117714, 105242, 28542, 15682, 95532, 126843, 120268, 102138, 105514, 29295, 103984, 36735, 112, 119526, 76706, 11883, 16144, 36668, 26854, 105242, 28542, 30512, 64531, 22649, 9174, 13177, 90962, 57326, 20251, 39880, 125916, 10110, 108729, 112535, 126794, 30512, 50928, 100604, 29295, 49988, 37689, 16144, 120853, 33476, 32977, 88367, 117408, 7705, 32149, 5486, 90962, 57326, 20251, 76171, 10110, 126794, 30512, 50928, 30369, 106592, 25580, 29172, 117408, 7705, 32149, 59712, 121568, 108134, 10110, 103306, 121247, 30297, 7705, 32149, 5486, 66776, 121568, 108134, 10110, 103306, 121247, 30297, 7705, 32149, 59712, 10110, 115181, 54926, 119526, 15682, 7705, 126543, 107001, 106045, 104063, 15682, 109935, 17620, 102212, 16144, 102944, 32149, 5486, 118597, 17620, 102212, 16144, 102944, 32149, 66383, 95604, 18, 28542, 20230, 17620, 107441, 122984, 56051, 9174, 103984, 36735, 112, 119526, 102052, 5486, 121568, 30512, 66378, 23187, 54926, 13177, 103984, 36735, 112, 123259, 114172, 10646, 5486, 121568, 30512, 66378, 23187, 21105, 103, 16995, 13177, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 117503, 17, 59739, 107407, 29295, 5486, 25333, 106045, 17905, 16144, 121568, 108134, 20230, 30591, 28713, 30369, 13177, 103984, 36735, 112, 123259, 114172, 10646, 109853, 15682, 5486, 121568, 108134, 123050, 25333, 29295, 126543, 84389, 106116, 40452, 15682, 25333, 113468, 16906, 111, 28741, 20230, 106045, 23187, 107001, 125939, 18904, 16144, 64810, 26269, 104272, 16556, 36668, 104482, 117282, 104468, 5486, 121568, 108134, 123050, 25333, 16144, 126543, 48915, 116787, 106116, 121247, 16995, 109853, 118482, 112919, 37026, 104063, 29295, 32018, 62004, 110071, 13177, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 10646, 36785, 9174, 13177, 27929, 32977, 27929, 32977, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 115181, 20230, 103984, 36735, 112, 112919, 126794, 15682, 113473, 26854, 104865, 5486, 102677, 104760, 105242, 107407, 66383, 31809, 102138, 105514, 66327, 126794, 113473, 105242, 117503, 80195, 75267, 126328, 36896, 44620, 85701, 121142, 121568, 30512, 66378, 23187, 54926, 113334, 111769, 105272, 55031, 5486, 121568, 108134, 102052, 30591, 28713, 121140, 5486, 115181, 20230, 30591, 28713, 76947, 103984, 36735, 112, 112919, 126794, 112987, 110104, 16144, 111769, 32149, 36761, 44620, 115181, 16144, 114140, 30512, 17701, 104028, 100909, 113468, 116900, 20230, 125175, 107740, 29295, 114632, 104698, 107001, 16144, 111769, 32149, 36761, 102677, 104760, 105242, 29295, 104195, 102518, 66383, 102158, 30369, 9174, 15120, 24273, 36896, 126794, 109215, 105242, 117503, 80195, 75267, 126328, 36896, 44620, 99849, 16144, 120706, 104088, 101732, 104865, 36761, 102677, 108134, 15682, 10110, 102159, 107707, 123120, 80805, 102514, 16073, 30512, 20379, 17663, 102944, 116787, 65459, 121568, 71289, 101083, 115351, 16144, 57326, 102803, 66953, 120404, 20230, 103721, 233, 29295, 30369, 1811, 115181, 16144, 112772, 21105, 96, 107277, 126794, 30512, 19732, 30369, 125231, 111769, 32149, 102677, 104760, 105242, 107407, 66383, 9174, 53900, 36896, 112673, 118517, 26269, 80805, 120332, 77181, 10110, 103984, 36735, 112, 119526, 115181, 20230, 30591, 28713, 76947, 7705, 126794, 30512, 36785, 16995, 104369, 18655, 30369, 101200, 110276, 66383, 103792, 29295, 106116, 113702, 36896, 25197, 104603, 112997, 16144, 121568, 108134, 123050, 114373, 38093, 10110, 33750, 7705, 29295, 35417, 21405, 103792, 109544, 103732, 104984, 5486, 16, 9080, 30591, 28713, 111331, 115274, 122481, 91482, 109496, 9039, 15682, 90962, 57326, 20251, 76171, 20230, 112990, 24, 111017, 114485, 83747, 56051, 66383, 95604, 66327, 124572, 20230, 90962, 57326, 20251, 76171, 20230, 109768, 90620, 102334, 24273, 103378, 16144, 103984, 36735, 112, 119526, 30512, 32977, 19732, 20230, 120706, 114835, 123410, 104856, 104533, 124620, 16, 111017, 120332, 16144, 37689, 91774, 67016, 95543, 106482, 118765, 36761, 102677, 100909, 105352, 26854, 31431, 32149, 101832, 100604, 66383, 43032, 103854, 28713, 9174, 13177, 121568, 108134, 10110, 103306, 121247, 30297, 7705, 32149, 5486, 66776, 121568, 108134, 10110, 103306, 121247, 30297, 7705, 32149, 66383, 95604, 105242, 28542, 109853, 120268, 102138, 105514, 15682, 13177, 109935, 64810, 123283, 37823, 103906, 120690, 16144, 104736, 23187, 108638, 33014, 64467, 13393, 251, 103732, 104984, 5486, 66776, 66378, 23187, 103984, 36735, 112, 119526, 109853, 15682, 121568, 108134, 123050, 25333, 16144, 103359, 47523, 48915, 103195, 66383, 21105, 103, 29295, 33503, 32977, 36896, 71289, 15682, 31431, 103984, 36735, 112, 119526, 15682, 57326, 102803, 66953, 120404, 30512, 21105, 96, 107277, 123050, 21105, 103, 118145, 16995, 124324, 16144, 77181, 26854, 100604, 32149, 5486, 102677, 104760, 105242, 107407, 66383, 102158, 31431, 36896, 112424, 126194, 5486, 37026, 36668, 109904, 106045, 104063, 30512, 102332, 105784, 125231, 111769, 32149, 66383, 115515, 18904, 16144, 36668, 104482, 103195, 13177, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 115181, 54926, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 18655, 121247, 16995, 123863, 57326, 119539, 103906, 22398, 10110, 424, 13, 17, 13, 15, 7705, 10646, 16144, 113173, 107294, 26854, 102639, 28713, 9174, 15120, 24273, 5486, 124773, 123437, 67075, 55487, 22023, 15682, 13177, 118597, 117503, 119318, 101734, 229, 117282, 29295, 5486, 102321, 103397, 32977, 118597, 118482, 30046, 111848, 102472, 114265, 118372, 77181, 13177, 118597, 16144, 109243, 28741, 16144, 105184, 33563, 10646, 71289, 13177, 82912, 108134, 16144, 123050, 10646, 104309, 29295, 16906, 111, 106624, 106045, 23187, 110731, 102677, 9174, 13177, 37271, 74482, 5486, 115963, 55487, 22023, 5486, 91774, 110074, 15024, 55487, 22023, 30512, 109935, 118482, 30046, 29295, 103350, 102923, 109768, 47884, 107803, 102052, 5486, 109935, 19732, 55487, 22023, 16144, 103496, 30832, 29295, 107188, 31431, 27552, 244, 11881, 100, 117084, 109749, 118844, 103296, 119775, 109935, 16144, 17620, 102212, 16144, 106045, 104063, 103378, 91774, 38144, 104984, 57980, 16995, 5486, 102677, 109606, 77181, 123733, 76947, 109749, 66383, 31809, 102138, 105514, 1811, 90620, 36896, 109935, 118482, 30046, 29295, 55487, 22023, 117824, 30297, 107803, 5486, 109935, 19732, 118597, 67645, 112384, 32149, 5486, 53900, 110176, 24273, 16144, 61304, 43032, 113115, 106608, 17663, 103854, 112495, 104865, 102677, 75146, 107253, 15682, 112185, 31958, 105184, 101983, 107462, 100604, 66383, 15024, 36896, 37271, 74482, 110382, 109853, 32977, 5486, 29504, 32977, 106624, 15682, 70821, 56965, 108638, 33014, 16144, 33710, 64178, 121960, 31958, 105184, 20230, 109768, 107188, 118145, 16995, 124324, 66383, 43032, 103854, 28713, 9174, 14711, 50550, 57326, 119539, 103906, 22398, 15682, 13177, 90962, 57326, 20251, 39880, 125916, 118587, 25580, 29172, 20230, 5486, 122617, 16144, 106826, 105048, 103927, 33710, 126567, 29295, 97518, 78183, 76947, 44416, 23187, 198, 124858, 117282, 115517, 30512, 122984, 56051, 30297, 58942, 16556, 116898, 57980, 16995, 57980, 104760, 104482, 15682, 13177, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 115181, 54926, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 18655, 121247, 16995, 123863, 57326, 119539, 103906, 22398, 10110, 424, 13, 17, 13, 15, 7705, 10646, 16144, 110135, 45829, 102416, 1811, 110382, 121960, 15682, 5486, 90962, 57326, 20251, 39880, 125916, 111848, 103984, 36735, 112, 77750, 16144, 115181, 30512, 25580, 29172, 20230, 104760, 105242, 29295, 103130, 62004, 125398, 102677, 9174, 31809, 102138, 105514, 15682, 36896, 57326, 119539, 103906, 22398, 16556, 25580, 29172, 19732, 110731, 104468, 5486, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 103984, 36735, 112, 119526, 30512, 110226, 43167, 54926, 5486, 110226, 43167, 56051, 119526, 30512, 5486, 121568, 30512, 66378, 23187, 118765, 44620, 66776, 121568, 108134, 36761, 103306, 121247, 30297, 5486, 102677, 28542, 1811, 108008, 20230, 16906, 111, 102800, 102057, 249, 31431, 109846, 5486, 116900, 20230, 16995, 116285, 66776, 121568, 108134, 109860, 127105, 5486, 90962, 57326, 20251, 39880, 125916, 16556, 110226, 43167, 108608, 66383, 102158, 30369, 9174, 13177, 44416, 23187, 114556, 78183, 30369, 112973, 109935, 118482, 30046, 104309, 57326, 108748, 104930, 11972, 103378, 77181, 33334, 46034, 109466, 31431, 117084, 114732, 66383, 31809, 102138, 105514, 109807, 103846, 110371, 57326, 119539, 103906, 117718, 44416, 23187, 20230, 30591, 28713, 76947, 15682, 108936, 112686, 108638, 122491, 109935, 64810, 123283, 37823, 103906, 120690, 10110, 50, 47572, 7705, 19732, 102212, 101634, 110022, 40862, 121224, 29295, 123357, 91077, 121711, 5486, 109935, 91077, 16144, 102717, 111201, 102208, 108900, 16144, 19361, 109375, 30046, 71289, 33420, 106382, 112919, 106691, 30046, 5486, 39850, 38248, 104, 38248, 226, 70821, 54322, 89046, 5486, 102663, 121294, 111926, 89046, 107808, 5486, 108581, 78519, 109935, 108975, 38093, 123160, 118482, 30046, 108638, 33014, 29295, 110284, 1811, 122270, 90962, 52884, 103988, 112164, 11972, 103306, 98499, 105525, 116491, 61337, 71289, 120115, 108134, 112113, 106518, 101275, 108975, 38093, 10110, 41429, 64286, 65459, 122270, 101721, 33035, 71289, 102216, 78943, 104509, 71016, 39850, 125380, 80805, 84477, 96452, 106240, 104309, 108285, 58655, 108695, 5486, 110022, 102781, 66870, 32977, 21601, 78183, 103836, 102677, 9174, 13177, 10110, 109935, 91077, 121142, 7705, 33334, 46034, 109466, 111331, 104284, 46034, 26854, 33710, 64178, 126694, 103836, 113334, 126194, 5486, 65854, 114181, 34171, 114792, 59739, 57326, 108748, 104930, 11972, 29295, 110284, 15024, 127359, 33710, 78459, 106826, 105048, 103927, 33710, 99959, 107610, 42634, 64810, 22398, 30512, 103350, 102321, 103792, 66383, 31809, 102138, 105514, 66327, 60632, 104698, 116690, 30046, 29295, 50834, 43514, 127842, 15120, 104509, 20230, 38093, 39926, 33710, 64178, 126694, 103836, 66383, 104195, 104873, 56051, 9174, 14711, 50550, 103984, 36735, 112, 119526, 106596, 16144, 104983, 15682, 13177, 121568, 66378, 23187, 109947, 117120, 22649, 10646, 121409, 13177, 119526, 115181, 34048, 113112, 16144, 113849, 106627, 118587, 17599, 117, 104792, 198, 13177, 10110, 103984, 36735, 112, 112919, 126794, 30512, 32018, 62004, 100604, 7705, 90962, 57326, 20251, 39880, 125916, 16556, 103350, 102923, 54926, 107803, 72661, 5486, 109935, 91077, 120332, 77181, 107188, 31431, 126128, 44416, 112535, 107740, 113173, 30512, 119379, 15024, 5486, 108167, 121247, 33334, 30297, 102677, 118733, 33710, 64178, 126694, 103836, 66383, 31809, 102138, 105514, 109807, 110322, 31958, 103306, 5486, 118789, 109904, 108152, 61398, 126465, 30512, 123680, 102639, 28713, 9174, 103984, 36735, 112, 119526, 16144, 106596, 20230, 30591, 115926, 5486, 103984, 36735, 112, 112919, 80356, 108134, 30512, 47000, 58318, 54926, 113009, 48915, 34048, 55031, 80805, 124643, 119526, 30512, 115181, 54926, 109215, 107407, 29295, 115847, 114475, 76622, 18655, 30369, 104983, 102052, 24186, 16144, 121568, 108134, 29295, 84851, 23187, 118765, 83799, 20230, 117120, 22649, 103646, 121894, 103195, 100909, 19732, 15024, 108048, 30512, 120273, 103664, 50667, 16556, 31958, 105184, 20230, 106045, 23187, 54926, 101200, 104577, 102781, 122382, 100934, 102677, 9174, 122270, 36896, 108895, 56051, 121894, 16556, 101682, 76622, 18655, 100472, 80805, 124643, 119526, 30512, 103984, 36735, 112, 119526, 19732, 104584, 50834, 114146, 30369, 104983, 102052, 44620, 119237, 102867, 40862, 34171, 29220, 104612, 119930, 75146, 107253, 36761, 30512, 23187, 107436, 126543, 54926, 66383, 31809, 102138, 105514, 66327, 118789, 112535, 95604, 19732, 5486, 121568, 108134, 115287, 119526, 30512, 121568, 108134, 16144, 105494, 19732, 102131, 16556, 100604, 105494, 20230, 2118, 17620, 106627, 39926, 108167, 121247, 30297, 863, 106592, 124260, 15024, 108048, 108422, 33121, 103283, 104680, 16144, 34048, 103722, 16556, 115181, 56051, 102944, 30512, 25580, 29172, 117408, 66383, 95604, 9174, 13177, 121568, 108134, 16144, 105514, 13372, 103378, 30512, 33420, 56051, 55031, 102083, 76947, 108048, 29295, 74245, 43514, 20230, 121568, 108134, 19732, 102971, 102802, 47000, 126660, 102677, 100909, 102052, 105110, 100604, 1811, 66776, 66378, 23187, 103195, 106592, 106529, 33563, 54926, 103846, 5486, 121568, 108134, 30512, 108167, 121247, 30297, 34048, 113112, 19732, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 30512, 108167, 121247, 30297, 34048, 113112, 30512, 31958, 105184, 20230, 17620, 105784, 66383, 31809, 102138, 105514, 66327, 113160, 49988, 30046, 5486, 126913, 30046, 29295, 77693, 108422, 33121, 16144, 119526, 102416, 50021, 106483, 39880, 122086, 22398, 118765, 121894, 117408, 1811, 110904, 20230, 121606, 103306, 17620, 105784, 102677, 100909, 126194, 5486, 123141, 5486, 33710, 64178, 17905, 16556, 10110, 119526, 16144, 115181, 119318, 116310, 30512, 7705, 21105, 96, 107277, 119379, 54926, 101200, 106045, 23187, 103792, 66383, 102158, 100472, 9174, 14711, 50550, 103984, 36735, 112, 119526, 16144, 18655, 121247, 55031, 108285, 58655, 55487, 22023, 103296, 13177, 122617, 109935, 91077, 32943, 16556, 103350, 102923, 54926, 10646, 101200, 106045, 23187, 198, 13177, 44620, 109935, 91077, 29295, 40452, 54926, 102616, 55031, 119526, 30512, 48915, 117158, 30813, 100604, 36761, 105908, 5486, 103984, 36735, 112, 119526, 108167, 121247, 117714, 27384, 104721, 107693, 26854, 120098, 66383, 31809, 102138, 105514, 66327, 119526, 16144, 115181, 55031, 108048, 20230, 75146, 109669, 47884, 44971, 47260, 39850, 102860, 5486, 108285, 58655, 30177, 109835, 20230, 102334, 30369, 103296, 5486, 122617, 109935, 91077, 16144, 40452, 17297, 16556, 23039, 126832, 104466, 54926, 66383, 95604, 9174, 44971, 47260, 39850, 102860, 117824, 30297, 104983, 5486, 103984, 36735, 112, 119526, 20230, 21601, 58942, 5486, 19360, 113245, 34273, 110, 111182, 119526, 102083, 100472, 104466, 39850, 125380, 30512, 109203, 64889, 54926, 119526, 42016, 101559, 30512, 115856, 76622, 114146, 30369, 126465, 115991, 106116, 104983, 20230, 47307, 38248, 110 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26269, 104272, 29295, 23039, 125167, 9174, 80805, 102750, 124766, 15682, 5486, 121450, 102212, 101634, 110022, 40862, 121224, 75302, 39850, 125380, 9458, 125175, 220, 106518, 101275, 68042, 16073, 60868, 33710, 103906, 94550, 34048, 103036, 102138, 127762, 117739, 105514, 5486, 121450, 52591, 76428, 111926, 113909, 16073, 116201, 237, 40862, 39850, 125380, 84851, 103130, 22656, 34048, 68408, 76428, 122258, 125540, 67075, 108526, 103202, 120690, 106536, 227, 40265, 91077, 101544, 114196, 102452, 101544, 220, 101704, 33563, 76505, 107253, 15120, 105514, 1811, 102494, 68408, 44971, 120770, 30512, 121450, 111926, 103293, 9080, 121238, 76428, 102750, 22398, 102741, 37823, 72369, 38248, 115, 78205, 16073, 22656, 34048, 50180, 85, 91077, 110045, 108337, 102741, 37823, 72369, 38248, 115, 78205, 16073, 120690, 109481, 102, 101129, 85315, 111, 105514, 29295, 102781, 109013, 9174, 14711, 50550, 103984, 36735, 112, 119526, 108167, 121247, 117714, 105242, 28542, 15682, 95532, 126843, 120268, 102138, 105514, 29295, 103984, 36735, 112, 119526, 76706, 11883, 16144, 36668, 26854, 105242, 28542, 30512, 64531, 22649, 9174, 13177, 90962, 57326, 20251, 39880, 125916, 10110, 108729, 112535, 126794, 30512, 50928, 100604, 29295, 49988, 37689, 16144, 120853, 33476, 32977, 88367, 117408, 7705, 32149, 5486, 90962, 57326, 20251, 76171, 10110, 126794, 30512, 50928, 30369, 106592, 25580, 29172, 117408, 7705, 32149, 59712, 121568, 108134, 10110, 103306, 121247, 30297, 7705, 32149, 5486, 66776, 121568, 108134, 10110, 103306, 121247, 30297, 7705, 32149, 59712, 10110, 115181, 54926, 119526, 15682, 7705, 126543, 107001, 106045, 104063, 15682, 109935, 17620, 102212, 16144, 102944, 32149, 5486, 118597, 17620, 102212, 16144, 102944, 32149, 66383, 95604, 18, 28542, 20230, 17620, 107441, 122984, 56051, 9174, 103984, 36735, 112, 119526, 102052, 5486, 121568, 30512, 66378, 23187, 54926, 13177, 103984, 36735, 112, 123259, 114172, 10646, 5486, 121568, 30512, 66378, 23187, 21105, 103, 16995, 13177, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 117503, 17, 59739, 107407, 29295, 5486, 25333, 106045, 17905, 16144, 121568, 108134, 20230, 30591, 28713, 30369, 13177, 103984, 36735, 112, 123259, 114172, 10646, 109853, 15682, 5486, 121568, 108134, 123050, 25333, 29295, 126543, 84389, 106116, 40452, 15682, 25333, 113468, 16906, 111, 28741, 20230, 106045, 23187, 107001, 125939, 18904, 16144, 64810, 26269, 104272, 16556, 36668, 104482, 117282, 104468, 5486, 121568, 108134, 123050, 25333, 16144, 126543, 48915, 116787, 106116, 121247, 16995, 109853, 118482, 112919, 37026, 104063, 29295, 32018, 62004, 110071, 13177, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 10646, 36785, 9174, 13177, 27929, 32977, 27929, 32977, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 115181, 20230, 103984, 36735, 112, 112919, 126794, 15682, 113473, 26854, 104865, 5486, 102677, 104760, 105242, 107407, 66383, 31809, 102138, 105514, 66327, 126794, 113473, 105242, 117503, 80195, 75267, 126328, 36896, 44620, 85701, 121142, 121568, 30512, 66378, 23187, 54926, 113334, 111769, 105272, 55031, 5486, 121568, 108134, 102052, 30591, 28713, 121140, 5486, 115181, 20230, 30591, 28713, 76947, 103984, 36735, 112, 112919, 126794, 112987, 110104, 16144, 111769, 32149, 36761, 44620, 115181, 16144, 114140, 30512, 17701, 104028, 100909, 113468, 116900, 20230, 125175, 107740, 29295, 114632, 104698, 107001, 16144, 111769, 32149, 36761, 102677, 104760, 105242, 29295, 104195, 102518, 66383, 102158, 30369, 9174, 15120, 24273, 36896, 126794, 109215, 105242, 117503, 80195, 75267, 126328, 36896, 44620, 99849, 16144, 120706, 104088, 101732, 104865, 36761, 102677, 108134, 15682, 10110, 102159, 107707, 123120, 80805, 102514, 16073, 30512, 20379, 17663, 102944, 116787, 65459, 121568, 71289, 101083, 115351, 16144, 57326, 102803, 66953, 120404, 20230, 103721, 233, 29295, 30369, 1811, 115181, 16144, 112772, 21105, 96, 107277, 126794, 30512, 19732, 30369, 125231, 111769, 32149, 102677, 104760, 105242, 107407, 66383, 9174, 53900, 36896, 112673, 118517, 26269, 80805, 120332, 77181, 10110, 103984, 36735, 112, 119526, 115181, 20230, 30591, 28713, 76947, 7705, 126794, 30512, 36785, 16995, 104369, 18655, 30369, 101200, 110276, 66383, 103792, 29295, 106116, 113702, 36896, 25197, 104603, 112997, 16144, 121568, 108134, 123050, 114373, 38093, 10110, 33750, 7705, 29295, 35417, 21405, 103792, 109544, 103732, 104984, 5486, 16, 9080, 30591, 28713, 111331, 115274, 122481, 91482, 109496, 9039, 15682, 90962, 57326, 20251, 76171, 20230, 112990, 24, 111017, 114485, 83747, 56051, 66383, 95604, 66327, 124572, 20230, 90962, 57326, 20251, 76171, 20230, 109768, 90620, 102334, 24273, 103378, 16144, 103984, 36735, 112, 119526, 30512, 32977, 19732, 20230, 120706, 114835, 123410, 104856, 104533, 124620, 16, 111017, 120332, 16144, 37689, 91774, 67016, 95543, 106482, 118765, 36761, 102677, 100909, 105352, 26854, 31431, 32149, 101832, 100604, 66383, 43032, 103854, 28713, 9174, 13177, 121568, 108134, 10110, 103306, 121247, 30297, 7705, 32149, 5486, 66776, 121568, 108134, 10110, 103306, 121247, 30297, 7705, 32149, 66383, 95604, 105242, 28542, 109853, 120268, 102138, 105514, 15682, 13177, 109935, 64810, 123283, 37823, 103906, 120690, 16144, 104736, 23187, 108638, 33014, 64467, 13393, 251, 103732, 104984, 5486, 66776, 66378, 23187, 103984, 36735, 112, 119526, 109853, 15682, 121568, 108134, 123050, 25333, 16144, 103359, 47523, 48915, 103195, 66383, 21105, 103, 29295, 33503, 32977, 36896, 71289, 15682, 31431, 103984, 36735, 112, 119526, 15682, 57326, 102803, 66953, 120404, 30512, 21105, 96, 107277, 123050, 21105, 103, 118145, 16995, 124324, 16144, 77181, 26854, 100604, 32149, 5486, 102677, 104760, 105242, 107407, 66383, 102158, 31431, 36896, 112424, 126194, 5486, 37026, 36668, 109904, 106045, 104063, 30512, 102332, 105784, 125231, 111769, 32149, 66383, 115515, 18904, 16144, 36668, 104482, 103195, 13177, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 115181, 54926, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 18655, 121247, 16995, 123863, 57326, 119539, 103906, 22398, 10110, 424, 13, 17, 13, 15, 7705, 10646, 16144, 113173, 107294, 26854, 102639, 28713, 9174, 15120, 24273, 5486, 124773, 123437, 67075, 55487, 22023, 15682, 13177, 118597, 117503, 119318, 101734, 229, 117282, 29295, 5486, 102321, 103397, 32977, 118597, 118482, 30046, 111848, 102472, 114265, 118372, 77181, 13177, 118597, 16144, 109243, 28741, 16144, 105184, 33563, 10646, 71289, 13177, 82912, 108134, 16144, 123050, 10646, 104309, 29295, 16906, 111, 106624, 106045, 23187, 110731, 102677, 9174, 13177, 37271, 74482, 5486, 115963, 55487, 22023, 5486, 91774, 110074, 15024, 55487, 22023, 30512, 109935, 118482, 30046, 29295, 103350, 102923, 109768, 47884, 107803, 102052, 5486, 109935, 19732, 55487, 22023, 16144, 103496, 30832, 29295, 107188, 31431, 27552, 244, 11881, 100, 117084, 109749, 118844, 103296, 119775, 109935, 16144, 17620, 102212, 16144, 106045, 104063, 103378, 91774, 38144, 104984, 57980, 16995, 5486, 102677, 109606, 77181, 123733, 76947, 109749, 66383, 31809, 102138, 105514, 1811, 90620, 36896, 109935, 118482, 30046, 29295, 55487, 22023, 117824, 30297, 107803, 5486, 109935, 19732, 118597, 67645, 112384, 32149, 5486, 53900, 110176, 24273, 16144, 61304, 43032, 113115, 106608, 17663, 103854, 112495, 104865, 102677, 75146, 107253, 15682, 112185, 31958, 105184, 101983, 107462, 100604, 66383, 15024, 36896, 37271, 74482, 110382, 109853, 32977, 5486, 29504, 32977, 106624, 15682, 70821, 56965, 108638, 33014, 16144, 33710, 64178, 121960, 31958, 105184, 20230, 109768, 107188, 118145, 16995, 124324, 66383, 43032, 103854, 28713, 9174, 14711, 50550, 57326, 119539, 103906, 22398, 15682, 13177, 90962, 57326, 20251, 39880, 125916, 118587, 25580, 29172, 20230, 5486, 122617, 16144, 106826, 105048, 103927, 33710, 126567, 29295, 97518, 78183, 76947, 44416, 23187, 198, 124858, 117282, 115517, 30512, 122984, 56051, 30297, 58942, 16556, 116898, 57980, 16995, 57980, 104760, 104482, 15682, 13177, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 115181, 54926, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 18655, 121247, 16995, 123863, 57326, 119539, 103906, 22398, 10110, 424, 13, 17, 13, 15, 7705, 10646, 16144, 110135, 45829, 102416, 1811, 110382, 121960, 15682, 5486, 90962, 57326, 20251, 39880, 125916, 111848, 103984, 36735, 112, 77750, 16144, 115181, 30512, 25580, 29172, 20230, 104760, 105242, 29295, 103130, 62004, 125398, 102677, 9174, 31809, 102138, 105514, 15682, 36896, 57326, 119539, 103906, 22398, 16556, 25580, 29172, 19732, 110731, 104468, 5486, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 103984, 36735, 112, 119526, 30512, 110226, 43167, 54926, 5486, 110226, 43167, 56051, 119526, 30512, 5486, 121568, 30512, 66378, 23187, 118765, 44620, 66776, 121568, 108134, 36761, 103306, 121247, 30297, 5486, 102677, 28542, 1811, 108008, 20230, 16906, 111, 102800, 102057, 249, 31431, 109846, 5486, 116900, 20230, 16995, 116285, 66776, 121568, 108134, 109860, 127105, 5486, 90962, 57326, 20251, 39880, 125916, 16556, 110226, 43167, 108608, 66383, 102158, 30369, 9174, 13177, 44416, 23187, 114556, 78183, 30369, 112973, 109935, 118482, 30046, 104309, 57326, 108748, 104930, 11972, 103378, 77181, 33334, 46034, 109466, 31431, 117084, 114732, 66383, 31809, 102138, 105514, 109807, 103846, 110371, 57326, 119539, 103906, 117718, 44416, 23187, 20230, 30591, 28713, 76947, 15682, 108936, 112686, 108638, 122491, 109935, 64810, 123283, 37823, 103906, 120690, 10110, 50, 47572, 7705, 19732, 102212, 101634, 110022, 40862, 121224, 29295, 123357, 91077, 121711, 5486, 109935, 91077, 16144, 102717, 111201, 102208, 108900, 16144, 19361, 109375, 30046, 71289, 33420, 106382, 112919, 106691, 30046, 5486, 39850, 38248, 104, 38248, 226, 70821, 54322, 89046, 5486, 102663, 121294, 111926, 89046, 107808, 5486, 108581, 78519, 109935, 108975, 38093, 123160, 118482, 30046, 108638, 33014, 29295, 110284, 1811, 122270, 90962, 52884, 103988, 112164, 11972, 103306, 98499, 105525, 116491, 61337, 71289, 120115, 108134, 112113, 106518, 101275, 108975, 38093, 10110, 41429, 64286, 65459, 122270, 101721, 33035, 71289, 102216, 78943, 104509, 71016, 39850, 125380, 80805, 84477, 96452, 106240, 104309, 108285, 58655, 108695, 5486, 110022, 102781, 66870, 32977, 21601, 78183, 103836, 102677, 9174, 13177, 10110, 109935, 91077, 121142, 7705, 33334, 46034, 109466, 111331, 104284, 46034, 26854, 33710, 64178, 126694, 103836, 113334, 126194, 5486, 65854, 114181, 34171, 114792, 59739, 57326, 108748, 104930, 11972, 29295, 110284, 15024, 127359, 33710, 78459, 106826, 105048, 103927, 33710, 99959, 107610, 42634, 64810, 22398, 30512, 103350, 102321, 103792, 66383, 31809, 102138, 105514, 66327, 60632, 104698, 116690, 30046, 29295, 50834, 43514, 127842, 15120, 104509, 20230, 38093, 39926, 33710, 64178, 126694, 103836, 66383, 104195, 104873, 56051, 9174, 14711, 50550, 103984, 36735, 112, 119526, 106596, 16144, 104983, 15682, 13177, 121568, 66378, 23187, 109947, 117120, 22649, 10646, 121409, 13177, 119526, 115181, 34048, 113112, 16144, 113849, 106627, 118587, 17599, 117, 104792, 198, 13177, 10110, 103984, 36735, 112, 112919, 126794, 30512, 32018, 62004, 100604, 7705, 90962, 57326, 20251, 39880, 125916, 16556, 103350, 102923, 54926, 107803, 72661, 5486, 109935, 91077, 120332, 77181, 107188, 31431, 126128, 44416, 112535, 107740, 113173, 30512, 119379, 15024, 5486, 108167, 121247, 33334, 30297, 102677, 118733, 33710, 64178, 126694, 103836, 66383, 31809, 102138, 105514, 109807, 110322, 31958, 103306, 5486, 118789, 109904, 108152, 61398, 126465, 30512, 123680, 102639, 28713, 9174, 103984, 36735, 112, 119526, 16144, 106596, 20230, 30591, 115926, 5486, 103984, 36735, 112, 112919, 80356, 108134, 30512, 47000, 58318, 54926, 113009, 48915, 34048, 55031, 80805, 124643, 119526, 30512, 115181, 54926, 109215, 107407, 29295, 115847, 114475, 76622, 18655, 30369, 104983, 102052, 24186, 16144, 121568, 108134, 29295, 84851, 23187, 118765, 83799, 20230, 117120, 22649, 103646, 121894, 103195, 100909, 19732, 15024, 108048, 30512, 120273, 103664, 50667, 16556, 31958, 105184, 20230, 106045, 23187, 54926, 101200, 104577, 102781, 122382, 100934, 102677, 9174, 122270, 36896, 108895, 56051, 121894, 16556, 101682, 76622, 18655, 100472, 80805, 124643, 119526, 30512, 103984, 36735, 112, 119526, 19732, 104584, 50834, 114146, 30369, 104983, 102052, 44620, 119237, 102867, 40862, 34171, 29220, 104612, 119930, 75146, 107253, 36761, 30512, 23187, 107436, 126543, 54926, 66383, 31809, 102138, 105514, 66327, 118789, 112535, 95604, 19732, 5486, 121568, 108134, 115287, 119526, 30512, 121568, 108134, 16144, 105494, 19732, 102131, 16556, 100604, 105494, 20230, 2118, 17620, 106627, 39926, 108167, 121247, 30297, 863, 106592, 124260, 15024, 108048, 108422, 33121, 103283, 104680, 16144, 34048, 103722, 16556, 115181, 56051, 102944, 30512, 25580, 29172, 117408, 66383, 95604, 9174, 13177, 121568, 108134, 16144, 105514, 13372, 103378, 30512, 33420, 56051, 55031, 102083, 76947, 108048, 29295, 74245, 43514, 20230, 121568, 108134, 19732, 102971, 102802, 47000, 126660, 102677, 100909, 102052, 105110, 100604, 1811, 66776, 66378, 23187, 103195, 106592, 106529, 33563, 54926, 103846, 5486, 121568, 108134, 30512, 108167, 121247, 30297, 34048, 113112, 19732, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 30512, 108167, 121247, 30297, 34048, 113112, 30512, 31958, 105184, 20230, 17620, 105784, 66383, 31809, 102138, 105514, 66327, 113160, 49988, 30046, 5486, 126913, 30046, 29295, 77693, 108422, 33121, 16144, 119526, 102416, 50021, 106483, 39880, 122086, 22398, 118765, 121894, 117408, 1811, 110904, 20230, 121606, 103306, 17620, 105784, 102677, 100909, 126194, 5486, 123141, 5486, 33710, 64178, 17905, 16556, 10110, 119526, 16144, 115181, 119318, 116310, 30512, 7705, 21105, 96, 107277, 119379, 54926, 101200, 106045, 23187, 103792, 66383, 102158, 100472, 9174, 14711, 50550, 103984, 36735, 112, 119526, 16144, 18655, 121247, 55031, 108285, 58655, 55487, 22023, 103296, 13177, 122617, 109935, 91077, 32943, 16556, 103350, 102923, 54926, 10646, 101200, 106045, 23187, 198, 13177, 44620, 109935, 91077, 29295, 40452, 54926, 102616, 55031, 119526, 30512, 48915, 117158, 30813, 100604, 36761, 105908, 5486, 103984, 36735, 112, 119526, 108167, 121247, 117714, 27384, 104721, 107693, 26854, 120098, 66383, 31809, 102138, 105514, 66327, 119526, 16144, 115181, 55031, 108048, 20230, 75146, 109669, 47884, 44971, 47260, 39850, 102860, 5486, 108285, 58655, 30177, 109835, 20230, 102334, 30369, 103296, 5486, 122617, 109935, 91077, 16144, 40452, 17297, 16556, 23039, 126832, 104466, 54926, 66383, 95604, 9174, 44971, 47260, 39850, 102860, 117824, 30297, 104983, 5486, 103984, 36735, 112, 119526, 20230, 21601, 58942, 5486, 19360, 113245, 34273, 110, 111182, 119526, 102083, 100472, 104466, 39850, 125380, 30512, 109203, 64889, 54926, 119526, 42016, 101559, 30512, 115856, 76622, 114146, 30369, 126465, 115991, 106116, 104983, 20230, 47307, 38248, 110 ]
[ 103906, 94550, 11883, 16144, 62903, 114228, 108337, 103306, 21265, 10110, 108152, 38248, 114, 11972, 79982, 106968, 20230, 61304, 108565, 107001, 121568, 109375, 103283, 119526, 7705, 71289, 926, 3711, 10110, 8887, 369, 2467, 10429, 388, 5232, 122060, 33710, 29295, 108152, 38248, 114, 11972, 79982, 106968, 20230, 93488, 99959, 91062, 20230, 111017, 31431, 40265, 125655, 108285, 58655, 11883, 121568, 109375, 103283, 45829, 7705, 104309, 30512, 38129, 54926, 107803, 107407, 109807, 104983, 36896, 109375, 103283, 121240, 116602, 20834, 30512, 59614, 101860, 109935, 91077, 32943, 16556, 103350, 102923, 54926, 66383, 101200, 106045, 23187, 1811, 122270, 5486, 119526, 43167, 82420, 55031, 108285, 58655, 55487, 22023, 114556, 78183, 30369, 91832, 10110, 82127, 17072, 17916, 5232, 108285, 58655, 55487, 22023, 125540, 67075, 108526, 103202, 7705, 9458, 1242, 47, 10110, 52396, 17072, 17916, 5232, 108285, 58655, 20119, 254, 40452, 125540, 67075, 108526, 103202, 7705, 9458, 39880, 45923, 60868, 112164, 11972, 20230, 102334, 30369, 103296, 13177, 109935, 91077, 5486, 125845, 109935, 91077, 16144, 40452, 17297, 117083, 118482, 30046, 29295, 103768, 112167, 54926, 10646, 106592, 23187, 62004, 100934, 102677, 9174, 13177, 109935, 91077, 16144, 40452, 17297, 117083, 118482, 30046, 107118, 5486, 109935, 91077, 55031, 103087, 35330, 28190, 9458, 17792, 30926, 28190, 104309, 16556, 104195, 16995, 117375, 114475, 76622, 100934, 104309, 15024, 5486, 119526, 16144, 18655, 121247, 30512, 109431, 102769, 20230, 123113, 108608, 118482, 30046, 30512, 95604, 66383, 31809, 102138, 105514, 66327, 10110, 118482, 30046, 29295, 101682, 105784, 5486, 40452, 30046, 28713, 30369, 109935, 91077, 16144, 7705, 117375, 123457, 108056, 19732, 48915, 34048, 113115, 39926, 20379, 17663, 105908, 108608, 121894, 16556, 91832, 9458, 1242, 47, 116806, 45923, 60868, 112164, 11972, 102677, 16144, 30512, 121507, 15024, 5486, 40452, 54926, 101200, 31958, 20379, 103792, 66383, 102158, 100472, 9174, 13177, 44620, 108285, 58655, 926, 30512, 110968, 17663, 103378, 118816, 120267, 106272, 5486, 109935, 91077, 110366, 15682, 102159, 104680, 16144, 103984, 36735, 112, 30046, 29295, 67645, 16144, 108285, 58655, 104088, 28713, 32149, 102178, 111665, 103082, 38144, 114732, 16144, 111769, 32149, 36761, 102677, 104760, 105242, 29295, 108975, 104760, 38093, 107809, 72661, 30591, 29295, 100472, 66383, 16144, 100909, 1811, 67016, 21105, 241, 33121, 30512, 106529, 33563, 54926, 103846, 36896, 119526, 20230, 96412, 17129, 104028, 103984, 36735, 112, 112919, 80356, 30512, 84851, 53283, 15024, 50928, 30369, 108134, 30512, 32335, 31809, 48249, 117408, 10646, 106045, 23187, 30512, 121536, 119188, 102677, 9174, 13177, 55487, 22023, 118482, 30046, 20230, 110968, 17663, 108134, 15682, 32335, 31809, 48249, 117657, 66383, 31809, 102138, 105514, 1811, 108285, 58655, 55487, 22023, 20230, 30591, 28713, 76947, 15682, 36896, 58254, 252, 31431, 104526, 17129, 103468, 10110, 121568, 66378, 23187, 107294, 106272, 100604, 7705, 926, 19732, 5486, 107167, 76739, 25197, 103906, 52884, 116771, 118587, 121247, 16995, 5486, 47307, 38248, 110, 103906, 94550, 16144, 124122, 109375, 103283, 45829, 109853, 32977, 13177, 21980, 236, 11883, 112535, 11883, 16995, 125398, 926, 30512, 38129, 21105, 103, 16995, 66383, 23187, 104577, 56051, 31431, 5486, 102208, 91077, 29295, 103984, 36735, 112, 119526, 30512, 55999, 11883, 56051, 31431, 54926, 65316, 16144, 926, 16144, 121247, 16995, 109853, 5486, 113801, 106307, 50834, 111800, 118219, 30512, 106307, 76622, 100934, 66383, 95604, 9174, 14711, 50550, 109474, 91077, 56965, 113245, 103984, 36735, 112, 119526, 55999, 11883, 5486, 111234, 52884, 116229, 113245, 90962, 57326, 20251, 39880, 125916, 81742, 32943, 1981, 52591, 76428, 111926, 16144, 30926, 27452, 198, 64810, 26269, 104272, 16144, 74482, 103268, 77181, 5486, 52591, 76428, 111926, 101704, 33563, 76505, 105514, 29295, 5486, 37026, 61337, 118823, 102756, 105048, 9458, 37, 2507, 10110, 77845, 7910, 8304, 744, 7705, 109474, 102208, 91077, 119046, 16556, 103350, 102923, 103792, 103984, 36735, 112, 119526, 76706, 11883, 16144, 30926, 27452, 30512, 126362, 1811, 112599, 13177, 37, 2507, 21601, 107808, 91077, 37087, 38144, 16144, 109935, 91077, 16556, 5486, 42634, 38248, 104, 33710, 107507, 91062, 30512, 96412, 109013, 37087, 38144, 16144, 120706, 16556, 66776, 66378, 23187, 16144, 103984, 36735, 112, 123259, 114172, 16144, 110226, 43167, 30512, 111671, 103792, 66383, 95604, 9174, 13177, 102208, 109935, 91077, 29295, 103984, 36735, 112, 119526, 16144, 110226, 43167, 36668, 33014, 121711, 5486, 37, 2507, 29295, 33563, 19361, 54926, 110226, 43167, 75146, 114457, 20230, 43167, 103664, 15024, 5486, 109474, 91077, 16556, 119046, 107740, 109768, 47884, 102677, 106548, 103214, 64121, 101983, 103836, 66383, 122984, 1811, 120098, 15682, 5486, 102208, 42634, 38248, 104, 33710, 91077, 29295, 36668, 33014, 103195, 100909, 118844, 15682, 5486, 42634, 38248, 104, 33710, 91077, 15682, 112599, 106613, 112167, 112535, 16906, 111, 102800, 110229, 32977, 57903, 5486, 108895, 16995, 100472, 127749, 17297, 16556, 13177, 119526, 16144, 60632, 76706, 11883, 30512, 84851, 103130, 15024, 5486, 68408, 76428, 122258, 68759, 38248, 109, 103906, 94550, 30512, 76706, 11883, 54926, 118733, 5486, 109935, 91077, 103306, 16144, 123726, 108618, 31431, 30512, 77693, 108422, 33121, 16144, 109935, 76739, 104612, 16144, 119208, 66378, 34171, 20230, 56051, 29295, 76947, 113727, 100481, 47884, 66383, 102158, 30369, 9174, 13177, 28713, 19732, 116285, 54846, 127303, 104984, 103984, 36735, 112, 112919, 119526, 15682, 15120, 24186, 112535, 115442, 76947, 109749, 29295, 123085, 16144, 109935, 107338, 16144, 66378, 34171, 103306, 108048, 108422, 33121, 10110, 102208, 119208, 16144, 109935, 15682, 5486, 104817, 13153, 96412, 107436, 7705, 102208, 30590, 16144, 109935, 91077, 29295, 36668, 33014, 104856, 76947, 23039, 103836, 66383, 101704, 33563, 76505, 105514, 66327, 109474, 102208, 91077, 16556, 21105, 96, 107277, 19732, 112361, 112113, 75146, 107253, 5486, 112361, 41007, 5486, 112361, 33710, 64178, 30512, 106529, 33563, 39926, 103984, 36735, 112, 119526, 30512, 43167, 109315, 105908, 27384, 112495, 111681, 104482, 66383, 21105, 103, 29295, 33503, 32977, 36896, 52591, 76428, 111926, 55031, 111717, 121254, 107441, 42016, 15120, 82973, 115351, 20230, 109935, 103792, 120706, 16144, 103984, 36735, 112, 119526, 30512, 10110, 109474, 91077, 56965, 16556, 7705, 119046, 107740, 15024, 5486, 111717, 16144, 37087, 38144, 16144, 103984, 36735, 112, 112919, 103984, 36735, 112, 91875, 70141, 29295, 78183, 117295, 101200, 108176, 66383, 106116, 39850, 37823, 67075, 30512, 122765, 36896, 102208, 119208, 16144, 42634, 38248, 104, 33710, 91077, 29295, 5486, 42634, 38248, 104, 33710, 115351, 32977, 96412, 107436, 37026, 61337, 16144, 76739, 104612, 16144, 103984, 36735, 112, 91875, 70141, 30512, 102178, 111665, 54926, 102677, 28542, 32977, 105104, 47884, 62004, 5486, 110176, 113663, 16556, 77413, 87447, 109768, 47884, 66383, 58426, 24273, 13393, 251, 30512, 102158, 100472, 9174, 122270, 101704, 33563, 76505, 105514, 15682, 5486, 103984, 36735, 112, 119526, 115181, 20230, 30591, 28713, 76947, 16144, 103984, 36735, 112, 30046, 113115, 54926, 113954, 113096, 103130, 16144, 124122, 102923, 105226, 30512, 126362, 1811, 112599, 5486, 52591, 76428, 111926, 16144, 111234, 52884, 116229, 126250, 103984, 36735, 112, 119526, 16144, 108167, 121247, 16995, 89154, 37823, 120404, 30512, 123011, 109013, 103927, 103202, 122481, 126694, 13153, 15024, 5486, 33563, 36651, 116245, 5486, 107740, 113173, 107740, 41007, 109853, 58655, 53283, 117824, 103836, 102677, 9174, 13177, 108729, 9554, 102052, 111926, 79982, 106968, 17905, 16556, 90962, 57326, 20251, 39880, 125916, 30512, 103350, 23039, 109768, 90620, 47884, 100909, 108176, 103846, 5486, 103927, 103202, 122481, 17905, 16556, 91875, 55723, 30512, 33035, 100204, 38144, 58426, 46034, 110480, 30512, 104257, 121370, 20230, 48154, 122984, 103792, 66383, 101704, 33563, 76505, 105514, 1811, 64810, 26269, 104272, 77181, 103350, 104983, 20230, 58426, 44915, 29295, 126362, 84389, 5486, 111926, 16144, 119526, 109935, 55723, 28190, 30512, 41190, 39926, 103984, 36735, 112, 119526, 16144, 115181, 30512, 90962, 57326, 20251, 39880, 125916, 54926, 103296, 16144, 46034, 110480, 30512, 96452, 44971, 38248, 115, 78205, 16073, 59739, 50834, 16556, 81742, 32943, 54926, 103826, 45829, 29295, 54322, 106482, 103646, 9174, 14711, 50550, 103984, 36735, 112, 112919, 60632, 102924, 34171, 19732, 109935, 91077, 16144, 110226, 105576, 70141, 17905, 30512, 110176, 80195, 124545, 125175, 102923, 105226, 102416, 198, 37271, 18904, 16144, 57326, 119539, 103906, 22398, 30512, 123927, 104196, 31431, 36896, 21105, 96, 107277, 10110, 109935, 91077, 109054, 45923, 29295, 7705, 46034, 40265, 38144, 30512, 109768, 104984, 5486, 103984, 36735, 112, 112919, 64121, 26854, 98369, 32977, 101682, 76622, 17701, 106824, 124089, 16144, 111769, 32149, 5486, 102677, 44971, 115882, 30512, 110382, 103296, 108882, 64121, 109415, 38144, 22957, 109115, 66383, 31809, 102138, 105514, 66327, 33334, 32149, 21105, 103, 106592, 109134, 118482, 30046, 125334, 111243, 124620, 33710, 64178, 108010, 95543, 36761, 102677, 105242, 22649, 20230, 75146, 109669, 102532, 117903, 55031, 61056, 21418, 54926, 105908, 108608, 59459, 109935, 91077, 15682, 7705, 51330, 57326, 119539, 103906, 22398, 20230, 75146, 109669, 102532, 105509, 20230, 103984, 36735, 112, 119526, 30512, 121247, 107462, 104533, 110322, 31958, 108608, 109335, 110745, 104721, 27384, 112495, 123655, 108176, 66383, 111140, 30512, 105714, 30369, 9174, 13177, 103984, 36735, 112, 112919, 24273, 29295, 104908, 109768, 90620, 102334, 119526, 30512, 5486, 103984, 36735, 112, 112919, 60632, 102924, 34171, 70141, 17905, 16144, 113009, 109818, 24186, 109768, 105898, 16995, 66383, 101704, 33563, 76505, 105514, 66327, 124773, 123437, 67075, 16144, 55487, 22023, 118482, 30046, 121944, 23039, 103836, 10110, 47260, 108304, 119495, 16144, 7705, 44971, 47260, 39850, 102860, 30512, 103984, 36735, 112, 119526, 124905, 76947, 103350, 104983, 20230, 118765, 108995, 32149, 66383, 125494, 30512, 16144, 108422, 32149, 122101, 66327, 28713, 19732, 116285, 5486, 37026, 61337, 16144, 55487, 22023, 125175, 44620, 37, 2114, 36761, 19732, 103214, 64121, 114146, 5486, 28713, 19732, 116285, 111926, 16556, 91774, 110074, 39926, 114604, 115173, 68759, 16144, 55487, 22023, 30512, 81742, 32943, 54926, 66383, 101704, 33563, 76505, 105514, 66327, 103984, 36735, 112, 112919, 60632, 102924, 34171, 70141, 17905, 19732, 109935, 91077, 16144, 110226, 105576, 70141, 17905, 30512, 110176, 80195, 124545, 105933, 125175, 102923, 105226, 30512, 113727, 100481, 105898, 16995, 66383, 102158, 100472, 9174, 13177, 22, 9953, 966, 117816, 44620, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 115181, 54926, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 18655, 121247, 16995, 123863, 57326, 119539, 103906, 22398, 10110, 424, 13, 17, 13, 15, 7705, 36761, 29295, 35417, 21405, 116216, 55031, 115847, 103378, 16144, 87177, 30512, 35417, 16144, 75267, 16556, 103082, 28713, 104468, 85707, 107436, 77181, 66383, 111405, 101129, 105514, 66327, 85701, 55031, 32977, 104760, 105242, 15682, 106307, 16995, 100481, 47884, 119150, 29295, 106116, 20834, 102404, 28542, 29295, 110589, 102677, 110229, 20230, 103082, 104984, 66383, 5486, 64810, 26269, 104272, 30512, 126233, 62004, 47884, 47884, 100472, 1811, 128001, 128000, 78683, 62903, 91482, 20230, 126521, 19732, 117952, 104028, 125764, 53953, 15682, 121771, 98369, 48706, 78434, 109900, 33503, 29295, 126920, 126521, 102944, 26854, 104865, 30512, 104873, 115694, 64121, 79721, 9174, 119008, 15682, 103242, 117434, 25446, 111769, 105879, 108048, 110904, 33014, 30512, 102456, 115694, 78683, 62903, 91482, 71289, 114408, 50834, 20834, 53953, 29295, 105184, 103350, 20230, 71005, 30369, 113334, 77181, 124897, 29295, 111476, 103911, 103181, 71289, 23226, 106594, 30512, 125494, 103082, 120550, 102456, 103234, 15682, 43240, 9039, 48706, 127145, 9174, 110924, 16556, 108048, 33503, 30512, 104873, 115694, 112825, 110904, 20230, 123011, 107436, 64121, 79721, 9174, 30832, 33671, 198, 567, 115538, 62903, 91482, 16144, 23226, 106594, 20230, 126521, 119008, 16144, 102647, 102802, 24273, 198, 33334, 120044, 20230, 126521, 102944, 15682, 5486, 78683, 62903, 91482, 16144, 23226, 106594, 105352, 107734, 80195, 59739, 116497, 38641, 9174, 28713, 19732, 116285, 5486, 101921, 116, 32943, 117501, 30512, 64531, 105262, 119008, 115991, 33541, 1811, 101921, 116, 32943, 117501, 29295, 103424, 115737, 104533, 198, 102924, 109243, 16144, 23226, 106594, 29295, 125683, 64121, 5486, 33014, 123727, 21980, 248, 33121, 29295, 33014, 48915, 102416, 61056, 20834, 107001, 105879, 33334, 125683, 62004, 9174, 127880, 106613, 111186, 119627, 5486, 60868, 103223, 68759, 25197, 102494, 29295, 102924, 109243, 20230, 126521, 19732, 117952, 106824, 125764, 27704, 107436, 5486, 124059, 32149, 17, 9080, 108680, 16556, 33334, 33035, 100204, 29295, 23226, 106594, 84389, 79721, 1811, 125764, 28713, 60868, 103223, 68759, 25197, 102494, 15682, 114318, 47884, 20230, 103721, 232, 109205, 105284, 29295, 43240, 47884, 102924, 29295, 123011, 109709, 126172, 16995, 112973, 8239, 114503, 122291, 19732, 112391, 127280, 9174, 125764, 102944, 33671, 30537, 16556, 108948, 120044, 105352, 126521, 117375, 29295, 82317, 104369, 32149, 110241, 33121, 107515, 9174, 103048, 115075, 121432, 29295, 70141, 17905, 39926, 15308, 226, 113598, 72238, 16144, 107246, 110226, 29295, 23226, 106594, 84389, 104533, 5486, 107399, 234, 29295, 50834, 33121, 119178, 1811, 78683, 62903, 91482, 71289, 114408, 50834, 20834, 53953, 16556, 101128, 102, 104004, 114754, 112673, 38248, 108, 108958, 104309, 30512, 125764, 30369, 112973, 126521, 19732, 107001, 104468, 58426, 103846, 38641, 9174, 77181, 5486, 78683, 62903, 91482, 20230, 126521, 119008, 15682, 104405, 95604, 75146, 107253, 16556, 102647, 103854, 81219, 126521, 104865, 5486, 110480, 87217, 126365, 100481, 47884, 120266, 103801, 109954, 9174, 14711, 106369, 120044, 16144, 31640, 118835, 30512, 45736, 109315, 119008, 198, 105268, 104196, 30369, 102677, 104468, 5486, 111482, 16144, 105243, 110596, 16144, 57933, 108941, 119627, 5486, 105268, 47884, 91774, 105262, 110115, 103558, 97, 16995, 15682, 19732, 111243, 107693, 102083, 78183, 106824, 61689, 9174, 108936, 112535, 111476, 120044, 16144, 103558, 97, 16995, 30512, 50928, 30369, 102052, 91482, 47307, 101198, 16073, 32, 29295, 43240, 47884, 96412, 17129, 104028, 119008, 30512, 99046, 224, 30369, 104466, 28194, 101, 119680, 116216, 61689, 118844, 30512, 109215, 33857, 30512, 114392, 125030, 104533, 5486, 120044, 16144, 103558, 97, 16995, 29295, 23226, 106594, 84389, 33541, 9174, 33334, 120044, 114556, 108826, 103470, 111243, 125764, 106956, 31195, 198, 14711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103906, 94550, 11883, 16144, 62903, 114228, 108337, 103306, 21265, 10110, 108152, 38248, 114, 11972, 79982, 106968, 20230, 61304, 108565, 107001, 121568, 109375, 103283, 119526, 7705, 71289, 926, 3711, 10110, 8887, 369, 2467, 10429, 388, 5232, 122060, 33710, 29295, 108152, 38248, 114, 11972, 79982, 106968, 20230, 93488, 99959, 91062, 20230, 111017, 31431, 40265, 125655, 108285, 58655, 11883, 121568, 109375, 103283, 45829, 7705, 104309, 30512, 38129, 54926, 107803, 107407, 109807, 104983, 36896, 109375, 103283, 121240, 116602, 20834, 30512, 59614, 101860, 109935, 91077, 32943, 16556, 103350, 102923, 54926, 66383, 101200, 106045, 23187, 1811, 122270, 5486, 119526, 43167, 82420, 55031, 108285, 58655, 55487, 22023, 114556, 78183, 30369, 91832, 10110, 82127, 17072, 17916, 5232, 108285, 58655, 55487, 22023, 125540, 67075, 108526, 103202, 7705, 9458, 1242, 47, 10110, 52396, 17072, 17916, 5232, 108285, 58655, 20119, 254, 40452, 125540, 67075, 108526, 103202, 7705, 9458, 39880, 45923, 60868, 112164, 11972, 20230, 102334, 30369, 103296, 13177, 109935, 91077, 5486, 125845, 109935, 91077, 16144, 40452, 17297, 117083, 118482, 30046, 29295, 103768, 112167, 54926, 10646, 106592, 23187, 62004, 100934, 102677, 9174, 13177, 109935, 91077, 16144, 40452, 17297, 117083, 118482, 30046, 107118, 5486, 109935, 91077, 55031, 103087, 35330, 28190, 9458, 17792, 30926, 28190, 104309, 16556, 104195, 16995, 117375, 114475, 76622, 100934, 104309, 15024, 5486, 119526, 16144, 18655, 121247, 30512, 109431, 102769, 20230, 123113, 108608, 118482, 30046, 30512, 95604, 66383, 31809, 102138, 105514, 66327, 10110, 118482, 30046, 29295, 101682, 105784, 5486, 40452, 30046, 28713, 30369, 109935, 91077, 16144, 7705, 117375, 123457, 108056, 19732, 48915, 34048, 113115, 39926, 20379, 17663, 105908, 108608, 121894, 16556, 91832, 9458, 1242, 47, 116806, 45923, 60868, 112164, 11972, 102677, 16144, 30512, 121507, 15024, 5486, 40452, 54926, 101200, 31958, 20379, 103792, 66383, 102158, 100472, 9174, 13177, 44620, 108285, 58655, 926, 30512, 110968, 17663, 103378, 118816, 120267, 106272, 5486, 109935, 91077, 110366, 15682, 102159, 104680, 16144, 103984, 36735, 112, 30046, 29295, 67645, 16144, 108285, 58655, 104088, 28713, 32149, 102178, 111665, 103082, 38144, 114732, 16144, 111769, 32149, 36761, 102677, 104760, 105242, 29295, 108975, 104760, 38093, 107809, 72661, 30591, 29295, 100472, 66383, 16144, 100909, 1811, 67016, 21105, 241, 33121, 30512, 106529, 33563, 54926, 103846, 36896, 119526, 20230, 96412, 17129, 104028, 103984, 36735, 112, 112919, 80356, 30512, 84851, 53283, 15024, 50928, 30369, 108134, 30512, 32335, 31809, 48249, 117408, 10646, 106045, 23187, 30512, 121536, 119188, 102677, 9174, 13177, 55487, 22023, 118482, 30046, 20230, 110968, 17663, 108134, 15682, 32335, 31809, 48249, 117657, 66383, 31809, 102138, 105514, 1811, 108285, 58655, 55487, 22023, 20230, 30591, 28713, 76947, 15682, 36896, 58254, 252, 31431, 104526, 17129, 103468, 10110, 121568, 66378, 23187, 107294, 106272, 100604, 7705, 926, 19732, 5486, 107167, 76739, 25197, 103906, 52884, 116771, 118587, 121247, 16995, 5486, 47307, 38248, 110, 103906, 94550, 16144, 124122, 109375, 103283, 45829, 109853, 32977, 13177, 21980, 236, 11883, 112535, 11883, 16995, 125398, 926, 30512, 38129, 21105, 103, 16995, 66383, 23187, 104577, 56051, 31431, 5486, 102208, 91077, 29295, 103984, 36735, 112, 119526, 30512, 55999, 11883, 56051, 31431, 54926, 65316, 16144, 926, 16144, 121247, 16995, 109853, 5486, 113801, 106307, 50834, 111800, 118219, 30512, 106307, 76622, 100934, 66383, 95604, 9174, 14711, 50550, 109474, 91077, 56965, 113245, 103984, 36735, 112, 119526, 55999, 11883, 5486, 111234, 52884, 116229, 113245, 90962, 57326, 20251, 39880, 125916, 81742, 32943, 1981, 52591, 76428, 111926, 16144, 30926, 27452, 198, 64810, 26269, 104272, 16144, 74482, 103268, 77181, 5486, 52591, 76428, 111926, 101704, 33563, 76505, 105514, 29295, 5486, 37026, 61337, 118823, 102756, 105048, 9458, 37, 2507, 10110, 77845, 7910, 8304, 744, 7705, 109474, 102208, 91077, 119046, 16556, 103350, 102923, 103792, 103984, 36735, 112, 119526, 76706, 11883, 16144, 30926, 27452, 30512, 126362, 1811, 112599, 13177, 37, 2507, 21601, 107808, 91077, 37087, 38144, 16144, 109935, 91077, 16556, 5486, 42634, 38248, 104, 33710, 107507, 91062, 30512, 96412, 109013, 37087, 38144, 16144, 120706, 16556, 66776, 66378, 23187, 16144, 103984, 36735, 112, 123259, 114172, 16144, 110226, 43167, 30512, 111671, 103792, 66383, 95604, 9174, 13177, 102208, 109935, 91077, 29295, 103984, 36735, 112, 119526, 16144, 110226, 43167, 36668, 33014, 121711, 5486, 37, 2507, 29295, 33563, 19361, 54926, 110226, 43167, 75146, 114457, 20230, 43167, 103664, 15024, 5486, 109474, 91077, 16556, 119046, 107740, 109768, 47884, 102677, 106548, 103214, 64121, 101983, 103836, 66383, 122984, 1811, 120098, 15682, 5486, 102208, 42634, 38248, 104, 33710, 91077, 29295, 36668, 33014, 103195, 100909, 118844, 15682, 5486, 42634, 38248, 104, 33710, 91077, 15682, 112599, 106613, 112167, 112535, 16906, 111, 102800, 110229, 32977, 57903, 5486, 108895, 16995, 100472, 127749, 17297, 16556, 13177, 119526, 16144, 60632, 76706, 11883, 30512, 84851, 103130, 15024, 5486, 68408, 76428, 122258, 68759, 38248, 109, 103906, 94550, 30512, 76706, 11883, 54926, 118733, 5486, 109935, 91077, 103306, 16144, 123726, 108618, 31431, 30512, 77693, 108422, 33121, 16144, 109935, 76739, 104612, 16144, 119208, 66378, 34171, 20230, 56051, 29295, 76947, 113727, 100481, 47884, 66383, 102158, 30369, 9174, 13177, 28713, 19732, 116285, 54846, 127303, 104984, 103984, 36735, 112, 112919, 119526, 15682, 15120, 24186, 112535, 115442, 76947, 109749, 29295, 123085, 16144, 109935, 107338, 16144, 66378, 34171, 103306, 108048, 108422, 33121, 10110, 102208, 119208, 16144, 109935, 15682, 5486, 104817, 13153, 96412, 107436, 7705, 102208, 30590, 16144, 109935, 91077, 29295, 36668, 33014, 104856, 76947, 23039, 103836, 66383, 101704, 33563, 76505, 105514, 66327, 109474, 102208, 91077, 16556, 21105, 96, 107277, 19732, 112361, 112113, 75146, 107253, 5486, 112361, 41007, 5486, 112361, 33710, 64178, 30512, 106529, 33563, 39926, 103984, 36735, 112, 119526, 30512, 43167, 109315, 105908, 27384, 112495, 111681, 104482, 66383, 21105, 103, 29295, 33503, 32977, 36896, 52591, 76428, 111926, 55031, 111717, 121254, 107441, 42016, 15120, 82973, 115351, 20230, 109935, 103792, 120706, 16144, 103984, 36735, 112, 119526, 30512, 10110, 109474, 91077, 56965, 16556, 7705, 119046, 107740, 15024, 5486, 111717, 16144, 37087, 38144, 16144, 103984, 36735, 112, 112919, 103984, 36735, 112, 91875, 70141, 29295, 78183, 117295, 101200, 108176, 66383, 106116, 39850, 37823, 67075, 30512, 122765, 36896, 102208, 119208, 16144, 42634, 38248, 104, 33710, 91077, 29295, 5486, 42634, 38248, 104, 33710, 115351, 32977, 96412, 107436, 37026, 61337, 16144, 76739, 104612, 16144, 103984, 36735, 112, 91875, 70141, 30512, 102178, 111665, 54926, 102677, 28542, 32977, 105104, 47884, 62004, 5486, 110176, 113663, 16556, 77413, 87447, 109768, 47884, 66383, 58426, 24273, 13393, 251, 30512, 102158, 100472, 9174, 122270, 101704, 33563, 76505, 105514, 15682, 5486, 103984, 36735, 112, 119526, 115181, 20230, 30591, 28713, 76947, 16144, 103984, 36735, 112, 30046, 113115, 54926, 113954, 113096, 103130, 16144, 124122, 102923, 105226, 30512, 126362, 1811, 112599, 5486, 52591, 76428, 111926, 16144, 111234, 52884, 116229, 126250, 103984, 36735, 112, 119526, 16144, 108167, 121247, 16995, 89154, 37823, 120404, 30512, 123011, 109013, 103927, 103202, 122481, 126694, 13153, 15024, 5486, 33563, 36651, 116245, 5486, 107740, 113173, 107740, 41007, 109853, 58655, 53283, 117824, 103836, 102677, 9174, 13177, 108729, 9554, 102052, 111926, 79982, 106968, 17905, 16556, 90962, 57326, 20251, 39880, 125916, 30512, 103350, 23039, 109768, 90620, 47884, 100909, 108176, 103846, 5486, 103927, 103202, 122481, 17905, 16556, 91875, 55723, 30512, 33035, 100204, 38144, 58426, 46034, 110480, 30512, 104257, 121370, 20230, 48154, 122984, 103792, 66383, 101704, 33563, 76505, 105514, 1811, 64810, 26269, 104272, 77181, 103350, 104983, 20230, 58426, 44915, 29295, 126362, 84389, 5486, 111926, 16144, 119526, 109935, 55723, 28190, 30512, 41190, 39926, 103984, 36735, 112, 119526, 16144, 115181, 30512, 90962, 57326, 20251, 39880, 125916, 54926, 103296, 16144, 46034, 110480, 30512, 96452, 44971, 38248, 115, 78205, 16073, 59739, 50834, 16556, 81742, 32943, 54926, 103826, 45829, 29295, 54322, 106482, 103646, 9174, 14711, 50550, 103984, 36735, 112, 112919, 60632, 102924, 34171, 19732, 109935, 91077, 16144, 110226, 105576, 70141, 17905, 30512, 110176, 80195, 124545, 125175, 102923, 105226, 102416, 198, 37271, 18904, 16144, 57326, 119539, 103906, 22398, 30512, 123927, 104196, 31431, 36896, 21105, 96, 107277, 10110, 109935, 91077, 109054, 45923, 29295, 7705, 46034, 40265, 38144, 30512, 109768, 104984, 5486, 103984, 36735, 112, 112919, 64121, 26854, 98369, 32977, 101682, 76622, 17701, 106824, 124089, 16144, 111769, 32149, 5486, 102677, 44971, 115882, 30512, 110382, 103296, 108882, 64121, 109415, 38144, 22957, 109115, 66383, 31809, 102138, 105514, 66327, 33334, 32149, 21105, 103, 106592, 109134, 118482, 30046, 125334, 111243, 124620, 33710, 64178, 108010, 95543, 36761, 102677, 105242, 22649, 20230, 75146, 109669, 102532, 117903, 55031, 61056, 21418, 54926, 105908, 108608, 59459, 109935, 91077, 15682, 7705, 51330, 57326, 119539, 103906, 22398, 20230, 75146, 109669, 102532, 105509, 20230, 103984, 36735, 112, 119526, 30512, 121247, 107462, 104533, 110322, 31958, 108608, 109335, 110745, 104721, 27384, 112495, 123655, 108176, 66383, 111140, 30512, 105714, 30369, 9174, 13177, 103984, 36735, 112, 112919, 24273, 29295, 104908, 109768, 90620, 102334, 119526, 30512, 5486, 103984, 36735, 112, 112919, 60632, 102924, 34171, 70141, 17905, 16144, 113009, 109818, 24186, 109768, 105898, 16995, 66383, 101704, 33563, 76505, 105514, 66327, 124773, 123437, 67075, 16144, 55487, 22023, 118482, 30046, 121944, 23039, 103836, 10110, 47260, 108304, 119495, 16144, 7705, 44971, 47260, 39850, 102860, 30512, 103984, 36735, 112, 119526, 124905, 76947, 103350, 104983, 20230, 118765, 108995, 32149, 66383, 125494, 30512, 16144, 108422, 32149, 122101, 66327, 28713, 19732, 116285, 5486, 37026, 61337, 16144, 55487, 22023, 125175, 44620, 37, 2114, 36761, 19732, 103214, 64121, 114146, 5486, 28713, 19732, 116285, 111926, 16556, 91774, 110074, 39926, 114604, 115173, 68759, 16144, 55487, 22023, 30512, 81742, 32943, 54926, 66383, 101704, 33563, 76505, 105514, 66327, 103984, 36735, 112, 112919, 60632, 102924, 34171, 70141, 17905, 19732, 109935, 91077, 16144, 110226, 105576, 70141, 17905, 30512, 110176, 80195, 124545, 105933, 125175, 102923, 105226, 30512, 113727, 100481, 105898, 16995, 66383, 102158, 100472, 9174, 13177, 22, 9953, 966, 117816, 44620, 90962, 57326, 20251, 39880, 125916, 76868, 16556, 115181, 54926, 66776, 66378, 23187, 103984, 36735, 112, 123259, 114172, 16144, 18655, 121247, 16995, 123863, 57326, 119539, 103906, 22398, 10110, 424, 13, 17, 13, 15, 7705, 36761, 29295, 35417, 21405, 116216, 55031, 115847, 103378, 16144, 87177, 30512, 35417, 16144, 75267, 16556, 103082, 28713, 104468, 85707, 107436, 77181, 66383, 111405, 101129, 105514, 66327, 85701, 55031, 32977, 104760, 105242, 15682, 106307, 16995, 100481, 47884, 119150, 29295, 106116, 20834, 102404, 28542, 29295, 110589, 102677, 110229, 20230, 103082, 104984, 66383, 5486, 64810, 26269, 104272, 30512, 126233, 62004, 47884, 47884, 100472, 1811, 128001, 128000, 78683, 62903, 91482, 20230, 126521, 19732, 117952, 104028, 125764, 53953, 15682, 121771, 98369, 48706, 78434, 109900, 33503, 29295, 126920, 126521, 102944, 26854, 104865, 30512, 104873, 115694, 64121, 79721, 9174, 119008, 15682, 103242, 117434, 25446, 111769, 105879, 108048, 110904, 33014, 30512, 102456, 115694, 78683, 62903, 91482, 71289, 114408, 50834, 20834, 53953, 29295, 105184, 103350, 20230, 71005, 30369, 113334, 77181, 124897, 29295, 111476, 103911, 103181, 71289, 23226, 106594, 30512, 125494, 103082, 120550, 102456, 103234, 15682, 43240, 9039, 48706, 127145, 9174, 110924, 16556, 108048, 33503, 30512, 104873, 115694, 112825, 110904, 20230, 123011, 107436, 64121, 79721, 9174, 30832, 33671, 198, 567, 115538, 62903, 91482, 16144, 23226, 106594, 20230, 126521, 119008, 16144, 102647, 102802, 24273, 198, 33334, 120044, 20230, 126521, 102944, 15682, 5486, 78683, 62903, 91482, 16144, 23226, 106594, 105352, 107734, 80195, 59739, 116497, 38641, 9174, 28713, 19732, 116285, 5486, 101921, 116, 32943, 117501, 30512, 64531, 105262, 119008, 115991, 33541, 1811, 101921, 116, 32943, 117501, 29295, 103424, 115737, 104533, 198, 102924, 109243, 16144, 23226, 106594, 29295, 125683, 64121, 5486, 33014, 123727, 21980, 248, 33121, 29295, 33014, 48915, 102416, 61056, 20834, 107001, 105879, 33334, 125683, 62004, 9174, 127880, 106613, 111186, 119627, 5486, 60868, 103223, 68759, 25197, 102494, 29295, 102924, 109243, 20230, 126521, 19732, 117952, 106824, 125764, 27704, 107436, 5486, 124059, 32149, 17, 9080, 108680, 16556, 33334, 33035, 100204, 29295, 23226, 106594, 84389, 79721, 1811, 125764, 28713, 60868, 103223, 68759, 25197, 102494, 15682, 114318, 47884, 20230, 103721, 232, 109205, 105284, 29295, 43240, 47884, 102924, 29295, 123011, 109709, 126172, 16995, 112973, 8239, 114503, 122291, 19732, 112391, 127280, 9174, 125764, 102944, 33671, 30537, 16556, 108948, 120044, 105352, 126521, 117375, 29295, 82317, 104369, 32149, 110241, 33121, 107515, 9174, 103048, 115075, 121432, 29295, 70141, 17905, 39926, 15308, 226, 113598, 72238, 16144, 107246, 110226, 29295, 23226, 106594, 84389, 104533, 5486, 107399, 234, 29295, 50834, 33121, 119178, 1811, 78683, 62903, 91482, 71289, 114408, 50834, 20834, 53953, 16556, 101128, 102, 104004, 114754, 112673, 38248, 108, 108958, 104309, 30512, 125764, 30369, 112973, 126521, 19732, 107001, 104468, 58426, 103846, 38641, 9174, 77181, 5486, 78683, 62903, 91482, 20230, 126521, 119008, 15682, 104405, 95604, 75146, 107253, 16556, 102647, 103854, 81219, 126521, 104865, 5486, 110480, 87217, 126365, 100481, 47884, 120266, 103801, 109954, 9174, 14711, 106369, 120044, 16144, 31640, 118835, 30512, 45736, 109315, 119008, 198, 105268, 104196, 30369, 102677, 104468, 5486, 111482, 16144, 105243, 110596, 16144, 57933, 108941, 119627, 5486, 105268, 47884, 91774, 105262, 110115, 103558, 97, 16995, 15682, 19732, 111243, 107693, 102083, 78183, 106824, 61689, 9174, 108936, 112535, 111476, 120044, 16144, 103558, 97, 16995, 30512, 50928, 30369, 102052, 91482, 47307, 101198, 16073, 32, 29295, 43240, 47884, 96412, 17129, 104028, 119008, 30512, 99046, 224, 30369, 104466, 28194, 101, 119680, 116216, 61689, 118844, 30512, 109215, 33857, 30512, 114392, 125030, 104533, 5486, 120044, 16144, 103558, 97, 16995, 29295, 23226, 106594, 84389, 33541, 9174, 33334, 120044, 114556, 108826, 103470, 111243, 125764, 106956, 31195, 198, 14711 ]
[ 107399, 234, 118448, 33121, 103181, 82533, 102052, 91482, 47307, 101198, 16073, 33, 104336, 29295, 126521, 198, 91482, 47307, 101198, 16073, 33, 104336, 15682, 120044, 118448, 33121, 103181, 82533, 20230, 107734, 118013, 33541, 9174, 86127, 32977, 198, 40526, 32943, 114052, 29295, 106084, 126172, 102518, 105879, 5486, 103856, 47884, 71005, 17663, 113009, 91482, 47307, 101198, 16073, 33, 17, 30512, 96412, 102189, 60868, 115507, 73590, 30512, 44309, 11883, 112990, 5486, 48785, 9080, 16556, 121602, 47884, 39607, 23226, 106594, 56051, 106613, 111186, 29295, 99849, 27479, 32149, 57903, 33541, 9174, 91482, 47307, 101198, 16073, 33, 17, 15682, 5486, 30297, 26854, 105557, 19732, 57942, 251, 5486, 44510, 248, 9458, 165, 114, 237, 44971, 110590, 5486, 108446, 117203, 5486, 17129, 102334, 76622, 5486, 165, 107, 244, 16144, 53610, 101851, 106, 104309, 9174, 14711, 68042, 32131, 38248, 110, 16073, 30512, 115079, 71289, 39926, 124089, 91482, 47307, 101198, 16073, 34, 95532, 91482, 47307, 101198, 16073, 34, 15682, 57207, 101198, 16144, 102404, 21990, 30512, 126128, 105262, 122502, 50834, 115991, 33541, 9174, 85701, 15682, 127194, 78683, 16073, 7, 57207, 101198, 16144, 39135, 16144, 72238, 120950, 102944, 120732, 45059, 30512, 126128, 44416, 54926, 118733, 53283, 124195, 61689, 9174, 111482, 125030, 76947, 95221, 108176, 108134, 103306, 15682, 5486, 120044, 16144, 102040, 37823, 16144, 72238, 108176, 47260, 32131, 38248, 110, 16073, 15682, 91482, 47307, 101198, 16073, 34, 107407, 55031, 19732, 117952, 104028, 120264, 111476, 124490, 32149, 72342, 100604, 15308, 226, 113598, 72238, 16144, 20713, 59739, 9174, 14711, 93598, 104196, 111331, 91482, 47307, 101198, 16073, 36, 76947, 95532, 91482, 47307, 101198, 16073, 36, 15682, 5486, 118899, 5486, 18904, 108436, 117539, 65743, 104309, 72661, 33334, 26854, 100204, 64121, 16144, 39880, 103672, 71493, 45923, 104309, 20230, 96412, 17129, 106824, 61689, 9174, 51330, 91482, 47307, 101198, 16073, 36, 32977, 111482, 59614, 91774, 16144, 105268, 104196, 111331, 91482, 47307, 101198, 16073, 19732, 117952, 104028, 105879, 5486, 112371, 104328, 109215, 33857, 15682, 99046, 224, 18655, 39926, 111654, 102800, 38641, 9174, 51330, 104466, 39926, 64121, 100481, 126145, 5486, 30297, 26854, 105557, 15682, 15308, 226, 113598, 95001, 29295, 45736, 126145, 111243, 126521, 102456, 103234, 26854, 112973, 78183, 107277, 33541, 1811, 72661, 60358, 8107, 5486, 78256, 223, 112682, 33857, 29295, 106266, 114485, 103792, 105879, 5486, 121374, 29295, 45736, 105522, 108, 103792, 112973, 108618, 104611, 38641, 9174, 30297, 26854, 3574, 120, 5486, 30297, 26854, 30358, 5486, 104328, 59739, 17129, 104369, 15024, 31195, 111575, 38641, 106609, 14711, 112084, 115695, 29220, 105284, 32977, 107693, 26854, 48706, 198, 112727, 106824, 112987, 124324, 104468, 198, 119049, 107079, 5486, 104398, 112506, 16144, 53229, 42506, 117282, 47307, 115695, 29220, 105284, 1811, 117203, 104770, 105352, 43240, 47884, 96412, 17129, 106824, 61689, 1811, 106826, 38248, 255, 104309, 33334, 107079, 105352, 28713, 108005, 115, 111842, 96412, 17129, 106824, 61689, 9174, 115638, 16144, 119400, 15682, 118104, 103429, 104309, 30512, 111098, 105784, 113009, 107079, 30512, 111098, 107441, 115371, 30512, 43240, 47884, 125764, 30369, 108710, 101557, 96, 29295, 103082, 28713, 17792, 104680, 29295, 122603, 106036, 95, 30046, 117084, 102780, 16144, 119049, 107079, 29295, 114485, 83747, 39926, 121120, 28713, 50834, 31431, 108176, 30926, 107328, 105352, 26854, 76947, 61689, 9174, 121496, 105284, 32977, 37087, 47884, 111098, 105784, 16144, 126194, 111476, 109431, 27479, 20230, 99046, 224, 110104, 19732, 120044, 29295, 71493, 60868, 71493, 60868, 16144, 113385, 115717, 33541, 9174, 33334, 107079, 30512, 125764, 104533, 50834, 15682, 5486, 48154, 114053, 30512, 103851, 105262, 104466, 126693, 117587, 105284, 16144, 107246, 110226, 30512, 41758, 26269, 19732, 126128, 58942, 110071, 105879, 5486, 124807, 76739, 67075, 123410, 24273, 30512, 104356, 107898, 125683, 62004, 38641, 9174, 163, 65620, 53610, 33208, 53953, 30512, 71493, 67075, 39926, 121496, 96356, 30512, 111098, 76622, 108948, 107079, 30512, 125764, 104533, 101576, 102, 122101, 103350, 111186, 32977, 19653, 127145, 1811, 32938, 115867, 30832, 29295, 57933, 16073, 104309, 72661, 126362, 116216, 61689, 9174, 90620, 15024, 198, 107079, 103378, 125764, 104533, 33014, 26274, 255, 29295, 47884, 30813, 47884, 109020, 105879, 108948, 102212, 108171, 32977, 109215, 38641, 106609, 567, 115538, 62903, 91482, 23226, 106594, 102052, 102456, 30926, 15682, 66953, 119930, 29295, 27384, 102769, 198, 66953, 119930, 102677, 19732, 5486, 114225, 20230, 198, 34208, 102456, 71289, 102433, 102456, 29295, 124807, 76739, 67075, 102456, 103306, 125559, 16556, 126909, 9174, 33334, 120044, 16144, 23226, 106594, 16556, 120044, 123457, 122060, 124545, 16144, 102052, 5486, 102212, 108171, 71289, 103424, 105284, 16144, 47307, 115695, 29220, 105284, 16144, 84844, 110698, 39084, 117282, 33334, 107079, 7, 106826, 38248, 255, 104309, 7705, 32977, 124490, 32149, 72342, 100604, 48706, 103195, 112973, 17620, 107277, 33541, 9174, 125764, 103188, 105557, 100604, 113314, 20230, 106826, 38248, 255, 32977, 125764, 111243, 119010, 122808, 38641, 1811, 30813, 121381, 16144, 117039, 16144, 106826, 38248, 255, 15682, 120065, 119448, 120195, 33541, 29295, 5486, 122013, 16556, 17620, 76622, 40862, 116285, 103424, 117201, 109954, 1811, 105864, 230, 70203, 21105, 103, 47884, 38144, 4012, 198, 16995, 43514, 16995, 43514, 122282, 39926, 125764, 30369, 104468, 19732, 111243, 28190, 105987, 38641, 105879, 5486, 113727, 24273, 103306, 15682, 5486, 67645, 16144, 102456, 103234, 105352, 103826, 104680, 26854, 15308, 226, 113598, 72238, 29295, 96412, 17129, 115032, 105879, 5486, 115598, 31431, 43568, 47884, 16, 117816, 198, 43240, 119064, 25446, 118146, 125764, 30369, 112973, 5486, 125821, 32977, 8239, 114503, 112535, 66953, 119930, 103424, 47884, 15308, 226, 113598, 30512, 99046, 224, 18655, 108608, 104468, 17620, 32149, 104533, 91763, 61689, 1811, 125389, 30926, 121142, 104405, 120837, 109215, 33857, 16144, 15308, 226, 113598, 72238, 30512, 99046, 224, 30369, 112973, 110482, 111108, 26854, 24273, 15682, 5486, 60868, 115507, 73590, 104309, 32977, 17905, 124475, 76706, 11883, 54926, 112973, 103424, 117201, 109954, 9174, 122412, 15682, 103429, 95221, 16144, 39177, 67016, 108948, 117434, 15682, 20834, 39926, 120700, 107515, 122262, 120044, 16144, 15024, 78183, 29295, 127181, 102083, 114598, 108048, 16556, 127091, 30512, 20834, 39926, 124089, 113334, 111769, 105879, 5486, 120044, 20230, 104712, 109335, 121410, 117073, 102456, 30926, 55031, 23226, 106594, 103801, 109954, 9174, 122485, 127331, 124949, 16556, 122735, 29295, 28190, 105987, 26854, 24273, 71289, 5486, 33014, 48634, 112535, 19967, 30369, 112973, 111108, 102800, 24273, 15682, 5486, 66953, 93488, 117718, 126521, 102456, 30926, 30512, 109948, 107441, 124089, 198, 102456, 30926, 16144, 110362, 55487, 32977, 5486, 111800, 118219, 16144, 89783, 30590, 107407, 106046, 61689, 1811, 102456, 103234, 29295, 89783, 76947, 91062, 99959, 101983, 121140, 20230, 126521, 125651, 1811, 128001, 128000, 33334, 110698, 42506, 55031, 73686, 32149, 104028, 106222, 33563, 117126, 42506, 15682, 5486, 53229, 108630, 15682, 605, 9953, 112197, 110698, 42506, 55031, 122489, 84389, 33541, 1811, 22, 9953, 20230, 19, 9953, 5486, 20, 9953, 5486, 21, 9953, 112197, 110698, 42506, 30512, 115274, 56051, 35330, 109518, 16556, 123782, 78943, 100845, 105, 9953, 109518, 10110, 106222, 33563, 117126, 42506, 16144, 122282, 16144, 24186, 108176, 35330, 109518, 7705, 30512, 122282, 21105, 103, 33334, 15024, 5486, 16, 116033, 127637, 103378, 122489, 84389, 33541, 1811, 117382, 16144, 47260, 32131, 91062, 20230, 102181, 102532, 61689, 9174, 119627, 5486, 53229, 108630, 29295, 30591, 104984, 27452, 48915, 115991, 33541, 1811, 27452, 48915, 107118, 5486, 123782, 78943, 100845, 105, 9953, 109518, 29295, 17, 50667, 104297, 71689, 104721, 91875, 56051, 110018, 38641, 1811, 123782, 78943, 100845, 105, 9953, 109518, 29295, 17, 50667, 104297, 71689, 104721, 91875, 102083, 114598, 78183, 107277, 109669, 110706, 38641, 123794, 122262, 110698, 42506, 29295, 18, 110743, 71689, 104721, 91875, 127564, 5486, 102677, 25197, 126989, 38641, 1811, 123782, 78943, 100845, 105, 9953, 109518, 15682, 103664, 17, 21909, 18, 110743, 48154, 19732, 20230, 16, 50667, 104297, 101860, 59739, 124500, 107462, 50834, 33541, 1811, 17, 50667, 104297, 71689, 102677, 109335, 5486, 21, 110743, 71689, 33334, 110698, 42506, 29295, 124500, 100472, 33503, 5486, 102677, 100909, 125651, 1811, 123782, 78943, 100845, 105, 9953, 109518, 15682, 21405, 117084, 61689, 9174, 27452, 48915, 32977, 117382, 16144, 47260, 32131, 91062, 20230, 102181, 102532, 61689, 9174, 13177, 37729, 45829, 105408, 108948, 110698, 42506, 31958, 104398, 16144, 118733, 105284, 99397, 107407, 16144, 119627, 111329, 13177, 112987, 120953, 108422, 111329, 118133, 110698, 42506, 31958, 104398, 16144, 106222, 33563, 117126, 42506, 16144, 25340, 226, 29295, 68759, 25197, 96452, 22398, 101983, 103836, 116233, 111329, 110901, 5486, 117475, 125651, 111329, 13177, 106222, 33563, 117126, 42506, 16144, 25340, 226, 76947, 5486, 103851, 21418, 25340, 226, 38641, 123794, 11571, 33334, 110698, 42506, 55031, 73686, 32149, 104028, 102944, 29295, 102181, 102532, 101182, 110229, 38641, 123794, 91006, 198, 122141, 125651, 111329, 13177, 103851, 21418, 25340, 226, 29295, 68759, 25197, 96452, 22398, 101983, 103836, 76947, 5486, 39084, 109026, 32938, 50928, 85188, 67016, 91774, 28713, 105908, 100604, 116233, 107493, 111329, 13177, 8107, 106968, 104873, 64531, 16144, 110018, 125651, 111329, 122141, 38641, 5486, 121410, 8107, 717, 9953, 15682, 39084, 109026, 32938, 50928, 85188, 29295, 68759, 25197, 96452, 22398, 38641, 109900, 15682, 121410, 8107, 105321, 38641, 1811, 72661, 115515, 18904, 16144, 22, 9953, 17620, 112197, 110698, 42506, 77181, 106222, 33563, 117126, 42506, 16144, 25340, 226, 29295, 68759, 25197, 96452, 22398, 101983, 113017, 116233, 1811, 99849, 116421, 56965, 108010, 117201, 109954, 32149, 91006, 198, 13177, 16995, 58942, 16995, 58942, 5486, 56965, 121953, 111769, 106046, 61689, 57980, 1811, 124237, 16995, 120195, 101732, 106222, 33563, 117126, 42506, 29295, 114941, 121118, 104127, 109954, 111329, 125457, 42891, 11571, 120885, 5486, 106222, 33563, 117126, 42506, 29295, 124500, 30369, 104468, 605, 9953, 110034, 25827, 112130, 91006, 198, 122141, 16556, 100604, 110018, 32977, 101182, 116233, 57980, 5486, 66378, 20230, 89408, 15682, 5486, 101832, 111329, 13177, 104405, 95604, 100909, 112130, 5486, 100927, 107290, 72315, 6447, 37729, 45829, 105408, 111329, 13177, 122582, 125651, 111329, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 26955, 94, 27384, 111848, 126238, 105047, 30926, 107328, 107322, 78244, 112212, 5486, 19, 9953, 55031, 20, 9953, 112649, 107441, 108695, 119279, 105677, 64121, 110276, 110229, 32977, 43240, 117201, 109954, 123601, 116537, 117876, 29295, 108608, 110115, 5486, 108695, 119279, 105677, 64121, 26854, 105879, 117876, 29295, 118765, 110018, 102052, 5486, 108695, 29295, 105677, 101275, 46034, 40265, 126130, 110698, 42506, 16144, 31640, 78183, 112586, 22656, 17792, 20230, 124237, 30297, 109215, 115991, 33541, 1811, 105677, 101275, 46034, 40265, 109853, 15682, 117896, 16144, 47260, 32131, 91062, 30512, 104405, 108422, 9174, 122141, 38641, 5486, 19, 9953, 19732, 20, 9953, 15682, 105677, 101275, 46034, 40265, 30512, 32977, 33503, 100472, 116233, 1811, 108064, 32977, 105755, 83747, 104435, 107493, 5486, 117876, 39926, 103470, 38144, 33334, 35330, 29295, 32977, 33503, 58942, 79721, 111329, 13177, 21, 9953, 126328, 108064, 32977, 121640, 33334, 117876, 116216, 108948, 110698, 42506, 30512, 32977, 110706, 79721, 123794, 91006, 198, 13177, 89408, 20230, 48249, 76947, 119627, 5486, 18, 9953, 103296, 112197, 110698, 42506, 19732, 19, 9953, 23897, 104989, 20230, 124237, 125167, 105677, 101275, 46034, 40265, 20230, 104364, 29295, 30591, 104984, 5486, 20, 9953, 17620, 16144, 106222, 33563, 117126, 42506, 55031, 105677, 101275, 46034, 40265, 20230, 114146, 38144, 106222, 33563, 117126, 42506, 30512, 104721, 105262, 105908, 108608, 116233, 111329, 125457, 58942, 11571, 104405, 95604, 100909, 112130, 91006, 198, 122984, 78434, 101832, 9174, 12, 220, 18, 9953, 103296, 16144, 123782, 78943, 100845, 105, 9953, 109518, 220, 8610, 11, 931, 35757, 10110, 868, 50667, 104297, 23954, 12, 220, 19, 9953, 20230, 124237, 125167, 105677, 101275, 46034, 40265, 16556, 122282, 56051, 123782, 78943, 100845, 105, 9953, 109518, 220, 6849, 11, 931, 35757, 10110, 18, 50667, 104297, 23954, 64780, 50667, 104297, 15682, 112950, 21990, 8107, 35330, 33563, 117126, 16144, 50667, 104297, 38641, 9174, 37271, 103296, 16144, 123782, 78943, 100845, 105, 9953, 109518, 19732, 37271, 9953, 124237, 125167, 33334, 110698, 42506, 16556, 122282, 56051, 123782, 78943, 100845, 105, 9953, 109518, 16144, 50667, 104297, 29295, 104721, 116547, 106116, 104721, 91875, 29295, 18, 113746, 106307, 102334, 33503, 5486, 19, 113746, 30832, 55031, 106222, 33563, 117126, 42506, 30512, 104721, 105262, 5486, 102677, 106161, 39177, 23226, 23187, 102677, 41007, 115991, 33541, 125939, 18904, 15682, 106161, 39177, 23226, 23187, 16144, 115612, 66953, 78767, 78205, 16073, 5486, 66378, 27452, 23226, 23187, 102677, 41007, 124905, 58942, 33541, 9174, 66378, 27452, 23226, 23187, 15682, 2366, 15, 8107, 20, 9953, 21909, 23, 9953, 103296, 16144, 106222, 33563, 117126, 42506, 29295, 103359, 47523, 16556, 5486, 66378, 27452, 23226, 23187, 124905, 30297, 103846, 102052, 31634, 14558, 30512, 112624, 28713, 30813, 123207, 26854, 31431, 107515, 1811, 31634, 14558, 15682, 18, 59739, 38641, 9174, 12, 80019, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 16144, 117375, 112212, 108695, 126130, 105677, 64121, 56051, 100909, 112212, 5486, 2366, 15, 8107, 19, 9953, 21909, 22, 9953, 103296, 107898, 110698, 42506, 29295, 17297, 29295, 100472, 9953, 29295, 16, 113746, 71689, 101182, 198, 12, 106369, 110698, 42506, 29295, 17297, 29295, 100472, 9953, 112197, 110698, 42506, 16556, 122282, 56051, 123782, 78943, 100845, 105, 9953, 109518, 29295, 5486, 123628, 123782, 78943, 100845, 105, 9953, 109518, 20230, 57106, 115694, 5486, 17, 50667, 104297, 71689, 17297, 29295, 100472, 198, 12, 119767, 38093, 33563, 117126, 42506, 29295, 17297, 29295, 30369, 100909, 109853, 102181, 28190, 112212, 126794, 56051, 198, 13177, 37729, 45829, 105408, 115408, 15682, 18, 59739, 107173, 29220, 104612, 39926, 28713, 116233, 101832, 91006, 198, 122141, 125651, 1811, 19, 9953, 15682, 105677, 101275, 46034, 40265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 107399, 234, 118448, 33121, 103181, 82533, 102052, 91482, 47307, 101198, 16073, 33, 104336, 29295, 126521, 198, 91482, 47307, 101198, 16073, 33, 104336, 15682, 120044, 118448, 33121, 103181, 82533, 20230, 107734, 118013, 33541, 9174, 86127, 32977, 198, 40526, 32943, 114052, 29295, 106084, 126172, 102518, 105879, 5486, 103856, 47884, 71005, 17663, 113009, 91482, 47307, 101198, 16073, 33, 17, 30512, 96412, 102189, 60868, 115507, 73590, 30512, 44309, 11883, 112990, 5486, 48785, 9080, 16556, 121602, 47884, 39607, 23226, 106594, 56051, 106613, 111186, 29295, 99849, 27479, 32149, 57903, 33541, 9174, 91482, 47307, 101198, 16073, 33, 17, 15682, 5486, 30297, 26854, 105557, 19732, 57942, 251, 5486, 44510, 248, 9458, 165, 114, 237, 44971, 110590, 5486, 108446, 117203, 5486, 17129, 102334, 76622, 5486, 165, 107, 244, 16144, 53610, 101851, 106, 104309, 9174, 14711, 68042, 32131, 38248, 110, 16073, 30512, 115079, 71289, 39926, 124089, 91482, 47307, 101198, 16073, 34, 95532, 91482, 47307, 101198, 16073, 34, 15682, 57207, 101198, 16144, 102404, 21990, 30512, 126128, 105262, 122502, 50834, 115991, 33541, 9174, 85701, 15682, 127194, 78683, 16073, 7, 57207, 101198, 16144, 39135, 16144, 72238, 120950, 102944, 120732, 45059, 30512, 126128, 44416, 54926, 118733, 53283, 124195, 61689, 9174, 111482, 125030, 76947, 95221, 108176, 108134, 103306, 15682, 5486, 120044, 16144, 102040, 37823, 16144, 72238, 108176, 47260, 32131, 38248, 110, 16073, 15682, 91482, 47307, 101198, 16073, 34, 107407, 55031, 19732, 117952, 104028, 120264, 111476, 124490, 32149, 72342, 100604, 15308, 226, 113598, 72238, 16144, 20713, 59739, 9174, 14711, 93598, 104196, 111331, 91482, 47307, 101198, 16073, 36, 76947, 95532, 91482, 47307, 101198, 16073, 36, 15682, 5486, 118899, 5486, 18904, 108436, 117539, 65743, 104309, 72661, 33334, 26854, 100204, 64121, 16144, 39880, 103672, 71493, 45923, 104309, 20230, 96412, 17129, 106824, 61689, 9174, 51330, 91482, 47307, 101198, 16073, 36, 32977, 111482, 59614, 91774, 16144, 105268, 104196, 111331, 91482, 47307, 101198, 16073, 19732, 117952, 104028, 105879, 5486, 112371, 104328, 109215, 33857, 15682, 99046, 224, 18655, 39926, 111654, 102800, 38641, 9174, 51330, 104466, 39926, 64121, 100481, 126145, 5486, 30297, 26854, 105557, 15682, 15308, 226, 113598, 95001, 29295, 45736, 126145, 111243, 126521, 102456, 103234, 26854, 112973, 78183, 107277, 33541, 1811, 72661, 60358, 8107, 5486, 78256, 223, 112682, 33857, 29295, 106266, 114485, 103792, 105879, 5486, 121374, 29295, 45736, 105522, 108, 103792, 112973, 108618, 104611, 38641, 9174, 30297, 26854, 3574, 120, 5486, 30297, 26854, 30358, 5486, 104328, 59739, 17129, 104369, 15024, 31195, 111575, 38641, 106609, 14711, 112084, 115695, 29220, 105284, 32977, 107693, 26854, 48706, 198, 112727, 106824, 112987, 124324, 104468, 198, 119049, 107079, 5486, 104398, 112506, 16144, 53229, 42506, 117282, 47307, 115695, 29220, 105284, 1811, 117203, 104770, 105352, 43240, 47884, 96412, 17129, 106824, 61689, 1811, 106826, 38248, 255, 104309, 33334, 107079, 105352, 28713, 108005, 115, 111842, 96412, 17129, 106824, 61689, 9174, 115638, 16144, 119400, 15682, 118104, 103429, 104309, 30512, 111098, 105784, 113009, 107079, 30512, 111098, 107441, 115371, 30512, 43240, 47884, 125764, 30369, 108710, 101557, 96, 29295, 103082, 28713, 17792, 104680, 29295, 122603, 106036, 95, 30046, 117084, 102780, 16144, 119049, 107079, 29295, 114485, 83747, 39926, 121120, 28713, 50834, 31431, 108176, 30926, 107328, 105352, 26854, 76947, 61689, 9174, 121496, 105284, 32977, 37087, 47884, 111098, 105784, 16144, 126194, 111476, 109431, 27479, 20230, 99046, 224, 110104, 19732, 120044, 29295, 71493, 60868, 71493, 60868, 16144, 113385, 115717, 33541, 9174, 33334, 107079, 30512, 125764, 104533, 50834, 15682, 5486, 48154, 114053, 30512, 103851, 105262, 104466, 126693, 117587, 105284, 16144, 107246, 110226, 30512, 41758, 26269, 19732, 126128, 58942, 110071, 105879, 5486, 124807, 76739, 67075, 123410, 24273, 30512, 104356, 107898, 125683, 62004, 38641, 9174, 163, 65620, 53610, 33208, 53953, 30512, 71493, 67075, 39926, 121496, 96356, 30512, 111098, 76622, 108948, 107079, 30512, 125764, 104533, 101576, 102, 122101, 103350, 111186, 32977, 19653, 127145, 1811, 32938, 115867, 30832, 29295, 57933, 16073, 104309, 72661, 126362, 116216, 61689, 9174, 90620, 15024, 198, 107079, 103378, 125764, 104533, 33014, 26274, 255, 29295, 47884, 30813, 47884, 109020, 105879, 108948, 102212, 108171, 32977, 109215, 38641, 106609, 567, 115538, 62903, 91482, 23226, 106594, 102052, 102456, 30926, 15682, 66953, 119930, 29295, 27384, 102769, 198, 66953, 119930, 102677, 19732, 5486, 114225, 20230, 198, 34208, 102456, 71289, 102433, 102456, 29295, 124807, 76739, 67075, 102456, 103306, 125559, 16556, 126909, 9174, 33334, 120044, 16144, 23226, 106594, 16556, 120044, 123457, 122060, 124545, 16144, 102052, 5486, 102212, 108171, 71289, 103424, 105284, 16144, 47307, 115695, 29220, 105284, 16144, 84844, 110698, 39084, 117282, 33334, 107079, 7, 106826, 38248, 255, 104309, 7705, 32977, 124490, 32149, 72342, 100604, 48706, 103195, 112973, 17620, 107277, 33541, 9174, 125764, 103188, 105557, 100604, 113314, 20230, 106826, 38248, 255, 32977, 125764, 111243, 119010, 122808, 38641, 1811, 30813, 121381, 16144, 117039, 16144, 106826, 38248, 255, 15682, 120065, 119448, 120195, 33541, 29295, 5486, 122013, 16556, 17620, 76622, 40862, 116285, 103424, 117201, 109954, 1811, 105864, 230, 70203, 21105, 103, 47884, 38144, 4012, 198, 16995, 43514, 16995, 43514, 122282, 39926, 125764, 30369, 104468, 19732, 111243, 28190, 105987, 38641, 105879, 5486, 113727, 24273, 103306, 15682, 5486, 67645, 16144, 102456, 103234, 105352, 103826, 104680, 26854, 15308, 226, 113598, 72238, 29295, 96412, 17129, 115032, 105879, 5486, 115598, 31431, 43568, 47884, 16, 117816, 198, 43240, 119064, 25446, 118146, 125764, 30369, 112973, 5486, 125821, 32977, 8239, 114503, 112535, 66953, 119930, 103424, 47884, 15308, 226, 113598, 30512, 99046, 224, 18655, 108608, 104468, 17620, 32149, 104533, 91763, 61689, 1811, 125389, 30926, 121142, 104405, 120837, 109215, 33857, 16144, 15308, 226, 113598, 72238, 30512, 99046, 224, 30369, 112973, 110482, 111108, 26854, 24273, 15682, 5486, 60868, 115507, 73590, 104309, 32977, 17905, 124475, 76706, 11883, 54926, 112973, 103424, 117201, 109954, 9174, 122412, 15682, 103429, 95221, 16144, 39177, 67016, 108948, 117434, 15682, 20834, 39926, 120700, 107515, 122262, 120044, 16144, 15024, 78183, 29295, 127181, 102083, 114598, 108048, 16556, 127091, 30512, 20834, 39926, 124089, 113334, 111769, 105879, 5486, 120044, 20230, 104712, 109335, 121410, 117073, 102456, 30926, 55031, 23226, 106594, 103801, 109954, 9174, 122485, 127331, 124949, 16556, 122735, 29295, 28190, 105987, 26854, 24273, 71289, 5486, 33014, 48634, 112535, 19967, 30369, 112973, 111108, 102800, 24273, 15682, 5486, 66953, 93488, 117718, 126521, 102456, 30926, 30512, 109948, 107441, 124089, 198, 102456, 30926, 16144, 110362, 55487, 32977, 5486, 111800, 118219, 16144, 89783, 30590, 107407, 106046, 61689, 1811, 102456, 103234, 29295, 89783, 76947, 91062, 99959, 101983, 121140, 20230, 126521, 125651, 1811, 128001, 128000, 33334, 110698, 42506, 55031, 73686, 32149, 104028, 106222, 33563, 117126, 42506, 15682, 5486, 53229, 108630, 15682, 605, 9953, 112197, 110698, 42506, 55031, 122489, 84389, 33541, 1811, 22, 9953, 20230, 19, 9953, 5486, 20, 9953, 5486, 21, 9953, 112197, 110698, 42506, 30512, 115274, 56051, 35330, 109518, 16556, 123782, 78943, 100845, 105, 9953, 109518, 10110, 106222, 33563, 117126, 42506, 16144, 122282, 16144, 24186, 108176, 35330, 109518, 7705, 30512, 122282, 21105, 103, 33334, 15024, 5486, 16, 116033, 127637, 103378, 122489, 84389, 33541, 1811, 117382, 16144, 47260, 32131, 91062, 20230, 102181, 102532, 61689, 9174, 119627, 5486, 53229, 108630, 29295, 30591, 104984, 27452, 48915, 115991, 33541, 1811, 27452, 48915, 107118, 5486, 123782, 78943, 100845, 105, 9953, 109518, 29295, 17, 50667, 104297, 71689, 104721, 91875, 56051, 110018, 38641, 1811, 123782, 78943, 100845, 105, 9953, 109518, 29295, 17, 50667, 104297, 71689, 104721, 91875, 102083, 114598, 78183, 107277, 109669, 110706, 38641, 123794, 122262, 110698, 42506, 29295, 18, 110743, 71689, 104721, 91875, 127564, 5486, 102677, 25197, 126989, 38641, 1811, 123782, 78943, 100845, 105, 9953, 109518, 15682, 103664, 17, 21909, 18, 110743, 48154, 19732, 20230, 16, 50667, 104297, 101860, 59739, 124500, 107462, 50834, 33541, 1811, 17, 50667, 104297, 71689, 102677, 109335, 5486, 21, 110743, 71689, 33334, 110698, 42506, 29295, 124500, 100472, 33503, 5486, 102677, 100909, 125651, 1811, 123782, 78943, 100845, 105, 9953, 109518, 15682, 21405, 117084, 61689, 9174, 27452, 48915, 32977, 117382, 16144, 47260, 32131, 91062, 20230, 102181, 102532, 61689, 9174, 13177, 37729, 45829, 105408, 108948, 110698, 42506, 31958, 104398, 16144, 118733, 105284, 99397, 107407, 16144, 119627, 111329, 13177, 112987, 120953, 108422, 111329, 118133, 110698, 42506, 31958, 104398, 16144, 106222, 33563, 117126, 42506, 16144, 25340, 226, 29295, 68759, 25197, 96452, 22398, 101983, 103836, 116233, 111329, 110901, 5486, 117475, 125651, 111329, 13177, 106222, 33563, 117126, 42506, 16144, 25340, 226, 76947, 5486, 103851, 21418, 25340, 226, 38641, 123794, 11571, 33334, 110698, 42506, 55031, 73686, 32149, 104028, 102944, 29295, 102181, 102532, 101182, 110229, 38641, 123794, 91006, 198, 122141, 125651, 111329, 13177, 103851, 21418, 25340, 226, 29295, 68759, 25197, 96452, 22398, 101983, 103836, 76947, 5486, 39084, 109026, 32938, 50928, 85188, 67016, 91774, 28713, 105908, 100604, 116233, 107493, 111329, 13177, 8107, 106968, 104873, 64531, 16144, 110018, 125651, 111329, 122141, 38641, 5486, 121410, 8107, 717, 9953, 15682, 39084, 109026, 32938, 50928, 85188, 29295, 68759, 25197, 96452, 22398, 38641, 109900, 15682, 121410, 8107, 105321, 38641, 1811, 72661, 115515, 18904, 16144, 22, 9953, 17620, 112197, 110698, 42506, 77181, 106222, 33563, 117126, 42506, 16144, 25340, 226, 29295, 68759, 25197, 96452, 22398, 101983, 113017, 116233, 1811, 99849, 116421, 56965, 108010, 117201, 109954, 32149, 91006, 198, 13177, 16995, 58942, 16995, 58942, 5486, 56965, 121953, 111769, 106046, 61689, 57980, 1811, 124237, 16995, 120195, 101732, 106222, 33563, 117126, 42506, 29295, 114941, 121118, 104127, 109954, 111329, 125457, 42891, 11571, 120885, 5486, 106222, 33563, 117126, 42506, 29295, 124500, 30369, 104468, 605, 9953, 110034, 25827, 112130, 91006, 198, 122141, 16556, 100604, 110018, 32977, 101182, 116233, 57980, 5486, 66378, 20230, 89408, 15682, 5486, 101832, 111329, 13177, 104405, 95604, 100909, 112130, 5486, 100927, 107290, 72315, 6447, 37729, 45829, 105408, 111329, 13177, 122582, 125651, 111329, 17039, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 26955, 94, 27384, 111848, 126238, 105047, 30926, 107328, 107322, 78244, 112212, 5486, 19, 9953, 55031, 20, 9953, 112649, 107441, 108695, 119279, 105677, 64121, 110276, 110229, 32977, 43240, 117201, 109954, 123601, 116537, 117876, 29295, 108608, 110115, 5486, 108695, 119279, 105677, 64121, 26854, 105879, 117876, 29295, 118765, 110018, 102052, 5486, 108695, 29295, 105677, 101275, 46034, 40265, 126130, 110698, 42506, 16144, 31640, 78183, 112586, 22656, 17792, 20230, 124237, 30297, 109215, 115991, 33541, 1811, 105677, 101275, 46034, 40265, 109853, 15682, 117896, 16144, 47260, 32131, 91062, 30512, 104405, 108422, 9174, 122141, 38641, 5486, 19, 9953, 19732, 20, 9953, 15682, 105677, 101275, 46034, 40265, 30512, 32977, 33503, 100472, 116233, 1811, 108064, 32977, 105755, 83747, 104435, 107493, 5486, 117876, 39926, 103470, 38144, 33334, 35330, 29295, 32977, 33503, 58942, 79721, 111329, 13177, 21, 9953, 126328, 108064, 32977, 121640, 33334, 117876, 116216, 108948, 110698, 42506, 30512, 32977, 110706, 79721, 123794, 91006, 198, 13177, 89408, 20230, 48249, 76947, 119627, 5486, 18, 9953, 103296, 112197, 110698, 42506, 19732, 19, 9953, 23897, 104989, 20230, 124237, 125167, 105677, 101275, 46034, 40265, 20230, 104364, 29295, 30591, 104984, 5486, 20, 9953, 17620, 16144, 106222, 33563, 117126, 42506, 55031, 105677, 101275, 46034, 40265, 20230, 114146, 38144, 106222, 33563, 117126, 42506, 30512, 104721, 105262, 105908, 108608, 116233, 111329, 125457, 58942, 11571, 104405, 95604, 100909, 112130, 91006, 198, 122984, 78434, 101832, 9174, 12, 220, 18, 9953, 103296, 16144, 123782, 78943, 100845, 105, 9953, 109518, 220, 8610, 11, 931, 35757, 10110, 868, 50667, 104297, 23954, 12, 220, 19, 9953, 20230, 124237, 125167, 105677, 101275, 46034, 40265, 16556, 122282, 56051, 123782, 78943, 100845, 105, 9953, 109518, 220, 6849, 11, 931, 35757, 10110, 18, 50667, 104297, 23954, 64780, 50667, 104297, 15682, 112950, 21990, 8107, 35330, 33563, 117126, 16144, 50667, 104297, 38641, 9174, 37271, 103296, 16144, 123782, 78943, 100845, 105, 9953, 109518, 19732, 37271, 9953, 124237, 125167, 33334, 110698, 42506, 16556, 122282, 56051, 123782, 78943, 100845, 105, 9953, 109518, 16144, 50667, 104297, 29295, 104721, 116547, 106116, 104721, 91875, 29295, 18, 113746, 106307, 102334, 33503, 5486, 19, 113746, 30832, 55031, 106222, 33563, 117126, 42506, 30512, 104721, 105262, 5486, 102677, 106161, 39177, 23226, 23187, 102677, 41007, 115991, 33541, 125939, 18904, 15682, 106161, 39177, 23226, 23187, 16144, 115612, 66953, 78767, 78205, 16073, 5486, 66378, 27452, 23226, 23187, 102677, 41007, 124905, 58942, 33541, 9174, 66378, 27452, 23226, 23187, 15682, 2366, 15, 8107, 20, 9953, 21909, 23, 9953, 103296, 16144, 106222, 33563, 117126, 42506, 29295, 103359, 47523, 16556, 5486, 66378, 27452, 23226, 23187, 124905, 30297, 103846, 102052, 31634, 14558, 30512, 112624, 28713, 30813, 123207, 26854, 31431, 107515, 1811, 31634, 14558, 15682, 18, 59739, 38641, 9174, 12, 80019, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 16144, 117375, 112212, 108695, 126130, 105677, 64121, 56051, 100909, 112212, 5486, 2366, 15, 8107, 19, 9953, 21909, 22, 9953, 103296, 107898, 110698, 42506, 29295, 17297, 29295, 100472, 9953, 29295, 16, 113746, 71689, 101182, 198, 12, 106369, 110698, 42506, 29295, 17297, 29295, 100472, 9953, 112197, 110698, 42506, 16556, 122282, 56051, 123782, 78943, 100845, 105, 9953, 109518, 29295, 5486, 123628, 123782, 78943, 100845, 105, 9953, 109518, 20230, 57106, 115694, 5486, 17, 50667, 104297, 71689, 17297, 29295, 100472, 198, 12, 119767, 38093, 33563, 117126, 42506, 29295, 17297, 29295, 30369, 100909, 109853, 102181, 28190, 112212, 126794, 56051, 198, 13177, 37729, 45829, 105408, 115408, 15682, 18, 59739, 107173, 29220, 104612, 39926, 28713, 116233, 101832, 91006, 198, 122141, 125651, 1811, 19, 9953, 15682, 105677, 101275, 46034, 40265 ]
[ 29295, 124237, 123671, 100481, 38144, 5486, 117382, 105755, 17, 50667, 104297, 71689, 17297, 29295, 76947, 33541, 101832, 118844, 16556, 17, 59739, 15682, 29220, 104612, 38641, 1811, 18, 59739, 118322, 102181, 28190, 111848, 126794, 119627, 5486, 106222, 33563, 117126, 42506, 29295, 114941, 76947, 109749, 100909, 109853, 108695, 55031, 122984, 15682, 57903, 105823, 104127, 56051, 91006, 198, 13177, 57903, 79721, 6447, 114218, 103429, 46034, 40265, 35330, 71289, 8107, 35330, 29295, 83747, 103470, 109020, 125396, 107407, 76947, 1811, 72661, 17129, 30591, 5486, 19, 113746, 103378, 38641, 15024, 5486, 104712, 107188, 76947, 111329, 13177, 31195, 77693, 16556, 102181, 104770, 20230, 60868, 76171, 56051, 116233, 101832, 111329, 125457, 42891, 5486, 126843, 102518, 112130, 91006, 198, 13177, 16995, 58942, 16995, 58942, 5486, 126843, 47884, 15682, 124897, 57980, 1811, 122984, 20230, 108446, 50928, 56051, 16144, 105110, 101832, 111329, 13177, 108446, 50928, 102677, 32149, 31195, 105321, 19732, 103470, 111329, 13177, 17129, 5486, 17129, 30591, 108048, 16556, 20, 9953, 17620, 55031, 123782, 78943, 100845, 105, 9953, 29295, 17297, 29295, 76947, 106116, 17620, 20230, 114146, 38144, 106222, 33563, 117126, 42506, 29295, 17297, 29295, 100472, 105879, 5486, 30813, 116421, 109416, 76947, 104196, 35330, 103646, 102677, 100909, 125651, 111329, 110901, 11972, 5486, 109020, 108680, 6447, 25827, 11571, 72661, 37729, 45829, 105408, 115515, 15682, 33334, 110698, 42506, 15682, 24186, 20230, 114941, 76947, 33541, 57980, 91006, 198, 122141, 125651, 5486, 38641, 55031, 5486, 106222, 33563, 117126, 42506, 15682, 108895, 26854, 104533, 103911, 101067, 84389, 33541, 101832, 111329, 12, 220, 19, 9953, 110698, 42506, 220, 105677, 101275, 46034, 40265, 119767, 38093, 33563, 117126, 42506, 15682, 123628, 110674, 198, 12, 220, 20, 9953, 110698, 42506, 220, 105677, 101275, 46034, 40265, 119767, 38093, 33563, 117126, 42506, 15682, 123628, 110674, 198, 12, 220, 21, 9953, 110698, 42506, 106369, 110698, 42506, 220, 103167, 16995, 106222, 33563, 117126, 42506, 198, 12, 220, 22, 9953, 110698, 42506, 106369, 110698, 42506, 220, 103167, 16995, 106222, 33563, 117126, 42506, 198, 12, 220, 23, 9953, 110698, 42506, 106369, 110698, 42506, 220, 103167, 16995, 106222, 33563, 117126, 42506, 198, 12, 220, 24, 9953, 110698, 42506, 106369, 110698, 42506, 220, 103167, 16995, 106222, 33563, 117126, 42506, 198, 12, 220, 605, 9953, 110698, 42506, 106369, 110698, 42506, 220, 21, 9953, 5486, 22, 9953, 5486, 23, 9953, 16144, 115274, 16556, 122282, 56051, 123782, 78943, 100845, 105, 9953, 109518, 111848, 106222, 33563, 117126, 42506, 198, 13177, 37729, 45829, 105408, 108948, 110698, 42506, 29295, 24186, 20230, 114941, 114598, 5486, 106222, 33563, 117126, 42506, 15682, 114225, 102052, 124500, 110104, 116233, 101832, 111329, 13177, 72661, 5486, 102971, 91077, 605, 9953, 102052, 53900, 106222, 33563, 117126, 42506, 15682, 124500, 30369, 116233, 101832, 111329, 13177, 21, 9953, 55031, 33334, 110698, 42506, 29295, 124500, 76947, 33541, 55031, 101832, 115847, 29295, 110241, 22, 9953, 110162, 23, 9953, 107898, 110698, 42506, 20230, 125174, 109913, 78183, 100472, 16144, 105110, 106222, 33563, 117126, 42506, 29295, 124500, 30369, 39177, 23538, 15682, 806, 9953, 32149, 717, 9953, 115717, 33541, 101832, 111329, 13177, 15682, 30591, 31195, 105321, 32149, 104004, 101860, 32149, 102800, 111329, 13177, 106222, 33563, 117126, 42506, 29295, 124500, 104533, 50834, 102052, 108695, 55031, 89046, 117139, 107407, 106046, 61689, 109807, 110018, 20230, 53900, 122984, 78434, 57980, 111329, 13177, 112987, 5486, 57980, 85791, 106624, 33334, 124730, 102334, 78434, 76864, 198, 110589, 16144, 120098, 198, 12, 80019, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 16556, 105677, 101275, 56051, 107803, 102052, 106222, 33563, 117126, 42506, 15682, 605, 9953, 30512, 75293, 28713, 101860, 20230, 124500, 30369, 115789, 101182, 198, 12, 106369, 110698, 42506, 55031, 73686, 32149, 104028, 35330, 109518, 15682, 103167, 16995, 29295, 5486, 114218, 103429, 46034, 40265, 35330, 71289, 8107, 35330, 20230, 117375, 54926, 128001, 128000, 33334, 53283, 117063, 9458, 25197, 102832, 52414, 198, 2, 45631, 105994, 114447, 105994, 118587, 101662, 125655, 1981, 27384, 102212, 116664, 98369, 198, 567, 45631, 64209, 30512, 24186, 95221, 117657, 123726, 24273, 111329, 80805, 124643, 103857, 122407, 26269, 104272, 15682, 13177, 64209, 30512, 24186, 95221, 117657, 123726, 24273, 118587, 57933, 108941, 120650, 123671, 5486, 118090, 106608, 104577, 59657, 122, 102667, 116891, 126636, 102212, 116664, 98369, 33503, 34617, 105514, 29295, 110284, 84389, 79721, 1811, 102208, 80805, 102750, 124766, 16144, 112798, 103892, 102404, 78244, 30512, 48154, 126362, 78434, 9174, 91, 118090, 106608, 104577, 59657, 122, 102667, 116891, 10110, 33563, 105298, 40452, 120690, 65459, 113116, 70626, 103242, 101678, 102212, 116664, 10110, 33334, 33334, 16144, 9458, 106644, 28713, 32149, 23954, 91, 220, 6280, 15, 8107, 5486, 103926, 108119, 249, 72099, 21990, 123606, 1811, 2495, 8107, 118090, 106608, 27384, 126784, 34048, 124305, 1811, 73361, 47260, 123437, 33710, 27384, 5486, 99695, 16073, 57207, 33710, 102832, 114676, 27384, 102208, 126784, 34048, 104650, 48864, 5486, 118090, 106608, 27384, 126784, 34048, 113116, 101365, 106613, 70626, 114341, 104599, 104309, 30512, 106613, 38144, 5486, 1049, 17, 8107, 55031, 102321, 107430, 1811, 68759, 25197, 96452, 22398, 125456, 20230, 14309, 98, 31431, 29295, 43514, 26854, 111694, 112919, 113727, 24273, 30512, 5486, 103359, 87177, 30512, 33035, 39926, 23951, 37656, 54926, 13177, 104736, 53283, 123120, 109519, 25333, 117503, 103983, 17792, 30046, 16556, 5486, 37026, 108055, 103359, 105226, 102473, 105352, 108167, 103214, 126559, 9174, 102433, 104736, 53283, 109519, 25333, 124052, 22649, 30926, 101544, 123085, 71634, 108744, 124052, 106966, 22649, 30926, 101544, 104309, 1811, 108936, 70141, 76622, 16144, 102700, 102181, 20230, 44620, 104971, 30297, 59739, 83354, 30512, 71005, 17663, 121359, 1569, 108, 1569, 101, 1569, 108, 17039, 102181, 65459, 44620, 127408, 111571, 30512, 71005, 17663, 5232, 103359, 17792, 127408, 9458, 80805, 108526, 108941, 107446, 109755, 119467, 105352, 30297, 101128, 102, 17129, 100604, 121359, 111663, 113786, 63105, 236, 17039, 102181, 7705, 104309, 1811, 104736, 53283, 109519, 25333, 9458, 104736, 53283, 123120, 109519, 25333, 76706, 11883, 116229, 10110, 198, 86127, 29295, 114363, 103722, 20230, 103792, 104736, 53283, 109519, 25333, 5486, 104736, 53283, 123120, 109519, 25333, 112197, 87177, 30512, 119607, 106046, 61689, 9174, 104736, 53283, 102677, 104468, 5486, 53953, 16144, 101682, 76622, 108167, 24273, 5486, 113727, 24273, 102677, 100909, 38641, 1811, 86127, 127282, 64121, 103171, 29295, 112361, 102321, 103350, 114447, 16144, 126194, 38144, 108048, 108422, 33121, 108010, 100472, 91774, 24273, 30512, 78434, 124845, 106116, 113727, 20230, 102057, 249, 124195, 114732, 105908, 57903, 33541, 1811, 102131, 112990, 59739, 33503, 115737, 76947, 109749, 116233, 101832, 9174, 110219, 15682, 2243, 109, 104043, 113727, 5486, 2243, 109, 104043, 122225, 54926, 1811, 108008, 20230, 126120, 96455, 112535, 16995, 103836, 116233, 123682, 32977, 117119, 116421, 50834, 42891, 126929, 16556, 30297, 17129, 47884, 118544, 123733, 104533, 5486, 115364, 114284, 121423, 16144, 102616, 109156, 76947, 103801, 61689, 9174, 61826, 108680, 21601, 114896, 105408, 29295, 66953, 112193, 16144, 113146, 16144, 87177, 30512, 84389, 100481, 79721, 1811, 105184, 111201, 118116, 107404, 15682, 64121, 103171, 29295, 99849, 72661, 108608, 5486, 101182, 115552, 113245, 32307, 27327, 99750, 114792, 106358, 104466, 91763, 61689, 1811, 103350, 104983, 20230, 102131, 91763, 30297, 109335, 109161, 47884, 100604, 116233, 101832, 1811, 102131, 91763, 30297, 118733, 25580, 70141, 50834, 16144, 76739, 124643, 104603, 11972, 125334, 38144, 109749, 1811, 125743, 108048, 29295, 23039, 50834, 103188, 105557, 38144, 114732, 19732, 5486, 115364, 68759, 25197, 96452, 117718, 28190, 29295, 5486, 112294, 16995, 28190, 29295, 91774, 58942, 103470, 109020, 115397, 24273, 16556, 5486, 115364, 112294, 16995, 28190, 122416, 91774, 100934, 19732, 5486, 115364, 57326, 112718, 16144, 28190, 29295, 91774, 58942, 123733, 76947, 114732, 1811, 102131, 112990, 5486, 123726, 24273, 29295, 108008, 20230, 16937, 111764, 117084, 50834, 33541, 9174, 103350, 30512, 112844, 19732, 115408, 15682, 66953, 112193, 16144, 107404, 15682, 127164, 20230, 104650, 48864, 109768, 79721, 1811, 66953, 112193, 16144, 85707, 62004, 16144, 107404, 119627, 5486, 120065, 59739, 110706, 39177, 23538, 16556, 56051, 1811, 122571, 118331, 25005, 101, 105048, 20230, 102334, 116233, 123682, 32977, 5486, 41642, 112586, 107991, 17792, 127282, 114435, 55031, 20834, 70141, 116216, 37507, 100934, 24273, 29295, 127181, 116233, 101832, 1811, 102131, 95604, 17792, 127282, 108008, 20230, 121771, 98369, 33334, 35330, 114792, 103836, 1811, 110229, 29295, 5486, 103242, 30046, 15682, 104650, 48864, 112990, 5486, 107943, 107898, 35330, 120937, 116233, 101832, 1811, 67645, 112384, 32149, 102677, 19732, 110794, 121216, 115717, 33541, 1811, 99849, 19732, 103470, 105994, 29295, 16937, 106515, 20230, 91763, 107290, 117119, 16556, 114387, 106592, 103792, 102189, 103950, 1811, 102131, 95604, 105104, 30297, 20230, 91763, 107462, 79721, 9174, 112454, 30369, 123017, 21555, 98, 101860, 32149, 102800, 15024, 5486, 112454, 110104, 123017, 59739, 110706, 1811, 122013, 16144, 46456, 58942, 105321, 32149, 32977, 30591, 76947, 5486, 110924, 16556, 15120, 80988, 239, 105714, 31431, 56051, 105879, 5486, 110382, 103296, 37507, 30369, 105908, 103082, 79721, 123682, 32977, 121906, 95604, 110018, 32977, 115364, 113727, 107809, 16556, 16995, 85791, 16995, 85791, 114284, 101128, 102, 104004, 116233, 101832, 1811, 114387, 110229, 102416, 37507, 123207, 57980, 102518, 1811, 115364, 122225, 29295, 56965, 108010, 106358, 25827, 110034, 32149, 1811, 102131, 113727, 104533, 59739, 33503, 115737, 31431, 33541, 9174, 567, 102362, 19732, 87177, 17663, 117591, 20230, 105994, 30512, 108167, 114941, 17663, 198, 90620, 106116, 110018, 20230, 15120, 33014, 99849, 16144, 113009, 110382, 102416, 124284, 102189, 103950, 1811, 102131, 95604, 106592, 122013, 105321, 32149, 19732, 87177, 103792, 117591, 20230, 5486, 83747, 21105, 248, 59739, 105994, 30512, 108167, 114941, 17663, 105908, 125545, 1811, 71289, 112043, 31431, 107707, 48706, 102677, 104468, 119448, 16995, 116233, 101832, 1811, 115364, 48634, 72661, 108608, 100909, 105321, 119627, 123334, 15682, 31431, 114754, 16995, 104533, 5486, 30832, 29295, 112854, 109315, 1811, 59739, 109709, 5486, 115364, 114284, 107809, 20230, 107991, 105994, 55031, 120065, 30832, 29295, 112854, 109315, 1811, 102131, 112990, 5486, 30590, 20230, 102780, 29295, 59739, 102334, 112415, 29295, 108608, 101200, 117084, 50834, 33541, 1811, 59739, 110706, 102189, 107493, 80988, 239, 105714, 103950, 32149, 114318, 9174, 21601, 114896, 105408, 15682, 75146, 104873, 114341, 102446, 16556, 36896, 82973, 19732, 35894, 56965, 66383, 95604, 33334, 87177, 30512, 84389, 100481, 79721, 1811, 59739, 109709, 5486, 82973, 29295, 28713, 38144, 81219, 124500, 107462, 47884, 1811, 116245, 30512, 104721, 58942, 104984, 5486, 53900, 91774, 58942, 24273, 29295, 108010, 76947, 109749, 1811, 102131, 95604, 105104, 30297, 20230, 91763, 105262, 102677, 105908, 108008, 20230, 27384, 112495, 48634, 115717, 33541, 9174, 127880, 121648, 121944, 71493, 115691, 64810, 122835, 114475, 76622, 106272, 36896, 30591, 42891, 5486, 17620, 96356, 16144, 103991, 124905, 116285, 104712, 116233, 101832, 66383, 95604, 105104, 30297, 107898, 42891, 116826, 100472, 105908, 57903, 33541, 1811, 59739, 109709, 36896, 105994, 114447, 105994, 118587, 101662, 125655, 1811, 102131, 95604, 105908, 103082, 104984, 115515, 16144, 59739, 110706, 120208, 55031, 114715, 111764, 101983, 104028, 1811, 102131, 112990, 5486, 53900, 91774, 105262, 102616, 29295, 108010, 76947, 50834, 38144, 5486, 33671, 20230, 103130, 104127, 23039, 108895, 121906, 95604, 120208, 101983, 104028, 116233, 101832, 1811, 102131, 95604, 105104, 30297, 20230, 115364, 113727, 30512, 120065, 65854, 114181, 112535, 91774, 110071, 32149, 104405, 32149, 124845, 106116, 103846, 102052, 105994, 20230, 108608, 100909, 5486, 118765, 100909, 108048, 104088, 110993, 109315, 115789, 27384, 30926, 36785, 106046, 61689, 9174, 86127, 127282, 59739, 16995, 68759, 25197, 96452, 117718, 118881, 20230, 30832, 29295, 70141, 102532, 103801, 76947, 5486, 114387, 103429, 95221, 117084, 114604, 1811, 114387, 68759, 25197, 96452, 22398, 26854, 110229, 107407, 1811, 102131, 91763, 30297, 19732, 5486, 105994, 29295, 17663, 48154, 47884, 64121, 100204, 62004, 117084, 59739, 33503, 115737, 31431, 33541, 9174, 567, 106664, 91875, 54926, 115789, 27384, 30926, 198, 58426, 16325, 16556, 13177, 105994, 29295, 99849, 30512, 71289, 31431, 106956, 104865, 59712, 58426, 71289, 31431, 106956, 106592, 54926, 103846, 102052, 104405, 126693, 104712, 104865, 66383, 95604, 105104, 30297, 20230, 113727, 110071, 105908, 27384, 30926, 113461, 106046, 61689, 124845, 5486, 113727, 30512, 102131, 95604, 105104, 30297, 20230, 125174, 32149, 105262, 103846, 102052, 123120, 123410, 102677, 115789, 27384, 30926, 105321, 125651, 9174, 27452, 116285, 5486, 105994, 29295, 126407, 109315, 106592, 54926, 1811, 71289, 31431, 29295, 117714, 101182, 106592, 54926, 1811, 102131, 95604, 110018, 32977, 5486, 39177, 104680, 86127, 127282, 116292, 114181, 9554, 101983, 107462, 104533, 36896, 114774, 30591, 5486, 115364, 80195, 75267, 104446, 59712, 108031, 51330, 8107, 104446, 66383, 123334, 110104, 114667, 116825, 16995, 106767, 39926, 103801, 61689, 1811, 125743, 123334, 33503, 123207, 99849, 32977, 124500, 110104, 116233, 101832, 1811, 125338, 36785, 62004, 103351, 33503, 5486, 53900, 110924, 16556, 113727, 104984, 104712, 116233, 1811, 102131, 95604, 105104, 30297, 20230, 15120, 105564, 25580, 114447, 105908, 108608, 32149, 104405, 32149, 118844, 32977, 27384, 30926, 26854, 100909, 108995, 106046, 61689, 9174, 80539, 5486, 109606, 122291, 33503, 108048, 30512, 83747, 21105, 248, 59739, 50338, 104662, 54926, 1811, 50338, 104662, 118765, 110018, 102052, 33014, 30512, 91875, 32149, 39926, 114715, 95221, 17620, 108436, 109033, 123410, 1811, 16995, 85791, 16995, 85791, 108608, 109335, 101182, 116497, 105321, 38641, 109807, 108608, 106592, 106767, 109768, 47884, 109807, 16325, 16556, 71289, 31431, 106956, 100909, 104088, 126268, 100481, 47884, 109900, 29295, 113727, 30512, 125174, 32149, 105262, 102677, 100909, 72661, 101182, 102189, 103950, 106046, 61689, 9174, 37271, 16144, 106222, 15682, 108008, 20230, 112008, 106624, 26854, 76947, 61689, 109807, 113009, 64121, 103171, 29295, 123462, 80195, 54926, 121906, 95604, 105908, 117952, 106824, 61689, 9174, 103350, 104983, 20230, 86127, 29295, 110423, 23951 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29295, 124237, 123671, 100481, 38144, 5486, 117382, 105755, 17, 50667, 104297, 71689, 17297, 29295, 76947, 33541, 101832, 118844, 16556, 17, 59739, 15682, 29220, 104612, 38641, 1811, 18, 59739, 118322, 102181, 28190, 111848, 126794, 119627, 5486, 106222, 33563, 117126, 42506, 29295, 114941, 76947, 109749, 100909, 109853, 108695, 55031, 122984, 15682, 57903, 105823, 104127, 56051, 91006, 198, 13177, 57903, 79721, 6447, 114218, 103429, 46034, 40265, 35330, 71289, 8107, 35330, 29295, 83747, 103470, 109020, 125396, 107407, 76947, 1811, 72661, 17129, 30591, 5486, 19, 113746, 103378, 38641, 15024, 5486, 104712, 107188, 76947, 111329, 13177, 31195, 77693, 16556, 102181, 104770, 20230, 60868, 76171, 56051, 116233, 101832, 111329, 125457, 42891, 5486, 126843, 102518, 112130, 91006, 198, 13177, 16995, 58942, 16995, 58942, 5486, 126843, 47884, 15682, 124897, 57980, 1811, 122984, 20230, 108446, 50928, 56051, 16144, 105110, 101832, 111329, 13177, 108446, 50928, 102677, 32149, 31195, 105321, 19732, 103470, 111329, 13177, 17129, 5486, 17129, 30591, 108048, 16556, 20, 9953, 17620, 55031, 123782, 78943, 100845, 105, 9953, 29295, 17297, 29295, 76947, 106116, 17620, 20230, 114146, 38144, 106222, 33563, 117126, 42506, 29295, 17297, 29295, 100472, 105879, 5486, 30813, 116421, 109416, 76947, 104196, 35330, 103646, 102677, 100909, 125651, 111329, 110901, 11972, 5486, 109020, 108680, 6447, 25827, 11571, 72661, 37729, 45829, 105408, 115515, 15682, 33334, 110698, 42506, 15682, 24186, 20230, 114941, 76947, 33541, 57980, 91006, 198, 122141, 125651, 5486, 38641, 55031, 5486, 106222, 33563, 117126, 42506, 15682, 108895, 26854, 104533, 103911, 101067, 84389, 33541, 101832, 111329, 12, 220, 19, 9953, 110698, 42506, 220, 105677, 101275, 46034, 40265, 119767, 38093, 33563, 117126, 42506, 15682, 123628, 110674, 198, 12, 220, 20, 9953, 110698, 42506, 220, 105677, 101275, 46034, 40265, 119767, 38093, 33563, 117126, 42506, 15682, 123628, 110674, 198, 12, 220, 21, 9953, 110698, 42506, 106369, 110698, 42506, 220, 103167, 16995, 106222, 33563, 117126, 42506, 198, 12, 220, 22, 9953, 110698, 42506, 106369, 110698, 42506, 220, 103167, 16995, 106222, 33563, 117126, 42506, 198, 12, 220, 23, 9953, 110698, 42506, 106369, 110698, 42506, 220, 103167, 16995, 106222, 33563, 117126, 42506, 198, 12, 220, 24, 9953, 110698, 42506, 106369, 110698, 42506, 220, 103167, 16995, 106222, 33563, 117126, 42506, 198, 12, 220, 605, 9953, 110698, 42506, 106369, 110698, 42506, 220, 21, 9953, 5486, 22, 9953, 5486, 23, 9953, 16144, 115274, 16556, 122282, 56051, 123782, 78943, 100845, 105, 9953, 109518, 111848, 106222, 33563, 117126, 42506, 198, 13177, 37729, 45829, 105408, 108948, 110698, 42506, 29295, 24186, 20230, 114941, 114598, 5486, 106222, 33563, 117126, 42506, 15682, 114225, 102052, 124500, 110104, 116233, 101832, 111329, 13177, 72661, 5486, 102971, 91077, 605, 9953, 102052, 53900, 106222, 33563, 117126, 42506, 15682, 124500, 30369, 116233, 101832, 111329, 13177, 21, 9953, 55031, 33334, 110698, 42506, 29295, 124500, 76947, 33541, 55031, 101832, 115847, 29295, 110241, 22, 9953, 110162, 23, 9953, 107898, 110698, 42506, 20230, 125174, 109913, 78183, 100472, 16144, 105110, 106222, 33563, 117126, 42506, 29295, 124500, 30369, 39177, 23538, 15682, 806, 9953, 32149, 717, 9953, 115717, 33541, 101832, 111329, 13177, 15682, 30591, 31195, 105321, 32149, 104004, 101860, 32149, 102800, 111329, 13177, 106222, 33563, 117126, 42506, 29295, 124500, 104533, 50834, 102052, 108695, 55031, 89046, 117139, 107407, 106046, 61689, 109807, 110018, 20230, 53900, 122984, 78434, 57980, 111329, 13177, 112987, 5486, 57980, 85791, 106624, 33334, 124730, 102334, 78434, 76864, 198, 110589, 16144, 120098, 198, 12, 80019, 25287, 47260, 42634, 96452, 65299, 106696, 22398, 99750, 108208, 111571, 16556, 105677, 101275, 56051, 107803, 102052, 106222, 33563, 117126, 42506, 15682, 605, 9953, 30512, 75293, 28713, 101860, 20230, 124500, 30369, 115789, 101182, 198, 12, 106369, 110698, 42506, 55031, 73686, 32149, 104028, 35330, 109518, 15682, 103167, 16995, 29295, 5486, 114218, 103429, 46034, 40265, 35330, 71289, 8107, 35330, 20230, 117375, 54926, 128001, 128000, 33334, 53283, 117063, 9458, 25197, 102832, 52414, 198, 2, 45631, 105994, 114447, 105994, 118587, 101662, 125655, 1981, 27384, 102212, 116664, 98369, 198, 567, 45631, 64209, 30512, 24186, 95221, 117657, 123726, 24273, 111329, 80805, 124643, 103857, 122407, 26269, 104272, 15682, 13177, 64209, 30512, 24186, 95221, 117657, 123726, 24273, 118587, 57933, 108941, 120650, 123671, 5486, 118090, 106608, 104577, 59657, 122, 102667, 116891, 126636, 102212, 116664, 98369, 33503, 34617, 105514, 29295, 110284, 84389, 79721, 1811, 102208, 80805, 102750, 124766, 16144, 112798, 103892, 102404, 78244, 30512, 48154, 126362, 78434, 9174, 91, 118090, 106608, 104577, 59657, 122, 102667, 116891, 10110, 33563, 105298, 40452, 120690, 65459, 113116, 70626, 103242, 101678, 102212, 116664, 10110, 33334, 33334, 16144, 9458, 106644, 28713, 32149, 23954, 91, 220, 6280, 15, 8107, 5486, 103926, 108119, 249, 72099, 21990, 123606, 1811, 2495, 8107, 118090, 106608, 27384, 126784, 34048, 124305, 1811, 73361, 47260, 123437, 33710, 27384, 5486, 99695, 16073, 57207, 33710, 102832, 114676, 27384, 102208, 126784, 34048, 104650, 48864, 5486, 118090, 106608, 27384, 126784, 34048, 113116, 101365, 106613, 70626, 114341, 104599, 104309, 30512, 106613, 38144, 5486, 1049, 17, 8107, 55031, 102321, 107430, 1811, 68759, 25197, 96452, 22398, 125456, 20230, 14309, 98, 31431, 29295, 43514, 26854, 111694, 112919, 113727, 24273, 30512, 5486, 103359, 87177, 30512, 33035, 39926, 23951, 37656, 54926, 13177, 104736, 53283, 123120, 109519, 25333, 117503, 103983, 17792, 30046, 16556, 5486, 37026, 108055, 103359, 105226, 102473, 105352, 108167, 103214, 126559, 9174, 102433, 104736, 53283, 109519, 25333, 124052, 22649, 30926, 101544, 123085, 71634, 108744, 124052, 106966, 22649, 30926, 101544, 104309, 1811, 108936, 70141, 76622, 16144, 102700, 102181, 20230, 44620, 104971, 30297, 59739, 83354, 30512, 71005, 17663, 121359, 1569, 108, 1569, 101, 1569, 108, 17039, 102181, 65459, 44620, 127408, 111571, 30512, 71005, 17663, 5232, 103359, 17792, 127408, 9458, 80805, 108526, 108941, 107446, 109755, 119467, 105352, 30297, 101128, 102, 17129, 100604, 121359, 111663, 113786, 63105, 236, 17039, 102181, 7705, 104309, 1811, 104736, 53283, 109519, 25333, 9458, 104736, 53283, 123120, 109519, 25333, 76706, 11883, 116229, 10110, 198, 86127, 29295, 114363, 103722, 20230, 103792, 104736, 53283, 109519, 25333, 5486, 104736, 53283, 123120, 109519, 25333, 112197, 87177, 30512, 119607, 106046, 61689, 9174, 104736, 53283, 102677, 104468, 5486, 53953, 16144, 101682, 76622, 108167, 24273, 5486, 113727, 24273, 102677, 100909, 38641, 1811, 86127, 127282, 64121, 103171, 29295, 112361, 102321, 103350, 114447, 16144, 126194, 38144, 108048, 108422, 33121, 108010, 100472, 91774, 24273, 30512, 78434, 124845, 106116, 113727, 20230, 102057, 249, 124195, 114732, 105908, 57903, 33541, 1811, 102131, 112990, 59739, 33503, 115737, 76947, 109749, 116233, 101832, 9174, 110219, 15682, 2243, 109, 104043, 113727, 5486, 2243, 109, 104043, 122225, 54926, 1811, 108008, 20230, 126120, 96455, 112535, 16995, 103836, 116233, 123682, 32977, 117119, 116421, 50834, 42891, 126929, 16556, 30297, 17129, 47884, 118544, 123733, 104533, 5486, 115364, 114284, 121423, 16144, 102616, 109156, 76947, 103801, 61689, 9174, 61826, 108680, 21601, 114896, 105408, 29295, 66953, 112193, 16144, 113146, 16144, 87177, 30512, 84389, 100481, 79721, 1811, 105184, 111201, 118116, 107404, 15682, 64121, 103171, 29295, 99849, 72661, 108608, 5486, 101182, 115552, 113245, 32307, 27327, 99750, 114792, 106358, 104466, 91763, 61689, 1811, 103350, 104983, 20230, 102131, 91763, 30297, 109335, 109161, 47884, 100604, 116233, 101832, 1811, 102131, 91763, 30297, 118733, 25580, 70141, 50834, 16144, 76739, 124643, 104603, 11972, 125334, 38144, 109749, 1811, 125743, 108048, 29295, 23039, 50834, 103188, 105557, 38144, 114732, 19732, 5486, 115364, 68759, 25197, 96452, 117718, 28190, 29295, 5486, 112294, 16995, 28190, 29295, 91774, 58942, 103470, 109020, 115397, 24273, 16556, 5486, 115364, 112294, 16995, 28190, 122416, 91774, 100934, 19732, 5486, 115364, 57326, 112718, 16144, 28190, 29295, 91774, 58942, 123733, 76947, 114732, 1811, 102131, 112990, 5486, 123726, 24273, 29295, 108008, 20230, 16937, 111764, 117084, 50834, 33541, 9174, 103350, 30512, 112844, 19732, 115408, 15682, 66953, 112193, 16144, 107404, 15682, 127164, 20230, 104650, 48864, 109768, 79721, 1811, 66953, 112193, 16144, 85707, 62004, 16144, 107404, 119627, 5486, 120065, 59739, 110706, 39177, 23538, 16556, 56051, 1811, 122571, 118331, 25005, 101, 105048, 20230, 102334, 116233, 123682, 32977, 5486, 41642, 112586, 107991, 17792, 127282, 114435, 55031, 20834, 70141, 116216, 37507, 100934, 24273, 29295, 127181, 116233, 101832, 1811, 102131, 95604, 17792, 127282, 108008, 20230, 121771, 98369, 33334, 35330, 114792, 103836, 1811, 110229, 29295, 5486, 103242, 30046, 15682, 104650, 48864, 112990, 5486, 107943, 107898, 35330, 120937, 116233, 101832, 1811, 67645, 112384, 32149, 102677, 19732, 110794, 121216, 115717, 33541, 1811, 99849, 19732, 103470, 105994, 29295, 16937, 106515, 20230, 91763, 107290, 117119, 16556, 114387, 106592, 103792, 102189, 103950, 1811, 102131, 95604, 105104, 30297, 20230, 91763, 107462, 79721, 9174, 112454, 30369, 123017, 21555, 98, 101860, 32149, 102800, 15024, 5486, 112454, 110104, 123017, 59739, 110706, 1811, 122013, 16144, 46456, 58942, 105321, 32149, 32977, 30591, 76947, 5486, 110924, 16556, 15120, 80988, 239, 105714, 31431, 56051, 105879, 5486, 110382, 103296, 37507, 30369, 105908, 103082, 79721, 123682, 32977, 121906, 95604, 110018, 32977, 115364, 113727, 107809, 16556, 16995, 85791, 16995, 85791, 114284, 101128, 102, 104004, 116233, 101832, 1811, 114387, 110229, 102416, 37507, 123207, 57980, 102518, 1811, 115364, 122225, 29295, 56965, 108010, 106358, 25827, 110034, 32149, 1811, 102131, 113727, 104533, 59739, 33503, 115737, 31431, 33541, 9174, 567, 102362, 19732, 87177, 17663, 117591, 20230, 105994, 30512, 108167, 114941, 17663, 198, 90620, 106116, 110018, 20230, 15120, 33014, 99849, 16144, 113009, 110382, 102416, 124284, 102189, 103950, 1811, 102131, 95604, 106592, 122013, 105321, 32149, 19732, 87177, 103792, 117591, 20230, 5486, 83747, 21105, 248, 59739, 105994, 30512, 108167, 114941, 17663, 105908, 125545, 1811, 71289, 112043, 31431, 107707, 48706, 102677, 104468, 119448, 16995, 116233, 101832, 1811, 115364, 48634, 72661, 108608, 100909, 105321, 119627, 123334, 15682, 31431, 114754, 16995, 104533, 5486, 30832, 29295, 112854, 109315, 1811, 59739, 109709, 5486, 115364, 114284, 107809, 20230, 107991, 105994, 55031, 120065, 30832, 29295, 112854, 109315, 1811, 102131, 112990, 5486, 30590, 20230, 102780, 29295, 59739, 102334, 112415, 29295, 108608, 101200, 117084, 50834, 33541, 1811, 59739, 110706, 102189, 107493, 80988, 239, 105714, 103950, 32149, 114318, 9174, 21601, 114896, 105408, 15682, 75146, 104873, 114341, 102446, 16556, 36896, 82973, 19732, 35894, 56965, 66383, 95604, 33334, 87177, 30512, 84389, 100481, 79721, 1811, 59739, 109709, 5486, 82973, 29295, 28713, 38144, 81219, 124500, 107462, 47884, 1811, 116245, 30512, 104721, 58942, 104984, 5486, 53900, 91774, 58942, 24273, 29295, 108010, 76947, 109749, 1811, 102131, 95604, 105104, 30297, 20230, 91763, 105262, 102677, 105908, 108008, 20230, 27384, 112495, 48634, 115717, 33541, 9174, 127880, 121648, 121944, 71493, 115691, 64810, 122835, 114475, 76622, 106272, 36896, 30591, 42891, 5486, 17620, 96356, 16144, 103991, 124905, 116285, 104712, 116233, 101832, 66383, 95604, 105104, 30297, 107898, 42891, 116826, 100472, 105908, 57903, 33541, 1811, 59739, 109709, 36896, 105994, 114447, 105994, 118587, 101662, 125655, 1811, 102131, 95604, 105908, 103082, 104984, 115515, 16144, 59739, 110706, 120208, 55031, 114715, 111764, 101983, 104028, 1811, 102131, 112990, 5486, 53900, 91774, 105262, 102616, 29295, 108010, 76947, 50834, 38144, 5486, 33671, 20230, 103130, 104127, 23039, 108895, 121906, 95604, 120208, 101983, 104028, 116233, 101832, 1811, 102131, 95604, 105104, 30297, 20230, 115364, 113727, 30512, 120065, 65854, 114181, 112535, 91774, 110071, 32149, 104405, 32149, 124845, 106116, 103846, 102052, 105994, 20230, 108608, 100909, 5486, 118765, 100909, 108048, 104088, 110993, 109315, 115789, 27384, 30926, 36785, 106046, 61689, 9174, 86127, 127282, 59739, 16995, 68759, 25197, 96452, 117718, 118881, 20230, 30832, 29295, 70141, 102532, 103801, 76947, 5486, 114387, 103429, 95221, 117084, 114604, 1811, 114387, 68759, 25197, 96452, 22398, 26854, 110229, 107407, 1811, 102131, 91763, 30297, 19732, 5486, 105994, 29295, 17663, 48154, 47884, 64121, 100204, 62004, 117084, 59739, 33503, 115737, 31431, 33541, 9174, 567, 106664, 91875, 54926, 115789, 27384, 30926, 198, 58426, 16325, 16556, 13177, 105994, 29295, 99849, 30512, 71289, 31431, 106956, 104865, 59712, 58426, 71289, 31431, 106956, 106592, 54926, 103846, 102052, 104405, 126693, 104712, 104865, 66383, 95604, 105104, 30297, 20230, 113727, 110071, 105908, 27384, 30926, 113461, 106046, 61689, 124845, 5486, 113727, 30512, 102131, 95604, 105104, 30297, 20230, 125174, 32149, 105262, 103846, 102052, 123120, 123410, 102677, 115789, 27384, 30926, 105321, 125651, 9174, 27452, 116285, 5486, 105994, 29295, 126407, 109315, 106592, 54926, 1811, 71289, 31431, 29295, 117714, 101182, 106592, 54926, 1811, 102131, 95604, 110018, 32977, 5486, 39177, 104680, 86127, 127282, 116292, 114181, 9554, 101983, 107462, 104533, 36896, 114774, 30591, 5486, 115364, 80195, 75267, 104446, 59712, 108031, 51330, 8107, 104446, 66383, 123334, 110104, 114667, 116825, 16995, 106767, 39926, 103801, 61689, 1811, 125743, 123334, 33503, 123207, 99849, 32977, 124500, 110104, 116233, 101832, 1811, 125338, 36785, 62004, 103351, 33503, 5486, 53900, 110924, 16556, 113727, 104984, 104712, 116233, 1811, 102131, 95604, 105104, 30297, 20230, 15120, 105564, 25580, 114447, 105908, 108608, 32149, 104405, 32149, 118844, 32977, 27384, 30926, 26854, 100909, 108995, 106046, 61689, 9174, 80539, 5486, 109606, 122291, 33503, 108048, 30512, 83747, 21105, 248, 59739, 50338, 104662, 54926, 1811, 50338, 104662, 118765, 110018, 102052, 33014, 30512, 91875, 32149, 39926, 114715, 95221, 17620, 108436, 109033, 123410, 1811, 16995, 85791, 16995, 85791, 108608, 109335, 101182, 116497, 105321, 38641, 109807, 108608, 106592, 106767, 109768, 47884, 109807, 16325, 16556, 71289, 31431, 106956, 100909, 104088, 126268, 100481, 47884, 109900, 29295, 113727, 30512, 125174, 32149, 105262, 102677, 100909, 72661, 101182, 102189, 103950, 106046, 61689, 9174, 37271, 16144, 106222, 15682, 108008, 20230, 112008, 106624, 26854, 76947, 61689, 109807, 113009, 64121, 103171, 29295, 123462, 80195, 54926, 121906, 95604, 105908, 117952, 106824, 61689, 9174, 103350, 104983, 20230, 86127, 29295, 110423, 23951 ]
[ 103792, 104736, 53283, 109519, 25333, 9458, 104736, 53283, 123120, 109519, 25333, 76706, 11883, 116229, 10110, 128001, 128000, 51330, 108285, 58655, 15682, 5486, 1954, 9080, 71689, 51107, 109768, 100604, 52884, 77750, 20230, 52563, 127145, 9174, 2, 112562, 105888, 30512, 9039, 112603, 33208, 39926, 5486, 16, 9080, 30591, 28713, 111331, 19967, 101275, 33857, 30512, 122282, 54926, 198, 51330, 77219, 15682, 5486, 102159, 105390, 26854, 113727, 16144, 77219, 38641, 9174, 110589, 15682, 19, 9953, 16, 9080, 119627, 121453, 28713, 20230, 13177, 109298, 109298, 80988, 239, 105714, 30369, 108422, 76864, 19732, 30832, 105888, 30512, 121697, 30369, 24273, 32977, 127181, 106046, 61689, 9174, 37271, 18904, 15682, 115408, 29295, 78698, 105262, 30832, 105888, 116700, 109853, 77219, 20230, 78434, 9174, 14711, 112562, 105888, 30512, 9039, 112603, 33208, 54926, 198, 27452, 116285, 36896, 126909, 52884, 77750, 126694, 30369, 66383, 95604, 19732, 110371, 13177, 126909, 66383, 95604, 104468, 17792, 77693, 108422, 33121, 16556, 50338, 13393, 230, 29295, 108901, 26854, 76947, 50834, 33541, 9174, 53900, 36896, 126909, 52884, 77750, 10646, 77181, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 45736, 95604, 86614, 80988, 239, 105714, 104028, 32149, 110241, 33121, 107515, 119520, 5486, 33671, 30537, 20230, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 17297, 29295, 30369, 107294, 106824, 36896, 108064, 103296, 106307, 118145, 104712, 102189, 103950, 66383, 16995, 100472, 127408, 55031, 30775, 104, 108881, 54926, 115789, 57903, 33541, 9174, 53900, 5486, 27929, 32977, 27929, 32977, 13177, 126909, 52884, 77750, 10646, 108176, 102052, 5486, 120824, 99397, 112919, 39880, 122086, 22398, 29295, 109215, 38641, 1811, 43167, 65854, 103359, 105226, 15682, 101182, 102944, 16144, 5486, 120824, 99397, 30046, 29295, 103350, 104983, 20230, 37507, 30369, 32149, 37507, 100604, 32149, 15682, 123213, 17792, 77181, 50338, 104662, 118765, 109606, 38641, 9174, 123532, 76947, 5486, 30832, 105888, 30512, 121697, 30369, 105879, 30591, 104984, 5486, 126843, 105994, 29295, 19967, 101275, 54926, 118733, 104067, 13153, 88367, 26854, 30832, 105888, 30512, 121697, 30369, 102677, 112973, 126521, 104466, 91763, 61689, 124845, 106116, 30832, 105888, 15682, 5486, 118789, 109904, 9039, 112603, 30512, 96412, 102189, 102944, 20230, 78434, 9174, 27452, 116285, 36896, 52884, 77750, 125523, 102332, 39926, 16, 8107, 16556, 2636, 77219, 102181, 47884, 66383, 16995, 100472, 118789, 109904, 9039, 112603, 30512, 17701, 103468, 30832, 105888, 38641, 9174, 14711, 48785, 112603, 33208, 39926, 16, 9080, 30591, 28713, 111331, 19967, 101275, 33857, 29295, 122282, 54926, 198, 13177, 52884, 77750, 125523, 102332, 39926, 16, 8107, 16556, 2636, 77219, 102181, 47884, 66383, 95604, 30832, 105888, 30512, 116700, 127564, 5486, 33671, 20230, 198, 122571, 16, 9080, 30591, 28713, 111331, 19967, 101275, 33857, 30512, 122282, 78434, 9174, 27452, 116285, 5486, 17905, 61304, 16144, 30832, 105888, 30512, 104067, 13153, 54926, 102052, 5486, 16, 9080, 99849, 77219, 102181, 126660, 102083, 124324, 123253, 32149, 95532, 122282, 112990, 111476, 2636, 77219, 96555, 12676, 9080, 104023, 198, 16, 13, 1806, 77219, 198, 121711, 33541, 9174, 102677, 109335, 5486, 16, 9080, 16, 77219, 102181, 119188, 19732, 110371, 30832, 105888, 15682, 104067, 13153, 103082, 107515, 9174, 12676, 117073, 117591, 16144, 8878, 9080, 15682, 17, 77219, 102181, 126660, 19732, 16, 8107, 16556, 2636, 77219, 104067, 13153, 118765, 122282, 115717, 33541, 9174, 8878, 9080, 102677, 19732, 16, 113746, 30591, 115926, 99849, 9080, 17, 77219, 16144, 9080, 29295, 109215, 32149, 5486, 83687, 103378, 77181, 122225, 67016, 101832, 33541, 9174, 110924, 16556, 717, 32149, 9953, 16556, 111017, 76947, 64121, 104533, 111476, 8878, 9080, 96555, 717, 32149, 9953, 104023, 198, 806, 13, 914, 9080, 198, 16, 8107, 30512, 4103, 111299, 19732, 78698, 107290, 5486, 16, 111299, 56965, 30591, 115926, 16556, 122282, 112990, 111476, 8878, 9080, 96555, 4103, 111299, 104023, 198, 17, 13, 21, 9080, 198, 122571, 51330, 105933, 83799, 16556, 5486, 30832, 105888, 30512, 16, 9080, 110904, 25129, 5486, 16, 111299, 56965, 110904, 25129, 104309, 20230, 17620, 50338, 39926, 5486, 19967, 101275, 33857, 30512, 122282, 127145, 9174, 14711, 220, 123011, 62004, 198, 19, 9953, 16, 9080, 115717, 5486, 114565, 1627, 110895, 10110, 679, 19, 110895, 7705, 29295, 27704, 109709, 79721, 9174, 120208, 30512, 17039, 28713, 20230, 30832, 105888, 30512, 121697, 30369, 104983, 15682, 111476, 105994, 16556, 103350, 102321, 88367, 26854, 30832, 105888, 30512, 121697, 104533, 55999, 20230, 5486, 30832, 105888, 30512, 118789, 109904, 9039, 112603, 116446, 5486, 30832, 105888, 104067, 13153, 108608, 106081, 64121, 29295, 109215, 20230, 91763, 61689, 9174, 48154, 121846, 101983, 104984, 106515, 16995, 38641, 9174, 71689, 5486, 97135, 16995, 79721, 1811, 128001, 128000, 567, 111366, 9080, 5486, 21388, 113529, 54926, 112772, 77693, 30512, 33420, 121143, 107726, 107515, 32149, 95532, 121410, 103293, 5486, 72718, 50834, 38144, 91763, 30297, 109335, 99849, 112130, 95532, 17792, 21990, 30512, 85777, 121771, 91763, 61689, 32149, 95532, 77693, 107173, 123726, 107202, 102800, 19732, 112391, 33541, 32149, 95532, 30591, 112568, 16144, 45163, 37507, 30512, 109832, 67178, 54926, 105908, 121453, 28713, 26854, 102944, 30512, 109832, 31431, 36785, 17663, 15355, 231, 125523, 47884, 100909, 108176, 102677, 106592, 113954, 39926, 72315, 9174, 30591, 112568, 29295, 127091, 21388, 113529, 56051, 103306, 106116, 105908, 69978, 103836, 89154, 111073, 16073, 120404, 112212, 108010, 100472, 102944, 29295, 109832, 102204, 100481, 50834, 33541, 9174, 104405, 26854, 103836, 105879, 109954, 95532, 39880, 122086, 22398, 9458, 109713, 105988, 22398, 102750, 117718, 109832, 27704, 30046, 5486, 104603, 68581, 102540, 9458, 99959, 111134, 22398, 29295, 5486, 78183, 28713, 56051, 43514, 29295, 67645, 119775, 30297, 17129, 47884, 5486, 105755, 103424, 47884, 104721, 58942, 100481, 47884, 32149, 102677, 106592, 100927, 107290, 120700, 33541, 9174, 1, 30591, 112568, 16144, 45163, 37507, 15682, 30591, 112568, 29295, 109832, 103836, 16144, 38641, 1, 5486, 19732, 103031, 15682, 104611, 30512, 110408, 39926, 78244, 61689, 9174, 122582, 5486, 78183, 28713, 56051, 43514, 29295, 104405, 106901, 26269, 76428, 9458, 122225, 54926, 32149, 102677, 118733, 119448, 47884, 118396, 109768, 50834, 33541, 9174, 127091, 30512, 121507, 56051, 110018, 108048, 30512, 104405, 122225, 54926, 32149, 112212, 5486, 45163, 37507, 20230, 113801, 120321, 117201, 16995, 47884, 107608, 109709, 120950, 102944, 30512, 109832, 31431, 20834, 78434, 9174, 85701, 15682, 126920, 53901, 17129, 102800, 118733, 109954, 32149, 95532, 1, 30591, 112568, 16144, 17297, 56051, 106901, 26269, 76428, 29295, 109349, 244, 119775, 59739, 105722, 107462, 50834, 5486, 115143, 102052, 107608, 109709, 104856, 76947, 30591, 112568, 16144, 45163, 37507, 16144, 75146, 114457, 104856, 107462, 47884, 1, 112031, 99959, 111134, 22398, 15682, 78244, 61689, 9174, 1, 99849, 16144, 106901, 26269, 76428, 32977, 21105, 103, 16995, 102677, 105908, 5486, 106901, 26269, 76428, 16144, 48706, 21105, 103, 16995, 45163, 37507, 107294, 105722, 31431, 33541, 1, 5486, 19732, 99959, 111134, 22398, 9174, 103031, 103732, 104984, 5486, 106901, 26269, 76428, 54926, 109335, 102750, 102472, 103906, 52884, 26854, 102944, 121142, 103470, 5486, 89154, 76428, 103906, 52884, 26854, 102944, 32977, 96412, 104004, 102677, 16144, 38641, 9174, 120267, 109033, 58942, 104984, 5486, 67645, 103171, 91774, 24273, 30512, 120837, 106053, 106901, 26269, 76428, 115717, 105262, 102677, 100909, 38641, 9174, 106901, 26269, 76428, 21105, 103, 16995, 102677, 109335, 115132, 122086, 117718, 95598, 120544, 112028, 59739, 117083, 102944, 38641, 9174, 1, 122617, 29295, 90620, 15120, 118821, 109834, 103868, 102987, 16995, 114181, 28542, 1, 112031, 15024, 5486, 104712, 9458, 109161, 16995, 5486, 37656, 102800, 9458, 56965, 121953, 5486, 89154, 76428, 103906, 52884, 9458, 102750, 102472, 103906, 52884, 5486, 102677, 102944, 126194, 5486, 90620, 102131, 95604, 102944, 114318, 101682, 76622, 19732, 109315, 102677, 100909, 38641, 9174, 122225, 30512, 17297, 17663, 19732, 106116, 122225, 19732, 68759, 108981, 21105, 103, 16995, 102944, 15682, 5486, 108031, 91774, 58942, 123733, 76947, 114732, 16144, 38641, 9174, 110241, 99849, 113115, 120837, 5486, 104712, 9458, 109161, 16995, 5486, 37656, 102800, 9458, 56965, 121953, 5486, 89154, 76428, 103906, 52884, 9458, 102750, 102472, 103906, 52884, 102083, 100472, 122225, 30512, 21105, 103, 117201, 16995, 110071, 105110, 108048, 15682, 90620, 15120, 118821, 109834, 103868, 102987, 16995, 114181, 28542, 121711, 5486, 115612, 26854, 115552, 30512, 99849, 32977, 69978, 28713, 100604, 102944, 115717, 33541, 9174, 43511, 107707, 114181, 28542, 29295, 124059, 33503, 78183, 102800, 110018, 32977, 108048, 29295, 107608, 117864, 102944, 126194, 5486, 117475, 16144, 100909, 72661, 103470, 5486, 107693, 26854, 100909, 72661, 100604, 102677, 114181, 28542, 19732, 15024, 5486, 90620, 15120, 118821, 109834, 103868, 102987, 16995, 114181, 28542, 36785, 117408, 118733, 5486, 124059, 33503, 78183, 21105, 243, 32977, 124500, 107462, 50834, 33541, 9174, 115364, 124059, 33503, 78183, 102800, 102677, 114181, 28542, 30512, 5486, 90620, 15120, 118821, 109834, 103868, 102987, 16995, 114181, 28542, 117408, 105908, 103082, 104984, 5486, 125821, 27384, 112495, 104721, 33208, 30512, 58318, 58942, 102204, 33541, 9174, 99959, 111134, 22398, 29295, 5486, 53900, 17039, 102800, 103223, 64178, 30512, 58318, 107290, 120700, 79721, 9174, 78183, 28713, 56051, 43514, 16144, 122225, 9458, 105856, 106053, 29295, 21990, 64121, 36785, 109768, 47884, 45163, 37507, 30512, 29220, 104612, 122835, 54926, 124122, 102944, 38641, 9174, 122582, 20713, 90581, 25963, 90581, 34617, 90581, 46702, 102677, 102944, 16556, 5486, 68408, 107060, 9458, 107461, 39880, 16144, 76739, 96452, 109531, 103906, 48552, 9458, 57207, 16073, 64810, 57207, 22398, 9458, 90962, 52884, 9458, 47260, 119263, 78683, 110191, 102677, 107059, 22398, 71289, 5486, 127177, 103031, 16144, 107059, 22398, 16556, 105184, 80195, 39926, 105898, 107420, 64810, 22398, 38641, 9174, 66378, 23187, 16144, 109606, 30926, 113115, 39926, 5486, 20713, 90581, 25963, 90581, 34617, 19732, 99397, 118544, 105784, 118733, 109215, 26854, 76739, 96452, 76428, 11972, 30512, 122617, 105324, 102802, 43167, 109315, 102944, 38641, 9174, 20713, 90581, 25963, 90581, 34617, 15682, 103188, 86436, 19732, 112599, 30512, 29220, 104612, 20230, 78434, 9174, 46702, 30512, 21601, 58942, 110018, 5486, 28713, 100472, 37271, 5486, 115364, 106901, 26269, 76428, 29295, 75146, 117084, 59739, 47884, 125398, 45163, 37507, 20230, 104721, 33208, 29295, 125119, 31431, 33541, 9174, 1, 108526, 11972, 10110, 46702, 7705, 107118, 5486, 123628, 118881, 102416, 106116, 25580, 102416, 5486, 110596, 47884, 109948, 47884, 110229, 5486, 102677, 115552, 112031, 5486, 99959, 111134, 22398, 15682, 122984, 127145, 9174, 108608, 103378, 85701, 30512, 106081, 56051, 16995, 106046, 114598, 5486, 122617, 16144, 100909, 102052, 33655, 58942, 107515, 9174, 106901, 26269, 76428, 29295, 107608, 17129, 107462, 100604, 115789, 101182, 55031, 38641, 9174, 107943, 110018, 102052, 115132, 122086, 22398, 109713, 105988, 22398, 102750, 117718, 29220, 104612, 122835, 106826, 78983, 73590, 29295, 19361, 126120, 38641, 9174, 46702, 29295, 19361, 126120, 26854, 104468, 5486, 45163, 37507, 16144, 76739, 96452, 76428, 11972, 29295, 107608, 17129, 76947, 114604, 19732, 112391, 104533, 50834, 38641, 9174, 16995, 47884, 59739, 116421, 122225, 9458, 105856, 106053, 119279, 106483, 16995, 113266, 21105, 224, 16995, 5486, 107608, 17129, 76947, 109349, 244, 119775, 45163, 37507, 20230, 110137, 102802, 100481, 50834, 5486, 50338, 47884, 105908, 118765, 102677, 105933, 39177, 38641, 9174, 30591, 112568, 29295, 127091, 121507, 54926, 28713, 102802, 20230, 117119, 32149, 30512, 109832, 103836, 16144, 38641, 9174, 122582, 108149, 112568, 16144, 103846, 115287, 31431, 121906, 16556, 104435, 31431, 9174, 58426, 121507, 56051, 106592, 5486, 106901, 26269, 76428, 30512, 112990, 5486, 106901, 26269, 76428, 30512, 96412, 102189, 45163, 37507, 29295, 59739, 47884, 102204, 15682, 100204, 62004, 100481, 50834, 33541, 9174, 122582, 30591, 112568, 29295, 126920, 102647, 102802, 106956, 100909, 112130, 11571, 220, 20713, 90581, 25963, 90581, 34617, 90581, 46702, 6447, 128001, 128000, 90115, 9174, 119515, 101129, 57207, 103906, 112424, 123357, 32938, 16144, 13870, 223, 106528, 101559, 73361, 101129, 110776, 78228, 38641, 9174, 120065, 112772, 37823, 29220, 96452, 91482, 109606, 29295, 118331, 61398, 30512, 83812, 239, 78183, 121256, 9174, 17663, 26854, 78183, 43514, 123255, 81258, 107430, 108134, 116229, 13177, 37823, 29220, 96452, 91482, 118587, 103768, 112167, 54926, 37823, 29220, 33710, 84477, 107391, 104612, 29295, 5486, 81258, 76706, 125104, 106718, 16144, 126794, 30512, 50928, 101860, 20230, 15836, 124905, 76947, 103911, 108867, 56051, 13177, 32943, 23187, 121355, 56906, 96455, 118587, 18655, 73686, 61826, 16144, 1987, 61337, 20230, 122626, 107113, 109606, 26123, 16556, 5486, 105212, 16144, 13177, 121568, 108134, 123050, 114373, 38093, 10646, 15682, 5486, 23, 9953, 1627, 9080, 5486, 37823, 29220, 33710, 84477, 107391, 104612, 20230, 13177, 21043, 37656, 53508, 100, 58655, 118587, 121216, 79721, 9174, 42016, 61337, 16144, 104971, 121568, 108134, 16144, 108167, 121247, 16995, 83354, 29295, 101860, 98369, 16556, 23951, 37656, 54926, 33014, 44416, 32977, 104435, 19732, 122225, 15024, 36896, 121568, 108134, 30512, 121247, 30297, 114435, 66383, 39926, 109431, 102769, 26854, 33014, 44416, 64531, 104874, 19732, 88356, 102404, 103181, 82533, 105226, 30512, 32018, 62004, 5486, 24, 9953, 966, 9080, 103296, 16144, 13177, 120270, 118587, 32018, 62004, 79721, 9174, 109606, 103984, 103646, 104468, 5486, 37823, 29220, 33710, 84477, 107391, 104612, 29295, 77413, 87447, 54926, 13177, 37823, 29220, 96452, 91482, 35, 5901, 108526, 117243, 66383, 105324, 104369, 125175, 38641, 9174, 106718, 16144, 37823, 29220, 96452, 91482, 17905, 16144, 104971, 34273, 110, 111182, 61304, 108565, 83354, 104309, 30512, 50338, 98871, 39926, 13177, 32943, 23187, 121355, 56906, 96455, 118587, 70203, 121216, 5486, 114435, 20230, 20713, 61337, 30591, 115926, 8107, 56965, 3443, 32307, 21909, 2636, 110743, 16556, 104908, 107113, 19732, 116216, 61689, 1811, 122270, 103664, 23, 103633, 107707, 107740, 112919, 119526, 30512, 2118, 126794, 30512, 50928, 101860, 863, 20230, 109790, 30046, 20230, 104908, 56051, 100909, 104309, 29295, 124620, 121568, 108134, 123050, 25333, 36761, 108010, 95543, 20230, 30591, 28713, 104533 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 103792, 104736, 53283, 109519, 25333, 9458, 104736, 53283, 123120, 109519, 25333, 76706, 11883, 116229, 10110, 128001, 128000, 51330, 108285, 58655, 15682, 5486, 1954, 9080, 71689, 51107, 109768, 100604, 52884, 77750, 20230, 52563, 127145, 9174, 2, 112562, 105888, 30512, 9039, 112603, 33208, 39926, 5486, 16, 9080, 30591, 28713, 111331, 19967, 101275, 33857, 30512, 122282, 54926, 198, 51330, 77219, 15682, 5486, 102159, 105390, 26854, 113727, 16144, 77219, 38641, 9174, 110589, 15682, 19, 9953, 16, 9080, 119627, 121453, 28713, 20230, 13177, 109298, 109298, 80988, 239, 105714, 30369, 108422, 76864, 19732, 30832, 105888, 30512, 121697, 30369, 24273, 32977, 127181, 106046, 61689, 9174, 37271, 18904, 15682, 115408, 29295, 78698, 105262, 30832, 105888, 116700, 109853, 77219, 20230, 78434, 9174, 14711, 112562, 105888, 30512, 9039, 112603, 33208, 54926, 198, 27452, 116285, 36896, 126909, 52884, 77750, 126694, 30369, 66383, 95604, 19732, 110371, 13177, 126909, 66383, 95604, 104468, 17792, 77693, 108422, 33121, 16556, 50338, 13393, 230, 29295, 108901, 26854, 76947, 50834, 33541, 9174, 53900, 36896, 126909, 52884, 77750, 10646, 77181, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 45736, 95604, 86614, 80988, 239, 105714, 104028, 32149, 110241, 33121, 107515, 119520, 5486, 33671, 30537, 20230, 102494, 78459, 102832, 38248, 115, 78205, 16073, 29295, 17297, 29295, 30369, 107294, 106824, 36896, 108064, 103296, 106307, 118145, 104712, 102189, 103950, 66383, 16995, 100472, 127408, 55031, 30775, 104, 108881, 54926, 115789, 57903, 33541, 9174, 53900, 5486, 27929, 32977, 27929, 32977, 13177, 126909, 52884, 77750, 10646, 108176, 102052, 5486, 120824, 99397, 112919, 39880, 122086, 22398, 29295, 109215, 38641, 1811, 43167, 65854, 103359, 105226, 15682, 101182, 102944, 16144, 5486, 120824, 99397, 30046, 29295, 103350, 104983, 20230, 37507, 30369, 32149, 37507, 100604, 32149, 15682, 123213, 17792, 77181, 50338, 104662, 118765, 109606, 38641, 9174, 123532, 76947, 5486, 30832, 105888, 30512, 121697, 30369, 105879, 30591, 104984, 5486, 126843, 105994, 29295, 19967, 101275, 54926, 118733, 104067, 13153, 88367, 26854, 30832, 105888, 30512, 121697, 30369, 102677, 112973, 126521, 104466, 91763, 61689, 124845, 106116, 30832, 105888, 15682, 5486, 118789, 109904, 9039, 112603, 30512, 96412, 102189, 102944, 20230, 78434, 9174, 27452, 116285, 36896, 52884, 77750, 125523, 102332, 39926, 16, 8107, 16556, 2636, 77219, 102181, 47884, 66383, 16995, 100472, 118789, 109904, 9039, 112603, 30512, 17701, 103468, 30832, 105888, 38641, 9174, 14711, 48785, 112603, 33208, 39926, 16, 9080, 30591, 28713, 111331, 19967, 101275, 33857, 29295, 122282, 54926, 198, 13177, 52884, 77750, 125523, 102332, 39926, 16, 8107, 16556, 2636, 77219, 102181, 47884, 66383, 95604, 30832, 105888, 30512, 116700, 127564, 5486, 33671, 20230, 198, 122571, 16, 9080, 30591, 28713, 111331, 19967, 101275, 33857, 30512, 122282, 78434, 9174, 27452, 116285, 5486, 17905, 61304, 16144, 30832, 105888, 30512, 104067, 13153, 54926, 102052, 5486, 16, 9080, 99849, 77219, 102181, 126660, 102083, 124324, 123253, 32149, 95532, 122282, 112990, 111476, 2636, 77219, 96555, 12676, 9080, 104023, 198, 16, 13, 1806, 77219, 198, 121711, 33541, 9174, 102677, 109335, 5486, 16, 9080, 16, 77219, 102181, 119188, 19732, 110371, 30832, 105888, 15682, 104067, 13153, 103082, 107515, 9174, 12676, 117073, 117591, 16144, 8878, 9080, 15682, 17, 77219, 102181, 126660, 19732, 16, 8107, 16556, 2636, 77219, 104067, 13153, 118765, 122282, 115717, 33541, 9174, 8878, 9080, 102677, 19732, 16, 113746, 30591, 115926, 99849, 9080, 17, 77219, 16144, 9080, 29295, 109215, 32149, 5486, 83687, 103378, 77181, 122225, 67016, 101832, 33541, 9174, 110924, 16556, 717, 32149, 9953, 16556, 111017, 76947, 64121, 104533, 111476, 8878, 9080, 96555, 717, 32149, 9953, 104023, 198, 806, 13, 914, 9080, 198, 16, 8107, 30512, 4103, 111299, 19732, 78698, 107290, 5486, 16, 111299, 56965, 30591, 115926, 16556, 122282, 112990, 111476, 8878, 9080, 96555, 4103, 111299, 104023, 198, 17, 13, 21, 9080, 198, 122571, 51330, 105933, 83799, 16556, 5486, 30832, 105888, 30512, 16, 9080, 110904, 25129, 5486, 16, 111299, 56965, 110904, 25129, 104309, 20230, 17620, 50338, 39926, 5486, 19967, 101275, 33857, 30512, 122282, 127145, 9174, 14711, 220, 123011, 62004, 198, 19, 9953, 16, 9080, 115717, 5486, 114565, 1627, 110895, 10110, 679, 19, 110895, 7705, 29295, 27704, 109709, 79721, 9174, 120208, 30512, 17039, 28713, 20230, 30832, 105888, 30512, 121697, 30369, 104983, 15682, 111476, 105994, 16556, 103350, 102321, 88367, 26854, 30832, 105888, 30512, 121697, 104533, 55999, 20230, 5486, 30832, 105888, 30512, 118789, 109904, 9039, 112603, 116446, 5486, 30832, 105888, 104067, 13153, 108608, 106081, 64121, 29295, 109215, 20230, 91763, 61689, 9174, 48154, 121846, 101983, 104984, 106515, 16995, 38641, 9174, 71689, 5486, 97135, 16995, 79721, 1811, 128001, 128000, 567, 111366, 9080, 5486, 21388, 113529, 54926, 112772, 77693, 30512, 33420, 121143, 107726, 107515, 32149, 95532, 121410, 103293, 5486, 72718, 50834, 38144, 91763, 30297, 109335, 99849, 112130, 95532, 17792, 21990, 30512, 85777, 121771, 91763, 61689, 32149, 95532, 77693, 107173, 123726, 107202, 102800, 19732, 112391, 33541, 32149, 95532, 30591, 112568, 16144, 45163, 37507, 30512, 109832, 67178, 54926, 105908, 121453, 28713, 26854, 102944, 30512, 109832, 31431, 36785, 17663, 15355, 231, 125523, 47884, 100909, 108176, 102677, 106592, 113954, 39926, 72315, 9174, 30591, 112568, 29295, 127091, 21388, 113529, 56051, 103306, 106116, 105908, 69978, 103836, 89154, 111073, 16073, 120404, 112212, 108010, 100472, 102944, 29295, 109832, 102204, 100481, 50834, 33541, 9174, 104405, 26854, 103836, 105879, 109954, 95532, 39880, 122086, 22398, 9458, 109713, 105988, 22398, 102750, 117718, 109832, 27704, 30046, 5486, 104603, 68581, 102540, 9458, 99959, 111134, 22398, 29295, 5486, 78183, 28713, 56051, 43514, 29295, 67645, 119775, 30297, 17129, 47884, 5486, 105755, 103424, 47884, 104721, 58942, 100481, 47884, 32149, 102677, 106592, 100927, 107290, 120700, 33541, 9174, 1, 30591, 112568, 16144, 45163, 37507, 15682, 30591, 112568, 29295, 109832, 103836, 16144, 38641, 1, 5486, 19732, 103031, 15682, 104611, 30512, 110408, 39926, 78244, 61689, 9174, 122582, 5486, 78183, 28713, 56051, 43514, 29295, 104405, 106901, 26269, 76428, 9458, 122225, 54926, 32149, 102677, 118733, 119448, 47884, 118396, 109768, 50834, 33541, 9174, 127091, 30512, 121507, 56051, 110018, 108048, 30512, 104405, 122225, 54926, 32149, 112212, 5486, 45163, 37507, 20230, 113801, 120321, 117201, 16995, 47884, 107608, 109709, 120950, 102944, 30512, 109832, 31431, 20834, 78434, 9174, 85701, 15682, 126920, 53901, 17129, 102800, 118733, 109954, 32149, 95532, 1, 30591, 112568, 16144, 17297, 56051, 106901, 26269, 76428, 29295, 109349, 244, 119775, 59739, 105722, 107462, 50834, 5486, 115143, 102052, 107608, 109709, 104856, 76947, 30591, 112568, 16144, 45163, 37507, 16144, 75146, 114457, 104856, 107462, 47884, 1, 112031, 99959, 111134, 22398, 15682, 78244, 61689, 9174, 1, 99849, 16144, 106901, 26269, 76428, 32977, 21105, 103, 16995, 102677, 105908, 5486, 106901, 26269, 76428, 16144, 48706, 21105, 103, 16995, 45163, 37507, 107294, 105722, 31431, 33541, 1, 5486, 19732, 99959, 111134, 22398, 9174, 103031, 103732, 104984, 5486, 106901, 26269, 76428, 54926, 109335, 102750, 102472, 103906, 52884, 26854, 102944, 121142, 103470, 5486, 89154, 76428, 103906, 52884, 26854, 102944, 32977, 96412, 104004, 102677, 16144, 38641, 9174, 120267, 109033, 58942, 104984, 5486, 67645, 103171, 91774, 24273, 30512, 120837, 106053, 106901, 26269, 76428, 115717, 105262, 102677, 100909, 38641, 9174, 106901, 26269, 76428, 21105, 103, 16995, 102677, 109335, 115132, 122086, 117718, 95598, 120544, 112028, 59739, 117083, 102944, 38641, 9174, 1, 122617, 29295, 90620, 15120, 118821, 109834, 103868, 102987, 16995, 114181, 28542, 1, 112031, 15024, 5486, 104712, 9458, 109161, 16995, 5486, 37656, 102800, 9458, 56965, 121953, 5486, 89154, 76428, 103906, 52884, 9458, 102750, 102472, 103906, 52884, 5486, 102677, 102944, 126194, 5486, 90620, 102131, 95604, 102944, 114318, 101682, 76622, 19732, 109315, 102677, 100909, 38641, 9174, 122225, 30512, 17297, 17663, 19732, 106116, 122225, 19732, 68759, 108981, 21105, 103, 16995, 102944, 15682, 5486, 108031, 91774, 58942, 123733, 76947, 114732, 16144, 38641, 9174, 110241, 99849, 113115, 120837, 5486, 104712, 9458, 109161, 16995, 5486, 37656, 102800, 9458, 56965, 121953, 5486, 89154, 76428, 103906, 52884, 9458, 102750, 102472, 103906, 52884, 102083, 100472, 122225, 30512, 21105, 103, 117201, 16995, 110071, 105110, 108048, 15682, 90620, 15120, 118821, 109834, 103868, 102987, 16995, 114181, 28542, 121711, 5486, 115612, 26854, 115552, 30512, 99849, 32977, 69978, 28713, 100604, 102944, 115717, 33541, 9174, 43511, 107707, 114181, 28542, 29295, 124059, 33503, 78183, 102800, 110018, 32977, 108048, 29295, 107608, 117864, 102944, 126194, 5486, 117475, 16144, 100909, 72661, 103470, 5486, 107693, 26854, 100909, 72661, 100604, 102677, 114181, 28542, 19732, 15024, 5486, 90620, 15120, 118821, 109834, 103868, 102987, 16995, 114181, 28542, 36785, 117408, 118733, 5486, 124059, 33503, 78183, 21105, 243, 32977, 124500, 107462, 50834, 33541, 9174, 115364, 124059, 33503, 78183, 102800, 102677, 114181, 28542, 30512, 5486, 90620, 15120, 118821, 109834, 103868, 102987, 16995, 114181, 28542, 117408, 105908, 103082, 104984, 5486, 125821, 27384, 112495, 104721, 33208, 30512, 58318, 58942, 102204, 33541, 9174, 99959, 111134, 22398, 29295, 5486, 53900, 17039, 102800, 103223, 64178, 30512, 58318, 107290, 120700, 79721, 9174, 78183, 28713, 56051, 43514, 16144, 122225, 9458, 105856, 106053, 29295, 21990, 64121, 36785, 109768, 47884, 45163, 37507, 30512, 29220, 104612, 122835, 54926, 124122, 102944, 38641, 9174, 122582, 20713, 90581, 25963, 90581, 34617, 90581, 46702, 102677, 102944, 16556, 5486, 68408, 107060, 9458, 107461, 39880, 16144, 76739, 96452, 109531, 103906, 48552, 9458, 57207, 16073, 64810, 57207, 22398, 9458, 90962, 52884, 9458, 47260, 119263, 78683, 110191, 102677, 107059, 22398, 71289, 5486, 127177, 103031, 16144, 107059, 22398, 16556, 105184, 80195, 39926, 105898, 107420, 64810, 22398, 38641, 9174, 66378, 23187, 16144, 109606, 30926, 113115, 39926, 5486, 20713, 90581, 25963, 90581, 34617, 19732, 99397, 118544, 105784, 118733, 109215, 26854, 76739, 96452, 76428, 11972, 30512, 122617, 105324, 102802, 43167, 109315, 102944, 38641, 9174, 20713, 90581, 25963, 90581, 34617, 15682, 103188, 86436, 19732, 112599, 30512, 29220, 104612, 20230, 78434, 9174, 46702, 30512, 21601, 58942, 110018, 5486, 28713, 100472, 37271, 5486, 115364, 106901, 26269, 76428, 29295, 75146, 117084, 59739, 47884, 125398, 45163, 37507, 20230, 104721, 33208, 29295, 125119, 31431, 33541, 9174, 1, 108526, 11972, 10110, 46702, 7705, 107118, 5486, 123628, 118881, 102416, 106116, 25580, 102416, 5486, 110596, 47884, 109948, 47884, 110229, 5486, 102677, 115552, 112031, 5486, 99959, 111134, 22398, 15682, 122984, 127145, 9174, 108608, 103378, 85701, 30512, 106081, 56051, 16995, 106046, 114598, 5486, 122617, 16144, 100909, 102052, 33655, 58942, 107515, 9174, 106901, 26269, 76428, 29295, 107608, 17129, 107462, 100604, 115789, 101182, 55031, 38641, 9174, 107943, 110018, 102052, 115132, 122086, 22398, 109713, 105988, 22398, 102750, 117718, 29220, 104612, 122835, 106826, 78983, 73590, 29295, 19361, 126120, 38641, 9174, 46702, 29295, 19361, 126120, 26854, 104468, 5486, 45163, 37507, 16144, 76739, 96452, 76428, 11972, 29295, 107608, 17129, 76947, 114604, 19732, 112391, 104533, 50834, 38641, 9174, 16995, 47884, 59739, 116421, 122225, 9458, 105856, 106053, 119279, 106483, 16995, 113266, 21105, 224, 16995, 5486, 107608, 17129, 76947, 109349, 244, 119775, 45163, 37507, 20230, 110137, 102802, 100481, 50834, 5486, 50338, 47884, 105908, 118765, 102677, 105933, 39177, 38641, 9174, 30591, 112568, 29295, 127091, 121507, 54926, 28713, 102802, 20230, 117119, 32149, 30512, 109832, 103836, 16144, 38641, 9174, 122582, 108149, 112568, 16144, 103846, 115287, 31431, 121906, 16556, 104435, 31431, 9174, 58426, 121507, 56051, 106592, 5486, 106901, 26269, 76428, 30512, 112990, 5486, 106901, 26269, 76428, 30512, 96412, 102189, 45163, 37507, 29295, 59739, 47884, 102204, 15682, 100204, 62004, 100481, 50834, 33541, 9174, 122582, 30591, 112568, 29295, 126920, 102647, 102802, 106956, 100909, 112130, 11571, 220, 20713, 90581, 25963, 90581, 34617, 90581, 46702, 6447, 128001, 128000, 90115, 9174, 119515, 101129, 57207, 103906, 112424, 123357, 32938, 16144, 13870, 223, 106528, 101559, 73361, 101129, 110776, 78228, 38641, 9174, 120065, 112772, 37823, 29220, 96452, 91482, 109606, 29295, 118331, 61398, 30512, 83812, 239, 78183, 121256, 9174, 17663, 26854, 78183, 43514, 123255, 81258, 107430, 108134, 116229, 13177, 37823, 29220, 96452, 91482, 118587, 103768, 112167, 54926, 37823, 29220, 33710, 84477, 107391, 104612, 29295, 5486, 81258, 76706, 125104, 106718, 16144, 126794, 30512, 50928, 101860, 20230, 15836, 124905, 76947, 103911, 108867, 56051, 13177, 32943, 23187, 121355, 56906, 96455, 118587, 18655, 73686, 61826, 16144, 1987, 61337, 20230, 122626, 107113, 109606, 26123, 16556, 5486, 105212, 16144, 13177, 121568, 108134, 123050, 114373, 38093, 10646, 15682, 5486, 23, 9953, 1627, 9080, 5486, 37823, 29220, 33710, 84477, 107391, 104612, 20230, 13177, 21043, 37656, 53508, 100, 58655, 118587, 121216, 79721, 9174, 42016, 61337, 16144, 104971, 121568, 108134, 16144, 108167, 121247, 16995, 83354, 29295, 101860, 98369, 16556, 23951, 37656, 54926, 33014, 44416, 32977, 104435, 19732, 122225, 15024, 36896, 121568, 108134, 30512, 121247, 30297, 114435, 66383, 39926, 109431, 102769, 26854, 33014, 44416, 64531, 104874, 19732, 88356, 102404, 103181, 82533, 105226, 30512, 32018, 62004, 5486, 24, 9953, 966, 9080, 103296, 16144, 13177, 120270, 118587, 32018, 62004, 79721, 9174, 109606, 103984, 103646, 104468, 5486, 37823, 29220, 33710, 84477, 107391, 104612, 29295, 77413, 87447, 54926, 13177, 37823, 29220, 96452, 91482, 35, 5901, 108526, 117243, 66383, 105324, 104369, 125175, 38641, 9174, 106718, 16144, 37823, 29220, 96452, 91482, 17905, 16144, 104971, 34273, 110, 111182, 61304, 108565, 83354, 104309, 30512, 50338, 98871, 39926, 13177, 32943, 23187, 121355, 56906, 96455, 118587, 70203, 121216, 5486, 114435, 20230, 20713, 61337, 30591, 115926, 8107, 56965, 3443, 32307, 21909, 2636, 110743, 16556, 104908, 107113, 19732, 116216, 61689, 1811, 122270, 103664, 23, 103633, 107707, 107740, 112919, 119526, 30512, 2118, 126794, 30512, 50928, 101860, 863, 20230, 109790, 30046, 20230, 104908, 56051, 100909, 104309, 29295, 124620, 121568, 108134, 123050, 25333, 36761, 108010, 95543, 20230, 30591, 28713, 104533 ]
[ 122225, 103646, 16144, 38641, 1811, 42016, 114373, 38093, 29295, 109606, 103984, 56051, 104468, 5486, 17297, 61304, 16144, 34617, 28542, 38641, 9174, 118075, 105490, 226, 23, 103633, 107707, 125104, 106718, 16144, 2118, 126794, 30512, 50928, 101860, 863, 20230, 14167, 100, 65854, 114435, 20230, 121568, 108134, 30512, 122626, 56051, 100909, 9174, 7, 72958, 121980, 44620, 121568, 108134, 123050, 25333, 36761, 15682, 123213, 107707, 126794, 110214, 20230, 121568, 108134, 30512, 109790, 30046, 20230, 104908, 54926, 106592, 108493, 100204, 127280, 340, 119560, 110927, 37689, 30512, 50928, 101732, 107740, 30046, 7, 103664, 2075, 11, 931, 17792, 8, 113115, 120837, 13177, 107740, 113173, 10646, 123160, 122984, 29295, 127242, 107113, 100909, 79922, 16, 29, 104076, 126892, 220, 22, 9953, 20230, 13177, 121568, 108134, 123050, 114373, 38093, 10646, 55031, 64467, 112419, 114475, 105784, 103296, 127749, 30512, 54322, 22324, 107113, 108695, 16144, 40452, 33014, 44416, 16144, 16937, 104874, 9174, 79922, 16, 29, 108477, 105, 31958, 29295, 127242, 107113, 198, 37823, 29220, 33710, 84477, 107391, 104612, 15682, 5486, 116229, 107740, 106045, 103664, 20230, 13177, 118935, 11883, 112415, 111983, 103129, 16144, 103846, 5486, 107740, 114435, 20230, 108134, 104908, 54926, 105908, 101182, 66383, 61304, 107121, 103792, 103306, 5486, 104971, 125104, 112919, 126794, 30512, 50928, 101732, 83354, 19732, 36668, 105714, 121256, 29295, 110371, 122984, 55031, 107740, 30046, 29295, 108446, 50928, 54926, 104468, 111108, 102800, 106046, 123671, 33541, 9174, 111344, 8239, 112, 122502, 91077, 32977, 23, 9953, 17905, 6079, 105, 5486, 42016, 61337, 20230, 104873, 112984, 109156, 31431, 79721, 9174, 44620, 107430, 101275, 51385, 23187, 25333, 36761, 16144, 64467, 13393, 251, 15682, 5486, 104971, 121568, 108134, 16144, 109431, 102769, 26854, 40452, 83354, 30512, 32018, 107436, 108086, 5486, 108010, 95543, 29295, 30591, 104984, 32938, 36651, 16144, 112950, 21990, 8239, 112, 122502, 27384, 113524, 111848, 13177, 107338, 64467, 106839, 10646, 29295, 23039, 123671, 33541, 9174, 37271, 18904, 16144, 126465, 15682, 5486, 106718, 110366, 55031, 126794, 30512, 50928, 28713, 32149, 33476, 111201, 32149, 124233, 121140, 5486, 42016, 25333, 29295, 108493, 101860, 30369, 13177, 115612, 26854, 114667, 16144, 100604, 5486, 121568, 108134, 16144, 48915, 34048, 111363, 104908, 20230, 30591, 28713, 30369, 66383, 122225, 103646, 102944, 38641, 9174, 53283, 33503, 112179, 122756, 43167, 62004, 109115, 119526, 16556, 105994, 29295, 2118, 107624, 95001, 863, 84389, 5486, 105994, 105459, 124911, 21990, 71289, 106222, 29295, 119448, 47884, 118396, 107001, 26123, 102677, 102321, 103350, 29295, 37271, 17129, 30813, 20230, 125119, 76947, 61689, 9174, 51330, 100909, 109853, 101200, 71289, 47884, 105212, 32977, 22656, 115519, 30512, 122765, 30369, 101200, 117084, 50834, 79721, 29295, 5486, 16606, 104309, 72661, 112361, 105933, 105908, 125119, 76947, 61689, 9174, 121568, 108134, 15682, 36896, 64467, 27869, 233, 66383, 126419, 102677, 17792, 32977, 107991, 104466, 5486, 118823, 16144, 102616, 77181, 95221, 109669, 107188, 95604, 43514, 20230, 105994, 126027, 108134, 29295, 113692, 70892, 116, 20230, 110731, 102321, 103350, 102052, 115515, 74482, 95221, 30512, 122382, 100481, 105898, 16995, 125651, 1811, 128001, 128000, 567, 220, 717, 9953, 22, 9080, 73958, 102212, 103449, 49409, 40526, 113245, 104500, 22656, 17161, 31958, 104773, 103892, 102446, 108323, 10110, 91875, 55723, 19732, 57933, 62903, 71634, 23954, 104500, 22656, 17161, 31958, 78507, 245, 103892, 102446, 108323, 10110, 717, 14, 22, 73958, 102212, 103449, 49409, 40526, 23954, 37271, 27479, 16144, 102647, 123680, 16556, 86127, 29295, 126014, 107290, 108086, 33541, 104468, 5486, 86354, 95221, 30512, 103424, 47884, 39926, 25132, 229, 11883, 30512, 51385, 23187, 107726, 5486, 29504, 70821, 16144, 32938, 50928, 30512, 50834, 43514, 104043, 109415, 100481, 47884, 121906, 95604, 102433, 30512, 108167, 114941, 17663, 110371, 113495, 30512, 125821, 125821, 103130, 62004, 107726, 38144, 72315, 19732, 33334, 124730, 30512, 127145, 9174, 68408, 123646, 106613, 111587, 102677, 104468, 121410, 8107, 5486, 47043, 16144, 112603, 38574, 29295, 17297, 29295, 104533, 115963, 20230, 5486, 110698, 58318, 32977, 32938, 50928, 32977, 121410, 8107, 17297, 29295, 107462, 47884, 1811, 76171, 123646, 102677, 104468, 5486, 121410, 8107, 5486, 53953, 95001, 32977, 115442, 30369, 123682, 32977, 5486, 110226, 17701, 32977, 32938, 50928, 32977, 115079, 58942, 100481, 47884, 1811, 68408, 123646, 106613, 111587, 30512, 51330, 110674, 106307, 76622, 100481, 126145, 110371, 29504, 15682, 46729, 82420, 32977, 121568, 32977, 64121, 103171, 61826, 119703, 116233, 9174, 71289, 15682, 31431, 110371, 68408, 123646, 15682, 56906, 75267, 21105, 103, 47884, 100481, 112987, 124324, 1811, 124059, 32149, 101860, 59739, 72661, 121410, 8107, 5486, 51385, 23187, 112535, 110226, 17701, 29295, 115442, 107462, 47884, 5486, 33122, 72516, 16144, 105525, 31431, 109415, 29295, 115442, 107462, 47884, 108048, 16556, 100604, 19732, 110526, 114792, 38144, 100604, 9174, 109860, 115408, 127282, 51330, 125525, 106613, 111587, 30512, 13153, 101544, 54926, 106613, 111587, 102416, 69978, 107462, 105898, 117714, 38641, 9174, 104959, 73361, 15682, 108149, 16144, 16937, 109369, 107809, 16556, 25963, 113127, 102677, 30832, 105888, 112603, 30512, 15682, 121381, 31431, 19012, 110, 102639, 28713, 1811, 110229, 29295, 5486, 40265, 39177, 102433, 16144, 110886, 15682, 119448, 47884, 107960, 108267, 30512, 39926, 102532, 5486, 25963, 113127, 16144, 76171, 123646, 30832, 105888, 96455, 30512, 19012, 110, 102639, 30369, 105908, 103082, 104435, 1811, 51385, 98406, 32943, 34273, 96, 117084, 5486, 15682, 100204, 107436, 25963, 113127, 16144, 76171, 123646, 30832, 105888, 30512, 29504, 70821, 20230, 31958, 20379, 56051, 116233, 124845, 110371, 25963, 8107, 56965, 5486, 30832, 105888, 16144, 104067, 13153, 16144, 113009, 80988, 239, 105714, 121118, 116233, 9174, 118116, 108901, 40053, 26854, 35757, 45736, 123085, 16556, 49792, 75267, 29295, 47043, 30512, 16995, 126910, 19967, 114598, 102616, 16144, 117903, 20230, 37705, 100472, 39177, 102052, 121374, 114300, 106106, 16556, 104284, 109972, 101983, 110104, 1811, 109860, 5486, 125559, 20230, 49792, 75267, 71289, 101275, 29295, 89753, 20834, 109768, 100472, 109900, 103378, 126194, 123085, 16144, 112113, 29295, 102616, 20230, 67645, 124592, 25827, 17620, 107471, 109768, 100472, 124845, 110371, 29504, 102052, 5486, 49792, 75267, 30512, 119962, 62004, 124195, 5486, 107430, 30512, 21388, 100472, 114754, 36117, 95, 103468, 1811, 109860, 5486, 108901, 40053, 26854, 35757, 45736, 15682, 120953, 120837, 82533, 62004, 100604, 102083, 124324, 106046, 76947, 5486, 32149, 59739, 38144, 100604, 108901, 33671, 24186, 16144, 114734, 100783, 102, 34208, 30512, 125338, 35757, 51385, 20230, 106839, 102334, 116233, 9174, 113702, 123085, 117409, 16556, 19967, 100472, 47043, 16144, 127123, 114300, 106106, 123457, 108167, 114941, 17663, 105908, 103082, 28713, 124845, 5486, 25963, 8107, 56965, 16556, 1041, 32307, 17792, 30512, 72404, 105262, 17792, 105459, 20230, 17039, 102800, 25132, 229, 11883, 16144, 75267, 30512, 109832, 20834, 54926, 120266, 19653, 56051, 124845, 5486, 86436, 8107, 5486, 102832, 61398, 122060, 115991, 79721, 127211, 114435, 103378, 126194, 38144, 121270, 31809, 114435, 16144, 66224, 111017, 16144, 114435, 29295, 51330, 89753, 33121, 20230, 123532, 76947, 5486, 110698, 58318, 30512, 109415, 100934, 116233, 1811, 56965, 121953, 103470, 5486, 25132, 229, 11883, 117501, 29295, 119448, 47884, 23226, 106594, 30512, 103792, 9174, 51330, 25963, 8107, 56965, 16556, 5486, 2031, 32307, 107707, 111482, 29295, 17039, 28713, 20230, 106222, 117158, 38144, 122502, 50834, 15682, 100204, 109013, 1811, 56965, 121953, 103470, 51330, 125525, 106613, 111587, 15682, 17039, 102800, 112169, 20230, 21105, 96, 107277, 19732, 63105, 113, 30512, 102769, 100472, 1811, 112371, 104328, 110371, 89753, 33121, 30512, 82533, 107436, 112987, 124324, 9174, 104959, 73361, 32977, 77693, 108422, 33121, 20230, 53901, 109369, 19732, 16937, 109369, 30512, 103721, 108, 31431, 104196, 127145, 29295, 5486, 868, 8107, 71689, 106307, 102532, 86354, 116499, 91763, 30297, 104466, 23039, 107462, 100604, 102677, 29504, 15682, 51330, 102433, 103378, 38641, 1811, 99849, 125001, 124324, 104865, 11571, 122571, 5486, 110886, 16144, 113160, 49988, 118816, 104195, 47884, 91763, 76947, 61689, 1811, 103005, 101129, 98369, 55031, 108068, 21990, 32943, 34273, 96, 102416, 60634, 31431, 5486, 75513, 112607, 29295, 127284, 39926, 5486, 107040, 102, 58911, 32943, 34273, 96, 5486, 86894, 227, 32943, 34273, 96, 5486, 80539, 5486, 102212, 101129, 32943, 34273, 96, 1811, 44597, 31640, 106307, 102334, 32943, 34273, 96, 5486, 110022, 22649, 27384, 113524, 15682, 20713, 8107, 67016, 32977, 28713, 104435, 116233, 127211, 113524, 15682, 46702, 113746, 16556, 39209, 31640, 30512, 107113, 116233, 1811, 114387, 110886, 16556, 5486, 17129, 107173, 20230, 109215, 26854, 126101, 109215, 26854, 126238, 105047, 103359, 105226, 30512, 76537, 125655, 48634, 104195, 16995, 110886, 30512, 25580, 103130, 124545, 5486, 114387, 106592, 108608, 116497, 126758, 9174, 51385, 98406, 32943, 34273, 96, 5486, 107963, 101832, 25963, 8107, 109807, 56965, 110745, 113524, 15682, 102717, 19732, 124592, 31640, 78183, 121140, 5486, 120175, 100815, 102532, 120766, 39926, 15120, 32938, 103435, 116, 51609, 5486, 117876, 20230, 108167, 103214, 104004, 105908, 103082, 28713, 1811, 56965, 121953, 103470, 13153, 28873, 30512, 51330, 29504, 20230, 58318, 58942, 100934, 116233, 1811, 112371, 104328, 51385, 98406, 32943, 34273, 96, 30512, 5486, 108031, 114715, 106307, 76622, 107726, 100481, 90620, 50834, 33541, 104466, 64209, 55031, 33334, 124730, 30512, 102782, 15024, 109415, 33541, 9174, 85701, 55031, 106222, 118788, 30512, 105843, 103350, 107726, 100481, 107188, 118145, 26854, 31431, 107515, 1811, 66378, 113598, 103927, 103202, 29295, 102780, 31431, 100604, 5486, 33563, 101662, 104674, 29295, 5486, 68408, 25197, 125175, 120690, 29295, 5486, 37823, 102040, 91482, 37823, 120690, 29295, 102780, 31431, 100604, 116233, 119520, 5486, 106222, 118788, 102677, 104468, 106116, 125525, 29504, 48634, 20230, 106608, 100204, 28713, 125175, 67016, 118765, 109807, 125525, 29504, 48634, 29295, 119448, 118145, 5486, 103005, 55228, 231, 32977, 53900, 119448, 47884, 109020, 116233, 1811, 29504, 48634, 107118, 127091, 11571, 106613, 111587, 48634, 38641, 1811, 106613, 111587, 29295, 121410, 8107, 5486, 13153, 101544, 109768, 32149, 103470, 38144, 112987, 124324, 116233, 9174, 112371, 104328, 115408, 5486, 104500, 22656, 17161, 31958, 102647, 123680, 16556, 104284, 28713, 127397, 72315, 113637, 104773, 16144, 113009, 5486, 35086, 233, 104858, 16144, 113009, 123085, 16144, 113009, 37087, 48634, 16556, 122502, 50834, 33541, 1811, 112371, 104328, 48154, 122521, 16995, 90620, 50834, 33541, 20230, 64209, 55031, 33334, 124730, 30512, 102782, 15024, 109415, 33541, 1811, 128001, 128000, 65299, 102756, 66953, 101198, 16144, 121995, 15682, 112294, 107079, 104195, 102456, 118729, 16144, 47523, 17599, 112, 16556, 5486, 65299, 102756, 66953, 101198, 15682, 45923, 123082, 30512, 96412, 104004, 9080, 106063, 103460, 10110, 104195, 120732, 103472, 30926, 123120, 5486, 47523, 15682, 117976, 105838, 103646, 110366, 16144, 59795, 9458, 116696, 47260, 9458, 89154, 108994, 102860, 10110, 112294, 7705, 102677, 108323, 107407, 16144, 38641, 1811, 220, 20, 87217, 30832, 20230, 120824, 103468, 78519, 15682, 114318, 111243, 31809, 30813, 26854, 78519, 16556, 56051, 1811, 220, 110924, 16556, 108768, 91482, 20230, 101042, 249, 17129, 104028, 118733, 5486, 30358, 47884, 38144, 69978, 76947, 23039, 124324, 111006, 30512, 22324, 102532, 115364, 78519, 20230, 112454, 30369, 103846, 103351, 105879, 56051, 9174, 105994, 77181, 106767, 111800, 72342, 101860, 5486, 115364, 78519, 20230, 99849, 107407, 104865, 110241, 31431, 107515, 9174, 80699, 58911, 97718, 25197, 32131, 71634, 10110, 121995, 7705, 30512, 50338, 108323, 39926, 50834, 79721, 1811, 59757, 107277, 40862, 119841, 120208, 30512, 108623, 107800, 110674, 119436, 115717, 123334, 29295, 38144, 80805, 25197, 42634, 67075, 121711, 33541, 1811, 108312, 45829, 103826, 16144, 101987, 104127, 102334, 78519, 20230, 105693, 104468, 18, 118821, 80699, 58911, 19732, 110745, 50834, 115737, 104533, 78519, 30512, 127258, 39926, 114732, 66953, 90962, 66953, 52884, 16144, 76505, 1811, 914, 198, 51330, 80699, 58911, 16144, 121995, 10110, 25197, 32131, 71634, 7705, 32977, 101182, 115552, 29295, 125062, 110731, 19732, 117952, 106824, 61689, 9174, 7285, 20, 8107, 5486, 107850, 23039, 126867, 60868, 102040, 32131, 120843, 78256, 254, 20230, 16937, 39177, 100815, 1811, 220, 122582, 50534, 99, 106106, 113468, 117976, 105838, 103646, 125525, 110783, 30512, 43568, 103984, 54926, 100909, 116787, 5486, 60868, 16073, 104023, 57933, 41758, 115478, 99695, 37823, 15682, 102131, 56051, 119436, 105459, 30512, 66776, 111108, 16144, 103359, 47523, 20230, 56051, 102944, 19732, 113727, 102204, 33541, 1811, 19, 198, 51330, 117591, 45923, 103621, 64178, 105647, 19732, 16325, 56965, 105647, 15682, 103188, 106266, 26854, 102404, 78244, 30512, 103721, 108, 31431, 104196, 15024, 5486, 25197, 32131, 71634, 16556, 78244, 116285, 76706, 80699, 58911, 20230, 30591, 115926, 33541, 9174, 58291, 16995, 15682, 5486, 17297, 61304, 47307, 41758, 30512, 47260, 93298, 5486, 127574, 31431, 122382, 39926, 33334, 33655, 16995, 72315, 1811, 1627, 198, 78519, 16144, 101538, 45829, 118969, 102052, 103826, 104680, 26854, 107391, 119539, 102514, 125334, 38144, 50834, 33541, 29295, 5486, 112238, 72369, 78767, 39880, 91062, 32943, 105352, 110924, 32149, 21105, 241, 20230, 30813, 31431, 102639, 103470, 48706, 78434, 9174, 60868, 108304, 41758, 115478, 99695, 37823, 32977, 114817, 43167, 114475, 76622, 33541, 1811, 113170, 112568, 104067, 15682, 112832, 19732, 121602, 47884, 101538, 45829, 118969, 1811, 220, 59739, 109709, 106135, 33671, 102616, 27384, 102669, 16556, 52591, 93488, 117718, 120007, 29504, 115287, 5486, 20119, 95, 100818, 116, 18, 125525, 106592, 30591, 33503, 78183, 126020, 110371, 220, 18, 118821, 29504, 30512, 54322, 22324, 54926, 118733, 78519, 29295, 105150, 127258, 107001, 5486, 59739, 109709, 102616, 29295, 105150, 127258, 116216, 114732, 102677, 30926, 30512, 108044, 58942, 101200, 103306, 102334, 16144, 38641, 1811, 717, 198, 114387, 100909, 115408, 105459, 32977, 115364, 45829, 67645, 32977, 71289, 105268, 16995, 17792, 107294, 108064, 16995, 119852, 103801, 16995, 102131, 38641, 123794, 9174, 101538, 45829, 118969, 15682, 66953, 32131, 16144, 102185, 113115, 54926, 33334, 106483, 117714, 16937, 22023, 99750, 55031, 5486, 115364, 78519, 30512, 20834, 38144, 23039, 47884, 106592, 104662, 64889, 106116, 74482, 118969, 75694 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 122225, 103646, 16144, 38641, 1811, 42016, 114373, 38093, 29295, 109606, 103984, 56051, 104468, 5486, 17297, 61304, 16144, 34617, 28542, 38641, 9174, 118075, 105490, 226, 23, 103633, 107707, 125104, 106718, 16144, 2118, 126794, 30512, 50928, 101860, 863, 20230, 14167, 100, 65854, 114435, 20230, 121568, 108134, 30512, 122626, 56051, 100909, 9174, 7, 72958, 121980, 44620, 121568, 108134, 123050, 25333, 36761, 15682, 123213, 107707, 126794, 110214, 20230, 121568, 108134, 30512, 109790, 30046, 20230, 104908, 54926, 106592, 108493, 100204, 127280, 340, 119560, 110927, 37689, 30512, 50928, 101732, 107740, 30046, 7, 103664, 2075, 11, 931, 17792, 8, 113115, 120837, 13177, 107740, 113173, 10646, 123160, 122984, 29295, 127242, 107113, 100909, 79922, 16, 29, 104076, 126892, 220, 22, 9953, 20230, 13177, 121568, 108134, 123050, 114373, 38093, 10646, 55031, 64467, 112419, 114475, 105784, 103296, 127749, 30512, 54322, 22324, 107113, 108695, 16144, 40452, 33014, 44416, 16144, 16937, 104874, 9174, 79922, 16, 29, 108477, 105, 31958, 29295, 127242, 107113, 198, 37823, 29220, 33710, 84477, 107391, 104612, 15682, 5486, 116229, 107740, 106045, 103664, 20230, 13177, 118935, 11883, 112415, 111983, 103129, 16144, 103846, 5486, 107740, 114435, 20230, 108134, 104908, 54926, 105908, 101182, 66383, 61304, 107121, 103792, 103306, 5486, 104971, 125104, 112919, 126794, 30512, 50928, 101732, 83354, 19732, 36668, 105714, 121256, 29295, 110371, 122984, 55031, 107740, 30046, 29295, 108446, 50928, 54926, 104468, 111108, 102800, 106046, 123671, 33541, 9174, 111344, 8239, 112, 122502, 91077, 32977, 23, 9953, 17905, 6079, 105, 5486, 42016, 61337, 20230, 104873, 112984, 109156, 31431, 79721, 9174, 44620, 107430, 101275, 51385, 23187, 25333, 36761, 16144, 64467, 13393, 251, 15682, 5486, 104971, 121568, 108134, 16144, 109431, 102769, 26854, 40452, 83354, 30512, 32018, 107436, 108086, 5486, 108010, 95543, 29295, 30591, 104984, 32938, 36651, 16144, 112950, 21990, 8239, 112, 122502, 27384, 113524, 111848, 13177, 107338, 64467, 106839, 10646, 29295, 23039, 123671, 33541, 9174, 37271, 18904, 16144, 126465, 15682, 5486, 106718, 110366, 55031, 126794, 30512, 50928, 28713, 32149, 33476, 111201, 32149, 124233, 121140, 5486, 42016, 25333, 29295, 108493, 101860, 30369, 13177, 115612, 26854, 114667, 16144, 100604, 5486, 121568, 108134, 16144, 48915, 34048, 111363, 104908, 20230, 30591, 28713, 30369, 66383, 122225, 103646, 102944, 38641, 9174, 53283, 33503, 112179, 122756, 43167, 62004, 109115, 119526, 16556, 105994, 29295, 2118, 107624, 95001, 863, 84389, 5486, 105994, 105459, 124911, 21990, 71289, 106222, 29295, 119448, 47884, 118396, 107001, 26123, 102677, 102321, 103350, 29295, 37271, 17129, 30813, 20230, 125119, 76947, 61689, 9174, 51330, 100909, 109853, 101200, 71289, 47884, 105212, 32977, 22656, 115519, 30512, 122765, 30369, 101200, 117084, 50834, 79721, 29295, 5486, 16606, 104309, 72661, 112361, 105933, 105908, 125119, 76947, 61689, 9174, 121568, 108134, 15682, 36896, 64467, 27869, 233, 66383, 126419, 102677, 17792, 32977, 107991, 104466, 5486, 118823, 16144, 102616, 77181, 95221, 109669, 107188, 95604, 43514, 20230, 105994, 126027, 108134, 29295, 113692, 70892, 116, 20230, 110731, 102321, 103350, 102052, 115515, 74482, 95221, 30512, 122382, 100481, 105898, 16995, 125651, 1811, 128001, 128000, 567, 220, 717, 9953, 22, 9080, 73958, 102212, 103449, 49409, 40526, 113245, 104500, 22656, 17161, 31958, 104773, 103892, 102446, 108323, 10110, 91875, 55723, 19732, 57933, 62903, 71634, 23954, 104500, 22656, 17161, 31958, 78507, 245, 103892, 102446, 108323, 10110, 717, 14, 22, 73958, 102212, 103449, 49409, 40526, 23954, 37271, 27479, 16144, 102647, 123680, 16556, 86127, 29295, 126014, 107290, 108086, 33541, 104468, 5486, 86354, 95221, 30512, 103424, 47884, 39926, 25132, 229, 11883, 30512, 51385, 23187, 107726, 5486, 29504, 70821, 16144, 32938, 50928, 30512, 50834, 43514, 104043, 109415, 100481, 47884, 121906, 95604, 102433, 30512, 108167, 114941, 17663, 110371, 113495, 30512, 125821, 125821, 103130, 62004, 107726, 38144, 72315, 19732, 33334, 124730, 30512, 127145, 9174, 68408, 123646, 106613, 111587, 102677, 104468, 121410, 8107, 5486, 47043, 16144, 112603, 38574, 29295, 17297, 29295, 104533, 115963, 20230, 5486, 110698, 58318, 32977, 32938, 50928, 32977, 121410, 8107, 17297, 29295, 107462, 47884, 1811, 76171, 123646, 102677, 104468, 5486, 121410, 8107, 5486, 53953, 95001, 32977, 115442, 30369, 123682, 32977, 5486, 110226, 17701, 32977, 32938, 50928, 32977, 115079, 58942, 100481, 47884, 1811, 68408, 123646, 106613, 111587, 30512, 51330, 110674, 106307, 76622, 100481, 126145, 110371, 29504, 15682, 46729, 82420, 32977, 121568, 32977, 64121, 103171, 61826, 119703, 116233, 9174, 71289, 15682, 31431, 110371, 68408, 123646, 15682, 56906, 75267, 21105, 103, 47884, 100481, 112987, 124324, 1811, 124059, 32149, 101860, 59739, 72661, 121410, 8107, 5486, 51385, 23187, 112535, 110226, 17701, 29295, 115442, 107462, 47884, 5486, 33122, 72516, 16144, 105525, 31431, 109415, 29295, 115442, 107462, 47884, 108048, 16556, 100604, 19732, 110526, 114792, 38144, 100604, 9174, 109860, 115408, 127282, 51330, 125525, 106613, 111587, 30512, 13153, 101544, 54926, 106613, 111587, 102416, 69978, 107462, 105898, 117714, 38641, 9174, 104959, 73361, 15682, 108149, 16144, 16937, 109369, 107809, 16556, 25963, 113127, 102677, 30832, 105888, 112603, 30512, 15682, 121381, 31431, 19012, 110, 102639, 28713, 1811, 110229, 29295, 5486, 40265, 39177, 102433, 16144, 110886, 15682, 119448, 47884, 107960, 108267, 30512, 39926, 102532, 5486, 25963, 113127, 16144, 76171, 123646, 30832, 105888, 96455, 30512, 19012, 110, 102639, 30369, 105908, 103082, 104435, 1811, 51385, 98406, 32943, 34273, 96, 117084, 5486, 15682, 100204, 107436, 25963, 113127, 16144, 76171, 123646, 30832, 105888, 30512, 29504, 70821, 20230, 31958, 20379, 56051, 116233, 124845, 110371, 25963, 8107, 56965, 5486, 30832, 105888, 16144, 104067, 13153, 16144, 113009, 80988, 239, 105714, 121118, 116233, 9174, 118116, 108901, 40053, 26854, 35757, 45736, 123085, 16556, 49792, 75267, 29295, 47043, 30512, 16995, 126910, 19967, 114598, 102616, 16144, 117903, 20230, 37705, 100472, 39177, 102052, 121374, 114300, 106106, 16556, 104284, 109972, 101983, 110104, 1811, 109860, 5486, 125559, 20230, 49792, 75267, 71289, 101275, 29295, 89753, 20834, 109768, 100472, 109900, 103378, 126194, 123085, 16144, 112113, 29295, 102616, 20230, 67645, 124592, 25827, 17620, 107471, 109768, 100472, 124845, 110371, 29504, 102052, 5486, 49792, 75267, 30512, 119962, 62004, 124195, 5486, 107430, 30512, 21388, 100472, 114754, 36117, 95, 103468, 1811, 109860, 5486, 108901, 40053, 26854, 35757, 45736, 15682, 120953, 120837, 82533, 62004, 100604, 102083, 124324, 106046, 76947, 5486, 32149, 59739, 38144, 100604, 108901, 33671, 24186, 16144, 114734, 100783, 102, 34208, 30512, 125338, 35757, 51385, 20230, 106839, 102334, 116233, 9174, 113702, 123085, 117409, 16556, 19967, 100472, 47043, 16144, 127123, 114300, 106106, 123457, 108167, 114941, 17663, 105908, 103082, 28713, 124845, 5486, 25963, 8107, 56965, 16556, 1041, 32307, 17792, 30512, 72404, 105262, 17792, 105459, 20230, 17039, 102800, 25132, 229, 11883, 16144, 75267, 30512, 109832, 20834, 54926, 120266, 19653, 56051, 124845, 5486, 86436, 8107, 5486, 102832, 61398, 122060, 115991, 79721, 127211, 114435, 103378, 126194, 38144, 121270, 31809, 114435, 16144, 66224, 111017, 16144, 114435, 29295, 51330, 89753, 33121, 20230, 123532, 76947, 5486, 110698, 58318, 30512, 109415, 100934, 116233, 1811, 56965, 121953, 103470, 5486, 25132, 229, 11883, 117501, 29295, 119448, 47884, 23226, 106594, 30512, 103792, 9174, 51330, 25963, 8107, 56965, 16556, 5486, 2031, 32307, 107707, 111482, 29295, 17039, 28713, 20230, 106222, 117158, 38144, 122502, 50834, 15682, 100204, 109013, 1811, 56965, 121953, 103470, 51330, 125525, 106613, 111587, 15682, 17039, 102800, 112169, 20230, 21105, 96, 107277, 19732, 63105, 113, 30512, 102769, 100472, 1811, 112371, 104328, 110371, 89753, 33121, 30512, 82533, 107436, 112987, 124324, 9174, 104959, 73361, 32977, 77693, 108422, 33121, 20230, 53901, 109369, 19732, 16937, 109369, 30512, 103721, 108, 31431, 104196, 127145, 29295, 5486, 868, 8107, 71689, 106307, 102532, 86354, 116499, 91763, 30297, 104466, 23039, 107462, 100604, 102677, 29504, 15682, 51330, 102433, 103378, 38641, 1811, 99849, 125001, 124324, 104865, 11571, 122571, 5486, 110886, 16144, 113160, 49988, 118816, 104195, 47884, 91763, 76947, 61689, 1811, 103005, 101129, 98369, 55031, 108068, 21990, 32943, 34273, 96, 102416, 60634, 31431, 5486, 75513, 112607, 29295, 127284, 39926, 5486, 107040, 102, 58911, 32943, 34273, 96, 5486, 86894, 227, 32943, 34273, 96, 5486, 80539, 5486, 102212, 101129, 32943, 34273, 96, 1811, 44597, 31640, 106307, 102334, 32943, 34273, 96, 5486, 110022, 22649, 27384, 113524, 15682, 20713, 8107, 67016, 32977, 28713, 104435, 116233, 127211, 113524, 15682, 46702, 113746, 16556, 39209, 31640, 30512, 107113, 116233, 1811, 114387, 110886, 16556, 5486, 17129, 107173, 20230, 109215, 26854, 126101, 109215, 26854, 126238, 105047, 103359, 105226, 30512, 76537, 125655, 48634, 104195, 16995, 110886, 30512, 25580, 103130, 124545, 5486, 114387, 106592, 108608, 116497, 126758, 9174, 51385, 98406, 32943, 34273, 96, 5486, 107963, 101832, 25963, 8107, 109807, 56965, 110745, 113524, 15682, 102717, 19732, 124592, 31640, 78183, 121140, 5486, 120175, 100815, 102532, 120766, 39926, 15120, 32938, 103435, 116, 51609, 5486, 117876, 20230, 108167, 103214, 104004, 105908, 103082, 28713, 1811, 56965, 121953, 103470, 13153, 28873, 30512, 51330, 29504, 20230, 58318, 58942, 100934, 116233, 1811, 112371, 104328, 51385, 98406, 32943, 34273, 96, 30512, 5486, 108031, 114715, 106307, 76622, 107726, 100481, 90620, 50834, 33541, 104466, 64209, 55031, 33334, 124730, 30512, 102782, 15024, 109415, 33541, 9174, 85701, 55031, 106222, 118788, 30512, 105843, 103350, 107726, 100481, 107188, 118145, 26854, 31431, 107515, 1811, 66378, 113598, 103927, 103202, 29295, 102780, 31431, 100604, 5486, 33563, 101662, 104674, 29295, 5486, 68408, 25197, 125175, 120690, 29295, 5486, 37823, 102040, 91482, 37823, 120690, 29295, 102780, 31431, 100604, 116233, 119520, 5486, 106222, 118788, 102677, 104468, 106116, 125525, 29504, 48634, 20230, 106608, 100204, 28713, 125175, 67016, 118765, 109807, 125525, 29504, 48634, 29295, 119448, 118145, 5486, 103005, 55228, 231, 32977, 53900, 119448, 47884, 109020, 116233, 1811, 29504, 48634, 107118, 127091, 11571, 106613, 111587, 48634, 38641, 1811, 106613, 111587, 29295, 121410, 8107, 5486, 13153, 101544, 109768, 32149, 103470, 38144, 112987, 124324, 116233, 9174, 112371, 104328, 115408, 5486, 104500, 22656, 17161, 31958, 102647, 123680, 16556, 104284, 28713, 127397, 72315, 113637, 104773, 16144, 113009, 5486, 35086, 233, 104858, 16144, 113009, 123085, 16144, 113009, 37087, 48634, 16556, 122502, 50834, 33541, 1811, 112371, 104328, 48154, 122521, 16995, 90620, 50834, 33541, 20230, 64209, 55031, 33334, 124730, 30512, 102782, 15024, 109415, 33541, 1811, 128001, 128000, 65299, 102756, 66953, 101198, 16144, 121995, 15682, 112294, 107079, 104195, 102456, 118729, 16144, 47523, 17599, 112, 16556, 5486, 65299, 102756, 66953, 101198, 15682, 45923, 123082, 30512, 96412, 104004, 9080, 106063, 103460, 10110, 104195, 120732, 103472, 30926, 123120, 5486, 47523, 15682, 117976, 105838, 103646, 110366, 16144, 59795, 9458, 116696, 47260, 9458, 89154, 108994, 102860, 10110, 112294, 7705, 102677, 108323, 107407, 16144, 38641, 1811, 220, 20, 87217, 30832, 20230, 120824, 103468, 78519, 15682, 114318, 111243, 31809, 30813, 26854, 78519, 16556, 56051, 1811, 220, 110924, 16556, 108768, 91482, 20230, 101042, 249, 17129, 104028, 118733, 5486, 30358, 47884, 38144, 69978, 76947, 23039, 124324, 111006, 30512, 22324, 102532, 115364, 78519, 20230, 112454, 30369, 103846, 103351, 105879, 56051, 9174, 105994, 77181, 106767, 111800, 72342, 101860, 5486, 115364, 78519, 20230, 99849, 107407, 104865, 110241, 31431, 107515, 9174, 80699, 58911, 97718, 25197, 32131, 71634, 10110, 121995, 7705, 30512, 50338, 108323, 39926, 50834, 79721, 1811, 59757, 107277, 40862, 119841, 120208, 30512, 108623, 107800, 110674, 119436, 115717, 123334, 29295, 38144, 80805, 25197, 42634, 67075, 121711, 33541, 1811, 108312, 45829, 103826, 16144, 101987, 104127, 102334, 78519, 20230, 105693, 104468, 18, 118821, 80699, 58911, 19732, 110745, 50834, 115737, 104533, 78519, 30512, 127258, 39926, 114732, 66953, 90962, 66953, 52884, 16144, 76505, 1811, 914, 198, 51330, 80699, 58911, 16144, 121995, 10110, 25197, 32131, 71634, 7705, 32977, 101182, 115552, 29295, 125062, 110731, 19732, 117952, 106824, 61689, 9174, 7285, 20, 8107, 5486, 107850, 23039, 126867, 60868, 102040, 32131, 120843, 78256, 254, 20230, 16937, 39177, 100815, 1811, 220, 122582, 50534, 99, 106106, 113468, 117976, 105838, 103646, 125525, 110783, 30512, 43568, 103984, 54926, 100909, 116787, 5486, 60868, 16073, 104023, 57933, 41758, 115478, 99695, 37823, 15682, 102131, 56051, 119436, 105459, 30512, 66776, 111108, 16144, 103359, 47523, 20230, 56051, 102944, 19732, 113727, 102204, 33541, 1811, 19, 198, 51330, 117591, 45923, 103621, 64178, 105647, 19732, 16325, 56965, 105647, 15682, 103188, 106266, 26854, 102404, 78244, 30512, 103721, 108, 31431, 104196, 15024, 5486, 25197, 32131, 71634, 16556, 78244, 116285, 76706, 80699, 58911, 20230, 30591, 115926, 33541, 9174, 58291, 16995, 15682, 5486, 17297, 61304, 47307, 41758, 30512, 47260, 93298, 5486, 127574, 31431, 122382, 39926, 33334, 33655, 16995, 72315, 1811, 1627, 198, 78519, 16144, 101538, 45829, 118969, 102052, 103826, 104680, 26854, 107391, 119539, 102514, 125334, 38144, 50834, 33541, 29295, 5486, 112238, 72369, 78767, 39880, 91062, 32943, 105352, 110924, 32149, 21105, 241, 20230, 30813, 31431, 102639, 103470, 48706, 78434, 9174, 60868, 108304, 41758, 115478, 99695, 37823, 32977, 114817, 43167, 114475, 76622, 33541, 1811, 113170, 112568, 104067, 15682, 112832, 19732, 121602, 47884, 101538, 45829, 118969, 1811, 220, 59739, 109709, 106135, 33671, 102616, 27384, 102669, 16556, 52591, 93488, 117718, 120007, 29504, 115287, 5486, 20119, 95, 100818, 116, 18, 125525, 106592, 30591, 33503, 78183, 126020, 110371, 220, 18, 118821, 29504, 30512, 54322, 22324, 54926, 118733, 78519, 29295, 105150, 127258, 107001, 5486, 59739, 109709, 102616, 29295, 105150, 127258, 116216, 114732, 102677, 30926, 30512, 108044, 58942, 101200, 103306, 102334, 16144, 38641, 1811, 717, 198, 114387, 100909, 115408, 105459, 32977, 115364, 45829, 67645, 32977, 71289, 105268, 16995, 17792, 107294, 108064, 16995, 119852, 103801, 16995, 102131, 38641, 123794, 9174, 101538, 45829, 118969, 15682, 66953, 32131, 16144, 102185, 113115, 54926, 33334, 106483, 117714, 16937, 22023, 99750, 55031, 5486, 115364, 78519, 30512, 20834, 38144, 23039, 47884, 106592, 104662, 64889, 106116, 74482, 118969, 75694 ]
[ 17129, 26854, 78519, 30512, 62004, 104699, 31431, 5486, 114626, 20230, 109416, 47884, 10110, 107850, 23039, 101559, 120732, 107991, 127960, 102416, 28713, 67645, 31431, 100815, 50834, 33541, 1811, 45631, 27384, 30590, 16144, 117813, 103991, 115553, 107429, 232, 74482, 109297, 19361, 39880, 84477, 122148, 76739, 16073, 96452, 117163, 116326, 17039, 103558, 253, 72099, 95598, 9080, 102865, 23530, 7705, 36896, 119533, 101778, 17129, 43514, 91774, 101083, 116326, 101778, 108931, 119533, 101129, 24775, 7705, 36896, 55038, 16325, 35894, 103354, 39880, 84477, 107420, 109531, 110548, 116326, 55038, 112827, 55038, 16325, 23530, 7705, 104309, 113245, 106942, 125053, 16144, 43511, 120268, 104575, 104309, 30512, 107875, 55038, 20230, 45829, 67645, 32977, 104067, 19732, 106942, 71289, 35894, 56965, 126694, 31431, 109415, 100481, 47884, 102756, 105048, 102895, 103830, 32977, 43240, 9039, 103350, 102923, 103792, 1811, 18049, 122, 65299, 30512, 22957, 26854, 103792, 65299, 102756, 66953, 101198, 116056, 121995, 104088, 38144, 110901, 30591, 103435, 238, 32149, 102800, 66383, 95604, 116537, 43240, 117714, 111769, 123253, 32149, 11571, 45631, 30591, 33121, 5486, 116414, 32149, 16556, 91774, 28713, 100909, 101182, 108422, 66383, 95604, 24273, 32977, 33334, 110071, 32149, 110241, 33121, 107515, 1811, 975, 198, 10110, 125613, 240, 127618, 105301, 5486, 125613, 240, 105301, 7705, 6806, 107879, 113, 30512, 102181, 102532, 120700, 19732, 117943, 104004, 113587, 20230, 30297, 78183, 81219, 64121, 16144, 121995, 104088, 72342, 28713, 110229, 45631, 47523, 30512, 115320, 64121, 104526, 102189, 27384, 127618, 16144, 121995, 10646, 118816, 5486, 122984, 21105, 103, 47884, 111243, 113954, 39926, 122396, 16144, 38641, 9174, 17, 59739, 118322, 78519, 15682, 36896, 30297, 112179, 109416, 33121, 102571, 117503, 78519, 16556, 56051, 1811, 482, 106004, 33334, 105784, 27384, 127618, 6806, 220, 104409, 28713, 105933, 127749, 71289, 116690, 16144, 26854, 32149, 16556, 115408, 105459, 30512, 107202, 15024, 109013, 31431, 5486, 30297, 17129, 47884, 105104, 30369, 17129, 30297, 106592, 100525, 101, 102639, 30369, 16144, 38641, 1811, 220, 72661, 5486, 58254, 228, 15682, 104662, 39926, 43568, 102147, 226, 111769, 19732, 106307, 76622, 33541, 1811, 1313, 198, 115953, 19113, 77181, 9085, 253, 240, 127618, 19732, 102181, 47884, 115789, 101182, 1811, 128001, 128000, 7511, 118455, 5232, 118455, 39442, 17620, 104770, 198, 124773, 123437, 67075, 112197, 32149, 102639, 32977, 101182, 104865, 5486, 118899, 105321, 72661, 114225, 20230, 198, 103899, 58942, 30512, 50928, 110071, 105908, 43240, 115737, 31431, 79721, 123794, 9174, 120065, 78183, 124403, 105908, 30591, 104984, 5486, 111800, 52084, 116229, 16556, 111800, 52084, 126693, 111476, 114225, 20230, 103899, 58942, 29295, 78183, 117295, 15024, 108048, 16556, 99959, 39850, 105110, 5486, 116414, 116421, 19012, 110, 20379, 88631, 20230, 198, 102181, 50834, 121423, 127564, 5486, 106759, 102769, 26854, 112832, 32149, 121944, 5486, 47307, 99959, 16556, 100927, 107290, 124089, 9174, 72661, 121906, 95604, 16144, 76947, 5486, 57980, 123232, 47884, 78698, 107290, 64121, 104984, 5486, 101182, 115552, 111476, 17663, 48154, 47884, 109688, 117126, 26854, 100909, 110034, 107188, 76947, 9174, 86127, 105459, 120268, 104575, 110162, 16556, 5486, 103899, 58942, 30512, 121406, 41007, 30512, 53508, 231, 104195, 121256, 123794, 9174, 32977, 43514, 85791, 25827, 5486, 103899, 58942, 30512, 15120, 21990, 103435, 116, 51609, 112854, 107800, 115789, 105693, 107493, 5486, 104575, 15682, 22656, 37507, 198, 103899, 58942, 30512, 109163, 61304, 54926, 110229, 126194, 5486, 103899, 58942, 30512, 121406, 124122, 113727, 24273, 30512, 48864, 104369, 198, 110229, 104468, 101860, 9174, 110241, 5486, 115856, 76622, 70203, 16144, 113727, 24273, 30512, 112854, 58942, 101860, 5486, 103899, 58942, 103378, 30512, 112854, 58942, 101732, 33503, 111476, 103178, 103178, 10110, 29220, 29220, 7705, 116749, 16144, 109163, 61304, 109768, 100604, 115856, 76622, 70203, 15682, 5486, 50338, 124324, 9174, 110241, 5486, 114654, 16144, 106391, 17161, 30512, 113954, 72342, 101860, 5486, 113692, 109163, 61304, 107113, 33503, 111476, 2028, 374, 264, 5869, 110162, 115132, 114740, 16144, 29504, 102185, 15682, 71493, 123437, 38248, 115, 78205, 16073, 5486, 115226, 26854, 198, 33655, 119841, 99959, 106901, 44971, 110162, 5486, 100927, 70626, 102181, 20230, 107121, 103836, 83125, 67016, 87177, 72342, 100604, 9174, 7, 118899, 5486, 100927, 70626, 102181, 16144, 44915, 32977, 124500, 103836, 114420, 55031, 5486, 77386, 85701, 104655, 102532, 198, 112425, 29295, 81219, 106824, 103801, 16995, 102131, 125743, 49940, 239, 340, 99849, 125001, 102334, 118544, 102677, 19732, 5486, 125821, 33655, 105262, 114654, 16144, 99959, 106901, 44971, 30512, 100927, 107290, 120700, 9522, 104446, 104435, 110745, 17792, 101983, 114598, 5486, 85707, 107436, 16144, 106592, 48864, 104369, 110018, 15682, 103899, 58942, 104446, 103470, 38144, 111476, 113727, 24273, 55031, 48864, 104369, 125231, 110034, 32149, 19732, 9174, 67016, 32977, 114318, 114598, 16937, 106515, 26854, 120266, 115408, 104067, 102433, 116537, 5486, 104575, 16556, 33334, 35330, 16144, 106592, 198, 121019, 100927, 107290, 32977, 33503, 107462, 100604, 116233, 9174, 123726, 100481, 47884, 110115, 112160, 87217, 19732, 117952, 100604, 17129, 72661, 5486, 107188, 31431, 107693, 26854, 100909, 103195, 105352, 198, 97518, 78183, 121140, 5486, 38641, 57980, 106609, 67016, 32977, 108948, 35330, 16144, 106592, 17792, 25580, 16556, 87177, 17663, 104468, 5486, 64121, 104043, 126758, 100909, 36785, 111476, 26854, 108861, 25827, 38144, 95604, 114318, 25827, 72661, 100604, 107591, 118273, 19967, 25333, 103296, 109178, 58942, 126268, 102204, 104702, 76947, 9522, 115173, 68759, 44620, 115173, 103621, 16073, 44559, 250, 36761, 16556, 30297, 17129, 16995, 21405, 102321, 124905, 107462, 79721, 123794, 9174, 44620, 103892, 16144, 104712, 104930, 103223, 29295, 5486, 103892, 16144, 109161, 16995, 104930, 103223, 55031, 102729, 122, 18655, 54926, 113009, 19967, 100472, 5486, 72368, 40862, 16144, 104712, 33710, 64178, 36761, 198, 120885, 9174, 107943, 109688, 101513, 9554, 121894, 26854, 110115, 124620, 85701, 5486, 78183, 124403, 55031, 100927, 107290, 36761, 114016, 111476, 76171, 105335, 52414, 105284, 99397, 30512, 80172, 102639, 32149, 107441, 5486, 112832, 111201, 100927, 107290, 32977, 33503, 30297, 16144, 76947, 5486, 17663, 48154, 47884, 198, 109688, 100604, 100909, 36785, 119150, 116233, 9174, 28713, 19732, 58942, 33334, 35330, 15682, 107792, 103664, 120837, 5486, 28713, 19732, 58942, 82973, 15682, 107792, 103664, 120837, 5486, 78698, 105262, 100909, 103378, 15682, 198, 107792, 103664, 56051, 47884, 100604, 125651, 9174, 76171, 105335, 52414, 26854, 103899, 58942, 120937, 107493, 5486, 102729, 122, 18655, 84389, 100604, 103892, 116825, 109749, 39850, 33710, 68759, 102472, 198, 10110, 67016, 32977, 5486, 33655, 105262, 11571, 99959, 106901, 44971, 114308, 119735, 117896, 9174, 11144, 110589, 16144, 31809, 87177, 112479, 113909, 16073, 19732, 103672, 52884, 29295, 113850, 56965, 19732, 126419, 20230, 101701, 115195, 16556, 66953, 25005, 247, 62903, 109496, 30512, 126407, 104127, 16995, 79721, 9174, 110229, 29295, 103672, 52884, 15682, 5486, 102780, 30512, 119870, 64121, 48915, 39926, 101701, 20230, 108436, 102936, 15024, 5486, 89753, 116216, 103801, 16995, 79721, 9174, 113909, 16073, 15682, 5486, 103672, 52884, 30512, 103129, 76622, 101200, 19732, 5486, 111418, 55031, 112909, 110137, 81219, 15024, 124620, 36227, 757, 701, 1450, 0, 36761, 198, 19732, 99849, 27479, 32977, 105424, 102802, 79721, 9174, 72661, 117119, 27479, 105424, 25827, 72661, 103672, 52884, 15682, 112909, 104364, 15024, 20834, 103801, 72342, 25827, 9174, 110924, 16556, 5486, 113909, 16073, 15682, 124620, 102131, 36785, 5486, 103672, 52884, 15682, 19732, 114598, 102663, 78459, 26854, 71289, 59739, 103351, 102189, 36761, 19732, 198, 114284, 121216, 124620, 18293, 856, 1450, 0, 36761, 19732, 105424, 102802, 79721, 9174, 10110, 104702, 33503, 33503, 33503, 33503, 11972, 25827, 40620, 23954, 112990, 120953, 56051, 118733, 109954, 9174, 105321, 19732, 5486, 103672, 52884, 29295, 17663, 103171, 111842, 112909, 104364, 15024, 121406, 77181, 124897, 32149, 9174, 112500, 96356, 109904, 113909, 16073, 112197, 32149, 102639, 16556, 5486, 103672, 52884, 15682, 15120, 51609, 30512, 108167, 104650, 109315, 105908, 103082, 111476, 77693, 126328, 5486, 102663, 78459, 26854, 34171, 35083, 30512, 23226, 109315, 101200, 115717, 79721, 9174, 80539, 5486, 113909, 16073, 15682, 106116, 114487, 64121, 26854, 34171, 35083, 23226, 67178, 16144, 117395, 30512, 104736, 62004, 102204, 5486, 108064, 67016, 116537, 198, 103031, 16144, 106592, 44620, 112690, 16144, 102676, 103991, 104599, 36761, 19732, 105324, 104369, 101200, 115717, 79721, 1811, 19732, 30813, 1811, 128001, 128000, 126783, 15682, 107707, 123726, 24273, 58426, 102944, 1811, 117145, 112028, 34048, 108176, 105933, 48706, 198, 13177, 126783, 15682, 58426, 107707, 123726, 24273, 58426, 102944, 38641, 109807, 114754, 44597, 8107, 78250, 8107, 19732, 101987, 102189, 110018, 20230, 106116, 107707, 117145, 112028, 34048, 108176, 105933, 48706, 16556, 100604, 102083, 124324, 119150, 1811, 126783, 107118, 102131, 95604, 102944, 38641, 10646, 9174, 102494, 99959, 16073, 37823, 91482, 94550, 12422, 18476, 16144, 112959, 103892, 66378, 43167, 13177, 51385, 105635, 112427, 105330, 16144, 117145, 16144, 127178, 117503, 18655, 103234, 39177, 114318, 111243, 104371, 47523, 9554, 103351, 127178, 46729, 9458, 51385, 105635, 112427, 105330, 115867, 112690, 38641, 9174, 102616, 102208, 29504, 16556, 27384, 112495, 107420, 109531, 110548, 30512, 9039, 43240, 47884, 46034, 115856, 105784, 127178, 46729, 15682, 5486, 126783, 102677, 113404, 16144, 102321, 75267, 55031, 106627, 106824, 114732, 115789, 127181, 1811, 72661, 5486, 51385, 105635, 117940, 104662, 39926, 126783, 16144, 102321, 75267, 55031, 106627, 104028, 109335, 21105, 103, 16995, 9174, 122582, 124563, 112371, 26854, 120900, 11571, 103899, 58942, 29295, 102717, 106624, 38144, 115515, 18904, 124773, 91482, 109496, 16144, 44915, 15682, 126783, 16144, 113404, 109853, 43240, 47884, 17885, 118, 16995, 79721, 9174, 51385, 105635, 112427, 105330, 98369, 125030, 76947, 16144, 126783, 107118, 95532, 13177, 126783, 15682, 127178, 16144, 53229, 28542, 107173, 16995, 58942, 33541, 1811, 126783, 15682, 71289, 29295, 38144, 101987, 64121, 46034, 16144, 117145, 112028, 34048, 117282, 116233, 1811, 117145, 16144, 101987, 104004, 46729, 15682, 59614, 101860, 127258, 107001, 100909, 103470, 48706, 15024, 106307, 105784, 116233, 111329, 51385, 105635, 117940, 123357, 32938, 30512, 15682, 100204, 107436, 55031, 101860, 104043, 5486, 116033, 25963, 100818, 240, 113314, 15682, 126783, 30512, 46034, 115856, 76622, 100934, 102677, 9174, 13177, 114516, 112028, 21990, 121960, 5486, 126783, 15682, 27384, 112495, 115552, 30512, 32977, 103836, 105272, 106046, 61689, 1811, 123671, 123671, 15682, 77693, 108680, 37689, 104577, 16144, 101182, 117876, 30512, 127145, 1811, 110382, 20230, 67016, 118765, 126783, 107407, 104466, 5486, 110382, 20230, 67016, 21990, 17129, 110615, 122013, 107407, 1811, 101987, 17129, 16995, 15682, 107707, 61304, 125534, 20230, 102987, 47884, 106145, 17129, 106824, 5486, 64209, 107809, 20230, 123726, 106307, 105784, 1811, 126783, 16144, 113404, 15682, 114318, 111243, 107693, 16556, 71289, 31431, 125001, 107407, 102944, 38641, 1811, 105268, 16995, 113404, 30046, 29295, 127178, 30512, 48864, 104369, 101513, 38093, 103306, 32977, 27384, 102769, 123253, 10646, 9174, 82973, 16144, 110008, 17663, 48249, 31431, 126783, 114556, 78183, 107462, 105898, 16995, 198, 51385, 105635, 117940, 22398, 107059, 103830, 120740, 91482, 123186, 29295, 103721, 108, 31431, 104196, 107001, 102433, 121960, 5486, 127178, 5486, 66378, 20230, 126783, 126636, 102769, 30813, 30512, 5486, 115303, 59739, 115303, 59739, 104257, 121370, 20230, 112690, 30512, 27869, 94, 105557, 36785, 107113, 116499, 78434, 9174, 13177, 32977, 43514, 85791, 25827, 126783, 113404, 102052, 5486, 53283, 109904, 33014, 48634, 19732, 107079, 33014, 109904, 33014, 48634, 29295, 107991, 1811, 77195, 20230, 109972, 124324, 120208, 19732, 17039, 102800, 102944, 116825, 47884, 31431, 121406, 40474, 107969, 32977, 109215, 38641, 1811, 112825, 110904, 111769, 119520, 115408, 15682, 82973, 16144, 110008, 17663, 48249, 31431, 5486, 126783, 114556, 78183, 107462, 105898, 16995, 106046, 76947, 61689, 111329, 126783, 15682, 122013, 29295, 127331, 33503, 17663, 75267, 116787, 5486, 118522, 127178, 107118, 108901, 26854, 31431, 5486, 122013, 16144, 102803, 52591, 105335, 106696, 29295, 32335, 104622, 61826, 38641, 15024, 5486, 104398, 107188, 31634, 103192, 5486, 101987, 64121, 46034, 16144, 57326, 102803, 66953, 57207, 115247, 105184, 33563, 104309, 5486, 163, 35911, 28741, 26854, 113404, 48634, 29295, 105318, 84389, 104533, 29295, 127181, 105879, 5486, 107188, 111331, 102831, 95221, 19732, 40474, 107969, 29295, 109215, 9174, 77413, 111182, 38093, 13177, 51385, 105635, 112427, 105330, 77413, 51753, 114099, 102669, 63072, 10646, 16144, 112798, 103892, 16144, 22398, 70563, 113335, 72661, 5486, 51385, 105635, 98369, 119279, 42891, 116826, 106358, 13177, 116537, 110924, 20230, 67016, 100604, 102944, 107407, 116245, 30512, 120824, 103468, 115737, 31431, 33541, 66383, 95604, 112690, 105352, 33035, 100204, 30369, 102944, 115991, 79721, 9174, 85701, 117758, 102433, 20230, 109215, 26854, 102944, 109900, 15682, 93056, 110924, 20230, 67016, 100604, 117145, 16144, 127178, 863, 116787, 93056, 110924, 20230, 67016, 100604, 117145, 16144, 126783, 863, 126529, 38641, 9174, 51385, 105635, 112427, 105330, 98369, 113404, 16144, 46729, 15682, 101987, 64121, 20230, 47884, 16995, 6447, 11571, 58426, 89151, 37689, 107118, 95532, 51385, 105635, 112427, 105330, 115867, 68408, 91482, 109496, 19967, 103195, 127178, 124052, 108363, 114475, 108363, 56051, 13177, 101987, 104521, 16144, 101544, 102571, 118587, 15682, 100204, 62004, 5486, 102494, 99959, 16073, 37823, 91482, 94550, 77181, 51385, 105635, 115867, 9039, 104680, 16144, 106942, 32977, 19012, 110, 107121, 39926, 50834, 79721, 9174, 51385, 105635, 115867, 40526, 23706, 244, 20230, 60358, 16995, 13177, 112418, 16144, 59739, 109749, 46729, 15682, 101987, 64121, 20230, 47884, 16995, 38641, 57980, 92193, 7705, 10646, 102677, 112690, 9174, 58426, 112690, 16144, 124858, 117083, 102944, 109900, 15682, 101987, 64121, 126172, 16995, 105908, 103378, 29295, 126783, 20230, 109215, 26854, 31634, 72238, 111769, 102677, 100909, 26854, 105879, 109954, 9174, 13177, 101987, 104521, 16144, 101544, 102571, 117503, 101987, 64121, 46034, 15682, 13177, 51385, 105635, 115867, 126783, 20230, 101987, 64121, 106307, 107441, 2118, 123726, 30369, 120266, 72406, 121, 50834, 104435, 863, 10646, 19732, 102158, 76947, 61689, 9174, 106786, 29295, 105104, 104984, 101427, 246, 30512, 30813, 15024, 121270, 107983, 30512, 110968 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17129, 26854, 78519, 30512, 62004, 104699, 31431, 5486, 114626, 20230, 109416, 47884, 10110, 107850, 23039, 101559, 120732, 107991, 127960, 102416, 28713, 67645, 31431, 100815, 50834, 33541, 1811, 45631, 27384, 30590, 16144, 117813, 103991, 115553, 107429, 232, 74482, 109297, 19361, 39880, 84477, 122148, 76739, 16073, 96452, 117163, 116326, 17039, 103558, 253, 72099, 95598, 9080, 102865, 23530, 7705, 36896, 119533, 101778, 17129, 43514, 91774, 101083, 116326, 101778, 108931, 119533, 101129, 24775, 7705, 36896, 55038, 16325, 35894, 103354, 39880, 84477, 107420, 109531, 110548, 116326, 55038, 112827, 55038, 16325, 23530, 7705, 104309, 113245, 106942, 125053, 16144, 43511, 120268, 104575, 104309, 30512, 107875, 55038, 20230, 45829, 67645, 32977, 104067, 19732, 106942, 71289, 35894, 56965, 126694, 31431, 109415, 100481, 47884, 102756, 105048, 102895, 103830, 32977, 43240, 9039, 103350, 102923, 103792, 1811, 18049, 122, 65299, 30512, 22957, 26854, 103792, 65299, 102756, 66953, 101198, 116056, 121995, 104088, 38144, 110901, 30591, 103435, 238, 32149, 102800, 66383, 95604, 116537, 43240, 117714, 111769, 123253, 32149, 11571, 45631, 30591, 33121, 5486, 116414, 32149, 16556, 91774, 28713, 100909, 101182, 108422, 66383, 95604, 24273, 32977, 33334, 110071, 32149, 110241, 33121, 107515, 1811, 975, 198, 10110, 125613, 240, 127618, 105301, 5486, 125613, 240, 105301, 7705, 6806, 107879, 113, 30512, 102181, 102532, 120700, 19732, 117943, 104004, 113587, 20230, 30297, 78183, 81219, 64121, 16144, 121995, 104088, 72342, 28713, 110229, 45631, 47523, 30512, 115320, 64121, 104526, 102189, 27384, 127618, 16144, 121995, 10646, 118816, 5486, 122984, 21105, 103, 47884, 111243, 113954, 39926, 122396, 16144, 38641, 9174, 17, 59739, 118322, 78519, 15682, 36896, 30297, 112179, 109416, 33121, 102571, 117503, 78519, 16556, 56051, 1811, 482, 106004, 33334, 105784, 27384, 127618, 6806, 220, 104409, 28713, 105933, 127749, 71289, 116690, 16144, 26854, 32149, 16556, 115408, 105459, 30512, 107202, 15024, 109013, 31431, 5486, 30297, 17129, 47884, 105104, 30369, 17129, 30297, 106592, 100525, 101, 102639, 30369, 16144, 38641, 1811, 220, 72661, 5486, 58254, 228, 15682, 104662, 39926, 43568, 102147, 226, 111769, 19732, 106307, 76622, 33541, 1811, 1313, 198, 115953, 19113, 77181, 9085, 253, 240, 127618, 19732, 102181, 47884, 115789, 101182, 1811, 128001, 128000, 7511, 118455, 5232, 118455, 39442, 17620, 104770, 198, 124773, 123437, 67075, 112197, 32149, 102639, 32977, 101182, 104865, 5486, 118899, 105321, 72661, 114225, 20230, 198, 103899, 58942, 30512, 50928, 110071, 105908, 43240, 115737, 31431, 79721, 123794, 9174, 120065, 78183, 124403, 105908, 30591, 104984, 5486, 111800, 52084, 116229, 16556, 111800, 52084, 126693, 111476, 114225, 20230, 103899, 58942, 29295, 78183, 117295, 15024, 108048, 16556, 99959, 39850, 105110, 5486, 116414, 116421, 19012, 110, 20379, 88631, 20230, 198, 102181, 50834, 121423, 127564, 5486, 106759, 102769, 26854, 112832, 32149, 121944, 5486, 47307, 99959, 16556, 100927, 107290, 124089, 9174, 72661, 121906, 95604, 16144, 76947, 5486, 57980, 123232, 47884, 78698, 107290, 64121, 104984, 5486, 101182, 115552, 111476, 17663, 48154, 47884, 109688, 117126, 26854, 100909, 110034, 107188, 76947, 9174, 86127, 105459, 120268, 104575, 110162, 16556, 5486, 103899, 58942, 30512, 121406, 41007, 30512, 53508, 231, 104195, 121256, 123794, 9174, 32977, 43514, 85791, 25827, 5486, 103899, 58942, 30512, 15120, 21990, 103435, 116, 51609, 112854, 107800, 115789, 105693, 107493, 5486, 104575, 15682, 22656, 37507, 198, 103899, 58942, 30512, 109163, 61304, 54926, 110229, 126194, 5486, 103899, 58942, 30512, 121406, 124122, 113727, 24273, 30512, 48864, 104369, 198, 110229, 104468, 101860, 9174, 110241, 5486, 115856, 76622, 70203, 16144, 113727, 24273, 30512, 112854, 58942, 101860, 5486, 103899, 58942, 103378, 30512, 112854, 58942, 101732, 33503, 111476, 103178, 103178, 10110, 29220, 29220, 7705, 116749, 16144, 109163, 61304, 109768, 100604, 115856, 76622, 70203, 15682, 5486, 50338, 124324, 9174, 110241, 5486, 114654, 16144, 106391, 17161, 30512, 113954, 72342, 101860, 5486, 113692, 109163, 61304, 107113, 33503, 111476, 2028, 374, 264, 5869, 110162, 115132, 114740, 16144, 29504, 102185, 15682, 71493, 123437, 38248, 115, 78205, 16073, 5486, 115226, 26854, 198, 33655, 119841, 99959, 106901, 44971, 110162, 5486, 100927, 70626, 102181, 20230, 107121, 103836, 83125, 67016, 87177, 72342, 100604, 9174, 7, 118899, 5486, 100927, 70626, 102181, 16144, 44915, 32977, 124500, 103836, 114420, 55031, 5486, 77386, 85701, 104655, 102532, 198, 112425, 29295, 81219, 106824, 103801, 16995, 102131, 125743, 49940, 239, 340, 99849, 125001, 102334, 118544, 102677, 19732, 5486, 125821, 33655, 105262, 114654, 16144, 99959, 106901, 44971, 30512, 100927, 107290, 120700, 9522, 104446, 104435, 110745, 17792, 101983, 114598, 5486, 85707, 107436, 16144, 106592, 48864, 104369, 110018, 15682, 103899, 58942, 104446, 103470, 38144, 111476, 113727, 24273, 55031, 48864, 104369, 125231, 110034, 32149, 19732, 9174, 67016, 32977, 114318, 114598, 16937, 106515, 26854, 120266, 115408, 104067, 102433, 116537, 5486, 104575, 16556, 33334, 35330, 16144, 106592, 198, 121019, 100927, 107290, 32977, 33503, 107462, 100604, 116233, 9174, 123726, 100481, 47884, 110115, 112160, 87217, 19732, 117952, 100604, 17129, 72661, 5486, 107188, 31431, 107693, 26854, 100909, 103195, 105352, 198, 97518, 78183, 121140, 5486, 38641, 57980, 106609, 67016, 32977, 108948, 35330, 16144, 106592, 17792, 25580, 16556, 87177, 17663, 104468, 5486, 64121, 104043, 126758, 100909, 36785, 111476, 26854, 108861, 25827, 38144, 95604, 114318, 25827, 72661, 100604, 107591, 118273, 19967, 25333, 103296, 109178, 58942, 126268, 102204, 104702, 76947, 9522, 115173, 68759, 44620, 115173, 103621, 16073, 44559, 250, 36761, 16556, 30297, 17129, 16995, 21405, 102321, 124905, 107462, 79721, 123794, 9174, 44620, 103892, 16144, 104712, 104930, 103223, 29295, 5486, 103892, 16144, 109161, 16995, 104930, 103223, 55031, 102729, 122, 18655, 54926, 113009, 19967, 100472, 5486, 72368, 40862, 16144, 104712, 33710, 64178, 36761, 198, 120885, 9174, 107943, 109688, 101513, 9554, 121894, 26854, 110115, 124620, 85701, 5486, 78183, 124403, 55031, 100927, 107290, 36761, 114016, 111476, 76171, 105335, 52414, 105284, 99397, 30512, 80172, 102639, 32149, 107441, 5486, 112832, 111201, 100927, 107290, 32977, 33503, 30297, 16144, 76947, 5486, 17663, 48154, 47884, 198, 109688, 100604, 100909, 36785, 119150, 116233, 9174, 28713, 19732, 58942, 33334, 35330, 15682, 107792, 103664, 120837, 5486, 28713, 19732, 58942, 82973, 15682, 107792, 103664, 120837, 5486, 78698, 105262, 100909, 103378, 15682, 198, 107792, 103664, 56051, 47884, 100604, 125651, 9174, 76171, 105335, 52414, 26854, 103899, 58942, 120937, 107493, 5486, 102729, 122, 18655, 84389, 100604, 103892, 116825, 109749, 39850, 33710, 68759, 102472, 198, 10110, 67016, 32977, 5486, 33655, 105262, 11571, 99959, 106901, 44971, 114308, 119735, 117896, 9174, 11144, 110589, 16144, 31809, 87177, 112479, 113909, 16073, 19732, 103672, 52884, 29295, 113850, 56965, 19732, 126419, 20230, 101701, 115195, 16556, 66953, 25005, 247, 62903, 109496, 30512, 126407, 104127, 16995, 79721, 9174, 110229, 29295, 103672, 52884, 15682, 5486, 102780, 30512, 119870, 64121, 48915, 39926, 101701, 20230, 108436, 102936, 15024, 5486, 89753, 116216, 103801, 16995, 79721, 9174, 113909, 16073, 15682, 5486, 103672, 52884, 30512, 103129, 76622, 101200, 19732, 5486, 111418, 55031, 112909, 110137, 81219, 15024, 124620, 36227, 757, 701, 1450, 0, 36761, 198, 19732, 99849, 27479, 32977, 105424, 102802, 79721, 9174, 72661, 117119, 27479, 105424, 25827, 72661, 103672, 52884, 15682, 112909, 104364, 15024, 20834, 103801, 72342, 25827, 9174, 110924, 16556, 5486, 113909, 16073, 15682, 124620, 102131, 36785, 5486, 103672, 52884, 15682, 19732, 114598, 102663, 78459, 26854, 71289, 59739, 103351, 102189, 36761, 19732, 198, 114284, 121216, 124620, 18293, 856, 1450, 0, 36761, 19732, 105424, 102802, 79721, 9174, 10110, 104702, 33503, 33503, 33503, 33503, 11972, 25827, 40620, 23954, 112990, 120953, 56051, 118733, 109954, 9174, 105321, 19732, 5486, 103672, 52884, 29295, 17663, 103171, 111842, 112909, 104364, 15024, 121406, 77181, 124897, 32149, 9174, 112500, 96356, 109904, 113909, 16073, 112197, 32149, 102639, 16556, 5486, 103672, 52884, 15682, 15120, 51609, 30512, 108167, 104650, 109315, 105908, 103082, 111476, 77693, 126328, 5486, 102663, 78459, 26854, 34171, 35083, 30512, 23226, 109315, 101200, 115717, 79721, 9174, 80539, 5486, 113909, 16073, 15682, 106116, 114487, 64121, 26854, 34171, 35083, 23226, 67178, 16144, 117395, 30512, 104736, 62004, 102204, 5486, 108064, 67016, 116537, 198, 103031, 16144, 106592, 44620, 112690, 16144, 102676, 103991, 104599, 36761, 19732, 105324, 104369, 101200, 115717, 79721, 1811, 19732, 30813, 1811, 128001, 128000, 126783, 15682, 107707, 123726, 24273, 58426, 102944, 1811, 117145, 112028, 34048, 108176, 105933, 48706, 198, 13177, 126783, 15682, 58426, 107707, 123726, 24273, 58426, 102944, 38641, 109807, 114754, 44597, 8107, 78250, 8107, 19732, 101987, 102189, 110018, 20230, 106116, 107707, 117145, 112028, 34048, 108176, 105933, 48706, 16556, 100604, 102083, 124324, 119150, 1811, 126783, 107118, 102131, 95604, 102944, 38641, 10646, 9174, 102494, 99959, 16073, 37823, 91482, 94550, 12422, 18476, 16144, 112959, 103892, 66378, 43167, 13177, 51385, 105635, 112427, 105330, 16144, 117145, 16144, 127178, 117503, 18655, 103234, 39177, 114318, 111243, 104371, 47523, 9554, 103351, 127178, 46729, 9458, 51385, 105635, 112427, 105330, 115867, 112690, 38641, 9174, 102616, 102208, 29504, 16556, 27384, 112495, 107420, 109531, 110548, 30512, 9039, 43240, 47884, 46034, 115856, 105784, 127178, 46729, 15682, 5486, 126783, 102677, 113404, 16144, 102321, 75267, 55031, 106627, 106824, 114732, 115789, 127181, 1811, 72661, 5486, 51385, 105635, 117940, 104662, 39926, 126783, 16144, 102321, 75267, 55031, 106627, 104028, 109335, 21105, 103, 16995, 9174, 122582, 124563, 112371, 26854, 120900, 11571, 103899, 58942, 29295, 102717, 106624, 38144, 115515, 18904, 124773, 91482, 109496, 16144, 44915, 15682, 126783, 16144, 113404, 109853, 43240, 47884, 17885, 118, 16995, 79721, 9174, 51385, 105635, 112427, 105330, 98369, 125030, 76947, 16144, 126783, 107118, 95532, 13177, 126783, 15682, 127178, 16144, 53229, 28542, 107173, 16995, 58942, 33541, 1811, 126783, 15682, 71289, 29295, 38144, 101987, 64121, 46034, 16144, 117145, 112028, 34048, 117282, 116233, 1811, 117145, 16144, 101987, 104004, 46729, 15682, 59614, 101860, 127258, 107001, 100909, 103470, 48706, 15024, 106307, 105784, 116233, 111329, 51385, 105635, 117940, 123357, 32938, 30512, 15682, 100204, 107436, 55031, 101860, 104043, 5486, 116033, 25963, 100818, 240, 113314, 15682, 126783, 30512, 46034, 115856, 76622, 100934, 102677, 9174, 13177, 114516, 112028, 21990, 121960, 5486, 126783, 15682, 27384, 112495, 115552, 30512, 32977, 103836, 105272, 106046, 61689, 1811, 123671, 123671, 15682, 77693, 108680, 37689, 104577, 16144, 101182, 117876, 30512, 127145, 1811, 110382, 20230, 67016, 118765, 126783, 107407, 104466, 5486, 110382, 20230, 67016, 21990, 17129, 110615, 122013, 107407, 1811, 101987, 17129, 16995, 15682, 107707, 61304, 125534, 20230, 102987, 47884, 106145, 17129, 106824, 5486, 64209, 107809, 20230, 123726, 106307, 105784, 1811, 126783, 16144, 113404, 15682, 114318, 111243, 107693, 16556, 71289, 31431, 125001, 107407, 102944, 38641, 1811, 105268, 16995, 113404, 30046, 29295, 127178, 30512, 48864, 104369, 101513, 38093, 103306, 32977, 27384, 102769, 123253, 10646, 9174, 82973, 16144, 110008, 17663, 48249, 31431, 126783, 114556, 78183, 107462, 105898, 16995, 198, 51385, 105635, 117940, 22398, 107059, 103830, 120740, 91482, 123186, 29295, 103721, 108, 31431, 104196, 107001, 102433, 121960, 5486, 127178, 5486, 66378, 20230, 126783, 126636, 102769, 30813, 30512, 5486, 115303, 59739, 115303, 59739, 104257, 121370, 20230, 112690, 30512, 27869, 94, 105557, 36785, 107113, 116499, 78434, 9174, 13177, 32977, 43514, 85791, 25827, 126783, 113404, 102052, 5486, 53283, 109904, 33014, 48634, 19732, 107079, 33014, 109904, 33014, 48634, 29295, 107991, 1811, 77195, 20230, 109972, 124324, 120208, 19732, 17039, 102800, 102944, 116825, 47884, 31431, 121406, 40474, 107969, 32977, 109215, 38641, 1811, 112825, 110904, 111769, 119520, 115408, 15682, 82973, 16144, 110008, 17663, 48249, 31431, 5486, 126783, 114556, 78183, 107462, 105898, 16995, 106046, 76947, 61689, 111329, 126783, 15682, 122013, 29295, 127331, 33503, 17663, 75267, 116787, 5486, 118522, 127178, 107118, 108901, 26854, 31431, 5486, 122013, 16144, 102803, 52591, 105335, 106696, 29295, 32335, 104622, 61826, 38641, 15024, 5486, 104398, 107188, 31634, 103192, 5486, 101987, 64121, 46034, 16144, 57326, 102803, 66953, 57207, 115247, 105184, 33563, 104309, 5486, 163, 35911, 28741, 26854, 113404, 48634, 29295, 105318, 84389, 104533, 29295, 127181, 105879, 5486, 107188, 111331, 102831, 95221, 19732, 40474, 107969, 29295, 109215, 9174, 77413, 111182, 38093, 13177, 51385, 105635, 112427, 105330, 77413, 51753, 114099, 102669, 63072, 10646, 16144, 112798, 103892, 16144, 22398, 70563, 113335, 72661, 5486, 51385, 105635, 98369, 119279, 42891, 116826, 106358, 13177, 116537, 110924, 20230, 67016, 100604, 102944, 107407, 116245, 30512, 120824, 103468, 115737, 31431, 33541, 66383, 95604, 112690, 105352, 33035, 100204, 30369, 102944, 115991, 79721, 9174, 85701, 117758, 102433, 20230, 109215, 26854, 102944, 109900, 15682, 93056, 110924, 20230, 67016, 100604, 117145, 16144, 127178, 863, 116787, 93056, 110924, 20230, 67016, 100604, 117145, 16144, 126783, 863, 126529, 38641, 9174, 51385, 105635, 112427, 105330, 98369, 113404, 16144, 46729, 15682, 101987, 64121, 20230, 47884, 16995, 6447, 11571, 58426, 89151, 37689, 107118, 95532, 51385, 105635, 112427, 105330, 115867, 68408, 91482, 109496, 19967, 103195, 127178, 124052, 108363, 114475, 108363, 56051, 13177, 101987, 104521, 16144, 101544, 102571, 118587, 15682, 100204, 62004, 5486, 102494, 99959, 16073, 37823, 91482, 94550, 77181, 51385, 105635, 115867, 9039, 104680, 16144, 106942, 32977, 19012, 110, 107121, 39926, 50834, 79721, 9174, 51385, 105635, 115867, 40526, 23706, 244, 20230, 60358, 16995, 13177, 112418, 16144, 59739, 109749, 46729, 15682, 101987, 64121, 20230, 47884, 16995, 38641, 57980, 92193, 7705, 10646, 102677, 112690, 9174, 58426, 112690, 16144, 124858, 117083, 102944, 109900, 15682, 101987, 64121, 126172, 16995, 105908, 103378, 29295, 126783, 20230, 109215, 26854, 31634, 72238, 111769, 102677, 100909, 26854, 105879, 109954, 9174, 13177, 101987, 104521, 16144, 101544, 102571, 117503, 101987, 64121, 46034, 15682, 13177, 51385, 105635, 115867, 126783, 20230, 101987, 64121, 106307, 107441, 2118, 123726, 30369, 120266, 72406, 121, 50834, 104435, 863, 10646, 19732, 102158, 76947, 61689, 9174, 106786, 29295, 105104, 104984, 101427, 246, 30512, 30813, 15024, 121270, 107983, 30512, 110968 ]